IO-Compress-Brotli-0.019/0000755000175000017500000000000014722655051013227 5ustar timtimIO-Compress-Brotli-0.019/bin/0000755000175000017500000000000014722655051013777 5ustar timtimIO-Compress-Brotli-0.019/bin/bro-perl0000755000175000017500000000551614722641676015466 0ustar timtim#!/usr/bin/env perl use warnings; use strict; use 5.014; use bytes (); use File::Slurper qw/read_binary write_binary/; use Getopt::Long; use Time::HiRes qw/ gettimeofday tv_interval /; use IO::Compress::Brotli; use IO::Uncompress::Brotli; GetOptions( 'd|decompress' => \(my $DECOMPRESS), 'f|force' => \(my $FORCE), 'h|help' => \(my $HELP), 'i|input=s' => \(my $INPUT), 'o|output=s' => \(my $OUTPUT), 'q|quality=i' => \(my $QUALITY = 11), 'r|repeat=i' => \(my $REPEAT = 1), 's|stream=i' => \(my $STREAM), 'v|verbose' => \(my $VERBOSE), 'w|window=i' => \(my $WINDOW = 22), ); if( $HELP ) { say "Usage: $0 [--force] [--quality n] [--decompress] [--input filename] [--output filename]". " [--repeat iters] [--verbose] [--window n] [--stream size]"; exit 1; } if( $REPEAT > 1 && !($INPUT && $OUTPUT) ) { say "You can only run a benchmark on files specifying --input and --output"; exit 1; } my $t0 = [gettimeofday]; my $total_size = 0; my ($encoded, $decoded); for ( 1..$REPEAT ) { my $ifh; if( $INPUT ) { open $ifh, "<", $INPUT or die "Cannot open input file $INPUT.\n"; } $ifh //= \*STDIN; binmode $ifh; my $ofh; if( $OUTPUT ) { die "Output file exists\n" if( -e $OUTPUT && $REPEAT == 1 && !$FORCE ); open $ofh, ">", $OUTPUT or die "Cannot open output file $OUTPUT.\n"; } $ofh //= \*STDOUT; binmode $ofh; if( $DECOMPRESS ) { $STREAM //= 4 * 1024 * 1024; my $bro = IO::Uncompress::Brotli->create(); while( read $ifh, (my $buf), $STREAM ) { $decoded = $bro->decompress($buf); $total_size += bytes::length( $decoded ); print $ofh $decoded; } } else { if( $STREAM ) { my $bro = IO::Compress::Brotli->create(); $bro->quality( $QUALITY ); $bro->window( $WINDOW ); while( read $ifh, (my $buf), $STREAM ) { $encoded = $bro->compress($buf); $total_size += bytes::length( $buf ); print $ofh $encoded; } $encoded = $bro->finish(); print $ofh $encoded; } else { my $decoded = read_binary( $INPUT ); my $encoded = bro( $decoded, $QUALITY, $WINDOW ); $total_size += bytes::length( $decoded ); write_binary( $OUTPUT, $encoded ); } } } if( $VERBOSE ) { my $elapsed = tv_interval ( $t0 ); say "Ran $REPEAT iterations in a total of $elapsed seconds"; say sprintf( "Brotli %s speed: %.6f MB/s", ( $DECOMPRESS ? "decompression" : "compression" ), $total_size / 1024 / 1024 / $elapsed ); } IO-Compress-Brotli-0.019/t/0000755000175000017500000000000014722655051013472 5ustar timtimIO-Compress-Brotli-0.019/t/01-uncompress.t0000644000175000017500000000132414722641700016267 0ustar timtim#!/usr/bin/perl use v5.08; use warnings; use Test::More tests => 132; use File::Slurper qw/read_binary/; use IO::Uncompress::Brotli; for my $test () { my $expected = $test; $expected =~ s/\.compressed.*//; $expected = read_binary $expected; my $decoded = unbro ((scalar read_binary $test), 1_000_000); is $decoded, $expected, "$test (two-argument unbro)"; $decoded = unbro scalar read_binary $test; is $decoded, $expected, "$test (one-argument unbro)"; open FH, '<', $test; binmode FH; my $unbro = IO::Uncompress::Brotli->create; my ($buf, $out); until (eof FH) { read FH, $buf, 100; $out .= $unbro->decompress($buf); } is $out, $expected, "$test (streaming)"; } IO-Compress-Brotli-0.019/t/02-roundtrip.t0000644000175000017500000000143614722641700016124 0ustar timtim#!/usr/bin/perl use v5.08; use warnings; use Test::More tests => 126; use File::Slurper qw/read_binary/; use IO::Compress::Brotli; use IO::Uncompress::Brotli; for my $test () { my $source = $test; $source =~ s/\.compressed.*//; $source = read_binary $source; for my $quality (9,11) { my $encoded = bro($source, $quality); my $decoded = unbro($encoded, 1_000_000); is $decoded, $source, "$test - quality $quality"; } for my $quality (1,5,9,11) { my $enc = IO::Compress::Brotli->create; $enc->quality($quality); my $encoded = $enc->compress($source); $encoded .= $enc->finish(); my $dec = IO::Uncompress::Brotli->create; my $decoded = $dec->decompress($encoded); is $decoded, $source, "$test - streaming / quality $quality"; } } IO-Compress-Brotli-0.019/t/00-load.t0000644000175000017500000000023214722641700015004 0ustar timtim#!/usr/bin/perl use v5.08; use warnings; use Test::More tests => 2; BEGIN { use_ok('IO::Compress::Brotli'); use_ok('IO::Uncompress::Brotli'); } IO-Compress-Brotli-0.019/brotli/0000755000175000017500000000000014722655051014522 5ustar timtimIO-Compress-Brotli-0.019/brotli/CMakeLists.txt0000644000175000017500000003114114606651213017257 0ustar timtim# Available CMake versions: # - Ubuntu 20.04 LTS : 3.16.3 # - Solaris 11.4 SRU 15 : 3.15 cmake_minimum_required(VERSION 3.15) # Since this project's version is loaded from other files, this policy # will help suppress the warning generated by cmake. # This policy is set because we can't provide "VERSION" in "project" command. # Use `cmake --help-policy CMP0048` for more information. cmake_policy(SET CMP0048 NEW) project(brotli C) option(BUILD_SHARED_LIBS "Build shared libraries" ON) if(NOT CMAKE_BUILD_TYPE AND NOT CMAKE_CONFIGURATION_TYPES) message(STATUS "Setting build type to Release as none was specified.") set(CMAKE_BUILD_TYPE "Release" CACHE STRING "Choose the type of build." FORCE) else() message(STATUS "Build type is '${CMAKE_BUILD_TYPE}'") endif() include(CheckCSourceCompiles) check_c_source_compiles( "#if defined(__EMSCRIPTEN__) int main() {return 0;} #endif" BROTLI_EMSCRIPTEN ) if (BROTLI_EMSCRIPTEN) message("-- Compiler is EMSCRIPTEN") else() message("-- Compiler is not EMSCRIPTEN") endif() # If Brotli is being bundled in another project, we don't want to # install anything. However, we want to let people override this, so # we'll use the BROTLI_BUNDLED_MODE variable to let them do that; just # set it to OFF in your project before you add_subdirectory(brotli). get_directory_property(BROTLI_PARENT_DIRECTORY PARENT_DIRECTORY) if(NOT DEFINED BROTLI_BUNDLED_MODE) # Bundled mode hasn't been set one way or the other, set the default # depending on whether or not we are the top-level project. if(BROTLI_PARENT_DIRECTORY) set(BROTLI_BUNDLED_MODE ON) else() set(BROTLI_BUNDLED_MODE OFF) endif() endif() mark_as_advanced(BROTLI_BUNDLED_MODE) include(GNUInstallDirs) # Reads macro from .h file; it is expected to be a single-line define. function(read_macro PATH MACRO OUTPUT) file(STRINGS ${PATH} _line REGEX "^#define +${MACRO} +(.+)$") string(REGEX REPLACE "^#define +${MACRO} +(.+)$" "\\1" _val "${_line}") set(${OUTPUT} ${_val} PARENT_SCOPE) endfunction(read_macro) # Version information read_macro("c/common/version.h" "BROTLI_VERSION_MAJOR" BROTLI_VERSION_MAJOR) read_macro("c/common/version.h" "BROTLI_VERSION_MINOR" BROTLI_VERSION_MINOR) read_macro("c/common/version.h" "BROTLI_VERSION_PATCH" BROTLI_VERSION_PATCH) set(BROTLI_VERSION "${BROTLI_VERSION_MAJOR}.${BROTLI_VERSION_MINOR}.${BROTLI_VERSION_PATCH}") mark_as_advanced(BROTLI_VERSION BROTLI_VERSION_MAJOR BROTLI_VERSION_MINOR BROTLI_VERSION_PATCH) # ABI Version information read_macro("c/common/version.h" "BROTLI_ABI_CURRENT" BROTLI_ABI_CURRENT) read_macro("c/common/version.h" "BROTLI_ABI_REVISION" BROTLI_ABI_REVISION) read_macro("c/common/version.h" "BROTLI_ABI_AGE" BROTLI_ABI_AGE) math(EXPR BROTLI_ABI_COMPATIBILITY "${BROTLI_ABI_CURRENT} - ${BROTLI_ABI_AGE}") mark_as_advanced(BROTLI_ABI_CURRENT BROTLI_ABI_REVISION BROTLI_ABI_AGE BROTLI_ABI_COMPATIBILITY) if (ENABLE_SANITIZER) set(CMAKE_C_FLAGS " ${CMAKE_C_FLAGS} -fsanitize=${ENABLE_SANITIZER}") set(CMAKE_CXX_FLAGS " ${CMAKE_CXX_FLAGS} -fsanitize=${ENABLE_SANITIZER}") set(CMAKE_EXE_LINKER_FLAGS "${CMAKE_EXE_LINKER_FLAGS} -fsanitize=${ENABLE_SANITIZER}") endif () include(CheckFunctionExists) set(LIBM_LIBRARY) CHECK_FUNCTION_EXISTS(log2 LOG2_RES) if(NOT LOG2_RES) set(orig_req_libs "${CMAKE_REQUIRED_LIBRARIES}") set(CMAKE_REQUIRED_LIBRARIES "${CMAKE_REQUIRED_LIBRARIES};m") CHECK_FUNCTION_EXISTS(log2 LOG2_LIBM_RES) if(LOG2_LIBM_RES) set(LIBM_LIBRARY "m") add_definitions(-DBROTLI_HAVE_LOG2=1) else() add_definitions(-DBROTLI_HAVE_LOG2=0) endif() set(CMAKE_REQUIRED_LIBRARIES "${orig_req_libs}") unset(LOG2_LIBM_RES) unset(orig_req_libs) else() add_definitions(-DBROTLI_HAVE_LOG2=1) endif() unset(LOG2_RES) set(BROTLI_INCLUDE_DIRS "${CMAKE_CURRENT_SOURCE_DIR}/c/include") mark_as_advanced(BROTLI_INCLUDE_DIRS) set(BROTLI_LIBRARIES_CORE brotlienc brotlidec brotlicommon) set(BROTLI_LIBRARIES ${BROTLI_LIBRARIES_CORE} ${LIBM_LIBRARY}) mark_as_advanced(BROTLI_LIBRARIES) if(${CMAKE_SYSTEM_NAME} MATCHES "Linux") add_definitions(-DOS_LINUX) elseif(${CMAKE_SYSTEM_NAME} MATCHES "FreeBSD") add_definitions(-DOS_FREEBSD) elseif(${CMAKE_SYSTEM_NAME} MATCHES "Darwin") add_definitions(-DOS_MACOSX) set(CMAKE_MACOS_RPATH TRUE) set(CMAKE_INSTALL_NAME_DIR "${CMAKE_INSTALL_PREFIX}/lib") endif() if(BROTLI_EMSCRIPTEN) set(BUILD_SHARED_LIBS OFF) endif() file(GLOB_RECURSE BROTLI_COMMON_SOURCES RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} c/common/*.c) add_library(brotlicommon ${BROTLI_COMMON_SOURCES}) file(GLOB_RECURSE BROTLI_DEC_SOURCES RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} c/dec/*.c) add_library(brotlidec ${BROTLI_DEC_SOURCES}) file(GLOB_RECURSE BROTLI_ENC_SOURCES RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} c/enc/*.c) add_library(brotlienc ${BROTLI_ENC_SOURCES}) # Older CMake versions does not understand INCLUDE_DIRECTORIES property. include_directories(${BROTLI_INCLUDE_DIRS}) if(BUILD_SHARED_LIBS) foreach(lib ${BROTLI_LIBRARIES_CORE}) target_compile_definitions(${lib} PUBLIC "BROTLI_SHARED_COMPILATION" ) string(TOUPPER "${lib}" LIB) set_target_properties (${lib} PROPERTIES DEFINE_SYMBOL "${LIB}_SHARED_COMPILATION") endforeach() endif() foreach(lib ${BROTLI_LIBRARIES_CORE}) target_link_libraries(${lib} ${LIBM_LIBRARY}) set_property(TARGET ${lib} APPEND PROPERTY INCLUDE_DIRECTORIES ${BROTLI_INCLUDE_DIRS}) set_target_properties(${lib} PROPERTIES VERSION "${BROTLI_ABI_COMPATIBILITY}.${BROTLI_ABI_AGE}.${BROTLI_ABI_REVISION}" SOVERSION "${BROTLI_ABI_COMPATIBILITY}") if(NOT BROTLI_EMSCRIPTEN) set_target_properties(${lib} PROPERTIES POSITION_INDEPENDENT_CODE TRUE) endif() set_property(TARGET ${lib} APPEND PROPERTY INTERFACE_INCLUDE_DIRECTORIES "$") endforeach() if(NOT BROTLI_EMSCRIPTEN) target_link_libraries(brotlidec brotlicommon) target_link_libraries(brotlienc brotlicommon) endif() # For projects stuck on older versions of CMake, this will set the # BROTLI_INCLUDE_DIRS and BROTLI_LIBRARIES variables so they still # have a relatively easy way to use Brotli: # # include_directories(${BROTLI_INCLUDE_DIRS}) # target_link_libraries(foo ${BROTLI_LIBRARIES}) if(BROTLI_PARENT_DIRECTORY) set(BROTLI_INCLUDE_DIRS "${BROTLI_INCLUDE_DIRS}" PARENT_SCOPE) set(BROTLI_LIBRARIES "${BROTLI_LIBRARIES}" PARENT_SCOPE) endif() # Build the brotli executable add_executable(brotli c/tools/brotli.c) target_link_libraries(brotli ${BROTLI_LIBRARIES}) # Installation if(NOT BROTLI_BUNDLED_MODE) install( TARGETS brotli RUNTIME DESTINATION "${CMAKE_INSTALL_BINDIR}" ) install( TARGETS ${BROTLI_LIBRARIES_CORE} ARCHIVE DESTINATION "${CMAKE_INSTALL_LIBDIR}" LIBRARY DESTINATION "${CMAKE_INSTALL_LIBDIR}" RUNTIME DESTINATION "${CMAKE_INSTALL_BINDIR}" ) install( DIRECTORY ${BROTLI_INCLUDE_DIRS}/brotli DESTINATION "${CMAKE_INSTALL_INCLUDEDIR}" ) endif() # BROTLI_BUNDLED_MODE # Tests # If we're targeting Windows but not running on Windows, we need Wine # to run the tests... if(NOT BROTLI_DISABLE_TESTS) if(WIN32 AND NOT CMAKE_HOST_WIN32) find_program(BROTLI_WRAPPER NAMES wine) if(NOT BROTLI_WRAPPER) message(STATUS "wine not found, disabling tests") set(BROTLI_DISABLE_TESTS TRUE) endif() endif() endif() # If our compiler is a cross-compiler that we know about (arm/aarch64), # then we need to use qemu to execute the tests. if(NOT BROTLI_DISABLE_TESTS) if ("${CMAKE_C_COMPILER}" MATCHES "^.*/arm-linux-gnueabihf-.*$") message(STATUS "Detected arm-linux-gnueabihf cross-compilation") set(BROTLI_WRAPPER "qemu-arm") set(BROTLI_WRAPPER_LD_PREFIX "/usr/arm-linux-gnueabihf") endif() if ("${CMAKE_C_COMPILER}" MATCHES "^.*/arm-linux-gnueabi-.*$") message(STATUS "Detected arm-linux-gnueabi cross-compilation") set(BROTLI_WRAPPER "qemu-arm") set(BROTLI_WRAPPER_LD_PREFIX "/usr/arm-linux-gnueabi") endif() if ("${CMAKE_C_COMPILER}" MATCHES "^.*/aarch64-linux-gnu-.*$") message(STATUS "Detected aarch64-linux-gnu cross-compilation") set(BROTLI_WRAPPER "qemu-aarch64") set(BROTLI_WRAPPER_LD_PREFIX "/usr/aarch64-linux-gnu") endif() endif() if(NOT BROTLI_DISABLE_TESTS) include(CTest) enable_testing() set(ROUNDTRIP_INPUTS tests/testdata/alice29.txt tests/testdata/asyoulik.txt tests/testdata/lcet10.txt tests/testdata/plrabn12.txt c/enc/encode.c c/common/dictionary.h c/dec/decode.c) foreach(INPUT ${ROUNDTRIP_INPUTS}) get_filename_component(OUTPUT_NAME "${INPUT}" NAME) set(OUTPUT_FILE "${CMAKE_CURRENT_BINARY_DIR}/${OUTPUT_NAME}") set(INPUT_FILE "${CMAKE_CURRENT_SOURCE_DIR}/${INPUT}") if (EXISTS "${INPUT_FILE}") foreach(quality 1 6 9 11) add_test(NAME "${BROTLI_TEST_PREFIX}roundtrip/${INPUT}/${quality}" COMMAND "${CMAKE_COMMAND}" -DBROTLI_WRAPPER=${BROTLI_WRAPPER} -DBROTLI_WRAPPER_LD_PREFIX=${BROTLI_WRAPPER_LD_PREFIX} -DBROTLI_CLI=$ -DQUALITY=${quality} -DINPUT=${INPUT_FILE} -DOUTPUT=${OUTPUT_FILE}.${quality} -P ${CMAKE_CURRENT_SOURCE_DIR}/tests/run-roundtrip-test.cmake) endforeach() else() message(WARNING "Test file ${INPUT} does not exist.") endif() endforeach() file(GLOB_RECURSE COMPATIBILITY_INPUTS RELATIVE ${CMAKE_CURRENT_SOURCE_DIR} tests/testdata/*.compressed*) foreach(INPUT ${COMPATIBILITY_INPUTS}) add_test(NAME "${BROTLI_TEST_PREFIX}compatibility/${INPUT}" COMMAND "${CMAKE_COMMAND}" -DBROTLI_WRAPPER=${BROTLI_WRAPPER} -DBROTLI_WRAPPER_LD_PREFIX=${BROTLI_WRAPPER_LD_PREFIX} -DBROTLI_CLI=$ -DINPUT=${CMAKE_CURRENT_SOURCE_DIR}/${INPUT} -P ${CMAKE_CURRENT_SOURCE_DIR}/tests/run-compatibility-test.cmake) endforeach() endif() # Generate a pkg-config files function(generate_pkg_config_path outvar path) string(LENGTH "${path}" path_length) set(path_args ${ARGV}) list(REMOVE_AT path_args 0 1) list(LENGTH path_args path_args_remaining) set("${outvar}" "${path}") while(path_args_remaining GREATER 1) list(GET path_args 0 name) list(GET path_args 1 value) get_filename_component(value_full "${value}" ABSOLUTE) string(LENGTH "${value}" value_length) if(path_length EQUAL value_length AND path STREQUAL value) set("${outvar}" "\${${name}}") break() elseif(path_length GREATER value_length) # We might be in a subdirectory of the value, but we have to be # careful about a prefix matching but not being a subdirectory # (for example, /usr/lib64 is not a subdirectory of /usr/lib). # We'll do this by making sure the next character is a directory # separator. string(SUBSTRING "${path}" ${value_length} 1 sep) if(sep STREQUAL "/") string(SUBSTRING "${path}" 0 ${value_length} s) if(s STREQUAL value) string(SUBSTRING "${path}" "${value_length}" -1 suffix) set("${outvar}" "\${${name}}${suffix}") break() endif() endif() endif() list(REMOVE_AT path_args 0 1) list(LENGTH path_args path_args_remaining) endwhile() set("${outvar}" "${${outvar}}" PARENT_SCOPE) endfunction(generate_pkg_config_path) function(transform_pc_file INPUT_FILE OUTPUT_FILE VERSION) file(READ ${INPUT_FILE} TEXT) set(PREFIX "${CMAKE_INSTALL_PREFIX}") string(REGEX REPLACE "@prefix@" "${PREFIX}" TEXT ${TEXT}) string(REGEX REPLACE "@exec_prefix@" "${PREFIX}" TEXT ${TEXT}) generate_pkg_config_path(LIBDIR "${CMAKE_INSTALL_FULL_LIBDIR}" prefix "${PREFIX}") string(REGEX REPLACE "@libdir@" "${LIBDIR}" TEXT ${TEXT}) generate_pkg_config_path(INCLUDEDIR "${CMAKE_INSTALL_FULL_INCLUDEDIR}" prefix "${PREFIX}") string(REGEX REPLACE "@includedir@" "${INCLUDEDIR}" TEXT ${TEXT}) string(REGEX REPLACE "@PACKAGE_VERSION@" "${VERSION}" TEXT ${TEXT}) file(WRITE ${OUTPUT_FILE} ${TEXT}) endfunction() transform_pc_file("scripts/libbrotlicommon.pc.in" "${CMAKE_CURRENT_BINARY_DIR}/libbrotlicommon.pc" "${BROTLI_VERSION}") transform_pc_file("scripts/libbrotlidec.pc.in" "${CMAKE_CURRENT_BINARY_DIR}/libbrotlidec.pc" "${BROTLI_VERSION}") transform_pc_file("scripts/libbrotlienc.pc.in" "${CMAKE_CURRENT_BINARY_DIR}/libbrotlienc.pc" "${BROTLI_VERSION}") if(NOT BROTLI_BUNDLED_MODE) install(FILES "${CMAKE_CURRENT_BINARY_DIR}/libbrotlicommon.pc" DESTINATION "${CMAKE_INSTALL_LIBDIR}/pkgconfig") install(FILES "${CMAKE_CURRENT_BINARY_DIR}/libbrotlidec.pc" DESTINATION "${CMAKE_INSTALL_LIBDIR}/pkgconfig") install(FILES "${CMAKE_CURRENT_BINARY_DIR}/libbrotlienc.pc" DESTINATION "${CMAKE_INSTALL_LIBDIR}/pkgconfig") endif() # BROTLI_BUNDLED_MODE if (ENABLE_COVERAGE STREQUAL "yes") SETUP_TARGET_FOR_COVERAGE(coverage test coverage) endif () IO-Compress-Brotli-0.019/brotli/CHANGELOG.md0000644000175000017500000001305514606651213016334 0ustar timtim# Changelog All notable changes to this project will be documented in this file. The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/), and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.html). ## Unreleased ## [1.1.0] - 2023-08-28 ### Added - decoder: `BrotliDecoderAttachDictionary` - decoder: `BrotliDecoderOnFinish` callback behind `BROTLI_REPORTING` - decoder: `BrotliDecoderSetMetadataCallbacks` - encoder: `BrotliEncoderPrepareDictionary`, `BrotliEncoderDestroyPreparedDictionary`, `BrotliEncoderAttachPreparedDictionary` - decoder: `BrotliEncoderOnFinish` callback behind `BROTLI_REPORTING` - common: `BrotliSharedDictionaryCreateInstance`, `BrotliSharedDictionaryDestroyInstance`, `BrotliSharedDictionaryAttach` - CLI: `--dictionary` option - java: encoder wrapper: `Parameters.mode` - java: `Brotli{Input|Output}Stream.attachDictionary` - java: wrapper: partial byte array input - typescript: decoder (transpiled from Java) ### Removed - build: `BROTLI_BUILD_PORTABLE` option ### Fixed - java: JNI decoder failed sometimes on power of 2 payloads ### Improved - java / js: smaller decoder footprint - decoder: faster decoding - encoder: faster encoding - encoder: smaller stack frames ## [1.0.9] - 2020-08-27 Re-release of 1.0.8. ## [1.0.8] - 2020-08-27 ### SECURITY - CVE-2020-8927: potential overflow when input chunk is >2GiB ### Added - encoder: `BROTLI_PARAM_STREAM_OFFSET` ### Improved - CLI: better reporting - CLI: workaround for "lying feof" - java: faster decoding - java: support "large window" - encoder: use less memory - release: filter sources for the tarball ## [1.0.7] - 2018-10-23 ### Improved - decoder: faster decoding on ARM CPU ## [1.0.6] - 2018-09-13 ### Fixed - build: AutoMake and CMake build - java: JDK 8<->9 incompatibility ## [1.0.5] - 2018-06-27 ### Added - scripts: extraction of static dictionary from RFC ### Improved - encoder: better compression at quality 1 - encoder: better compression with "large window" ## [1.0.4] - 2018-03-29 ### Added - encoder: `BROTLI_PARAM_NPOSTFIX`, `BROTLI_PARAM_NDIRECT` - CLI: `--large_window` option ### Improved - encoder: better compression ## [1.0.3] - 2018-03-02 ### Added - decoder: `BROTLI_DECODER_PARAM_LARGE_WINDOW` enum - encoder: `BROTLI_PARAM_LARGE_WINDOW` enum - java: `BrotliInputStream.setEager` ### Fixed - build: AutoMake build in some environments - encoder: fix one-shot q=10 1-byte input compression ### Improved - encoder: better font compression ## [1.0.2] - 2017-11-28 ### Added - build: AutoMake - research: better dictionary generators ## [1.0.1] - 2017-09-22 ### Changed - clarifications in `README.md` ## [1.0.0] - 2017-09-20 ### Added - decoder: `BrotliDecoderSetParameter` - csharp: decoder (transpiled from Java) - java: JNI wrappers - javascript: decoder (transpiled from Java) - python: streaming decompression - research: dictionary generator ### Changed - CLI: rename `bro` to `brotli` ### Removed - decoder: `BrotliDecoderSetCustomDictionary` - encoder: `BrotliEncoderSetCustomDictionary` ### Improved - java: faster decoding - encoder: faster compression ## [0.6.0] - 2017-04-10 ### Added - CLI: `--no-copy-stat option - java: pure java decoder - build: fuzzers - research: `brotlidump` tool to explore brotli streams - go: wrapper ### Removed - decoder: API with plain `Brotli` prefix ### Deprecated - encoder: `BrotliEncoderInputBlockSize`, `BrotliEncoderCopyInputToRingBuffer`, `BrotliEncoderWriteData` ### Improved - encoder: faster compression - encoder: denser compression - decoder: faster decompression - python: release GIL - python: use zero-copy API ## [0.5.2] - 2016-08-11 ### Added - common: `BROTLI_BOOL`, `BROTLI_TRUE`, `BROTLI_FALSE` - decoder: API with `BrotliDecoder` prefix instead of plain `Brotli` - build: Bazel, CMake ### Deprecated - decoder: API with plain `Brotli` prefix ### Changed - boolean argument / result types are re-branded as `BROTLI_BOOL` ### Improved - build: reduced amount of warnings in various build environments - encoder: faster compression - encoder: lower memory usage ## [0.5.0] - 2016-06-15 ### Added - common: library has been assembled from shared parts of decoder and encoder - encoder: C API ### Removed - encoder: C++ API ## [0.4.0] - 2016-06-14 ### Added - encoder: faster compression modes (quality 0 and 1) - decoder: `BrotliGetErrorCode`, `BrotliErrorString` and `BROTLI_ERROR_CODES_LIST` ### Removed - decoder: deprecated streaming API (using `BrotliInput`) ### Fixed - decoder: possible pointer underflow ### Improved - encoder: faster compression ## [0.3.0] - 2015-12-22 ### LICENSE License have been upgraded to more permissive MIT. ### Added - CLI: `--window` option - `tools/version.h` file - decoder: low level streaming API - decoder: custom memory manager API ### Deprecated - decoder: streaming API using `BrotliInput` struct ### Fixed - decoder: processing of uncompressed blocks - encoder: possible division by zero ### Improved - encoder: faster decompression - build: more portable builds for various CPU architectures ## [0.2.0] - 2015-09-01 ### Added - CLI: `--verbose` and `--repeat` options ### Fixed - decoder: processing of uncompressed blocks - encoder: block stitching on quality 10 / 11 ### Improved - build: CI/CD integration - build: better test coverage - encoder: better compression of UTF-8 content - encoder: faster decompression ## [0.1.0] - 2015-08-11 Initial release. IO-Compress-Brotli-0.019/brotli/README0000644000175000017500000000121414606651213015375 0ustar timtimBROTLI DATA COMPRESSION LIBRARY Brotli is a generic-purpose lossless compression algorithm that compresses data using a combination of a modern variant of the LZ77 algorithm, Huffman coding and 2nd order context modeling, with a compression ratio comparable to the best currently available general-purpose compression methods. It is similar in speed with deflate but offers more dense compression. The specification of the Brotli Compressed Data Format is defined in RFC 7932 https://tools.ietf.org/html/rfc7932 Brotli is open-sourced under the MIT License, see the LICENSE file. Brotli mailing list: https://groups.google.com/forum/#!forum/brotli IO-Compress-Brotli-0.019/brotli/tests/0000755000175000017500000000000014722655051015664 5ustar timtimIO-Compress-Brotli-0.019/brotli/tests/roundtrip_test.sh0000755000175000017500000000163114606651215021310 0ustar timtim#!/usr/bin/env bash # # Roundtrip test for the brotli command-line tool. # # The first argument may be a wrapper for brotli, such as 'qemu-arm'. set -o errexit BROTLI_WRAPPER=$1 BROTLI="${BROTLI_WRAPPER} bin/brotli" TMP_DIR=bin/tmp INPUTS=""" tests/testdata/alice29.txt tests/testdata/asyoulik.txt tests/testdata/lcet10.txt tests/testdata/plrabn12.txt c/enc/encode.c c/common/dictionary.h c/dec/decode.c """ for file in $INPUTS; do if [ -f $file ]; then for quality in 1 6 9 11; do echo "Roundtrip testing $file at quality $quality" compressed=${TMP_DIR}/${file##*/}.br uncompressed=${TMP_DIR}/${file##*/}.unbr $BROTLI -fq $quality $file -o $compressed $BROTLI $compressed -fdo $uncompressed diff -q $file $uncompressed # Test the streaming version cat $file | $BROTLI -cq $quality | $BROTLI -cd >$uncompressed diff -q $file $uncompressed done fi done IO-Compress-Brotli-0.019/brotli/tests/testdata/0000755000175000017500000000000014722655051017475 5ustar timtimIO-Compress-Brotli-0.019/brotli/tests/testdata/ukkonooa0000644000175000017500000000016714606651216021252 0ustar timtimukko nooa, ukko nooa oli kunnon mies, kun han meni saunaan, pisti laukun naulaan, ukko nooa, ukko nooa oli kunnon mies.IO-Compress-Brotli-0.019/brotli/tests/testdata/zeros.compressed0000644000175000017500000000001514606651216022721 0ustar timtim[`  (~IO-Compress-Brotli-0.019/brotli/tests/testdata/x.compressed.030000644000175000017500000000001214606651216022244 0ustar timtimIO-Compress-Brotli-0.019/brotli/tests/testdata/xyzzy.compressed0000644000175000017500000000001114606651216022770 0ustar timtim XyzzyIO-Compress-Brotli-0.019/brotli/tests/testdata/empty.compressed.070000644000175000017500000000000214606651216023136 0ustar timtimIO-Compress-Brotli-0.019/brotli/tests/testdata/x.compressed.010000644000175000017500000000001014606651216022240 0ustar timtim,XXIO-Compress-Brotli-0.019/brotli/tests/testdata/asyoulik.txt0000644000175000017500000036437314606651215022115 0ustar timtim AS YOU LIKE IT DRAMATIS PERSONAE DUKE SENIOR living in banishment. DUKE FREDERICK his brother, an usurper of his dominions. AMIENS | | lords attending on the banished duke. JAQUES | LE BEAU a courtier attending upon Frederick. CHARLES wrestler to Frederick. OLIVER | | JAQUES (JAQUES DE BOYS:) | sons of Sir Rowland de Boys. | ORLANDO | ADAM | | servants to Oliver. DENNIS | TOUCHSTONE a clown. SIR OLIVER MARTEXT a vicar. CORIN | | shepherds. SILVIUS | WILLIAM a country fellow in love with Audrey. A person representing HYMEN. (HYMEN:) ROSALIND daughter to the banished duke. CELIA daughter to Frederick. PHEBE a shepherdess. AUDREY a country wench. Lords, pages, and attendants, &c. (Forester:) (A Lord:) (First Lord:) (Second Lord:) (First Page:) (Second Page:) SCENE Oliver's house; Duke Frederick's court; and the Forest of Arden. AS YOU LIKE IT ACT I SCENE I Orchard of Oliver's house. [Enter ORLANDO and ADAM] ORLANDO As I remember, Adam, it was upon this fashion bequeathed me by will but poor a thousand crowns, and, as thou sayest, charged my brother, on his blessing, to breed me well: and there begins my sadness. My brother Jaques he keeps at school, and report speaks goldenly of his profit: for my part, he keeps me rustically at home, or, to speak more properly, stays me here at home unkept; for call you that keeping for a gentleman of my birth, that differs not from the stalling of an ox? His horses are bred better; for, besides that they are fair with their feeding, they are taught their manage, and to that end riders dearly hired: but I, his brother, gain nothing under him but growth; for the which his animals on his dunghills are as much bound to him as I. Besides this nothing that he so plentifully gives me, the something that nature gave me his countenance seems to take from me: he lets me feed with his hinds, bars me the place of a brother, and, as much as in him lies, mines my gentility with my education. This is it, Adam, that grieves me; and the spirit of my father, which I think is within me, begins to mutiny against this servitude: I will no longer endure it, though yet I know no wise remedy how to avoid it. ADAM Yonder comes my master, your brother. ORLANDO Go apart, Adam, and thou shalt hear how he will shake me up. [Enter OLIVER] OLIVER Now, sir! what make you here? ORLANDO Nothing: I am not taught to make any thing. OLIVER What mar you then, sir? ORLANDO Marry, sir, I am helping you to mar that which God made, a poor unworthy brother of yours, with idleness. OLIVER Marry, sir, be better employed, and be naught awhile. ORLANDO Shall I keep your hogs and eat husks with them? What prodigal portion have I spent, that I should come to such penury? OLIVER Know you where your are, sir? ORLANDO O, sir, very well; here in your orchard. OLIVER Know you before whom, sir? ORLANDO Ay, better than him I am before knows me. I know you are my eldest brother; and, in the gentle condition of blood, you should so know me. The courtesy of nations allows you my better, in that you are the first-born; but the same tradition takes not away my blood, were there twenty brothers betwixt us: I have as much of my father in me as you; albeit, I confess, your coming before me is nearer to his reverence. OLIVER What, boy! ORLANDO Come, come, elder brother, you are too young in this. OLIVER Wilt thou lay hands on me, villain? ORLANDO I am no villain; I am the youngest son of Sir Rowland de Boys; he was my father, and he is thrice a villain that says such a father begot villains. Wert thou not my brother, I would not take this hand from thy throat till this other had pulled out thy tongue for saying so: thou hast railed on thyself. ADAM Sweet masters, be patient: for your father's remembrance, be at accord. OLIVER Let me go, I say. ORLANDO I will not, till I please: you shall hear me. My father charged you in his will to give me good education: you have trained me like a peasant, obscuring and hiding from me all gentleman-like qualities. The spirit of my father grows strong in me, and I will no longer endure it: therefore allow me such exercises as may become a gentleman, or give me the poor allottery my father left me by testament; with that I will go buy my fortunes. OLIVER And what wilt thou do? beg, when that is spent? Well, sir, get you in: I will not long be troubled with you; you shall have some part of your will: I pray you, leave me. ORLANDO I will no further offend you than becomes me for my good. OLIVER Get you with him, you old dog. ADAM Is 'old dog' my reward? Most true, I have lost my teeth in your service. God be with my old master! he would not have spoke such a word. [Exeunt ORLANDO and ADAM] OLIVER Is it even so? begin you to grow upon me? I will physic your rankness, and yet give no thousand crowns neither. Holla, Dennis! [Enter DENNIS] DENNIS Calls your worship? OLIVER Was not Charles, the duke's wrestler, here to speak with me? DENNIS So please you, he is here at the door and importunes access to you. OLIVER Call him in. [Exit DENNIS] 'Twill be a good way; and to-morrow the wrestling is. [Enter CHARLES] CHARLES Good morrow to your worship. OLIVER Good Monsieur Charles, what's the new news at the new court? CHARLES There's no news at the court, sir, but the old news: that is, the old duke is banished by his younger brother the new duke; and three or four loving lords have put themselves into voluntary exile with him, whose lands and revenues enrich the new duke; therefore he gives them good leave to wander. OLIVER Can you tell if Rosalind, the duke's daughter, be banished with her father? CHARLES O, no; for the duke's daughter, her cousin, so loves her, being ever from their cradles bred together, that she would have followed her exile, or have died to stay behind her. She is at the court, and no less beloved of her uncle than his own daughter; and never two ladies loved as they do. OLIVER Where will the old duke live? CHARLES They say he is already in the forest of Arden, and a many merry men with him; and there they live like the old Robin Hood of England: they say many young gentlemen flock to him every day, and fleet the time carelessly, as they did in the golden world. OLIVER What, you wrestle to-morrow before the new duke? CHARLES Marry, do I, sir; and I came to acquaint you with a matter. I am given, sir, secretly to understand that your younger brother Orlando hath a disposition to come in disguised against me to try a fall. To-morrow, sir, I wrestle for my credit; and he that escapes me without some broken limb shall acquit him well. Your brother is but young and tender; and, for your love, I would be loath to foil him, as I must, for my own honour, if he come in: therefore, out of my love to you, I came hither to acquaint you withal, that either you might stay him from his intendment or brook such disgrace well as he shall run into, in that it is a thing of his own search and altogether against my will. OLIVER Charles, I thank thee for thy love to me, which thou shalt find I will most kindly requite. I had myself notice of my brother's purpose herein and have by underhand means laboured to dissuade him from it, but he is resolute. I'll tell thee, Charles: it is the stubbornest young fellow of France, full of ambition, an envious emulator of every man's good parts, a secret and villanous contriver against me his natural brother: therefore use thy discretion; I had as lief thou didst break his neck as his finger. And thou wert best look to't; for if thou dost him any slight disgrace or if he do not mightily grace himself on thee, he will practise against thee by poison, entrap thee by some treacherous device and never leave thee till he hath ta'en thy life by some indirect means or other; for, I assure thee, and almost with tears I speak it, there is not one so young and so villanous this day living. I speak but brotherly of him; but should I anatomize him to thee as he is, I must blush and weep and thou must look pale and wonder. CHARLES I am heartily glad I came hither to you. If he come to-morrow, I'll give him his payment: if ever he go alone again, I'll never wrestle for prize more: and so God keep your worship! OLIVER Farewell, good Charles. [Exit CHARLES] Now will I stir this gamester: I hope I shall see an end of him; for my soul, yet I know not why, hates nothing more than he. Yet he's gentle, never schooled and yet learned, full of noble device, of all sorts enchantingly beloved, and indeed so much in the heart of the world, and especially of my own people, who best know him, that I am altogether misprised: but it shall not be so long; this wrestler shall clear all: nothing remains but that I kindle the boy thither; which now I'll go about. [Exit] AS YOU LIKE IT ACT I SCENE II Lawn before the Duke's palace. [Enter CELIA and ROSALIND] CELIA I pray thee, Rosalind, sweet my coz, be merry. ROSALIND Dear Celia, I show more mirth than I am mistress of; and would you yet I were merrier? Unless you could teach me to forget a banished father, you must not learn me how to remember any extraordinary pleasure. CELIA Herein I see thou lovest me not with the full weight that I love thee. If my uncle, thy banished father, had banished thy uncle, the duke my father, so thou hadst been still with me, I could have taught my love to take thy father for mine: so wouldst thou, if the truth of thy love to me were so righteously tempered as mine is to thee. ROSALIND Well, I will forget the condition of my estate, to rejoice in yours. CELIA You know my father hath no child but I, nor none is like to have: and, truly, when he dies, thou shalt be his heir, for what he hath taken away from thy father perforce, I will render thee again in affection; by mine honour, I will; and when I break that oath, let me turn monster: therefore, my sweet Rose, my dear Rose, be merry. ROSALIND From henceforth I will, coz, and devise sports. Let me see; what think you of falling in love? CELIA Marry, I prithee, do, to make sport withal: but love no man in good earnest; nor no further in sport neither than with safety of a pure blush thou mayst in honour come off again. ROSALIND What shall be our sport, then? CELIA Let us sit and mock the good housewife Fortune from her wheel, that her gifts may henceforth be bestowed equally. ROSALIND I would we could do so, for her benefits are mightily misplaced, and the bountiful blind woman doth most mistake in her gifts to women. CELIA 'Tis true; for those that she makes fair she scarce makes honest, and those that she makes honest she makes very ill-favouredly. ROSALIND Nay, now thou goest from Fortune's office to Nature's: Fortune reigns in gifts of the world, not in the lineaments of Nature. [Enter TOUCHSTONE] CELIA No? when Nature hath made a fair creature, may she not by Fortune fall into the fire? Though Nature hath given us wit to flout at Fortune, hath not Fortune sent in this fool to cut off the argument? ROSALIND Indeed, there is Fortune too hard for Nature, when Fortune makes Nature's natural the cutter-off of Nature's wit. CELIA Peradventure this is not Fortune's work neither, but Nature's; who perceiveth our natural wits too dull to reason of such goddesses and hath sent this natural for our whetstone; for always the dulness of the fool is the whetstone of the wits. How now, wit! whither wander you? TOUCHSTONE Mistress, you must come away to your father. CELIA Were you made the messenger? TOUCHSTONE No, by mine honour, but I was bid to come for you. ROSALIND Where learned you that oath, fool? TOUCHSTONE Of a certain knight that swore by his honour they were good pancakes and swore by his honour the mustard was naught: now I'll stand to it, the pancakes were naught and the mustard was good, and yet was not the knight forsworn. CELIA How prove you that, in the great heap of your knowledge? ROSALIND Ay, marry, now unmuzzle your wisdom. TOUCHSTONE Stand you both forth now: stroke your chins, and swear by your beards that I am a knave. CELIA By our beards, if we had them, thou art. TOUCHSTONE By my knavery, if I had it, then I were; but if you swear by that that is not, you are not forsworn: no more was this knight swearing by his honour, for he never had any; or if he had, he had sworn it away before ever he saw those pancakes or that mustard. CELIA Prithee, who is't that thou meanest? TOUCHSTONE One that old Frederick, your father, loves. CELIA My father's love is enough to honour him: enough! speak no more of him; you'll be whipped for taxation one of these days. TOUCHSTONE The more pity, that fools may not speak wisely what wise men do foolishly. CELIA By my troth, thou sayest true; for since the little wit that fools have was silenced, the little foolery that wise men have makes a great show. Here comes Monsieur Le Beau. ROSALIND With his mouth full of news. CELIA Which he will put on us, as pigeons feed their young. ROSALIND Then shall we be news-crammed. CELIA All the better; we shall be the more marketable. [Enter LE BEAU] Bon jour, Monsieur Le Beau: what's the news? LE BEAU Fair princess, you have lost much good sport. CELIA Sport! of what colour? LE BEAU What colour, madam! how shall I answer you? ROSALIND As wit and fortune will. TOUCHSTONE Or as the Destinies decree. CELIA Well said: that was laid on with a trowel. TOUCHSTONE Nay, if I keep not my rank,-- ROSALIND Thou losest thy old smell. LE BEAU You amaze me, ladies: I would have told you of good wrestling, which you have lost the sight of. ROSALIND You tell us the manner of the wrestling. LE BEAU I will tell you the beginning; and, if it please your ladyships, you may see the end; for the best is yet to do; and here, where you are, they are coming to perform it. CELIA Well, the beginning, that is dead and buried. LE BEAU There comes an old man and his three sons,-- CELIA I could match this beginning with an old tale. LE BEAU Three proper young men, of excellent growth and presence. ROSALIND With bills on their necks, 'Be it known unto all men by these presents.' LE BEAU The eldest of the three wrestled with Charles, the duke's wrestler; which Charles in a moment threw him and broke three of his ribs, that there is little hope of life in him: so he served the second, and so the third. Yonder they lie; the poor old man, their father, making such pitiful dole over them that all the beholders take his part with weeping. ROSALIND Alas! TOUCHSTONE But what is the sport, monsieur, that the ladies have lost? LE BEAU Why, this that I speak of. TOUCHSTONE Thus men may grow wiser every day: it is the first time that ever I heard breaking of ribs was sport for ladies. CELIA Or I, I promise thee. ROSALIND But is there any else longs to see this broken music in his sides? is there yet another dotes upon rib-breaking? Shall we see this wrestling, cousin? LE BEAU You must, if you stay here; for here is the place appointed for the wrestling, and they are ready to perform it. CELIA Yonder, sure, they are coming: let us now stay and see it. [Flourish. Enter DUKE FREDERICK, Lords, ORLANDO, CHARLES, and Attendants] DUKE FREDERICK Come on: since the youth will not be entreated, his own peril on his forwardness. ROSALIND Is yonder the man? LE BEAU Even he, madam. CELIA Alas, he is too young! yet he looks successfully. DUKE FREDERICK How now, daughter and cousin! are you crept hither to see the wrestling? ROSALIND Ay, my liege, so please you give us leave. DUKE FREDERICK You will take little delight in it, I can tell you; there is such odds in the man. In pity of the challenger's youth I would fain dissuade him, but he will not be entreated. Speak to him, ladies; see if you can move him. CELIA Call him hither, good Monsieur Le Beau. DUKE FREDERICK Do so: I'll not be by. LE BEAU Monsieur the challenger, the princesses call for you. ORLANDO I attend them with all respect and duty. ROSALIND Young man, have you challenged Charles the wrestler? ORLANDO No, fair princess; he is the general challenger: I come but in, as others do, to try with him the strength of my youth. CELIA Young gentleman, your spirits are too bold for your years. You have seen cruel proof of this man's strength: if you saw yourself with your eyes or knew yourself with your judgment, the fear of your adventure would counsel you to a more equal enterprise. We pray you, for your own sake, to embrace your own safety and give over this attempt. ROSALIND Do, young sir; your reputation shall not therefore be misprised: we will make it our suit to the duke that the wrestling might not go forward. ORLANDO I beseech you, punish me not with your hard thoughts; wherein I confess me much guilty, to deny so fair and excellent ladies any thing. But let your fair eyes and gentle wishes go with me to my trial: wherein if I be foiled, there is but one shamed that was never gracious; if killed, but one dead that was willing to be so: I shall do my friends no wrong, for I have none to lament me, the world no injury, for in it I have nothing; only in the world I fill up a place, which may be better supplied when I have made it empty. ROSALIND The little strength that I have, I would it were with you. CELIA And mine, to eke out hers. ROSALIND Fare you well: pray heaven I be deceived in you! CELIA Your heart's desires be with you! CHARLES Come, where is this young gallant that is so desirous to lie with his mother earth? ORLANDO Ready, sir; but his will hath in it a more modest working. DUKE FREDERICK You shall try but one fall. CHARLES No, I warrant your grace, you shall not entreat him to a second, that have so mightily persuaded him from a first. ORLANDO An you mean to mock me after, you should not have mocked me before: but come your ways. ROSALIND Now Hercules be thy speed, young man! CELIA I would I were invisible, to catch the strong fellow by the leg. [They wrestle] ROSALIND O excellent young man! CELIA If I had a thunderbolt in mine eye, I can tell who should down. [Shout. CHARLES is thrown] DUKE FREDERICK No more, no more. ORLANDO Yes, I beseech your grace: I am not yet well breathed. DUKE FREDERICK How dost thou, Charles? LE BEAU He cannot speak, my lord. DUKE FREDERICK Bear him away. What is thy name, young man? ORLANDO Orlando, my liege; the youngest son of Sir Rowland de Boys. DUKE FREDERICK I would thou hadst been son to some man else: The world esteem'd thy father honourable, But I did find him still mine enemy: Thou shouldst have better pleased me with this deed, Hadst thou descended from another house. But fare thee well; thou art a gallant youth: I would thou hadst told me of another father. [Exeunt DUKE FREDERICK, train, and LE BEAU] CELIA Were I my father, coz, would I do this? ORLANDO I am more proud to be Sir Rowland's son, His youngest son; and would not change that calling, To be adopted heir to Frederick. ROSALIND My father loved Sir Rowland as his soul, And all the world was of my father's mind: Had I before known this young man his son, I should have given him tears unto entreaties, Ere he should thus have ventured. CELIA Gentle cousin, Let us go thank him and encourage him: My father's rough and envious disposition Sticks me at heart. Sir, you have well deserved: If you do keep your promises in love But justly, as you have exceeded all promise, Your mistress shall be happy. ROSALIND Gentleman, [Giving him a chain from her neck] Wear this for me, one out of suits with fortune, That could give more, but that her hand lacks means. Shall we go, coz? CELIA Ay. Fare you well, fair gentleman. ORLANDO Can I not say, I thank you? My better parts Are all thrown down, and that which here stands up Is but a quintain, a mere lifeless block. ROSALIND He calls us back: my pride fell with my fortunes; I'll ask him what he would. Did you call, sir? Sir, you have wrestled well and overthrown More than your enemies. CELIA Will you go, coz? ROSALIND Have with you. Fare you well. [Exeunt ROSALIND and CELIA] ORLANDO What passion hangs these weights upon my tongue? I cannot speak to her, yet she urged conference. O poor Orlando, thou art overthrown! Or Charles or something weaker masters thee. [Re-enter LE BEAU] LE BEAU Good sir, I do in friendship counsel you To leave this place. Albeit you have deserved High commendation, true applause and love, Yet such is now the duke's condition That he misconstrues all that you have done. The duke is humorous; what he is indeed, More suits you to conceive than I to speak of. ORLANDO I thank you, sir: and, pray you, tell me this: Which of the two was daughter of the duke That here was at the wrestling? LE BEAU Neither his daughter, if we judge by manners; But yet indeed the lesser is his daughter The other is daughter to the banish'd duke, And here detain'd by her usurping uncle, To keep his daughter company; whose loves Are dearer than the natural bond of sisters. But I can tell you that of late this duke Hath ta'en displeasure 'gainst his gentle niece, Grounded upon no other argument But that the people praise her for her virtues And pity her for her good father's sake; And, on my life, his malice 'gainst the lady Will suddenly break forth. Sir, fare you well: Hereafter, in a better world than this, I shall desire more love and knowledge of you. ORLANDO I rest much bounden to you: fare you well. [Exit LE BEAU] Thus must I from the smoke into the smother; From tyrant duke unto a tyrant brother: But heavenly Rosalind! [Exit] AS YOU LIKE IT ACT I SCENE III A room in the palace. [Enter CELIA and ROSALIND] CELIA Why, cousin! why, Rosalind! Cupid have mercy! not a word? ROSALIND Not one to throw at a dog. CELIA No, thy words are too precious to be cast away upon curs; throw some of them at me; come, lame me with reasons. ROSALIND Then there were two cousins laid up; when the one should be lamed with reasons and the other mad without any. CELIA But is all this for your father? ROSALIND No, some of it is for my child's father. O, how full of briers is this working-day world! CELIA They are but burs, cousin, thrown upon thee in holiday foolery: if we walk not in the trodden paths our very petticoats will catch them. ROSALIND I could shake them off my coat: these burs are in my heart. CELIA Hem them away. ROSALIND I would try, if I could cry 'hem' and have him. CELIA Come, come, wrestle with thy affections. ROSALIND O, they take the part of a better wrestler than myself! CELIA O, a good wish upon you! you will try in time, in despite of a fall. But, turning these jests out of service, let us talk in good earnest: is it possible, on such a sudden, you should fall into so strong a liking with old Sir Rowland's youngest son? ROSALIND The duke my father loved his father dearly. CELIA Doth it therefore ensue that you should love his son dearly? By this kind of chase, I should hate him, for my father hated his father dearly; yet I hate not Orlando. ROSALIND No, faith, hate him not, for my sake. CELIA Why should I not? doth he not deserve well? ROSALIND Let me love him for that, and do you love him because I do. Look, here comes the duke. CELIA With his eyes full of anger. [Enter DUKE FREDERICK, with Lords] DUKE FREDERICK Mistress, dispatch you with your safest haste And get you from our court. ROSALIND Me, uncle? DUKE FREDERICK You, cousin Within these ten days if that thou be'st found So near our public court as twenty miles, Thou diest for it. ROSALIND I do beseech your grace, Let me the knowledge of my fault bear with me: If with myself I hold intelligence Or have acquaintance with mine own desires, If that I do not dream or be not frantic,-- As I do trust I am not--then, dear uncle, Never so much as in a thought unborn Did I offend your highness. DUKE FREDERICK Thus do all traitors: If their purgation did consist in words, They are as innocent as grace itself: Let it suffice thee that I trust thee not. ROSALIND Yet your mistrust cannot make me a traitor: Tell me whereon the likelihood depends. DUKE FREDERICK Thou art thy father's daughter; there's enough. ROSALIND So was I when your highness took his dukedom; So was I when your highness banish'd him: Treason is not inherited, my lord; Or, if we did derive it from our friends, What's that to me? my father was no traitor: Then, good my liege, mistake me not so much To think my poverty is treacherous. CELIA Dear sovereign, hear me speak. DUKE FREDERICK Ay, Celia; we stay'd her for your sake, Else had she with her father ranged along. CELIA I did not then entreat to have her stay; It was your pleasure and your own remorse: I was too young that time to value her; But now I know her: if she be a traitor, Why so am I; we still have slept together, Rose at an instant, learn'd, play'd, eat together, And wheresoever we went, like Juno's swans, Still we went coupled and inseparable. DUKE FREDERICK She is too subtle for thee; and her smoothness, Her very silence and her patience Speak to the people, and they pity her. Thou art a fool: she robs thee of thy name; And thou wilt show more bright and seem more virtuous When she is gone. Then open not thy lips: Firm and irrevocable is my doom Which I have pass'd upon her; she is banish'd. CELIA Pronounce that sentence then on me, my liege: I cannot live out of her company. DUKE FREDERICK You are a fool. You, niece, provide yourself: If you outstay the time, upon mine honour, And in the greatness of my word, you die. [Exeunt DUKE FREDERICK and Lords] CELIA O my poor Rosalind, whither wilt thou go? Wilt thou change fathers? I will give thee mine. I charge thee, be not thou more grieved than I am. ROSALIND I have more cause. CELIA Thou hast not, cousin; Prithee be cheerful: know'st thou not, the duke Hath banish'd me, his daughter? ROSALIND That he hath not. CELIA No, hath not? Rosalind lacks then the love Which teacheth thee that thou and I am one: Shall we be sunder'd? shall we part, sweet girl? No: let my father seek another heir. Therefore devise with me how we may fly, Whither to go and what to bear with us; And do not seek to take your change upon you, To bear your griefs yourself and leave me out; For, by this heaven, now at our sorrows pale, Say what thou canst, I'll go along with thee. ROSALIND Why, whither shall we go? CELIA To seek my uncle in the forest of Arden. ROSALIND Alas, what danger will it be to us, Maids as we are, to travel forth so far! Beauty provoketh thieves sooner than gold. CELIA I'll put myself in poor and mean attire And with a kind of umber smirch my face; The like do you: so shall we pass along And never stir assailants. ROSALIND Were it not better, Because that I am more than common tall, That I did suit me all points like a man? A gallant curtle-axe upon my thigh, A boar-spear in my hand; and--in my heart Lie there what hidden woman's fear there will-- We'll have a swashing and a martial outside, As many other mannish cowards have That do outface it with their semblances. CELIA What shall I call thee when thou art a man? ROSALIND I'll have no worse a name than Jove's own page; And therefore look you call me Ganymede. But what will you be call'd? CELIA Something that hath a reference to my state No longer Celia, but Aliena. ROSALIND But, cousin, what if we assay'd to steal The clownish fool out of your father's court? Would he not be a comfort to our travel? CELIA He'll go along o'er the wide world with me; Leave me alone to woo him. Let's away, And get our jewels and our wealth together, Devise the fittest time and safest way To hide us from pursuit that will be made After my flight. Now go we in content To liberty and not to banishment. [Exeunt] AS YOU LIKE IT ACT II SCENE I The Forest of Arden. [Enter DUKE SENIOR, AMIENS, and two or three Lords, like foresters] DUKE SENIOR Now, my co-mates and brothers in exile, Hath not old custom made this life more sweet Than that of painted pomp? Are not these woods More free from peril than the envious court? Here feel we but the penalty of Adam, The seasons' difference, as the icy fang And churlish chiding of the winter's wind, Which, when it bites and blows upon my body, Even till I shrink with cold, I smile and say 'This is no flattery: these are counsellors That feelingly persuade me what I am.' Sweet are the uses of adversity, Which, like the toad, ugly and venomous, Wears yet a precious jewel in his head; And this our life exempt from public haunt Finds tongues in trees, books in the running brooks, Sermons in stones and good in every thing. I would not change it. AMIENS Happy is your grace, That can translate the stubbornness of fortune Into so quiet and so sweet a style. DUKE SENIOR Come, shall we go and kill us venison? And yet it irks me the poor dappled fools, Being native burghers of this desert city, Should in their own confines with forked heads Have their round haunches gored. First Lord Indeed, my lord, The melancholy Jaques grieves at that, And, in that kind, swears you do more usurp Than doth your brother that hath banish'd you. To-day my Lord of Amiens and myself Did steal behind him as he lay along Under an oak whose antique root peeps out Upon the brook that brawls along this wood: To the which place a poor sequester'd stag, That from the hunter's aim had ta'en a hurt, Did come to languish, and indeed, my lord, The wretched animal heaved forth such groans That their discharge did stretch his leathern coat Almost to bursting, and the big round tears Coursed one another down his innocent nose In piteous chase; and thus the hairy fool Much marked of the melancholy Jaques, Stood on the extremest verge of the swift brook, Augmenting it with tears. DUKE SENIOR But what said Jaques? Did he not moralize this spectacle? First Lord O, yes, into a thousand similes. First, for his weeping into the needless stream; 'Poor deer,' quoth he, 'thou makest a testament As worldlings do, giving thy sum of more To that which had too much:' then, being there alone, Left and abandon'd of his velvet friends, ''Tis right:' quoth he; 'thus misery doth part The flux of company:' anon a careless herd, Full of the pasture, jumps along by him And never stays to greet him; 'Ay' quoth Jaques, 'Sweep on, you fat and greasy citizens; 'Tis just the fashion: wherefore do you look Upon that poor and broken bankrupt there?' Thus most invectively he pierceth through The body of the country, city, court, Yea, and of this our life, swearing that we Are mere usurpers, tyrants and what's worse, To fright the animals and to kill them up In their assign'd and native dwelling-place. DUKE SENIOR And did you leave him in this contemplation? Second Lord We did, my lord, weeping and commenting Upon the sobbing deer. DUKE SENIOR Show me the place: I love to cope him in these sullen fits, For then he's full of matter. First Lord I'll bring you to him straight. [Exeunt] AS YOU LIKE IT ACT II SCENE II A room in the palace. [Enter DUKE FREDERICK, with Lords] DUKE FREDERICK Can it be possible that no man saw them? It cannot be: some villains of my court Are of consent and sufferance in this. First Lord I cannot hear of any that did see her. The ladies, her attendants of her chamber, Saw her abed, and in the morning early They found the bed untreasured of their mistress. Second Lord My lord, the roynish clown, at whom so oft Your grace was wont to laugh, is also missing. Hisperia, the princess' gentlewoman, Confesses that she secretly o'erheard Your daughter and her cousin much commend The parts and graces of the wrestler That did but lately foil the sinewy Charles; And she believes, wherever they are gone, That youth is surely in their company. DUKE FREDERICK Send to his brother; fetch that gallant hither; If he be absent, bring his brother to me; I'll make him find him: do this suddenly, And let not search and inquisition quail To bring again these foolish runaways. [Exeunt] AS YOU LIKE IT ACT II SCENE III Before OLIVER'S house. [Enter ORLANDO and ADAM, meeting] ORLANDO Who's there? ADAM What, my young master? O, my gentle master! O my sweet master! O you memory Of old Sir Rowland! why, what make you here? Why are you virtuous? why do people love you? And wherefore are you gentle, strong and valiant? Why would you be so fond to overcome The bonny priser of the humorous duke? Your praise is come too swiftly home before you. Know you not, master, to some kind of men Their graces serve them but as enemies? No more do yours: your virtues, gentle master, Are sanctified and holy traitors to you. O, what a world is this, when what is comely Envenoms him that bears it! ORLANDO Why, what's the matter? ADAM O unhappy youth! Come not within these doors; within this roof The enemy of all your graces lives: Your brother--no, no brother; yet the son-- Yet not the son, I will not call him son Of him I was about to call his father-- Hath heard your praises, and this night he means To burn the lodging where you use to lie And you within it: if he fail of that, He will have other means to cut you off. I overheard him and his practises. This is no place; this house is but a butchery: Abhor it, fear it, do not enter it. ORLANDO Why, whither, Adam, wouldst thou have me go? ADAM No matter whither, so you come not here. ORLANDO What, wouldst thou have me go and beg my food? Or with a base and boisterous sword enforce A thievish living on the common road? This I must do, or know not what to do: Yet this I will not do, do how I can; I rather will subject me to the malice Of a diverted blood and bloody brother. ADAM But do not so. I have five hundred crowns, The thrifty hire I saved under your father, Which I did store to be my foster-nurse When service should in my old limbs lie lame And unregarded age in corners thrown: Take that, and He that doth the ravens feed, Yea, providently caters for the sparrow, Be comfort to my age! Here is the gold; And all this I give you. Let me be your servant: Though I look old, yet I am strong and lusty; For in my youth I never did apply Hot and rebellious liquors in my blood, Nor did not with unbashful forehead woo The means of weakness and debility; Therefore my age is as a lusty winter, Frosty, but kindly: let me go with you; I'll do the service of a younger man In all your business and necessities. ORLANDO O good old man, how well in thee appears The constant service of the antique world, When service sweat for duty, not for meed! Thou art not for the fashion of these times, Where none will sweat but for promotion, And having that, do choke their service up Even with the having: it is not so with thee. But, poor old man, thou prunest a rotten tree, That cannot so much as a blossom yield In lieu of all thy pains and husbandry But come thy ways; well go along together, And ere we have thy youthful wages spent, We'll light upon some settled low content. ADAM Master, go on, and I will follow thee, To the last gasp, with truth and loyalty. From seventeen years till now almost fourscore Here lived I, but now live here no more. At seventeen years many their fortunes seek; But at fourscore it is too late a week: Yet fortune cannot recompense me better Than to die well and not my master's debtor. [Exeunt] AS YOU LIKE IT ACT II SCENE IV The Forest of Arden. [Enter ROSALIND for Ganymede, CELIA for Aliena, and TOUCHSTONE] ROSALIND O Jupiter, how weary are my spirits! TOUCHSTONE I care not for my spirits, if my legs were not weary. ROSALIND I could find in my heart to disgrace my man's apparel and to cry like a woman; but I must comfort the weaker vessel, as doublet and hose ought to show itself courageous to petticoat: therefore courage, good Aliena! CELIA I pray you, bear with me; I cannot go no further. TOUCHSTONE For my part, I had rather bear with you than bear you; yet I should bear no cross if I did bear you, for I think you have no money in your purse. ROSALIND Well, this is the forest of Arden. TOUCHSTONE Ay, now am I in Arden; the more fool I; when I was at home, I was in a better place: but travellers must be content. ROSALIND Ay, be so, good Touchstone. [Enter CORIN and SILVIUS] Look you, who comes here; a young man and an old in solemn talk. CORIN That is the way to make her scorn you still. SILVIUS O Corin, that thou knew'st how I do love her! CORIN I partly guess; for I have loved ere now. SILVIUS No, Corin, being old, thou canst not guess, Though in thy youth thou wast as true a lover As ever sigh'd upon a midnight pillow: But if thy love were ever like to mine-- As sure I think did never man love so-- How many actions most ridiculous Hast thou been drawn to by thy fantasy? CORIN Into a thousand that I have forgotten. SILVIUS O, thou didst then ne'er love so heartily! If thou remember'st not the slightest folly That ever love did make thee run into, Thou hast not loved: Or if thou hast not sat as I do now, Wearying thy hearer in thy mistress' praise, Thou hast not loved: Or if thou hast not broke from company Abruptly, as my passion now makes me, Thou hast not loved. O Phebe, Phebe, Phebe! [Exit] ROSALIND Alas, poor shepherd! searching of thy wound, I have by hard adventure found mine own. TOUCHSTONE And I mine. I remember, when I was in love I broke my sword upon a stone and bid him take that for coming a-night to Jane Smile; and I remember the kissing of her batlet and the cow's dugs that her pretty chopt hands had milked; and I remember the wooing of a peascod instead of her, from whom I took two cods and, giving her them again, said with weeping tears 'Wear these for my sake.' We that are true lovers run into strange capers; but as all is mortal in nature, so is all nature in love mortal in folly. ROSALIND Thou speakest wiser than thou art ware of. TOUCHSTONE Nay, I shall ne'er be ware of mine own wit till I break my shins against it. ROSALIND Jove, Jove! this shepherd's passion Is much upon my fashion. TOUCHSTONE And mine; but it grows something stale with me. CELIA I pray you, one of you question yond man If he for gold will give us any food: I faint almost to death. TOUCHSTONE Holla, you clown! ROSALIND Peace, fool: he's not thy kinsman. CORIN Who calls? TOUCHSTONE Your betters, sir. CORIN Else are they very wretched. ROSALIND Peace, I say. Good even to you, friend. CORIN And to you, gentle sir, and to you all. ROSALIND I prithee, shepherd, if that love or gold Can in this desert place buy entertainment, Bring us where we may rest ourselves and feed: Here's a young maid with travel much oppress'd And faints for succor. CORIN Fair sir, I pity her And wish, for her sake more than for mine own, My fortunes were more able to relieve her; But I am shepherd to another man And do not shear the fleeces that I graze: My master is of churlish disposition And little recks to find the way to heaven By doing deeds of hospitality: Besides, his cote, his flocks and bounds of feed Are now on sale, and at our sheepcote now, By reason of his absence, there is nothing That you will feed on; but what is, come see. And in my voice most welcome shall you be. ROSALIND What is he that shall buy his flock and pasture? CORIN That young swain that you saw here but erewhile, That little cares for buying any thing. ROSALIND I pray thee, if it stand with honesty, Buy thou the cottage, pasture and the flock, And thou shalt have to pay for it of us. CELIA And we will mend thy wages. I like this place. And willingly could waste my time in it. CORIN Assuredly the thing is to be sold: Go with me: if you like upon report The soil, the profit and this kind of life, I will your very faithful feeder be And buy it with your gold right suddenly. [Exeunt] AS YOU LIKE IT ACT II SCENE V The Forest. [Enter AMIENS, JAQUES, and others] SONG. AMIENS Under the greenwood tree Who loves to lie with me, And turn his merry note Unto the sweet bird's throat, Come hither, come hither, come hither: Here shall he see No enemy But winter and rough weather. JAQUES More, more, I prithee, more. AMIENS It will make you melancholy, Monsieur Jaques. JAQUES I thank it. More, I prithee, more. I can suck melancholy out of a song, as a weasel sucks eggs. More, I prithee, more. AMIENS My voice is ragged: I know I cannot please you. JAQUES I do not desire you to please me; I do desire you to sing. Come, more; another stanzo: call you 'em stanzos? AMIENS What you will, Monsieur Jaques. JAQUES Nay, I care not for their names; they owe me nothing. Will you sing? AMIENS More at your request than to please myself. JAQUES Well then, if ever I thank any man, I'll thank you; but that they call compliment is like the encounter of two dog-apes, and when a man thanks me heartily, methinks I have given him a penny and he renders me the beggarly thanks. Come, sing; and you that will not, hold your tongues. AMIENS Well, I'll end the song. Sirs, cover the while; the duke will drink under this tree. He hath been all this day to look you. JAQUES And I have been all this day to avoid him. He is too disputable for my company: I think of as many matters as he, but I give heaven thanks and make no boast of them. Come, warble, come. SONG. Who doth ambition shun [All together here] And loves to live i' the sun, Seeking the food he eats And pleased with what he gets, Come hither, come hither, come hither: Here shall he see No enemy But winter and rough weather. JAQUES I'll give you a verse to this note that I made yesterday in despite of my invention. AMIENS And I'll sing it. JAQUES Thus it goes:-- If it do come to pass That any man turn ass, Leaving his wealth and ease, A stubborn will to please, Ducdame, ducdame, ducdame: Here shall he see Gross fools as he, An if he will come to me. AMIENS What's that 'ducdame'? JAQUES 'Tis a Greek invocation, to call fools into a circle. I'll go sleep, if I can; if I cannot, I'll rail against all the first-born of Egypt. AMIENS And I'll go seek the duke: his banquet is prepared. [Exeunt severally] AS YOU LIKE IT ACT II SCENE VI The forest. [Enter ORLANDO and ADAM] ADAM Dear master, I can go no further. O, I die for food! Here lie I down, and measure out my grave. Farewell, kind master. ORLANDO Why, how now, Adam! no greater heart in thee? Live a little; comfort a little; cheer thyself a little. If this uncouth forest yield any thing savage, I will either be food for it or bring it for food to thee. Thy conceit is nearer death than thy powers. For my sake be comfortable; hold death awhile at the arm's end: I will here be with thee presently; and if I bring thee not something to eat, I will give thee leave to die: but if thou diest before I come, thou art a mocker of my labour. Well said! thou lookest cheerly, and I'll be with thee quickly. Yet thou liest in the bleak air: come, I will bear thee to some shelter; and thou shalt not die for lack of a dinner, if there live any thing in this desert. Cheerly, good Adam! [Exeunt] AS YOU LIKE IT ACT II SCENE VII The forest. [A table set out. Enter DUKE SENIOR, AMIENS, and Lords like outlaws] DUKE SENIOR I think he be transform'd into a beast; For I can no where find him like a man. First Lord My lord, he is but even now gone hence: Here was he merry, hearing of a song. DUKE SENIOR If he, compact of jars, grow musical, We shall have shortly discord in the spheres. Go, seek him: tell him I would speak with him. [Enter JAQUES] First Lord He saves my labour by his own approach. DUKE SENIOR Why, how now, monsieur! what a life is this, That your poor friends must woo your company? What, you look merrily! JAQUES A fool, a fool! I met a fool i' the forest, A motley fool; a miserable world! As I do live by food, I met a fool Who laid him down and bask'd him in the sun, And rail'd on Lady Fortune in good terms, In good set terms and yet a motley fool. 'Good morrow, fool,' quoth I. 'No, sir,' quoth he, 'Call me not fool till heaven hath sent me fortune:' And then he drew a dial from his poke, And, looking on it with lack-lustre eye, Says very wisely, 'It is ten o'clock: Thus we may see,' quoth he, 'how the world wags: 'Tis but an hour ago since it was nine, And after one hour more 'twill be eleven; And so, from hour to hour, we ripe and ripe, And then, from hour to hour, we rot and rot; And thereby hangs a tale.' When I did hear The motley fool thus moral on the time, My lungs began to crow like chanticleer, That fools should be so deep-contemplative, And I did laugh sans intermission An hour by his dial. O noble fool! A worthy fool! Motley's the only wear. DUKE SENIOR What fool is this? JAQUES O worthy fool! One that hath been a courtier, And says, if ladies be but young and fair, They have the gift to know it: and in his brain, Which is as dry as the remainder biscuit After a voyage, he hath strange places cramm'd With observation, the which he vents In mangled forms. O that I were a fool! I am ambitious for a motley coat. DUKE SENIOR Thou shalt have one. JAQUES It is my only suit; Provided that you weed your better judgments Of all opinion that grows rank in them That I am wise. I must have liberty Withal, as large a charter as the wind, To blow on whom I please; for so fools have; And they that are most galled with my folly, They most must laugh. And why, sir, must they so? The 'why' is plain as way to parish church: He that a fool doth very wisely hit Doth very foolishly, although he smart, Not to seem senseless of the bob: if not, The wise man's folly is anatomized Even by the squandering glances of the fool. Invest me in my motley; give me leave To speak my mind, and I will through and through Cleanse the foul body of the infected world, If they will patiently receive my medicine. DUKE SENIOR Fie on thee! I can tell what thou wouldst do. JAQUES What, for a counter, would I do but good? DUKE SENIOR Most mischievous foul sin, in chiding sin: For thou thyself hast been a libertine, As sensual as the brutish sting itself; And all the embossed sores and headed evils, That thou with licence of free foot hast caught, Wouldst thou disgorge into the general world. JAQUES Why, who cries out on pride, That can therein tax any private party? Doth it not flow as hugely as the sea, Till that the weary very means do ebb? What woman in the city do I name, When that I say the city-woman bears The cost of princes on unworthy shoulders? Who can come in and say that I mean her, When such a one as she such is her neighbour? Or what is he of basest function That says his bravery is not of my cost, Thinking that I mean him, but therein suits His folly to the mettle of my speech? There then; how then? what then? Let me see wherein My tongue hath wrong'd him: if it do him right, Then he hath wrong'd himself; if he be free, Why then my taxing like a wild-goose flies, Unclaim'd of any man. But who comes here? [Enter ORLANDO, with his sword drawn] ORLANDO Forbear, and eat no more. JAQUES Why, I have eat none yet. ORLANDO Nor shalt not, till necessity be served. JAQUES Of what kind should this cock come of? DUKE SENIOR Art thou thus bolden'd, man, by thy distress, Or else a rude despiser of good manners, That in civility thou seem'st so empty? ORLANDO You touch'd my vein at first: the thorny point Of bare distress hath ta'en from me the show Of smooth civility: yet am I inland bred And know some nurture. But forbear, I say: He dies that touches any of this fruit Till I and my affairs are answered. JAQUES An you will not be answered with reason, I must die. DUKE SENIOR What would you have? Your gentleness shall force More than your force move us to gentleness. ORLANDO I almost die for food; and let me have it. DUKE SENIOR Sit down and feed, and welcome to our table. ORLANDO Speak you so gently? Pardon me, I pray you: I thought that all things had been savage here; And therefore put I on the countenance Of stern commandment. But whate'er you are That in this desert inaccessible, Under the shade of melancholy boughs, Lose and neglect the creeping hours of time If ever you have look'd on better days, If ever been where bells have knoll'd to church, If ever sat at any good man's feast, If ever from your eyelids wiped a tear And know what 'tis to pity and be pitied, Let gentleness my strong enforcement be: In the which hope I blush, and hide my sword. DUKE SENIOR True is it that we have seen better days, And have with holy bell been knoll'd to church And sat at good men's feasts and wiped our eyes Of drops that sacred pity hath engender'd: And therefore sit you down in gentleness And take upon command what help we have That to your wanting may be minister'd. ORLANDO Then but forbear your food a little while, Whiles, like a doe, I go to find my fawn And give it food. There is an old poor man, Who after me hath many a weary step Limp'd in pure love: till he be first sufficed, Oppress'd with two weak evils, age and hunger, I will not touch a bit. DUKE SENIOR Go find him out, And we will nothing waste till you return. ORLANDO I thank ye; and be blest for your good comfort! [Exit] DUKE SENIOR Thou seest we are not all alone unhappy: This wide and universal theatre Presents more woeful pageants than the scene Wherein we play in. JAQUES All the world's a stage, And all the men and women merely players: They have their exits and their entrances; And one man in his time plays many parts, His acts being seven ages. At first the infant, Mewling and puking in the nurse's arms. And then the whining school-boy, with his satchel And shining morning face, creeping like snail Unwillingly to school. And then the lover, Sighing like furnace, with a woeful ballad Made to his mistress' eyebrow. Then a soldier, Full of strange oaths and bearded like the pard, Jealous in honour, sudden and quick in quarrel, Seeking the bubble reputation Even in the cannon's mouth. And then the justice, In fair round belly with good capon lined, With eyes severe and beard of formal cut, Full of wise saws and modern instances; And so he plays his part. The sixth age shifts Into the lean and slipper'd pantaloon, With spectacles on nose and pouch on side, His youthful hose, well saved, a world too wide For his shrunk shank; and his big manly voice, Turning again toward childish treble, pipes And whistles in his sound. Last scene of all, That ends this strange eventful history, Is second childishness and mere oblivion, Sans teeth, sans eyes, sans taste, sans everything. [Re-enter ORLANDO, with ADAM] DUKE SENIOR Welcome. Set down your venerable burthen, And let him feed. ORLANDO I thank you most for him. ADAM So had you need: I scarce can speak to thank you for myself. DUKE SENIOR Welcome; fall to: I will not trouble you As yet, to question you about your fortunes. Give us some music; and, good cousin, sing. SONG. AMIENS Blow, blow, thou winter wind. Thou art not so unkind As man's ingratitude; Thy tooth is not so keen, Because thou art not seen, Although thy breath be rude. Heigh-ho! sing, heigh-ho! unto the green holly: Most friendship is feigning, most loving mere folly: Then, heigh-ho, the holly! This life is most jolly. Freeze, freeze, thou bitter sky, That dost not bite so nigh As benefits forgot: Though thou the waters warp, Thy sting is not so sharp As friend remember'd not. Heigh-ho! sing, &c. DUKE SENIOR If that you were the good Sir Rowland's son, As you have whisper'd faithfully you were, And as mine eye doth his effigies witness Most truly limn'd and living in your face, Be truly welcome hither: I am the duke That loved your father: the residue of your fortune, Go to my cave and tell me. Good old man, Thou art right welcome as thy master is. Support him by the arm. Give me your hand, And let me all your fortunes understand. [Exeunt] AS YOU LIKE IT ACT III SCENE I A room in the palace. [Enter DUKE FREDERICK, Lords, and OLIVER] DUKE FREDERICK Not see him since? Sir, sir, that cannot be: But were I not the better part made mercy, I should not seek an absent argument Of my revenge, thou present. But look to it: Find out thy brother, wheresoe'er he is; Seek him with candle; bring him dead or living Within this twelvemonth, or turn thou no more To seek a living in our territory. Thy lands and all things that thou dost call thine Worth seizure do we seize into our hands, Till thou canst quit thee by thy brothers mouth Of what we think against thee. OLIVER O that your highness knew my heart in this! I never loved my brother in my life. DUKE FREDERICK More villain thou. Well, push him out of doors; And let my officers of such a nature Make an extent upon his house and lands: Do this expediently and turn him going. [Exeunt] AS YOU LIKE IT ACT III SCENE II The forest. [Enter ORLANDO, with a paper] ORLANDO Hang there, my verse, in witness of my love: And thou, thrice-crowned queen of night, survey With thy chaste eye, from thy pale sphere above, Thy huntress' name that my full life doth sway. O Rosalind! these trees shall be my books And in their barks my thoughts I'll character; That every eye which in this forest looks Shall see thy virtue witness'd every where. Run, run, Orlando; carve on every tree The fair, the chaste and unexpressive she. [Exit] [Enter CORIN and TOUCHSTONE] CORIN And how like you this shepherd's life, Master Touchstone? TOUCHSTONE Truly, shepherd, in respect of itself, it is a good life, but in respect that it is a shepherd's life, it is naught. In respect that it is solitary, I like it very well; but in respect that it is private, it is a very vile life. Now, in respect it is in the fields, it pleaseth me well; but in respect it is not in the court, it is tedious. As is it a spare life, look you, it fits my humour well; but as there is no more plenty in it, it goes much against my stomach. Hast any philosophy in thee, shepherd? CORIN No more but that I know the more one sickens the worse at ease he is; and that he that wants money, means and content is without three good friends; that the property of rain is to wet and fire to burn; that good pasture makes fat sheep, and that a great cause of the night is lack of the sun; that he that hath learned no wit by nature nor art may complain of good breeding or comes of a very dull kindred. TOUCHSTONE Such a one is a natural philosopher. Wast ever in court, shepherd? CORIN No, truly. TOUCHSTONE Then thou art damned. CORIN Nay, I hope. TOUCHSTONE Truly, thou art damned like an ill-roasted egg, all on one side. CORIN For not being at court? Your reason. TOUCHSTONE Why, if thou never wast at court, thou never sawest good manners; if thou never sawest good manners, then thy manners must be wicked; and wickedness is sin, and sin is damnation. Thou art in a parlous state, shepherd. CORIN Not a whit, Touchstone: those that are good manners at the court are as ridiculous in the country as the behavior of the country is most mockable at the court. You told me you salute not at the court, but you kiss your hands: that courtesy would be uncleanly, if courtiers were shepherds. TOUCHSTONE Instance, briefly; come, instance. CORIN Why, we are still handling our ewes, and their fells, you know, are greasy. TOUCHSTONE Why, do not your courtier's hands sweat? and is not the grease of a mutton as wholesome as the sweat of a man? Shallow, shallow. A better instance, I say; come. CORIN Besides, our hands are hard. TOUCHSTONE Your lips will feel them the sooner. Shallow again. A more sounder instance, come. CORIN And they are often tarred over with the surgery of our sheep: and would you have us kiss tar? The courtier's hands are perfumed with civet. TOUCHSTONE Most shallow man! thou worms-meat, in respect of a good piece of flesh indeed! Learn of the wise, and perpend: civet is of a baser birth than tar, the very uncleanly flux of a cat. Mend the instance, shepherd. CORIN You have too courtly a wit for me: I'll rest. TOUCHSTONE Wilt thou rest damned? God help thee, shallow man! God make incision in thee! thou art raw. CORIN Sir, I am a true labourer: I earn that I eat, get that I wear, owe no man hate, envy no man's happiness, glad of other men's good, content with my harm, and the greatest of my pride is to see my ewes graze and my lambs suck. TOUCHSTONE That is another simple sin in you, to bring the ewes and the rams together and to offer to get your living by the copulation of cattle; to be bawd to a bell-wether, and to betray a she-lamb of a twelvemonth to a crooked-pated, old, cuckoldly ram, out of all reasonable match. If thou beest not damned for this, the devil himself will have no shepherds; I cannot see else how thou shouldst 'scape. CORIN Here comes young Master Ganymede, my new mistress's brother. [Enter ROSALIND, with a paper, reading] ROSALIND From the east to western Ind, No jewel is like Rosalind. Her worth, being mounted on the wind, Through all the world bears Rosalind. All the pictures fairest lined Are but black to Rosalind. Let no fair be kept in mind But the fair of Rosalind. TOUCHSTONE I'll rhyme you so eight years together, dinners and suppers and sleeping-hours excepted: it is the right butter-women's rank to market. ROSALIND Out, fool! TOUCHSTONE For a taste: If a hart do lack a hind, Let him seek out Rosalind. If the cat will after kind, So be sure will Rosalind. Winter garments must be lined, So must slender Rosalind. They that reap must sheaf and bind; Then to cart with Rosalind. Sweetest nut hath sourest rind, Such a nut is Rosalind. He that sweetest rose will find Must find love's prick and Rosalind. This is the very false gallop of verses: why do you infect yourself with them? ROSALIND Peace, you dull fool! I found them on a tree. TOUCHSTONE Truly, the tree yields bad fruit. ROSALIND I'll graff it with you, and then I shall graff it with a medlar: then it will be the earliest fruit i' the country; for you'll be rotten ere you be half ripe, and that's the right virtue of the medlar. TOUCHSTONE You have said; but whether wisely or no, let the forest judge. [Enter CELIA, with a writing] ROSALIND Peace! Here comes my sister, reading: stand aside. CELIA [Reads] Why should this a desert be? For it is unpeopled? No: Tongues I'll hang on every tree, That shall civil sayings show: Some, how brief the life of man Runs his erring pilgrimage, That the stretching of a span Buckles in his sum of age; Some, of violated vows 'Twixt the souls of friend and friend: But upon the fairest boughs, Or at every sentence end, Will I Rosalinda write, Teaching all that read to know The quintessence of every sprite Heaven would in little show. Therefore Heaven Nature charged That one body should be fill'd With all graces wide-enlarged: Nature presently distill'd Helen's cheek, but not her heart, Cleopatra's majesty, Atalanta's better part, Sad Lucretia's modesty. Thus Rosalind of many parts By heavenly synod was devised, Of many faces, eyes and hearts, To have the touches dearest prized. Heaven would that she these gifts should have, And I to live and die her slave. ROSALIND O most gentle pulpiter! what tedious homily of love have you wearied your parishioners withal, and never cried 'Have patience, good people!' CELIA How now! back, friends! Shepherd, go off a little. Go with him, sirrah. TOUCHSTONE Come, shepherd, let us make an honourable retreat; though not with bag and baggage, yet with scrip and scrippage. [Exeunt CORIN and TOUCHSTONE] CELIA Didst thou hear these verses? ROSALIND O, yes, I heard them all, and more too; for some of them had in them more feet than the verses would bear. CELIA That's no matter: the feet might bear the verses. ROSALIND Ay, but the feet were lame and could not bear themselves without the verse and therefore stood lamely in the verse. CELIA But didst thou hear without wondering how thy name should be hanged and carved upon these trees? ROSALIND I was seven of the nine days out of the wonder before you came; for look here what I found on a palm-tree. I was never so be-rhymed since Pythagoras' time, that I was an Irish rat, which I can hardly remember. CELIA Trow you who hath done this? ROSALIND Is it a man? CELIA And a chain, that you once wore, about his neck. Change you colour? ROSALIND I prithee, who? CELIA O Lord, Lord! it is a hard matter for friends to meet; but mountains may be removed with earthquakes and so encounter. ROSALIND Nay, but who is it? CELIA Is it possible? ROSALIND Nay, I prithee now with most petitionary vehemence, tell me who it is. CELIA O wonderful, wonderful, and most wonderful wonderful! and yet again wonderful, and after that, out of all hooping! ROSALIND Good my complexion! dost thou think, though I am caparisoned like a man, I have a doublet and hose in my disposition? One inch of delay more is a South-sea of discovery; I prithee, tell me who is it quickly, and speak apace. I would thou couldst stammer, that thou mightst pour this concealed man out of thy mouth, as wine comes out of a narrow- mouthed bottle, either too much at once, or none at all. I prithee, take the cork out of thy mouth that may drink thy tidings. CELIA So you may put a man in your belly. ROSALIND Is he of God's making? What manner of man? Is his head worth a hat, or his chin worth a beard? CELIA Nay, he hath but a little beard. ROSALIND Why, God will send more, if the man will be thankful: let me stay the growth of his beard, if thou delay me not the knowledge of his chin. CELIA It is young Orlando, that tripped up the wrestler's heels and your heart both in an instant. ROSALIND Nay, but the devil take mocking: speak, sad brow and true maid. CELIA I' faith, coz, 'tis he. ROSALIND Orlando? CELIA Orlando. ROSALIND Alas the day! what shall I do with my doublet and hose? What did he when thou sawest him? What said he? How looked he? Wherein went he? What makes him here? Did he ask for me? Where remains he? How parted he with thee? and when shalt thou see him again? Answer me in one word. CELIA You must borrow me Gargantua's mouth first: 'tis a word too great for any mouth of this age's size. To say ay and no to these particulars is more than to answer in a catechism. ROSALIND But doth he know that I am in this forest and in man's apparel? Looks he as freshly as he did the day he wrestled? CELIA It is as easy to count atomies as to resolve the propositions of a lover; but take a taste of my finding him, and relish it with good observance. I found him under a tree, like a dropped acorn. ROSALIND It may well be called Jove's tree, when it drops forth such fruit. CELIA Give me audience, good madam. ROSALIND Proceed. CELIA There lay he, stretched along, like a wounded knight. ROSALIND Though it be pity to see such a sight, it well becomes the ground. CELIA Cry 'holla' to thy tongue, I prithee; it curvets unseasonably. He was furnished like a hunter. ROSALIND O, ominous! he comes to kill my heart. CELIA I would sing my song without a burden: thou bringest me out of tune. ROSALIND Do you not know I am a woman? when I think, I must speak. Sweet, say on. CELIA You bring me out. Soft! comes he not here? [Enter ORLANDO and JAQUES] ROSALIND 'Tis he: slink by, and note him. JAQUES I thank you for your company; but, good faith, I had as lief have been myself alone. ORLANDO And so had I; but yet, for fashion sake, I thank you too for your society. JAQUES God be wi' you: let's meet as little as we can. ORLANDO I do desire we may be better strangers. JAQUES I pray you, mar no more trees with writing love-songs in their barks. ORLANDO I pray you, mar no more of my verses with reading them ill-favouredly. JAQUES Rosalind is your love's name? ORLANDO Yes, just. JAQUES I do not like her name. ORLANDO There was no thought of pleasing you when she was christened. JAQUES What stature is she of? ORLANDO Just as high as my heart. JAQUES You are full of pretty answers. Have you not been acquainted with goldsmiths' wives, and conned them out of rings? ORLANDO Not so; but I answer you right painted cloth, from whence you have studied your questions. JAQUES You have a nimble wit: I think 'twas made of Atalanta's heels. Will you sit down with me? and we two will rail against our mistress the world and all our misery. ORLANDO I will chide no breather in the world but myself, against whom I know most faults. JAQUES The worst fault you have is to be in love. ORLANDO 'Tis a fault I will not change for your best virtue. I am weary of you. JAQUES By my troth, I was seeking for a fool when I found you. ORLANDO He is drowned in the brook: look but in, and you shall see him. JAQUES There I shall see mine own figure. ORLANDO Which I take to be either a fool or a cipher. JAQUES I'll tarry no longer with you: farewell, good Signior Love. ORLANDO I am glad of your departure: adieu, good Monsieur Melancholy. [Exit JAQUES] ROSALIND [Aside to CELIA] I will speak to him, like a saucy lackey and under that habit play the knave with him. Do you hear, forester? ORLANDO Very well: what would you? ROSALIND I pray you, what is't o'clock? ORLANDO You should ask me what time o' day: there's no clock in the forest. ROSALIND Then there is no true lover in the forest; else sighing every minute and groaning every hour would detect the lazy foot of Time as well as a clock. ORLANDO And why not the swift foot of Time? had not that been as proper? ROSALIND By no means, sir: Time travels in divers paces with divers persons. I'll tell you who Time ambles withal, who Time trots withal, who Time gallops withal and who he stands still withal. ORLANDO I prithee, who doth he trot withal? ROSALIND Marry, he trots hard with a young maid between the contract of her marriage and the day it is solemnized: if the interim be but a se'nnight, Time's pace is so hard that it seems the length of seven year. ORLANDO Who ambles Time withal? ROSALIND With a priest that lacks Latin and a rich man that hath not the gout, for the one sleeps easily because he cannot study, and the other lives merrily because he feels no pain, the one lacking the burden of lean and wasteful learning, the other knowing no burden of heavy tedious penury; these Time ambles withal. ORLANDO Who doth he gallop withal? ROSALIND With a thief to the gallows, for though he go as softly as foot can fall, he thinks himself too soon there. ORLANDO Who stays it still withal? ROSALIND With lawyers in the vacation, for they sleep between term and term and then they perceive not how Time moves. ORLANDO Where dwell you, pretty youth? ROSALIND With this shepherdess, my sister; here in the skirts of the forest, like fringe upon a petticoat. ORLANDO Are you native of this place? ROSALIND As the cony that you see dwell where she is kindled. ORLANDO Your accent is something finer than you could purchase in so removed a dwelling. ROSALIND I have been told so of many: but indeed an old religious uncle of mine taught me to speak, who was in his youth an inland man; one that knew courtship too well, for there he fell in love. I have heard him read many lectures against it, and I thank God I am not a woman, to be touched with so many giddy offences as he hath generally taxed their whole sex withal. ORLANDO Can you remember any of the principal evils that he laid to the charge of women? ROSALIND There were none principal; they were all like one another as half-pence are, every one fault seeming monstrous till his fellow fault came to match it. ORLANDO I prithee, recount some of them. ROSALIND No, I will not cast away my physic but on those that are sick. There is a man haunts the forest, that abuses our young plants with carving 'Rosalind' on their barks; hangs odes upon hawthorns and elegies on brambles, all, forsooth, deifying the name of Rosalind: if I could meet that fancy-monger I would give him some good counsel, for he seems to have the quotidian of love upon him. ORLANDO I am he that is so love-shaked: I pray you tell me your remedy. ROSALIND There is none of my uncle's marks upon you: he taught me how to know a man in love; in which cage of rushes I am sure you are not prisoner. ORLANDO What were his marks? ROSALIND A lean cheek, which you have not, a blue eye and sunken, which you have not, an unquestionable spirit, which you have not, a beard neglected, which you have not; but I pardon you for that, for simply your having in beard is a younger brother's revenue: then your hose should be ungartered, your bonnet unbanded, your sleeve unbuttoned, your shoe untied and every thing about you demonstrating a careless desolation; but you are no such man; you are rather point-device in your accoutrements as loving yourself than seeming the lover of any other. ORLANDO Fair youth, I would I could make thee believe I love. ROSALIND Me believe it! you may as soon make her that you love believe it; which, I warrant, she is apter to do than to confess she does: that is one of the points in the which women still give the lie to their consciences. But, in good sooth, are you he that hangs the verses on the trees, wherein Rosalind is so admired? ORLANDO I swear to thee, youth, by the white hand of Rosalind, I am that he, that unfortunate he. ROSALIND But are you so much in love as your rhymes speak? ORLANDO Neither rhyme nor reason can express how much. ROSALIND Love is merely a madness, and, I tell you, deserves as well a dark house and a whip as madmen do: and the reason why they are not so punished and cured is, that the lunacy is so ordinary that the whippers are in love too. Yet I profess curing it by counsel. ORLANDO Did you ever cure any so? ROSALIND Yes, one, and in this manner. He was to imagine me his love, his mistress; and I set him every day to woo me: at which time would I, being but a moonish youth, grieve, be effeminate, changeable, longing and liking, proud, fantastical, apish, shallow, inconstant, full of tears, full of smiles, for every passion something and for no passion truly any thing, as boys and women are for the most part cattle of this colour; would now like him, now loathe him; then entertain him, then forswear him; now weep for him, then spit at him; that I drave my suitor from his mad humour of love to a living humour of madness; which was, to forswear the full stream of the world, and to live in a nook merely monastic. And thus I cured him; and this way will I take upon me to wash your liver as clean as a sound sheep's heart, that there shall not be one spot of love in't. ORLANDO I would not be cured, youth. ROSALIND I would cure you, if you would but call me Rosalind and come every day to my cote and woo me. ORLANDO Now, by the faith of my love, I will: tell me where it is. ROSALIND Go with me to it and I'll show it you and by the way you shall tell me where in the forest you live. Will you go? ORLANDO With all my heart, good youth. ROSALIND Nay you must call me Rosalind. Come, sister, will you go? [Exeunt] AS YOU LIKE IT ACT III SCENE III The forest. [Enter TOUCHSTONE and AUDREY; JAQUES behind] TOUCHSTONE Come apace, good Audrey: I will fetch up your goats, Audrey. And how, Audrey? am I the man yet? doth my simple feature content you? AUDREY Your features! Lord warrant us! what features! TOUCHSTONE I am here with thee and thy goats, as the most capricious poet, honest Ovid, was among the Goths. JAQUES [Aside] O knowledge ill-inhabited, worse than Jove in a thatched house! TOUCHSTONE When a man's verses cannot be understood, nor a man's good wit seconded with the forward child Understanding, it strikes a man more dead than a great reckoning in a little room. Truly, I would the gods had made thee poetical. AUDREY I do not know what 'poetical' is: is it honest in deed and word? is it a true thing? TOUCHSTONE No, truly; for the truest poetry is the most feigning; and lovers are given to poetry, and what they swear in poetry may be said as lovers they do feign. AUDREY Do you wish then that the gods had made me poetical? TOUCHSTONE I do, truly; for thou swearest to me thou art honest: now, if thou wert a poet, I might have some hope thou didst feign. AUDREY Would you not have me honest? TOUCHSTONE No, truly, unless thou wert hard-favoured; for honesty coupled to beauty is to have honey a sauce to sugar. JAQUES [Aside] A material fool! AUDREY Well, I am not fair; and therefore I pray the gods make me honest. TOUCHSTONE Truly, and to cast away honesty upon a foul slut were to put good meat into an unclean dish. AUDREY I am not a slut, though I thank the gods I am foul. TOUCHSTONE Well, praised be the gods for thy foulness! sluttishness may come hereafter. But be it as it may be, I will marry thee, and to that end I have been with Sir Oliver Martext, the vicar of the next village, who hath promised to meet me in this place of the forest and to couple us. JAQUES [Aside] I would fain see this meeting. AUDREY Well, the gods give us joy! TOUCHSTONE Amen. A man may, if he were of a fearful heart, stagger in this attempt; for here we have no temple but the wood, no assembly but horn-beasts. But what though? Courage! As horns are odious, they are necessary. It is said, 'many a man knows no end of his goods:' right; many a man has good horns, and knows no end of them. Well, that is the dowry of his wife; 'tis none of his own getting. Horns? Even so. Poor men alone? No, no; the noblest deer hath them as huge as the rascal. Is the single man therefore blessed? No: as a walled town is more worthier than a village, so is the forehead of a married man more honourable than the bare brow of a bachelor; and by how much defence is better than no skill, by so much is a horn more precious than to want. Here comes Sir Oliver. [Enter SIR OLIVER MARTEXT] Sir Oliver Martext, you are well met: will you dispatch us here under this tree, or shall we go with you to your chapel? SIR OLIVER MARTEXT Is there none here to give the woman? TOUCHSTONE I will not take her on gift of any man. SIR OLIVER MARTEXT Truly, she must be given, or the marriage is not lawful. JAQUES [Advancing] Proceed, proceed I'll give her. TOUCHSTONE Good even, good Master What-ye-call't: how do you, sir? You are very well met: God 'ild you for your last company: I am very glad to see you: even a toy in hand here, sir: nay, pray be covered. JAQUES Will you be married, motley? TOUCHSTONE As the ox hath his bow, sir, the horse his curb and the falcon her bells, so man hath his desires; and as pigeons bill, so wedlock would be nibbling. JAQUES And will you, being a man of your breeding, be married under a bush like a beggar? Get you to church, and have a good priest that can tell you what marriage is: this fellow will but join you together as they join wainscot; then one of you will prove a shrunk panel and, like green timber, warp, warp. TOUCHSTONE [Aside] I am not in the mind but I were better to be married of him than of another: for he is not like to marry me well; and not being well married, it will be a good excuse for me hereafter to leave my wife. JAQUES Go thou with me, and let me counsel thee. TOUCHSTONE 'Come, sweet Audrey: We must be married, or we must live in bawdry. Farewell, good Master Oliver: not,-- O sweet Oliver, O brave Oliver, Leave me not behind thee: but,-- Wind away, Begone, I say, I will not to wedding with thee. [Exeunt JAQUES, TOUCHSTONE and AUDREY] SIR OLIVER MARTEXT 'Tis no matter: ne'er a fantastical knave of them all shall flout me out of my calling. [Exit] AS YOU LIKE IT ACT III SCENE IV The forest. [Enter ROSALIND and CELIA] ROSALIND Never talk to me; I will weep. CELIA Do, I prithee; but yet have the grace to consider that tears do not become a man. ROSALIND But have I not cause to weep? CELIA As good cause as one would desire; therefore weep. ROSALIND His very hair is of the dissembling colour. CELIA Something browner than Judas's marry, his kisses are Judas's own children. ROSALIND I' faith, his hair is of a good colour. CELIA An excellent colour: your chestnut was ever the only colour. ROSALIND And his kissing is as full of sanctity as the touch of holy bread. CELIA He hath bought a pair of cast lips of Diana: a nun of winter's sisterhood kisses not more religiously; the very ice of chastity is in them. ROSALIND But why did he swear he would come this morning, and comes not? CELIA Nay, certainly, there is no truth in him. ROSALIND Do you think so? CELIA Yes; I think he is not a pick-purse nor a horse-stealer, but for his verity in love, I do think him as concave as a covered goblet or a worm-eaten nut. ROSALIND Not true in love? CELIA Yes, when he is in; but I think he is not in. ROSALIND You have heard him swear downright he was. CELIA 'Was' is not 'is:' besides, the oath of a lover is no stronger than the word of a tapster; they are both the confirmer of false reckonings. He attends here in the forest on the duke your father. ROSALIND I met the duke yesterday and had much question with him: he asked me of what parentage I was; I told him, of as good as he; so he laughed and let me go. But what talk we of fathers, when there is such a man as Orlando? CELIA O, that's a brave man! he writes brave verses, speaks brave words, swears brave oaths and breaks them bravely, quite traverse, athwart the heart of his lover; as a puisny tilter, that spurs his horse but on one side, breaks his staff like a noble goose: but all's brave that youth mounts and folly guides. Who comes here? [Enter CORIN] CORIN Mistress and master, you have oft inquired After the shepherd that complain'd of love, Who you saw sitting by me on the turf, Praising the proud disdainful shepherdess That was his mistress. CELIA Well, and what of him? CORIN If you will see a pageant truly play'd, Between the pale complexion of true love And the red glow of scorn and proud disdain, Go hence a little and I shall conduct you, If you will mark it. ROSALIND O, come, let us remove: The sight of lovers feedeth those in love. Bring us to this sight, and you shall say I'll prove a busy actor in their play. [Exeunt] AS YOU LIKE IT ACT III SCENE V Another part of the forest. [Enter SILVIUS and PHEBE] SILVIUS Sweet Phebe, do not scorn me; do not, Phebe; Say that you love me not, but say not so In bitterness. The common executioner, Whose heart the accustom'd sight of death makes hard, Falls not the axe upon the humbled neck But first begs pardon: will you sterner be Than he that dies and lives by bloody drops? [Enter ROSALIND, CELIA, and CORIN, behind] PHEBE I would not be thy executioner: I fly thee, for I would not injure thee. Thou tell'st me there is murder in mine eye: 'Tis pretty, sure, and very probable, That eyes, that are the frail'st and softest things, Who shut their coward gates on atomies, Should be call'd tyrants, butchers, murderers! Now I do frown on thee with all my heart; And if mine eyes can wound, now let them kill thee: Now counterfeit to swoon; why now fall down; Or if thou canst not, O, for shame, for shame, Lie not, to say mine eyes are murderers! Now show the wound mine eye hath made in thee: Scratch thee but with a pin, and there remains Some scar of it; lean but upon a rush, The cicatrice and capable impressure Thy palm some moment keeps; but now mine eyes, Which I have darted at thee, hurt thee not, Nor, I am sure, there is no force in eyes That can do hurt. SILVIUS O dear Phebe, If ever,--as that ever may be near,-- You meet in some fresh cheek the power of fancy, Then shall you know the wounds invisible That love's keen arrows make. PHEBE But till that time Come not thou near me: and when that time comes, Afflict me with thy mocks, pity me not; As till that time I shall not pity thee. ROSALIND And why, I pray you? Who might be your mother, That you insult, exult, and all at once, Over the wretched? What though you have no beauty,-- As, by my faith, I see no more in you Than without candle may go dark to bed-- Must you be therefore proud and pitiless? Why, what means this? Why do you look on me? I see no more in you than in the ordinary Of nature's sale-work. 'Od's my little life, I think she means to tangle my eyes too! No, faith, proud mistress, hope not after it: 'Tis not your inky brows, your black silk hair, Your bugle eyeballs, nor your cheek of cream, That can entame my spirits to your worship. You foolish shepherd, wherefore do you follow her, Like foggy south puffing with wind and rain? You are a thousand times a properer man Than she a woman: 'tis such fools as you That makes the world full of ill-favour'd children: 'Tis not her glass, but you, that flatters her; And out of you she sees herself more proper Than any of her lineaments can show her. But, mistress, know yourself: down on your knees, And thank heaven, fasting, for a good man's love: For I must tell you friendly in your ear, Sell when you can: you are not for all markets: Cry the man mercy; love him; take his offer: Foul is most foul, being foul to be a scoffer. So take her to thee, shepherd: fare you well. PHEBE Sweet youth, I pray you, chide a year together: I had rather hear you chide than this man woo. ROSALIND He's fallen in love with your foulness and she'll fall in love with my anger. If it be so, as fast as she answers thee with frowning looks, I'll sauce her with bitter words. Why look you so upon me? PHEBE For no ill will I bear you. ROSALIND I pray you, do not fall in love with me, For I am falser than vows made in wine: Besides, I like you not. If you will know my house, 'Tis at the tuft of olives here hard by. Will you go, sister? Shepherd, ply her hard. Come, sister. Shepherdess, look on him better, And be not proud: though all the world could see, None could be so abused in sight as he. Come, to our flock. [Exeunt ROSALIND, CELIA and CORIN] PHEBE Dead Shepherd, now I find thy saw of might, 'Who ever loved that loved not at first sight?' SILVIUS Sweet Phebe,-- PHEBE Ha, what say'st thou, Silvius? SILVIUS Sweet Phebe, pity me. PHEBE Why, I am sorry for thee, gentle Silvius. SILVIUS Wherever sorrow is, relief would be: If you do sorrow at my grief in love, By giving love your sorrow and my grief Were both extermined. PHEBE Thou hast my love: is not that neighbourly? SILVIUS I would have you. PHEBE Why, that were covetousness. Silvius, the time was that I hated thee, And yet it is not that I bear thee love; But since that thou canst talk of love so well, Thy company, which erst was irksome to me, I will endure, and I'll employ thee too: But do not look for further recompense Than thine own gladness that thou art employ'd. SILVIUS So holy and so perfect is my love, And I in such a poverty of grace, That I shall think it a most plenteous crop To glean the broken ears after the man That the main harvest reaps: loose now and then A scatter'd smile, and that I'll live upon. PHEBE Know'st now the youth that spoke to me erewhile? SILVIUS Not very well, but I have met him oft; And he hath bought the cottage and the bounds That the old carlot once was master of. PHEBE Think not I love him, though I ask for him: 'Tis but a peevish boy; yet he talks well; But what care I for words? yet words do well When he that speaks them pleases those that hear. It is a pretty youth: not very pretty: But, sure, he's proud, and yet his pride becomes him: He'll make a proper man: the best thing in him Is his complexion; and faster than his tongue Did make offence his eye did heal it up. He is not very tall; yet for his years he's tall: His leg is but so so; and yet 'tis well: There was a pretty redness in his lip, A little riper and more lusty red Than that mix'd in his cheek; 'twas just the difference Between the constant red and mingled damask. There be some women, Silvius, had they mark'd him In parcels as I did, would have gone near To fall in love with him; but, for my part, I love him not nor hate him not; and yet I have more cause to hate him than to love him: For what had he to do to chide at me? He said mine eyes were black and my hair black: And, now I am remember'd, scorn'd at me: I marvel why I answer'd not again: But that's all one; omittance is no quittance. I'll write to him a very taunting letter, And thou shalt bear it: wilt thou, Silvius? SILVIUS Phebe, with all my heart. PHEBE I'll write it straight; The matter's in my head and in my heart: I will be bitter with him and passing short. Go with me, Silvius. [Exeunt] AS YOU LIKE IT ACT IV SCENE I The forest. [Enter ROSALIND, CELIA, and JAQUES] JAQUES I prithee, pretty youth, let me be better acquainted with thee. ROSALIND They say you are a melancholy fellow. JAQUES I am so; I do love it better than laughing. ROSALIND Those that are in extremity of either are abominable fellows and betray themselves to every modern censure worse than drunkards. JAQUES Why, 'tis good to be sad and say nothing. ROSALIND Why then, 'tis good to be a post. JAQUES I have neither the scholar's melancholy, which is emulation, nor the musician's, which is fantastical, nor the courtier's, which is proud, nor the soldier's, which is ambitious, nor the lawyer's, which is politic, nor the lady's, which is nice, nor the lover's, which is all these: but it is a melancholy of mine own, compounded of many simples, extracted from many objects, and indeed the sundry's contemplation of my travels, in which my often rumination wraps me m a most humorous sadness. ROSALIND A traveller! By my faith, you have great reason to be sad: I fear you have sold your own lands to see other men's; then, to have seen much and to have nothing, is to have rich eyes and poor hands. JAQUES Yes, I have gained my experience. ROSALIND And your experience makes you sad: I had rather have a fool to make me merry than experience to make me sad; and to travel for it too! [Enter ORLANDO] ORLANDO Good day and happiness, dear Rosalind! JAQUES Nay, then, God be wi' you, an you talk in blank verse. [Exit] ROSALIND Farewell, Monsieur Traveller: look you lisp and wear strange suits, disable all the benefits of your own country, be out of love with your nativity and almost chide God for making you that countenance you are, or I will scarce think you have swam in a gondola. Why, how now, Orlando! where have you been all this while? You a lover! An you serve me such another trick, never come in my sight more. ORLANDO My fair Rosalind, I come within an hour of my promise. ROSALIND Break an hour's promise in love! He that will divide a minute into a thousand parts and break but a part of the thousandth part of a minute in the affairs of love, it may be said of him that Cupid hath clapped him o' the shoulder, but I'll warrant him heart-whole. ORLANDO Pardon me, dear Rosalind. ROSALIND Nay, an you be so tardy, come no more in my sight: I had as lief be wooed of a snail. ORLANDO Of a snail? ROSALIND Ay, of a snail; for though he comes slowly, he carries his house on his head; a better jointure, I think, than you make a woman: besides he brings his destiny with him. ORLANDO What's that? ROSALIND Why, horns, which such as you are fain to be beholding to your wives for: but he comes armed in his fortune and prevents the slander of his wife. ORLANDO Virtue is no horn-maker; and my Rosalind is virtuous. ROSALIND And I am your Rosalind. CELIA It pleases him to call you so; but he hath a Rosalind of a better leer than you. ROSALIND Come, woo me, woo me, for now I am in a holiday humour and like enough to consent. What would you say to me now, an I were your very very Rosalind? ORLANDO I would kiss before I spoke. ROSALIND Nay, you were better speak first, and when you were gravelled for lack of matter, you might take occasion to kiss. Very good orators, when they are out, they will spit; and for lovers lacking--God warn us!--matter, the cleanliest shift is to kiss. ORLANDO How if the kiss be denied? ROSALIND Then she puts you to entreaty, and there begins new matter. ORLANDO Who could be out, being before his beloved mistress? ROSALIND Marry, that should you, if I were your mistress, or I should think my honesty ranker than my wit. ORLANDO What, of my suit? ROSALIND Not out of your apparel, and yet out of your suit. Am not I your Rosalind? ORLANDO I take some joy to say you are, because I would be talking of her. ROSALIND Well in her person I say I will not have you. ORLANDO Then in mine own person I die. ROSALIND No, faith, die by attorney. The poor world is almost six thousand years old, and in all this time there was not any man died in his own person, videlicit, in a love-cause. Troilus had his brains dashed out with a Grecian club; yet he did what he could to die before, and he is one of the patterns of love. Leander, he would have lived many a fair year, though Hero had turned nun, if it had not been for a hot midsummer night; for, good youth, he went but forth to wash him in the Hellespont and being taken with the cramp was drowned and the foolish coroners of that age found it was 'Hero of Sestos.' But these are all lies: men have died from time to time and worms have eaten them, but not for love. ORLANDO I would not have my right Rosalind of this mind, for, I protest, her frown might kill me. ROSALIND By this hand, it will not kill a fly. But come, now I will be your Rosalind in a more coming-on disposition, and ask me what you will. I will grant it. ORLANDO Then love me, Rosalind. ROSALIND Yes, faith, will I, Fridays and Saturdays and all. ORLANDO And wilt thou have me? ROSALIND Ay, and twenty such. ORLANDO What sayest thou? ROSALIND Are you not good? ORLANDO I hope so. ROSALIND Why then, can one desire too much of a good thing? Come, sister, you shall be the priest and marry us. Give me your hand, Orlando. What do you say, sister? ORLANDO Pray thee, marry us. CELIA I cannot say the words. ROSALIND You must begin, 'Will you, Orlando--' CELIA Go to. Will you, Orlando, have to wife this Rosalind? ORLANDO I will. ROSALIND Ay, but when? ORLANDO Why now; as fast as she can marry us. ROSALIND Then you must say 'I take thee, Rosalind, for wife.' ORLANDO I take thee, Rosalind, for wife. ROSALIND I might ask you for your commission; but I do take thee, Orlando, for my husband: there's a girl goes before the priest; and certainly a woman's thought runs before her actions. ORLANDO So do all thoughts; they are winged. ROSALIND Now tell me how long you would have her after you have possessed her. ORLANDO For ever and a day. ROSALIND Say 'a day,' without the 'ever.' No, no, Orlando; men are April when they woo, December when they wed: maids are May when they are maids, but the sky changes when they are wives. I will be more jealous of thee than a Barbary cock-pigeon over his hen, more clamorous than a parrot against rain, more new-fangled than an ape, more giddy in my desires than a monkey: I will weep for nothing, like Diana in the fountain, and I will do that when you are disposed to be merry; I will laugh like a hyen, and that when thou art inclined to sleep. ORLANDO But will my Rosalind do so? ROSALIND By my life, she will do as I do. ORLANDO O, but she is wise. ROSALIND Or else she could not have the wit to do this: the wiser, the waywarder: make the doors upon a woman's wit and it will out at the casement; shut that and 'twill out at the key-hole; stop that, 'twill fly with the smoke out at the chimney. ORLANDO A man that had a wife with such a wit, he might say 'Wit, whither wilt?' ROSALIND Nay, you might keep that cheque for it till you met your wife's wit going to your neighbour's bed. ORLANDO And what wit could wit have to excuse that? ROSALIND Marry, to say she came to seek you there. You shall never take her without her answer, unless you take her without her tongue. O, that woman that cannot make her fault her husband's occasion, let her never nurse her child herself, for she will breed it like a fool! ORLANDO For these two hours, Rosalind, I will leave thee. ROSALIND Alas! dear love, I cannot lack thee two hours. ORLANDO I must attend the duke at dinner: by two o'clock I will be with thee again. ROSALIND Ay, go your ways, go your ways; I knew what you would prove: my friends told me as much, and I thought no less: that flattering tongue of yours won me: 'tis but one cast away, and so, come, death! Two o'clock is your hour? ORLANDO Ay, sweet Rosalind. ROSALIND By my troth, and in good earnest, and so God mend me, and by all pretty oaths that are not dangerous, if you break one jot of your promise or come one minute behind your hour, I will think you the most pathetical break-promise and the most hollow lover and the most unworthy of her you call Rosalind that may be chosen out of the gross band of the unfaithful: therefore beware my censure and keep your promise. ORLANDO With no less religion than if thou wert indeed my Rosalind: so adieu. ROSALIND Well, Time is the old justice that examines all such offenders, and let Time try: adieu. [Exit ORLANDO] CELIA You have simply misused our sex in your love-prate: we must have your doublet and hose plucked over your head, and show the world what the bird hath done to her own nest. ROSALIND O coz, coz, coz, my pretty little coz, that thou didst know how many fathom deep I am in love! But it cannot be sounded: my affection hath an unknown bottom, like the bay of Portugal. CELIA Or rather, bottomless, that as fast as you pour affection in, it runs out. ROSALIND No, that same wicked bastard of Venus that was begot of thought, conceived of spleen and born of madness, that blind rascally boy that abuses every one's eyes because his own are out, let him be judge how deep I am in love. I'll tell thee, Aliena, I cannot be out of the sight of Orlando: I'll go find a shadow and sigh till he come. CELIA And I'll sleep. [Exeunt] AS YOU LIKE IT ACT IV SCENE II The forest. [Enter JAQUES, Lords, and Foresters] JAQUES Which is he that killed the deer? A Lord Sir, it was I. JAQUES Let's present him to the duke, like a Roman conqueror; and it would do well to set the deer's horns upon his head, for a branch of victory. Have you no song, forester, for this purpose? Forester Yes, sir. JAQUES Sing it: 'tis no matter how it be in tune, so it make noise enough. SONG. Forester What shall he have that kill'd the deer? His leather skin and horns to wear. Then sing him home; [The rest shall bear this burden] Take thou no scorn to wear the horn; It was a crest ere thou wast born: Thy father's father wore it, And thy father bore it: The horn, the horn, the lusty horn Is not a thing to laugh to scorn. [Exeunt] AS YOU LIKE IT ACT IV SCENE III The forest. [Enter ROSALIND and CELIA] ROSALIND How say you now? Is it not past two o'clock? and here much Orlando! CELIA I warrant you, with pure love and troubled brain, he hath ta'en his bow and arrows and is gone forth to sleep. Look, who comes here. [Enter SILVIUS] SILVIUS My errand is to you, fair youth; My gentle Phebe bid me give you this: I know not the contents; but, as I guess By the stern brow and waspish action Which she did use as she was writing of it, It bears an angry tenor: pardon me: I am but as a guiltless messenger. ROSALIND Patience herself would startle at this letter And play the swaggerer; bear this, bear all: She says I am not fair, that I lack manners; She calls me proud, and that she could not love me, Were man as rare as phoenix. 'Od's my will! Her love is not the hare that I do hunt: Why writes she so to me? Well, shepherd, well, This is a letter of your own device. SILVIUS No, I protest, I know not the contents: Phebe did write it. ROSALIND Come, come, you are a fool And turn'd into the extremity of love. I saw her hand: she has a leathern hand. A freestone-colour'd hand; I verily did think That her old gloves were on, but 'twas her hands: She has a huswife's hand; but that's no matter: I say she never did invent this letter; This is a man's invention and his hand. SILVIUS Sure, it is hers. ROSALIND Why, 'tis a boisterous and a cruel style. A style for-challengers; why, she defies me, Like Turk to Christian: women's gentle brain Could not drop forth such giant-rude invention Such Ethiope words, blacker in their effect Than in their countenance. Will you hear the letter? SILVIUS So please you, for I never heard it yet; Yet heard too much of Phebe's cruelty. ROSALIND She Phebes me: mark how the tyrant writes. [Reads] Art thou god to shepherd turn'd, That a maiden's heart hath burn'd? Can a woman rail thus? SILVIUS Call you this railing? ROSALIND [Reads] Why, thy godhead laid apart, Warr'st thou with a woman's heart? Did you ever hear such railing? Whiles the eye of man did woo me, That could do no vengeance to me. Meaning me a beast. If the scorn of your bright eyne Have power to raise such love in mine, Alack, in me what strange effect Would they work in mild aspect! Whiles you chid me, I did love; How then might your prayers move! He that brings this love to thee Little knows this love in me: And by him seal up thy mind; Whether that thy youth and kind Will the faithful offer take Of me and all that I can make; Or else by him my love deny, And then I'll study how to die. SILVIUS Call you this chiding? CELIA Alas, poor shepherd! ROSALIND Do you pity him? no, he deserves no pity. Wilt thou love such a woman? What, to make thee an instrument and play false strains upon thee! not to be endured! Well, go your way to her, for I see love hath made thee a tame snake, and say this to her: that if she love me, I charge her to love thee; if she will not, I will never have her unless thou entreat for her. If you be a true lover, hence, and not a word; for here comes more company. [Exit SILVIUS] [Enter OLIVER] OLIVER Good morrow, fair ones: pray you, if you know, Where in the purlieus of this forest stands A sheep-cote fenced about with olive trees? CELIA West of this place, down in the neighbour bottom: The rank of osiers by the murmuring stream Left on your right hand brings you to the place. But at this hour the house doth keep itself; There's none within. OLIVER If that an eye may profit by a tongue, Then should I know you by description; Such garments and such years: 'The boy is fair, Of female favour, and bestows himself Like a ripe sister: the woman low And browner than her brother.' Are not you The owner of the house I did inquire for? CELIA It is no boast, being ask'd, to say we are. OLIVER Orlando doth commend him to you both, And to that youth he calls his Rosalind He sends this bloody napkin. Are you he? ROSALIND I am: what must we understand by this? OLIVER Some of my shame; if you will know of me What man I am, and how, and why, and where This handkercher was stain'd. CELIA I pray you, tell it. OLIVER When last the young Orlando parted from you He left a promise to return again Within an hour, and pacing through the forest, Chewing the food of sweet and bitter fancy, Lo, what befell! he threw his eye aside, And mark what object did present itself: Under an oak, whose boughs were moss'd with age And high top bald with dry antiquity, A wretched ragged man, o'ergrown with hair, Lay sleeping on his back: about his neck A green and gilded snake had wreathed itself, Who with her head nimble in threats approach'd The opening of his mouth; but suddenly, Seeing Orlando, it unlink'd itself, And with indented glides did slip away Into a bush: under which bush's shade A lioness, with udders all drawn dry, Lay couching, head on ground, with catlike watch, When that the sleeping man should stir; for 'tis The royal disposition of that beast To prey on nothing that doth seem as dead: This seen, Orlando did approach the man And found it was his brother, his elder brother. CELIA O, I have heard him speak of that same brother; And he did render him the most unnatural That lived amongst men. OLIVER And well he might so do, For well I know he was unnatural. ROSALIND But, to Orlando: did he leave him there, Food to the suck'd and hungry lioness? OLIVER Twice did he turn his back and purposed so; But kindness, nobler ever than revenge, And nature, stronger than his just occasion, Made him give battle to the lioness, Who quickly fell before him: in which hurtling From miserable slumber I awaked. CELIA Are you his brother? ROSALIND Wast you he rescued? CELIA Was't you that did so oft contrive to kill him? OLIVER 'Twas I; but 'tis not I I do not shame To tell you what I was, since my conversion So sweetly tastes, being the thing I am. ROSALIND But, for the bloody napkin? OLIVER By and by. When from the first to last betwixt us two Tears our recountments had most kindly bathed, As how I came into that desert place:-- In brief, he led me to the gentle duke, Who gave me fresh array and entertainment, Committing me unto my brother's love; Who led me instantly unto his cave, There stripp'd himself, and here upon his arm The lioness had torn some flesh away, Which all this while had bled; and now he fainted And cried, in fainting, upon Rosalind. Brief, I recover'd him, bound up his wound; And, after some small space, being strong at heart, He sent me hither, stranger as I am, To tell this story, that you might excuse His broken promise, and to give this napkin Dyed in his blood unto the shepherd youth That he in sport doth call his Rosalind. [ROSALIND swoons] CELIA Why, how now, Ganymede! sweet Ganymede! OLIVER Many will swoon when they do look on blood. CELIA There is more in it. Cousin Ganymede! OLIVER Look, he recovers. ROSALIND I would I were at home. CELIA We'll lead you thither. I pray you, will you take him by the arm? OLIVER Be of good cheer, youth: you a man! you lack a man's heart. ROSALIND I do so, I confess it. Ah, sirrah, a body would think this was well counterfeited! I pray you, tell your brother how well I counterfeited. Heigh-ho! OLIVER This was not counterfeit: there is too great testimony in your complexion that it was a passion of earnest. ROSALIND Counterfeit, I assure you. OLIVER Well then, take a good heart and counterfeit to be a man. ROSALIND So I do: but, i' faith, I should have been a woman by right. CELIA Come, you look paler and paler: pray you, draw homewards. Good sir, go with us. OLIVER That will I, for I must bear answer back How you excuse my brother, Rosalind. ROSALIND I shall devise something: but, I pray you, commend my counterfeiting to him. Will you go? [Exeunt] AS YOU LIKE IT ACT V SCENE I The forest. [Enter TOUCHSTONE and AUDREY] TOUCHSTONE We shall find a time, Audrey; patience, gentle Audrey. AUDREY Faith, the priest was good enough, for all the old gentleman's saying. TOUCHSTONE A most wicked Sir Oliver, Audrey, a most vile Martext. But, Audrey, there is a youth here in the forest lays claim to you. AUDREY Ay, I know who 'tis; he hath no interest in me in the world: here comes the man you mean. TOUCHSTONE It is meat and drink to me to see a clown: by my troth, we that have good wits have much to answer for; we shall be flouting; we cannot hold. [Enter WILLIAM] WILLIAM Good even, Audrey. AUDREY God ye good even, William. WILLIAM And good even to you, sir. TOUCHSTONE Good even, gentle friend. Cover thy head, cover thy head; nay, prithee, be covered. How old are you, friend? WILLIAM Five and twenty, sir. TOUCHSTONE A ripe age. Is thy name William? WILLIAM William, sir. TOUCHSTONE A fair name. Wast born i' the forest here? WILLIAM Ay, sir, I thank God. TOUCHSTONE 'Thank God;' a good answer. Art rich? WILLIAM Faith, sir, so so. TOUCHSTONE 'So so' is good, very good, very excellent good; and yet it is not; it is but so so. Art thou wise? WILLIAM Ay, sir, I have a pretty wit. TOUCHSTONE Why, thou sayest well. I do now remember a saying, 'The fool doth think he is wise, but the wise man knows himself to be a fool.' The heathen philosopher, when he had a desire to eat a grape, would open his lips when he put it into his mouth; meaning thereby that grapes were made to eat and lips to open. You do love this maid? WILLIAM I do, sir. TOUCHSTONE Give me your hand. Art thou learned? WILLIAM No, sir. TOUCHSTONE Then learn this of me: to have, is to have; for it is a figure in rhetoric that drink, being poured out of a cup into a glass, by filling the one doth empty the other; for all your writers do consent that ipse is he: now, you are not ipse, for I am he. WILLIAM Which he, sir? TOUCHSTONE He, sir, that must marry this woman. Therefore, you clown, abandon,--which is in the vulgar leave,--the society,--which in the boorish is company,--of this female,--which in the common is woman; which together is, abandon the society of this female, or, clown, thou perishest; or, to thy better understanding, diest; or, to wit I kill thee, make thee away, translate thy life into death, thy liberty into bondage: I will deal in poison with thee, or in bastinado, or in steel; I will bandy with thee in faction; I will o'errun thee with policy; I will kill thee a hundred and fifty ways: therefore tremble and depart. AUDREY Do, good William. WILLIAM God rest you merry, sir. [Exit] [Enter CORIN] CORIN Our master and mistress seeks you; come, away, away! TOUCHSTONE Trip, Audrey! trip, Audrey! I attend, I attend. [Exeunt] AS YOU LIKE IT ACT V SCENE II The forest. [Enter ORLANDO and OLIVER] ORLANDO Is't possible that on so little acquaintance you should like her? that but seeing you should love her? and loving woo? and, wooing, she should grant? and will you persever to enjoy her? OLIVER Neither call the giddiness of it in question, the poverty of her, the small acquaintance, my sudden wooing, nor her sudden consenting; but say with me, I love Aliena; say with her that she loves me; consent with both that we may enjoy each other: it shall be to your good; for my father's house and all the revenue that was old Sir Rowland's will I estate upon you, and here live and die a shepherd. ORLANDO You have my consent. Let your wedding be to-morrow: thither will I invite the duke and all's contented followers. Go you and prepare Aliena; for look you, here comes my Rosalind. [Enter ROSALIND] ROSALIND God save you, brother. OLIVER And you, fair sister. [Exit] ROSALIND O, my dear Orlando, how it grieves me to see thee wear thy heart in a scarf! ORLANDO It is my arm. ROSALIND I thought thy heart had been wounded with the claws of a lion. ORLANDO Wounded it is, but with the eyes of a lady. ROSALIND Did your brother tell you how I counterfeited to swoon when he showed me your handkerchief? ORLANDO Ay, and greater wonders than that. ROSALIND O, I know where you are: nay, 'tis true: there was never any thing so sudden but the fight of two rams and Caesar's thrasonical brag of 'I came, saw, and overcame:' for your brother and my sister no sooner met but they looked, no sooner looked but they loved, no sooner loved but they sighed, no sooner sighed but they asked one another the reason, no sooner knew the reason but they sought the remedy; and in these degrees have they made a pair of stairs to marriage which they will climb incontinent, or else be incontinent before marriage: they are in the very wrath of love and they will together; clubs cannot part them. ORLANDO They shall be married to-morrow, and I will bid the duke to the nuptial. But, O, how bitter a thing it is to look into happiness through another man's eyes! By so much the more shall I to-morrow be at the height of heart-heaviness, by how much I shall think my brother happy in having what he wishes for. ROSALIND Why then, to-morrow I cannot serve your turn for Rosalind? ORLANDO I can live no longer by thinking. ROSALIND I will weary you then no longer with idle talking. Know of me then, for now I speak to some purpose, that I know you are a gentleman of good conceit: I speak not this that you should bear a good opinion of my knowledge, insomuch I say I know you are; neither do I labour for a greater esteem than may in some little measure draw a belief from you, to do yourself good and not to grace me. Believe then, if you please, that I can do strange things: I have, since I was three year old, conversed with a magician, most profound in his art and yet not damnable. If you do love Rosalind so near the heart as your gesture cries it out, when your brother marries Aliena, shall you marry her: I know into what straits of fortune she is driven; and it is not impossible to me, if it appear not inconvenient to you, to set her before your eyes tomorrow human as she is and without any danger. ORLANDO Speakest thou in sober meanings? ROSALIND By my life, I do; which I tender dearly, though I say I am a magician. Therefore, put you in your best array: bid your friends; for if you will be married to-morrow, you shall, and to Rosalind, if you will. [Enter SILVIUS and PHEBE] Look, here comes a lover of mine and a lover of hers. PHEBE Youth, you have done me much ungentleness, To show the letter that I writ to you. ROSALIND I care not if I have: it is my study To seem despiteful and ungentle to you: You are there followed by a faithful shepherd; Look upon him, love him; he worships you. PHEBE Good shepherd, tell this youth what 'tis to love. SILVIUS It is to be all made of sighs and tears; And so am I for Phebe. PHEBE And I for Ganymede. ORLANDO And I for Rosalind. ROSALIND And I for no woman. SILVIUS It is to be all made of faith and service; And so am I for Phebe. PHEBE And I for Ganymede. ORLANDO And I for Rosalind. ROSALIND And I for no woman. SILVIUS It is to be all made of fantasy, All made of passion and all made of wishes, All adoration, duty, and observance, All humbleness, all patience and impatience, All purity, all trial, all observance; And so am I for Phebe. PHEBE And so am I for Ganymede. ORLANDO And so am I for Rosalind. ROSALIND And so am I for no woman. PHEBE If this be so, why blame you me to love you? SILVIUS If this be so, why blame you me to love you? ORLANDO If this be so, why blame you me to love you? ROSALIND Who do you speak to, 'Why blame you me to love you?' ORLANDO To her that is not here, nor doth not hear. ROSALIND Pray you, no more of this; 'tis like the howling of Irish wolves against the moon. [To SILVIUS] I will help you, if I can: [To PHEBE] I would love you, if I could. To-morrow meet me all together. [To PHEBE] I will marry you, if ever I marry woman, and I'll be married to-morrow: [To ORLANDO] I will satisfy you, if ever I satisfied man, and you shall be married to-morrow: [To SILVIUS] I will content you, if what pleases you contents you, and you shall be married to-morrow. [To ORLANDO] As you love Rosalind, meet: [To SILVIUS] as you love Phebe, meet: and as I love no woman, I'll meet. So fare you well: I have left you commands. SILVIUS I'll not fail, if I live. PHEBE Nor I. ORLANDO Nor I. [Exeunt] AS YOU LIKE IT ACT V SCENE III The forest. [Enter TOUCHSTONE and AUDREY] TOUCHSTONE To-morrow is the joyful day, Audrey; to-morrow will we be married. AUDREY I do desire it with all my heart; and I hope it is no dishonest desire to desire to be a woman of the world. Here comes two of the banished duke's pages. [Enter two Pages] First Page Well met, honest gentleman. TOUCHSTONE By my troth, well met. Come, sit, sit, and a song. Second Page We are for you: sit i' the middle. First Page Shall we clap into't roundly, without hawking or spitting or saying we are hoarse, which are the only prologues to a bad voice? Second Page I'faith, i'faith; and both in a tune, like two gipsies on a horse. SONG. It was a lover and his lass, With a hey, and a ho, and a hey nonino, That o'er the green corn-field did pass In the spring time, the only pretty ring time, When birds do sing, hey ding a ding, ding: Sweet lovers love the spring. Between the acres of the rye, With a hey, and a ho, and a hey nonino These pretty country folks would lie, In spring time, &c. This carol they began that hour, With a hey, and a ho, and a hey nonino, How that a life was but a flower In spring time, &c. And therefore take the present time, With a hey, and a ho, and a hey nonino; For love is crowned with the prime In spring time, &c. TOUCHSTONE Truly, young gentlemen, though there was no great matter in the ditty, yet the note was very untuneable. First Page You are deceived, sir: we kept time, we lost not our time. TOUCHSTONE By my troth, yes; I count it but time lost to hear such a foolish song. God be wi' you; and God mend your voices! Come, Audrey. [Exeunt] AS YOU LIKE IT ACT V SCENE IV The forest. [Enter DUKE SENIOR, AMIENS, JAQUES, ORLANDO, OLIVER, and CELIA] DUKE SENIOR Dost thou believe, Orlando, that the boy Can do all this that he hath promised? ORLANDO I sometimes do believe, and sometimes do not; As those that fear they hope, and know they fear. [Enter ROSALIND, SILVIUS, and PHEBE] ROSALIND Patience once more, whiles our compact is urged: You say, if I bring in your Rosalind, You will bestow her on Orlando here? DUKE SENIOR That would I, had I kingdoms to give with her. ROSALIND And you say, you will have her, when I bring her? ORLANDO That would I, were I of all kingdoms king. ROSALIND You say, you'll marry me, if I be willing? PHEBE That will I, should I die the hour after. ROSALIND But if you do refuse to marry me, You'll give yourself to this most faithful shepherd? PHEBE So is the bargain. ROSALIND You say, that you'll have Phebe, if she will? SILVIUS Though to have her and death were both one thing. ROSALIND I have promised to make all this matter even. Keep you your word, O duke, to give your daughter; You yours, Orlando, to receive his daughter: Keep your word, Phebe, that you'll marry me, Or else refusing me, to wed this shepherd: Keep your word, Silvius, that you'll marry her. If she refuse me: and from hence I go, To make these doubts all even. [Exeunt ROSALIND and CELIA] DUKE SENIOR I do remember in this shepherd boy Some lively touches of my daughter's favour. ORLANDO My lord, the first time that I ever saw him Methought he was a brother to your daughter: But, my good lord, this boy is forest-born, And hath been tutor'd in the rudiments Of many desperate studies by his uncle, Whom he reports to be a great magician, Obscured in the circle of this forest. [Enter TOUCHSTONE and AUDREY] JAQUES There is, sure, another flood toward, and these couples are coming to the ark. Here comes a pair of very strange beasts, which in all tongues are called fools. TOUCHSTONE Salutation and greeting to you all! JAQUES Good my lord, bid him welcome: this is the motley-minded gentleman that I have so often met in the forest: he hath been a courtier, he swears. TOUCHSTONE If any man doubt that, let him put me to my purgation. I have trod a measure; I have flattered a lady; I have been politic with my friend, smooth with mine enemy; I have undone three tailors; I have had four quarrels, and like to have fought one. JAQUES And how was that ta'en up? TOUCHSTONE Faith, we met, and found the quarrel was upon the seventh cause. JAQUES How seventh cause? Good my lord, like this fellow. DUKE SENIOR I like him very well. TOUCHSTONE God 'ild you, sir; I desire you of the like. I press in here, sir, amongst the rest of the country copulatives, to swear and to forswear: according as marriage binds and blood breaks: a poor virgin, sir, an ill-favoured thing, sir, but mine own; a poor humour of mine, sir, to take that that no man else will: rich honesty dwells like a miser, sir, in a poor house; as your pearl in your foul oyster. DUKE SENIOR By my faith, he is very swift and sententious. TOUCHSTONE According to the fool's bolt, sir, and such dulcet diseases. JAQUES But, for the seventh cause; how did you find the quarrel on the seventh cause? TOUCHSTONE Upon a lie seven times removed:--bear your body more seeming, Audrey:--as thus, sir. I did dislike the cut of a certain courtier's beard: he sent me word, if I said his beard was not cut well, he was in the mind it was: this is called the Retort Courteous. If I sent him word again 'it was not well cut,' he would send me word, he cut it to please himself: this is called the Quip Modest. If again 'it was not well cut,' he disabled my judgment: this is called the Reply Churlish. If again 'it was not well cut,' he would answer, I spake not true: this is called the Reproof Valiant. If again 'it was not well cut,' he would say I lied: this is called the Counter-cheque Quarrelsome: and so to the Lie Circumstantial and the Lie Direct. JAQUES And how oft did you say his beard was not well cut? TOUCHSTONE I durst go no further than the Lie Circumstantial, nor he durst not give me the Lie Direct; and so we measured swords and parted. JAQUES Can you nominate in order now the degrees of the lie? TOUCHSTONE O sir, we quarrel in print, by the book; as you have books for good manners: I will name you the degrees. The first, the Retort Courteous; the second, the Quip Modest; the third, the Reply Churlish; the fourth, the Reproof Valiant; the fifth, the Countercheque Quarrelsome; the sixth, the Lie with Circumstance; the seventh, the Lie Direct. All these you may avoid but the Lie Direct; and you may avoid that too, with an If. I knew when seven justices could not take up a quarrel, but when the parties were met themselves, one of them thought but of an If, as, 'If you said so, then I said so;' and they shook hands and swore brothers. Your If is the only peacemaker; much virtue in If. JAQUES Is not this a rare fellow, my lord? he's as good at any thing and yet a fool. DUKE SENIOR He uses his folly like a stalking-horse and under the presentation of that he shoots his wit. [Enter HYMEN, ROSALIND, and CELIA] [Still Music] HYMEN Then is there mirth in heaven, When earthly things made even Atone together. Good duke, receive thy daughter Hymen from heaven brought her, Yea, brought her hither, That thou mightst join her hand with his Whose heart within his bosom is. ROSALIND [To DUKE SENIOR] To you I give myself, for I am yours. [To ORLANDO] To you I give myself, for I am yours. DUKE SENIOR If there be truth in sight, you are my daughter. ORLANDO If there be truth in sight, you are my Rosalind. PHEBE If sight and shape be true, Why then, my love adieu! ROSALIND I'll have no father, if you be not he: I'll have no husband, if you be not he: Nor ne'er wed woman, if you be not she. HYMEN Peace, ho! I bar confusion: 'Tis I must make conclusion Of these most strange events: Here's eight that must take hands To join in Hymen's bands, If truth holds true contents. You and you no cross shall part: You and you are heart in heart You to his love must accord, Or have a woman to your lord: You and you are sure together, As the winter to foul weather. Whiles a wedlock-hymn we sing, Feed yourselves with questioning; That reason wonder may diminish, How thus we met, and these things finish. SONG. Wedding is great Juno's crown: O blessed bond of board and bed! 'Tis Hymen peoples every town; High wedlock then be honoured: Honour, high honour and renown, To Hymen, god of every town! DUKE SENIOR O my dear niece, welcome thou art to me! Even daughter, welcome, in no less degree. PHEBE I will not eat my word, now thou art mine; Thy faith my fancy to thee doth combine. [Enter JAQUES DE BOYS] JAQUES DE BOYS Let me have audience for a word or two: I am the second son of old Sir Rowland, That bring these tidings to this fair assembly. Duke Frederick, hearing how that every day Men of great worth resorted to this forest, Address'd a mighty power; which were on foot, In his own conduct, purposely to take His brother here and put him to the sword: And to the skirts of this wild wood he came; Where meeting with an old religious man, After some question with him, was converted Both from his enterprise and from the world, His crown bequeathing to his banish'd brother, And all their lands restored to them again That were with him exiled. This to be true, I do engage my life. DUKE SENIOR Welcome, young man; Thou offer'st fairly to thy brothers' wedding: To one his lands withheld, and to the other A land itself at large, a potent dukedom. First, in this forest, let us do those ends That here were well begun and well begot: And after, every of this happy number That have endured shrewd days and nights with us Shall share the good of our returned fortune, According to the measure of their states. Meantime, forget this new-fall'n dignity And fall into our rustic revelry. Play, music! And you, brides and bridegrooms all, With measure heap'd in joy, to the measures fall. JAQUES Sir, by your patience. If I heard you rightly, The duke hath put on a religious life And thrown into neglect the pompous court? JAQUES DE BOYS He hath. JAQUES To him will I : out of these convertites There is much matter to be heard and learn'd. [To DUKE SENIOR] You to your former honour I bequeath; Your patience and your virtue well deserves it: [To ORLANDO] You to a love that your true faith doth merit: [To OLIVER] You to your land and love and great allies: [To SILVIUS] You to a long and well-deserved bed: [To TOUCHSTONE] And you to wrangling; for thy loving voyage Is but for two months victuall'd. So, to your pleasures: I am for other than for dancing measures. DUKE SENIOR Stay, Jaques, stay. JAQUES To see no pastime I what you would have I'll stay to know at your abandon'd cave. [Exit] DUKE SENIOR Proceed, proceed: we will begin these rites, As we do trust they'll end, in true delights. [A dance] AS YOU LIKE IT EPILOGUE ROSALIND It is not the fashion to see the lady the epilogue; but it is no more unhandsome than to see the lord the prologue. If it be true that good wine needs no bush, 'tis true that a good play needs no epilogue; yet to good wine they do use good bushes, and good plays prove the better by the help of good epilogues. What a case am I in then, that am neither a good epilogue nor cannot insinuate with you in the behalf of a good play! I am not furnished like a beggar, therefore to beg will not become me: my way is to conjure you; and I'll begin with the women. I charge you, O women, for the love you bear to men, to like as much of this play as please you: and I charge you, O men, for the love you bear to women--as I perceive by your simpering, none of you hates them--that between you and the women the play may please. If I were a woman I would kiss as many of you as had beards that pleased me, complexions that liked me and breaths that I defied not: and, I am sure, as many as have good beards or good faces or sweet breaths will, for my kind offer, when I make curtsy, bid me farewell. [Exeunt] IO-Compress-Brotli-0.019/brotli/tests/testdata/lcet10.txt0000644000175000017500000150140214606651216021331 0ustar timtim The Project Gutenberg Etext of LOC WORKSHOP ON ELECTRONIC TEXTS WORKSHOP ON ELECTRONIC TEXTS PROCEEDINGS Edited by James Daly 9-10 June 1992 Library of Congress Washington, D.C. Supported by a Grant from the David and Lucile Packard Foundation *** *** *** ****** *** *** *** TABLE OF CONTENTS Acknowledgements Introduction Proceedings Welcome Prosser Gifford and Carl Fleischhauer Session I. Content in a New Form: Who Will Use It and What Will They Do? James Daly (Moderator) Avra Michelson, Overview Susan H. Veccia, User Evaluation Joanne Freeman, Beyond the Scholar Discussion Session II. Show and Tell Jacqueline Hess (Moderator) Elli Mylonas, Perseus Project Discussion Eric M. Calaluca, Patrologia Latina Database Carl Fleischhauer and Ricky Erway, American Memory Discussion Dorothy Twohig, The Papers of George Washington Discussion Maria L. Lebron, The Online Journal of Current Clinical Trials Discussion Lynne K. Personius, Cornell mathematics books Discussion Session III. Distribution, Networks, and Networking: Options for Dissemination Robert G. Zich (Moderator) Clifford A. Lynch Discussion Howard Besser Discussion Ronald L. Larsen Edwin B. Brownrigg Discussion Session IV. Image Capture, Text Capture, Overview of Text and Image Storage Formats William L. Hooton (Moderator) A) Principal Methods for Image Capture of Text: direct scanning, use of microform Anne R. Kenney Pamela Q.J. Andre Judith A. Zidar Donald J. Waters Discussion B) Special Problems: bound volumes, conservation, reproducing printed halftones George Thoma Carl Fleischhauer Discussion C) Image Standards and Implications for Preservation Jean Baronas Patricia Battin Discussion D) Text Conversion: OCR vs. rekeying, standards of accuracy and use of imperfect texts, service bureaus Michael Lesk Ricky Erway Judith A. Zidar Discussion Session V. Approaches to Preparing Electronic Texts Susan Hockey (Moderator) Stuart Weibel Discussion C.M. Sperberg-McQueen Discussion Eric M. Calaluca Discussion Session VI. Copyright Issues Marybeth Peters Session VII. Conclusion Prosser Gifford (Moderator) General discussion Appendix I: Program Appendix II: Abstracts Appendix III: Directory of Participants *** *** *** ****** *** *** *** Acknowledgements I would like to thank Carl Fleischhauer and Prosser Gifford for the opportunity to learn about areas of human activity unknown to me a scant ten months ago, and the David and Lucile Packard Foundation for supporting that opportunity. The help given by others is acknowledged on a separate page. 19 October 1992 *** *** *** ****** *** *** *** INTRODUCTION The Workshop on Electronic Texts (1) drew together representatives of various projects and interest groups to compare ideas, beliefs, experiences, and, in particular, methods of placing and presenting historical textual materials in computerized form. Most attendees gained much in insight and outlook from the event. But the assembly did not form a new nation, or, to put it another way, the diversity of projects and interests was too great to draw the representatives into a cohesive, action-oriented body.(2) Everyone attending the Workshop shared an interest in preserving and providing access to historical texts. But within this broad field the attendees represented a variety of formal, informal, figurative, and literal groups, with many individuals belonging to more than one. These groups may be defined roughly according to the following topics or activities: * Imaging * Searchable coded texts * National and international computer networks * CD-ROM production and dissemination * Methods and technology for converting older paper materials into electronic form * Study of the use of digital materials by scholars and others This summary is arranged thematically and does not follow the actual sequence of presentations. NOTES: (1) In this document, the phrase electronic text is used to mean any computerized reproduction or version of a document, book, article, or manuscript (including images), and not merely a machine- readable or machine-searchable text. (2) The Workshop was held at the Library of Congress on 9-10 June 1992, with funding from the David and Lucile Packard Foundation. The document that follows represents a summary of the presentations made at the Workshop and was compiled by James DALY. This introduction was written by DALY and Carl FLEISCHHAUER. PRESERVATION AND IMAGING Preservation, as that term is used by archivists,(3) was most explicitly discussed in the context of imaging. Anne KENNEY and Lynne PERSONIUS explained how the concept of a faithful copy and the user-friendliness of the traditional book have guided their project at Cornell University.(4) Although interested in computerized dissemination, participants in the Cornell project are creating digital image sets of older books in the public domain as a source for a fresh paper facsimile or, in a future phase, microfilm. The books returned to the library shelves are high-quality and useful replacements on acid-free paper that should last a long time. To date, the Cornell project has placed little or no emphasis on creating searchable texts; one would not be surprised to find that the project participants view such texts as new editions, and thus not as faithful reproductions. In her talk on preservation, Patricia BATTIN struck an ecumenical and flexible note as she endorsed the creation and dissemination of a variety of types of digital copies. Do not be too narrow in defining what counts as a preservation element, BATTIN counseled; for the present, at least, digital copies made with preservation in mind cannot be as narrowly standardized as, say, microfilm copies with the same objective. Setting standards precipitously can inhibit creativity, but delay can result in chaos, she advised. In part, BATTIN's position reflected the unsettled nature of image-format standards, and attendees could hear echoes of this unsettledness in the comments of various speakers. For example, Jean BARONAS reviewed the status of several formal standards moving through committees of experts; and Clifford LYNCH encouraged the use of a new guideline for transmitting document images on Internet. Testimony from participants in the National Agricultural Library's (NAL) Text Digitization Program and LC's American Memory project highlighted some of the challenges to the actual creation or interchange of images, including difficulties in converting preservation microfilm to digital form. Donald WATERS reported on the progress of a master plan for a project at Yale University to convert books on microfilm to digital image sets, Project Open Book (POB). The Workshop offered rather less of an imaging practicum than planned, but "how-to" hints emerge at various points, for example, throughout KENNEY's presentation and in the discussion of arcana such as thresholding and dithering offered by George THOMA and FLEISCHHAUER. NOTES: (3) Although there is a sense in which any reproductions of historical materials preserve the human record, specialists in the field have developed particular guidelines for the creation of acceptable preservation copies. (4) Titles and affiliations of presenters are given at the beginning of their respective talks and in the Directory of Participants (Appendix III). THE MACHINE-READABLE TEXT: MARKUP AND USE The sections of the Workshop that dealt with machine-readable text tended to be more concerned with access and use than with preservation, at least in the narrow technical sense. Michael SPERBERG-McQUEEN made a forceful presentation on the Text Encoding Initiative's (TEI) implementation of the Standard Generalized Markup Language (SGML). His ideas were echoed by Susan HOCKEY, Elli MYLONAS, and Stuart WEIBEL. While the presentations made by the TEI advocates contained no practicum, their discussion focused on the value of the finished product, what the European Community calls reusability, but what may also be termed durability. They argued that marking up--that is, coding--a text in a well-conceived way will permit it to be moved from one computer environment to another, as well as to be used by various users. Two kinds of markup were distinguished: 1) procedural markup, which describes the features of a text (e.g., dots on a page), and 2) descriptive markup, which describes the structure or elements of a document (e.g., chapters, paragraphs, and front matter). The TEI proponents emphasized the importance of texts to scholarship. They explained how heavily coded (and thus analyzed and annotated) texts can underlie research, play a role in scholarly communication, and facilitate classroom teaching. SPERBERG-McQUEEN reminded listeners that a written or printed item (e.g., a particular edition of a book) is merely a representation of the abstraction we call a text. To concern ourselves with faithfully reproducing a printed instance of the text, SPERBERG-McQUEEN argued, is to concern ourselves with the representation of a representation ("images as simulacra for the text"). The TEI proponents' interest in images tends to focus on corollary materials for use in teaching, for example, photographs of the Acropolis to accompany a Greek text. By the end of the Workshop, SPERBERG-McQUEEN confessed to having been converted to a limited extent to the view that electronic images constitute a promising alternative to microfilming; indeed, an alternative probably superior to microfilming. But he was not convinced that electronic images constitute a serious attempt to represent text in electronic form. HOCKEY and MYLONAS also conceded that their experience at the Pierce Symposium the previous week at Georgetown University and the present conference at the Library of Congress had compelled them to reevaluate their perspective on the usefulness of text as images. Attendees could see that the text and image advocates were in constructive tension, so to say. Three nonTEI presentations described approaches to preparing machine-readable text that are less rigorous and thus less expensive. In the case of the Papers of George Washington, Dorothy TWOHIG explained that the digital version will provide a not-quite-perfect rendering of the transcribed text--some 135,000 documents, available for research during the decades while the perfect or print version is completed. Members of the American Memory team and the staff of NAL's Text Digitization Program (see below) also outlined a middle ground concerning searchable texts. In the case of American Memory, contractors produce texts with about 99-percent accuracy that serve as "browse" or "reference" versions of written or printed originals. End users who need faithful copies or perfect renditions must refer to accompanying sets of digital facsimile images or consult copies of the originals in a nearby library or archive. American Memory staff argued that the high cost of producing 100-percent accurate copies would prevent LC from offering access to large parts of its collections. THE MACHINE-READABLE TEXT: METHODS OF CONVERSION Although the Workshop did not include a systematic examination of the methods for converting texts from paper (or from facsimile images) into machine-readable form, nevertheless, various speakers touched upon this matter. For example, WEIBEL reported that OCLC has experimented with a merging of multiple optical character recognition systems that will reduce errors from an unacceptable rate of 5 characters out of every l,000 to an unacceptable rate of 2 characters out of every l,000. Pamela ANDRE presented an overview of NAL's Text Digitization Program and Judith ZIDAR discussed the technical details. ZIDAR explained how NAL purchased hardware and software capable of performing optical character recognition (OCR) and text conversion and used its own staff to convert texts. The process, ZIDAR said, required extensive editing and project staff found themselves considering alternatives, including rekeying and/or creating abstracts or summaries of texts. NAL reckoned costs at $7 per page. By way of contrast, Ricky ERWAY explained that American Memory had decided from the start to contract out conversion to external service bureaus. The criteria used to select these contractors were cost and quality of results, as opposed to methods of conversion. ERWAY noted that historical documents or books often do not lend themselves to OCR. Bound materials represent a special problem. In her experience, quality control--inspecting incoming materials, counting errors in samples--posed the most time-consuming aspect of contracting out conversion. ERWAY reckoned American Memory's costs at $4 per page, but cautioned that fewer cost-elements had been included than in NAL's figure. OPTIONS FOR DISSEMINATION The topic of dissemination proper emerged at various points during the Workshop. At the session devoted to national and international computer networks, LYNCH, Howard BESSER, Ronald LARSEN, and Edwin BROWNRIGG highlighted the virtues of Internet today and of the network that will evolve from Internet. Listeners could discern in these narratives a vision of an information democracy in which millions of citizens freely find and use what they need. LYNCH noted that a lack of standards inhibits disseminating multimedia on the network, a topic also discussed by BESSER. LARSEN addressed the issues of network scalability and modularity and commented upon the difficulty of anticipating the effects of growth in orders of magnitude. BROWNRIGG talked about the ability of packet radio to provide certain links in a network without the need for wiring. However, the presenters also called attention to the shortcomings and incongruities of present-day computer networks. For example: 1) Network use is growing dramatically, but much network traffic consists of personal communication (E-mail). 2) Large bodies of information are available, but a user's ability to search across their entirety is limited. 3) There are significant resources for science and technology, but few network sources provide content in the humanities. 4) Machine-readable texts are commonplace, but the capability of the system to deal with images (let alone other media formats) lags behind. A glimpse of a multimedia future for networks, however, was provided by Maria LEBRON in her overview of the Online Journal of Current Clinical Trials (OJCCT), and the process of scholarly publishing on-line. The contrasting form of the CD-ROM disk was never systematically analyzed, but attendees could glean an impression from several of the show-and-tell presentations. The Perseus and American Memory examples demonstrated recently published disks, while the descriptions of the IBYCUS version of the Papers of George Washington and Chadwyck-Healey's Patrologia Latina Database (PLD) told of disks to come. According to Eric CALALUCA, PLD's principal focus has been on converting Jacques-Paul Migne's definitive collection of Latin texts to machine-readable form. Although everyone could share the network advocates' enthusiasm for an on-line future, the possibility of rolling up one's sleeves for a session with a CD-ROM containing both textual materials and a powerful retrieval engine made the disk seem an appealing vessel indeed. The overall discussion suggested that the transition from CD-ROM to on-line networked access may prove far slower and more difficult than has been anticipated. WHO ARE THE USERS AND WHAT DO THEY DO? Although concerned with the technicalities of production, the Workshop never lost sight of the purposes and uses of electronic versions of textual materials. As noted above, those interested in imaging discussed the problematical matter of digital preservation, while the TEI proponents described how machine-readable texts can be used in research. This latter topic received thorough treatment in the paper read by Avra MICHELSON. She placed the phenomenon of electronic texts within the context of broader trends in information technology and scholarly communication. Among other things, MICHELSON described on-line conferences that represent a vigorous and important intellectual forum for certain disciplines. Internet now carries more than 700 conferences, with about 80 percent of these devoted to topics in the social sciences and the humanities. Other scholars use on-line networks for "distance learning." Meanwhile, there has been a tremendous growth in end-user computing; professors today are less likely than their predecessors to ask the campus computer center to process their data. Electronic texts are one key to these sophisticated applications, MICHELSON reported, and more and more scholars in the humanities now work in an on-line environment. Toward the end of the Workshop, Michael LESK presented a corollary to MICHELSON's talk, reporting the results of an experiment that compared the work of one group of chemistry students using traditional printed texts and two groups using electronic sources. The experiment demonstrated that in the event one does not know what to read, one needs the electronic systems; the electronic systems hold no advantage at the moment if one knows what to read, but neither do they impose a penalty. DALY provided an anecdotal account of the revolutionizing impact of the new technology on his previous methods of research in the field of classics. His account, by extrapolation, served to illustrate in part the arguments made by MICHELSON concerning the positive effects of the sudden and radical transformation being wrought in the ways scholars work. Susan VECCIA and Joanne FREEMAN delineated the use of electronic materials outside the university. The most interesting aspect of their use, FREEMAN said, could be seen as a paradox: teachers in elementary and secondary schools requested access to primary source materials but, at the same time, found that "primariness" itself made these materials difficult for their students to use. OTHER TOPICS Marybeth PETERS reviewed copyright law in the United States and offered advice during a lively discussion of this subject. But uncertainty remains concerning the price of copyright in a digital medium, because a solution remains to be worked out concerning management and synthesis of copyrighted and out-of-copyright pieces of a database. As moderator of the final session of the Workshop, Prosser GIFFORD directed discussion to future courses of action and the potential role of LC in advancing them. Among the recommendations that emerged were the following: * Workshop participants should 1) begin to think about working with image material, but structure and digitize it in such a way that at a later stage it can be interpreted into text, and 2) find a common way to build text and images together so that they can be used jointly at some stage in the future, with appropriate network support, because that is how users will want to access these materials. The Library might encourage attempts to bring together people who are working on texts and images. * A network version of American Memory should be developed or consideration should be given to making the data in it available to people interested in doing network multimedia. Given the current dearth of digital data that is appealing and unencumbered by extremely complex rights problems, developing a network version of American Memory could do much to help make network multimedia a reality. * Concerning the thorny issue of electronic deposit, LC should initiate a catalytic process in terms of distributed responsibility, that is, bring together the distributed organizations and set up a study group to look at all the issues related to electronic deposit and see where we as a nation should move. For example, LC might attempt to persuade one major library in each state to deal with its state equivalent publisher, which might produce a cooperative project that would be equitably distributed around the country, and one in which LC would be dealing with a minimal number of publishers and minimal copyright problems. LC must also deal with the concept of on-line publishing, determining, among other things, how serials such as OJCCT might be deposited for copyright. * Since a number of projects are planning to carry out preservation by creating digital images that will end up in on-line or near-line storage at some institution, LC might play a helpful role, at least in the near term, by accelerating how to catalog that information into the Research Library Information Network (RLIN) and then into OCLC, so that it would be accessible. This would reduce the possibility of multiple institutions digitizing the same work. CONCLUSION The Workshop was valuable because it brought together partisans from various groups and provided an occasion to compare goals and methods. The more committed partisans frequently communicate with others in their groups, but less often across group boundaries. The Workshop was also valuable to attendees--including those involved with American Memory--who came less committed to particular approaches or concepts. These attendees learned a great deal, and plan to select and employ elements of imaging, text-coding, and networked distribution that suit their respective projects and purposes. Still, reality rears its ugly head: no breakthrough has been achieved. On the imaging side, one confronts a proliferation of competing data-interchange standards and a lack of consensus on the role of digital facsimiles in preservation. In the realm of machine-readable texts, one encounters a reasonably mature standard but methodological difficulties and high costs. These latter problems, of course, represent a special impediment to the desire, as it is sometimes expressed in the popular press, "to put the [contents of the] Library of Congress on line." In the words of one participant, there was "no solution to the economic problems--the projects that are out there are surviving, but it is going to be a lot of work to transform the information industry, and so far the investment to do that is not forthcoming" (LESK, per litteras). *** *** *** ****** *** *** *** PROCEEDINGS WELCOME +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ GIFFORD * Origin of Workshop in current Librarian's desire to make LC's collections more widely available * Desiderata arising from the prospect of greater interconnectedness * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ After welcoming participants on behalf of the Library of Congress, American Memory (AM), and the National Demonstration Lab, Prosser GIFFORD, director for scholarly programs, Library of Congress, located the origin of the Workshop on Electronic Texts in a conversation he had had considerably more than a year ago with Carl FLEISCHHAUER concerning some of the issues faced by AM. On the assumption that numerous other people were asking the same questions, the decision was made to bring together as many of these people as possible to ask the same questions together. In a deeper sense, GIFFORD said, the origin of the Workshop lay in the desire of the current Librarian of Congress, James H. Billington, to make the collections of the Library, especially those offering unique or unusual testimony on aspects of the American experience, available to a much wider circle of users than those few people who can come to Washington to use them. This meant that the emphasis of AM, from the outset, has been on archival collections of the basic material, and on making these collections themselves available, rather than selected or heavily edited products. From AM's emphasis followed the questions with which the Workshop began: who will use these materials, and in what form will they wish to use them. But an even larger issue deserving mention, in GIFFORD's view, was the phenomenal growth in Internet connectivity. He expressed the hope that the prospect of greater interconnectedness than ever before would lead to: 1) much more cooperative and mutually supportive endeavors; 2) development of systems of shared and distributed responsibilities to avoid duplication and to ensure accuracy and preservation of unique materials; and 3) agreement on the necessary standards and development of the appropriate directories and indices to make navigation straightforward among the varied resources that are, and increasingly will be, available. In this connection, GIFFORD requested that participants reflect from the outset upon the sorts of outcomes they thought the Workshop might have. Did those present constitute a group with sufficient common interests to propose a next step or next steps, and if so, what might those be? They would return to these questions the following afternoon. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ FLEISCHHAUER * Core of Workshop concerns preparation and production of materials * Special challenge in conversion of textual materials * Quality versus quantity * Do the several groups represented share common interests? * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Carl FLEISCHHAUER, coordinator, American Memory, Library of Congress, emphasized that he would attempt to represent the people who perform some of the work of converting or preparing materials and that the core of the Workshop had to do with preparation and production. FLEISCHHAUER then drew a distinction between the long term, when many things would be available and connected in the ways that GIFFORD described, and the short term, in which AM not only has wrestled with the issue of what is the best course to pursue but also has faced a variety of technical challenges. FLEISCHHAUER remarked AM's endeavors to deal with a wide range of library formats, such as motion picture collections, sound-recording collections, and pictorial collections of various sorts, especially collections of photographs. In the course of these efforts, AM kept coming back to textual materials--manuscripts or rare printed matter, bound materials, etc. Text posed the greatest conversion challenge of all. Thus, the genesis of the Workshop, which reflects the problems faced by AM. These problems include physical problems. For example, those in the library and archive business deal with collections made up of fragile and rare manuscript items, bound materials, especially the notoriously brittle bound materials of the late nineteenth century. These are precious cultural artifacts, however, as well as interesting sources of information, and LC desires to retain and conserve them. AM needs to handle things without damaging them. Guillotining a book to run it through a sheet feeder must be avoided at all costs. Beyond physical problems, issues pertaining to quality arose. For example, the desire to provide users with a searchable text is affected by the question of acceptable level of accuracy. One hundred percent accuracy is tremendously expensive. On the other hand, the output of optical character recognition (OCR) can be tremendously inaccurate. Although AM has attempted to find a middle ground, uncertainty persists as to whether or not it has discovered the right solution. Questions of quality arose concerning images as well. FLEISCHHAUER contrasted the extremely high level of quality of the digital images in the Cornell Xerox Project with AM's efforts to provide a browse-quality or access-quality image, as opposed to an archival or preservation image. FLEISCHHAUER therefore welcomed the opportunity to compare notes. FLEISCHHAUER observed in passing that conversations he had had about networks have begun to signal that for various forms of media a determination may be made that there is a browse-quality item, or a distribution-and-access-quality item that may coexist in some systems with a higher quality archival item that would be inconvenient to send through the network because of its size. FLEISCHHAUER referred, of course, to images more than to searchable text. As AM considered those questions, several conceptual issues arose: ought AM occasionally to reproduce materials entirely through an image set, at other times, entirely through a text set, and in some cases, a mix? There probably would be times when the historical authenticity of an artifact would require that its image be used. An image might be desirable as a recourse for users if one could not provide 100-percent accurate text. Again, AM wondered, as a practical matter, if a distinction could be drawn between rare printed matter that might exist in multiple collections--that is, in ten or fifteen libraries. In such cases, the need for perfect reproduction would be less than for unique items. Implicit in his remarks, FLEISCHHAUER conceded, was the admission that AM has been tilting strongly towards quantity and drawing back a little from perfect quality. That is, it seemed to AM that society would be better served if more things were distributed by LC--even if they were not quite perfect--than if fewer things, perfectly represented, were distributed. This was stated as a proposition to be tested, with responses to be gathered from users. In thinking about issues related to reproduction of materials and seeing other people engaged in parallel activities, AM deemed it useful to convene a conference. Hence, the Workshop. FLEISCHHAUER thereupon surveyed the several groups represented: 1) the world of images (image users and image makers); 2) the world of text and scholarship and, within this group, those concerned with language--FLEISCHHAUER confessed to finding delightful irony in the fact that some of the most advanced thinkers on computerized texts are those dealing with ancient Greek and Roman materials; 3) the network world; and 4) the general world of library science, which includes people interested in preservation and cataloging. FLEISCHHAUER concluded his remarks with special thanks to the David and Lucile Packard Foundation for its support of the meeting, the American Memory group, the Office for Scholarly Programs, the National Demonstration Lab, and the Office of Special Events. He expressed the hope that David Woodley Packard might be able to attend, noting that Packard's work and the work of the foundation had sponsored a number of projects in the text area. ****** SESSION I. CONTENT IN A NEW FORM: WHO WILL USE IT AND WHAT WILL THEY DO? +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DALY * Acknowledgements * A new Latin authors disk * Effects of the new technology on previous methods of research * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Serving as moderator, James DALY acknowledged the generosity of all the presenters for giving of their time, counsel, and patience in planning the Workshop, as well as of members of the American Memory project and other Library of Congress staff, and the David and Lucile Packard Foundation and its executive director, Colburn S. Wilbur. DALY then recounted his visit in March to the Center for Electronic Texts in the Humanities (CETH) and the Department of Classics at Rutgers University, where an old friend, Lowell Edmunds, introduced him to the department's IBYCUS scholarly personal computer, and, in particular, the new Latin CD-ROM, containing, among other things, almost all classical Latin literary texts through A.D. 200. Packard Humanities Institute (PHI), Los Altos, California, released this disk late in 1991, with a nominal triennial licensing fee. Playing with the disk for an hour or so at Rutgers brought home to DALY at once the revolutionizing impact of the new technology on his previous methods of research. Had this disk been available two or three years earlier, DALY contended, when he was engaged in preparing a commentary on Book 10 of Virgil's Aeneid for Cambridge University Press, he would not have required a forty-eight-square-foot table on which to spread the numerous, most frequently consulted items, including some ten or twelve concordances to key Latin authors, an almost equal number of lexica to authors who lacked concordances, and where either lexica or concordances were lacking, numerous editions of authors antedating and postdating Virgil. Nor, when checking each of the average six to seven words contained in the Virgilian hexameter for its usage elsewhere in Virgil's works or other Latin authors, would DALY have had to maintain the laborious mechanical process of flipping through these concordances, lexica, and editions each time. Nor would he have had to frequent as often the Milton S. Eisenhower Library at the Johns Hopkins University to consult the Thesaurus Linguae Latinae. Instead of devoting countless hours, or the bulk of his research time, to gathering data concerning Virgil's use of words, DALY--now freed by PHI's Latin authors disk from the tyrannical, yet in some ways paradoxically happy scholarly drudgery-- would have been able to devote that same bulk of time to analyzing and interpreting Virgilian verbal usage. Citing Theodore Brunner, Gregory Crane, Elli MYLONAS, and Avra MICHELSON, DALY argued that this reversal in his style of work, made possible by the new technology, would perhaps have resulted in better, more productive research. Indeed, even in the course of his browsing the Latin authors disk at Rutgers, its powerful search, retrieval, and highlighting capabilities suggested to him several new avenues of research into Virgil's use of sound effects. This anecdotal account, DALY maintained, may serve to illustrate in part the sudden and radical transformation being wrought in the ways scholars work. ****** ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ MICHELSON * Elements related to scholarship and technology * Electronic texts within the context of broader trends within information technology and scholarly communication * Evaluation of the prospects for the use of electronic texts * Relationship of electronic texts to processes of scholarly communication in humanities research * New exchange formats created by scholars * Projects initiated to increase scholarly access to converted text * Trend toward making electronic resources available through research and education networks * Changes taking place in scholarly communication among humanities scholars * Network-mediated scholarship transforming traditional scholarly practices * Key information technology trends affecting the conduct of scholarly communication over the next decade * The trend toward end-user computing * The trend toward greater connectivity * Effects of these trends * Key transformations taking place * Summary of principal arguments * ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Avra MICHELSON, Archival Research and Evaluation Staff, National Archives and Records Administration (NARA), argued that establishing who will use electronic texts and what they will use them for involves a consideration of both information technology and scholarship trends. This consideration includes several elements related to scholarship and technology: 1) the key trends in information technology that are most relevant to scholarship; 2) the key trends in the use of currently available technology by scholars in the nonscientific community; and 3) the relationship between these two very distinct but interrelated trends. The investment in understanding this relationship being made by information providers, technologists, and public policy developers, as well as by scholars themselves, seems to be pervasive and growing, MICHELSON contended. She drew on collaborative work with Jeff Rothenberg on the scholarly use of technology. MICHELSON sought to place the phenomenon of electronic texts within the context of broader trends within information technology and scholarly communication. She argued that electronic texts are of most use to researchers to the extent that the researchers' working context (i.e., their relevant bibliographic sources, collegial feedback, analytic tools, notes, drafts, etc.), along with their field's primary and secondary sources, also is accessible in electronic form and can be integrated in ways that are unique to the on-line environment. Evaluation of the prospects for the use of electronic texts includes two elements: 1) an examination of the ways in which researchers currently are using electronic texts along with other electronic resources, and 2) an analysis of key information technology trends that are affecting the long-term conduct of scholarly communication. MICHELSON limited her discussion of the use of electronic texts to the practices of humanists and noted that the scientific community was outside the panel's overview. MICHELSON examined the nature of the current relationship of electronic texts in particular, and electronic resources in general, to what she maintained were, essentially, five processes of scholarly communication in humanities research. Researchers 1) identify sources, 2) communicate with their colleagues, 3) interpret and analyze data, 4) disseminate their research findings, and 5) prepare curricula to instruct the next generation of scholars and students. This examination would produce a clearer understanding of the synergy among these five processes that fuels the tendency of the use of electronic resources for one process to stimulate its use for other processes of scholarly communication. For the first process of scholarly communication, the identification of sources, MICHELSON remarked the opportunity scholars now enjoy to supplement traditional word-of-mouth searches for sources among their colleagues with new forms of electronic searching. So, for example, instead of having to visit the library, researchers are able to explore descriptions of holdings in their offices. Furthermore, if their own institutions' holdings prove insufficient, scholars can access more than 200 major American library catalogues over Internet, including the universities of California, Michigan, Pennsylvania, and Wisconsin. Direct access to the bibliographic databases offers intellectual empowerment to scholars by presenting a comprehensive means of browsing through libraries from their homes and offices at their convenience. The second process of communication involves communication among scholars. Beyond the most common methods of communication, scholars are using E-mail and a variety of new electronic communications formats derived from it for further academic interchange. E-mail exchanges are growing at an astonishing rate, reportedly 15 percent a month. They currently constitute approximately half the traffic on research and education networks. Moreover, the global spread of E-mail has been so rapid that it is now possible for American scholars to use it to communicate with colleagues in close to 140 other countries. Other new exchange formats created by scholars and operating on Internet include more than 700 conferences, with about 80 percent of these devoted to topics in the social sciences and humanities. The rate of growth of these scholarly electronic conferences also is astonishing. From l990 to l991, 200 new conferences were identified on Internet. From October 1991 to June 1992, an additional 150 conferences in the social sciences and humanities were added to this directory of listings. Scholars have established conferences in virtually every field, within every different discipline. For example, there are currently close to 600 active social science and humanities conferences on topics such as art and architecture, ethnomusicology, folklore, Japanese culture, medical education, and gifted and talented education. The appeal to scholars of communicating through these conferences is that, unlike any other medium, electronic conferences today provide a forum for global communication with peers at the front end of the research process. Interpretation and analysis of sources constitutes the third process of scholarly communication that MICHELSON discussed in terms of texts and textual resources. The methods used to analyze sources fall somewhere on a continuum from quantitative analysis to qualitative analysis. Typically, evidence is culled and evaluated using methods drawn from both ends of this continuum. At one end, quantitative analysis involves the use of mathematical processes such as a count of frequencies and distributions of occurrences or, on a higher level, regression analysis. At the other end of the continuum, qualitative analysis typically involves nonmathematical processes oriented toward language interpretation or the building of theory. Aspects of this work involve the processing--either manual or computational--of large and sometimes massive amounts of textual sources, although the use of nontextual sources as evidence, such as photographs, sound recordings, film footage, and artifacts, is significant as well. Scholars have discovered that many of the methods of interpretation and analysis that are related to both quantitative and qualitative methods are processes that can be performed by computers. For example, computers can count. They can count brush strokes used in a Rembrandt painting or perform regression analysis for understanding cause and effect. By means of advanced technologies, computers can recognize patterns, analyze text, and model concepts. Furthermore, computers can complete these processes faster with more sources and with greater precision than scholars who must rely on manual interpretation of data. But if scholars are to use computers for these processes, source materials must be in a form amenable to computer-assisted analysis. For this reason many scholars, once they have identified the sources that are key to their research, are converting them to machine-readable form. Thus, a representative example of the numerous textual conversion projects organized by scholars around the world in recent years to support computational text analysis is the TLG, the Thesaurus Linguae Graecae. This project is devoted to converting the extant ancient texts of classical Greece. (Editor's note: according to the TLG Newsletter of May l992, TLG was in use in thirty-two different countries. This figure updates MICHELSON's previous count by one.) The scholars performing these conversions have been asked to recognize that the electronic sources they are converting for one use possess value for other research purposes as well. As a result, during the past few years, humanities scholars have initiated a number of projects to increase scholarly access to converted text. So, for example, the Text Encoding Initiative (TEI), about which more is said later in the program, was established as an effort by scholars to determine standard elements and methods for encoding machine-readable text for electronic exchange. In a second effort to facilitate the sharing of converted text, scholars have created a new institution, the Center for Electronic Texts in the Humanities (CETH). The center estimates that there are 8,000 series of source texts in the humanities that have been converted to machine-readable form worldwide. CETH is undertaking an international search for converted text in the humanities, compiling it into an electronic library, and preparing bibliographic descriptions of the sources for the Research Libraries Information Network's (RLIN) machine-readable data file. The library profession has begun to initiate large conversion projects as well, such as American Memory. While scholars have been making converted text available to one another, typically on disk or on CD-ROM, the clear trend is toward making these resources available through research and education networks. Thus, the American and French Research on the Treasury of the French Language (ARTFL) and the Dante Project are already available on Internet. MICHELSON summarized this section on interpretation and analysis by noting that: 1) increasing numbers of humanities scholars in the library community are recognizing the importance to the advancement of scholarship of retrospective conversion of source materials in the arts and humanities; and 2) there is a growing realization that making the sources available on research and education networks maximizes their usefulness for the analysis performed by humanities scholars. The fourth process of scholarly communication is dissemination of research findings, that is, publication. Scholars are using existing research and education networks to engineer a new type of publication: scholarly-controlled journals that are electronically produced and disseminated. Although such journals are still emerging as a communication format, their number has grown, from approximately twelve to thirty-six during the past year (July 1991 to June 1992). Most of these electronic scholarly journals are devoted to topics in the humanities. As with network conferences, scholarly enthusiasm for these electronic journals stems from the medium's unique ability to advance scholarship in a way that no other medium can do by supporting global feedback and interchange, practically in real time, early in the research process. Beyond scholarly journals, MICHELSON remarked the delivery of commercial full-text products, such as articles in professional journals, newsletters, magazines, wire services, and reference sources. These are being delivered via on-line local library catalogues, especially through CD-ROMs. Furthermore, according to MICHELSON, there is general optimism that the copyright and fees issues impeding the delivery of full text on existing research and education networks soon will be resolved. The final process of scholarly communication is curriculum development and instruction, and this involves the use of computer information technologies in two areas. The first is the development of computer-oriented instructional tools, which includes simulations, multimedia applications, and computer tools that are used to assist in the analysis of sources in the classroom, etc. The Perseus Project, a database that provides a multimedia curriculum on classical Greek civilization, is a good example of the way in which entire curricula are being recast using information technologies. It is anticipated that the current difficulty in exchanging electronically computer-based instructional software, which in turn makes it difficult for one scholar to build upon the work of others, will be resolved before too long. Stand-alone curricular applications that involve electronic text will be sharable through networks, reinforcing their significance as intellectual products as well as instructional tools. The second aspect of electronic learning involves the use of research and education networks for distance education programs. Such programs interactively link teachers with students in geographically scattered locations and rely on the availability of electronic instructional resources. Distance education programs are gaining wide appeal among state departments of education because of their demonstrated capacity to bring advanced specialized course work and an array of experts to many classrooms. A recent report found that at least 32 states operated at least one statewide network for education in 1991, with networks under development in many of the remaining states. MICHELSON summarized this section by noting two striking changes taking place in scholarly communication among humanities scholars. First is the extent to which electronic text in particular, and electronic resources in general, are being infused into each of the five processes described above. As mentioned earlier, there is a certain synergy at work here. The use of electronic resources for one process tends to stimulate its use for other processes, because the chief course of movement is toward a comprehensive on-line working context for humanities scholars that includes on-line availability of key bibliographies, scholarly feedback, sources, analytical tools, and publications. MICHELSON noted further that the movement toward a comprehensive on-line working context for humanities scholars is not new. In fact, it has been underway for more than forty years in the humanities, since Father Roberto Busa began developing an electronic concordance of the works of Saint Thomas Aquinas in 1949. What we are witnessing today, MICHELSON contended, is not the beginning of this on-line transition but, for at least some humanities scholars, the turning point in the transition from a print to an electronic working context. Coinciding with the on-line transition, the second striking change is the extent to which research and education networks are becoming the new medium of scholarly communication. The existing Internet and the pending National Education and Research Network (NREN) represent the new meeting ground where scholars are going for bibliographic information, scholarly dialogue and feedback, the most current publications in their field, and high-level educational offerings. Traditional scholarly practices are undergoing tremendous transformations as a result of the emergence and growing prominence of what is called network-mediated scholarship. MICHELSON next turned to the second element of the framework she proposed at the outset of her talk for evaluating the prospects for electronic text, namely the key information technology trends affecting the conduct of scholarly communication over the next decade: 1) end-user computing and 2) connectivity. End-user computing means that the person touching the keyboard, or performing computations, is the same as the person who initiates or consumes the computation. The emergence of personal computers, along with a host of other forces, such as ubiquitous computing, advances in interface design, and the on-line transition, is prompting the consumers of computation to do their own computing, and is thus rendering obsolete the traditional distinction between end users and ultimate users. The trend toward end-user computing is significant to consideration of the prospects for electronic texts because it means that researchers are becoming more adept at doing their own computations and, thus, more competent in the use of electronic media. By avoiding programmer intermediaries, computation is becoming central to the researcher's thought process. This direct involvement in computing is changing the researcher's perspective on the nature of research itself, that is, the kinds of questions that can be posed, the analytical methodologies that can be used, the types and amount of sources that are appropriate for analyses, and the form in which findings are presented. The trend toward end-user computing means that, increasingly, electronic media and computation are being infused into all processes of humanities scholarship, inspiring remarkable transformations in scholarly communication. The trend toward greater connectivity suggests that researchers are using computation increasingly in network environments. Connectivity is important to scholarship because it erases the distance that separates students from teachers and scholars from their colleagues, while allowing users to access remote databases, share information in many different media, connect to their working context wherever they are, and collaborate in all phases of research. The combination of the trend toward end-user computing and the trend toward connectivity suggests that the scholarly use of electronic resources, already evident among some researchers, will soon become an established feature of scholarship. The effects of these trends, along with ongoing changes in scholarly practices, point to a future in which humanities researchers will use computation and electronic communication to help them formulate ideas, access sources, perform research, collaborate with colleagues, seek peer review, publish and disseminate results, and engage in many other professional and educational activities. In summary, MICHELSON emphasized four points: 1) A portion of humanities scholars already consider electronic texts the preferred format for analysis and dissemination. 2) Scholars are using these electronic texts, in conjunction with other electronic resources, in all the processes of scholarly communication. 3) The humanities scholars' working context is in the process of changing from print technology to electronic technology, in many ways mirroring transformations that have occurred or are occurring within the scientific community. 4) These changes are occurring in conjunction with the development of a new communication medium: research and education networks that are characterized by their capacity to advance scholarship in a wholly unique way. MICHELSON also reiterated her three principal arguments: l) Electronic texts are best understood in terms of the relationship to other electronic resources and the growing prominence of network-mediated scholarship. 2) The prospects for electronic texts lie in their capacity to be integrated into the on-line network of electronic resources that comprise the new working context for scholars. 3) Retrospective conversion of portions of the scholarly record should be a key strategy as information providers respond to changes in scholarly communication practices. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ VECCIA * AM's evaluation project and public users of electronic resources * AM and its design * Site selection and evaluating the Macintosh implementation of AM * Characteristics of the six public libraries selected * Characteristics of AM's users in these libraries * Principal ways AM is being used * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Susan VECCIA, team leader, and Joanne FREEMAN, associate coordinator, American Memory, Library of Congress, gave a joint presentation. First, by way of introduction, VECCIA explained her and FREEMAN's roles in American Memory (AM). Serving principally as an observer, VECCIA has assisted with the evaluation project of AM, placing AM collections in a variety of different sites around the country and helping to organize and implement that project. FREEMAN has been an associate coordinator of AM and has been involved principally with the interpretative materials, preparing some of the electronic exhibits and printed historical information that accompanies AM and that is requested by users. VECCIA and FREEMAN shared anecdotal observations concerning AM with public users of electronic resources. Notwithstanding a fairly structured evaluation in progress, both VECCIA and FREEMAN chose not to report on specifics in terms of numbers, etc., because they felt it was too early in the evaluation project to do so. AM is an electronic archive of primary source materials from the Library of Congress, selected collections representing a variety of formats-- photographs, graphic arts, recorded sound, motion pictures, broadsides, and soon, pamphlets and books. In terms of the design of this system, the interpretative exhibits have been kept separate from the primary resources, with good reason. Accompanying this collection are printed documentation and user guides, as well as guides that FREEMAN prepared for teachers so that they may begin using the content of the system at once. VECCIA described the evaluation project before talking about the public users of AM, limiting her remarks to public libraries, because FREEMAN would talk more specifically about schools from kindergarten to twelfth grade (K-12). Having started in spring 1991, the evaluation currently involves testing of the Macintosh implementation of AM. Since the primary goal of this evaluation is to determine the most appropriate audience or audiences for AM, very different sites were selected. This makes evaluation difficult because of the varying degrees of technology literacy among the sites. AM is situated in forty-four locations, of which six are public libraries and sixteen are schools. Represented among the schools are elementary, junior high, and high schools. District offices also are involved in the evaluation, which will conclude in summer 1993. VECCIA focused the remainder of her talk on the six public libraries, one of which doubles as a state library. They represent a range of geographic areas and a range of demographic characteristics. For example, three are located in urban settings, two in rural settings, and one in a suburban setting. A range of technical expertise is to be found among these facilities as well. For example, one is an "Apple library of the future," while two others are rural one-room libraries--in one, AM sits at the front desk next to a tractor manual. All public libraries have been extremely enthusiastic, supportive, and appreciative of the work that AM has been doing. VECCIA characterized various users: Most users in public libraries describe themselves as general readers; of the students who use AM in the public libraries, those in fourth grade and above seem most interested. Public libraries in rural sites tend to attract retired people, who have been highly receptive to AM. Users tend to fall into two additional categories: people interested in the content and historical connotations of these primary resources, and those fascinated by the technology. The format receiving the most comments has been motion pictures. The adult users in public libraries are more comfortable with IBM computers, whereas young people seem comfortable with either IBM or Macintosh, although most of them seem to come from a Macintosh background. This same tendency is found in the schools. What kinds of things do users do with AM? In a public library there are two main goals or ways that AM is being used: as an individual learning tool, and as a leisure activity. Adult learning was one area that VECCIA would highlight as a possible application for a tool such as AM. She described a patron of a rural public library who comes in every day on his lunch hour and literally reads AM, methodically going through the collection image by image. At the end of his hour he makes an electronic bookmark, puts it in his pocket, and returns to work. The next day he comes in and resumes where he left off. Interestingly, this man had never been in the library before he used AM. In another small, rural library, the coordinator reports that AM is a popular activity for some of the older, retired people in the community, who ordinarily would not use "those things,"--computers. Another example of adult learning in public libraries is book groups, one of which, in particular, is using AM as part of its reading on industrialization, integration, and urbanization in the early 1900s. One library reports that a family is using AM to help educate their children. In another instance, individuals from a local museum came in to use AM to prepare an exhibit on toys of the past. These two examples emphasize the mission of the public library as a cultural institution, reaching out to people who do not have the same resources available to those who live in a metropolitan area or have access to a major library. One rural library reports that junior high school students in large numbers came in one afternoon to use AM for entertainment. A number of public libraries reported great interest among postcard collectors in the Detroit collection, which was essentially a collection of images used on postcards around the turn of the century. Train buffs are similarly interested because that was a time of great interest in railroading. People, it was found, relate to things that they know of firsthand. For example, in both rural public libraries where AM was made available, observers reported that the older people with personal remembrances of the turn of the century were gravitating to the Detroit collection. These examples served to underscore MICHELSON's observation re the integration of electronic tools and ideas--that people learn best when the material relates to something they know. VECCIA made the final point that in many cases AM serves as a public-relations tool for the public libraries that are testing it. In one case, AM is being used as a vehicle to secure additional funding for the library. In another case, AM has served as an inspiration to the staff of a major local public library in the South to think about ways to make its own collection of photographs more accessible to the public. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ FREEMAN * AM and archival electronic resources in a school environment * Questions concerning context * Questions concerning the electronic format itself * Computer anxiety * Access and availability of the system * Hardware * Strengths gained through the use of archival resources in schools * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Reiterating an observation made by VECCIA, that AM is an archival resource made up of primary materials with very little interpretation, FREEMAN stated that the project has attempted to bridge the gap between these bare primary materials and a school environment, and in that cause has created guided introductions to AM collections. Loud demand from the educational community, chiefly from teachers working with the upper grades of elementary school through high school, greeted the announcement that AM would be tested around the country. FREEMAN reported not only on what was learned about AM in a school environment, but also on several universal questions that were raised concerning archival electronic resources in schools. She discussed several strengths of this type of material in a school environment as opposed to a highly structured resource that offers a limited number of paths to follow. FREEMAN first raised several questions about using AM in a school environment. There is often some difficulty in developing a sense of what the system contains. Many students sit down at a computer resource and assume that, because AM comes from the Library of Congress, all of American history is now at their fingertips. As a result of that sort of mistaken judgment, some students are known to conclude that AM contains nothing of use to them when they look for one or two things and do not find them. It is difficult to discover that middle ground where one has a sense of what the system contains. Some students grope toward the idea of an archive, a new idea to them, since they have not previously experienced what it means to have access to a vast body of somewhat random information. Other questions raised by FREEMAN concerned the electronic format itself. For instance, in a school environment it is often difficult both for teachers and students to gain a sense of what it is they are viewing. They understand that it is a visual image, but they do not necessarily know that it is a postcard from the turn of the century, a panoramic photograph, or even machine-readable text of an eighteenth-century broadside, a twentieth-century printed book, or a nineteenth-century diary. That distinction is often difficult for people in a school environment to grasp. Because of that, it occasionally becomes difficult to draw conclusions from what one is viewing. FREEMAN also noted the obvious fear of the computer, which constitutes a difficulty in using an electronic resource. Though students in general did not suffer from this anxiety, several older students feared that they were computer-illiterate, an assumption that became self-fulfilling when they searched for something but failed to find it. FREEMAN said she believed that some teachers also fear computer resources, because they believe they lack complete control. FREEMAN related the example of teachers shooing away students because it was not their time to use the system. This was a case in which the situation had to be extremely structured so that the teachers would not feel that they had lost their grasp on what the system contained. A final question raised by FREEMAN concerned access and availability of the system. She noted the occasional existence of a gap in communication between school librarians and teachers. Often AM sits in a school library and the librarian is the person responsible for monitoring the system. Teachers do not always take into their world new library resources about which the librarian is excited. Indeed, at the sites where AM had been used most effectively within a library, the librarian was required to go to specific teachers and instruct them in its use. As a result, several AM sites will have in-service sessions over a summer, in the hope that perhaps, with a more individualized link, teachers will be more likely to use the resource. A related issue in the school context concerned the number of workstations available at any one location. Centralization of equipment at the district level, with teachers invited to download things and walk away with them, proved unsuccessful because the hours these offices were open were also school hours. Another issue was hardware. As VECCIA observed, a range of sites exists, some technologically advanced and others essentially acquiring their first computer for the primary purpose of using it in conjunction with AM's testing. Users at technologically sophisticated sites want even more sophisticated hardware, so that they can perform even more sophisticated tasks with the materials in AM. But once they acquire a newer piece of hardware, they must learn how to use that also; at an unsophisticated site it takes an extremely long time simply to become accustomed to the computer, not to mention the program offered with the computer. All of these small issues raise one large question, namely, are systems like AM truly rewarding in a school environment, or do they simply act as innovative toys that do little more than spark interest? FREEMAN contended that the evaluation project has revealed several strengths that were gained through the use of archival resources in schools, including: * Psychic rewards from using AM as a vast, rich database, with teachers assigning various projects to students--oral presentations, written reports, a documentary, a turn-of-the-century newspaper-- projects that start with the materials in AM but are completed using other resources; AM thus is used as a research tool in conjunction with other electronic resources, as well as with books and items in the library where the system is set up. * Students are acquiring computer literacy in a humanities context. * This sort of system is overcoming the isolation between disciplines that often exists in schools. For example, many English teachers are requiring their students to write papers on historical topics represented in AM. Numerous teachers have reported that their students are learning critical thinking skills using the system. * On a broader level, AM is introducing primary materials, not only to students but also to teachers, in an environment where often simply none exist--an exciting thing for the students because it helps them learn to conduct research, to interpret, and to draw their own conclusions. In learning to conduct research and what it means, students are motivated to seek knowledge. That relates to another positive outcome--a high level of personal involvement of students with the materials in this system and greater motivation to conduct their own research and draw their own conclusions. * Perhaps the most ironic strength of these kinds of archival electronic resources is that many of the teachers AM interviewed were desperate, it is no exaggeration to say, not only for primary materials but for unstructured primary materials. These would, they thought, foster personally motivated research, exploration, and excitement in their students. Indeed, these materials have done just that. Ironically, however, this lack of structure produces some of the confusion to which the newness of these kinds of resources may also contribute. The key to effective use of archival products in a school environment is a clear, effective introduction to the system and to what it contains. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Nothing known, quantitatively, about the number of humanities scholars who must see the original versus those who would settle for an edited transcript, or about the ways in which humanities scholars are using information technology * Firm conclusions concerning the manner and extent of the use of supporting materials in print provided by AM to await completion of evaluative study * A listener's reflections on additional applications of electronic texts * Role of electronic resources in teaching elementary research skills to students * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ During the discussion that followed the presentations by MICHELSON, VECCIA, and FREEMAN, additional points emerged. LESK asked if MICHELSON could give any quantitative estimate of the number of humanities scholars who must see or want to see the original, or the best possible version of the material, versus those who typically would settle for an edited transcript. While unable to provide a figure, she offered her impressions as an archivist who has done some reference work and has discussed this issue with other archivists who perform reference, that those who use archives and those who use primary sources for what would be considered very high-level scholarly research, as opposed to, say, undergraduate papers, were few in number, especially given the public interest in using primary sources to conduct genealogical or avocational research and the kind of professional research done by people in private industry or the federal government. More important in MICHELSON's view was that, quantitatively, nothing is known about the ways in which, for example, humanities scholars are using information technology. No studies exist to offer guidance in creating strategies. The most recent study was conducted in 1985 by the American Council of Learned Societies (ACLS), and what it showed was that 50 percent of humanities scholars at that time were using computers. That constitutes the extent of our knowledge. Concerning AM's strategy for orienting people toward the scope of electronic resources, FREEMAN could offer no hard conclusions at this point, because she and her colleagues were still waiting to see, particularly in the schools, what has been made of their efforts. Within the system, however, AM has provided what are called electronic exhibits- -such as introductions to time periods and materials--and these are intended to offer a student user a sense of what a broadside is and what it might tell her or him. But FREEMAN conceded that the project staff would have to talk with students next year, after teachers have had a summer to use the materials, and attempt to discover what the students were learning from the materials. In addition, FREEMAN described supporting materials in print provided by AM at the request of local teachers during a meeting held at LC. These included time lines, bibliographies, and other materials that could be reproduced on a photocopier in a classroom. Teachers could walk away with and use these, and in this way gain a better understanding of the contents. But again, reaching firm conclusions concerning the manner and extent of their use would have to wait until next year. As to the changes she saw occurring at the National Archives and Records Administration (NARA) as a result of the increasing emphasis on technology in scholarly research, MICHELSON stated that NARA at this point was absorbing the report by her and Jeff Rothenberg addressing strategies for the archival profession in general, although not for the National Archives specifically. NARA is just beginning to establish its role and what it can do. In terms of changes and initiatives that NARA can take, no clear response could be given at this time. GREENFIELD remarked two trends mentioned in the session. Reflecting on DALY's opening comments on how he could have used a Latin collection of text in an electronic form, he said that at first he thought most scholars would be unwilling to do that. But as he thought of that in terms of the original meaning of research--that is, having already mastered these texts, researching them for critical and comparative purposes--for the first time, the electronic format made a lot of sense. GREENFIELD could envision growing numbers of scholars learning the new technologies for that very aspect of their scholarship and for convenience's sake. Listening to VECCIA and FREEMAN, GREENFIELD thought of an additional application of electronic texts. He realized that AM could be used as a guide to lead someone to original sources. Students cannot be expected to have mastered these sources, things they have never known about before. Thus, AM is leading them, in theory, to a vast body of information and giving them a superficial overview of it, enabling them to select parts of it. GREENFIELD asked if any evidence exists that this resource will indeed teach the new user, the K-12 students, how to do research. Scholars already know how to do research and are applying these new tools. But he wondered why students would go beyond picking out things that were most exciting to them. FREEMAN conceded the correctness of GREENFIELD's observation as applied to a school environment. The risk is that a student would sit down at a system, play with it, find some things of interest, and then walk away. But in the relatively controlled situation of a school library, much will depend on the instructions a teacher or a librarian gives a student. She viewed the situation not as one of fine-tuning research skills but of involving students at a personal level in understanding and researching things. Given the guidance one can receive at school, it then becomes possible to teach elementary research skills to students, which in fact one particular librarian said she was teaching her fifth graders. FREEMAN concluded that introducing the idea of following one's own path of inquiry, which is essentially what research entails, involves more than teaching specific skills. To these comments VECCIA added the observation that the individual teacher and the use of a creative resource, rather than AM itself, seemed to make the key difference. Some schools and some teachers are making excellent use of the nature of critical thinking and teaching skills, she said. Concurring with these remarks, DALY closed the session with the thought that the more that producers produced for teachers and for scholars to use with their students, the more successful their electronic products would prove. ****** SESSION II. SHOW AND TELL Jacqueline HESS, director, National Demonstration Laboratory, served as moderator of the "show-and-tell" session. She noted that a question-and-answer period would follow each presentation. +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ MYLONAS * Overview and content of Perseus * Perseus' primary materials exist in a system-independent, archival form * A concession * Textual aspects of Perseus * Tools to use with the Greek text * Prepared indices and full-text searches in Perseus * English-Greek word search leads to close study of words and concepts * Navigating Perseus by tracing down indices * Using the iconography to perform research * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Elli MYLONAS, managing editor, Perseus Project, Harvard University, first gave an overview of Perseus, a large, collaborative effort based at Harvard University but with contributors and collaborators located at numerous universities and colleges in the United States (e.g., Bowdoin, Maryland, Pomona, Chicago, Virginia). Funded primarily by the Annenberg/CPB Project, with additional funding from Apple, Harvard, and the Packard Humanities Institute, among others, Perseus is a multimedia, hypertextual database for teaching and research on classical Greek civilization, which was released in February 1992 in version 1.0 and distributed by Yale University Press. Consisting entirely of primary materials, Perseus includes ancient Greek texts and translations of those texts; catalog entries--that is, museum catalog entries, not library catalog entries--on vases, sites, coins, sculpture, and archaeological objects; maps; and a dictionary, among other sources. The number of objects and the objects for which catalog entries exist are accompanied by thousands of color images, which constitute a major feature of the database. Perseus contains approximately 30 megabytes of text, an amount that will double in subsequent versions. In addition to these primary materials, the Perseus Project has been building tools for using them, making access and navigation easier, the goal being to build part of the electronic environment discussed earlier in the morning in which students or scholars can work with their sources. The demonstration of Perseus will show only a fraction of the real work that has gone into it, because the project had to face the dilemma of what to enter when putting something into machine-readable form: should one aim for very high quality or make concessions in order to get the material in? Since Perseus decided to opt for very high quality, all of its primary materials exist in a system-independent--insofar as it is possible to be system-independent--archival form. Deciding what that archival form would be and attaining it required much work and thought. For example, all the texts are marked up in SGML, which will be made compatible with the guidelines of the Text Encoding Initiative (TEI) when they are issued. Drawings are postscript files, not meeting international standards, but at least designed to go across platforms. Images, or rather the real archival forms, consist of the best available slides, which are being digitized. Much of the catalog material exists in database form--a form that the average user could use, manipulate, and display on a personal computer, but only at great cost. Thus, this is where the concession comes in: All of this rich, well-marked-up information is stripped of much of its content; the images are converted into bit-maps and the text into small formatted chunks. All this information can then be imported into HyperCard and run on a mid-range Macintosh, which is what Perseus users have. This fact has made it possible for Perseus to attain wide use fairly rapidly. Without those archival forms the HyperCard version being demonstrated could not be made easily, and the project could not have the potential to move to other forms and machines and software as they appear, none of which information is in Perseus on the CD. Of the numerous multimedia aspects of Perseus, MYLONAS focused on the textual. Part of what makes Perseus such a pleasure to use, MYLONAS said, is this effort at seamless integration and the ability to move around both visual and textual material. Perseus also made the decision not to attempt to interpret its material any more than one interprets by selecting. But, MYLONAS emphasized, Perseus is not courseware: No syllabus exists. There is no effort to define how one teaches a topic using Perseus, although the project may eventually collect papers by people who have used it to teach. Rather, Perseus aims to provide primary material in a kind of electronic library, an electronic sandbox, so to say, in which students and scholars who are working on this material can explore by themselves. With that, MYLONAS demonstrated Perseus, beginning with the Perseus gateway, the first thing one sees upon opening Perseus--an effort in part to solve the contextualizing problem--which tells the user what the system contains. MYLONAS demonstrated only a very small portion, beginning with primary texts and running off the CD-ROM. Having selected Aeschylus' Prometheus Bound, which was viewable in Greek and English pretty much in the same segments together, MYLONAS demonstrated tools to use with the Greek text, something not possible with a book: looking up the dictionary entry form of an unfamiliar word in Greek after subjecting it to Perseus' morphological analysis for all the texts. After finding out about a word, a user may then decide to see if it is used anywhere else in Greek. Because vast amounts of indexing support all of the primary material, one can find out where else all forms of a particular Greek word appear-- often not a trivial matter because Greek is highly inflected. Further, since the story of Prometheus has to do with the origins of sacrifice, a user may wish to study and explore sacrifice in Greek literature; by typing sacrifice into a small window, a user goes to the English-Greek word list--something one cannot do without the computer (Perseus has indexed the definitions of its dictionary)--the string sacrifice appears in the definitions of these sixty-five words. One may then find out where any of those words is used in the work(s) of a particular author. The English definitions are not lemmatized. All of the indices driving this kind of usage were originally devised for speed, MYLONAS observed; in other words, all that kind of information-- all forms of all words, where they exist, the dictionary form they belong to--were collected into databases, which will expedite searching. Then it was discovered that one can do things searching in these databases that could not be done searching in the full texts. Thus, although there are full-text searches in Perseus, much of the work is done behind the scenes, using prepared indices. Re the indexing that is done behind the scenes, MYLONAS pointed out that without the SGML forms of the text, it could not be done effectively. Much of this indexing is based on the structures that are made explicit by the SGML tagging. It was found that one of the things many of Perseus' non-Greek-reading users do is start from the dictionary and then move into the close study of words and concepts via this kind of English-Greek word search, by which means they might select a concept. This exercise has been assigned to students in core courses at Harvard--to study a concept by looking for the English word in the dictionary, finding the Greek words, and then finding the words in the Greek but, of course, reading across in the English. That tells them a great deal about what a translation means as well. Should one also wish to see images that have to do with sacrifice, that person would go to the object key word search, which allows one to perform a similar kind of index retrieval on the database of archaeological objects. Without words, pictures are useless; Perseus has not reached the point where it can do much with images that are not cataloged. Thus, although it is possible in Perseus with text and images to navigate by knowing where one wants to end up--for example, a red-figure vase from the Boston Museum of Fine Arts--one can perform this kind of navigation very easily by tracing down indices. MYLONAS illustrated several generic scenes of sacrifice on vases. The features demonstrated derived from Perseus 1.0; version 2.0 will implement even better means of retrieval. MYLONAS closed by looking at one of the pictures and noting again that one can do a great deal of research using the iconography as well as the texts. For instance, students in a core course at Harvard this year were highly interested in Greek concepts of foreigners and representations of non-Greeks. So they performed a great deal of research, both with texts (e.g., Herodotus) and with iconography on vases and coins, on how the Greeks portrayed non-Greeks. At the same time, art historians who study iconography were also interested, and were able to use this material. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Indexing and searchability of all English words in Perseus * Several features of Perseus 1.0 * Several levels of customization possible * Perseus used for general education * Perseus' effects on education * Contextual information in Perseus * Main challenge and emphasis of Perseus * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Several points emerged in the discussion that followed MYLONAS's presentation. Although MYLONAS had not demonstrated Perseus' ability to cross-search documents, she confirmed that all English words in Perseus are indexed and can be searched. So, for example, sacrifice could have been searched in all texts, the historical essay, and all the catalogue entries with their descriptions--in short, in all of Perseus. Boolean logic is not in Perseus 1.0 but will be added to the next version, although an effort is being made not to restrict Perseus to a database in which one just performs searching, Boolean or otherwise. It is possible to move laterally through the documents by selecting a word one is interested in and selecting an area of information one is interested in and trying to look that word up in that area. Since Perseus was developed in HyperCard, several levels of customization are possible. Simple authoring tools exist that allow one to create annotated paths through the information, which are useful for note-taking and for guided tours for teaching purposes and for expository writing. With a little more ingenuity it is possible to begin to add or substitute material in Perseus. Perseus has not been used so much for classics education as for general education, where it seemed to have an impact on the students in the core course at Harvard (a general required course that students must take in certain areas). Students were able to use primary material much more. The Perseus Project has an evaluation team at the University of Maryland that has been documenting Perseus' effects on education. Perseus is very popular, and anecdotal evidence indicates that it is having an effect at places other than Harvard, for example, test sites at Ball State University, Drury College, and numerous small places where opportunities to use vast amounts of primary data may not exist. One documented effect is that archaeological, anthropological, and philological research is being done by the same person instead of by three different people. The contextual information in Perseus includes an overview essay, a fairly linear historical essay on the fifth century B.C. that provides links into the primary material (e.g., Herodotus, Thucydides, and Plutarch), via small gray underscoring (on the screen) of linked passages. These are handmade links into other material. To different extents, most of the production work was done at Harvard, where the people and the equipment are located. Much of the collaborative activity involved data collection and structuring, because the main challenge and the emphasis of Perseus is the gathering of primary material, that is, building a useful environment for studying classical Greece, collecting data, and making it useful. Systems-building is definitely not the main concern. Thus, much of the work has involved writing essays, collecting information, rewriting it, and tagging it. That can be done off site. The creative link for the overview essay as well as for both systems and data was collaborative, and was forged via E-mail and paper mail with professors at Pomona and Bowdoin. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ CALALUCA * PLD's principal focus and contribution to scholarship * Various questions preparatory to beginning the project * Basis for project * Basic rule in converting PLD * Concerning the images in PLD * Running PLD under a variety of retrieval softwares * Encoding the database a hard-fought issue * Various features demonstrated * Importance of user documentation * Limitations of the CD-ROM version * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Eric CALALUCA, vice president, Chadwyck-Healey, Inc., demonstrated a software interpretation of the Patrologia Latina Database (PLD). PLD's principal focus from the beginning of the project about three-and-a-half years ago was on converting Migne's Latin series, and in the end, CALALUCA suggested, conversion of the text will be the major contribution to scholarship. CALALUCA stressed that, as possibly the only private publishing organization at the Workshop, Chadwyck-Healey had sought no federal funds or national foundation support before embarking upon the project, but instead had relied upon a great deal of homework and marketing to accomplish the task of conversion. Ever since the possibilities of computer-searching have emerged, scholars in the field of late ancient and early medieval studies (philosophers, theologians, classicists, and those studying the history of natural law and the history of the legal development of Western civilization) have been longing for a fully searchable version of Western literature, for example, all the texts of Augustine and Bernard of Clairvaux and Boethius, not to mention all the secondary and tertiary authors. Various questions arose, CALALUCA said. Should one convert Migne? Should the database be encoded? Is it necessary to do that? How should it be delivered? What about CD-ROM? Since this is a transitional medium, why even bother to create software to run on a CD-ROM? Since everybody knows people will be networking information, why go to the trouble--which is far greater with CD-ROM than with the production of magnetic data? Finally, how does one make the data available? Can many of the hurdles to using electronic information that some publishers have imposed upon databases be eliminated? The PLD project was based on the principle that computer-searching of texts is most effective when it is done with a large database. Because PLD represented a collection that serves so many disciplines across so many periods, it was irresistible. The basic rule in converting PLD was to do no harm, to avoid the sins of intrusion in such a database: no introduction of newer editions, no on-the-spot changes, no eradicating of all possible falsehoods from an edition. Thus, PLD is not the final act in electronic publishing for this discipline, but simply the beginning. The conversion of PLD has evoked numerous unanticipated questions: How will information be used? What about networking? Can the rights of a database be protected? Should one protect the rights of a database? How can it be made available? Those converting PLD also tried to avoid the sins of omission, that is, excluding portions of the collections or whole sections. What about the images? PLD is full of images, some are extremely pious nineteenth-century representations of the Fathers, while others contain highly interesting elements. The goal was to cover all the text of Migne (including notes, in Greek and in Hebrew, the latter of which, in particular, causes problems in creating a search structure), all the indices, and even the images, which are being scanned in separately searchable files. Several North American institutions that have placed acquisition requests for the PLD database have requested it in magnetic form without software, which means they are already running it without software, without anything demonstrated at the Workshop. What cannot practically be done is go back and reconvert and re-encode data, a time-consuming and extremely costly enterprise. CALALUCA sees PLD as a database that can, and should, be run under a variety of retrieval softwares. This will permit the widest possible searches. Consequently, the need to produce a CD-ROM of PLD, as well as to develop software that could handle some 1.3 gigabyte of heavily encoded text, developed out of conversations with collection development and reference librarians who wanted software both compassionate enough for the pedestrian but also capable of incorporating the most detailed lexicographical studies that a user desires to conduct. In the end, the encoding and conversion of the data will prove the most enduring testament to the value of the project. The encoding of the database was also a hard-fought issue: Did the database need to be encoded? Were there normative structures for encoding humanist texts? Should it be SGML? What about the TEI--will it last, will it prove useful? CALALUCA expressed some minor doubts as to whether a data bank can be fully TEI-conformant. Every effort can be made, but in the end to be TEI-conformant means to accept the need to make some firm encoding decisions that can, indeed, be disputed. The TEI points the publisher in a proper direction but does not presume to make all the decisions for him or her. Essentially, the goal of encoding was to eliminate, as much as possible, the hindrances to information-networking, so that if an institution acquires a database, everybody associated with the institution can have access to it. CALALUCA demonstrated a portion of Volume 160, because it had the most anomalies in it. The software was created by Electronic Book Technologies of Providence, RI, and is called Dynatext. The software works only with SGML-coded data. Viewing a table of contents on the screen, the audience saw how Dynatext treats each element as a book and attempts to simplify movement through a volume. Familiarity with the Patrologia in print (i.e., the text, its source, and the editions) will make the machine-readable versions highly useful. (Software with a Windows application was sought for PLD, CALALUCA said, because this was the main trend for scholarly use.) CALALUCA also demonstrated how a user can perform a variety of searches and quickly move to any part of a volume; the look-up screen provides some basic, simple word-searching. CALALUCA argued that one of the major difficulties is not the software. Rather, in creating a product that will be used by scholars representing a broad spectrum of computer sophistication, user documentation proves to be the most important service one can provide. CALALUCA next illustrated a truncated search under mysterium within ten words of virtus and how one would be able to find its contents throughout the entire database. He said that the exciting thing about PLD is that many of the applications in the retrieval software being written for it will exceed the capabilities of the software employed now for the CD-ROM version. The CD-ROM faces genuine limitations, in terms of speed and comprehensiveness, in the creation of a retrieval software to run it. CALALUCA said he hoped that individual scholars will download the data, if they wish, to their personal computers, and have ready access to important texts on a constant basis, which they will be able to use in their research and from which they might even be able to publish. (CALALUCA explained that the blue numbers represented Migne's column numbers, which are the standard scholarly references. Pulling up a note, he stated that these texts were heavily edited and the image files would appear simply as a note as well, so that one could quickly access an image.) ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ FLEISCHHAUER/ERWAY * Several problems with which AM is still wrestling * Various search and retrieval capabilities * Illustration of automatic stemming and a truncated search * AM's attempt to find ways to connect cataloging to the texts * AM's gravitation towards SGML * Striking a balance between quantity and quality * How AM furnishes users recourse to images * Conducting a search in a full-text environment * Macintosh and IBM prototypes of AM * Multimedia aspects of AM * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ A demonstration of American Memory by its coordinator, Carl FLEISCHHAUER, and Ricky ERWAY, associate coordinator, Library of Congress, concluded the morning session. Beginning with a collection of broadsides from the Continental Congress and the Constitutional Convention, the only text collection in a presentable form at the time of the Workshop, FLEISCHHAUER highlighted several of the problems with which AM is still wrestling. (In its final form, the disk will contain two collections, not only the broadsides but also the full text with illustrations of a set of approximately 300 African-American pamphlets from the period 1870 to 1910.) As FREEMAN had explained earlier, AM has attempted to use a small amount of interpretation to introduce collections. In the present case, the contractor, a company named Quick Source, in Silver Spring, MD., used software called Toolbook and put together a modestly interactive introduction to the collection. Like the two preceding speakers, FLEISCHHAUER argued that the real asset was the underlying collection. FLEISCHHAUER proceeded to describe various search and retrieval capabilities while ERWAY worked the computer. In this particular package the "go to" pull-down allowed the user in effect to jump out of Toolbook, where the interactive program was located, and enter the third-party software used by AM for this text collection, which is called Personal Librarian. This was the Windows version of Personal Librarian, a software application put together by a company in Rockville, Md. Since the broadsides came from the Revolutionary War period, a search was conducted using the words British or war, with the default operator reset as or. FLEISCHHAUER demonstrated both automatic stemming (which finds other forms of the same root) and a truncated search. One of Personal Librarian's strongest features, the relevance ranking, was represented by a chart that indicated how often words being sought appeared in documents, with the one receiving the most "hits" obtaining the highest score. The "hit list" that is supplied takes the relevance ranking into account, making the first hit, in effect, the one the software has selected as the most relevant example. While in the text of one of the broadside documents, FLEISCHHAUER remarked AM's attempt to find ways to connect cataloging to the texts, which it does in different ways in different manifestations. In the case shown, the cataloging was pasted on: AM took MARC records that were written as on-line records right into one of the Library's mainframe retrieval programs, pulled them out, and handed them off to the contractor, who massaged them somewhat to display them in the manner shown. One of AM's questions is, Does the cataloguing normally performed in the mainframe work in this context, or had AM ought to think through adjustments? FLEISCHHAUER made the additional point that, as far as the text goes, AM has gravitated towards SGML (he pointed to the boldface in the upper part of the screen). Although extremely limited in its ability to translate or interpret SGML, Personal Librarian will furnish both bold and italics on screen; a fairly easy thing to do, but it is one of the ways in which SGML is useful. Striking a balance between quantity and quality has been a major concern of AM, with accuracy being one of the places where project staff have felt that less than 100-percent accuracy was not unacceptable. FLEISCHHAUER cited the example of the standard of the rekeying industry, namely 99.95 percent; as one service bureau informed him, to go from 99.95 to 100 percent would double the cost. FLEISCHHAUER next demonstrated how AM furnishes users recourse to images, and at the same time recalled LESK's pointed question concerning the number of people who would look at those images and the number who would work only with the text. If the implication of LESK's question was sound, FLEISCHHAUER said, it raised the stakes for text accuracy and reduced the value of the strategy for images. Contending that preservation is always a bugaboo, FLEISCHHAUER demonstrated several images derived from a scan of a preservation microfilm that AM had made. He awarded a grade of C at best, perhaps a C minus or a C plus, for how well it worked out. Indeed, the matter of learning if other people had better ideas about scanning in general, and, in particular, scanning from microfilm, was one of the factors that drove AM to attempt to think through the agenda for the Workshop. Skew, for example, was one of the issues that AM in its ignorance had not reckoned would prove so difficult. Further, the handling of images of the sort shown, in a desktop computer environment, involved a considerable amount of zooming and scrolling. Ultimately, AM staff feel that perhaps the paper copy that is printed out might be the most useful one, but they remain uncertain as to how much on-screen reading users will do. Returning to the text, FLEISCHHAUER asked viewers to imagine a person who might be conducting a search in a full-text environment. With this scenario, he proceeded to illustrate other features of Personal Librarian that he considered helpful; for example, it provides the ability to notice words as one reads. Clicking the "include" button on the bottom of the search window pops the words that have been highlighted into the search. Thus, a user can refine the search as he or she reads, re-executing the search and continuing to find things in the quest for materials. This software not only contains relevance ranking, Boolean operators, and truncation, it also permits one to perform word algebra, so to say, where one puts two or three words in parentheses and links them with one Boolean operator and then a couple of words in another set of parentheses and asks for things within so many words of others. Until they became acquainted recently with some of the work being done in classics, the AM staff had not realized that a large number of the projects that involve electronic texts were being done by people with a profound interest in language and linguistics. Their search strategies and thinking are oriented to those fields, as is shown in particular by the Perseus example. As amateur historians, the AM staff were thinking more of searching for concepts and ideas than for particular words. Obviously, FLEISCHHAUER conceded, searching for concepts and ideas and searching for words may be two rather closely related things. While displaying several images, FLEISCHHAUER observed that the Macintosh prototype built by AM contains a greater diversity of formats. Echoing a previous speaker, he said that it was easier to stitch things together in the Macintosh, though it tended to be a little more anemic in search and retrieval. AM, therefore, increasingly has been investigating sophisticated retrieval engines in the IBM format. FLEISCHHAUER demonstrated several additional examples of the prototype interfaces: One was AM's metaphor for the network future, in which a kind of reading-room graphic suggests how one would be able to go around to different materials. AM contains a large number of photographs in analog video form worked up from a videodisc, which enable users to make copies to print or incorporate in digital documents. A frame-grabber is built into the system, making it possible to bring an image into a window and digitize or print it out. FLEISCHHAUER next demonstrated sound recording, which included texts. Recycled from a previous project, the collection included sixty 78-rpm phonograph records of political speeches that were made during and immediately after World War I. These constituted approximately three hours of audio, as AM has digitized it, which occupy 150 megabytes on a CD. Thus, they are considerably compressed. From the catalogue card, FLEISCHHAUER proceeded to a transcript of a speech with the audio available and with highlighted text following it as it played. A photograph has been added and a transcription made. Considerable value has been added beyond what the Library of Congress normally would do in cataloguing a sound recording, which raises several questions for AM concerning where to draw lines about how much value it can afford to add and at what point, perhaps, this becomes more than AM could reasonably do or reasonably wish to do. FLEISCHHAUER also demonstrated a motion picture. As FREEMAN had reported earlier, the motion picture materials have proved the most popular, not surprisingly. This says more about the medium, he thought, than about AM's presentation of it. Because AM's goal was to bring together things that could be used by historians or by people who were curious about history, turn-of-the-century footage seemed to represent the most appropriate collections from the Library of Congress in motion pictures. These were the very first films made by Thomas Edison's company and some others at that time. The particular example illustrated was a Biograph film, brought in with a frame-grabber into a window. A single videodisc contains about fifty titles and pieces of film from that period, all of New York City. Taken together, AM believes, they provide an interesting documentary resource. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Using the frame-grabber in AM * Volume of material processed and to be processed * Purpose of AM within LC * Cataloguing and the nature of AM's material * SGML coding and the question of quality versus quantity * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ During the question-and-answer period that followed FLEISCHHAUER's presentation, several clarifications were made. AM is bringing in motion pictures from a videodisc. The frame-grabber devices create a window on a computer screen, which permits users to digitize a single frame of the movie or one of the photographs. It produces a crude, rough-and-ready image that high school students can incorporate into papers, and that has worked very nicely in this way. Commenting on FLEISCHHAUER's assertion that AM was looking more at searching ideas than words, MYLONAS argued that without words an idea does not exist. FLEISCHHAUER conceded that he ought to have articulated his point more clearly. MYLONAS stated that they were in fact both talking about the same thing. By searching for words and by forcing people to focus on the word, the Perseus Project felt that they would get them to the idea. The way one reviews results is tailored more to one kind of user than another. Concerning the total volume of material that has been processed in this way, AM at this point has in retrievable form seven or eight collections, all of them photographic. In the Macintosh environment, for example, there probably are 35,000-40,000 photographs. The sound recordings number sixty items. The broadsides number about 300 items. There are 500 political cartoons in the form of drawings. The motion pictures, as individual items, number sixty to seventy. AM also has a manuscript collection, the life history portion of one of the federal project series, which will contain 2,900 individual documents, all first-person narratives. AM has in process about 350 African-American pamphlets, or about 12,000 printed pages for the period 1870-1910. Also in the works are some 4,000 panoramic photographs. AM has recycled a fair amount of the work done by LC's Prints and Photographs Division during the Library's optical disk pilot project in the 1980s. For example, a special division of LC has tooled up and thought through all the ramifications of electronic presentation of photographs. Indeed, they are wheeling them out in great barrel loads. The purpose of AM within the Library, it is hoped, is to catalyze several of the other special collection divisions which have no particular experience with, in some cases, mixed feelings about, an activity such as AM. Moreover, in many cases the divisions may be characterized as not only lacking experience in "electronifying" things but also in automated cataloguing. MARC cataloguing as practiced in the United States is heavily weighted toward the description of monograph and serial materials, but is much thinner when one enters the world of manuscripts and things that are held in the Library's music collection and other units. In response to a comment by LESK, that AM's material is very heavily photographic, and is so primarily because individual records have been made for each photograph, FLEISCHHAUER observed that an item-level catalog record exists, for example, for each photograph in the Detroit Publishing collection of 25,000 pictures. In the case of the Federal Writers Project, for which nearly 3,000 documents exist, representing information from twenty-six different states, AM with the assistance of Karen STUART of the Manuscript Division will attempt to find some way not only to have a collection-level record but perhaps a MARC record for each state, which will then serve as an umbrella for the 100-200 documents that come under it. But that drama remains to be enacted. The AM staff is conservative and clings to cataloguing, though of course visitors tout artificial intelligence and neural networks in a manner that suggests that perhaps one need not have cataloguing or that much of it could be put aside. The matter of SGML coding, FLEISCHHAUER conceded, returned the discussion to the earlier treated question of quality versus quantity in the Library of Congress. Of course, text conversion can be done with 100-percent accuracy, but it means that when one's holdings are as vast as LC's only a tiny amount will be exposed, whereas permitting lower levels of accuracy can lead to exposing or sharing larger amounts, but with the quality correspondingly impaired. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ TWOHIG * A contrary experience concerning electronic options * Volume of material in the Washington papers and a suggestion of David Packard * Implications of Packard's suggestion * Transcribing the documents for the CD-ROM * Accuracy of transcriptions * The CD-ROM edition of the Founding Fathers documents * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Finding encouragement in a comment of MICHELSON's from the morning session--that numerous people in the humanities were choosing electronic options to do their work--Dorothy TWOHIG, editor, The Papers of George Washington, opened her illustrated talk by noting that her experience with literary scholars and numerous people in editing was contrary to MICHELSON's. TWOHIG emphasized literary scholars' complete ignorance of the technological options available to them or their reluctance or, in some cases, their downright hostility toward these options. After providing an overview of the five Founding Fathers projects (Jefferson at Princeton, Franklin at Yale, John Adams at the Massachusetts Historical Society, and Madison down the hall from her at the University of Virginia), TWOHIG observed that the Washington papers, like all of the projects, include both sides of the Washington correspondence and deal with some 135,000 documents to be published with extensive annotation in eighty to eighty-five volumes, a project that will not be completed until well into the next century. Thus, it was with considerable enthusiasm several years ago that the Washington Papers Project (WPP) greeted David Packard's suggestion that the papers of the Founding Fathers could be published easily and inexpensively, and to the great benefit of American scholarship, via CD-ROM. In pragmatic terms, funding from the Packard Foundation would expedite the transcription of thousands of documents waiting to be put on disk in the WPP offices. Further, since the costs of collecting, editing, and converting the Founding Fathers documents into letterpress editions were running into the millions of dollars, and the considerable staffs involved in all of these projects were devoting their careers to producing the work, the Packard Foundation's suggestion had a revolutionary aspect: Transcriptions of the entire corpus of the Founding Fathers papers would be available on CD-ROM to public and college libraries, even high schools, at a fraction of the cost-- $100-$150 for the annual license fee--to produce a limited university press run of 1,000 of each volume of the published papers at $45-$150 per printed volume. Given the current budget crunch in educational systems and the corresponding constraints on librarians in smaller institutions who wish to add these volumes to their collections, producing the documents on CD-ROM would likely open a greatly expanded audience for the papers. TWOHIG stressed, however, that development of the Founding Fathers CD-ROM is still in its infancy. Serious software problems remain to be resolved before the material can be put into readable form. Funding from the Packard Foundation resulted in a major push to transcribe the 75,000 or so documents of the Washington papers remaining to be transcribed onto computer disks. Slides illustrated several of the problems encountered, for example, the present inability of CD-ROM to indicate the cross-outs (deleted material) in eighteenth century documents. TWOHIG next described documents from various periods in the eighteenth century that have been transcribed in chronological order and delivered to the Packard offices in California, where they are converted to the CD-ROM, a process that is expected to consume five years to complete (that is, reckoning from David Packard's suggestion made several years ago, until about July 1994). TWOHIG found an encouraging indication of the project's benefits in the ongoing use made by scholars of the search functions of the CD-ROM, particularly in reducing the time spent in manually turning the pages of the Washington papers. TWOHIG next furnished details concerning the accuracy of transcriptions. For instance, the insertion of thousands of documents on the CD-ROM currently does not permit each document to be verified against the original manuscript several times as in the case of documents that appear in the published edition. However, the transcriptions receive a cursory check for obvious typos, the misspellings of proper names, and other errors from the WPP CD-ROM editor. Eventually, all documents that appear in the electronic version will be checked by project editors. Although this process has met with opposition from some of the editors on the grounds that imperfect work may leave their offices, the advantages in making this material available as a research tool outweigh fears about the misspelling of proper names and other relatively minor editorial matters. Completion of all five Founding Fathers projects (i.e., retrievability and searchability of all of the documents by proper names, alternate spellings, or varieties of subjects) will provide one of the richest sources of this size for the history of the United States in the latter part of the eighteenth century. Further, publication on CD-ROM will allow editors to include even minutiae, such as laundry lists, not included in the printed volumes. It seems possible that the extensive annotation provided in the printed volumes eventually will be added to the CD-ROM edition, pending negotiations with the publishers of the papers. At the moment, the Founding Fathers CD-ROM is accessible only on the IBYCUS, a computer developed out of the Thesaurus Linguae Graecae project and designed for the use of classical scholars. There are perhaps 400 IBYCUS computers in the country, most of which are in university classics departments. Ultimately, it is anticipated that the CD-ROM edition of the Founding Fathers documents will run on any IBM-compatible or Macintosh computer with a CD-ROM drive. Numerous changes in the software will also occur before the project is completed. (Editor's note: an IBYCUS was unavailable to demonstrate the CD-ROM.) ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Several additional features of WPP clarified * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Discussion following TWOHIG's presentation served to clarify several additional features, including (1) that the project's primary intellectual product consists in the electronic transcription of the material; (2) that the text transmitted to the CD-ROM people is not marked up; (3) that cataloging and subject-indexing of the material remain to be worked out (though at this point material can be retrieved by name); and (4) that because all the searching is done in the hardware, the IBYCUS is designed to read a CD-ROM which contains only sequential text files. Technically, it then becomes very easy to read the material off and put it on another device. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ LEBRON * Overview of the history of the joint project between AAAS and OCLC * Several practices the on-line environment shares with traditional publishing on hard copy * Several technical and behavioral barriers to electronic publishing * How AAAS and OCLC arrived at the subject of clinical trials * Advantages of the electronic format and other features of OJCCT * An illustrated tour of the journal * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Maria LEBRON, managing editor, The Online Journal of Current Clinical Trials (OJCCT), presented an illustrated overview of the history of the joint project between the American Association for the Advancement of Science (AAAS) and the Online Computer Library Center, Inc. (OCLC). The joint venture between AAAS and OCLC owes its beginning to a reorganization launched by the new chief executive officer at OCLC about three years ago and combines the strengths of these two disparate organizations. In short, OJCCT represents the process of scholarly publishing on line. LEBRON next discussed several practices the on-line environment shares with traditional publishing on hard copy--for example, peer review of manuscripts--that are highly important in the academic world. LEBRON noted in particular the implications of citation counts for tenure committees and grants committees. In the traditional hard-copy environment, citation counts are readily demonstrable, whereas the on-line environment represents an ethereal medium to most academics. LEBRON remarked several technical and behavioral barriers to electronic publishing, for instance, the problems in transmission created by special characters or by complex graphics and halftones. In addition, she noted economic limitations such as the storage costs of maintaining back issues and market or audience education. Manuscripts cannot be uploaded to OJCCT, LEBRON explained, because it is not a bulletin board or E-mail, forms of electronic transmission of information that have created an ambience clouding people's understanding of what the journal is attempting to do. OJCCT, which publishes peer-reviewed medical articles dealing with the subject of clinical trials, includes text, tabular material, and graphics, although at this time it can transmit only line illustrations. Next, LEBRON described how AAAS and OCLC arrived at the subject of clinical trials: It is 1) a highly statistical discipline that 2) does not require halftones but can satisfy the needs of its audience with line illustrations and graphic material, and 3) there is a need for the speedy dissemination of high-quality research results. Clinical trials are research activities that involve the administration of a test treatment to some experimental unit in order to test its usefulness before it is made available to the general population. LEBRON proceeded to give additional information on OJCCT concerning its editor-in-chief, editorial board, editorial content, and the types of articles it publishes (including peer-reviewed research reports and reviews), as well as features shared by other traditional hard-copy journals. Among the advantages of the electronic format are faster dissemination of information, including raw data, and the absence of space constraints because pages do not exist. (This latter fact creates an interesting situation when it comes to citations.) Nor are there any issues. AAAS's capacity to download materials directly from the journal to a subscriber's printer, hard drive, or floppy disk helps ensure highly accurate transcription. Other features of OJCCT include on-screen alerts that allow linkage of subsequently published documents to the original documents; on-line searching by subject, author, title, etc.; indexing of every single word that appears in an article; viewing access to an article by component (abstract, full text, or graphs); numbered paragraphs to replace page counts; publication in Science every thirty days of indexing of all articles published in the journal; typeset-quality screens; and Hypertext links that enable subscribers to bring up Medline abstracts directly without leaving the journal. After detailing the two primary ways to gain access to the journal, through the OCLC network and Compuserv if one desires graphics or through the Internet if just an ASCII file is desired, LEBRON illustrated the speedy editorial process and the coding of the document using SGML tags after it has been accepted for publication. She also gave an illustrated tour of the journal, its search-and-retrieval capabilities in particular, but also including problems associated with scanning in illustrations, and the importance of on-screen alerts to the medical profession re retractions or corrections, or more frequently, editorials, letters to the editors, or follow-up reports. She closed by inviting the audience to join AAAS on 1 July, when OJCCT was scheduled to go on-line. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Additional features of OJCCT * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ In the lengthy discussion that followed LEBRON's presentation, these points emerged: * The SGML text can be tailored as users wish. * All these articles have a fairly simple document definition. * Document-type definitions (DTDs) were developed and given to OJCCT for coding. * No articles will be removed from the journal. (Because there are no back issues, there are no lost issues either. Once a subscriber logs onto the journal he or she has access not only to the currently published materials, but retrospectively to everything that has been published in it. Thus the table of contents grows bigger. The date of publication serves to distinguish between currently published materials and older materials.) * The pricing system for the journal resembles that for most medical journals: for 1992, $95 for a year, plus telecommunications charges (there are no connect time charges); for 1993, $110 for the entire year for single users, though the journal can be put on a local area network (LAN). However, only one person can access the journal at a time. Site licenses may come in the future. * AAAS is working closely with colleagues at OCLC to display mathematical equations on screen. * Without compromising any steps in the editorial process, the technology has reduced the time lag between when a manuscript is originally submitted and the time it is accepted; the review process does not differ greatly from the standard six-to-eight weeks employed by many of the hard-copy journals. The process still depends on people. * As far as a preservation copy is concerned, articles will be maintained on the computer permanently and subscribers, as part of their subscription, will receive a microfiche-quality archival copy of everything published during that year; in addition, reprints can be purchased in much the same way as in a hard-copy environment. Hard copies are prepared but are not the primary medium for the dissemination of the information. * Because OJCCT is not yet on line, it is difficult to know how many people would simply browse through the journal on the screen as opposed to downloading the whole thing and printing it out; a mix of both types of users likely will result. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ PERSONIUS * Developments in technology over the past decade * The CLASS Project * Advantages for technology and for the CLASS Project * Developing a network application an underlying assumption of the project * Details of the scanning process * Print-on-demand copies of books * Future plans include development of a browsing tool * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Lynne PERSONIUS, assistant director, Cornell Information Technologies for Scholarly Information Services, Cornell University, first commented on the tremendous impact that developments in technology over the past ten years--networking, in particular--have had on the way information is handled, and how, in her own case, these developments have counterbalanced Cornell's relative geographical isolation. Other significant technologies include scanners, which are much more sophisticated than they were ten years ago; mass storage and the dramatic savings that result from it in terms of both space and money relative to twenty or thirty years ago; new and improved printing technologies, which have greatly affected the distribution of information; and, of course, digital technologies, whose applicability to library preservation remains at issue. Given that context, PERSONIUS described the College Library Access and Storage System (CLASS) Project, a library preservation project, primarily, and what has been accomplished. Directly funded by the Commission on Preservation and Access and by the Xerox Corporation, which has provided a significant amount of hardware, the CLASS Project has been working with a development team at Xerox to develop a software application tailored to library preservation requirements. Within Cornell, participants in the project have been working jointly with both library and information technologies. The focus of the project has been on reformatting and saving books that are in brittle condition. PERSONIUS showed Workshop participants a brittle book, and described how such books were the result of developments in papermaking around the beginning of the Industrial Revolution. The papermaking process was changed so that a significant amount of acid was introduced into the actual paper itself, which deteriorates as it sits on library shelves. One of the advantages for technology and for the CLASS Project is that the information in brittle books is mostly out of copyright and thus offers an opportunity to work with material that requires library preservation, and to create and work on an infrastructure to save the material. Acknowledging the familiarity of those working in preservation with this information, PERSONIUS noted that several things are being done: the primary preservation technology used today is photocopying of brittle material. Saving the intellectual content of the material is the main goal. With microfilm copy, the intellectual content is preserved on the assumption that in the future the image can be reformatted in any other way that then exists. An underlying assumption of the CLASS Project from the beginning was that it would develop a network application. Project staff scan books at a workstation located in the library, near the brittle material. An image-server filing system is located at a distance from that workstation, and a printer is located in another building. All of the materials digitized and stored on the image-filing system are cataloged in the on-line catalogue. In fact, a record for each of these electronic books is stored in the RLIN database so that a record exists of what is in the digital library throughout standard catalogue procedures. In the future, researchers working from their own workstations in their offices, or their networks, will have access--wherever they might be--through a request server being built into the new digital library. A second assumption is that the preferred means of finding the material will be by looking through a catalogue. PERSONIUS described the scanning process, which uses a prototype scanner being developed by Xerox and which scans a very high resolution image at great speed. Another significant feature, because this is a preservation application, is the placing of the pages that fall apart one for one on the platen. Ordinarily, a scanner could be used with some sort of a document feeder, but because of this application that is not feasible. Further, because CLASS is a preservation application, after the paper replacement is made there, a very careful quality control check is performed. An original book is compared to the printed copy and verification is made, before proceeding, that all of the image, all of the information, has been captured. Then, a new library book is produced: The printed images are rebound by a commercial binder and a new book is returned to the shelf. Significantly, the books returned to the library shelves are beautiful and useful replacements on acid-free paper that should last a long time, in effect, the equivalent of preservation photocopies. Thus, the project has a library of digital books. In essence, CLASS is scanning and storing books as 600 dot-per-inch bit-mapped images, compressed using Group 4 CCITT (i.e., the French acronym for International Consultative Committee for Telegraph and Telephone) compression. They are stored as TIFF files on an optical filing system that is composed of a database used for searching and locating the books and an optical jukebox that stores 64 twelve-inch platters. A very-high-resolution printed copy of these books at 600 dots per inch is created, using a Xerox DocuTech printer to make the paper replacements on acid-free paper. PERSONIUS maintained that the CLASS Project presents an opportunity to introduce people to books as digital images by using a paper medium. Books are returned to the shelves while people are also given the ability to print on demand--to make their own copies of books. (PERSONIUS distributed copies of an engineering journal published by engineering students at Cornell around 1900 as an example of what a print-on-demand copy of material might be like. This very cheap copy would be available to people to use for their own research purposes and would bridge the gap between an electronic work and the paper that readers like to have.) PERSONIUS then attempted to illustrate a very early prototype of networked access to this digital library. Xerox Corporation has developed a prototype of a view station that can send images across the network to be viewed. The particular library brought down for demonstration contained two mathematics books. CLASS is developing and will spend the next year developing an application that allows people at workstations to browse the books. Thus, CLASS is developing a browsing tool, on the assumption that users do not want to read an entire book from a workstation, but would prefer to be able to look through and decide if they would like to have a printed copy of it. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Re retrieval software * "Digital file copyright" * Scanning rate during production * Autosegmentation * Criteria employed in selecting books for scanning * Compression and decompression of images * OCR not precluded * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ During the question-and-answer period that followed her presentation, PERSONIUS made these additional points: * Re retrieval software, Cornell is developing a Unix-based server as well as clients for the server that support multiple platforms (Macintosh, IBM and Sun workstations), in the hope that people from any of those platforms will retrieve books; a further operating assumption is that standard interfaces will be used as much as possible, where standards can be put in place, because CLASS considers this retrieval software a library application and would like to be able to look at material not only at Cornell but at other institutions. * The phrase "digital file copyright by Cornell University" was added at the advice of Cornell's legal staff with the caveat that it probably would not hold up in court. Cornell does not want people to copy its books and sell them but would like to keep them available for use in a library environment for library purposes. * In production the scanner can scan about 300 pages per hour, capturing 600 dots per inch. * The Xerox software has filters to scan halftone material and avoid the moire patterns that occur when halftone material is scanned. Xerox has been working on hardware and software that would enable the scanner itself to recognize this situation and deal with it appropriately--a kind of autosegmentation that would enable the scanner to handle halftone material as well as text on a single page. * The books subjected to the elaborate process described above were selected because CLASS is a preservation project, with the first 500 books selected coming from Cornell's mathematics collection, because they were still being heavily used and because, although they were in need of preservation, the mathematics library and the mathematics faculty were uncomfortable having them microfilmed. (They wanted a printed copy.) Thus, these books became a logical choice for this project. Other books were chosen by the project's selection committees for experiments with the technology, as well as to meet a demand or need. * Images will be decompressed before they are sent over the line; at this time they are compressed and sent to the image filing system and then sent to the printer as compressed images; they are returned to the workstation as compressed 600-dpi images and the workstation decompresses and scales them for display--an inefficient way to access the material though it works quite well for printing and other purposes. * CLASS is also decompressing on Macintosh and IBM, a slow process right now. Eventually, compression and decompression will take place on an image conversion server. Trade-offs will be made, based on future performance testing, concerning where the file is compressed and what resolution image is sent. * OCR has not been precluded; images are being stored that have been scanned at a high resolution, which presumably would suit them well to an OCR process. Because the material being scanned is about 100 years old and was printed with less-than-ideal technologies, very early and preliminary tests have not produced good results. But the project is capturing an image that is of sufficient resolution to be subjected to OCR in the future. Moreover, the system architecture and the system plan have a logical place to store an OCR image if it has been captured. But that is not being done now. ****** SESSION III. DISTRIBUTION, NETWORKS, AND NETWORKING: OPTIONS FOR DISSEMINATION +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ZICH * Issues pertaining to CD-ROMs * Options for publishing in CD-ROM * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Robert ZICH, special assistant to the associate librarian for special projects, Library of Congress, and moderator of this session, first noted the blessed but somewhat awkward circumstance of having four very distinguished people representing networks and networking or at least leaning in that direction, while lacking anyone to speak from the strongest possible background in CD-ROMs. ZICH expressed the hope that members of the audience would join the discussion. He stressed the subtitle of this particular session, "Options for Dissemination," and, concerning CD-ROMs, the importance of determining when it would be wise to consider dissemination in CD-ROM versus networks. A shopping list of issues pertaining to CD-ROMs included: the grounds for selecting commercial publishers, and in-house publication where possible versus nonprofit or government publication. A similar list for networks included: determining when one should consider dissemination through a network, identifying the mechanisms or entities that exist to place items on networks, identifying the pool of existing networks, determining how a producer would choose between networks, and identifying the elements of a business arrangement in a network. Options for publishing in CD-ROM: an outside publisher versus self-publication. If an outside publisher is used, it can be nonprofit, such as the Government Printing Office (GPO) or the National Technical Information Service (NTIS), in the case of government. The pros and cons associated with employing an outside publisher are obvious. Among the pros, there is no trouble getting accepted. One pays the bill and, in effect, goes one's way. Among the cons, when one pays an outside publisher to perform the work, that publisher will perform the work it is obliged to do, but perhaps without the production expertise and skill in marketing and dissemination that some would seek. There is the body of commercial publishers that do possess that kind of expertise in distribution and marketing but that obviously are selective. In self-publication, one exercises full control, but then one must handle matters such as distribution and marketing. Such are some of the options for publishing in the case of CD-ROM. In the case of technical and design issues, which are also important, there are many matters which many at the Workshop already knew a good deal about: retrieval system requirements and costs, what to do about images, the various capabilities and platforms, the trade-offs between cost and performance, concerns about local-area networkability, interoperability, etc. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ LYNCH * Creating networked information is different from using networks as an access or dissemination vehicle * Networked multimedia on a large scale does not yet work * Typical CD-ROM publication model a two-edged sword * Publishing information on a CD-ROM in the present world of immature standards * Contrast between CD-ROM and network pricing * Examples demonstrated earlier in the day as a set of insular information gems * Paramount need to link databases * Layering to become increasingly necessary * Project NEEDS and the issues of information reuse and active versus passive use * X-Windows as a way of differentiating between network access and networked information * Barriers to the distribution of networked multimedia information * Need for good, real-time delivery protocols * The question of presentation integrity in client-server computing in the academic world * Recommendations for producing multimedia +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Clifford LYNCH, director, Library Automation, University of California, opened his talk with the general observation that networked information constituted a difficult and elusive topic because it is something just starting to develop and not yet fully understood. LYNCH contended that creating genuinely networked information was different from using networks as an access or dissemination vehicle and was more sophisticated and more subtle. He invited the members of the audience to extrapolate, from what they heard about the preceding demonstration projects, to what sort of a world of electronics information--scholarly, archival, cultural, etc.--they wished to end up with ten or fifteen years from now. LYNCH suggested that to extrapolate directly from these projects would produce unpleasant results. Putting the issue of CD-ROM in perspective before getting into generalities on networked information, LYNCH observed that those engaged in multimedia today who wish to ship a product, so to say, probably do not have much choice except to use CD-ROM: networked multimedia on a large scale basically does not yet work because the technology does not exist. For example, anybody who has tried moving images around over the Internet knows that this is an exciting touch-and-go process, a fascinating and fertile area for experimentation, research, and development, but not something that one can become deeply enthusiastic about committing to production systems at this time. This situation will change, LYNCH said. He differentiated CD-ROM from the practices that have been followed up to now in distributing data on CD-ROM. For LYNCH the problem with CD-ROM is not its portability or its slowness but the two-edged sword of having the retrieval application and the user interface inextricably bound up with the data, which is the typical CD-ROM publication model. It is not a case of publishing data but of distributing a typically stand-alone, typically closed system, all--software, user interface, and data--on a little disk. Hence, all the between-disk navigational issues as well as the impossibility in most cases of integrating data on one disk with that on another. Most CD-ROM retrieval software does not network very gracefully at present. However, in the present world of immature standards and lack of understanding of what network information is or what the ground rules are for creating or using it, publishing information on a CD-ROM does add value in a very real sense. LYNCH drew a contrast between CD-ROM and network pricing and in doing so highlighted something bizarre in information pricing. A large institution such as the University of California has vendors who will offer to sell information on CD-ROM for a price per year in four digits, but for the same data (e.g., an abstracting and indexing database) on magnetic tape, regardless of how many people may use it concurrently, will quote a price in six digits. What is packaged with the CD-ROM in one sense adds value--a complete access system, not just raw, unrefined information--although it is not generally perceived that way. This is because the access software, although it adds value, is viewed by some people, particularly in the university environment where there is a very heavy commitment to networking, as being developed in the wrong direction. Given that context, LYNCH described the examples demonstrated as a set of insular information gems--Perseus, for example, offers nicely linked information, but would be very difficult to integrate with other databases, that is, to link together seamlessly with other source files from other sources. It resembles an island, and in this respect is similar to numerous stand-alone projects that are based on videodiscs, that is, on the single-workstation concept. As scholarship evolves in a network environment, the paramount need will be to link databases. We must link personal databases to public databases, to group databases, in fairly seamless ways--which is extremely difficult in the environments under discussion with copies of databases proliferating all over the place. The notion of layering also struck LYNCH as lurking in several of the projects demonstrated. Several databases in a sense constitute information archives without a significant amount of navigation built in. Educators, critics, and others will want a layered structure--one that defines or links paths through the layers to allow users to reach specific points. In LYNCH's view, layering will become increasingly necessary, and not just within a single resource but across resources (e.g., tracing mythology and cultural themes across several classics databases as well as a database of Renaissance culture). This ability to organize resources, to build things out of multiple other things on the network or select pieces of it, represented for LYNCH one of the key aspects of network information. Contending that information reuse constituted another significant issue, LYNCH commended to the audience's attention Project NEEDS (i.e., National Engineering Education Delivery System). This project's objective is to produce a database of engineering courseware as well as the components that can be used to develop new courseware. In a number of the existing applications, LYNCH said, the issue of reuse (how much one can take apart and reuse in other applications) was not being well considered. He also raised the issue of active versus passive use, one aspect of which is how much information will be manipulated locally by users. Most people, he argued, may do a little browsing and then will wish to print. LYNCH was uncertain how these resources would be used by the vast majority of users in the network environment. LYNCH next said a few words about X-Windows as a way of differentiating between network access and networked information. A number of the applications demonstrated at the Workshop could be rewritten to use X across the network, so that one could run them from any X-capable device- -a workstation, an X terminal--and transact with a database across the network. Although this opens up access a little, assuming one has enough network to handle it, it does not provide an interface to develop a program that conveniently integrates information from multiple databases. X is a viewing technology that has limits. In a real sense, it is just a graphical version of remote log-in across the network. X-type applications represent only one step in the progression towards real access. LYNCH next discussed barriers to the distribution of networked multimedia information. The heart of the problem is a lack of standards to provide the ability for computers to talk to each other, retrieve information, and shuffle it around fairly casually. At the moment, little progress is being made on standards for networked information; for example, present standards do not cover images, digital voice, and digital video. A useful tool kit of exchange formats for basic texts is only now being assembled. The synchronization of content streams (i.e., synchronizing a voice track to a video track, establishing temporal relations between different components in a multimedia object) constitutes another issue for networked multimedia that is just beginning to receive attention. Underlying network protocols also need some work; good, real-time delivery protocols on the Internet do not yet exist. In LYNCH's view, highly important in this context is the notion of networked digital object IDs, the ability of one object on the network to point to another object (or component thereof) on the network. Serious bandwidth issues also exist. LYNCH was uncertain if billion-bit-per-second networks would prove sufficient if numerous people ran video in parallel. LYNCH concluded by offering an issue for database creators to consider, as well as several comments about what might constitute good trial multimedia experiments. In a networked information world the database builder or service builder (publisher) does not exercise the same extensive control over the integrity of the presentation; strange programs "munge" with one's data before the user sees it. Serious thought must be given to what guarantees integrity of presentation. Part of that is related to where one draws the boundaries around a networked information service. This question of presentation integrity in client-server computing has not been stressed enough in the academic world, LYNCH argued, though commercial service providers deal with it regularly. Concerning multimedia, LYNCH observed that good multimedia at the moment is hideously expensive to produce. He recommended producing multimedia with either very high sale value, or multimedia with a very long life span, or multimedia that will have a very broad usage base and whose costs therefore can be amortized among large numbers of users. In this connection, historical and humanistically oriented material may be a good place to start, because it tends to have a longer life span than much of the scientific material, as well as a wider user base. LYNCH noted, for example, that American Memory fits many of the criteria outlined. He remarked the extensive discussion about bringing the Internet or the National Research and Education Network (NREN) into the K-12 environment as a way of helping the American educational system. LYNCH closed by noting that the kinds of applications demonstrated struck him as excellent justifications of broad-scale networking for K-12, but that at this time no "killer" application exists to mobilize the K-12 community to obtain connectivity. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Dearth of genuinely interesting applications on the network a slow-changing situation * The issue of the integrity of presentation in a networked environment * Several reasons why CD-ROM software does not network * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ During the discussion period that followed LYNCH's presentation, several additional points were made. LYNCH reiterated even more strongly his contention that, historically, once one goes outside high-end science and the group of those who need access to supercomputers, there is a great dearth of genuinely interesting applications on the network. He saw this situation changing slowly, with some of the scientific databases and scholarly discussion groups and electronic journals coming on as well as with the availability of Wide Area Information Servers (WAIS) and some of the databases that are being mounted there. However, many of those things do not seem to have piqued great popular interest. For instance, most high school students of LYNCH's acquaintance would not qualify as devotees of serious molecular biology. Concerning the issue of the integrity of presentation, LYNCH believed that a couple of information providers have laid down the law at least on certain things. For example, his recollection was that the National Library of Medicine feels strongly that one needs to employ the identifier field if he or she is to mount a database commercially. The problem with a real networked environment is that one does not know who is reformatting and reprocessing one's data when one enters a client server mode. It becomes anybody's guess, for example, if the network uses a Z39.50 server, or what clients are doing with one's data. A data provider can say that his contract will only permit clients to have access to his data after he vets them and their presentation and makes certain it suits him. But LYNCH held out little expectation that the network marketplace would evolve in that way, because it required too much prior negotiation. CD-ROM software does not network for a variety of reasons, LYNCH said. He speculated that CD-ROM publishers are not eager to have their products really hook into wide area networks, because they fear it will make their data suppliers nervous. Moreover, until relatively recently, one had to be rather adroit to run a full TCP/IP stack plus applications on a PC-size machine, whereas nowadays it is becoming easier as PCs grow bigger and faster. LYNCH also speculated that software providers had not heard from their customers until the last year or so, or had not heard from enough of their customers. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ BESSER * Implications of disseminating images on the network; planning the distribution of multimedia documents poses two critical implementation problems * Layered approach represents the way to deal with users' capabilities * Problems in platform design; file size and its implications for networking * Transmission of megabyte size images impractical * Compression and decompression at the user's end * Promising trends for compression * A disadvantage of using X-Windows * A project at the Smithsonian that mounts images on several networks * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Howard BESSER, School of Library and Information Science, University of Pittsburgh, spoke primarily about multimedia, focusing on images and the broad implications of disseminating them on the network. He argued that planning the distribution of multimedia documents posed two critical implementation problems, which he framed in the form of two questions: 1) What platform will one use and what hardware and software will users have for viewing of the material? and 2) How can one deliver a sufficiently robust set of information in an accessible format in a reasonable amount of time? Depending on whether network or CD-ROM is the medium used, this question raises different issues of storage, compression, and transmission. Concerning the design of platforms (e.g., sound, gray scale, simple color, etc.) and the various capabilities users may have, BESSER maintained that a layered approach was the way to deal with users' capabilities. A result would be that users with less powerful workstations would simply have less functionality. He urged members of the audience to advocate standards and accompanying software that handle layered functionality across a wide variety of platforms. BESSER also addressed problems in platform design, namely, deciding how large a machine to design for situations when the largest number of users have the lowest level of the machine, and one desires higher functionality. BESSER then proceeded to the question of file size and its implications for networking. He discussed still images in the main. For example, a digital color image that fills the screen of a standard mega-pel workstation (Sun or Next) will require one megabyte of storage for an eight-bit image or three megabytes of storage for a true color or twenty-four-bit image. Lossless compression algorithms (that is, computational procedures in which no data is lost in the process of compressing [and decompressing] an image--the exact bit-representation is maintained) might bring storage down to a third of a megabyte per image, but not much further than that. The question of size makes it difficult to fit an appropriately sized set of these images on a single disk or to transmit them quickly enough on a network. With these full screen mega-pel images that constitute a third of a megabyte, one gets 1,000-3,000 full-screen images on a one-gigabyte disk; a standard CD-ROM represents approximately 60 percent of that. Storing images the size of a PC screen (just 8 bit color) increases storage capacity to 4,000-12,000 images per gigabyte; 60 percent of that gives one the size of a CD-ROM, which in turn creates a major problem. One cannot have full-screen, full-color images with lossless compression; one must compress them or use a lower resolution. For megabyte-size images, anything slower than a T-1 speed is impractical. For example, on a fifty-six-kilobaud line, it takes three minutes to transfer a one-megabyte file, if it is not compressed; and this speed assumes ideal circumstances (no other user contending for network bandwidth). Thus, questions of disk access, remote display, and current telephone connection speed make transmission of megabyte-size images impractical. BESSER then discussed ways to deal with these large images, for example, compression and decompression at the user's end. In this connection, the issues of how much one is willing to lose in the compression process and what image quality one needs in the first place are unknown. But what is known is that compression entails some loss of data. BESSER urged that more studies be conducted on image quality in different situations, for example, what kind of images are needed for what kind of disciplines, and what kind of image quality is needed for a browsing tool, an intermediate viewing tool, and archiving. BESSER remarked two promising trends for compression: from a technical perspective, algorithms that use what is called subjective redundancy employ principles from visual psycho-physics to identify and remove information from the image that the human eye cannot perceive; from an interchange and interoperability perspective, the JPEG (i.e., Joint Photographic Experts Group, an ISO standard) compression algorithms also offer promise. These issues of compression and decompression, BESSER argued, resembled those raised earlier concerning the design of different platforms. Gauging the capabilities of potential users constitutes a primary goal. BESSER advocated layering or separating the images from the applications that retrieve and display them, to avoid tying them to particular software. BESSER detailed several lessons learned from his work at Berkeley with Imagequery, especially the advantages and disadvantages of using X-Windows. In the latter category, for example, retrieval is tied directly to one's data, an intolerable situation in the long run on a networked system. Finally, BESSER described a project of Jim Wallace at the Smithsonian Institution, who is mounting images in a extremely rudimentary way on the Compuserv and Genie networks and is preparing to mount them on America On Line. Although the average user takes over thirty minutes to download these images (assuming a fairly fast modem), nevertheless, images have been downloaded 25,000 times. BESSER concluded his talk with several comments on the business arrangement between the Smithsonian and Compuserv. He contended that not enough is known concerning the value of images. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Creating digitized photographic collections nearly impossible except with large organizations like museums * Need for study to determine quality of images users will tolerate * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ During the brief exchange between LESK and BESSER that followed, several clarifications emerged. LESK argued that the photographers were far ahead of BESSER: It is almost impossible to create such digitized photographic collections except with large organizations like museums, because all the photographic agencies have been going crazy about this and will not sign licensing agreements on any sort of reasonable terms. LESK had heard that National Geographic, for example, had tried to buy the right to use some image in some kind of educational production for $100 per image, but the photographers will not touch it. They want accounting and payment for each use, which cannot be accomplished within the system. BESSER responded that a consortium of photographers, headed by a former National Geographic photographer, had started assembling its own collection of electronic reproductions of images, with the money going back to the cooperative. LESK contended that BESSER was unnecessarily pessimistic about multimedia images, because people are accustomed to low-quality images, particularly from video. BESSER urged the launching of a study to determine what users would tolerate, what they would feel comfortable with, and what absolutely is the highest quality they would ever need. Conceding that he had adopted a dire tone in order to arouse people about the issue, BESSER closed on a sanguine note by saying that he would not be in this business if he did not think that things could be accomplished. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ LARSEN * Issues of scalability and modularity * Geometric growth of the Internet and the role played by layering * Basic functions sustaining this growth * A library's roles and functions in a network environment * Effects of implementation of the Z39.50 protocol for information retrieval on the library system * The trade-off between volumes of data and its potential usage * A snapshot of current trends * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Ronald LARSEN, associate director for information technology, University of Maryland at College Park, first addressed the issues of scalability and modularity. He noted the difficulty of anticipating the effects of orders-of-magnitude growth, reflecting on the twenty years of experience with the Arpanet and Internet. Recalling the day's demonstrations of CD-ROM and optical disk material, he went on to ask if the field has yet learned how to scale new systems to enable delivery and dissemination across large-scale networks. LARSEN focused on the geometric growth of the Internet from its inception circa 1969 to the present, and the adjustments required to respond to that rapid growth. To illustrate the issue of scalability, LARSEN considered computer networks as including three generic components: computers, network communication nodes, and communication media. Each component scales (e.g., computers range from PCs to supercomputers; network nodes scale from interface cards in a PC through sophisticated routers and gateways; and communication media range from 2,400-baud dial-up facilities through 4.5-Mbps backbone links, and eventually to multigigabit-per-second communication lines), and architecturally, the components are organized to scale hierarchically from local area networks to international-scale networks. Such growth is made possible by building layers of communication protocols, as BESSER pointed out. By layering both physically and logically, a sense of scalability is maintained from local area networks in offices, across campuses, through bridges, routers, campus backbones, fiber-optic links, etc., up into regional networks and ultimately into national and international networks. LARSEN then illustrated the geometric growth over a two-year period-- through September 1991--of the number of networks that comprise the Internet. This growth has been sustained largely by the availability of three basic functions: electronic mail, file transfer (ftp), and remote log-on (telnet). LARSEN also reviewed the growth in the kind of traffic that occurs on the network. Network traffic reflects the joint contributions of a larger population of users and increasing use per user. Today one sees serious applications involving moving images across the network--a rarity ten years ago. LARSEN recalled and concurred with BESSER's main point that the interesting problems occur at the application level. LARSEN then illustrated a model of a library's roles and functions in a network environment. He noted, in particular, the placement of on-line catalogues onto the network and patrons obtaining access to the library increasingly through local networks, campus networks, and the Internet. LARSEN supported LYNCH's earlier suggestion that we need to address fundamental questions of networked information in order to build environments that scale in the information sense as well as in the physical sense. LARSEN supported the role of the library system as the access point into the nation's electronic collections. Implementation of the Z39.50 protocol for information retrieval would make such access practical and feasible. For example, this would enable patrons in Maryland to search California libraries, or other libraries around the world that are conformant with Z39.50 in a manner that is familiar to University of Maryland patrons. This client-server model also supports moving beyond secondary content into primary content. (The notion of how one links from secondary content to primary content, LARSEN said, represents a fundamental problem that requires rigorous thought.) After noting numerous network experiments in accessing full-text materials, including projects supporting the ordering of materials across the network, LARSEN revisited the issue of transmitting high-density, high-resolution color images across the network and the large amounts of bandwidth they require. He went on to address the bandwidth and synchronization problems inherent in sending full-motion video across the network. LARSEN illustrated the trade-off between volumes of data in bytes or orders of magnitude and the potential usage of that data. He discussed transmission rates (particularly, the time it takes to move various forms of information), and what one could do with a network supporting multigigabit-per-second transmission. At the moment, the network environment includes a composite of data-transmission requirements, volumes and forms, going from steady to bursty (high-volume) and from very slow to very fast. This aggregate must be considered in the design, construction, and operation of multigigabyte networks. LARSEN's objective is to use the networks and library systems now being constructed to increase access to resources wherever they exist, and thus, to evolve toward an on-line electronic virtual library. LARSEN concluded by offering a snapshot of current trends: continuing geometric growth in network capacity and number of users; slower development of applications; and glacial development and adoption of standards. The challenge is to design and develop each new application system with network access and scalability in mind. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ BROWNRIGG * Access to the Internet cannot be taken for granted * Packet radio and the development of MELVYL in 1980-81 in the Division of Library Automation at the University of California * Design criteria for packet radio * A demonstration project in San Diego and future plans * Spread spectrum * Frequencies at which the radios will run and plans to reimplement the WAIS server software in the public domain * Need for an infrastructure of radios that do not move around * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Edwin BROWNRIGG, executive director, Memex Research Institute, first polled the audience in order to seek out regular users of the Internet as well as those planning to use it some time in the future. With nearly everybody in the room falling into one category or the other, BROWNRIGG made a point re access, namely that numerous individuals, especially those who use the Internet every day, take for granted their access to it, the speeds with which they are connected, and how well it all works. However, as BROWNRIGG discovered between 1987 and 1989 in Australia, if one wants access to the Internet but cannot afford it or has some physical boundary that prevents her or him from gaining access, it can be extremely frustrating. He suggested that because of economics and physical barriers we were beginning to create a world of haves and have-nots in the process of scholarly communication, even in the United States. BROWNRIGG detailed the development of MELVYL in academic year 1980-81 in the Division of Library Automation at the University of California, in order to underscore the issue of access to the system, which at the outset was extremely limited. In short, the project needed to build a network, which at that time entailed use of satellite technology, that is, putting earth stations on campus and also acquiring some terrestrial links from the State of California's microwave system. The installation of satellite links, however, did not solve the problem (which actually formed part of a larger problem involving politics and financial resources). For while the project team could get a signal onto a campus, it had no means of distributing the signal throughout the campus. The solution involved adopting a recent development in wireless communication called packet radio, which combined the basic notion of packet-switching with radio. The project used this technology to get the signal from a point on campus where it came down, an earth station for example, into the libraries, because it found that wiring the libraries, especially the older marble buildings, would cost $2,000-$5,000 per terminal. BROWNRIGG noted that, ten years ago, the project had neither the public policy nor the technology that would have allowed it to use packet radio in any meaningful way. Since then much had changed. He proceeded to detail research and development of the technology, how it is being deployed in California, and what direction he thought it would take. The design criteria are to produce a high-speed, one-time, low-cost, high-quality, secure, license-free device (packet radio) that one can plug in and play today, forget about it, and have access to the Internet. By high speed, BROWNRIGG meant 1 megabyte and 1.5 megabytes. Those units have been built, he continued, and are in the process of being type-certified by an independent underwriting laboratory so that they can be type-licensed by the Federal Communications Commission. As is the case with citizens band, one will be able to purchase a unit and not have to worry about applying for a license. The basic idea, BROWNRIGG elaborated, is to take high-speed radio data transmission and create a backbone network that at certain strategic points in the network will "gateway" into a medium-speed packet radio (i.e., one that runs at 38.4 kilobytes), so that perhaps by 1994-1995 people, like those in the audience for the price of a VCR could purchase a medium-speed radio for the office or home, have full network connectivity to the Internet, and partake of all its services, with no need for an FCC license and no regular bill from the local common carrier. BROWNRIGG presented several details of a demonstration project currently taking place in San Diego and described plans, pending funding, to install a full-bore network in the San Francisco area. This network will have 600 nodes running at backbone speeds, and 100 of these nodes will be libraries, which in turn will be the gateway ports to the 38.4 kilobyte radios that will give coverage for the neighborhoods surrounding the libraries. BROWNRIGG next explained Part 15.247, a new rule within Title 47 of the Code of Federal Regulations enacted by the FCC in 1985. This rule challenged the industry, which has only now risen to the occasion, to build a radio that would run at no more than one watt of output power and use a fairly exotic method of modulating the radio wave called spread spectrum. Spread spectrum in fact permits the building of networks so that numerous data communications can occur simultaneously, without interfering with each other, within the same wide radio channel. BROWNRIGG explained that the frequencies at which the radios would run are very short wave signals. They are well above standard microwave and radar. With a radio wave that small, one watt becomes a tremendous punch per bit and thus makes transmission at reasonable speed possible. In order to minimize the potential for congestion, the project is undertaking to reimplement software which has been available in the networking business and is taken for granted now, for example, TCP/IP, routing algorithms, bridges, and gateways. In addition, the project plans to take the WAIS server software in the public domain and reimplement it so that one can have a WAIS server on a Mac instead of a Unix machine. The Memex Research Institute believes that libraries, in particular, will want to use the WAIS servers with packet radio. This project, which has a team of about twelve people, will run through 1993 and will include the 100 libraries already mentioned as well as other professionals such as those in the medical profession, engineering, and law. Thus, the need is to create an infrastructure of radios that do not move around, which, BROWNRIGG hopes, will solve a problem not only for libraries but for individuals who, by and large today, do not have access to the Internet from their homes and offices. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Project operating frequencies * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ During a brief discussion period, which also concluded the day's proceedings, BROWNRIGG stated that the project was operating in four frequencies. The slow speed is operating at 435 megahertz, and it would later go up to 920 megahertz. With the high-speed frequency, the one-megabyte radios will run at 2.4 gigabits, and 1.5 will run at 5.7. At 5.7, rain can be a factor, but it would have to be tropical rain, unlike what falls in most parts of the United States. ****** SESSION IV. IMAGE CAPTURE, TEXT CAPTURE, OVERVIEW OF TEXT AND IMAGE STORAGE FORMATS William HOOTON, vice president of operations, I-NET, moderated this session. +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ KENNEY * Factors influencing development of CXP * Advantages of using digital technology versus photocopy and microfilm * A primary goal of CXP; publishing challenges * Characteristics of copies printed * Quality of samples achieved in image capture * Several factors to be considered in choosing scanning * Emphasis of CXP on timely and cost-effective production of black-and-white printed facsimiles * Results of producing microfilm from digital files * Advantages of creating microfilm * Details concerning production * Costs * Role of digital technology in library preservation * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Anne KENNEY, associate director, Department of Preservation and Conservation, Cornell University, opened her talk by observing that the Cornell Xerox Project (CXP) has been guided by the assumption that the ability to produce printed facsimiles or to replace paper with paper would be important, at least for the present generation of users and equipment. She described three factors that influenced development of the project: 1) Because the project has emphasized the preservation of deteriorating brittle books, the quality of what was produced had to be sufficiently high to return a paper replacement to the shelf. CXP was only interested in using: 2) a system that was cost-effective, which meant that it had to be cost-competitive with the processes currently available, principally photocopy and microfilm, and 3) new or currently available product hardware and software. KENNEY described the advantages that using digital technology offers over both photocopy and microfilm: 1) The potential exists to create a higher quality reproduction of a deteriorating original than conventional light-lens technology. 2) Because a digital image is an encoded representation, it can be reproduced again and again with no resulting loss of quality, as opposed to the situation with light-lens processes, in which there is discernible difference between a second and a subsequent generation of an image. 3) A digital image can be manipulated in a number of ways to improve image capture; for example, Xerox has developed a windowing application that enables one to capture a page containing both text and illustrations in a manner that optimizes the reproduction of both. (With light-lens technology, one must choose which to optimize, text or the illustration; in preservation microfilming, the current practice is to shoot an illustrated page twice, once to highlight the text and the second time to provide the best capture for the illustration.) 4) A digital image can also be edited, density levels adjusted to remove underlining and stains, and to increase legibility for faint documents. 5) On-screen inspection can take place at the time of initial setup and adjustments made prior to scanning, factors that substantially reduce the number of retakes required in quality control. A primary goal of CXP has been to evaluate the paper output printed on the Xerox DocuTech, a high-speed printer that produces 600-dpi pages from scanned images at a rate of 135 pages a minute. KENNEY recounted several publishing challenges to represent faithful and legible reproductions of the originals that the 600-dpi copy for the most part successfully captured. For example, many of the deteriorating volumes in the project were heavily illustrated with fine line drawings or halftones or came in languages such as Japanese, in which the buildup of characters comprised of varying strokes is difficult to reproduce at lower resolutions; a surprising number of them came with annotations and mathematical formulas, which it was critical to be able to duplicate exactly. KENNEY noted that 1) the copies are being printed on paper that meets the ANSI standards for performance, 2) the DocuTech printer meets the machine and toner requirements for proper adhesion of print to page, as described by the National Archives, and thus 3) paper product is considered to be the archival equivalent of preservation photocopy. KENNEY then discussed several samples of the quality achieved in the project that had been distributed in a handout, for example, a copy of a print-on-demand version of the 1911 Reed lecture on the steam turbine, which contains halftones, line drawings, and illustrations embedded in text; the first four loose pages in the volume compared the capture capabilities of scanning to photocopy for a standard test target, the IEEE standard 167A 1987 test chart. In all instances scanning proved superior to photocopy, though only slightly more so in one. Conceding the simplistic nature of her review of the quality of scanning to photocopy, KENNEY described it as one representation of the kinds of settings that could be used with scanning capabilities on the equipment CXP uses. KENNEY also pointed out that CXP investigated the quality achieved with binary scanning only, and noted the great promise in gray scale and color scanning, whose advantages and disadvantages need to be examined. She argued further that scanning resolutions and file formats can represent a complex trade-off between the time it takes to capture material, file size, fidelity to the original, and on-screen display; and printing and equipment availability. All these factors must be taken into consideration. CXP placed primary emphasis on the production in a timely and cost-effective manner of printed facsimiles that consisted largely of black-and-white text. With binary scanning, large files may be compressed efficiently and in a lossless manner (i.e., no data is lost in the process of compressing [and decompressing] an image--the exact bit-representation is maintained) using Group 4 CCITT (i.e., the French acronym for International Consultative Committee for Telegraph and Telephone) compression. CXP was getting compression ratios of about forty to one. Gray-scale compression, which primarily uses JPEG, is much less economical and can represent a lossy compression (i.e., not lossless), so that as one compresses and decompresses, the illustration is subtly changed. While binary files produce a high-quality printed version, it appears 1) that other combinations of spatial resolution with gray and/or color hold great promise as well, and 2) that gray scale can represent a tremendous advantage for on-screen viewing. The quality associated with binary and gray scale also depends on the equipment used. For instance, binary scanning produces a much better copy on a binary printer. Among CXP's findings concerning the production of microfilm from digital files, KENNEY reported that the digital files for the same Reed lecture were used to produce sample film using an electron beam recorder. The resulting film was faithful to the image capture of the digital files, and while CXP felt that the text and image pages represented in the Reed lecture were superior to that of the light-lens film, the resolution readings for the 600 dpi were not as high as standard microfilming. KENNEY argued that the standards defined for light-lens technology are not totally transferable to a digital environment. Moreover, they are based on definition of quality for a preservation copy. Although making this case will prove to be a long, uphill struggle, CXP plans to continue to investigate the issue over the course of the next year. KENNEY concluded this portion of her talk with a discussion of the advantages of creating film: it can serve as a primary backup and as a preservation master to the digital file; it could then become the print or production master and service copies could be paper, film, optical disks, magnetic media, or on-screen display. Finally, KENNEY presented details re production: * Development and testing of a moderately-high resolution production scanning workstation represented a third goal of CXP; to date, 1,000 volumes have been scanned, or about 300,000 images. * The resulting digital files are stored and used to produce hard-copy replacements for the originals and additional prints on demand; although the initial costs are high, scanning technology offers an affordable means for reformatting brittle material. * A technician in production mode can scan 300 pages per hour when performing single-sheet scanning, which is a necessity when working with truly brittle paper; this figure is expected to increase significantly with subsequent iterations of the software from Xerox; a three-month time-and-cost study of scanning found that the average 300-page book would take about an hour and forty minutes to scan (this figure included the time for setup, which involves keying in primary bibliographic data, going into quality control mode to define page size, establishing front-to-back registration, and scanning sample pages to identify a default range of settings for the entire book--functions not dissimilar to those performed by filmers or those preparing a book for photocopy). * The final step in the scanning process involved rescans, which happily were few and far between, representing well under 1 percent of the total pages scanned. In addition to technician time, CXP costed out equipment, amortized over four years, the cost of storing and refreshing the digital files every four years, and the cost of printing and binding, book-cloth binding, a paper reproduction. The total amounted to a little under $65 per single 300-page volume, with 30 percent overhead included--a figure competitive with the prices currently charged by photocopy vendors. Of course, with scanning, in addition to the paper facsimile, one is left with a digital file from which subsequent copies of the book can be produced for a fraction of the cost of photocopy, with readers afforded choices in the form of these copies. KENNEY concluded that digital technology offers an electronic means for a library preservation effort to pay for itself. If a brittle-book program included the means of disseminating reprints of books that are in demand by libraries and researchers alike, the initial investment in capture could be recovered and used to preserve additional but less popular books. She disclosed that an economic model for a self-sustaining program could be developed for CXP's report to the Commission on Preservation and Access (CPA). KENNEY stressed that the focus of CXP has been on obtaining high quality in a production environment. The use of digital technology is viewed as an affordable alternative to other reformatting options. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ANDRE * Overview and history of NATDP * Various agricultural CD-ROM products created inhouse and by service bureaus * Pilot project on Internet transmission * Additional products in progress * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Pamela ANDRE, associate director for automation, National Agricultural Text Digitizing Program (NATDP), National Agricultural Library (NAL), presented an overview of NATDP, which has been underway at NAL the last four years, before Judith ZIDAR discussed the technical details. ANDRE defined agricultural information as a broad range of material going from basic and applied research in the hard sciences to the one-page pamphlets that are distributed by the cooperative state extension services on such things as how to grow blueberries. NATDP began in late 1986 with a meeting of representatives from the land-grant library community to deal with the issue of electronic information. NAL and forty-five of these libraries banded together to establish this project--to evaluate the technology for converting what were then source documents in paper form into electronic form, to provide access to that digital information, and then to distribute it. Distributing that material to the community--the university community as well as the extension service community, potentially down to the county level--constituted the group's chief concern. Since January 1988 (when the microcomputer-based scanning system was installed at NAL), NATDP has done a variety of things, concerning which ZIDAR would provide further details. For example, the first technology considered in the project's discussion phase was digital videodisc, which indicates how long ago it was conceived. Over the four years of this project, four separate CD-ROM products on four different agricultural topics were created, two at a scanning-and-OCR station installed at NAL, and two by service bureaus. Thus, NATDP has gained comparative information in terms of those relative costs. Each of these products contained the full ASCII text as well as page images of the material, or between 4,000 and 6,000 pages of material on these disks. Topics included aquaculture, food, agriculture and science (i.e., international agriculture and research), acid rain, and Agent Orange, which was the final product distributed (approximately eighteen months before the Workshop). The third phase of NATDP focused on delivery mechanisms other than CD-ROM. At the suggestion of Clifford LYNCH, who was a technical consultant to the project at this point, NATDP became involved with the Internet and initiated a project with the help of North Carolina State University, in which fourteen of the land-grant university libraries are transmitting digital images over the Internet in response to interlibrary loan requests--a topic for another meeting. At this point, the pilot project had been completed for about a year and the final report would be available shortly after the Workshop. In the meantime, the project's success had led to its extension. (ANDRE noted that one of the first things done under the program title was to select a retrieval package to use with subsequent products; Windows Personal Librarian was the package of choice after a lengthy evaluation.) Three additional products had been planned and were in progress: 1) An arrangement with the American Society of Agronomy--a professional society that has published the Agronomy Journal since about 1908--to scan and create bit-mapped images of its journal. ASA granted permission first to put and then to distribute this material in electronic form, to hold it at NAL, and to use these electronic images as a mechanism to deliver documents or print out material for patrons, among other uses. Effectively, NAL has the right to use this material in support of its program. (Significantly, this arrangement offers a potential cooperative model for working with other professional societies in agriculture to try to do the same thing--put the journals of particular interest to agriculture research into electronic form.) 2) An extension of the earlier product on aquaculture. 3) The George Washington Carver Papers--a joint project with Tuskegee University to scan and convert from microfilm some 3,500 images of Carver's papers, letters, and drawings. It was anticipated that all of these products would appear no more than six months after the Workshop. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ZIDAR * (A separate arena for scanning) * Steps in creating a database * Image capture, with and without performing OCR * Keying in tracking data * Scanning, with electronic and manual tracking * Adjustments during scanning process * Scanning resolutions * Compression * De-skewing and filtering * Image capture from microform: the papers and letters of George Washington Carver * Equipment used for a scanning system * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Judith ZIDAR, coordinator, National Agricultural Text Digitizing Program (NATDP), National Agricultural Library (NAL), illustrated the technical details of NATDP, including her primary responsibility, scanning and creating databases on a topic and putting them on CD-ROM. (ZIDAR remarked a separate arena from the CD-ROM projects, although the processing of the material is nearly identical, in which NATDP is also scanning material and loading it on a Next microcomputer, which in turn is linked to NAL's integrated library system. Thus, searches in NAL's bibliographic database will enable people to pull up actual page images and text for any documents that have been entered.) In accordance with the session's topic, ZIDAR focused her illustrated talk on image capture, offering a primer on the three main steps in the process: 1) assemble the printed publications; 2) design the database (database design occurs in the process of preparing the material for scanning; this step entails reviewing and organizing the material, defining the contents--what will constitute a record, what kinds of fields will be captured in terms of author, title, etc.); 3) perform a certain amount of markup on the paper publications. NAL performs this task record by record, preparing work sheets or some other sort of tracking material and designing descriptors and other enhancements to be added to the data that will not be captured from the printed publication. Part of this process also involves determining NATDP's file and directory structure: NATDP attempts to avoid putting more than approximately 100 images in a directory, because placing more than that on a CD-ROM would reduce the access speed. This up-front process takes approximately two weeks for a 6,000-7,000-page database. The next step is to capture the page images. How long this process takes is determined by the decision whether or not to perform OCR. Not performing OCR speeds the process, whereas text capture requires greater care because of the quality of the image: it has to be straighter and allowance must be made for text on a page, not just for the capture of photographs. NATDP keys in tracking data, that is, a standard bibliographic record including the title of the book and the title of the chapter, which will later either become the access information or will be attached to the front of a full-text record so that it is searchable. Images are scanned from a bound or unbound publication, chiefly from bound publications in the case of NATDP, however, because often they are the only copies and the publications are returned to the shelves. NATDP usually scans one record at a time, because its database tracking system tracks the document in that way and does not require further logical separating of the images. After performing optical character recognition, NATDP moves the images off the hard disk and maintains a volume sheet. Though the system tracks electronically, all the processing steps are also tracked manually with a log sheet. ZIDAR next illustrated the kinds of adjustments that one can make when scanning from paper and microfilm, for example, redoing images that need special handling, setting for dithering or gray scale, and adjusting for brightness or for the whole book at one time. NATDP is scanning at 300 dots per inch, a standard scanning resolution. Though adequate for capturing text that is all of a standard size, 300 dpi is unsuitable for any kind of photographic material or for very small text. Many scanners allow for different image formats, TIFF, of course, being a de facto standard. But if one intends to exchange images with other people, the ability to scan other image formats, even if they are less common, becomes highly desirable. CCITT Group 4 is the standard compression for normal black-and-white images, JPEG for gray scale or color. ZIDAR recommended 1) using the standard compressions, particularly if one attempts to make material available and to allow users to download images and reuse them from CD-ROMs; and 2) maintaining the ability to output an uncompressed image, because in image exchange uncompressed images are more likely to be able to cross platforms. ZIDAR emphasized the importance of de-skewing and filtering as requirements on NATDP's upgraded system. For instance, scanning bound books, particularly books published by the federal government whose pages are skewed, and trying to scan them straight if OCR is to be performed, is extremely time-consuming. The same holds for filtering of poor-quality or older materials. ZIDAR described image capture from microform, using as an example three reels from a sixty-seven-reel set of the papers and letters of George Washington Carver that had been produced by Tuskegee University. These resulted in approximately 3,500 images, which NATDP had had scanned by its service contractor, Science Applications International Corporation (SAIC). NATDP also created bibliographic records for access. (NATDP did not have such specialized equipment as a microfilm scanner. Unfortunately, the process of scanning from microfilm was not an unqualified success, ZIDAR reported: because microfilm frame sizes vary, occasionally some frames were missed, which without spending much time and money could not be recaptured. OCR could not be performed from the scanned images of the frames. The bleeding in the text simply output text, when OCR was run, that could not even be edited. NATDP tested for negative versus positive images, landscape versus portrait orientation, and single- versus dual-page microfilm, none of which seemed to affect the quality of the image; but also on none of them could OCR be performed. In selecting the microfilm they would use, therefore, NATDP had other factors in mind. ZIDAR noted two factors that influenced the quality of the images: 1) the inherent quality of the original and 2) the amount of size reduction on the pages. The Carver papers were selected because they are informative and visually interesting, treat a single subject, and are valuable in their own right. The images were scanned and divided into logical records by SAIC, then delivered, and loaded onto NATDP's system, where bibliographic information taken directly from the images was added. Scanning was completed in summer 1991 and by the end of summer 1992 the disk was scheduled to be published. Problems encountered during processing included the following: Because the microfilm scanning had to be done in a batch, adjustment for individual page variations was not possible. The frame size varied on account of the nature of the material, and therefore some of the frames were missed while others were just partial frames. The only way to go back and capture this material was to print out the page with the microfilm reader from the missing frame and then scan it in from the page, which was extremely time-consuming. The quality of the images scanned from the printout of the microfilm compared unfavorably with that of the original images captured directly from the microfilm. The inability to perform OCR also was a major disappointment. At the time, computer output microfilm was unavailable to test. The equipment used for a scanning system was the last topic addressed by ZIDAR. The type of equipment that one would purchase for a scanning system included: a microcomputer, at least a 386, but preferably a 486; a large hard disk, 380 megabyte at minimum; a multi-tasking operating system that allows one to run some things in batch in the background while scanning or doing text editing, for example, Unix or OS/2 and, theoretically, Windows; a high-speed scanner and scanning software that allows one to make the various adjustments mentioned earlier; a high-resolution monitor (150 dpi ); OCR software and hardware to perform text recognition; an optical disk subsystem on which to archive all the images as the processing is done; file management and tracking software. ZIDAR opined that the software one purchases was more important than the hardware and might also cost more than the hardware, but it was likely to prove critical to the success or failure of one's system. In addition to a stand-alone scanning workstation for image capture, then, text capture requires one or two editing stations networked to this scanning station to perform editing. Editing the text takes two or three times as long as capturing the images. Finally, ZIDAR stressed the importance of buying an open system that allows for more than one vendor, complies with standards, and can be upgraded. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ WATERS *Yale University Library's master plan to convert microfilm to digital imagery (POB) * The place of electronic tools in the library of the future * The uses of images and an image library * Primary input from preservation microfilm * Features distinguishing POB from CXP and key hypotheses guiding POB * Use of vendor selection process to facilitate organizational work * Criteria for selecting vendor * Finalists and results of process for Yale * Key factor distinguishing vendors * Components, design principles, and some estimated costs of POB * Role of preservation materials in developing imaging market * Factors affecting quality and cost * Factors affecting the usability of complex documents in image form * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Donald WATERS, head of the Systems Office, Yale University Library, reported on the progress of a master plan for a project at Yale to convert microfilm to digital imagery, Project Open Book (POB). Stating that POB was in an advanced stage of planning, WATERS detailed, in particular, the process of selecting a vendor partner and several key issues under discussion as Yale prepares to move into the project itself. He commented first on the vision that serves as the context of POB and then described its purpose and scope. WATERS sees the library of the future not necessarily as an electronic library but as a place that generates, preserves, and improves for its clients ready access to both intellectual and physical recorded knowledge. Electronic tools must find a place in the library in the context of this vision. Several roles for electronic tools include serving as: indirect sources of electronic knowledge or as "finding" aids (the on-line catalogues, the article-level indices, registers for documents and archives); direct sources of recorded knowledge; full-text images; and various kinds of compound sources of recorded knowledge (the so-called compound documents of Hypertext, mixed text and image, mixed-text image format, and multimedia). POB is looking particularly at images and an image library, the uses to which images will be put (e.g., storage, printing, browsing, and then use as input for other processes), OCR as a subsequent process to image capture, or creating an image library, and also possibly generating microfilm. While input will come from a variety of sources, POB is considering especially input from preservation microfilm. A possible outcome is that the film and paper which provide the input for the image library eventually may go off into remote storage, and that the image library may be the primary access tool. The purpose and scope of POB focus on imaging. Though related to CXP, POB has two features which distinguish it: 1) scale--conversion of 10,000 volumes into digital image form; and 2) source--conversion from microfilm. Given these features, several key working hypotheses guide POB, including: 1) Since POB is using microfilm, it is not concerned with the image library as a preservation medium. 2) Digital imagery can improve access to recorded knowledge through printing and network distribution at a modest incremental cost of microfilm. 3) Capturing and storing documents in a digital image form is necessary to further improvements in access. (POB distinguishes between the imaging, digitizing process and OCR, which at this stage it does not plan to perform.) Currently in its first or organizational phase, POB found that it could use a vendor selection process to facilitate a good deal of the organizational work (e.g., creating a project team and advisory board, confirming the validity of the plan, establishing the cost of the project and a budget, selecting the materials to convert, and then raising the necessary funds). POB developed numerous selection criteria, including: a firm committed to image-document management, the ability to serve as systems integrator in a large-scale project over several years, interest in developing the requisite software as a standard rather than a custom product, and a willingness to invest substantial resources in the project itself. Two vendors, DEC and Xerox, were selected as finalists in October 1991, and with the support of the Commission on Preservation and Access, each was commissioned to generate a detailed requirements analysis for the project and then to submit a formal proposal for the completion of the project, which included a budget and costs. The terms were that POB would pay the loser. The results for Yale of involving a vendor included: broad involvement of Yale staff across the board at a relatively low cost, which may have long-term significance in carrying out the project (twenty-five to thirty university people are engaged in POB); better understanding of the factors that affect corporate response to markets for imaging products; a competitive proposal; and a more sophisticated view of the imaging markets. The most important factor that distinguished the vendors under consideration was their identification with the customer. The size and internal complexity of the company also was an important factor. POB was looking at large companies that had substantial resources. In the end, the process generated for Yale two competitive proposals, with Xerox's the clear winner. WATERS then described the components of the proposal, the design principles, and some of the costs estimated for the process. Components are essentially four: a conversion subsystem, a network-accessible storage subsystem for 10,000 books (and POB expects 200 to 600 dpi storage), browsing stations distributed on the campus network, and network access to the image printers. Among the design principles, POB wanted conversion at the highest possible resolution. Assuming TIFF files, TIFF files with Group 4 compression, TCP/IP, and ethernet network on campus, POB wanted a client-server approach with image documents distributed to the workstations and made accessible through native workstation interfaces such as Windows. POB also insisted on a phased approach to implementation: 1) a stand-alone, single-user, low-cost entry into the business with a workstation focused on conversion and allowing POB to explore user access; 2) movement into a higher-volume conversion with network-accessible storage and multiple access stations; and 3) a high-volume conversion, full-capacity storage, and multiple browsing stations distributed throughout the campus. The costs proposed for start-up assumed the existence of the Yale network and its two DocuTech image printers. Other start-up costs are estimated at $1 million over the three phases. At the end of the project, the annual operating costs estimated primarily for the software and hardware proposed come to about $60,000, but these exclude costs for labor needed in the conversion process, network and printer usage, and facilities management. Finally, the selection process produced for Yale a more sophisticated view of the imaging markets: the management of complex documents in image form is not a preservation problem, not a library problem, but a general problem in a broad, general industry. Preservation materials are useful for developing that market because of the qualities of the material. For example, much of it is out of copyright. The resolution of key issues such as the quality of scanning and image browsing also will affect development of that market. The technology is readily available but changing rapidly. In this context of rapid change, several factors affect quality and cost, to which POB intends to pay particular attention, for example, the various levels of resolution that can be achieved. POB believes it can bring resolution up to 600 dpi, but an interpolation process from 400 to 600 is more likely. The variation quality in microfilm will prove to be a highly important factor. POB may reexamine the standards used to film in the first place by looking at this process as a follow-on to microfilming. Other important factors include: the techniques available to the operator for handling material, the ways of integrating quality control into the digitizing work flow, and a work flow that includes indexing and storage. POB's requirement was to be able to deal with quality control at the point of scanning. Thus, thanks to Xerox, POB anticipates having a mechanism which will allow it not only to scan in batch form, but to review the material as it goes through the scanner and control quality from the outset. The standards for measuring quality and costs depend greatly on the uses of the material, including subsequent OCR, storage, printing, and browsing. But especially at issue for POB is the facility for browsing. This facility, WATERS said, is perhaps the weakest aspect of imaging technology and the most in need of development. A variety of factors affect the usability of complex documents in image form, among them: 1) the ability of the system to handle the full range of document types, not just monographs but serials, multi-part monographs, and manuscripts; 2) the location of the database of record for bibliographic information about the image document, which POB wants to enter once and in the most useful place, the on-line catalog; 3) a document identifier for referencing the bibliographic information in one place and the images in another; 4) the technique for making the basic internal structure of the document accessible to the reader; and finally, 5) the physical presentation on the CRT of those documents. POB is ready to complete this phase now. One last decision involves deciding which material to scan. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * TIFF files constitute de facto standard * NARA's experience with image conversion software and text conversion * RFC 1314 * Considerable flux concerning available hardware and software solutions * NAL through-put rate during scanning * Window management questions * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ In the question-and-answer period that followed WATERS's presentation, the following points emerged: * ZIDAR's statement about using TIFF files as a standard meant de facto standard. This is what most people use and typically exchange with other groups, across platforms, or even occasionally across display software. * HOLMES commented on the unsuccessful experience of NARA in attempting to run image-conversion software or to exchange between applications: What are supposedly TIFF files go into other software that is supposed to be able to accept TIFF but cannot recognize the format and cannot deal with it, and thus renders the exchange useless. Re text conversion, he noted the different recognition rates obtained by substituting the make and model of scanners in NARA's recent test of an "intelligent" character-recognition product for a new company. In the selection of hardware and software, HOLMES argued, software no longer constitutes the overriding factor it did until about a year ago; rather it is perhaps important to look at both now. * Danny Cohen and Alan Katz of the University of Southern California Information Sciences Institute began circulating as an Internet RFC (RFC 1314) about a month ago a standard for a TIFF interchange format for Internet distribution of monochrome bit-mapped images, which LYNCH said he believed would be used as a de facto standard. * FLEISCHHAUER's impression from hearing these reports and thinking about AM's experience was that there is considerable flux concerning available hardware and software solutions. HOOTON agreed and commented at the same time on ZIDAR's statement that the equipment employed affects the results produced. One cannot draw a complete conclusion by saying it is difficult or impossible to perform OCR from scanning microfilm, for example, with that device, that set of parameters, and system requirements, because numerous other people are accomplishing just that, using other components, perhaps. HOOTON opined that both the hardware and the software were highly important. Most of the problems discussed today have been solved in numerous different ways by other people. Though it is good to be cognizant of various experiences, this is not to say that it will always be thus. * At NAL, the through-put rate of the scanning process for paper, page by page, performing OCR, ranges from 300 to 600 pages per day; not performing OCR is considerably faster, although how much faster is not known. This is for scanning from bound books, which is much slower. * WATERS commented on window management questions: DEC proposed an X-Windows solution which was problematical for two reasons. One was POB's requirement to be able to manipulate images on the workstation and bring them down to the workstation itself and the other was network usage. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ THOMA * Illustration of deficiencies in scanning and storage process * Image quality in this process * Different costs entailed by better image quality * Techniques for overcoming various de-ficiencies: fixed thresholding, dynamic thresholding, dithering, image merge * Page edge effects * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ George THOMA, chief, Communications Engineering Branch, National Library of Medicine (NLM), illustrated several of the deficiencies discussed by the previous speakers. He introduced the topic of special problems by noting the advantages of electronic imaging. For example, it is regenerable because it is a coded file, and real-time quality control is possible with electronic capture, whereas in photographic capture it is not. One of the difficulties discussed in the scanning and storage process was image quality which, without belaboring the obvious, means different things for maps, medical X-rays, or broadcast television. In the case of documents, THOMA said, image quality boils down to legibility of the textual parts, and fidelity in the case of gray or color photo print-type material. Legibility boils down to scan density, the standard in most cases being 300 dpi. Increasing the resolution with scanners that perform 600 or 1200 dpi, however, comes at a cost. Better image quality entails at least four different kinds of costs: 1) equipment costs, because the CCD (i.e., charge-couple device) with greater number of elements costs more; 2) time costs that translate to the actual capture costs, because manual labor is involved (the time is also dependent on the fact that more data has to be moved around in the machine in the scanning or network devices that perform the scanning as well as the storage); 3) media costs, because at high resolutions larger files have to be stored; and 4) transmission costs, because there is just more data to be transmitted. But while resolution takes care of the issue of legibility in image quality, other deficiencies have to do with contrast and elements on the page scanned or the image that needed to be removed or clarified. Thus, THOMA proceeded to illustrate various deficiencies, how they are manifested, and several techniques to overcome them. Fixed thresholding was the first technique described, suitable for black-and-white text, when the contrast does not vary over the page. One can have many different threshold levels in scanning devices. Thus, THOMA offered an example of extremely poor contrast, which resulted from the fact that the stock was a heavy red. This is the sort of image that when microfilmed fails to provide any legibility whatsoever. Fixed thresholding is the way to change the black-to-red contrast to the desired black-to-white contrast. Other examples included material that had been browned or yellowed by age. This was also a case of contrast deficiency, and correction was done by fixed thresholding. A final example boils down to the same thing, slight variability, but it is not significant. Fixed thresholding solves this problem as well. The microfilm equivalent is certainly legible, but it comes with dark areas. Though THOMA did not have a slide of the microfilm in this case, he did show the reproduced electronic image. When one has variable contrast over a page or the lighting over the page area varies, especially in the case where a bound volume has light shining on it, the image must be processed by a dynamic thresholding scheme. One scheme, dynamic averaging, allows the threshold level not to be fixed but to be recomputed for every pixel from the neighboring characteristics. The neighbors of a pixel determine where the threshold should be set for that pixel. THOMA showed an example of a page that had been made deficient by a variety of techniques, including a burn mark, coffee stains, and a yellow marker. Application of a fixed-thresholding scheme, THOMA argued, might take care of several deficiencies on the page but not all of them. Performing the calculation for a dynamic threshold setting, however, removes most of the deficiencies so that at least the text is legible. Another problem is representing a gray level with black-and-white pixels by a process known as dithering or electronic screening. But dithering does not provide good image quality for pure black-and-white textual material. THOMA illustrated this point with examples. Although its suitability for photoprint is the reason for electronic screening or dithering, it cannot be used for every compound image. In the document that was distributed by CXP, THOMA noticed that the dithered image of the IEEE test chart evinced some deterioration in the text. He presented an extreme example of deterioration in the text in which compounded documents had to be set right by other techniques. The technique illustrated by the present example was an image merge in which the page is scanned twice and the settings go from fixed threshold to the dithering matrix; the resulting images are merged to give the best results with each technique. THOMA illustrated how dithering is also used in nonphotographic or nonprint materials with an example of a grayish page from a medical text, which was reproduced to show all of the gray that appeared in the original. Dithering provided a reproduction of all the gray in the original of another example from the same text. THOMA finally illustrated the problem of bordering, or page-edge, effects. Books and bound volumes that are placed on a photocopy machine or a scanner produce page-edge effects that are undesirable for two reasons: 1) the aesthetics of the image; after all, if the image is to be preserved, one does not necessarily want to keep all of its deficiencies; 2) compression (with the bordering problem THOMA illustrated, the compression ratio deteriorated tremendously). One way to eliminate this more serious problem is to have the operator at the point of scanning window the part of the image that is desirable and automatically turn all of the pixels out of that picture to white. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ FLEISCHHAUER * AM's experience with scanning bound materials * Dithering * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Carl FLEISCHHAUER, coordinator, American Memory, Library of Congress, reported AM's experience with scanning bound materials, which he likened to the problems involved in using photocopying machines. Very few devices in the industry offer book-edge scanning, let alone book cradles. The problem may be unsolvable, FLEISCHHAUER said, because a large enough market does not exist for a preservation-quality scanner. AM is using a Kurzweil scanner, which is a book-edge scanner now sold by Xerox. Devoting the remainder of his brief presentation to dithering, FLEISCHHAUER related AM's experience with a contractor who was using unsophisticated equipment and software to reduce moire patterns from printed halftones. AM took the same image and used the dithering algorithm that forms part of the same Kurzweil Xerox scanner; it disguised moire patterns much more effectively. FLEISCHHAUER also observed that dithering produces a binary file which is useful for numerous purposes, for example, printing it on a laser printer without having to "re-halftone" it. But it tends to defeat efficient compression, because the very thing that dithers to reduce moire patterns also tends to work against compression schemes. AM thought the difference in image quality was worth it. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Relative use as a criterion for POB's selection of books to be converted into digital form * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ During the discussion period, WATERS noted that one of the criteria for selecting books among the 10,000 to be converted into digital image form would be how much relative use they would receive--a subject still requiring evaluation. The challenge will be to understand whether coherent bodies of material will increase usage or whether POB should seek material that is being used, scan that, and make it more accessible. POB might decide to digitize materials that are already heavily used, in order to make them more accessible and decrease wear on them. Another approach would be to provide a large body of intellectually coherent material that may be used more in digital form than it is currently used in microfilm. POB would seek material that was out of copyright. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ BARONAS * Origin and scope of AIIM * Types of documents produced in AIIM's standards program * Domain of AIIM's standardization work * AIIM's structure * TC 171 and MS23 * Electronic image management standards * Categories of EIM standardization where AIIM standards are being developed * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Jean BARONAS, senior manager, Department of Standards and Technology, Association for Information and Image Management (AIIM), described the not-for-profit association and the national and international programs for standardization in which AIIM is active. Accredited for twenty-five years as the nation's standards development organization for document image management, AIIM began life in a library community developing microfilm standards. Today the association maintains both its library and business-image management standardization activities--and has moved into electronic image-management standardization (EIM). BARONAS defined the program's scope. AIIM deals with: 1) the terminology of standards and of the technology it uses; 2) methods of measurement for the systems, as well as quality; 3) methodologies for users to evaluate and measure quality; 4) the features of apparatus used to manage and edit images; and 5) the procedures used to manage images. BARONAS noted that three types of documents are produced in the AIIM standards program: the first two, accredited by the American National Standards Institute (ANSI), are standards and standard recommended practices. Recommended practices differ from standards in that they contain more tutorial information. A technical report is not an ANSI standard. Because AIIM's policies and procedures for developing standards are approved by ANSI, its standards are labeled ANSI/AIIM, followed by the number and title of the standard. BARONAS then illustrated the domain of AIIM's standardization work. For example, AIIM is the administrator of the U.S. Technical Advisory Group (TAG) to the International Standards Organization's (ISO) technical committee, TC l7l Micrographics and Optical Memories for Document and Image Recording, Storage, and Use. AIIM officially works through ANSI in the international standardization process. BARONAS described AIIM's structure, including its board of directors, its standards board of twelve individuals active in the image-management industry, its strategic planning and legal admissibility task forces, and its National Standards Council, which is comprised of the members of a number of organizations who vote on every AIIM standard before it is published. BARONAS pointed out that AIIM's liaisons deal with numerous other standards developers, including the optical disk community, office and publishing systems, image-codes-and-character set committees, and the National Information Standards Organization (NISO). BARONAS illustrated the procedures of TC l7l, which covers all aspects of image management. When AIIM's national program has conceptualized a new project, it is usually submitted to the international level, so that the member countries of TC l7l can simultaneously work on the development of the standard or the technical report. BARONAS also illustrated a classic microfilm standard, MS23, which deals with numerous imaging concepts that apply to electronic imaging. Originally developed in the l970s, revised in the l980s, and revised again in l991, this standard is scheduled for another revision. MS23 is an active standard whereby users may propose new density ranges and new methods of evaluating film images in the standard's revision. BARONAS detailed several electronic image-management standards, for instance, ANSI/AIIM MS44, a quality-control guideline for scanning 8.5" by 11" black-and-white office documents. This standard is used with the IEEE fax image--a continuous tone photographic image with gray scales, text, and several continuous tone pictures--and AIIM test target number 2, a representative document used in office document management. BARONAS next outlined the four categories of EIM standardization in which AIIM standards are being developed: transfer and retrieval, evaluation, optical disc and document scanning applications, and design and conversion of documents. She detailed several of the main projects of each: 1) in the category of image transfer and retrieval, a bi-level image transfer format, ANSI/AIIM MS53, which is a proposed standard that describes a file header for image transfer between unlike systems when the images are compressed using G3 and G4 compression; 2) the category of image evaluation, which includes the AIIM-proposed TR26 tutorial on image resolution (this technical report will treat the differences and similarities between classical or photographic and electronic imaging); 3) design and conversion, which includes a proposed technical report called "Forms Design Optimization for EIM" (this report considers how general-purpose business forms can be best designed so that scanning is optimized; reprographic characteristics such as type, rules, background, tint, and color will likewise be treated in the technical report); 4) disk and document scanning applications includes a project a) on planning platters and disk management, b) on generating an application profile for EIM when images are stored and distributed on CD-ROM, and c) on evaluating SCSI2, and how a common command set can be generated for SCSI2 so that document scanners are more easily integrated. (ANSI/AIIM MS53 will also apply to compressed images.) ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ BATTIN * The implications of standards for preservation * A major obstacle to successful cooperation * A hindrance to access in the digital environment * Standards a double-edged sword for those concerned with the preservation of the human record * Near-term prognosis for reliable archival standards * Preservation concerns for electronic media * Need for reconceptualizing our preservation principles * Standards in the real world and the politics of reproduction * Need to redefine the concept of archival and to begin to think in terms of life cycles * Cooperation and the La Guardia Eight * Concerns generated by discussions on the problems of preserving text and image * General principles to be adopted in a world without standards * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Patricia BATTIN, president, the Commission on Preservation and Access (CPA), addressed the implications of standards for preservation. She listed several areas where the library profession and the analog world of the printed book had made enormous contributions over the past hundred years--for example, in bibliographic formats, binding standards, and, most important, in determining what constitutes longevity or archival quality. Although standards have lightened the preservation burden through the development of national and international collaborative programs, nevertheless, a pervasive mistrust of other people's standards remains a major obstacle to successful cooperation, BATTIN said. The zeal to achieve perfection, regardless of the cost, has hindered rather than facilitated access in some instances, and in the digital environment, where no real standards exist, has brought an ironically just reward. BATTIN argued that standards are a double-edged sword for those concerned with the preservation of the human record, that is, the provision of access to recorded knowledge in a multitude of media as far into the future as possible. Standards are essential to facilitate interconnectivity and access, but, BATTIN said, as LYNCH pointed out yesterday, if set too soon they can hinder creativity, expansion of capability, and the broadening of access. The characteristics of standards for digital imagery differ radically from those for analog imagery. And the nature of digital technology implies continuing volatility and change. To reiterate, precipitous standard-setting can inhibit creativity, but delayed standard-setting results in chaos. Since in BATTIN'S opinion the near-term prognosis for reliable archival standards, as defined by librarians in the analog world, is poor, two alternatives remain: standing pat with the old technology, or reconceptualizing. Preservation concerns for electronic media fall into two general domains. One is the continuing assurance of access to knowledge originally generated, stored, disseminated, and used in electronic form. This domain contains several subdivisions, including 1) the closed, proprietary systems discussed the previous day, bundled information such as electronic journals and government agency records, and electronically produced or captured raw data; and 2) the application of digital technologies to the reformatting of materials originally published on a deteriorating analog medium such as acid paper or videotape. The preservation of electronic media requires a reconceptualizing of our preservation principles during a volatile, standardless transition which may last far longer than any of us envision today. BATTIN urged the necessity of shifting focus from assessing, measuring, and setting standards for the permanence of the medium to the concept of managing continuing access to information stored on a variety of media and requiring a variety of ever-changing hardware and software for access--a fundamental shift for the library profession. BATTIN offered a primer on how to move forward with reasonable confidence in a world without standards. Her comments fell roughly into two sections: 1) standards in the real world and 2) the politics of reproduction. In regard to real-world standards, BATTIN argued the need to redefine the concept of archive and to begin to think in terms of life cycles. In the past, the naive assumption that paper would last forever produced a cavalier attitude toward life cycles. The transient nature of the electronic media has compelled people to recognize and accept upfront the concept of life cycles in place of permanency. Digital standards have to be developed and set in a cooperative context to ensure efficient exchange of information. Moreover, during this transition period, greater flexibility concerning how concepts such as backup copies and archival copies in the CXP are defined is necessary, or the opportunity to move forward will be lost. In terms of cooperation, particularly in the university setting, BATTIN also argued the need to avoid going off in a hundred different directions. The CPA has catalyzed a small group of universities called the La Guardia Eight--because La Guardia Airport is where meetings take place--Harvard, Yale, Cornell, Princeton, Penn State, Tennessee, Stanford, and USC, to develop a digital preservation consortium to look at all these issues and develop de facto standards as we move along, instead of waiting for something that is officially blessed. Continuing to apply analog values and definitions of standards to the digital environment, BATTIN said, will effectively lead to forfeiture of the benefits of digital technology to research and scholarship. Under the second rubric, the politics of reproduction, BATTIN reiterated an oft-made argument concerning the electronic library, namely, that it is more difficult to transform than to create, and nowhere is that belief expressed more dramatically than in the conversion of brittle books to new media. Preserving information published in electronic media involves making sure the information remains accessible and that digital information is not lost through reproduction. In the analog world of photocopies and microfilm, the issue of fidelity to the original becomes paramount, as do issues of "Whose fidelity?" and "Whose original?" BATTIN elaborated these arguments with a few examples from a recent study conducted by the CPA on the problems of preserving text and image. Discussions with scholars, librarians, and curators in a variety of disciplines dependent on text and image generated a variety of concerns, for example: 1) Copy what is, not what the technology is capable of. This is very important for the history of ideas. Scholars wish to know what the author saw and worked from. And make available at the workstation the opportunity to erase all the defects and enhance the presentation. 2) The fidelity of reproduction--what is good enough, what can we afford, and the difference it makes--issues of subjective versus objective resolution. 3) The differences between primary and secondary users. Restricting the definition of primary user to the one in whose discipline the material has been published runs one headlong into the reality that these printed books have had a host of other users from a host of other disciplines, who not only were looking for very different things, but who also shared values very different from those of the primary user. 4) The relationship of the standard of reproduction to new capabilities of scholarship--the browsing standard versus an archival standard. How good must the archival standard be? Can a distinction be drawn between potential users in setting standards for reproduction? Archival storage, use copies, browsing copies--ought an attempt to set standards even be made? 5) Finally, costs. How much are we prepared to pay to capture absolute fidelity? What are the trade-offs between vastly enhanced access, degrees of fidelity, and costs? These standards, BATTIN concluded, serve to complicate further the reproduction process, and add to the long list of technical standards that are necessary to ensure widespread access. Ways to articulate and analyze the costs that are attached to the different levels of standards must be found. Given the chaos concerning standards, which promises to linger for the foreseeable future, BATTIN urged adoption of the following general principles: * Strive to understand the changing information requirements of scholarly disciplines as more and more technology is integrated into the process of research and scholarly communication in order to meet future scholarly needs, not to build for the past. Capture deteriorating information at the highest affordable resolution, even though the dissemination and display technologies will lag. * Develop cooperative mechanisms to foster agreement on protocols for document structure and other interchange mechanisms necessary for widespread dissemination and use before official standards are set. * Accept that, in a transition period, de facto standards will have to be developed. * Capture information in a way that keeps all options open and provides for total convertibility: OCR, scanning of microfilm, producing microfilm from scanned documents, etc. * Work closely with the generators of information and the builders of networks and databases to ensure that continuing accessibility is a primary concern from the beginning. * Piggyback on standards under development for the broad market, and avoid library-specific standards; work with the vendors, in order to take advantage of that which is being standardized for the rest of the world. * Concentrate efforts on managing permanence in the digital world, rather than perfecting the longevity of a particular medium. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Additional comments on TIFF * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ During the brief discussion period that followed BATTIN's presentation, BARONAS explained that TIFF was not developed in collaboration with or under the auspices of AIIM. TIFF is a company product, not a standard, is owned by two corporations, and is always changing. BARONAS also observed that ANSI/AIIM MS53, a bi-level image file transfer format that allows unlike systems to exchange images, is compatible with TIFF as well as with DEC's architecture and IBM's MODCA/IOCA. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ HOOTON * Several questions to be considered in discussing text conversion * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ HOOTON introduced the final topic, text conversion, by noting that it is becoming an increasingly important part of the imaging business. Many people now realize that it enhances their system to be able to have more and more character data as part of their imaging system. Re the issue of OCR versus rekeying, HOOTON posed several questions: How does one get text into computer-readable form? Does one use automated processes? Does one attempt to eliminate the use of operators where possible? Standards for accuracy, he said, are extremely important: it makes a major difference in cost and time whether one sets as a standard 98.5 percent acceptance or 99.5 percent. He mentioned outsourcing as a possibility for converting text. Finally, what one does with the image to prepare it for the recognition process is also important, he said, because such preparation changes how recognition is viewed, as well as facilitates recognition itself. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ LESK * Roles of participants in CORE * Data flow * The scanning process * The image interface * Results of experiments involving the use of electronic resources and traditional paper copies * Testing the issue of serendipity * Conclusions * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Michael LESK, executive director, Computer Science Research, Bell Communications Research, Inc. (Bellcore), discussed the Chemical Online Retrieval Experiment (CORE), a cooperative project involving Cornell University, OCLC, Bellcore, and the American Chemical Society (ACS). LESK spoke on 1) how the scanning was performed, including the unusual feature of page segmentation, and 2) the use made of the text and the image in experiments. Working with the chemistry journals (because ACS has been saving its typesetting tapes since the mid-1970s and thus has a significant back-run of the most important chemistry journals in the United States), CORE is attempting to create an automated chemical library. Approximately a quarter of the pages by square inch are made up of images of quasi-pictorial material; dealing with the graphic components of the pages is extremely important. LESK described the roles of participants in CORE: 1) ACS provides copyright permission, journals on paper, journals on microfilm, and some of the definitions of the files; 2) at Bellcore, LESK chiefly performs the data preparation, while Dennis Egan performs experiments on the users of chemical abstracts, and supplies the indexing and numerous magnetic tapes; 3) Cornell provides the site of the experiment; 4) OCLC develops retrieval software and other user interfaces. Various manufacturers and publishers have furnished other help. Concerning data flow, Bellcore receives microfilm and paper from ACS; the microfilm is scanned by outside vendors, while the paper is scanned inhouse on an Improvision scanner, twenty pages per minute at 300 dpi, which provides sufficient quality for all practical uses. LESK would prefer to have more gray level, because one of the ACS journals prints on some colored pages, which creates a problem. Bellcore performs all this scanning, creates a page-image file, and also selects from the pages the graphics, to mix with the text file (which is discussed later in the Workshop). The user is always searching the ASCII file, but she or he may see a display based on the ASCII or a display based on the images. LESK illustrated how the program performs page analysis, and the image interface. (The user types several words, is presented with a list-- usually of the titles of articles contained in an issue--that derives from the ASCII, clicks on an icon and receives an image that mirrors an ACS page.) LESK also illustrated an alternative interface, based on text on the ASCII, the so-called SuperBook interface from Bellcore. LESK next presented the results of an experiment conducted by Dennis Egan and involving thirty-six students at Cornell, one third of them undergraduate chemistry majors, one third senior undergraduate chemistry majors, and one third graduate chemistry students. A third of them received the paper journals, the traditional paper copies and chemical abstracts on paper. A third received image displays of the pictures of the pages, and a third received the text display with pop-up graphics. The students were given several questions made up by some chemistry professors. The questions fell into five classes, ranging from very easy to very difficult, and included questions designed to simulate browsing as well as a traditional information retrieval-type task. LESK furnished the following results. In the straightforward question search--the question being, what is the phosphorus oxygen bond distance and hydroxy phosphate?--the students were told that they could take fifteen minutes and, then, if they wished, give up. The students with paper took more than fifteen minutes on average, and yet most of them gave up. The students with either electronic format, text or image, received good scores in reasonable time, hardly ever had to give up, and usually found the right answer. In the browsing study, the students were given a list of eight topics, told to imagine that an issue of the Journal of the American Chemical Society had just appeared on their desks, and were also told to flip through it and to find topics mentioned in the issue. The average scores were about the same. (The students were told to answer yes or no about whether or not particular topics appeared.) The errors, however, were quite different. The students with paper rarely said that something appeared when it had not. But they often failed to find something actually mentioned in the issue. The computer people found numerous things, but they also frequently said that a topic was mentioned when it was not. (The reason, of course, was that they were performing word searches. They were finding that words were mentioned and they were concluding that they had accomplished their task.) This question also contained a trick to test the issue of serendipity. The students were given another list of eight topics and instructed, without taking a second look at the journal, to recall how many of this new list of eight topics were in this particular issue. This was an attempt to see if they performed better at remembering what they were not looking for. They all performed about the same, paper or electronics, about 62 percent accurate. In short, LESK said, people were not very good when it came to serendipity, but they were no worse at it with computers than they were with paper. (LESK gave a parenthetical illustration of the learning curve of students who used SuperBook.) The students using the electronic systems started off worse than the ones using print, but by the third of the three sessions in the series had caught up to print. As one might expect, electronics provide a much better means of finding what one wants to read; reading speeds, once the object of the search has been found, are about the same. Almost none of the students could perform the hard task--the analogous transformation. (It would require the expertise of organic chemists to complete.) But an interesting result was that the students using the text search performed terribly, while those using the image system did best. That the text search system is driven by text offers the explanation. Everything is focused on the text; to see the pictures, one must press on an icon. Many students found the right article containing the answer to the question, but they did not click on the icon to bring up the right figure and see it. They did not know that they had found the right place, and thus got it wrong. The short answer demonstrated by this experiment was that in the event one does not know what to read, one needs the electronic systems; the electronic systems hold no advantage at the moment if one knows what to read, but neither do they impose a penalty. LESK concluded by commenting that, on one hand, the image system was easy to use. On the other hand, the text display system, which represented twenty man-years of work in programming and polishing, was not winning, because the text was not being read, just searched. The much easier system is highly competitive as well as remarkably effective for the actual chemists. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ERWAY * Most challenging aspect of working on AM * Assumptions guiding AM's approach * Testing different types of service bureaus * AM's requirement for 99.95 percent accuracy * Requirements for text-coding * Additional factors influencing AM's approach to coding * Results of AM's experience with rekeying * Other problems in dealing with service bureaus * Quality control the most time-consuming aspect of contracting out conversion * Long-term outlook uncertain * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ To Ricky ERWAY, associate coordinator, American Memory, Library of Congress, the constant variety of conversion projects taking place simultaneously represented perhaps the most challenging aspect of working on AM. Thus, the challenge was not to find a solution for text conversion but a tool kit of solutions to apply to LC's varied collections that need to be converted. ERWAY limited her remarks to the process of converting text to machine-readable form, and the variety of LC's text collections, for example, bound volumes, microfilm, and handwritten manuscripts. Two assumptions have guided AM's approach, ERWAY said: 1) A desire not to perform the conversion inhouse. Because of the variety of formats and types of texts, to capitalize the equipment and have the talents and skills to operate them at LC would be extremely expensive. Further, the natural inclination to upgrade to newer and better equipment each year made it reasonable for AM to focus on what it did best and seek external conversion services. Using service bureaus also allowed AM to have several types of operations take place at the same time. 2) AM was not a technology project, but an effort to improve access to library collections. Hence, whether text was converted using OCR or rekeying mattered little to AM. What mattered were cost and accuracy of results. AM considered different types of service bureaus and selected three to perform several small tests in order to acquire a sense of the field. The sample collections with which they worked included handwritten correspondence, typewritten manuscripts from the 1940s, and eighteenth-century printed broadsides on microfilm. On none of these samples was OCR performed; they were all rekeyed. AM had several special requirements for the three service bureaus it had engaged. For instance, any errors in the original text were to be retained. Working from bound volumes or anything that could not be sheet-fed also constituted a factor eliminating companies that would have performed OCR. AM requires 99.95 percent accuracy, which, though it sounds high, often means one or two errors per page. The initial batch of test samples contained several handwritten materials for which AM did not require text-coding. The results, ERWAY reported, were in all cases fairly comparable: for the most part, all three service bureaus achieved 99.95 percent accuracy. AM was satisfied with the work but surprised at the cost. As AM began converting whole collections, it retained the requirement for 99.95 percent accuracy and added requirements for text-coding. AM needed to begin performing work more than three years ago before LC requirements for SGML applications had been established. Since AM's goal was simply to retain any of the intellectual content represented by the formatting of the document (which would be lost if one performed a straight ASCII conversion), AM used "SGML-like" codes. These codes resembled SGML tags but were used without the benefit of document-type definitions. AM found that many service bureaus were not yet SGML-proficient. Additional factors influencing the approach AM took with respect to coding included: 1) the inability of any known microcomputer-based user-retrieval software to take advantage of SGML coding; and 2) the multiple inconsistencies in format of the older documents, which confirmed AM in its desire not to attempt to force the different formats to conform to a single document-type definition (DTD) and thus create the need for a separate DTD for each document. The five text collections that AM has converted or is in the process of converting include a collection of eighteenth-century broadsides, a collection of pamphlets, two typescript document collections, and a collection of 150 books. ERWAY next reviewed the results of AM's experience with rekeying, noting again that because the bulk of AM's materials are historical, the quality of the text often does not lend itself to OCR. While non-English speakers are less likely to guess or elaborate or correct typos in the original text, they are also less able to infer what we would; they also are nearly incapable of converting handwritten text. Another disadvantage of working with overseas keyers is that they are much less likely to telephone with questions, especially on the coding, with the result that they develop their own rules as they encounter new situations. Government contracting procedures and time frames posed a major challenge to performing the conversion. Many service bureaus are not accustomed to retaining the image, even if they perform OCR. Thus, questions of image format and storage media were somewhat novel to many of them. ERWAY also remarked other problems in dealing with service bureaus, for example, their inability to perform text conversion from the kind of microfilm that LC uses for preservation purposes. But quality control, in ERWAY's experience, was the most time-consuming aspect of contracting out conversion. AM has been attempting to perform a 10-percent quality review, looking at either every tenth document or every tenth page to make certain that the service bureaus are maintaining 99.95 percent accuracy. But even if they are complying with the requirement for accuracy, finding errors produces a desire to correct them and, in turn, to clean up the whole collection, which defeats the purpose to some extent. Even a double entry requires a character-by-character comparison to the original to meet the accuracy requirement. LC is not accustomed to publish imperfect texts, which makes attempting to deal with the industry standard an emotionally fraught issue for AM. As was mentioned in the previous day's discussion, going from 99.95 to 99.99 percent accuracy usually doubles costs and means a third keying or another complete run-through of the text. Although AM has learned much from its experiences with various collections and various service bureaus, ERWAY concluded pessimistically that no breakthrough has been achieved. Incremental improvements have occurred in some of the OCR technology, some of the processes, and some of the standards acceptances, which, though they may lead to somewhat lower costs, do not offer much encouragement to many people who are anxiously awaiting the day that the entire contents of LC are available on-line. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ZIDAR * Several answers to why one attempts to perform full-text conversion * Per page cost of performing OCR * Typical problems encountered during editing * Editing poor copy OCR vs. rekeying * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Judith ZIDAR, coordinator, National Agricultural Text Digitizing Program (NATDP), National Agricultural Library (NAL), offered several answers to the question of why one attempts to perform full-text conversion: 1) Text in an image can be read by a human but not by a computer, so of course it is not searchable and there is not much one can do with it. 2) Some material simply requires word-level access. For instance, the legal profession insists on full-text access to its material; with taxonomic or geographic material, which entails numerous names, one virtually requires word-level access. 3) Full text permits rapid browsing and searching, something that cannot be achieved in an image with today's technology. 4) Text stored as ASCII and delivered in ASCII is standardized and highly portable. 5) People just want full-text searching, even those who do not know how to do it. NAL, for the most part, is performing OCR at an actual cost per average-size page of approximately $7. NAL scans the page to create the electronic image and passes it through the OCR device. ZIDAR next rehearsed several typical problems encountered during editing. Praising the celerity of her student workers, ZIDAR observed that editing requires approximately five to ten minutes per page, assuming that there are no large tables to audit. Confusion among the three characters I, 1, and l, constitutes perhaps the most common problem encountered. Zeroes and O's also are frequently confused. Double M's create a particular problem, even on clean pages. They are so wide in most fonts that they touch, and the system simply cannot tell where one letter ends and the other begins. Complex page formats occasionally fail to columnate properly, which entails rescanning as though one were working with a single column, entering the ASCII, and decolumnating for better searching. With proportionally spaced text, OCR can have difficulty discerning what is a space and what are merely spaces between letters, as opposed to spaces between words, and therefore will merge text or break up words where it should not. ZIDAR said that it can often take longer to edit a poor-copy OCR than to key it from scratch. NAL has also experimented with partial editing of text, whereby project workers go into and clean up the format, removing stray characters but not running a spell-check. NAL corrects typos in the title and authors' names, which provides a foothold for searching and browsing. Even extremely poor-quality OCR (e.g., 60-percent accuracy) can still be searched, because numerous words are correct, while the important words are probably repeated often enough that they are likely to be found correct somewhere. Librarians, however, cannot tolerate this situation, though end users seem more willing to use this text for searching, provided that NAL indicates that it is unedited. ZIDAR concluded that rekeying of text may be the best route to take, in spite of numerous problems with quality control and cost. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Modifying an image before performing OCR * NAL's costs per page *AM's costs per page and experience with Federal Prison Industries * Elements comprising NATDP's costs per page * OCR and structured markup * Distinction between the structure of a document and its representation when put on the screen or printed * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ HOOTON prefaced the lengthy discussion that followed with several comments about modifying an image before one reaches the point of performing OCR. For example, in regard to an application containing a significant amount of redundant data, such as form-type data, numerous companies today are working on various kinds of form renewal, prior to going through a recognition process, by using dropout colors. Thus, acquiring access to form design or using electronic means are worth considering. HOOTON also noted that conversion usually makes or breaks one's imaging system. It is extremely important, extremely costly in terms of either capital investment or service, and determines the quality of the remainder of one's system, because it determines the character of the raw material used by the system. Concerning the four projects undertaken by NAL, two inside and two performed by outside contractors, ZIDAR revealed that an in-house service bureau executed the first at a cost between $8 and $10 per page for everything, including building of the database. The project undertaken by the Consultative Group on International Agricultural Research (CGIAR) cost approximately $10 per page for the conversion, plus some expenses for the software and building of the database. The Acid Rain Project--a two-disk set produced by the University of Vermont, consisting of Canadian publications on acid rain--cost $6.70 per page for everything, including keying of the text, which was double keyed, scanning of the images, and building of the database. The in-house project offered considerable ease of convenience and greater control of the process. On the other hand, the service bureaus know their job and perform it expeditiously, because they have more people. As a useful comparison, ERWAY revealed AM's costs as follows: $0.75 cents to $0.85 cents per thousand characters, with an average page containing 2,700 characters. Requirements for coding and imaging increase the costs. Thus, conversion of the text, including the coding, costs approximately $3 per page. (This figure does not include the imaging and database-building included in the NAL costs.) AM also enjoyed a happy experience with Federal Prison Industries, which precluded the necessity of going through the request-for-proposal process to award a contract, because it is another government agency. The prisoners performed AM's rekeying just as well as other service bureaus and proved handy as well. AM shipped them the books, which they would photocopy on a book-edge scanner. They would perform the markup on photocopies, return the books as soon as they were done with them, perform the keying, and return the material to AM on WORM disks. ZIDAR detailed the elements that constitute the previously noted cost of approximately $7 per page. Most significant is the editing, correction of errors, and spell-checkings, which though they may sound easy to perform require, in fact, a great deal of time. Reformatting text also takes a while, but a significant amount of NAL's expenses are for equipment, which was extremely expensive when purchased because it was one of the few systems on the market. The costs of equipment are being amortized over five years but are still quite high, nearly $2,000 per month. HOCKEY raised a general question concerning OCR and the amount of editing required (substantial in her experience) to generate the kind of structured markup necessary for manipulating the text on the computer or loading it into any retrieval system. She wondered if the speakers could extend the previous question about the cost-benefit of adding or exerting structured markup. ERWAY noted that several OCR systems retain italics, bolding, and other spatial formatting. While the material may not be in the format desired, these systems possess the ability to remove the original materials quickly from the hands of the people performing the conversion, as well as to retain that information so that users can work with it. HOCKEY rejoined that the current thinking on markup is that one should not say that something is italic or bold so much as why it is that way. To be sure, one needs to know that something was italicized, but how can one get from one to the other? One can map from the structure to the typographic representation. FLEISCHHAUER suggested that, given the 100 million items the Library holds, it may not be possible for LC to do more than report that a thing was in italics as opposed to why it was italics, although that may be desirable in some contexts. Promising to talk a bit during the afternoon session about several experiments OCLC performed on automatic recognition of document elements, and which they hoped to extend, WEIBEL said that in fact one can recognize the major elements of a document with a fairly high degree of reliability, at least as good as OCR. STEVENS drew a useful distinction between standard, generalized markup (i.e., defining for a document-type definition the structure of the document), and what he termed a style sheet, which had to do with italics, bolding, and other forms of emphasis. Thus, two different components are at work, one being the structure of the document itself (its logic), and the other being its representation when it is put on the screen or printed. ****** SESSION V. APPROACHES TO PREPARING ELECTRONIC TEXTS +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ HOCKEY * Text in ASCII and the representation of electronic text versus an image * The need to look at ways of using markup to assist retrieval * The need for an encoding format that will be reusable and multifunctional +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Susan HOCKEY, director, Center for Electronic Texts in the Humanities (CETH), Rutgers and Princeton Universities, announced that one talk (WEIBEL's) was moved into this session from the morning and that David Packard was unable to attend. The session would attempt to focus more on what one can do with a text in ASCII and the representation of electronic text rather than just an image, what one can do with a computer that cannot be done with a book or an image. It would be argued that one can do much more than just read a text, and from that starting point one can use markup and methods of preparing the text to take full advantage of the capability of the computer. That would lead to a discussion of what the European Community calls REUSABILITY, what may better be termed DURABILITY, that is, how to prepare or make a text that will last a long time and that can be used for as many applications as possible, which would lead to issues of improving intellectual access. HOCKEY urged the need to look at ways of using markup to facilitate retrieval, not just for referencing or to help locate an item that is retrieved, but also to put markup tags in a text to help retrieve the thing sought either with linguistic tagging or interpretation. HOCKEY also argued that little advancement had occurred in the software tools currently available for retrieving and searching text. She pressed the desideratum of going beyond Boolean searches and performing more sophisticated searching, which the insertion of more markup in the text would facilitate. Thinking about electronic texts as opposed to images means considering material that will never appear in print form, or print will not be its primary form, that is, material which only appears in electronic form. HOCKEY alluded to the history and the need for markup and tagging and electronic text, which was developed through the use of computers in the humanities; as MICHELSON had observed, Father Busa had started in 1949 to prepare the first-ever text on the computer. HOCKEY remarked several large projects, particularly in Europe, for the compilation of dictionaries, language studies, and language analysis, in which people have built up archives of text and have begun to recognize the need for an encoding format that will be reusable and multifunctional, that can be used not just to print the text, which may be assumed to be a byproduct of what one wants to do, but to structure it inside the computer so that it can be searched, built into a Hypertext system, etc. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ WEIBEL * OCLC's approach to preparing electronic text: retroconversion, keying of texts, more automated ways of developing data * Project ADAPT and the CORE Project * Intelligent character recognition does not exist * Advantages of SGML * Data should be free of procedural markup; descriptive markup strongly advocated * OCLC's interface illustrated * Storage requirements and costs for putting a lot of information on line * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Stuart WEIBEL, senior research scientist, Online Computer Library Center, Inc. (OCLC), described OCLC's approach to preparing electronic text. He argued that the electronic world into which we are moving must accommodate not only the future but the past as well, and to some degree even the present. Thus, starting out at one end with retroconversion and keying of texts, one would like to move toward much more automated ways of developing data. For example, Project ADAPT had to do with automatically converting document images into a structured document database with OCR text as indexing and also a little bit of automatic formatting and tagging of that text. The CORE project hosted by Cornell University, Bellcore, OCLC, the American Chemical Society, and Chemical Abstracts, constitutes WEIBEL's principal concern at the moment. This project is an example of converting text for which one already has a machine-readable version into a format more suitable for electronic delivery and database searching. (Since Michael LESK had previously described CORE, WEIBEL would say little concerning it.) Borrowing a chemical phrase, de novo synthesis, WEIBEL cited the Online Journal of Current Clinical Trials as an example of de novo electronic publishing, that is, a form in which the primary form of the information is electronic. Project ADAPT, then, which OCLC completed a couple of years ago and in fact is about to resume, is a model in which one takes page images either in paper or microfilm and converts them automatically to a searchable electronic database, either on-line or local. The operating assumption is that accepting some blemishes in the data, especially for retroconversion of materials, will make it possible to accomplish more. Not enough money is available to support perfect conversion. WEIBEL related several steps taken to perform image preprocessing (processing on the image before performing optical character recognition), as well as image postprocessing. He denied the existence of intelligent character recognition and asserted that what is wanted is page recognition, which is a long way off. OCLC has experimented with merging of multiple optical character recognition systems that will reduce errors from an unacceptable rate of 5 characters out of every l,000 to an unacceptable rate of 2 characters out of every l,000, but it is not good enough. It will never be perfect. Concerning the CORE Project, WEIBEL observed that Bellcore is taking the topography files, extracting the page images, and converting those topography files to SGML markup. LESK hands that data off to OCLC, which builds that data into a Newton database, the same system that underlies the on-line system in virtually all of the reference products at OCLC. The long-term goal is to make the systems interoperable so that not just Bellcore's system and OCLC's system can access this data, but other systems can as well, and the key to that is the Z39.50 common command language and the full-text extension. Z39.50 is fine for MARC records, but is not enough to do it for full text (that is, make full texts interoperable). WEIBEL next outlined the critical role of SGML for a variety of purposes, for example, as noted by HOCKEY, in the world of extremely large databases, using highly structured data to perform field searches. WEIBEL argued that by building the structure of the data in (i.e., the structure of the data originally on a printed page), it becomes easy to look at a journal article even if one cannot read the characters and know where the title or author is, or what the sections of that document would be. OCLC wants to make that structure explicit in the database, because it will be important for retrieval purposes. The second big advantage of SGML is that it gives one the ability to build structure into the database that can be used for display purposes without contaminating the data with instructions about how to format things. The distinction lies between procedural markup, which tells one where to put dots on the page, and descriptive markup, which describes the elements of a document. WEIBEL believes that there should be no procedural markup in the data at all, that the data should be completely unsullied by information about italics or boldness. That should be left up to the display device, whether that display device is a page printer or a screen display device. By keeping one's database free of that kind of contamination, one can make decisions down the road, for example, reorganize the data in ways that are not cramped by built-in notions of what should be italic and what should be bold. WEIBEL strongly advocated descriptive markup. As an example, he illustrated the index structure in the CORE data. With subsequent illustrated examples of markup, WEIBEL acknowledged the common complaint that SGML is hard to read in its native form, although markup decreases considerably once one gets into the body. Without the markup, however, one would not have the structure in the data. One can pass markup through a LaTeX processor and convert it relatively easily to a printed version of the document. WEIBEL next illustrated an extremely cluttered screen dump of OCLC's system, in order to show as much as possible the inherent capability on the screen. (He noted parenthetically that he had become a supporter of X-Windows as a result of the progress of the CORE Project.) WEIBEL also illustrated the two major parts of the interface: l) a control box that allows one to generate lists of items, which resembles a small table of contents based on key words one wishes to search, and 2) a document viewer, which is a separate process in and of itself. He demonstrated how to follow links through the electronic database simply by selecting the appropriate button and bringing them up. He also noted problems that remain to be accommodated in the interface (e.g., as pointed out by LESK, what happens when users do not click on the icon for the figure). Given the constraints of time, WEIBEL omitted a large number of ancillary items in order to say a few words concerning storage requirements and what will be required to put a lot of things on line. Since it is extremely expensive to reconvert all of this data, especially if it is just in paper form (and even if it is in electronic form in typesetting tapes), he advocated building journals electronically from the start. In that case, if one only has text graphics and indexing (which is all that one needs with de novo electronic publishing, because there is no need to go back and look at bit-maps of pages), one can get 10,000 journals of full text, or almost 6 million pages per year. These pages can be put in approximately 135 gigabytes of storage, which is not all that much, WEIBEL said. For twenty years, something less than three terabytes would be required. WEIBEL calculated the costs of storing this information as follows: If a gigabyte costs approximately $1,000, then a terabyte costs approximately $1 million to buy in terms of hardware. One also needs a building to put it in and a staff like OCLC to handle that information. So, to support a terabyte, multiply by five, which gives $5 million per year for a supported terabyte of data. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Tapes saved by ACS are the typography files originally supporting publication of the journal * Cost of building tagged text into the database * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ During the question-and-answer period that followed WEIBEL's presentation, these clarifications emerged. The tapes saved by the American Chemical Society are the typography files that originally supported the publication of the journal. Although they are not tagged in SGML, they are tagged in very fine detail. Every single sentence is marked, all the registry numbers, all the publications issues, dates, and volumes. No cost figures on tagging material on a per-megabyte basis were available. Because ACS's typesetting system runs from tagged text, there is no extra cost per article. It was unknown what it costs ACS to keyboard the tagged text rather than just keyboard the text in the cheapest process. In other words, since one intends to publish things and will need to build tagged text into a typography system in any case, if one does that in such a way that it can drive not only typography but an electronic system (which is what ACS intends to do--move to SGML publishing), the marginal cost is zero. The marginal cost represents the cost of building tagged text into the database, which is small. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ SPERBERG-McQUEEN * Distinction between texts and computers * Implications of recognizing that all representation is encoding * Dealing with complicated representations of text entails the need for a grammar of documents * Variety of forms of formal grammars * Text as a bit-mapped image does not represent a serious attempt to represent text in electronic form * SGML, the TEI, document-type declarations, and the reusability and longevity of data * TEI conformance explicitly allows extension or modification of the TEI tag set * Administrative background of the TEI * Several design goals for the TEI tag set * An absolutely fixed requirement of the TEI Guidelines * Challenges the TEI has attempted to face * Good texts not beyond economic feasibility * The issue of reproducibility or processability * The issue of mages as simulacra for the text redux * One's model of text determines what one's software can do with a text and has economic consequences * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Prior to speaking about SGML and markup, Michael SPERBERG-McQUEEN, editor, Text Encoding Initiative (TEI), University of Illinois-Chicago, first drew a distinction between texts and computers: Texts are abstract cultural and linguistic objects while computers are complicated physical devices, he said. Abstract objects cannot be placed inside physical devices; with computers one can only represent text and act upon those representations. The recognition that all representation is encoding, SPERBERG-McQUEEN argued, leads to the recognition of two things: 1) The topic description for this session is slightly misleading, because there can be no discussion of pros and cons of text-coding unless what one means is pros and cons of working with text with computers. 2) No text can be represented in a computer without some sort of encoding; images are one way of encoding text, ASCII is another, SGML yet another. There is no encoding without some information loss, that is, there is no perfect reproduction of a text that allows one to do away with the original. Thus, the question becomes, What is the most useful representation of text for a serious work? This depends on what kind of serious work one is talking about. The projects demonstrated the previous day all involved highly complex information and fairly complex manipulation of the textual material. In order to use that complicated information, one has to calculate it slowly or manually and store the result. It needs to be stored, therefore, as part of one's representation of the text. Thus, one needs to store the structure in the text. To deal with complicated representations of text, one needs somehow to control the complexity of the representation of a text; that means one needs a way of finding out whether a document and an electronic representation of a document is legal or not; and that means one needs a grammar of documents. SPERBERG-McQUEEN discussed the variety of forms of formal grammars, implicit and explicit, as applied to text, and their capabilities. He argued that these grammars correspond to different models of text that different developers have. For example, one implicit model of the text is that there is no internal structure, but just one thing after another, a few characters and then perhaps a start-title command, and then a few more characters and an end-title command. SPERBERG-McQUEEN also distinguished several kinds of text that have a sort of hierarchical structure that is not very well defined, which, typically, corresponds to grammars that are not very well defined, as well as hierarchies that are very well defined (e.g., the Thesaurus Linguae Graecae) and extremely complicated things such as SGML, which handle strictly hierarchical data very nicely. SPERBERG-McQUEEN conceded that one other model not illustrated on his two displays was the model of text as a bit-mapped image, an image of a page, and confessed to having been converted to a limited extent by the Workshop to the view that electronic images constitute a promising, probably superior alternative to microfilming. But he was not convinced that electronic images represent a serious attempt to represent text in electronic form. Many of their problems stem from the fact that they are not direct attempts to represent the text but attempts to represent the page, thus making them representations of representations. In this situation of increasingly complicated textual information and the need to control that complexity in a useful way (which begs the question of the need for good textual grammars), one has the introduction of SGML. With SGML, one can develop specific document-type declarations for specific text types or, as with the TEI, attempts to generate general document-type declarations that can handle all sorts of text. The TEI is an attempt to develop formats for text representation that will ensure the kind of reusability and longevity of data discussed earlier. It offers a way to stay alive in the state of permanent technological revolution. It has been a continuing challenge in the TEI to create document grammars that do some work in controlling the complexity of the textual object but also allowing one to represent the real text that one will find. Fundamental to the notion of the TEI is that TEI conformance allows one the ability to extend or modify the TEI tag set so that it fits the text that one is attempting to represent. SPERBERG-McQUEEN next outlined the administrative background of the TEI. The TEI is an international project to develop and disseminate guidelines for the encoding and interchange of machine-readable text. It is sponsored by the Association for Computers in the Humanities, the Association for Computational Linguistics, and the Association for Literary and Linguistic Computing. Representatives of numerous other professional societies sit on its advisory board. The TEI has a number of affiliated projects that have provided assistance by testing drafts of the guidelines. Among the design goals for the TEI tag set, the scheme first of all must meet the needs of research, because the TEI came out of the research community, which did not feel adequately served by existing tag sets. The tag set must be extensive as well as compatible with existing and emerging standards. In 1990, version 1.0 of the Guidelines was released (SPERBERG-McQUEEN illustrated their contents). SPERBERG-McQUEEN noted that one problem besetting electronic text has been the lack of adequate internal or external documentation for many existing electronic texts. The TEI guidelines as currently formulated contain few fixed requirements, but one of them is this: There must always be a document header, an in-file SGML tag that provides 1) a bibliographic description of the electronic object one is talking about (that is, who included it, when, what for, and under which title); and 2) the copy text from which it was derived, if any. If there was no copy text or if the copy text is unknown, then one states as much. Version 2.0 of the Guidelines was scheduled to be completed in fall 1992 and a revised third version is to be presented to the TEI advisory board for its endorsement this coming winter. The TEI itself exists to provide a markup language, not a marked-up text. Among the challenges the TEI has attempted to face is the need for a markup language that will work for existing projects, that is, handle the level of markup that people are using now to tag only chapter, section, and paragraph divisions and not much else. At the same time, such a language also will be able to scale up gracefully to handle the highly detailed markup which many people foresee as the future destination of much electronic text, and which is not the future destination but the present home of numerous electronic texts in specialized areas. SPERBERG-McQUEEN dismissed the lowest-common-denominator approach as unable to support the kind of applications that draw people who have never been in the public library regularly before, and make them come back. He advocated more interesting text and more intelligent text. Asserting that it is not beyond economic feasibility to have good texts, SPERBERG-McQUEEN noted that the TEI Guidelines listing 200-odd tags contains tags that one is expected to enter every time the relevant textual feature occurs. It contains all the tags that people need now, and it is not expected that everyone will tag things in the same way. The question of how people will tag the text is in large part a function of their reaction to what SPERBERG-McQUEEN termed the issue of reproducibility. What one needs to be able to reproduce are the things one wants to work with. Perhaps a more useful concept than that of reproducibility or recoverability is that of processability, that is, what can one get from an electronic text without reading it again in the original. He illustrated this contention with a page from Jan Comenius's bilingual Introduction to Latin. SPERBERG-McQUEEN returned at length to the issue of images as simulacra for the text, in order to reiterate his belief that in the long run more than images of pages of particular editions of the text are needed, because just as second-generation photocopies and second-generation microfilm degenerate, so second-generation representations tend to degenerate, and one tends to overstress some relatively trivial aspects of the text such as its layout on the page, which is not always significant, despite what the text critics might say, and slight other pieces of information such as the very important lexical ties between the English and Latin versions of Comenius's bilingual text, for example. Moreover, in many crucial respects it is easy to fool oneself concerning what a scanned image of the text will accomplish. For example, in order to study the transmission of texts, information concerning the text carrier is necessary, which scanned images simply do not always handle. Further, even the high-quality materials being produced at Cornell use much of the information that one would need if studying those books as physical objects. It is a choice that has been made. It is an arguably justifiable choice, but one does not know what color those pen strokes in the margin are or whether there was a stain on the page, because it has been filtered out. One does not know whether there were rips in the page because they do not show up, and on a couple of the marginal marks one loses half of the mark because the pen is very light and the scanner failed to pick it up, and so what is clearly a checkmark in the margin of the original becomes a little scoop in the margin of the facsimile. Standard problems for facsimile editions, not new to electronics, but also true of light-lens photography, and are remarked here because it is important that we not fool ourselves that even if we produce a very nice image of this page with good contrast, we are not replacing the manuscript any more than microfilm has replaced the manuscript. The TEI comes from the research community, where its first allegiance lies, but it is not just an academic exercise. It has relevance far beyond those who spend all of their time studying text, because one's model of text determines what one's software can do with a text. Good models lead to good software. Bad models lead to bad software. That has economic consequences, and it is these economic consequences that have led the European Community to help support the TEI, and that will lead, SPERBERG-McQUEEN hoped, some software vendors to realize that if they provide software with a better model of the text they can make a killing. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Implications of different DTDs and tag sets * ODA versus SGML * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ During the discussion that followed, several additional points were made. Neither AAP (i.e., Association of American Publishers) nor CALS (i.e., Computer-aided Acquisition and Logistics Support) has a document-type definition for ancient Greek drama, although the TEI will be able to handle that. Given this state of affairs and assuming that the technical-journal producers and the commercial vendors decide to use the other two types, then an institution like the Library of Congress, which might receive all of their publications, would have to be able to handle three different types of document definitions and tag sets and be able to distinguish among them. Office Document Architecture (ODA) has some advantages that flow from its tight focus on office documents and clear directions for implementation. Much of the ODA standard is easier to read and clearer at first reading than the SGML standard, which is extremely general. What that means is that if one wants to use graphics in TIFF and ODA, one is stuck, because ODA defines graphics formats while TIFF does not, whereas SGML says the world is not waiting for this work group to create another graphics format. What is needed is an ability to use whatever graphics format one wants. The TEI provides a socket that allows one to connect the SGML document to the graphics. The notation that the graphics are in is clearly a choice that one needs to make based on her or his environment, and that is one advantage. SGML is less megalomaniacal in attempting to define formats for all kinds of information, though more megalomaniacal in attempting to cover all sorts of documents. The other advantage is that the model of text represented by SGML is simply an order of magnitude richer and more flexible than the model of text offered by ODA. Both offer hierarchical structures, but SGML recognizes that the hierarchical model of the text that one is looking at may not have been in the minds of the designers, whereas ODA does not. ODA is not really aiming for the kind of document that the TEI wants to encompass. The TEI can handle the kind of material ODA has, as well as a significantly broader range of material. ODA seems to be very much focused on office documents, which is what it started out being called-- office document architecture. ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ CALALUCA * Text-encoding from a publisher's perspective * Responsibilities of a publisher * Reproduction of Migne's Latin series whole and complete with SGML tags based on perceived need and expected use * Particular decisions arising from the general decision to produce and publish PLD * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ The final speaker in this session, Eric CALALUCA, vice president, Chadwyck-Healey, Inc., spoke from the perspective of a publisher re text-encoding, rather than as one qualified to discuss methods of encoding data, and observed that the presenters sitting in the room, whether they had chosen to or not, were acting as publishers: making choices, gathering data, gathering information, and making assessments. CALALUCA offered the hard-won conviction that in publishing very large text files (such as PLD), one cannot avoid making personal judgments of appropriateness and structure. In CALALUCA's view, encoding decisions stem from prior judgments. Two notions have become axioms for him in the consideration of future sources for electronic publication: 1) electronic text publishing is as personal as any other kind of publishing, and questions of if and how to encode the data are simply a consequence of that prior decision; 2) all personal decisions are open to criticism, which is unavoidable. CALALUCA rehearsed his role as a publisher or, better, as an intermediary between what is viewed as a sound idea and the people who would make use of it. Finding the specialist to advise in this process is the core of that function. The publisher must monitor and hug the fine line between giving users what they want and suggesting what they might need. One responsibility of a publisher is to represent the desires of scholars and research librarians as opposed to bullheadedly forcing them into areas they would not choose to enter. CALALUCA likened the questions being raised today about data structure and standards to the decisions faced by the Abbe Migne himself during production of the Patrologia series in the mid-nineteenth century. Chadwyck-Healey's decision to reproduce Migne's Latin series whole and complete with SGML tags was also based upon a perceived need and an expected use. In the same way that Migne's work came to be far more than a simple handbook for clerics, PLD is already far more than a database for theologians. It is a bedrock source for the study of Western civilization, CALALUCA asserted. In regard to the decision to produce and publish PLD, the editorial board offered direct judgments on the question of appropriateness of these texts for conversion, their encoding and their distribution, and concluded that the best possible project was one that avoided overt intrusions or exclusions in so important a resource. Thus, the general decision to transmit the original collection as clearly as possible with the widest possible avenues for use led to other decisions: 1) To encode the data or not, SGML or not, TEI or not. Again, the expected user community asserted the need for normative tagging structures of important humanities texts, and the TEI seemed the most appropriate structure for that purpose. Research librarians, who are trained to view the larger impact of electronic text sources on 80 or 90 or 100 doctoral disciplines, loudly approved the decision to include tagging. They see what is coming better than the specialist who is completely focused on one edition of Ambrose's De Anima, and they also understand that the potential uses exceed present expectations. 2) What will be tagged and what will not. Once again, the board realized that one must tag the obvious. But in no way should one attempt to identify through encoding schemes every single discrete area of a text that might someday be searched. That was another decision. Searching by a column number, an author, a word, a volume, permitting combination searches, and tagging notations seemed logical choices as core elements. 3) How does one make the data available? Tieing it to a CD-ROM edition creates limitations, but a magnetic tape file that is very large, is accompanied by the encoding specifications, and that allows one to make local modifications also allows one to incorporate any changes one may desire within the bounds of private research, though exporting tag files from a CD-ROM could serve just as well. Since no one on the board could possibly anticipate each and every way in which a scholar might choose to mine this data bank, it was decided to satisfy the basics and make some provisions for what might come. 4) Not to encode the database would rob it of the interchangeability and portability these important texts should accommodate. For CALALUCA, the extensive options presented by full-text searching require care in text selection and strongly support encoding of data to facilitate the widest possible search strategies. Better software can always be created, but summoning the resources, the people, and the energy to reconvert the text is another matter. PLD is being encoded, captured, and distributed, because to Chadwyck-Healey and the board it offers the widest possible array of future research applications that can be seen today. CALALUCA concluded by urging the encoding of all important text sources in whatever way seems most appropriate and durable at the time, without blanching at the thought that one's work may require emendation in the future. (Thus, Chadwyck-Healey produced a very large humanities text database before the final release of the TEI Guidelines.) ****** +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ DISCUSSION * Creating texts with markup advocated * Trends in encoding * The TEI and the issue of interchangeability of standards * A misconception concerning the TEI * Implications for an institution like LC in the event that a multiplicity of DTDs develops * Producing images as a first step towards possible conversion to full text through character recognition * The AAP tag sets as a common starting point and the need for caution * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ HOCKEY prefaced the discussion that followed with several comments in favor of creating texts with markup and on trends in encoding. In the future, when many more texts are available for on-line searching, real problems in finding what is wanted will develop, if one is faced with millions of words of data. It therefore becomes important to consider putting markup in texts to help searchers home in on the actual things they wish to retrieve. Various approaches to refining retrieval methods toward this end include building on a computer version of a dictionary and letting the computer look up words in it to obtain more information about the semantic structure or semantic field of a word, its grammatical structure, and syntactic structure. HOCKEY commented on the present keen interest in the encoding world in creating: 1) machine-readable versions of dictionaries that can be initially tagged in SGML, which gives a structure to the dictionary entry; these entries can then be converted into a more rigid or otherwise different database structure inside the computer, which can be treated as a dynamic tool for searching mechanisms; 2) large bodies of text to study the language. In order to incorporate more sophisticated mechanisms, more about how words behave needs to be known, which can be learned in part from information in dictionaries. However, the last ten years have seen much interest in studying the structure of printed dictionaries converted into computer-readable form. The information one derives about many words from those is only partial, one or two definitions of the common or the usual meaning of a word, and then numerous definitions of unusual usages. If the computer is using a dictionary to help retrieve words in a text, it needs much more information about the common usages, because those are the ones that occur over and over again. Hence the current interest in developing large bodies of text in computer-readable form in order to study the language. Several projects are engaged in compiling, for example, 100 million words. HOCKEY described one with which she was associated briefly at Oxford University involving compilation of 100 million words of British English: about 10 percent of that will contain detailed linguistic tagging encoded in SGML; it will have word class taggings, with words identified as nouns, verbs, adjectives, or other parts of speech. This tagging can then be used by programs which will begin to learn a bit more about the structure of the language, and then, can go to tag more text. HOCKEY said that the more that is tagged accurately, the more one can refine the tagging process and thus the bigger body of text one can build up with linguistic tagging incorporated into it. Hence, the more tagging or annotation there is in the text, the more one may begin to learn about language and the more it will help accomplish more intelligent OCR. She recommended the development of software tools that will help one begin to understand more about a text, which can then be applied to scanning images of that text in that format and to using more intelligence to help one interpret or understand the text. HOCKEY posited the need to think about common methods of text-encoding for a long time to come, because building these large bodies of text is extremely expensive and will only be done once. In the more general discussion on approaches to encoding that followed, these points were made: BESSER identified the underlying problem with standards that all have to struggle with in adopting a standard, namely, the tension between a very highly defined standard that is very interchangeable but does not work for everyone because something is lacking, and a standard that is less defined, more open, more adaptable, but less interchangeable. Contending that the way in which people use SGML is not sufficiently defined, BESSER wondered 1) if people resist the TEI because they think it is too defined in certain things they do not fit into, and 2) how progress with interchangeability can be made without frightening people away. SPERBERG-McQUEEN replied that the published drafts of the TEI had met with surprisingly little objection on the grounds that they do not allow one to handle X or Y or Z. Particular concerns of the affiliated projects have led, in practice, to discussions of how extensions are to be made; the primary concern of any project has to be how it can be represented locally, thus making interchange secondary. The TEI has received much criticism based on the notion that everything in it is required or even recommended, which, as it happens, is a misconception from the beginning, because none of it is required and very little is actually actively recommended for all cases, except that one document one's source. SPERBERG-McQUEEN agreed with BESSER about this trade-off: all the projects in a set of twenty TEI-conformant projects will not necessarily tag the material in the same way. One result of the TEI will be that the easiest problems will be solved--those dealing with the external form of the information; but the problem that is hardest in interchange is that one is not encoding what another wants, and vice versa. Thus, after the adoption of a common notation, the differences in the underlying conceptions of what is interesting about texts become more visible. The success of a standard like the TEI will lie in the ability of the recipient of interchanged texts to use some of what it contains and to add the information that was not encoded that one wants, in a layered way, so that texts can be gradually enriched and one does not have to put in everything all at once. Hence, having a well-behaved markup scheme is important. STEVENS followed up on the paradoxical analogy that BESSER alluded to in the example of the MARC records, namely, the formats that are the same except that they are different. STEVENS drew a parallel between document-type definitions and MARC records for books and serials and maps, where one has a tagging structure and there is a text-interchange. STEVENS opined that the producers of the information will set the terms for the standard (i.e., develop document-type definitions for the users of their products), creating a situation that will be problematical for an institution like the Library of Congress, which will have to deal with the DTDs in the event that a multiplicity of them develops. Thus, numerous people are seeking a standard but cannot find the tag set that will be acceptable to them and their clients. SPERBERG-McQUEEN agreed with this view, and said that the situation was in a way worse: attempting to unify arbitrary DTDs resembled attempting to unify a MARC record with a bibliographic record done according to the Prussian instructions. According to STEVENS, this situation occurred very early in the process. WATERS recalled from early discussions on Project Open Book the concern of many people that merely by producing images, POB was not really enhancing intellectual access to the material. Nevertheless, not wishing to overemphasize the opposition between imaging and full text, WATERS stated that POB views getting the images as a first step toward possibly converting to full text through character recognition, if the technology is appropriate. WATERS also emphasized that encoding is involved even with a set of images. SPERBERG-McQUEEN agreed with WATERS that one can create an SGML document consisting wholly of images. At first sight, organizing graphic images with an SGML document may not seem to offer great advantages, but the advantages of the scheme WATERS described would be precisely that ability to move into something that is more of a multimedia document: a combination of transcribed text and page images. WEIBEL concurred in this judgment, offering evidence from Project ADAPT, where a page is divided into text elements and graphic elements, and in fact the text elements are organized by columns and lines. These lines may be used as the basis for distributing documents in a network environment. As one develops software intelligent enough to recognize what those elements are, it makes sense to apply SGML to an image initially, that may, in fact, ultimately become more and more text, either through OCR or edited OCR or even just through keying. For WATERS, the labor of composing the document and saying this set of documents or this set of images belongs to this document constitutes a significant investment. WEIBEL also made the point that the AAP tag sets, while not excessively prescriptive, offer a common starting point; they do not define the structure of the documents, though. They have some recommendations about DTDs one could use as examples, but they do just suggest tag sets. For example, the CORE project attempts to use the AAP markup as much as possible, but there are clearly areas where structure must be added. That in no way contradicts the use of AAP tag sets. SPERBERG-McQUEEN noted that the TEI prepared a long working paper early on about the AAP tag set and what it lacked that the TEI thought it needed, and a fairly long critique of the naming conventions, which has led to a very different style of naming in the TEI. He stressed the importance of the opposition between prescriptive markup, the kind that a publisher or anybody can do when producing documents de novo, and descriptive markup, in which one has to take what the text carrier provides. In these particular tag sets it is easy to overemphasize this opposition, because the AAP tag set is extremely flexible. Even if one just used the DTDs, they allow almost anything to appear almost anywhere. ****** SESSION VI. COPYRIGHT ISSUES +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ PETERS * Several cautions concerning copyright in an electronic environment * Review of copyright law in the United States * The notion of the public good and the desirability of incentives to promote it * What copyright protects * Works not protected by copyright * The rights of copyright holders * Publishers' concerns in today's electronic environment * Compulsory licenses * The price of copyright in a digital medium and the need for cooperation * Additional clarifications * Rough justice oftentimes the outcome in numerous copyright matters * Copyright in an electronic society * Copyright law always only sets up the boundaries; anything can be changed by contract * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Marybeth PETERS, policy planning adviser to the Register of Copyrights, Library of Congress, made several general comments and then opened the floor to discussion of subjects of interest to the audience. Having attended several sessions in an effort to gain a sense of what people did and where copyright would affect their lives, PETERS expressed the following cautions: * If one takes and converts materials and puts them in new forms, then, from a copyright point of view, one is creating something and will receive some rights. * However, if what one is converting already exists, a question immediately arises about the status of the materials in question. * Putting something in the public domain in the United States offers some freedom from anxiety, but distributing it throughout the world on a network is another matter, even if one has put it in the public domain in the United States. Re foreign laws, very frequently a work can be in the public domain in the United States but protected in other countries. Thus, one must consider all of the places a work may reach, lest one unwittingly become liable to being faced with a suit for copyright infringement, or at least a letter demanding discussion of what one is doing. PETERS reviewed copyright law in the United States. The U.S. Constitution effectively states that Congress has the power to enact copyright laws for two purposes: 1) to encourage the creation and dissemination of intellectual works for the good of society as a whole; and, significantly, 2) to give creators and those who package and disseminate materials the economic rewards that are due them. Congress strives to strike a balance, which at times can become an emotional issue. The United States has never accepted the notion of the natural right of an author so much as it has accepted the notion of the public good and the desirability of incentives to promote it. This state of affairs, however, has created strains on the international level and is the reason for several of the differences in the laws that we have. Today the United States protects almost every kind of work that can be called an expression of an author. The standard for gaining copyright protection is simply originality. This is a low standard and means that a work is not copied from something else, as well as shows a certain minimal amount of authorship. One can also acquire copyright protection for making a new version of preexisting material, provided it manifests some spark of creativity. However, copyright does not protect ideas, methods, systems--only the way that one expresses those things. Nor does copyright protect anything that is mechanical, anything that does not involve choice, or criteria concerning whether or not one should do a thing. For example, the results of a process called declicking, in which one mechanically removes impure sounds from old recordings, are not copyrightable. On the other hand, the choice to record a song digitally and to increase the sound of violins or to bring up the tympani constitutes the results of conversion that are copyrightable. Moreover, if a work is protected by copyright in the United States, one generally needs the permission of the copyright owner to convert it. Normally, who will own the new--that is, converted- -material is a matter of contract. In the absence of a contract, the person who creates the new material is the author and owner. But people do not generally think about the copyright implications until after the fact. PETERS stressed the need when dealing with copyrighted works to think about copyright in advance. One's bargaining power is much greater up front than it is down the road. PETERS next discussed works not protected by copyright, for example, any work done by a federal employee as part of his or her official duties is in the public domain in the United States. The issue is not wholly free of doubt concerning whether or not the work is in the public domain outside the United States. Other materials in the public domain include: any works published more than seventy-five years ago, and any work published in the United States more than twenty-eight years ago, whose copyright was not renewed. In talking about the new technology and putting material in a digital form to send all over the world, PETERS cautioned, one must keep in mind that while the rights may not be an issue in the United States, they may be in different parts of the world, where most countries previously employed a copyright term of the life of the author plus fifty years. PETERS next reviewed the economics of copyright holding. Simply, economic rights are the rights to control the reproduction of a work in any form. They belong to the author, or in the case of a work made for hire, the employer. The second right, which is critical to conversion, is the right to change a work. The right to make new versions is perhaps one of the most significant rights of authors, particularly in an electronic world. The third right is the right to publish the work and the right to disseminate it, something that everyone who deals in an electronic medium needs to know. The basic rule is if a copy is sold, all rights of distribution are extinguished with the sale of that copy. The key is that it must be sold. A number of companies overcome this obstacle by leasing or renting their product. These companies argue that if the material is rented or leased and not sold, they control the uses of a work. The fourth right, and one very important in a digital world, is a right of public performance, which means the right to show the work sequentially. For example, copyright owners control the showing of a CD-ROM product in a public place such as a public library. The reverse side of public performance is something called the right of public display. Moral rights also exist, which at the federal level apply only to very limited visual works of art, but in theory may apply under contract and other principles. Moral rights may include the right of an author to have his or her name on a work, the right of attribution, and the right to object to distortion or mutilation--the right of integrity. The way copyright law is worded gives much latitude to activities such as preservation; to use of material for scholarly and research purposes when the user does not make multiple copies; and to the generation of facsimile copies of unpublished works by libraries for themselves and other libraries. But the law does not allow anyone to become the distributor of the product for the entire world. In today's electronic environment, publishers are extremely concerned that the entire world is networked and can obtain the information desired from a single copy in a single library. Hence, if there is to be only one sale, which publishers may choose to live with, they will obtain their money in other ways, for example, from access and use. Hence, the development of site licenses and other kinds of agreements to cover what publishers believe they should be compensated for. Any solution that the United States takes today has to consider the international arena. Noting that the United States is a member of the Berne Convention and subscribes to its provisions, PETERS described the permissions process. She also defined compulsory licenses. A compulsory license, of which the United States has had a few, builds into the law the right to use a work subject to certain terms and conditions. In the international arena, however, the ability to use compulsory licenses is extremely limited. Thus, clearinghouses and other collectives comprise one option that has succeeded in providing for use of a work. Often overlooked when one begins to use copyrighted material and put products together is how expensive the permissions process and managing it is. According to PETERS, the price of copyright in a digital medium, whatever solution is worked out, will include managing and assembling the database. She strongly recommended that publishers and librarians or people with various backgrounds cooperate to work out administratively feasible systems, in order to produce better results. In the lengthy question-and-answer period that followed PETERS's presentation, the following points emerged: * The Copyright Office maintains that anything mechanical and totally exhaustive probably is not protected. In the event that what an individual did in developing potentially copyrightable material is not understood, the Copyright Office will ask about the creative choices the applicant chose to make or not to make. As a practical matter, if one believes she or he has made enough of those choices, that person has a right to assert a copyright and someone else must assert that the work is not copyrightable. The more mechanical, the more automatic, a thing is, the less likely it is to be copyrightable. * Nearly all photographs are deemed to be copyrightable, but no one worries about them much, because everyone is free to take the same image. Thus, a photographic copyright represents what is called a "thin" copyright. The photograph itself must be duplicated, in order for copyright to be violated. * The Copyright Office takes the position that X-rays are not copyrightable because they are mechanical. It can be argued whether or not image enhancement in scanning can be protected. One must exercise care with material created with public funds and generally in the public domain. An article written by a federal employee, if written as part of official duties, is not copyrightable. However, control over a scientific article written by a National Institutes of Health grantee (i.e., someone who receives money from the U.S. government), depends on NIH policy. If the government agency has no policy (and that policy can be contained in its regulations, the contract, or the grant), the author retains copyright. If a provision of the contract, grant, or regulation states that there will be no copyright, then it does not exist. When a work is created, copyright automatically comes into existence unless something exists that says it does not. * An enhanced electronic copy of a print copy of an older reference work in the public domain that does not contain copyrightable new material is a purely mechanical rendition of the original work, and is not copyrightable. * Usually, when a work enters the public domain, nothing can remove it. For example, Congress recently passed into law the concept of automatic renewal, which means that copyright on any work published between l964 and l978 does not have to be renewed in order to receive a seventy-five-year term. But any work not renewed before 1964 is in the public domain. * Concerning whether or not the United States keeps track of when authors die, nothing was ever done, nor is anything being done at the moment by the Copyright Office. * Software that drives a mechanical process is itself copyrightable. If one changes platforms, the software itself has a copyright. The World Intellectual Property Organization will hold a symposium 28 March through 2 April l993, at Harvard University, on digital technology, and will study this entire issue. If one purchases a computer software package, such as MacPaint, and creates something new, one receives protection only for that which has been added. PETERS added that often in copyright matters, rough justice is the outcome, for example, in collective licensing, ASCAP (i.e., American Society of Composers, Authors, and Publishers), and BMI (i.e., Broadcast Music, Inc.), where it may seem that the big guys receive more than their due. Of course, people ought not to copy a creative product without paying for it; there should be some compensation. But the truth of the world, and it is not a great truth, is that the big guy gets played on the radio more frequently than the little guy, who has to do much more until he becomes a big guy. That is true of every author, every composer, everyone, and, unfortunately, is part of life. Copyright always originates with the author, except in cases of works made for hire. (Most software falls into this category.) When an author sends his article to a journal, he has not relinquished copyright, though he retains the right to relinquish it. The author receives absolutely everything. The less prominent the author, the more leverage the publisher will have in contract negotiations. In order to transfer the rights, the author must sign an agreement giving them away. In an electronic society, it is important to be able to license a writer and work out deals. With regard to use of a work, it usually is much easier when a publisher holds the rights. In an electronic era, a real problem arises when one is digitizing and making information available. PETERS referred again to electronic licensing clearinghouses. Copyright ought to remain with the author, but as one moves forward globally in the electronic arena, a middleman who can handle the various rights becomes increasingly necessary. The notion of copyright law is that it resides with the individual, but in an on-line environment, where a work can be adapted and tinkered with by many individuals, there is concern. If changes are authorized and there is no agreement to the contrary, the person who changes a work owns the changes. To put it another way, the person who acquires permission to change a work technically will become the author and the owner, unless some agreement to the contrary has been made. It is typical for the original publisher to try to control all of the versions and all of the uses. Copyright law always only sets up the boundaries. Anything can be changed by contract. ****** SESSION VII. CONCLUSION +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ GENERAL DISCUSSION * Two questions for discussion * Different emphases in the Workshop * Bringing the text and image partisans together * Desiderata in planning the long-term development of something * Questions surrounding the issue of electronic deposit * Discussion of electronic deposit as an allusion to the issue of standards * Need for a directory of preservation projects in digital form and for access to their digitized files * CETH's catalogue of machine-readable texts in the humanities * What constitutes a publication in the electronic world? * Need for LC to deal with the concept of on-line publishing * LC's Network Development Office exploring the limits of MARC as a standard in terms of handling electronic information * Magnitude of the problem and the need for distributed responsibility in order to maintain and store electronic information * Workshop participants to be viewed as a starting point * Development of a network version of AM urged * A step toward AM's construction of some sort of apparatus for network access * A delicate and agonizing policy question for LC * Re the issue of electronic deposit, LC urged to initiate a catalytic process in terms of distributed responsibility * Suggestions for cooperative ventures * Commercial publishers' fears * Strategic questions for getting the image and text people to think through long-term cooperation * Clarification of the driving force behind both the Perseus and the Cornell Xerox projects * +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ In his role as moderator of the concluding session, GIFFORD raised two questions he believed would benefit from discussion: 1) Are there enough commonalities among those of us that have been here for two days so that we can see courses of action that should be taken in the future? And, if so, what are they and who might take them? 2) Partly derivative from that, but obviously very dangerous to LC as host, do you see a role for the Library of Congress in all this? Of course, the Library of Congress holds a rather special status in a number of these matters, because it is not perceived as a player with an economic stake in them, but are there roles that LC can play that can help advance us toward where we are heading? Describing himself as an uninformed observer of the technicalities of the last two days, GIFFORD detected three different emphases in the Workshop: 1) people who are very deeply committed to text; 2) people who are almost passionate about images; and 3) a few people who are very committed to what happens to the networks. In other words, the new networking dimension, the accessibility of the processability, the portability of all this across the networks. How do we pull those three together? Adding a question that reflected HOCKEY's comment that this was the fourth workshop she had attended in the previous thirty days, FLEISCHHAUER wondered to what extent this meeting had reinvented the wheel, or if it had contributed anything in the way of bringing together a different group of people from those who normally appear on the workshop circuit. HOCKEY confessed to being struck at this meeting and the one the Electronic Pierce Consortium organized the previous week that this was a coming together of people working on texts and not images. Attempting to bring the two together is something we ought to be thinking about for the future: How one can think about working with image material to begin with, but structuring it and digitizing it in such a way that at a later stage it can be interpreted into text, and find a common way of building text and images together so that they can be used jointly in the future, with the network support to begin there because that is how people will want to access it. In planning the long-term development of something, which is what is being done in electronic text, HOCKEY stressed the importance not only of discussing the technical aspects of how one does it but particularly of thinking about what the people who use the stuff will want to do. But conversely, there are numerous things that people start to do with electronic text or material that nobody ever thought of in the beginning. LESK, in response to the question concerning the role of the Library of Congress, remarked the often suggested desideratum of having electronic deposit: Since everything is now computer-typeset, an entire decade of material that was machine-readable exists, but the publishers frequently did not save it; has LC taken any action to have its copyright deposit operation start collecting these machine-readable versions? In the absence of PETERS, GIFFORD replied that the question was being actively considered but that that was only one dimension of the problem. Another dimension is the whole question of the integrity of the original electronic document. It becomes highly important in science to prove authorship. How will that be done? ERWAY explained that, under the old policy, to make a claim for a copyright for works that were published in electronic form, including software, one had to submit a paper copy of the first and last twenty pages of code--something that represented the work but did not include the entire work itself and had little value to anyone. As a temporary measure, LC has claimed the right to demand electronic versions of electronic publications. This measure entails a proactive role for the Library to say that it wants a particular electronic version. Publishers then have perhaps a year to submit it. But the real problem for LC is what to do with all this material in all these different formats. Will the Library mount it? How will it give people access to it? How does LC keep track of the appropriate computers, software, and media? The situation is so hard to control, ERWAY said, that it makes sense for each publishing house to maintain its own archive. But LC cannot enforce that either. GIFFORD acknowledged LESK's suggestion that establishing a priority offered the solution, albeit a fairly complicated one. But who maintains that register?, he asked. GRABER noted that LC does attempt to collect a Macintosh version and the IBM-compatible version of software. It does not collect other versions. But while true for software, BYRUM observed, this reply does not speak to materials, that is, all the materials that were published that were on somebody's microcomputer or driver tapes at a publishing office across the country. LC does well to acquire specific machine-readable products selectively that were intended to be machine-readable. Materials that were in machine-readable form at one time, BYRUM said, would be beyond LC's capability at the moment, insofar as attempting to acquire, organize, and preserve them are concerned--and preservation would be the most important consideration. In this connection, GIFFORD reiterated the need to work out some sense of distributive responsibility for a number of these issues, which inevitably will require significant cooperation and discussion. Nobody can do it all. LESK suggested that some publishers may look with favor on LC beginning to serve as a depository of tapes in an electronic manuscript standard. Publishers may view this as a service that they did not have to perform and they might send in tapes. However, SPERBERG-McQUEEN countered, although publishers have had equivalent services available to them for a long time, the electronic text archive has never turned away or been flooded with tapes and is forever sending feedback to the depositor. Some publishers do send in tapes. ANDRE viewed this discussion as an allusion to the issue of standards. She recommended that the AAP standard and the TEI, which has already been somewhat harmonized internationally and which also shares several compatibilities with the AAP, be harmonized to ensure sufficient compatibility in the software. She drew the line at saying LC ought to be the locus or forum for such harmonization. Taking the group in a slightly different direction, but one where at least in the near term LC might play a helpful role, LYNCH remarked the plans of a number of projects to carry out preservation by creating digital images that will end up in on-line or near-line storage at some institution. Presumably, LC will link this material somehow to its on-line catalog in most cases. Thus, it is in a digital form. LYNCH had the impression that many of these institutions would be willing to make those files accessible to other people outside the institution, provided that there is no copyright problem. This desideratum will require propagating the knowledge that those digitized files exist, so that they can end up in other on-line catalogs. Although uncertain about the mechanism for achieving this result, LYNCH said that it warranted scrutiny because it seemed to be connected to some of the basic issues of cataloging and distribution of records. It would be foolish, given the amount of work that all of us have to do and our meager resources, to discover multiple institutions digitizing the same work. Re microforms, LYNCH said, we are in pretty good shape. BATTIN called this a big problem and noted that the Cornell people (who had already departed) were working on it. At issue from the beginning was to learn how to catalog that information into RLIN and then into OCLC, so that it would be accessible. That issue remains to be resolved. LYNCH rejoined that putting it into OCLC or RLIN was helpful insofar as somebody who is thinking of performing preservation activity on that work could learn about it. It is not necessarily helpful for institutions to make that available. BATTIN opined that the idea was that it not only be for preservation purposes but for the convenience of people looking for this material. She endorsed LYNCH's dictum that duplication of this effort was to be avoided by every means. HOCKEY informed the Workshop about one major current activity of CETH, namely a catalogue of machine-readable texts in the humanities. Held on RLIN at present, the catalogue has been concentrated on ASCII as opposed to digitized images of text. She is exploring ways to improve the catalogue and make it more widely available, and welcomed suggestions about these concerns. CETH owns the records, which are not just restricted to RLIN, and can distribute them however it wishes. Taking up LESK's earlier question, BATTIN inquired whether LC, since it is accepting electronic files and designing a mechanism for dealing with that rather than putting books on shelves, would become responsible for the National Copyright Depository of Electronic Materials. Of course that could not be accomplished overnight, but it would be something LC could plan for. GIFFORD acknowledged that much thought was being devoted to that set of problems and returned the discussion to the issue raised by LYNCH--whether or not putting the kind of records that both BATTIN and HOCKEY have been talking about in RLIN is not a satisfactory solution. It seemed to him that RLIN answered LYNCH's original point concerning some kind of directory for these kinds of materials. In a situation where somebody is attempting to decide whether or not to scan this or film that or to learn whether or not someone has already done so, LYNCH suggested, RLIN is helpful, but it is not helpful in the case of a local, on-line catalogue. Further, one would like to have her or his system be aware that that exists in digital form, so that one can present it to a patron, even though one did not digitize it, if it is out of copyright. The only way to make those linkages would be to perform a tremendous amount of real-time look-up, which would be awkward at best, or periodically to yank the whole file from RLIN and match it against one's own stuff, which is a nuisance. But where, ERWAY inquired, does one stop including things that are available with Internet, for instance, in one's local catalogue? It almost seems that that is LC's means to acquire access to them. That represents LC's new form of library loan. Perhaps LC's new on-line catalogue is an amalgamation of all these catalogues on line. LYNCH conceded that perhaps that was true in the very long term, but was not applicable to scanning in the short term. In his view, the totals cited by Yale, 10,000 books over perhaps a four-year period, and 1,000-1,500 books from Cornell, were not big numbers, while searching all over creation for relatively rare occurrences will prove to be less efficient. As GIFFORD wondered if this would not be a separable file on RLIN and could be requested from them, BATTIN interjected that it was easily accessible to an institution. SEVERTSON pointed out that that file, cum enhancements, was available with reference information on CD-ROM, which makes it a little more available. In HOCKEY's view, the real question facing the Workshop is what to put in this catalogue, because that raises the question of what constitutes a publication in the electronic world. (WEIBEL interjected that Eric Joule in OCLC's Office of Research is also wrestling with this particular problem, while GIFFORD thought it sounded fairly generic.) HOCKEY contended that a majority of texts in the humanities are in the hands of either a small number of large research institutions or individuals and are not generally available for anyone else to access at all. She wondered if these texts ought to be catalogued. After argument proceeded back and forth for several minutes over why cataloguing might be a necessary service, LEBRON suggested that this issue involved the responsibility of a publisher. The fact that someone has created something electronically and keeps it under his or her control does not constitute publication. Publication implies dissemination. While it would be important for a scholar to let other people know that this creation exists, in many respects this is no different from an unpublished manuscript. That is what is being accessed in there, except that now one is not looking at it in the hard-copy but in the electronic environment. LEBRON expressed puzzlement at the variety of ways electronic publishing has been viewed. Much of what has been discussed throughout these two days has concerned CD-ROM publishing, whereas in the on-line environment that she confronts, the constraints and challenges are very different. Sooner or later LC will have to deal with the concept of on-line publishing. Taking up the comment ERWAY made earlier about storing copies, LEBRON gave her own journal as an example. How would she deposit OJCCT for copyright?, she asked, because the journal will exist in the mainframe at OCLC and people will be able to access it. Here the situation is different, ownership versus access, and is something that arises with publication in the on-line environment, faster than is sometimes realized. Lacking clear answers to all of these questions herself, LEBRON did not anticipate that LC would be able to take a role in helping to define some of them for quite a while. GREENFIELD observed that LC's Network Development Office is attempting, among other things, to explore the limits of MARC as a standard in terms of handling electronic information. GREENFIELD also noted that Rebecca GUENTHER from that office gave a paper to the American Society for Information Science (ASIS) summarizing several of the discussion papers that were coming out of the Network Development Office. GREENFIELD said he understood that that office had a list-server soliciting just the kind of feedback received today concerning the difficulties of identifying and cataloguing electronic information. GREENFIELD hoped that everybody would be aware of that and somehow contribute to that conversation. Noting two of LC's roles, first, to act as a repository of record for material that is copyrighted in this country, and second, to make materials it holds available in some limited form to a clientele that goes beyond Congress, BESSER suggested that it was incumbent on LC to extend those responsibilities to all the things being published in electronic form. This would mean eventually accepting electronic formats. LC could require that at some point they be in a certain limited set of formats, and then develop mechanisms for allowing people to access those in the same way that other things are accessed. This does not imply that they are on the network and available to everyone. LC does that with most of its bibliographic records, BESSER said, which end up migrating to the utility (e.g., OCLC) or somewhere else. But just as most of LC's books are available in some form through interlibrary loan or some other mechanism, so in the same way electronic formats ought to be available to others in some format, though with some copyright considerations. BESSER was not suggesting that these mechanisms be established tomorrow, only that they seemed to fall within LC's purview, and that there should be long-range plans to establish them. Acknowledging that those from LC in the room agreed with BESSER concerning the need to confront difficult questions, GIFFORD underscored the magnitude of the problem of what to keep and what to select. GIFFORD noted that LC currently receives some 31,000 items per day, not counting electronic materials, and argued for much more distributed responsibility in order to maintain and store electronic information. BESSER responded that the assembled group could be viewed as a starting point, whose initial operating premise could be helping to move in this direction and defining how LC could do so, for example, in areas of standardization or distribution of responsibility. FLEISCHHAUER added that AM was fully engaged, wrestling with some of the questions that pertain to the conversion of older historical materials, which would be one thing that the Library of Congress might do. Several points mentioned by BESSER and several others on this question have a much greater impact on those who are concerned with cataloguing and the networking of bibliographic information, as well as preservation itself. Speaking directly to AM, which he considered was a largely uncopyrighted database, LYNCH urged development of a network version of AM, or consideration of making the data in it available to people interested in doing network multimedia. On account of the current great shortage of digital data that is both appealing and unencumbered by complex rights problems, this course of action could have a significant effect on making network multimedia a reality. In this connection, FLEISCHHAUER reported on a fragmentary prototype in LC's Office of Information Technology Services that attempts to associate digital images of photographs with cataloguing information in ways that work within a local area network--a step, so to say, toward AM's construction of some sort of apparatus for access. Further, AM has attempted to use standard data forms in order to help make that distinction between the access tools and the underlying data, and thus believes that the database is networkable. A delicate and agonizing policy question for LC, however, which comes back to resources and unfortunately has an impact on this, is to find some appropriate, honorable, and legal cost-recovery possibilities. A certain skittishness concerning cost-recovery has made people unsure exactly what to do. AM would be highly receptive to discussing further LYNCH's offer to test or demonstrate its database in a network environment, FLEISCHHAUER said. Returning the discussion to what she viewed as the vital issue of electronic deposit, BATTIN recommended that LC initiate a catalytic process in terms of distributed responsibility, that is, bring together the distributed organizations and set up a study group to look at all these issues and see where we as a nation should move. The broader issues of how we deal with the management of electronic information will not disappear, but only grow worse. LESK took up this theme and suggested that LC attempt to persuade one major library in each state to deal with its state equivalent publisher, which might produce a cooperative project that would be equitably distributed around the country, and one in which LC would be dealing with a minimal number of publishers and minimal copyright problems. GRABER remarked the recent development in the scientific community of a willingness to use SGML and either deposit or interchange on a fairly standardized format. He wondered if a similar movement was taking place in the humanities. Although the National Library of Medicine found only a few publishers to cooperate in a like venture two or three years ago, a new effort might generate a much larger number willing to cooperate. KIMBALL recounted his unit's (Machine-Readable Collections Reading Room) troubles with the commercial publishers of electronic media in acquiring materials for LC's collections, in particular the publishers' fear that they would not be able to cover their costs and would lose control of their products, that LC would give them away or sell them and make profits from them. He doubted that the publishing industry was prepared to move into this area at the moment, given its resistance to allowing LC to use its machine-readable materials as the Library would like. The copyright law now addresses compact disk as a medium, and LC can request one copy of that, or two copies if it is the only version, and can request copies of software, but that fails to address magazines or books or anything like that which is in machine-readable form. GIFFORD acknowledged the thorny nature of this issue, which he illustrated with the example of the cumbersome process involved in putting a copy of a scientific database on a LAN in LC's science reading room. He also acknowledged that LC needs help and could enlist the energies and talents of Workshop participants in thinking through a number of these problems. GIFFORD returned the discussion to getting the image and text people to think through together where they want to go in the long term. MYLONAS conceded that her experience at the Pierce Symposium the previous week at Georgetown University and this week at LC had forced her to reevaluate her perspective on the usefulness of text as images. MYLONAS framed the issues in a series of questions: How do we acquire machine-readable text? Do we take pictures of it and perform OCR on it later? Is it important to obtain very high-quality images and text, etc.? FLEISCHHAUER agreed with MYLONAS's framing of strategic questions, adding that a large institution such as LC probably has to do all of those things at different times. Thus, the trick is to exercise judgment. The Workshop had added to his and AM's considerations in making those judgments. Concerning future meetings or discussions, MYLONAS suggested that screening priorities would be helpful. WEIBEL opined that the diversity reflected in this group was a sign both of the health and of the immaturity of the field, and more time would have to pass before we convince one another concerning standards. An exchange between MYLONAS and BATTIN clarified the point that the driving force behind both the Perseus and the Cornell Xerox projects was the preservation of knowledge for the future, not simply for particular research use. In the case of Perseus, MYLONAS said, the assumption was that the texts would not be entered again into electronically readable form. SPERBERG-McQUEEN added that a scanned image would not serve as an archival copy for purposes of preservation in the case of, say, the Bill of Rights, in the sense that the scanned images are effectively the archival copies for the Cornell mathematics books. *** *** *** ****** *** *** *** Appendix I: PROGRAM WORKSHOP ON ELECTRONIC TEXTS 9-10 June 1992 Library of Congress Washington, D.C. Supported by a Grant from the David and Lucile Packard Foundation Tuesday, 9 June 1992 NATIONAL DEMONSTRATION LAB, ATRIUM, LIBRARY MADISON 8:30 AM Coffee and Danish, registration 9:00 AM Welcome Prosser Gifford, Director for Scholarly Programs, and Carl Fleischhauer, Coordinator, American Memory, Library of Congress 9:l5 AM Session I. Content in a New Form: Who Will Use It and What Will They Do? Broad description of the range of electronic information. Characterization of who uses it and how it is or may be used. In addition to a look at scholarly uses, this session will include a presentation on use by students (K-12 and college) and the general public. Moderator: James Daly Avra Michelson, Archival Research and Evaluation Staff, National Archives and Records Administration (Overview) Susan H. Veccia, Team Leader, American Memory, User Evaluation, and Joanne Freeman, Associate Coordinator, American Memory, Library of Congress (Beyond the scholar) 10:30- 11:00 AM Break 11:00 AM Session II. Show and Tell. Each presentation to consist of a fifteen-minute statement/show; group discussion will follow lunch. Moderator: Jacqueline Hess, Director, National Demonstration Lab 1. A classics project, stressing texts and text retrieval more than multimedia: Perseus Project, Harvard University Elli Mylonas, Managing Editor 2. Other humanities projects employing the emerging norms of the Text Encoding Initiative (TEI): Chadwyck-Healey's The English Poetry Full Text Database and/or Patrologia Latina Database Eric M. Calaluca, Vice President, Chadwyck-Healey, Inc. 3. American Memory Carl Fleischhauer, Coordinator, and Ricky Erway, Associate Coordinator, Library of Congress 4. Founding Fathers example from Packard Humanities Institute: The Papers of George Washington, University of Virginia Dorothy Twohig, Managing Editor, and/or David Woodley Packard 5. An electronic medical journal offering graphics and full-text searchability: The Online Journal of Current Clinical Trials, American Association for the Advancement of Science Maria L. Lebron, Managing Editor 6. A project that offers facsimile images of pages but omits searchable text: Cornell math books Lynne K. Personius, Assistant Director, Cornell Information Technologies for Scholarly Information Sources, Cornell University 12:30 PM Lunch (Dining Room A, Library Madison 620. Exhibits available.) 1:30 PM Session II. Show and Tell (Cont'd.). 3:00- 3:30 PM Break 3:30- 5:30 PM Session III. Distribution, Networks, and Networking: Options for Dissemination. Published disks: University presses and public-sector publishers, private-sector publishers Computer networks Moderator: Robert G. Zich, Special Assistant to the Associate Librarian for Special Projects, Library of Congress Clifford A. Lynch, Director, Library Automation, University of California Howard Besser, School of Library and Information Science, University of Pittsburgh Ronald L. Larsen, Associate Director of Libraries for Information Technology, University of Maryland at College Park Edwin B. Brownrigg, Executive Director, Memex Research Institute 6:30 PM Reception (Montpelier Room, Library Madison 619.) ****** Wednesday, 10 June 1992 DINING ROOM A, LIBRARY MADISON 620 8:30 AM Coffee and Danish 9:00 AM Session IV. Image Capture, Text Capture, Overview of Text and Image Storage Formats. Moderator: William L. Hooton, Vice President of Operations, I-NET A) Principal Methods for Image Capture of Text: Direct scanning Use of microform Anne R. Kenney, Assistant Director, Department of Preservation and Conservation, Cornell University Pamela Q.J. Andre, Associate Director, Automation, and Judith A. Zidar, Coordinator, National Agricultural Text Digitizing Program (NATDP), National Agricultural Library (NAL) Donald J. Waters, Head, Systems Office, Yale University Library B) Special Problems: Bound volumes Conservation Reproducing printed halftones Carl Fleischhauer, Coordinator, American Memory, Library of Congress George Thoma, Chief, Communications Engineering Branch, National Library of Medicine (NLM) 10:30- 11:00 AM Break 11:00 AM Session IV. Image Capture, Text Capture, Overview of Text and Image Storage Formats (Cont'd.). C) Image Standards and Implications for Preservation Jean Baronas, Senior Manager, Department of Standards and Technology, Association for Information and Image Management (AIIM) Patricia Battin, President, The Commission on Preservation and Access (CPA) D) Text Conversion: OCR vs. rekeying Standards of accuracy and use of imperfect texts Service bureaus Stuart Weibel, Senior Research Specialist, Online Computer Library Center, Inc. (OCLC) Michael Lesk, Executive Director, Computer Science Research, Bellcore Ricky Erway, Associate Coordinator, American Memory, Library of Congress Pamela Q.J. Andre, Associate Director, Automation, and Judith A. Zidar, Coordinator, National Agricultural Text Digitizing Program (NATDP), National Agricultural Library (NAL) 12:30- 1:30 PM Lunch 1:30 PM Session V. Approaches to Preparing Electronic Texts. Discussion of approaches to structuring text for the computer; pros and cons of text coding, description of methods in practice, and comparison of text-coding methods. Moderator: Susan Hockey, Director, Center for Electronic Texts in the Humanities (CETH), Rutgers and Princeton Universities David Woodley Packard C.M. Sperberg-McQueen, Editor, Text Encoding Initiative (TEI), University of Illinois-Chicago Eric M. Calaluca, Vice President, Chadwyck-Healey, Inc. 3:30- 4:00 PM Break 4:00 PM Session VI. Copyright Issues. Marybeth Peters, Policy Planning Adviser to the Register of Copyrights, Library of Congress 5:00 PM Session VII. Conclusion. General discussion. What topics were omitted or given short shrift that anyone would like to talk about now? Is there a "group" here? What should the group do next, if anything? What should the Library of Congress do next, if anything? Moderator: Prosser Gifford, Director for Scholarly Programs, Library of Congress 6:00 PM Adjourn *** *** *** ****** *** *** *** Appendix II: ABSTRACTS SESSION I Avra MICHELSON Forecasting the Use of Electronic Texts by Social Sciences and Humanities Scholars This presentation explores the ways in which electronic texts are likely to be used by the non-scientific scholarly community. Many of the remarks are drawn from a report the speaker coauthored with Jeff Rothenberg, a computer scientist at The RAND Corporation. The speaker assesses 1) current scholarly use of information technology and 2) the key trends in information technology most relevant to the research process, in order to predict how social sciences and humanities scholars are apt to use electronic texts. In introducing the topic, current use of electronic texts is explored broadly within the context of scholarly communication. From the perspective of scholarly communication, the work of humanities and social sciences scholars involves five processes: 1) identification of sources, 2) communication with colleagues, 3) interpretation and analysis of data, 4) dissemination of research findings, and 5) curriculum development and instruction. The extent to which computation currently permeates aspects of scholarly communication represents a viable indicator of the prospects for electronic texts. The discussion of current practice is balanced by an analysis of key trends in the scholarly use of information technology. These include the trends toward end-user computing and connectivity, which provide a framework for forecasting the use of electronic texts through this millennium. The presentation concludes with a summary of the ways in which the nonscientific scholarly community can be expected to use electronic texts, and the implications of that use for information providers. Susan VECCIA and Joanne FREEMAN Electronic Archives for the Public: Use of American Memory in Public and School Libraries This joint discussion focuses on nonscholarly applications of electronic library materials, specifically addressing use of the Library of Congress American Memory (AM) program in a small number of public and school libraries throughout the United States. AM consists of selected Library of Congress primary archival materials, stored on optical media (CD-ROM/videodisc), and presented with little or no editing. Many collections are accompanied by electronic introductions and user's guides offering background information and historical context. Collections represent a variety of formats including photographs, graphic arts, motion pictures, recorded sound, music, broadsides and manuscripts, books, and pamphlets. In 1991, the Library of Congress began a nationwide evaluation of AM in different types of institutions. Test sites include public libraries, elementary and secondary school libraries, college and university libraries, state libraries, and special libraries. Susan VECCIA and Joanne FREEMAN will discuss their observations on the use of AM by the nonscholarly community, using evidence gleaned from this ongoing evaluation effort. VECCIA will comment on the overall goals of the evaluation project, and the types of public and school libraries included in this study. Her comments on nonscholarly use of AM will focus on the public library as a cultural and community institution, often bridging the gap between formal and informal education. FREEMAN will discuss the use of AM in school libraries. Use by students and teachers has revealed some broad questions about the use of electronic resources, as well as definite benefits gained by the "nonscholar." Topics will include the problem of grasping content and context in an electronic environment, the stumbling blocks created by "new" technologies, and the unique skills and interests awakened through use of electronic resources. SESSION II Elli MYLONAS The Perseus Project: Interactive Sources and Studies in Classical Greece The Perseus Project (5) has just released Perseus 1.0, the first publicly available version of its hypertextual database of multimedia materials on classical Greece. Perseus is designed to be used by a wide audience, comprised of readers at the student and scholar levels. As such, it must be able to locate information using different strategies, and it must contain enough detail to serve the different needs of its users. In addition, it must be delivered so that it is affordable to its target audience. [These problems and the solutions we chose are described in Mylonas, "An Interface to Classical Greek Civilization," JASIS 43:2, March 1992.] In order to achieve its objective, the project staff decided to make a conscious separation between selecting and converting textual, database, and image data on the one hand, and putting it into a delivery system on the other. That way, it is possible to create the electronic data without thinking about the restrictions of the delivery system. We have made a great effort to choose system-independent formats for our data, and to put as much thought and work as possible into structuring it so that the translation from paper to electronic form will enhance the value of the data. [A discussion of these solutions as of two years ago is in Elli Mylonas, Gregory Crane, Kenneth Morrell, and D. Neel Smith, "The Perseus Project: Data in the Electronic Age," in Accessing Antiquity: The Computerization of Classical Databases, J. Solomon and T. Worthen (eds.), University of Arizona Press, in press.] Much of the work on Perseus is focused on collecting and converting the data on which the project is based. At the same time, it is necessary to provide means of access to the information, in order to make it usable, and them to investigate how it is used. As we learn more about what students and scholars from different backgrounds do with Perseus, we can adjust our data collection, and also modify the system to accommodate them. In creating a delivery system for general use, we have tried to avoid favoring any one type of use by allowing multiple forms of access to and navigation through the system. The way text is handled exemplifies some of these principles. All text in Perseus is tagged using SGML, following the guidelines of the Text Encoding Initiative (TEI). This markup is used to index the text, and process it so that it can be imported into HyperCard. No SGML markup remains in the text that reaches the user, because currently it would be too expensive to create a system that acts on SGML in real time. However, the regularity provided by SGML is essential for verifying the content of the texts, and greatly speeds all the processing performed on them. The fact that the texts exist in SGML ensures that they will be relatively easy to port to different hardware and software, and so will outlast the current delivery platform. Finally, the SGML markup incorporates existing canonical reference systems (chapter, verse, line, etc.); indexing and navigation are based on these features. This ensures that the same canonical reference will always resolve to the same point within a text, and that all versions of our texts, regardless of delivery platform (even paper printouts) will function the same way. In order to provide tools for users, the text is processed by a morphological analyzer, and the results are stored in a database. Together with the index, the Greek-English Lexicon, and the index of all the English words in the definitions of the lexicon, the morphological analyses comprise a set of linguistic tools that allow users of all levels to work with the textual information, and to accomplish different tasks. For example, students who read no Greek may explore a concept as it appears in Greek texts by using the English-Greek index, and then looking up works in the texts and translations, or scholars may do detailed morphological studies of word use by using the morphological analyses of the texts. Because these tools were not designed for any one use, the same tools and the same data can be used by both students and scholars. NOTES: (5) Perseus is based at Harvard University, with collaborators at several other universities. The project has been funded primarily by the Annenberg/CPB Project, as well as by Harvard University, Apple Computer, and others. It is published by Yale University Press. Perseus runs on Macintosh computers, under the HyperCard program. Eric CALALUCA Chadwyck-Healey embarked last year on two distinct yet related full-text humanities database projects. The English Poetry Full-Text Database and the Patrologia Latina Database represent new approaches to linguistic research resources. The size and complexity of the projects present problems for electronic publishers, but surmountable ones if they remain abreast of the latest possibilities in data capture and retrieval software techniques. The issues which required address prior to the commencement of the projects were legion: 1. Editorial selection (or exclusion) of materials in each database 2. Deciding whether or not to incorporate a normative encoding structure into the databases? A. If one is selected, should it be SGML? B. If SGML, then the TEI? 3. Deliver as CD-ROM, magnetic tape, or both? 4. Can one produce retrieval software advanced enough for the postdoctoral linguist, yet accessible enough for unattended general use? Should one try? 5. Re fair and liberal networking policies, what are the risks to an electronic publisher? 6. How does the emergence of national and international education networks affect the use and viability of research projects requiring high investment? Do the new European Community directives concerning database protection necessitate two distinct publishing projects, one for North America and one for overseas? From new notions of "scholarly fair use" to the future of optical media, virtually every issue related to electronic publishing was aired. The result is two projects which have been constructed to provide the quality research resources with the fewest encumbrances to use by teachers and private scholars. Dorothy TWOHIG In spring 1988 the editors of the papers of George Washington, John Adams, Thomas Jefferson, James Madison, and Benjamin Franklin were approached by classics scholar David Packard on behalf of the Packard Humanities Foundation with a proposal to produce a CD-ROM edition of the complete papers of each of the Founding Fathers. This electronic edition will supplement the published volumes, making the documents widely available to students and researchers at reasonable cost. We estimate that our CD-ROM edition of Washington's Papers will be substantially completed within the next two years and ready for publication. Within the next ten years or so, similar CD-ROM editions of the Franklin, Adams, Jefferson, and Madison papers also will be available. At the Library of Congress's session on technology, I would like to discuss not only the experience of the Washington Papers in producing the CD-ROM edition, but the impact technology has had on these major editorial projects. Already, we are editing our volumes with an eye to the material that will be readily available in the CD-ROM edition. The completed electronic edition will provide immense possibilities for the searching of documents for information in a way never possible before. The kind of technical innovations that are currently available and on the drawing board will soon revolutionize historical research and the production of historical documents. Unfortunately, much of this new technology is not being used in the planning stages of historical projects, simply because many historians are aware only in the vaguest way of its existence. At least two major new historical editing projects are considering microfilm editions, simply because they are not aware of the possibilities of electronic alternatives and the advantages of the new technology in terms of flexibility and research potential compared to microfilm. In fact, too many of us in history and literature are still at the stage of struggling with our PCs. There are many historical editorial projects in progress presently, and an equal number of literary projects. While the two fields have somewhat different approaches to textual editing, there are ways in which electronic technology can be of service to both. Since few of the editors involved in the Founding Fathers CD-ROM editions are technical experts in any sense, I hope to point out in my discussion of our experience how many of these electronic innovations can be used successfully by scholars who are novices in the world of new technology. One of the major concerns of the sponsors of the multitude of new scholarly editions is the limited audience reached by the published volumes. Most of these editions are being published in small quantities and the publishers' price for them puts them out of the reach not only of individual scholars but of most public libraries and all but the largest educational institutions. However, little attention is being given to ways in which technology can bypass conventional publication to make historical and literary documents more widely available. What attracted us most to the CD-ROM edition of The Papers of George Washington was the fact that David Packard's aim was to make a complete edition of all of the 135,000 documents we have collected available in an inexpensive format that would be placed in public libraries, small colleges, and even high schools. This would provide an audience far beyond our present 1,000-copy, $45 published edition. Since the CD-ROM edition will carry none of the explanatory annotation that appears in the published volumes, we also feel that the use of the CD-ROM will lead many researchers to seek out the published volumes. In addition to ignorance of new technical advances, I have found that too many editors--and historians and literary scholars--are resistant and even hostile to suggestions that electronic technology may enhance their work. I intend to discuss some of the arguments traditionalists are advancing to resist technology, ranging from distrust of the speed with which it changes (we are already wondering what is out there that is better than CD-ROM) to suspicion of the technical language used to describe electronic developments. Maria LEBRON The Online Journal of Current Clinical Trials, a joint venture of the American Association for the Advancement of Science (AAAS) and the Online Computer Library Center, Inc. (OCLC), is the first peer-reviewed journal to provide full text, tabular material, and line illustrations on line. This presentation will discuss the genesis and start-up period of the journal. Topics of discussion will include historical overview, day-to-day management of the editorial peer review, and manuscript tagging and publication. A demonstration of the journal and its features will accompany the presentation. Lynne PERSONIUS Cornell University Library, Cornell Information Technologies, and Xerox Corporation, with the support of the Commission on Preservation and Access, and Sun Microsystems, Inc., have been collaborating in a project to test a prototype system for recording brittle books as digital images and producing, on demand, high-quality archival paper replacements. The project goes beyond that, however, to investigate some of the issues surrounding scanning, storing, retrieving, and providing access to digital images in a network environment. The Joint Study in Digital Preservation began in January 1990. Xerox provided the College Library Access and Storage System (CLASS) software, a prototype 600-dots-per-inch (dpi) scanner, and the hardware necessary to support network printing on the DocuTech printer housed in Cornell's Computing and Communications Center (CCC). The Cornell staff using the hardware and software became an integral part of the development and testing process for enhancements to the CLASS software system. The collaborative nature of this relationship is resulting in a system that is specifically tailored to the preservation application. A digital library of 1,000 volumes (or approximately 300,000 images) has been created and is stored on an optical jukebox that resides in CCC. The library includes a collection of select mathematics monographs that provides mathematics faculty with an opportunity to use the electronic library. The remaining volumes were chosen for the library to test the various capabilities of the scanning system. One project objective is to provide users of the Cornell library and the library staff with the ability to request facsimiles of digitized images or to retrieve the actual electronic image for browsing. A prototype viewing workstation has been created by Xerox, with input into the design by a committee of Cornell librarians and computer professionals. This will allow us to experiment with patron access to the images that make up the digital library. The viewing station provides search, retrieval, and (ultimately) printing functions with enhancements to facilitate navigation through multiple documents. Cornell currently is working to extend access to the digital library to readers using workstations from their offices. This year is devoted to the development of a network resident image conversion and delivery server, and client software that will support readers who use Apple Macintosh computers, IBM windows platforms, and Sun workstations. Equipment for this development was provided by Sun Microsystems with support from the Commission on Preservation and Access. During the show-and-tell session of the Workshop on Electronic Texts, a prototype view station will be demonstrated. In addition, a display of original library books that have been digitized will be available for review with associated printed copies for comparison. The fifteen-minute overview of the project will include a slide presentation that constitutes a "tour" of the preservation digitizing process. The final network-connected version of the viewing station will provide library users with another mechanism for accessing the digital library, and will also provide the capability of viewing images directly. This will not require special software, although a powerful computer with good graphics will be needed. The Joint Study in Digital Preservation has generated a great deal of interest in the library community. Unfortunately, or perhaps fortunately, this project serves to raise a vast number of other issues surrounding the use of digital technology for the preservation and use of deteriorating library materials, which subsequent projects will need to examine. Much work remains. SESSION III Howard BESSER Networking Multimedia Databases What do we have to consider in building and distributing databases of visual materials in a multi-user environment? This presentation examines a variety of concerns that need to be addressed before a multimedia database can be set up in a networked environment. In the past it has not been feasible to implement databases of visual materials in shared-user environments because of technological barriers. Each of the two basic models for multi-user multimedia databases has posed its own problem. The analog multimedia storage model (represented by Project Athena's parallel analog and digital networks) has required an incredibly complex (and expensive) infrastructure. The economies of scale that make multi-user setups cheaper per user served do not operate in an environment that requires a computer workstation, videodisc player, and two display devices for each user. The digital multimedia storage model has required vast amounts of storage space (as much as one gigabyte per thirty still images). In the past the cost of such a large amount of storage space made this model a prohibitive choice as well. But plunging storage costs are finally making this second alternative viable. If storage no longer poses such an impediment, what do we need to consider in building digitally stored multi-user databases of visual materials? This presentation will examine the networking and telecommunication constraints that must be overcome before such databases can become commonplace and useful to a large number of people. The key problem is the vast size of multimedia documents, and how this affects not only storage but telecommunications transmission time. Anything slower than T-1 speed is impractical for files of 1 megabyte or larger (which is likely to be small for a multimedia document). For instance, even on a 56 Kb line it would take three minutes to transfer a 1-megabyte file. And these figures assume ideal circumstances, and do not take into consideration other users contending for network bandwidth, disk access time, or the time needed for remote display. Current common telephone transmission rates would be completely impractical; few users would be willing to wait the hour necessary to transmit a single image at 2400 baud. This necessitates compression, which itself raises a number of other issues. In order to decrease file sizes significantly, we must employ lossy compression algorithms. But how much quality can we afford to lose? To date there has been only one significant study done of image-quality needs for a particular user group, and this study did not look at loss resulting from compression. Only after identifying image-quality needs can we begin to address storage and network bandwidth needs. Experience with X-Windows-based applications (such as Imagequery, the University of California at Berkeley image database) demonstrates the utility of a client-server topology, but also points to the limitation of current software for a distributed environment. For example, applications like Imagequery can incorporate compression, but current X implementations do not permit decompression at the end user's workstation. Such decompression at the host computer alleviates storage capacity problems while doing nothing to address problems of telecommunications bandwidth. We need to examine the effects on network through-put of moving multimedia documents around on a network. We need to examine various topologies that will help us avoid bottlenecks around servers and gateways. Experience with applications such as these raise still broader questions. How closely is the multimedia document tied to the software for viewing it? Can it be accessed and viewed from other applications? Experience with the MARC format (and more recently with the Z39.50 protocols) shows how useful it can be to store documents in a form in which they can be accessed by a variety of application software. Finally, from an intellectual-access standpoint, we need to address the issue of providing access to these multimedia documents in interdisciplinary environments. We need to examine terminology and indexing strategies that will allow us to provide access to this material in a cross-disciplinary way. Ronald LARSEN Directions in High-Performance Networking for Libraries The pace at which computing technology has advanced over the past forty years shows no sign of abating. Roughly speaking, each five-year period has yielded an order-of-magnitude improvement in price and performance of computing equipment. No fundamental hurdles are likely to prevent this pace from continuing for at least the next decade. It is only in the past five years, though, that computing has become ubiquitous in libraries, affecting all staff and patrons, directly or indirectly. During these same five years, communications rates on the Internet, the principal academic computing network, have grown from 56 kbps to 1.5 Mbps, and the NSFNet backbone is now running 45 Mbps. Over the next five years, communication rates on the backbone are expected to exceed 1 Gbps. Growth in both the population of network users and the volume of network traffic has continued to grow geometrically, at rates approaching 15 percent per month. This flood of capacity and use, likened by some to "drinking from a firehose," creates immense opportunities and challenges for libraries. Libraries must anticipate the future implications of this technology, participate in its development, and deploy it to ensure access to the world's information resources. The infrastructure for the information age is being put in place. Libraries face strategic decisions about their role in the development, deployment, and use of this infrastructure. The emerging infrastructure is much more than computers and communication lines. It is more than the ability to compute at a remote site, send electronic mail to a peer across the country, or move a file from one library to another. The next five years will witness substantial development of the information infrastructure of the network. In order to provide appropriate leadership, library professionals must have a fundamental understanding of and appreciation for computer networking, from local area networks to the National Research and Education Network (NREN). This presentation addresses these fundamentals, and how they relate to libraries today and in the near future. Edwin BROWNRIGG Electronic Library Visions and Realities The electronic library has been a vision desired by many--and rejected by some--since Vannevar Bush coined the term memex to describe an automated, intelligent, personal information system. Variations on this vision have included Ted Nelson's Xanadau, Alan Kay's Dynabook, and Lancaster's "paperless library," with the most recent incarnation being the "Knowledge Navigator" described by John Scully of Apple. But the reality of library service has been less visionary and the leap to the electronic library has eluded universities, publishers, and information technology files. The Memex Research Institute (MemRI), an independent, nonprofit research and development organization, has created an Electronic Library Program of shared research and development in order to make the collective vision more concrete. The program is working toward the creation of large, indexed publicly available electronic image collections of published documents in academic, special, and public libraries. This strategic plan is the result of the first stage of the program, which has been an investigation of the information technologies available to support such an effort, the economic parameters of electronic service compared to traditional library operations, and the business and political factors affecting the shift from print distribution to electronic networked access. The strategic plan envisions a combination of publicly searchable access databases, image (and text) document collections stored on network "file servers," local and remote network access, and an intellectual property management-control system. This combination of technology and information content is defined in this plan as an E-library or E-library collection. Some participating sponsors are already developing projects based on MemRI's recommended directions. The E-library strategy projected in this plan is a visionary one that can enable major changes and improvements in academic, public, and special library service. This vision is, though, one that can be realized with today's technology. At the same time, it will challenge the political and social structure within which libraries operate: in academic libraries, the traditional emphasis on local collections, extending to accreditation issues; in public libraries, the potential of electronic branch and central libraries fully available to the public; and for special libraries, new opportunities for shared collections and networks. The environment in which this strategic plan has been developed is, at the moment, dominated by a sense of library limits. The continued expansion and rapid growth of local academic library collections is now clearly at an end. Corporate libraries, and even law libraries, are faced with operating within a difficult economic climate, as well as with very active competition from commercial information sources. For example, public libraries may be seen as a desirable but not critical municipal service in a time when the budgets of safety and health agencies are being cut back. Further, libraries in general have a very high labor-to-cost ratio in their budgets, and labor costs are still increasing, notwithstanding automation investments. It is difficult for libraries to obtain capital, startup, or seed funding for innovative activities, and those technology-intensive initiatives that offer the potential of decreased labor costs can provoke the opposition of library staff. However, libraries have achieved some considerable successes in the past two decades by improving both their service and their credibility within their organizations--and these positive changes have been accomplished mostly with judicious use of information technologies. The advances in computing and information technology have been well-chronicled: the continuing precipitous drop in computing costs, the growth of the Internet and private networks, and the explosive increase in publicly available information databases. For example, OCLC has become one of the largest computer network organizations in the world by creating a cooperative cataloging network of more than 6,000 libraries worldwide. On-line public access catalogs now serve millions of users on more than 50,000 dedicated terminals in the United States alone. The University of California MELVYL on-line catalog system has now expanded into an index database reference service and supports more than six million searches a year. And, libraries have become the largest group of customers of CD-ROM publishing technology; more than 30,000 optical media publications such as those offered by InfoTrac and Silver Platter are subscribed to by U.S. libraries. This march of technology continues and in the next decade will result in further innovations that are extremely difficult to predict. What is clear is that libraries can now go beyond automation of their order files and catalogs to automation of their collections themselves--and it is possible to circumvent the fiscal limitations that appear to obtain today. This Electronic Library Strategic Plan recommends a paradigm shift in library service, and demonstrates the steps necessary to provide improved library services with limited capacities and operating investments. SESSION IV-A Anne KENNEY The Cornell/Xerox Joint Study in Digital Preservation resulted in the recording of 1,000 brittle books as 600-dpi digital images and the production, on demand, of high-quality and archivally sound paper replacements. The project, which was supported by the Commission on Preservation and Access, also investigated some of the issues surrounding scanning, storing, retrieving, and providing access to digital images in a network environment. Anne Kenney will focus on some of the issues surrounding direct scanning as identified in the Cornell Xerox Project. Among those to be discussed are: image versus text capture; indexing and access; image-capture capabilities; a comparison to photocopy and microfilm; production and cost analysis; storage formats, protocols, and standards; and the use of this scanning technology for preservation purposes. The 600-dpi digital images produced in the Cornell Xerox Project proved highly acceptable for creating paper replacements of deteriorating originals. The 1,000 scanned volumes provided an array of image-capture challenges that are common to nineteenth-century printing techniques and embrittled material, and that defy the use of text-conversion processes. These challenges include diminished contrast between text and background, fragile and deteriorated pages, uneven printing, elaborate type faces, faint and bold text adjacency, handwritten text and annotations, nonRoman languages, and a proliferation of illustrated material embedded in text. The latter category included high-frequency and low-frequency halftones, continuous tone photographs, intricate mathematical drawings, maps, etchings, reverse-polarity drawings, and engravings. The Xerox prototype scanning system provided a number of important features for capturing this diverse material. Technicians used multiple threshold settings, filters, line art and halftone definitions, autosegmentation, windowing, and software-editing programs to optimize image capture. At the same time, this project focused on production. The goal was to make scanning as affordable and acceptable as photocopying and microfilming for preservation reformatting. A time-and-cost study conducted during the last three months of this project confirmed the economic viability of digital scanning, and these findings will be discussed here. From the outset, the Cornell Xerox Project was predicated on the use of nonproprietary standards and the use of common protocols when standards did not exist. Digital files were created as TIFF images which were compressed prior to storage using Group 4 CCITT compression. The Xerox software is MS DOS based and utilizes off-the shelf programs such as Microsoft Windows and Wang Image Wizard. The digital library is designed to be hardware-independent and to provide interchangeability with other institutions through network connections. Access to the digital files themselves is two-tiered: Bibliographic records for the computer files are created in RLIN and Cornell's local system and access into the actual digital images comprising a book is provided through a document control structure and a networked image file-server, both of which will be described. The presentation will conclude with a discussion of some of the issues surrounding the use of this technology as a preservation tool (storage, refreshing, backup). Pamela ANDRE and Judith ZIDAR The National Agricultural Library (NAL) has had extensive experience with raster scanning of printed materials. Since 1987, the Library has participated in the National Agricultural Text Digitizing Project (NATDP) a cooperative effort between NAL and forty-five land grant university libraries. An overview of the project will be presented, giving its history and NAL's strategy for the future. An in-depth discussion of NATDP will follow, including a description of the scanning process, from the gathering of the printed materials to the archiving of the electronic pages. The type of equipment required for a stand-alone scanning workstation and the importance of file management software will be discussed. Issues concerning the images themselves will be addressed briefly, such as image format; black and white versus color; gray scale versus dithering; and resolution. Also described will be a study currently in progress by NAL to evaluate the usefulness of converting microfilm to electronic images in order to improve access. With the cooperation of Tuskegee University, NAL has selected three reels of microfilm from a collection of sixty-seven reels containing the papers, letters, and drawings of George Washington Carver. The three reels were converted into 3,500 electronic images using a specialized microfilm scanner. The selection, filming, and indexing of this material will be discussed. Donald WATERS Project Open Book, the Yale University Library's effort to convert 10, 000 books from microfilm to digital imagery, is currently in an advanced state of planning and organization. The Yale Library has selected a major vendor to serve as a partner in the project and as systems integrator. In its proposal, the successful vendor helped isolate areas of risk and uncertainty as well as key issues to be addressed during the life of the project. The Yale Library is now poised to decide what material it will convert to digital image form and to seek funding, initially for the first phase and then for the entire project. The proposal that Yale accepted for the implementation of Project Open Book will provide at the end of three phases a conversion subsystem, browsing stations distributed on the campus network within the Yale Library, a subsystem for storing 10,000 books at 200 and 600 dots per inch, and network access to the image printers. Pricing for the system implementation assumes the existence of Yale's campus ethernet network and its high-speed image printers, and includes other requisite hardware and software, as well as system integration services. Proposed operating costs include hardware and software maintenance, but do not include estimates for the facilities management of the storage devices and image servers. Yale selected its vendor partner in a formal process, partly funded by the Commission for Preservation and Access. Following a request for proposal, the Yale Library selected two vendors as finalists to work with Yale staff to generate a detailed analysis of requirements for Project Open Book. Each vendor used the results of the requirements analysis to generate and submit a formal proposal for the entire project. This competitive process not only enabled the Yale Library to select its primary vendor partner but also revealed much about the state of the imaging industry, about the varying, corporate commitments to the markets for imaging technology, and about the varying organizational dynamics through which major companies are responding to and seeking to develop these markets. Project Open Book is focused specifically on the conversion of images from microfilm to digital form. The technology for scanning microfilm is readily available but is changing rapidly. In its project requirements, the Yale Library emphasized features of the technology that affect the technical quality of digital image production and the costs of creating and storing the image library: What levels of digital resolution can be achieved by scanning microfilm? How does variation in the quality of microfilm, particularly in film produced to preservation standards, affect the quality of the digital images? What technologies can an operator effectively and economically apply when scanning film to separate two-up images and to control for and correct image imperfections? How can quality control best be integrated into digitizing work flow that includes document indexing and storage? The actual and expected uses of digital images--storage, browsing, printing, and OCR--help determine the standards for measuring their quality. Browsing is especially important, but the facilities available for readers to browse image documents is perhaps the weakest aspect of imaging technology and most in need of development. As it defined its requirements, the Yale Library concentrated on some fundamental aspects of usability for image documents: Does the system have sufficient flexibility to handle the full range of document types, including monographs, multi-part and multivolume sets, and serials, as well as manuscript collections? What conventions are necessary to identify a document uniquely for storage and retrieval? Where is the database of record for storing bibliographic information about the image document? How are basic internal structures of documents, such as pagination, made accessible to the reader? How are the image documents physically presented on the screen to the reader? The Yale Library designed Project Open Book on the assumption that microfilm is more than adequate as a medium for preserving the content of deteriorated library materials. As planning in the project has advanced, it is increasingly clear that the challenge of digital image technology and the key to the success of efforts like Project Open Book is to provide a means of both preserving and improving access to those deteriorated materials. SESSION IV-B George THOMA In the use of electronic imaging for document preservation, there are several issues to consider, such as: ensuring adequate image quality, maintaining substantial conversion rates (through-put), providing unique identification for automated access and retrieval, and accommodating bound volumes and fragile material. To maintain high image quality, image processing functions are required to correct the deficiencies in the scanned image. Some commercially available systems include these functions, while some do not. The scanned raw image must be processed to correct contrast deficiencies-- both poor overall contrast resulting from light print and/or dark background, and variable contrast resulting from stains and bleed-through. Furthermore, the scan density must be adequate to allow legibility of print and sufficient fidelity in the pseudo-halftoned gray material. Borders or page-edge effects must be removed for both compactibility and aesthetics. Page skew must be corrected for aesthetic reasons and to enable accurate character recognition if desired. Compound images consisting of both two-toned text and gray-scale illustrations must be processed appropriately to retain the quality of each. SESSION IV-C Jean BARONAS Standards publications being developed by scientists, engineers, and business managers in Association for Information and Image Management (AIIM) standards committees can be applied to electronic image management (EIM) processes including: document (image) transfer, retrieval and evaluation; optical disk and document scanning; and document design and conversion. When combined with EIM system planning and operations, standards can assist in generating image databases that are interchangeable among a variety of systems. The applications of different approaches for image-tagging, indexing, compression, and transfer often cause uncertainty concerning EIM system compatibility, calibration, performance, and upward compatibility, until standard implementation parameters are established. The AIIM standards that are being developed for these applications can be used to decrease the uncertainty, successfully integrate imaging processes, and promote "open systems." AIIM is an accredited American National Standards Institute (ANSI) standards developer with more than twenty committees comprised of 300 volunteers representing users, vendors, and manufacturers. The standards publications that are developed in these committees have national acceptance and provide the basis for international harmonization in the development of new International Organization for Standardization (ISO) standards. This presentation describes the development of AIIM's EIM standards and a new effort at AIIM, a database on standards projects in a wide framework of imaging industries including capture, recording, processing, duplication, distribution, display, evaluation, and preservation. The AIIM Imagery Database will cover imaging standards being developed by many organizations in many different countries. It will contain standards publications' dates, origins, related national and international projects, status, key words, and abstracts. The ANSI Image Technology Standards Board requested that such a database be established, as did the ISO/International Electrotechnical Commission Joint Task Force on Imagery. AIIM will take on the leadership role for the database and coordinate its development with several standards developers. Patricia BATTIN Characteristics of standards for digital imagery: * Nature of digital technology implies continuing volatility. * Precipitous standard-setting not possible and probably not desirable. * Standards are a complex issue involving the medium, the hardware, the software, and the technical capacity for reproductive fidelity and clarity. * The prognosis for reliable archival standards (as defined by librarians) in the foreseeable future is poor. Significant potential and attractiveness of digital technology as a preservation medium and access mechanism. Productive use of digital imagery for preservation requires a reconceptualizing of preservation principles in a volatile, standardless world. Concept of managing continuing access in the digital environment rather than focusing on the permanence of the medium and long-term archival standards developed for the analog world. Transition period: How long and what to do? * Redefine "archival." * Remove the burden of "archival copy" from paper artifacts. * Use digital technology for storage, develop management strategies for refreshing medium, hardware and software. * Create acid-free paper copies for transition period backup until we develop reliable procedures for ensuring continuing access to digital files. SESSION IV-D Stuart WEIBEL The Role of SGML Markup in the CORE Project (6) The emergence of high-speed telecommunications networks as a basic feature of the scholarly workplace is driving the demand for electronic document delivery. Three distinct categories of electronic publishing/republishing are necessary to support access demands in this emerging environment: 1.) Conversion of paper or microfilm archives to electronic format 2.) Conversion of electronic files to formats tailored to electronic retrieval and display 3.) Primary electronic publishing (materials for which the electronic version is the primary format) OCLC has experimental or product development activities in each of these areas. Among the challenges that lie ahead is the integration of these three types of information stores in coherent distributed systems. The CORE (Chemistry Online Retrieval Experiment) Project is a model for the conversion of large text and graphics collections for which electronic typesetting files are available (category 2). The American Chemical Society has made available computer typography files dating from 1980 for its twenty journals. This collection of some 250 journal-years is being converted to an electronic format that will be accessible through several end-user applications. The use of Standard Generalized Markup Language (SGML) offers the means to capture the structural richness of the original articles in a way that will support a variety of retrieval, navigation, and display options necessary to navigate effectively in very large text databases. An SGML document consists of text that is marked up with descriptive tags that specify the function of a given element within the document. As a formal language construct, an SGML document can be parsed against a document-type definition (DTD) that unambiguously defines what elements are allowed and where in the document they can (or must) occur. This formalized map of article structure allows the user interface design to be uncoupled from the underlying database system, an important step toward interoperability. Demonstration of this separability is a part of the CORE project, wherein user interface designs born of very different philosophies will access the same database. NOTES: (6) The CORE project is a collaboration among Cornell University's Mann Library, Bell Communications Research (Bellcore), the American Chemical Society (ACS), the Chemical Abstracts Service (CAS), and OCLC. Michael LESK The CORE Electronic Chemistry Library A major on-line file of chemical journal literature complete with graphics is being developed to test the usability of fully electronic access to documents, as a joint project of Cornell University, the American Chemical Society, the Chemical Abstracts Service, OCLC, and Bellcore (with additional support from Sun Microsystems, Springer-Verlag, DigitaI Equipment Corporation, Sony Corporation of America, and Apple Computers). Our file contains the American Chemical Society's on-line journals, supplemented with the graphics from the paper publication. The indexing of the articles from Chemical Abstracts Documents is available in both image and text format, and several different interfaces can be used. Our goals are (1) to assess the effectiveness and acceptability of electronic access to primary journals as compared with paper, and (2) to identify the most desirable functions of the user interface to an electronic system of journals, including in particular a comparison of page-image display with ASCII display interfaces. Early experiments with chemistry students on a variety of tasks suggest that searching tasks are completed much faster with any electronic system than with paper, but that for reading all versions of the articles are roughly equivalent. Pamela ANDRE and Judith ZIDAR Text conversion is far more expensive and time-consuming than image capture alone. NAL's experience with optical character recognition (OCR) will be related and compared with the experience of having text rekeyed. What factors affect OCR accuracy? How accurate does full text have to be in order to be useful? How do different users react to imperfect text? These are questions that will be explored. For many, a service bureau may be a better solution than performing the work inhouse; this will also be discussed. SESSION VI Marybeth PETERS Copyright law protects creative works. Protection granted by the law to authors and disseminators of works includes the right to do or authorize the following: reproduce the work, prepare derivative works, distribute the work to the public, and publicly perform or display the work. In addition, copyright owners of sound recordings and computer programs have the right to control rental of their works. These rights are not unlimited; there are a number of exceptions and limitations. An electronic environment places strains on the copyright system. Copyright owners want to control uses of their work and be paid for any use; the public wants quick and easy access at little or no cost. The marketplace is working in this area. Contracts, guidelines on electronic use, and collective licensing are in use and being refined. Issues concerning the ability to change works without detection are more difficult to deal with. Questions concerning the integrity of the work and the status of the changed version under the copyright law are to be addressed. These are public policy issues which require informed dialogue. *** *** *** ****** *** *** *** Appendix III: DIRECTORY OF PARTICIPANTS PRESENTERS: Pamela Q.J. Andre Associate Director, Automation National Agricultural Library 10301 Baltimore Boulevard Beltsville, MD 20705-2351 Phone: (301) 504-6813 Fax: (301) 504-7473 E-mail: INTERNET: PANDRE@ASRR.ARSUSDA.GOV Jean Baronas, Senior Manager Department of Standards and Technology Association for Information and Image Management (AIIM) 1100 Wayne Avenue, Suite 1100 Silver Spring, MD 20910 Phone: (301) 587-8202 Fax: (301) 587-2711 Patricia Battin, President The Commission on Preservation and Access 1400 16th Street, N.W. Suite 740 Washington, DC 20036-2217 Phone: (202) 939-3400 Fax: (202) 939-3407 E-mail: CPA@GWUVM.BITNET Howard Besser Centre Canadien d'Architecture (Canadian Center for Architecture) 1920, rue Baile Montreal, Quebec H3H 2S6 CANADA Phone: (514) 939-7001 Fax: (514) 939-7020 E-mail: howard@lis.pitt.edu Edwin B. Brownrigg, Executive Director Memex Research Institute 422 Bonita Avenue Roseville, CA 95678 Phone: (916) 784-2298 Fax: (916) 786-7559 E-mail: BITNET: MEMEX@CALSTATE.2 Eric M. Calaluca, Vice President Chadwyck-Healey, Inc. 1101 King Street Alexandria, VA 223l4 Phone: (800) 752-05l5 Fax: (703) 683-7589 James Daly 4015 Deepwood Road Baltimore, MD 21218-1404 Phone: (410) 235-0763 Ricky Erway, Associate Coordinator American Memory Library of Congress Phone: (202) 707-6233 Fax: (202) 707-3764 Carl Fleischhauer, Coordinator American Memory Library of Congress Phone: (202) 707-6233 Fax: (202) 707-3764 Joanne Freeman 2000 Jefferson Park Avenue, No. 7 Charlottesville, VA 22903 Prosser Gifford Director for Scholarly Programs Library of Congress Phone: (202) 707-1517 Fax: (202) 707-9898 E-mail: pgif@seq1.loc.gov Jacqueline Hess, Director National Demonstration Laboratory for Interactive Information Technologies Library of Congress Phone: (202) 707-4157 Fax: (202) 707-2829 Susan Hockey, Director Center for Electronic Texts in the Humanities (CETH) Alexander Library Rutgers University 169 College Avenue New Brunswick, NJ 08903 Phone: (908) 932-1384 Fax: (908) 932-1386 E-mail: hockey@zodiac.rutgers.edu William L. Hooton, Vice President Business & Technical Development Imaging & Information Systems Group I-NET 6430 Rockledge Drive, Suite 400 Bethesda, MD 208l7 Phone: (301) 564-6750 Fax: (513) 564-6867 Anne R. Kenney, Associate Director Department of Preservation and Conservation 701 Olin Library Cornell University Ithaca, NY 14853 Phone: (607) 255-6875 Fax: (607) 255-9346 E-mail: LYDY@CORNELLA.BITNET Ronald L. Larsen Associate Director for Information Technology University of Maryland at College Park Room B0224, McKeldin Library College Park, MD 20742-7011 Phone: (301) 405-9194 Fax: (301) 314-9865 E-mail: rlarsen@libr.umd.edu Maria L. Lebron, Managing Editor The Online Journal of Current Clinical Trials l333 H Street, N.W. Washington, DC 20005 Phone: (202) 326-6735 Fax: (202) 842-2868 E-mail: PUBSAAAS@GWUVM.BITNET Michael Lesk, Executive Director Computer Science Research Bell Communications Research, Inc. Rm 2A-385 445 South Street Morristown, NJ 07960-l9l0 Phone: (201) 829-4070 Fax: (201) 829-5981 E-mail: lesk@bellcore.com (Internet) or bellcore!lesk (uucp) Clifford A. Lynch Director, Library Automation University of California, Office of the President 300 Lakeside Drive, 8th Floor Oakland, CA 94612-3350 Phone: (510) 987-0522 Fax: (510) 839-3573 E-mail: calur@uccmvsa Avra Michelson National Archives and Records Administration NSZ Rm. 14N 7th & Pennsylvania, N.W. Washington, D.C. 20408 Phone: (202) 501-5544 Fax: (202) 501-5533 E-mail: tmi@cu.nih.gov Elli Mylonas, Managing Editor Perseus Project Department of the Classics Harvard University 319 Boylston Hall Cambridge, MA 02138 Phone: (617) 495-9025, (617) 495-0456 (direct) Fax: (617) 496-8886 E-mail: Elli@IKAROS.Harvard.EDU or elli@wjh12.harvard.edu David Woodley Packard Packard Humanities Institute 300 Second Street, Suite 201 Los Altos, CA 94002 Phone: (415) 948-0150 (PHI) Fax: (415) 948-5793 Lynne K. Personius, Assistant Director Cornell Information Technologies for Scholarly Information Sources 502 Olin Library Cornell University Ithaca, NY 14853 Phone: (607) 255-3393 Fax: (607) 255-9346 E-mail: JRN@CORNELLC.BITNET Marybeth Peters Policy Planning Adviser to the Register of Copyrights Library of Congress Office LM 403 Phone: (202) 707-8350 Fax: (202) 707-8366 C. Michael Sperberg-McQueen Editor, Text Encoding Initiative Computer Center (M/C 135) University of Illinois at Chicago Box 6998 Chicago, IL 60680 Phone: (312) 413-0317 Fax: (312) 996-6834 E-mail: u35395@uicvm..cc.uic.edu or u35395@uicvm.bitnet George R. Thoma, Chief Communications Engineering Branch National Library of Medicine 8600 Rockville Pike Bethesda, MD 20894 Phone: (301) 496-4496 Fax: (301) 402-0341 E-mail: thoma@lhc.nlm.nih.gov Dorothy Twohig, Editor The Papers of George Washington 504 Alderman Library University of Virginia Charlottesville, VA 22903-2498 Phone: (804) 924-0523 Fax: (804) 924-4337 Susan H. Veccia, Team leader American Memory, User Evaluation Library of Congress American Memory Evaluation Project Phone: (202) 707-9104 Fax: (202) 707-3764 E-mail: svec@seq1.loc.gov Donald J. Waters, Head Systems Office Yale University Library New Haven, CT 06520 Phone: (203) 432-4889 Fax: (203) 432-7231 E-mail: DWATERS@YALEVM.BITNET or DWATERS@YALEVM.YCC.YALE.EDU Stuart Weibel, Senior Research Scientist OCLC 6565 Frantz Road Dublin, OH 43017 Phone: (614) 764-608l Fax: (614) 764-2344 E-mail: INTERNET: Stu@rsch.oclc.org Robert G. Zich Special Assistant to the Associate Librarian for Special Projects Library of Congress Phone: (202) 707-6233 Fax: (202) 707-3764 E-mail: rzic@seq1.loc.gov Judith A. Zidar, Coordinator National Agricultural Text Digitizing Program Information Systems Division National Agricultural Library 10301 Baltimore Boulevard Beltsville, MD 20705-2351 Phone: (301) 504-6813 or 504-5853 Fax: (301) 504-7473 E-mail: INTERNET: JZIDAR@ASRR.ARSUSDA.GOV OBSERVERS: Helen Aguera, Program Officer Division of Research Room 318 National Endowment for the Humanities 1100 Pennsylvania Avenue, N.W. Washington, D.C. 20506 Phone: (202) 786-0358 Fax: (202) 786-0243 M. Ellyn Blanton, Deputy Director National Demonstration Laboratory for Interactive Information Technologies Library of Congress Phone: (202) 707-4157 Fax: (202) 707-2829 Charles M. Dollar National Archives and Records Administration NSZ Rm. 14N 7th & Pennsylvania, N.W. Washington, DC 20408 Phone: (202) 501-5532 Fax: (202) 501-5512 Jeffrey Field, Deputy to the Director Division of Preservation and Access Room 802 National Endowment for the Humanities 1100 Pennsylvania Avenue, N.W. Washington, DC 20506 Phone: (202) 786-0570 Fax: (202) 786-0243 Lorrin Garson American Chemical Society Research and Development Department 1155 16th Street, N.W. Washington, D.C. 20036 Phone: (202) 872-4541 Fax: E-mail: INTERNET: LRG96@ACS.ORG William M. Holmes, Jr. National Archives and Records Administration NSZ Rm. 14N 7th & Pennsylvania, N.W. Washington, DC 20408 Phone: (202) 501-5540 Fax: (202) 501-5512 E-mail: WHOLMES@AMERICAN.EDU Sperling Martin Information Resource Management 20030 Doolittle Street Gaithersburg, MD 20879 Phone: (301) 924-1803 Michael Neuman, Director The Center for Text and Technology Academic Computing Center 238 Reiss Science Building Georgetown University Washington, DC 20057 Phone: (202) 687-6096 Fax: (202) 687-6003 E-mail: neuman@guvax.bitnet, neuman@guvax.georgetown.edu Barbara Paulson, Program Officer Division of Preservation and Access Room 802 National Endowment for the Humanities 1100 Pennsylvania Avenue, N.W. Washington, DC 20506 Phone: (202) 786-0577 Fax: (202) 786-0243 Allen H. Renear Senior Academic Planning Analyst Brown University Computing and Information Services 115 Waterman Street Campus Box 1885 Providence, R.I. 02912 Phone: (401) 863-7312 Fax: (401) 863-7329 E-mail: BITNET: Allen@BROWNVM or INTERNET: Allen@brownvm.brown.edu Susan M. Severtson, President Chadwyck-Healey, Inc. 1101 King Street Alexandria, VA 223l4 Phone: (800) 752-05l5 Fax: (703) 683-7589 Frank Withrow U.S. Department of Education 555 New Jersey Avenue, N.W. Washington, DC 20208-5644 Phone: (202) 219-2200 Fax: (202) 219-2106 (LC STAFF) Linda L. Arret Machine-Readable Collections Reading Room LJ 132 (202) 707-1490 John D. Byrum, Jr. Descriptive Cataloging Division LM 540 (202) 707-5194 Mary Jane Cavallo Science and Technology Division LA 5210 (202) 707-1219 Susan Thea David Congressional Research Service LM 226 (202) 707-7169 Robert Dierker Senior Adviser for Multimedia Activities LM 608 (202) 707-6151 William W. Ellis Associate Librarian for Science and Technology LM 611 (202) 707-6928 Ronald Gephart Manuscript Division LM 102 (202) 707-5097 James Graber Information Technology Services LM G51 (202) 707-9628 Rich Greenfield American Memory LM 603 (202) 707-6233 Rebecca Guenther Network Development LM 639 (202) 707-5092 Kenneth E. Harris Preservation LM G21 (202) 707-5213 Staley Hitchcock Manuscript Division LM 102 (202) 707-5383 Bohdan Kantor Office of Special Projects LM 612 (202) 707-0180 John W. Kimball, Jr Machine-Readable Collections Reading Room LJ 132 (202) 707-6560 Basil Manns Information Technology Services LM G51 (202) 707-8345 Sally Hart McCallum Network Development LM 639 (202) 707-6237 Dana J. Pratt Publishing Office LM 602 (202) 707-6027 Jane Riefenhauser American Memory LM 603 (202) 707-6233 William Z. Schenck Collections Development LM 650 (202) 707-7706 Chandru J. Shahani Preservation Research and Testing Office (R&T) LM G38 (202) 707-5607 William J. Sittig Collections Development LM 650 (202) 707-7050 Paul Smith Manuscript Division LM 102 (202) 707-5097 James L. Stevens Information Technology Services LM G51 (202) 707-9688 Karen Stuart Manuscript Division LM 130 (202) 707-5389 Tamara Swora Preservation Microfilming Office LM G05 (202) 707-6293 Sarah Thomas Collections Cataloging LM 642 (202) 707-5333 END ************************************************************* Note: This file has been edited for use on computer networks. 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drawBuffersbufsWEBGL_draw_buffersextdrawBuffersWEBGLOES_texture_half_floatWEBGL_depth_textureOES_element_index_uintOES_texture_float_linearOES_texture_half_float_linearWEBGL_compressed_texture_atcWEBGL_compressed_texture_pvrtcEXT_color_buffer_half_floatWEBGL_color_buffer_floatEXT_frag_depthEXT_sRGBWEBGL_shared_resourcesEXT_shader_texture_lodautomaticallyEnabledExtensionsforEachincludeshouldEnableAutomaticallygetSupportedExtensionsMOZ_WEBKIT_programmaxUniformLengthmaxAttributeLengthptableutablegetProgramParameterACTIVE_UNIFORMS numUniformsgetActiveUniform lastIndexOf[lsgetUniformLocationlocpopulateUniformTable renderbufferrbisRenderbuffer_emscripten_glIsRenderbufferEPERMENOENTESRCHEINTREIOENXIOE2BIGENOEXECEBADFECHILDEAGAIN EWOULDBLOCKENOMEMEACCESEFAULTENOTBLKEBUSYEEXISTEXDEVENODEVENOTDIREISDIREINVALENFILEEMFILEENOTTYETXTBSYEFBIGENOSPCESPIPEEROFSEMLINKEPIPEEDOMERANGEENOMSGEIDRMECHRNGEL2NSYNCEL3HLTEL3RSTELNRNGEUNATCHENOCSIEL2HLTEDEADLKENOLCKEBADEEBADREXFULLENOANOEBADRQCEBADSLT EDEADLOCKEBFONTENOSTRENODATAETIMEENOSRENONETENOPKGEREMOTEENOLINKEADVESRMNTECOMMEPROTO EMULTIHOPEDOTDOTEBADMSGENOTUNIQEBADFDEREMCHGELIBACCELIBBADELIBSCNELIBMAXELIBEXECENOSYS ENOTEMPTY ENAMETOOLONGELOOP EOPNOTSUPP EPFNOSUPPORT ECONNRESETENOBUFS EAFNOSUPPORT EPROTOTYPEENOTSOCK ENOPROTOOPT ESHUTDOWN ECONNREFUSED EADDRINUSE ECONNABORTED ENETUNREACHENETDOWN ETIMEDOUT EHOSTDOWN EHOSTUNREACH EINPROGRESSEALREADY EDESTADDRREQEMSGSIZEEPROTONOSUPPORTESOCKTNOSUPPORT EADDRNOTAVAIL ENETRESETEISCONNENOTCONN ETOOMANYREFSEUSERSEDQUOTESTALEENOTSUP ENOMEDIUMEILSEQ EOVERFLOW ECANCELEDENOTRECOVERABLE EOWNERDEADESTRPIPE ERRNO_CODESSuccess NumberPairNot super-userNo such file or directoryNo such processInterrupted system call I/O errorNo such device or addressArg list too longExec format errorBad file number No childrenNo more processesNot enough corePermission denied Bad addressBlock device requiredMount device busy File existsCross-device linkNo such deviceNot a directoryIs a directoryInvalid argumentToo many open files in systemToo many open filesNot a typewriterText file busyFile too largeNo space left on device Illegal seekRead only file systemToo many links Broken pipeMath arg out of domain of funcMath result not representableFile locking deadlock errorFile or path name too longNo record locks availableFunction not implementedDirectory not emptyToo many symbolic linksNo message of desired typeIdentifier removedChannel number out of rangeLevel 2 not synchronizedLevel 3 halted Level 3 resetLink number out of rangeProtocol driver not attachedNo CSI structure availableLevel 2 haltedInvalid exchangeInvalid request descriptor Exchange fullNo anodeInvalid request code Invalid slotBad font file fmtDevice not a streamNo data (for no delay io) Timer expiredOut of streams resourcesMachine is not on the networkPackage not installedThe object is remoteThe link has been severedAdvertise error Srmount errorCommunication error on sendProtocol errorMultihop attempted$Cross mount point (not really error)!Trying to read unreadable message%Value too large for defined data typeGiven log. name not uniquef.d. invalid for this operationRemote address changed Can access a needed shared lib Accessing a corrupted shared lib.lib section in a.out corrupted#Attempting to link in too many libs#Attempting to exec a shared libraryIllegal byte sequenceStreams pipe errorToo many usersSocket operation on non-socketDestination address requiredMessage too longProtocol wrong type for socketProtocol not availableUnknown protocolSocket type not supported Not supportedProtocol family not supported/Address family not supported by protocol familyAddress already in useAddress not available#Network interface is not configuredNetwork is unreachableConnection reset by networkConnection abortedConnection reset by peerNo buffer space availableSocket is already connectedSocket is not connected Can't send after socket shutdownToo many referencesConnection timed outConnection refused Host is downHost is unreachableSocket already connectedConnection already in progressStale file handleQuota exceededNo medium (in tape drive)Operation canceledPrevious owner diedState not recoverableERRNO_MESSAGES___errno_state ___setErrNo=^(\/?|)([\s\S]*?)((?:\.{1,2}|[^\/]+?|)(\.[^.\/]*|))(?:[\/]*)$ splitPathReexec splitPathuplastallowAboveRootnormalizeArray isAbsolute trailingSlashPATHsplitfilterrootdirdirname lastSlashbasenameextnamepathsrjoin2 resolvedPathresolvedAbsolutecwd TypeError)Arguments to path.resolve must be stringsfromtostarttrim fromPartstoPartssamePartsLength outputPartsconcatrelativettysshutdownTTYdevinputoutputopsregisterDevice stream_opsregisterstreamnoderdevtty ErrnoErrorseekableflushcloseget_char bytesReadoffset timestampDatenowposput_charstdin_readableStateendedpromptInput: readlinevaldefault_tty_opsdefault_tty1_ops ops_tableMEMFS createNodemountisBlkdevmodeisFIFOnode_opsgetattrsetattrlookupmknodrenameunlinkrmdirreaddirsymlinkllseekmmapfilereadlinklinkchrdev_stream_opschrdevparentisDircontentsisFile usedBytesisLinkisChrdevgetFileDataAsRegularArraygetFileDataAsTypedArray newCapacity prevCapacityCAPACITY_DOUBLING_MAX oldContentsexpandFileStoragenewSizeresizeFileStorageattrinonlinkuidgidatimemtimectimeblksizeblocks genericErrorsold_nodenew_node lookupNodenew_dirnew_namedeleteentriesnewnameoldpathpositioncanOwnwhence allocatedflags byteOffsetprotdbs indexedDB mozIndexedDBwebkitIndexedDB msIndexedDB'IDBFS used, but indexedDB not supported DB_VERSION FILE_DATA DB_STORE_NAMEIDBFS getLocalSet getRemoteSetpopulateremotelocaldst reconcilesyncfsdbreqonupgradeneeded transaction fileStoreobjectStoreNamescontains objectStorecreateObjectStore indexNames createIndexunique onsuccessonerrorerrorpreventDefaultgetDB isRealDir toAbsolute mountpointcheckpopstatreadonlystore openKeyCursorcursor primaryKeycontinue lookupPathnode type not supportedloadLocalEntryentrymkdir writeFileencodingchmodutimestoreLocalEntryremoveLocalEntryloadRemoteEntryputstoreRemoteEntryremoveRemoteEntrytotalcreatekeyse2removeerrored completed readwritedonesortreverse isWindowsNODEFSplatform^win staticInitgetModeopts lstatSyncrealPathr+rx+w+wxwx+a+axax+rsrs+flagsToPermissionStringMapflagsToPermissionString chmodSyncdate utimesSync truncateSync mkdirSync writeFileSyncoldNodeoldPathnewDirnewNamenewPath renameSync unlinkSync rmdirSync readdirSync symlinkSync readlinkSyncnfdopenSync closeSyncBuffernbufferresreadSync writeSync fstatSynci32*_stdin_stdout_stderr_fflushmountsdevicesstreams nextInode nameTable currentPath initializedignorePermissionstrackingDelegateREADWRITE openFlagstracking : errno handleFSError follow_mount recurse_countdefaultscurrent current_pathislast isMountpointmountedfollowisRootgetPathhashparentidhashName name_next hashAddNodehashRemoveNode mayLookupnodeNameFSNodereadMode writeModedefinePropertiesisFolderisDevice destroyNodeisSocketxwxw+xaxa+ flagModesUnknown file open mode: modeStringToFlagsflagaccmoderwpermsnodePermissions mayCreateisdir mayDeletemayOpen MAX_OPEN_FDSfd_startfd_endfdnextfd getStreamFSStreamisReadisWriteisAppend newStream createStream closeStreamgetStreamFromPtrgetPtrForStream getDevicedevicemajorminormamimakedev getMountspseudo mountRootunmountmkdevnewpathold_path old_dirnamenew_path new_dirnameold_nameold_dir willMovePath%FS.trackingDelegate['willMovePath']('', '') threw an exception: message onMovePath#FS.trackingDelegate['onMovePath']('willDeletePath'FS.trackingDelegate['willDeletePath'](' onDeletePath%FS.trackingDelegate['onDeletePath'](' dontFollowlstatlchmodfchmodchownlchownfchowntruncate ftruncatecreatedungotten logReadFiles readFiles read file: onOpenFile trackingFlags#FS.trackingDelegate['onOpenFile']('', flags) threw an exception: seeking bytesWritten onWriteToFile&FS.trackingDelegate['onWriteToFile']('ioctlcmdutf8Invalid encoding type "readFileactualNumByteschdir/tmp/home/home/web_usercreateDefaultDirectories/dev /dev/null/dev/tty /dev/tty1 random_devicecrypto randomBuffergetRandomValues randomBytesrandom createDeviceurandom/dev/shm /dev/shm/tmpcreateDefaultDevices /dev/stdin /dev/stdout /dev/stderrinvalid handle for stdin (invalid handle for stdout (invalid handle for stderr (createStandardStreamssetErrno constructorensureErrnoErrorFS.init was previously called. If you want to initialize later with custom parameters, remove any earlier calls (note that one is automatically added to the generated code)quitcanReadcanWrite forceRelativejoinPathbase absolutePathstandardizePath analyzePathdontResolveLastLinkexists findObject parentExists parentPath parentObject createFolderpart createPath properties createFilecreateDataFile createLinkobjLazy loading should have been performed (contents set) in createLazyFile, but it was not. Lazy loading only works in web workers. Use --embed-file or --preload-file in emcc on the main thread.-Cannot load without read() or XMLHttpRequest. forceLoadFile lengthKnownchunksLazyUint8Array chunkSize chunkOffsetchunkNumgetterLazyUint8Array_get setDataGetterLazyUint8Array_setDataGetter cacheLengthHEADCouldn't load . Status: NumbergetResponseHeaderContent-length datalengthheader Accept-RangeshasByteServinginvalid range () or no bytes requested!only # bytes available! programmer error!setRequestHeaderRangebytes= responseType arraybufferoverrideMimeType"text/plain; charset=x-user-definedresponsedoXHR lazyArray doXHR failed!_length _chunkSizeLazyUint8Array_cacheLengthsCannot do synchronous binary XHRs outside webworkers in modern browsers. Use --embed-file or --preload-file in emccdefinePropertyfnforceLoadLazyFilestream_ops_readcreateLazyFileBrowserfullnamedontCreateFile byteArrayonloadcp finishhandledpreloadPluginsplugin canHandle processData asyncLoadcreatePreloadedFileEM_FS_locationpathnameDB_NAME openRequest creating dbopenRequest_onupgradeneededfilesokfail putRequestputRequest_onsuccessputRequest_onerroropenRequest_onsuccess saveFilesToDB getRequestgetRequest_onsuccessgetRequest_onerrorloadFilesFromDBmainLoop timingMode timingValue scheduler setTimeoutrunnerBrowser_mainLoop_schedulermethodtimeoutrequestAnimationFramerAF _emscripten_set_main_loop_timing noExitRuntimeemscripten_set_main_loop: there can only be one main loop function at once: call emscripten_cancel_main_loop to cancel the previous one before setting a new one with different parameters.currentlyRunningMainloopthisMainLoopIdqueueblockerremainingBlockers remainingcountedmain loop blocker "" took  ms updateStatuscurrentFrameNumberLooks like you are rendering without using requestAnimationFrame for the main loop. You should use 0 for the frame rate in emscripten_set_main_loop in order to use requestAnimationFrame, as that can greatly improve your frame rates!runIterSDLaudioqueueNewAudioDataBrowser_mainLoop_runnerfpssimulateInfiniteLoopSimulateInfiniteLoop_emscripten_set_main_looppauseresume setStatusPlease wait...expectedBlockersexpected ( preMainLooppreRetexception thrown: postMainLoop isFullScreen pointerLockmoduleContextCreatedCallbacksworkersinittedBlobhasBlobConstructor@warning: no blob constructor, cannot create blobs with mimetypes BlobBuilderMozBlobBuilderWebKitBlobBuilderwarning: no BlobBuilder URLObjectURL webkitURLnoImageDecodingnwarning: Browser does not support creating object URLs. Built-in browser image decoding will not be available. imagePlugin\.(jpg|jpeg|png|bmp)$testimagePlugin_canHandle getMimetype$Blob constructor present but fails: ; falling back to blob builderbbappendgetBlobcreateObjectURLImageimgcompleteImage  could not be decoded createElement2d drawImagerevokeObjectURL img_onload img_onerrorimagePlugin_handle audioPluginnoAudioDecoding.ogg.wav.mp3audioPlugin_canHandleAudiocanplaythrough.warning: browser could not fully decode audio , trying slower base64 approach@ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/BASEPADleftcharleftbitsencode64 data:audio/x-;base64, audio_onerrorsafeSetTimeoutaudioPlugin_handlepointerLockElementmozPointerLockElementwebkitPointerLockElementmsPointerLockElementpointerLockChangerequestPointerLockmozRequestPointerLockwebkitRequestPointerLockmsRequestPointerLockexitPointerLockmozExitPointerLockwebkitExitPointerLockmsExitPointerLockpointerlockchangemozpointerlockchangewebkitpointerlockchangemspointerlockchangeelementPointerLockclickevuseWebGL antialiasalphacontextAttributes attributestylebackgroundColorblack setInModuleXcannot set in module if GLctx is used, but we are a non-GL context that would replace itdestroyContextfullScreenHandlersInstalled lockPointer resizeCanvasvrDevice parentNodecanvasContainerwebkitFullScreenElementwebkitFullscreenElementmozFullScreenElementmozFullscreenElementfullScreenElementfullscreenElementmsFullScreenElementmsFullscreenElementwebkitCurrentFullScreenElementcancelFullScreenmozCancelFullScreenwebkitCancelFullScreenmsExitFullscreenexitFullscreensetFullScreenCanvasSize insertBefore removeChildsetWindowedCanvasSize onFullScreenupdateCanvasDimensionsfullScreenChangefullscreenchangemozfullscreenchangewebkitfullscreenchangeMSFullscreenChangediv appendChildrequestFullScreenmozRequestFullScreenmsRequestFullscreenwebkitRequestFullScreenElementALLOW_KEYBOARD_INPUT vrDisplaynextRAFdelayfakeRequestAnimationFramemozRequestAnimationFramewebkitRequestAnimationFramemsRequestAnimationFrameoRequestAnimationFrame safeCallbackallowAsyncCallbacksqueuedAsyncCallbackspauseAsyncCallbacksresumeAsyncCallbackssafeRequestAnimationFrame setIntervalsafeSetInterval image/jpegjpgjpeg image/pngpng image/bmpbmp audio/oggogg audio/wavwav audio/mpegmp3 getUserMedia navigatormozGetUserMedia movementX mozMovementXwebkitMovementX getMovementX movementY mozMovementYwebkitMovementY getMovementYdeltaDOMMouseScrolldetail mousewheel wheelDeltawheeldeltaY unrecognized mouse wheel event: getMouseWheelDeltamouseXmouseYmouseMovementXmouseMovementYtouches lastTouches mousemovegetBoundingClientRectrectcwscrollX pageXOffsetscrollY pageYOffset touchstarttouchend touchmovetouchpageXleft adjustedXpageYtop adjustedYcoords identifiercalculateMouseEvent xhr_onloadxhrLoad arrayBufferLoading data file "" failed (no arrayBuffer).noRunDepal " failed.resizeListenerslistenerupdateResizeListeners noUpdates setCanvasSize windowedWidthwindowedHeightscreenwNativehNative widthNative heightNativeforcedAspectRatioroundfactorremoveProperty setPropertypx important wgetRequestsnextWgetRequestHandlegetNextWgetRequestHandle_environ ___environMAX_ENV_VALUESTOTAL_ENV_SIZEpoolPtrenvPtr___buildEnvironmentcalledENVUSERweb_userPWDHOMELANGi8*strings totalSizeenvline)Environment size exceeded TOTAL_ENV_SIZE!ptrSize_getenv splitPoint_putenvrwopsmem_SDL_RWFromConstMemfontsfontfontData_TTF_FontHeightestimateTextWidth _TTF_SizeTextloadColorToCSSRGBcolorpx fontString makeSurfacetext:surfsurfacessurfDatasave fillStyle textBaselinefillTextrestore_TTF_RenderText_SolidmusiccurrentPositionhookMusicFinished_Mix_HaltMusicpausedMusic is already playing. audiosinfowebAudioresourceplay playWebAudio pauseWebAudioonendedlooploopsvolume_Mix_PlayMusic_Mix_FreeChunkrwopsIDrawDTrying to reuse preloaded audio, but freePreloadedMediaOnUse is set!Cannot find preloaded audio Couldn't find file for: freePreloadedMediaOnUsewebAudioAvailableSDL_canPlayWithWebAudiocanPlayWithWebAudioonDecodeComplete decodedBuffer audioContextdecodeAudioDatamimetypeblobmozAudioChannelTypecontent_Mix_LoadWAV_RWfreesrcchannelchannelMinimumNumberchannelsAll  channels in use! channelInfo cloneNode frequencychannelFinishedSDL_audio_onended_Mix_PlayChannelpauseOntimer clearTimeoutnumAudioTimersPendingcaller_SDL_PauseAudioallocateChannels_SDL_CloseAudiolockedscreenIsReadOnlyimage discardOnLockcreateImageDataopaqueFrontBuffer getImageData copyOnLock isFlagSetKCopyOnLock is not supported for SDL_LockSurface with SDL_HWPALETTE flag set_SDL_LockSurface _SDL_FreeRWfreeSrccleanupold added_cleanup addCleanupcomp_stbi_image_freeparamsrawDatabpp callStbImageOnly file names that have been preloaded are supported for IMG_Load_RW. Consider using STB_IMAGE=1 if you want synchronous image decoding (see settings.js)DTrying to reuse preloaded image, but freePreloadedMediaOnUse is set!Cannot find preloaded image U. Consider using STB_IMAGE=1 if you want synchronous image decoding (see settings.js)load:globalCompositeOperationcopy imageData sourcePtrdestPtrcannot handle bpp putImageData source-over _IMG_Load_RW_name_SDL_RWFromFile _IMG_Load blitSurfacesrcrectdstrect_SDL_UpperBlitScaled_SDL_UpperBlit startTime _SDL_GetTicks canvasPooleventsmixerFrequency mixerFormatmixerNumChannelsmixerChunkSize glAttributes keyboardState keyboardMapcanRequestFullscreenisRequestingFullscreen textInput initFlags buttonStatemodState DOMButtonsDOMEventToSDLEventTOUCH_DEFAULT_ID eventHandlereventHandlerContextkeyCodes scanCodesloadRect updateRectsecondleftXleftYrightXrightYintersectionOfRectsfmtcheckPixelFormatrgbargb(rgba(loadColorToCSSRGBAtranslateColorToCSSRGBAtranslateRGBAToCSSRGBAtranslateRGBAToColoris_SDL_HWSURFACEis_SDL_HWPALETTE is_SDL_OPENGL pixelFormatrmaskgmaskbmaskamask usePageCanvasdepthstencilcolors fullWidth fullHeightrXstartXrYstartYrWendXrHendYdata32colors32copyIndexedColorDatarefcountPointerrefcount freeSurfaceSDL_LockSurfaceblitSurface__depssrcDatadstDatasrdrclipRectscale widthScale heightScaleblitwblith globalAlphaoldAlpha8WARNING: copying canvas data to memory for compatibility downFingers savedKeydownkeyupkeyCodeunpressAllPressedKeys firstTouchmouseEventType mousedownbuttonclientXclientY mouseEventchangedTouchesmouseupdeltaXdeviceIDkeydownkeypressunicodekeypressCharCodecharCodemouseoutfocusblurvisibilitychangehiddenvisibleunloadresize%SDL event queue full, dropping eventsflushEventsToHandler receiveEvent KeyboardEventDOM_KEY_LOCATION_RIGHTlookupKeyCodeForEventdown handleEvent sdlEventPtr pollEventiiijoystickEventStatequeryJoysticks makeCEvent_memcpyscancStrlxlydxdyforcejoystick_button_upjoystick_button_downstatejoystick_axis_motionaxisjoystickAxisValueConversionSDL_WINDOWEVENT_FOCUS_GAINEDSDL_WINDOWEVENT_FOCUS_LOSTSDL_WINDOWEVENT_SHOWNSDL_WINDOWEVENT_HIDDENvisibilityEventIDUnhandled SDL event: ttfContexttempCtx measureTextwebAudioGainNodegain)setGetVolume failed to set audio volume: setGetVolumewebAudioPannerNode setPositionsetPannerPosition webAudioNode1Cannot play back audio object that was not loadedcreateBufferSource createPanner panningModel equalpower createGainconnect destination currentTimeplayWebAudio failed: durationpauseWebAudio failed: AudioContextwebkitAudioContextopenAudioContextdstAudioBuffergetChannelData channelDatasizeSamplesPerChannel;Web Audio output buffer length mismatch! Destination size:  samples vs expected samples!heapPtrfillWebAudioBufferFromHeapdumping surface diagonal : debugSurfacelastJoystickStatejoystickNamePoolbuttonsgetJoystickButtonStatejoystickaxesrecordJoystickStatepressed getGamepad prevState getGamepadswebkitGamepads mozGamepadsgamepadswebkitGetGamepadsfcn deviceIndex_Mix_VolumeMusic GLImmediate vertexCounter vertexDataU8addRendererComponentCOLOR UNSIGNED_BYTE clientColor_emscripten_glColor4f _glColor4ubstencilMaskSeparatex0x1!_emscripten_glStencilMaskSeparatefildes_close_fsync_fileno_fclose stencilMask_emscripten_glStencilMaskhint_glHint_acosf stencilFuncx2_emscripten_glStencilFunctoggle;SDL_ShowCursor called with unknown toggle parameter value: _SDL_ShowCursor_Mix_FadingChannel_Mix_PausedMusic uniform3iv_emscripten_glUniform3iv shaderSource_emscripten_glShaderSource_SDL_DestroyCond/=right_Mix_SetPanningmatricesModified matrixVersion currentMatrix matrixLibmat4matrix _glScalef blendEquation_emscripten_glBlendEquation#_emscripten_glReleaseShaderCompiler lineWidth _glLineWidthMix_QuerySpec: TODO_Mix_QuerySpec texParameterf_emscripten_glTexParameterf _glAlphaFunc _SDL_SetAlpha texParameteri_emscripten_glTexParameteri ___tm_currentGMT___tm_timezone_tzname _daylight _timezone_tzsetgetTimezoneOffsetwintersummer toTimeString\(([A-Za-z ]+)\)$ extractZone winterName summerName winterNamePtr summerNamePtrtimetmPtr getSeconds getMinutesgetHoursgetDategetMonth getFullYeargetDaygetTimeyday summerOffset winterOffsetzonePtr _localtime_r _localtimetexture deleteTexture_glDeleteTexturesmultiplyfrustumbottomtop_nearValfarVal_emscripten_glFrustumtmpisNaN__inet_pton4_raw __inet_pton4_htonswords^((?=.*::)(?!.*::.+::)(::)?([\dA-F]{1,4}:(:|\b)|){5}|([\dA-F]{1,4}:){6})((([\dA-F]{1,4}((?!\3)::|:\b|$))|(?!\2\3)){2}|(((2[0-4]|1\d|[1-9])?\d|25[0-5])\.?\b){4})$ valid6regxZ::Z:RegExp[.]__inet_pton6_rawints __inet_pton6af _inet_pton chunksize_Mix_OpenAudioaddr__inet_ntop4_raw __inet_ntop4_ntohswordlongestlastzerozstarthasipv4v4part::ffff:0.0.0.00.0.0.1__inet_ntop6_raw __inet_ntop6 _inet_ntopgetTexParameterpname_emscripten_glGetTexParameterfv uniform4iv0v1v2v3_emscripten_glUniform4ibindRenderbuffer_emscripten_glBindRenderbufferviewportx3_emscripten_glViewport_SDL_PumpEventsdest_emscripten_memcpy_bigusage_emscripten_glBufferData GLEmulationfogStartparamfogEnd fogDensityfogModecurrentRenderer_emscripten_glFogffogColor_glFogfvTODO_mkport websocket _callbacksemit streamingprotocolfamilyserverpeerspending recv_queueSOCKFSwebsocket_sock_opssock_opssocknextname createSocket getSocketpollrequestvarargsrecvmsgmsgsendmsgsocket[wsport_socket remoteAddress remotePortws[s]?:\/\/([^:]+):(\d+)8WebSocket URL must be in the format ws(s)://address:port runtimeConfigws:##//ws://wss:// subProtocols subprotocol^ +| +$ *, * WebSocket binaryTypesocketdgram_send_queuepeeraddPeerhandlePeerEventssporto createPeergetPeer removePeerqueued handleOpenwasfirstnewport handleMessage ECONNREFUSED: Connection refusedonopenonclose onmessagepeer_socket_onmessagemaskdaddrdport readyStateCLOSINGCLOSEDOPENsaddrlisten CONNECTINGServerWebSocketServerhost connectionnewsockclosed!EHOSTUNREACH: Host is unreachablebacklog listensockacceptgetname queuedLength queuedOffset queuedBufferbytesRemaining_write_sendnbyte_pwrite_strlen_fputs_fputc streamObj newlineRet_putserrnumbuflen strerrbuf _strerror_r _strerror___errno_location_perror_emscripten_glTexParameterfvMix_Linked_Version: TODO_Mix_Linked_Version_unlink_rmdir_remove depthRange_emscripten_glDepthRangefoflag_open_opendir uniform3f_emscripten_glUniform3f+_emscripten_set_main_loop_expected_blockersgetProgramInfoLogACTIVE_ATTRIBUTES numAttribsgetActiveAttrib activeAttrib_emscripten_glGetProgramivgetShaderInfoLog(unknown error)_emscripten_glGetShaderivgetShaderSource3WARNING: getObjectParameteriv received invalid id: %_emscripten_glGetObjectParameterivARB blendFunc_emscripten_glBlendFunc uniform3i_emscripten_glUniform3i stencilOp_emscripten_glStencilOp _Mix_VolumebindAttribLocation _emscripten_glBindAttribLocation_cosf texSubImage2Dlevelxoffsetyoffset_glTexSubImage2Ddisable _glDisableenableVertexAttribArray%_emscripten_glEnableVertexAttribArray_memset _BDtoILow_strcat uniform1i_emscripten_glUniform1i bindTexture_glBindTextureMix_FadeInChannelTimed_Mix_FadeInChannelTimed_glGetIntegerv vertexDataTEXTURE0FLOAT_emscripten_glTexCoord2i_glTexCoord2fvblendFuncSeparate_emscripten_glBlendFuncSeparatecopyTexImage2Dx4x5x6x7_glCopyTexImage2D_asinvertexAttrib3f_emscripten_glVertexAttrib3f_Mix_CloseAudioglTexGeni: TODO _glTexGenisetClientAttributeNORMALstridepointer_emscripten_glNormalPointeramode_accessenable _glEnable isEnabled _glIsEnabled_glGetBooleanvextsgl_extsGL_OpenGL ES GLSL 1.00 (WebGL) _glGetString createShader shaderType_glCreateShader_glShaderSource compileShader_glCompileShader attachShader_glAttachShader detachShader_glDetachShader useProgram _glUseProgram deleteProgram_glDeleteProgram_glBindAttribLocation linkProgram_glLinkProgram bufferObjlastArrayBuffer _glBindBuffer _glGetFloatv_glEnableVertexAttribArraydisableVertexAttribArray_glDisableVertexAttribArrayvertexAttribPointer normalized_glVertexAttribPointer activeTexture_glActiveTexture fogEnabled currentVaoenabledVertexAttribArrays hasRunInitnWARNING: using emscripten GL emulation. This is a collection of limited workarounds, do not expect it to work.aWARNING: using emscripten GL emulation unsafe opts. If weirdness happens, try -s GL_UNSAFE_OPTS=0validCapabilitiesglEnable_emscripten_glEnable lastRenderercap glDisable_emscripten_glDisable_emscripten_glIsEnabled glGetBooleanv_emscripten_glGetBooleanvgetAttributeFromCapabilityattribenabledClientAttributes glGetIntegerv_emscripten_glGetIntegervMAX_TEXTURE_IMAGE_UNITSMAX_VERTEX_UNIFORM_VECTORSMAX_FRAGMENT_UNIFORM_VECTORSMAX_VARYING_VECTORS MAX_COMBINED_TEXTURE_IMAGE_UNITSclientAttributesVERTEXclientActiveTexture glGetString_emscripten_glGetString GL_EXT_texture_env_combine GL_ARB_texture_env_crossbar GL_ATI_texture_env_combine3 GL_NV_texture_env_combine4 GL_EXT_texture_env_dot3 GL_ARB_multitexture GL_ARB_vertex_buffer_object GL_EXT_framebuffer_object GL_ARB_vertex_program GL_ARB_fragment_program GL_ARB_shading_language_100 GL_ARB_shader_objects GL_ARB_vertex_shader GL_ARB_fragment_shader GL_ARB_texture_cube_map GL_EXT_draw_range_elements; GL_ARB_texture_compression GL_EXT_texture_compression_s3tc" GL_EXT_texture_filter_anisotropic shaderInfosglCreateShader_emscripten_glCreateShader ftransform'precision +(low|medium|high)p +float *;precision mediump float;\nensurePrecisionglShaderSource VERTEX_SHADERsearch u_projectionhas_pm u_modelViewhas_mm a_positionhas_pvneed_pmneed_mmneed_pvftransform\(\))(u_projection * u_modelView * a_position)gl_ProjectionMatrix gl_ModelViewMatrixTranspose\[2\]Pvec4(u_modelView[0][2], u_modelView[1][2], u_modelView[2][2], u_modelView[3][2])gl_ModelViewMatrix gl_Vertexgl_ModelViewProjectionMatrix(u_projection * u_modelView)attribute vec4 a_position; \nuniform mat4 u_modelView; \nuniform mat4 u_projection; \n MAX_TEXTURES v_texCoordneed_vtcgl_TexCoord\\[\\]gl_MultiTexCoord a_texCoordattribute vec4 a_texCoord; \nvarying vec4 v_texCoord; \ngl_TextureMatrix\\[u_textureMatrixuniform mat4 u_textureMatrix gl_FrontColorvarying vec4 v_color; \nv_colorgl_Colorattribute vec4 a_color; \na_color gl_Normalattribute vec3 a_normal; \na_normalgl_FogFragCoord"varying float v_fogFragCoord; \nv_fogFragCoord gl_Fog.coloruniform vec4 u_fogColor; \n u_fogColor gl_Fog.enduniform float u_fogEnd; \nu_fogEnd gl_Fog.scaleuniform float u_fogScale; \n u_fogScalegl_Fog.density uniform float u_fogDensity; \n u_fogDensityglCompileShader_emscripten_glCompileShaderprogramShadersglAttachShader_emscripten_glAttachShaderglDetachShader_emscripten_glDetachShader programShader3WARNING: _glDetachShader received invalid program: glUseProgram_emscripten_glUseProgram currProgramfixedFunctionProgramglDeleteProgram_emscripten_glDeleteProgramzeroUsedProgramsglBindAttribLocation glLinkProgram_emscripten_glLinkProgram glBindBuffer_emscripten_glBindBufferelementArrayBuffer glGetFloatv_emscripten_glGetFloatvglHint_emscripten_glHintglEnableVertexAttribArrayglDisableVertexAttribArray&_emscripten_glDisableVertexAttribArrayglVertexAttribPointer!_emscripten_glVertexAttribPointervertexAttribPointers MapTreeLibinsertCNaiveListMap_insert __contains_iCNaiveListMap_contains__get_iCNaiveListMap_get CNaiveListMapchildkeyFragCNLNode CNLNode_child CNLNode_get CNLNode_setcurresetCKeyView_reset CKeyView_next CKeyView_get CKeyView_setCKeyView staticKeyView createKeyViewCNLNode_createKeyViewclear CNLNode_cleargetStaticKeyViewCNLNode_getStaticKeyViewCMapTreespawnMapTreeLib TexEnvJIT GL_TEXTURE0 GL_TEXTURE_1D GL_TEXTURE_2D GL_TEXTURE_3DGL_TEXTURE_CUBE_MAPGL_TEXTURE_ENVGL_TEXTURE_ENV_MODEGL_TEXTURE_ENV_COLORGL_TEXTURE_CUBE_MAP_POSITIVE_XGL_TEXTURE_CUBE_MAP_NEGATIVE_XGL_TEXTURE_CUBE_MAP_POSITIVE_YGL_TEXTURE_CUBE_MAP_NEGATIVE_YGL_TEXTURE_CUBE_MAP_POSITIVE_ZGL_TEXTURE_CUBE_MAP_NEGATIVE_Z GL_SRC0_RGB GL_SRC1_RGB GL_SRC2_RGB GL_SRC0_ALPHA GL_SRC1_ALPHA GL_SRC2_ALPHAGL_OPERAND0_RGBGL_OPERAND1_RGBGL_OPERAND2_RGBGL_OPERAND0_ALPHAGL_OPERAND1_ALPHAGL_OPERAND2_ALPHAGL_COMBINE_RGBGL_COMBINE_ALPHA GL_RGB_SCALEGL_ALPHA_SCALEGL_ADDGL_BLEND GL_REPLACE GL_MODULATEGL_DECAL GL_COMBINE GL_SUBTRACTGL_INTERPOLATE GL_TEXTURE GL_CONSTANTGL_PRIMARY_COLOR GL_PREVIOUS GL_SRC_COLORGL_ONE_MINUS_SRC_COLOR GL_SRC_ALPHAGL_ONE_MINUS_SRC_ALPHAGL_RGBGL_RGBAtej_TEXENVJIT_NAMESPACE_PREFIXuTexUnitTEX_UNIT_UNIFORM_PREFIX vTexCoordTEX_COORD_VARYING_PREFIX vPrimColorPRIM_COLOR_VARYING uTexMatrixTEX_MATRIX_UNIFORM_PREFIX s_texUnitss_activeTextures_requiredTexUnitsForPass[TexEnvJIT] ABORT: No support: abort_noSupportSanity failure: abort_sanity texUnitIDtexUnit getTexTypetexType texture2DNo support for 3D textures. textureCubeUnknown texType: 0x texCoordExpr * .xy)genTexUnitSampleExpropvec3Unsupported combiner op: 0xgetTypeFromCombineOp getCurTexUnitsrcExpr constantExpr previousVarUnsupported combiner src: 0xexpr.rgb (vec3(1.0) - .rgb).a(1.0 - .a)genCombinerSourceExpr.0valToFloatLiteral colorCombiner alphaCombiner colorScale alphaScaleenvColorcolorSrcalphaSrccolorOpalphaOp traverseKeykey0key1key2 computeKey0k computeKey1 computeKey2 recomputeKey invalidateKeyCTexEnv enabled_tex1D enabled_tex2D enabled_tex3Denabled_texCubetexTypesEnabled traverseStatekeyViewCTexUnit_traverseStateCTexUnitenabledCTexUnit_enabled genPassLinesvec4 passOutputVar passInputVarlines texLoadLines(texture.*?\(.*?\)) texLoadRegex loadCounter texLoadExprsecondOccurrenceprefixtexload texLoadVar;\n texLoadLine(texture.*\(.*\))CTexUnit_genPassLinesCTexUnit_getTexTypetextexVarcolorVaralphaVarvec3 .rgb + .rgb;float .a * .a; = vec4(.rgb * (1.0 -  + .rgb * genCombinerLines colorLines alphaLines scaledColor scaledAlphavec4(Unsupported TexEnv mode: 0xCTexEnv_genPassLines argsNeededcombinerUnsupported combiner: 0xsrcArropArrsrc0Exprsrc1Exprsrc2ExprisColor outputType outputVar - colorSrc2arg2Vararg2Line * (1.0 - Unmatched TexEnv.colorCombiner?CTexEnv_getCombinerLines maxTexUnitsspecifiedMaxTextureImageUnitsgluTexUnitPrefixvTexCoordPrefixuTexMatrixPrefix setGLSLVars indentSize lastPassVarnewLines resultDestindentgenAllPassLinesgetUsedTexUnitListgetTexUnitTypehook_activeTexture hook_enable hook_disable2WARNING: Unhandled `pname` in call to `glTexEnvf`. hook_texEnvf2WARNING: Unhandled `pname` in call to `glTexEnvi`. hook_texEnvi3WARNING: Unhandled `pname` in call to `glTexEnvfv`. hook_texEnvfv5WARNING: Unhandled `pname` in call to `glGetTexEnvi`.hook_getTexEnvivhook_getTexEnvfvspawnTexEnvJITtempData indexData rendererCacherendererComponentsrendererComponentPointer lastProgram lastStride matrixStack tempMatrixuseTextureMatrixNUM_ATTRIBUTEStotalEnabledClientAttributesliveClientAttributesmodifiedClientAttributesusedTexUnitListdisableBeginEndClientAttributes attributescacheMapenabledAttributesKeyfogParamrenderercreateRenderer getRendereruseCurrProgram hasTextures texAttribName u_texUnitaTexCoordPrefix vertexShaderfragmentShaderM float fog = exp(-u_fogDensity * u_fogDensity * ecDistance * ecDistance); \n fogFormula6 float fog = (u_fogEnd - ecDistance) * u_fogScale; \n1 float fog = exp(-u_fogDensity * ecDistance); \n gl_FragColor fsTexEnvPasstexUnitAttribListtexUnitVaryingListtexUnitUniformListvsTexCoordInitsattribute vec4 varying vec4 uniform sampler2D  uniform mat4 vsFogVaryingInit' v_fogFragCoord = abs(ecPosition.z);\nattribute vec4 a_position;attribute vec4 a_color;varying vec4 v_color;varying float v_fogFragCoord;uniform mat4 u_modelView;uniform mat4 u_projection; void main(){- vec4 ecPosition = u_modelView * a_position;* gl_Position = u_projection * ecPosition; v_color = a_color;}\n\n+vsSourcefogHeaderIfNeededvarying float v_fogFragCoord; uniform vec4 u_fogColor; uniform float u_fogEnd; uniform float u_fogScale; uniform float u_fogDensity; "float ffog(in float ecDistance) {  fog = clamp(fog, 0.0, 1.0);  return fog; fogPasscgl_FragColor = vec4(mix(u_fogColor.rgb, gl_FragColor.rgb, ffog(v_fogFragCoord)), gl_FragColor.a);\nprecision mediump float;fsSourceFRAGMENT_SHADER createProgramtextureMatrixVersionpositionLocationgetAttribLocationtexCoordLocations colorLocationCURRENT_PROGRAM prevBoundProg texSamplerLocvertexAttrib4fvtextureMatrixLocationsnormalLocationmodelViewLocationprojectionLocation hasNormalhasColor floatTypefogColorLocationfogEndLocationfogScaleLocationfogDensityLocationhasFog firstVertex lastVertexcanSkip bufferSubDatamodelViewMatrixVersionuniformMatrix4fvprojectionMatrixVersionposAttr normalAttr attribLoctexAttrvertexAttrib4f colorAttr uniform4fv uniform1fprepare _glDrawArrays_emscripten_glDrawArrays drawArraysprepareClientAttributes vertexPointer_glDrawElements_emscripten_glDrawElements drawElementsindices setupHooks setupFuncsglActiveTexture_emscripten_glActiveTexture _glTexEnvf glTexEnvf_emscripten_glTexEnvf _glTexEnvi glTexEnvi_emscripten_glTexEnvi _glTexEnvfv glTexEnvfv_emscripten_glTexEnvfv_glGetTexEnviv_glGetTexEnvfv_WARNING: using emscripten GL immediate mode emulation. This is very limited in what it supportsGL_MAX_TEXTURE_IMAGE_UNITSenabledClientAttribIndicesidentityclientStartPointer minStride maxStridebeginEndrestrideBuffer srcStridesize4 srcStride4 startIndex numVertexesemulatedElementArrayBuffernumProvidedIndexes currIndex indexBufferunsupported immediate mode numQuads TRIANGLESUNSIGNED_SHORTmat3quat4 MatrixArrayvecaddvec2subtractnegatecrossy2z2dot directionlerpdist unprojectprojviewinverse multiplyVec4mat transposea01a02a12toMat4a03a13a23 determinanta00a10a11a20a21a22a30a31a32a33b00b01b02b03b04b05b06b07b08b09b10b11invDet toRotationMattoMat3 toInverseMat3b21mat2b12b13b20b22b23b30b31b32b33 multiplyVec3 translaterotateanglerotateXrotateYrotateZrltbfarnear perspectivefovyPIaspectortholookAty0y1z0z1eyeeyexeyeyeyezupxupyupzcentercenterxcenterycenterzfromRotationTranslationquatxxxyxzyyyzzzwywz calculateWquat2q0q1q2q3invDot conjugateqaxqayqazqawqbxqbyqbzqbwqxqyqzqwixiyiziwslerp cosHalfTheta halfTheta sinHalfThetaratioAratioBGLImmediateSetup_glLoadIdentity_fcntldup2 _glColor3f _glVertex3fSDL_GetThreadID_SDL_GetThreadID deleteShader_emscripten_glDeleteShadervariable___cxa_guard_acquire deleteBuffer_emscripten_glDeleteBuffers_emscripten_glTexParameteriv_sinfuniformMatrix2fv_emscripten_glUniformMatrix2fvenabledClientStates_glEnableClientState_Mix_FreeMusic _setsockoptoptnameoptvaloptlen_cosglDrawBuffer: TODO _glDrawBufferglTexEnvfv: TODOgetVertexAttrib_emscripten_glGetVertexAttribivglReadBuffer: TODO _glReadBuffer_emscripten_glUniformMatrix4fvdrawArraysInstancedANGLE primcount!_emscripten_glDrawArraysInstanced_SDL_DestroyMutex_emscripten_glGetPointervglLightModelfv: TODO_glLightModelfvaddrsnames address_mapDNS&exceeded max address mappings of 65535172.29. lookup_name lookup_addr BUFFER_SIZEMAX_BUFFER_SIZEnextFdfdsnextportmaxport connectionsportmap localAddraddrPoolSocketssasalen__read_sockaddriovnameleniovbaseiovlen_sendmsg_SDL_WM_GrabInput_glNormalPointerstencilFuncSeparate!_emscripten_glStencilFuncSeparate _glPopMatrix _glTexCoord2f _i64Subtract_fabsf_Mix_LoadMUS_RWCreateRGBSurfaceFrom>TODO: Partially unimplemented SDL_CreateRGBSurfaceFrom called! pitchOfDstrowpitch baseOfSrc baseOfDstcol_SDL_CreateRGBSurfaceFrom_SDL_CreateCond_glFogi enabledClientAttributes_preBeginclientAttributes_preBegin components_glBegin_emscripten_glColor4ub_emscripten_glColor3ub _glColor3ubvnitems bytesToWrite_fwrite__reallyNegative textIndexargIndex getNextArgcurrArgstartTextIndexflagAlwaysSigned flagLeftAlignflagAlternative flagZeroPad flagPadSign flagsLoop precisionSet precision precisionChrargSizenextNextqXsignedorigArgargText currAbsArgi64Math0xlower toUpperCase(nil)FGnanisFiniteinf isGeneraleffectivePrecision toExponentialexponent [eE][-+]\d$toFixed(null) argLength__formatString_fprintf_printf_glVertexPointercreateRenderbuffer_emscripten_glGenRenderbuffers___DEFAULT_POLLMASKnonzeronfdspollfd_poll%nfds must be less than or equal to 64 exceptfdsexceptfds not supportedreadfds srcReadLow srcReadHighwritefds srcWriteLow srcWriteHigh srcExceptLow srcExceptHigh dstReadLow dstReadHigh dstWriteLow dstWriteHigh dstExceptLow dstExceptHighallLowallHigh_select depthFunc_emscripten_glDepthFuncUnknown SDL GL attribute (1). Please check if your SDL version is supported._SDL_GL_SetAttributecopyTexSubImage2D_glCopyTexSubImage2DglLightfv: TODO _glLightfv uniform4iv_emscripten_glUniform4iv_glClear_emscripten_glLoadIdentityvertexAttribDivisorANGLEdivisor!_emscripten_glVertexAttribDivisor isTexture_emscripten_glIsTexture readPixels _glReadPixels errorMessageunknown SDL-emscripten error _SDL_GetError _glTranslatefTODO: glShadeModel _glShadeModel_emscripten_glColorPointerglTexImage1D: TODO _glTexImage1D doSwapBuffers_SDL_GL_SwapBuffersSDL threads cannot be supported in the web platform because they assume shared state. See emscripten_create_worker etc. for a message-passing concurrency model that does let you run code in another thread._SDL_CreateThread _gettimeofday_emscripten_glUniform4fv clearStencil_emscripten_glClearStencilgetError_emscripten_glGetErroricon_SDL_WM_SetCaption_emulGlDeleteVertexArrays _emscripten_glDeleteVertexArraysSDL_SaveBMP_RW: TODO_SDL_SaveBMP_RW_emscripten_glGetTexParameterivglTexGenfv: TODO _glTexGenfvgenerateMipmap_emscripten_glGenerateMipmapsampleCoverage_emscripten_glSampleCoverage_SDL_EnableUNICODE-__emscripten_push_uncounted_main_loop_blocker_glLoadMatrixf_rename uniform4f_emscripten_glUniform4fglTexCoord4f: TODO _glTexCoord4fhardwareConcurrency_sysconfframebufferTexture2D attachment textarget"_emscripten_glFramebufferTexture2D uniform2fv_emscripten_glUniform2fv _glColor4ubv Wrong mode  passed to glMatrixMode_emscripten_glMatrixModeSDL_CondBroadcast: TODO_SDL_CondBroadcast_abortframebufferRenderbufferrenderbuffertarget%_emscripten_glFramebufferRenderbuffer_taneof_feof polygonOffset_emscripten_glPolygonOffset _Mix_LoadMUSisBuffer_emscripten_glIsBuffer uniform2iv_emscripten_glUniform2iv_i64AddvertexAttrib1fv_emscripten_glVertexAttrib1fv_fabs _glColor4fv_emscripten_glTexSubImage2D uniform2f_emscripten_glUniform2f_emscripten_run_script_int__write_sockaddr_recvmsgaddrpaddrlen_bind_Mix_PlayingMusic uniform2i_emscripten_glUniform2i_emscripten_glEnableClientStatedeleteRenderbuffer!_emscripten_glDeleteRenderbuffersPure virtual function called!___cxa_pure_virtual getUniform_emscripten_glGetUniformiv_atan depthMask_emscripten_glDepthMask_emscripten_glDepthRange_glPolygonOffset_Mix_AllocateChannels_acos _glDepthRange _glFrustumSDL_WaitThread_SDL_WaitThread_SDL_CreateMutex glGetShaderPrecisionFormat: TODO&_emscripten_glGetShaderPrecisionFormat _glPushMatrix_SDL_VideoModeOK_glEnd_glOrthoscissor _glScissor_atan2_emscripten_glBindProgramARByear __isLeapYearsum __arraySum__MONTH_DAYS_LEAP__MONTH_DAYS_REGULARnewDatedaysleap currentMonthdaysInCurrentMonthsetDatesetMonth setFullYear __addDaystmtm_zonetm_sectm_mintm_hourtm_mdaytm_montm_yeartm_wdaytm_ydaytm_isdst tm_gmtoffpattern%a %b %d %H:%M:%S %Y%c%m/%d/%y%D%Y-%m-%d%F%b%h %I:%M:%S %p%r%H:%M%R%H:%M:%S%T%x%XEXPANSION_RULES_1ruleSundayMondayTuesday WednesdayThursdayFridaySaturdayWEEKDAYSJanuaryFebruaryMarchAprilMayJuneJulyAugust SeptemberOctoberNovemberDecemberMONTHSdigits characterleadingSomething leadingNullssgncomparedate1date2 compareByDay janFourthgetFirstWeekStartDatethisDatejanFourthThisYearjanFourthNextYearfirstWeekStartThisYearfirstWeekStartNextYeargetWeekBasedYear%a%A%B%C%d%e%g%G%H%I%j%m%M%nAMPM%p%S\t%tday%ujanFirst firstSundayendDatefebruaryFirstUntilEndMonthfirstSundayUntilEndJanuary0100%UdaysDifference%V%w firstMondayfirstMondayUntilEndJanuary%W%y%Yoffahead0000%z%Z%%EXPANSION_RULES_2maxsize _strftimeglMaterialfv: TODO _glMaterialfvcheckFramebufferStatus$_emscripten_glCheckFramebufferStatusvertexAttrib3fv_emscripten_glVertexAttrib3fv_glFlush clearColor _glClearColorbufSizeinfoname_emscripten_glGetActiveAttrib framebufferfb isFramebuffer_emscripten_glIsFramebuffer_emscripten_glLineWidth _BDtoIHigh_emscripten_glGetAttribLocation_emscripten_glRotatef!getFramebufferAttachmentParameter1_emscripten_glGetFramebufferAttachmentParameterivinterval _SDL_AddTimer!_emscripten_glClientActiveTexture_emscripten_glColor3f _glColor3fvglGetTexLevelParameteriv: TODO_glGetTexLevelParameteriv maxLengthinfoLog_emscripten_glGetShaderInfoLog_SDL_WarpMousegetRenderbufferParameter(_emscripten_glGetRenderbufferParameteriv+WARNING: deleteObject received invalid id: _emscripten_glDeleteObjectARBstencilOpSeparate_emscripten_glStencilOpSeparate_emscripten_glReadPixels imageSizecompressedTexSubImage2D%_emscripten_glCompressedTexSubImage2D_SDL_UnlockAudio_emscripten_glCopyTexImage2DdoNotCaptureKeyboardkeyboardListeningElementgamepadconnected _SDL_Init _SDL_WasInit _SDL_SetGammahalt_Mix_HaltChannel_emscripten_glVertexPointer styleSheets styleSheetcssRulesrulescssText deleteRule insertRule>=bnpSubTo bnpMultiplyTo bnpSquareTocopyTonshlShiftTo dlShiftTo compareTo drShiftTorShiftTo bnpDivRemTodivRemTobnModClassicmodcConvertcRevertcReduce multiplyToreducecMulTosquareTocSqrToconvertrevertmulTosqrTo bnpInvDigitinvDigitmplmphmt2 Montgomery montConvert montRevert montReduce montSqrTo montMulTo bnpIsEvenbnpExpisEven bnModPowInt bitLength modPowIntsignum dMultiply dAddOffset bnpFromRadix bnpChunkSizebnSigNum bnpDMultiply bnpDAddOffsetintValue bnpToRadix bnIntValuebnpAddToaddToWrapper ensuredTempstwo32 4294967296two6418446744073709551616temp1temp2 ensureTemps lh2bignumbignumbigminbigmaxtemp range error locateFilememoryInitializerPrefixURLmemory initializerapplyMemoryInitializermemoryInitializerRequestwarnOa problem seems to have happened with Module.memoryInitializerRequest, status: ga problem seems to have happened with Module.memoryInitializerRequest response (expected ArrayBuffer): "could not load memory initializer Program terminated with exit(initialStackToppreloadStartTime calledMain calledRunrun runCallercallMainGcannot call main when async dependencies remain! 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 &  &   & &*   &     *   &     &  &            & -   &  & & & 2 &     2 &   & &* &   &     *   &              )  )  )  &))))))  & &   &   **    **    **  ** &*  & & & &   & & & & & &   &   &   &   &   &  &   &  *   *  &    *        &  &              )  )  )    & &     &   & & &   &   &   ,2     &   & &   & &  & &  &  &   &  &  &         & &&-        &   & & &   &   &   &  &  &   &  &  &         & &&-       &  & & & 2 &       &   & &  & & , &  &   &  &  &         & &&-      ,  &   & & &   &   &   &  &  &   &  &  &         & &&-       &  & & & 2 &     2   & &))   &  &   )  &  )  &  ) &  &  &  &    &&   &  )  )**  )*  &     &   &                              **       **       **   &  ***    *   ***    *   ) & &  & &  & & & & & & &   &* &*   &*       &   & & &      &      &**       &      &**     &     &       **    &     &   ** *  &     &   &          & &     &   & & &   & &  & &   &  &   &  &  &    &  &     &  &            & -     &   & & &   &   &   &  &  &   &  &  &    &  &     &  &    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  &    & &    &   &  &   &  &  &            &  &            & -    & & & & & &   &  &     &   &  &  && ,  & &  & ,.    &  &  &  &  & 21      ))   & &     &     &  & &   &   &   &  &  &   & & & &   & &      & & 2   & &   &&  , &  & &  & & &&-   &   &  & &                            &* &*  & &     &**   & &     *   & &     *  &  & & &  ,. &  &  )))))   &  &  & &     & & &    & &**  &   &  &  &  & &              *   *  &* &*   &  **           & &  & &  & &  & &  & & &  &  & & &   & &      & & 2   & &   & , &  & &  & & &&-   &   &      &  &  &  & &    & & & ,. 21   & &  & &   &  &   &  &  &   & &        &  &            & -     &   & & &    &   &   &  &  &   &  &  &    & &  & &        &  &            & -   &   & & & , . &       & & & & & &   &  &     &   &  &  &&  ,  & &  & ,.   & & &   & &  & &   &  &   &  &  &                                 & &&-           & -     &   & & &     &   &   &  &  &   &  &  &                               & &&-           & -   &  & & & 2 &        &   &   ,2     &   & &   & &  & &  &  &   &  &  &                                &  &            & -    &   & & &     &   &   &  &  &   &  &  &                               & &&-           & -   &  & & & 2 &       &  21       & &   &   &  &  &   &     &       &&  &  &  &  &  &                     ))))   & &     &   &  & &    & &  &  & ))      &  &             * ******* -     & & & 2 &    & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &      &    & & & &     &   &   ,2    & &    & &    &   &   & &     &   & &  &      &  &   & & & &  &    & & ,  & & & ,. & ,21 &  & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &      & 21  & & & &  &  ,.1 &  &   &   & &     &   & & & &  & &   & &    &   &   &  &  &   &  &  &   &  &     &  &            & -   &  & & & 2 &        &   &   ,2 &    &  &    & &  & &   & &     &   &  &  &   &  &  &   &  &     &  &            & -   &  & & & , &. &         ))  & &   &  &   &  * & & & &&  &*  *    & & &  &*  * *&-    & &  &** &- &*        &  & &   &  &   &     &  & &   &   &  & &   &  &   & &&  &  &  &&  ,  & &  & ,.   & & &   & &  & &   &  &   &  &  &             & &&-           & -     &   & & &      &   &   &  &  &   &  &  &           & &&-           & -   &  & & & 2 &        &   &   ,2     &   & &   & &  & &  &  &   &  &  &            &  &            & -    &   & & &      &   &   &  &  &   &  &  &           & &&-           & -   &  & & & 2 &       &  21       & & &   &  & &   &  &   &  &  & !  & !  & !  & !  & ! !"  &'   & & &   & &  & &   &  &   &  &  &    &    ,!    ,!    ,!    ,!    ,!!"  &     &  &            & -     &   & & &   &   &   &  &  &   &  &  &    &    ,!    ,!    ,!    ,!    ,!!"  &     &  &            & -   &  & & & 2 &        &   &   ,2     &   & &   & &  & &  &  &   &  &  &    &    ,!    ,!    ,!    ,!    ,!!"  &     &  &            & -    &   & & &   &   &   &  &  &   &  &  &    &    ,!    ,!    ,!    ,!    ,!!"  &     &  &            & -   &  & & & 2 &       &   & & & &  &  & & &    & &  &      &  & &   & & ,  ,  & &  ,2  & & & ,.1 &   &21  &     &  & &  &     &  & &   ,  & &  ,  & & &    ,. &   &     &  & &  & &  ,  & & &    ,. &   &    &  & &  & &  & &   ,  & & &    ,. &   & & & &)  &  & ' & &  &   & &  & & &    &    &  &  ,  & & ,  & & &  ,. 21 &    &   &    &  &  ,  & & ,  & & &   ,.  21   & &  &,. &  &)*          )  &   )  )  & &    &  &   &             &    &   & &* & ,  & &  & & &    &    &  &  ,  & & ,  & & &  ,. 21 &    &   ,  &    &  &  ,  & & ,  & & &   ,.21 & & &  ,.1 &   &  &   &             &    &   & &* &  & &  &       & &  &   & & &      & & 2                     &    & & & &   & &       &  &  &         & &                                       & &        &         & &   & &       & & &    & &   &    &   & & & 2 &  &     &                                 & &       &)))   &  &  &  &   & &   &     & && &  ,   & &  ,. &   &   &    &    &   & & & 2 &  & &  &  & &  & &  &   &    &  & &   &  & &   &    &*    &*    &*    &     *   &     *   &     *   & & & 2         &  & &      & &    & &     &     &  & & & & & & & & &   &     '   &  & &   &   &    &  && &     & &&-                                       &    &    ,2   &  &   &   &   &   &   &       && &       && &   &   &   &   &   &   &   & & & & &   &     && & & & & & &    &    &    &    &    &    & & & & & & & &  & &))   &  &  &  & &    & &    &   &   &   &  &       &    * )  & * &-   ) * -   ) * -  &  &  &  & & &  & &     & & ,.  &  &  &   & & & & &&   &          &  & &   &    & & ,  & & &   ,.  21  & , &  &   & ,      , &  & &   & &      & & 2   & &   &   & &  & & &&-   &   &      & 2     &           )  & & & & & & & & & &   &   &  &  &  &  &  &  &  &  &  &  &  & & & &  &  &    & &  &  &  &     & &  &  &        &  &      & & &   & &-   & & & & &   &  &    &               & & 2  & & & & & &)))   &  &  &  & &    &  &  &     &   &     &   &  & & & & &             )****** -  &  &  & & & 2     &   &     &   &  & & & & &  &             )****** -  &  &  & & & 2  &   &  &    & &&  ,  & &  ,.21  & &   &  &    &     & &   &  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& & &   &  &  &  &  &  &  &  &     &  &  &  &    &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &   &  &  &   &       &       &     & &  &   & &  &    & &    & &         &   &        &        &  & & 2     & &  & &  & &  & &  &    &   &    &  &    &    &  &   &    & &  &   &    & &  &   &    & &  &   &    & &  &   &    & &  &   &    & &  &   &   &    &&   &    & &&    &   &  &   &  & &  & &      &   &              &            &    &    &   & &  & &    &         &  & &  & &    &         &  & &  & &    &         &  & &  & &    &          & &   &   & &   & &   &   &    & &   &   & ,   &   & ,   &   &   ,2 &   ,.   &  & &     & '  21 &   & &    &  & &  & &    & &     &     & & & 2     & &   &   &    &   &    &    &    &  & &  & &   & &  & & ,  & &  & & ,  & &  & & , ,  &   &   &   &  & &  & & ,  & &  & & ,  & &  & & ,  & &  & & ,2 &   ,.1         21     &   &       &    &  &      &  & &  & &    &          &  & &  & &    &              &   &       &   &       &   &       &   &     &  &   &    &    & &  &   &    & &  &   &    & &  &   &    & &  &   &  &    &   &    & &  &   &    & &  &   &    & &  &   &    & &  &   &           &  & &     & &  &   &  &     &   &   & & &  &   & &  & &    &             &   &      &   &     & &  &   &    & &  &   &     & &  &   &  & & & 2  & &  &-    & & & &    & &  &   &    & &  &   &  & & & 2  & & 2  &   &   &  &   & & 2  & & & & & & & & &))))   &  &  &  &  &  &  &   &  &    & & & 2   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &         &    &   &     &         &         &  ,      &          ,  &   &   &      &       &  &            &   &   &   &   &   &   &   & &  ,        2     &       &           &   &   &   &   &    & &  & &   & &      &   ,            &  &  &  &  &  &  &  &  &  &  &  &  &  &  & & & &    & & &    & &  &     & & &  &     &     &    & & &      &    &   &   &   &  &   &   &   &   &   & &   &  &   &  &  & &  & & &               & &   &  &   &  &  & &  & & &               & &   &  &   &  &  & &  & & &               & &   &  &   &  &  & &  & & &              & &  & &  & & & & & &  & & & & & &    & & &    ,  , 2    & &  & &  & &  & &  & &  & &                         &  & &  & &  & &  & &  & &  & &         0                & &  & &  & &  & &  & &  & &                           & &  & &  & &  & &  & &  & &         0              &  &  &  &    & & &  &  &  & &  &  & &  &  ,  & &  & &  & &  & &  & &  & &   2 &    &  &  &    &    &    &    &       &   &)  & &***   &  &)  & &*** )))  ) )  )) **   &   )))  ) )  )) **   &    &     &  & &  &  & &    &  & &  ,    &)) *   &)) *   &  & &)) *  **          & 2  &    & & , .       &        &    &  &  &  &    & & &  &  &  & &  &  & &  &  ,  & &  & &  & &  & &  & &  & &   2 &    &  &    &    &    &    &      &  &)  & &*** ))  ) )  )) **   &    &   &)  & &*** ))  ) )  )) **   &     &  & &  &  & &    &  & &  ,    &)) *   &)) *   &  & &)) *  **          & 2  &    & & , . 2  & & , .   & & & & &   &  &  &  &  &  &  &  &   &   &  &          ,! ,!  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& &  & &  &      &    &           &    &  &  &  &  &  &  &  &  &  &  &  &  &  &  & & & &    & & &    & &  &     & & &   &  &  &  &  &  & & & &    & & &    & & &    & & &     & &    & &    & &  & '   &              & &  & &  & &  & &  & &  & &  &     &     &        &    &      &  &  & &  & &  & &  & &  & &  & &  &     &     &     &    &    &     &    & &  & &  & &  & &  & &  & &  &     &     &     &    &    &     ,   &    & &  & &  & &  & &  & &  & &  &     &     &     &    &    &   2   &  &   &    &   &   &  &   &   &  &   &   &  &   &   &     &        &      &  & & &   & &   &   &    & & &            &    &           &   & &  & & &     &        &     &    &             & &  & & &     &        &     &    &           & &  & & &     &        &     &    &       &  & ,      &    &    &    &  &   &   & &    &  &   &   & &    &  &   &   & &    &  &   &   &  &    &   &  &    &   &  &   &  &  ,   &   &   &   &  &   &   & &    &  &   &   & &    &  &   &   & &    &  &   &   &  &    &   &  &    &   &  &   & 2   &    &   &   &  ,   & &    & & & 2 2 &     &   &   &   &   &   &   &   &   &     &  &   &   &     &  && &   & &  &   &  & &        &     &    &     &   &   &   &  &   &   &   &    &   &   &   &   & & & 2  & & ,  &   &  &  & &  & &  &   & &  &    &     &   &   &   &  &   &   &   &   &   & &  & & & 22  & & , .  &   &2    &  &  &  &  &   &  &    &               & &   &  & & 2      & & &   &   &      &   &     &   &  &    &      &   &  &   &   &   &  &&      &   &  & &  & &&   &     *  &   &     *  &   &     *  &   &     *  &   &  & &  & 2  &      *  &   &  &        &   &  &        &   &      &   &  &      *  &   &    *  &   &  &        &   &  &      *  &   &    *  &   &  &       *  &   &    *  &   &    *  &   &  & &   &  &     ' &  &  && &   &    &  &    & ,  & & & 2      .21  & & & 2    &   &  &  & & &      &   &   &  &  & & , .   & &      &   &   & & &   &   &  &       &   &   &   &  &  &   & &  &   & &      & & 2    & &   & , &   & &  & & &&-    &         &  &   &   &    '   &   &      &    && &                 &   &      )*  &   &      )*  &   &      )*  &   &      )*  & & & ,. 21  &    &   &     )*  &    &   &     &  &    &   &     &  &   &     &  &    &   &     )*  &   &     )*  &    &   &     &  &    &   &     )*  &   &     )*  &     &   &     )*  &   &     )*  &   &     )*  & &   &    ' &  &  && &    &   &   & &    &  &  , &         &              )  &              )  )  )  )  )  )  )  )  &               & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &         & & & 2  &  &   &  &     & &  ,         &              )  &              )  )  )  )  )  )  )  )  &               & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &        &   &   & & ,.1 &  &  &  & 21 & &      & & & &  &   &      & & & 2   & &)   &   &  &  &  &  &   &  &    & & &&   && & && &        & & &  &             &   &  &  & &   &    & &    &   & & & 2     &    &    &      &      & &  &     &    &  &   &'   &    & 2  & & & 2  &   & & &   &   &    &  &    &'   &   &  &  &&      &   &  & &  & &&   &  & &  &  &  &   *      &                  *  &   &, &  &  &  &   &             &&      &   &  & &   & &&   &,  &  &  &   &                &   &,,2 & 2 &  & & & 2 &        & & &&   &  & & & && &   & &      &   &      &        &   &  &    &  &&     &   & &     &   &  &   &  & & & 2 & &  &   &    &   &  &                          &    & &-   & & &   &  & &  & 2   &          & &   &  & &  &       &  &  & &      &   &    &   &   &  &    & &  &  &  & & & 2 &  &   &           &    &    & &  & &)))   &   &  &  &  &  &  &&  & &  & & &&   , 2    &&  & &  & & &&   , 2   &    &          &  &   &       &      & &  & &       &      & & &       &      & &   &    &&       &      & &   &    & &       &      &  &    & & &  &   &    &    &       &  &                              &        &  &        & -    &   &   &      &   & &   & &  &,.   & &    &   &  &   &   &    '   &   &      &    && &   & &  &   &   &   &    '   &   &      &    &&  &           &   &   &  &  &  &         &   &   &   )*    **  &     &               & & & & 2 &      &&   &   &   &  &    && &&        &   &   &   &  &   &   &    &    &    & & &    &'  -  &     , 2      &    &    &   &   &   &     &   &   & & & &   & &      & & 2   & & ,  & , &  & & &  && ,  &2  2 &         & & & ,.1   &   & &   & & &   & &      & & 2   & &   & , &  & & &  && ,  &2   &      &    & & ,. 21 & & &   &    & &   &  & &    &  & &  &   & &      & & 2    & & ,  & , &   & & &  && , 2     &2  &          &   &     &   &   & &   &   &  & &  ,  & &     &   &2 &    * )  &*  ,  * )  ,  * )  2 &    &   ,  &  *  *  *        &             &             &             2 & ,  & ,  &  &      &**   &  &               2  & & & &  &  ,.1  21   & &       & &  & &  &   & &    & &   &   & &     &  &  &                  & &   &   & & 2            &     &  &     &   &  & & &    &     & & &   & &      & & 2   & &   &&  , &  & &  & & &&-   &   &  &   &   &    &    &    & &        &   &   &   &   &   &    &    &  &    &  & & &  &       &  & &-   &   &   &   &  &   &   &   &   &  & &  &  &       &  &  ,  &    &    &  &  & &  &   & & &  ,. &  &  &    &)   &  & & & &  & &   & &  & &- &  &   &    &    & & &')*     &                  & &    & &   & &       &      &    &       &    &   &  & & &  & &       &   & &  &        &&  &  &  &))))))   &   &  &  &  &  &  &  &  &         &&    &    &         &  & &       & &  && &  && &  &&  ))  &  ))  &  ))  ))   &  ))   ))  &                   &   &     &  &  &   &  &    &     &  & &  & &       & & ,  & & &  ,. &  21 &     & &   & &      & & 2 & &   &  , &  & &  && , 2  &           &      &  &   &  & ,  &  ,.21 &    &  ,  &         & & & 2       &  &   &  & 2      &   &  &           & &  &        &  &  &        &  &   &  &   *   *    &-  & &  &   & &      & & 2    & &  ,  &&  , &   & & &  && , 2     & 2      &  *   *   *    &-    &-    &-      &  &       **   * ,  &  ,.  &  &   & &   21 &   &  ,       &  &   &  & 2      &  &                       &     &   & &   & &      & & 2 & &  ,  &&  , &  & &  && , 2  2  & &              *  *     *     &  *   *     &  *     &  *   *     &  *      &    &-      &  &       ** ,  &  ,.  &  &   & &      21 &   &  ,       &      & 2       &  &                  &     &   & &   & &      & & 2 & &  ,  &  , &  & &  && , 2  2   &         &  &  & & &    ,   .  & &  &   ,    & .    &   &      & & &          , .1 &  &  &  &  &  &  &  &   *    ** )     ** )  &  ,  & *   & *   &  *  **   & &                 &       & **   & &                &       & **   & &                &       &  & & & 2          2  &    &  & & &   )   *      *          &               &  &  & & & & 2    &   & &      &  &    &  &   &  &  ,  &  ,.21 &    & ,  &         & & & 2       &  &   &  & 2     &  &   &  &            &  & &       &  & &        &  &  & &  &   &     &  & &  &  &  & & &    & &        &  & &  &  &  & & &    & &        &  & &  &  & & &    & &        &  &    &  &  & & &  & 2    &  & & &  , .  21  &    &   &    &     &  &&  & &        &  & &  &  &  &   & &&&       &  &    &  & & & 2  &         &  &  &  &    &  &  & & 2  & 2     &  & 2     &  & 2       &   & &   & & &  & &  &      &&-     &      &&-     &      &&-    ,    ,2 &      &&-     &      &&-     &      &&-     &      &&-     &      &    & & & &    &    &  & & & & &   & &   & &  &  & & & & &   &  &     & &   &  &   & &  &  &   &   &            ,   &        ,    ,   &        ,   &            ,      &       ,2         & ,  &  '' ,.  &   & ,  '' ,.  &         &  '' 21           &    &  & &  ,  &  , .    & &   ,.  21  &  ''       &          ''    &   & ,      ''  ,. 21      &  ''   ,.  &   &   &   & &   &           &    &   &         &   &         & * * & & * * *)))))))))   *  *  *  *   *   *  **    & *) * **)* * *) * **)* )     & )     & &  & & &)))   &    **     **     **     &))    & & &* & &    &  & &    &  &   & & &   &'  &  &&    &   &    & &  & &  &   & & & & * * *))   &  &   &))    & & &*   &  & & &  & && -   &   &     &  & &  & &   & &  &&)* *    &)))   ))   *   *  )  ) )  )  **   *  ** -*    &   & & & &)               &  & &   &      )  )** *  &   &        ** )*   &  &    &  & &  &   & &        &**   &  &  & )  & && * &) &)*  &        &**   &  &  & )  & && * &) &)*  &        &**   &  &  & )  & && * &) &)*   & & & & & & & & &  &         **   &      **   &      **   &)   &  &  &               &  &  )  )  )                  &                   &                          &       & ' &&*     &               & & & & & & & &))   &   &     &  &  & & &  &  &           &  & &  &           &  &       ,  &            2 & &&    & &&    &     &    &      & & & & &    &    & &  &)*  ) )    ))  &)*  ) )    )) ))  &)*  &*  ))    )  ) &*      &  &      &   &  &    &       & & &   &   &  &    &             &  & & & 2  & & &   &    & &   & & &       & &    &   &  &   & & &  &   & & &  , . &   & &  & ))))   &  & *   & &       &  &  &   &  &   *  )*   )*  )  *     )*          *  &  & & & 2     & &   &   &  &  &    &  &  & &   &  &  &  &       &  &  & &   &    &   &  &  &  & &  &   & , &  & &  ,2  & ,  &   & & & & & & & &  &  & ,  & &   &  & &  & &  & &     &  & &  & &                        &  &  & & &    ,.  &     &       &       & & & ,  & .1 &           21  &  &  &   &  &           &    & &  &     & & & & & &   &   & &   &   & &   & &  &  &   &     &   & & &   & &-  &   & &    &  &    & & ,  & & & ,. & ,21  & & ' ,  ,  &&,  & &  &  & & & ,  & & & ,  & & & , &  &   & &      & & 2    & &   &  ,   & &  & & &&-    &     &       & &    &21  & & &  ,.1 &  &  &   & & & & & &  )&  &  & & & &    &  &   &  &   & &   ,  & & , &   ,  & & & &   ,   &. &      & &   & & & & * *  & &      &&    &    &  &  &  &  & & & & &  &  &  &   &       & & &   &    & & ,  & & 2 & &  & &    & &   & &  & & &    & & ,  & & & 2  & & & 2 & & &     &   & &   ,  & & , & ,  & & & & ,  &   &.21 &   ,.1 &      & &   & & & * *))   &   )*   )  * *     )*        &  & &   & &    &  &  & &&   & & & & * &))))   &  &   )*   )*     )*   &     &     &   &  &  &  &  &  &  & ))   &   & & &  & &  &  & &   &'  && ,     **     **     **     &  & &  &  & & & &  *  *   *  *  *&      2  & & & 2 &  &    &   & & & & &  & & &    &  & &    &  &   & & &   &'  &  &&    &   &  &  &      & & & &&&-   &    &  &   & & ,  & & , & ,  & & & & ,   &. &     &  &  & &  &   &  &   &           , &   &,21 &    &21  &  &  &  & &    & &            & & & & * * & &)))))   &  &  & &   &  & &   &  &  &    )*   )*   )  * *    &        *** -  , )&  & & & &     &  &   & & ,  & & , &  ,  & & & &  ,   &.  21 &   & - &  ,  & &,     , .1 &   &      & &   &     & & & & * * &)))    & &   )  **   )  **   )  *  **        & &  & & & & & *))))   &  &  & &      &&    )*   )*     )*   &     &     &  &  &  & )   &  &  &  ))  & &    , &  , & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &         )) + &   & & &  & &  &    & & ,  & & & ,. &   ,21  & &  &  & &   &'  &&   ,     **     **     **   &    &  & &   ,  &  & & & &   ,  *  *   *  *  *&   ,      21    &. &  &   & & & & & &)))))  & &    &  &  &  &  & ))   &   & & &   &' &-   & &  &&  &                **     **     **   & )  &)      &  & & & 2   &   & & &   & & & &-   & &  &&  &                **     **     **   & )  &)      &  & & & 2  & & & &  & &    &  &  &  &  &  &   &  &     ' &&-  &  &  & ,,!  & ,!  &   & & ,,!  & &   & & ,    ,!  &   & & ,,!   &   &   & & ,!" &  & -   &  &  &   & & - ,  &21  & & & 2  & & & & &   &  &    &    &  &   & &   &     &   &  **   & & & 2   & &  &  & &  & &  & &      & &                     &    &  &    & & & &-      &  &   & &  ,  & & , & ,  & & & & ,   &.21  &   ,.1 &     &  &   &  & & &  & &  &  &  & , &   &2             & & & &))   &  &  & &      &&   & & '        &  &  &   &   &  & &  & &  &  & &      &&    )*   )  * *     )*         )  )  )   & &   &  &  &  &  &   & &   &  &  & '  &  & &   & & ,    ,!  &   & & ,,!  & ,!  &   & & ,,!  &  & ,,!   &   &   & & ,!" &  & -   &  &  &   & & - ,  &21  & & & 2  &  &  &    & & '  &  &   &  &  &  & & &   & & &  & & &   &  & &   &'  &  && ,  &  & & & &  & & 2    && &    &  &  &   &   &&  & & &  & & &   &  & &   &'  & & ,  &  & & & &  & & ,2  & & &  ,.1 &   &)))   &  &   &  &    &  &  )  )  )                  &                   &         &            &       &   & ' &&*     )    &    & & '    &    &  & '    ,   &    , & ' & &  &   2  )*   )*     )*   &     &     &  *  *  )) *   & &*  &   *   &  *       **     *     *               &   &     & &)   &         &       & ' &&*     )    &))))))  & & &   &   & &    & &   &   & &   & &-  &         ' &&&&-  &,!  & ,!  & &   & & ,  ,!  &  & ,,!  &   & & ,,!   &   &   & & ,!" &   &  & &   & & , &   &!!,!! ,!!"   & &  &' ,   & &  & & & &   & & ,21 &   & & ,  &  & && ,  & &  &  & & &   & &  &   & &  & & & & ,  *  *  *  *   *   *    &  *   *   *  ,  &       &   & , & &   &    &    &   & ,  & &21  & & & 2  & &))   &   &  &  &                     & &  &    &    & &   & )&   & )&   &  )*   )  * *     )*        )))&    &  &   &  &  &              &  &   & & &))   &   &   &  &  & &  &    &    &  & & & &    & &  & & )  & & ))&   & &  &    &  &   &   & &  & &  &    &    &  &&    &  &   &  )*   )  * *     )*        )  & & ))&   & &  & &  &    &    &  & & & &    & &   & )  & & ))&   &   & & &)))   &   &  & &   & & & &    & &   &  &    &  &        &   &   & & &    & )&  &  & & & &    &  &    &  &   & &   ,  & & , &   ,  & & & &   ,   &. &      & &   &  & &  &    &    & &   & )&   &  & & & &    & &  & &    )* *   &   )* *   &   )  * * *  *)*    & )&  &  & & & &    &  &    &  &   & &   ,  & & , &   ,  & & & &   ,   &. &      & &   &   & & &)))   &   &   &  & &   &&    &  &   &  &   & &*  )*   )  * *     )*        &)) &   &  & &  &    &    &  & & & &    & &  & & )  & & ))&   & &  &    &  &   &   &   & &)))))))))   &   )*   )*   )  * *   &  &  &      &    &  &  &   ) )      &  &   & & & & &  &                   ) *** &-    &   & & &   ,   , & &    *    *    *     2  &  & &  & , . &    & & &  & & &     & &  & &     & & &      &&    &     &   &   ,   & &   &    & & ,  & & 2  & &   &    & & ,  & & & ,. & ,21 & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &     & &  21  & &  ,.1 &      & &  & & & &  &  & & & &   &   &  & & & &    &  &    &   &                      && & & &   &  & &              & &  & & & &   , & 2  & &   ,.1 &   &  & &              &     &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &  &     &        &   &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &         &  &      & & & & &   ,  &  &  &  &  & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &     &  &    &         & &    ,.     & & &   ,. &  &   & & &   &  &  & & & & &    &  &  &    & &  & &    &     & & & &  &   &  & &   &    &  & & &  & &    &   &    & &  ,  & & 2     & &   & &  & & &    & &  ,  & & & 2  & & & 2  & & &   ,.1 &   &  &    &  & &    &    &    & & ,  & &  ,. &       ,  & &   & &  & & &    & & ,  & & & 2  & & &   ,.21 &  &  ,.1 &   & & &      &&   &    &  &  &  & & &   &    & & 2 &    &  & &   &  &  & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &         &   & & &   ,  &   &. &  &   & & &)))   &  &   &  & &  & &-   &  & & &  & & & ,  &   &  & & &     & & & & , &  & &              & &  & & & & , & ,.  & &              &     )  **   )  **   )  *  **  )    &     &  & & &   &    & & 2  & & & &  &    & & & &-   &  & &              & &  & & & & , & ,.  & &              &     &21   &  & & & &))))))   &   &  &  &  *  &  *  ) *   &  &  &  &    &  &   & &  &     ) &  &  0              )*     )*         )  )  ) )&               & &  &  *  *  *    &  &       )*** - ,  & & & ,. 21    &   & && & & & & & & &  &    & & & & & & & & &  &    & & * * * *))   * )  )     )  )     * *   * **            -     *                     )  )  )   )  * )  )  ) 2    )   )  ) 2     & &))))))))))   &  &  &  &  &  &   &  & & & ' & &   &  &   &  &  & &   & & &  & & & &  &)* *  )  &  &  )*   )*     )*   &     &     &   &  &   & & &  &  &   )*   )*     **   *  *     *  ** * *)*      * *)*        ,    )  )  ) ,     &  &   2 &  &          )  )  )    &  &   &  &  && & & &  & &  &  & &   &'  &  &&   ,  &      2 &   & & &   ,  & )  & & & &-&   , & &  & &  &  & &   &'  &  &&   ,  ,  & &  ,2  &         21 &    *  *  *  *   &  *   &  *  * *)*  ** *)*  ) ) )   ) ) )  ) 2 ) )  ) 2  &  & &  &  & & & &   *  *   *  *  *&  &   &  & &     &  &  & & &   &  &  & &       &  &  &                 ) ) ******** -        )    ) )   &  ), )) , &  &  & & &   ,         ,2  &  &                ****** &-&     &        21  &  &  &  * ) )   )  )    ) )  * )  )  ) 2    )  )  ) 2      &  & ) )  &  &  &  &   *  *  * **              **        **     * *)**   &  &   ,  &   2 &    &   *   *  ) )  ) 2 ) )  ) 2 ) ) **      &      &       *  &  *  )) *   & & &*  &   *   &  *       **     *     *               & & & &)))   &     & & &  & &  &  & &   &'  &  && ,     )* *     )* *     )* *     &))    & & &*    &2   & & &   &  & &&  &  &    &' &   &  & & & &  &'     &'    &   & &    &' &  & &   &     &   &  & ,  & & , .21 & &  & 21 &   & & &)   &  &  &  & &  &  & &     &  &  & &  &     &       &   & ' &&*     )  ,!       &       & ' &&*     )  ,!!!  & & & &   & & &-   & &&     &  ,!  !"  &    21  &  &  &  & &  &   & &  &  & &     &  &  & &  &     &       &       & ' &&*     )  ,!       &   & ' &&*     )  ,!!! & & &   & & &-   & &&     &  ,!  !"       21  &  &   &  & &        &  &  & &  &      &        &       & ' &&*     )           &   & ' &&*     )      & & &   &  &   &                &     &               ,   ,  ,  & , &  & &      2 &  &  &  & )&  & &    & &   &    &   & &   &  &         & *)   &  &  &   &  & & &   &  &    & &    & & &-          & & & & & & &&&&-  &  & &  & &                             *      *  ) &   ,. &    )*   )  * *     )*         &  )*  )*   )*    &)  &  & & & & &  &  & &) &  & & & & &  & &)  &    & & & &  &  & &)  & &   & & &              & & 2 )))   &   &  &  &  &  &  & & &  & &   &     & &  &  & & & 2 &*   &  &   &   &  &   & &-   )*     )* *     )*       )   & & &  & )*  & &      &  &     &             )    )*   & &  &  ,  &   &      &   & &  & & &   & &  &  & &                  )    )*  & &  , . &   & &   &  & '    & &)    )*   &  &&  &)    )*   & & & 2 & & &    &  & &   & &  &   & & & &  &  & &)  & & & 2  & & & 2 & & &        &   & & &) &*   & &   &   &   & &  & &   &   &  , &   & &)  & & 2  & & & 2    &             && ) ) ) &     &   &    &    &    &        && &   &    & & & &   &  &  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  & &     &    &    &    &   &   &    &    &    &  &       &  & & & &)   &  &  &  &  &  &  &  & & &  &      & & 2    & &   &  &   & &  & & &&-    &     &   & &  &&    &   &  & &    &  &  &   & &   & &   &  & & & &-   & * &  &   & &      & & 2    & &   &&  , &   & &  & & &&-    &        &  &    &   &    & &     &  &  & & &    &  & &   & & &  ,. &  &   &     &     &   &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  & &              & )  &       &  & & & & & & &))))   &   & ),! ),!!  & &  &  &))  ,  & ) ,!  &  & &  & ) ,!      &  &   &   & &   &  & &  '    & )  &))   )!"21 &   )&          )  **   )  **   )  *  **    )   &   &  &    &     &     &   &  &    &     & * * *)))))))   &    ** )*    ** )*  & *)  * * )  &* &*     & )    *  * &)))*  ** **  * *  * * ) ) * ) ) *  & & 2     ))   &   &  & & &   &   & &-'  & &-      &  &   )* *   &   )* *  )  &   )  * * * *)*      & &   &    & & 2 & &  &  , & & & & & &-            &         &&  & & &  &      & & 2 & &  &  , & & & & & &-      & & && &   & & &    ,  &. &  &  &  & & ,  &   ,    & & 2     2 &    &   & & &  &  & & & & & &-                &  &  &  &''   & &   & &   & & & ,  & & &  ,. &          &  & '    &     &'     &'      & & &)   &   &  &  &  &  & &      &                   &                &  &  &  &         &,!  & & '   &  &    &          *       & & & 2  &  ,!  &  &      &  &     &     &  & & & 2   & ,!  &  &     & & &         &  ,!    ,!  & & '   &  &    &  &       & & & 2  & ,!   !"  &    ,  .21     &  & & & &                  & & &    &          & &  & & & &  &      & & 2   & &  &  &  & & & & &&-   &   &  & && &  &      &  & & & &  &      & & 2   & &  &  &  & & & & &&-   &   &  & &&  &   &   &  &  &  &        &  &  &  &  &&   &         & &  &   &  &  &          &   &          & &  &   &  &         & & &  & &    & &   &  &  &  & &  & &  & & &       & & &-   &        & & & ,   .      &      &  &      &   & 2  &    &   &   & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &         & & &    & &   &  & &   &  & &  &  &   &  & &  & &  , &  ,. 21    &   &   &  &  &          &        &                   &     &       &  &     &   &   &  & &  &&  &&  &&             &  & & & 2    &       &  &  & &      &   &   & & & &&       &    &  &  &   & &' &-      &  & &    &   & &   &        &  &    &     &        &   && &  &   &   && &  &   &   &&    &   &   &&      &     & & &   &' & &  &&   &,  &, 2 &  &  &   &   &&   &     &   &&   &      &  &   &&  &   &&   &     & &   &&   &     &   &  &  &   &  & & & & & &      &  & & &      & &    &  &  &&  , & & 2 &   &  &     & &    &  &  && , & &    ,. &   &  &  & &   &  & &   &   &   &   &  &  &       &    && &  &  &  &        & & &&      & &    &   &            &    & &   & &      & & 2  & &  &  , & & & & & &-           & &&  & & &  &      & & 2 & &  &  , & & & & & &-         & & && &   & & &    , . &  &    21 & &   & &      & & 2 & &  &  & & & & & &-           &   &     &    &   &  & &   & & &         &   &  & & & &         & &   &    & & ,  & & & ,. &  21 & &   & &      & & 2   & &   &   & &  & & &&-   &   &      &   &   &  & &   &    & & ,  & & &  ,. &   &   &        & &   &    & &   &  & & &         & & & &    ,.  &     & & & 2  &  &  &   &  & & &   &    & & ,  & & &  ,. &   &   &        & &   &    & &   &  & & &         & & & &    ,.  &     & & & 2  &  & & &  &    & & ,  & & &   ,.  21    & &   &  & &            &   &  & & &   &    &   &   &  &    &&  &   &' & & & &            &   &         &   &  & &    & & & &    &  & &  & & ,  & & &   ,. &    &  &  & & , & &  , .  &21    &     &           & &  &  & &   &   &  & & & & &              &    & &   &    & )'' &  && &           & ' ,  &.21     &  &  &'  &   &  &   & &  &   &    &   &   &   & )'' &  &                &  &   &   &  & & & & &   & &  &         & &   & &     &   & & '   &      &   & & '   &      &   & & '   &      &   &  &'  &'      &   & & '   &      &   & & '  &      &   &  & &'   &   &  &'  &'      &   & & '   &      &   & & '   &      &   &  &'  &'      &   & & '   &      &   &  & & '   &   &  & &'   &   &  & &'   &   & &'   &   &  & & '   &   &  & & '   & &   &   & &'  & &  &     &&     & &    &    &  &  &            &   &  &  &' &   &&   & &'  & &  &     &&     & &    &    &  &  &            &    &   &  &   &    &  &  &           &   &          &  &  &  &        & &  & &       0          &     &  &         &       &  &  & &   &  &  &  &  & & &   & &-   & &-   & & & &  &      &     &  & & &    &    &   &  & & &&  &  &  & & &  &     &  & &  &             &    &    &            & & & & &   &  &  & &'   &  &  &  &  &  &  &  &  &  &  &  &  &                                                    ! &       ,!!,!   ! ,!!!  &  &  &  &  &  &  &  &  &  &  &  &                                                &  !  &  &  &  &  &  &  &  &  &  &  &  &                                              ! !"  &  &  &  &  &  &  &  &  &  &  &  &                                          &   &  & & &         & &   &   &  &  &  &    &    & &             &  &                     ,       & 2 &  &             &  &  &   *&             &  &  &   &              &)   &  &  & &'    &   &   &           &   &   &           &   &   *       &               &   &   &     &     & & & & &   &&    &  &      &     &  &     &           &                 &   &  &&                  &   &  &&                  &   &        & &   &   &              &     &  &         &       &  &  &&  &           &    &    &              &  & &   & &    & & &  &  &      & -  ,  & & &  ,. &  0          &   &  &         &       & & & &  &   & & &  &   &     &  & & & 2  &  &  &&  &           &    &    &              &           &   &  &         &     &  &       &    &  &  & &  &   & &  '   & &      &  &   &'  &  &     &  &  &  &  &  & & &   & &-   & &-   & & & &  &      &     &   & & &    &       &  & & &&  &  &  &   & &   &  & &         & & &   &    &  &  &&  &           &    &    &              &   &          &   &  &         &      & &  && & & & &  &  & &  &  &  &&  &           &    &    &            &)))))))  &    **   *   *   &  *   *  ** **    ** *      &***  &   )    ,  )    ,2 &  &  & & &    & &   &    & &  & & &     &))))))))   &  &  &   &  &  &  &    &  &  &  &  & & &  & & & & &  &  &  &  & & & &  &  &  &  &  & &  &       &  &        & &  &  &  & &   &     &  &         & & &   &     &  &           &  ,  & &   &     &  &             &       &)*   &.   ' &&*  ' & &)*'  & &   &     &  &         &     &)*  & &   &     &  &         &   & &   &     &  &           & &   &     &  &         & & &       &  &          ' &&*  ' & &)*'   &*    *     *     *     )  ) )  &  & & &   &     &  &         &     & &   &     &  &              )  )  )  ) ) )  & &   &     &  &         & & &       &  &          ' &&*  ' & &)*'    *  *  * &*             & &   & &-  &   & &-   &  *  &  *                               *  &  *  &  * &                  **   &              &                    & &  &   *   *   *  ** &*  ,  &              *     *                      *     *     *    &    )   )  ) ,   ) 2    & 2        ,  &  &  ,. &     & & &  & &    &&      & &  &    &    &    & &  &    &    &    &    &    &    & &  &  & & & & & &  &     &  &    &    &    &    &    &     & & &)))))   &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &    &  &  & &   &  &  &  &  &  &  &  &  &  &  &  &  & &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &    & &  , &    &  & &   &  &    &   &  &  &* -   &   ,!  & ,!    & &    ,   ,! &&    ,  &  &  &  & &  &       &    &    & &    &  &      &  &            ,! & ,!    ,  &  &      & & &  &    ,!    &   &   & &         &  & & &         ,! &   & &         ,! &      &   ,  &         ,! &&      & ,  &  &   &  &  &      & &    &  & & &  &    & & ,  & & & ,. & ,21 & &        21 &&      & &    ,!  ,    ,! & & &  & &  & &  &   &   &              )  )  )   ,! & & &  , &   &   &     &   ,! & &     ,  & & &  ,. ,! &          ,!  , &    ,! & & & & & & & & &        ,! & ,!       ,! &    , &      &        & & 2  ,! & &   &   &&     &&   & & & &  &  &    & & &&  &   & & &&  &   &    &    & & & 2  ,! & & & & &   &    & &  &   &   &,  &          )*     )* *     )*        ) 2     ,! & & & &    ,! & & & &  &  & &  &  &  ,   &  , & &   , & &  &   &  &    &   ,! & &   &   , &   &   , ,! & & & & & & &   &  &  & & &  & &&* &) *  &) *  &) *  & &   &))      &    *   &    *   &    *  ,! &    &  &  &  &  & &-''  &   & &  & & ,  & & & ,. &   & &    & &&-  &   & &  &  & &  , & & ,.  &   &   &  & &  &      &  & & & 221 &    &  ,.,! &&      & & &  &    & & ,  & & & ,. &  ,21  &     )*     )* *     )*        )  &        ,! & &  &  &  & & &        &         &  ,! &   & &  ,  &  '     & &         ,! &  &'  &'     ,! & & & &)*     &)*     &)*     & &  & & & & & &  & '     ,!  , &       ,!  , & &)*  &)*  &)*  & & & & & &           ,! &   &&     &&   & & & &   &'     ,! & & & & & & &  & & & & & &  &      &' -       ,! & & &  &  & & & & ''  &  & & &    ,  &       ,! &  &'  &'     ,!  , & &     &     & ,!  , &   & ,!  ,     & & &  &    & & ,  & & & ,. &  ,21  &     )*     )* *     )*        )  &        ,! & & & & & &  &  &''     ,! & & &  & & &)*     &)*     &)*     & &  &   & &    , & & &  & '   & &  ,  &.,! & & & & &  & & & & & &  & '     ,! & & & & &  & & & & & &  & '     ,! & & & & &  & & & & & &  & '     ,! & & & & & & & & & & &  & & & & & &  & '     ,! &    & -    ,! & & & &    &   &   & &&-   )  )  ) &   &    )*     )*     )*  & & & &)   ,! & & & & &   &       &  &  ,!   ,!   & &  &       ,!   & &  & & &    &  &&  & & ,  & & &  ,.   &  &  && , & &  ,. 21 &   &   & &- &  &        &                  & &&-    ,! &    &  & &  &  &  &    & 2 ,!     &  &   &  & & &  &    & & ,  & & &  ,. &  21 &   & &         &&     ,! & & & & &    &  &  & & &       &  &  & & ,!!!!!!!!!  ,  &  &    & & & 2     &    &    &    &    &    &    &    &    &    &    &    &    &    & & & &  ,  ,! & & &  ,  ,! & & &  ,  ,! &  ,  ,! &  ,  ,! &  ,  ,! & &  ,  ,! & & & &  , &  ,! &  ,  ,! ,!"! &   & & &   &'      ,! & & & &  & & & & & &  &   ' &-   & & &    & &  )*     )* *     )*        & & & &)   ,! & & & & & & & & &         & & &      ,! & & & &)*     &)*     &)*     &)*     &)*     &)*     &   &     & &&-'     &   &         &   &  &         ,! &  &      & &     & &  ,! & && ,! & &  & & & &    & &  &,. &         ,! & & & & & & & &  & & & & & &  & '  & & &  & & &  & &   &       & '         ,! & & & & &  &    &   & & & 2 &  & &  & &    & &    & &         ,! ,!"21  &  &  , .1 &           &   &   &    & &   & )'' &  &  &     &  &   &&  &&  &  & &'  & &  &     &&     & &    &    &  &  &            &   & &   &   &  &  &  &  &  &  &  &     &        &  &  &  & &          &         &   &  &     &  &  & &'   & &&                   &&      &   &  &     &  &  &&   & &   &  &    , &   &  &,  ,,2    &  &  & &'            & &    & &      &   &   & & & &         &   &   & & & &         &   &   & &                &         &   &  &  &  & &  & &'  &  & &  & ,           &         &&    &   & &  &   ,    & & &     2  &    && 2    &)))   &  &     & &   &   & & &  0             &  *  *  &  ) *      &  ) *      &  ) *        *   &    *   &    *   &              )  )  ) )))   &  &  &  &                &  *  *  &  ) *      &  ) *      &  ) *        *   &    *   &    *   &              )  )  ) )  &   &   )))*   &   &   &   &    &    &             &&         &&         && &  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&    &  &  & & &   & &-   & &-   & & & &  &      &     & & &       &     &  &    &     & & &   & &-   & &-   & & & &  &      &     & & &       &       &  '     &  &  & & &   & &-   & &-   & & & &  &      &     & & &       &   ,    & ,2  & & 2  *  & &  )*  &   &  & )  &  &    &  &  & & &   & &-   & &-   & & & &  &      &     & & &       &     &  &    &     & & &   & &-   & &-   & & & &  &      &     & & &       &     &  &    &   )*  &   &    & & &   & &-   & &-   & & & &  &      &     & & &       &     &  &    &     & & &   & &-   & &-   & & & &  &      &     & & &       &       &      &  &  & & &   & &-   & &-   & & & &  &      &     & & &       &   ,    & ,2   *  & &  )*  &   &  & )  &  &    &  &  & & &   & &-   & &-   & & & &  &      &     & & &       &     &  &    &     & & &   & &-   & &-   & & & &  &      &     & & &       &       &       &  &  & & &   & &-   & & ,  & & & &  &      &     &2 & &       &       &  '     &  &  & & &   & ,  & & ,  & & & &  &      &     &2 & &       &   ,    & ,2  )*   )* ,  )* , 2   *  & &  )*  &   &  & )  &  &    &  &  & & &   & ,  & & ,  & & & &  &      &     &2 & &       &     &  &    &     & & &   & ,  & & ,  & & & &  &      &     &2 & &       &        &   &   )  )  )  &  &  &    & & & 2  )  )  )  )  )  )  )            &  &  )  )  )  )  )  )     &          )  &            )    &            )  &            )    &            )  &            )    &                  )  )  )              )  )  )    &                                  &                    &  &                                     )   )   )          &   &  & &  & &  & &  & &  &     &   &  &    &    &     &   & &   & & &    &  & & &    &  & & &    &  & & &   &   &    &   & & &     &   &    &  & & &     &   &  &  & & & &        &  &  & &  & & & & &  &      &  & &  & & & & &  &     &  & & & & &  &     &   & & &  & & & & & &))   &   & &    & &    &  & &  &   &  & &  & &         ,            ,         2 & &&   & &  & &  & &         ,            ,         2 & &&   & &  &  & &&      & & ) & &&  &   & & &&  &   &    & &  & &   & &    & &  ' &&-    & &  & *  & ))*     & *       & & & &)      & & & &   &   &  &  &  &  &  & &    &   & &  & & , & &  ,. 21 &   & &  &   & &      & & 2    & &   &&    & &  & & &&-    &            &  & & & &&  &   &      &        &    & &    &  & & &           & &              &    )*  & &   &'  & &&     )   & & &)   &  &     &    & & & &    &  &  &  &  &  &   & & & &  )  )  ) & &  &)*     &)*     &)*      & & & 2  & & & &  )  )  ) &  & &-  &)*     &)*     &)*        & &   &  &    &   & &   & & '  & &   &  & &  & &              & &  & &                             &  & &  & &   &    &    & & &   & &              &  &   &   &    ) ))& * &-   & )   & )   )   & & & 2  & & & & &)   &   & &    & &    &  &  & &  &    & &  & &              & &     *  &  & &              &  & &    &   &    & &       & & & 2  &   &    & &  &    & &    )*   &         & &))&   & )   & )   )    & &  & & &   &'   & & & & &  &    & &             &  & & & & & & & & & &)))   &   &  &  &  &  & '     &  & &   &  &  & &  &    &   & &   & & '  & &   &  & &  & &              & &  & &                             &    &  &    & &  & &   & &  &   & & '   &     &  &  & &    &   &    & &       & & & 2  &    &       &        )  & **   )  & **   )  *  & **  *)*    & &           )*     )* *     )*        )  &    & &  & &      & &  &         & &      & &   & & &  &      & &        & & & &)))   &   & &    & &    &  &  & &  &    & &  &   & &   &   &  &  & &    &   &    & &       & & & 2  &    &  & &   &'  )    )  &   )  *  &  *)******* -   &        & &  & & &   &'   & & & &  &    & &             &  & & & &   &   & &    & &    &  &  &    & &  & &  & &              &   & &  & & & '   &  &  & &        & &  &    & & &  &    & &    & &   &   & & & & &  &     & &              &  &  &    &   & &    &   &    & &       & & & 2  & &  &      &  & & & & & &   &   &  & '     &    & &    &  &  & &  &   & &   &'  & &    &   & & '    & &  & &   &  & &  & &              & &  & &                                &    & &  &  & & '   &     &  &  & &    &   &    & &       & & & 2  &    &    & &   &'   & & & & &  &    & &          &  & & &)   &  &  &     &    & &  & &   &  & & & &)*     &)*     &)*       ,               )* &&  & & & 221 & &   &    , & &  &  &    & &  ,. &   & & & &   & &  &     &  & &   &  &   & &  & & ,  & & & ,.   & & & & & &  &    & &   &  & &   &   & &  &  & & , & & ,.  &    &   &  & &  &      &  & & & 221     & & & & & & &   &  &    )*   &&                )*   &    )*   &    )*   &  &)      &  &     &  &    &   &  &    &     &     &  &    &   &  &    &      &  & & &  & & &  & && & & & &)))   &   &   & & & ))) ** )*    &* )) )*  ))) & )   )) *) )) )  *) )) *) )) *)  & &&  &  &    &     ***   ***   ) *)) &))  )  &* * &* *)   & & &   & & &      & &  &    &   & &    ))) & & &  &  & &- &  &           & & &  &    &))   &   &  &  &  &  &  &  &  &  &  &  &  &  & &  &  & &   &   &   &  & & & 2 &  &  &    &  &  &  &  &  &  &  &  &   &  & &  & &  &  & &&     & &  )))  & &  & *  & ) *     *        &  & &&     )) )))   & &  &  &'   && &  & &'   )  )  )              &*  ) ) *)**      *   ) )),  & &  &   &) &)** )              *)*      *  *)*      *     )*   & && )))  & &  & 22  &   & &  & &  &   &      &            ,  & & &  & &&  &      ,                 ,   & & &            ,               ,    &          2 & &&       & &&   & &          & &  &  & & &            ,               ,    &          2    2                )*   & &  &  ) &     )*   & &  &)) *  )  & &  & 2  & & &   &   &  &  &  &    &  &     & &    &  &  &   &  &   & &  &   & &      & & 2    & &   &&  , &   & &  & & &&-    &     &  & )  & )  & )  & )  & )  & )  &    &   &   &   &   &    & &          &      &  & &              & & & &&   & &    )*   &              & & &&  &   & &  &                             &  & & &  ,. &  &   & &))))))   &  &  &'  & & & &   & & &    &   )*   )*   )  * *   & &   &  &   & &  &   &   &  )** -'  &  *)** -  & & & *)* ,  & & & ,.  &  & &    & &   &   & &          21     & &  &  & &'     &  &  & & & & &   & & &   &&  & &    &  &  &    &   &  & &  & )*   & )*   & )*   & &  & 2  & & & & & & &   & &    &  &   & & & ,  & & &   ,. &   &  & &  & & &   &  &    &  &  &  &   &  & &  & & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &   &        & &     & &  &  ,. &  &   & & & &)))))))   )*   )*   )  * *   &  &    &  &  &  &    &  & & & &      &&     & &  & &'   &   & &  & &  & & &   &   & & & &  & &    &   & &  & &  & &  &   & & & &-   & &  &&   )*   )*   )  * *   & & &   &  &    & & ,  & & & ,. & ,21  *   *   *  )  & &   & &      & & 2   & &   &  ,  & & &  && ,  &2   &       & 21  & & & 2 &   &  & &- &   &  & -   & &  & &  & &  &  &   )&          *   & *   & *   &* )     & &  &  ,.1 &  &   & & & & & &))))   &  & &    &  & &    &  &  & & & &   & '  &   &  &  &  &  & & & &-   &   & & &     &  & &  &  & &-  & &-  & &      &&      && &   & &  & &   & &  &   & & & &-   & &  &&   )*   )*   )  * *   & & &   &  &    & & ,  & & & ,. & ,21  *   *   *  )  & &   & &      & & 2   & & ,  & ,  & & &  && ,  &2  2 &       & 21  & & & ,.1 21 &  & &  & &  & & &   &    &      )   &* &  & & & &     &   &  & &     &  &    &   &  &    &     &     &  &    &   &  &    &      &       & & &  & && & & & &)))   &   &  &   & &-   &   )))       &     &*))   & & & ))) ** )*    &* )) )*  ))) & )   )) *) )) )  *) )) *) )) *)   &  & &   &   &  & &  &'  & & &  &    & & & ))  & &  &  & & & 2  &    &   & &    ))) & & &  &  & &- &  &           & & &  &    &))   &   &  &  &  &  &  &  &  & & & &  &     )  )  &  )   &  &   &  &  &  &  &   &  & &  & &  & &   & &)))  & &  & *  & ) *     *        ))  & & )))              &*  ) ) *)**      *   & &  ) ))  & &     & & '   &                      )*   &   & & )  & &  & 2  &  &   &  &   &  & &             & &)    & *** *))*      *   & &  & & & & & &  &     &)* ))  & &  & 2 &  & & &    &  &  &  &  &  &  &  &  &  &   &  &   & & & &-   )*     )* )*     )*         )  )  )  )  )  )    )  & &  &     &  & &   &    )* ))    )*   & &  & 2 &  & & & 2  & & &   &  &    &  &    &     &    &  &   &  &     &-    &&-   &  & &  & &               & &    )*   & &  &                              & & & 2  & &))))))   &   &  &   )*   )*   )  * *      &     &     &  & &   & &  &     &  & &   &   &  & & &  &   & & &  &   &  )** -  &  * *)*              &  & & & 2 &   &   & &-   &  &  &  &   &  & &  *   & *   & *  *)       *)**** -* & & & &   & &          & &  & ,  *  *  *.21  &              & &  &  & & & & & & & &   & &  &       & &    &  &  &    &   &  & &  & )*   & )*   & )*   & &  & 2  & & & &  & &       &    &  & & &   &  &    &   &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &   &          &   & &  ,. &  &   & & & &))))))   )*   )*   )  * *   & &  &     &  & &   &  & &   &   &  & & &  &    & & )&          *   & *   & *   &   &))   &  & & & 2 &    &  &    &   & &    & & )&       &     *   & *   & *    & & & & & ) &  &))   )     & &  & 2  & & &)))))))  &   &  & &  &     &   &  & &    &  &  &  &   ))   & & &     & **     & **     & **  ** &      & & & 2 &    &  &  & &&    &  &  &   &  &  & &    &  &  *  *  *   ))   & *   & *   & *  **  & & & & & ) &  &))   )  &    & & & ,  . &    &  &  & &&    &  &   &  & &&   & & & & & & &   & &  &  & & -   &  & &  & &  &    & &  & &&   &   & &-   &   & &  & & ,  & & &  ,.  & &&  21  & &     &  &    &   &  &    &     &     &  &    &   &  &    &      &  & &   &'       & & &  & && & & & &)))   &   &  &   & &-   &  &   & & & ,  & & & ,.  &  & &   &'   & &  & &  &    & &   &*)) & &   &'   )))  &  &  & & & & &   &     &   21   & & & ))) ** )*    &* )) )*  ))) & )   )) *) )) )  *) )) *) )) *)  & &   &'    & &&-   &  ))  &  & &  & &  & 2  &  &   &   & & & '    &   & &   &   & & &' -   &     &  ))   &    & &   & &  & )* , & && , & &   &' , & && ,2 )) 21  & &  & 2  &   & &   &'   &    &   & &    ))) & & &  &  & &- &  &           & & &  &    &))   &  &  &  &   &  &  &    &  & &  & &  & &   & &  & )*  &   & & '    &  & & ,    , & &&  ,  ,    & &    &     2 &   & &  &   & & &  &    & &    & &   &'   & &   &  * &   &  & &  )  &)* )) * *)))*   & &   & &    & & ) &  &)*  ) )))   &  & &   *)   & &   &' &   & &-  &   )*  &   )* )** -  &   )  * * * *)*   & & &&   & &  )  &  & &  & &   & & &&  )  )  & & & &&    )  &   21  & &  & 2 & & '      &   & &    &   &  &  & &  & &   &  & &  & & &  &   )*  &   )* )** -  &   )  * * * *)* ,      & & &&  )  ) & &&    ) &2  & & & 2  & &))))))   )*   )*   )  * *   &    & &    &   & &   &'   & &   & & &'  &    & &   & & &  & )* , &  &  & &&  *   *   *  *)*    &     2  & & & 2  &   &   &  & &      &  &    &     & &   &'  & &   &  &  &   &  &   & &-  &  &   & &      & & 2    & &   &&  , &   & &  & & &&-    &        &  & )  & )  & )  & )  & )  & )  &        & &              &  & & & &  &                             &  & & &  ,. &  &   &, 2    & &    &  &  )  )  )  &  & & 2  &    &  &   &  &     &-   & & & '   &     &  &  &   &*  & &  &                              & & & 2  & &)))   &   &  )*   )  * *     )*   &     &     &  & &    &  &    &  & & & & '    &   & &   & & &'  &    & &   & & &  & )* , &  &  & &&    **     **     **  *)*        ,        &   &  & & - & &  &    & &                    &2  & & & 2  & &  & &   &'   &    &  &  & & & & &   & & &  &  &   &' &  &,2  &   &'   & &  &       & &   & &   &'   &  &  &    &   &    & )*   & )*   & )*   & &  & 2   &  &  &    &   &  & &  & )*   & )*   & )*   & &  & 2  &  & & '    &   &   & & &)   &  &    &   &  & &  & &   & )   &   *  & &              &  & &    &   &    & &       & & & 2    &    & &  &    & &  & 2  & & &  & &       &    &  & & &   &  &    &   &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &   &          &   & &  ,. &  &   & & & &)))))))   &   &  &  )*   )*   )  * *   &  &    &  &  &  &  &  &  &  &  &  &  &  &  &    & & & '   &  &  ,  & & &  2 &   & &      &&   & &   &'   & & &  &    & &     & &   & &  & &  & &  & &  & &  &   & & & &-   & &  &&   )*   )*   )  * *   & & &   &  &    & & ,  & & & ,. & ,21  &  &                *     *      *      *    *   *   *  & & )  & &   & &      & & 2   & & ,  &  ,  & & &  && ,  &2  2 &       & 21  & & & 2  &  & , &   &&  &                **     **     **      & & & ,. &    & &  &  & &   & &,  & &,              *     *      *      *  2 )&          &  & &   & &,  & &,              *     *      *      *  2  *   *   *    ,  & &  &   & &  & &  &    & &   &   &  & & &-   & & ' , &   & , &   &&   &   & & & ,,  & ' ,   & ,2  & & & ,.21 &    &  & &   & &,  & &,              *     *      *      *  2 )&          &  & &   & &,  & &,              *     *      *      *  2  *   *   *    ) 21  & &  &  ,.1 &  &   & & &  & &      &&    &  & &   &  &     &  & & & & ,  & & &  &    & &    & &  &    & &   &   & & - , & &   & &      & & 2   & &   &  , &  & &  & & &&-   &      &     & &    &2  & & & ,.1 &  &  &21 &   & &    & &  &  & & &   &  &   &&   & & & &))))))   &   &  &  & &   &   & & & ,  & & & ,. &  &21  &  & & & &    &  &  & &  &  & &  & &              *     *   &     *   &     *  &  &  & &  &  &  &  & &  & &  & & &  & &      &&      && &   &  & &  & &  &  &   & &  &   & & & &-   & &  &&   )*   )*   )  * *   & & &   &  &    & & ,  & & & ,. & ,21  &  &                *     *      *      *    *   *   *  & & )  & &   & &      & & 2   & & ,  & ,  & & &  && ,  &2  2 &       & 21  & & & ,.1 21 &      & ,  &    &2  )*   )*   )  * *  &   &  &  &  &  &   &  & & &   & &   & &,  & &,              *     *      *      *  2  *   *   *  )  & & '   &  &    &    & &      & &  & &              *     *      *      *   & ,  &  & & & ,.  &21  &  &   & &,  & &,              *     *   &     *   &     * 2 )   &* &  & & & &)   &   & &    &  & &    &  &  & & & &  &  & & &   &'   & &  & &  &    & &   & &     & &  &  & &              *     *   &     *   &     *  &  &  &  &  & &  & &  & & &  & &     &     & & & &))))   &  &  &  &   &   &   &&             & &   &'              &      **   &      **   &      **    )*    ,  &   &&  *     )*     )* *     )*       )               *   2  * )    &    * )   &  &)*  ) )      *  &     *   *  &     *    )   *   & & & & &))   &  &                           * )   &    )*    *  *    **    **   )   &    )*    *  * ) )    & & &  &    & &    )  & & & &))  & &  ) ) )   &    & & & 2 ) ) ) ) ) ) )         ) ) )       ) ) )   0           )*  ) ) ) ) ) &*) )*  )*   ) **   *   *  ))& ))&            )   )   )   & & & & &   &  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  & )  & )  & )  & )  & )  & )  &    & &            &      &  & &  & &              &    &       & & & * & & & &)))))))))   &   &  & * * )  &* &*    &  & &    &  & )  &* &*     &  & &  &   &   & &  & , & &&, &   & &  & , & && , &   & &  & , & && , &  & & ,    & **     & **  **     & ) *  ** **   &   )  )  )) * * ))  * * ))  * * )) * *             ***   &* )  *** &* )     &  &2  & & & 2 & &     & &)))))   &  &  &   &  &     *  &  *  &  &      ** )*            &    & &&-   &  &  &  &  &  & &       & )  )   &  *   &  *  )  )  *  &  * *)** -   & & &  & & & , &       & & - ,  & *  & )) *     & *       & &&    )  & &&  )  ) & &&    )     & 2  & & & ,  *  *.1  &  21 & &    & & &&  )  ) & &&    )  & &)))))  &  &'   & & & &   &  &  &  & &     &  & & &  &  & &  & &  & &   )   )    &  &  &     **     **     **  **           & & & , .     & &    & & & * * * &))))))  * * )  &* &*      **     **  ** )  )    & ) *  ** ** )  ))  ))  )   )) * * ))  * * ))  * * )) * *   & & & &  '    &  &  &  & & &   & &  &   & &      & & 2    & &   && , &   & &  & & &&-    &     &  & )  & )  & )  & )  & )  & )  &    & &          &  &    & &  ,. 21  &  & &          &       & &               & & & & & &   &   & & &  & &  &  &  & , &  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  & &     &    &    &    &   &   &    &    &    &  &      &  & &  &2             & & & * * * & &))))))))  * * )  &* &*      **     **  ))  )  )    ** )  )    & ) *  ** ** )  )  )    )) * * ))  * * ))  * * )) * *   & & * * * & &   & & & '      & & & && , ,  ,2    & & & &    &     21 &   & &  &  & & &  &    & &   ,  ,2 &   & &    & &   & &  &  & &&     & & & & &  '    &  &  &  & & &   &  &  &   & &      & & 2    & &   && , &   & &  & & &&-    &     &  & )  & )  & )  & )  & )  & )  &    &   &    & &  & &  & )  & )  & )             & &    &   &    & &       & & & 2  &   & )  & )  & &            &    &   &   &   &  &    & &  ,. 21  &  &   &    & &  & &  & )  & )  & )             &  & & &      &    & &       & & & 2  &   & )  & )  & &  & &               &   &      &                    & & &)))))))   &   &  & &    &  &       &  & &   & & &    & &  ,  & )*  ,  & &               & &  &  &  &     &  &  &   *   *   *   *   *   *  &  **    &  &   *    *    *  **        & & & , . & ,      &2  & & & 2  &      & & &   & &      & & 2 & &   &  , & & &  & & &-           &  & & & ,  .    &2  & & &   , .1 &  & & & &  )  ) & &-   &   & & &  &  &                & &*  & & , & &  ,. 21 &    &     & & & &)))))))   &  & & '   &  &  , & &      &&      &   & & , & ,.  & 21 &   )*   )*   )  * *   &  &  &  &  &  &  &  &  &   & &  &   &     & & &  &    & &    & &,  & &, & & &   & &  & &   & &,  & &,              *     *      *      *  2   *    *    *    & &  & &   & &,  & &,              *     *      *      *  2   *    *    *  , 2  & & & 2 & & &   &  & &  & &   & &,  & &,              *     *      *      *  2 &,  & & ,.  &  &   &21  &  &    & )))&    &  &    &&   & & & & &   &  &   & & &  &    & &   )  )  ) ,  )  )  ) ,  )  )  ) 2 ) )  )  )  ) ) )   )  & & & &))))))))   & &      &    &  &      ))    & &  & &   & &  ,  & *  & *  & * )   & &  & &   & *   & *   & *  **    & & & 2   ,  ,  & &  & & & &      2  & & & , . &    & & & & & &  &   &!!!!!!!,!,!"  &    & & &21 &    & &'    &  & & & & &   & &   & & & &  &   & &       &    & & &  & &    & &   &    &      , ,  &,    2 &     &  &   &!!!! & &   &' ,!! &  & & ' ,!!!!!! & &   &' ,! !" &   & -    &  & & 2 ))   &  &    &  &   &  &   & &   &))   &   &  )   &      )  &      &    ,,  &,   ,2 &      &              & &)    *** *))*      *   &  & * ))21  & & & 2  & & &    &  &  &   & & &   & &   & &      & &  & &))   &   & & & &   &   &  &            & & & &   )*     )* *     )*          & & & & & &)    & & & &  & '    & & &!  &  &  & &   & &   & &      & ,!  &  &  & &   & &   & &  ,!  &  &,!  &  &  & &   & & & &     ,!   &   &  &  & &   & &   & &  ,!"  &  &  &   & &  21 & &   &     &  &         &   & & & &   &  & &  & & & &   &   &  & & & & &  &   &  &   &    &  &             &   &  &         &       &    &  &  &&  &            &    &    &            & & &   &  & &  & & &  &   &  &   &    &  &             &   &  &         &       &   &  &  &&  &            &    &    &            & &))   &   & &   & &         &  & & & &  , &   & &  , &  . &         &   &             &   &  &*     &  )   &  *  &  * **    *   *   )  )  & )    &  &   &   &)  & &)))   &   &  & &   &  & &   &  &   & &  & &    &       &   &   &)*    &)*   &)*   &    )  )  )               &  & & & &         &  &   &  & &  & &    &          &- &     &   &        & '   &  &   & &  ,!  &   & &  ,!  & &   & &     ,!  &  &  ,!  & ,!   &   &   & &  !" & &   &  & &   & &           &   &   &))))))   &   )*   )*   )  * *  & &   &   &  &    &     ,   *    *    *  ** ))   &2  & & & 2  & &   &  &  &    &    &      & &   & & &      &   & &     &   & &    & &   &      ' ,  &   & & &2  & & & 2    &  & & '    &   & &   &     &  &      &      ,  2  & & & 2     &  &    & & '   &     , '      &    &  & &   &   2  & & & 2  & &  & & &   &   &      &       )  )  )  )  )  )           & &      & & ,  &     & & 2 .1   & &   &    &  &    & -       &               & & & 2  & & &  & &   &   &   &  &    & -  & &   & & &- & &       & -     & &  & & & 2  &   &  &      & &&-  & &   & & &- & &    )&,  &           &2  & & & 2  & &   &  &    & &   &   &  &    & -  & &   & &- & &       & -     & &  & & & 2 ))))))   &   &  &  &  & &  &   )*   )*   )  * *  & &    &   &  &      & &&-   &  & & &   & &  & &   &   &   , &     &  &    & -  &    & &- & &        ,    & &2  & & & , & .21  &       ,  &  &    ,     2  &           &        &  ,    , &  , &  & & ,    , &     ,, &    *    *    *  **   &    &**   &, & &  & & ,,  &' ,  ,2   )&,  &       &                     &  &     &  ,          & ,  &,   &  &  ,   *    *    *  ** &    &** ,  ,   *    *    *  **   &    &** , & &   &  ,          &   &   ,   &     &        &   &  & -          &  &     &  ,          & ,  &,,21  & & & & 2  & & &   &    & &       , &   ,   , &       ,,2  &   &&!!!!  &    &  &    & ,!  &,!  & ,!  & ,! !" &   &    &   &   &    &    & *   & &)))))))   &  &  &   &!!!!!!!  &*)  ) !          &* !   &)*    &)*   &)*  **          ) ! & &   &  &    &  &  &   & ,  & & &  ,. &  0              *   *   *  &   *   *  &   *  **           &  *   *   *  ** ! !" & & & &  &  '    &    &  & & &   &  &   &  &     & -       &                   )*   )*   )*   &  &  &  &  &                                   &)  &   ) ) *      && &     &    &     &    ))))  & &    &  & & & & &&*  & )*  )  & &   &)*    )) * * ))  * * ))  * * )) * *   &   &  &  &   &   &  &  & &             & &  & &   & &  & & &   , &   & &  &  &    2    & &  & &    &  & &  & & &  &   &    & &  &    &   & &   &   & &    & &  &, 2   & & &       &     &   &  & &  & &-  & &  &  &  &  &   & & &   & &  & ,  & & & ,. &       21 &         &           & &         &       &  & & '          &  &  &  & &  & )''   &  &        &      &  & &    &      & & & &   & &  ,  &    2   &    &   &  &  &  & & & &    &      & & & &      & &     &      &  &  & & & & & &   &   &  & &   & &  & &   & &  & & &  &   &    & &  & , 2 &   &)  & &  & &    & & & & &  &   &,  2    &       *  )  *                 & &&  )  )  )   & &   &  &    & &  & &   & &  & & &  &   &    & &  & , 2 &   &  &    &  &  &   &    & &  &  &   & &  & & &  &   &    & &  & , 2 &   &   & * * * * * *              &    & & &)))   &              &    *  &    *               ) &  & & &**  )    *   *       **   &    *   &    *     **     )  )   )    )       **   &  &   &   & & &  &   &  &  &   &  & -   & &  & &  &    &  &  & & & &   &  &    ,    &, &  & & , ,   , &  &  , 2  & & & 2   & & '    &'      &       &   & &       &  & &  & &  & &    & & &  &   & , &  & &       &   &  &  & & & &'  & ,  &   &, & &  & & &   &     &  &  & &  &    & &  & & & &&&-       &  &  & & ' 2 & &       &  &  &     & &  &   &  &  &,   2 & &  & &   &  & & '      &  & & '     &  &   &+    & &  & & &         & & ,.  &  & &   -    &  & &    & &   & &   &   & &- &  &    & & & & &   &      &   & & &     &  & && &  &  & & &      &  &    &  & &  &  & &   & &  & & &  &   &    & &  & , 2 &  & & & & & &  & & &   &    & &     & &   & &   & & &''   & &-    &         &  & ' & &   &  & &   &   &  &  &  &  &     &  & &  & &   & &  & & &  &   &    & &  & , 2 &  & &  & &   & &   &  & & &  &    & & &  && ,  & & & 2  & ,21 & & &      &   &   &           & & &21 & &&   & &   &  & & &  &    & & &  && ,  & & & 2  & ,21 & & &      &   &   &           & & &21 & &&    &   & &   & &         , & &   &'  &  &&    & & &      , & &      ,        , & &      ,        ,        2        & &   &    &    &              )  )  )   & &          & & &   &  & &       &              )  )  )   &  &   &  &     &                                        &    &   ) &  &  &  & & &   &   & &  &  & & &  &    & & &  && ,  & & & 2  &    &21 & & &      &   &   &            & & &  & &   &  &   &  &    &  &  &        &  &'   &'  &  &  &  &'   &           ,        , &  &  &            2 &  &  &  & &  & &            & &'    &   &   & &   & &   & &   &  &  & & &  & &   & &   & &  &  '     & &  & &   & & & &  & &   & &      & & 2   & &   & , &  & &  & & &&-   &      &     &   & & ,. 21 &   &   & &      &     & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        &   &  & & &   &   & & & &   & &  &  , &      2  &   &     & &-  & &  &    & & &  &&  ,  & & &  ,. 21 &  &  &  & & &      &   &   &           & & &         &  &    & &   &   &  & &   &  & & &       & & &-   &        & & & ,   .  &     & & & 2 &   &    &      &  & &   &   &  &  & & & 2   &     & &   & & &   & &      & & 2   & &   &  &  & &  & & &&-   & &   &           &   &  &      & &  &    &  &                       & & & 2       &   &    &  &    &&      &  & '         &  &       & ''      &    & & & &     &   &  &      & &  & )''  &    &      & & & &   ,  & &  ,  &    2  &  &&     & & & &    &   & & &  & & & & & &   &  &   &  &  & &   & & & & &   & &  & &  &  &      &   & &  &  &      & &   &  & & &   &  &            &            &  & & &   & &   )*  &  )*   & & & & &  & & &  &   &  &  & & & &  &   &  &  & & &    & &   &  & &   &  & &   &        &,      2  &  &  & )''     &  &  &  &              &   &  & '   &'     &  &  &   &'    & & * * *))))  &  & &&)*  & &&)*  * * * * )  * *  * * )  * *  * * * * * *   & &)  & &   &  &     ))  * &  & &   & &  & & &  &   &    & &  & , 2 &   &  &     ))  * & &  &   & &  && &  *& & &  &  &   &   &  & &  && & &  & &  *&  &   &        &  & & &  & &  && &  *&  &             & &  &   & &  && &  *& & &  &  &   &   &  & &  && & &  & &  *&  &   &        &  & & &  & &  && &  *&  &             & &   & &    &   & &  && &  *& & &  &  &         & & 2  &)   )))  & &  &  &'   &   &))) ) ) &  &  &'   &   &) ) )  &  &  &'   &  &) ) &  &  &'   &   &))) ) ) &  &  &'   &  )   &) ) &  &  &'   &  &) ) ) & ' &  &      &     & ' &  &    &  & & ' &  &    &  & & ' &  &    &  & & ' &  &    &  & & ' &  &    &  & & ' &  &    &  &  &)))*    & &  &  &  &'   &  )   & ))  & & 2   &   &   )))  &  &   &       &   &                &  )) )) )) )) )) )) )) ))   &    &  &)))  & &)))  & &  )) )) )) )) )) )) )) ))  &     & &)   &   &  &  &)*  * *) & &      ***   ***      ***   ***  & &  & &  & &   & &  & & &    , &   & &  &   &  & & &  &    & & &  && ,  & & & 2  &  ,21 & & &      &   &   &           & & &       21    ***   ***  & &   & & &   &  &     &  & & &  &    & & &  &&  ,  & & & 2  &  21 &  & & &      &   &   &           & & &  &  &   & &  &  & &   & &  & & &  &   &    & &  & , 2 &    &        &      &       & &  &    &  &   &  & &  &  &    & & & &  & &  &  & &   & &  & & &  &   &    & &  & , 2 &    &       &   & & &  & &    &   & &-   & & & &-   & &  &  &&   )  )    & &  & &   &'  ,  & &   )  )  ) , &   )  )  )   2  &   &    )*     )*     )*   &   & & & & & &  '    &  &     &      & & &  &      &*  &      & & &   &     &     & & & & & & & & &   &  &    & &-    & &-  &     &    &,!     &    &,! &  & & &   & &-   ' &-    &        &    &,!     &    &,! &  &&      &    &,!     &    &,! &    & &   & '    &   ,   &&  2        &    &,! &   &       & &  & ,   &     & ,   &!!"21   & &  &   &    &,!   &   & ,   &  &    &       &    &,!     &    &,!!!!  &   &    &,!     &    &,!!"21   & & &  &       && & &    & &    ) ) ) &  &    & & & 2 ) ) ) ) ) ) )           ) ) )       ) ) ) &   &   &   &   &   &   &    &    &    &    &    &        && &   &    &    &    &    &   &   &    & &   & '  &                 &               & &  &'        & ' &  &      & &  &  &&     & ' &  & & & 2  &  &   & &&         &    &                       &  &''  '  ,          2       & & & & &   &  &      &    &   &  & & &     &             & &   &  & & &     & &      &  & &  &  &  & & & 2   &        & & &  &  & & & 2     &  & &  &  &  & & & 2                & ' &   & & & & ,  &. &  & ' & & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &            & &   &   &    &  & & & 2        &  &'  &  &    & &  , &   &  &  &  ,  &  &  & & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &                    &   &  &  & & &  ,. &  &  &  &, 2   &'   & &     & &     21 &  & &     &   & &  & &   & &      & & 2   & &   &  , &  & &  & & &&-   &      &     & &   &  & & &  ,. &  &   &   &           &        &   &  &  &  & & &-'  & & &-     & &      & &     & & & & & &        &  &   &   &  &    &  & &        & & & 2    )   &  & &    &  &  &  &  &  &   &  &  & &  & &          &                     &   & & &               &   & &  &)*  ) )  )))    & )   & & &   &   &  &  & & & 2  &   &  & & & & &    &   &   &  &  &  &   & & & & & & & &  & & & &         & &  &          &  &          &   & & &         &  & &          &      &  &   & &                &       & & &                &            && &   &   &        && &     & & & & & & &))   &          &            '             & &)*   &  *             )    )      &  &    &  &*                 &      & &)*      &                             )  )      &   & &&    & &))))))   &  &   &  &  &  &       &  *  &  * )   )  2    )   )  2    &)*                    **   &    **   &    **  **  &  &  *)*      &  &   &  &   & & & && &   ,  &  & &   & & ' && , & ' & &*     *      &    & & ' & &   2  &  *  *   * *   * *)*   &!!  &  & &      &    & & ' & &   ,!  &  & &       &     &  & & & &   ,!     &  & &  &      &  & & & & ' & &   ,  &   & & &    )  &   & & &   &    & & &&  & &   &               & & &      & & & & & &  && & & ' & &   ,   & & &      & & & & & &  && & &   ,! &   * )   )  2    )   )  2    ** ) ) )  ) )  ) ) )   & , *  *    **  *)* , &     &  & & & & ' & &    &  &   &,!!"21  &  &  &       ) ***-       ) ***-   &    &    **     **     **     )*   )*   )  * *  & &   &   & &   &   *    *    *  *)*   &  & & & 2 &     & & &   &   &  &  &                   & &   &  & &     & &  & & & &   & &      &  &  &    &   &   & & &      & & & & & &  && & & ' & &      & & &   &         & & &   & & &   &   & & &    &'         & & &   &           &   &  &     &      &   & &-   &   &   &   &   & & 2 & &'   & &   &   &  &   &  ,  & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &                    &  &  & & &  ,. &  &  &   & &)  &  &  & &     &   &  &   &  & &   &     *   &    *   &    * ,  )  )  ) &,2  & & & 2   &   &  &    & &-  & & &   &  *)   & &*   *      *   &     *   &    * ,  & &*   *   )  )   ,2  & & & 2  & &   &  &  & &     &             &)))   &  &   & & &   &   &  &  &  &  &  &  &   &  &  &    &   &  )  )**   ) * ,  &  - ,  &  &  &  &    &             &)*     *     *     *  &   &,    *     *     *  & ,.  )  )  ),  &  & & & &         )  )  )           ) ,  &  &       ) ***-       ) ***-   & ,  &    **     **     **  , &   21  & & & 2 ))   &  &    &  &  &   &  &  )  )  *    )      & &*** &-    *) )  & & & 2  &   &    &   &        & & & & &)))   &  &   &  & &&*   *    *   &       **   &    *   &    *  &    &  &   &  &   &  &  &    &   &    &               && &     & &))   )  )  )  &  &  &    & & & 2  )  )  )  )  )  )  )  &      &        &  &  )  )  )  )  )  )     &          )  &            )    &            )  &            )    &            )  &            )    &                  )  )  )              )  )  )    &                       &      &      &      &         &     &          &  &   &         &       &   &     &    &     &              &*      &  )  ***      )  )  ),   )   &  **      *   &    *   &    * ,  )  )   &* ,2  &&     &     &         &  &     &  & &   &   &  & &   &   & &'' &- ,  &2  & & & 2 & &   &   & & &  &  &   &   & &'' &- ,  &2  & & & 2  &   & &  & &   & &  &  &  &   &  & &&  & &  &  & &   &  &  &               & &    & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &            &    &   &   &    & & 2   & &   &   &  & & &  & &   &  & & &       & & &-   &        & & & ,   .           & & & & 2  & & & & & & & & & & & & &  & &      &&  & &  & & &&   , 2   &    &&  & &  & & &&   , 2   &    &&  & &  & & &&   , 2   &    &&  & &  & & &&   , 2   &    &&  & &  & & &&   , 2   &    &&  & &  & & &&   , 2   &    &&  & &  & & &&   , 2   &    &&  & &  & & &&   , 2   &    &&  & &  & & &&   , 2   &    &&  & &  & & &&   , 2   &    &&  & &  & & &&   , 2   &       & &      & &       &&  & &  & & &&      & &      & &       &  & & && &  & & &  &  & &     & & &-''    & &  ''    &   & &  &  &      & &  , & & & & -  & &   &'    & &   & &  &   & &    & &    & &    & &    & &   & & & ''  ,. &   & & & * &   &   &  & &   &  &      & & &    &  & &    & &   & &-   & &                     & &   &'  & &     , &  &    & &     ,  & & &     ,. & &  &    & & ,  & & &   ,.  21     21         &               &               &               &                    & &  &  & &  &  &          &                     &  &   &   &   &    &   &   &   &   & &  & ,  & &   &   &   &   &    &   &   &   &   &2   )   )   )   &   &   &    &   &     &  & &  & &  & &  &   &  &   &   &  &      &    &))   &   &  &  &  &   & &   &'  , 2  &  & &   &  &  &   & & & &      &&-  & & &   & &   &   &'    &    &   &'   &  &&    &  &  & &     & & &-''  &  ''   & &  )   & & &&  &    & &        &  ' &-   & &  &&    &   )*     )* *     )*         &    )  & & & 2 &   &   & & &   &   &'    &    &   &'  & &  &&    & & & &   & & &  &  & & & & &**  ) )  )))  ) & & &  &  & &     & & &-''  &  ''   & &    & & & 2  & &  & & & ''    & &   & &   &  & & '   &     )       &     &      &)))))))))  &  &    &  * )  &* * * ) * ) *    &   ) ) *  ,  & &*,  *  * **  &  *    &* ) * )* *   )2 ) ) **  *    *    *       **     **     **  **  * ) )         & & * &)))   &   &  &  &  &  &  &    &  *)   )**   ***   &  ***) * *    **   *         ** *      *      *  &              & & &  &  & &     & & &-''  &  ''   & &     &  &  &   & & &         & & '  &   &   & &   &  & & &       &  &&      && '   & &  &&   &  & &- & ' &-   & & &  &&    &                     &  )   )   )                 & &  &   )*   * ) )      ** )  )*   )               &  &   & &   &   & &    & &  & & &  & &    )*   )   & &  &  )   )   )                  & & & & &)))))))   &  &   &  )*                *  &  *  &  * & & &     **     **     **  ** )  )  )  * * * &  )  )  )  )*  )*  )*             &  *  *   &  *  *      &  *      &  *         &   *   * )   *)   )*    *      &  *      &  *      *   *   *              &   &  &  &  & & & ''    & &   & &   &    & & '  & & ' &   &   & &   &     &  &  &          &     &  &  &                    & & 2   &     & &'    )      &&     && &   &   &   &   &       && &   &   &   &   &   &   &   &   &   )))*   )))*   ) ))*   ) ) ) ) ) ) &  &    & & & 2 ) ) ) ) ) ) )     ) ) ) ) ) )       )      )       )      )       )      )          ) ) )       ) ) )                && &    &   &     &  & &   &  &  &   &  &   & &  &   & &      & & 2    & &   & , &   & &  & & &&-    &     &         &  & & &   ,.    &21  &    &  & &    &  & &  &   & & &  ,    &  ,. &   &  & &  &    &  &  &    &    &  &  &   &    &  &  &   &  & &   &  &    &  & &  ,  & & &  ,.  & &  &    & ,   &    &  &   & 21 &   & &  &    &      &  & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &   &          &   & & &  ,. &  &   &  &   &   &   &       &     & &   &  &  &   & & ,    &  ,.21 &   &  &  &   &   & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &  &        &       &     & & &  ,. &  &    &     & &   &   & & & & & &   &        &,    &,2  &     &     & & &&   &  &    &  &    &  & & &   &'  & & &    &    &  & & & &    &     &   &))    & &   & && &  &  &   ,  &   &,2 & &   &     &   &  &     &     &     &     &   & &  &   &    &  & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &        , & &   &'   &  &   &   &    &   &  &   &  &  &  & &  &   & &      & & 2    & & ,  &  , &   & & &  && ,   &2   2  &           & & & 2   &   &  & & &  & &   &   & &  &    &   &    &  &   &  &  &  & &  &   & &      & & 2    & & ,  &  , &   & & &  && ,   &2   2  &           & & & 2  , & & &  &  ,       & &   & &      & & 2   & &   &  , &  & & &  && ,  &2   &         & &   &      & &  &    &  &  &    &&   ,    2  &  &    &  &    &  ,     &     2  & & &  , .1 &  &  , &   &  &    &  & & & 2  &  &  &  &  &  2 &   & & &  &   & &  &     &    &   &  & & & & &   & &- '  & & &      &     &     &    &  & & &  & &   &     &     &   )  &     &   &  &  &  &    &   & & & &  & & & -   &     &     &  & & & & &   & &-   & & &'   &,  & 2 &    &  &     && & & &  & & & -  &     & &  & 2  &    &  & & &  & &   &     &  & &      &        &  &    & &  &    &   &     &   )  &   &  &      &   &   &  & &  & 2  &    &  &  &  &     &   )  &   &  &    &   &  &  &   &      &  & &  & 2  &    &  &     &   &  &   )  &    &   &  & & &  &  &   &  ,  &   & 2 &     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&  ,  &  , .    & &   ,.  21  &  ''        &  &&  &      ''    &    &&  ,      '' ,. 21     &  ''   ,.  & &   &  & & & & &   &  &&    & & & &   &  &     & &   &  &   & &  &  &   &   &   &           &           &        ,   &   &           &        ,   &        ,   &   &           &        ,   &   &           &           &        ,   &           &  &   &               ,2   &            & ,  &  '' ,.  &   & ,  '' ,.   &  &   &                 &  '' 21   &           &           &    &  & &  ,  &  , .    & &   ,.  21  &  ''       &   &           &          ''    &   &  ,   &          '' ,. 21   &          &  ''   ,.  & & & & &   &  &      &    &   &  & & & & & &   &  &      &    &   &  & & &   & &   & &      &   &  & & & & &   &  & & & & & &  &      & & & &     & &   &  &   & &  &  &    &  &&    &  &&  &        ,    &  &&  &    ,  &,    &  &&  &    ,    &  &&  &        ,  &  &       ,2          & & ,  &  '' ,.  &    && ,  '' ,.  &         &  '' 21          &    &  & &  ,  &  , .    & &   ,.  21  &  ''        &  &&  &      ''    &    &&  ,      '' ,. 21     &  ''   ,.  &    & & &   &    &)   &     &     &     &   &   &  &     &   &&   &   &  &   & &    &&, &    &, &    &, &    &,,2     21  & &  & 2   & &  &     &                             &  &    & & & 2   & &      &  &   &          &  & & 2 '     &    &  & & &  & '   & & & & &  &   ' &-    &  & &   &         &      &  & &  & &  & '  & &    & & &   &  & &   &'  & & & & &    &  & & & &     & &  & &    & &   & & & &  &   &,   & &2    & &  & &  &   & '    & &  &  &  ,   &!  & &   & &    & ,!  &   & &  ,   &!  &   & &  ,   &!  & ,!   &   &   & &  ,   &!" &   ,  & &   & &    &  21  &  &  & & '  & &  &     &  &  &  &  & & & 2 & &    & ,!! & ' & &,!  &,! & ' & &,!!!!!!  ,! !" &  &  &             & &  & &  & '    &   & & &  &  &  & &   & & & &    ,!!  &  &  & &   & &   & &      &    &!  &  &,!  &  &  & &   & &   & &    &!   &   &  &  & &   & &   & &    &!"  &  &  &   & &    &)))   &  &  &                   & &       &   &    &  & &  & &  & &  *   * , & & , & )      &  & &   & )    & &)* *  &      & & &  , . , & &  &    & ) & ) ,     &  & &  &  &      & & 2    & &   & , &   & &  & & &&-      &        )       & ) 2  & & & ,.1 21  & &   &    &  & &            &             &  & & & 2  &  & &     &  & &            &             &  & & & 2       &     & &))   &     &  )  &    &    )   & &  &    & & &  &  &   & &-   &  & &  &  & &         & && ,  & & ,.  & &     & &)*  **   & &    & 21  & & & 2 & &  &    &   &  & & &  & &    &  &    **    &  &   &  &  *  *     &  &  &  &    &  &   &  &)   &   &  &  &  & &    &   &   & &  & & &   & &      & & 2   & &   &&  &  & &  & & &&-   &         & &    && && &   &  &   &  ,    '' 221  & &    & & '   & &  &  &* )  )           &                                & &  &   & &     &   &  &   & &  &    & & &    &       &    &     &   & & &   &      &   & & &  &  &   &  & &   & & & 2 & & &  &   & & &  & &&  & & & 2     & & &   &  &             &   & &  &   & &  &   & &  &       &   & 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&   &           &   &  &         &     &  &  &  &  &&  &             &    &    &              &   &  &  &  &  &  &  &  &  & &           &             &   & &   & &          &   ,  & & ,         &   ,        2  &                 &           & &  &   &     &   &            &    &  &  & &   & & &   & &  , &  &   &  , &  &   &  ,   && , &  &    &  && &  &  ,   &    &  &  ,  &   &  , &. &    &  &    &      &  & & '      & & & & &   &   &  &            &&  & &&    &     &     &    &   & &    &  &  &   & & &  &     &  &  &   &  &  &   & &  &  &  &  ,  2  & & & , .   & 2  & & & &   &   &  &  &  &  & &      &  &   &  &            &&  & &&    &   &   &  &   &  &    & &   & &   &  &     & & &    & &&-    , & , ,  & & , ,2  & & & ,.1 &  21    ,    &   & & &  &   &  & & & 2  &  &  &   &      &      &   &  &    2        &  & & &  &    & & &  &&  ,  & & & 2  &  21 &  & & &      &   &   &         & & &                &  & & &  &    & & &  &&  ,  & & & 2  &  21 &  & & &      &   &   &         & & &     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& &         &      &      &    &  & &&&&&-   &  &  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&    &     &    & & &         &      &      &    &  & &&&&&-   &  &  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&    &      &  &    &      & &   &   &  &    & &   &   &  & & ,  &  & &  &    &  ,    &   ,2   & &   &   &  & & ,  &  & & &  &    &  ,    &   ,2  & & & 2  &   & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &          &     &     &     & &  &    & & &    & & & &  '    & &  ' & &   & & &   &  &    &  &   &   &    &  &  &  &  &  &   &   &   &           &   &  &         &       &  &  &&  &            &  &    &    &                 &  & &'   &   &    &  & &   & & '   &  &  &    '   &'  &   & & &  & &   & &      & & 2   & &   && , &  & &  & & &&-   &   &  & &          &  &   & & 2 &  & &   &  &   &  &  )''  & &  & '   & & & , &   & &  &     &  &  &  &  & & & 2 & &    &!!!!!  ,! & ' & &,! ,!  &,!! & ' & &,! !" &  &  &  ,2  & 21  & & & ,.1 21   & &   &   &  & &  & & '   &        & &  &    & &   & &   &  & 2      & '   &        &&   &  & &  &    &  &   &  &  &   & & & 2 &  & )''   &  &   &'   &  & '    &   &'  ,  &'  , , 2  & &  & & & & &   & & &           &  &   &   &    &  &       &      &    )  &  &                  &    &      &    &  &  &    & & & 2    )   )   )     &         &  &   &  &     &   &   &     & & 2                      &  & )''  &   &   &  &      &  &  &  &  &  &  &                               &     & & & & 2  &  &    &  &,  &  &, & &  ,.   21 & &                  & &  & & '  &  &   &    &     &   &  & &       &   &  &  &  &     &   &  &  &     & &    & &  &&   &  & & &-  ,  & & &  ,.      21 &   &  &   & &   & &      & & 2 & &   &&  , & & &  & & &-      & &     &    &  &    &  &    &     & & &    ,  . &  &    &  &    & & &&-  & & & &   &    & &  & & & 2      &  & & &&   &  &    & &  & &         &  &  &  &             &  &  &,  &     &2     & &   &   &  & &  & & '   & &      & '   & &                 &             &   & & &   &   &  &  &  & &   & & & &  &   &,  &2    &  &  &    &  &  & )''    & & &&    &     &    &    & &       &  & & &  &    & & &  &&  ,  & & & 2  &  21 &  & & &      &   &   &         & & &  & '   & &                    &   &   &   &  & &  &      & & & &  , &  , , 2  & & '   & &                    &  &             &  &  & & & & &))))   &   &  & && &  &  & & &   &     &  &  &    & &   & &   &'  &  && ,  &    & 2  &  &                    & & &    &  & &   & &   &  &   &&   &  & &  &  & &  & &    *  * ) )  )* ,  * ** )  )       &    &  &                      &  &  & &   & &   &  &   &&   &  & &  &  & &  & &  2  &    &    &  & & &  & &  &  &&   &    &  &   &   &  &  &  &    &     & &   &'  &  && ,  &    &   ,2  &  & &   21 &  & &   &'  & &  &  &      & & &   &   &  & & & 2   & &  &*  &   & &)*  *   &  &  &              &   &  &          &   &   &  &  &    &   &  &  &  &     &    &   &              &   &  &                   &  &  &    & & & 2    )   )   )            & &    & &)   &   &  & &   &  &  & &     &  &  & &   , & &  ,. &   &        , &   &   &  &  & &     &  &  & &   , & &  ,. &   &        , &   2  &  &  &  &                 &  &  &    &  &   &  & &  & &   & & & &  &   &  &  &  & -  &  & &  &  &  ) ) *-  &   &  &   & & & ,  & & & 2  &   & &  &  &) )) *  & & & & &  & &21  & &  & 2  & &)))   &   &  &  &  &  & &    & &  & &    &  &  &    &  & '     &  & &      **     **     **  **   & & &*         &  &        &   &  &  &  )*   )*   )*   )*   )*   )*   &                                   &  &  & &    & &&  & &  &    &  &   &  &  & &              &   &  &  & &               &  &    &    &  & & &   & & & &  &   &  &  &   &  &  & &  &  &  & &-    &    & & &** &-   & & &    & & &  &   & &  & &  & 2  & &  &  & )''   & , &   &  & &  2  &  &&  & & &   &     & & &   & & &   & &  &      &       &  & &   &   & & &    & &&-   &   &    &  &  &  &   &  &   & ,  &  &  & &     & -     &        & & & ,   .  &      &     & & 2 &  & & & 2  &   &  &  &   &       &   &  &   & & &    &   &  &     & & & 2  &  & & &    &        & & & 2       &    &  & & & , . & &   &     &     &   &   &     & & & 2  &    & &   &  &   & &  &  & '  &     & & & ,  & &   &  & &  &  & &    &     &         &, & &  &  & & & -         &2  & & & 2  &  &    2 &  &  & & & , &   &  &         & &    &   &  &   &         & & & &    ,.  &   & 221 & &   &   & &  & &   & &  & & & 2 & &  & & &-  & &   & & &  ' ,  & &   & &   &  &   & &-    & &&-  &  &&   &  & & &  &   &,  &  &   &&   &  & & &  &  & & & &  2 & 22 & & & &  & & &  & & &- & & &         & &  &     &  & & & &   &       &    &  &  )''  & &-  &     &  &  &  &  & & & 2    & &'  & &   & &   &  & 2 &2  & &    & &   &  & 2  &   &   &  &  &  & &  &'  & &   &   & &  &            ,   2 &       &   &  &  &   &  &   & &   ,  &  &,  & &     &  & & ,  & & & ,.    &    &   ,21 & &   & &      & & 2 & &   &  , & & &  & & &-         &      &   &    21  & & &     ,   .1 &  &   &,     2 &  & &  &    & & &  &   &   &  &   & &-  &  &       &  & &     & & &  &&  ,  & & &  ,.  21 &   & & &      &   &   &         & & &              &,  &  &      &  & &     & & &  &&  ,  & & &  ,.  21 &   & & &      &   &   &         & & &              &  2  & & & & 2 &  &    &  &  &  &  &     &  &   &  &   & &-  &  &  &       &  &  &  ,   & & &  &&  ,  & & &  ,.21 &   & & &      &   &   &         & & &              &,  &  &      &  &  &  ,   & & &  &&  ,  & & &  ,.21 &   & & &      &   &   &         & & &              &  2  & & & & 2  & & & 2     &   &  &   & & & & &   &  &          &  & & & &   &      & & &   & &      & & 2   & &   &  &  & &  & & &&-   &      & &         &  &  &                  &  &  &  & & '    &   &  &   & & & & &   &  &  &  & &   &   &  & &   &  & & &       & & &-   &        & & & ,   .  &     & & & 2   &  &  &     &   &  &  &  &                                     *        & & &   &   &  & &   &  & & &       & & &-   &        & & & ,   .  &     & & & 2  & &   &  &  &   & &  &     &  &  &   &  &  &   & &  &  &  &  ,  2  & & & , .   & & 2 &  &     &  &  &  &  & & & 2   &  & &    & &   &  & 2  & &   &  &   & & & & &   &  &          &  & & & &   &    & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        &  & )''    &  &  &  &  &                  &   & &   &  &  &         &  & ,  ''           &  ,  &  2  & & 2 & & &   & &      & & 2   & &   &  &  & &  & & &&-   &      &           & &    & &   &  &  &  &  & &&-  &      &   & ,  & & & ,.  &21 & 2  & &   &   &  &  &  &   & &  & )''    & &  &  &  &            &&  & &&    &   &    & &  &  &  &            &&  & &&    &   &    & & &  &     &  &  &  &  & & & 2  & &    &  && & &  &    & &  ,  & & & ,.  &21 & &  &      &   &  ,  & & & ,.  &21 &  & &    & &    & & ,  & & &   ,. &   & &    &   & &  &   & & & &  &   &,   & &2    &  &   & & & &   &   &  &     &   & & &   &    &  &  &  & &   , & &  ,. &            &   & & &   &    &  &  &  & &   , & &  ,. &         &         &  &  &         &      & & &   &    &  &  & &  , & &  ,. &      &            &  & & &   &   &  &  & &  &'   & &   &   & & & & &   &  &  &  &  &   &   &       &         &   &   &     &  & & &  &    & & &  &&  ,  & & & 2  &  21 &  & & &      &   &   &         & & &             &  & & &)))))   &   &  &  &  &  &  &  &  &  &  &  &  & &    &  &    &  & &  & & & &    , &   &   &  &  &    & &     &  &&    & &&    &    &    &  & & '  & &   &   &  & &   &  & & &       & & &-   &        & & & ,   .  &     & & & 2 & & &   & &      & & 2   & &   &  &  & & &  && ,  &2   &          &   &   &      & &   &'  &   & &  &&    &   &  &  &  & &  &          &     &                           *  &  &  &  &  &  &  &                                               &   &  &  & & '  &  &   ,       &  ,           2 & &   &  &   &    &  &  & &  &    &  &  &  &  &  &  &  &  &  & &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &   &  &   &   &'    & &' &-  ,      & &  ,  & & 2 & & &  & &  , &  ,  &     &  ,  2 &   & ,! &  ,    &    &    &   & &   &  &  &  &  & &  & ,  &  &,2      21    &    &    & &     ,  & &  &   & &      & & 2    & &   &&  , &   & & &  && ,   &2         & &  &   &  &   &)*   &   &  &   &)*   &   &)*   &   &)*   &    & & & 221  ,  &    ,!  & , &, & &  & &  &,       & &  &     & ,!  & & &  & , &  & & '  , ,! &  & & &  & , & &  &                    &,  &      &,!  &  &  & , ,! &  &  &  & ,  &, & &   & & & & , &  &  & &  & &          &    ,  ,! &       &,  &      &,      & &     &      &   &   ,! &  &  &  & , &       & &-  &    ,  & &  &  & , & &  & ,  &  &  &  & &  &   & &      & & 2    & &  &  , &   & & & && ,   &2     &    &  & &    &  & ,.! &  & & &  & , ,!  , &  ,   ,! &  ,    &    &    &   &    &   &  &  &  &  & &  & ,  &  &,2      21    &    &)*     &)*     &)*     &)*     &)*     &)*     & &     ,  & &  &   & &      & & 2    & &   &&  , &   & & &  && ,   &2         & &  &   &  &   &)*   &   &  &   &)*   &   &)*   &   &)*   &    & & & 221   &    ,   &  & &   & &   &  & ,  &&   &  & &  &  & &  & & ,  ,!   & &  &  & , & &  & ,  &  &  &  & &  &   & &      & & 2    & &  &  , &   & & & && ,   &2     &    &  & &    &  & 22    &  &&   ,  & & & , ,! ,! & ,  &  &  &  &   ,!  &  &   & & & ,  &  & & - ,  ,!  &  &   & & & ,  &  & & - ,  ,! & &  &  &   & & & ,  &  & & - ,  ,! & ,  &  &  &  &   ,! & ,  &  &  &  &   ,! &  &  &   & & & ,  &  & & - ,  ,! &  &  &   & & & ,  &  & & - ,  ,!  ,!  ,! &  & & * &  ,  & ,  & &  &  & , & &  & ,  &  &  &  & &  &   & &      & & 2    & &  &  , &   & & & && ,   &2     &    &  & &    &  & ,.! &       &,! &     & &-   &    &    & & & 2 ,  & &  &  & , & &  & ,  &  &  &  & &  &   & &      & & 2    & &  &  , &   & & & && ,   &2     &    &  & &    &  & ,.! & ,  & ,  &  & , & &  &   & ,  &  &        &  &   &  &  &  &  &  &  &  &  &   &  &   & ,  &  &  & &      &   ,  &        & & & ,   .2  &      &     & & 221  &  &      &    &      &    &  &  &    & & & 2    )   )   )             & &  &  &      &  &  &  &  &  &  &                               &   ,!    &, &                   &,    &      &,! & , &   &  & ,                    &,! &  &  & , &    & & ,           &,!  &   &,  & & ,  &     &  ,  &  &  ,.  21        &,    &      &,!  &   & &         &   &   ,! & &  &   & &        &  & ,  &  &  & & &   & &-   & &-   & & & &  &      &     &  &   & & ,  & &' &   &  &  & & &   & &-   & &-   & & & &  &      &     &  &   & &       &             &              &   &   &  &  & & &   & &-   & &-   & & & &  &      &     &  &   & &   &  &  &  &  & & &        &  &  & &&    &   &  &&  &             & &    &  & & ,         ,!  &  &  &  & &-     &   &  & &  &  &  & &     &   &  &    & & & , .,! &    ,  & &  &  & , & &  & ,  &  &  &  & &  &   & &      & & 2    & &  &  , &   & & & & &&-    &     &    &  & &    &  & ,.! &  ,  &,    '   & &  &  & , & &  & ,  &  &  &  &  &  &  & &  &   & &      & & 2    & &  &  , &   & & & && ,   &2     &    &  & &    &  & ,.! &    &  & , & &  & & & & , &   & ,  & & , & &  &   &   &  & &&    &              &,! & & & & &  & & & & , &   & &  & &  ,  & & ,  & & & ,  & & & ,   &                 &,! & &  ,  &  &  &' , &  & ,  &  & ,         '    &  &     & & & ,  &  ,!  & , &  & &&      &    ,  &    ,  & ,  ,! ,! &  &  & ,  & & , & , & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &      &     &   &    & &  &    & &   &  & & &         & & & &    ,.  &     & & & ,  &.21 ,! & &  &  &  & & ,  & & , & ,  &  &  & &  &  , &  &    &  &       &   &  &  &   &  &   & &-   &   &  &   & & &  &     &  &   & ,  &   & ,  &  2 & &  , &  &  &  , 2  & & & , .   & 2                 &  &  &    & & & 2    )   )   )               &   &  &       &           & & ,  &,  &,    &,! &  &   & &' &- , &   &  ' , & , &     &     & ,  &    ,2 &              &       ,  & &  &  & , & &  & ,  &  &  &  & &  &   & &      & & 2    & &  &  , &   & & & && ,   &2     &    &  & &    &  & ,.!  & ,  &  &  &  & & & , &  &' ,  & ,  &  & , & & ,  &   & & &  &  &  &&   &  &          & &  & & & ,.! & &  , & &  & & & &  , &   & & & & ,  & &   ,! &  , &  ,      ,!    ,  &  & &  &  &  & &  &  &    &  &  &  &  &  &  & &  &   & &      & & 2    & &  &  , &   & & & && ,   &2     &    &  & &    &  & 2    & & & ,  &,! & ,  &  & , &   &                    &,! &  & ,! &  &   & , &  &   &,  &      &,!  &  & , & &  &   &   & &  & , & ,. ,21  &      &,! & & & &  & & & & , &   & &  & &  ,  & & ,  & & & ,  & & & ,  &  & &   & &   &  &  &   &&   &  & &  &  & &  & &     &              &,! &  &  & & & , ' , &  &   & -   &                &,    & &   &    && & & &   & &      & & 2   & &   &  , &  & & &  && ,  &2   &      &   & & & 2 &        &,!  &  & , &        &,!   &  & & & ,  & , & &  &   & ,  &  & &&    &   &                &,!!   & & & , ,!  &  &   & &   &  & -  &  & -  & '    , & & &  & &   & &      & & 2   & & ,  &&  , &  & & &  && ,  &2  2 &  & &          &  &   & & 2 & &  &   &  & '    &  &  & & &'   &'  &    )''  & & & ,  & & &  , &   & &  &     &  &  &  &  & & & 2 &  , &  2 &!!!!!  ,!  &,! ,! & ' & &,!! & ' & &,! !" &  &  &  ,2  & 21 & ' 221 , & ,   , & & ,.! & & & & & & & & & & ,  & ,   & &  &  & , & &  & ,  &  &  &  & &  &   & &      & & 2    & &  &  , &   & & & && ,   &2     &    &  & &    &  & 22 & & '    &  &'   & & &    &'  & , & & &  &   &' ,,  &  &' ,  & & & ,2  & &   & &      & & 2   & & ,  &&  , &  & & &  && ,  &2  2 &  & &          &  &   & & 2 &  &    & &  &   ,  & & ,  &     ,!!"2 &   &          &  & & 2 '  ,    & &  ,  & &   &  & & & 2 &  & &  &  ,  & &  &  & , & &  & ,  &  &  &  &  &  &  & &  &   & &      & & 2    & &  &  , &   & & & && ,   &2     &    &  & &    &  & 221 &   &  & &  &          & &   & & & &  &   &   &  &   & & &  & &     &  &  & &   &     &  &         & & &   &     &  &            & &   &     &  &             &       &)*   & & 2  & & &   &         & &   &         & &   &         & &   &     &         &   & &   &     &           & &   &     &         & & &   &     &           ' &&)*   ' & &))* '  ** &* * *  **  **    & &   &          & &   &   ,     ,2  , & &   &         & &     ,     ,2   & & &  &   & & & ,  &  &  & &' , ** ** ) , 2  &   &  & ,  &  &   &  &  & &  &   & &      & & 2    & & , &  , &   & & & && ,   &2   2  &    &  & &    &  & 22 &   &,  &    &  &  & 2  &                  & &  &  ,.1 & ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,!  !  !  ! ,! !" & &  & & & &  & & & &   &  &                     &  &  &   &   &  &  &  &  &  & & &  & &  &  &  &  &  &  &&     &  &  &  &  & &    &  &  & & &&  &  &  & &    &       &    &   &  &  & & &&  &  &  & &    &      &   &  & & '   &     & & & & & &   & & '         &    &   & &  &    &  &  &    & &    &   & &  &  & &    &    & & ,  & & & 2 &  &   & &      & & 2    & &   & ,   & &  & & &&-    &        &   &         &  &21  & & & ,.1 21  &   &  & &-     &   &  &  & &    &    &  & & ,  & & & ,.    &    &  & ,21  &  &  &   & &      & & 2    & &   & ,   & &  & & &&-      &   &        & &    &21  & & &   ,.1 21 & &    &   &   &   & & &  &    &   &  &    &  & & & 2 &    &     & &   &  &    & &  & &  & &  &    &  &  & & , & & ,. ,21    21                      &    &   &    &  & & & 2  &   &   &  & & & 2  &     & &  &    & &  &     &  &  &  &  & & & 2     & & & & & &   &  &  &  & )''  & &  &   , 2    &    & & & & & &   &    &   &   & &  & &   &  &   &   &  &   & &-   & &    &    &  & & ,  & & & ,.    &    & ,21  &  &   & &      & & 2    & &   & ,   & &  & & &&-    &     &   &         &  &21  & & &   ,.1    &21  &    &  & &    &  &    &    &    & & ,  & & &  ,.    & 21 &   &  &   & &      & & 2    & &   &  ,   & &  & & &&-    &     &   &       & &     & &  ,. &  &     &   &      &    & &      &   &  &    & &   & &      & & 2 & &   &  , & & &  & & &-   &   &          &  & & &   ,  . &    & ,  &  &  &   &   & &  & & , &     &  & &   && &-  ,  & & &  ,.  & &        &   &         &   & &   &   &   & ,   &   &   &  &   &              &  &,.21 & &  &  &    & &  &&    &             &  21 &   &     &  &   &         & & & 2    , .21   &    &     & &   &  & &    & &   &       & &  &  & &    & & & 2    & &    & & & &  &   &  & &  &     &  &  &   &  &  &   & 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&  &  &  &  &  &  &  &  &                                               &,2    & &   &  && &    & &&-   &   &   &  & &   &  & & &       & & &-    &        & & & ,   .  &      & & & 2  &                &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &            & &    & &      &  &  &   &  &  &  , &  &  &  &  &  &  , 2  & & & , . & &    &  & &  & &    &  &   &    &      &&     &&     &&     &&     &&     &&     && &   &   &   &   &   &   &   &       &&     &&     && &             &&          &&          &&     && &   &    &                            &  &   & &            &  &           &    )  &                          &  &  &    & & & 2    )   )   )            &  &   &    &    &    &    &    &    &    &    &     &  &     &   &   &     & & 2  &    &    &    &    &    &    &    &    &    &   &  &  &   &     &   &   &     & & 2  &  &   & &            &     &     &     &     & &   &  &  &  &  &  &  &  &  &  &  &  &  &  & &   &    & &  & &    & & & 2  & &  &  & & & & &   &  &     & &   &  &   & &  &  &   &   &   &           &           &        ,   &   &           &        ,   &        ,   &   &           &        ,   &   &           &           &        ,   &           &  &   &               ,2   &            & ,  &  '' ,.  &   & ,  '' ,.   &  &   &                 &  '' 21   &           &           &    &  & &  ,  &  , .    & &   ,.  21  &  ''       &   &           &          ''    &   &  ,   &          '' ,. 21   &          &  ''   ,.  &   &  &   &  &  &  &&   &  & &  &  & &  & &     &   &    &&   &  & & &  &  & & & &      & &   &  &  &  &  &  &  &  &  &  &  &  &  & &   &     & &&&-   & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &             &     &  & &   &    & &  & &    & & & 2  & & &)   &  &  & &   &  & &)*    ) )  &)*    ) )  &)*    ) )    ,  &   &' &      & & & 221    &  &      & &    &   &  &   &    &  & & & 2  & &))   &  & &   &'    &   &   &  &    & &    &  &  &  &   & &  &  &   &     &    )**** -'  &   ** *)*   &   & &  & & &-  &   & &&-  ,  & & &  ,. &    &     & &  &   & &  &                     &  &  &           &  &  &   &   & &  & &   & &   & &   & & &))   &   &   &  &    &  &  &  & &    &  & &  & &  &  & &   &'  &     &    )**** -  &   ** *)*   &   &       &   & &  & &                 &,  )*   )*   )*   & &  & &                          & &  &  &  &  &)*   &  &)*   &  &)*   &    &    &    & 2  & &  & 2  & & & &   &   & &    & & &    &   &  &    & & & '    &   & &    &  & & &'    & &  &    & &  & &    & &  &   & &  &   &  &      &  &  & & &     & &       & & &  &   & &    & & & ,  & & & ,. 21 &     &    &    &   &                 &      &       &   &  &                 &  &    &   & & & ,  & & &  ,. &     & & &)   &  & &   &  &  &  &  &   & &)*    ) )  &)*    ) )  &)*    ) )    ,  &  & & '      &  & ,  & & , &  &   & &      & & 2    & &   && , &   & &  & & &&-    &         &  & &            , 2 &21  & & & ,.1 21    &  &   & &   &'     & & &)   &  &  & &   &  & &)*    ) )  &)*    ) )  &)*    ) )    ,  & &  & & & 221    &  &      & & &   &   &   &   &  &    & &    &    &  & & ,  & & &  ,. &     &  &      & & & & &  &    & &&-      &  &              &  & & &   &   & &    & &    &   &  &    &  & &    &  & &  &'   &  &    & &    &  &  &     & '    &  &  &     &  &   &                       &   &   & &  & &  &        & &  &     &   & & &   &  &     & &   &  &   & &  &  &   &   &   &           &           &        ,   &   &           &        ,   &        ,   &   &           &        ,   &   &           &           &        ,   &           &  &   &               ,2   &            & ,  &  '' ,.  &   & ,  '' ,.   &  &   &                 &  '' 21   &           &           &    &  & &  ,  &  , .    & &   ,.  21  &  ''       &   &           &          ''    &   &  ,   &          '' ,. 21   &          &  ''   ,.  & & &    &     &  &    &     &     &  &    &      &     &  &    &     &     &  &    &      & &    &     &  &    &   &  &    &     &     &  &    &   &  &    &      & & & & &   & & & & & & & & & & & & & &  & &   & &   &'  &  &&   , 2  & & & &   & &   &'  &  &&      & & & &  &  &   & & & & & & & & &    &  &  &  &  &   &   &   &   &   &   )*    )*    )*   & &  & 2 & &     &   &  &  &   & &   & & &  & & & 2    &   &  & &    &   &  &    &   &  & &   ,  &   & & , .   &  & & &  &      & & 2 & &   &  , & & &  & & &-    &           & &    &    +   &   &                                   .1 &                &     &  &  &    &  &    &         &   &  &    &  &    &        &   & & &   &   &  & &  &    &-   &  & &  & , &  & & & 221    &  &  &    &  &    &         & & & &  & &       &    &  & & &   &  &    &   &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &   &          &   & &  ,. &  &   & & & &     &  &    &   &  &    &     &     &  &    &   &  &    &      & & &    & &    &  &   & &  & &     & & & 2  & & &  & &  & & & & &-   & &   &  &&      & &    &  &   & &  & &     & & & 2  & & & &  &  &   & & & & &    & & & &    &  &  &  &  &    &   &  & &  & &  & &  &  & &   &  &  &   & &-   & )*   & )*   & )*   & &  & 2  &   &  & &    &   &  &    &  &   &  & &  &  &   & &&-   & &-  & & '   &       &       &   & &   &'  &   &  &  & &  &  & &  & & &  & 2     & &  & &     & & & & '     & &     & &    &       & &    &    & '    &  &   &                        &  & &  & & &  &             & & &   &'   & &- &  & & &  &   & & & &  &   &  &  &  & -   ,  &  &  &  & &  &  & &  & & &  & 2     & &  & &     & &                  &2  & &  & 2  &  &  &    &  &    &       &   &  &    &  &    &      &   & & &   & &   &'  &   &  &   &  & &   & &  & & , &  &   & &      & & 2    & &   && , &   & &  & & &&-    &         &  & &             &  & & & ,. 21   & &   &  & &  &    &-  & & '   &  &   &  & &  & , &  & & & 221    &  &  &    &  &    &       & & &  & &       &    &  & & &   &  &    &   &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &   &          &   & &  ,. &  &   &     &  &    &   &  &    &     &     &  &    &   &  &    &      & &   &   &   &   &   )   )   )   &   &  & & &   &   &   &   &   )   )   )   &  &   & & & & & &   &   &   & &   &   &   &   )   )   )   &   &  & & &   &   &   &   )   )   )   &  &   & & & & & & & &   &   &   &   &  )   )   )     )   )   )     & & & &    & &-   &   &     & &   & &  & &  & 2   &  &  &    &   &  & & &   &    & &   & &   & &  & &  & &  & 2  &   &  & &    & & & & & &  & &    &  &    & & &    &  & &  & &  &   & &  &  & &  &  &    & & & & & &  & &  &  &                 & &  & &'  , ,  & & &  & & & &  &   & &&-   &   &    &  & &  & &  &   & &  &   & &                    &  & &  &  & &   & & &            & &  &     &   &  &  & &  & &    &  & ,      ,  & &  &  &  &      & &&  & , & &&  &   &   &           ,2  &  & &  & &  &   & &  &   & &                    &2  & &  & 2  &  &  &    &  &       &   &  &    &  &      &   & & &   &   &  & &   & &     &     & & &  & & & 2    & &    &   &  &   &    &  & & & 2  &  &  &    &  &       & & &   & &    &  &   & & & ,  & & &   ,. &   &  & &  & & &   &  &    &  &  &  &   &  & &  & & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &   &        & &     & &  &  ,. &  &   & & &   &  &  & &   &    & & &  &  & & & 2    & &     &  & & &    &  & & & 2  &     &     &   &  &    &     &     &     &     &     &   &  &    &     &   &  &    &     &   &  &    &     &   &  &    &     & & &   &  &   &  &  & &    & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  &   &   &   &   &    & &          &      &  & & &    & &    &  & ' & &  &   & &                   & & &    &  &  & &  ,  & & & 2 &     &  0             &   & &  &    & & & ,  & & & 2  & &  &    & 21  & & & 2  &  &  &  &  &                     & &  &   &  &   &  &   &   & & &      & &      & & &      & & &      & & &      & & & & &  &      &   &           &   &  &         &      &      &  &  &&  &              &    &    &            & & & &   &  &   & & '   &  &   &  &  &   &    &    &    &    &   & & &           &    &  & &     & &   &'   & &-   &  &  & &  &  & &  & & &  & 2     &  &   & &  & &       & &  & &     & &  &                                & &   & &  & &  &        & &  &     &   & & & & &  '    &  &  &  & & &   & &  &   & &      & & 2    & &   && , &   & &  & & &&-    &     &  &   &    & &  & &  & )  & )  & )              &    &    &   & &        &  &    & &  ,. 21  &  &   &    & &  & &  & )  & )  & )              &    &    & &    & &        &                       & &   &   & & & '       &  &    &  & &    &  &  &  )  )  ) &  ,  &  &  &  &  & &  &  & &  & & &  & 2     & &  & &     & &                  &  & &  ,. &   & & & &  '    &  &  &  & & &   & &  &   & &      & & 2    & &   && , &   & &  & & &&-    &     &  & &          &  &    & &  ,. 21  &  & &          &       & &               & & & &   &   &   & &  &      &          &   &  &         &      &  &   &     & & ,  &   &  & , .   & & ,  & &   ,  .  & & ,  .1   &   &  &  & &    &   +   &   &                                  .1     &  &  )*   )*   )*    & & & ' & &    &  &  &   & & &  & &  &  &  & &  &   & &      & & 2    & &   & , &   & &  & & &&-    &     &   )   )   )            &      &   &               &         & & &               &      &  &  & & & ,. 21    &  &  &&  &                &    &    &            & & & & & &))   &   &   & &    &  &    &  &  &  &  &   &  & &      &    )**** -  &   ** *)*        &    )**** -  &   ** *)*       & & &  &   & &&-      ,  & & &  &   & &&-    & &-   &   & &  &   & &                    &  2 &       & & &   & &    & ,  & &  &  & & &   ,    ,   &  & &&  &   & &  &      & &  & &  &   & &  &   & &                    &,2  & &  & & & 21  & &  & 2  &   &   & &    &    & &  &  ,  & ,   & & &  ,. &    & &               & & &  & &  &        & &  &     &   &   & &   &  &  & &    &   & &  & & , & & ,.  &21  & &  &   & &      & & 2    & &   &&    & &  & & &&-    &            &  & & & &&  &   &   & & & &))   &  & &    &  &  &  &  &  &  &   &  &   & &- &         )**** -    ** *)*   &  &  & & &   & & &        &  & &   & &         & &  &        &  & & &&&&-    & && &  &   & &   &  &  & ,  & &   &                     & &2  & & & 2  & & &))   &   &  & & &   & &  & &  & &  & &  & &  & &  & &  & &  & &  &   &  &   & &- &         )**** -    ** *)*  &     & ,  & &   ,    ,    & &&   &  & &    2  & & & 2  &  & &  & &  &   & &  &      &     &     &     &     &      &   & &    &     &     &     &     &      &  &))))   &  &               &  )*      *  * &) *   )     & &*     & ) )      &  )  )  )  )* &  &'  )    & )  )   *    ))  &     & , &    &    &2  &  &        )) )) )) ))  ))  ))  &        )) )) )) ))  ))  ))       &  &  &  & & & &   &     &   &  & &    & )*  & &) &  & & & 2  & & * & *)))))  &   &    &  &     & &    &  &   *   *    *    &   &    &+ &  &   **   &   **   &   **    &  &     &  &   **   &   **   &   **   ,  &   &    &+ &  &   **   &   **   &   **  , ,    &  &  &   **   &   **   &   **  , ,   & & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &       2     &+2 & ,  &   &   &.1  & & ,.1 &  &  &  & & &   &  &   **   &   **   &   **     &  & & & 2  & * & &))))))  &     & &   &  &       & &        &  &   *   *    *    ,  &   &  ,   &   &  &   *    *    *  , .  &      ,   &  & &   &   **   &   **   &   **   **  ,   &   ,    &.1 &   &  & &  ,  &   **   &   **   &   **   **  &    & & ,  &   **   &   **   &   **     ** &      &  &  & &   ,  &   **   &   **   &   **     ,  **,   & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &      &      &    &   2     &+2 ,  &    &   &.1  & &   ,.1 &  & & & &    & &  *  *  *   &  *   &  *   &  *     **  & & & 2  &  & &  &   &   &  *** -   **  & & & 2  & & * * &)))))  &   &     &  &  &  &     & &   &  &   *   *    *   &  &      &    & & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &       , &  &   **   &   **   &   **     & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &        & 2     &+   &  &   **   &   **   &   **     & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &        &    &   &    &+ &  &   **   &   **   &   **     & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &        &    &   &    &+ &  &   **   &   **   &   **     & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &        &  & ,  &   &   &.  & &  ,.1 &  &  &  &  &  &  & & & &   &  &   **   &   **   &   **     & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &        &  &  & & &  ,. &  &   & & & & &)))   &  &   &  &  & &    &  &  &     & &   & &  & & &   &   & & ,  & & & 2  & & &  ,.1 &   &  & * )     &  *  *           &  )*     & )& & & & & &    & &   &     & &   & &  & & &   &   & & ,  & & & 2  & & & ,.1    &21 &  & &              &0              *    )    )      )  )  ) )&                            &    & & & & & & &)))))))   &  & & & & & &    & & & & &    & &  & &    & & &      &&  &  & &  &   &   & & & 2  & &   &  &  & & & & & &   &  &  & )   & )  & & & & & &   &  &  & )   & )  & & & & & &   &  &  & )   & )  & & & & & &   &  &  & )   & )  & & & & & &   &  &  & )   & )  & & & & & &   &  &  & )   & ) &   & &-   &  & & &    & &   & &  & & &    & & & & & & & &     &   & &  ,  & &  ,. &   & ,  &   & &   ,  & & 2 &  & - ,  &  &  & )   & )2  & & & 2  & & & 2 &  &  &  & )  & )  &    & & &   &   ,2      &       &  &  &   &         &   &  &  *  )   &  &     &    , & &  & &  & & &  & & ,  & &  & &  *  & *  & *  *   *   *  ** & &)*    & &  &  & &  &  * ,     &   & & &     & *   & *   & *  **   &   )  &  & *  , 2    ,     &, & &  &    & & ,  & & & ,.  &   * &* &         * * &* &&-            & , &     &  &    * * &* ,     &  .21  & & 2 & & 21  &  &  & &-   &   &  & &  & & &  &   & &      & & 2    & &   & , &   & &  & & &&-    & &           &      & &     &  ,    & &. 21  &   & & &   &  &  & &     & &    & &0              &             & &   & &      & & 2   & &   &&  &  & &  & & &&-   &   &  & &                      &    &   & &    &    &    &    &    &    &    &  &    & & & & *   &  &  & & & ,  &   & &,. 21  & & &  &  )  )  )   & &-   &   &  &  &!!!!  &,!    &!"  & & & ,.21 & & & & & &   & & & & &   & &  &  & &  & & & & & & &  &   &   &  &  & & ,  &   , &  ,. &    , &   & & ' &  &   ,21 & & & &   & & & &  &   &   &  &  & & ,  &   , &  ,. &    , &   & & ' &  &   ,21     )&     &)))   &  &   )*   )  * *     )*   &     &     &      &  & & &    &  &  &  &  )  &))   &  &  & & & &     &  )  )  )   & &-   &   &  &  &!!!!  &,!    &!"  & & & ,.21  & & & & &   & & & &   &     &     &    ) ****** &-   )&       & & & & & &-  &   &   &  &  & & ,  &   , &  ,. &    &   & & ' &  &     &  &  &   &   &  &  & & ,  &   , &  ,. &    , &   & & ' &  &   ,21     & & & & & & &    &  & &    & &&      & &  &  & ,  &   & &,. 21 &   &   &  & & & 2  &          )) )) )) ))  ))  ))  &        )) )) )) ))  ))  ))                   )) )) )) ))  ))  ))  &        )) )) )) ))  ))  ))       & &        &  & &       &   & & &  &      & & 2 & &   &  , & & &  & & &-   &       & &   , . &  &  &    & &  & &  & &     & &  &  &      &  & & & 2    &   &  ,    &  &       &  & & 2 &  &     &  & & & 2         &      & &  & &&  &  &  &   &   &    &  & & & 2    & &   & &  &    &     & & & 2         )) )) )) ))  ))  ))  &        )) )) )) ))  ))  ))        & & &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &             &  &   &   &    &   & &   &&    &             &   &   ,2 &  )  )  )      &    &    &    &    &    &    &    &  &   &   &   &   &  &  &   &   &,  &   &     )*  &   &     )*  &   &     )* &                         & & &   & &      & & 2   & &   && , &  & &  & & &&-   &   &  & &                      &    &   & &    &    &    &    &    &    &    & &    &  &   & &     &   &   &  &      & ,  &  & & & 221  & & & ,. 21  &            &         )) )) )) ))  ))  ))  &        )) )) )) ))  ))  ))        &     &     & &   &   &  &  &  &  & & &    &  &  &  &             & &    &   &   &   &   & &   &    & *  &   &    & *  &   &    & *  &   &   &   & ,  & & 2  &   & &      &   &  &   &  & & & 2  & & & 2  &      &        &    )))))))  &  &) *  &) *  &) *  &* & )*  & )*  & )*  & &   &    & *  &  *-  &  *-   &   &    &  & & & 2   &           )) )) )) ))  ))  ))  &        )) )) )) ))  ))  ))            &&          )) )) )) ))  ))  ))           )) )) )) ))  ))  ))   && &           &&     && &   &    &    &    &  & & &))))  &  & & &   &  &  &  &  &  &  &    & & &   & &      & & 2 & &   & , & & &  & & &-          &  &     & &  & &  & &  ) *   ) *   ) *   *     *     *     )*   )*   )*   *     *     *     & & &   ,  .   21  &  &     & & * &   &  & &     & & & & &-   & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  &    &   &    & &     &  & & &    &   &  &  &  & &  &    &   &     &  &      & &      & & 2    & &    &   &     &  &      &  &   & &  & & &&-    &      &   &     &  &     &     &     & &))   &   &    * * &*    & & &    &    &  &    * * &*  & & &          * * & * &&-    &        ,   &          ,   &  &    * * & *  ,   &        2   & &  ,  &.1 &   & & &)   &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &           &   &    * * &* &      &  &     &  &    * * &*      &  &         & &  ,     &  &    * * &*  ,     &  . &    &  & &   &  &    &     &  &  &  &  &     &     &     & & & & & &)))))))))))))))))))))   &  &  &  &         ****            ****   ))  &  ))  &  ))  ))   &  ))   &  ))   ))  &  ))  &  ))  ))   &  ))   &  ))       ** )  &   & )) )) )) ))  ))  ))  ))  ))  ))  )) )) ))   ))  ))      &  &  & &   * )   )   ) ) ) )  ,  &   *  & *  & * )  )  )              )  )  )              & & ,.  &   &          *  & *  & * )  )  )              )  )  )              & & ,.1 & & &      &   ))  ))  ))              ))   ))   ))              & &  & )) )) )) ))  ))  ))   ))  ))   &  & &   * & &  )   *  & *  & * )  )  )   *     *     *    )  )  )   *     *     *       )   *  & *  & * )  )  )              )  )  )                 & & &   , .   ))  ))  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &        &     &         &     &  &           &  &  &  &   &   &    )   &  & & &        &     &  & &   &  & & &         &  &  &  & & &        & &  & &   &   &  & &                 &     & &   &  &  &     &  &  & &    & &  & &   & 2 & &    &             &     & &   &  &   &   & &'  &  &     & &  ,  & &    ,. &   & & &   &   & &' &     & &  ,  & &   ,.21 &  & & &     &    &   &  & &             &     & &   &   & & &   &  &   &  &   &  & &  ,  &   &  &  , . &     & & &  & ' ,  & & & ,.   & & &  &    &' ,  & & & ,.21  & &             &    21   &  & &   &  &   &    &      &   & & &  & &  && &  *&   & &' &     & & ,  & &   ,.21      & & & 2   &   &   &   &  & &  & &     &  & &    &  & &    &  & &    &  & &    &  &   &  & &             &     & &   &  & &   & &    &   & &   &&, &   *&, & &   &, , 2  &   ,   &'  &      & &   ,  & & 221 &  ' -   &  & &&-   &  ,  & &  ,. &             &     &  &  &    &  & & & * &)))))))))   &  & ')*  & ')*  )  )  & ')) *  ) 2  *  *  *  *   &  *   &  *  & *)* *    )            *   *   *  **          *  & & & & & & & & &))))   &  &  &   )  )  )  &  &  &    & & & 2  )  )  )  )  )  )  )                  &  &  )  )  )              )  )  )    )    )  )  )  )  )  )        & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        &   &             &))                                 &   &                             & &  &       &  & ' &   0                **   &    **   &    **  **           &             &*    *   &    *   &    *  )  &                & & &     **      &  &    **      &  &    **     ** )  )                  *      *      *                   **   &      **   &      **     &              )  )  )  & &)))   &   &  &    &    &  & &    &                 *   *    *        **   &     *   &     *           ) &* &   &))))   &   &  &  & &    &  &  &  &  &  &  &   &  &  &   *  *  * *)*               &)*    *    *       **     *     *   )   &   *  &  *  &  * ))&   &    & &&-    &  &  , &   &  &    &  , &)* ))& ,  &.21 &   &     &    &    )  )  )        )   & &&& -  & &  &  &  & & &                   &        & &   &  &  & & & &       & & &-   &        & & & ,   .       &   *   *   *  *)*   &    *   &  &  &   &     & & & 2  & & & & & &)))))))   &   &  &  &  &  &  &  &  &  )    & &  )    ) &   &   )  )  )  )  )  ) ) )  ,  )  )  )  )  )  ) ) )  &  &  & & &      )  )  )  )  )  ) ) )  2 &  &   &  & &  & & & &  *  *  *  *    **  ) ) )  &       **  ** )  )  ) 0                 *   &    *   &    *   )  )  )  )  )  )     &) &      & & & 2   &    &  &  &  & &*   & & &  &          ** )        *-      *-     *       )) )***** && - ) ))   & & & 2  & & &  &          ** )        *-      *-     *       )) )***** && -  ) ))  & & & &    & & & 2   &    &   &   &   & & 2   &     & & * & & & &))))   &  & & &   & &      & & 2   & &   &&  &  & &  & & &&-   &   &  & )  & )  & )  & )  & )  & )  &         **   &    **   &    **  **  &    &    &    & &              & &              & &                   **   & &      **   & &      **   &    &     &    &    &   &   &  & & &))   &   &  &  &  &              *  &  &      * ) *  &  & & )            )*     )* 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  &  &     &  &  &'   &     ,  &        &  &     &  & .  &'    &     &' &         &  &  &  &' ,          &   &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &   & &    & 2    &' &    &' &.   &' ,    &     &   &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     &  & &     &  &     & .  &     ,  &        &  &     &  & .    &' &    &' &         &  & & &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &           &      &     &  & &     & &     &  &  & &     &  & &     &     &     &     &     &     &     &     &     &       &      &'   & &       &  &       &   & &       &  &       &   &       &    &    &        &  &     &  &       &  ,    ,    ,  &  &        &    &    &. &       & &       &             &  &  &''   & &       &  &       &     &          &  &     &  &   &'   & &       &  &       &   & &       &  &       &   &       &    &    &        &  &     &  &        ,    ,  &  &        &    &    &.           &  &  &      &  &      &  &  & '' &-''   & &       &  &       &     &          &  &     &  &     &  &   &  &''     &  &   & &     &  & &        & &     &  & &        & &     &  & &          &   &' 2  & ,  & &     &  & &        &' ,  & &     &  & &      ,    &  &   &  &  & &''  ,    &   &     &  &  &   &  &''     &  &   & &     &  & &        & &    & 2    &  &   &  &''     &  &  &   &  &'' ,    &  &   & &     &  & &        & &    & 2    &  & ,    &  &  &  &     &  &   &  &''     &  &   & &     &  & &        & &    & 2    &   &  &''         &  &   & &     &  & &        & &    & 2    &  & 2  &' ,  & &     &  & &        & &     &  & &        & &     &  & &          & .  &  &      &      & ' &&&-   & &     &  & &      2  &  &'' ,  &  &'' 21 &   &     &   &     &      ,  &    ,2    &     &  &     &                &   &   &   &  &''   &  &  &   &  &  &  &    &  &''    &  &  &  &  &     &  &  &     &  &  &       &  &  &  &  &     &  &  &     &  &  &     &   &' & &  &' & &  &    & & & & &   &     &   &     &        &   &            &  & ' ,    &  &  &, 2   &    ' ,   &  &    & & , ,    ,.        &  &21       &21   &      & &   &   & & & &   &  &  &  &  &   ''  & & &&     &        & & & &   &     &  & & & &)   &  &  &   &  &     &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &        &   &   &  &  ,     &   &   &'  &  &,  &  &    2  &    &'    &  &  &  &    &' , .    &   &     &  &!!!!!!!!!!!!!!!!!!!!  ,!! ,!  &   &   ,!  &   &  ,! ,! ,! ,!"  &  &      &   &  &  &  &  ,   &   &''       & & & 2  &    &   &  &  & &   &   &''  &  ,      &    &  &!! &   &  & &   &               &  &      & &  &&    &        &        &        &  ,    &  &     &   &     &    &  & 2     ,  &     &.21  & &  &     &   ,         &   &   &''       & &   & ,     & &   , & ,.        & & & 2    &   ,  .1 &   ,   &    ,   &   &''       & &   &  ,  &    & &  , .   &   , .   &   &''       & &   &    ,.   &   &''       & &   &    ,     &.21  &    &   &  &  & & , & &  ,    ,   ,2       ,!  ,!!  ,!  ,!!!!!!!! *  &  &  & & , &    , &    ,    ,,,!!!  ,!!"21 &     &  &  &  & & , & &    , ,2 &  &  &  &  & &,21  &  &   &   &''       & & &  &  ,  &  &  && , .   &   &''       & & & 2  &    &   &  &  & &21  &  &   ,.1 &   &    &  & &    &   &   &   & &  &    &     & & & &   &   &  &    & & & 2            &  & & & &       ,  &  &  &   ,. &   & & &  &   &    & & &     && &  &       &  &     ,  , .  &21 &  &       &    ,  &   , .21    &    ,  &.  & & &   &   &  &                   &       &        &  &  2  &      &        ,  &  , .21  &  &  &&  &  & & &  & &   &  & & &  && &&  & & &   &                   &    &  &  &    &   &,.  &  &       &        &  &  2  &      &        ,  &  , .21  &  & & &   &    &   &  &  &  &,  &  &  &,  &  &  &, &,    2  & & &   &       &  &     '  &,.  & & & & &  &   ,!    ,!    ,!   ,!      ,!,!"21  & & &  &  & & &        &  &           & &  ,  &  &   ,      .21   & & & &   &  &  &   &  &  &  &      & &     &    &   &  &      & & 2  &    & & &   &  &  &  &   &  &  &  &  &     & &     &    &   &  &      & & 2  &    & & &   &  &                   &        &  & ,     &        &       &  &  ,.21 &  &     & '           &  &     , & & ,  &  &  ''   ,.  &  &  ''   ,.1  &   ,  &  ''     ,.  &  ''  ,   &.1 '            &  &       , & & ,  &  &  ''  ,.  &  &  ''  ,.1  &    ,  &  ''  ,.  &  ''    ,   &.          21  &  &''     &  & &  &  &    ''  &    & &   &       & ''   &  & ''   , ,  &,2  &         & +    &  & & &  &   ''  & +   ''   &  &     &  ,  &  &  &   ,.  &  & +  21  ''  ,  &  &  & 2  & .1 &   & &   &   &  &  &  &     && &&     &  &&  &&     &     &&     &     &&     &     &&  &&   ,  &&   ,  &&   ,  &&    2  &&  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&   ,  &&  &  &        & &&  ,  ,  2   & &  '  '      &      &      &    &  &  &  & & &   &''   &  & &       ,    2         &        &  &''   & , & ,  &       &                &      &    &  &  &  & & &   &''   &  & &       ,    2    &      &         &  &        & &       &  &''                         & )'    &  & &-    &   2 &  ''  &  ''   &   &             &  & &  &  & & '                          &       &  & &     & &  ''   &   &      &    &     &  &  &  ''  & &    &   &   ,                   '    &   &    & & &   ''   & &  & &      , & &   &''   & &         ,   &   & & &    &  &    &  &  ,    &  &   &  &  ,  & .  &''    ,   &  ''   &  & &   &  & &        , 2    &     & &  &            ,  &''   &  & &         ,  &''       &  &''       ,2   &  &''         ,      2  ''    &  &     & &  &  &         & &      & &  &  &               &   '    &   & & &    &  &    &  &  ,    &  &   &  &  ,  & .  &''    ,  &  &''   &  & &   &  & &        , 2    &     & &  &          ,  &''   &  & &       ,  &''       &  &''       ,2   &  &''       ,  &   &    & & &   &''   & &  & &    , & &   &''   & &       2        & &                  '       & &       &  &''                       '   &    &    &     &  &       &        &     & &     &   & &     &  & ,   & &  ,   .  &''             , 21  &  & &    ''''               ,               21 & &       & &   &  & )'  &     & '     & &   &  & &    &  &   &  & & &   '' &&   & &  &' & & &   &'   & &  &' & &  &'    &'   & &  &    & & & & & &  '  &       &  &  &  &   &''       & & & 2 & &  &    &   &''       & , & , 2 &   & &   &   &''       & &  &   , ,  &   &''       & &  &   &    &        &  &      &    &      &      & ''     &    &   &       &2 & &   & '     &  &  &   &''       & &  &  '' 2     & '  & &&  &      & &   '''' , & & & &&   &   &''       & &  &   & )'' ' 2 '      &      &  &  &  ''      &   &''       & &  &   ''' 2      &&   &      & &  '''' ''  , & & &&     &   &''       & &  &      & &  '''' ''   , .  &  ''    & &  &   &''       & &  &   ''' 2     &   ''    &&    & &  ''''   , & & &&    ) &   '''   , & & &&   &   &''       & &  &   ''   ,.  21 &  & ''   & ''   &   &''       & &  & '' 2 &       &    &    & &  ''''   & &  &   & &  &    &   & &  ''''  &       & &    &  & & &&    & & & &)  &     &         )  *  &  &  &   &''       & & & 2 & &   &   &  &   &''       & , & , 2   &   & , '   &   &''       &, &,2  & ' 2 &  &  &   ' & , ,    &   & , '   &   &''       &, &,2  & ' 221 &   &   &''       & & &   &    *    &    *  &   &''       & &  &  &''  & &'  ,  &. &    *  &    &   &    )  *    *  &   &    &  & 2   *  &   &   &''       & &  &  *  *  &  ,    &  ,2 *  *  &    &  &    )  *2 &   &    &  & '   &     &   & ' 2 & *   * & &      &  &  &  & &    & & &     &        &   &  & &  & &  &  & &-   & &    &  &  & & &&-         &   &     &  &   & &  && &    &      &      & * *      &  &     )          *  * * *  *  * * *      &  &     &  & & &&   & &&   )  & &&  & &    &  &'' &-  & &&    & &  ''''  & & & &    * )   *  & &&  & & ) '    & & &&  & & ) ' 2  & &  &&     & &&  & & ) '    & & &&  & & ) ' 2  & &  &&    & & & &&  & & ) '  & &   & & & & ,   & &&   & & & & &&  & & ) '  & &  ,. )   * 21  & & & &  )   *    & ''  & &&   &  & '' 2 &  & & &  &&   & &  &&         *  *    * * *  *  * * &      &  & & &&    )  )) *  & &      * &   *             *  *) * &  *  * *)))))      &  & &   '  '   * & &  )  *    &  &  )   *    ))   &  &  , )   *2  &          ) *  )  )        &       * )) ) )) ) )  )    &* )   ) ) )   * * &  &  ))   & &   & &  ))  &  )   & &   & &  )    &&         *   * * &  *  * & &   &  & & & &     & '       & '            &   &'                &  &'                    & &      & &   &  &      &  &  &  &''    &        &    &         &      &        & &   &  &      &        &  &          &  &    &        & &   &   & &      &  &    & & & &   &  & &    &  &  &  & & ''     &  &  &    ,  &  & , .    & ''    &   &  &, 21  & & &&    &   &  & & & &   &  &  &   &  &  &    & & & 2      &     &  &  &   &  &                &     &  &  &             &  & & & & &   &  &   & &  &      &  & & & 2  &'  &      &    &   ''      &        &  &       &   &  & &  &     & &)  *  * &   && ,  &.  & &    &      &  &  &&   &    &   &   &  & &  &  && 2 &    &   & & &)  *  * & & &  ) &  & & & &    &   &     &  ,  &  & &   & 221     &   & '       ,  &  & ' 221   &  ,  &  &  ,. 21  &  & & & &     &    &  &   ,  &   ,  &  &. &   &    &  & & &   &       &  ,    &  && &- ,  &  &  &  ,   .21  &&  && &  & & &   &  &      &  &  &  &    2     & & & &     &  &    &  &  &   ,  &  &  &  221  &  & &  & &  &   &                  &    &   &   &  ,    &  ''     . &  ''   &  ''   &  & & &   &  &   &  &  ,  &  &   &  &  ,  & .  &''    ,  &  ''   &  & &   &  & &        , 2   &     & &  &          ,  &''   &  & &       ,  &''      &  &''       ,2  &  &''       ,2 '   &       &       &  &             &  &        & &       &  &''                         &  & &    &   '   &    &    &     &  &       &    &     &         &  '' & &   ,    &   & & & &  ,   .21 & &    & -    &                  &     &  ''     &  +  &  ,.    &  &  &''    & &  ''   &  ''   &  & & &   &  &   &  &  ,  &  &   &  & ,  & .  &''    ,  &  ''   &  & &   &  & &        , 2   &     & &  &          ,  &''   &  & &       ,  &''      &  &''       ,2  &  &''       ,2 '                '       & &       &  &''                     ,   '   &    &    &     &  &       &           &                    ,  & &     &   & &     &  & ,   & &  ,   .  &''                , 21  &  & &    ''''                  ,   &       &     21  &  & &  &   & &     ''    & & &       '''' && -    &   & &  & &-  &  &   '  && &  &  & &           &  & & &   &  &    & &  &   '''  & &    ''''  , && & &        2 & & &      , &    & & &        ' &-''' && &  &&,  &,2 & &    ,21      21 & ' &  & & & &  '' &&-    & & &  '' &-    &  &  &    &''   &  & &  ''              & &  &  &  &  & & &       ,  & & 2 &   &     '''' &-     & &  &,  &''    & &  & & &     ,  & & 2 &   &      &    &  &  & 2 &  ''   &   &             &  & &     &  &  & ,  &.    & &   &  &    & &   &    ''''    &  &    &  &  ''   & '    &                 &    & & &  &  &  ''    &  &                 & & &  &  &  ''    &  & '                 &       &        &              &     &   &  ''    &  &   '    &   & & &    &  &    &  &  ,  &  &   &  &  ,  & .  &''    ,   &  ''   &  & &   &  & &        , 2    &     & &  &          ,  &''   &  & &       ,  &''       &  &''       ,2   &  &''       ,   &   &    & & &   ''   & &  & &    , & &   &''   & &       2 '         &        &              &       &    &  &  &             &     & & & & &)))   &  &  &   &''       &  &  &  , &         )  ),  &   &''       & + & +. &   &   &''       & & &     &   &''       & & & &  &  & 2       )  )        )  )   & '    & &' , &     ,, &    &   2 &   & & '  & & '  )    &* , & &      )      &2 & &&     &   &''       & + & +.1   &    &    &    &  &  &    &   &)*   * &    & & '      & &&  & & ' 2  &  &  & &)   )  *  &   ,    &   ,  &       &   2 & && & &  & & & & &&   &)*   *   & &   & & & &  ''  &   &))))*   *  & &   & & & &  ''  &   &))*   * &    )  )     & &  &  & 2   &    & &  && & & & &&  & & & &  '' &       & &  ) & )  &* &** & )  &  &* )   &'*  )  &   *  * & & & & & &))))))   &   &   &  &  &   &  , &    ,  &   &''       & + & +. &   &  &  &   &''       & & &    & &  &   &   &''       & & &   ,.       & &   '   &  &  &            , & &&  &  &   ,      ,   &   & & &     & &        &  2  &   &''       & &  & &   '      ,.1 &          21 &  &    &   & &     ,    , &  & &)   )  *  &   ,  &    &   ,2 & & & &&      2 &  &  &    &       &     &  &    )  *  &  &)*   * & & & & & & ' &  &  & '**   * & & &   & & & &  ''  &   &))))*   *  & &   & & & &  ''  &   &))*   *  &    &  &  &  & & 2     & & & & &  &  &  &'**   * &  &  &'    &***   *   & & &  &  & , &  &'    &***   *2 & &     &  &    &   & &       &  & ' ' &  &    ' ' && & & &     &  & & & 2          &       &  &  &    &  ,  &'  ,   &     &  && & & &&   & ''  & && & &&     & &  &  & &   ,  &.  & & 2   & &       &               &.1       &    & &  ,   &    &  ''  ,  &  ''  , & ,. & &  , &   & & &  ,.   &        &  &  &    & & & &     &    & & , . + & & ,     .     .1   & &         &'*   & &        &* )   &'*   &  & & & &           & &  )  ) &  )  &* * )  &**       & &    & '  '  ) ,  & &  ) , ) , &  & & , ) 2  & ))*  )      &  &  *))*  & & &   & )   & & & )  , &  2 *  * *      &  &  & & & & & &   &  &   &  &  &    &   &   &  &     & &  &  &    ,  &, 2  &  &    ,  &  &   ,    .  &  &    &  ,  &  &     &  ,. 21  &  & &  +  &  & &   &'     &     & &     &  &    &  &     ,      &     &  &   ,.  21 &    &  &     & &   &'      &   &  &  &    ,   &  &        & &    &       &    & &    ,    &  &  &   & &   &'      &  &  &    ,    ,   &  &         &   2 &    &  &      &     &  & &'    ,      &  &  &    &'  ,.     , &      ,         &  &         ,   , 2 &  -   +  & & &  &      &  &!    ,! &  && ,!        ,!!   & &    & &&          ,      &     ,!    '   ,!!!!!!!!   * & +!            ,!   ,!   &  & &     &  &        &   ,!          ,!  & &  ,! &      +!      +!  &      &    +!      +!      +!      +!  &      &    +!  +!"!      !"21 &    &  &  &   &  &  &               &  &    &  & &      &    &        &,    &   , &     &  & , & &   &'' ,  &  ''  &,. &    ,        &  &   , &  & &   ,   &  ''   ,  &.21 &       & &  + &   &     &  &  &    &  & &           & & &   & & &               .1 &     &    &    &  ,   &   & &   ,. &   &   &   ,  & &   ,. &   & &   & & & &)   &   &  &    & & & 2  &     &           *  &  &  & &   *  &     * & & & & &   &     &       &             &     &    &  &  &    & & &  &       &               &  &  &    & & ''''   ,  &   ,. &   & & &   &  &    &      &  & &  ''  & &    &   &   ,                   '    &   &    & & &   ''   & &  & &      , & &   &''   & &         ,   &   & & &    &   &  &   &  &  ,   &  &   &  &  ,  & .  &''    ,   &  ''   &  & &   &  & &        , 2    &     & &  &            ,  &''   &  & &         ,  &''       &  &  &''       ,2   &  &''         ,      2 &  ''    &  &   & &  &  &         & &      & &  &  &               &   '    &   & & &    &  &    &  &  ,    &  &   &  &  ,  & .  &''    ,   &  ''   &  & &   &  & &        , 2    &     & &  &          ,  &''   &  & &       ,  &''       &  &''       ,2   &  &''       ,   &   &    & & &   ''   & &  & &    , & &   &''   & &       2        & &                    '       & &       &  &''                       '   &    &    &     &  &       &        &                    & &     &   & &      &  &  ,   & & ,   .  &''              21  &  & &    ''''                 & &     '    &  & ''' ' , 2  & &   &   & & &  & &    &                 &                                 &  & & &    &  &  &   &  &  &   &  &   &  &  &  &  &  &  &  &  &        &  &  &  &  &  &  &  &  &  &  &  &  &  &     & &  &  &&    & & & &&  & && & &   &  &&    & & & &&  & && & &  &   &&    & & & &&  & && & &   &  &&    & & & &&  & && & &  &   &&    & & & &&  & &  &  && &           &  &  & & &&     &     &           & &&     & & &   &   &&  & &&     &  &  & & &&     &       & &&     &       & &&    &   &   & & && & & & &&        &  &  & & &&     &     &           & &&     & & &   &   &&  & &&     &  &  & & &&     &       & &&     &       & &&    &   &   & & && & & & &&        &  &  & & &&     &     &           & &&     & & &   &   &&  & &&     &  &  & & &&     &       & &&     &       & &&    &   &   & & && & & & &&        &  &  & & &&     &     &           & &&     & & &   &   &&  & &&     &  &  & & &&     &       & &&     &       & &&    &   &   & & && & & & &&        &  &  & & &&     &     &           & &&     & & &   &   &&  & &&     &  &  & & &&     &       & &&     &       & &&    &   &   & & && & & & &&        &  &  & & &&     &     &           & &&     & & &   &   &&  & &&     &  &  & & &&     &       & &&     &       & &&    &   &   & & && & & & &&        &  &  & & &&     &     &           & &&     & & &   &   &&  & &&     &  &  & & &&     &       & &&     &       & &&    &   &   & & && & & & &&        &  &  & & &&     &     &           & &&     & & &   &   &&  & &&     &  &  & & &&     &       & &&     &       & &&    &   &   & & && & & & &&   & & 2 & & & &&  & & & &&                         &   &                    & &  &    &  &  & & & 2     &  &&  & & 2    &     &    &   &  &   &  &    &     &  &   &  &    &     &  &   &  &    &     &  &   &  &    &     &  &   &  &    &     &  &   &  &    &     &  &   &  &    &     &  &   &  &    &    &     &    &   &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &    &     &    &   &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &    &     &    &   &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     &  &   &   &    &     & & 2  & & 2  & & &   &  &           &       &       &   &     &     & & ,  &.  &   &      &  & & & 2    &         &     &  ,  . &  &  &    & &&   &      &      &  &  &&    &  && &    & &&   &      &      & & &   &  &  &   &  & &&   &                             &   &,    & 2   &  &  & &  &   & &      & & 2    & &  &  &   & & & & &&-    &     &      &   &   &      &  & & & 2                              &   &      &  & & & 2  &    &      ,     ,  &. &   &  & & & &      &  & 221  &  & &   &  &    &  &  & & &  & & &       &  &  & &  &    &  &    &  &      & &      & & 2    & &    &  &    &  &     &  &   & & & & &&-    &      &  &    &  &     & &   &  &   & &     &            &     &   '      &     &   '      &     &   '      &     &  &  & & & 2  & &   &  &  & &  &   & &      & & 2    & &  &  &   & & & & &&-    &     &    &  &       &  & & &   &   &  & &   &  &    &  &  & & &  & & &      &        &  &  & &  &   & &      & & 2    & &  &  &   & & & & &&-    &     &       &    & & &   &  &    & &&     &      &      &  & & ,  &.     & & & &   &   &  &  &  & &      &   &,    & 221  &   &  &&      &   &,    & 221 &    &    &  &  &      &  & & & 2                                  &   &      &  & & & 2  &    &      ,     ,  &. &   &  & & & &      &  & 221  &  & &   &   &  & & &  & & &       &  &  & &  &    &  &    &  &      & &      & & 2    & &    &  &    &  &     &  &   & & & & &&-    &      &  &    &  &     & &   & &    &  &     &   &    &  '      & &  &   & &      & & 2    & &  &  , &   & & & & &&-    &     &       & &  &   & &      & & 2    & &  &  , &   & & & & &&-    &     &       &  & 2  &  & & &  ,.1 &  &  &   &   &  &  &  &   &  &    &  &   & &  &      &  & & & 2  && && & & & & & & & & & & & & & & & &  & &   &  &  &  &  &  &   &  &    &  &   &  &  &      &  & & & 2  &  & & & &  &  &  &  & & & &  & && & & & & & &  &  &     &   &      &  & & & 2   &  & & & & &&&  & & & & & &&&  & & &   &   & &   & &-   &  && &  &     &  &&   & & & ,.   &     & &   &  &  &       & & & 2      & & & 221  &       &  &   & ,     ,. &    &     & & & &   &  & & &  &  &      &  & &   &   &        & & &  & & & 2  & &   &   &  && & &     & & &   & & &   & ,  &   &    &   ,   ,.  &21 &       &    &     &       & & &  & ,  .  &   &  &   & ,     ,. &   & & & &   &   &  & & &  & &   & ,  &   &   &   ,   221 &       &      &        & & &  & ,  .  & & & &    &   &  &&  &       &  &   & ,     ,. &   &21 & & &  &  &      &  & &    &   &        & & &  & & & 2  & &   &   &  && & &     &       &      &        & & &  & ,  .  & & & &   &   &  &&      &  &   & ,     ,. &   & &   & &   &    & & &  &    & &   &  & &    &   &        & & & & 2  & &       &  &   & &     &   &         & & & & 2      &   &  &   & ,     ,. &   &   &  &   & &     &   &         & & & & 2      &   &  &   & ,     ,. &   & & &   &   & &       &  &  &&     &   &,     ,.21  & &  & & &   & &   & ,  &   &    &   ,   ,. 21 &       &    &     &       & & &  & ,  .  &    &   & ,     ,. &    &  & &  & &  && &   &  &&  &   &             &   &,    & 2 &  & &         & &  & &  && &   &  &&  &   &             &   &,    & 2 &  & &    & &  & &  && &   &  &&   &  &                  &   &,    & 2 &  & & &    && ,  &.  &  & &    & &  && &   &  &   & &   & '   , & &   &        & & &  ,. &   & & &   &  & & & & && &  & &      &  & &    &          &   &  &       &       & & &  & ,  . & & & &    &   &  && &       &  &   &  ,      ,. &   & & &   &  &   &      & & &                               & &     & &   &  &   &   &        & & & , . & &       &   & &     &   &         & & & & 2      &   &   &,    & 221                          & &    &      & &   & &   &  &  &  & &                                   &   &     &      &  & ,    &.  &    &   &,    ,.   &  &     &   &         & & & & 2      &   &   &,    & 221                          &  & &    &    &    & & & &   &                                   &                                    &  &   &      &   &   &      ,      ,  &. &   & &   &  & & & &  &   &   & &  & & & 2  & & &   &  &  &  &   &    &0                                                                & &  &                & & & &      &   ,  & & & & &      &    & & & & &  &   &   & &   &   &    &      &   &  & & & 2       &  &  &    & &     &   &,     ,. 21 & &     & &   &  & &    &   &        & & & & 2   & &           & .   & & & & &  &   &   & &   &   &    &      &   &  & & & 2       &  &  &    & &       &   &   ,       ,.     21   & & & & &  &   &   & &   &   &    &      &   &  & & & 2       &  &  &    & &        &   &    ,        ,.      21  &      & & & &      &   ,  & & & & &      &    & & & & &  &   &   & &   &   &    &      &   &  & & & 2       &  &  &    & &     &   &,     ,. 21 & &     & &   &  & &    &   &        & & & & 2  & &          &.   & & & & &  &   &   & &   &   &    &      &   &  & & & 2       &  &  &    & &    &   & ,     ,.  21   & & & & &  &   &   & &   &   &    &      &   &  & & & 2       &  &  &    & &        &   &    ,        ,.     21 & &  & &   & ,  &   &   &     ,   221 &       &   &     &       & & &  & ,  .  &           &   & ,       ,   .21 & & & &   &  ,  &   &   &    ,    ,. 21 &   & &     & &   &  & &    &   &        & & & & 2  & &       &       &   &     &       & & &  & ,  .  &             &   &       ,             ,   . 21 &   &       &   &     &       & & &  & ,  .  &    &   &,    & 221 & & & &      &    ,  &   &   &    ,      ,. 21 &   & &     & &   &  & &    &   &        & & & & 2  & &        &       &   &     &       & & &  & ,  .  &             &   &     ,            ,    .21 ,     . & &  & &   & ,  &   &    &   ,   221 &        &      &        & & &  & ,  .  & & & &   &   &  &&       &  &   &  ,      ,. &   &21     &  &  &&   &   &  &       &     &    &,   & 221 &     &    &,   & 221  &&      &   &,    & 221  &&      &   &,    & 221                                                    & &))))))))))))))))))))))  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *                                                                   & & *))))))))   *  *  *  *   *  &  *  &  *  &  *  * *    & )               &    *   &    *   &    *   &    *   &    *   &    *   &    *   &    *   &    *   &    *   &    *   &    *    & & & & & & &))))))   &   &  &  &  &    * ) )    &      ****                                         ******** &-   *           ** &-   * ,  & &   ,. &   &          & & & & & * &)))))))))))   *  *  *  *   *   *   *   *   *       *    *    *     )   )    &     &      )  *)*     &       &       &  )   &    )    & ** , )2     )  )    &     ) )    &  )    &     ) ) )    & )    & )   & & & & & &   &  & & &  & &     & &    &    ,  '' ,.   &  ''   & ,  &  '' 2    &    &    & 21   &  &    & &''   &  &          &  ,        &  ,       &  ,        &  ,        ,  &  ,  &  &  ,   &     &  & ,   &     &  & ,  &     &  &  ,  &     &  &   &          &     &-'      &      & 2    '''' 221    &   &  & & & & & &   &  & & &       &  & &   '' ,  &   ''    &     &  '' ,   &  & &  ,.  &   & '' ,       & &   & '' ,       & &   & '' ,       & &   & '' ,       &  & '' ,           &       &      &   &       &   &      &  '' 2  21     &  &    &     &  & & & & &   &   &  &   &&   &  & &-  &   &   &   ''    & & &&      & &  ' &-    & &  &&   & '     & &  &&              & '     & &  &&   &   & &     &  &  ,  & &     && & 2  &  & &    & & &  &   & & & && &&   &    &  &  &   & &  &  & ,  & & & && && 2  &  & & & 2  ,    &. &   & & &   &&  &  &  &&  & &   &   ,  &  '' 221  &  &  &&     & &   &    &&  & &   &   ,  &  '' 221  &  &  &&     &     & && &   &   & && &   & &  &&  &  &   & &&     &&   & &  & &&   &   &   &       & & & &  &  &    &    & & &    & &    &  &    &   && '   & &  &&   && '    &  &  &  &  &&     & &   &  & &&    &    & & &&    &   &        &&    & &   &  & &&    &    & & &&    &   &       &&  & &  & & &&   & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        &   &  & & &   &   &  & &           &    &   & &   &   ,  & '' 221  &   &&     &        & &&    &  &    &&    &  & &    &   &&  &&  &  &   & &&      &&  ,    &&   ,. &   &   &      & &    &      &          &    &   & &   &   ,  & '' 221  &   &&     &         & & &&   , & &   ,. &   & & & & &   &   &  &  & &  && &  & &&   &         &&    & &&   &  &  &  & &&   & &  &   & & &-  &  , & & &&    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &          & &  , & & &&    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &         && ,. &  &  &  & 21 &&   & & & &   &   &  &  &  &   &            &    &  &  &  &       &          &  &  & & & 2 &  &  & &  &    &             & &   &   & &     &  &   &     &  &   & & &  &   &     &   & & & &   &  & &  ,  &  &   &  ,  &  &  ,. &    &   & &      & &  &    &     & & & &   &  &      & '   & &     & , 2  &   & & & &   &   & & &  &    & &    & &&        &   & & &  &  &  &    & &&      ,, 2  & & &  & &    &        &  & & & & &  &   &  &    & &    & &&     ,    &  2 &   &  &       &                          &  &    &  &      & & & &  &   &  &    & &    & &&     ,    &  2 &   &  &     &                  &   ,   ,   ,  &. &           &            &  &   & &  &  &  & ,    &     &  &      &2   & & & &  &  &    & &    &&    ,    & 2  &   & &   &      &  & &  &  &   &   &   &       &  &  &   &   &     &  &    & &  &    & &     & &      &      &      && &    & & &   &      &  &    & & &   & & &  &   &     &  &   &  & & & & &   & &  &   &' ' &  & & & & &   & &  &   &' ' &  & & & & & & &   &   &  &   &  &   ,   ,  ,  &. &   &    &  &   &  &  &  &       & &     &  &  &  &    &        &    &      &   &    &  &   &    &  &  & & & 2  &  &   &   & &   &  &    &  &&     & &   &   &  & & & & &   &   &   &     &  &  & & &   &      &   &   & & &  &&  &   & &   & & &   &   &    &  &   &  & & &     &  &    &  &    &    &  &    &       &     &  &    &  &    &     &  &      &   &  &    &  &    &    &  &    &       &   &   &  &   & &   &  &     &  &  & & & &   &   &   &  &  &    & &   &   & 2 &   & &   &   &  &  & & &  &    &  &  &  &   &    &  &          &  &  &   & &  &  &  & ,     &2 &    & &    &  &   & & , &   ,. &   &  &    &     & & & &   &  & & &    &  &  &   & & ,  &  & & & , &  ,.  &  & & &   &  & &&    &   &.1 &  &    &    &    & & & &   &  &   &  & & &    & &   &      &  & & &    &   & & &- ,  &  & & & ,.  &   21  &    &    & & & &   &  & & &    &  &  &  &   & & ,  &  & & & , &  ,.  &  & & &   &  &    &  &  &  & & &&    &    &.1 &   &      &    &    &    & &      &         &   &  &   & -   &&    &  &   & -   &&    &  &      &    &  &    &       &   &   &  &   & &   &  &    &  &  & &   &     &  &   &  & & & &   &   &   &  &  &    & &   &   & 2 &   & &   &   &  &  & & &  &    &  &  &    &&    &  & &     & &'' &-   &    &    &       & &     & &    & &    &  &   & & , &   ,. &   &  &    & &     & & & &   &  & & &    &  &     &     &  &  &  &  &   &     &  &   &  & &   &     , & &  ,  ,  & 2 &   & &   &   &  &  & &&      & &    & &  & &  &  &    &  &  & &&     & &  & & & &   &  & & &    &  &     &     &  &  &  &  &   &    &    & &  & & &&-  ,       & ,  & 2 &   & &   &  &  &    &  &  & &&     & &  & &  & &     &  &   &&    &     &    &&   &   &  &   &&    &   &&   & &   &&  & & & &   & & &&   & & & &  & &  &&  & & & &  & &  &&  & &   &&  & & &  &  &&   & & & &  & &  &&   & & &  &  &&   & & & &   &      & & &&  & &     &     &   &  &  &  &  &       &  &   &  &  &  &   & &  & &   &      &     &  &   &  & &   &       &  &     &  &     &    &   &     &  &   &  & &   &       &  &,2  &     &     &    &   &     &  &   &  & &   &       &  &, 2  &     &     &    &   &     &  &   &  & &   &        &   &   &         &     &    , & &   &       &   & & 2 &   &  &   &    &   &     &  &   &  & &   &         &   &     &      &   &   &     &  &   &  & &   &        &   &     &         &  , & &   &       &   & & ,.  &  &   &21    &   &     &  &   &  & &   &    ,  &     &      & 221    &   &     &  &   &  & &   &    ,  &     &      & 221    &  , & &   &       &   & & ,.  &  &   &21  &  &   &  &       &  &  &   &   & & &   &   &  &  &  & &  &  & & & &  &  &  &&  &         &  &   &  &    & & & & &    &  &  &     &     &   &  & &  &  &     & & &    &  & & &    &  &  &  &&    &  &    & &   &   & &    &  &  &  &  &   &     &  &   &  & &   &         &   &     &      &   &   &     &  &   &  & &   &      &   &     &          &   &     &  &   &  & &   &      &   &     &          &   &     &  &   &  & &   &      &   &     &          &   &     &  &   &  & &   &        &   &     &      &   &   &     &  &   &  & &   &      &   &     &          &   &     &  &   &  & &   &        &   &     &            &   &     &  &   &  & &   &         &       &          & & &           & & &            &   &   &    &  &  &  &  &  &  & ' ,    &   ' &-    &    &  &   &  & &&&-         & 2  &                 &                 &  &   &   &  &   &  &   , & &     &  &       & & 2   2    &    &     &      )               & & & &   &   &  &  &  &  &  & & &&  &   & && &  '    && '  &   &  &&   & &  &    &  &  && , & & ,.         &21 &&         & &&  &&  & &   & &    &     &  & & &   &  & & &&  & &   , & &&   , & & && &   , &    &  & ,  &  '' 2 & &  ,.  21  &        &  &  &   & &&&-    &  &  & && & & && &      ,  &        &  ''  ,  &  &  &  &  &  &  &  &  &  ,  &     &  ,     & ''  ,  '  & & &&   & &&  & &  , & & &&    & & &  &      & & 2 & & ,  &&  , &  & &  && , 2 2  &    &    &    &    &   &                       & 2 &       &  & & &  ,   &.1 &  &  &   &  , &     &    &    &    &    &   &   &               & & ,  &.     &&  & &  & & &&         && &    ,   & & &  , &   &  ''     ,  & , .  &   & & & ,  & & &  ,.21  & & &    ,.1 &   ''    ,    &, &     ,    &,  &&21 &&  & &&   &' ,  2 &    & &     &  &,  &2          &         &  &  2   &  &   &   && ,  &  ,.21 &   &&  & &  , & & &&    &         &  &  2   &  &   &  &   && ,  &  ,.21 &    &  &  ,  &              & & & 2           &  &   &  & 2       &               &      &                         & & &  ,. &  &  &  & & &   & &      & & 2   & & ,  &  &  & & &  && ,  &2  2 &              &  & &  &     &  ,.       21 &       &&     &    & &   &   & & &&  &   & && &  '    && '  &   &  &&   & &  &    &  &  & &   , & & ,.   &        &      & &   &   &  & &   &  & & &       & & &-   &        & & & ,   .  &     & & & 2  &      &  &  &&    &  &      &  &    &  &  &  &  &     & & 2     & 2    &21        & & &   &  ,     ,  &. &   & & &    &   & &   &  &         &  &  2   &  &   &   && ,  & ,. &  ,                             &&  ,  &   21 &   ,.1 &  &    & &   & & & &  &  && &  && & &    &  &  &  &  &  &    & &   &  &  &   &    &   &    &  & &   &  &    &   &  &&   & &  , & & &&    & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &      &   ,  & &  &   & & &-  &  , & & &&    & &  &   & &      & & 2    & & ,  &  , &   & & &  && ,   &2   2  &      &   2 & 2  & &  & 2  & &  & &  , .1 &  &  &  &  &   & & & &   &   &  &  &  &   &       && &    &     & & &   &   &  & &     &  & &  && & &&    &  &   &  &  & &   ,   &2  &  &  & &   &   &,   & 2  &    &                & &       & &      &  &      &  &      &    &     &   &     &  & &   & &  &  &   &  & &  &               & &  &&     &  &      &       &    &    &   &   &  & &   & &  &  &   &  & &  &               & &  &&     &  &      &  &      &    &     &   &    &  &   & &   & &     &  &  &   & &  &  &  & & & &   &   &  & &    &  &  &  &   &  &  & &  &   &    &  &  &  & & &  & &   &  &    & &&    &  &          & &  &  & &  &  &    & &  &     &   &  &    &  &        &      & &    &  &  & & &   & &     & &'' &-   &    &       &          &  & &  &    &  &   & &  , & ,.  &21     & &  & & & & &   &   &  & & & &    &  &  &  &   &  &  &  & &     & &&   &     &  &,  & &    & &  &  &   &  & &  &               & &  &&      &2  &  &  & & & & &  &&    &  & &    &     &  &     &     &  &  & &  ,  ,  & 2 &   &  &       & &  &  &  &   &  & &  &               & & &     & &  & &     &     &   &   &  & &    & &  &  &   &  & &  &               & &  &&     & &   &  &  &  &       &   &   ''   &  &  &  & &     &  &  &&   &   ,   &2  &  &  &  & &  &  & &   '' &  &&    &     &    &      &   & & &  &      & & 2 & &  &  , & & & & & &-      &        &   & & &&  & & &  &      & & 2 & &  &  , & & & & & &-         & & &&  & & &     ,   . &  &  &  & & ,  &   ,    & & 2      2 &     &   & & &  &  & & & & & &-            &  &   &   &      &    &    &  &           & &   &  & & &  & &   &   & &   &   &   &   & &   &    & & ,.   & &   &  & & &  & & &-   &            &   &   &        & &    ,.       &  &   &   &    &   &      &  &   &   &    &   &   &  &  &       &&  & &  & & &&      ,2 &    &  &   &   &    &  & &&  & &  & 2  &     &  &   &   &    &   &     &  &  &      &&  & &  & & &&     ,2   & & &  &   & &   &     &  &  & &  , & &  ,. &      &    &  &   &    & &    &   & &   &  &      &&  & &  & & &&     ,2    &   &   &   &   &   &   &   &  &   &  &  &  &  &   &   &    & &  &  &               &   &   &             &   &   &      &   &   &    &  &   &  & &  & &   &        &  & &   &  & & & &       &  & &  &  &   &   &    &   &  & &    &     & & &  & & & 2  &  &    &    & &  &  & & &&  &  &    & & & 2    & &     & & &)))))))))   &  &  &  &   & &  &     &    & & &     &  &  & &   &     &  &   &  2   & &  & & &    *  *        & &    & &  &    & &  &  & & &    & & &  &    & & &  &    &    &!! &  &  ,! ,! ! !!!!!!!!!!!! ,! &  &       &!" &     &    & &     &    & &    & &     &  &   & &*  *   *       **   &     *   &     *    & &  &             & & &     & &             & & & & &  ,   & &  &.21  & &             & &    & & &  & & &  *  *  *  *   &  *   &  *  **  &  *   *   *  **    &   *    *    *    & &     &  &   & &*  *   *       **   &    *   &    *    & &  & &  & &              & & & &     & & &              & & & , &    & &  .21  &  &             & &    & &  &  *  *  *  *   &  *   &  *  ** &  & & &  *   *   *  **    &   *     *     *    &   & & &   & &    *  *        &  & & &    & &    &  &   & & &  &   )  )    *   *  ) ) & &))  & &    & * &  &  &  &)* * **  ))   ))   & )**  ))   ))    & & & &)))   &  & & &   & &  &      ) * *       &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &        &  &       &    & &              &    &   ))  & &     & &       &    **     & **     & **  **  & &     & &       *     &    &  & &   &   &  & &      & & 2 & &   &   &  & &      & & 2 &   &  & & & & & & & & & &  &    &    &   & & & 2 &     & &   &  & &  &    & &  & & & & 2 & &   &  & &  &    & &  & & & & 2 &   &   & -     & &   & &  & &  &    & & & 2    &  &     ))))) )    & &   & &  & &  &    & & & 2        &  & &    & &   &  &  &  & & &       & & &-   &        & & & ,   .       & 2 &      &      && & &      & & & &))))   &  &    &** &**)  &*  &* &  &)*    ) * ) *)   )  )  )    )  )  )  )    )  )      && &    &    &    &    &    &    &    &    &    &    &    &    &    &    &    &   &       &&     &&     && &   ) ))*   &   &    & &   &   &  &     &       &    &    &  &  & & &   &  & & &&  &  , &&     &  & &  &&  & &  &   &     &   &  & &      & &     &  & &  & & & && &   &   &   & &  &  &  &  & &&  &  & & &&  &  &2     & &  & 2  & & & &  & &  &    &   &  & &  , & & ,.  & &   & &      & & 2   & &   &  & &  &&   &             &   & &  &        & & & ,  .       &21 &   & & &     & &      & & 2   & &   &  &  & &  & & &&-   &   &          &   & &      & & 2   & &   &  &  & &  & & &&-   &   &     &   &  &        & &    ,.      & &   &   &  &             &  &  & &    &  & &  &      &  &   &   & & & 2 &    &&  &  &  &&  &  & &  & & , &  &&221  & &     &  & &  &      &   &   &     &  &    &       & &   &   &  &  &  & & &             &  &  & &    &  & &  &      &  &   &   & & & 2 &   &  &  &   & &   &  &  &  &  &   & &   & & &- ,  &  &  & &  & & &  & &    &,  ,   &2 & &  &&     &  & &  &&  &  & & &&  &       & & &  ,. 21 &  &   &    &       & &   &   & & &     &  &  & &   & &-  &    &  &  &  &  &  &    &      &  & &   & &&  & &  &  &  &   &      &  &  & & &  &&    &   & &  & & ,  &      &  & &       &&     &  & &  &&    &2  & &  & 2   &  &   &  & &  & &   &        &  & &   &  & & & &            &  & &  &  &  &  & &  & &  &  &    & &  & & &  &   &   &   & &  &  &  &  & &&  &  & & &&    &     &   & & & & &   &   &  & &  & &   &        &  & &  &  & &  & &          &  &  & &   & &  & &   &        & & & &      &          &        &     & & &  & &   &,  &  & & &                &       2  & &    &  &  &   & & &   &            &  &  & &    &  & &  &      &  &   &   & & & 2 &     & &&     &  & &  &&     &   &  &  &  &  &  &  &   &   &       &  &  & &  & & &  & &    & &,   & ,  &  &  &  &2  & & &  &      & & 2 & &  &  , & & & & & &-         & & &&  & & &  &      & & 2 & &  &  , & & & & & &-        &  &  & &   &   , . &  &  &  & &  ,  &   ,    & & 2      2 &    &    & & &  &  & & & & & &-        & &  & & &&     &   & & &   &   &   &  &  &   &  & &  & &   &        &  & &   &  & & & &           &   & &    & &  &  & &   & & &   & &       & &  &   &   &   & &  &   &  &  & &&  &       &    &  & & &  &    & &  & & &  &        &    &     &&     &  & &  &&     &  &   & &  & & &  &        &  & & & &     &    & & &)   &   & &  &    &  !  &  &  &   &  & &  & &   &        &  & &   &  & & & &         &   & &  &  &  &  *  &   * &* & & &*  &&      &    &  !   &    &  !  &    &  & & & &  !     !! !   &    &  !     !  &  &  &   &  & &  & &   &        &  & &   &  & & & &        &   & &  &  &  *  *   &  ***  & &  & & &   &* &*  &&      &    &  !   &  &  &   &  & &  & &   &        &  & &   &  & & & &       & &  & &       &    & &  &   & &  & & & &   &   &     & & &     & &  &  &  &  &   &&    &       &  &    & & & &&  & &  &   &      & &  &  & & &  &&    &   &  &  &  & &  &      &   &   &  & & &   &  & & &  & &              &  & & & 2     ! ,!   &  &  &   &  & &  & &   &        &  & &   &  & &  & & &       &   &     & &   &     & &     & &  &  &  &  &   &&    &      & &    &  & &  &     & &  & & &&  &   &      & &  &  & & &  &&    &   &      &  & &  &      &   &   &  & & &   &  & & &  & &              &  & & & 2     !  &    &  & & & &  !  &    &  !!"2    & &    ** & & & &   &  &     & &   &  &  &  &  &  & &  & &  &     &   &  &  &  &  &      &  & & & 2    &  &  &  &      &  & & & 2    &  & &  &  &  &      &  & & & 2    &,   &  &  &  &      &  & & & 2    &  & &  &  &  &      &  & & & 2    &,  & &  &  &  &      &  & & & 2    &,   &  &  &  &  &      &  & & & 2    &  & &  &  &  &      &  & & & 2    &,   &  &  &  &      &  & & & 2    &  &  &  &  &      &  & & & 2    &  & &  &  &  &      &  & & & 2    &,  & &  &  &  &      &  & & & 2    &  &  &  &  &      &  & & & 2    &  &  &  &      &  & & & 2    &  &  &  &      &  & & & 2    &,2  & &  &  &  &      &  & & & 2    &     & ,  &  '' ,.   &   & ,  '' ,.  &  &  &  &      &  & & & 2    &  &  &  &  &      &  & & & 2    &  &  &  &      &  & & & 2    &  &  '' 21  &  &  &  &      &  & & & 2    &  &  &  &      &  & & & 2    &   &    &  & &  ,  &  , .    & &  ,.  21  &  ''    &     &    &  &  &  &      &  & & & 2    &  &  &  &  &      &  & & & 2    &  ''    &   &  ,  &  &  &  &  &      &  & & & 2    &  '' ,. 21  &  &  &  &      &  & & & 2    &  &  ''   ,.  &   &  &      &  &               &  &  & &    &  & &  &      &  &   &   & & & 2 &    &     & & & & & & & & *))))))))))  &  &     & &   &   &  & &   &  & &  )       & &  ) )  )  *  *   * * * * *    ,  &    & &       & &       & &       & &    &)*  &)*  &)*  &)*    & &     & &   &  &  &      & &     &  &  &      &  & &   &  &  &  &  &*  &*   & ,  & &   & &)*   * * &* * * * *  & &* * * * * * * * * * *  &   , .    & &   & &)*  &*  & &*    & ,  & &   & &)*   * * &* * * * *  & &* * * * * * * * * * *  &   , . & 221  & & & 2 ,   & & & , . &     & &    & & * & &))   &   &  & )     &  & &  &)*          &    *  ))   *                 &    &     & &  &   &   & &   &  *  *  &  &  * *  * ** * *  ** )) *))) ) )))  * *  **  **  ) ** **      )***  ) ))    *    *   *  * *  **  **  **  ** ) ) )   & & & & & &  &  * &  & & & & &  &  *  &))))))))))))))  &  &   & & &&-  & & & &  & & &  &  *   &  &  &     & &  & &  & & & &   &   & &    & & & &    &    &   & & &  & &  &  &**  * & & *  ) )  )  &*  *   &  *  &  *  ) )    )) )   )        ) & &   &  &  &       *  * &  *   *  ) **   )  * * *  )   *  * )  )    )  *    *  )    **  *     **  *  ) &    ** *)*  ** *)*  ,   2 )   &  &  &     * & & &&*   &  &  &     & & * & )*   &  &  &     &   &*  &   &  &  &      & & &*   &  &  &     &  &*   &  &  &        &  &  &     & & & &  & &  &  & &   & & & & & &&  &    & &  & & & & &  & &  &  & &   & & & & & &&  &    & &  & & & & &  & &  &  & &   & & & & & &&  &    & &  & & & & &)))  &   & &   & & &-  & &   &   &  &  &  & &  & &   & &  & & ,  &  & & &  ,. &  & &  & & &  &  & & & &  &   & &  & &   & &  & & ,  &  & & &  ,. &  & &  & & &  &  & & & &  & &* &*  * * & *  * * & *  * * * *   &   &    & & &   & &   &   &  & & &  &  &   & &   & & &   & &      & & 2   & &   &&  &  & &  & & &&-   &      &  &    &      &  &     &  &       & & & & & &   & &      & & 2   & &   &&  &  & &  & & &&-   & &      &  &    &   &   &   &  &   & &    &    &  &  &        &  &  &      &  &  &    &  & & & & &   & &    &    &   &  & &   & &   & & &   & &  &   &   &    &    &   & &   & &    & ,   & ,2 &  & &    &  & &  & & && &  & & & &  , & &  & & &  ,  & & &  ,. & & &  , & &  & & &  ,  & & & &  ,. 21  & & & &))  &    & &   & ** * & &   &  &   &   & &  & & & &  &  &    & & & & &  &** -  & & &**** -  &  &  ,    &   2 &   &  &    &  &  &   &  &  ,  &  &  , &  &  2 &    &  *   &  & & &  &  & &  &  &  &  &          & &  & &    &  &   & & * &))  &  &  &    & &   & & & & & &&   &    & &  )) ) & &*   & &  & & &  &  &  &  & & & &   &   & & & &  &** -  &** -  &*  &*   & &   * &*  ,  &* , * &*  ,  &* , 2  &  & & & * &))  &  &  &    & &   & & & & & &&   &    & &  )) ) & &*   & &  & & &  &  &  &  & & & &   &   & & & &  &** -  &** -  &*  &*   & &   * &*  ,  &* , * &*  ,  &* , 2  &  & & & & & & &))))))  & &  &  & &   & & & & & &&  &    & & & &  & &) &  &  & &  &    &&  ***    & & & & &  &  &** -  &** -  &*  &*    &** -  &*    &  &  && & & & & & & &  & & & &      & & & & &  &  &** -  &** -  &*  &*    &** -  &*    & &  &  &  &  & & & & &  & & & &    &         &  &  &           &   & &    &*   & & & &&*** &  &*  & & & & & & **  &*   &  & &  & &   & &  & &   &  &       &  & &  &  & &   & & & & & &&  &    & & & &)  & *  & &  &  & &   & & & & & &&  &    & &  & &   & *  & &    & && *  &  & *   &  & *  & &   & *   &   & && *  &  & &  & &   & &  & &    & &    &    & &  &  &  & & & &  & &     &  & & &  & & & & & & && &  & & & & & & & & & &&     & & & & & & &  &  & & & & & & & &  &  & & & & & &   &  & & & & & &  &   ***  & &  &  & &  & &  &  &  & &      &  & &    &     &     &   &  &    &     &   &  & &   &     &  & &       & & 2  &     & & & &   &   &  & &    &  & & &    &  &       & &  &          & & & & &   &         &&  & &  & & &&                                &       & &   &&     &  &      & &  &&  &     &   &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  &   &   &        & & & & &   &  &  &    &     &   &   &   &  &    &  & & &  &&  & ,  &  &&  &    &    & &&-  ,  & & & &  &      & &  &  & & ,.        & 21  & &   &   & && &   &  ,  &   & ,.  &21  & &   & &   &   &  &  &  & &           &  & & &   & & &   &  &  & &    &  &  & &  &      &   &   & & & 2  &  &  & & &   &  & & &  & &              &  & & & 2         &  &  &  & &  &  & &  & & &  & & &  & &  & &  &   &&    &       &     &  &  & & &   &  & & &  & &              &  & & & 2      &  &   & &  &      &   &   &  &  & & &   &  & & &  & &              &  & & & 2     ,  & &  &  & & , &      & & & & ,  & &  &  &  &  &   &&    & ,  &   &  &  & &  & & &   & & , &      & & & & ,  & &  &  &  &  &   &&    & ,  &  &  & &  &      &   &   &  &  & & &   &  & & &  & &              &  & & & 2    2  &   &&    &          &            & & &   &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  &   &   &   &  &     & & &   & &              &  & &  &  & &  & & &              &  & & &    ,.  & &              &  & &  & & & & & & &))   &   &  & &  & & &  &    & ** * &  &  & &  &  & &  & & &  &  &  &  & &  & & & & & &  &  &   & & & &  &** -  &** -  &*  &*    & & &   * &*   ,  &*  ,  , * &*   ,  &*  ,  ,  2 &      &  &  & &  &   &  &         &    &  & & & &  & &   &  &  &  &  & &  & &       &  &  &  &           &  &  & &  & & & &))  & &    & &  &  &   & & &       & & & &  &  &   & & & &  &** -  &** -  &*    &*    & & &   * &*   ,   &* , * &*   ,   &* ,  2         & & & &  &    &    & & & & & & & &)))))   &  &*  &  & & & &*  & *  & *  )  & )  & &    & &   & & &-  & &   &  ))))  &*  &*  * *  * *  * * * *   &   & &   & & &-  & &   &    )  )  ),         ,  )  )  )2   & &   &* &* * *   * *   * *  * *    &  &     &    * *  * *  * *  * *   &   & & & & & & &)))))))))))))   &  &   &  &    &  &   & & & &       &  & & &   &   &    & & ,  & & &  ,.  & & 21  &  &  &  &     & &      &  &*  &  &*  ))   ))  &* &    & &   & & &-  & &   &  ))))  &*  &*  * *  * *  * * * *   &   & &   & & &-  & &   &  &  &        &   & & &-  & &   &    )  )  ),         ,  )  )  )2                          &  &  &   &   )  )  )  )  )  )  )  ) ) )  ) )    &'   )       )      )  )    &  )  )  & &   )       )         & )   )   )  )   ) ) ) ) ) ) ) ) &  &**  &  &**         &        &        &        & &    ** *    ** *    ** *   &  & &* &* * * &  * * &  * * & * *      &    ** *    ** *    ** *  &  & * * & * * & * * & * *      &    ** *    ** *    ** *  & )    * * & * * & * * & * *  & &   & & &-  & &   &    &  &     &    * *  * *  * *  * *   &   & & *))))  &  & &   &  &  &  &    &  & &  &  &   &  &  &  &    &  &  &     & & )  ** ** **) &   &* & & & & & & &* &*   * *   * *  & *  * *  * *   & , & & & & & &* &* &*   * *  & *  * *   * *  * *   & ,2  &   &* & & & & & & &* & *    * *   * *  & *  * *  * *   &  &   &  &  &  &    &  & & & & & &* &* &) *    * *  & *  * *   * *  * *   &  &   &  &  &  &    &  & & & & & & & &)))   &  &   & & &  &  &  &   & & & &   & &           &  &      & & & & &   & &  &       &  &  &    ,  &   &   ***     ,  &  &2  & & & &  & &  &   &  &    & &   & &  &   &    & & &   &   & & & &  &** -  &** -  &*  &*    & &   * &*   ,  &*  ,  , * &*   ,  &*  ,  ,  2 &     &  &            &  &  &  &  &   & & &       & & &-   & & & & &** **   &** **  &    , &   ,  '  &  &    &   &  &   &  & & & &   &        &  & &   &  & & & &       &  & &    &       2 &    & & & & & &  & &   & & &-  & &   &    )))  &  &  & &* &*  * * & *  * * & *  * * * *   &    & &   & & &-  & &   &    &  &   &  &    &  &  & & &   &   &  &  & &   ***  & &  ,  & & & , .21 &     &       & & &&&-      &  &     & & & & &   &  &   &    &  &  & &  &    &  &    &  & &    ** * & &  &  ,   & & & & &  , &  &  ,. &   &  & & &*  &* &                &   & & & & &)))   &  &  &  &  &  &   &  &    & &  &  &  &  & & &  &     & &   &  &   &  & &   ** * & &  & , &  & ,  &.       21   &  &  &  & &  &   *   *   &  &  & &  &   *   *   &  &  & & &   &    &  & &    ** * & &  &  , & &   & & & ,  & & &   ,.   &  21  &  & & & & &  & &         & &      &  & & & &  & &   & & &-  & &   &         &*  & &* * * & &   &* * * * & &  &** * & &  &** * & &  &**  &  &  &** & &  &**  &  &** * & & &*  & &  *  &**  &  &** & &  &**  & &*  &  &** * * *  &  &* * * * & &  &**  &* * & &  &** * *   & &   & & &-  & &   &   &  &  & &  &    &        & &*   &  & &   ***    & &  &  ,  &  & &  &  & &  &      & & & &  & &   & & &-  & &   &        * & &  &**  &* * * & & & & &**  &** & & & &** *   & &   & & &-  & &   &   & &  &  ,. &   & & & * & & &)))))))))))))))))   *  *  *  *   *  *    *  *  *  )    &    **     **     **   ) )    &     ) )    &  )    &  &  ''    &  &  & &  &   &  & ,   &  & ,  &  * &   *   * *   & & &  &   &  * &   *   * *   & & &  &  & && & &  &   &    &2      & & & & & & & &)))))))))))))))))))   &  &  &  &   &   & &         ****            ****   &  &  &  & &   &  &  &  &  &    ))  ))  ))              ))   ))   ))                   ** )   & )) )) )) ))  ))  ))    )  )    &  &     &   *   &   *   &   *       ) ) ) )  ,  &   *  *   *   *   *   *   *    *    *   *      *      *     *   *   *              & & ,.  &   &    &      *    *    *   *    *    *   *       *       *                       & & 21 & & & ,  & &  & & 2 & & &      ))  ))  ))              ))   ))   ))               ))  ))  ))              ))   ))   ))               ))  ))  ))              ))   ))   ))               & & & & & &  &   ))  ))  ))              ))   ))   ))              & &   & )) )) )) ))  ))  ))   )  )   &   &   *   &   *   &   * & &     *  *   *   *   *   *   *    *    *   *      *      *     *   *   *                    *    *    *   *    *    *   *       *       *                          & & &    , .    )  )  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &        &     & **      **      &         &       &  &  &   &      &    &         &  &  & &)))))))))))))))   &   &  &  &  &  &              ))  &  ))  &  ))  &  ))   &  ))   &  ))   &  &  &        ' &       &    &  &  && &  &  && &   )) ))  ))  ))  )) ))    *    *    *    *    *    *    *       *       *                        & & & 2 )) )) )) ))  ))  ))  ** **  **  ** **  **           &     ' &         & & & 2      &      ' &      & & &  &&  & &   &    *   &     *    *   &     *    *   &     *    &     *    &     *    &     *   & & & 2 &       & & & * & &))))))   &  &   &    & &    & &  & &   &    &    &   &    &      &  &    &      &  &  &  &    &  &   &    &  &,2    **     **     **      &                    *  &  *  *    *  ) )    & )    &  &        & & & & &    *    *              ) )) &  & & & & * & &))))))   &   &    &  * ) )  ))  * ) )  ))  * ) )  ))           *   *    *  )     *   *    *  )         *   *    *  )           &  & &  & & & & & * & & & * *)))   &  &   )*    )*      )*          &  &  &   &    &    &     *   *   & *    & *   ,         ,  &   &  +  &  &     &      &  &&  , ,         ,  &   &  +   ,      ,   ,  &      & &  ,  &      &  . &    &   &  &&  , &    &   &  &&  , &   &   &       &    &     &  &  &      &  &&  ,  &    &      &  + &   ,  &  & &   & *  & *.1 &   & & &    &    &  &  &  &  &  &  &  &   &   &       &       & &   &     & & &  &      &   &         &   & & &  &    &  &   & &     & &    &   &   & & & & &  & &   & &-      &  ,   &  & ,.   &                    &   & 21                     & & &)))   &   &  &     &  &  )) *   )) *  **  **   & &  & &  &    &  &   & & &  &  & &  &       &  &     & &   , &  ,   & . &    &, &    &   &   &,  &   &2  &    &  &  &   & & &  &  & &  &   &     &  &     & &  , &   ,   & . &    &   &   &, &    &,  &   &2    &  & & ,  &  &. &*  &*  )  )  &  &**  &  &**    &  &   &         &     &    &                        &   &    &    &  &        &  &  & & -   &  & &   &  &  & & -  &  &  &  &  &   &              & &   &   & &  &  &   &  & & & 2    & & ,  &     & & 2  &  &  &    &   &  .1    &  & &   &   &  & &    &  &  &    &   &    &  & & & &   &        & & & ,   .  &     & & & 2       &  & & &  &     & &   &   &   &    &    &   &  &  &  & & & &          , &  &&  & &  & & &&            & &  &        & &   &  &  &   &  &&  & &    &    &  &  &  ''  , .  &  & & & ,  & &. & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &      &   & &  , & &       2  & & &   &      &       &    & &   &     & & &     &  &  &  & &   &     & & ,  & & &  ,. &      &   & & & &     &    &    &  &   &  &  &  &   &     & & & &      & &  &   &   &   &  &' & &  &   &))   &   &  &  &  &  &   &       & & & &          &   & * & &*   &  & )) ) &)* **  *   &  & )) ) &)* **   &   & & & &   & & & &&- & & &  &   &  & &                             &   &  & &   &   & & & &   & & & &,2     &   &     &        &  &  &  &  &   &   &   &  &&   & &   &  & &   & &  &  & &  &  & &  &  & &  &  & & & & & & & & & & &  &   &                          &  &  &  &  &   &   &   &  &&   & &   &  & &   & &  &  & &  &  & &  &  & &  &  & & & & & & & & & & &  &  &                          &  &  &  &  &   &   &  & &  &   &                    &  &  &  &  &         &              &  &  &  &  &    &   &  &  &         &           ))  &   & & & &   &   & * & &*   & )) )  &)* **  *   & & )) ) &)* **    &   & & & &    &  & & & & & &    &  &    & &* &* &* &*  & & &   &   &       &                       &  &   &&  , & ,  & .  & &   &   & '    &   , &  &      &   &    &       &21   & & &   &   &&  & & & &     &   &   &  &  &  &  &  &  &  &  &  &  &  &  &   &     &&  &   &    &&   &  &  && &                                                                                                                                                                                                                                                                                                                                                                                                    &       && & & & & & & & & &   &   &    & & & & & &     & & & & & & & &  & & & &  &  & & &    &         &   ,  ,   &    ,   ,    &  ,       &                    . &  &     &   ,  ,   &    ,   ,    &  ,       &                    . &  &    &   ,  ,   &    ,   ,    &  ,       &                    . &  &  21 &  & & & &  & &   &  & & & & &  & &   &  &  &  & &   & & &  & &  & &   &  &  &  & &  & &  & & &   &  &  &  &  & &  &   &  &  &   &  ,    &   ,  & &  ,. &   &        &   &    &     & &&,2  & &    &  &   &  & & &&  & & & ,  &.  & & & & & & &    &      ,    ,   , & & & &  & &   &  & & & & &  & &   &  &  &  & &   & & &  & &  , & &   &  &  &  & &  & &  & & &  ,  &  &  &  &   & &    & &    &. &    &    &   & &    & &   &   &     &    &   & & & 2  & & & ,  &.  &   & &   &   &  &  &  &  &  &  &  &  &  &  &  &  &     &     &  ,    &   ,  & &  ,. &   &       &   &   &  &      &  & &  ,  &  '' 2 &           & & & & & & & & & &   &  &    &   &  ,      ,   &   ,    &  ,       &                    . & &  & & &   & & &   &  &  & &   &  &  &  & &  ,  & & &   &  &  &  & &  ,  &    &  &.1 &  &    &     & &&    , &  2  & & &  &   & & &  &   & & &   & & &   &  & &  & &   &  & &  & &   &   &  &   & & & & &&,!    &  &  &       & & & 2,!    &  &  &         & & & 2,!    &  &  &         & & & 2,!    &  &  &       & & & 2,!!"  & & & ,  &  &.  & & & &   &  &  &  & & &  &      &   & & &   &    & & &   & &    & &      &    &  &  & & & ,  & .  &  & & & ,  &.         &      &     &   &  &  &  &  &   &  &  &  && &  &  & &&  & &       & & &&  &  &  &  &  &      &      &  &        &   &    &   &  & &  & ,   .     &    & &  & 2  &     & & &&  &  &  &  &  &    &     &                  &    &  &    &   & &  &   & & * *  &   &   & & ****     & & & *    &             &   &   &   &   &   &   &   &   &    &  &    & & & 2  &  &    & & & 2  & &   &  &        &  &            &  &              &  &                &&    & &      ' &     &  &&      ' &     &  &&  &  &         ' &     & & & &            ' & &      & & * *))  & & &    &   &  &   &  &    &   &   & &   & & &   &  & &   &  &   &    *    &-  *    &-  '  '  &' &  &  &   & &   & & &-   *    *     **    *   ) & &  &  &        &  &  &  &  &  &  &  &  &  &   &  & &   &  &   &     &  &  &   &   &  & &   &   & &  &   &  & & &  & &  & &  ,  ,   &   & ,. &    & &   & & &-  & &   &     &          & & * *)))))   &     &    &  &  &             & &&   *      &   *      &   & & &**       *      &   *      &   &**                                & ))*    &*    &*     &           &  & & & *))))))   * & & &*  &*  & ))*  &*         & &*  &*   &   &  &  & & &   &    &    &    &   &&-   & &  *    ,   ,   2  &  '' 2   & & &  & &  & &   ,  ,   &   & ,. &   & & *   &  &  &   &  &  & & &   &  & &  &   & & -   &   & &     &   &  &    &     &  &    &   &  &    &     &  &                             &                        & & & & & &   &  &   &  &  &  &  &  &  &  &  & & & &  &  &     & & &  &  &  &      & & &  &  &  &        &  &    &  &       &  &    &              & &  &  & &   ,  &                          &  &    &              & &  & & &   & &-  &   &  & &   ,  &                        2  & & 2  & &)   &  & &    &  &   &    &   &-        &    &   &   &   &   &   &   &   & &   &*    **     &    &  ** &&- &  **     &    &  ** &&- &  **        & & & ,  & &  & & ,  & &   & & , . 21 &    & &  &  & & & 2  & & & & & &)))))))))   &  &  &  &       &    & &    & -   &   &  & &            &  & &  &)*   & &  &)*   &   & &  &)*   &    &    & & & 2 '   ,     , &  , &   ,    ,        &    &*  &*  &* &)*   & &*   & &*     & &*         &    &  & &*   & &*     & &*          &    & &*   & &*   &   & &*   &    &        & &*   & &*   &   & &*   &    &    & &        &  &)*   &  &  &*  &  &  &*          &*          &*                     ,!  &  &  &*  &)*   &  &  &*          &*          &*                     ,!  & &*  & &*  &) *            &  &*           &  &*                     ,!  & &*  &) *   & &*           &  &*           &  &*                     ,!  &) *   &  &  &*  &  &  &*          &*          &*                     ,!  & &*  & &*  &)*            &  &*           &  &*                     ,!   ,!"21 & &    *    *      *          *  *  * &          & *   & *   & *      & & & 2        &  *    &  *    &  *    &  *    &  *    &  *    &  &  & &  &  &  &     *  * & &           &  & &  *  *  & & -        &  & &  *  *  & & - & &   &**   &**  & & -     &     & & & 2                              *  * & &           &  & &  *  *  & & -        &  & &  *  *  & & - & &   &**   &**  & & -     &     & & & 2  & & & & &   &   &  &  &  &      &  &    &              & &  &  & &   ,  &                        2  & & 2  & & * * &))))))   & &    &     & *  & &   *    & *  & *   &  *   &  *   &   &  *   &    &    &   *  & *  & *   &  *   &  *   &   &  *   &    &    &     & *  & *   &  *   &  *   &   &  *   &    &    & ,  *  & *  & *   &  *   &  *   &   &  *   &    &    &,    & *  & *   &  *   &  *   &   &  *   &    &    &   & *  & *   &  *   &  *   &   &  *   &    &    &  & &              &2  & & & ,  .  & & & * * &))))))   & &    &     & *  & &  & &   *    *  & *   &  *   &  *   &   &  *   &    &    &   *  *  & *   &  *   &  *   &   &  *   &    &    &     *  & *   &  *   &  *   &   &  *   &    &    & ,  *  *  & *   &  *   &  *   &   &  *   &    &    &,    *  & *   &  *   &  *   &   &  *   &    &    &   *  & *   &  *   &  *   &   &  *   &    &    &  & &              &2  & & & ,  .  & & & * * &))))))   & &    &     & *  & &  & &   *    *  & *   &  *   &  *   &   &  *   &    &    &   *  & *  *   &  *   &  *   &   &  *   &    &    &     *  & *   &  *   &  *   &   &  *   &    &    & ,  *  & *  *   &  *   &  *   &   &  *   &    &    &,    *  & *   &  *   &  *   &   &  *   &    &    &   *  & *   &  *   &  *   &   &  *   &    &    &  & &              &2  & & & ,  .  & & & * * &))))))   & &    &     & *  & &  & &   *    *  & *   &  *   &  *   &   &  *   &    &    &   *  & *  *   &  *   &  *   &   &  *   &    &    &      *  & *   &  *   &  *   &   &  *   &    &    &  ,  *  & *  *   &  *   &  *   &   &  *   &    &    &,   ,  *  & *   &  *   &  *   &   &  *   &    &    &,  ,  *  & *   &  *   &  *   &   &  *   &    &    &,2  &  & &              & & & ,  .  & & & &))   &  &  &  &  &  & &  &   &  & &-  &   &  &    *& &     &,  &  &               ,2  & &  &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &   &  & &  & &   & & &   &  &  &   & &  ,  &  &  &        &   & &     &  &      &   &  &       &  &     & & 2  &       &       &  &    *& &     &  &             &   & &  &  & & & & &  & &   &  & & &   &  &  &   & &  ,  &  &  &        &   & &     &  &      &   & &     &  & &       & & 2  &  & & &   &  &  &   & &  ,  &  &  &        &   & &     &  &      &   & &     &  &       & & 2  &  &  & &              *  &    *   *   *  &    *   *   & &           *  * &*   * &*   &   * ,  &   &,  &   * 2  &  &     &  &  & &              *  &    *   *   *  &    *   *   & &           *  * &*   * &*   &   * ,  &   &,  &   * 2  &  &    &      & &   & &    &  &                &  & &              *  &    *   *   *  &    *   *   & &           *  &  * &*   * &*   &   * ,  &   &,  &   * 2  &  &     &  &     &      & & & 2  & &  &  &  &    &  &   &    &  &          &  &     &  &      ''  ,  &  &    *& &   +              +.1 &   &   & & &    &    &  &     &    &   & & & &   &   & & & &   &   & & & &  &  &      & &   & &  &   & &     & &  & &   &  &      & &      &    &    &    &  &   &  &   & & &   &   & &   & -   &  &   &  &  &  &    &            &  &    &       &&   &     &    &   & & &  & &       & &   &  &  &   &   &  &   ,2       & & &        &  & &       &     &    &  &   &  &   & & &   &   & &    &    & &    &   & &  &     &   &   & &   &           & &   &   &      &    &       &     &     &    &    &             & &    &   &  & &   & & && & &&      &    &  &,   &    &  &   &  &  2    &  &  &  &  &  &  & &  ,  & &         & & & & & &  & & &-    &   &  , &  &   &  &  &                   &   & &-  &              & &  ,. &   &  & '      & &  & &              &    &  &   &  &   &    &   &   &   &   &    &    &    &   &   &    &    & & &    &     & & & & & & &   &     &               & &     &  & &    & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &         & &  &          , 2  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-      &  &  & &  &  &      &  & & & 2    &   &  & &   &   &    &  &   &  &      &  &   & &-     &  &     & 2 &  & & & 2  &   &      & &   &  &   &  & ,   &  &   & &    &      &      ,        &   &      *  &   &   &  &  &    &      &  2        & &   &   &     &  & 2 &  & & & 2  & & &   &   &          &!!! &   & ,!!!  ,!!! &      & ,!!!!!  &  &,! ,!"  &  &     ,.1 &          &               &               &  & &    & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &         &  &          , 2  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-      &  &  & &  &  &      &  & & & 2    &   &   &  &&  &   & & &   &   &    &        &      &         &      &      &  &   & &    &       &      &&  &    &   & &-           &   & &    &         & &   &   &          &  &  2 & &   &   && ,  & ,.   &21    &'  & &   &   &' ,   & & ' , &  & &' , &&  & &  & & &&      &             &  & &    & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        &   &  & &  &          , 2  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-      &  &  & &  &  &      &  & & & 2    &    &2      &  & & &  &  &  & &   & &     &  &  & &      &  &     &  &              &  &   & &    &    & &         & &   &         &  &  2  & &   &   && ,  &  ,.  & & &   &    & 21  & &   &   &         &  &  2 & &   &    & & ,  &  ,. &              & &   &  &&  & &  & & &&          & &      & * * * & & &   &     &                    &  & &    & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &         * &  &          , 2  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-      &  &  & &  &  &      &  & & & 2    &   * & & & & &   &     &             &  &  &          , 2  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-      &  &  & &  &  &      &  & & & 2    &   & &    & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        &&  & &  & & &&    & & & & &   &   &         &  &  2  & &   &    & &  ,  &  ,. &    &   &  &          &    ,         ,      2   &  & & &     & &         &      & * & &))   &   &         &  &  2  & &   &    & &  ,  &  ,. &    &    &  &          &    ,     *    ,      2   *  *             &      & & &   &   &         &  &  2 & &   &    & &  ,  &  ,. &    &    &  &       &    &       &            &         , 2 &&  & &  & & &&          &      &   &         &  &  2  & &   &    &  && ,  &   ,. &   &  &   &   &  & &   &         &  &  2  & &   &    &  && ,  &   ,. &   &  &   &  &  & &   &         &  &  2  & &   &    &  && ,  &   ,. &   &  &   &  &  & &   &         &  &  2  & &   &    &  &&   ,  &   ,. &   & &   &         &  &  2  & &   &    &  && ,  &   ,. &   &  & &)   &   &  &         &  &  2 & &   &    &  &&  ,  &   ,. &   &  &    &  & & &   &    &  &  & &   * & & &      &              & *   & & &  & & &   &  & &   & & & &      &        & & &  &   & & &   &   &  &           &  & &    &              ,          ,       2  & & &   & &   &    &    &    &                 &            & *)   &   &  &  &           &  & &    &            ,     *    ,       2  *  &    *   &  *    &   & & & &      &              & *  &  *  & &      &              & *   & & &       &            &            *   &   & & & &      &              & *   & & & & &   &   &  &           &  & &    &       &    &       &             &         , 2 &&  & &  & & &&        &            & & & &   &   &   & &    &   &&  &  &      &   & &  & &  &  &&,  &  & & & ,.    &    &   & &   &  -  &    ,2 &  &  & &  & & &&       &    &    &21  & &  &  & &&   &      &  &   &   && & &  , && &      & & &  ,. &   &  &   && & &  ,  & & &  ,. &   & &   &     &     &       &   ' &   & & &  &&    &      &   & &    &    &    & , ,  &  &     &    & , , &      &  & &    & & , ,,2  &)   &   &  &    &  &     &       & & &  &  &            &  & &  & & & &      &       & ,!!,!   &!  * & & &      &              & *  & ,!  !" &   &   & &  &  &   & &  &  &   & &-  &&  & &  & & &&       ,2  &  & &   &  &  &  & & &   &&  &   &  & &  *    & &   &  ,  , &   & &  & ,  , ,2  & &   &  &     &  &     &       & & &   &         &  & &  *  &  & & &   &&  &     & &   & &  &, , &   & , ,,2    &   &   & &   &  & &  & &   & &  &  &   & &-   & & &   &   & & &&   &&  & &     &        &    &        & &  & &    &    & & & 2  &&  & & &     & &   & &     & &  &    &     ,  &2    & &     &      &  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  &      & &   ,!  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  &      & &   ,!  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  &      & &   ,!  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  &      & &   ,!  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  &      & &   ,! &  &   & &      & & 2    & &  &  , &   & & & & &&-    &     &    &  & &   !"  &  &   ,.1 &  &  &  &  &  &  21  &  & & &    &  &      &  &     &  & &      & & 2    & &    &  &      &  &     &  & &  &   & & & & &&-    &      &  &      &  &     &  & &  & &  &   & &  & &   &        &! &  ,      &,!  &  &   ,    &   &  &  , & & &  ,   &  &   ,.   ,,!  &  ,,! &  ,  &   &  ,,! &  ,  &   &  ,,! ,!!"  &  &   ,.21 & &   & &)   &   & &  & & &&    & & & &          &   &    &  & &       &   &       & & &   & &      & & 2  & &   &  , & & &  & & &-          &  ,  . &  & & &   , .1 &    & &      &     & &   & &  & & &  & &   * & & &      &              & *   & & &          &,   & &  & & &  & &   &          &, &   & &  & & &  & &   &&          &,,2  & & & 2       &    &   &    &     &  &   &   &  & &   &  &  &  ,     & & ,  &   &   ,,! & ,  &   &   ,,!! & ,      & ,!,!  & , ,!  &  &  ,     &   &  & , & & &  ,   &  &  ,.  ,,! !"  &  &    ,.1 &  & - ,  & &  & & &  & &  &&          &, & & ,2  & &  & & &  &  &  &  & & &  & &   * & & &      &              & *   & & & &   & & & &      &        & & &           &21  & & & 2  &    &   &        &   &   & & & &      &        & & & & &      * &      &  &&  & & &  & &&  & & &  &    & &           & & &   &  &   &    &    &  &  &  &  &   &  &  &  &                       &   & &    &          & &   &    &  &    &   & &    &         &  & & &   &&  &  & &  &   &   & &  &, , &   & , ,,2  & &  & 2  &    &  &  &   & &-           &  &   & &    &         & & & &   &  &   &    &    &  &  &  &  &   &  &  &  &  &                       &   & &    &          & &   &    &  &    &   & &    &         & &  & &   &  &  &  & &-  , &  & & &   &&  &  & &  &   &   & &  &, , &   & , ,,2  & &  & 2  &    &  &  &   & &-           &  &   & &    &         & &   &  &   &  & & &  & &   &  &  &  & &-  , &  & & & + & &   &&  & &   & + + &   & &  &+ ++.  & & &)   &   &  &  &  &    &    &  &  &  &  &   &  &  &  &                          &   & &    &          & &   &    &  &    &   & &    &         &  & &   * & & &      &              & *   & & & & &  & &   & & & &      &        & & &  &&  & &   &    & & 2 & &  &  , & & & & & &-           &  & & &  &      & & 2 & &  &  , & & & & & &-         & & &&  & &   &  &  &  & &-   & &  &  ,. &  &  &   &   &  &  &   & &-           &  &   & &    &        & &   & &      & & 2 & &  &  & & & & & &-       & & &  & & &&            & &  & &       & &  & &       & &      &  & &&  & &  & & &&         & &)   &   &  & &   & & & &      &        & & & & &  & &   * & & &      &              & *   & & &   &        &    &  &    & &   & &      & & 2 & &  &  , & & & & & &-          &,   & & &    &   & &   * & & &      &              & *   & & &, &   & & & &      &        & & &, & &   &, , 2  &       & &   & &      & & 2 & &  &  , & & & & & &-        &  &  &  &  ,   . & &   & &      & & 2 & &  &  , & & & & & &-           &2  &      ,   .1 &  &  &  &  & & ,  &  ,    & & 2       2 &   &    & & &  &  & & & & & &-     & &&  & &  & & &&            & & &   &  &  &     &   &  &  & &  , &  ,  &  &  &  & &  , & & &&    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &        . &  &  &   & &   &  &  &     &    & & , & & ,. &     &21 &  &  &  &  & &  & & &&     & &     & & &  &  &&       & & & &  &&  & & &  &  &  &   &  & & &  &   &  & &  &  & &&         & & & &   &  &  &  &  &  &      & &    &   & &        & & & & 2  & &   &  &     &    & , &  &   &    &  &     & 2 21 & &&  & &  & & &&               &  &   & & , &221 &  &  &  &  & &  & & &&         &  & & &&  & &  & & &&         &  &  &   & &          &  & & &&  & &  & & &&         &  &&  &&   & &    &  &    '' ,  &  &   &   , &   , &   ,   ,    2  &  '' 2 21    &       &   &      &  &,. &       &   &         &  &  2  & &   &   && ,  &  ,.  &  &  21 &       &   &         &  &  2  & &   &   && ,  &  ,.  &  &  21 &       &)   &         &  &  2  & &   &   && ,  &  ),.  &  * ) )21 &       &)   &         &  &  2  & &   &   && ,  &  ),.  &  * ) )21 &       & & & &   &  &  &  &  &   &    &           &  &  &  &  &   &  &  &  &  &   ,  &  &  &  & &  , & & &&    &                       &   & &    &          &   &     &   & &    &       & &  & &   & &  &  &   & &-    , . &  &  &      &  &         &    &   & &-           &   & &    &         & &   &  &  &  &         &  &,. & &       &  &  &  & & &  &      & & 2 & &  &  , & & & & & &-         & & &&   & & &   &     & & &  &      & & 2 & &  &  , & & & & & &-         & &  &   & & &  &      & & 2 & &  &  , & & & & & &-      &&  & & &  &      & & 2 & &  &  , & & & & & &-         & & &&    & & &  &      & & 2 & &  &  , & & & & & &-         &    , . &  &  &  &  &  &  & & ,  &  ,    & & 2      2 &    &   & & &  &  & & & & & &-     & &&  & &  & & &&            & &   &  &  &  &  &  &  &  &         &  ,  &  &  &    &   &  &  & & & , &  &  ,.  21 & 2      & & &     & & 2 & &  &  , & & & & & &-          &  &  &  & & &  &      & & 2 & &  &  , & & & & & &-      & & &&.1 &  &  &   & & &  &      & & 2 & &  &  & & & & & &-      &  & & &&     &   & & & & & &   &  &  &  &  &      & &    &   & &           & & & & 2  &  ''   & &  &  &  &        & & &&     &       & & &     & & 2 & &  &  & & & & & &-       &&  & & &  &      & & 2 & &  &  & & & & & &-       & & &&   & , &  &,.  & &  &     &     &  , &  &   &    &  &     &  221   & & &      & & &     & & 2 & &  &  & & & & & &-          &    &&  & & &  &      & & 2 & &  &  & & & & & &-      & & &&   & & &  &      & & 2 & &  &  & & & & & &-      & &  & & &&            & &  & &       & &   &  &  &  &&    &   &  &  & & & , &  &  ,.  21 &       & & &    & & &    & & & &   &  &  &   &        &    &  &  & &   &  &  &  &  &   &  &  &  &   &   & &     & & ,  & & &  ,.  21 &                         &   & &    &          &   &       &  & & & , & &   &&  & &   & &  &, , &   & , ,,2  &  & & & 2 &    & &&-   &  &  &   & &-           &  &   & &    &           &     & &  &  & & &      & &  &  && &      & &  &  & & &      & &)    **  &      & &)    **  &      & &)    **  &      & &  &  &  &      & &  &  &  &      & &  &  &  &      & &  &  &  &      & &  &  &  &      & &  &  &  &      & &    **  &      & &    **  &      & &    **  &      & &    **  &      & &    **  &      & &    **  &      & &      &      &  &  &       & &      &      & &      &      &    &      & &      &      & &      &      & &      &      & &      &      & &      &      & &   &      &    &  & &   & , , &   & &  &, ,,2   & &&  & && & & 2  & &   &      &    &  & &   & &  &, , &   & , ,,2   & &&  & & & && 2  & &  &   & & & &      & &  &   & & & &      & &)  * )   *  ) &      & &)   * )  * * ) &       &)  )* ** &      &)  )* ** &      &)  )* ** &      &)  **)*  &      &)  **)*  &      &)  **)*  &      &)  *** &      & &)  **  *** &      &)  *** &      &)  **)*  &      &)   ** &       &)  *** &      & &   & &    &   & &   &, &   * , & &   &&, , 2 &   &  &         &   & &  *  &  & & &  &&  & &   & & & 2 &  &       & &   & &    &   & &   &, & &   &&, &   * , , 2 &   &  &         &   & & &  && &  *  &  &  & &   & & & 2 &  &       & &))   &  &   & &    &   & &   &*, & &   & * )   & & &-     & -  &*,, &   *, ), )2 &  &  &          &   & &  &* &  * & &   & * )   & & &-     & -  &*, )2   & & & 2 &  &       & &))   &  &   & &    &   & & &   & * )   & & &-     & -  &*,, &   &*, &   *, ), )2 &  &  &          &   & &  * & &   & * )   & & &-     & -  &*, &  &* )2   & & & 2 &  &       &  & &     &   &  &)  *** &      & &   &  &    &    & & &  & &   & &  &  &   & &-  ,  & & &  ,. &     & &     & &&  & &   & &  & &  *  & &  &&  &       & ,   & & &  && &  & &  *   & & ,  & & &  ,  &. &     & &&  & &))   &  &   & & &   & * )   & & &-     & -  &*, &  &* &  * )2 &       & ,   & &  * &  &* & &   & * )   & & &-     & -  &*, )2 ,  & & &  ,  &. &     & &&  & &)   &   &  & &   * & & &      &              & *   & & & &   & & & &      &        & & & & &  &  &       & ,   & & &  & &   & & & &      &        & & & &   * & & &      &              & *   & & &  & ,  & & &  ,  &. &     & &&  & &   &  &  &  &   & &  &  & &  & &       & &  &  &       & &  &  &       & &  &  &       & &  &  &       & &  &  &       & &  &  &       & &  &  &       &   &        &   &    & &  &    & &       &  && &       & & &  &&  &&  & &  & & &&     & &       ''    & &   & &      & & 2 & &  &  , & & & & & &-         &  &  &  '' , .  &   & &   & &      & & 2 & &  &  , & & & & & &-        &  &  &  &  ,  .  & &     ,.1 &  &     21  &     & &   & &      & & 2 & &  & , & & & & & &-        &  &  &  &    ,  . 21 & &   & &      & & 2 & &  &  & & & & & &-       & &  & & &&       &    & & & &  & &       &  &   && &      & &  & & &   & &      & & 2   & &   &  &  & &  & & &&-   &      &  &    &       &&  & &  & & &&            &  & &   &   & &   &    &  &   &     &    & & & &    & &-   &  & & &                      & & &&&-     &   &                  & & &    ,.  &      & & & 2  &  & &      &   &   &       &                  &,  &,2  & & & 2  &   &   &  & & & 2  & &      &   &  &   & &      &   &   &       &                  &,  &,2  & & & 2  &   &   &  & & & 2  & &        &   &  &     &             & & , &.  &&     && &       &               &      & & 2 &   &   &    &  & & &   &  ,          &  &  & &  &   & &      & & 2    & &   &&  , &   & &  & & &&-      &  &  & &  &  &      &  & & & 2    &    & & & &    & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &         & &  &  & & &  ,. &  &  &  &  , &  ,   , 2  &   21 &   &  &  &  & &  & &  &  &  &  &  &  &  &  &  & & & & &  &  & & &  & &  &  &  &  & & &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &      && & &  & & &   &  &         &  &  2   &  &   &  &   && ,  & ,.  &21  &  &  &   &           &  &   &  & 2         &             &    &   &  &  &      &  & & & 2   & & & & & &))))))))   )  ) &  & &*  &*   &    ) )  &  &*  ) ) & & ,   &*    & & &*  &)*    )      & & &  & &  &   & ) * -   ,  &  &      &  &  &        &  ,  & & &  ,  & &  ,  &   &*  )  ,   ,   &    &  &  &  , .21 &  )  &*  & &   &  & & & ,  &    &  &   &   &  &*  & &  &,.      21 & &   ,  &  &  2  &  &   ,.      21 & & &            &  & &    &   &    &  &  &   &   &   &&  ,  & &  & 2 & 2 &  & & &  ,.1 &   &        &             & & , &.  && & & & & & & &     && &  & &   &  &    &  &  &  & & &  &      & & 2    & &   &  &   & &  & & &&-    &    &   &  &   &   & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &   &    &    &    &    &    &    &    &    &  & &     & &  &  ,. &  &   & & & & & &     & &    &  &        &  &   &   &   &      &     &             ,!             ,!             ,!             ,!               ,!           ,!             ,!               ,!  &  &  &!" & & &  &  & & * * *)))))  &  & &  &  &   & &  &    &  &  &  & &    &      &  &   &  *    &  *    &   & *    &   & *    &  &*  *    &  &*  *    & *    & *  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       & &  &           & & &  &      & & 2   & &  &  & & & & & &-   & &       &           & & &  &      & & 2   & &  &  & & & & & &-   & &          &           & & &  &      & & 2   & &  &  & & & & & &-   & &          &           & & &  &      & & 2   & &  &  & & & & & &-   & &          &           & & &  &      & & 2   & &  &  & & & & & &-   & &          &           & & &  &      & & 2   & &  &  & & & & & &-   & &       &           & & &    &  &       &  &     &      & & 2   & &    &  &       &  &     &  & & & & & &-   &    &  &       &  &     &   &  &      &  &     &  &   &  &      &  &    &     &  & & 2     & 2  &     &     * &))))   *  *  *                   *** *   ,  & & 2 &   &     *** *     &  *   & * &)))))   *  *  *                    *** *    ,    & & 2 &   & *     &    & &)))  &  *  &*   &*   )  )  )   *  &*   &*       *  &*   &*      **     ) &*   &    &  &     &         & &  &   ,  &   , . &   &        & &)))))   &   &  &    &  &    &   &  &  &  &*  &*  &* &*                  *** *     *  ,    *    & &  ,. &  *  *  *    &     & ,  &            &    & ,   &  &    &    &  2  & &  & 2    &   &  &  &  &  &*  &*  &* &*                  *** *     *  ,    *    & &  ,. &   &  *  *  *    &     & ,  &            &    & ,   &  &          &   2  & &  & 2  * & &))))))))))))))))))))))  * * * * * * * * * * * * * * * *  *     **             *    **            *     **            *    **              **           )  )                       &*     &  )    &  ) )  )     )     )    * )             * )        & & ,    *.   & &  &      &  & & & 2 )))  & &  &      &  & & & 2     &  )    &  )    * )  )     )     )    * )             * )        & & 2  &   &  &  &  &  &    & & & 2 )            & &   &    &        &          & & & 2   )   )   )   )  )  ) )         &      &  & & 2  & & 2   & & & &  &   & &  &   & &  & & & &    & &        &  & &  &,2       &  & &      &  &     &  &     &   & & & 2 &     &   & & & 2  & &   &  &   &  & &    &    &     &   &    &  &     &   &     &''   & & & &))    *  & &*   &  &  &  & *  &  & &**  &  & &**  &**  &  & &**  &**  &**  &**  &**  &**  &**  &  & &**  &   &  *  &  &*  &   &  &  & *  &  & &**  &  & &**  &  & &**  &**  &  & &**  &  & &**  &**  &**  &  & &**  &  & &**  &**  &   &  *  & &*   &  &  &  & &** *  &  & &**  &**  &**  &  & &**  &**  &**  &**  &  & &**  &**  &**  &   &  *  &  &  &*  &  &  &** *  &**  &  &**  &  & &**  &  & &**  &  & &**  &  & &**  &  & &**  &  & &**  &  & &**  &**  &   &  *  & &*   &**  &** *  &**  &  & &**  &**  &  & &**  &  & &**  &**  &  & &**  &**  &**  &   &  *  &  &  &*     &**  &** *  &  & &**  &**  &  & &**  &  & &**  &  & &**  &  & &**  &**  &  & &**  &  & &**  &    &)))))   &  &  &  &    &  &  &  & &  &  & &   &   &   &  &  &  &*  &  &*  &  &*  &*                 ***    * * ,  & &  ,. &     *** * * -  **                   &  &    &  &    &  & & &&-   & &  & &   &  & &    &   &     &   & ,  &     &   &     &''      &       ,2  & &   &  &       &       &  & & & 2  &  &  &  &  &  &  &  * &*   &*   )  )  )   * &*  &*       * &*  &*      **     &      & &  ,  & & &  ,  &  , .  &21 &    &    &      21  & &  & 2  & & 2 ))))   &  &  &  & &    &   &    & & &  & &    &   &   &     &  & & & 2  & & 2    & &       & &   & **    &   & ** -  &    &*  &*  &*  &*                 ***    * * ,  & & 2    *** *  *  **    & &-   &  &      &  &  &       & & & 221   &&  & & 2      &  & &    &  &     &  &  &         &&  &  &  &*)  &)    &  & & & 2 &   &&  & & 2  )))   &  &  &  &    & & &    &   &  &    & &&-   &     &  &     &  &  &   & &  & & && &-  &   & &  &   & &  & & &  & , &        &  & &  &       &  & &      &  &      ,2  21         &&  &  &  &*)  &)    &   & & & 2  &   & & 2  &    &  &   &   &  *  & &    & &** -*    & &** -  & &*  & &*  & &* , &   & &  &   & &  & & &  & , &        &  & &  &       &  & &      &  &    &       & &-   & & &-  & &   &      & &  &  &                &  &     &  &     &  &  &    &  ,  ,2  21  & & 2      &  & &   &  &  &  &  &  &  &  &  &  &     &  &    & &  &     &  & & &   & &-   &    &  &  & &  & &  &  & &  & &  & &  &    &  & &    &  &    ,      & & &   & &-   &   ,  &  & &  & &  &  & &  & &  & &  &   ,  & &   ,  &. &     &   &  & &   &  & &   & & &-  & &   &     &  &  &  &  &  &    &  &     &  &  &  &   , &  &  &  &     &     &   &  &  &   & &  & &  & &     &  &    &   &  &   &  &  ,  &  &  &  & & &  &  &  & &  & &  & &     &  &    &    &  & & & &  2  & & 2 &    &         &    & & &   & &   &   & * * * *   &  &  &  &        &   & & &-  & &   &        & &  &  &  &  )   )  )     )  )   )    &       &  &     &       &  &      & * &&-    & * & * & * &-  &  &  &  &     &     &   &  & &  & &  & &     &  &    &   &  &    & & 2 &       &        &    & & &   & &   &    &   &  &        &   & & &-  & &   &       &       &    &  & &  &  &  &  &     &     &   &  & &  & &  & &     &  &    &   &  &    & & 2        &  &          & & * & &)   &  &                  &  &  &        &   & & &-  & &   &   )             , &  )             *   & & & 2 &  &        &   & & &-  & &   &    & )      )*       & & & 22       &   &  &  &  &   &  &   &  ** &-   &  ** &-   &  ** &-    &  ** &-  &  **   &  **   &  &  &  &     &     &   &  &  & &  &  &  &  & &  & &     &  &    &   &  &   &  &  &  & & &   &  &  &  & &  & &  & &     &  &    &    &  & & & &     & & 2 &         &    & & &   & &   &   & & & &   &  &  &  &  & &   & & &-  & &   &   &     &  &    &             &   *     &   &                &   &    &   &    &   &              &  &  & &  &  &  & &    &  &            &  &                &  &   &    &  &   &    &  &      &     & &   &  &  &  & &  &         &  &      &  &  &      &     &  &  &  &  &     &  & &  &  & &  &  &  &  &  &  &  & &   & & &   & & &  & &   & & &-  & &   &   & &  & &     &  &    &   &  &    & &    &  &  &  &     & &&  & &   & & & &  &   && &   & & &-  & &   &   &   & &  & &     &  &    &     &  & &  &  & & &  ,  . & &   &   && &   & & &-  & &   &   &  &   & &  & &     &  &    &   & &  &  &        &   & & &-  & &   &    &      &  &   &  &  &  & &  &         &  &      &   &      &    &  & &  & &  & &     &  &    &   &  &   &    & -   & & & 2    & &   &  &  &  & &  &         &  &      &  &  &  & &    &   & &  &  & &   & &    & &  & &     & &  & &    &   & & &   &  &  & & & ,    &.  & & & & &)))  &      &  &  &  &   &  &  &  & &  &  & &  &  &   & &   &     &  & &&  &  &   &  &    &   &  &  & &  &       & & &   &   &   ,. &  &  &  & &  &  & &    !      &  &  &  &   &  &  &  & &  &  & &  &  &   & &   &     &  & &&  & &  &   &  &    &   &  &  & &  &       & & &   &   &   ,. &  &  &  & &  &  & &    !  *  &*   &*   )  )  )   *  &*   &*       *  &*   &*      **  *    &  &   &  & &    ! &    !  &  &    & &  & &  & &     &  &    &   &  &  !    & &&-  &   &     &  &  &  & & &  &  &  &  &  & &      &   &     &    !!  &  &  &  &   &       &  &***   &  &  & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &         & & &  &  &        &  & &      &  &  &  &   &     &  &   &   &     &    !  &  &    & &  & &  & &     &  &    &   &  &  !     &  &     &   &      &    ! !"2 &   &   &  &    &  &   & &      &      &       & & 2   & &       & &   &   & & & 2   &       & &   &   & & & 2   &   &  &  &    & & & 2    &  &    & & & 2    &   &  & & &   & &      &      &       & & 2  & * &)))   &   &  &  &  & &  & -  & &-      &      &       & & 20                         ) &*  )     )           )        & & & & && & & & && &**  &     ))) *     &    & &  & & &         &  &     &     & &  & & &       &    &  & &   &  &     &     &   & & &-  & &   &      ) )  & * &  &  &  & &  &  &  & ) , ) ,       & & ,  &,  ,2 &  &     21  &  & &      &     & &  &      & &  &                               )))) &   *  *  *)  &)* &)* &)* ) &)*   )  &  &  & &           &     & &  &       &     & &     & &   & &   &          & * &   &  & &      &     & &  &       &  & &      &     & &  &  )*             &  & &      &  &        & &  & &     &   &     & &     & &  &      &                            &           * &)))))   &  &  &  &  &  &  &  &  &  &  &  &  ) & & & & )   &  & & &   & & &  &   & & & &      &    &  &  &  &    & & & 2    &     &     &  )  &  )  &  )  &  )  &  )  &  )  )  )  )  )  &  &                         )  )  )  )  &                        & &  &     &  &   & &  & 2      & &     &      &    &&     & &    & ** ,,  &  & & , &  & &  *  &  &      &** &-*   *  &  &* ,  &* ,  &* ,  &* ,2  &   & ,    ,2  &  &     & &   ,  &  & &    &   &     &   &   ,  &     &   &     &''   ,  & &   '  2  &    &   & &  &   & &  & & & &    &   , , &        &  & &  &  & , 2 &        &  & &      &  &        &     &    &  &&     ,  & , & &  &   & ,21    &  &&     , &   & ** ,  & ** ,  &,  &*  &*  &*  &*                 ***    * * ,  & & 221   &  & &  21 &    &&  & & 2 & &   &        &           & &    &                 &   &  &   &  & &   & & 2 & &  &   &  &  & ,  & &  &  &    &   &  & &    &   &     &   & ,  &     &   &     &'' ,2  &  &&     ,  &  & & ,21  21  & & 2 &  &    & & &                & &      &  &     & & &    &&   &  &  &   & ,,  & ** ,, &   & ** ,  & ** ,  &*  &*  &*  &*                 ***    * * ,  & & 2  &,2   &  &*** ,  & ,  &  &  & & &  &  &  & & & , 21 &    &&  & & 2 &         ) & &    &  &  &  )  &  & & &   &*  )      & &    ,    2  &  & & & &     ,    )   )   )        &'      &  2 &   &  )   &    &* )     & &  & & &    &             &         & & & &     &   )))   &    & & &   & &  &  &    &))) *     &))) *  )    ) )    & & ,  &.  & & ,  &.    &  &    &    &            &  &    &))) *    )   & & ,  &.    &  &    &    &              &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &   )*      )*      )*      )  )  ) * * * &  *   *  *  *  *&  * )      )  )  )  ) *   )     )  )  ) *   )  )     )  ) *      &  &     &      &   & &2     &'                     &    &  &            &))))   &  & &      &&   &    &&      &  &  &  &   &    & ** ,,  &   ,   &  & & , &   & ** ,  & ** ,  &   ,  &*  &*  &*  &*                 ***    * * ,  & & 2   &  & & ,2   &  &*** ,  & , & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &         & 21 &    &&  &  ,.1 &  &          &    &  &  &    & & & 2    &        &  )  &  )  &  )  &  )  &  )  &  )  )  )  )  &  )  &  &                         &  )  &  )  &  )  )  &                  &     &  &  &  &  &  &   &           &   &   &  & & & 2  &       )   &           )  )  )  )  )  )  )  & &    &   &   & & & ,.  &   &  &   &  & & & 221 & &  ) &   & & &   &  &     &         & &   &   &  &    &  & & & 2 &    &      )   )   )          & &   &   &  &    &  & & & 2 &   &'       &         )  &        & 2   & &         & &))))   &  & &   &      &   &  &       &        & ** &&-   &*  &* &* &*                 ***    * * ,  & & 2    *** *  *  **    ,    &   ,         &  *  &*   &*   )  )  )   *  &*   &*       *  &*   &*      **       &   &     &   & &  &  ,  &  , .21        &  &    &21  & & & 2  & &  &   &*      &*   & &  &   &  &    &  &     &     &   &   &  &    & &  & &     &  &    &  &  &  & & &  &       &  &  & &  & &  & &     &  &    &  &  & & &    &  & & &  &      & &))))   &  &   &      &   &  &       &  &    &    &       & ** &&-   &*  &* &* &*                 ***    * * ,  & & 2  &  & &  & &   &   &  &   &          & &  &**    &  &   & & &       &  &  &21  & &  & 2  &       &  &   &   &  &     &  & & &&-   &   &  &   &          & &  &**    &  &   & & &      & , 2  & & 2  &  & &  & &   &  &  & &  & &   &       & &  & &   &  &   &   &   &   &   &   &   &   &   &   &       &&     && &   &   &   &   &   &   &   &    & & & & & & &   &  &  &  &  &  &  &  &  & & & &  &  &    & &  &  &     & &   & & &    &        &  &  &       &    &    &  & & &   & &-   & ,  &  & &  & &  &  & &  & &  & &  & ,  & &   , &   ,2  & &   ,.1 &   & & & & & &    &  &  &   &  & & &  &  & &  &  & &   &  &        & &      & &  && & & &   & &      & & 2   & &   &&  , &  & &  & & &&-   &   &  &    &    &    &    &    &   &    &  & &  & &  & &    & && &  ,  & & &     ,.    & &  & & , .  & & & &       ,     &   &  &    ,  &   ,  21 &    &   &   &    ,  &   ,2  & & &  ,. &  &        & &     &  & &  && & & &   & &      & & 2   & &   && , &  & &  & & &&-   &   &  &    &    &    &    &    &   &    &  &    & &  & & &  ,.  21  & &  && & & &   & &      & & 2   & &   &&  &  & &  & & &&-   &   &  &    &    &    &    &    &    &   & &))   &   &    &   & &    &  &  &   &           &      & &   &  &  &  &  &  &  &  & '  &   &  &  &  &  &  &  &  &   &  & &   &  &  &  &  &  &  &  &  &  &  &  &  & &  & &   & &  & &  &  &  &   &  & &  & & &   & &  & &  &   & & & & &   &   & &  & &    &  & &      & &     &    **   &    **    **  ,  &                ** *    ** *    ** *  &     **    **     **  ,  & &   &&  *    **    **     **     * ,       &,    *        &2  2  &  &  & & & &  &        &      ,  , 2 &      & , ,  &        &      ,  ,  ,    ,   ,2 &    & ,  &  &       & &  )* &       & &  &   &    **   &    **    **  ,  &               )*  )*  )* ) &   &&  *  &    **   &    **       ***  ,  &                )    *  *  *     *     *     *     *  &2  & &  &   &   &   &  &   & &    &  &    &  &  & & &  & & &  ,  & &  &  & & ,      & &     &,   &  & &  &  & &      &  & &     &  &,2  & &  & 2     & &21        &  & & & &  &  &  & ,  &  &  )* ,2  &  & 21 &   &   &        & & &   & &    &    &   & &  & &      & &  & &       &  &   & &  &  &    )* &-      & & &&-      &       &    &  &   & & &     &  &  & &  & &      & &  & &     &   & & &    &  &  &   &-     & & &&-      &     &   &  -  &       & &  &  &  &  &       &               &  & &  &     &   &  &  &  &  &   & &  &   &    &  &    &  &           & &  & &         &   &   &   & &  &    & &  , &  & &.   & &         &&&-  &  &  &  &  &   &   &  &  &           &   & &  & &     &  &    &   & ' &   & & , &  & &.21 & 2        &  &           & &  )* &     & &        & & &  &  &  &     &     &      &   & &!!   & & !   & &   & & !   & &  &  & &      &   & &     & &  & &  & &     & & &   & &   & &   &   & &     & & ! !" &   ))))  )   )   )                              & & &))))       &    &&    & &   &  , ,  & ** ,, &   & ** ,  & ** ,  &,  &*  &*  &*  &*                 ***    * * ,  & & 22   &  &*** ,  & ,  &21    &&  & & 2 &     &      &'                      &   &  &    &     & &   &  &  &  &  ''  ''  &  &  &  ''   ,  ''  ,   &  &   &  &  ''   ,  ''  ,  &  & & &   , & &  ,  &  &  &  &       &  &       &  &       &  &                    2  & & & &   &  )  )**  )*   &  & &      &  & &     & &,  & 2 &  )*  )*  )*   &  & &   &     &  & &     & &  &  &  )*    &  &  )  )**  )*  ,  )   )   )        & &      & &2  &              &              & & & & &))))  &   &     &       &       &      ** &- )  *    &     & &  &  * )   &  &      *      & &    &                & &  )      )   *         &      & &    &   & & ,  & & &  ,. &      &  & & &  & &       &   &       &        &  &  &   & & &   &  &  *  *   *   *    **    *  &   &  *    *  *     * ))) *            ,  &  * &   &   *    *  *  *   )  ))) *         ,  *    *  *     *)            2  &  &  &              & &   &   & & ,  & & &  ,.  & & &   & &    &,21  &     & &       &     & &  & & & &)))   &   &              * )  &*  ** )) **  *   *      &  *     *   &  *     *   * &   &   *    **     **    &  )*      & & )  )*  )*   &     & &  &  &      )*  )*  )*   &     & &  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 &  &     &     &  & & & 2  ,!  &  &     ,!  &  &      &    &    &  2  &  &  & & &   & &-   & &-   & & & &  &      &     & & &       &   ,      ,!  &  &      &  &      &  &  & & &   & &-   & &-   & & & &  &      &     &  & & &        &  & & &&  &  &  &   & &  ,! !"21  &  ,.21  &  &&  &           &    &   &  &   &  &  &           & & & & & &   &  &  & & &    &  &   &  &'    &  &          &     &  &         &         &  &    &   &   &    &   &  &      &    &    &  2  &  &  & & &   & &-   & &-   & & & &  &      &     & & &       &   ,      , &   & & '   &  &    &  &       & & & 2 2  &  2  &   &  & &  &  &  & & &   & &-   & &-   & & & &  &      &     &  &   & &     &  & &  &  &&  &         &     &    &    &  &    &  &   &            & & &   &   &  & & & &   &   &  &    &   &   &   & , &  &  &  &   & &-        &  &     &2       &     &              &  & &   &    &   &  & & & 2  & &   &  & &   &    &  &  & , & &  ,. &      &  &      &    &     &    &     &        &    &    &             & &              & &              &  & &   & -   , & &  & &    , && &    2  & &  &   & &-    & && &  & & & &  &      & & 2   & &  &  &  & & & & &&-   &   &  & & &&  &    & & &   &  &      &   &  &   &  & & & &   &  &   &&    &    ''    &   &   ,  '' ,. 21  &  ''    &   &   ,  '' ,.21  &  &   , ,     2 & &   &   && & 2 & &        &  & & & &  & & &-  &      & & 2   & &  &  &  & & & & &&-   & &      &     & & &   &    & &             &   &          & &    &  &  &  &  &  &    & & & 2 &    &       & &     &       & &   & &     &       & &   &    &  &  &  &  &  &  &  &   && &       &        & &  ,                       & & 2 &   & &            &   &   &     & &  & &   & &  &    &   & &)   &   &  &  & &   &   & &  & &      &  &  & &  & &  &    &   &  &   &     & & &  &  &   & & ,  , & &           2  & & &    & &  &   &    &   &'))*      &   '))*           &              &      &  &  &  &  &  &  &  & & & & & ,    & &   & &   &  &  &  &                      &   & &-  &            &  &  &  &  &  &        &  & &  &  &&         &  &  & &&  &  &  &  & &-         &  & &  &  , &  &   & &-        &  &    2 2 &   &  &  & & &     &  &     &    &   &   &   & &   &   &   &  &   ,      &  &       2  & & & 2       &  &&     &     &   &   &    & & &  &    &  & &   ,   ,2 & &  & & &   &&        &   & &  & &        & & &    &  &   & & & , &.21 & &  &     &   &  &  &    , &  & &     &   &  & & &  & & , &   & &  2     &2     &   & &  & &        & & &   &  &    &          &   &  &      &  &   &             &  &     & &   &    &   &  & & & 2 &  &   & &  & &         &   &   &   &  ,!   && ,!   && ,!   & ,!   && ,! !"  &      &&     &&     && &    &&    &&   &   &   &     &&   & &     &&  &     &     &     &     &   &  &&  & &&   && & &   &  &    &  & && &  & && & & 2  &     &       &&       && &&  & & &  &  & & &   & &      & & 2   & &   &&  , &  & &  & & &&-    & &      &  &     &  & &            && && &  &  ,. &  &    &   &   &   &&  & & &   & &      & & 2   & &   &&  , &  & &  & & &&-   &      &  & &  &   &   &&     & &  ,. &  &  &&   &   &&  &  &   &  & & &&  & &  &  &&       &  &&  & & & 2 &&  &  &  && & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        && &&  & &  && &   &   &    &     &   & &&  & & &      & &&  & &  & &  & &  &  & &  & & &-  &&  &  &&        &&     &   & & & 2    & &&  & & &   &   & &           && & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        && &  & && & &  &    &  & & &  , & & 2 &  &  & & 21 &     &  & &  &  & &  & &              & & & &    ,.     & &&  & & &   & &&  & &   & &  & & ,  & & &   ,. &  & &&  &  & & &&  &  &&       &  &&  & &&  & &   &  && & & & & & &-                  &&  &  && && & & & & & &-     && &&   & &&  &&  & & &   &   &  &          &  &   &  &   & &&      &  &         &     &&   & & && , &  &  & &  ,. &   & &&  &  &  &   & &&  &  &   & &&  &  & & & & &  &  & & &  &    & &  & & ,  & & & ,.   &  &  & ,    &&  & &  & & &&     ,2    &  &    21 &    &&  & &  & & &&     ,2        &  &  &  &  &  &   &  & &&,   2     &       & & & &   &  &  & &   & & , & &   &  &  & &    &  &        & &  &  & &  &  & & ,                    2 &  &. &    &            & &      &  &  & &     &   &  &  & &  &      &  &  & & & 2           &   & &  &  &    &  & & & , & & ,.      21      &2    &  &  &  &  &  &  & &          &   &    &  &  &  &  & & &  , & &   & &  &    & &  &   & ,  & & &  ,. 21 & &   &&   &&             & &  & & & &  & &  &  & & & &   &  & &     &         & & &  & &       & &   &  &  & &   &  &  & & &    &    &  &   &   &  &  &  & &  &   & &      & & 2    & &   &  , &   & &  & & &&-      &  &        &   & & & 2   &    &  & &   &  ,.1 &  &    &   &   & & & &    &  & &  &    &    & & & 2 &       &   & & & & &   & & & & & &&  &   &   &  & &   &     & &   & &    & &    &  &    & &  &     &  , & &    &   &  &  &   &   & &  &    &  &  &  &&   & & &  ,.  &   & , &   &  &  &   &   & &  &     &  &  &  &&   & & &  ,. 21   & &  , .  &    & & 2 & &    &   &   & &  &    &  &  & & & 2     &  &    &  &   &   &     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 &   &          & & &   &  &  &  &  &  &  &&  &  &  &  &  &  &  &&     &  &         & & &&- & &   &  & & & & &  &   &  & , & ,       2  & & & &     & &   &  &   & &  &  &    &  &&    &  &&  &        ,    &  &&  &    ,  &,    &  &&  &    ,    &  &&  &        ,  &  &       ,2          & & ,  &  '' ,.  &    && ,  '' ,.  &         &  '' 21          &    &  & &  ,  &  , .    & &   ,.  21  &  ''        &  &&  &      ''    &    &&  ,      '' ,. 21     &  ''   ,.  &   &  &    &     &   &  &    &     &     &     &   &  &  &  &  &                              &  &   &   & &  &   & &  &    &   &    &     &                      & & & &)*  & &  &  & & &-''    &  &  &     & & 2   &   &         &  &  2  & &   &    &&  ,  &  ,. &    &  & & &     &   &  &  &     &    &                &          &     &    &                &              &   &              &                   &            &   & & &   &   &  &  &  &  &  &  &  &     &  &  &     & &         & &         && &              &&  & &          && &      &  &   &    &  & &     &&  & &         ,!  & &      &&  & &          ,!  & &      &&  & &          ,!     && &      ,!     &&  & &         ,!     &          & &  & &      ,!     &&  & &         ,! !"  & &  & , .21  &  &  &         , 2  &  &    & & & 2     & &    &     &     & &    &    & '' & ,    & &    &    & '' & ,  & & 2  21  & &  ,.    & &    &     &     & &    &    & '' & ,    & &    &    & '' & ,  & & 2  21  & & 2    &     &   &    &  &  &  &               &    & & &  &     & & & &  -  & &     &  & &-   & &   &   & & & ,  & & & ,.  &  ,21  & &   &   & & &  ,  & & & ,.  &  ,21    &   ' & &  ,   & &     &              & & & 2  &  & &  & &&      &  &  &   &   &    &       &  &  21  & &  &  ,.1 &  &   & & & * * * *   &  &      & &                   & & 2  &     &     &    & & & 2       &  &   & &   *     *     *     *      &                         & & & * * * *   &  &       & &                   & & 2  &     &     &    & & & 2       &  &   & &   *     *     *     *                        & &   &    &&  &  &  &     & &   &  &    &  & & &  0                  & & &      & &   &      & &   &      & &   &      & &    &           & & & &   &  &       & &                   & & 2  &     &     &    & & & 2       &  & &   & &   &    &                       & &   &    &&  &  &  &     & &   &  &    &   &  & & &  0                  & & &      & &   &      & &   &      & &   &      & &    &         &    & & &  &   & &  & &   &        & & & 2  & &     &   &        &     & &-        &    & & 2     &     & &-        &    & & 2   &     &   &  &   &     &   &  & & &  & &    & & &&-                   & & &      & & , &      & & , &      & & , &      & & ,,2  & &  & 2  &    & & &   &  &   &         &  & &   &  &   &   & &  & &   &    &   &    &     & &&&&&& -      &    &   & &    &  & ,                     &  &   &    &  &        &2  & & & 2  &  & &   &  &   &   & &  & &   &    &   &    &     & &&&&&& -      &    &   & &    &  & ,                    &  &   &    &  &        &2  & & & 2  &  & &     &  & &  & & &    &     & &&& -      &    &  & & &    &  & ,                   &  &   &    &  &        &2  & & & 2   &  &   &  &    &   & &  & &     & &-     &  & & &                  & & &      & & , &      & & , &      & & , &      & & ,,2  & &  & 2   &  &   &  &   &   & &  & &     & &-     &  & & &                  & & &      & & , &      & & , &      & & , &      & & ,,2  & &  & 2  &  &     &      & &  & & &                  & & &      & & , &      & & , &      & & , &      & & ,,2  & &  & 2  &  & & &    &      &   &        &     &     &     &   &   &  &   &   &  &  &  &  &  &  &  &  &    & & &    &  &   &   &   & & & & &    & &   &  &      &   &   &   & & & & &    & &   &  &      &    &  &    &  &    &  &   &  &   & &   &  &     &  &     &   &   &   & &   &  &     &  &     &   &   &   &  &   & &-    &  &         &     &     &  &  &  &   &   &     &   &   &  & &  & 2     &     &   &   &    &            & &&-  &             && ,2     &     &     &              & & &      & & 2  &  &   &  &   &  & & &  &  & &&       & &   &           & &  &    & &  & 2  &  &   &   &  & &     &  &&  & &     & &  &  &     & &        &  &  & ,           &    & ,     &    & &  &     &    &  & - ,  &     &     & &     &  & & ,  &  &  &  &  &                     , &     &  & &-   & &  &               & & & ,     &  &&     & &  & &  & ,   &   &   &  &  & &                    2  & &  & 2     &   &       & & &         &  &  &        &  &  &        &  &   &        &  &   &        &  &           &  &      &  &        &  &   &   &  & &              & &  & 2  &                &  &      &  &      &  &                           & & & & & &   &  &  &  &  &  &  &  &  &  & &  &        &  &      &         &  &  2  & &   &   && ,  &  ,.  &21 &  &&  & &  & & &&   ,2     &    &&  & &  & & &&    &    &&  & &  & & &&    &     &  &             & &    &    &   &        &      & -   &      &  & &    & & & &-  & &   &           &      & -   &      &  & &    & & & &-  & &   &       &  &   &  &  &  &  &   &  & & &  &   & &      & & 2    & &   && , &   & & &  && , 2     &  &  & &  &  &      &  & & & 2  & &     & &  & ,.  &   &  &  &  &  &  &   &                                             &  &   & &      & & 2    & &   && , &   & &  & & &&-      &    &  & &  &  &      &  & & & 2  &   & &     & & & ,. 21  &    &     &   &  &        &  &  &  & &  &   & &      & & 2    & &   & , &   & & &  && ,   &2     &   &          &   && ,. 21 &   &  &              & &  &  &  & &  &   & &      & & 2    & &   &&  , &   & & &  && ,   &2     &  &    &   & &                    &     &  & &  & &   &  & &  &   & &      & & 2    & &   &&  , &   & & &  && ,   &2     &  &    &    &    &    &    &    &    &    &     &   && ,. &  & 21 & &      &  &         &  &  2  & &   &  &   ,  &  && , . &   &      &   &  &  &    & & & 2  &  &  &    & & & 2        &  &  &    & & & 2                &    &   & &  & &  &  & & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &            & & & &   &     & &   &   &  &  &    & &&-    & & &   &     &  &         &      &         &   & -   ,     & & ,  & & & & 2 &  &   &   &    ,     & & ,  & & & & 221    &    &    &   &   &  & &  & 2  &    &   &   &  & &  & 2  &    &   &   &  & &  & 2  &    &   &   &  & &  & 2  &    &   &   &  & &  & 2  & & & &   &   &  &  &  &  &  &  &&    &  &  &    &  &           & & & &&  & &  & &&  &&  &&    &   &    &  &  & & & 2  &&   &  &     & -   &   &    &  &  & & & 2 & & 2             & &   &  &  &    &  &  & & & 2   & &  & && &&  & &  &  &            && &  &  &  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&    &   & & &   &   &         &  &  2  & &   &   && ,  &   ,.      &   21 &  &   &&  & &  & & &&   ,  &2     &     &  &     &&  & &  & & &&             &   &  &   &   &  & &    & &    &    &  & &   &   &    & & & 2 & 2  & & & 2 &  &  & &    &    &    &  &   & 2  & & & 2     &    &  &  & & 2 &  & & & , &.    & &    &    &    &  &   & 2  & & & 2     &    &  &  & & 2 &  & & & , &.   &   &         &  &  2 & &   &    &  &&  ,  &   ,. &   &  &  &     & & & & &   &   &  &  &  &  &         &  &  2  & &   &   && ,  & ,.  & 21    &  &   &  &  & & & , & & & ,          & &  & &   &    &      &        &   &   &  &      &  &   &   & &   &  & &     ,  && & & & &  -  &    & & &&    &      && & & & &  -  &    & & &&        &   &  &   &     2  & & & &  &  &    &    &      &    &   && & & &   &  -  &     , 2 & & &&    && & & &   &  -  &     , 2 & & &&        &     &  &  &  &  & &   &    &       &     &    2 &     & & & & &   &   &  &  &  &  &  &  &  &  & &    & &    &         &  &  2  & &   &    &&  ,  &  ,. &    &  &         &          & &  & &   &    &      &        &   &   &   &      &  &   &   & &   &  & &   ,  && & & & &  -  &    & & &&    &    && & & & &  -  &    & & &&         &   &  &   &   2  &  &&  &  &  & & & ,  & && & & & &  -  &    & & && && & & & &  -  &    & & && &   &  &    & & & 2  & &             &          & &  & & &&   & & 2  &   &  &    & & & 2  & &             &          & &  & & &&   & & 2        &                   & &  2 &  & &   &         &     &     &   &  &   &         &  &  2  & &   &   && ,  & ,.    21 &         & & & &   & &   & &     &   & &- &   ,   & &   & &   ,  & & & ,. &   &21  & &    &  & &    &  &    & & &  & & & ,  & & &  ,.  &   & &  & & &  ,  & & &  & & & ,  & & &   ,. &   &   &21  & &  &   &     &  &  &         &    &  &  &  &  &   & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &   &                                  & &     & & &  ,. &  &   & &   &  &    &    &  &  &  & &          & & & 2     &  & &     &   & &    &   &    & &  &  & &  & ,  & & & ,  & & &   ,.   &  & &&     21      & & & 2  & &)   &  &    &  &  & &  &         & & & 2     &  & &     &   & &    &   &    & &  &  & &  & ,  & & & ,  & & &   ,.   &  & &&     21      & & &  ,. &           &  & &  & ,   &   & ,  & & &  ,. 21 &   &   * ) )    ))   * ) )    ))   * ) )    ))       &  & &  & ,   &   & ,  & & &  ,. 21 &   &     &  & &  & ,   &   & ,  & & &  ,. 21 &   &   * ) )    ))   * ) )    ))   * ) )    ))      )*          &  & &  & ,   &   & ,  & & &  ,. 21 &   &    * ) )    ))   * ) )    ))   * ) )    ))   & &   &         &  &  2  & & &   &   && ,  &  ,.  &21  &         &  &  2    &    && ,  &  ,. &           & & &   &         &  &  2 & & &   &   && ,  &  ,.  &21  &         &  &  2    &    && ,  &  ,. &    &    & &   & &         & & & 2   &   &         &  &  2  & &   &    && ,  &  ,. &    &  &    &   &         &  &  2  & &   &        && ,  &   ,. &       &      &   &         &  &  2  & &   &      && ,  &   ,. &     &      &   &   &         &  &  2  & &   &    & & ,  & ,.  &21 &&  & &  & & &&    &         &  &  2  & &   &  &   && ,  &  ,.21 &  &  &          &      & 2      &            &       & & & & * * * *   &   & ''        & & &   & &      & &   & & ,,   & & ,,2  & & & ,.1                 21 & &   & &      & & 2   & &   &   & &  & & &&-   &      &                                  &   & & & & &    &  *  *  *  *  & & & & &    &  *  *  *  *  & & & & &    *  *  *  *  & & & & &    *  *  *  *  & & & & & &   &    &  *  *  *  *  & & & & & &   &    &  *  *  *  *  & & & & &    *  *  *  * ))   &  & &   & &  & &  & & & &    &  & &  & & & & 2 &      &        &  &     & & & 2 &  &   &    & & & 2 &    &  &    & & &   &  & & &  &     &     &)*   ) & &   &   & & &   & && &    &  & & &  & &  &  & &      &   &     & &    &   &    &     &   & &  & & &   & & &-  & & &   &     &   &        &     &     &       & &      & &        &    & &-   & &  & &       &   &        & &   & &  &  & & 2     )) ) )  &* *) ))  &* ) * ) ) * * ))   & & &  &   & &-   &       &    & &&-   &       &    & &&-   &       &    & &&-   &       &    & &&-   &       &    & &&-   &       &    & &&-   &       &    & &&-   &       &    & &&-   &         &  & & ,  &     2   & &   &  & &  &       &   &,   & &  & &2 & & & 2   &  &    &  & &  & & & & 2 &     & & & & & & & &))))   &   &              & '            &  &  , .      & &   &   & &    *  *  *  * &    &          &  &  2 & &   &   && ,  & ,.  &  &    & & &   & &      & & 2   & &   &&  &  & &  & & &&-   &   &     &    &    &    &    &    &    &    &    &   21       & & & & &))))   &  &  &    &  & &  & & & & 2 &     &     *  *  *  * &         &  &  2 & &   &   && ,  & ,.  &  &    & & &   & &      & & 2   & &   &&  &  & &  & & &&-   &   &     &    &   &   &   &   &    &    &    &   21       & & &   &     &    &  &!   &    &  ,!   ,!  &     &      &,!    ,!!  &       ,!!  & &  & '    ,.   ,!!  &       ,!!  &       ,!   ,!  &       ,!   ,!   ,!   ,!!  &       ,!!   ,!  &       ,!     ,!   ,! !"2  &  2  &  & & &     & &  &       & &  &       & &  &       & & &  & & &   &   &  & & &-      &     & &  & &       &  & * * * *  & & &     & &   & &   *   *    &  *    &  *            &     &    &  & & & &   &  & &   & &    &  & &  & &  &  & &  & &  &  & &   & &  &  & &   & &  &  & &   & &  &  & &   & & &   &  & &   & &  &  & &   & &  &  & &   &  &  &      &  & & & 2    & &  &  &  &      &  & & & 2  & & &   &  & & &     & &  &  &  &      &  & & & 2    &   & &  &      &  & & & 2   &   & &  &      &  & & & 2   &  & & &      &  &   & &   &  & &     &  &  &    &  &    &    &     &  & &  &    & &      & & & &    & &  &       & &  &       & &  &      & & & & 2   & & &    &          &  &  &  &     &    &  & &  & & & & 2 &         & &   &   &     &  & & 2 &  & & & 2  &  &          &  &                & & 2          &  &    & & & 2              &    & )    & )    & )    & )    & &                   &     & &  &  &      &  & & & 2   &     & &                      & & 2    &   &  &        &    & &    &   &   &   &  &   &  &           &     & &  &   & &   &   &  & &   &   &    & &   &  , & 2 &   & &  & 2  & & 2  &  &  & 2 &  & & & 2  & * & &))))   &'    & *  )      ) &  )         && * * *    && * * *   &        & *  )  & & 2    & &     &     *   & & & 2 &     )   )  & & 2  & & & & & &)))))   &   &  &  & '   &      &  &                  &         &  &  2  & &   &   && ,  & ,.  &  &     ,21    21 &   & & &-  & & &   &     &   &        &     &     &          & &    * &*   * &       *   * &*   &    &*   * &*    *    &   *  &   * ))   &   *  &   * ))   &   *  &   * ))   &   *  &   * ))       &               & & , &.  &&     &&         &                & && 2         &                & && 2 &   &   &   &   &   &   &   &   &   &   &    &   &   &   &   &   &   &   &   &   & & & & & & &    & &     &             & & , &.  && &    &    &    &    &    &    &        &&     && & &    &    &   &   &   &    &  &   & & & &)*  & &  &  & & &-''    &  &   &    &   &  &   &  & &    &    && ,  &  ,.  &  & 21      &    && ,  & ,.  &   &   &      &    &    && ,  &  ,.  &  & 21      &    && ,  &  ,.  &  & 21      &    && ,  &  ,.  &  & 21      &    && ,  &  ,.  &  & 21      &    && ,  &  ,.  &  & 21      &    && ,  &  ,.  &  & 21   &   &    &         &  &  2    &   && ,  &  ,.  &  & 21    &    &         &  &  2    &   && ,  &  ,.  &  & 21    &    &    & & &   & & &   &  ,      ,   2     &     &     &   2  21    & & & &   &   &  & &     &  &   &     & & &    &  &                 & & &   & &-   &   & & & ,  & & & ,.  & &  &   &        &         &      &    21 &      &      &      &    &  &    &   ' & &    & &     &              & & & 2  &  &  & &  & &&      &  &  &    &    &    &           &      &     & &     & &   &  &   & &  &  &  &  &  &  &  &  &  ''   ''         ,  ''       ''     ,  ''         ,      ,2      &    &  & '' ,  &  '' ,.  &  &   &'' ,  '' ,.        &  '' 21          &    &  & &    ,  &  , .    & & ,. 21  &  ''      &  &  &   &''      ''    &  &   &''  ,     '' ,. 21     &  ''   ,.  & & & & & &   &  &  & &       &             &     &   &   &  &     &    &     &  &  & & & & & & &   &   &  &         & & & & &&           & & &       &  &             & & & &&  &     &  &&  & &  & , . &  &    &  &&  &  2  &                &   &  & -   &   &        & &   & & &   &  &         &  &  2   &   &  &   &   && ,  & ,.  &  &21  &  &  &   &   &  &  &  &    & & & 2  &  &  &    & & & 2        &  &  &    & & & 2           & & & 2  &           &  &   &  & 2         &  &       &         &    &        &  & &   &      &  &      &  &      &  &      &  &      &  &        &  &    &   &  &    &     &     &     &     &     &   &  &    &     & & & &   &  &  &  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &    &    &  &   & &      & & 2    & &  & , &   & & & & &&-    &     &    & &     & & &  ,.  21  & & &   &  &    & & & 2   &  &  &  &    &  & & & 2  &  &  & & & & & &   &   &  &  & &    &   &   &  ''   & & & & ,  &  ''  ,.  & 21 &    ''   & & & & ,  &  ''  ,.  &21 & &    &  &  &  &  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&    &   &  &  &  &  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&    &    &  &   &        &  &    &&  &  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  & & &&    &  &&  &  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  & & &&    &   & &  & ,. &  &  &        &      &&  &  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  & & &&    &  &&  &  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  & & &&    &   & & & ,. &  & 21 && &  &  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&    &  && &  &  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&    &   & & & &  & & &  &    &   &  &  &  &  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&  &  &      &  &     &      ,  &  , .21 & & &   &       &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & &  &    &  &  & & & 2  & &     &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&  &  &     &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & &  &    &  &  & & & 2  & &    && &  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&    &  &    &  &  &  &  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&  &  &      & &   &    &  ,  &.       &   ,  &  ,    & .21 & &  &    &       &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & &  &    &  &  & & & 2  & &     &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&  &  &    &&  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&  &  &    && &  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&    &   & & & & &   &   &  &  &  &  &  &  &  & &    &&   &  &  &   & &  &  &    &  &          &         && ,  & & ' 2  .1 &  &   &&  & &   ,  & & &  ,.       21 &  & &      & &  &          & & &&&             & & &&&,  & &&,  &&  & &&  & &  ''   & & & & ,  &  ''  ,.  & 21  & &   ''   & & & & ,  &  '' ,.  & 21   & &   & & &2          &  &  & &  & & & & &   &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &        &          && ,  & & ' 2  .1  &   && &  & &   &  &      &     & & ,   & & & , . 21 & &  & & &-   & & &  & &              &  &   & & &  &  &    &     &   &  &  &    &      &  ''   & & & & ,  &  ''  ,.  & 21   ''  &  ''   & & & & ,  &  ''  ,.  & 21   ''      &    &      &    &    ''   ''    &   & &   &  &  &         & & &  &      & & 2    & &  &  , &   & & & & &&-    &        &  & & &&    &    &  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  & & &&    &      &      & &   & &  & &   & &                 &&   &  &  & & &  &      & & 2    & &  &  , &   & & & && ,   &2     &  & & &&    &   &  &  & & &  &      & & 2    & &  &  , &   & & & && ,   &2     &  & & &&    &   & & &  ,.      &       & &    &&  &  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  & & &&    &   & & & 2 & &  &      & &   & &     &          &&  &  &  & & &  &      & & 2    & &  &  , &   & & & && ,   &2     &  & & &&    &  &&  &  &  & & &  &      & & 2    & &  &  , &   & & & && ,   &2     &  & & &&    &   & & & 2  &  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  & & &&    &   &  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  & & &&    &   &  &  &     & &      &   & &            ,   & & & &      &              ,     &                        & & 2 & &  &&   &  &  & & &  &      & & 2    & &  &  , &   & & & && ,   &2     &  & & &&    &   &  &  & & &  &      & & 2    & &  &  , &   & & & && ,   &2     &  & & &&    &                    ,   & & & &       &                   ,      &                                    2 &&  &  &  & & &  &      & & 2    & &  &  , &   & & & && ,   &2     &  & & &&    &   & & & 2 && &  &  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  & & &&    &  && &  &  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  & & &&    &   & & & &  &             &  &  & &  ,  &  ,.1 & ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,!    &     &    !" &  & &   &   & & &  & & ,  & & & ,.  &21 & &   & &      & & 2   & &   &&   & &  & & &&-   &      &  & &    &       &    & &        & &  &   & &  & &   &  &      &  &     &  &  &  & & & 2     & 2  &   &  &    &     &   &  &      &  &     &     & 2  &   &  &    &     &   &  &    &     & & & &   &   &         & &   &              &&   &  &  &     && , &  & && & ,  &. & && && &21   & & &   &   &     &  &    & & & 2 &   & &  & '   &   ,  ,  &    .  &     &  &   ,   &  &!        +!!        +!!        +!!        +! ,!".1   21 &  ,.   &         ,  & & 2  & &   ,.1 &   &         &             & &              )) & ) &)*  ** **  ) )   ) ) ))))))  &  &  &  & &    & ) ) ) )      &  &   &   &   *   *   & &     *   *   &  & & & 2 & &  &* &*  ,  * *2 ) )   ) **  )   )  )  & * *)))))))))   &  *  *  &*    & *   * * &  * )  ** **      **     **     **  ) )  ** ** *  &*  )* **   *         )&    &  &    & &)))))))))))  & &    &  & &*  &**    &  & &* *    &  &  &  &  &  &  & & & &)*   &)*  ) )    & * * &  * )  ** **   & &** )  *  & &** )  *  )  *  ) )  ** ** *  &*  )* **   *         )&  & & *))))))   * *   **   **  )  &    &  &*    &  * &*    &    &  *    &    &   &)))))))))))))))))))))))))))))))))   &  &  &  &  &  &  &  &  &   &   &     &             &  & & & &  &*   )  &)*  &)*  ))  ))  ))  , )    &)*  &  &)    &)**  &  &)    &)**  ))  ))  ))  , &* &* &*2  ) ) ) )   &   *   *   *   *   *   *   *   *   *   *   *   *   &    &    &  )))) &)*  * * * &   & &* )* ) **     & &   & &* )* ) * * & &   )* ) * * &  & )* ) * * &  & & *)   & *)  &)*  & &*   *      &  *      &  *     & &*   *      &  *      &  *              * * * &*  &  & & & &*   *    *  & & &*     *                      * *      *   &     *   &     *  * * * * * * * * * * * * * * * * )*  & &  &*  *   *   *  & &  &*    &   ) )  ) )   &   *  *  *                                        & & 2  ) )  ) )   &   *  *  *                                         & & 2     *   *    &   &     *   *      *    *   *    *           *   *      *    *   *    *           *   *      *    *   *    *        & & 2 &   &   & &         &   & & &        &  & &)*     &    &   &   &   &   &   &   &   &      &   &   &   &   ) ) ) ) ) ) ) ) ) &   &   &   &   &   &                    &   &    & * * * * *)    & * )   &*   *    &  &*   *    &  *    &  *    & &    & ) ))  &  ) ))  &  &  ) ))  &  ) ))  &  &  &  & &  & &    &      , & &  &  ,. &   & &    & & & &  &    & &    & & & &      &  & & & & & & & &)))))))))   &  &  &  &  &  &  &  &  &  &      &   &* &* &  & )   &* * * * * *  & &**  * * &  * )  ** **    *   & &*     *   &    *    )  & *)  & *)  &  &  *  &  * &)*   &         ****  &* *     &  &  &         ****  &* *     )  &          )  )  )        )  &          ) & & &*  *  *  *  * *  *** *  &** & )* *)))  &  * *  * *  * * &          &*     ***     ** *     ** *  *  *      *      *     *  *      *      *            &  &   &  *   * )  *   * )  *   * )  *   * )   * )   * )   * )   * )   ) )*   ) )*   ) )*  ) )*  ) & &**  *   * )  *   * )  *   * )  *   * )   * )   * )   * )   * )   *   *   *  *    )))  &  & &*   & * ) &  &  & * ))    &**     * *    &       & &   & & &      & &   & &  &      & &&-   & &-  &  &  &  &  & &     &  &  & &     &  & & & & &  & &      & &   &      & &   & & & & & &        &     &  & & & & &  &  )* )  &* **   &    &   &    &  )* )  &* **     &   &    &  )* ) &* **     &  &   & &  &   &  )* ) &* **     &  &   & &  &  &  & &   &  &  &  &  &  &  & & & )))) & & & &     & & &   & & & &  &         & & & & & &   &  &      &  & & &   & &   & &      & & 2   & &   && , &  & &  & & &&-   &      &  & &     &   &    &    &    &  & ))   & ))   & ))   &   &   &   &    &    &   &    &    &    & &  &   & & ,.   & &   & &      & & 2   & &   && , &  & &  & & &&-   &      &  & &     &   &    &    &    &  & ))   & ))   & ))   &   &   &   &    &    &   &    &    &    & & &   . 21 &  & &  & ))   & ))   & ))   & &    & &    & &    &    &    &   &             &  & &                       & &  & & &   &  & &  &      & &       &  & &   &  & & && & & &   &  & &&-    &  & &-    & & & 2 & &   &   & &   &  & & &&   &  &    &    & & &  &  &  &    &       &   &   &    &  &  &&   &       &&       & & &  &  &  &   &     &    &    &   &  &  &      &  &  &   & & &   &         &  &  & &&  & &&    &  & &  &  &  &  &  &     &  & & &   &   &  & &   & &    &           & &         &    &    &&  & &  & & &&      & &&  & &  & & &&      & , 2 &  &&  & &&&   & &   &&  & & &   & &  &    & &  & &  &    && & & & & &    &   & &  &    && & & & & &    &    &   &   &   &    &  &  &  &   & 2  & & & 2  & &  &   & &  &    &  & &-    & & & 2      &   & &   &     & & & 2   &     &  &  &  &  &     & & 2    & 2   & &     &  & &  & &  && & & &   &  & &&-    &  & &-    & & & 2   )))  &  &  &     &   &  &  &    **     **     **  **  &   &*  ,  &    &,  & &-    &  & &  & & &  && & & &   &  & &&-    &  & &-    & & & 22  & &  & 2  & & & & & & & &)))   &   &  & & &     & &    &  & &   &  & & &   & & & -  & &    &    **     **     **  * &)**  & & &     & &  & &     &  & &  &  &   & ''     &  & &  &   & ''     & &  &     & && & &     & &  & &  &     &    & &     &      & &   & & &  & &-  &  & &  &    & &  &        & '' &&&-  &    &  '' &- &  &   & & &   ,  & & & ,.  &21 & & & & &      & & & & & & &  ,,    & & & 2 &   & & &-  &        & '' &&&-  & &    &  '' &- &  &    & &              &  & &  ) *   &  ))   & ))   & ))   & &     &  & &  &  &  &  &  & &  &  &   &  &  &   &  &     &        &         & &  &  && &   &     , &&&  &     & , & ,  &. &   &    ,         &21 &       & &   &   & & ,  & & &    ,. &     21 &  & &  &      & &   & &  ,  & & & 2 &     &   , 2 &    &  & & &  & & & & & &-   &  & &&-    &  & &-   & &   & & &  & & & &&, & & & &, &  &&  & & &  & & & & &&, & & & & &,2 &   &  &  &&  &  &&  &  &  &  &&   & &   &  & &&-    &  & &-      &         & &)))))   &    & &  * )  &  *     **     **  ** &  &   & &    & &     &  &    *    &  & &  &  &*  ) )  & )) *  & &  )  )  , ) )  ,  ) *  ** **   ) ) ** )  2   && & &    &  & &  & &  &    &           &  &   & &    &  & &  & &  & ) *  &  & &   & & &  , .   & &   &  & &  &  & &-   & &  &&  &  & &&  & &  &  &  &&   &  & & & 2  &   &    &     & & &   &  & & &    & & &  & & & &    & &  & & &  & &   & ''    &  & &  &   &  & &''    & &        & & &&    & && & &    & &  & &  &    &    & &    &     & & & & & & & & &  &  & &  & &    & & &   & &   &    & &   & & ,  & & & 2  & & & ,.1 &    &  &21 &  &  & & * * *  & &          &  &   &  &    &  &  & &  & &  & &      &  &   &   &    &  &  &  &   & 2  & & & 2 & & & &  &   &  &  &&   &      &&     & &  &   & &  &    &  & &-    & & & 2  &  & &&  & &  &&  & &&&  &    &      &    &       &   & &   &     & & & 2   &     &  &  &  &  &     & & 2    & 2    & &        & &           && &   &   &   &   &   &     &               & & , &.  &&     &&     &&     &&     && & & & & &   &   &   &   & & &    & & & & &   &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &         & &  &    &   &     & & & & &   &         &  &  2  & &   &   && ,  &  ,.  &21 &  &&  & &  & & &&    &         &  &  2  & &   &  &   && ,  &  ,.21 &  &  &   &       & & & 2         &      & 2      &            &      &        &  &  &  & &  &   & &      & & 2    & &   &  & & &  & & &-    &         & &      &    &     &     & & &      &    &     &     & &   &    & &  &       '''' &&-      & & & 2   &    &     &     &         &    &     &     & &   &  &    &     &   &  &      &  &     &  &  &  &  &     & & 2     & 2  &   &  &    &     &   &  &    &     & & & & &   &   &  &  &  &  &  &  &  &  &  &  &     &     &        &          &   &     &  &   & & & &  & & &&  & & ,  & & & ,    .  &       & &21 &  &           &  &  &                  &  &    &  &    &   &   &    & &  & &  &   &    &   && &   &      &   && &   &   &  & & &  & &  &  &      &   &   &  &   &&&    &   &      &  &  &&   & &&   & & & 2  & & & 2 & &&                          &  & &       &  &     &  &&   & &&   & & & 2  & & & 2           &  &   &  &  &                         &' &    &' &     &' &    &' &                     & & & 2  & & & 2             &  &  &  ''  &,.  & & & ,  &.  &  &  &  &  &  &  &  &  &     &    &   & & & , &   & & & &   & & && & & &   & & & &   & & && & &    &   .  &  &  & &   &   &   && &   &   && &   & &  & &  &    &  &    ,      &  & & & ,  &.  &     &    &    &    &  &    &     '' ,  &.  & & & ,  &  &.     &    &    &    &  &    &     &.21  &  & & &   &   &     &  &  &      &  & & & 2  & &       & & &   &   & &  & & &  &  & &  & & &    &  &     &           &  &      & & &  &   &          & &   &    &   & & && &  & &  & &&  &  &  &  & & & &&  & &  & ,  &  &  &  &  &  & &.21  &  & & &   &   &     &  &  &      &  & & & 2  & &       & & &))   &  & &    )   )* &-*   )* &-   )  )  )  &  & &    &  &  &   &   &&  & &    &  &    &&    &&    &&******   *  ) )    )    *  ) )    )    *  ) )    )    &  &  '' 2  &  & & & ,  & &.  & * *   &  &  &    & &&-   &  & &    & &  &  &   & &    & ,  &  '' 2  & & & ,  &.  &21     &     &          &      & &  &            &    &  &  & &       && *     && *   &  &  '' ,  & &.  &  &  & & ,  &   &  & &  &.21  &  & & &   &   &     &  &  &      &  & & & 2  & &        &  & & &   &   &           &   &  & &    &     &     &          &      & &  &           & &   &  &   &  &  &  & &       &       &  &  '' ,  & &.  &  &    & & ,    &  &  & &  &.21  &  & & &   &   &     &  &  &      &  & & & 2  & &       & & & & &   &  &   & &    & &      &  &     &     &        &  &      & &  &           & &   &  &   &  &  &  & &     &     &  &  &  &   &     &  &     &  &      &  &  &  &  '' ,   &. &  & ,  &  & &  & &  &.21  &  & & &   &   &     &  &  &      &  & & & 2  & &       &   &   &  & &    &  & &       &     &        &  &      & & &  &           &  & &     &    &  & &       &    &  &  &  '' ,  & &.  &  &  & & ,   &  &  & &  &.   &     &  & &       &  &  &  '' ,  & &.  &  &  & & ,  &   &  & &  &.21  &  & & &   &   &     &  &  &      &  & & & 2  & &       &   &  & &   &  & &    &   &   &&  & &    &  &&' &      &  &  '' 2   &  & & & ,  & &.  &   &  & &    &   &   &&  & &    &  & &' &      &  & &' &      &  & &' &      &  &  '' 2  &  & & & ,  & &.   & * * * *)))   &  & & &   )  )    )  )  ) )   )  )  ) )  &  & & &)*   &  & & &)*   &  &  &  & &  &  & & &      & &  & &  ) )  ))    ) )    ))  &&*   &  &  '' , .  &  &  '' ,  & .   &   &   &   &   &   &  &    &   &   &  &    &   &   &   &   &   &  & & & & & & & &  &   && & & & &   & &  & & & & & & &   &    & &    &   &    & &  & &  & & &    &   & ,    & &   ,.     & & &    & & 2     & & & & &    & &  & & & & &     & & 2        & & & & & & & & & & &  &! ,! ,! ,! ,! !" &  & & & &  & & &  & & &      &   & &  &   & & & & &   , &  ,.  & & &  &  &   & & & & &&  & & & 2          & & &  &     ,21 &     &   & &        &    & &   &  &  & & & & & & & & & & & & & &      , & &   , & & &   , & & &  & & &   & & &  &  ,    &  . &  &      & & &   &      &    & & & & & & &  & & &  & & & &  & & & & -   & & & & && -  &  & & & &   &  , &  &    ,   , &  2 & & & & &   &!!!!! !!" &  & & & & & & & & & & & & &   & '  &!!! &  ,!!! &  ,!!!!! &  ,!!!!!! &  ,!! &  ,! !" &   &  &  &  &   &   && & & & &   & &  & &  & & &    &   &   ,  & &  ,. &     & & 2  & & & & & & & & & & & &  2  & & & & & & &  & & & &  , & & , ,2   21   & & & & & & & & & & &   & '   &  &   && & & & & &   &    & &       & & & &  & & && & & & &             & , & & &  , & & & & & &  & & &  ,  &. &   &     &  &     & & & &&-      &&-    &   &  &  &   &  & && & && &   & &   &  &  &  &   &  &   & && & && &   &  & & &  && & && &   & &   &   &  &   &    && & ,   && & ,   && & ,  & & 2  &21  & & &  && & && &   &  & &   & &   &   &  &  &  &  &              &  &      & & &  &           &  & &   &     & & &   & & & && &  & ,  &  &  &  & &  &.21  &  & & &   &   &     &  &  &      &  & & & 2  & &       & &)))))   &   &  &  &              &      & &  &           &  & &  ) &*   &  &   &   &  &   & &  &   & & &&  &   & & & & &  &  &&  &&**  &  & & & &  & & & & &  &  &&  &&**  **   ))    ))   &   ))   &  & & &   , .  & & & 2  &  & & &   &   &     &  &  &      &  & & & 2  & &       &   &  & &   &   &    &    & & & 2  &    &  & &   &  &   &   &  &  &   &   &     )*    &  &  &  & &  & &   &             & &  & &   & &       )* , & &    &    & & & , & &  &  & & , & &   &       &   & & & & 2  & &  ,     2  & & , .1    &    &     21  & & 2  & &  & 2  &  & & & 2  &   &     & &   &  &   & & & &  &   &         & & & 2  &  &   & &   &  &   & &  & &  &   &         &    & & & 2     & &    &   & &  &  & &-    & &  & ,  &        & & &  , .21  & & & 2   &   & &   & & &  & &    &    & & & 2 &      &    &  & &  & &  &  & &-    & & & ,  & & & ,.  &  &  &  &  & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &  &         &        21  & & &  ,.1 &  &    &   &   &    &  &  &   &    &  &    & &  & &  &  & & & 2  & &   &  &   &  &  & & & & & &    & & & & ,  & & & ,. & & &   &    & &                                  & &   &21  & & & 2   &   &   &  &  &  &   &  & & &   &   & & & & ,  & & & ,. & & &   &    & &  & &                                21  & &    &    & &   &    & & & ,  & & &  ,. & &     & ,  21 &       &  & & & 221  & &  & ,  &.  21 &  &  & &    &  &    &  &     &     & & &     & & &  ,  & & &  ,. &   & &     & ,  &     & & & 221  & & & 2  & & &   &  &  &  & &  &  )*    )*  , & , &  ,2 & , &  , &   )*   & , &  , &  & , &  ,  )  )*  *  & , &  , & , &  , &  &  )*    )*  , & , &  ,2 & , &  , &   )*   & , &  , &  & , &  ,  )  )*  *  & , &  , &  &  21  & &   &  &      &  &     &     & 2  & &   &  &         &  &  2   &  &   &  &   && ,  & ,.  &  &21  &  &  &   &           &  &   &  & 2       &             &    &       &  & & & & &)))))))))))   &   &  &  &  &  &  &  &  &   &  & &  & &           & &  & &   ,  & &   ,  & & &,!  & &   ,  & &   ,  & & &,!  & &   ,  & &   ,  & & &,!  & &   ,  & &   ,  & & &,!  & &   ,  & &   ,  & & &,!  & &   ,  & &   ,  & & &,!!"  & & &       ,.1 &   &      21  & &  & &  & &  &   &  &  &  &      &  )  '' & &      &  & &                &  &                         & & & 2  &  &    &    & &  &   & & & &&  & & , & & &&       &  & &  &    &   & &  *      & &  *  & &  *  & &  *  & &  * ) **                     & &  & *  & * & &&  &  )   &  )   &  )   &  )  &   & &  & &                                   & &                                  *      & &  *      & &  *      & &  *  & &  *  & &  *  & *  & &  * )               &  & &  &  ,   &.   21  &   & &-   &   &    & & &    & &  &     &    & & & 2  &   &  &  & &  &  & &   &  ,  &  &        &                 & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &          & & & &&  & &  , & & &&       & &  &  &       ' & &  ,       ' &  ,    &   & &  &  &   &  &  &  &  &    *  &   *  &    &  &    *  &      &    *  &     *  &         &   &      &  ***-   &        *    *           *           *         &  &  *  &   &     &   *  ,  & & &  ,. &   & ,,  & &   & &   &      *    & & &  &,.       &  &,2         &21  & &  ,.    & &    &   )    & & & 2 &   )   *   & & & 2 )     &    *   & & & 2  &   &   )*  , & ,.   & &   & &  &    & &  & 2  & &    &     ' & &  ,    &   & &  & &  &   &  &   & &   &   & &   &   & &   & & & 2  &   &         & &    &   &  & &   &  & & &       & & &-    &        & & & ,   .  &      & & & 2  &     & &  & ,. &  &  &  &  &  & 21    & & & & &))))))))   &  &  &   &  &  &   &  & &  & &  & &  &    &  &  & &&   && '   &  &&   && '   &  & & &  &&    &  & &   &   & &  & & & ,  & & &  ,.  21 &   &  &  &  &     & &  &     &  &  &&   ' &  ,  &  &  &    &&   & &&&-    &  &     &  &  & &    &   &  & &&  &  &  & &    & *  & &    &   &&**   &  & *       &  &   &&**   & *    &   &&**   &  & *     &  &   &&**   & *    &  &   &&**   & *     &  &   &&**   & *    &  &   &&**  ) **         &  &  &  &  &  &   &   &      &      &      &      &   )    &   )    &   )    &   )  & &  &  & &   &  &                                  & &  & & &   & &  & &                                   &  &  *  *  *  *            )****                 *     *     *     *   &  & & & 2  &  & & & 2  & &  &  ,. &  &   &   &  &      &  &     &     & 2  & &   &  &         &  &  2   &  &   &  &   && ,  & ,.  &  &21  &  &  &   &           &  &   &  & 2       &             &    &       &  & &   &  &    &   &  &    &   &  &    &   &  &    &   &  &    &   &  &    &   &  &    &     & & &   &  & &   &  &   & &  &   )*   &   &  &    & & & 2  &     &  &  &     &  &        &     &  &    &     &  &     &  &  &    &   &   &  &  &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &      &     & & 2  & &  &  ,.1 &   &  &  &     &     &  &    &     &  &     & & & & &)   &     &  &      &  & &   &  &  &  &  &   &  & &  & &  &   & &      & & 2    & &   && , &   & &  & & &&-    &         &  & &  & &  &   &              & &  & &              &   & *  &   & *  &   & )  & )  & ) )  & &   &              &   *  &     &  & & &  ,.  21  &  &   &   &  &  &     &    &     &  &    &     &  &  &  &     &  &   &  &  &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &      &     & & 2  & &  &  ,.1 &    &  &  &  &     &    &     &  &    &     & & & & &   &     &  &      &  & &   &  &  &  &   &  & &  & &  &   & &      & & 2    & &   && , &   & &  & & &&-    &         &  & &  & &  &   &              & &  & &              &   & *  &   & *   &  & & &  ,.  21  &  &   &   &  &  &     &    &     &  &    &     &  &  &  &     &  &   &  &  &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &      &     & & 2  & &  &  ,.1 &   &  &  &  &     &    &     &  &    &     & & & & & & &)))   &     &  &  &     &     &  &        &  &  &              &  &        &     &  &  &  &  & &   &  &  &  &    &   &   &  &  & &  *  & *  & *    &-    &-    &-      &  & &  & &  & &  & &  & &    &  & &  ,    &     & ****  & *  & *  & *    & **    & **    & **   &  ,     &      & ****     & **     & **  ,  & & & ,. &    &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &              ,  &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &              & &  &   & &      & & 2    & &   &&  , &   & &  & & &&-    &         &  & &              & &  & &              &   *  &   *  &   & )  & )  & ) )  & &   &              &   *  &  21  & & 2  & &  &  ,.1 &  &  &  &   &  &  &  &   &  &              &  &        &     &  & & & & & & &)))   &     &  &  &     &     &  &        &  &  &              &  &        &     &  &  &  &  & &   &  &  &    &   &   &  &  & &  *  & *  & *    &-    &-    &-      &  & &  & &  & &  & &  & &    &  & &  ,          ****   *   *   *     **     **     **  ,  & & & ,. &    &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &              ,  &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &              & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &         &   &               &  & &                 *     *21  & & 2  & &  &  ,.1 &  &  &  &   &  &  &  &   &  &              &  &        &     &  & & & & & & &)))   &     &  &  &     &     &  &        &  &  &              &  &        &     &  &  &  &  & &   &  &  &    &   &   &  &  & &  *  & *  & *    &-    &-    &-      &  & &  & &    &  & & ,    &     & ****  & *  & *  & *  ,  & & & ,. &    &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &              ,  &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &              & &  &   & &      & & 2    & &   &&  , &   & &  & & &&-    &         &  & &              &   *  &   *21  & & 2  & &  &  ,.1 &  &  &  &   &  &  &  &   &  &              &  &        &     &  & & & &))))))))   &  &  &   &  )*  &   & &   & -  & &  &  &  &      ) &)*  * * *                   &  ) &   ),   ),  ),   ), &  )*   &    &  &  &     * ) )  )    ) &*     & &  &    &         2  * ) &  * * * **,            *  &,  * * * **2 &    )*    * )  ) )  )       &      &      )      &      &      )     )  )) )  ))           )  )) )  ))            &  &  & & & &)))))))   * )  )  * * * ** )))) ))))   ) &)*  )  ) )  )  ) ))   *  * * * * * * **    )  )  *  * )  &*  **   ) ) ***    ) &** ) &*  )*  )*  &*  )  )*  )* ) &    * )   &  & &       * ))  & & & &))))   &   &  &   &   ' & &     , 2 & &  &       &  &  &   &  &  &  &  &  &  &  &  &  &   &  & &  &  )  )  )  &  & & &   & )*      & )*      & )*     ) ) )  & & &   &  *      &  *      &  *      & & &   &  *      &  *      &  *      &   & **     *     *     *   &  & &  & &  &  & & & &  &  & & & &   &  & &  & 2  &    &  &   &  &  &   & & & & &  &   & & & & & & &  &  & &  &  & &  & 2  & & & &)))))))   &  &  &  &   &  &   &   ' &     , 2 & &  &       &  &  &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &   &  & &  &  )  )  )  &  & & &   & )*      & )*      & )*     ) ) )  & & &   &  *      &  *      &  *      & & &   &  *      &  *      &  *      &   & **     *     *     *   &  & &  & &  &  & & & &   &  &   &   *  *  *  *  *  *   )   *   )    )    )                                   &  & &  & 2  &   &  &  &  &  &  &  &  &  &   &  &  &   & &   &  &   & & & &   &  &  & &  & *  *  & *  *  & *  *   )   *   )    )    )    &  & &  & 2  & &    &  &    &   &   &  *   &  *   &  *   &  *            )****                &    *    &    *    &    *    &    *   & & & 2  & & * & & & & &)))))))))))))))))))   &  &  &  &   &  &   &   ' & &     , 2 & &  &      &   &  &   & &&  &      & &&  &      & )*   & &&  &      & &&  &      & & & 2  &  &   &  &  &  &  &  &  &  &   &  & &  &   &   &                                  & *  & * )    *      *      *      *      *      *      *      *       &    *   *   *   * )                     *    *    *     *                 )    &  & * )  )    *   *   *   * )                    *    *    *     *                   &    *   *   *   * )                    *    *    *     *                  ) **                           & &  & & &  & &                                   & &  & 2   &  &    &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &   &  & &  & &   &   &  & *  & * )     *     *     *     *    &    *   *   *   * )            **       **       **       **  )    &  & * )  )    *   *   *   * )         &    *   *   *   * )            **       **       **       **     )          )  )  )  )                                             & &  &  & & &   &  &  &      &  & & & 2  & &   & * )   & *   & *  & * ) )      & & & ,  &   *   &    )   &*   *     &   * )  &   )   & ) )    &  & & & )  ** **  * )   *   *                                  & &2  & &  & 2  & & * & & & & &)))))))))))))))))))   &  &  &  &   &  &   &   ' &     , 2 & &  &      &   &  &   & &&  &      & &&  &      & )*   & &&  &      & &&  &      & & & 2  &  &   &  &  &  &  &  &  &  &   &  & &  &   &   &                                  & *  & * )    *      *      *      *      *      *      *      *       &    *   *   *   * )                     *    *    *     *                 )    &  & * )  )    *   *   *   * )                    *    *    *     *                   &    *   *   *   * )                    *    *    *     *                  ) **                           & &  & & &  & &                                   & &  & 2   &  &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &   &  & &  & &   &   &   &                                  & *  & * )    *      *      *      *      *      *      *      *       &    *   *   *   * )                    *    *    *     *                 )    &  & * )  )    *   *   *   * )                    *    *    *     *                   &    *   *   *   * )                    *    *    *     *                    ) **                           & &  &   & &                                    &   & * )   & *   & *  & * ) )      & & & ,  &   *   &    )   &*   *     &   * )  &   )   & ) )    &    & ))  **    **    *     *     *   & &2  & &  & 2  & &    &  &    &   &   &  *   &  *   &  *   &  *            )****                &    *    &    *    &    *    &    *   & & & 2  & & &)))))))))))))))))))   &  & & &  &      &  & & & 2  *  *      &  *      &  *      &  *      &  *      &  *      &  *      &  *      &  *      &  *      &  *      &  *      &  *  & *   & *   & *   &  *                  & *   & *   & *   &  *                  & *   & *   & *   &  *                  * )    &  & *   & *   & *   &  *                  & *   & *   & *   &  *                  & *   & *   & *   &  *                  * )    &  & *   & *   & *     &  *            & *   & *   & *     &  *            & *   & *   & *     &  *            & & &))))))))))))))))   &  &                                  *  *      &  *      &  *      &  *      &  *      &  *      &  *      &  *      &  *   *   *   *   * )                    *    *    *     *                  * )    &   *   *   *   * )                    *    *    *     *                  * )    &   *   *   *   * )                *    *    *       *            & & & & &  &   &  &  &  &   & &  &  &    &  &  &         &   & &      &     &  &  &    &  &&  &  &  &     &  &  &  &  &  &   &  &  & &     &  &        &     & &  &  &             &  &     & & & & &   &  &  &  &   &   &  &  & &    &  &  &  & &      & &-   &  &  &&       &   &   & &-   &  &  &&       &  &  &      &  &  &     & & &   &  &   &  &  & &   && & &      &       &     &  &  &  &   ,  &   &  &     &  &  & &     &  &  & &     &  &  & &  & & & 2 ,  &   &       &  &   &     &  &   &  & & & 2 &     & &  &  &  & &,     &   &   &,2  &    &  &     &  &    & & &))))))))))))   &  &   &  &    &  &  &  & & &   &  & )*   & )*   & )*  ) ) )  & & &   &  & *   & *   & *   & &  & &   & *   & *   & *   & *     & &  &  & &  & &  & &  & *  &  *   & *  &  *   & *  &  *  **              &  *   &  *   &  *     **                          &  & &            & & &))))))))))  *  *  *  *  *  *  &  &  &      ***   &  &  &      ***   &  &  &  &  &  &  &  &  &  &  &      ***       ***        ***         ***            *  *  *       ***        ***        ***          ***            *  *  *       ***        ***        ***          ***           & & & &)))   &   &  &  &  &  &  &  &  &  &  &  &  & &  &&      &     &   &    &&  &   &  &  &  &  &  &  &  &  &  &  &  &  &  &       &       & ,  &  &   ,.  &21  &!!!!,!  & ,,!,!"  &   &  ,.1 &  ,    &  ,  &  &   ,.21   ''    &  ,  &  &,   , , .     &.1 &    &    &,  &  &  ,   .21   &  & & &      &    &         &  &  2      &   && ,  & ,.    &,21 &  ,  &      &                  &&  & &  , & & &&       & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &          &  &         &  &  2      &  &    &&   ,  &  ,.21 &    &  ,  &   &              & & & 2       &  &   &  & 2      &    &  &            &    21  &  &  &   &   &  ,   &       & ,  &  &   ,.  &21  &!!!!,!  & ,,!,!"  &   &  ,.1                                             &  ,  &    *     *   )  *     &   & )  )       )           & ,  & &  *   & &  &  )  &     &   *  ,  & & &  ,. &   & ,,  & &   & &   &      *    & & &  &,.       &  &,2         & 21  & &    & 2 )   )  )  &   )   )   ) &-  &     &   *  ,  & & &  ,. &   & ,,  & &   & &   &      *    & & &  &,.       &  &,2         &21   & &    &   )    & & & 2 &   )   *   & & & 2 )     &    *   & & & 2  &  &  &   &   )*  , & ,.   & &   & &        &  & &  &  &  &   & &      & & 2    & &  ,  &&  , &   & & &  && , 2     & 2  &  & &  &  &      &  & & & 2    &        & & 2  &  &  &  & &  &   & &      & & 2    & &   &&  , &   & &  & & &&-      &  &  & &    &    &    &    &   &   &    ,.1 &  &  &  &  &  &  21    &    &  & & 2  & & 2  &      &    &  & 2        &  &  &  &    &   &  &    &  &  & & 2  & 2  & & & &)))))))))))   &   &  &  &  &  &     &   &    &  &  &  &  &  &  &  &  &  &  &  &  &       & ,  &  &   ,.  &21  &!!!!,!  & ,! !" &     & -  &  ,  &                &   & &-   &  & &-   *     *    )  ** **  )*  ** ** )  ** **  *                          *  *   )    )    )    )   &  & &  & & &                                   & &   & &                                  *      & &  *      & &  *      & &  *  & &  *  & &  *  & *  & &  * )               &   &  ,. &   &   &  &  &    &  &   ' &  &   &         & & & 2  & &     &    &  & &   &   & &        & & & 2  & & & 2   & & &)   &      &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  & )  & )  & )  &      &  & &  &&  &  && 2     *      &  &&  &  && 2     &  & & 2  & & & & & &)))))))  &     & )  & )  & )  & & & 2 &    & &  & &  & &  & *  &  *   & *  &  *   & *  &  *   &  *   &  *   &  *      **     & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & & & 2    & &  *  & &  *  & &  * **           & & & 2  & & & & & * &)))))))   &  &       &     &   &    &&   ' &  &  &&   &     & )  & )  & )  & & &  & & &    &          &    & & 2 &    & &  & &  & &  & *  &  *   & *  &  *   & *  &  *   &  *   &  *   &  *      **     & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & & & 2  &  ' &  & &&    & *  & &    *   & *  & &    *   & *  & &    *    & &  * *   & *  & *  & * **     *     *     *   & &    *   & &    *   & &    *    & & 2  & & & 2    & &  & &  *  & &  *  & &  * **                       & & & 2    &      &     &  & 2    & & &   &   &     &  &  &     &  &   &   &    & &  &    & &  &  &    & &  &  &  &  & &  & 2  &  &      &         & & & & & & &)))   &     &  &  &     &     &  &        &           &  &        &     &  &     &  &  &  &  &  & &   &  &  &  &    &   &   &  &  &  & &  *  & *  & *    &-    &-    &-      &   &   &  & &  & &  & &    &  & &  ,    &     & ****  & *  & *  & *    & **    & **    & **   &  ,     &      & ****     & **     & **  ,  & & & ,. &    &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &              ,  &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &              & &  &   & &      & & 2    & &   &&  , &   & &  & & &&-    &         &  & &              & &  & &              &   *  &   *  &   & &   &              &   &   *21  & & 2  & &  &  ,.1 &  &  &  &   &  &  &  &            &  &        &     &  &     &  & & & & & & &)))   &     &  &  &     &     &  &        &           &  &        &     &  &     &  &  &  &  &  & &   &  &  &    &   &   &  &  &  & &  *  & *  & *    &-    &-    &-      &   &   &  & &  & &  & &    &  & &  ,          ****   *   *   *     **     **     **  ,  & & & ,. &    &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &              ,  &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &              & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &         &   &               &  & &                 *     *21  & & 2  & &  &  ,.1 &  &  &  &   &  &  &  &            &  &        &     &  &     &  & & & & & & &)))   &     &  &  &     &     &  &        &           &  &        &     &  &     &  &  &  &  &  & &   &  &  &    &   &   &  &  &  & &  *  & *  & *    &-    &-    &-      &   &   &    &  & & ,    &     & ****  & *  & *  & *  ,  & & & ,. &    &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &              ,  &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &              & &  &   & &      & & 2    & &   &&  , &   & &  & & &&-    &         &  & &              &   *  &   *21  & & 2  & &  &  ,.1 &  &  &  &   &  &  &  &           &  &        &     &  &     &  & & & & &   &   &  &  &  &  &   &    &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &   &  , &  & & ,  & & ,  &  & &  , & & &&   &  &  &  & &  & &  & &  &  &&  &   ,     &   & &      ,   ' & &  ,      ' & &  ,   ,     &   & &      ,   ' & &  ,   ,     &   & &      ,   ' & &  ,   ,                 &   & & , &  & ,  &  & &            ,              &   & & , &  & ,  &  & &    &    &    &,                    &       & * &- &  &   &  & &                     &  &  &   & && &  ''    &  &&  ,  '' , .21   &  & &  , & & &&     2  &   &  ,.1 &  &  &  &  &  &  &   & &)))))))))))))   &   &  &    &  &  &  &  &   &  & &  &   ) ) )  & &  &  &   )  ) )  &  & &  & *  & *  & *  & *  & *  & *  & *     & *  &  ) *   &  ) *   &  ) *   & & & 2  &  &    &    &    &   & *  &   & *    &    & &  &    &  & *  & & )  &     &   *  ,  & & &  ,. &   & ,,  & &   & &   &      *    & & &  &,.       &  &,2         &21  & &  &  ,.   & &    &   )    & & & 2 &   )   *   & & & 2 )     &    *   & & & 2  &   &   )*  , & ,.   & &   & &  &    & &  & 2  & & & & & * &)))))))   &  &       &     &   &    &&   ' &  &  &&   &     & )  & )  & )  & & &  & & &    &          &    & & 2 &    & &  & &  & &  & *  &  *   & *  &  *   & *  &  *   &  *   &  *   &  *      **     & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & & & 2  &  ' &  & &&    & *  & &    *   & *  & &    *   & *  & &    *    & &  * *   & *  & *  & * **     *     *     *   & &    *   & &    *   & &    *    & & 2  & & & 2    & &  & &  *  & &  *  & &  * **                       & & & 2    &      &     &  & 2    & & & & & &)))))))  &     & )  & )  & )  & & & 2 &    & &  & &  & &  & *  &  *   & *  &  *   & *  &  *   &  *   &  *   &  *      **     & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & &    *   & & & 2    & &  *  & &  *  & &  * **           & & & 2  & & & & &  &  &&  &     &  &  &  &  &  &       &    &  & &         &   &  &  &    &  &      & &  & &  & &  ,  &  ,. &     &,  & &  & &  & &   ,  &  ,.21 &   &  ,       &  &   &  & 2       &  &                  &    &      & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &         &       *-       *-    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &              & & &  &      & & 2 & &   &  , & & &  & & &-          & & &   ,   .     & &   &  &  &   & &      & & 2    & &   &&  , &   & &  & & &&-    &        &     &   &   &  &  &    &  &    &   &    &    &    &  &  &    &  &  &    &  & & & 2  &  ,  .1 &  &  &  &  &  &        &  & 2  &   &   & &               & &   &  &   &  & &  &  &  &&   ' &      &    &  &  &  &  &   &  &  & &  &  &  &   & &  & & ,  &  &.  &   &   & &               & & & & &   &  & &   & &-   &   &  &  &    &    &  &  &   & & & &   &     &  &   & &&-   &&  &    &   *  &   *  &  & &  & 2       & &)   &   & & &)*  &))   & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & &)   &   & & &)*  &))   & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & & & &)))   &   * ) )  )  & & &)*  &))    &) *  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    &    &    & & & 2       & & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  &   *  & & & 2       & &)   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    * ))   &  &  ))    & & & 2       & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   &   & & & 2       & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   &   & & & 2       & &   &  & & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & & &   &   &&  &   && & &   & &-   &   &  &  &    &    &    &   & &  & & &   &    &  &    &    &  &   &   ' &  ,     &  &  &  &  & &  &  ,. &  &        & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  & & & 2       & &   &  & &   & &-   &   &  &  &    &    &  &  &   & & & &   &    & &  &    &  & &  & 2       & & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  &   *  & & & 2       & &   &  & &   & &-   &   & &    & &    &    & &  & & &   &      &   & & & 2       & & & & & &))   &   & &        & &   & & &-   & & & &-   &   &   &  *  *    *        &    &        & & & &   &  & &    &   & & & ,  & & & ,. &    &21  &  & &  &   & &      & & 2    & &   &&    & &  & & &&-    &     &  & &       &&  & &  & & &&       &    & &  &  &      &  & & & 2   & & & &   &                   &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &   &                                  &  &     & & &     &                                  &   &  &   &   &                                  &  & & &    ,.   &                                  &   &  & & &  &  & & & & &   &  &     & &   &  &   & &  &  &   &   &    &    &    &,   &    &    &,    &,   &    &    &,   &    &    &    &,    &  &    &   ,2    &     & ,  &  '' ,.  &   & ,  '' ,.  &    &     &  '' 21    &    &   &    &  & &  ,  &  , .    & &   ,.  21  &  ''       &    &    &  ''    &   &  ,    &  '' ,. 21    &  &  ''   ,.  & & & &     &     &  & &  &  &   & &&        &  &  ,  .  & &      &     &  & & & 2   &   &   & &               & & & & &   &  & &   & &-   &   &  &  &    &    &  &  &   & & & &   &     &  &   & &&-   &&  &    &   *  &   *  &  & &  & 2       & &)   &   & & &)*  &))   & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & &)   &   & & &)*  &))   & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & & & &)))   &   * ) )  )  & & &)*  &))    &) *  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    &    &    & & & 2       & & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  &   *  & & & 2       & &)   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    * ))   &  &  ))    & & & 2       & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   &   & & & 2       & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   &   & & & 2       & &   &  & & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & & &   &   &&  &   && & &   & &-   &   &  &  &    &    &   &   & &  & & &   &    &  &    &     &  & &  & 2       & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  & & & 2       & &   &  & &   & &-   &   &  &  &    &    &  &  &   & & & &   &    & &  &    &  & &  & 2       & & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  &   *  & & & 2       & &   &  & &   & &-   &   & &    & &    &    & &  & & &   &      &   & & & 2       & & & & & &))   &   & &        & &   & & &-   & & & &-   &   &   &  *  *    *        &    &        &   &   & &               & & & & &   &  & &   & &-   &   &  &  &    &    &  &  &   & & & &   &     &  &   & &&-   &&  &    &   *  &   *  &  & &  & 2       & &)   &   & & &)*  &))   & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & &)   &   & & &)*  &))   & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & & & &)))   &   * ) )  )  & & &)*  &))    &) *  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    &    &    & & & 2       & & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  &   *  & & & 2       & &)   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    * ))   &  &  ))    & & & 2       & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   &   & & & 2       & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   &   & & & 2       & &   &  & & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & & &   &   &&  &   && & &   & &-   &   &  &  &    &    &    &   & &  & & &   &    &  &    &    &  &   &   ' &  ,     &  &  &  &  & &  &  ,. &  &        & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  & & & 2       & &   &  & &   & &-   &   &  &  &    &    &  &  &   & & & &   &    & &  &    &  & &  & 2       & & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  &   *  & & & 2       & &   &  & &   & &-   &   & &    & &    &    & &  & & &   &      &   & & & 2       & & & & & &))   &   & &        & &   & & &-   & & & &-   &   &   &  *  *    *        &    &        &   &   & &               & & & & &   &  & &   & &-   &   &  &  &    &    &  &  &   & & & &   &     &  &   & &&-   &&  &    &   *  &   *  &  & &  & 2       & &)   &   & & &)*  &))   & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & &)   &   & & &)*  &))   & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & & & &)))   &   * ) )  )  & & &)*  &))    &) *  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    &    &    & & & 2       & & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  &   *  & & & 2       & &)   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    * ))   &  &  ))    & & & 2       & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   &   & & & 2       & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   &   & & & 2       & &   &  & & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & & &   &   &&  &   && & &   & &-   &   &  &  &    &    &    &   & &  & & &   &    &  &    &    &  &   &   ' &  ,     &  &  &  &  & &  &  ,. &  &        & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  & & & 2       & &   &  & &   & &-   &   &  &  &    &    &  &  &   & & & &   &    & &  &    &  & &  & 2       & & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  &   *  & & & 2       & &   &  & &   & &-   &   & &    & &    &    & &  & & &   &      &   & & & 2       & & & & & &))   &   & &        & &   & & &-   & & & &-   &   &   &  *  *    *        &    &        & & & & & & & & &)       &        ) &*  &      &     &  &   &      &    &  & &-'  & &  &' ' &  &     &  ' -  &  & &-   &' ' &  & &   & &   &  &  ,          2 & ,           * ) ,  ) ,2  &    & 21  &        &          &        &    &    &  &     &  &  &  &  & &    &  &  & &  &   &   &  & &    &  &   & &   &  &  &  &   &  &   & &  ,   &2 & &    &  & &   &   &  &  )**    & &    &  &   &   &   &     & &  & &  & &  & &   & &-     & & & &&-   & &  & &  &  & &  &      & &&-   &  & &  & ,  &   **    ,  &    ,2  & & &&                         0                            ,  & &                         & &&   &    21      & & &))   &     & &     )   &  &  & &*  *       &*   &    &  & & &  &     &   & & &      & & & & &     & &  &           &        & * * &))))))))))))  * )    *   *               *  &  *  &  *           &  *  &  *  &  *           &  *  &  *  &  *          &   &  &    &  & &    &      &  & &  & & &          & &   & &      & & 2 & &   &  , & & &  & & &-          &  &  & & &     ,  . &  &   &  &  &       & &   &  & &   & & &   & & &  & &   &  & &  & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &   &          &   &  &   & &   & &      & & 2 & &   &  , & & &  & & &-          &  &  & & &    ,  & .   21  & & & &   &    & & & &  & &  &   & & &    & & & 2  & &   &  &   & &   & &      & & 2 & &   &  , & & &  & & &-           &     & &  ,  &.1 &  &  &  21     & & &   &  &  &    &  &  &  &  &  &  & &    &   & & & & ,  & & &   ,. & &   21 &    & &  &  &   &                                  &  &    & & & 2 &  &   & &      & & 2    & &   &&  ,   & &  & & &&-    &     &  & &  &  &      &  & & & 2  &  &     & & &   & &  & & &  &      &  & & & 2  &  & & &    ,.  &    &    & &                                  &  & & &  ,. &  &   & &   &  &  & &   &      &  & ,  & &   ,. &         ** ,  & & , .21  & & &  ,.1   &    &  &    & 21  &   )*  , & ,.   &    &   &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &   &                                  &      &      & & &   &  &      &        & &  && &&   )*    &     )*    &     )*    &     )*    &         & &   &        &  &        &  &        &  &        & & 2 &   &        &  &        &  &        &  &        & & 2 &  &&     &  &&     &  &&     &  &&      & & & &))))))  &  &  &  *  &  &  &  &  *  &  &  &  &  *       ***        ***          *** *          ***            *  *  *       ***        ***          *** *          ***            *  *  *       ***        ***          *** *          ***           & &))))   *  &  *  &  *  )  ) ** )    )       **       **       **    ) ** )    )       **       **       **    ) ** )       **    )       **       **   ) ** )       **       **    )       **   & * & &)))))   &  & &    &  &   & &  & & & &*  &    & & & 2  &  & &    &    )   )  & & & 2    &   & *   & & &   &   *    & & 2    & *  & * ) )       &    & &    & &   * )    *    * )   )*    & )    *  )  ) , , ) )   ,2 &   )  ) )    &   ))            & & & 2  & & & 2  & & &)))))))))))))))))))))  *  *  *  *  *  *  *  * )  )  )   *  &  *  &  *   &  *  &  *  &  *   &  *  &  *  &  *   *  *  *  *  *  *  *  *  *  &    *   &    *   &    *                             & & &)))))))))))))))))))  &  &  &  *  *   *   *   &  *  &  *  &  *  &  *      &  &  &  *  *   *   *   *  &  *  &  *  &  *  &   *   &   *   &   *   &   *                   *  *  *   *      *      *      *                                       ******** )              & & & &))))))  &  &  &  *  &  &  &  &  *  &  &  &  &  *       ***        ***          *** *          ***            *  *  *       ***        ***          *** *          ***            *  *  *       ***        ***          *** *          ***           & & &))))))))   *  *  *    &-    &-    &-   &   &   &  &   &  &  &  *  *  *  *  *  &  & &  & &    & * &-  & *  & *  & *  & *  & *  & *  & * &  & & ,  & ,.  &21  &  &  &  &   &           &      & 2       &             &    &      & &   &  &    &  &    &  &  &  &   ' & &   & &  &  &  &   & &&&-    &  &  &  &  & & &  &  &&    &      &  & &   ' & &   & &  &  &  &   & &&&-    &  &  &  & & &  &  &&    &      & &     )*    )*    ,  & &   ,. &   & & & &   &  &     & &   &  &   & &  &  &     &   &                                                                                                ,   &                                                                ,                                ,   &                                                                ,   &                                                                                                ,                                                                                                                                ,2                                     & ,  &  '' ,.  &   & ,  '' ,.                                                                                                  &  '' 21                                                                   &    &  & &  ,  &  , .    & &   ,.  21  &  ''       &                                                                  ''    &   &  ,0                                  '' ,. 21                                  &  ''   ,.  & & &)))   *  *  *    &-    &-    &-   &   &   &  &      **   * ,  & ,.  &  &21  &  &  &  &   &           &  &   &  & 2       &             &    &               &     & & &   &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &   &    &      & & & & & & & & &)))))))))))))      ' & &  &  && &    & &  & &  & *  &  *   & *  &  *   & *  &  *   & &  &  *   &  *   &  *    *    *    *    *     *     *        )         ** **        & &     *   & &     *   & &     *   &  & &    *   & &    *   & &    *   & &     *   & &     *   & &     *   &  & &    *   & &    *   & &    *   & &     *   & &     *   & &     *   &  & &    *   & &    *   & &    *   & & & 2 &     & &  &   &              & &  *  & &  *  & &  *  *  & *  & *    *    &   *    &   *  **           *  *  *     &   &   & ))) ***   & & & 2   & & & & & & & &)))))))))))))      ' & &  &  && &    & &  & &  & *  &  *   & *  &  *   & *  &  *   & &  &  *   &  *   &  *   & *  &  *   & *  &  *   &  *   &  *        )         & &     *   & &     *   & &     *   &  & &    *   & &    *   & &    *   & &     *   & &     *   & &     *   &  & &    *   & &    *   & &    *   & &     *   & &     *   & &     *   &  & &    *   & &    *   & &    *   & & & 2   & &  & &  & *  &  *   & *  &  *   & *  &  *   & &  &  *   &  *   &  *   & *  &  *   & *  &  *   &  *   &  *        )        **    **     & &     *   & &     *   & &     *   &  & &    *   & &    *   & &    *   & &     *   & &     *   & &     *   &  & &    *   & &    *   & &    *   & &     *   & &     *   & &     *   &  & &    *   & &    *   & &    *   & & & 2 &     & &  &   &              & &  *  & &  *  & &  *  *  & *  & *    *    &   *    &   *  **           *  *  *     &   &   & ))) ***   & & & 2   & & & &      &  &  & & &     &  & & & 2  & & & & &)))))))))))))))   *  *  *  *  *  *  *    )  )  )   *  *  *     **     *  *  *  *    )  )  )      **        ) )  ))  ** ) )  ))  )   * ** )   *  * ** )   * &     &  &  &  &  &  &  & &      &   &  &                          & & &   & &      & & 2   & &   &&  , &  & &  & & &&-   &   &  &    & &              & &              & &  &  &      &  & & & 2  &    &   &   &   &  & & &  ,. &  &                    &  )  &    & & & &    & & &    &    & &    &)*  &   &)* ))   &  &* &) &** ))   & * * & &)))   &  &   & & &   & & &   & & &  ) )  & *  )  ) )         & &  & *     )       )  ) )  )  )     & & ,  & & &  )  ),.    & *      &**  ) 21    )       & &        & &)*   )  )) )) )) ) ) ) &    &   &*   *    *    *    *    *    *  &     &     &   &  & &    )   & & 2 & &   &   &  &   &  &        &   & & & & &    &     & & 2   &  &   &  &        &   & & & & &    &     & & 2   &  &   &  &        &   & & & & &    &     & & 2       &  &     & & 2 &            &  &     & & 2  &      &  &     & & 2  &)   &   &  &  &  &    & &  & &       & & & &  & &* )  &* * &**)) )      & &   & & &-  & &   &   &     &  &  &  &  & & &&  & & ' &-   &  &&    & & ' &-   &  &&    & & ' &-   &  &&    & & ' &-   &  &&    & & ' &-   &  &&    & & ' &-   &  &&    & & & ' &-   &  &&    & &&  &       &  &   &     &            &     & &  &&    & & 2       &   &  &      &    &  &     & & , &. &        & &   &   &   &     & )))) &*  ) & &   & & &-  & &   &   &  &   &   &    & &      ,   ,2    &  &     ,   , ,2     & ,  & & & , & &   & , & & & &  &  &   ,  & & & , & &   & , &  &   ,  & & & , & &   & , & &  &  &   ,  & & & , & &   & , &  &   ,  & & & , & &   & ,2 &*) 2  &       & & , .       &         & & & & & * * * * &  & &           & &   & & & & & & * & & &       & &   & &   & & & & &&     & & & & & * & &         & & & & & * &))))))   &  &          **     **     **  *)*  & & &  &  &*                &    &  &  &  &    &     *     *     *  & ' & &* & ' & &* & ' & &*          & & & &  & & &  &  &  &   &   &  &   &  &  &     & & & 2  & & & & & * &)))   &  &  & &   &    **     **     **  ** &*    )  )  ) & &  & &  &   &     &  &   &    &  &         & & & & & * &)))   &  &  & &   &    **     **     **  ** &*    )  )  ) & &  & &  &   &     &  &   &    &  &     &&  & &  & & &&         & & & & & & * &   &        )  )  ) & &  & &  &   &     &  &   &    &  &      &        & * & & & & *   &        )  )  ) & &  & &  &   &     &  &   &    &  &      &            )  &     &    & & & & & * &       & &  & &  &   &     &  &   &    &  &         & * & & & *   &        & )    )  )  ) & &  & &  &   &     &  &   &    &  &         & & & & & & & * & &)))))))))))   &   &  &  &  & & &   & &      &  &    &    &    &   '  &* ' &  &  &' &  &  &' &   &  &  &  &  & '  '    &    ' & &*  &  & &*  &  &  &  &  & '        &* '  '  '  '  &*   & ' &&))*  **     **      )      **       **       **              ,                 *      * ,                * ,  & & & &  &)*     & & & &  &)*             **       **       **                  * ,   & & & &  &)*     )  ) & & & &  &)*      )      **       **       **                 * ,  & ' &&))*  & ' & &))*  ** * *  **  **      *      *      *             ,  & ') *     & ') *      )      **       **       **             ,                        ,2                                               * & ) ) )) )****** & - ) ) ) & & )* -  &   & &  & & & & & & &  &   &  &   , &  & ,  &   &  &   &,    **     **     **  ** )                & & & & & & &  & &  &   &   &  &   &  &  &      & &   *  )  )  )  & ) ) )   *     & &)) 2  & & & 2  & & * * & & * * * &         & &   &   &  &  &  &  &!     &&  &  &  &  &  &                       &!!!!!!!!     &&  &  &  &  &  &                       &!     &&  &  &  &  &  &                       &!   &!"    &   &  & &  &   & &    & & & & & &  & & & 2   &     & & & 2 ))))   &  &  & & & & &    & & &   &  &   &     &  & & &    **     **     **  ** &*  &   &  & &   & *  & &&  &  ,  & &  & &&  &  ,   & &  &  & &-  &   & & & &-  & & &   & & &    &    & & & &   & 2   &  2  & & & 2   &  & & & &-          &    & &    & &     & &)  & & & 2  &  &     &   &  & &) &))   * - & &  & &    & &  & 2 )  &   &   &   &   &   &   &   &       && &                        )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) ) )  ) )  ) ) ) ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) )  )  ) )  ) ) ) ) ) ) )  ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) )  ) ) ) )  ) )  )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) )  ) ) ) ) ) ) )  ) )  )  ) &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   )) )) )) )) )) ))                  &                 &   &   &           &    &   &   )))*   &   )))*   )))*          &               &                &               &                &               &                &               &                &               &                &               &                &               &                &               &                &               &                   &               &                &               &                &                &                &               &                &               &                &               &                &               &                &               &                    &   &   &   &   &   &   &   &    & & & & & & &))))))))   &  &  &  &  &  & &  ) ) )   &    & & & 2 ) ) ) ) ) ) )         ) ) )       ) ) )     &    &  &  &  & &   * ) )   * &  & &*  &   &*   * )  )) &*  & & & & &  & & &* , &                )  )  )  )& -  &    *  *  *  *)& - , &  *   *   *   *   *   *  **     *** *   *      *  *      &  *  &   *      &  *  *      &  *  &   *      &  *  *     ) )  &     * ,  & & &  ,. 21 & &  & &   &  &  &   & & &     & & &&   &   & & &&   &   &       & &  &2  & & 2  & & & &)))))))))))))))))))))  * * * * * * * * * * * * ) ) )  )    &  *  &  *  &  *         & & 2 )&  & & & & & & & * &))))   &  &  &    **     **   *   *  ** &* &      &  & & )   )  )  )  )*   & &))   & &     &  &  &  &  & &   & & & &  & & & & &  & & & & &  & & & & & & 2   &*   &*   &* & & & & & & &  & &  &   &   &  &   &  &  &         & & & 2   & & & &  & & & & &  & & & & &  & & & & & & 2   &*   &*   &* & & & & & &  & &  &   &   &  &   &  &  &         & & & 2  & & * * & & * * * &   &  &  & &   & &     )  )   ))  &   )   &  &      &              & ') *      *  & ') *      *  & & & & & & &  &  &  &   &   &  &   &  &  &     & & & 2  &))))   &  &  &  &  &  &   &  &  &  &  &  &   &  &   &)*  &)*    )))  !                      & & ' &               & &  &     & &  **  & &   & &     ) !  & &*  )  )  )  &     & &  & & &   &  &  &    )& &  &   )     !  &   &)*  &)*    )))  !  &  )  )*   &  )   )*   &          )))   * )  *     *        )))  !!!!!  &    &    *    &  &    & &  &  &     &    &       &    & & &                 & &  &       & &**   &     & &  &     &  &      & &    &     &  &    & !!  )  )  )    &     & &  & & &   &     &  &    )&    &  &   )   &      &             & &     &   !!!!         &  &  !              & & ' &               & &  &     & &  **  & &   & &    )  ! &          ) !"2 &)))))))))   &   *  *  *  *  *  *   )    )    )     *)*     **  **  **           * * & * * & * * &          &    &                  &))))))))))   &  &   &     & & & &   & &  *  *  &  *  * &  &  &    &  &  &  &   &  &     &  &                  *  ******** &&- )  &  & &-   *  *  *  &   *    *   *   ) &)*   &)*   &  &  &  &  &  &   &      &   &                                 &*      &*      &*        & &  & 2  & &    & &   &  &      &  &       ' & &         ' & &              &      & &       & &   &    &    & & & ,.   & & &  &    & & & 221     & & & & & * &   &  &  &  & &  &       &  &  & &  & &              & &              &    &    &  & &   & &             &    &   &  &     & &     &     & &       & &     &     & & & & &  &  & &  &       &  & &    &  &    &  & &  &   & &  & &   & & & ,  & & 2     &  & &  &      &  & & & 2   & &   &  & & &  ,.1 &       &   &  &   &  &&      &  &   &   & &   & &    &  &  & & &  & & & & & & & & * &))))))))))))   &  &   & &  )   &  *   *       &  *  &   *       &  *  &   *       &  *  *       &  *  *       &  *  *        *       &   *       &   *       *       *       *        &* )      **      **  &*     ) **                             *  )     ) )*           &    & &   &  &      &  &       ' & &         ' & &              &      & &       & &   &    &    & & & ,.   & & &  &    & & & 221     & & & & & * &   &  &  &  & &  &       &  &  & &  & &              & &              &    &    &  & &   & &             &    &   &  &     & &     &     & &       & &     &     & &  &  & &  &       &  & &    &  &    &  & &  &   & &  & &   & & & ,  & & 2     &  & &  &      &  & & & 2   & &   &  & & &  ,.1 &       &   &  &   &  &&      &  &   &   & &   & &    &  &  & & &  & & & & & & & * &))))))))))))   &  &   & &  )   &  *   *       &  *  &   *       &  *  &   *       &  *  *       &  *  *       &  *  *       &  &  * &  & &**     ) **     ) **    ) *                                  &* )      **      **  &*     ) **                             *  )     ) )*           &    & &   &  &      &  &       ' & &         ' & &              &      & &       & &   &    &    & & & ,.   & & &  &    & & & 221     & & & & & * &   &  &  &  & &  &       &  &  & &  & &              & &              &    &    &  & &   & &             &    &   &  &     & &     &     & &       & &     &     & &  &  & &  &       &  & &    &  &    &  & &  &   & &  & &   & & & ,  & & 2     &  & &  &      &  & & & 2   & &   &  & & &  ,.1 &       &   &  &   &  &&      &  &   &   & &   & &    &  &  & & &  & & & & & & & * &))))))))))))))))   &  &   & &  )   &  *   *       &  *  &   *       &  *  &   *       &  *  *       &  *  *       &  *  *        &*  &  & )      **      **  &* )      **                                 *  )    ) )*             *      **      **    *                             *  )     ) )*           &    & & &   &  &     &     &  & & 2          & &       &  &   &    & & ,  &           &  ,.  &  &  ,.1 &   & & & & & * &  &  &     &  &   &  & 2      &     &                     &                     & &                     & &  &  & &  & &  & &,  &  &  &      &  & &  &  & &      &  & &   & & 2 & &2  & & &      &  &      &  & &  &  &      &  & &   & & 2  &   &  &  &  &   &     &   &  &   &&      &  &  &   &  &  &       &   & &  &    &  & &  & - ,  &         &       &  ,.  &  &  ,.1 &   &  &  &     &  & & &   &    &   &  & & 2   & & & & & & & * &)))))))  &  &   & &   &  *   *       &  *  &   *       &  *  &   *       &  *   *       &  *   *       &  *   *        *      &   *      &   *       *       *       *      & & &    &    & & & & & & &)))))))))))))))))))))))))))   &  &    &    &  &  &   & & &  &  & &  & &  & &  &  *              *   *   *  &   *   *  &   *  *)* **  &   &   &*              &  &      *** & &  ** ** **       &' &      *      *   &' &  )  *  &  *  &  * **                **    & &    &  &* **  & & &**  ) )  )) * *** * &* )    &        & & && &**    & & &    *  *  *  & & &       &     &**      &     &**        &  *   *   *     **    *) * * * *) * * *   *) * * * *) * * * & & ,   .   &    &   & & & & & & & * & & &))))))))))))))   &   & &   & & &-  & &   &    &  &   &&      &   &  &       &  &  &  &  &   &   *   *   *    *     *     *      &     &     &      &   &     *         **     & &   & &' &               &  &      & &  &)*   &)*  )  * *  ** *  ** *  ** * )  * *  ** *  ** *  ** * * *  ** *  ** *  ** * * *  ** *  ** *  ** *  & &  & & 2  & &  & 2     &   & & &    & &   & &  & & & & & & * & &    &  &   & &  &     &     &    &    &     &    &     &     &    &      & & & & & * &))  &  &   & &  )  & &* )   &  *   *      &  *  &   *      &  *  &   *      &  *  *      &  *  *      &  *  *      &))))))  & &  &  )&   &  )&    &  & &  &  &   , &  & & & , & &   & , &  &   , &  & & & , & &   & , & & & & &  & &  & & &  &  &   , &  & & & , & &   & , &  &   , &  & & & , & &   & ,  &  &   , &  & & & , & &   & , &  &   , &  & & & , & &   & , & &  &  &   , &  & & & , & &   & , &  &   , &  & & & , & &   & ,  &  &   , &  & & & , & &   & , &  &   , &  & & & , & &   & , &  &  &   , &  & & & , & &   & , &  &   , &  & & & , & &   & ,2 & &  & &   &     )  & ) )  ** **  ) & ) )   & & **  **   &    &    &    &    &    & & , ) .  & & , ) . &     &      &   &  &     &  &     &                      & & ,  &.  & & ,  &. & &     &        & & & &    &     &         & &      & &     &    &    &  & &  & &    &    &    &    &  &  & )  & )  & )  &  & )  & )  & )  &  & )  & )  & )  &  & )   & )  & )  &  & )   & )   & )     & )  & )   & ) &               &    &            &    &            &    &            &    &            & & &     &        & & & &    &     &         & &    &  &  &   &   ' & &      , & & &    & , & ,    & ,2 &   &  & * )  &* )   &    & * )   &    &  )   &  )   & * ) ) ) )  *) * *))*   &    &    &    & & & , & &.21 & &     &        & & &  21 & &  &    &    & & &  & &   & & & &     & &               &        &   &   &                  &  &       &    & & &   & &   &   & & & & & & &))))))))))))))))))))))))   *  & ) & &**   &   *  )  &    &  &  **  **  ** &  *    **     **   *   * *  & *    *  * ** *)*  * *)) *  )  & &  *))) *))) ) ) ) )  ** ** )   )  )   )   )   )   )  )    )  )  ** ** )  )    )  )         )        & &))*  ** ** )  )   )  )   )      ) ) ) )  ) ) ) ) )  )  ) &   *  *  *)  &* &* &)*  )  * ))  &)* * * * *  * * *  &  &  &   & & &      & &  &      &    &    &  & &   & &      &   & & & & )))   & & & &    & & &  & &    & &    &   &   )))  & & &  & &    & &    &   &    & & & 2 )))      &   & & & &  & & & & & & &  & &    & &    &   &    & & & 2   &    &  & & &  &  &    &  &   &         & &  ))))      & & &     & &    &      &*     & & &   &    **    **    & &   & & & & & &  &  & & & & & & &  &   )))  )))  )))  &    & &   & &      & & & & & & & & &))    **  **  ** & **))) & ) * *)))  )*   * * *  &  &*** & &&*   &  & &  ' & &*  ) ' &&*  ) * *)  &  &  &  &      &    &    &    & & &   & &   &   &    &    & & &   & &   &   & & & & & & &)))))       **  **  ** & **))) & ) * *)))  )*   * * * &  &*  &  &&) *  ) *)) & )))   &))*  *)*  ) *)*  & &* * * & &* * *  & & 2  & & )))   &))*  *)*  ) *)*  & &* * * & &* * *  & & 2  & )))   &))*  *)*  ) *)*  & &* * *  & & 2  &   &))*  *)*  ) *)*  & &* * * & &* * *  & & 2    &   &  &    &     & * * * * *))  ) ) ) )    &  &  * ) )      &  * ) )      &  * ) )      &  * ) )       & * )   &*  ) ))  &   &*  ) ))  &  &  ) ))  &  ) ))  &  &  &  & &  & &    &   &      & &  & ,.  & & & & & & & &))))))))))   &  &  ) & &  &   &  *  *   *  *  * &  *   &  *   &  *   *  &  *  &  *                *       *       *      &*     )   &)* , ** ) &)* 2  &  &  &   &    &      &   &                                 & *      & *      & *        & & & &))))))))))))))   &  &  &  &   &  & &  &      &  &        &     )  )  )  )  )  )  )  ),  &)*   &)*  )  )                         ,  &)*   &)*  )  )                                   2  &    &  &    &              &              &              &            ,  &   & &   & &   &              &              &              &            ,                 ,  & &   & &   & &   &              &              &              &            ,2  *  *  *  *  *   *   *  &  *   *   *     **                                         & & & &))))))))))))))   &  &  &  &    &  & &  &      &        &  &        &     )  )  )  )  )  )  )  ),  &)*   &)*  )  )                         ,  &)*   &)*  )  )                                   2  &    &  &    &              &              &              &            ,  &   & &   & &   &              &              &              &            ,                 ,  & &   & &   & &   &              &              &              &            ,2  *  &  &  *  *  * &     & &**   * )   * )   * )     &  *   *   *     **                                         & &**   * )   * )   * )     &  *   *   *     **                                         & & & &))))))))))   &  &  &  &  &  & &  &      &        &  &        &     )  )  )  )  )  )  )  ),  &)*   &)*  )  )                         ,  &)*   &)*  )  )                                   2  &    &  &    &              &              &              &            ,  &   & &   & &   &              &              &              &            ,                 ,  & &   & &   & &   &              &              &              &            ,2  *    * * * * * *        *  *  *                                       &                & *   *   *     **      &  *      &  *       & *   *   *     *         &               & *   *   *     **      &  *      &  *       & *   *   *     *         &               & *   *   *     **      &  *      &  *       & *   *   *     *         &               & *   *   *     **      &  *      &  *       & *   *   *     *         & & & & & & &)))))   &  &  &  &               &              &   &   & &-   &  &       &  & &      &  & & &   &    &  &   &  & & &       & &* )    *    *       **   &    *   &     &)* *   &  &    &  &  *   *    &      &  *    *       )* )   *  )   *   *  )        &  *  *                        *   &   *   &   *  **              &   )*  &     *))   &  &  )    &))) *     &))) *  )  ))  **     )   & & ,  &.  & & ,  &.    &  &     & & &))))   &   & &   &   &     &       &       &    &  & &   &  &   & **   &   & **   &   & **  **  &    &    &       &     & ,   & .   &  &  & &    &                   &  & &    &                 & &    &               & & & &))))))  &    *  *    *  *   &* ) )  &* ) )  )   &   &   &  &   & & & )  & & &  &  & & & & & & & &   & & & &)))))))))  &   &)*  &* )      &  &  &*         &  & 2      &  & 2     &  , .   &    &       &   &  & & 2 &*   &*   &   &     &*     &  )) )) *   & * * * * &  * * * * * * * *   & & & 2 , .  & & 2  & &   &   &  &  & &  &  &     & & &  &&           && '   & &  &&   &   &    & &  &&  &         &    & &           & & 2     & & &  &&   &    && '   & &  &&   && '   & &  &&   &     & &           & & 2  &   &   & & &  &&  &    && '   &  &&   & & &  &&  &         & & & &   &       &  &  &      &  &      &  &   &    * * & & & * * & & & * * & & & * * & & & &   &  * * &** &** &** * * &** &** &** * * &** &** &** * * &** &** &**   &   & * * & &)))    )  )   &* ) **  ) **      &  & ) ) ) ) &  &  &     &  & ) ) ) ) &  &  &     &  & ) ) ) ) &  &  &     &  & ) ) ) ) &  &  & )  &    &  & )) )) )) )) &  &  & )  &     &  & )) )) )) )) &  &  &  & & * *)))))))))))  &* *  ) *  ) *    &  &  & &  &)*   &)*   &)*  * * * **  & &   &) &* *  ** **   * * * * * & & & ,  &.  ) *   & &    &) &* *  ** **   * * * ** * * * * * * * *) * * * * * & & & ,  &.   &            &     &     &    &      &  & &   & & &-  & &   &    &    &  & &   & & &-  & &   &    &    ))) & &      &  &    & & &   & &   &   & &)))  &    )* &- & * -   ) * -   ) * - &    &  &    &  & &  ,     &      &  &  &          & &  &**   ,  & & &    2  & , .      2 &   &     & ) & & & &)*   * &*  &  & * ) ) ,   ) ) )2 ) & * ) )  &  & &   & & &-  & &   &  &  &   ,  & & &  & &   & 2   , , 2  & )) &  &)* *  &)* *  &)* *   & **))) & **) )) &   &) &**** *)))  & )))  & & & & ) & &&*   &'  & & &    &     &    &    &   &      ) & &*  &   & &   & & &-  & &   &  &    & &    &  &)* *  &)* *  &)* * **   & **))) & **) )) &   &) &**** *)))  & )))  ) *  & & ) & &&*   &'  & & &    &     &    &    &   &       &  , *  & )  )  &  &       & **))) & **) )) &   &) &**** *)))  & )))  &* &  )* )*     & 2  ) &*  &   & ))     & & & & &    )  & & &     & &    & &*  ) )*   &)  &   &   ) ))*   &   &   &   )))*   ) ))*   &   )))*   &   ) ))*   ) ))*   ) ))*   ) ))*   &   ) ))*   )))*   )))*   &   &      ) ) )*   )))*   )))*   &   )))*      &   &   &   &   &   &   &    &))))))  & &   & & &-  & &   &       & **))) & **) )) & **)))  & )))  &* )) )* * & &&* * * ) )* * * & ) ) )  )  &   &  &  & &  & &  &   *  *    ** *-  *  *   *  &  * *  &      &    &    )   &     &    )  )  )    &))*  ** ** &              )                  & & , &. ) ** )   )    &))*  ** ** &                                &    &           )                 &    &    ) )     ) )    )                  & &  , &.  & &      &                   & &    & &      &               &    &                2 &  &     )   )   )                )  )    &))*     ** **           )                  & &  , & &.   & &  &    &                221  & &   & & & &      )*       &  & & & 2       )   )                    )    & &   &  & &   & &   &  &      &     & & &   &      & & & 2   &  & &     &         & &    &     &        & & & &           *  *    * &    &    &    &  & & &  & && & &  & & & && & &    & &  &  & &   &    &                & &))))))   &   & &    & &   &     &       &       &    &  & &   &   *      **       **    *  **    &            &   & & *    &                     &     & ,   & .   &  &  & &      &                 &  & &    &                 & &    &               & &))     & &   &  &   & &  &  &  &  &   &     &   * )    &   * )     **    &     &   )*   ,  ,    **          **  ,  &     &   )*    2 &    &     &   )*  )     **      **   ,      **   &         &, &    ,    **  ,     &     **   2 &      &  )    **       **   &         & , &         ,2    &     * )    &    &     &   )*     **  , ,    ** ,  &  '' ,. )   &  &     &   )*      **  , ,    ** ,  '' ,.        &  '' 21    &      &    &  & &  ,  & , .    & &   ,. 21  &  ''   &    &  &       &   )*    &   )*      **      **  &       ''    &  &     )*     **   ,     '' ,.   &  &     )*  ,     **  ,     '' ,. 21     &  ''   ,.  & & & &   &         &  &  2  & &   &  &   & &  ,  &  ,.21 &  &  &   &                 & & & 2         &  &   &  & 2      &            &   &   &&  & &  & & &&     ,2  &  &   &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &          &  &   &    &  &     &  &     &           &    &  &     &  &     &        &  &        &  &    & &  &     &  &   & &  &  & &   &    & & ,  & & & ,.   21    &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &          & & & & & & &  &    &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &            &            & & &       & & &      &           &    &          &  &     &  &  &  & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &            &   &                  & & &  &  , &  &. &  &   & &   &         &  &  2 & & &   &    &&  ,  &  ,. &    &         &  &  2   &  &   & & ,  &  ,.21 &  &  &   &                 & & & 2         &  &   &  & 2      &            &   &  &&  & &  & & &&     ,2  &  &    &  &  &  & & &  &      & & 2    & &   &  &   & &  & & &&-      & &   &  &   &   & &  &   & &      & & 2    & &   & , &   & &  & & &&-    &     &       &     & &  & ,. 21  &  &&                     &   &   &         &  &  2  & &   &    &  && ,  &   ,. &   &     &  & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &          &    &  &    &      & & &   &  & & &    & & & &     & & &          &   &  &     ** & & & &)))))))))   ) &  & &*  &*   &   ) ) &  &* )  ) )         )     &  &      &*     &   & &   & & &-     & ) * &-    ,  &  &            &   ,  & & & &   ,   &*  )   ,    ,   &    &  &  &   , .21 &       )  &*    & & &*   &)* 2  &  &  2  &   &*   *       & &)))   &  &  & &  & & && &    * &*  & & & &*   &  &)*  2  &&  &  &&  & & &&  & &&     & & & &   &  &      &       & & & & & & & & &)))))))))))   &  &  &  &   &  &           &  & &&* &    &   &       &   & & & &     &  &  &**   &   )  ) ) &  &* &* &*  &  &  &  & )  ) ) & &         &  &               &    &    &     ) & &*   & &*    &  &  & &   & & &-     & ) * &-    ,  &  &            &  ,  & & & &  ,   &*  )  ,   ,   &    &  &  &   ,  .21 &  )  &*  & &    & &     &      &  &   &  &  &  &*    & &  & ,. & &     &      &  &                 &    &    &   &  &  &  &*    & &  & ,. & & & &*  &)* 21  &  &  2 & &    &  &  &    & &    & & & & & &*  ) & &*   & * & *  &  &    & * * &))))))))  &  & &*  &*   &     &  &  &  & &  &*  &  ) )     &  &      , )    &*   ,   & & &*  &)*   ,  &   & &   & & &-     & ) * &-    & * , ,  &  &            &  ,  & & & &  ,   &*  )  ,   ,   &    &  &  &  , .21 &  &*   , ) & &   &      &*  & *  ,  &  &   & &  & ,.2  &  &   ,.1 &   &  & &   & & & &))))))   &  &   *  *  *    &-    &-    &-  &  &   &      **   *  ,  & ,.   & &   &  & *  &  & & & &  )  ) ) ) ) ) ) )  ) ) ) ) ) ) )  ) ) )   & & &   & & & &   &  *  *  *  & & &   & & & &   &  & *   *    *    *  **      ***     & & ,  .   &   &   *  *   *   *   *   *   *  **            21              & & &)))))))))))   &  &  &  &  &  &  &  & &   &   &   &     &  &  &  &   &  &    &               & &   & & ,  &.   &    & &   & &-  &    &  &  & &)*   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &    &  &  & &  & & ,  & ,   &  & &    & -   &   &  & &   &*   &*   &*   &  & &)*   & &)*   &   & &)*   &    &    & & & 2    & &  &      ,  &  &   & &      &*  &*  &*  & &*   & &*     & &*            & &*   & &*     & &*          &    & &*   & &*   &   & &*   &    &       & &*   & &*   &   & &*   &    &    & & &      &   & &  & &    &       & & & 2  *   *   *   *   *   *    *    *    *     **              & ,  & &  & & & &   & &      & & 2   & &   &  , &  & & &  && ,  &2      &  &        &             & &         & & & ,.   *    *    *     **                **     & & & &   & &      & & 2   & &   &  , &  & & &  && ,  &2      &  &                  & &        & & & &   & &      & & 2   & &   &  , &  & & &  && ,  &2      &  &        &             & &        & & & &   & &      & & 2   & &   &  , &  & & &  && ,  &2      &  &                  & &       &    & &  & & & &   & &      & & 2   & & ,  &  , &  & & &  && ,  &2  2    &  &        &             & &         & & & 221 &  &     & & ,   & & ,. &    & &   &  & & ,    & & &  & &  & &  & &  & &  & &  & &    ** )     ** )     ** )               & &    & &    & &  & & & &  & &     &  &              *   * )    & )  & & & &)*     &**     &**     &**  ) )  & & &  &*  & ,   &   & &   &  ,   &  &*  &)*   & *   &*     & *         &  &  *  *  *    &-    &-    &-  & & &    &     *    * ,   * ,2  &  ,.1 21  *  *  *    &-    &-    &-     &     *    * ,   * ,2  &  ,.121  & & & &   & &      & & 2   & & ,  &&  , &  & & &  && ,  &2  2    &  &  &     &    &    &    &    &     &    & & ,. & 221  & &  ,.1 &  &  &  &  &  &  &   &)   &  &        & &)* *) *      &  &  &  & & & &                  & & 2   & & &   &     & & & 2   &    &    & 2    & & & &)   & &        &  &  &      &   &  *         ***  &   & **  &   & **  &   & **  , &  &  *     **  &   **  &   **  &   **     & 2 &    & &  & &              &   *  &    *  &  &  & & & , .     * &))))   &  &  &  &  &  )  **               &  &    **   &  &    **     **       **         &              *    *      &  *      &  *         *      *      *   *   *   *          )  )  )  &              *   *   *   *    **    *  &   *   &  *   &    **  **           )    *  * * & & & &)   &      &    &  & &  ,  &  &   ** ,  & &  ,  &  & *  * ,  * 2   & &.1   & &.1  * &  * &    **       ,      ,      2  *  *  &   *   *   *   *         &  & &   & &  &  &   & &  &         & & &   & &   & &  &     &   & &  &    * * & & & & & &)))))))   &  &  *   & & &   & & &,  &, &  & & &  & 2   *          &  &  *   & & &   & & &,  &, &  & & &  & 2   *          &  &  )  **   )  )  )  &                **   &    **   &    **  **           *  &  &  &  &  *  *      &  *  *      &  *  *      &  *      &  *  &  *      &  *  &  *      &  *  &  *      &  *  *       &  *  &  *  &  *  *  *  * **    **    **                        *   &  &   *   *   *  **           &  *  *      &  *  *      &  *  *      &  *      &  *  &  *      &  *  &  *      &  *  &  *      &  *  *           &             & & , &.  &&     &&     && &   &   &    & & &))))))   )  &  )  &  )  * *  )     ) &*      &  &*     &  * * )  &  ) &*      &  &  &*     &  &  * * )  &  ) &*      &  &  &*     &  & &  &    *   *   *       ****               &   & & 2  &  **            0              & & &)))   *  *  *    &-    &-    &-   &   &   &  &      **   * ,  & ,.  &21  &  &  &   &           & & & 2  &           &  &   &  & 2       &             &    &  & &&          & &   &  &      &  &     &     & 2  &   &  &    &     &   &  &    &     & &  &                                       &                                    &                                    &                                    &                                    &                                    &                                    &                                    &   & & &   & &&             &     &                &     & & &   &  & & &   & -   & & &   &  &   && &   &   & &&                           &   &  &    & & & 2,  &  &  &    &  &  & & & 2  &  &  & &&,2 & &   &       &    & &   &    & & &  &&  &  &&  &  &&  &  &&  &  &&  &  &&  &  &&  &  & &      &  &  &  &  &  &  &   &   & & &   &  &          &   &    &        &      &    &   &  &  &   &  &  &   &  &  &   &  &  &   &  &  &   &  &  &   &  &  &   &   &   &   &   &   &   &   & & -         &   & &   &   &                  &      &    &         &  & &    & &      &    &   &    &     & &   ,  & & & 2      &  & &  , .  & &  ,.1 &   & &   ,  &  ,   & &   ,. &   &  & &   & & & & & & &   &                        &  &  &  &   &   &       &   &       &   &     & & & & & &   &                        &  &  &  &   &  &               &  &               &  &                      & &   &              &  & & & & & & &  &  & &  &  & &  &  & & &     & &  &   &     & &  & & 2                                                    & & & & & &  & & & &  &  & &  &  & &  &  & & &   & &     & &   & ,  &     & & ,. &  &  &  &     & &  & 221                & &   &  &        & &   , &   ,. &   & & & & & & &)))))))))))))))))   & &)*   & &*   & &*  &  & &**     & *     & *          & &   *   & *   & *      & & 2 )  )  )                     &    &    &     &    &  &    &  &      & , &  &   & &        &  & &     &  & &     &  &        &           &   &    &   &    &     &   &              * )********** &&&&&&&-                      ***   & &  &             &    &   &    &   &   &   &              * )********** &&&&&&-                      *** 2  & & 2  & & & & & & & &))))     & &*   & &*   & &*          &  & &*  & &*  & &*         ,!  &  & &*  & &*  & &*         ,!  &  & &*  & &*  & &*         ,!  &  & &*  & &*  & &*         ,!  &  & &*  & &*  & &*         ,!  &  & &*  & &*  & &*         ,!  &  & &*  & &*  & &*         ,!  &  & &*  & &*  & &*         ,!  *  *  *,!"21 &)*    & *    & *    & *   & &  &    &    & &  &   &    &    &   , ,  &  & ,   &   &     & & ,  &   , & ,.  &   &   & 21  & & 2  & & &   &  &  &  &   &  &  &   &  &   &  &    & & & 2  &  & &   &  &   &  &   & &                                                                                                                                                                                                                                                                                   &         &   &  &   &  &   &  &   &  &   &  &   &  &  & &  & &  ,  &.  &  & &                   &                    &                                                                                                                                                                                                                                                &        &          &    &   &  &  &      &  &      &  &      & & 2  &  &  &  &  &  &  &  &         &     &    &  & &    & & &   &  & &  & & &                     &    &    &    &     &       & & &  & &   & &   &       & & &    &   &   &   & & & & &   & &  , & &  ,  &  &     &       & & &    &   &   &   & & & & &   & &  , & &  ,  &  &    2      &            &          & &  &    &   &  & &     &      &  &  &   &  & &     &      &  &  &   &  & &     &      &  &   &  & &     &      & & 2   &          & &  &    &   &  & &     &     &  &  &   &  & &     &     &  &  &   &  & &     &     &  &   &  & &     &     & & 2  & & 2   & &  &    &   &     & & ,  &   , & ,.  &   &   &   &    &    &   21  & & 2    & &       & &  , & 2 &    &   &   &      & & 2   &   &   &  &  &  &  &  &  &  &  &  &  &  &    & &   *   *   *  &      ''''''    & & & &     & &  &   &     & &  & & 2  &  & & & & & & & & &   &      &     &      &  &  &  &  &      &''                   & & & &    &   &   & 2    &    &  &  &  &  &     & &  &   & &-    &     & & ,  & & 221                               & & &   &        &   &  &     &  & & , & 2 &            & &  &     &    & &       &  &       &  &       &   &  &          &  &          &  &          & & 2   &     &     &     &     &     &      & &   &   &  &         &  &         & &  &      & -   &   ,,  &  ,,2  & & 2  & &  ,.1 &   &   &  & & &    &    &   &  &   & & & & & &   &   &  &  &    & &  &, &   2      & &   &   &   & &   & & 2        &    &     &     &     &     &     &      &     &   & &      & &  ,  & &   ,  & &   ,  & &   ,  & &  ,. &  &    &  & &  ,  & &   ,.  & &   & &   & &    & &  & &  & &   &  &   ,  &    -   ,  & & ,. &   &21  &  &  &      &  & & & 2      &  &     &0                   & &  & & &  & &  ,  & &  & &  ,  & &  & &  ,     &    &    &      &  &   &   &  ,  &       & & 2  & &  ,.1 &     & &     & &  &                &                & & & & , & ,.    &21    &                 &  &  &            &            &            &            &            &              & & & & & & & & & &   &  &  &  &  &  &  &      &    & &    & &    & &    & & &    &    ,  &  & ,  & &   &   &    ,   &  & ,   &2 & & &    &    & & &  & &  & ,                   &       &      &&   &2         &  & &  &  &    &   &      &        &    &   &  &          &     &  &     & &    & &    & &    & & & &-    &                   &       &      &  & &    &  & &     &   &     &  &    &  & & & &    & &   & & & &  ,  & & & 2  & & & ,.1  & 21 &   & &   &       &   &  & &        &  & & 2  &                 & & & & & &))))))))))   &  &  &   & &  & &  &   & &  & &  &     &                                                &       &    &  &        &              &              &          &*  &*  &*  & *   & *   & *   & *   & *   & *        &      &    ** )                   &))))))))))))))))   &  &  &  &  &  &  &  &   &  & &    &  &  &    &  &  &      &  & & & 2  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &    &    &  &    &    &                                            *  *    **    **    **    *  *    **    **    **    *      ***    **    *  *  *  *  *  *   *    *  *  *  *     )       ))  ))  ))  ))  ))  ))    &  &  )   )       &  &  )   )       &     )    & & ,+    )   &+.  & & 2  & & 2  & & &  &  &  &  &   &     &         &  &   &     &         &  &   &     &         &   &     &        !  &  &  &  &   &     &         &  &   &     &         &  &   &     &         &   &     &        !  &  &  &   &  &     &         &  &   &     &         &   &  &     &         &   &     &        !  &  &  &   &  &     &         &  &   &     &         &   &  &     &         &   &     &        !  &  &  &   &  &     &         &   &  &     &         &   &     &         &   &     &        !  &  &  &   &  &     &         &   &  &     &         &  &   &     &         &   &     &        ! !" & &   &  &    &  &  & & &    &  &    &  &   &    & &    & &   &   &    &    & &    & &   &   &    &   & &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  & & & & & & & & & &  & &&  & &&  & & & & & & &  &    &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  & & & &  & && & & &  & &&  & & & & && &  & & &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  & & & & & & &  & &  & &  & &  & &  & &  && &    & & & & &  & & & & & &    & & & & & & &  & &  ,   &    &     &2     & & &   &    &  &    &  &    &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  & & & & & & & & & &  & &&  & &&  & & & &  & & &  &    & &    & &    & &    & & & & &   &    & &    & &    & &    & &    &   &   &   &                         &   &  &   &   &  & & & & & & &    &   &   &  & & & & &    & & &   & & & & & & & & &   &  &  &  &  &  &  &    &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  & & & & & & &  &  & &  & &  & &  &&  &&  && &  & & & &  & & & & & &  & &    ,  & & & & & & &      2         & &     & &     & &         & &    &  & &    & & & &    &                          &       &         & & &  & &  &  ,   &&   &  2 &   &    &   &  &          &         & &  &  &    &     &  &     & &    & &    & &    & & & &-    &  &  & &    &  & &    &    &   &    &  &    &  & & & &    & &   & & & & ,  & & & 2  & & & , . &    &21 & &    &  &  & &   &   &   &      &  &  &   &  &           &  &  &   &  &           &  &  &   &  &            &  &    &  &    &  & & & &    & &   & & & & ,  & & 2  & & & , . & ,  &,21  & & 2  & &   ,  .1 &   &    & & & &    & &      &   &    &   &   &  &   &  &  &    &   &   &    ,    &    &  , &  ,.     & &   &  &&  & & , 21 &   &  ,  &   &  & ,   &  & ,   &  & ,     &  , .21  &         &        &          &         & & & 2  & & & & & & & & &   &     &        &  &  &  &   & &   &  & &  &  &    &                & & 2                           &     &     &     &     &  &   &     ,  &  ,       ,    & &      & &     '' &         '' &      & &      & &     '' &         '' &                  &    &     &    &   ,        ,         , 2        &       &  &       &  &       &  &       & & & & &   &  &   &  &  &  & &  &    &  &    &  &  &    &  &  &    &   &      &   &        &   &       &   &       &   &    &      & & &   &  &   &  &  &  & &    &  &    &       &   &   &       &     ''    &  &  &&  & &           &  ''    &  &  &&  & &           &  ''        &  &  &&  & &           &  '' ,   &  &  &&  & &           &,       &  &  &&  & &           &     ''    &  &  &&  & &           &   &           &2  & & & 2  &    &  &  &    &           &   &    &   &        ''    &  &  &&  & &           &  ''    &  &  &&  & &           &  ''        &  &  &&  & &           &  '' ,   &  &  &&  & &           &,       &  &  &&  & &           &     ''    &  &  &&  & &           &   &           &2  & & & 2  &'    & & &  &&      & & & & & & & & &   &   &        &  & &     &  &               &  &  &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  & & & & & & & & &  &  &  &  &  &  &  &&  && &  &  &&    &     &     &     & & &   &  &  & & & &    & & &    & & &                & &  & &  & &           & &  & &  & &           & &  & &  & &           & &  & &  & &  &     &     &     &&  &&  &   &&  &       &    &    &     & &    &                  & & &    &                  & &       &                   & &  &       &                   & &    &                  & &       &                  & & &  &       &                & &  &       &                &    & &    & &    & &    & & &   &  &  &   &  &  &   &  &   &  &  &   &  &   & &&   & &&  &    & & & &    &              & &   ,2  &  &   & &  &   & & & &  &    & & & &    &    ,2  &  &  &  &  & & &  &    & & & &    &  &   &               ,2  &  &  & &  &  & &  &    & & & &    &              &                ,2     &   & &  & &    &  &      &  &    &  &  &        &  &     &     & &       &         &        & & & 2             &    & &    &     & & & & & & & &   &  &   &  & &   &  &    &    &  ,  & & &   ,.  21  &  & &   &  &    &    &  ,  & & &   ,.  21  &    &  & & &  &   &  &    &   &  &    &  & & &   &  &    &   &  &    &  & &  &   &  & &  &   &  &   &             & & ,  &.    &   &  &    & &   &    & &  & &    & & &  &   &  &   &   &   & & &  &   , & &   &  &   &               & &       ,   &  &  &  . &     &   , &   &     2  &   & &  &   & &  &    & & &   & &    &          & &  && &    &  &  &  &   &    &   &                                          &          &   &  &     &       & &  &   & &      & & 2    & & ,  &  , &   & & &  && ,   &2   2  &             & &  &      ,.1 &  &   & & & & & & &   &  &  &     &       &        &   &     &                     &    & &   &    &   &   &   &   &   &  &  &   &    &      &     & &  & & &           &     &    &    &   &   &   & & & 2  & &    & &   &  &  &  &   &   &   & &   & &   & & ,  & & & ,. '    & & &   &  & &  & &  & &  & &  & &  & & ,  & & & 2 21   & & & & &   &  &  &  &   &  & &  &         &  & &  &  & &   &  &  &          & & &-    &            & &  & 2  &        &      &   &       &   &&    &    &    &       &  & &  & &      &  &   &  &   &                                       &         &      &  &  & &   & &      & & 2    & &   &  , & & &  & & &-             &       & &  &      ,.  &  & & &   ,.1 &       &    &   &    &  & &   & &-   &   & &  & & &  & & & 2     & & 2  & &        &  & &  &  & &   &  &  &          & & &-    &            & &  & 2    &     &   &      &     &  & 2    & & &   &  &  &  &    & &         &  &  &  &  &  &  &  &  &      &  &  &   &       &       &     & &  &   & &  & &  & &  & &  & &  &   & & & &  & &  & &   &   &    ,  & , &   &    & , &       &   &       &  &  &  & &  &   & &      & & 2    & &   &&  , &   & &  & & &&-      &  &  & &  &  &      &  & & & 2    & ,2  &    &          & &-    &        21  & & 2   & &  &    & & & &    &   & &   &   &    &  &  &  &  & & 2 &  & & & 2 &  &   &     & & & 2   &    &  &  &  &    &  &  & & 2    & 2  & &  ,.1 &  &   &   & & & & &   &  &  & &          & &        & &        & &        & & &  , .         & &  &,.  & &    &  &                          &    & &  & & & &   & & & &  & &   ,  & &  ,. &   &  & & & & &  & &      &                                                                                                                                                                                                                                                                           &    & &   &                                                                                                 &   &       &               & & , &.  &&  & & & & &    &   &   &   & & &    & & &      & & &  & &  & &  & &    &  & &  & &   & & &  & &   &    &&  & & & &  & &   &  & & & &       & &   &    & & & & & & & &   &  &  &       &                              &!  &       &                              &!  &       &                              &!  &       &                              &!  &       &                              &!  &       &                              &!   &!"   &  &     & & &    & & &        & &             &     & & &    & & &   &       & &   & & ,  &  2  &     & & &    & & &   &       & &   & &   ,  &  2  &     & & &    & & &   &       & &   & & ,  &  ,!  &     & & &    & & &        & &             &     & & &    & & &   &       & &   & &  ,  &  2  &     & & &    & & &   &       & &   & &   ,  &  2  &     & & &    & & &   &       & &   & & ,  &  ,!  &     & & &    & & &        & &             &     & & &    & & &   &       & &   & &   ,  &  2  &     & & &    & & &   &       & &   & &   ,  &  2  &     & & &    & & &   &       & &   & &  ,  &  ,!  &     & & &    & & &        & &             &     & & &    & & &   &       & &   & &  ,  &  2  &     & & &    & & &   &       & &   & &  ,  &  2  &     & & &    & & &   &       & &   & &  ,  &  ,!  &     & & &    & & &        & &             &     & & &    & & &   &       & &   & &  ,  &  2  &     & & &    & & &   &       & &   & &   ,  &  2  &     & & &    & & &   &       & &   & & ,  &  ,!  &     & & &    & & &        & &             &     & & &    & & &   &       & &   & &   ,  &  2  &     & & &    & & &   &       & &   & &   ,  &  2  &     & & &    & & &   &       & &   & &   ,  &  ,!   !"21  & &  & &     &  & & & & & & & & & &   &  &  &     &        &  &  &  &   & &  &  &        &           & &&&-   ,  & &   ,. &   &            &      & &   &  &  &  &  &    &    &      &        &   &  &  &      &  &     & &    & &    & &    & & & &-    &      &      & & &    &  &    &  &         &  & &    &  & &     &   &     &  &    &  & & & &    & &   & & & &  ,  & & & 2  & & & ,.1  & 21 &   & & &     & &   &  &  &  &   & &   &  &  &   &       &  &  ,  &       &  & ,       &  & ,         &      & && & &&         &              &                &                  &           ,2         &      & && & &&         &                &                &                &           ,2         &      & && & &&         &                &           21 &    &       &  & ,       &  & ,         &      & && & &&    ,2         &      & && & &&         &                &           ,2         &      & && & &&         &                &                &                &           21         &                &           &      ,  &  ,  &  '' ,.  &  &      ,   & ,  '' ,.         &              &                &                  &         &  '' 21         &                &         &&  &&              &          &    &  & &  ,  &  , .    & &  ,.  21  &  ''      &  &       &  &   &           &        & &&            &                &         ''    &  &       ,   &  ,         &               &         '' ,. 21 & &&              &         &  ''   ,.  & & &   &  &  &     &   &  &   &  &   &   &   &   & ,  & ,.  &21  &  &  &   &         & & & 2  &           &  &   &  & 2       &             &    &     &                        & & &   &  &   &         &        &  &  &          &  &  &  &  &  & &     & & 2  &   &     & &   &  &   & &  & & &&-    &      &    &  &  &&  &    &     & &   &  &  &  &  &  &  &  &     &   &  &    &   & &  & &  & &  & &  &   & ,  & ,.  &  &21  &  &  &   &         & & & 2  &           &  &   &  & 2       &             &    &                        &  & &   &  &   &           &  &   &       &  ,2  &  &     &     & &  & &  & &  & &  & &  & &  & &  &   &  &      &  &     &  &  &  &    &  &  & & 2     & 2  & & & & & &   &         &   & &    &  &   &  &    &  &  &   &  & & &  & & & & & &   & & & & & & & &  ,          2 &  & & & &   & & & &   &   && & &  & & & &   &            &   &   & & & &     &   & & & &     &   & & & &  & & & &   &              & &  & &   & & & &   &   && & &  & & & &   &            &   &   & & & &   &   & & & &   &    & & & &  & & & &   &            &  & & &  ,  &  &.  &  &                            &   &    &  &  &   &  &    &  &    &  & & & & & & & ,  & & &  , . & &    &   &         &  &  &  &   &  &    &  &    &  & & & & & & & ,  & & &  , . & &    &   &         &  &  &  &   &  &    &  &    &  & & & & & & & ,  & & &  , . & &    &   &         &  &  &  &   &  &    &  &    &  & & & & & & &  ,  & & & , . &   & &    &   &   &         &  & & & &)      & ) &))      &   &     &   ** *   &    &   &   &      **  &    &   &       **  &      **  &   &   & & &)   &  &*    *   &    *   &    *                                                                                       & & & &))))))         &   &  *    &   &  *   *   * & ) &))      & &*   &     &   ** *    &       *  &    *  &     & & & 2  &       &  &         *     &    *  &  & & & 2      &  &     & &  0                 ))   &  &   &* &*   &)*    )    )   &         &       & & &  & &                             &  &  &      &   &   &       &  &    &  , & ,    2 &     &  &      **  &          &  &     &    &   & &)))))   &   & &     &     &    & &   & &* &* &)*  & *  & *  & *    & *         &        &   &                         & &     & & & &  & & &&  &   & & &  &  &  & & &    & & & &  & &&  &   & & &   &  & & &    & & & &   &  & & &     & &&  &     & & &       &  &   & & &   &  & && && & & &  &  &  &  &  &  &  &  & & &  & & &  &      & &  &  &     & &  &  &        &  & & &    &  &    &              & &   & , ,2  & & 2  & & & * & & &)))))   &   &  )  &  )  )   )    &  *  *  *      ***  )   )       ***               *      &  *      &  *     &   *       *       *                     **      &    **      &    **      *  *  *  *   *  *          ))))))))))))   &  &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  & &     &  &   &  &  ,  )      &  &   & &   &)) & & * & & & & & &   &     & & &   &     & ******* &-   * -         &  && & ,     , * * * )  &  *   *   *  & ) & * - ) )    &  &* ) )   ) )   ) )   )     ) ) )   ,    ))  ))  ))  )2    & & & & & &   & & & & & & &  & &    &          &  &  & & &   & & & &   & & & &     * )  &* &*   &*       &*          &  )  & &        &*  )   )   )  &     &      )  &* &-  &     & &&-  &    & & ,  & & & ,.   ,21     21 &  &                    & &  & &  & &  & &  & &  & &   & &  &   & & & &   &  &   & & & &   &  &   & & & &     &    &    & & &       &    &    & & &    & &    & &    &                     &       &             &    &     &     & & &    &     & & &   &       & & & &      & &  & &  &* &*   &*          &     &&    & &*   &  &  * *  * *  * *   &  & &   &             &* &* &*                  * * * &   &  &   &             &           &        2   & &   & & &-  & &   &  & &   &  &  & &  & &* &*   &*       &*                       &    & &* &*   &*       &* &*   &*       &                            &* &* &)*  )  ))    & *        )                                                                                                    &*   &*   &*   &*   &*   &* & &&)*     &   &     *  &&)*     &   &     *  &&)*      &&)*           &   &  **  &              &   &* &*   &*       &* &* &*   &*                                                                                             &     & & &    & &   &     & & & &      & & & &   &   &  &  &  &  &  &  &  &  &  &  &  & & & &  &  &    & &  &  &  &     & &  &  &        &  & & & &     &  &    &              & &  & &  &   & &       & &-    &    &  ,  &    &    &    ,2  & & 2     &  &    &              & &  & &  &   & &       & &-    &    &  , ,2  & & 2  &  &     &           & &   &  &   &  &  &  0                                  &  &  &  & &  &  & &     &  & &       &  &  &         &       & &        &  &         &       & &        &  &         &       & &           &           & & &   &                                   &  &  &      &    &  &  &  &  &  &       &        &         & & &   & &                         &  &     &  &     &  &  &   &    & &   &   &  &  &  & &   &  & &      & , .  & &      & 2  & &      & 2  & &   &  &   &  &  &      &    &  &  &  &  &  &  &  &  &       &        &                            &           & &   & &                         &  &     &  &     &  &  &   &    & &   &   &  &  &  &&  &     &  & &      &  , .  & &      & 2  & &      & 2  &   &   &    &  &  &      &    &  &  &&  &  &  &  &  &  &  && & &        &        &     &  &      & & &   & &                         &  &     &  &     &  &  &   &    & &   &   &  &  & &  &    &  & &      &  ,  .  & &      & 2  & &      & 2  &  & & &  & ,  &        &   &    &  &   && &&&&-    &   &  &  && &  && ,  &.  & & & 221 &    &       &  &   &    &  &   && &&&&-    &   &  &  && &  && ,  &.  & & 2     &   &   &  &&  &&  &  & &    & &  &    &  &   &&     &              &  &              &          &  &  &  & &   &   &  &&  &&   &    & & &  &  & & & ,  &.  &         &    &      &  &   &          &  &   &     &  &  &   &    &   &  &&  &&   &    & & &  &  & & & ,  &.  &         &    &            &     & & &   &   & &  &  &    &         &  &  &  &   &      &  & & & 2  &  &  &  &  &  &  &  &  & & ,  &         &  &   &              &                     & &            &     &       ,      ,2   &                                   & -   &  &  &  &&  &  && , ,   &   &  &  && &  &&  ,  &. 2 &     & ,  &  &. &  &          &    &  &      &  & & & 2   &                                & & & &   &  &  &     &    &   &   & &-    &  &   && & ' &&&&-                                    &      &  &  &    &  &  & & & 2    &  &  &&  &&    & &   &  &  && &  && 2  &  &     &    '  &     &   & '     ,  &    2      &    &     & & & & &   &  &   & &   & &-   &  &  &  &&  &  &&    &   &  &  && &  && ,  &.     &'    &    &  &    &  &     &       &    &  &    & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        &   &     &   &  &  &  &&  &  &&    &   &  &  && &  && ,  &.     &     & & &&     &  &&  && &     &  & &&        &                                  &  &  &  &  &  &  & &  & & && & &    & &   &  &  && &  && 2    & &   &   & &   &   &  & &   &  & & &       & & &-   &        & & & ,   .  &     &  & & & 2  &   &  &  &  &&  &  &&    &   &  &  && &  && ,  &.   &     & 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&   & & ,  & & &  ,.  & & 21  &    &  &  &   & &  &  &  &*  &  &*  ))   ))   & & & &                          &*  &*  &   &   )  )  )  )  )  )  )  ) ) )   ) )   &'   )       )      )  )    )  ) & &   )       )      )  )   ) ) ) ) ) ) ) ) ) )   &*   &*                            & &   &  &  & &   &  &  &  &  &  &  &  &    &  &*  * *  * *  * * &)* *   &   **  **  ** &)* *  & &* &* * * &  &* * * &  &* * * & * *   &  &   **  **  ** &)* *   &  & & &  &*  &* * * & * * & * * & * *   &  &    &  &  &  & & & 2  & & ,   &. & &   & & &-  & &   &     &  &    & & & 2   &  &    & & & 2   &   &   &   &   &   &   &   &    & & & & & &    &   &       &   & &       && & & & & & &   &       && & & &    &    &   &  &    & & & 2   &  &    & & & 2   &   &   & & &     && &  &    & & & 2       && &   &   & & & & & & & & & & & & & & &    & &    &    & & & &   &   &   &      &  & &   &  &  &      &  & & & 2          &   &     &   & &  & &  & &  & &  & &  & &  & &  & &  & &  & &  & &  & &  & &  & &  & &   &   &  & 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&       &   &    & & & &    &    & &   & &  & &  & & &  &  &  &  &  &  & & & & &   &   )&, &  ,2  &   )&   &  & & ,  &     & &  &    & & ,  & & & ,.  21 &  &   )&21  & & & & 2  &     & & & 2 & &  ,.  &  &  &     &     &     &     &     &     &     &   &  &    &     &   &  &    &     & &   &  & &  &    & & ,  & & & ,.   &  &21 &  &  &    & &  &   & &, &,         &              )  &              )  )  )  )  )  )  )  )  &                 &  & & &  &  &    & 2 &   & & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &   &        &    &    & &)       &   &   &     &   &  & -    &   & &  &,.   & & &  && )    ) & &  &  )    &  &  &    *     & & & 2  &      &   &     & &   &    & &  ,  &  ,. &    &  & &    &      &   &       & & &   &  &  ,  & &  &    , . &             &   & & & & &   &   & &  &          &  &  & & &&  ,     &      &          & 2 & &   &  &  &  & ,  &  ,.21 &  &  &          &      & 2      &            &           &                &   &     & &        &    &         &    &  &     -   &    &   & & & 2  & & &   &  &    &  &    &  &  &  &   ' &      &   &     &   &  &  &&  &  &    &   &&   &         &  & &  &        &         &      & &  &        & &  &     & &   & &   & &  &          & & & &     &    &    & &   & &   & &  &   & & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &         &   & &  &  &   & &  & & &    &  &  &     & &      & & 2    & &    &  &  &     & &  &   & & & & &&-    &      &  &  &     & & &))))))))))))   & &    &  *  *  * * * *     *    *    *    &   &  *    &  *    &  *  )       & & & 2    & &   &  *  & &  *   *  & &  *   *  & &  *   *  *   *  *   *  *     & & & 2  &    &   &      &   &   &  &   & & & &       &  &   & & & &           & & &&      & & &&  & & &    & & &    & & &       &  &           & 2           & & & & & & & &)))))))))   &  &   &     & &    &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &        &   &   &  & & &     & & & & &&-   &     &   & &  &  &  & &    &  &  & & &   &      &  & &       &  & & & &        &          &   & &      & & &  ,       &  & & &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &  &      &      & &   & &      & & 2    & &   &  , &   & &  & & &&-    &       &         &      & &   & &      & & 2    & &   &  , &   & &  & & &&-    &                   &  &    & & & ,   & &  ,. & & &  & &  & & &   &   &   &   &     ** )      ** )     ** )               & &    & &    & &  & & & &  & &     &  &              *   * )    & )  & & &  &*  &*  &* &)*    *    *    *  ) )  & & &  &*  &  &   & & ,   & & ,.21 &    &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &  &   & & ,   &  &*  &)*              *     *   *     *   &     &   &**   &     &   &**   &   &  &  &**   &   &  &  &**   &   &  &  &**   &   &  &  &**   &   &  &  &**   &   &  &  &**     &  & &  , &   & & &  ,       &  & & &   & &      & & 2    & &  ,  &  , &   & & &  && ,   &2      & 2  &      &      & &   & &      & & 2    & &  ,  &  , &   & & &  &&  ,   & 2      &  2      &      & &   & &      & & 2    & &  ,  &  , &   & & &  && ,   &2      2              & & 2   21  & & 2 & &  ,.1 &  &  &  &  &  &  &   & & & & &))))))))))))  & & &   & &      & & 2   & &   &  &  & &  & & &&-   &      &   & &   &  &  &     &        &               &   &               &   &               &   &                   *  *   *    *    *    *    *   *     *      &       &       &    ** )                    )   &      *              )   &  )   &  ) &    &  ) ) )    &  *       &  *       &  *      & & & 2 ) ) ) &*               &  )  )     &  *    **      & & & ,    & *   & *.21 ** ** **    )   &  **    ) ,   ) 2   *   *    *   *     *    *    )    &     &     &  &)*    &  &)*    &  &)*    &  &)*    &   )   )   )     ) *            &   )   )   )     ) *                   &))   *  * ) )  )*    & * *)*   **)*  & &   & & &  &  &  &    & & & & & & & & & & & & & & &))))))))))))))))   &  &  &  &   &      & &    & & & &&-  &  & &    &   & & & &   ,  &  &   ,   ,  &  & & & &  2  &  &   & &  & )  *   &  &  &  &  ' & &*  &  & &  ' & &*    &   &  &   & & *    & & *     &    &  )  &  )  &  )  &     )  &  )  &  )  &     &              &      &    *  *  *  *  *  *  *  * &  &     &  &  &    &  & &                 *   *   *               &  & &&))** )  &* **       &  & &&))** )  &* **      &  &   &-      &    &  &    *     *      *     *  &   &  & *   &  & *   &  & *     **      &  ) ))    ) ))    ) ))    &   ) ))    ) ))    ) ))       &  &    &  &    &  & )***     & &             &    &  &    * )     * ))      )* ))      )* ))           &            &               &      & & , & & ,. 21   &   & )*   & &   & & & 2              )*  )*     &   )*   )*                           & &    & &       & & &    & & & & &    & & &    & & &-    & & & & &   &     &          & & & 2  & & & & &   &  &  &  &   &  &        &  &  &  &  &  &  &  &  &         &   & &    & -   &   &   &  & &  &  & &  &  &   & &   &    &    & & & 2 ,    ,   &  &      & &  & &  & &  & &  & &  & &                          & &  & &  & &  & &  & &  & &                        &  & &    & &  & &  & &  & &  & &  & &                         & &   & &  & &  & &  & &  & &  & &                       &      & & &    & &              &  & & &     & &  &  &     & &  &  &     & & &    & &    & &    & &  & & & &  & &     &  &              & &  & &       & &  &   & & &  &   & & &  &  & & &  & & &  & & &                          &     & &   &  &  & & &   &  &  & &  & &  & &  & &  & &  & ,  &  ,.  &  & &  &   &       &  &   &   & &    &  , & & &   &  &  , & &   , &   &  &      & &      ,. &      , &   &  &   &  &   & ,   & &  ,.   21 & &  &     ,  &     21 &   &  &       & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &                          & 21 22  & &  ,.1 &  &   & & & & &  &    & &              &    &    &  & &  & &     &   & &    & & 2  &   & & & & & &)))))))))   &  &   &    &    & &   & &-  &    & &* &* &* &)*   &  &  &  &  &  &  &*  &*  &*  &   &&        &               & &    & -   &   &  & &   &  & &)*   & &)*   &   & &)*   &    &    & & & 2 &   &   &  &   & &      & &*   & &*     & &*            & &*   & &*     & &*          &    & &*   & &*   &   & &*   &    &         & &*   & &*   &   & &*   &    &    &    &  &&  &  & &  &  &  &  &    &   &     &  & &-   &   &  &     & & & ,   & &   ,. &  &    21 &  & & & &     &     &  & ,   &  &        &   &  &    &       & &       & 2  & & 2  & & & & & &    &  & &  &  ,    2  & &   &  & &  & ,     &2   &  & &  & ,     &2  & &   &  & &  & ,     &2   &  & &  & ,     &2  & &   &  &  & &  &   &     &  & & & &   &  &  &   &  &  &  &    &  &  & & &      &  &  &  &  &  &    &                                                     &  &          &          &  &          &                 &    &&   &    & &   & &  &   & & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &      &  &  &   &          &           &   & & &  ,. &  &   & &))   &  &  &   &  &  &  &  &  &  & &*  &  &  &        &    &   & &  &          & &  & &    &    &   &   &   &   &   &   &   &   &   &   &    &  & &  &*      &        &   &  &&)**      &   &  &&)**                                   &     & , &  )*    & &   & &  ,. &   & & & ,      & & & &   & &      & & 2   & &   &  , &  & &  & & &&-   & &     &   &      &      & &   & &      & & 2   & &   &  , & & &  & & &-   & &               &      & &   & &      & & 2   & &   &  , & & &  & & &-   & &              &   & &   & &      & & 2   & &   &  , & & &  & & &-   & &                 &   & &   & &      & & 2   & &   &  , & & &  & & &-   & &               &      & &   & &      & & 2   & &   &  , &  & &  && ,  &2              & &  & 221    & &  ,.1 &  &  &  &  &  &  &   & & & &   &   &                                   &*              &                           &  &    &  &  &  & &   &  & & &  &   &     &    &  & &      & & 2   & &  &   &     &    &  &  &  & &  & & &&-   &   &   &     &    & & &   &  &   &  &  &  &  &   &  & &   &   &  & &   &  & & &       & & &-   &        & & & ,   .  &     & & & 2  &  & &-    &   &  & &   &  & & &       & & &-   &        & & & ,   .  &     & & & 2   & &    & &&-   &   &   &  & &   &  & & &       & & &-    &        & & & ,   .  &      & & & 2  &  & &   &   &   &  &      &  &  &  & &  &   & &      & & 2    & &   & , &   & &  & & &&-    &     &          &  & & & ,. 21  &   &   &   &   &     &  &    &     &     &    &    & &  &   &    &       & &   & & 2  & &   &    &  &              &  &              &  & & &      &  &  & & &      &  &  & & &      &  & & &      &  &  & & &      &  &  & & &      &  &   &   &   &   &  & & &      &  & & &      &  & & &      &  & & &      &  & & &      &  & & &      & &  & 2    & &   &      &  & & &      & & &      & & &      & & &      & & &      & & &      & & & 2  &  &         &    &  &         &    &   &   &   & ,   &  &   & &   & ,   & &   & ,  &  &   & ,   & &   & ,  &   & ,  & &  ,. &        &  &   &   &   & & & 2  & & & &   &  &     &  &     &  & &   &   &         &  &  &  &           &   &  &      ,   ,    &   &   &  &   &  & & &   & &      & &  & &  &  &     & & & ,   & &   ,. &  &    21  &  &  & &  &  &  &  &     &  &  & &   &    &  & &-    &  &  & &    &     & &   & &  &   & & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &   &                            &   &        &     & & &   & &   & &  &   & & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &   &                            & 2  & &  ,.1 &  &  &  &    & &  & &       & & & & & &   &   & &    & &-   &   &  &  &   &  & & &  &  &  &     &  &      &             & & & & &   & & ,  &.  &     &  &     & &  & & &)))))   &    & &  &     &*   &*   &* &    & &   &   &       &   & &)*   & &)*   &   & &)*   &    &    & & & 2   &  &&   &  & &      &       &   &   &   &   &   &        & &  & 2    & & & & & & &   &  &  &  &  &   &  & &   & &-   &  &   & &    &             &   & -   &           &   & &    &   & &    & &&-  &  & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &         &     & &              & &         &   & &  &      &  & &    &    &    &   & & &       &   & &   & & 2  &  &   & &             &    &  &    &   & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &          & & & & & &                          &   &    &   &    &  & &   &   & & &'   & &  & &     &    &   &  &   &  &   & &    &  &  &   & &    &  &   &  &   & &    &  &  & &  & &   & &    &  &   &  &   & &    &  &  & &  & &   & &  &  & & & 2  & & & & & &)))))))))   &  &  &      &     &     &     &     &    &    &    &    &    &    &    &              &*   &*   &* &* &* &*           &*    & &  &    *    *    *      & & & 2                                                    &  & &      )     )     )     )     )     )    &  & )*    )*    )*                )*    )*    )*                                 & & & & & &)   &  &    & & & &         &  & &    & & & &  &  & &    & &   & &    &    &       &       &       & &  & &  & &  &  & &   & &      & & 2   & &   &  , &  & &  & & &&-   &      &           &     &    &    &   & & &  ,  &2  &   & & & & & & & & & & & &-  , & &**  ) )   ))   &  &  &   & &   & &-  & & &    &   &   &  &  &  &  & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &          &  &    & & &  ,.  & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &         & & &    & &    2 &   &  &  &   & &    & &  ,.1 &  &  &  &   &       & & & &   &  &   & &    &  & & &   & &      & & 2   & &   &  &  & &  & & &&-    & &      &   &   &   & &   &    &  &  & &  & &  &  &        &     ,    &   &   ,   & &   ,.     &     ,    &   &   ,   & &   ,.21     & & &  &          & &  & &    & &  &    &   & &    &   &   &        &   &  &   &  &  &  & &    &     &   & &    &    &  &   & & &&- &  &  &      &       & & &&- &  &  &    &    &  &   & & &&- &  &  &           & &         & & , & .21   &  &    &   ,.    &    & &   &   &     &  &  & 2 &  & & & 2  &   &   &     & & & 2   &     &    & 2 )  &   & &  &,.   & & &  && )    ) & &    &  )    &  & &     *     & & & 2  )  &      )   &   &  &  &  &  &  &   &     &  & & &       & & ,  & & &  ,. &     21 &     & &   & &      & & 2 & &   &  , & & &  & & &-          &  &  &  & &  & ,  .  & & &   ,.1 &  &  )   &*    &  & *    && & & 2 )           &               & & , &.  && &   &   &  &    & & & 2  && &  &    & & & 2  &&       &       &                 & & , &. &  &    & & & 2  &&     && &   ) ) ) ) ) ) )     )  ) ) )  ) ) ) ) )  ) )  ) ) )      ) ) ) ) ) )  ) ) )  ) )  ) ) )  ) ) ) ) ) ) ) ) ) ) ) ) ) )  ) ) )  ) ) ) ) )  ) )  ) ) )      ) ) ) ) ) )  ) ) ) ) ) ) ) )     )  ) ) )  ) ) ) ) ) ) ) ) ) ) )  )     &&     &               & & , &.  && &  &    & & & 2  &&     &&     && &  && &   &   &   &  &  &     &      &  &  &    &      &   &      &  &    &   &   &  & & & 2  &    &   &  & &   &  &   &   &   &  &   &   &  &  &  &   &   &   &   &   &   & ,  & ,.  &  &21  &  &  &   &   &                & & & 2  &           &  &   &  & 2         &    &       &         &    &     &    &    &    &    &   &  & & &)))))   *  *  *    &-    &-    &-      &  &  & &   &  *  *  &  &  &  &  &  &  &  &  &    &         **    *    *    *   &    &    &    &    &    &    &    &    &  ,  &   & & ,.  &       **    *    *    *   &    &    &    &    &    &    &    ,   &   &   ,  &   & & ,. &   &21  &  & &     &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &   &                                    &   &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &         &   & &     & & &   &  &  &  &  &  &  &  &   &  &  &  & &  & &  & &  & &  & &  & ,  & ,.  &  &21  &  &  &   &           &  &   &  & 2       &             &    &                                &  & &   &     &    &    &  & &   &  &  &  &  &       &   &       &  &   & &  &  ,  & &   ,. &    &  &   &   & &            &  &     & &&&&&&-     &  &   &   &   &   & ,  &   ,.  &  & &  &   & &    &  & &   & &  & &    & &   ,  & &   ,  & &   ,  &  & & &   & &  & &    &    &    &    &    &  &  & & &   ,  &  & &  & &    &    &    &    &    &  &  & & &   ,.2  &    2  & & & 2     & &   & &      & & 2    & &   &&  , &  & &  && , 2        &    &   &    &    &    &    & &              & &   & &      & & 2    & &   &&  , & & &  & & &-         & &    &    &    &    &    &  &        21  & &  &   & &      & & 2    & &   &&  , &   & &  & & &&-    &     &  & &    &    &    &    &    &    &  ,  .  &  & & &     ,.1 &  &  &     &  &21  &  & & &   &  &  &&  & &    &       & &   &  &     &  &  &   & &      &    &      &    &  & & & &  & & &    &  &     &  &    &     &   &    &      &  ' &     &  & &&,2    &    &  &     &  &    &  &      & &  &   &    &  &   &    &&&&-  &  & & &-     &    &    & & & ,  &.21  &    &  &  &     &  &  &  &  &  &    &                      ' & &           &&  &   &  &   &  & & &  &  &   &  & &  & &  &    &   & &  & &  &   &  &   & &   & &     & &    &  &  &  &  &&  & &     &  &  &      &       &  &       & & & 2   &  &   &   & &     & &    &  &  &  &  &&  & &     &  &  &      &       &  &       & & & 2   &  &   &    &   & &      &    &     &     &     & ,      &    &     &     &     & ,,    &    &     &     &     & 2  & &  & 2  &  &  &  &  &    &    &  & &&  &  & &   &  &    &    & & & 2     &   &   & , & & ,     2  & &  &  &  &  & & 2  &  &  & &  &    &  &  &  &  &  &  & & &  &      & & 2    & &   &  &   & &  & & &&-    &     &   & &  &&    &   &  & &                &  &  & &   &   &     & & & 2      &  &    &  &    &     &  &  & & 2     & 2              & &   &  &   &         &        &  &  &          &  &  &  &  &  & &     & & 2  &   &     & &   &  &   & &  & & &&-    &      &    &  &  &&  &    &     &   &  &      &  &     &     & 2  &   &   &   &     &   &   &   &     &     &     &     &   &  &    &   &  &    &   &  &    &   &  &      &  &    &  &    &     &  &  & & 2     & 2    &   &  &    &     &   &  &    &     &   &  &    &     &   &  &      &  &     &     & 2  &  &  &  &  &  &  &  &  &  &  &  &  &     &     &     &  &  &  &  &    &  & 2  & &   &  &       &  &       &    &     &  &    ,    ,  &  &    ,    ,  &  & , & &  &&  &  &  &  &  ''  ,  ''  ,  &  & & &  , & &  ,  &  &      2  & & & &   &  &     & &   &  &  & & & &  &   &   &    &    &    &    &    &    &    &    &    &    &    &    &    &    &    &,   &    &    &    &    &    &    &    &    &    &    &,    &    &    &    &    &,   &    &    &    &    &    &    &    &    &    &    &,   &    &    &    &    &    &    &    &    &    &    &    &    &    &    &    &,    &    &    &    &    &    &    &    &    &    &    &    &    &    &    &    &    &    &    &    &,2    &    &    &    &    &     & ,  &  '' ,.  &   & ,  '' ,.    &    &    &    &    &    &    &    &    &    &    &    &    &    &    &  &  '' 21    &    &    &    &    &    &    &    &    &    &   &    &  & &  ,  &  , .    & &   ,.  21  &  ''       &    &    &    &    &    &    &    &    &    &    &  ''    &   &  ,0    &    &    &    &    &  '' ,. 21    &    &    &    &    &  &  ''   ,.  & &   &  &  &  &                                                           &  &  &  &    &  & &  & &      &  &    & &   & &      &  &  & &         &  & &            &&  & &    & &   & &     &     & &   & &-     & &  & 2  &    &  &  &     & & & && -    &  & &  & &  & &  & &  &  & &     & &&-  &     & & & 2  &  &  &     & & & && -    &  & &  & &  & &  & &  &  & &     & &&-  &     & & & 2  &  &  &     & & & && -    &  & &  & &  & &  &  & &     & &&-  &     & & & 2  &  &  &     & & & && -    &  & &  & &  & &  &  & &     & &&-  &     & & & 2  &  &    &  &  &  &  &    &  & & &  & &  &  & &)* )  & &* **   & &)* )  & &* **   &  & &   &  &    &  &   &   &  &     & &-         &       &  ,                                       &   &      &2  & & & 2  &  & &   &  &    &  &   &   &  &     & &-         &       &  ,                                       &   &      &2  & & & 2  &  &    & &  & &  & &  & &  &  &   &    &    &   &   &   &   &   & ,  & ,.   & &  &   & &  & &  & &  & &  &   &   & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &     &  &     & &  & 2  & & 221  & &  &  ,.1 &  &   & &   &  &  &     &    &   &              &   &    &    &    &    &   &    &   &    &        *     *     &)*      &)*   & &  & ,  &.     &    &   &                                  &    &   &    &   &    &   & &  & ,  &.  & &   &  &   &         &        &  &  &          &  &  &  &  &  & &     & & 2  &   &     & &   &  &   & &  & & &&-    &      &    &  &  &&  &    &      &      &  & &)))))))))   *  *  *  *  *  *  *  *  *    &     &  &     &                *** )*   ,  & & &   ,. &   &  &  & &   &   &     &  &  &    & 2 &  & & & 2   &  & &   &   &     &  &  &    & 2 &  & & & 2  &   & &      &    &   &   & &        &   &   & &        &   &)   & &      & & &)*  &))    &     &)   & &      & & &)*  &))    &     &)   & &      * ))   &   ))   &   & &      &    &   &   & &        &   &   & &        &   & & &))   & &      * ) )  )  & & &)*  &))    &    &) *   & &   & &      &    *  *  & & &))   & &      & &  *  *  &  &     &   & &      &    *  &   & &      & & &     & &   & &        *    *  &)   & &      & & &)*  &))       & & &))   & &      *  *    *        &   & &        *  &   & &        *  &   & &        &   & & &   & &        *    *    *  & & &))   & &      *  *    *          & &      &   &  & & & &))   & &  &   &     & &  &  &  & &    & &  &  &          &  &    & & & 2    , 2  &   &  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-      &      &  *  *  &   *  &    &    *  &  ) )   &   & &  &   &     & &  &  &  & &    & &  &  &          &  &    & & & 2    , 2  &       & & &   & &  &   &     & &  &  &  & &    & &  &  &          &  &    & & & 2    , 2  &   &  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &         &  &     &     &     & & & & &   & &  &   &     & &  &  &  & &    &  &  &  &          &  &    & & & 2    , 2  &   & &   &  &    &  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-      &      &  &     &     &   &  &    &   &  &    &   &  &    & & & &))   & &  &   &     & &  &  &  & &    & &  &  &          &  &    & & & 2    , 2  &   &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &         &               *  *  *      & & & & & & &))))))))))   & &  &   &     & &  &  &  & &    & &  &  &          &  &    & & & 2    , 2  &   &  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-      &      &  &     &     &   )*   *  *  *  * )  )  )            & )   &    &    &    & )   &    &    &    & )   &   & &  &   &     & &  &  &  & &    & &  &  &          &  &    & & & 2    , 2  &     &   &  & & &   & &      & & 2   & &   &&  &  & &  & & &&-   &      &  & & &&  &   &   & & & & &    &   & &    & & & &  &  & &      &  & & &    & &  & &  & &  & & &    & &  & &  & &   & & & &     &  & &    &  &   &         &  &  2  & &   &   && ,  & ,. 21 &&  & &  & & &&   & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &         &    &  &   &   &   & &   & &)   &  &  &  & &  )        &   &  &    &-  &        & & ,  & & & ,. &   ,21 & &   & &      & & 2 & &   &  , & &  & & &-          &  &  21  & & &   ,  .1 &  &  &*     &  & *    & & & & &  & & &-   &         &  -       & & ,.   &  & *    & & & &   & & &&-  &  ,     ,  & & ,  &   , 2 &  -       & & 221 )     & & &   &   &  &  &  &  &  &     & & &    & &  & &   & &   ,   & 2  &           &  &  2 & &   &   && ,  &  ,.  &   21 &  &    &        &  &  2 & &   &   &&  ,  & ,.  &21                 &     &   & ,  &     & & 2 &       &   &     &,       &   &2 & & &    & &  & &  &   &      &  & &   &   &    &  &  &    & 2 &  & & & 2   & &   &   &     &  &  &    & 2 &  & & & 2  &   &   &          &  &  2 & & &   &   && ,  & ,.  & & &  &   & &  &  &    & & & 2  &         &  &  2   &  & ,  &  &&  , . &            &   &  &     &  &         21       & * * * *)))))  )    *    *    *  )  )   & &   & & &-  & &   &   )))  * * *  * * *  )  * * * * * *   * * * * * * )   * * * * * *  )   * * *  * * *  )  * * * * * *   * * * * * * )   * * * * * *   &    & * * *)))   &  & &   & & &-  & &   &   )))   &  & ) )  ** **  &  &  &))*  * *  * *      *      *     )*  &  & & 2      &   &  & & & & & &     & & &-    & & & &  &   &   &        & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        &   &      &        &)))  &          &   &  &  &  &   &  &    &  &  *  & )  )*  )*   &     &   &  *   *     **  &     &  & &      & &   & &   &  & &  &  *  & *  &  & & & 2   &    & & ,    &  & &   &  & &     &  &      &  & & & &  & &   & & &   &   & *)))  &     &    & &  & &  & &  & *  & *  & &  & &  & &  & *  &  & & & 2        &  &       &     &  & &  & &     & &  & &  &    & -   &      &  & &  )*   &, &  &  & & , & &   & &      & & 2 & &   &&  , &  & &  && , 2     &  &     &   &  & & &   & &-  &    **     **     **  **  &   ,2   &  &     &  & & & &  & &   & & &   &   *)))  &     &    & &  & &  & *  & *  & &  & &  & &  * 21  & &  & 2 &    & -   ,, , ,2  &  &   21  & & &   ,.1 &  &  & & & -      & &  & & &    &     &  &     & &  & &  &  &    & -   &  &      &  &  &  & & &  & &   & &   &   *)))  &     &    &  &  *  *  &  &  &  *  & & & , . &    & -   &          &    & &  & &     &  &  &  & & & &  &  & & & 2 &  ,, &    & & & &   &   &  &  & &   &  & & & & &-   &  &     &  &  &     & &  & &  &  & & & &    & & &   &   & *)))  & &     &    & &  & &  & &  & *  & *  & &  & &  & &  & *  & ,  &  & & & & 2  &  &    &  & & & 2    &      2 & &    & & & *)   &  &  & )     ** *    ** * **    ** * *     &  &      & &   & & &-  & &   &        & & )  &   *    *      *                 &    &    &   & & & & * * & & & & & *)))))))   &  &  &  &  &  &  &  &  &  &   &  &    &    )  &  )  &  ) & &  &   & & & &      &  &  )  )**  )*  &     &   &                **     **     **  ** &    & &-   *  &               )  ** **  *  *     *      *       **    &              * &******** &-     &  & &  &   * *   &    &***    * *   &    **     **   *  * *  &*   &  & &    & &    &  &    &   & &-  & & &   &,    )  &   *    *      *                 &   *   *     *           & - , & &         2   & &-  & & &  & &    &  & &        ) ) )2   & & & & & &   &  &   *  *  *)  *  *  * ,  &  )*    )*  )*  &     &   &                              **   &      **   &      **   &  )*   )  )  *        * )  )         )*  )*  &     &   &                              **   &      **   &      **        **   &      **   &      **   *  *  *    2  )  )  )  )  )  ) &                   & )  & ,  &  & &  ,  &  & )  &      & &   &  &  &   & & &-   &   &   &        ** )*   &              &   )  *   &  & )  &      2 &               &               &  &   &    & &   &  &    &  & & 2 &  & & &   &  & &    &   *        & &   **    &    &   &  )))     &  &        &  &     &    & -   &     &     &  &  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-      &      &  & &  & &                 & &              & &              &    &    &    &    &    &      & &    & &         & &   **        &       &    &  &     & & & &   & &      & & 2   & &   && , &  & & &  && ,  &2   &  & &                          &    & ,  &.   &  21   &        & &   &    &  )  )**  )*  &     &   &          ** * *   & &   &  &     &    &     &      ,  &,         &  &  ,      2  21 &    &    , & ,   &. &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &        &   & &  ,. &  &   &   &   &  &  &      &     &            &      &  & &   & &      & & 2 & &  &  , & & & & & &-           &   &&  & & &  &      & & 2 & &  &  , & & & & & &-         & & &&  & &  &    ,  . &  &  &  & & ,  &   ,    & & 2      2 &     &   & & &  &  & & & & & &-          &     & & & &   &   &  &  &  &                    &&    & & &   & & &- &   & & &- &   & & &-   &&    & &   &&    & &   &&    & &   &&     & & & & & & & & * &))))   &  &   & &  & )  )*  & & &*  *  )*   )  * *     )*        &   &    ,     ,    &  &  ,  & &  & &  , , &  & & &  &   &  & &   ,   &   2  &  &  &  &  &    &    )**     &   &   , &  &    & ,    ,  &      ,  ,2  & ,    &  , &   2  &  & &  &    &   &   &   &      &   & &  &  &   &  ) )             & &))))))))   &    &  *  & )  )*  )*   &     &   *  * )  ) )    *  *  *     **   * )  )    *    **   &  &   **     **      & **      )   *      )    &      &&        &      &&        &      &&      )   &   &  & &   &   &   &   )))*   )))*   &   )))*   )))*   )))*   )))*   )))*   &   &   )))*   &   &   &   &   &   &   ) ) ) ) ) ) &   &              &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &           & & & & & & & & & & & & & & & & & & & & & & & & & & & & & &     && & & & &    &        &               & & , &.  &&     &&     &               & & , &.  && & &       &&     && &   &     &   &    &    & & &)))))  &  &  *  &  &  &  *  &  &  &  *       ***        ***          ***         *  *  *       ***        ***          ***         *  *  *       ***        ***          ***        & & & *))))   &  &      ) *** )  ) )  )) **    )   )  )  )   & )     **     **     **      &     &    **    & )             &  *  *  *  )  ) ) **    &   )      *      *    & )  ) ) **      &   )      *      *    &    &   )      *      *    & & & & * &)))))))))))))))))))))))))))))))  &  &  &  &  &  &  &  & *  & *  & *  & &  *  & &  *  & &  *  & &  *  & &  *  & &  * )  )  )   & &  *  & &  *  & &  *  & &  *  & &  *  & &  *  & &  *  & &  *  & &  * )  )  )      *  *   *               * * ****                    * * ****  )    ** ** ) **     ) **      & &     *   & &     *   & &     *   & &    )*   *   *   & &      **   & &    *   & &    *   & &    )*   *   *   & &      **   & &    *   & &    *   & &    )*   *   *   & &      **   & &    *   & &    *   & &    )*   *   *   & &      **   & &    *   & &    *   & &    )*   *   *   & &      **   & &    *   & &    *   & &    )*  & & &)))))  *  *  &  *  &  &  &  &      ***   &  &  &      ***         ***         *  *  *      ***       ***         ***         *  *  *      ***       ***         ***        &)))))))   &  &    &  &   &  &  & &  &  & &  & &  & &  &   **   & &  &   **   & &  &   **  **     &    &    &    &   **   &   **   &   **     **   &     &     &    &    &    &    &  & &  & 2  &  &  &   &   &   & &   & & &   &  &         &  &  2   &  &   &  &   && ,  & ,.  &  &21  &  &  &  &   &           &  &   &  & 2       &             &    &       &     & & &    ** & & & &   &  &     & &   &  &  & & & &  &   &   &                                    ,   &                        ,            ,   &                        ,   &                                    ,                                                ,2                 & ,  &  '' ,.  &   & ,  '' ,.                                      &  '' 21                           &    &  & &  ,  &  , .    & &   ,.  21  &  ''       &                          ''    &   & ,              ''  ,. 21              &  ''   ,.  &     &  &       &     &  &        &   &    &     & & & & &     &     &  &   &  &   & &  &  &  &    &  & & 2     &  &   &  &   & &  &  &  &    &  & & 2     &  &   &  &   & &  &  &  &    &  & & 2     &  &    &   &  &    &     &     &     &   &  &  &   &     &   &   &     & & 2    &     &  &    &  &      &      &     & & & &)))))))   &  &  &   &    ))  &  ))  &  ))  ))   ))   ))   )  &  &          )  &  &          )  )  * )  )  ** ** )      )                   ) ) )  * )  )  ** ** )     )                   &               &    **   &    **       ** )    )    )                   **   &      **   &      **   & & & & & * * & & & & *)))))))   &  &  &   &   &*   ) *     ) **   )  &  )   &  )  )  &  )  &  )     &      &  & & & 2 &   &  & )  *  *   )*   )   )  )  ** ** )     )                   ) )    ) )    ) )    ))    ))    ))   * )  )  ** **                        & &     )*     )*     )*   )  &                      &   &  &  &    & & &  &    & ,  &  & & ,. ,21 & , 21 &&  21  & &    & &  &   *  *  *),     & & &   &       2 )*     &      &    &      & &  &     &    &    )  &  & -*  -        &   &   &  &  &  &  &   &    &                        & &-&       & &   &    & &  ,  & & & ,.  & 21 &      &   &    &,   &2  &    )*   &   & &  &              &    &   &   & &    &   & &  & 2  &        & &  & & &)))))))   &  &   &  &   &              &  )  &  &          )  &  &          )  )  * )  )  ** ** )      )                   ) ) )  * )  )  ** ** )     )                   &  &       &  &    &   &  &    &    &    & &   & &    &  & &  & & &     &  & &   &  &  & )* & &    ,  & & & 2  & & &   ,.1 &   & & & &   &  &   &   &  & &    &    &  &  &    &  &    &  & &  & 2  & & & 2  & * * &   &  &   &   &  & &   )  &   &    &  &  &    &   &    &     &    &  & &  & 2  & & & 2  & *   &  &   &   &  & &    &    &  & &   &   &    & & & 2  & & & 2  & *   &  &   &   &  & &    &    &  & &   &   &    & & & 2  & & & 2  & * * *   &  &   &   &  & &    &    &  & &   &   &    &    &    & & & 2  & & & 2  & * *   &  &   &   &  & &    &    &  & &   &   &    &    & & & 2  & & & 2  & *   &  &   &   &  & &    &    &  & &   &   &    & & & 2  & & & 2  & &   &  &   &   &  & &    &      &  & &   &   &    & & & 2  & & & 2  & *   &  &   &   &  & &    &    &  & &   &   &    & & & 2  & & & 2  & &   &  &   &   &  & &    &      &  & &   &   &    & & & 2  & & & 2  &   &  &  &     & &-    &  & &    &   &   &  &  & &   &   &  & & &   &  &    &  & & & 2  &  & & & 2  &   &  & &    &   &   &  &  &   &   &  & &  & &  & 2  &  & & & 2  &   &  &     &   &   &  &     & &  & 2   &                )                  ) & & &          &  & &  &  &  &             &   &  &    & & &  &  &        & & & &  &     & & &  &   &              )  )  )  )    &  &          &                                    & & & 2  &                              & & & 2        &            &  &      &&  & &  & & &&      &   &  &      & & &   &   & &  &   &    &   & & &   & & &   & &   &   &  & &   &                  &  )  &  &                      &      &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &                        & && &  &  '' ,  &   , .            &   &       &  &      &  & &  &&      & &&    &    & &     &  &      &  &      &  &        &  &       &     &  &      &  &      &  &        &       & & & & &)))))   & &    &  &  &  &  &  &  &  &  &  &  &  &   & *  & *  & *         *** *         *** *         *** *   *     *     &  *     &  *     &  *     &  *     & & & 2  & & & & &)))))   &  &    &  &  &  &  &  &  &  &  &  &  &  &  &  &   &  & &  & &  &  & & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &         &      &  & &  &  & &  & &  & *  & *  & *        *** *         *** *             *** *           & *  & *  & *        *** *         *** *             *** *           & *  & *  & *        *** *         *** *             *** *              & *     & *     & *     & *     & *     & *  & &  &  ,. &  &   & &   &  &  &  &      & & &   & &   &    &  & & &  & &   &     & & &    & & & &  &   &    &   , &  & ,. 21 & &   &      & & &    & & & &  &   &    &   , &  & ,. 21 & &   &       & & &    & & &  &   &    &   , &  & ,. 21 & &   &    &  & & &   &   &    & & &    & & & &  &   &    &   , &  & ,. 21 & &   &      & & &    & & & &  &   &    &   , &  & ,. 21 & &   &   &     &  &       &     &    & & & & & & & & & & & &  &  &     & & &   & &   &      & & &    & & &  &   &    &   , &  & ,. 21 & &   &   &     &  &   &     ,  &  & &   &   &   &  & &   &  & & &       & & &-    &        & & & ,   .  &      & & & 22  &  &        & &  &      & &  &      & &  &      & & 2   & &  &      & &  &      & & 2  &  &      &  &    &     &  &      &  &  &   &     &   &   &     & & 2  &  &   &         &     &     & &   &  & &     &  &   & & &  ,  & & &    ,. &   & & & & & & &)))   &  &   &  &  &  &  & & & &  &  & &  & *   *    *   &      **   &    *   &    *    &  & & &  & &    & &  &      & &  &      & &  &        &    & & 2   & &  &        & &  &      &    & & 2 &   &  &      &  &        &    &  &   &   &  &    &    &    & &  &      & &  &      & &  &        & &  & 2      & & * & & & &   &  & &   & &  &  &  &  &  &       & )*    &    & ) *  , 2     & &    & & &   , .    &  &  &   & & & &   & & & & & &  & & & &  & & & & &&   &  & & &  &  ,  2 &   &  &  &  & ,  &    2  &  &  &  &     & &   &   &  &    &  &   &   &   &  &  & &   &  & &   & &  & 2  &    & &   & &-  &  &    &     &  & & &  &    & &  & &  ,  & & 2 &   & & & ,    &  &    & &  ,  & &  ,  & &  ,  & & &  ,  & &  ,. &   &, &   & &,  &2    &   &   &  &   &  &   & &  & &  ,  & &  ,. &   & & & & ,    ,2 &  &   & &  ,  & & &  ,  & &  ,. &   &, &   & &,2     &  & &     & &&  & &   ,  ,  2  & &   & & &-     & &&  &  &   &  & &   &  &  &  &  &  &   &   &  & &    & &  &  &  && &  &  &  & &   & &  &  &  && &  &  &  & &  & &  & 2 &     &  &  &&     &   &  &   &   &   &  &  & &   &  &  &  &  & &   & &  & 2  &       & &  &    &  &  &   &  & *     & &    &   & &   &  &  &  & &   &&  & &   &   & &  &   & &-  & & & , & ,  & & & ,.    &21 & &&     &    &  &  &&  & &    &  &   & &  &   & &-  & & &  , &  ,  & & &   ,. &   & &     & & &     &  &      &  &  &   &     &   &   &     & & 2  &  &   &         &     &     &  &      &  &  &   &     &   &   &     & & 2  &  &   &         &      & &  & & & & & & & & & & * & & & & &     & & & & & & & &     &  &    &  &      &      &     &  &   &  &      &         & & & & & * * & & * & * & * * * & * * & * & & & * & & &   &   &   &  & & & & &     &   &   &  &  &  &  &   &    &                        & &-&       & &   &    & &  ,  & & & ,.  & 21 &      &   &    &,   &2  &    )*   &   & &  &              &    &   &   & &    &   & &  & 2  &        & & & & &  &   &              )  )  )  )    &  &          &                                    & & & 2  &                              & & & 2        &            &  &      &&  & &  & & &&      &   &  &      & &   &   &  & &   &                  &  )  &  &                      &      &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &                        & && &  &  '' ,  &   , .            &   &       &  &      &  & &  &&      & &&    &    & &     &  &      &  &      &  &        &       &     & &   &   &  &  &  &  &  &  & &   &   & &  & & & ,  & & & ,.    &21  &    & &    &         &    &   &  &  &   &       & ,  &  &   ,.  &21  &  & ,!!!!!,! !" &       &  & , , &           & &  & &  , &    & , , &   &   & ,  &       & ,  &  &   ,.  &21  &!!!!,!  & ,! !" &  & - ,  &   & ,. &   &, &  &    &   &       & ,  &  &   ,.  &21  &  & ,!!!!!,! !" &  & - ,  &   & ,.21  &   &  ,.1 &   &    , &   &    &    &  ,  , &   & ,  2 &   &  &  & & & &  &  &  & &   ' &   &  & & & &    &&   & &&-    &  &  &&  & &  &  &&    &  & &  &           &     &    &    &    & &     &   &   &  &  &  &  &   &    &                        & &-&       & &   &    & &  ,  & & & ,.  & 21 &       &   &  &,   &2  &    )*   &  &    *   &   & &              & &   &    & & &    &   & & & 2  &        & & & & &)  &   &              )  )  )  )    &                                                                                                                                                                                &          *     &  &  &      & &   &   &  &  &  &  &  & &     &                  )  &  &                    &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &               &  &&          &  )         &    &         )            & &&-    &  &   &  & & &    &        & &     &  &      &  &      &  &      &  &        &  &       &     & & & & &)))))   & &  & &    &  &  &  &  &  &  &  &  &  &  &   &  & *  & *  & *         *** *         *** *         *** *   *     *     &  *     &  *     &  *     &  *     & & & 2  & & & & &)))))   & &  &  &  &    &  &  &  &  &  &  &  &  &  &  &  &  &  &   &  & &  & &  &  & & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &         &      &  & &  &  & *  & *  & *        *** *         *** *             *** *           &  & &  &  & *  & *  & *        *** *         *** *             *** *           &  & &  &  & *  & *  & *        *** *         *** *             *** *           &  & &  &  & &  & &      *      *      *      *      *      *  & &  &  ,. &  &   &     &  &   &  &   & &  &  &     & & 2     &  &        & &  &      & &  &      & & 2  &  &        &  &      &  &  &   &     &   &   &     & & 2  &  &   &         &     &     & &   & &   &   & & & ,  & & &   ,.  21  & & & & & & &))))))   & &  &  &  & &  *  *  *  & *      ***       ***   &         ***  *   &    *   &    *   &  & &    & &  &        & &  &      &    & & 2 &   &  &        &  &          & & * & & & &)      &  &    &   &  & &  & &  & &  & 2   &  & &   & &  &  &  &  &  &       & )*    &    & ) *  , 2     & &    & & &   , .    &  &  &  &   &      &  & &  &  &  &    &  &  &  &  &  &  &   & &   &   & &  &   &  &  & &-  &  &  & &-  & &  &   **  ,  & *  * ) ) ,  ,  &  &  & &-  &  &  & &-  & &   ,  &   **   ,2  & & 2 &   & &   &  ,  & &   ,   & &  & & &   ,.21 &   &    &  &   &    &  &   &  & &  &   &  & &-  & &    **  ,  *  * ) )  ,,   &  & &-   &  & &-  & &    **   2 &   &  &  &      &  & & & 2     &  &   &  &  &   &   & &  &  &  && &  &  & &  & &  & 2 &     &  &  &&     &      &  &   &   &   &  &  & &   &  & &   & &  & 2  &  &    &   &  & &  & &  & &  & 2  &     &     &   &   &  &  &  &  &   &    &                        & &-&       & &   &    & &  ,  & & & ,.  & 21 &      &   &    &,   &2  &    )*   &   & &  &              &    &   &   & &    &   & &  & 2  &        & & & & &)  &   &              )  )  )  )    &  &          &                                    & & & 2  &                              & & & 2        &            &  &       &          *     &&  & &  & & &&      &   &  &      & &   &   &  &  &  & &   &                  &  )  &  &                      &      &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &                        &  & && &  &  ''  ,  &    , .            &    &  )         &       &  &      &  & &  &&      & &&    &               &  & & &   &   & &     &  &      &  &         &     &  &      &  &        &  &      &  &      &  &        &       &     & &))))))))   &   &  &  &  &  &  &  &  &  &  &  & &   &   & &  & & & ,  & & & ,.    &21 &    &      &   &  &  &  &  &  &  &  &  &  &               &  &        ,     &  &  & &     ,   ,     &  &    ,    ,     &      &   & &     ,   ' &  ,    , &  &   &   &     ,. &     &   &   &   ,              & 2  & & &  &      & & 2 & &   &&  , &  & &  && , 2    & & &&  . &     &   &   &   ,                    & 2    *   *     *     * )     ) ) **      & & &  &      & & 2 & &  ,  &&  , &  & &  && , 2 2  & &                              .1  &  & &  &    ,  &  &  & & &   ' &  ,  &  & & & &    &&   & &&-    &     &  &&  & &  & &  &           &      ,     &   &   &   &      &  &   *       &  &  '' , &  &  , .21  &   &   & 2  & &  && &    & *  & *  & *  & *  & *  & *  & *  & & &  &   & &   ,   &    &   *   &    *    &    *  &    *   &    *  &   *  )  )   ) ,  **    2  &   &      &      &      &      &   )    &   )    &   )    &   )  & & &  & &   & &  & &                                   & & &   & &  & &                                   & &  *  *  *  *            )****                 *     *     *     *   & & & 2                21  &   &        ,.1 &   &    , &   &    , &   &    , &  &  &  &   &    , &  &   ,  ,    2 &  &        &    & &     &   &   &  &  &  &  &   &    &                        & &-&       & &   &    & &  ,  & & & ,.  & 21 &       &   &  &,   &2  &    )*   &  &    *   &   & &              & &   &    & & &    &   & & & 2  &        & & & & &  &   &              )  )  )  )    &                                                                                                                                                                               &  &  &      & &   &   &  &  &  &  &  &  &  && &     &                  )  &  &                    &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &                       & &    &       &    & &-    &  &   &  & & &    &        & &     &     &   &   &  &  &  &  &  &  &  &  &  &   & &   &                  )  &  &                      &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &               &  &&          & &    &       &    & &-    &  &   &  & & &                     &          &      &    )*   &  &    *    & &              & &   &    & & &    &   & & & 2  &        & & & & &  &   &              )  )  )  )    &                                                                                                                                                                               &  &  &      & & & &     &     & & & & &    '          & &!!!!  )  * ,!! ' & &,!!"              &   &  &    &     &   &   &  &           &&  & &  & & &&   &          &&  & &  & & &&   &  &   &   &  &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &  & &)   &   &  & &                 &     &                  &  )  &  &                   &  &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &         &     & &             &  * )  ) )  )) ) ** )            &           &   & & & &)))   &  & &   & &-   &   &  *     *     * )  )*   **    )    )         *       & & & & &   &   & & &  &       &     &  &   &  &  &  &  &   &  &  &  *  &  & & & 2         &          &   &   &  &           &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &  &   &   &  &           &&  & &  & & &&   &          &&  & &  & & &&   &  &   &   &  &           &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &  &   &   &  &           &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &  &  &   &                    )  &  &  &    & & & 2  )  )  )              &&  & &  & & &&         & &  &   &                    )  &  &  &    & & & 2  )  )  )              &&  & &  & & &&         & &  &   &                    )  &  &  &    & & & 2  )  )  )              &&  & &  & & &&         & &  &   &                    )  &  &  &    & & & 2  )  )  )              &&  & &  & & &&         & &  &   &                    )  &  &  &    & & & 2  )  )  )              &&  & &  & & &&         & &  &   &                    )  &  &  &    & & & 2  )  )  )              &&  & &  & & &&         & &   &  &    &     &   &  &      &  &     &     & 2  &     &     &     &     &   &  &    &     & & & & &))))   &  &   &  &  &      &  & & & 2  &    **   &    **   &    **   &  & *    *   &    *   &    *      &    *   &    *   &    *      &    *   &    *   &    *      &  &  &  &   &   &   &  &     & &  & 2  &  &    &  &  &  &  &  &  &  &  &  &  &  &   &  &    &  & &   &  & *  & *  & *  & *           *** *           *** *           *** *   & &   & &  & 2  & & & & * & & & &   &  &  &  &   &   &    &  &  &  &  &  &   &  &  &  &  &  & &    &  & & &  &    &  &   &   &  )  )  )  &     &  & &  & &  & &&       &    ,  &  & 2 &    & & &  )  )  )  & -    &  &    & &  & ,  .  &    &  &    &    &  & & &  &    &  &   & &    , &  ,   &  &  &   & &  ,, 2 &   & & -  &   && & 2  &   &  &  &   &   &  &  & &  & &-  ,  &  ,. 21 &            & &   &            & & & &))))   &  &   &  &  &      &  & & & 2  &    **   &    **   &    **   &  & *    *   &    *   &    *      &    *   &    *   &    *      &    *   &    *   &    *      &  &  &  &   &  &   &   &  &  & &    &    &     & &  & 2  &  &    &  &  &  &  &  &  &  &  &  &  &  &   &  &    &  & &   &  & *  & *  & *  & *           *** *           *** *           *** *   & &   & &  & 2  &)))   &   &  & & &  )*  & &     &  &   &  &&   * ) ) )))    * ) )  )* ))  )    )) *)*  *)*              &                 & & &&    & &   &      &    &  &   &        &  &          &   &     &                         & &   &      &         &  &    & & & 2        &           & &      &             & & , &.  &&   &  &         &  &  2  & &   &   && ,  &  ,.  &  &   21 &  &         &  &    & & & 2    &    &&  & &  & & &&    &     &     &,2  &  &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-      &  &          & &    &   & & & &   &  &    &  &   & &  &     ' &&-  &   &    &  && &  & &  & , &   &      &2   &      & & & &   &  &     & &      &             & & , &.  &&   &  &         &  &  2  & &   &   && ,  &  ,.21 &      &   &    &   &&   ,2  &  &  & & & & &    &    &,2  &  & & &    &  & &  &   & &      & & 2    & &   &&  , &   & &  & & &&-    &     &  &   &    &    & &          & )  & )  & )  & )  & )  & )  & )  & &              &   &   &  &     &  &    &    &   & &  ,. &  &   &   &      &  &   &  &   & &  &  &     & & 2     &  &      &  &       &  &  &    &  & &    &  &   & &    &  &   & &  &      &  & & & 2 &    &   &  &    &   &  &    &   &  &    &   &  &    &   &  &  & &   &     &  & &  &      & & 2  &   &  &  & &   &     &  & &  &      & & 2  &     &     & &)))))))))))))))  *  *  *  * )          )  )  )  )         &  &  &  &        ****                     ****                     ****              & & &))))))  &  &  &  *  &  &  &  &  *  &  &  &  &  *       ***        ***          *** *          ***            *  *  *       ***        ***          *** *          ***            *  *  *       ***        ***          *** *          ***           & &   &  &   &   &  &    &    &    & &  &      & &  &      & &  &        & &  & 2        &  &    &   &   &  &     & &  & 2  & & & &   &  &  &  &  &  &  &   &  &  &   &  &  && &  &      &  & &    &   &   &  &  & &    &  & &  &  &     & *    & *  & & & ,  &.   & &  & &  &  &  ,     *  & & & ,  &.    &  &    & & & 2  & &  & ,  &.  &21  & & & ,  &.   &  &      &       &            &    &    &  &  &     & &   &       & & & 2    &  &   & & & & & &  & &  &  & & & & &  & &  &   & &  & ,    &    & & ,.  & &  ,  &     &    )*  , & ,. & &   &  &     &         & & &  , .    & &   &     )*   &  &     &         & & & , .     &     &  &  &     &   & &  &  &     & &  & 2  &  &     &  &  && &  &      & &  ,    &   &  &  & &    &  & &  &  &     & *    & *  & & & ,  &.   & &  & &  &  &  ,     *  & & & ,  &.    &  &    & & & 2  & &  & ,  &.  &21  & & &  ,  &.  &  &      &  && &  &      & &     &   &  &  & &    &  & &  &  &     & *    & *  & & & ,  &.   & &  & &  &  &  ,     *  & & & ,  &.    &  &    & & & 2  & &  & ,  &.  &21  & & &  ,  &. 21 &  &     &  & &   &         &    &  &   &  &   &   & &  &  &     & &  & 2 &   &  &      &  & &      & & & && ,  &  &     & 2 &   , ,        &    &  &   &  &   &   & &  &  &     & &  & 2 &   &  &      &  & &      & & & && ,  &  &     & 2 &   , ,  &  &  & &    &     & &  &  & & & 2   & &  ,.  &  &    ' &  &  &&  &         &      &   &  & &    &   & &  & 2 &   &  &      &  & &      & & & && ,  &  &     & 2 &            &      &   &  & &    &   & &  & 2 &   &  &      &   &      & & & && ,  &  &     2 &   , ,        &      &   &  & &    &   & &  & 2 &   &  &      &  & &      & & & && ,  &  &     & 2 &   , ,2 2 &      & &   &         &  &          &   &   ' &      & & &  &&,2       & & & & &  &    & &    &  & & &         & &     & , &  & 2 & &        & &    & & &  &  &       &  &  &   &    & & &    &  &   &    & &    &  &   &  &          &   &  & &  &         & &    &     &  &     &  &    &           & & &)   &  &           &   &   &             &    & & &      &   & & &  &  &  &    &     &  &    &     & &   & &   & &-  &  & &   &    & & &    & & &  & &  )*   , 2 & &     & & &  )*   & & &    & &  &      & &      & & &       &       &   & )*    &   &     & &       &  * &  )  ,  ,     *  *   *   *2 & & & &  &      & &      &  & & & &  & &  &  )*   & &  &  & & & &       & &             &  & &  & &   &       &       & &       & & & &)   &    &  &           & & ,    &  & &  &  &    & &  &      2 &  &  &   &  ,,  & & ,    &    & &   & & &  &    &     &,   &     &,2    2 & &  &      &    )  )** && -   &   )* *  )* *) &* -      &*   )* *  )* *)  &  &  & &  &  &   &     &  &   &   &  &   &  &  &       )*  )*    &        & & &)))))))))))))))))))))))   &  &  &   &  &    &  &  & &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &   &  & &  &  & &  &  & & &  & &   *  *  *  *  *  *  *  *  *  *  *  *  &  & & &  &  &   &  &  &  & &  &      &  & & & 2  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *      *               *  *  *      *               *  *  *      *               &    &    &    & )  &    &    &    & )  &    &    &    & )  & &     & &     & &     & )  & &    *  *     *  *     *  *   & &  & 2  & & & * & & &))   &  &  & &   & &  & &   & & & & & &  & & & &  & & & & &&        &   &  &  & &    & &  & &   &     &  & & &  & & ,  &  & & &  & & , & &  &  &   & ** ,  &  & *  & * )  ,  &  & & &  & & ,  &  & & &  & & , & &  &  &   & ** , ) ,  & & &  ,. 21 &   &  * -  & & &  & & &   ,  & &  &  ,  & & &  ,  & & &   ,. &   & &   , &  &     & &   & &, &   & & &  &     &  21 &   & &  &   & &      & & 2    & &   &&    & &  & & &&-    &     &  &   &    &    &    &    &    &    &   &   &    &   &       & &   &  &     & &    & &  & &  &      &  & & & 2  & & & 2          &     &  &     &   &  &     &    &  &     &   &  &     & & &))    & & &  & &   ,  & & &  & &   , & &  &   & **   ,  & *  & * )    ,  & & &  & &   ,  & & &  & &   , & &  &   & **   , )   ,  & &  ,. &     **    &  &  &    &  & &  &    &    &  &  & & & &  &   & &   & & & &  &       &  &   &  &   &  &  &   ' & &     , 2 & &    &   &  &  &   &  &  &    &   &   & &  ,  & & &  &   &  & &  &  ,. &   & & &)))))  &       &  &   &  &   &  &  &   ' &     , 2 & &    &  &  &    &  &    &  &  &    &   &   & &  ,  &   &  &   &   *   &  *   &  *   &  * ) **                &    *    &    *    &    *    &    *   & &  &  ,. &   & & & & & & &))))))))))))))   & & &   & & &   &  & &      &   & & & &   & *  & *  & *  & *  & *  & *  & *  & *  & *  &  *   & *  & *  & *  &  *   &   &  *   &    &    & *  & *  & *  &    &    &    & & & 2     &   & & & &   & *  & *  & *  & *  & *  & *  & *  & *  & *  &  *   & *  & *  & *  &  *   &   &  *   &    &    & *  & *  & *  &    &    &     *   *   *  &    &    &    & & & 2   & &      &   & & & &   & *  & *  & *  & *  & *  & *  & *  & *  & *  &  *   & *  & *  & *  &  *      &  *           & *  & *  & *              & & & 2     &   & & & &   & *  & *  & *  &   &   &   & *** *   &   &   &   & *** *   &   &   &   &   &  *** *   &    &    & & & 2  & & & & & & &))))))))))))))   & & &    &   &  & &      &   & & & &    *  & *   *  & *  & *   *   *   *   *   *      *  &  )   &  )   &  )   & *  & *  & *     &  )   &  )   &  )   & & & 2     &   & & & &    &  *  & *   &  *  & *  & *   &  *   &  *   *   *   *      *  &  )   &  )   &  )   & *  & *  & *     &  )   &  )   &  )   *   *  *   *   *  *  *     &  )   &  )   &  )   & & & 2   & &      &   & & & &    *  & *   *  & *  & *   *   *   *   *   *      *    )     )     )   & *  & *  & *       )     )     )   & & & 2     &   & & & &    *  & *   *  & *  & *   *   *   *   *   *      *  &  )   &  )   &  )   & & & 2  & & & &  &            &    &  &     &   &   & & *                  )     &  &   ' & &    & &   &                  & & & 2     &   ' & &      &  &   & &-    ' & &  , 2     &  &         ' & &      & & & &))))))   &  &  &  & &    &  &  &   & & & &  & &  & &  & &  & &  & &  & &  & &  & &  & &  & &  & &  & &   &   & &   &  & *  & *  & *  & *        *** *         *** *   & &           *** *  *   & &    *   & &    *   & & 2  & & & 2  &    &   &  &  & & & & & &  &  & &  & 2  & &   &  &  &  & &  & *   & &  & &  & &    **     **     **                   *** *                   *** *                   *** *   & & & 2  &    &  &   &  &  &  & &  &   & & & & & & &   & & & & &  &  & &  & 2  & & & &))))))))))))))))))   &  &  &   &  &  &  & &    &  &  &   & & & &   &   &   &   &   &   &   &   &   &   & &   &  *  & *  *  & *  & *  *  *  *  *  *     *  & *  & &     ) *   & &     ) *   & &     ) *   & & 2  & & & 2  &    &   &  &  & & &   &   &  & &  & 2  & &   &  &  &  & &  & *   & &  & &  & &    **     **     **                   *** *                   *** *                   *** *   & & & 2  &    &  &  &  &  &  &  &  &  &   &   &  &  &   & & & &   &                                  *      *      *      *  *  *  *  * )               &   &                                   &  *  *  *  * )          )  )  )  )         *  *  *  *  &    &    &    &    &    &    &    &    &    &    &    &    &  & &  & 2  & &)))))))  &)*   & &   &  &  &  &  &  &  &   &  & &  & &                **     **         ** *   & &     *   & &     *   & &  & & 2      &  )  &  )  &  )  &  & &    & ) ) )   & *      & *      & *      & & & 2  ) ) )  &*              &  )   & )   &  *   &  *   &  *  **      & & & 2  &              & &    *  *      &  *  &  *      &  *  &  *   &  *  &  *  )        &  & &  *  *      &  *  &  *      &  *  &  *   &  *  &  *  )       & &   &   &  &  & &    &     &   &  &  &  &   &       & ,  &  &   ,.  &21  &  & ,!!!!!,! !" &       &  & , , & &  , & &,  &   & ,  &       & ,  &  &   ,.  &21  &!!!!,!  & ,! !" &  & - ,  &   & ,.  & &  ,  &   & ,  &       & ,  &  &   ,.  &21  &!!!!,!  & ,! !" &  & - ,  &   & ,.  & &   &   & ,  &       & ,  &  &   ,.  &21  &  & ,!!!!!,! !" &  & - ,  &   & ,.          &   &    &  )  '' & &  ,     &  & &                &  &                         & & & 2  &    &    &    & & &&  & &  , & & &&    &    &   &   &  & & & ,  &.21  & &   &   &    & & &    & &  &     &    & & & 2    & 21  &   & ,.1 &   &      & &  & 21   &      & & & & & &   &   &  &   &    &  &  &      &       &  ,  &     &    ,.  &21  &!!!!,!  & ,! !" &   &  , &  &  &    & ,  &     &   ,.  &   &      21    ''   & ,   &     &  ,  & ,  ,.     &  &.1    & &  &  &'  &   & & & , &  &   & &      & & 2    & &   &&  , &   & &  & & &&-    &     &  &    &     & .  &  & & &&  &   &    &   &  ,.1 &  &   & & & & &))))))))))))   &   &  &  &  &  &  &  & &  &   &  &  &  &  &  &  &  &  &  &  &  &  &  &      &       & ,  &  &   ,.  &21  &  &  ,!!!!! ,! !" &          &  &    ,                       &   & &  ,  & & & &  , & &  &  &  &   &   &                                  & & & ,  & &.21  &  )*  ** **  )*  ** **  )*  ** **  *                            *  *   )    )    )    )  & & &  &  & &   &  & &  & &                                   &  & &  &  &  &   &  &  & & &                                   & &   &  &  &  &  &  *   &  *   &  *   &  *            )****  ,               &    *    &    *    &    *    &    *  ,  & & & &  &  &  &   &   &                                  &  & & & & 2    & & &       & &  &  &  & & &  &      & & 2    & &   & , &   & &  & & &&-    &  &     &  &      & &  & & &    & &  &&  &  & &  & ,  &  &.  &     & &     &2  &   &    ,.1     21  & & & &   & &  &  &   &   &                                  &  & & & & 2  & & &   &  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  &   &   &       & &       & &&  & &  & & &&        & & & *)))   &  &  &  &  &  && &    &   &&   & &    & &&  & &  & & &&                          &  && &&  &   &  &  &  &  &  &  &  &  &  &  & )                  &  &&  , .     & &  &  &  && 2     &&  &  && 2    &&  ,  &  && , .  &  '  & & &&      &      &  ' &  ,    & & &&   ' &  ,    & &  &&  &      &  ' &  ,    & & &&  &   &  & &  &      ,  &  &   & &  &  & &  &  &  & &  & &      ,. &   &  &  &  &      , &   &  &   & &  &  & &  &  &  & &  & & 2                     &   &&     ,  &       ,       ,    , &   &  ,  &        &             &  &&  & &  , & & &&       & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &          &&          &  & 2    &           &&            &  && 2                       &  &&  &  && 2     &       ,           &   &    &  & &  &  &    &  & & &     &  & ,  &     & & 2  &  &  &    &  & &     & &  & &  & &  ,  & & 2 &       &  ,    & &  & &  & &   ,  &  ,.  21 &   &  ,       &  &   &  & 2       &  &                    &  &    &     & & &  &      & & 2 & &  ,  &&  , &  & &  && , 2   2  & &  ) ) )  &  & *  & *  & *  &    &    &    & &  ) ) )  &  & *  & *  & *  &    &    &    & & &  &      & & 2 & &  ,  &  , &  & &  && , 2  2   &  & &    )  )   ,  &    & *   )  & *    ,2 &  ,       &. &    ,   & .  & & &  &      & & 2 & &   &&  , & & &  & & &-      &  &    &    &          .    21  &   &         ,.1 & ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,  &       ' & &     & &  &&   ' &     & &  &&,2  &       ' & &     & &  &&,2  &,  &  & & )  & ,  &  &   & &  &  & &  &  &  & &  & & ,. &   &  &  &  & , & ,  &  &   & &  &  & &  &  &  & &  & & 2,!"    21  &           &  & 2  &  &    &   &  &    &   &  &    &    &    & & & & & &))))))))))))))))))))))))))  &  &&  &  &  & &  &  *  & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   * )   & &  &  & &  &  *  & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *   & *  &  *                        )           )           )  &     &     &     )  & &    *  *     *  *     *  *  & & & &   &  &  &  &  &   &  &   &  &  && &  &      &  & &    &   &   &  &  &   &   &  & &  &  &   &  &          & &  & ,  &.  &  & & & ,  &.   &  &      &       &               &     &    &   &  &  &     &   & &  &  &     & &  & 2  &  &     &  &  && &  &      & &  ,   &   &  &  &   &   &  & &  &  &   &  &          & &  & ,  &.  &  & & &  ,  &.  &      &  && &  &      & &    &   &  &  &   &   &  & &  &  &   &  &          & &  & ,  &.  &  & & &  ,  &.  &     &  &  &  & &    &     & &  &  & & & 2   & &  ,.  &  &    ' &  &  &&       &      &   &  & &    &   & &  & 2 &   &      &  & &      & & & && ,  &  &     & 2 &          &      &   &  & &    &   & &  & 2 &   &      &   &      & & & && ,  &  &     2 &   , ,      &      &   &  & &    &   & &  & 2 &   &      &  & &      & & & && ,  &  &     & 2 &   , ,2  &     21 & &   &         &  &          &   &   ' &      & & &  &&,2       & & & & & &)))))))))   &  &&  &  & &  * )    & & & &  && & &     &   & &  && &    *  *   & *  &  *   & *  &  *   & *  &  *   &  &  & *  & *  &  *   & *  &  *   &   &  *   &    &    & *  &  *   & *  &  *   & *  &  *   & *  & *  &  *   & *  &  *   &   &  *   &    &     *    *    *    *    *    *    *   *    *    *    *   &     *   &    &    &    *  & & & 2  &    *   &  &  & *  &   &  *   & *  &   &  *   & *  &   &  *   & *  &   &  *   & *  &   &  *   & *  &   &  *    *  &     *    *  &     *    *  &     *   &    *  & & & 2  &      *  *   & *  &  *   & *  &  *   & *  &  *   &  &  & *  & *  &  *   & *  &  *      &  *           & *  &  *   & *  &  *   & *  &  *   & *  & *  &  *   & *  &  *      &  *           & & & 2     *   &  &  & *     &  *   & *     &  *   & *     &  *   & *     &  *   & *     &  *   & *     &  *   & & & 2      *  *   & *  &  *   & *  &  *   & *  &  *   &  &  & *  & *  &  *   & *  &  *   &   &  *   &    &    & & & 2     *   &  &  & *  &   &  *   & *  &   &  *   & *  &   &  *   & & & 2  & & &  &    & &    &  & & &         & &     & , &  & 2 & &        & &    & & &  &  &       &  &  &   &    & & &    &  &   &    & &    &  &   &  &          &   &           & & & &)   &    &  &           & & ,    &  & &  &  &    & &  &      2 &  &  &   &  ,,  & & ,    &    & & &  &  &      & &  & &    2 & &  &      &    )  )** && -   &   )* *  )* *) &* -      &*   )* *  )* *)  &  &  & &  &  &   &     &  &   &   &  &   &  &  &       )*  )*    &        & & *)))))))))))   &  &  &  &  &  &  &  &  &    &    &    &    &  &   &  &  &  &  &  &  &  &  &  &  &        &  &  ,     &   & &  ,  &  &  &  ,     &  )  '' & &  ,     &   & &                &  &                         & & & 2  &    ,     &  &  , , &  &  , &  ,      &                         & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &           &  &  ,       & &    &   &  & &   &  & & &        & & &   ,  &        & & & ,   .2  &      & & & 2  &    ,  &   &   &         &  &  ,  &    , .  & 21  &  &      &   ,  &  ,  &     &    '' , .21                         &     *   *      *      &  & &  &   &  & &  &&  & &  , & & &&    & &  &    *  *  &     * )     ) ) **      & &  &  &      & & 2    & & ,  &&  , &   & & &  && , 2   2  &  & &                                 &   &   &  2  &  &  & &  ,2  &   &  ,.1 &   &    , &   &    , &  &   &    , &  &  &   &    , &  &   21 &   &  &   & &   &   &    & & &    & &  &     &    & & & 2 &   &   & &  & &  & &                  & *  & *  & *  & *  & *  & *  *                  &  )   &  )   &  )   &  )   & &                                  *      & &  *      & &  *      & &  *  & &  *  & &  *  & *  & &  * )               & & & 2  &  &   & )    &   &   &  &  &  &    &  &      &  &      & &  & 2   &      &    &    &    & & &))))))))))))   * )  ))  ** ** )   *  &  *  &  *  &  *                    &  *  &  *  &  *  &  *                  * )  ))  ** ** )    *  &  *  &  *  &  *                   &  *  &  *  &  *  &  *                  * )  ))  ** **  )   *  &  *  &  *  &  *                   &  *  &  *  &  *  &  *                  *  * ) )  )*    *  *  *  *  &     )*   *  &     )*   &     )*   &     ) *   & & &))))))))))))  &  *  &  *  &  *  &  *  &  *  &  *       **   *  *     *  *     *    *   *  &  *  &  *  &  *   *   &     *  *   &     *  *   &       **   &     *  *  *  *  *  *  *  *             & &))))   &   &  &  & &    &  &   & &   &   &        & &&  & &  & & &&       &  &  &     &  &   &  &  &  &  &  &  &  &  &  &  &  &  &   & &  ,  &        &             & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &          &   &  &   & &&  & &  , & & &&       &  &      ' & &  ,  &     &    &  &&  &    &   &  &  &     &     &     & &  & 2  &  &      ' &  ,  &     &    &  &&  &    &   &  &  &&   ' & &  ,     &    &  &&  &  & &    &   &  &  &   &)*   &   & &)*   &   &)*   &  &))*   &))*  ** * *   &   **   &   **  &    &  & &  & & 2  & &  &  ,  &  &. &  &  &  &  &  &  21  &  &     &  &  )  '' & &      &   & &     & & & 2  &     &    &&  &  &&   &  &  &   &   &  &  & & &  &&  & & , & & &&    &  &    &  &  *      &    *   &    *   &    *   &    *   &   *  &    &   *  &   *  &   *  &   *  &   *  &   *  &   *  &   *  &   *  &   *  & &  && ,. 21  &      & & &))   &  &  &  &  &  &    &  &   &  &  &  &&  & &  & & &&       &  &     &         &             &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &          &  &   ' &   &    &&  &     &   & & &   &  &&      &        &        &      &  &      ' &     &  &  &&  &      ' & &     &  &  &&  & &   ' & &      &  &   ' &   &   &  &  &  &  &  &  &   &   &  &   &  &     &  &    &   &       &&***        &&***          &&***          &   & *    & *     & *        &  & &  & 2  & &  & ,  &  &.   &     &    &     &   &    &    &    &  &      & &   &   &  &          &&  & &  & & &&   &  & & & &)))   &  & &   & &-   &   &  *     *     * )  )*   **    )    )         *       & & & & &   &   & & &  &       &     &  &   &  &  &  &  &   &  &  &  *  &  & & & 2         &          &   &   & &               & & & & &   &  & &   & &-   &   &  &  &    &    &  &  &   & & & &   &     &  &   & &&-   &&  &    &   *  &   *  &  & &  & 2       & &)   &   & & &)*  &))   & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & &)   &   & & &)*  &))   & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & & & &)))   &   * ) )  )  & & &)*  &))    &) *  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    &    &    & & & 2       & & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  &   *  & & & 2       & &)   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    * ))   &  &  ))    & & & 2       & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   &   & & & 2       & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   &   & & & 2       & &   &  & & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &    & & & 2       & & &   &   &&  &   && & &   & &-   &   &  &  &    &    &   &   & &  & & &   &    &  &    &     &  & &  & 2       & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  & & & 2       & &   &  & &   & &-   &   &  &  &    &    &  &  &   & & & &   &    & &  &    &  & &  & 2       & & &   &  & &   & &-   &   &  &    & &    &  &  &   & & & &   &    &  &   *  &   *  & & & 2       & &   &  & &   & &-   &   & &    & &    &    & &  & & &   &      &   & & & 2       & & & & & &))   &   & &        & &   & & &-   & & & &-   &   &   &  *  *    *        &    &        & & & & & * &   &  '   & &   & & &-  &  &   &    &  &  &     &  &         & & & 2      & &  & &  &  & & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &         &                   & &             &   &   &  &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &  & & &)   &   &  & &                 &   &                  &  )  &  &                      &     &  &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &         &       &           &  * )  ) )  )) ) ** )    &    &            &            &      &  & &  &&      & &&    &   & & & & & & & &))))))))))))   &  & &   & &-   &   & & &     & &&-   &   & & & & ,  & & & ,. &   * )  )) ** )) ** ) )  * )  )) ** )) ** ) )  * )  )) ** )) ** ) )         )  )  )            *  *  *  )               )               )     & 21               & & & & &)))   &  & &   & &-   &   &  &   *     *     * )  )*   **    )    )         *   & &     & &&-   &   & & & & ,  & & & ,. &   *  &    *  &    * )  )*   **   &  )   &  )    &    &   * 21            & & & & &   &   &  & & &   & &-   &   & &  &              &  & & &   &           & & &   & &-   &   & & & & ,  & & & ,. &   &  &  & &    &   & & & ,  & & & ,. 21  & &  &   & &      & & 2    & &   &&    & &  & & &&-    &         &  &    &  & & & &   &  &  &   &   *  &   * 21            & & & & &   &   & & &   & &-   &   & &    & &   & &-   &   & & & &  ,  & & & ,. &   & &    &    & & & ,  & & &  ,. & & &    21  & & & &   ,  & & & 2 & &   & &-   &   & & & ,  & & & ,. &           *    *    *  &   &  &   & ,  & & &  ,. 21 & 21         21            & & & & & &   &   &  &  & & &  &       &     &  &  &  &  &  &  &            &  & & &   &        , &   &  &  &  &   &  &  & & &   & &   &   & & &  &  &  & &  &   & &    & &   &  &  &  &  & &   &  *  &  & & & 2     2    &          &   &   & & &   & &-   &   &      &      & &   &      &   &  &   ,  &  &   &  & &   ,  &   & & & & ,  & & &   ,. &   ,     & & &  &      & & 2 & &   &  , & & &  & & &-    &       & &     ,.1 &           &   &     &   &    & & 2    21 &    &     &   &    & & 2   &  & &   &    & & ,. & &   &  & & &  & & &-         & &    & &&-   & &  &     & ,  2     &          & & & & & & &)))))   &  & &   & &-   &    &   & & &     & &&-   &   & & & &  ,  & & & ,. &  & & &  & &   & &      & & 2   & &   && , &  & &  & & &&-   &   &  & &             &  &   & & ,. 21 &  *  *  )*   )*   )*   &   *  &    &    &    &    &   21            &   &   &  &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &  & &)   &   &  & &                 &     &                  &  )  &  &                   &  &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &         &     & &             &  * )  ) )  )) ) ** )            &           &   & & & &)))   &  & &   & &-   &   &  *     *     * )  )*   **    )    )         *       &   &   &  &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &  & & &)   &   &  & &                 &   &                  &  )  &  &                      &     &  &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &         &       &           &  * )  ) )  )) ) ** )    &    &            &            &      &  & &  &&      & &&    &   & & & & & & & &))))))))))))   &  & &   & &-   &   & & &     & &&-   &   & & & & ,  & & & ,. &   * )  )) ** )) ** ) )  * )  )) ** )) ** ) )  * )  )) ** )) ** ) )         )  )  )            *  *  *  )               )               )     & 21               & & & & &)))   &  & &   & &-   &   &  &   *     *     * )  )*   **    )    )         *   & &     & &&-   &   & & & & ,  & & & ,. &   *  &    *  &    * )  )*   **   &  )   &  )    &    &   * 21            & & & & &   &   &  & & &   & &-   &   & &  &              &  & & &   &           & & &   & &-   &   & & & & ,  & & & ,. &   &  &  & &    &   & & & ,  & & & ,. 21  & &  &   & &      & & 2    & &   &&    & &  & & &&-    &         &  &    &  & & & &   &  &  &   &   *  &   * 21            & & & & &   &   & & &   & &-   &   & &    & &   & &-   &   & & & &  ,  & & & ,. &   & &    &    & & & ,  & & &  ,. & & &    21  & & & &   ,  & & & 2 & &   & &-   &   & & & ,  & & & ,. &           *    *    *  &   &  &   & ,  & & &  ,. 21 & 21         21            & & & & & &   &   &  &  & & &  &       &     &  &  &  &  &  &  &            &  & & &   &        , &   &  &  &  &   &  &  & & &   & &   &   & & &  &  &  & &  &   & &    & &   &  &  &  &  & &   &  *  &  & & & 2     2    &          &   &   & & &   & &-   &   &      &      & &   &      &   &  &   ,  &  &   &  & &   ,  &   & & & & ,  & & &   ,. &   ,     & & &  &      & & 2 & &   &  , & & &  & & &-    &       & &     ,.1 &           &   &     &   &    & & 2    21 &    &     &   &    & & 2   &  & &   &    & & ,. & &   &  & & &  & & &-         & &    & &&-   & &  &     & ,  2     &          & & & & & & &)))))   &  & &   & &-   &    &   & & &     & &&-   &   & & & &  ,  & & & ,. &  & & &  & &   & &      & & 2   & &   && , &  & &  & & &&-   &   &  & &             &  &   & & ,. 21 &  *  *  )*   )*   )*   &   *  &    &    &    &    &   21            &   &   &  &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &          &&  & &  & & &&   &  & & &)   &   &  & &                 &   &                  &  )  &  &                      &     &  &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &         &       &           &  * )  ) )  )) ) ** )    &    &            &            &      &  & &  &&      & &&    &   & & & & & & & &))))))))))))   &  & &   & &-   &   & & &     & &&-   &   & & & & ,  & & & ,. &   * )  )) ** )) ** ) )  * )  )) ** )) ** ) )  * )  )) ** )) ** ) )         )  )  )            *  *  *  )               )               )     & 21               & & & & &)))   &  & &   & &-   &   &  &   *     *     * )  )*   **    )    )         *   & &     & &&-   &   & & & & ,  & & & ,. &   *  &    *  &    * )  )*   **   &  )   &  )    &    &   * 21            & & & & &   &   &  & & &   & &-   &   & &  &              &  & & &   &           & & &   & &-   &   & & & & ,  & & & ,. &   &  &  & &    &   & & & ,  & & & ,. 21  & &  &   & &      & & 2    & &   &&    & &  & & &&-    &         &  &    &  & & & &   &  &  &   &   *  &   * 21            & & & & &   &   & & &   & &-   &   & &    & &   & &-   &   & & & &  ,  & & & ,. &   & &    &    & & & ,  & & &  ,. & & &    21  & & & &   ,  & & & 2 & &   & &-   &   & & & ,  & & & ,. &           *    *    *  &   &  &   & ,  & & &  ,. 21 & 21         21            & & & & & &   &   &  &  & & &  &       &     &  &  &  &  &  &  &            &  & & &   &        , &   &  &  &  &   &  &  & & &   & &   &   & & &  &  &  & &  &   & &    & &   &  &  &  &  & &   &  *  &  & & & 2     2    &          &   &   & & &   & &-   &   &      &      & &   &      &   &  &   ,  &  &   &  & &   ,  &   & & & & ,  & & &   ,. &   ,     & & &  &      & & 2 & &   &  , & & &  & & &-    &       & &     ,.1 &           &   &     &   &    & & 2    21 &    &     &   &    & & 2   &  & &   &    & & ,. & &   &  & & &  & & &-         & &    & &&-   & &  &     & ,  2     &          & & & & & & &)))))   &  & &   & &-   &    &   & & &     & &&-   &   & & & &  ,  & & & ,. &  & & &  & &   & &      & & 2   & &   && , &  & &  & & &&-   &   &  & &             &  &   & & ,. 21 &  *  *  )*   )*   )*   &   *  &    &    &    &    &   21            & & & & & & &   & &  &    & &-   &  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  &   &    &    & &            &      &  &    &    &    &    & &              &     &  &  & &    &  &   &  & &  &  ,  &  & & &   ,. &   & & & & & * & & & &)))))))))))))   &  &  &  &  &   &     & &&-   &  & &   &  &  &  &           )      &  &  &     & ,  &    &  &    & &   &   & )   &  &  & &*  *   &    &  &*   & &    &  & & &  &     &  & & &    & & & & &     &  &  &    & &         &        & &  ) &  &  & & &- &  & &   & & &&-   & &    & &**   &  & & & ,. 21 &  *    *  *    *  *    *       *    *    *       *    *    *       **   *  * ) )       &    )   &*   *     &   * )  &  )   & ) )   )    &      &  &    &  &      &  & & & 2 )  ** **  &    *    *    *    *    *    *    *    *    *      *  *  *           &       &  & * ) * * *  *  * ) )  )* * *  ** & &      &   & &  & * * *            ***             ***             ***   )  ) & &      **       **       **   & *             ***  *            ***  *            ***  * )  &  &       & &-   &  &   &   &  & *  & *  & *  & *  & &  & &        &   & *** *   & &      &   &   & *** *   & &      &   &   & *** *   &      &   &   & &  &    *    *      *        & &   & & &    & &      & &    & &  & 2    &   & &   &  &  &   & & ,  &  & & &  , . &  & &   & & &  & &  &      &  & & & 2  &  & & & ,  &.21       & &    &  &  & &  &  ,  &  & & &   ,. &   & &))))))))))))   &  &  & &   &   & )  & & & 2  &  &   &  &   &  & &  )  & & &   &  & )*   & )*   & )*   )  & &    )*  ) ) ) ) )  & & &   &  & *   & *   & *  )      & &    )*   & & &   &  & *   & *   & *  )      & &    )*  )  )         & &  &  & &  &  & &  & &  & *  &  *   & *  &  *   & *  &  *  **     &  *   &  *   &  *     **        &    &    &    &    &    &    &    &    &    &    &    &    & &  & 2  &  &   &   & &  * )  )   & & & 2  &  &      &   &  &    &  & &    &  &  &     & & &    &    &   &  &  &   &  ,  & & 2  & & 21 &    & &  &   & &      & & 2    & &   &&  , &   & &  & & &&-    &         &  &    &    &  & & & 2 & &  ,.1 &  &   & &))   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &   &  &  &  &  &  &  &  &  &  & &  &        &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &    &  &  &!!!  ,!           &  &+!!!! ,!            &  &+!  &   &         &  & &    &  ,       &  &     & &   & &    &  &   & &      & & 2    & &   &  , & & &  & & &-    &           &  &  &   & &      & & 2    & &   &  , & & &  & & &-    &         &  &    &  &   & &      & & 2    & &   &  , & & &  & & &-    &           &   &    &  &   & &      & & 2    & &   &  , & & &  & & &-    &         &  &    &  &   & &      & & 2    & &   &  , & & &  & & &-    &            &  &    &  ,       &  &     * * * *)**    &  &   & &      & & 2    & &   &  , & & &  & & &-    &           &  &  &   & &      & & 2    & &   &  , & & &  & & &-    &         &  &    &  &   & &      & & 2    & &   &  , & & &  & & &-    &           &   &    &  &   & &      & & 2    & &   &  , & & &  & & &-    &         &  &    &  &   & &      & & 2    & &   &  , & & &  & & &-    &            &  & &    &  ,     &  & &   & , , &   & &  &, ,,   &  ,       &  &    &  &   & &      & & 2    & &   &  , & & &  & & &-    &         &  &    &  &   & &      & & 2    & &   &  , & & &  & & &-    &         &  &    &  &   & &      & & 2    & &   &  , & & &  & & &-    &            & 2  & &              +!  &   &   & &   & &  & +  + &   &  +  + +!  &   &   &  & &   &&  &   *   &   &&  &    +  &    & &   &  &  &  & &-         +!   &&  &+! &   &   +! ,!    & &  , & & &&             &  &+!               &&  & &  , & & &&            &+!!         &+!  &         &  &+!           &+!  *         &  &+!        &*   &+!  &   &   &  & &   * & & &      &              & *  &  &   & & & &      &       &  & &    +  &    &   & & &   & &  &  &   & &-  &&  & &  , & & &&          +!  &   &   &  & &   & * )   & & &-     & -  &* ,  &   &*  &   & * )   & & &-     & -  &* ,  &    + )2 &    & &   &  &  &  & &-         +! &   &          &+! &   & &  &  &     &  & &      &  &     &  &              &  &   & &    &    & &                 &+!  &   &   &  & & &  &  &  &  & &     & &-   &  & &      &  &     &  &              &  &   & &    &    & &         & &   &  &  &  & &-         +!  &   &   &  & & &    +  &  &         &  &  2  & &   &   && ,  & ,.  & &    , &   &   & &-   & & &   &  &  ,          +  &  & & &  & &   & & & &      &        & & & &   * & & &      &              & *   & & &  &&  & &  , & & &&          + &  &   &   & &-    & &&  & &  , & & &&          +  &   &   & &-    & & & &      &        & & & &&  & &  , & & &&          + &  &   &   & &-    * & & &      &              & *   & & & &&  & &  , & & &&          +,21       & &   & &  &  &   & &-  &  ,          +! &   &           &  &  & &   & & & &      &        & & & &   * & & &      &              & *   & & & & &  &  &&  & &  , & & &&           +! &   &  &   &   &   &  ,          +  &  & & &  & &   & & & &      &        & & & &   * & & &      &              & *   & & &  &&  & &  , & & &&          +!  &   &   &  & & &    +  &  &         &  &  2  & &   &   && ,  & ,.  & &    , &   &   & &-   & & &   &        +  &  & &  & &  *  & &  &&         + &  &   &   & &-    &&        +  &   &   & &-    &        + &  &   &   & &-    *         +,21       & &   & &  &  &   & &-        +! &   &           &  &  & &  & & &  && &  *           +! &   &  &   &   &         +  &  & &  & &  *  & &  &&         +!  &   &   &  & & &    +  &  &         &  &  2  & &   &   && ,  & ,.  & &    , &   &   & &-   & & &   &     )   +  &  & &  * &  &* & &   & * )   & & &-     & -  &*, )2        + &  &   &   & &-    & * )   & & &-     & - &*        +  &   &   & &-    &*        + &  &   &   & &-    *        +,21       & &   & &  &  &   & &-     )   +! &   &           &   &  &  & &  * & &   & * )   & & &-     & -  &*, &  &* )2        +!  &   &   &  & & &    +  &  &         &  &  2  & &   &   &&  ,  & ,.  & &    , &   &   & &-   & & &   &        +  & &   &        + &   *        + & &   & &&  & &  , & & &&          +       + &  &   &   & &-    & &&  & &  , & & &&          +  &   &   & &-    &        + &  &   &   & &-    *        +,21       & &   & &  &  &   & &-        +! &   &  &   &   &       )  +  &  & &  * &  &* & &   & * )   & & &-     & -  &*, )2        +! &   &           &   &  & &   &        + &   *        + & &   & &&  & &  , & & &&          +       +! &   &  &   &   &         +  & & &   & &&  & &  , & & &&          + &   &        + &   *        +       +! &   &  & &   +   &   & &   &  &  &  & &-   & & &   +.!! &   &  & &&  & &  , & & &&            &+! &   &  &&          &+!  &   & &   &  & * )   & & &-     & - &*        +!! &   &  &          &+! &   &  & & & &      &        & & & &&  & &  , & & &&            &+! &   &  &*          &+! &   &  &  +! &   &       +! &   &         +!! &   &  *          &+! &   &  * & & &      &              & *   & & & &&  & &  , & & &&            &+! &   &  *           &+! &   &  *  +!!!! &   & ,!!!! &   &   &&&          & ,!!!! &   &  & &   &    &   & &  &      &           ,!!!! &   &  & &   &    &   & &  &      &             & &       &      ,!!!!!!!!    &   &  & &     &   & &   & &  &  &   & &-   & & & 2  &   &        &  &  & &   &  &  &  & &-       + &  + * )   & & &-     & - &*  & &   &  &  &  & &-       +!!!!    &   & &     &   & &   & &  &  &   & &-   & & & 2        &  &  & &   &  &  &  & &-        + &   + * )   & & &-     & - &*  & &   &  &  &  & &-        +! &   &  &   &  &  &  &   & &-            &  &   & &    &       &   +   &   & &   &  &  &  & &-   & & &   +.! &   &  &   & &  &  &     &  &  &   & &-            &  &   & &    &     &  & &      &  &     &  &                 &  &   & &    &    & &        &   +   &   & &   &  &  &  & &-   & & &   +.!  & &   * & & &      &              & *  &  &   & & & &      &       &  & &    &   &   & &  &   &   &  &  &  & &-  &&  & &  , & & &&         &  &   & &   +   &   & &   & &  &  &   & &-   & & &   +.!!!!  & &   &    &   & &  &      &       &   &  &           , &      &  & &      &  &     &  &                  &  &   & &    &     & & & , &.21 &   &                     &  &   &  & & &  & &   & & & &      &        & & & &   * & & &      &              & *   & & &  &       &   & &  & &    & &         &   &  &  &   &  &  &   & &-           &  &   & &    &         & & & 2        &   &  &  &   &  &  &   & &-           &  &   & &    &         ,  &.   &   & &   * & & &      &              & *  &  &   & & & &      &       &  & & ,  &    &   & & &   &  &  &  & &-  &&  & &  , & & &&        &   & &   *   &   &&  &   &&  & ,  &    & &   &  &  &  & &-       &   & &   &*  &   & * )   & & &-     & -  &* ,  &   & * )   & & &-     & -  &* ,  & , )2 &    & &   & &  &  &   & &-      21    +!!!!  & &   &    &   & &  &      &       &   & &        &      &  & &      &  &     &  &                  &  &   & &    &     & & & , &. & &   &                     &  &   &  & & &  & &   & & & &      &        & & & &   * & & &      &              & *   & & &  &       &   & &  & &    & &         &   &  &  &   &  &  &   & &-           &  &   & &    &         & & & 2        &   &  &  &   &  &  &   & &-           &  &   & &    &         ,  &.   &   & &   * & & &      &              & *  &  &   & & & &      &       &  & & ,  &    &   & & &   &  &  &  & &-  &&  & &  , & & &&        &   & &   *   &   &&  &   &&  & ,  &    & &   &  &  &  & &-       &   & &   &*  &   & * )   & & &-     & -  &* ,  &   & * )   & & &-     & -  &* ,  & , )2 &    & &   &  &  &  & &-      21    +,!!!!  &   &  &          &  &  2 & &   &   && ,  & ,.  & &   &    &   & &  &      &        &  &  &         & & &         &   &,   &   &  & &   &&  &   &&  &   *   &  ,  &    & &   &  &  &  & &-       ,! & &       )  &   &,   &   &  & &   & * )   & & &-     & -  &* ,  &   & * )   & & &-     & -  &* ,  &   &*  &  , )2 &    & &   &  &  &  & &-       ,! & &  &  ,           &   &,   &   &  & &   * & & &      &              & *  &  &   & & & &      &       &  & &  ,  &    &   & & &   &  &  &  & &-  &&  & &  , & & &&        ,! & &         &   &,! & &  &  ,             &   &,       &  ,      &   &  & & &  & &   & & & &      &        & & & &   * & & &      &              & *   & & &    & &   & &  &  &   & &-   & &            ,! & &  &         &   &,   &   &  &  &  &  & &   &  &  &  & &-       ,!         &   &,!!!! & &    & ,!  ,! &&          &   &,!,! ,! !"21  &  &  &  & & , .1 &      &  ,        &  &&       &   ,   ,21 &   ,!      &   &   ,!  &     &   &  &   &   ,!  &     &   &  &   &  &   &   ,!  &     &   &  &   &  &   &  &   &   ,!  &     &   &  &   &  &   &  &   &  &   &   ,!  &     &   &  &   &  &   &  &   &  &   &  &   &   ,!  &     &   &  &   &  &   &  &   &  &   &  &   &  &   &   ,!  &     &   &  &   &  &   &  &   &  &   &  &   &  &   &  &   &   ,!  ,!"! &    ,  & &   *   &   &&  &   &&  &  &    &   &  &   &   &  &  &  & &-       &   &     & &   *   &   &&  &   &&  &  &   &   &  &   &   &  &  &  & &-          &   & &   *   &   &&  &   &&  &  &   &   &  &  &   &  &  &  & &-           ,! &    ,  & &   &*  &   & * )   & & &-     & -  &* ,  &   & * )   & & &-     & -  &* ,  &  * ) 2 &   &  &  &   &  &  &  & &-         ,! &    ,  & &   * & & &      &              & *  &  & &  & &   & & & &      &       &    &   &   & &  &  &   &  &  &  & &-  &&  & &  , & & &&           ,!  & & &   &   ,  &  &   &  &,  & &   &  &  &  & &-   & &    &   &  & &      &  &     &  &     &               &  &   & &    &    & & 2 &   &                     &  &   &  & & &  & &   & & & &      &        & & & &   * & & &      &              & *   & & &  &       &   & &  & &    & &         &   &  &  &   &  &  &   & &-           &  &   & &    &         & & & 2        &   &  &  &   &  &  &   & , 2          &  &   & &    &         ,  &.   &   & &   * & & &      &              & *  &  &   & & & &      &       &  & & ,  &    &   & & &   &  &  &  & &-  &&  & &  , & & &&        &   & &   *   &   &&  &   &&  & ,  &    & &   &  &  &  & &-       &   & &   &*  &   & * )   & & &-     & -  &* ,  &   & * )   & & &-     & -  &* ,  & , )2 &    & &   &  &  &  & &-      21    +!  ,!"21    &'  & &   &   &'  ,   & & '  , &  & &'  ,       &   , &   &  &  &  & &-         ,!   +!"21 &    & &   &  &  &  & &-    &  &             *-  &  &    &  &  &  &  & ,  &    &  &   & &  &  &   & &-       &  &  & & &      &              & *   & & & &  & & &      &        & & & & & ,   & &   & &  &  &   & &-  &&  & &  , & & &&        &  & &* &  * )   & & &-     & -  &*, &  * )   & & &-     & -  &*, & , )2  & &   &  &  &  & &-      21     &     +   & &   & &  &  &   & &-   & & &   +   & . &    & &   &    &   & &  &      &       &   ,!      &   &   ,!  &     &   &  &   &   ,!  &     &   &  &   &  &   &   ,!  &     &   &  &   &  &   &  &   &   ,!  &     &   &  &   &  &   &  &   &  &   &   ,!  &     &   &  &   &  &   &  &   &  &   &  &   &   ,!  &     &   &  &   &  &   &  &   &  &   &  &   &  &   &   ,!  &     &   &  &   &  &   &  &   &  &   &  &   &  &   &  &   &   ,!  ,!"21 &  & -    &      &   & &   &  &  &  & &-   & & & 2   &   & & &   + &   * & & &      &              & *  &  &   & & & &      &       &   &    &   & & &   &  &  &  & &-  &&  & &  , & & &&         + &   & &   + &   *   &   &&  &   &&   &    & &   &  &  &  & &-        + &   & &   + &   &*  &   & * )   & & &-     & -  &* ,  &   & * )   & & &-     & -  &* ,  )2 &    & &   &  &  &  & &-        +  +.1 &   &   & &   & * )   & & &-     & -  &* ,  &   &*  &   & * )   & & &-     & -  &* ,  &      & )2 &  & &   & &  &  &   & &-           & &   & &   *   &   &&  &   &&  &      &  &  & &   &  &  &  & &-           & &   & &   & & & &      &       &  &   * & & &      &              & *  &  & &      &  &   &   & & &   &  &  &  & &-  &&  & &  & & &&            &     &!  & &   & &  &  &   & &-  &   &    &   &  & &  &  &       &  &     &  &              &  &   & &    &     &       & & & 2 &      &   &  &  &    & &&-   &  &  &   & &-           &  &   & &    &         & & & 2    &! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,!  & &   &  &  &  & &-   & &   &    &   &   &   &  & &   &  &  &   &   &  & &   &  &  &  & &-         & &  &  &       &  &     &  &              &  &   & &    &     &      & & 2 &      &  &   &  &  &    & &&-   &  &  &   & &-           &  &   & &    &        & & 2    &! ,! ,!" & &   &   & &       &   & &       & & ,  &.  &        & & &   &  &   &        & &   &          &  & & , &   &.  & &   &   &          &  &  2 & &   &   & &  ,  & ,.  &        & &   &     &   & &  &      &  & &   &  &  &   & &-           &  &   & &    &        &     &  & &      &  &     &  &                &  &   & &    &    & &          &  &  &   & &-           &  &    & &    &    21    &'  & &   &   &' ,   & & ' , &  & &' , &&  & &  & & &&   &    &                   &  & &    & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &         &  &          , 2  &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-      &  &  & &  &  &      &  & & & 2    &  2       & &   & &  &    &   &      & & & & & &)   &   &   &  &  &  &  & & &  &      & & 2    & &  &  &   & & & & &&-    &     &  & & &&  &  &    &  &  &   & &      & & 2    & &  &  &   & & & & &&-    &     &      &   & &   &  &    &   & &   &  &  &   * & & &      &              & *   & & &  &   &  &   & & & &      &        & & &    &   &&  &  &  & & &  &      & & 2    & &  &  , &   & & & & &&-    &     &  & & &&  &  &    & &   ,  &  &   & &      & & 2    & &  &  , &   & & & & &&-    &     &    & &     & & &   ,. &  &   &  &21  & &  &    &  &    &  &     &  &  & &      & & 2    & &    &  &    &  &     &  & &  &   & & & & &&-    &      &  &    &  &     &  & & & &   &      &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &       &   &     & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        &   &)   &  &   & &  &  & &   &  &  & &'  , * )   & & &-     & - &* ) ,!!  & & , &  ,  & &'  , * )   & & &-     & - &* ) ,!,! ,! ,!"21 &    & & &  * )   & & &-     & - &* )    &  )*  21  & &   &   &   &     & &   &  &&   & & & &     & &   &  &   & &  &  &    &  &&    &  &&  &        ,    &  &&  &    ,  &,    &  &&  &    ,    &  &&  &        ,  &  &       ,2          & & ,  &  '' ,.  &    && ,  '' ,.  &         &  '' 21          &    &  & &  ,  &  , .    & &   ,.  21  &  ''        &  &&  &      ''    &    &&  ,      '' ,. 21     &  ''   ,.  & & & & &   & &  &     &     &  , &  &   &    &  &     &  221  &             &  &     & & & , &   &  & ,  &  &  221        &  &   &      ,!!       &   &  &     &        &  &  &     &  & &  ,   &+!    + &  ,   &+!!    &+!  &    + &  &      +!,!  &     & & & , &   &  & ,  &  &  221     &    +  &     +!   +!".1    &  &  &     &  &,!  &     & & & , &   &  & ,  &  &  221     &    +  &     +!!     &+!  &    + &  &      +!    + &  ,   &+!   +!".121 &         ,  &            &!!!   &!         &  &  &  &  &!!!!!!,!   & ,,! & ,  &   & ,,! & ,  &   & ,,!! & ,      &,!!"   &.1         !"21  & &  &     &     &  , &  &   &    &  &     &  ,.  &21     &       & &   &  &      &  &     &     & 2  &     &     &   &  &    &     &)   &   &  & &   &   * & & &      &              & *   & & &          &    & &               & &               &  &                               &    & & &   &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &      &  &    &  &     &    & , &  &   &    &  &     & 221    &     & &  &     &        & , &  &   &    &  &     &     ,.   21 &   -   &  &!!!!!,!  & ,,!,!"     &    & &  &   &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &      &    &      & &       &  & & &  &      & & 2    & &   &  , & & &  & & &-    &       & &  &&  &  &        &  & && &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &         &          &  &    &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &       &   & &   & &     & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &        &   ,21  &   &          &  &  2 & &   &   && ,  &  ,.  &      &      & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &        &  ,  &    &          &  &    &       &  &    &             & &  &   & &      & & 2    & & ,  &  , &   & & &  && ,   &2   2  &        &  ,    & &  &   & &      & & 2    & & ,  &  , &   & & &  && ,   &2   2  &        &  ,       & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &        &  ,!      &  &    &             & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &        &  ,    & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &        &  ,!      &      & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &        &  ,  &      &         &    ,  &    &   & &    ,. &     & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &      & &     &    &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &        &  ,!       &  ,  &    &   & &  ,.     & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &        &  ,!  &  &            &          &  &      &      &      ,  & &  &   & &      & & 2    & & ,  &  , &   & & &  && ,   &2   2  &       &   &    & ,!          &  &      &      &      , ))*  ))*  ,  & &  &   & &      & & 2    & & ,  &  , &   & & &  && ,   &2   2  &    2 &    & &  &   & &      & & 2    & &  ,  &  , &   & & &  && ,   &2    2 &    &     &  &    &  &   & &      & & 2    & &  ,  &  , &  & &  && ,   &2    2       &   &    & ,!          &  &      &      &      ,  & &  &   & &      & & 2    & & ,  &  , &   & & &  && ,   &2   2  &       &   &    & ,!          &  &          &      ,   &    & ,!          &  &      &      &      ,   &    & ,!  & &   & &     & &  &   & &      & & 2    & & ,  &  , &   & & &  && ,   &2   2  &      & &  &   & &      & & 2    & &  ,  &  , &   & & &  && ,   &2    2 &    &     &  &    &  &   & &      & & 2    & &  ,  &  , &  & &  && ,   &2    2        &     & ,! ,! ,!    & ,!!!!          & ,! ,!          &  &      &      &      ,  & &  &   & &      & & 2    & &  ,  &  , &   & & &  && ,   &2    2 &    &     &  &     & & &  &      & & 2    & & ,  &  , &  & &  && ,   &  &2    2 & &   & &      & & 2    & & ,  &  , &  & &  && ,   &2     2       &   & &    & &        &  ,  &    &   &  &  ,. &      & &  &   & &      & & 2    & & ,  &  , &   & & &  && ,   &2   2  &        &       & ,!   !"21  &  &   ,   .1 &     &  ,      &   ,  &    &   & &   ,. &     &  ,      &   ,  &    &   & &   ,. &      &         &  ,  &     & &  ,.21 &        &  &    &   & &  &   & &      & & 2    & & ,  &  , &   & & &  && ,   &2   2  &       &       &  ,.   & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &       & ,  21     & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &        &  ,! ,!"21 &      &'  & &   &   &' ,   & & ' , &  & &' ,  & &     & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2      &    &      & &       &  & & &  &      & & 2    & &   &  , &  & &  && ,   &2        & &  &&  &  &        &  & && &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &      &       & &  ,  &  &. 21  & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &        &   ,2    &   &  &   & &     & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &      & &   ,  & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2      &    &     &  &    &  &   & &      & & 2    & &   &  , &  & &  && ,   &2          & &     & &  &      &     & & 2   & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &      & &   ,    & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2       &    &      & &       &  & & &  &      & & 2    & &   &  , &  & &  && ,   &2        & &  &&  &  &        &  & && &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &       & &   2 &  &   & &      & & 2    & &   &  , & & &  & & &-    &            &        ,21       &  ,  &    &   & &  ,.  & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &       &  21      &-   &    &   & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &       &       &2  & &  &  &     &  , & &  , & +  & + &  &   . & &  , &      &.1 & ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,!  &      &     ! !" & & & & &   &   & &  &     &     &  , &  &   &    &  &     &  221   &   &     &      & & & , &   &  & ,    &  &  221   &&   ''     &  &    '' ,  &  &   &   , &   , &   ,   ,    2  &  '' 2 21  &          &        &  &  & &       &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &       &   &     & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &      &  &      &  &    &  &  &   & &      & & 2    & &   &  & & &  & & &-    &            &    & &  &  &   & &      & & 2    & &   &  & & &  & & &-    &            &    &   & &   &     &  &      &  &  &  &     &   & ,!   & ,! ,!  &    &     & 2   & & &  & & &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &       &   &     & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &        &    &   &     &   &   ,  &  ,  ,!  &  &  &        ,!  &       & & & , &   &  & ,  &  &  221     &   &       ,!   !"21   ,  .1 &  &     &    & &  &  &   &  ''   &   &  & &  & & &&       & & ,     & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &       &   &      &  &       &  &   & &      & & 2    & &   &  & & &  & & &-    &            &    & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &     & &      &          &2 &  &  & &   &       & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &      & &          & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &      & &      &  &   & &      & & 2    & &   &  & & &  & & &-    &             &  &  & &  ''     &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &       &    &!  & &  ''     &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &       &    &!!!    &  & & ''    &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &       &    &!    &  & & ''     &    & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        &    &!"    &  &  &  &   & , ,!! & ,      &,! & ,  &   & ,,! & ,  &   & ,,!!!!!!!,! !"    &.1     &    & &   & &  & & &&   , 2    &   & & & & &))   &  &  &  & &  &      &  &   & & 2   &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        &      &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &      & &       &  & & &  &      & & 2    & &   &  & & &  & & &-    &        & &  &&  &  &        &  & && &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &         &  !    &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &      & &       &  & & &  &      & & 2    & &   &  & & &  & & &-    &        & &  &&  &  &        &  & && &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &         &  !  & &   & &     &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        &    &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &     &  &    &  &   & &      & & 2    & &   &  & & &  & & &-    &             &  !  !  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &        &     &  &       &  &   & &      & & 2    & &   &  & & &  & & &-    &             &       & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &     & &      &        ! ) * )   & & &-     & -  &*,2 * * *)**     &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        &    &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &     &  &    &  &   & &      & & 2    & &   &  & & &  & & &-    &             &  ! !" &   &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &        &     &  &       &  &   & &      & & 2    & &   &  & & &  & & &-    &          &  &    &  &   & &      & & 2    & &   &  & & &  & & &-    &          & &      &         & &  &  & &  & &    &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        &   & &   &   &  & &   &  & && &    '''' ,  &  ,  &  &. &   & &              &                & & & &   &  &  &       & &     & & &  &    & & &    &    &  &  &  &! & ,      &,! & ,  &   & ,,! & ,  &   & ,,!!!!!!!,!   & , ,! !"    &.1     &    & &      &  & &  & & &&      &   & &   &  &  &   &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        & ,    &    &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        & , &    &    &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        & , &    &    &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        & ,,2    &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &      & &       &  & & &  &      & & 2    & &   &  & & &  & & &-    &        & &  &&  &  &        &  & && &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &         &  21 &  &     &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        &   &  &   &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &       &    & &   &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &       &    &   & & & & &   &  &   & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &        &      & &     &   &  & & &  &      & & 2    & &   &  & & &  & & &-    &        &  ''    &  & & &&  &  &  &  &   &,!!  '' ,     &   &,!,!   &  &     & & & , &   &  &  ,  &  &   ,.21   &  &  & & &&  &,!   &  &  &  &,     & ,! !"21  '' ,. 21  &   &&      &   &   &        & &   &  &  &  &   &  &   &       &    &  &    &   &    & &       &    &  &    &   &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &       &    &        ,  &     & .  ''    &   &  & &  & & &&   &   & &      &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        & ,      &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        & , &   & &    &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        & , &      &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &        & , , 2 &   &  &    &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &      & &       &  & & &  &      & & 2    & &   &  & & &  & & &-    &        & &  &&  &  &        &  & && &  &   & &      & & 2    & &   &  &   & &  & & &&-    &       &  &       &  &    &  &   & &      & & 2    & &   &  & & &  & & &-    &            &     &  & & & &    &   &  & &   & & & & 2  & &   &  & & &  &  &&  ,  &    &  & &2 &       & &   & &      & & 2   & &   &&  &  & &  & & &&-   &   &  & &             &  &   & &      &     &    & &&  &     & &  & & &              & & &    ,.     &     &    & &&  &    & & &   &   &         & &   &   &     &         & & &   &   &     &            & & &   &   &  &  & &    &    &   &         ***   & & &  &  &&   & &&     & &  &   &&  & &   &   & &  & & &  &      &  &   & & & ,  &   &   &  ,. &   & &   &   &  &  & &   &   & &  & & &  &      &  &   & & & ,  &   &   &  ,. &   & &   &    &    &   &  & &   & & 2  & & & & & & & &   &  &  & & &         & , & &  &   & & ,  & & & &    , .21 & &     & & &   &   &  &    & &   ** * & & &   ,  & & &   ,. &   & &  & &   &    &  &  &    & &  &    & &   ***     &  & & & 2  &  &   & &  &    & &   *** &    & & & 2  &  & &   &  & & & &  & & &  & & & & & &  &    & & &   & &  & &           & & & & & & &    &  &  & &     &    &  &  & &   &  &  && & & & & & & &   &   &   & & & & & &  & & & & & &  & & &   &   & & &   &           & &  &   &  &  & ,  &  ,.21 &   &      &     &  &     &&  & &  & & &&       &  & &   &    &  & & ,  &   ,. &   &  &  & & &  &       &   &     ,  &    & & , .     & & &     & & 2 & &  &  , & & & & & &-          & &&  & & &  &      & & 2 & &  &  , & & & & & &-         & & &&.1  & & &    ,.1 &  &  &  & & ,  &   ,    & & 2      2 &     &   & & &  &  & & & & & &-          & & & &   &             & &  &     &  & ,  & & ,  &.  & & & ,.1   & &  & & &   &  &    &  ,  &. && & ,  &   &  , .  & &  & & &&      21       & &    & &    & &    &  & &     &     &  & ,  & & ,  &.  & & &   ,.1 &     &   &  & &     &     &  & ,  & & ,  &.  & & &   ,.1 &     &   &  & &     &     &  & ,  & & ,  &.  & & &   ,.1 &     &   &    &    &    & & & &  &   &    && & &    &&  &    &      &  &  &&  & &  & & &&    ,2 &  &  &&  & &  & & &&    ,2        &      &   &      &      &       &  2  &    &  &   & & & & &    &    &  &   &  &  &&  &   &  &  ,    &&,2   &  &    & & & &   & &      & & 2   & &   &  &  & &  & & &&-   & &      &         & &  & &  &&  & &  & & &&   &  & &  & &   &   & &    &  &&  &   &  & & & &  &   &  &   &         & & & &    ,.  &     & & & 2   &       & & & &      &   &  &  &     &  & & &  &   &         &       & & &   & &      &  & &   & &     ! &  ,! &    ! & & &     &  &  &&  &  &     ! & &   &   & &      ! & &      &   & &   ! & & & &     &   & !   ! & & &  &      &  &   &&  &      & &     ! & & & &     &    &   &   & !! !!"2    &  & '   & &      &   &   & &  &&          & &  &  & & &      && &-  &  & &   , , &, &  & &   , , &, &  &  ,2 & & & &   &  & &   &   &   &      &  &      &    & & & & & & 2 & &   &        & & & 2  &   &          & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        &   & &  & &  & &&      &  &&  & &  & & &&     ,2 &  &&  & &  & & &&     ,2    21       &   &  &   &&   &  &       &&  &       & &   &   &  &  &  & &   && &            & &&     &  &   & &   & &-   &  &   &  '  & & &&     &         &  &  2  & &   &   && ,  &  ,.  &  &  &  &  '  & & &&      & &   &  & & &     & & &  & &  , 2  & & &   , .    21 &    &   & &&     & &  & &     &    &  & & & ,  ,.   &  & & & &  , ,.21 & 221  & & &   ,. & &              &&     & & &  & &   &   & & ,  &   ,.  &  &     21 &  &         &   & &   &     & & & 2   &     &  &  &  &      &  &      &  &      &  &  &     & & 2    & 2  &   &  & &         &   &     &  & & &   & &      & & 2 & &   &  , & & &  & & &-          & ,  . &  & & &   ,.1 &    & &      &  &  &  & &  & &  &&  &             &, &            &,2  & & & 2     &  &  &  & &  & &  &&  &             &, &            &,2  & & & 2     &  &  &  & &  & &  &&  &             &, &            &,2  & & & 2     & & & &   &   &  &          &   &         &  &  2  & &   &    && ,  &  ,. &       && &   &  &  &   ,   & 221 &   &  ,   , 2  &         &  &  2  & &   &  &   &  & &  &&  & & , & & ,  &  ,.  &21 &  &   &  &   &  &           &     &         &  &  2  & &   &   && ,  & ,.     21  & &&  & &  & & &&       &     & & &     & &     &   &   & &          &   &    ,  &  & ,.  & & &  &      & & 2 & &   &  , & & &  & & &-          .1  & & &   ,.1 &    & &     &     &  &  &   &  &&  & & &  &           &, &          &,  & & &  &&  & & &             &2  & & & 2            && &   &   &    &   &   &   &   &   &   &   &   &   &    &    &        &               & & , &.  && & &    &    &    &    &    &    &    &    &    &    &     && &   &     && &     &               & & , &.  &&     &               & & , &.  && & &  & &   &  &  &   &           &  ,        & & 2  & & & 21 &   &           &      & 2         &      &   &         &    &   & &    &&  & & &   &    &     &  &&  & &  & & &&    ,2  &   &  &    &&  & &  & & &&      &  &    &   &   &  & &    &  &  &   &     &   &    & & 2  &  & &  &    &  & &     &   &  &  &   &&   & & &       & & &-    &        & & & ,   .  &       &    & & & 2     & &   &  &&   & & & &     & &   &  &   & &  &  &    &  &&    &  &&  &        ,    &  &&  &    ,  &,    &  &&  &    ,    &  &&  &        ,  &  &       ,2          & & ,  &  '' ,.  &    && ,  '' ,.  &         &  '' 21          &    &  & &  ,  &  , .    & &   ,.  21  &  ''        &  &&  &      ''    &    &&  ,      '' ,. 21     &  ''   ,.  & & & &     &&  & &  & & &&       & &  &  &&  & &  & & &&   , 2              & &   &  &         &  &  2   &  &   &  &   &  & &   &  & &  &&  & &  , & &  ,  & ,. &   &  &21  &  &  &   &           &  &   &  & 2       &             &    &               &  & & &   &  &         &  &  2   &  &   &  &   && ,  & ,.  &  &21  &  &  &   &           &  &   &  & 2       &             &    &       &  & & &  &   & & & &     & &   &  &   & &  &  &    &  &&    &  &&  &        ,    &  &&  &    ,  &,    &  &&  &    ,    &  &&  &        ,  &  &       ,2          & & ,  &  '' ,.  &    && ,  '' ,.  &         &  '' 21          &    &  & &  ,  &  , .    & &   ,.  21  &  ''        &  &&  &      ''    &    &&  ,      '' ,. 21     &  ''   ,.  &   &  &    &     &   &  &      &  &     &  &  &  &      &  &      &  &      &  &  &     & & 2     & 2  &     &     &   &  &    &     &   &  &      &  &     &     & 2  &   &  &      &  &     &     & 2  & &  &   & &   &  &   &  &    & & & 2    &   &  & &)   &   &  &  &  &  &  &  &  &  &  &  & &                 &&         &   &  & & &        &      &  &  & &  &            &  &    &&      &  &    &   & &   & &  & 2  &    & &&  &    &       ' &         &  &   & &   &   & &                &           &   &                  &                 & & & ,  &.  &   & &              &                            &                 &   &  &   &      &   &    &     &   &       &   &   &  &   &           &        '  ,       &   &    &     &   &        & &      &   &    &     &   &       &   &       &   &   &  &   &  &   &       &   &   &  &     &  &   &     &      &  & & & ,  & . &                   &               & &&        & &  &   &  &   & &  &  &   &  & & & &  & 2  &  &')*      &                & &))   &  &                      &                 -      -      -     & &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-      &  &          &        & & &    &*   & & &*      &*     &     )  )  )  )  )  )  &  &     &      &        &   &         &       &      &*       &  &         & & & &   &        & &  &    &)   &   &  &  &  &    &     &    &  & &  &  & &  &    &  &  &  &  &  &  &  &  &  &  & &   & &  &     & &  &  &   & &  & & &  & &     &   &   &   &  &  &   &  &   &   &   &   &   &   & & & &  &  & & &   &&  & & &    &              &    &  &    & & &     &  &   &   & &   & &    &   &   & &   & &    &  & &  & &    &  & &   & &        &          ,          &          ,     &            ,   &            ,   & & &    & & &  ,     & ,     &2   & &    & &  ,     &, ,     &,      2 &  & &  &,.  & &  & & &  &   &    & & &&  &  &    & &      &    & &      &    & &      &    & &     &  & & &  &   & & &    &&  &  &    & &      &    & &      &    & &      &    & &     & & &  & &  &       &        &  &  &  &  &  && &*   & & &*       )     &  & &  & ,.  & &  & 2  &   &  &  &  &  &   & &   +, &   &  &  &   &         &      &       &       &   &   ''    &   ''    &   ''      ''        ''         &  & ''        &  & ''       & & & 2  &.  &   &  &   &  &  &     &     &    &    &    &    &    &   &  &  &   &  & &  &    &  &    &  &    &  &    &  & &  &     & &  &     &  & & & 2  & & & 2  & & & &       &     &       & &          &      &      &  &   ''    &   ''    &   ''         & &          &      &      &  &   ''    &   ''    &   ''     &      &   &   & & & & &    & & & & &       &       &       &  &      & &    & & & &  &   & & &   & &  &   & &  & &   & & & &    & &   & & & &    &  & &  ,  ''  ,. 21 &     & & &    &  & & ,  ''  ,. 21  & &    & &   & &   & &   &   & &   &    &    &     &      & & &   &     &   & &   & & & &   & & &  &            & & 2          & & & * & &)))  & & '   &    **     **     **  * *  &*     & &    &   &   &         ) ) &  &    & & & 2       ) ) &  &    & & & 2       ) ) &  &    & & & 2 &   &    & &   &  &            &  &               ' & &         &&     &  &         ' & &      &   &  &    &  &  &  &  &  & & &   & & & &    & &  & &  & & & &  ,  & & &   ''  ,  &. &   &  &, &    2 & &    &  &  & & & &    & &  & &  & &  & & &  ,  & & &   ''  ,. &   &   &  &  &  &  &  & & &  &   & &  &  &  & &  & & & & &    & &  &  & & &  ,  & & &   &  ''  ,  &. &   &  &, &    2 & &    &  & & &    &  &  & & &  ,  & & &   &  ''  ,. &   &   &   &  &  &  &    &  &    &   & & &     &  &      , , 2    & ,  & & & , & &   & , &  & , , &  &   , &  & & &  & &   &  & &  ,  ,  &  &   ,  & & &  & &   & 2   & &  &   &   & &   & &  &  & & &  &  &  & &  & &  &   &  &  &   &    &  &  & &     & & & * & &))))))))))))))   &   & **    * &   * &     *                    &    &    &    &  &                 &              &  *  *   &  *  &     &     &     *  *  *               &  &   & ' &&)*  ** **  *  * )   *  *   *   *                  & **              *    *   *        *       &)*     &)*   &  &   &         &    &    & & &   &   & & &   & &          & & &    &  &  &  &  & & &   &  & & & & &   &   & &    & &    & &      & &  &  &    & &       &    &      & &    &    &    &  &    &    &     & & &   &   &    &    &    &    &      & &      &  & &      &  & &    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 ,        &    &*  &*  &* &)*   & &*   & &*     & &*   &     &     &    &  & &*   & &*     & &*          &    & &*   & &*   &   & &*   &    &        & &*   & &*   &   & &*   &    &    &  *   *   *   *   *   *    *    *    *     **                 *    *    *     **               )  &  )  &  ) &  )   & &*  & &*  &)*      &     &     &  &*           &  &*                     ,!  )  & &*  & &*  &) *      &     &     &  &*           &  &*                     ,!  )  &) *   &  &  &*  &  &  &*     &     &    &*          &*                     ,!  )  & &*  &) *   & &*     &     &     &  &*           &  &*                     ,!  )   &)*   &  &  &*  &  &  &*     &     &    &*          &*                     ,!  )   &  &  &*  &)*   &  &  &*     &     &    &*          &*                     ,!     &  &,!"21  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  & '   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &    & &  *  & *  & *      )***         *   *   * *  * **** -     ** ** **       &' &      *      *   &' &  )  *  *  * **                 *  *  *      **              *  *  *      **        **                                          *  & & ,  * & & ,  * & &    &))   *    *    *                                       *  *  *      &    &    &              *  *  *      &    &    &  &  &  & &  &  ,  & & & ,  & &  &  ,  &  &   &  &    & &    & &      &    &  &       &     ,.    &   &       &  & &              &    &    & &    &    &  &    &      &  & &              &    &    & &    &    &  &    &  & &              *  & *  & *    &      &  & &              &    &    & &    &    &  &    & &  &      & & & 22  & & &  ,.1 &   & & & & &   &   &  &  &  &      &  &    &              & &  &  & &   ,  &                        2  & & 2  & & & * * &))))))))   &  &  & &    &  *  *  *        &   &   & ***   & &  *  & &  *  & &  *      &  *   &  *   &   &  *   &    &    &   *  *  *   &  *   &  *   &   &  *   &    &    &      &  *   &  *   &   &  *   &    &    & ,  *  *  *   &  *   &  *   &   &  *   &    &    &,     &  *   &  *   &   &  *   &    &    &    &  *   &  *   &   &  *   &    &    &  & &              &2  & & & ,   *  *  *  .  & & * & & & & * & &)))   &  &  &  &  &  &  &  & &   &   &    **     **     **  ** & )*   & & & &   & &  , &  & &  ,.                          &                          &  &    & & & 2 & &   & &      & & 2   & &   &&  & & &  & & &-   &         & &  &  &      &  & & & 2  &   & &   & &  & & &  &      &  & & & 2  & & &    ,.  & &              & &              &    &    & &                      & &              & &              &    &    &    &    &    &  &  & &    &   & & & &     & &  & &  &      &  & & & 2  & & &   ,.  &   &    &,.    &  & & &  & &  &   & &  & &  &      &  & & & 2  & & &    ,.  &   &    &,. )  & &  & &  &  & & ,  & & &  ,. &  &  & &    & & &  & &  &      &  & & & 2  & & & 2    21 &   &   &  & &  & &  & &  & &  & &  & &   & & & &  & &    & *  &   &  * ) & &** ,  & & &   & *  &   &  * )  & &** ,  & *    &  ,  &  & &** ,  &   & *2   & & & 2 ))))   &  &  &  &   &  & &    & &    &  )  )  )  &  &  &    & & & 2  )  &  )  &  )  &  )  &  )  &  )  )                  &  &  )  )  )              )  )  )     &   &  &  &  &  &  &   &  & &  & &  * )       &      &     *  &   &* ******* &&&&- &              )*        & * * * -  & & &      *** , &     *** ,              *                 )  )  ) )&  & &   & &  ,     & ** ,. & &   & &      & & 2   & &   & , & & &  & & &-   &            &   & &   &        & & &    ,. &     & ,2  & & & ,.1 21 & &   & & & &    &     & & & & &  & & &    & &   &                *  &               & & & & &))))))))))  & &  ) ) )  *      &  *      &  *      &  *  *  *  ) ) )   & * )  &   &   &  *** -  ) * *   &  *   &  *   &  *   & & & 2  *      &  *      &  *      ) ) )   & * )  &   &   &  *** -  ) * *   &  *   &  *   &  *   & & & 2  *      &  *      &  *      &))))))  & &    &     &  &*  &*  &* & &  &  &  &      &  *   &*   )  )  )   *   &*       *   &*      **  &  *    & & &  , & &  ,. &   &     &))))))))   &   &  &  & &    &  &  &    & &                                                                                             &    & ) ) )  ) ) ) )  ) &    & )  *     *    *    *   &   & &  &       & &  &      & &  *  *  *)    & ,  .  &  &   &   &       &&     &&  &)))    &   & &-   &  & &  &  & &   &            , ) & &**   *     *   *     *   *     * , 2 &   &  &              & &  & & & & &- & &**  )  &  *      &  *      &  *     ))*   )  ))*   )  ))*     )   &   &  &    &     &     &            &    & &       & &)*  )  & &     &  &        &   & & &-  & &   &   & *  )  )) ) ) ) )) )) ) )) ) )) )) )))   )                   &   &   &   &   &   )))*    & &   &  &        &  &        &  &  &        &  &        &  &  &    &  &          )        &)))   &  &   &  &  & & & & & & & &  &  &   && &   & & &-  & &   &  )))  &  &  &  &*  &*  &     &   & ) )   ) *  * * & ) *  & * * & &  & &   & & &-  & &   &   &  &     & & & & *   &  &  &  &  & & &  & &   &   & &  & & &   & & &         &   & &  & &  & && & & &  & && 2  & &  & && & & &  & && 2   & &    & &  , &  &  & & &   & & & & 2   & & & & & & & 2         2 &  & &  &   &   &  &  &  , &  , &  &   &   & & &   2 &   &   &   &  &   &  &        & -   &    &  &          )   &  &   )   )   )  )  &&  &   &   &  &  &  &  &  &  &  & & & &   &   &   &          & &&-   &  &  &         &  &  &            &  &   &  &  &  &   &    &  &   &  &  &    &  &      & &&-   & &  &   ,    ,   &  & &  &  &  & &     &  &  & &    & & & &   2 & &      &    & &  &  & &  & &  &               &   &   &   &  &   &    &   &  &  &  &  &  &  &  &  &     &  &  &            &  &  &  &  &  &  &  &  &  &  &  & & & & &  &    &    &    &   &  &  & &    & & & & & &))))))))))   &    &*  &*  &   &*   &*  &    **    **  &  &&    &  &  &)*  ))         &  & 2      &  & 2     &  , .   &    &       &   &  & & 2 &)*   &)*   &)*  ))   * * * *  * * )  * *  * * )  * * * * * * , .  & & 2   )) ) )  *) ))  * * )) ) * ) )   & &    & & & *   &  &  &  &  &  &        & & &&&-    &  &          &     &          & & & & &))))   *  *     **-   & ) )  &* **   &    &   &    & ) )  &* **     &   &    & ) ) &* **     &   & &  &   & ) ) &* **     &   & &  &    &  &  &  &  &  &  &    &               & & & & & &))))   *  *     **-   & ) )  &* **    &    & ) )  &* **    &    & ) ) &* **    & &  &   & ) ) &* **    & &  &    &  &  &  &  &  &  &    &               & & & & & & & & & & & &  &  &  &       &      &  &  &  &   &  &     &   & &  &     &   &  &   &  &   &   &   &   & &   ,     &  &   &   ,  &,  &   &   ,. &  &       &   &  & & &  &  & , &  &  & ,  2 &  &  &  &   &  &  &  &  &         &  &     &  &   &  &        &      &   &   &   ,  ,  &   & , . &  ,       21 & &    &     &     &        &     &     &    &  &    &  &   &  &  &  &  &  &  &  &  &  &   &  &    &  &       &         &  &  &   &  &  &             &     &  &  &     &     & & * & & & & &  &  &  &  &  & &  &  & &  &  & &  &    * &-   &  &   &  &          & & & &   &  &  &  &  &  &  &  &  &  &  &   & &   &,  &, 2  &  &  &   &  &     & &  &    &  &  & &  &  &    &  &  &  &  & &  &  & & & & & &  & & 2         &           ))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))  & &     )*   & &)*        & & 2 &  *  *  *    &    &    &    & ***    &    &    &    & ***   & & 2 &    &  & &  &  & &   & & &  &  &  & **  , & ** & ,  &   &   &   &   &  * &                  *   &** ******* &&&-    &&  &  &  &   & , &      &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &     & &  *   & &  *   & &  *   & &  *         *** *   &   &   &   &        *** * &&&&-      &     &     &          * &                         ************** ******* &&&&& -  &*  , * * & &   **   &  &  & &&* &  & &*  & *   *  *  *    &   & & &         & *   & *   *  *  * *  )  & & ,  &     & & & &*  ) ) ) )      ) ) ) ) ) )              &  ''   &  &   &  & &      *  *  *  &   &   &  ***        & &  ''    & &   & &  &   &   & ***   *   *   *   *   *   *           *  *  *    *           &   & & &   ''   *  *  *  *  *  *    &   ''   *  *  *      *   *   *           *  *  *    *   )         *** )*   ,        2 &   )         *** )*   ,        & & &   & &      & & 2   & & ,  &&  , &  & & &  && ,  &2  2    &  & &     &     & & & &  & & & &  &     &    &  & & & , * & &**      * ) **        & & 2  2  &    &  & &    *    *     *  *  *  *   *  *  *  *     & *  ) &*  & & & )*   & & &   & &      & & 2   & & ,  &  , &  & & &  && ,  &2  2    &                           )                 & & &   & &      & & 2   & & ,  &  , &  & & &  && ,  &2  2    &                           )                 & & &   & &      & & 2   & & ,  &  , &  & & &  && ,  &2  2    &                                   )         & & &   & &      & & 2   & & ,  &  , &  & & &  && ,  &2  2    &                                   )         * 2 & &     &   &                  ,.2  & & 2   2  & &  & 22  & ,.1 &  &  &  &  & 21 & & & &   & &   & &     & &  &  &        &   & & &-  & &   &    &   & &   & & & &           & & &        &       & & & &   & & &    **  ,   & ***  ,  *  &&   2 &    & &  & & &   &  &  & &  & & &  & &       &     &   & &   & &   &  &     & & & , .    & &        &             )  &   &   &   )))*   )))*   &   )  ) ) )  ) ) )  ) ) ) )  ) ) )  )  ) ) )  )  ) )  ) ) )  ) ) )  )  ) ) ) ) ) )  )  ) ) )  )  ) )  )  ) )  )  ) )  )  ) )  ) ) ) ) )  ) ) ) )  ) )  )  ) )  )  ) )  )  ) )  ) ) ) ) )  ) ) ) )  ) ) )  ) )  )  ) ) )  ) )  )  ) ) ) ) ) ) ) ) ) ) )  ) ) )  ) ) )  ) )  )  ) ) )  ) ) ) ) ) ) ) ) ) ) )  ) ) ) ) )  )  ) ) )  ) ) ) )  ) ) ) ) ) ) ) ) )  ) ) ) )  ) ) )  )  ) ) )  ) )     &&     && &   )))*   &         &   )))*    & &    ** & & & &   &  &     & &   &  &  & & & &  &   &   &                                                                        ,   &                                                ,                        ,   &                                                ,   &                                                                        ,                                                                                                ,2                             & ,  &  '' ,.  &   & ,  '' ,.                                                                          &  '' 21                                                   &    &  & &  ,  &  , .    & &   ,.  21  &  ''       &                                                  ''    &   &  ,0                          '' ,. 21                          &  ''   ,.  &   &  &    &     &   &  &    &     & &               & &                & &                )))))         *  &&*   &&*   &&*  * ) ) **  )) * ) ) **  ))  * ) ) **  )) & &*  & &&*         ))))  &)*  &)*  ** * *  **  **       *)*  ) ) *)*  ) ) *)*  ) ) **        ))))  &)*  &)*  ** * *  **  **       *)*  ) ) *)*  ) ) *)*  ) ) **         &   &  &  &  &  & &  &    &  &  & & & 2  & & & &   &  & &  && &  &  &  &  &  &    &  &  & & & 2  & & &  &&  & & & & &   &  &  &        &       &  &  &  & & & 2  & &          &   &       &       &  &  & & & 2     & &   & & &  &  &  & &  &    &  &  & & & 2   & &   & & & &  &  &  &&   &     &       &  & &  &  & & &  &&     &  & & & 2   & & & &   &   &   &      &   &  & &  &  & & &  &&     & & & 2  & &   &   &   &                                &  & & &  &&   &  & &   &    &   & & & 2 &   )   &   & &' &**      &   )       & & &   & &   & & &   &       &  && & & &  & &  & & && &  & &  & &  &   &  & & &  & & & & &   &  &     & & & &    &  &      &  &      &  &   & &   & &  & &  & & & &        &    &           &    &   & &    &   &  &  &            & & &                 &                              &  &  &  &  &  &  &  & & &       &                &                              &  &  &  &  &  &  &  & & &       &         & &'' 2  &))))  &   &   & & &-  &  &   &  *  &*  & )    &) *   & &    *  )     & &  & &  &,.          & &  & &   & & &       &  & &  &,. & &  &,.         & '' 2  & &))))))  &          & &  & &   & & &    & &  &   & &   & &       &  &  & &  &*  &* &*  &*   & &    &   &  &   &    *  * ,  * ,  & &  &   & &      & & 2    & &   & , &   & &  & & &&-    &     &        &   &2  & & & ,.1 21      &     & &  &&  &  & & &&  & & & &     &  &   &&  & && &&  &   & & & && & &&  & 2 & &&  & &   &   &  &   & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &         &  &                &  & &       & & &      & &  &   &    &    &    & & & 2 &    &  & &  & & & & 2 &  &      &  & &  &   &    &    &    & & & 2 &    &  & &  & & & & 2 &  &   & &   &   &  & &   & & & & 2 & & &   &     & & & 2   &    &    & 2          & &'' 2    & & ,  &     & & 2  .1  &        &      &           &     &     &     &     &    &             &   &  &  &      &   &   &   &   &   &  &    &     &   &  &  &  &   & &            &           &   &        & & &    &     & && &   &  &  &  &  & &     & &   &    &   &   &     & & &  & &  & &    & & & & & &&  & &    &   & &    &    &            & &  &  &  & & & ,  & &  & &    & & & & & &&  & &    &   & &    & 2  &     &     &    &   &  &  & &  &  &  & & 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             &    &  &       & & &     &      ,!  & &  &   & &              &    &  &       & & &     &     ,!! ,!  &  & &      ,  &  &  ,  & &  &   & &              &    &  &       & & &  ,!  & ,  & ,  & &              &    &  &       & & & ,  ,!"21 &     &  &              &   &    &       &  & &   ,  ,  &  & ,,    &   &  ,  &    &&  & &       &    &    &  &  '' ,  &.  &  &            ,2  &          &           &  &      &   & & & &   & &  &   & &              &    &  &       & & &      , &                 &  &  & &  & &  &   & &  &    &    &   & &  & & & 2  &           &      &  ,  & ,  & ,  & &              &    &  &       & & & ,  ,21    & & , .    &,   &,     ,  & &  ,. &   & &     &  & &  & & &  &  &  &    &  &  & & & 2  & &  &&     & &     & & & * & & &)))))))))))))))))   &  &  &  &  &  &  &   * )  )*  )*  )  *  &)))              ) )  ))  &  * ) )  ))  &  * ) )  ))          & &     )  )  )   * & ) & * -   ) * -   ) * -   *  *  * )    &  &* ) ))    *   * )  ))  )  , )    ) )    & & 2 &  ) )   *   *      &  *      &  *      )   , ) )   *2  &  &  &   &   &   &   &   &   &  )               &      & &  & &  & &   & ) &-   ) & &  &   & &-  &   & ))    & &-   &  &   &    & & ,  & & &  ,. &   21 &    &  &     &  & & &   &-   * )  ,     &       2  & &  & , . ))   &  &  &   &  &  &     & &-   &  &   &    & & ,  & & &  ,. &   21 &    &  &     &  & & &   &  ,  * )  ,     &      2  & &  & , .  &  &   &     &  &     &  & & &   &  ,  * )  ,     &      2  & &  & , .    &  &   & &   &  &    & & ,  & & &  ,. &    & 21 &    &   &  & & &  ,  &  ,  * )  ,     &      2  & &  & , . ))21 )   ,  & &   &   ,      .   )   &     ,  & &   ,  & & & &   , &  & &    & &   ,      ,     ,   & & 2 &          &   & & &    & &   & &  & &    & & &  & &  &   & &  &            & &   ))    ))  *  *  *  *  *   ))    ))    &   *   &   *   &   *   &    *   )    ,     ) )  ,  ,   ,   2  & & &  ,  .   & &       )*    *    * **      **     ,     ,    *   *   *  ,   & & , . )  )  &  ) ) )       ))) *     &   &          ) )  )  ,  21  & *   *  & *   *  & *        )    *    *    *               ,      &''  ,   ,  &   & 2    &     .1 &    * &  &  ) ) )       ))) *     * &    * &    * &     * &     *)* & & * & &)))))))))))))))))   &  &  &  &   &)))               * ) )  ))  &  * ) )  ))  &  * ) )  ))          & &     )  )  )            * & ) & * -   ) * -   ) * -   *  *  * )    &  &* ) ))    *   * )  ))  )  , )    ) )    & & 2 &  ) )   *   *      &  *      &  *      )   , ) )   *2  &  &       &          &      & &  & &  & &   & ) &-  * )   ,  & &  & ,      .       & & &  & &  &  & &  & &   ,   & & &    & &   & &  & &    & & &  & &  &   & &  &            & &   ))  ))  *  *  *  *  * ))  ))    &   *   &   *   &   *   &    *   )    ,    &  &   ) ) ,  ,  ,   2  & &  & ,  .   & &     )*    *    * **      **     ,     & &  ,    *   *   * ,   & & , . )   ,21  & *   *  & *   *  & *      )    *    *    *                ,      &''  ,   ,    &   & 2     & .1 &    * &   &  &   &   * &   &  &   &    * )  ) )   * &   *)*  &     & &   &     &   &  &       &&  & & & * & &)))))))))))))))))   &  &  &  &   &)))               * ) )  ))  &  * ) )  ))  &  * ) )  ))          & &     )  )  )            * & ) & * -   ) * -   ) * -   *  *  * )    &  &* ) ))    *   * )  ))  )  , )    ) )    & & 2 &  ) )   *   *      &  *      &  *      )   , ) )   *2  &  &       &  &          &      & &  & &  & &   & ) &-  * )   ,  & &  & ,      .       & & &  & &  &  & &  & &   , & & &   & &  & &  & &   & &  &  & &   &  & &  &            & &   ))  ))  *  *  *  *  * ))  ))   &   *  &   *  &   *  &    *   )    ,   &  &   ) ) ,  ,  ,   2  & &  & ,  .  & &     )*    *    * **      **     ,     & &  ,    *   *   * ,   & & , . )   ,21  & *   *  & *   *  & *      )    *    *    *                ,      &''  ,   ,    &   & 2     &  .1 &    * &   &  &   &   * &   &  &   &    * )  ) )   * &   *)* & & * & & & &))   &  &  &  &      *  &   ) & &  ))   & &     &  & &  &-   )* -     &         & & & 2 )) ) )          * &  * & & & * & &)))              * )    *      &   *      &   *         *      *      *   * & & &)))))   &                 **   &  &    **   &  &    **  ** )                       * )    *      &   *      &   *         *     *     *    & & & & *)   &   )*  )   * ) ) )  )  )  )  * )   * )   *0           * & & & & * * * * *)))))))))))))   *  *   *  *   *  ) )    &    **     **  )  ** **  *   *        **  *  )    &         )   *  &   *  &* &* ) )  )*    ) , ) )  ** **  )   )    & ) , ) )  ** **  )   )    &2 )  )*  )*      )* ,  &   )*  , ) ) )    &   )* ,  &   )*  , ) ) )   &2    & & & & & * * * * *)))))))))     **   *  *   *  ) )    &  *  * )  ** **    **     **  * **  )* )  ) )    ***    ***  * *  * *  * * ****  )    &   *   * ) )  )*  & )  ,       ) ) )    & ) **     )    &2 )  )*  )*      )* ,  &   )*  , ) ) )    &   )* ,  &   )*  , ) ) )   &2    & & & & * * * * &)))))     **     **     **   &   &  &  *  &  * )   *    *  * *  * *  * *  ) ) )    & ) ) )    )   ,  * )  )*  )*  ) ,  & , )    &  ,  * )  )*  )*  ) ,  & , )   &2    )   ,  *  ) )  )**  ) ,  & , )    &  ,  *  ) )  )**  ) ,  & , )   &  2 )     )  )**  )*   )* ,  &      ** )*  , )    &    )  )**  )*   )* ,  &      ** )*  , )   &2    &  &  &   &  &     &   & & 2      &  &   &  &     &   & & 2     & &))))))         & &   & &  & &  & &   & & &    & &  &         &     & &   & &   & &     &    & &*  &* &*  &*   & &  &  &     ** -   * -   & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &          & & &  ,. &  &   & &))   *  &  *  & &    &  & & &  & &    &    *  &     & & &  & &         & & &   & & &   & & &    & &   & &  & &    &    & & ,  & & & ,. & ,21   & & &  &   & &      & & 2    & &   &  ,   & &  & & &&-    &     &        21 & &  &,. & &  ,  * & &  &.1 &  &   & *))))))   *  & &    &  & & &  & &    &  &  &   *  &     & & &  & &  &  & &   &  *  *  *    &  *   *   *  **  &   *   , & & 2 & &  &,. & &   , & &  &.1 &   & & &)))))))))   &  &  &  &  &  &  &  &  &  &  &  &   &    &  &   &  *  &  *  & &    &  & & &  & &    &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &    *  &     & & &  & &  &  &  &    &   & & &          **** &-      ** &-   & &  &   )  )  )  *  *  *  *  *&,,  )  )  )  *  *  *  *  *&,, &   &   &  *  &  *  *  * &,,  &      ))*  **    ** )            )     ))*  **    ** )            )  & ,    **         ** )* *       **         )  )  )***                 *     *     *              ) ) )*** , ,     ))*  **    ** )            )     )  & ,  *  *    **     **      )* *   * )  )  )**                * ) )   * )  , )  ) ) ), ) ) )))  2 &    )*  ) ) ), ) **   ) 2       ) ) ) , ,2  & &  & 2 & &  &,. & &   ,  * & &  &.1 &   &      & & & &))))))  &  & & & & & &  *  &  *  *  &  *    *    *       * ***     * ***      & & &)))))))))   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &    &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &    &  &     &      & & &-  &   &  *  & )  )*  )*   &     &   *  &              *     **     **   * )   )  )     * )  )      &  *  & &   *  *  *  &      ))*  **    ** )            )                      ))  **    ** )                 ) *       ) *       ) *      & ,   *    *      *         )  )  )***                 *     *     *              ) ) )***   , ,     ))*  **    ** )            )                      ))  **    ** )                 ) *       ) *       ) *      & ,   *    *      *         )  )  )***                 *     *     *              ) ) )***   , , &  & &,  , &,  ,      & & & & &  *  *    *    * * ***  * ***      *      *       **   &,  ,2  & &  &   ,.1 &   & & & * &))   &  &  &  &  &    ) ) )  *   *    *   *   *            *  )  &        &     &  &  &  &  &   &  ''      &  & &  & & &   & &- &  ,  &  &    ,      & &  & & &   & &- &  ,  &  &  ,.                     &       &      &,21  &   &  &  &   &  &   &  ,  &  &  ,      &                   &       &      &  & 21 &  &        &    & &  & & & & & &)))))))))))))   *  *  *  )   & ) ) ) ) **  )    &  *  &  *  &  *  &  *   &  *   &  *                      ** )    *  &  *  &  * **                **     **        **         & & &))))))))))))))))   &  *  & )   *  *  *  )  )  ) ) ) )  *  &  *  &  *  &  *  &   &   &   *  *  &  *  &  *  &  * )      )        ** )  ) ) * *            &        *** * *)**       ) )  )        ** )  ) ) * *            *  *  *           ** )    *  *  * **                **     **        **         & & & * &))))))   &   &  &  &  &  &  &  &  &              * ) )   *   *   *  * ) ** )  )    )  )  &  &    )  *   &   )  *   &   ) )  *   )  )  ) )&               )  )  )  )&   &    &,       &  & 2 &   &  &         )                    *     *     *  )&   )  )  )  )&       **       **       **   )  )  )  )& , ),0               &2 &               )*      )*         *      *       **   )  )  )  )& )) 0              *  &  *     &     &  )  ) ** )   *  )    )     * ***                 *     *  )     *  )&     *   &    **     **     **      &                  &    0              *  *  * **  &    *   )  )  ) )&                &  &    **     **     **      &                 &     & & & * * * &)))   &  &  &  &  &  &   *  &  *     &     &  * *     )    & **                         ) **     *   &    *   &    ) *   &  )   )  )  )  )&                          )  )  )  ) ) *** &-               &  *    *   &   *  )  **              &  &   &   *   *    *   ,0                ) *   )  )&   **   **   **                    **       **   &  * )  )&,  *    * 2  )       &               ) 2 &                 &                   &0              )   & & & &)))   &   & &    &  &  &    &0              &    ) *   &  )   )  )  )  )&              )    &  *  *  * **)) &  & & & & & &)   &   &  &  &  &              &    ) *   )  )  )   &  &  ) ))   &   )* &-                ,  &     )  )  )  )&  ) *   ,0           )*   ,  ,    )*   &                *   &    *   &    *  )  )  )  ) ) &-&   ,0           * ) )               2 &                 &   & ,0              * )    )  2 &    **               ,               &2                  & & &))))   &  &  &  &  &  &  &  &  &  &   &  &                  **   &  &      **   &  &      **   & )&  &   )  )  ) )& -  ,  &              )******   ,0                         &   &              ,    )  )  )  )&  ,0              )  )  )          ) &   &      **       **       **   ,  , 2 &            &  *  * ) ) ) )   ,  *  * ) )      ) )& -          )******            2                ) *   &  )   &  &     )  )  )  )&   &   )*  ,,              ) ,2              ) ,21 &               )     &              &           ) &   & 21  )  )  &  )     &  &     ) )* -   &           &  &      )*    &              * ) )  )       &            ,  &  &             *)**** ***- ) )  & ,  2    & & * * *))))))))))   &  &  &   &  &  )  )  ) )& -    &  &  *  &      ** )*     *       & &'   &   )*  )  ) )   &     *   &     *      &     )*   &  *  *  *  &  &  &  & )  )                    *       *       *              )& , &,            *  *  *    ***  *)*               *  *    *        & ,  *  *  *  &. & &                *      *      *   &      **   *  &   &   &   & & & & *))))   &  &     **               &   *   &      ** *      *                     &  *   &      ** *      *           *   *  ,   *  ,  & &  ,. &   * )  )    **  ))))  ))  * )  )    **     * )  )    **    ) )      *   &    *   &    *   &   & & * *)   &   & **  &    & &*    *    *    *   &  &  &  &                 *     *     *   )  )  )  & )& , & &   ,. &   &0               & & * *)))   &   &  & & &  ) ) )   &    & & & 2 ) ) ) ) ) ) )         ) ) )   &         ) ) )   ) ) )  0          * )  & & * -  ) * -  ) * -  &*  *    & )        & * ) )     &  )   )   )   &** &*    &           **  &    & &*   *   *   *   &  &            *   *   *   )  )  )  &  )& , & &   ,. &   &0                     & &)   &   & &   * ) ) ) & )))))))))   &  &  &  *  *  *  *  *  *  *  *  *     &       &             &             &             &             &             &             &             &             &             && &  &  *  *  *  *  *  *  *  *  *     &       &             &             &             &             &             &             &             &             &             &&  * * & & &))))    ) ) ) &* )  **     **   &    )  )  **         & ***   )      &* )  **     **      & & &)))  &  **  **)*      *  *  * ** *)*     & & & & &))))))    &  &    &  *   ) )    &  &     &   &    )*   &    )*   &    )*   &  &    &  *   ) )    &    )*   &    )*    &    &    &  &  &    &  ) ) ),  *  & )  *  &  ) )  * )  **  **  )  )  **    ***  )    * )  **  **   &     **  *     **    ) ) )2  *     &   & &    , &)*     , &  & )  &))    &))         )     2 &   ) &  & ) ))  )) * &)* **  &     *   &     *   &     *   & & &))))))  &* )   &  &   * ) )   *  * ) )  )  )  )  ** )     ) ) ) ) ) )  ) &   &  &   &   &    *   &    *   &    *   &   ) * )  ) )  ))  ),  ) )2 ) * ) **  &     *   &    *   &    *   & & & &))))   &  &  &   &  *  &  &  &    )  ** )*     *       &   &'   &  &)*         &               &)*   &      &                 )*   &    )*   &    )*     &  &  &    **   &  &    **     **                ) &*   &  &          &    &   &  &   &  & & & 2 &  &     &  &      )  )  )    *     *     *   &  &   &  & &   *      ** )*     *       &  &    &'  &             &   )*  &      & &  & &  & & & &   &      & & &   &  &   &  &   &  &     &   & & 2     & & &))))  & &     &             & & & & &   & & & & &**    *    *       **   &    *   &    *     &              &   &&  & & & & 2   &&   &              &&  &                **      &    **      &    **                 & & & & &   & & & & &**     *   &    *   &    *   & * *))  &  & &              & & & & &    & & & & & &**    *    *       **   &    *   &    *    &0              &    &)*  &   & & & & 2   &             &)*  &                 **      &    **      &    **                 & & & & &    & & & & & &**     *   &    *   &    *    & &)   &   &  &  &  &  &                   &  &    ) *   )  )  )  )& )*   &           ,!  &    ) *   )  )  )  )&   &          ,!!!  &    ) *   )  )  )   ) ))   &   &          ,!!" &  &     )* &-   )  )  )0              & & & *)))))))))   &  &  &  &  &  &  &  &  &  &  &  &   &   &   )  )  )  *  *  *  *   * &  &  )  )  )  *  *  *  *   * &  &      ))*  **    ** )            )     ))*  **    ** )               &    &    **          ** )* *       **         )  )**  )*                 *   &    *   &    *     )*    &  )*    &  )*   &     ))*  **    ** )            )        &    &  *  *    **     **      )* *   * )  )*  )*               * )   )* - ) )))  )  )*  ) ** ) ) )    & ) )   & & &))))   &  &  &   &  &  * )    & &*    &  &  * )    &  &  * )    &0                              **   &  &      **   &  &      **  )  )* &                & & &      &&    *  &  * )  & )   )  & &) *   & &   &    * )  )   )  &) *   & &  &  &  & &    &   & & &        ****   )       **** -     **-  & &   &   & & & ,  & & & ,. & ,21 & &   & &      & & 2   & &  ,  && ,  & & &  &&  ,  & 2   2 &  &    &    &    &   &21  & & & 2 & &  &,. & & ,  * & &  &.1 21 & &      &&  & &      &&    & &      &&   &   &  &  &  &   &  & &  &  )  )  ) )&  & & &   & &      & & 2   & &   &  , &  & & &  && ,  &2   &       0              &                  **   &      **   &      **  )&  & & &   & &      & & 2   & &   &  , &  & & &  && ,  &2   &       0             & &   & &  &  & &  & )&   & &  & & & &   & &      & & 2   & & ,  &  , &  & & &  && ,  &2  2 &   &       &        &    **   )  )  ) )&,  & & & &   & &      & & 2   & & ,  &  , &  & & &  && ,  &2  2 &   &       &      2  & & & & 2  & & & ,.1 &  &  &  & 21 & &    &   & & &  &   & &   &    & & ,  & & &  ,. &  21 &   & &   & &      & & 2   & & ,  & ,  & & &  && ,  &2  2 &      &   &   & & 2  & & &  ,.1  21 & &   )*      &   & &  &    & & ,  & & & ,. &   ,21  & &  &   & &   &    & & ,  & & &  ,. &  21 &   & &   & &      & & 2   & & ,  &  ,  & & &  && ,  &2  2 &      &   &   & & 2  & & &  , & .1 &  & , &    &      **   &      **   &      **   &      **   &      **   &      **   )  )**   &  & & & 2 &  &   &     &   & &  &    & & ,  & & &  ,. &  21 &    &      **   &      **   &      **   &      **   &      **   &      **   )  )**   & &  &, & &   & &   &    & & ,  & & &  ,. &  21 &   & &   & &      & & 2   & & ,  & ,  & & &  && ,  &2  2 &      &   &   & & 22  & & & , & .1 21      **       **       **       **       **       **   )  )**    &    & &  &  &        &    &  &  &             &  &  &             &  &  &        &    &   & &  & ,  2 &    &   &   & &))   &  &   &  &      **               &  &  &                & ' & & & &&*     *  & ' & & & &&*     *  & ' & & & &&*     *   )  )  ) )& & ,  & &  ,. &               &              )  )  )   &               & ' & & & &&*     *  & ' & & & &&*     *  & ' & & & &&*     *   )  )  ) )& & &  ,  & &  ,.21 &   &              )  )  )   & &               &              )  )  )  *  *    *          &             &                &          & && 2  && &   & &   &   &    &    &    &    &    &     & & & & * & &))   &   ) & &  ))  * &  &  & &  ))  * &   & ))    & &-   &  &   &    & & ,  & & &  ,. &  21 &    &  &     &  & & &  &  *  & )    & & & 2  * & & & & &))))))))))))))))))))))))))))))))))))))))))))))))))))))   &   &  &  &  &  &  &  &  &  &  *  *        *** )*   &  *  *  &        *** )*     ) ) )  )  )  )                &  *  *  * )  *     **  ) )    ***       *   &  *   &  *  )     &            &    ) ) )     **                           &            &            &  *  *  * )  *     **  ) )    ***     *   &  *   &  *  )     &            &          )                                                                &  &  &  &                &  *  *  * )  *     **  ) )    ***     *   *   *  )     ,    )                               )                    ,0                           & &   ,  . &     &            & &   &  &  &  & &  &  &    &  &  &  &  &  &               ) ) )   , **    )                                 )     )      )       ***       ***         ***         )                         &  *  *  * )  *     **  ) )    ***      *   *   *  )     , & )     ,    ) )                             ,                     , )                              ,                            ,2  &               . &   &    &            & &   & & & & & &)))))))))))))))))))))))))))))))))))))))   &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  *  *        *** )*   &  *  *        *** )*     ) ) )  )  )  )      &     &                   *   &    *   &    *     &  &    **   &    **   &    **       )***     &0               &             ) ) )     **                                       &0               &0                *   &    *   &    *     &  &    **   &    **   &    **  )     &0               &                   )                                                                                                    &  &  &  &  &  &                  *     *     *       **     **     **  )  ,    )                              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*     &  &    **   &    **   &    **       )***     &0               &             ) ) )     **                                       &0               &0                *   &    *   &    *     &  &    **   &    **   &    **  )     &0               &                   )                                                                                                    &  &  &  &  &  &                  *     *     *       **     **     **  )  ,    )                                            )           ,0                                               & &   ,. &     &0               & &   &  &  &  &  &  & &  &  &    &  &  &  &                        ) ) )   , **             )                                    )     )      )       ***       ***         ***         )       ***       ***         ***          0                *     *     *       **     **     **  )  , & )  ,    ) )                                  ,                           , )                               ,                                 ,2  &      . &   &    &0               & &   & & & & &)))))))))))))))   *  *  *  *  *  *  *     * )   * )  )  *   *  *  *    )  )  )  )))  ) ) ) ) ) ) ) )    ) ** )    ) ) )      )    )    )   & & & & &)))))))))))))))))))))))))))))))))))))))   &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  *  *        *** )*   *  *  *    ) ) )  )  )  )      &     &                   *   &    *   &    *     &  &    **   &    **   &    **       )***     &0               &             ) ) )     **                                       &0               &0                *   &    *   &    *     &  &    **   &    **   &    **  )     &0               &                   )                                                                                                    &  &  &  &  &  &                  *     *     *       **     **     **  )  ,    )                                            )           ,0                                               & &   ,. &     &0               & &   &  & 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 &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &   &   &  &   &   &   &   &  )  & &  &  &*  &*    &  &*       &* &*  &  &  &   ) &  & & &&*    & ** **  &  *     &  &    & ** * *    &  &  *  &  &   &**    &  &    &**    & ) ) )  &  &  &  &   &  &  &  &  &  &  &  &  & )            &    & &  &*  )  )  )       &*  *  *  *  *  *  *  * )    * )   )  *   *    *  )   ,   *  *  * ) ) )     * *  ,  & , )      ** ))) *  ) )  ),  * 2  ,2           21  & & , .1 &   & ) ) )***    &    &  &  &  & & & &    & &   & &  & &    & & &  & &     &   & &  &          *   * **   & &  *  &  *    &  &   & *   * **   & *    &  &  *  &   & *   & *    *    &  &    *    & ) ) )  &  &  &  &  &  &  &  &  &   & & )         &*      **   )  )  )         *  *  *  *  *  *  * )    * )   )  *   *    *  )   ,   *  *  * ) ) )     * *  ,  &  )      ** ))) *  ) )  ),  * 2  ,0           2  & &  , .1 &   &   & &    *  *  *  *   *   *  *  *  )))    ) ) )          &   *   &   *   &   * )  )  )  *   *    &   *  )   ,      * *   ,  &  )      ** *  ) )  ),  * 2   , )  ) ) * *     ) )** -  )   )  )     , )  )  * *     ) )** -  )   )  )     , * *   *  * )       ) , )   )  )     ,2  21  & & &  , . &   & &    &   &            & ) ) )***    &    & &   &  &  &   &   &   &   &* & &&*   * **  &  *     &  &*   * * *    &  *  &  & &*   *    &  &    &**    &     ))*  **    ** )            )             &    & ) ) )  &  &  &  &   &  &  &  &  &  &  &  &  &  &  & )    &        & &  &  )  )  )      &                                       *** ***** * * ** &-   *  *  * ) ) )     * * ,  &  ) ) )  *  )      ** ))) *  ,0          2  & & 2 ) ) )***    &    &  &  &  & & & &    & &   & &  & &    & & &  & &     &   & &  &            ** **   & &  &  *   *    &  &   & &    ** **   & &  *    &  &  *  &   & &  *   & &  *   *    &  &   *    &     ))*  **    ** )            )    &    & ) ) )   & &  &  &  &  &  &  &  &  &  &  &  & )      &    &      **  )  )  )                                            *** ***** * * * -   *  *  * ) ) )     * * ,  &  ) ) )  *  )      ** ))) *  ,0          2  & & 2   & &  &  &  &  &  &   & &  &  &  &  &  &  &  &  &  &  &  &  &      &   &                *     *     *    *  *   &   &  *  *   &   &  *  *   &   &  *    *  *  * ) ) )     * *    ,  &  ) ) )  *  )      ** ))) *     , ) ) )   *   *** -   *  *      ** )*                 )     *    *    *     ,  * )   * )   ) *-  ,  * **  *   *  *      ** )*     *   *              )  ,    *    *    *     ,   2 &    * )     ) )** -   *   *** -   *  *      ** )*      *              ) ,    *    *    *     ,2  21  & &  & 2 &    &   &            & ) ) )***    &    &  &  &  &   &   &   &   &   &   &* & &&*   * **  &  *     &  &  &*   * * *    &  &  *  &  & &*   *    &  &    &**    &                &    & ) ) )  &  &  &  &   &  &  &  &  &  & )          &    & &  &*  )  )  )       &*  *  *  *  *  * )   *    *  **      *   * *    *  *  * ) ) )     * *  ,  &  )      ** ))) *  ) )  ), 2  ,0           2  & & , . ) ) )***    &    &  &  &  & & & &    & &   & &  & &    & & &  & &     &   & &  &            ** **   & &  &  *   *    &  &     & ** **   & *    &  &  *  &   & *   & *   *    &  &   *    &       &    & ) ) )  &  &  &  &  &  &   & & )        &*      **   )  )  )         *  *  *  *  * )   *    *  **      *   * *    *  *  * ) ) )     * *  ,  &  )      ** ))) *  ) )  ), 2  ,0           2  & & , .   & &  &         &   &  *   &   *   &   *  *  * )   *    *  **    *    *     &    *    *  *  * ) ) )     * *    ,  &  )      ** ))) *  ) )  ), 2    , &  &    2  & &  & 2 &    &   &            & ) ) )***    &    &  &   &   &   &  & &&*    & ** **  &  *     &  &    & ** * *    &  &  *  &  &   &**    &  &    &**    & ) ) )  &  &  &  &   &  &  &  &  &  & )           &    & &  &*  )  )  )       &*  *  *  *  *  * )   *    *  **      *   * *  )   ,   *  *  * ) ) )     * *  ,  &  )      ** ))) *  ) )  ), 2  ,0           2  & & , .1 &   & ) ) )***    &    &  &  &  & & & &    & &   & &  & &    & & &  & &     &   & &  &            ** **   & &  &  *   *    &  &     & ** **   & *    &  &  *  &   & *   & *   *    &  &   *    & ) ) )  &  &  &  &  &  &   & & )         &*      **   )  )  )         *  *  *  *  * )   *    *  **      *   * *  )   ,   *  *  * ) ) )     * *  ,  &  )      ** ))) *  ) )  ), 2  ,0           2  & &  , .1 &   &   & &  &        &   &  *   &   *   &   *  *  * )   *    *  **    *    *     &    *  )   ,   *  *  * ) ) )     * *   ,  &  )      ** ))) *  ) )  ), 2   , &  &   2  & &  &  , . &   & &    &   &            & ) ) )***    &    & &   &  &    &     &     &     &   &  &    &     &  &    &  &  & 2  & & &))))))))))))  *  *  *  *  *  *  *     &  * )) )  )   * )) )  )  ))  )*  )    **       ) *    ) *      ) *        & & &))))))))))))  *  *  *  *  *  *  *    )  )   * )) )  )  ) )  **   )*    )*  ) )      ) *    ) *      ) *        & & &)))))))))))  *  *  *  *  *  *  *     * )) )  )   * )) )  )   * )) )  )       ) *    ) *      ) *        & &)))))))))))))))))))))))))))   &  &  &  &  &   &  &  &  &  & &&*     * *      * *         *** )   * *  ) ) )    &        &     &      *  *  * )  &*  )  &*  )  &*    *      &   *      &   *     )    &             ) ) )    &   *  *  * )  &*  )  &*  )  &*    *      &   *      &   *     )    &                   )                        &  &       *  *  * )  &*  )  &*  )  &*    *       *       *     )   ,    )                      )           ,                        & &   ,   . &   &  &                       )   , **               *  *  * )  &*  )  &*  )  &*    *       *       *     )   , & )   ,    )  )       ,    )       ,      2  &   . &   & &   & & &)))))))))))))))))))))))))   &  &  &  &  &  &  &  &  &  &  &  &  &   &  &    **     **         *** )  **  ) ) )    &        &     &                    *   &    *   &    *      **      &    **      &    **     )    &             ) ) )    &                 *   &    *   &    *      **      &    **      &    **     )    &                   )                        &  &  &  &  &  &                    *     *     *      **        **        **     )   ,    )                    )           ,                       & &   ,. &   &  &  &  &  &  &                       )   , **                             *     *     *      **        **        **     )   , & )   ,    ) )           )               &   . &   & &   & & & & * * *))))))))))))))))   * )   *  )  )*  ,  * **  *   *  *  *  *  * )     *   *     )   * )    **        &2 )    )*  ,  * **  *   *  *  *  *  * )     *   *     )   * )    **        &2  * )   *   *** -   *  *  *  *  * )      *     )   * )    **        &   & & &)))))))))))))))))))))))))))))))))))))))   &  *  *  *  *  *  *  *  *  & & &&*   )  ) ) )    &     * )   **  ) &*   ) &*   ) &*      )    &    ) ) )    & )   **  ) &*   ) &*   ) &*      )    &          )               &*       )   **  )  )  )  )   ,    )               )            ,              & &   , . &           )   , **    )   **  )  )  )  )   , & )   ,    )  )         ,        )          ,        2  &        . &   & &   & & &)))))))))))))))))))))))))))   &  &  &  &  &  &  &  &   &  *  *  *  *  *  &  *   *  )  *  ) ) )    &     * )   **             *   *   *  )    &    ) ) )    &  &  *  * )   *    *  **    *    *             *   *   *  )    &          )               &  &  &  &      &  *  * )   *    *  **    *    *             *   *   *  )   ,    )                )           ,               & &   ,   . &   &  &  &  &               )   , **     &  *  * )   *    *  **    *    *             *   *   *  )   , & )   ,    ) )            )                &    . &   & &   & & & &)))))  &  *  *  *      ***       ***         ***         ***         ***         ***         ***               ***  & &              &   &  &  &   *** '  *** '  *** ' & &  &''  & &-   &       &  & , & ,  &.  & &    & &&-  &  & &      &  & &&   ,   &    &      & &  & && ,.21      21 & &       &          &      &)))   &   &  &  &  & &    & &            & & & 2  & & &   & &      & & 2   & &   &  &  & &  & & &&-   &      &   &             &     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&)*            & &  & &  &    &')*             &          &         &  & &     &   &)*            & &  & &    & &  &    &  &  &  &  &  &  &  &  &  &  &     &  &         &   &  & ,   & &   ,.     &     &        &  &  & & & & &    & &  & &     & &  & &       &   &21   &  & &  &  &     & & ,  & &  ,.   & , & &      & & ,  & & &  ,.   &   21  & & &   &   &    &&    &  &  &      &   &  & & 2  &   &    &)    &   & & &    &    & &-      &      &   &  &  & & & 2 &   &  &  & & &   & &      &     &   &  & & & 2  &  &  & & &   & &   &   &  &   &                          &   &        &      &   &      &   & & ,  &.  & & &   &   &   &   & &     &   &   &   &    &   &       &  & & & 2    &     &   &   & & & &   & &      & & 2   & &   & , &  & &  & & &&-   &   &   &        &   & & & ,  &. 21  & & &  & & & &   &  &   & &  &   &    &      & & 2   & &   &  &   & &  &   &    &  &  & & & & &&-   &    &  &   & &  &   &    &      &&     &&     &               & & , &.  &&     &&     && &   &           & && 2  &&     && &       && &   &   &   & & & &  &))   &  &      &  &  &  *** '  *** '  *** ' &    &''   & &    &       &  & , &  ,  &. &    & &   &   &     & & &  & &  &    & &  &  & &&  &     &  &      & & & 2            & & 2  *  *    *          &             &               &   &     & &-     &     & &-     &     & &-     &     & &-     &     & &-     &     & &-     &     & &-     &     &                  & & 2   &    &   &  &  &   &   &  & &  & &   & &  ,   & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &       , & &   & &     & & ,  & & & ,.    &    &  &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &        ,21 '       &     &    &  &    & &  &   & &      & & 2    & &   &  , &   & &  & & &&-   &  &     &           21  & &  & 2  & & &  ,.1 &  &  &  &  & & '       & & & &   &  &  & &    & &   & &      & & 2   & &   &  , &  & &  & & &&-   &      &   &        & &  &  & &-  & &     &          ''        ''    ''        ''        ''    ''   & &  &   &       '' ,      & & ,  &   &.   &          ''        ''    ''        ''        ''    ''   '' ,      & & ,  &   &.21       21 &          & & , &. &   &  &  &  &      & &   &  &    &              &  &   &  &  & & 2 &    &   &    &  ,  & &  ,.  &     &  &  &   &    ,    ,    ,  &   &    ,    ,   &  ,   &  & &   &          & &,  &         & &     &,   &        & &     &,   ,   &  &    &  & ,  &          & &   2        &  & & 2  & &  ,.  &  & &  & &  &    & &  & &                &  &   & &     ,  &  & ,  &  & &  & &  & ,      2  & & 2  &    &                 &     &          &     &,  &   & ,  &  &   &  & ,              2   21      & & &   &   &        &        &        &  & &  &&      &       &  &   &    &     & & & &  &    &  &     &  &  &         &    & &       & & & 2  &   &  &  &  '   &     & & & &  &    &  &  & & & & & &  & & & & & & & &         &    &    & & & & & & &  & &  & &  & &   & &   & &  & &  & & ,  &   , &,, &  &,2  &21  & & 2  & & &  & & & & & &   &   &  &  & &   &  &  &  & & &       &  &  &   &       &       &    & & & & & &  & &  & &  & &   & &  &   & &  & &  & & ,  &   , &,,       &  ,     &                              & ,2 &  & ,  & &     & , & & &      & &) &* )*             &  , & & &   & &      & & 2   & &   &&  , &  & &  & & &&-   &      &  &      & &              &  21  & &  ,.1 &  &  &   &   &  && &  & &&   &  &  &   &  & &                     &&  && &&     & & 2 & &&  & & & & & & &   &  &  &  &  &  &  &  &  &  & & & &  &  &    & &  &  &     & &   & & &    &          &  &  &         &    &    &  &  &   & & &,  ,    ,  ,    &  &  & & & & &    & &  & &     & &  & &        ,  &2 &   ,.1 &   & &   &  &    &     &     &     &   &  &      &  &     &     & 2  &   &  &    &     &   &  &    &     &  &    &  &  & 2  &     &     &     &     & & & &   &  &  &  &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  & &    &  & &  &   &    &  &    &  &  & &  &  &  &  & &  &  &  & & & &  &  &  & &  &  & & & & & & &   &  & &    &   &    &          &       &        &        &       & &                             & &                       & &                      &   &   &    &  & &   &  ,   &   &         & 2           &  & &   &  ,   &   &         & 2           &  & &   &  ,   &   &         & 2        &  &       &  &      &              &   & & 2      &,2   &     &  &        &    & &       &    & &       &    & &       & &  &       & &  &       & &  &       &   & &   & &   & & &   & &   & &   &       &       &      & &    &  &   &                & &    &  &   &                & &    &  &   &                 &  &  &  &  &  &  &  &  &  &  &  &  &  &   &   &   &  &   &   &  &     &    &   &   &  &   &          &&-     &   &   &     &   &    &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &                           &  & & &                   & & ,  &  &  &     &    , &  & .  & &  &     & &  &    & & & &                          & &                                      & &  &                       &  & &   & &  ,      )     &          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&    &            & & & &   , & &   ,. &   & & & & &   &  &    &  &        &  & & &   & &  &   & &   &   & &   &   & &   &   & &   &   & &   &   & &   &   & &   &   & & &   & & &   & & &   & & &   & & &   & & &   & & & -     &      & & &    &     & & & &   &  &  &  &   & &  &   & &      & & 2    & &  &  &   & & & & &&-    &        &     & &     &      &  &   & &      & & 2    & &  &  , &   & & & & &&-    &     &     & &     & &   ,. &  &   &  & &     &       & ,      & &  ,. &   &      &  & &   &   & &  &,  &     &   2  & &  &   & &      & & 2    & &  &  &   & & & & &&-    &     &    & &         &   &  &   & &      & & 2    & &  &  , &   & & & & &&-    &     &     & &     & & 2 &     &   &  &   &   &  &&     &            & & 2  &      & &     & &   & &  & &  & & ,  &     , &   ,2  & &   ,.1 &   & & & &   &   & &&  &  &  &  &  &  &  &       &   &        & &   & &      & & 2   & &  &  , &  & & & & &&-   &   &    & &    & &  &   ,. &  &   &,  2  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   &   &  & & &&  &  &  &    &    & & & 2  & &   &  &  &  & &  & & & ,  &  ,.    &21 &   &    & & &   & &      & & 2   & &   &  &  & &  & & &&-   &     & &   &         &  &   &  & &&  &  & & & & & & & &   &  &  &   &  &  &  &  &  &         &''    &  &  &    &   & 2      &  &   &    ,  &  &  &        &   &       &  ,.21  &                   &     &   &  &  & ,              &  &     &  &  &     &  &  &     &   & &    & &    &   & &    & &    &  &   & &    & &    &   & &    & &    &  &   & &    & &    &   & &    & &    &  &     &   &  &  &  & & , & & ,   2  &   &   & &  &2    &   & &  &  &  & &  , & &  ,     & 2    &   & &  & & & &))       &   &           ,       ,      2  &   &   &           ,       ,       2  & & 2  &          &   &  & &   &   &  & &    & & &  &  & &  &       &   & &*   &    )   &  &   &*          &   & &*         & &**     )   &    )     )     )    & & ,  .   & & &  &  & &  &       &   & &*   &    )       &   & &*      &  &   &*         & &**     )   &    )     )     )    & & ,  . & 2  & & & & &   &  &   &  &  &     &       &  &       &  &                      &      &      &      &      &      &      & &     &  &      &  &&    &  &&**** )* ,  &  '' ,. 21                 &  &      &  &&    &  &&**** )* ,  &  '' 2  21  &   &    &  &                    &   &       & & ,  &  &  &.       &    &       & &       &  & &       &  & &       & &       & &       & &                       &  &      &  &&    &  &&**** )* ,  &  '' ,. 21      & & & & & &   &   &  &  &  &  &  &  &  &  &  &  &  & & & &  &  &    & &  &  &  &     & &  &  &        &  & & &   &                    &&-    &   , &   ,  & &   ,. &   & & &   &  & &  &    &    & & & 2   &  &   &  &  &  &  & &  & & & ,  & ,.  &  &21  &  &  &   &           &      & 2       &             &    &    &          &  & & &   &   &   &   &   &   &   &   &   &   &  &        &  &      &          &   &  &  &  & & & & &              & & & &  &              &    &  & &  &  &  &  &    , &  ,.21 &  &  & &  &  &  &  &    , & & 2  21 &   &  & &  &  &  &  &   , & ,. 21 &  & &  &  &  &  &   , & ,. 21 &  & &  &  &  &  &   , & ,. 21 &  & &  &  &  &  &    , &  ,.21 &  & &-   & &  &  &  &  &    , & & 221 &  &   &  & &  &  &  &  &   , &  ,. &   &   &   &   &    &   21 &   &  & &  &  &  &  &   , &  ,.  &   21 &   &  & &  &  &  &  &   , & ,.  &  21     &   &   &   &   &   &   &   &   &  & &  &  &  &  &   , & ,. &    &  21 &  & &  &  &  &  &   , & ,. &   &    &  21 &  & &  &  &  &  &    , &  ,.21 &  & &-   & &  &  &  &  &    , & & 221 &   &     &  & &  &  &  &  &   , & ,.  &  21 &  & &  &  &  &  &   , &  ,. &   &   &   &   &   &   &   &   &   &   &    &   &  & &  &  &  &  &   , & ,. &    &   21 &   &  & &  &  &  &  &   , &  ,. &       & &   &   &   &   &   &    &     21 & &           & &   &  & &   &  ,  &2 &    &  &   , &  ,.21 &   & &   &   &   &, ,   &  & &   &  ,  &2 &    &  &   , &  ,.21 &  &  &   &  &  ,    & '  ,  &  &  ,.  &  &  &  & & ' 2  &' ,21 21 &  & &  &  &  &  &   , & ,. &  & &  &  &  &  &   , & ,.   &   &   &   &   &   &   &   &   &   &     , 21 &  & &  &  &  &  &   , & ,. &  & &   &  ,  &2 &    &  &   , & ,. &  & &   &  ,  &2 &    &  &   , & ,. &  & &   &  ,  &2 &    &  &   , & ,. &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   & &  &   &   &   & ,  21 & & &   &  &  & &   &  ,  &2 &    &  &   , & ,.  21 &  & &   &  ,  &2 &    &  &   , & ,.  21 &  & &   &  ,  &2 &    &  &   , & ,. &   &    & ,  21 &  & &   &  ,  &2 &    &  &   , &  ,. &   &   &   &   &   &   &      & ,  21 &  & , & &   &  ,  &2 &    &  &   , & ,. &   &   &      & ,  21 &  & &   &  ,  &2 &    &  &    , &  ,.21 &  &  & &   &  ,  &2 &    &  &    , & & 2 & ,  21 &    & ,  2 &  & &   &  ,  &2 &    &  &    , &  ,.21 &  & , & &   &  ,  &2 &    &  &    , & & 221 &   & ,  2 &  & &   &  ,  &2 &    &  &   , & ,. &     & ,  21 &  & &   &  ,  &2 &    &  &   , & ,. &    & ,  21 &  & &   &  ,  &2 &    &  &   , & ,. &    & ,  21 &  & &   &  ,  &2 &    &  &   , &  ,.  &      & ,  21 &   &  & &   &  ,  &2 &    &  &   , &  ,.  & ,  21 &  & ,  2 &  & &   &  ,  &2 &    &  &   , & ,. & , & &   &  ,  &2 &    &  &   , & ,. &   &   &   &   &   &   &    & ,  21 &  & &   &  ,  &2 &    &  &   , & ,.  &     & ,  21 &  & &   &  ,  &2 &    &  &   , & ,.  & ,  21 &  & &   &  ,  &2 &    &  &   , &  ,.   & ,  21 &  & , & &   &  ,  &2 &    &  &   , & ,.  & ,  21 &  & &   &  ,  &2 &    &  &   , &  ,.    , &  2 &  & ,  21 &  & , & &   &  ,  &2 &    &  &   , & ,.  & ,  21 &  & &   &  ,  &2 &    &  &   , & ,.  & ,  21     &   & &   &  ,  &2 &    &  &   , &  ,. &   &   &      &        &  & && &  & &-  & &  &  &  &  &    , &  ,. 21   & & & & &   &   &  & & )))) )               &     & &  &   &  & & &   &   &    &  &      , & &     2                  &      &          &   & & &  &       & &                      &     ,!     ,!     ,!     ,!     ,!     ,!     ,!     ,!     !" &       &    &    & & & & & &  & &  &       &      & &      & &       ,! ,! ,! ,! ,!,!"21  & & & 2 &  &        &  & &    &   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* ))* **     *** * *     *** *  &* )       ****  &  *     ****   *     ****   *     ****  ** )           &     &                &     &     &)   &  * )  ** ** &  )* &    &   &  &      &  & & & 2  &     **    & &     &  )*  &  )*  &     &      &    & * & & & &))))))))))))   *  *  * & ) *     *** *     *** *     *** *  )   )  )  )   )      ) ))* **   )   )   )  ) )   * *  )    )  *      ,   2   )  *      ,   2 )    * *  )    )       ,   2   )                * * * *)   &   ) ) ) )    &  &  &  &* ) ) )) * * &  &  &* ) ) )) * * & ) ) )) * * &  & ) ) )) * * &  & & &    & &   & & &  & & &  &  & & &  & &  & & &  & & &    &     & & & & & &   &  &  &  & &   & & & &  ))))))))   &  &  &      &  & & & 2 &  * * * * * * )*  *  *    *  *    *  *    *   *             *  *   *     *     *     *          &         & * &   &  & &   & & &-  & &   &            )        &  ) )  ))  ) ) ))        &    & & &   & &   &   &   &   )))   &  &  &  &                  &  &  &  & & &&**  &**  & )))) & & ) & &   &  & & & &       *  *  *  *  &    * * & *  * * &   * )) **   * * * * * &**       *  *  *  *  &    * &))))))))   &  &  &  &  &  &  &  )   ))        &   *     & & & &  )    & )      &  &  & &   & & &&**  &**   &)*    &)*    &)*   )  &  &  * *  &  &* * * &  *   *   *  )     )     ) )       ) ) &  &  &     &      &)*    &)*    &)*   )  & & &))  *) *    &  *   & *  &  )) ) * )))    & )  &  &)*  & &   & * )  & )  &  ))    &  *  )  ) )  ****  ) )  ****  ) )  ****  ) )  ****  ) )  ) &* ) )  ) &* ) * * * * )* *     &      &  & & & 2      )     &   &     &  & &   &  & & & & &   &  &  &   &    &  & -     &  &    &  & -      & &  &  &     &    &   &   &     &  &   &   &  & &  & & & & &   * *    ** )* -  * &* ))* **   *     )      )  &     )  )  &     &     )  )  )  &     &     )  )  )   ) &   &  & &     &   &    &   & ,  2  &* &) *  ) )  ****  ) )  ****  ) )  ****  ) )  ****  ) )  ) &* ) )  ) &* )  *  *  *  *  )*  *   &  &  &      &  & & & 2         )      &  & &     &    &    &  & -     &  &   &     &  &   &   &  &   &    &  & -     &   &   *  *  *  *  & ))        &    &  & -       *  *  *  *  & ))       & & * * &   &  &  &   & & &  ) ) )   &    & & & 2 ) ) ) ) ) ) )           ) ) )       ) ) )   &&      ) ) )       ) ) )               )   & &   & & &-  & &   &  &               )  )  & ' ))    **   **  &  **  **  **)    ))  &  &  & )  & **))) & **) )) & **)))  &  * *  * *  * *    ) & ) &            &  ) &                      &          &  ))))))   &  &  &  &  &  &         & &  &  & & &  & &  & &  & & & & 2   &  & & &  &          &  &  & & &  & &  & &    &  & & &  & &  & &    &  & & &  & &  & &    & & & 2       &                &    &  &  &  & & &  & &  & &  & &   &* &* &* & * )  & * )  & * )               )) &*      )   & & &  ) ) )   &    & & & 2 ) ) ) ) ) ) )           ) ) )       ) ) )   &&      ) ) )       ) ) )  *  )**  &*  *     ) )  )   )   )   )     * * * * * *) & )* * ) ))   & **))) & **) )) & **)))  &  * *  * *  * * & &   & & &-  & &   &    &)*   &   &)*   &   &)*   &  ) ) )  &  **  **  **  **   &  & &  & &               & & &  ***   & & ,   &  &*  & **))) & **) )) & **)))  &  * *  * *  * * )      &.       &   &  &      &  & & &     &  & & & & & & &        &    &    &  & &   & &  & &  & & ,  &     &   & &   &  &   & &   &  &   & &   &  &   & &   &  &  &   & &   &  &  &   & &   2  & & 2   &  &      )  & &   &  &  & & & & &   & &  &  &  & & & &  &   &  & &  &     &     &  &           & &   & & &-  & &   &  & ) &  & &**  ** ) ) ** ))) *  )) ) )  &**) ))  ) &** ) ) &** &** ))         & & & & &    & & &  &   &  &     & &)))))   &  &  &  & &   & & &-  & &   &   & &**    ))* *** *))*    &&   &'  &  *   *   &  *   & &    & &  ,  &  & & & & &  ,. &   & '   &) *  & * )    ) )   )  & & &  )    ) )    )   )   ) ) 0              )  ) )) *)*   ) ) )    **   **  &  **  **  **)  * * & )  &)*  *)*   *    ) *)*   *          * )) **   * * * * * &**   & **))) & **) )) & **)))  &  * *  * *  * *    ) & ) &           & &  ,   ,2  & &  &    &  & & &  & &  & & &    & &    &  & & & &  * * & *  * * &   * )) **   * * * * * &**  & &  &    & &      & &         &'   &   & & & , & &   & 2   &      & & &     & &   &     & &)   &   &  &  &  &  &       & & &           )  &**  &**)) )   ))) &  &  &   &   &  &  &  &  & &   & & &-  & &   &  *  & *   & *  & & &    &   * * *) &  & & & & &         & & &   &  &  & & &   &    & & &   &    & & &   &   & & &   &  &      & & &   &  &            & & &  & & & &  & & & &  &   & &   &   &   & &  &&  &  &     & && & &      &  &      &  &   &     &  , .   & &   &  &  & & &   & &  &    & &  & & & & &                   & & &  & & & &  & & & & & &  & & & & & & & & & & & & &      & & &    & & &     & & &     & &   & &   & &   & &   & &   & & &   & &                 & &  & &   & & & & & & &                          & &  &  &  , & &  & &   &    &   &  & &  & ,  &    ***  & &   & & & & & & &  & & &     2 &   & &-&   &    ***   ***  & &   & & & & &  &   & & &  & & & & &  &       & & &    &    &  & &  &  &**  & &    &  &    & &**   * * *) & & & &  &  && & &    &  &     & & & &&   &  &     & &           & &   & & &-  & &   &    &      & & &     & &   &     & &)))   &  &  & &  0             &    **      &    **      &    **     *)*   *      * &  *     )  )  ) )*     )*    &  )  & && &  & & & & &  ***     )    )  & &))))))  & & &* &)* )  & &&* & &&* ) )       &  )*    ))) &)* *  * *)  &**))) ) *)  ))* *)*   * *)  ))) ) )) )))   & &**  ) ) *) * )  )     &  & & 2  &  &  &   & & & &     & & & &  & & &&  &    & &))  & &   & &   & & &-  & &   &   &  &     & & &)*  & & & & & & & &**  * * * *  )) )) )) &* *) )) &* ) * )) * *   &    & & &   & &   &   & &   & '    & &    &    & &      &    & &  &     &   & '        & &  & &     &   &  & & & & &   & &  &&         & & & & & &   & &  &&         & & & & & &   & &  &&         & & & & & &   &  &  &    &   & &  &&         &  &  &  &    &  & &)))))   &  &  &  &  &  &   )  )  )  )  ) &  &   &       )  )  )  )  ) & &   &   )  )  )      &  & '     & &  &    & &)*       **  **  ** &  **   ) &  **  )   &  **      &  )) * * ))  * * ))  * * )) * *  )  &   &   &   &   &   &   &   &   &   &   &   &    &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &     && &  &    & & & 2 &  &    & & & 2 &   &    &    &    &    &   &   &   &   &   &   )))*    &   ) ))*   )))*   &   ) ))*   ) ))*   &   )))*   &   )))*   )       )  ) ) )      ) ) ))*   &    &   ) ) )*   ) ) )*   ) ))*   &         &   &   &   &   ) ) ) ) ) ) ) ) ) &      &   &   &   &   &   )))*   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   & &    &   &   &   &   &   &   &   ) ))*    & & &  &  &  &  &  &  &                  ********   &  &  &  &                  ********   &  &  &  &                  ********   &  &  &  &                  ********   &  &  &  &                  ********                   ********                   ********                   ********   &  &  &  &                  ********                   ********                   ********                   ********   &  &  &  &                  ********                   ********                   ********                   ********  & * &))  &  & & &       )))*  ) )   & *      )) *  && *   &     )) *  && *   &     )) *   &  & & &       )))*  ) )   & *      )) *  && *   &     )) *  && *   &     )) *       *   &     *   &     *   & * * & & &  &    && )  **   &   && )  **   &   && )  **  &   &       & & & **   &    && )  **   &   && )  **   &   && )  **  &   &       & & & **     && )  **   &   && )  **   &   && )  **  &      & )**      & **   &))))))))))))  )  *   &  & &    &  &    &   &  & *  & *  & *  & *   & *   & *  **    *    *   &   )  )      ) )  )  )  )   & &    *   & &    *   & &    *   & &    )*   & &    *   & &    *   & &    *   & &    )*   & & & 2  &)))))))))))))   &  &  &   &  &    &  &  &  &  &  &  &  &  &   &  & &  &  & & &  & &  & &  &  &  & *  & *  & *  *  & *  & *  & *  *  & *  & *  & *  *           *  *  *           *  *  *          )   &   **   ) ** -&  )      & &  & & &  & & &   &  & &  & 2  & *)))))))))))))   &  &  &   ) *   &  &   &  &  &  &  &  &  &  &  & ) ** ) &* **    &  & &  &  & & &  & &  & &  &  &  & *  & *  & *  *  & *  & *  & *  *  & *  & *  & *  *           *  *  *           *  *  *          ) &  * * *  )      & &  & & &  & & &   &  & &  & 2  &    &   &  & &  * )   & &  & &     *   & &     *   & &     *               & &  & &  & )  )  )  )  & &  & & 2  &))))))))   &   &  &    &  &  &   &  & &  * )   & &     *   & &     *   & &     *               & &      **   & &      **   & &      **   &  & * & &  ) ) )   &    & & & 2 ) )         ) ) )       ) ) )   ) ) ) ) ) 0           *             )&             ,  & &    **   & &    **   & &    **  * * *  )  )    *    *      *         &    & &  & &2  & )  )  )  )  &  & &  & 2  & & *)))))))))))   &  &   &  & & & &    &  &  *  &  &    )**     *       &    &'   &  &    &   &'    &          &  &   &   &  &  & &  & & & &  & & & &  &  & &  & 2  &  * )  ) *  &  &   & &***  ) )  *    &   &  *   )     &  & &  & &  *  & &  *  & &  *  && & ' &&)*   &  &))* *) **    & &  * * * &* **   *   & *                        & &  & & 2   &  & &  & &  *  & &  *  & &  *  & &  * * &* **   *   & *   &  *                        & &  & & 2   &  &   &  &  &   &  & &  & &  & &  * )   )                &    &  *   & &  &   **   & &  *       **         &  & * & &  ) ) )   &    & & & 2 ) )         ) ) )       ) ) )   ) ) ) ) ) 0           *             )&  &                  * *  * *  * * )                  *      *      *     &   &  & &  & 2     &  &   &     & &  &      &    && &  &         & & & 2   )  )  )  & & &    & ) ) )   & *      & *      & *      & & & 2 ) ) ) &*              )    & )   &  *   &  *   &  *  **      & & & 2  &))))))  &    &  &    & & & & &   &  & & &-   &  & & &  &)*   &  &  &  &    & & & &  &  & & 2  & & &  &  & &  & ** & &** **  &  *   &  *  )     **     **       **   *         &   &  &    &   &   &   &       &  & &   &   &     &  &  &    & 2 &  & & & 2   &  & &   &   &     &  &  &    & 2 &  & & & 2  & & & & & & &  &   &   &   &   &  & & &    &  & & &   &  &  &  &  &  &  &  &  & & &    &  & & &                & &   & & &     &   &  &  &   & &  &  & &  &   & &  &   &  &  &  &  & &  & &  & &  &   &  &  &    & & & & & & & & &   &  &  &,.    &  &  &  &  &  &  &     &  &  & &  & &  & &  &   &  &  &     &      &      &  & & ,  &  &.  &   &  & & & ,  &.  &      &  & & &    & & &     &  &  & & &    &  &    &    & & &   & &  &     &  &  &  &  &   &  &    & &  &  & &  &  & &  &  &  &    & &  &  & &  &   & &  &  &  &  &  &  & &  & &  & &  &   &  &  &    & & & & & & &   &  &  &  & & & & & & & & &   &  &  &,. &  &    & & &  &  &   &  &    & &  &  & &  &  & &  &  &  &    & &  &  & &  &   & &  &  &  &  &  &  & &  & &  & &  &   &  &  &   & & & & & & &   &  &  &  & & & & & & & & & ,  &  &.                & & & ,  &  &.  &   &  & & & ,  &.  &   &   &  & & &    & & &   &  &  &  & & &    &  &    &    & & &   & &  &     &  &  &  &  &   &  &    & &  &  & &  &  & &  &  &  &    & &  &  & &  &   & &  &  &  &  &  &  & &  & &  & &  &   &  &  &    & & & & & & &   &  &  &  & & & & & & & & &   &  &  &,. &  &    & & &  &  &   &  &    & &  &  & &  &  & &  &  &  &    & &  &  & &  &   & &  &  &  &  &  &  & &  & &  & &  &   &  &  &   & & & & & & &   &  &  &  & & & & & & & & & ,  &  &.             & & ,  &  &.  &   &  & & & ,  &.  &      &  & & &    &  & & &     &  &          &  & & &    &  & & &                & &   & & &     &   &  &  &   & &  &  & &  &   & &  &   &  &  &  &  & &  & &  & &  &   &  &  &    & & & & & & & & &   &  &  &,.    &  &  &  &  &  &  &     &  &  & &  & &  & &  &   &  &  &     &      &      &     & & & ,  &  &.  &   &  & & & ,  &.   & & & & & &))))  &   &  &   &   &  & & &    &  & & &   &  &  &  &  &  &  &  &  & & &    &  & & &                & &   & & &     &   &  &  &   & &  &  & &  &   & &  &     &  &  &  &  & &  & &  & &  &   &  &  &     & & & & & & & & &   &  &  & ,.    &  &  &  &  &  &  &    &  &  & & & &   &  &  &    &*    &*    &* ) **    )    )    )  & & ,  &  &.  &   &  & & & ,  &.  &   &   &  & & &    & & &   &  &  &  & & &    &  &    &    & & &   & &  &     &  &  &  &  &   &  &    & &  &  & &  &  & &  &  &  &    & &  &  & &  &   & &  &  &  &  &  &  & &  & &  & &  &   &  &  &    & & & & & & &   &  &  &  & & & & & & & & &   &  &  &,. &  &    & & &  &  &   &  &    & &  &  & &  &  & &  &  &  &    & &  &  & &  &   & &  &  &  &  &  &  & &  & &  & &  &   &  &  &   & & & & & & &   &  &  &  & & & & & & & & & ,  &  &.  &*  &*  &* ) **    )    )    )  & & ,  &  &.  &   &  & & & ,  &.   & & &   &   &  & & &    &  &  &  &  &  &  &  &  &  &  &  &  &   &  &              &      & & &  &  ,          &  & & &   &   &     &  &  &      &  & & & 2  & &    & &  ,  &  &. &  &   & & &   &   &              &      & & &  &           &  &  &  &  &   &  & & &   &   &     &  &  &      &  & & & 2  & &       &   &   &  & &    &  &     &     &        &  &      & &  &           & &   &  &  &  & &    &     &    &    & &     &  &    &    &  &  &  '' ,  & &. &  & ,  &  & &  & &  &.21  &  & & &   &   &     &  &  &      &  & & & 2  & &       &  &  &  && &   &     &  & && &  & &   &   &  &    &    &    &    &    &&   & &  &   &  &  &  & & & &  &     &   &  &   &  &   &  &  & &   &     &        &  & & & ,  & &.  & &  & ,  & &.  & & &   &      &       & & & &   &  &  &  & &&   &  &         &  &  2  & &   &   && ,  & ,.  &  &21    &    &    &    &    && &  & & &   &    &    &  &    &      & & &  &   &  & & & &   & &     & & & &  &  & &   &   &  &     & & 2   &  &    &   &  &    &    & & & 2      & &      & &   & &  &     &    & )   & &               & )   & )   & )   & )   & )   & )   & )   & )   & &                & & 2    &   &   &   &   &  &    &   &  &    &   & & 2 &   &   &   &   &  &    &   & & 2    & &   & &  &     &    & )   & &               & )   & )   & )   & )   & )   & )   & )   & )   & &                & & 2   &   & & & &   &   &  &  &  &        & & & & ,   &  & 221 &       & &  &    &    & &  &  &   &   &  & & &  &   &  &  &  &        & & & & & ,   &  & 221      & & 2   & & & 2       & &  &    &    & & & 2 & &   &  &      & &    & & & 2  & &    & & & & & &      & &&-   &        & & & & & ,   &  & 221  & & & 2 &  &    &  &  & ,  & & & ,. 21 & &  & &   &    &  &    & &&-     &   &  &  ,    ,. & 221  & & & 2 &      &     &  &  &   &  &   , & &    &  &  &   & &-  &       & & 2  &     2     & & & 2 & &   & &   &    &  &    & & & &&-     &   & & & 2  &    &  &  & & & &    &        &   &  &  & & & & 2  & & & 2 & & &      & &   &   &  &    &    & & & 2 &    &  &  &   &   & & &)   &          &  &  &   & &-   &  &  &  &   &   &  & &    &  &  &   &  ,  & & &  ,.   &   &                 21 &   &  &   & &      & & 2    & &   & ,   & &  & & &&-    &     &   &                                    &   & &  & ,. 21    &    **  ) )    ))      &  &  & & &   &      &  & &  & ,   &      &  &   &  &  &  &  & &  &  &  &    & & &   &    &  & & &    & ,   ,   &    &  &   &   2    &  &  & &     &  &  & &      &      &  &   &  &  &  &  & &  &  &   &    & & &   &   & & &    & ,   ,   &     &   2    &      **   &      **            *    *     &      **   &      **   &      **   & &   & &   &  &    & & & &  & & ,  & ,.   &21 &   & &-    & & & &  & & &-  &  &   & &          &              )  &              )  )  )  )  )  )  )  )  &                 &  &    ,   &  & & 2   2 & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        &   &  &            &  & &   &  &  &  &   &        &  & & &     & & & & & &)   &  &   &     & &  ,  & &  ,. & &  & & &   & & &        & &      & &  & , &            &                & & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &         &   & 2 &     & &    &       &  &  & &    &     &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &         &  &    &    &   & & & &&  &  &      & & & & &  ,  &   & &  ,. &  & & & & &  &    &  &  &  , & & ,.     ,        &  ,.21 &           &              )  &              )  )  )  )  )  )  )  )  &                &  &      &  & & 2    & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        &   &21  &  &      &  )  &              )  )  )  )  )  )  )  )  &                & &     &   &   &    &   &    *   ) )   &      &    & & 2  &  &   &   & &  &      &  & &&  & &  & & &&   , 2     & &  &   &   & &    )*     )*   &       & & 2  & &  &    & &   & &   &    &   &    &       & & 2  &  &    & &   &   & &   &   &       & & 2  &)  &    * &   & &   ) )   &       & & 2  & & & &)  &    & &   &  & &   & &     &  &     &  && &&  & &  & & &&    & ,  2         *   ) )   &       & & 2  & &)  &    * ) )  &   & &   ))   * ) )    ))   &       & & 2  & & &)))  &   &   & &  &  * ) )   * ) )   * ) )    ))    ))    ))   &  &       & & 2  &  &   &   &   &   & &    & &   &   & &  &  &   & & &   & &    & & &  & & & & & & &  &   &  &    & &  & & &  & & & &     & &- &  & & & &     &  &  &  &  &  & &     &  & &   &   &  &  &  & & & 2 & &   &   &  &  &  & & & 2 &   &   &   &   &   &   &   &      &)))   &   &  &  &  &  &  &  &  &  &  &  &  &    &  &  &     &      &    &    &  *  * ) )  )*  &     *             &             &               &    &   & &-   &  &   & & ,  & & &   ,. &      *  *    *          &             &               &  & &     21  &    & & & &     & &-   ,  &  & & & &    &   )  )**  )*   & &  ,     *  *    *          &             &               & &   2  &  & &  &  &      & & 2    & &  &  &   & & & & &&-      &      &  &         &  &  2 & &   &   && ,  &  ,.  &   21 &   &    &    &    &    &    &    &    &    &    &   &&  )*  )*   )*   &  )  )  )       & &&&&-   & &  &      &   & &  & &      &     &&   )***  ) )    )    & & & 2  &  &  '' 2  &  & & & ,  & &. &   &  & &&    & &&  &  )*  )*   )*  ,  )  )  )  &  &  &  & &   & &  &    &   & &  & &       &     &&   )***  ) )    )    & & & 2  &  &  '' 2   &  & & & ,  & &.2  & &  &  &  & & & &  &    &  &  & &   &  & &   &  &   &  &  &  &  & &  &    & & ,  &  &  &  &  &  &   & &  & &       &&**  & & &     &    &    &&**  & & &     &    &    &&**  & & &     &    &  &  '' ,  & &.  &  & & & ,  & &  & &.  &  &     &     &        &  &      & &  &          &   &  &  &  &    &  &  &  & &      &   &     &     &    &   &     &  &     &     &  &  &    &&**   & &     &      &&**   & &     &      &&**   & &     &    &  &  &  '' ,   &  & &.  &  &  & & ,  &   &  & &  & &  &.21  & & &   & ,   & ,   2  &  &  &      &  & & & 2  & & ,   ,   & & ,  &  &  &  &  &  &   & &  & &       &&**  & & &     &    &    &&**  & & &     &    &    &&**  & & &     &    &  &  '' ,  & &.  &  & & & ,  & &  & &.  &  &     &     &        &  &      & &  &          &   &  &  &  &    &  &  &  & &     &   &     &     &    &   &     &  &     &     &  &  &    &&**   & &     &      &&**   & &     &      &&**   & &     &    &  &  &  ''  ,   &  & &.  &  &  & & ,  &   &  & &  & &  &.21  & & &   & ,   & ,   2  &  &  &      &  & & & 2  & & ,   ,21  &  & &  & &   &  &  & & &&   &  &  & & &    &  &  & &   &  &&  &  & &  &  &  &  &  &  &  & &       &    &    &  &  &  '' ,  & &.  &  &  & & ,  &   &  & &  &.21   & &           & & &   &   &     & & &   &   &     & & &   &   &     &       &    &  &   &   &  &   & &-   & &-  &  ,           &&  &  & &   & & &   & &-        & & &  ,. &  &   &  & &         & &   & & &-  & &   &  & & &         &      )))) ))) ))     )))) ))) ))             & & & & &   &   &  &  &  &  & &    & &   & &&   &  &         &  &  2  & &   &   && ,  &  ,.  &    &  &  &     &       & &  &&  21 &                                     &   & & &&  &      &  &  &  &  &  &  &  &    & & &&   && '   &   & &  &&   && '   & &  &&    & &  &  & &  ,  & &  & &  ,  & &  &   ,  & &  &  , & & &  & &  &  ,  & &  &  , & &   & &  , . &         &         &   &&  & &  & & &&       &     &,  2  &     & &       & &  &  &  &        & & & &        &            &    '                    & &   &     &      &   &   &  &  & & & & &  & & & & &  , & & & &  , & &  ,  2 &  &    &  &  &          & &   & &   & &   & &   & &   & &   &   &  &  & &  &  &  & &  & &  & '  &!!  ,!!!!  ,!!  ,!!!!!  ,!!!!!!  ,!  !" &    & & &   &  & &  & &  & &  & &    & &   &   & , &  & &  & ,  &   &  &  &   & & & &   & & &&  && &  & & & & , . & &.1  &   &  &   &  & & 2  &   &  & &  &   &   &           &  & &  &   &   &           &  & &  &   &   &           &  & &  &   &   &           &  & &  &   &   &           &  & & &   &   &            & & & & &   &   &  &  &  &  & &    & &  &&   & &  &  &           &    &           & &     &        & &   &  &      &  &  &        &  &         &  &  2  & &   &  &  ,  &  && , . &               &   & & &))   &  &   & &  &  & & &  & &  & & &   & & & & & & 2   & &  &   &  & &  & & &   &  &  &         &    &  ) )   & &  & ) ),! )  ),! ) ),! ) ),! ) ),! ) ),!!"   & &   & & &   & & &   & & &         &   &   & & , .    &  &  &  &  &  & &   &   &  &  &  &  &  &  &  & &   &   &  &  &   &      &    &  & &  & & & & 2 &  &  &  &   &  &  & &     &   &  &  & & &   & &      & & 2   & &   &&  , &  & &  & & &&-   &      &  &  &   &   &    &    &     &   &    &    &     &   &    &    & &              &   &  & & &  ,. &  &    &   & &   &  & & & & &    & &  & &&  &   &   & &-   & & & 2  &)))))))  & &    & &  *  *  *  ))   &  *   &  *   &  *  **  & &*     & & & , .  & & & & & &)))))))   &    &*  &   &*  &   &*       &   &  **   & &&*      &    *       &    *  & &    & &  *  *  *  ))   &  *   &  *   &  *  **  & &*     & & & , .  & &   & &   &   & &  &  & &- ,  & & & ,.  &  &21 &    &  &  & &       &   &   & & & &  &  & &  &   &   &  &      &    &  & &  & & & & 2 &  & &  &    &        & &   &   &   &    & & & 2  & & & 2 & &  &    &   & & & 2     &    &    &    & & &    & &   &   &    & & & 2   &   & & 2 & &   &   &     &  & & 2 &  & & & 2  &  &  &         &  &  2  & &   &    &  && ,  &   ,. &   &  &&  & &   &  &   &   &    &    & &    &     &    &    &    &    &  &   && &   & & &   & , ,  & ,   ,  & & &   &    &    &  &    &      &2   & &   &   & &  &         &  &  2  & &   &   && ,  & ,.  &           &  &      &  &  &      &  & & & 2  &   &   &  &  &  &  &      &  & & & 2      21        & &    )  &   &     &  &  & &**   && & 2  &  & & & 2 )  & &   &   &  & &    &  &   & &   &   &   &      &  &  &   &    & &   & &  & & , &  &  &  &                  & &  & &    &  &  &                    &       &  &   & & &  & &&  & & ,  & & & ,    . 21 &  &   &     &     &        &  &   & & &  & &&  & & ,  & & & ,    . 21  &   & &   &       &  & & &   &   &            &2  &      &  &      &  &      & & &   &   &  &  &  &  &  &  &  &  & &              &  &         &  &  2  & &   &   && ,  & ,. 21 & & &          &          &  &  &  &  &         & &     &     &     &               &   &&  & &     & &-          , & '    &  &&   2 &&           &  &  &      &  & &  &  & & & &  , & & & , . & &.1  &  &    & & & 2    &     &                &     &  &   &    &    & & &  &        & & & & & , & & & , . & &.1  &   &  &   &  &   &  &          &   & &     &  & & &   &  &   &  &  &  &  &  & & '        &              &   &  &&     &  &&                   &   &  &   &  &   & && &&     &   &  &   &  &   & &&       &&   &     &    &   &  &  &         &  &   &  & & &     &  &&           &   &,   & & &  &  &   &       & , .  & & 2  & &  &  ,.  21 &  & ' ,   & & &  &  &   &      & , . &  &   & &&     &   &  &   & &&     &   &    &   &  &   &  &   & &&&     &   &  &    21 &  &          & & &   &   &  &  & &'        &         &  &    & & & 2       &         &  &          &   &   &  & &   &  &    &  & &   & &  & & & &        &  &  & &   &   &  &  &  & &   &     &   & ,  &  & ,  &  & ,  &  & ,  & & & 2 &   &    &  &    &&  &    &&  &    &&  & &   &    &&  & & &  & & ,   & &   &   &  &  &  &  &  & &   &     &   &  &  &  &  &  ,  &  & ,  & & & 2 21  &    &&   &   &     & &        &    &    &  & &     &  &  &  & & & ,  &. &  &   &  & & , .21  &  & & & 2  &     & & & &   &  &    &     &  &  &  &  &    &       &     &        &       & & &  &          ,    2    &  &  &  &  &    & &  & & &  &&  &  & & &  & &  & &  &  & &&  &    &  & & &   &   &       & &  &&    &  &  &  &  & &              &  &       & & &  &      &     &  ,     &  &2            & &   &   &  &  &&   & &   &  &    & &-       & & &  &          & '    & &  &&    & '    & &  &&  &     & && & &   & & ,  & &  ,. & 21 &  & & '    &    &  &&  &  &  &  &              &      & &  &   &     &     &    &      &    & &   &  &  & &   & & &   &      &       & &   &  &   &    &    &   &  &  &     &     &        &  &      & &  &   &     &     &   &   &  &  &  &  &  & &       &    &     &  &  &  '' ,  & &.  &  &   & & ,   &  &  & &  &.21 &&     & && & &  & & ,  & &  ,.   & & &   & , ,  & ,   ,2  & & &   &      &       & &))))   &  &  &   &    &    &    &    &    &    &&   &  & &-   &  & &-      &     &        &  &      & &  &   &     &     &   &   &  &  &  &   &  &  &  & &      &&)) * )  &&)) *   &&)) * )  &&)) *   &&)) * )  &&)) *  **   ) ))    ) ))    ) ))   &  &  '' ,  & &  & &.  &  &   & & ,   &  &  & &  & &  &.21 &&     & && & &  & & ,  & &  ,.   & & &   & , ,  & ,   ,2  & & &   &   &     & & &   &      &       &   &    & &  & &  & &  & &  & &  & &  & &    & &  &  &   &  &  &  & ,  &  ,.21 &    &  &  &  ,  &           &  &   &  & 2       &             &    &       &  & &   & &  ,. &  &     &  &          &   &             & & ,  &.     & & & & & & & & & & & & & & & & & &    &  &   &  &  & ,  & ,. & & &     & &-       &  &   &&  & &   & &  & 2 & &21 & &  & ,.     &  &      &  &    &     & 2    &   &   &   &   &   &   &     &   &   &   &   &   &       &               & & , &.  && &   &       &&     &&            &                 &          &              )  &              )  )  )  )  )  )  )  )  &                &  &     &  & & 2     & && 2  &&               &&           )       ) ) ) ) ) ) ) )        &   &  & & 2     && & & &    &   &    & & & & & & & & & & &   &       && &   & & &   &   &   &   & & & &  & & & & & & & &   & &  & & &  &  & &    & &   &   &   ''  &    &     &  &  &  & &   &  '' ,  &.    &   &  '' , .  &  &  & &    &  &  &  &  &  &  & &   &   &   ''  &     &     &  &  &  & &     &  &  &  & &     &  &  &  & &     &  &  &  & &   &  '' ,  &.     &  &  '' 2  &  &  & &    &  &  &  &  & &   &   &   ''  &' &  &  &     &  &  &  & &     &  &  &  & &     &  &  &  & &   &  '' ,  &.   &  &  &  '' 2  &  &  & &    &  &  & &   &   &   ''  &     &     &  &  &  & &     &  &  &  & &   &  '' ,  &.     &  &  '' 2      ''''   &   & &     ''  & ,. ' ' &    ''  &,. ' ' &  & &  & &    & &  & & &  &   &   &  &       ''    &  &  &  &  &  &  &  '' 2  &  '' ,  &.              &  ''  ,.  &  '' 2  &     ''  & ,. ' ' &    ''  &,. ' ' &  & &  & &    & & & &  &   &   &  &     ''    &  &  &  '' 2  &  '' ,  &.      &  ''  ,.  &  '' 2  &     ''  & ,. ' ' &    ''  &,. ' ' &  & &  & &    & &   & &  &   &   &  &      ''    &  &  &  &  &  '' 2  &  '' ,  &.          &  ''  ,.  &  '' 2  &     ''  & ,. ' ' &    ''  &,. ' ' &  & &  & &    & &   & &  &   &   &  &        ''    &  &  &  &  &  &  &  &  &  '' 2  &  '' ,  &.                  &  ''  ,.  &  '' 2   &    & &    ''  &,.   ' ' &    ''  &,. ' ' &  & &   & &    & &   &    & & && & & && & &   &     &  &      &       &   & &  & &   & &     &  &     &    &   &  &  &  &  &  &  &  & & &      &  &  &  &  &  &  &  &  ''   , .     & &  & &  &  & &    & &   & &  &  & &    & &   & &  &  & &    &  &     &  ''       &  &  &  &  &  &  &  ''     ,.           & &  &  & & &  &  & &  &  & & &  &  & &  &  & & &  &  &  &  &   ,  .  &  ''       &  &  &  &  &  &  &  ''    ,.     & &  & &  &  & &  &  & &  & &  &  & &  &  & &  & &  &  & &  & &      &      &       &  '' 2  '' 2  &    & &    ''  &,.   ' ' &    ''  &,. ' ' &  & &   & &    & &   &    & & && & & && & &   &     &  &      &       &   & &  & &   & &     &  &         &   &  &  &  &  &  & & &    &  &  &  &  '' 2   & &  & &  &  & &    &  &        &  ''     &  &  &  ''    ,.     & &  &  & & &  &  &  &  &   ,  .  &  ''     &  &  &  ''    ,.   & &  & &  &  & &  & &       &  '' 2  '' 2  &    & &    ''  &,.   ' ' &    ''  &,. ' ' &  & &   & &    & &   &    & & && & & && & &   &     &  &      &       &   & &  & &   & &     &  &     &    &   &   &  &   &  &  & & &       &  &  &  &  &  &  &  &  &  &  ''   , .      & &  & &  &  & &    & &   & &  &  & &    & &   & &  &  & &    & &   & &  &  & &    &  &     &  ''        &  &  &  &  &  &  &  &  &  ''      ,.              & &  &  & & &  &  & &  &  & & &  &  & &  &  & & &  &  & &  &  & & &  &  &  &  &  , .  &  ''        &  &  &  &  &  &  &  &  &  ''     ,.      & &  & &  &  & &  &  & &  & &  &  & &  &  & &  & &  &  & &  &  & &  & &  &  & &  & &      &      &      &       &  '' 2  '' 2  &    & &    ''  &,.   ' ' &    ''  &,. ' ' &  & &   & &    & &   &    & & && & & && & &   &     &  &      &       &   & &  & &   & &     &  &     &    &   &   &  &   &  &  & & &     &  &  &  &  &  &  '' 2    & &  & &  &  & &    & &   & &  &  & &    &  &        &  ''      &  &  &  &  &  ''    ,.        & &  &  & & &  &  & &  &  & & &  &  &  &  &   ,  .  &  ''      &  &  &  &  &  ''    ,.    & &  & &  &  & &  &  & &  & &  &  & &  & &      &       &  '' 2  '' 2   & & & & &)))   &   &  &  &  &  &  &     &  &  &  &    &,    &        & 2        &   &  &      &  , &    & ,    &        &2 &  &  &  &        &  &       & &    , & &  &    ,  &   ,  &   ,  &   ,  & ,  &   ,  & ,    ,. &     &        ,  .1     , .1 &   & &    &  &      &21 && &   && & -  & &&    &         & &   &     ,2 &    ,   &        &2 &     &        &  &  &      &'   &  & & & &  &            &  &  &     &     &        &  &       & & &  &      &     &  ,     &  &2             &  &  &  &  &  &  &  &  &  & &     & &   , & & & &    '' & & &    '' & & &    '' & & &    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   & &        &            &    '      &  &     &     &  &  &     &    &     &  &  &   &  &    &  & & & & &  & & & & &  , & &   &  &  &  &  &  , & & & &   &  &  &  &  &  , , 2 &   &  &  &  &  & &!!!   ,!!   ,!   ,!"21 &    & &  &'   &  &  & & &  & & & &-   &  &  &  &  &   &   &  &   & & & &   & & && & &  & &  & &     & &   & & & & & & &  ,.  & & & & &    &  &  &  &  &  & & &   & & &- ,  &   &   & & & &   & & && & &  & &  & &     & &  +   & & .  &   & &   &  &      &  &        &  &          &  &        )  &  &   &     & & &   &   &        &    & & & &   &   & &-   &  &  &  &  &   &   & &  &   & &      & & 2    & &   & , &   & &  & & &&-    &     &   &                                  & &     & &  & ,. 21     *  &      &&-   &  & &  & ,  & &  &   &  &  &  &  & &  &  &  &    & & &   &    &  & & &    & ,   ,   &    &  &   &   2  &           &&&&-   & &  &   &  &  &  &  & &  &  &   &    & & &   &   & & &    & ,   ,   &     &   2      *    *           *    *     &  &              & &   &   &  &  &  &  &  &  &  &  &  &   &  &   &    &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &    &  & &  & &   & &  & , &  &  ,,  & & ,,2  & &&  &  , & & &     &  ,             &    &  &     & &   & &      & & 2    & &  &  , & & & & & &-           &  &  & &     & ,  . &   &  &  & &  &     & &   ,     & &    ,  &  & &    &  &  & &-    ,  & & & ,. & ,      & & &  &       &  & & & ,. , &   & &   &    &    &  &  & &-   ,  & & &  ,. &      & &    21  &  & &  &  &      & & 2    & &  &  , &   & & & & &&-      &       &         &  &  2  & &   &   && ,  &  ,.  &   21 &    & &             &  & &   &   & &-   &     &  & &  & & &         &  &  & &   &  & &   &  &     & &   & & ,  & &   & & ,  &  &   & &  & &     &    & &  & &  &' &      & &  &  & &  &' &      & &  &  & &  &' &      &  &  '' ,  & &.   &  & & & ,  & &  & &.  &  &              &      & &  &  ,         &    &  &  &  & &      &   &     &     &    &   &     &  &     &     &  &  &  &    &  & & &' &      & &  & &' &      & &  & &' &      &  &  &  '' ,   &  & &.  &  &   & & ,    &  &  & &  & &  &.21  & & &   & ,   & ,   2  &  &  &      &  & & & 2  & & ,   , &  , &   & & ,  &  &   & & ,  & &  & &   &   &    & ,  &  '' 2  & & & ,  &.2 &   & & ,  &  &   & &  & &       & &    && &      &  && &      &  & & &      &  & & &      &  &  '' ,  & &.  &  & & & ,  & &  & &.  &  &                    & &  &  ,         &    &  &  &  & &     &   &     &     &    &   &     &     &    &   &     &  &     &     &  &  &    & &    & &      & &      & &         &  &  &  ''  ,   &  & &.  &  &   & & ,   &   &  & &  & &  &.21  & & &   & ,   & ,   2  &  &  &      &  & & & 2  & & ,   ,21 &   & & ,  &  &   & &  & &       & &    && &      &  && &      &  & & &      &  &  '' ,  & &.  &  & & & ,  & &  & &.  &  &              &      & &  &  ,         &     &  &  &  & &      &   &     &     &    &   &     &  &     &     &  &  &    & &    & &      & &      & &      &  &  &  '' ,   &  & &.  &  &   & & ,   &   &  & &  & &  &.21  & & &   & ,   & ,   2  &  &  &      &  & & & 2  & & ,   ,,21  & & &   & ,   & ,   2  &  & & & 2  &  &   & -   & &-     &  & &  & & &         & ,  & & &   & ,   & ,   2  &  & & & ,.  &  & &   &  & &   &  &     & &  &   & &   & & ,  &  &  &   & &  & &       &  &  &  '' ,  & &.  &  & & & ,  & &  & &.  &  &                    & &  &  ,         &    &  &  &  & &     &     &    &    & &     &  &    &    & &     &    &    &    &  &  &  &  '' ,   &  & &.  &  &     & & ,   &   &  & &  & &  &.21  & & &   & ,   & ,   2  &  &  &      &  & & & 2  & & ,   21  & & &   & , ,  & ,   ,21  &     && &     & & &   & , ,  & ,   ,2   21  & &  &  ,.1 &  &  &  &  &  &  &   &    & & & &     & &  &    & &   &  &    &   &   ,   &   &&  ,  & & & ,. &   &21  &    **    &  &  &  &    &    &  &    &  &  &    &      **    &    **    &  &  &  &    &      **    &    **    &      **    &    **    &    **    &   & & & & &   &   &  &  &  &       &  &  &   &       &       &     & &  &   &  &    &  &    &  &    &  &    &  &    &  &     & & 2  & & & &   &   &  &   &  &  & &  &   & &      & & 2    & &  &  &   & & & & &&-    &     &      &  &  &   &  &  &  &  &   & &      & & 2    & &  & , &   & & & & &&-    &     &    &  &  & &     & ,. 21          &  &   &  &  & 2  & &   &  &         &  &  2   &  &   &  &   && ,  & ,.  &  &21  &  &  &   &     & & & 2  &           &  &   &  & 2       &             &    &       &  & &   &  &      &  &     &     & 2  &     &     &     &     &  &  &  &    &   &  &    &   &  &    &  &  & 2  &   &  &    &   &  &    &     &   &  &    &     & & &   &  &  &  &   &  &  &  & &  &    &  & &    &  &  &  &   &&  & &     &  &  &&' &      &  &  '' ,  & &.  &  & & & ,  & &  & &.   &  &     &     &          &      & &  &           & &   &  &   &  &  &  & &      &     &    &    & &     &    &    & &     &  &    &    &  &  &  &&' &      &  &  &  '' ,   &  & &.   &  &  & & ,   &  &  & &  & &  &.21  &  & & &   &   &     &  &  &      &  & & & 2  & &         &  & &    &  &  &  &   &&  & &       &  &  &  '' ,  & &.   &  & & & ,  & &  & &.   &  &     &     &          &      & &  &           & &   &  &   &  &  &  & &     &     &  &    &    & &     &    &    & &     &    &    &    &  &  &  &  ''  ,   &  & &.   &  &  & & ,   &  &  & &  & &  &.21  &  & & &   &   &     &  &  &      &  & & & 2  & &          &  & &    &  &  &  &   &&  & &     &  &  &  & &  &&' &      &  &  '' ,  & &.   &  & & & ,  & &  & &.   &  &     &     &          &      & &  &           & &   &  &   &  &  &  & &      &     &    &    & &     &    &    & &     &  &    &    &  &  &  &  & &  &&' &      &  &  &  '' ,   &  & &.  &  &  & & ,  &   &  & &  & &  &.21  &  & & &   &   &     &  &  &      &  & & & 2  & &         &  & &    &  &  &  &   &&  & &       &  &  & &' &  &  &  '' ,  & &.  &  & & & ,  & &  & &.   &  &     &     &          &      & &  &           & &   &  &   &  &  &  & &     &     &    &    & &     &  &    &    & &     &    &    &    &  &  & &' &  &  &  &  ''  ,   &  & &.  &  &  & & ,  &   &  & &  & &  &.21  &  & & &   &   &     &  &  &      &  & & & 2  & &               &     &    &    &    &    & &  &  &     & &  &  &    & & 2       &   & &  &     &        &   &    & &  &  & &  &  &     & &  &    & & &  &    & & & & &   &  &   &              & & & & & &)))))))))          &* ) ) )    &  &))* )*     & & &   &*   &* &*   &* &* &* **   &) *  ) *)* ))  &  & & & &  &      & & 2    & &  &  , &  & & & & &&-   & &          &   &    &              *  *   *   & & &  &      & & 2   & &  &  , & & & & & &-   & &          &           & '* &*   &* &* &* **   &) *  ) *)* ))   & & &  &      & & 2    & &  &  , & & & & & &-   & &          &              *  *   *   & & &  &      & & 2   & &  &  , & & & & & &-   &        &          & & & &      & '*   &* &* &* &* **   &) *  ) *)* ))   & & & &  &      & & 2   & &  &  , & & & & & &-   & &         &              *  *   *   & & &  &      & & 2    & &  &  , & & & & & &-   & &          &            &* &* &* &* **   &) *  ) *)* ))   & & &  &      & & 2   & &  &  , & & & & & &-   & &            &              *  *   *   & & &  &      & & 2   & &  &  , &  & & && ,  &2      &          & & & , & .21 &  &  & &  ,.1 &  &  &  &  &  &  &  &  &   &  & & &)) )* )*      & & &   &*  &* &*   & '* &*  & & &   & '*   & & 2 &  &  & & 2  &* &  ) *  & &    & & &     &* &*   &* &* &* **   &) *  ) *)*  ))  &  & & & &  &      & & 2    & &  &  , &  & & & & &&-   & &          &   &    &              & & & & *)**  &   &    & & &  &      & & 2   & &  &  , & & & & & &-   &                        & '* &*   &* &* &* **   &) *  ) *)*  ))  &  & & & &  &      & & 2   & &  &  , &  & & & & &&-   & &           &   &    &              & & & & *)**  &   &    & & &  &      & & 2   & &  &  , & & & & & &-   &                       & & & &     & '*   &* &* &* &* **   &) *  ) *)*  ))  &  & & & &  &      & & 2   & &  &  , &  & & & &&  ,  & & 2          &   &    &              & & & & *)**  &   &    & & &  &      & & 2   & &  &  , &  & & && ,  &2                         &* &* &* &* **   &) *  ) *)*  ))  &  & & & &  &      & & 2   & &  &  , &  & & & &&  ,  & & 2          &     &  &              & & & & *)**  &   &    & & &  &      & & 2   & &  &  , &  & & && ,  &2                       & & & , &.21 &  &  & &  ,.1 &  &  &  &  &  &  &  &  &   &  &  & &       & & &    &* &*   & '* &*  & & &   & '*   & & 2 &  &  & & 2  & & &     &* &*   &* &* &* **   &) *  ) *)*  ))  &  & & & &  &      & & 2   & &  &  , &  & & & & &&-   & &          &   &    &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  &  , & & & & & &-   &                         &  & & & &  &      & & 2   & &  &  , &  & & & & &&-   & &         &   &    &               & '* &*   &* &* &* **   &) *  ) *)*  ))   & & &  &      & & 2   & &  &  , &  & & &&  ,  & & 2         &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  &  , &  & & &&  ,  & 2                          &  & & & &  &      & & 2   & &  &  , &  & & & && ,  &2   &  &              & & & &     & '*   &* &* &* &* **   &) *  ) *)*  ))   & & & &  &      & & 2   & &  , &  , &  & & &&  ,  & & 2     2  &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  , &  , &  & & &&  ,  & 2    2                     &  & & & &  &      & & 2   & &   , &  , &  & & & &&  ,  & & 2       2 &   &    &                &* &* &* &* **   &) *  ) *)*  ))   & & &  &      & & 2   & &   , &  , &  & & &&  ,  & & 2     2  &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  , &  , &  & & &&  ,  & 2    2                     &  & & & &  &      & & 2   & & , &  , &  & & & && ,  &2  2 &  &              & & & , & .21 &  &  & &  ,.1 & ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! !"     & & &     &* &*   &* &* &* **   &) *  ) *)*  ))  &  & & & &  &      & & 2   & &  &  , &  & & & & &&-   & &          &   &    &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  &  , & & & & & &-   &                         &  & & & &  &      & & 2   & &  &  , &  & & & & &&-   & &          &   &    &                & & &  &      & & 2   & &  &  , & & & & & &-   & &          &               & '* &*   &* &* &* **   &) *  ) *)*  ))   & & &  &      & & 2    & &  &  , & & & & & &-   & &          &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  &  , &  & & &&  ,  & 2                          &  & & & &  &      & & 2   & &  &  , &  & & & &&  ,  & & 2          &   &    &                & & &  &      & & 2   & &  &  , &  & & &&  ,  & 2        &              & & & &       & '*   &* &* &* &* **   &) *  ) *)*  ))   & & & &  &      & & 2   & &  , &  , &  & & &&  ,  & & 2     2  &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  , &  , &  & & &&  ,  & 2    2                     &  & & & &  &      & & 2   & &   , &  , &  & & & &&  ,  & & 2       2 &   &    &                & & &  &      & & 2   & &   , &  , &  & & &&  ,  & & 2       2  &                &* &* &* &* **   &) *  ) *)*  ))   & & &  &      & & 2   & &   , &  , &  & & &&  ,  & & 2   2  &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &   , &  , &  & & &&  ,  & 2    2                     &  & & & &  &      & & 2   & &   , &  , &  & & & &&  ,  & & 2       2 &   &    &                & & &  &      & & 2   & &   , &  , &  & & &&  ,  & 2    2  &              & & & , & .21 &  &  & &  ,.1 & ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! !"     & & &     &* &*   &* &* &* **   &) *  ) *)*  ))  &  & & & &  &      & & 2   & &  &  , &  & & & & &&-   & &          &   &    &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  &  , & & & & & &-   &                         &  & & & &  &      & & 2   & &  &  , &  & & & & &&-   & &          &   &    &               & '* &*   &* &* &* **   &) *  ) *)*  ))   & & &  &      & & 2   & &  &  , & & & & & &-   & &          &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  &  , & & & & & &-   &                           &  & & & &  &      & & 2   & &  &  , &  & & & && ,  &2   &  &              & & & &     & '*   &* &* &* &* **   &) *  ) *)*  ))   & & & &  &      & & 2   & &  , &  , &  & & &&  ,  & & 2     2  &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  , &  , &  & & &&  ,  & 2    2                     &  & & & &  &      & & 2   & &   , &  , &  & & & &&  ,  & & 2       2 &   &    &                &* &* &* &* **   &) *  ) *)*  ))   & & &  &      & & 2   & &   , &  , &  & & &&  ,  & & 2     2  &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  , &  , &  & & &&  ,  & 2    2                     &  & & & &  &      & & 2   & & , &  , &  & & & && ,  &2  2 &  &              & & & , & .21 &  &  & &  ,.1 & ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! !" & &     & & &     &* &*   &* &* &* **   &) *  ) *)*  ))  &  & & & &  &      & & 2   & &  &  , &  & & & & &&-   & &          &   &    &              & & & & *)**  &   &    & & &  &      & & 2   & &  &  , & & & & & &-   &                        & '* &*   &* &* &* **   &) *  ) *)*  ))  &  & & & &  &      & & 2   & &  &  , &  & & & & &&-   & &           &   &    &              & & & & *)**  &   &    & & &  &      & & 2   & &  &  , & & & & & &-   &                       & & & &    & '*   &* &* &* &* **   &) *  ) *)*  ))  &  & & & &  &      & & 2   & &  &  , &  & & & &&  ,  & & 2         &   &    &              & & & & *)**  &   &    & & &  &      & & 2   & &  , &  , &  & & && ,  &2   2                     &* &* &* &* **   &) *  ) *)*  ))  &  & & & &  &      & & 2   & &   , &  , &  & & & &&  ,  & & 2      2 &   &    &              & & & & *)**  &   &    & & &  &      & & 2   & &  , &  , &  & & && ,  &2   2                   & & & , &.21 &  &  & &  ,.1 &  &  &  &  &  &  &  &  &    & & &     &* &*   &* &* &* **   &) *  ) *)*  ))  &  & & & &  &      & & 2   & &  &  , &  & & & & &&-   & &           &   &    &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  &  , & & & & & &-   &                       &  *   *    *  &  & & & &  &      & & 2   & &  &  , &  & & & & &&-   & &         &   &    &               & '* &*   &* &* &* **   &) *  ) *)*  ))   & & &  &      & & 2   & &  &  , & & & & & &-   & &          &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  &  , & & & & & &-   &                         &  *   *    *  &  & & & &  &      & & 2   & &  &  , &  & & & && ,  &2   &  &              & & & &     & '*   &* &* &* &* **   &) *  ) *)*  ))   & & & &  &      & & 2   & &  , &  , &  & & &&  ,  & & 2     2  &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  , &  , &  & & &&  ,  & 2    2                   &  *   *    *  &  & & & &  &      & & 2   & &   , &  , &  & & & &&  ,  & & 2       2 &   &    &                &* &* &* &* **   &) *  ) *)*  ))   & & &  &      & & 2   & &   , &  , &  & & &&  ,  & & 2     2  &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  , &  , &  & & &&  ,  & 2    2                   &  *   *    *  &  & & & &  &      & & 2   & & , &  , &  & & & && ,  &2  2 &  &              & & & , & .21 &  &  & &  ,.1 & ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! ,! !"  & & & & &)))      ''  &  * &  &'**   &** -  &'*   &** **    &' *   &'  **   &'  **  * '))**   & & & & &  '    ' '    &   ''    &  ''   ' '    &    &   &  & &  & & &   ''    ''    ''   ' '    &  ''     &  ''   ''   ''   ''    &    & & & & & & &))))))    &  & &     & &* &* &) *   & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       & &  &              )  )   & & &  &      & & 2   & &  &  & & & & & &-   & &          &           &'*  & & &  &      & & 2   & &  &  & & & & & &-   & &        &              )   & & &  &      & & 2    & &  &  & & & & & &-   & &            &           &'*  & & &  &      & & 2   & &  &  & & & & & &-   & &      &              )   & & &  &      & & 2    & &  &  & & & & & &-   & &            &           & & &  &      & & 2   & &  &  & & & & & &-   & &        &               & & &  &      & & 2   & &  &  & & & & & &-   &                &   &* )  &  *  & &  &     &* &*   &'*   &'*    &   &  &   &  & &      &* &*   &'*   &'*    &     &  &   &  &   &* &*   &'*   &'*    &   &   &  &   &  &   & &* &*  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       & &  &               & & &  &      & & 2   & &  &  & & & & & &-   & &           &               &'*  & & &  &      & & 2   & &  &  & & & & & &-   & &      &               & & &  &      & & 2    & &  &  & & & & & &-   & &           &               &'*  & & &  &      & & 2   & &  &  & & & & & &-   & &        &               & & &  &      & & 2    & &  &  & & & & & &-   & &             &               & & &  &      & & 2   & &  &  &  & & && ,  & &2       &               & & &  &      & & 2   & &  &  &  & & && ,  &2                    &    &   &  &   &  &    &* &*   &'*   &'*    &   & &  & &    &  &   &  &    &* &*   &'*   &'*    &     &  &   &  &   & &* &*  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       & &  &               & & &  &      & & 2   & &  &  & & & & & &-   & &           &               &'*  & & &  &      & & 2   & &  &  & & & & & &-   & &       &               & & &  &      & & 2    & &  &  & & & & & &-   & &           &               &'*  & & &  &      & & 2   & &  &  & & & & & &-   & &        &               & & &  &      & & 2    & &  &  &  & & &&   ,  & &  2           &               & & &  &      & & 2   & &  &  &  & & && ,  & &2       &               & & &  &      & & 2   & &  &  &  & & && ,  &2                    &   &  &     &* &* &*   &'*   &'*    &       & & *  )  & *  )  & *   &)*   &  &  &  &  & & &   &  &   &  &&  &  ' '    &  &  &   &            &         &            & &))))    & &   & &   & &   &  & &  &      &  & & & 2  *     * )   &  *     * )   &  *     * )   &  *     * )   &    * )   &    * )   &    * )   &    * )   &   )  )*   &   )  )*   &   )  )*   &   )  )*   & &    & & &      & & &  &&           &     &&  &       & & &        & &    )))   &  &  &  & & & ,   ,2     21  &  &  &      & &   & & &   & & &   &  & &-  &  &) **  &     & & & , &, & & &   &   & &&-   & & &-    & & &  & &  & ,  &  &,2 & & &  &       & & & -       & & & -  &      &       &    & &  2  &    & & ))     &   &  &  &  & &  & )  ) &**  ) )   & &  & &   & & &  ),  )2    )   &  & & , , & & &   &)*  &)*  &)* ) 2  &  &  &  &  &  & & &   &  &&  &  ' '  &  &  &   &  &  & &  & 2 & &21  & & 2  &    &  & &  & & & ,  &      & &     2         )))))))))))  & &  & &   &   &      &      &  &  &  & &    & &      &  & &    & &     &    ,     & &   2    & & & & &      & &   *  *  *) &)*   ) &  & &, & &  & & &   & , &  , & &  & , &  , & , &  ,  & , &  , & , &  , & &  & , &  , & , &  , &  &  2     &  &  &   & &  & , &  , & , &  ,2      & &    * & &    * & &    * &   & &   &    & &   & &  &   & & &   &  & &-  & & & &   &   & &&-   & & &-    & &   & &  , & ,  &2 &,21 &   &) **   ,  & & &  & &   &    & & &-  & &   &      & &  &  & &    & &    &  & &       & &    & -  ))  &) *   )  &    & &       &   &  &   &    & &  & &  & & &&* &*   )     &  &)*   *  &*  &*  *  *  *  &* &)*   )  ) ) ) )  )  & &   &  & & , & & & )  &) &**  ) )   ) & ), &  ), &))  2   ) ))  &2  &  &  &  &  & & &   &  &&  &  ' ' ,  &  &  &   &  &2  & &  & 2 & &21  & & 2      &     &   ,     & & & 2            & & & & &       & &      & & &  &            & & & &  &   & & &   &  &            &  &  & & & & & , & &.21 & & & & & & & 2  &  & &  & &&   & &    &    &  & & -  ,  &    2 &        &      &      &  &   &   ,     &   &   ,  &,  & &   , . &  &        &    &  &         &  &     &    &        &      & & &  &     &   &  & &  ,  & &   , . & &  &        &    &        &  & & & &      & &   & &      & & 2   & &   &  &  & &  & & &&-   &   &        &  &  &   &       & &   & & & &   & &  , &   & &  &  ,  2  & & , .1 &    & &   & &  &   & & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &           & &  &  &   & &    & & &       & &      &  & &        &      &  &    &  &    &     ,  &2          & &   &  &  &    &  &    & &)   & &   & & &-  & &   &         & &  &  &   &   &   &  &  & &  )* )  &))   )  &  ** *)  &*  ))) *  ) )  & &  & 2 &  &     &          &  &  &  & & & & & , & &.21 & & &  & & & & 2   & & &     &  &  &    &  & &  &  & &   &   &  & &  & &  & &    &  & & & 2  &  ,.  &  & &  &  & &   &   &  & &  & &   & &   ,  , ,2  & &  & 2  & & 2 21   & & &   & & &   &  & &- &    & & 2 & & & & & &   &    & & &   & & & & &           & & &   & &    &     & &   & & &   & &  &   &    &   &   &   & & 2 & &   &  & & & & &   &   ,  &   &, 2   & &   & & &-  & &   &       & * & &)))  &)*  &)*  &)*  & &  & & ** *)*   &   * * *) &      &  ) &    & ) ))     & &   & & &-  & &   &  * * * & &   & & &-  & &   &     ))  & * ) * )))    &  &   &    &   & &*  & &  & 2 &  &     & &   & & &-  & &   &     ))    &  &  &  &  &  &  &  &  &  &  &  &  & &  & & &   & &   &    &  &  &  & & & & & , & &.21 & & &  & & & & 2       &  &  &  &    & & &   & &   & &  &   & & &   & &  & & &   &   & &&-   & & &-    & & &  & &  & ,  &  &,2  &  &  &  &  &  &   & & & & &    &  &   &      )   )   )   )  )  ) &  &   &  &  &  & & & & &  &  &  &  &     &  &                 &   & &- &   &) **  &     &   )  &    &) *   &) *    &,   & &   & &  & & & & & &2 &   &   & &&-  &     &   & &    & &  , &   &) **  2 )   &  & & & &   )   &) *    &,   & &   & &  & & & & & &2 & & ,21  & & 221 & & & & & & &   & & &  & &-  &  & &  &  & , & &,2  &  &  &  &  &  &   & & & & &    &  &    )   )   )   )  )  ) &   &   &  &  &  & & & & & &  &   &  &  &     &  &                      & &   )  &  &  &  )  )    &   & &   & &  & & & & & &21   &   &  & &    &    & & &   & &   &    &   &   &   &   &   &   &   &         &   &   &       &   &   &                                                                                                                                                                                    &&             && &   &   &   &   &   &   &   &    * * *)    &* &* &* &* **   &) *  ) *)* ))  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &         &  &    &              )  )   & & &    &  &       &  &     &      & & 2   & &    &  &       &  &     &  & & & & & &-   &    &  &       &  &     * * *)))    &* &* &* &* **   &) *  ) *)*  ))  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &      & &  &              )  &) *  ) *)* )  & & & *))*    & & &  &      & & 2   & &  &  & & & & & &-   &                            &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &  &   &              &  *   *    *   & & &     &  &       &  &     &  &     &      & & 2   & &     &  &       &  &     &  &     &  & & & & & &-   &      &  &       &  &     &  &     * * *  )  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &  &   &               & & &  &      & & 2   & &  &  & & & & & &-   &      & &                 &   * * *  )  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &  &   &               & & &  &      & & 2   & &  &  & & & & & &-   & &       &               & & &  &      & & 2   & &  &  & & & & & &-   &                    * * *  )  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       & &  &               & & &  &      & & 2   & &  &  & & & & & &-   & &           &              &  *   *    *   & & &  &      & & 2   & &  &  & & & & & &-   &                    * * *  )  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &   &  &              &  *   *    *   & & &  &      & & 2   & &  &  & & & & & &-   &                    * * *)  )  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &         &  &    &              *  *   *   & & &  &      & & 2   & &  &  & & & & & &-   &                & * *)))))))))  &     &*  &*  &*  && *   && *   &&    &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &  &   &                & & &  &      & & 2   & &  &  & & & & & &-   & &       &                & & &  &      & & 2   & &  &  & & & & & &-   & &       &               & & &  &      & & 2   & &  &  & & & & & &-   &                   !    &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       & &  &                & & &  &      & & 2   & &  &  & & & & & &-   & &            &                & & &  &      & & 2   & &  &  & & & & & &-   & &         &               & & &  &      & & 2   & &  &  & & & & & &-   &                   !    &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       & &  &                & & &  &      & & 2   & &  &  & & & & & &-   & &            &                & & &  &      & & 2   & &  &  & & & & & &-   & &         &               & & &  &      & & 2   & &  &  & & & & & &-   &                   !    &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &  &   &                & & &  &      & & 2   & &  &  & & & & & &-   & &       &                & & &  &      & & 2   & &  &  & & & & & &-   & &       &               & & &  &      & & 2   & &  &  & & & & & &-   &                   !    &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       & &  &                & & &  &      & & 2   & &  &  & & & & & &-   & &            &                & & &  &      & & 2   & &  &  & & & & & &-   & &         &               & & &  &      & & 2   & &  &  & & & & & &-   &                   !    &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &  &   &                & & &  &      & & 2   & &  &  & & & & & &-   & &       &                & & &  &      & & 2   & &  &  & & & & & &-   & &       &               & & &  &      & & 2   & &  &  & & & & & &-   &                   ! !" & & & & & & & &))))))))))))))))))))))))))))   &  &  &   &  &  &     &    &                          &   &    &    &   &    &    & &    &   &   &   &    &   &   & &   &   &   & &   &   &   & &   &   &   & &   &   &   & &   &   & &  & & ,   &   &  &  &.21  &  &  &) *  * * * * * * * * * * * * * * * *  &)*   &  &  ) )  ) )   & &*  & &*  & )                               & & 2    &   *   *    &   &     *   *      *    *   *    *           *   *      *    *   *    *           *   *      *    *   *    *        & & 2 ) ) ) )    & ) )  ) )  ) )  ) )  &  *      &  *      *      &  *      &  & &  &* ) &* ) ) **      ) ) & &  &* **     & &  &* ) ) ) **     ) ) ) **   & &   &   & &  &* ) ) ) **   & &   &     & &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &   &     &     &     & & &   &  &   & &     & &   & & &-   &  )  )**  )*  &     &   &                              **   &      **   &      **   &  *   *   &  &  *   *       * *         *   *   &  &  * &     &     &       &     &     &                   &  *   *   *      &     &    &                       & & & & & & & & & &   &  &  &   &  &  &  &  &  &  &  &  &  &  &  & & & &  &  &    & &  &  &  &     & &  &  &        &  & & &    &   &   &  &      &  &    &              & &  & &  & &    & &-    & &  &   ,  & , &  &   & &    &   & && &-   &  & &   &    & &   &  & & &          &  & & &   ,.  &      & & & 2 &   & -   &  & &  ,  &   &   &  & &   &  & & &        & & &   ,  &        & & & ,   .2  &      & & & 2 2  &  &  &                          &  &  &     &  &  &     &  &  &    &   &  &  &     & &  &  &   & &   &  &  &   & &   &  &  &   & &   &  &  &  &   & &   &  &  &   & &   &  &  &  &   & &    & &  & 2  &  &  &  &  &   &  &   &   & &   &  &   & &   &   & &   &  &  &   & &   &   & &   &  &  &   & &   &     & &&-   &     & &   &  & & &          &  & & &   ,.  &      & & & 2  &,  &, ,   & &-  &  ,  &                               &              &                &   &    &   &    &   &  &       & &  &   & &    &   & && &-       &  &   &  &  &  & &  &   & &      & & 2    & & ,  &  , &   & & &  && , 2     &2  &          &  &  & &  &   & &      & & 2    & &   &  , &   & & &  && ,   &2     &        &   &  &  &  & & &    & &   &  &  &  &  & & & &    & &   &  &  &  &  & & &    & &   &  &  &  &  & & & &    & &   &  &  &  &  & & &    & &   &  &  &  &  & & & &    & &  ,  &  &  &  & &  &   & &      & & 2    & &   &  , &   & &  & & &&-    &     &        & 2  & &   & &-   & & &  , ,  & ,   ,2  & &  ,.1 &  &  &  &  &   &   &  &   & &  &  &   & &-   &  & ,  &      &   &  &  & ,.  &  & ,  &      &   &  &  & & 221  &      &     &    &    & &  &      & &  & 2  & & & & & &)))))   &  &  &  &  &   *  *  *  )   )   )    ) *    ) *    ) *             ) )     ) )     ) )      &  &  &   &  &     &  &''      &  & & &   & &-   & &    &   ,      & & &   & &-   & &  ,  &. &   & & &  0                     &       &        &         &    &&&  &  &   & '    &  &&  & '     & &  &&    &         & &)   *  &  & &  &&  &*  *    &  *  & &  & &  &*  *    &  *  &  & &  &*    & &*   & & &  &      & &    & &&     &  &        & & &  &     &                          & & & ,  &.   &))))   &  &       &    &  &      &  &  &   &  & )     &   &  &   &    &  ,    , &  ,    **     **     **  **   2  & &  & , . )   &*    &   &      &     &  &  &     &   &  & &  & 2  &))  & &   & &-  & &   &   &              & &  & &   &   &              &* &*   &*        &    &  &  &      &  & &  & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &     &  &    &  & & &    ,. &  &   & &&     &  &        & & &  &     &                          & & & & ,  &.  & &    & &   & &  & & &-     &  &   &  & & &         & & & &    ,.  &     & & & 2  &  & & & 2  & &   &  &  &    & &   &  &  &   &  &  &    & &                          &     &  &            & -    & &  & 2 ))   & &     &     &    && &    &  &*  & &  & &   &  &   &  &  &     &  *   )   &     &  &            & -     &   & & &   &   &   &  &  &   &  &  &     &  *   )   &     &  &            & -   &  & & & 2 &       &)))))   & &     &   &    & &  &   & &    && &    &  &* &* &* &*  & &  & &   &  &   &  &  &     &  *   )      *   &     *   &     *       &      &  *    *       *     *     *   &     &  &            & -     &   & & &     &    &  &   &   &  &  &   &  &  &     &  *   )      *   &     *   &     *     &    &  *    *       *     *     *   &     &  &            & -   &  & & & 2 &       & & &))))  & &   & &-   &  )  )**  )*  &     &   &                            **      &    **      &      **   &  )*   )  )  *          * )  )         *  *         & &*    ) ** )        **      &    **       *      *      &  *  &      &  *  &      * )      * )      * )       &   & & &-   &  )  )**  )*  &     &   &                              **   &      **   &      **   &  )*   )  )  *        * )  )      &     &  &    **      &    **        **      *      &  *  &      &  *  &      * )      * )      * )      &*                       *  *  *  *      &  *  &      &  *  &      * )      * )      * )      &))   &  &  &  & &     & &   & &  & &  &   & &  &   &  &  &   &   )   *    *  &  *      & *      & *       & &   &    & &                & &     &     *       **     &    &*   &   **    *  ) ) &  & &  & &  &  &   &  &  &        &    *       &    *   &     &  &            & -    &   & & &     &    &  &   &   &  &  &   &  &  &      &    *     &    *   &     &  &            & -   &  & & & 2 &        & * &))   &  )    &   & &   &              &))*  * *      *  * *      *  &  & & 2   & *))   &  )     &              &))*  * *      *  * *      *  &  & & 2    &              &))*  * *      *  * *      *  &  & & 2    &  &              &))*  * *      *  * *      *  &  & & 2   & & *))))))))))))))))   &  &  &  )   )  ) )   *  &  *  &  *  *  *  *              ** ** **       &' &      *      *   &' &  )  *  &  *  &  * **           & &   &  &  &              &))*  ** **  *  * )   *  *   *   *              &  & & 2   & & * *)))))))))))))))   &  &  &  )    *  &  *  &  * )  * *    *    *   *  ** ** **       &' &      *      *   &' &  )  *  &  *  &  * ** * *             &  &              &))*  ** **  *  * )   *  *   *   *              & &  & & 2    &  &              &))*  ** **  *  * )   *  *   *   *              &  & & 2   & &)))))))))   &  &   &  & )))  &  &   &  &   &* !  &  &    )))  &  &    *  *  *  *   *   *  *)*   *  *  *  *  *  *  *    **           & &    &  &   & &) &*  !! )))   &*)  ) !  &)* *  &)* *  &)* *  &* ! )))  &* !     )))  !" & & &)))   &  &  &  &   &  &  & &     &    & &   &   &   &  &  &   &               &  & & & 2 & &    &  &   &               &    * & &**                  &  *  &  *   &*                      * & &**                   &**   *    *                     * & &**    &              &**   *    *                      ) &              ) &   & &    ))) & &   &   &   &  &  &   & &  & & & 2 & &    &  &   &  & &   &   &   &  &  &   & &  & & & 2 & &     &  &   &  &   &  & & &    &  &  &  &  &  &  &  &  &   &  & &  &  ,  & &  & &  &    & & &&-  & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &    &  &  &      &           &        &   & &   &  &   ,    &  &  & &   & &-    &  &     &     &  & & & & &   &   & & &   &     &     & & & ,  &. & &   &  &,  & ,.    &    &    &,21   &   &  &          &       21   &      & &   &              &,    ,                  2  &        &  & &    &   & &    &   & & & 2  &    ,.21 &    & & & &    &    &  &   &-         &  && & &    & & &  ,. &  &   & & & & & & &   &   &  &  &  &  &  &  &  &  &  &  &  & & & &  &  &    & &  &  &  &     & &  &  &        &  & & &     &  &    &              & &  & &  & &   & &-  &        &  & , & ,  & &   & &-      2  & & 2  & &    & &  &   & &    &   &  &  &      &             & & -      ,  & &   &   &  &   &   &   & & & 22  & & ,  &.21  & &   & & 2  & &  &       &   &  &   &  &      & & &  &      & & &  &      & &   , &,2 & &  &  ,  & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &      &   & & &  ,. &  &  21 &   &   &  &                & & &   &  &    & &-   ,  &&  &      , &  & & & 2 &   &  &    &   &  &    & &      &   &  &  &  &  &  &  &   &   & & & & &  & &   &  & &   &    &   & & & 2 &   &   &         &    &    &  & &  &   & &  & &  &     &  & ,   &  & ,       &       & & ,  &.21  & &    &   &     & ,    , &  2  & & 2   & & &   & &      & & 2   & &   &&  , &  & &  & & &&-   &      &  &    &    &    &    &    &    &   &   &   & &  , 21  & &  ,.1 &  &    & &  && & &  &    &   & & & 2 && & &   &   &  &   & &-  && &  & & & 2 && & &   &   & &  & &  & & & 2 &   &   &   &  & & & 2 & &   &   &  &  &  &   &    & & & 2 &  &  &  &  &  &  &    &    &    & &   & &  &     & & & & &  &   &&  & & ,  &. 21  & & 2  &   &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  & &          &    &    &       &  & & & & & * & & &))   &  &  & &  ) ) ) )  ) ) )  )  ) ) )  ) ) ) ) )  ) ) )  )  ) ) )  ) ) ) ) ) ) ) )  ) ) )  )  ) ) )  ) )  ) ) )  )  ) )  )  ) ) )  )  &   &  &   &  &  &  &     & &         &      & )                               )) )******* -******  &  & & 2 &   &* &        & & &* )        &   &* &        & & &* )      &    &   &* &        & & &* )      &      &  &  &  &  &     & &         &      & )                                 )) )******* &-******  &  & & 2 &   &* &        & & &* )        &   &* &        & & &* )      &    &   &* &        & & &* )      &     &     &     &  &  &  &  &     &   &  &    &     &   &  & &   &     &  & &   & &  & & 2  &     &   &  &      &  &     &     & 2  &  &    &  &  & 2  &   &  &    &     & & & & & & & &)))))   &  *    * &*    &*    * &*    &*    * &*    &*    *  *  *     & *  &   & *  &   & *  & )*** ,  & & 2    & *  &   & *  &   & *  & ***  ) ,  & & 2 21  &  &  &  & &  &   & &      & & 2    & &   &  &   & &  & & &&-    &     &          & & & & & & & &)))))))))))))))))))))))))))))))))))))))))   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &   &  &  *   *   &  *   *   &  *   *  **     *  *   *        &    *  *  *         *    *    *   &  )  *    &-        &      &    &  *   &  *   &  *    &  )  *    &-        & & & 2 &     ) ) ) )  )) ) ) )    & & &     &  *   &  *   *    *   )  ) **      &-   & &       &-      *- )   ) )   &  *   *          *-     &-   & & &  , .  ,      ,.    &-   *  *            ,.   ) ) ) )  ) ) )21    *-   & &  &  &  & & &   & ) &*  ) **  &   &  ) **  &   &   &     &         &      &    &  &  && &  &   &  &   &  &  &  &  &  & &   &   & & &  & &  & & & & & & & & & &     &  & &&  &  &   &  &  &  &   & ,  &    &     &  & &  &  ,.     &  &21 &              & &   &   & & &  & &  & &  & & & &  , & & & &  , &   & & & & ,   & &&    & ,.  21 & &  &&  & &   &  &   &     &  &    , & &      &,  &   , & &    &  &  &     &  &  &      &2    &            &     &                       &  &     &  &        &  &       &  &*  &*      *-    *-       &   *   *   * *        & & & 2                 *   *   *            )           , )     )))  )    , *)*  )     )  )        )         ) )      2  &    &  &  &  &  &     &  &*        &*                     0                       &   &        &  &  & & & 2  &  & & & , .     &     &          &   &  ,  &   &  & &           &  &  & & & 2        &     *    *  &    &    &    &    &    &    & & 2 )    &  && & &*          &    &  &&  &  &  &  &   &*   & &  &  &  &  &  &  &  &  &  &  &  &  &   &*     &*  &*   & &  &*        & &  & & & & & &  &  & ) &*  &*                     0                          *  *  * **            &  & &     & &  , & &  ,      &   &2 &   &   &     &** ,   &** ,   &** ,    & &      & &      ,2 & 21    &  & &  &      **       **       **   & &  & & & 2  &  & & & , &  & & . 21 &   & & & &     &  & &*  & &*   & &  &   &  &  &  &  &  &  &  &  & &   &  &  &  &  &   &   &    &   & &  &  &   &  &  &  &  &  &  &  &  &  &  &  &  &  &  &     &*  &*   & &  &   & &*         & & &   & &  , &  &  , & &*   *  , & &*   *  , & &*   *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  &  *  ,  ,     &              & & &  ,   . 2 &   &*                      0               *  *  * **               &    *  & &*  )  &  &*  ,    *   , )  &  &* )  2 &   &*                &   **     &   **     &   **   & & & & ,  .  &  ,  &  &   &    *  & &*  )  &  &*  ,    *   , )  &  &* )  2 &   &*                &   **     &   **     &   **  &    **        **        **      & & 2   )    )    )  2  &      **       **       **   & & & 2  &*   &*           &*          0               *  *  * **          &*                   **       **       **   &  & & , &*                   **       **       **   &  & & &2  & &  &   & & & , & .21 &  &   &*  &*   & & ,  &  &  &  &  &  &  &  &  &  &  &  &  &  &  & &   &*    & &*            & &*          0               *  *  * **          &*                   **       **       **   &  & & &  && &*                   **       **       **   & &  & & &  & &&      **       **       **   & & & ,  & &  &.  &*    & &*            & &*          0               *  *  * **          &*                   **       **       **   &  & & &  &&      **       **       **   & & & ,  & &  &.2 & &  & &  , & & 2 & &   &  & & & ,  &  &  &  &  &         2 &  &  & &   &    && ) &))*  &))   &  &  & &   &  &  ,  &2 &  &  &  &  &  , 2 &  &  & &   &  &  &    &  &  &  &  &                           &        &   )  ) )  *   *   *   &  & & &     ,   . ) ) )     *   *   *    *   *   *   & *   & *   & *    & *   & *   & *    & *   & *   & *    *   *   *   &  &  & & &      & &      & &                         &    &     &         &   *  &  *  * ) ) )                 ** & &    ''    ''  & &  & & &)*    & *  **             ) ))   ) ))   ) ))                      &           &   &  &  &  &  & & &   ,   .  &      & & & ,   & &.                                 &  & &  & &  & &     &     &     &     & &  &   & &  & ,  & &  & ,    ,   &2   &  &    & & ,     & & ,   & & ,  &  &           &    &    &  &   &       &   &     &   &     &     &         2 &  & & ,  &  &  &    &  &  &  &  &  &   &   &     &     &   &      2    ,    2 & & )  & )*  & & )  & )*     &   *  ) )  )) **   &     *  ) )  )) **   &    & & & 2  & & &   &  & &  &&    & &  &&    &  &  & &  & &  & &    &  & &    & &  &  & & & & &     & & ,  & & & ,  &  &.  &21  &     &  &   &  & & & &  ,  & & &   ,  & &  &. &   & & &  &  & &   &  &  &  &  &  & & &  &   &  &  &  &    ,  & &   &   , &  & & & ,.  & &       &     & &  &  & & & &  & & &&  & & &  & & & ,    &.  & &    &  &  & &    &        &    & &  &  &  &  &  &  & &   &    & &       &     & &  &  & & & &  & & &&  & & &  & & & ,    &.  & &    &  &  & &    &  21       &      &  &      &  &   &    & &&  &  &  &  &  &  &   &  &   &        &     &  &  & & & &  & & &&  & & &  & & & ,    &.  &    &  &  &    &    &   &       &   &   &    &&  &  &  &   &  &   &         &     &  &  & & & &  & & &&  & & &  & & & ,    &.  &    &  &  &    &   & &   &  &  &   & & &   &   &  &  &   & & & ,  &.  &  &   &  &  &,  & ,.  &21  &  &  &   &           &  &   &  & 2       &             &    &   & & & & &)))))))))))))   &  &  &  &  &  &  &  &   &    &  &    &  &  &     &   &  & &-  &  &  & &    & & 2    &  & &   &  &    &  &  &            &   &  &            &   &  &            &   &  &            &   &  &            &   &  &     &           &  &  &               &  &  & &  &  &  &    &  &  & & & 2  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &  &       &       &  & &  &  & & &  &&     &   &&  &&  & &   & &    & &  &  &   & &      &  &  &        & &  & &  & &  & &  & &  & &  &     &     &        & &     &    &   &   &     &   & &  & &  & &  & &  & &  & &  &     &     &     &    &    &    &   &   &    &  &    & &  & &  & &  & &  & &  & &  &     &     &     &    &    &    &   &   &     &   & &  & &  & &  & &  & &  & &  &     &     &     &    &    &    &   &   &   &  &*  &*  &*   &  & &)*   & &)*   &   & &)*   &    &    & & & 2  *   *   *   *   *   *    *    *    *              ** )                    & &    *    *    *              ** )                    **                                    & &              & & & 2    & &              & & & 2    &                     & &          , &          , &    &  &   & &    & &    & & -  &      & &  && &&&-   & & & &-   & &  & &-           & &  & &    & &  & &     & & &&&&-    & & ,      &  & &       &     & &   & & &   & & & &&  & & &  & & & ,    &.  & &    &  &  & &    &    &   & & & & & , &  &     & &       &     & &    & & & &   & & & &&  & & &  & & & ,    &.  & &    &  &  & &    & 2      &,2         &  &  &     &     &  & & & & &     &   & & &   &     &     & & & ,  &. & &   &  &,  & ,.  &     &     &   ,21   &   &  &          &        21 &     &  &                      &  & &    &   & &    &   & & & 2 ,21    & & , .  & &  & &  &  &  &  &  &    &  &  & & & 2  & & &  &&   & &  & &&   & &   & & &  &  & && & , & , &&  &  & &  &    &   & & & 2   &  & -  && & , , & & &     & &  &     &  & &&  &    && & &  ,  &  & &   , &    &   & & & 2 &  ,  &  , & & & 2 ,     & &&2 & & ,.1 &  &&   & &   &21 &    & &&   & & & &)))   & &     &  &       & )  *   *        &**  &         &**   &  &     &'  & & &  **   & & & & **   & & & &  &  &   && & &   &  && &  &  &  & &        &        &           &               & * & & & & & & &))))))))))))))))))))   &  &   &  &   &  &  &  &  &  & ) ) ) ) )   )    &  &                                    * )******* &&&-   &   )  *  ) , ) )                   ***  )   & &  &     **     **     **  **  & &  )) ) &) &)* **  ) ,  & &  & &  * - ,   &     *       *       *          &*   &*    &* 2  & &  & 2 ) ) ) ) )  ) &          )****** -  & &                                )) & & )* ****** &&&- ,   &  *  *  *  ) * &*  &*  &* 2   &  &  *   )  )     &  *   )  )   &    &  *   )  )   &     & ) ) )  &  *   )  )     &  *   )  )   &    &  *   )  )   &     &     &   &  & *   &  & *   &  & *   &  & *   &  & *   &  & *  *  *  *             **     & &  &  & **  **   & &    *   & &    *   & &    *  &  *   )  )     &  *   )  )   &    &  *   )  )   &     & &   &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  &   &   &    &    &    & &        &   &   &   &   &   &    &    &   &       &  & & &  &    &  & & &  & &  & &  &   & &    & &      &  &  &   &      &      &     &   &  &  &  &  &  &  & &   &  & & & & &-  &  &   &   &   &         &      &     &   &  &  &  &  &    & &  & &     &  & & &  &  &  &  &  &  & &   &&   & &  & &  &&  &&  &  &  & &  & &   &  & & & & &-  &  &  & & & &  &  &   & & &  & & &  &&  &&  & &   & & &   & &   &  &   &         &        &  &  &          &  &  &  &  &  & &     & & 2  &   &     & &   &&  &   & &  & & &&-    &      &  & & &  &  &&  &    &        & & & )))& &                  &  &    &    &  & &       &  & &       &  & &       &  & &       &  & &       &  & &       &  & &       &  & &       &  & &       &  & &       &  & &       &  & &       &  & &       &  & &       &  &     & &   &   &  & & &   &      &        &  &   & &&- )))&   & & &  & &      &  &    &    &    &    &    &    &   & & & & & & * & & & &   &&   &   & &  & &   && &    &     &&  &&  & &   & &   &  &     & &    &    & &   & & &    &&      &    &    & & )   &  & & &     &)*  * * *&   &       & & &   &  &     &&  & &   &       &  &  &            &          & & &&&&-  & &  &  &   &     &   &  & & 2  & &  &  & &  &      & &    &  &  &   &       & &  & & & & & & &  & &   & & , 2  &   & & 2 &         &  &  &  &    & &,   & &     2  &    & & &   & & &-  &      & & &&-  & & , &  & , 2  &   & & 2  &  & &  & &     &  & & &    & &  & &   & & &      &    &  &    &  , & & & &     , &    &  &    &    2 &         &   &   &  & & & && & &  & & & & &  & &   & &    &  &   & &  & , &  & ,    &  && &    &      && &      &&  &  & && & & & &&    ,2  & &  ,.  & &    &  &   & &  & , &  & ,    &  && &    &      && &      &&  &  & && & & &&    ,2  & &  ,.21 & &  &             & &  &       &  &   & &  &  &  &  &    &  &   &         &  &         &  &           &  &  &    &  &   &         &  &         &  &     )   &   &  &  &                &        & &  &  &  &  & && & & & & & & &    & &       &)*  )))& * * *&        &   &  & &  &  && ,  & & & & + & & &   & &      & & 2   & &   &&  , &  & &  & & &&-   &   &  & &  &  &      &  & & & 2   . &       & & & &    & &  & &  & & & ,  & & &   ,. &   &  & & &   & &  & &  &      &  & & & 2  & & &     & &  & &  &      &  & & & 2  & & &    ,.      &   &  &  &   &  &  &  &  &  &  &  &  &  &  &  &     &  &&  ,  & & &  , &    ,  &  & &&  ,  &  & &&  ,. &    &   &  &  &  &      &  & & & 2 &   &  &  &      &  & & & 2 &     & &  & &  &      &  & & & 2  & & &    ,.  &    &  &  &      &  & & & 2  & &   & &   &  &     & &    &       +  & &   & & &    &&       +    &    &    & &      + &  , & &   & '     &   &   &  &        + &  &       +  &  & &  &   & & ,  & &  &  & &  &  & & &  ,. &    & & &  & &  &      &  & & & 2  & & & 2   21 &     &&  ,  & & &   , &   ,  &  & && ,  &  & && 2 &  & -  ,  &  &  &  &. & & &   & &      & & 2   & &   &&  , &  & &  & & &&-   &   &  & &  &  &      &  & & & 2    21 &     +      + & &   &   & & &  &       +       &     &  & + &   &    &        &     &&  &&  &        +   &       +      +.1 &  &  &  &    &      & & &  & & &   &    &   & & &  &       &  & & &  & &   & & 2  & &      & &     & & &   &   &   & & &  & &    &    &  &  & & 2  & &    &       &       & & & & & &)* *  &  & &  & & & & &   &   &  &  &  &    &      &  &  &  & & &-        & & & 2 &       &  &  &  &  &&  &  &    & &    &    ,!  &&  ,!  &&  ,!  && ,     ,!  && &    &     && ,  & & & 2  ,!  && &    &     && ,  & & & 2  ,!  && &  ,!!,!  &&  ,!        & &,!  &&  ,!  &&  ,!  &   &    &  &  & & & 2  && &&      & ,   ,!  &&  ,!   ,! &,  & & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &       ,!"2 & & &   & &      & & 2   & &   &  , &  & &  & & &&-   &   &       21  & & &  ,.1 &  &  &   &  , ,  & 2 &     &    &  &         &   &     & &     &                  & &    & &  &  &  & &          &   &   &          &    &   &   &   &     &     &   & &   & &   &   &     && &   &   &   &   & &   &     & & & & & &)* *  &  & & & &     & & &     & & & &  & &  & & &  & &  &,  2  &        &   &   & & &        & & & -        & &    &  &  & &        &   &      &   &  &    &     &   &   &     &     &      & & & & & & & &&     &&  && &      &&  &   & && '   & &  &&   && '   &  &&   &     & && &   & & &            & & 2     & & &  && 2  &      & & ,  & &    ,. &   &    &  & & & & & & &   &   &  &  &  &  &  &    &  &  &  &     &      & &   & , &   &  , &   &   ,  & & 2 &  &   &                                 &    &   & &  &   & &      & & 2    & &   &&  , &   & &  & & &&-    &     &  & &                                &   & &  ,. &  &      & &   &  &      & &  &    & &   &  &  &  &  &     &  &   &   &  ''   ,  &  &     ,  &   ,  &  &  ,   &  &  ,. &    &     &   & & & &  &                     &    &   & &   &   &  & &  & & & 2  &  &  &  &   ,  & & & & & &&    &  , 2 &    & & &  &  & & & &&  & &  & & &     & &   & &  & &  & &   &       &    & &    &  &   &  &    &  & &   &  & &  & & &  , & &   &  &  & &   , &  ,.       &  &  & &  & &&  & & ,  & 21 &   &  ,  &  & &       &    &   &   & ,  & &  & ,   &  & &   &  &  & ,       &   , .21  &  & &                              & & & 2     &   2  &  & & &  & & &))   &  &  &  &  &  &  &  &       &   &  & & &   &  &  &  &  &  &  &  &  &  &  &  &      &   &  &  &   &     &  & &  & &  &   & &   & &    &   & &  & &  & &  & &   & &  &  &   &  &  &  & & &  &  & & &-   &  &  &  & &  & & & & , & &  &  & & & & ,  &  &,  &  &  &  & & &  &  &  &  &2  & & & 2 & &   & &      & & 2 & &   &&  , & & &  & & &-      &    & &  & &  &  & & &*  & &) *     &  & &*        )  )  ) &  &    )  )  )  )*  &  &  &  & &**  &*  &    &      &    & &     & &                        &    &      &     &  &  & &  & &  &   &     &  &  & & &    &' ,  & &    & & ,.     21    &  & &  & &    &  &       &   & & &   &  &  & &  &  &  &  &      & &   &, &   &, &   & ,  & &    & & ,.      21 &    &   & ,  & &   & &*  & &*    &*            &      & & &**       &      & & &**  &  &  ,2  &       &  &   &  & &  &     &&-        & &  & , .   & & &    , .1 &  &    &  &  & &     & & ,.  & &   & & &   &  & & &    & &-      &- ,   2  & &    &   **   & &    &   **   & & & 2   &  &  & &     & & ,.   & &  &   & &   &   &   & **   & & & 2     &   & & &  &  &     &      &)))   &  &  *   &  *    *      &  * *    *   *   *    ***      &  ***      &  ***                      *      &    &&   &  &   &  & &  &   &  &  &  &  & **  , & ** & ,  &   &  & & & & &  &   & &    & &  & ,  &** ,  & &  &,2  &    & &  &, &    & &  &21 &    & &  &   & &      & & 2    & &   & , &   & & &  && ,   &2     &  &          & & & 22 &    &&  & ,.1 21 & &      &  &  &   &        &  &  &   &   &     & &     &  &   &  &  && &  &  &   & &  ,!  ,!  ,!  ,!  ,!  ,!  ,!  ,!,!"21 )  & 2 &  &       ))   &  &  &  &       &     &   & &   &   &   &    &    &    &            &    &    & & &  )  ) ) ) ) ) ) )  ) ) ) ) ) ) )  ) ) )   & & & &     & &   & & &-  & &   &    & &   &      &  & &  &  &  &   &   ,!   ,!   ,!  ,!   ,!  ,!    ,!  ,!,!"  & 21 &   )   & & &      ,.       & &   &  &  &  &  &  &  &  &  &                &  &  &   & & &  &    &          &   &   &   , &   & &     ,      & &   , &  &    &  & & &  &  &* )) )*  &) *  & )  ) *)* ))     ))   & & )  &  **  )  &  **     & &   &  &)*  ) *) * *)*  & & ))  ))  * * * &  &   &  &   & &     ,  & & &    , & &   &    2 &  , &   &   &   ,  &  &   , &      &   , &  &    & & & &* &)) ) )*  &) *  & )  ) *)* ))     ))   & & )  &  **  )  &  **    &   & &   & & & , & &   & 2      ,      & & & &   &  & & - , &  &   *  *  *) &  & &  , & &  &  &   ,  & & & , & &   &  &  &   ,  & & & , & &   & 2    ,   2 &   &  &     &    & & & , & &   & 2     ,   2    ,  &  & &  ))  & &  ** ) &)* ))     &  & &    & &     &  & &    & & & &      & & & & ,    ,2      ,2  & &   & & & , & &   & 2      ,     21 &    , &     &   &  &  &  &   &     , &    , &  &   &  &   &  &  &     &     & &  &   *  *  *)   &   &   &  ,     & &  &  ))) &      ,  & & &      , & &   &      , &   ))))   )))  &  &      ,  & & &    , & &   &      ,2 &        & ,  &    & & &     &  &  & 21 &    &  & & &   & & &   , &  &   & &  * ,  , &   & &  ) , &    & & &  , ,2  & & & ,  .      &  &      & & & &  & &   & & &-  & &   &     & , & 2    &      &   &   &   &    & &   &  &       &    &          &   &      & & & &   &  &     & &   &  &  & & & &  &   &   &                                                                                    ,   &                                                        ,                            ,   &                                                        ,   &                                                                                    ,                                                                                                                ,2                                 & ,  &  '' ,.  &   & ,  '' ,.                                                                                      &  '' 21                                                           &    &  & &  ,  &  , .    & &   ,.  21  &  ''       &                                                          ''    &   &  ,0                              '' ,. 21                              &  ''   ,.  & &   &     &    &  &   & &  &   & & & &    & & &    &   &   &   & & & & &   & & &        &  & &     &  & &   & &   &         &  &  &         &      &              , 2   &  &  & &  &            &  & &  &            &  & &  &            &  &    &             & & & & & &   &  & &   &  &  &  &                                                &         &    &    &  &  &                                   &    &  &  &  &                                   &    &  &  &  &                                   &    &  &  &  &  &                                   &   &   &   &     &   &  &       &  &       &  &       &  &        & & &   &  & & &  & &   & &  &   & &      & & 2    & &   & , &   & &  & & &&-    &        &         &    & & ,. 21 & & & &    &   &   &  & & &           & &        & &   &   &     &  &    &  &    &  &    &  &     &   & & & &  &  &  &   &  &   & & & &  &  &  &   &  & & & & &     & & & & &  , & & & &  ,  & &   &  & &   &  & &   &  & &   & & & & & & &  , & & & & & &  ,  & &  ,. &  &   & &  &   & &  &   & &  &   & &   &  &    &   &      & &   & & & &     & &   &  &   & &  &  &    &  &&    &  &&  &        ,    &  &&  &    ,  &,    &  &&  &    ,    &  &&  &        ,  &  &       ,2          & & ,  &  '' ,.  &    && ,  '' ,.  &         &  '' 21          &    &  & &  ,  &  , .    & &   ,.  21  &  ''        &  &&  &      ''    &    &&  ,      '' ,. 21     &  ''   ,.  & *)))))))  &     &*  &*  &*  &*  &*  &&    &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &      & &  &               & & &  &      & & 2    & &  &  & & & & & &-   & &           &               & & &  &      & & 2   & &  &  & & & & & &-   & &         &               & & &  &      & & 2   & &  &  & & & & & &-   &                   !  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &      & &  &                & & &  &      & & 2   & &  &  & & & & & &-   & &            &                & & &  &      & & 2   & &  &  & & & & & &-   & &         &               & & &  &      & & 2   & &  &  & & & & & &-   &                   !    &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &      & &  &               & & &  &      & & 2   & &  &  & & & & & &-   & &          &               & & &  &      & & 2   & &  &  & & & & & &-   & &         &               & & &  &      & & 2   & &  &  & & & & & &-   &                   !  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &      & &  &                & & &  &      & & 2   & &  &  & & & & & &-   & &            &                & & &  &      & & 2   & &  &  & & & & & &-   & &         &               & & &  &      & & 2   & &  &  & & & & & &-   &                   !  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &      & &  &                & & &  &      & & 2   & &  &  & & & & & &-   & &          &                & & &  &      & & 2   & &  &  & & & & & &-   & &         &               & & &  &      & & 2   & &  &  & & & & & &-   &                   !    &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &      & &  &               & & &  &      & & 2   & &  &  & & & & & &-   & &          &               & & &  &      & & 2   & &  &  & & & & & &-   & &         &               & & &  &      & & 2   & &  &  & & & & & &-   &                   ! !" & &))))))))))))  &       &*  &*  &*  &   )   *   &  &   & &  &*  )  &*  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       & &  &              *   * *   & & &  &      & & 2   & &  &  & & & & & &-   & &        &           & & &  &      & & 2   & &  &  & & & & & &-   & &       &              *   * *   & & &  &      & & 2   & &  &  & & & & & &-   & &            &           & & &  &      & & 2   & &  &  & & & & & &-   & &      &              *   * *   & & &  &      & & 2    & &  &  & & & & & &-   & &             &           & & &  &      & & 2   & &  &  & & & & & &-   & &       &              *   * *   & & &  &      & & 2   & &  &  &  & & && ,  &2                &  )  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       & &  &              *   * *   & & &  &      & & 2    & &  &  & & & & & &-   & &            &          &*   & & &  &      & & 2   & &  &  & & & & & &-   & &        &              *   * *   & & &  &      & & 2   & &  &  & & & & & &-   & &         &          &*   & & &  &      & & 2   & &  &  & & & & & &-   & &      &              *   * *   & & &  &      & & 2    & &  &  & & & & & &-   & &             &           & & &  &      & & 2   & &  &  & & & & & &-   & &       &              *   * *   & & &  &      & & 2   & &  &  &  & & && ,  &2                &  )  &*  &*  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       & &  &              *   * *   & & &  &      & & 2   & &  &  & & & & & &-   & &        &           & & &  &      & & 2   & &  &  & & & & & &-   & &       &              *   * *   & & &  &      & & 2   & &  &  & & & & & &-   & &            &           & & &  &      & & 2   & &  &  & & & & & &-   & &      &              *   * *   & & &  &      & & 2    & &  &  & & & & & &-   & &             &           & & &  &      & & 2   & &  &  & & & & & &-   & &       &              *   * *   & & &  &      & & 2   & &  &  &  & & && ,  &2                 )  &*  &*  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       & &  &              *   * *   & & &  &      & & 2   & &  &  & & & & & &-   & &        &           & & &  &      & & 2   & &  &  & & & & & &-   & &       &              *   * *   & & &  &      & & 2   & &  &  & & & & & &-   & &            &           & & &  &      & & 2   & &  &  & & & & & &-   & &      &              *   * *   & & &  &      & & 2    & &  &  & & & & & &-   & &             &           & & &  &      & & 2   & &  &  & & & & & &-   & &       &              *   * *   & & &  &      & & 2   & &  &  &  & & && ,  &2                  *  *  *  &  )  &*  &*  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       &  &   &               & & &  &      & & 2   & &  &  & & & & & &-   & &       &              *   * *   & & &  &      & & 2   & &  &  & & & & & &-   & &       &           & & &  &      & & 2   & &  &  & & & & & &-   & &       &               & & &  &      & & 2    & &  &  & & & & & &-   & &          &              *   * *   & & &  &      & & 2   & &  &  & & & & & &-   & &            &           & & &  &      & & 2   & &  &  & & & & & &-   & &       &               & & &  &      & & 2    & &  &  & & & & & &-   & &           &              *   * *   & & &  &      & & 2    & &  &  &  & & &&   ,  & &  2          &           & & &  &      & & 2   & &  &  &  & & && ,  & &2          &               & & &  &      & & 2   & &  &  &  & & && ,  & &2         &              *   * *   & & &  &      & & 2   & &  &  &  & & && ,  &2                &  )  &*  &*  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       &  &   &               & & &  &      & & 2   & &  &  & & & & & &-   & &       &              *   * *   & & &  &      & & 2   & &  &  & & & & & &-   & &       &           & & &  &      & & 2   & &  &  & & & & & &-   & &       &               & & &  &      & & 2   & &  &  & & & & & &-   & &       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        &*   & & &  &      & & 2   & &  &  & & & & & &-   & &       &               & & &  &      & & 2    & &  &  & & & & & &-   & &           &              *   * *   & & &  &      & & 2    & &  &  &  & & &&   ,  & &  2          &           & & &  &      & & 2   & &  &  &  & & && ,  & &2          &               & & &  &      & & 2   & &  &  &  & & && ,  & &2         &              *   * *   & & &  &      & & 2   & &  &  &  & & && ,  &2                &  &*  )  &*  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       &  &   &               & & &  &      & & 2   & &  &  & & & & & &-   & &       &              *   * *   & & &  &      & & 2   & &  &  & & & & & &-   & &       &           & & &  &      & & 2   & &  &  & & & & & &-   & &       &               & & &  &      & & 2    & &  &  & & & & & &-   & &          &              *   * *   & & &  &      & & 2   & &  &  & & & & & &-   & &            &           & & &  &      & & 2   & &  &  & & & & & &-   & &         &               & & &  &      & & 2   & &  &  & & & & & &-   & &       &              *   * *   & & &  &      & & 2    & &  &  &  & & &&   ,  & &  2           &           & & &  &      & & 2   & &  &  &  & & && ,  & &2          &               & & &  &      & & 2   & &  &  &  & & && ,  & &2         &              *   * *   & & &  &      & & 2   & &  &  &  & & && ,  &2                 & &)))))))))))))))  &       &*  &*  &*  &*  &*  && )    &  *   *   *  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &  &   &               & & &  &      & & 2   & &  &  & & & & & &-   & &       &              &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &         &               & & &  &      & & 2   & &  &  & & & & & &-   & &       &              &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &              &               & & &  &      & & 2   & &  &  & & & & & &-   & &       &              &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &           &               & & &  &      & & 2   & &  &  & & & & & &-   &                   !  )   &  *   *   *  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &  &   &               & & &  &      & & 2   & &  &  & & & & & &-   & &       &              &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &         &               & & &  &      & & 2   & &  &  & & & & & &-   & &       &              &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &              &               & & &  &      & & 2   & &  &  & & & & & &-   & &       &              &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &           &               & & &  &      & & 2   & &  &  & & & & & &-   &                   ! )  &  *   *   *  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &  &   &               & & &  &      & & 2   & &  &  & & & & & &-   & &        &               &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &          &               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& 2   & &  &  & & & & & &-   &                   ! )  &  *   *   *  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &  &   &               & & &  &      & & 2   & &  &  & & & & & &-   & &        &               &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &          &               & & &  &      & & 2    & &  &  & & & & & &-   & &         &               &  *   *   *   & & &  &      & & 2   & &  &  & & & & & &-   & &           &               & & &  &      & & 2   & &  &  & & & & & &-   & &         &              &  *   *   *   & & &  &      & & 2   & &  &  & & & & & &-   & &          &               & & &  &      & & 2   & &  &  & & & & & &-   &                   ! )    &  *   *   *  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &       & &  &               & & &  &      & & 2    & &  &  & & & & & &-   & &          &              &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &         &               & & &  &      & & 2   & &  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& &  &  & & & & & &-   & &            &              &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &             &               & & &  &      & & 2   & &  &  &  & & && ,  & &2        &               & & &  &      & & 2   & &  &  &  & & && ,  &2                   ! )  &  *   *   *  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &  &   &               & & &  &      & & 2   & &  &  & & & & & &-   & &        &               & & &  &      & & 2    & &  &  & & & & & &-   & &          &               &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &          &               & & &  &      & & 2    & &  &  & & & & & &-   & &          &               & & &  &      & & 2   & &  &  & & & & & &-   & &          &               &  *   *   *   & & &  &      & & 2   & &  &  & & & & & &-   & &       &               & & &  &      & & 2   & &  &  & & & & & &-   & &      &               & & &  &      & & 2    & &  &  & & & & & &-   & &          &             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& & &-   & &           &               & & &  &      & & 2   & &  &  &  & & && ,  & &2        &               & & &  &      & & 2   & &  &  &  & & && ,  &2                   ! )  &  *   *   *  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &  &   &               & & &  &      & & 2   & &  &  & & & & & &-   & &        &               & & &  &      & & 2    & &  &  & & & & & &-   & &          &               &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &          &               & & &  &      & & 2    & &  &  & & & & & &-   & &          &               & & &  &      & & 2   & &  &  & & & & & &-   & &          &               &  *   *   *   & & &  &      & & 2   & &  &  & & & & & &-   & &       &               & & &  &      & & 2   & &  &  & & & & & &-   & &      &               & & &  &      & & 2    & &  &  & & & & & &-   & &          &              &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &           &               & & &  &      & & 2   & &  &  &  & & && ,  & &2        &               & & &  &      & & 2   & &  &  &  & & && ,  &2                   ! )  &  *   *   *  &  & & & &  &      & & 2   & &  &  &  & & & & &&-   & &        &  &   &               & & &  &      & & 2   & &  &  & & & & & &-   & &        &               & & &  &      & & 2    & &  &  & & & & & &-   & &          &               &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &          &               & & &  &      & & 2    & &  &  & & & & & &-   & &          &               & & &  &      & & 2   & &  &  & & & & & &-   & &          &               &  *   *   *   & & &  &      & & 2   & &  &  & & & & & &-   & &       &               & & &  &      & & 2   & &  &  & & & & & &-   & &      &               & & &  &      & & 2    & &  &  & & & & & &-   & &          &              &  *   *   *   & & &  &      & & 2    & &  &  & & & & & &-   & &           &               & & &  &      & & 2   & &  &  &  & & && ,  & &2        &               & & &  &      & & 2   & &  &  &  & & && ,  &2                   ! !" & &   &   & &   & &  &      & &)))  & *)  &*   *      &  *      &  *     &     *      *      & ) * *   & &)))   &  &  & *)  &*   *      &  *      &  *     &    *     *      & ) * *            & &  & &     & &      & & 2   & &   &  &  & &  & & &&-   &   &      &     & &      & & 2   & &   &  &  & &  & & &&-   &   &     &   & &   &        & & &    ,. &       & &      &   &  &   &         &  &  2  & &   &    && ,  &  ,. &    & & &  &    & & ,  & & & ,. &   & &       &    & &&-    & & &   &   &  &    & & 2    21    &   &         &  &  2  & &   &    &&  ,  &  ,. &    & & &  & &  ,   &  &  & &    , . &   & &       & & &-  &        & & & ,   .     &     &  & & & &   &  & &- &   &    & & & &   & &    &   &   &  &     & & & & 2    &      & &  &   &   & &  &      &   &     &  &  &    &  &    &    & &  &     & & &  &   &   & &   &  &        &           &  &    &&  & &  & & &&      &     & & & & &  &   & & &   &   & & &   &  & 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  &  &  &   & &   &  & &   *, & &   & * )   & & &-     & -  &*,, &   &*, ), &    & * )   & & &-     & -  &*,, &    *,    &*, ), )2 &    *   &     &    *  * )  )*   ),2 & &          &   &   &&  & &  & & &&       & & & &)   &  &  &   & &    & * )   & & &-     & -  &*,, &    *,    &*, &   &  & &   &*, &   *, & &   & * )   & & &-     & -  &*,, ), ), )2 &    *   &     & &    * & &          &   &   &&  & &  & & &&       & & & &  &   & &    &&, &    * ,    &, &   &  & & &   &&, &   &, &   * , , , 2 &      &   &     &    &   & &          &   &   &&  & &  & & &&       & & &  &   &   & &    *&,    &&, &   &  & &   &&, &   *&, & &   &, , &    &, , 2 &  &  &    &  &   & &      &&  & &  & & &&       &   &   &&  & &  & & &&       & & & &  &    &  &  &    &  & & &  & & &  &   &   &    &&, &   &  & &   &&, &   *&, & &   &, , &    &, &    *&, , 2 &  &  &    &  &   & &      &&  & &  & & &&       &   &   &&  & &  & & &&       &  &    &    & &  &     & &  &    &     &  &  &    &  &  &  &    &  &     & & & &   &         &  &  2  & &   &   && ,  &  ,.  &  &      &  &21 &  &&  & &  & & &&    &         &  &  2  &  &   &   && ,  &  ,.21 &  &  &   &     &            & & & 2         &      & 2      &  &      &         &        &  &  &&  & &  & & &&   , 2    &       &      &    &     &  &     &  &   &   &   &&  & &  & & &&      & &  & &- &   &        &   & &    & & &-  &    &   & &  &    &  & , &.21 &   &   &&  & &  &   & &   &    & & ,  & & & ,. 21 & &   & &      & & 2   & &   &   & &  & & &&-   &   &   &       & &     & &  &    & ,  & & & ,. &  21 &    & &       &  & &    &   &  &  &   & -   &  & & &    &  &   &         & & & &    &   &  &   &         & & & &   ,.  &     & & & 2   & &  & &  ,   &  &  & , . &   & &       & & &-  &        & & & ,   .     &      & & &   &  & &  & & & & 2 &   &   &  &  &  &   & &&-     & & 2 & & & &  & & & & &  &  &   & &   & &  &    &  & 2 & &     &  &        &   & &    &  & &     &   &   &  &     & & & & 2       )))  &   &   &           * &******** &-  & & &   &  & &- &   &     & &    &   &   &  &     & & & & 2       &   &       &               & & , &.  &&     &&     && &   &   & & & & &    & & & & & & & & & & & & & & & & & & & & & & & &     &&       &   &    &   &  &  & &  &   & &      & & 2    & &   &&  &   & &  & & &&-    &     &  &   &   &        &  & & &)   &   & &   &   &   &    & &   &* &  * &   & * )   & & &-     & -  &*, )2   &  &  &  && &  *** &     &  &&  & &  *     &   & &  *** & &  &  &&     & &    & & &     &   &) &  &  &  &     && &  &      &   &  &    & & &  &    &   &)  &   & &    &   &   &&  & & & 2  &     &   &  &   &  & &  &        & & & 2   &   &             &             ,2   &   &   & &  &    &  &  & & & 2     ,2   &   &   &     &   & &     &   &  &      &  &     &     & 2  &     &     &   &  & &   &     &  &  &  &   & &&-      & & 2  &     &   &  &    &     &    && &  &  &  & &  & & 2      && &   & && &  & 2 , &  & && &  &  && &  &  &  & &  & & 2  &      & & &  &   & &  &  &  &  &   & '' , & &  ,.21 && &   &  & &  & &    &    &    &&   & & & 2 &   & &  &  & &  &  &    & &  & &     &    &   &'  &' & &  &) '  &  &' ***    & &   & &   & &   & & &     . &&  & & &  && & &  )*  & &&   & &&  & & &&  & & & & & & &  & &&' & &   & &       &    &  &  & ''      &        , 2           & & && & &&  & & & & &   &   & &  & & & & &  &  &  & &       &    &   &    &       &     &   &  &    &   &  &    &     &  &  &  &  &                    & & &   & &  &        & &  & 2         & &   & &  &       &     &     &   &&  ,      &     &    & & 2 &     &   &   &   &   &   & &      &                &     &          &  &   &   &  && && && & &                &     &     &    &        &  &          & & 2 & & & &      & &            &    &   &  &    &   &  &    &      & &)))))  & &   &   & & &  &  &  & &  &  &  ''   &  &  &  &  ''     ,    ''''   ,    & 2 &    &  &  &  &  & &  & &  &   &  &  &   &              &&      &    ,2       &    &  &  &  &  &  & & &     &    &   ''    ''   & & & &  &    &   &  &   &       & & &-      &  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+++++++—+ė+Ɨ+ȗ+ʗ+++++++++++++++ۘ+ޘ+++++++++++++̙++ę+Ǚ+˙+ޙ++++++ț+˛+ϛ+ۛ+ޛ+++++Ȝ+՜++++++++++J&++++++++ŝ+ȝ+ޝ++++++++++ž+О+ޞ++++++++ş+ӟ+++++++ +++++++++֝+ٝ+ݝ++++++++++++ ++++++++++JȠ+͠+Ҡ+נ+۠++++++++++++š+֡+ߡ+++++++++++++++++++++++++ ++++ݧ+++++++++++Ƣ+آ++++++Ť+ؤ+++++++++++++++++++++++++++++++++ä+Ĥ+Ф+Ӥ+֤+פ+ݤ+++ +++++++++++++å++ѥ+ҥ+ӥ+ԥ+ե+֥+ݥ+++++++++++++++++զ++++++++++++++++ӧ+ۧ+ܧ++++++ JS+è+ƨ+ɨ+ǩ+Ũ+ ը+ݨ++++++++ۨ+ܨ++++++++++++++++++ĩ+ũ+Ω+ѩ+ة+++˩+ͩ+ԩ+++++++++++++++++++ê+ƪ++++++ƫ+ѫ+۫+++++++++++++++++++ ++++++++ª+ ת+++++++++ɬ+Ǭ+ +++++­+ͭ+ح+++++߬++++++Ů+ʮ+++++++++ɯ+ү+ۯ++++++̴+Դ+ܴ+++++̮+ή+Ю+Ү+Ԯ+֮+خ+ڮ+ܮ+ޮ++++++++++++++ͯ+֯++++++İ+ΰ+++++++ò+Ͳ+ٲ++++++Ĵ+˴+ٰ+ܰ+++++++++++++++Ʊ+DZ+ױ+++++ȳ+++++++ij+dz++++++س+++++++++++++++ʵ+ϵ+Ե+׵+ص++ȵ+ɵ+ߵ+++++++++++++++++++++ʶ+Ӷ+ܶ++++++++++++++++++++++·+ͷ+з+׷++++Ӹ+ڸ++++++++++++++++++++++++++++++ȸ+Ѹ++++++++++++++++͹+++۹+++׹+ڹ+++++++++++ +++Ⱥ+޺++++++++++ֺ+ݺ+Һ+պ++++ 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,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,J,,,,,,,,,,,,,,,,,, ,,,,,,,,,,,,, ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, ,,,,,,,,,,,,,,,,,,,,,,, ,,,,,,,,, ,,,,,,,,,,,,,,,,,, ,,,,,,,,,,,,, ,,,,,,,,,, ,,,,,,,,, ,,,,,,,,,,,,,,,,,,,,,,,,,,, ,,,,,,,,,,,,,,,,,,,,,,,,, ,,,,,,,,, ,,,,,,,,,,,,,,,,,, ,,,,,,,,,,,,, ,,,,,,,,,, ,,,,,,,,, ,,,,,,,,,,,,,,,,,,,,,,,,,,, ,,,,,,,,,,,,,,,,,,,,,,,,, ,,,,,,,,, ,,,,,,,,,,,,,,,,,, ,,,,,,,,,,,,, ,,,,,,,,,, ,,,,,,,,, ,,,,,,,,,,,,,,,,,,,,,,,,,,, ,,,,,,,,,,,,,,,, ,,,,,,,,,,,,,, ,,,,,,,,, ,,,,,,,,,,,,, ,,,,,,,,,,,,, ,,,,,,,,,,, ,,,,,,,,,,,,, ,,,,,,,,,,,,,,,(,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,--,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, ,,,,,,,,,D,,,,,,,,,,,ف--ƒ-˃-ԃ-߃-------ڄ--------------Ć-ӆ-------ȇ-҇-܇---ވ---------Ѝ-Ս-܍------- ,,,,,,,,,,,,,,, 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Ӭ/լ/׬/٬/۬/ݬ/߬////////ĭ/˭///ǭ/ȭ/ޭ/ܭ//////////////î/ʮ/ͮ/ή/ܮ////////////ү/ѯ///ٯ/گ/ۯ////ð/ʰ/Ѱ/԰/ܰ////ݳ/////// //////////////ձ/ֱ/////ű/ı/ӱ/Ա/̱/ͱ/α//////////////Dz/Ƴ/γ/ճ/////////////////////////ʴ/Ѵ/ڴ////Ǵ//////////////Ƕ/ʶ/˶/////////////õ////////׵/////////////Ķ/ Ҷ/׶/////÷/ø/θ////ٶ/۶/ݶ/߶//////////·/Է/ط/////¸//////̸/͸/ڸ/߸////////////////// ///////////¹////չ/ӹ//////////Ǻ/˺/Ժ/ӻ/ػ/߻////˻///////ɻ/ʻ/»/û/Ļ///////////¼/ż/̼/׼////////// ////////// ////////Ž////Խ////////////̾/о/پ/////////////// ƿ/տ/ڿ////////////////// ///////////////// ///////////// ///////////// ///////////// ///////////// ///////////// ///////////// ///////////// //////////////////////// ////////////// ////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////// 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™ ę Ù ř ș ə ˙ ʙ Ǚ ̙ Ι ͙ ϙ љ ҙ ؙ י ڙ ܙ ߙ Ú Ś ǚ ʚ ɚ ˚ Ϛ К Қ њ Κ Ӛ Ԛ ͚ ֚ Ț ̚ ך ٚ ܚ ݚ Û ě ś › ț ɛ ʛ ̛ ͛ ϛ ћ қ ԛ Ǜ ֛ ؛ ܛ ݛ ߛ ۛ ٛ ڛ ƛ œ Ü ɜ Ȝ ˜ ͜ М ќ ֜ ל ՜ ؜ ٜ Ԝ ܜ Ӝ ޜ ĝ Ɲ ȝ ʝ ˝ ϝ Н ҝ ѝ Ν ӝ ԝ ֝ ם ͝ ؝ ɝ ̝ ٝ ܝ ݝ ۝ Þ Ǟ ž ɞ ̞ ͞ ˞ Ξ Ϟ ՞ ֞ Ԟ מ ؞ ٞ Ӟ ڞ ۞ ў Ҟ ݞ ޞ ߞ Ÿ ȟ ɟ ǟ ʟ ̟ ˟ Ɵ ͟ Ο ş П ӟ ԟ ֟ ҟ ן ۟ ܟ ޟ ٟ ğ à Ġ Š Ǡ ʠ ɠ ̠ Р Ϡ Ѡ Ӡ Ԡ ͠ Π ٠ ۠ ܠ ߠ ݠ ޠ ¡ ġ ơ ȡ ʡ ̡ Ρ С ҡ ԡ ֡ ء ۡ ܡ ߡ ޡ ¢ Ģ Ǣ Ȣ ʢ ˢ â Ţ Ƣ Ϣ Т Ң Ӣ ΢ ע آ ڢ ۢ ֢ ߢ ޢ ã ģ ƣ £ ǣ ɣ ̣ ͣ ϣ У ӣ ֣ գ أ ܣ ݣ ߣ ۣ ä Ĥ Ǥ Ȥ ٣ ڣ ɤ ̤ ͤ Ϥ Τ ˤ Ф Ѥ Ҥ դ ֤ ؤ Ԥ ٤ ʣ ˣ ң ޤ ݤ ܤ ĥ ǥ ȥ ʥ ˥ ¥ å ̥ ϥ Х ҥ ӥ Υ ֥ ץ إ ۥ ܥ ޥ ڥ ¦ Ħ Ŧ Ȧ ɦ Ʀ Ǧ ̦ ͦ Ц Ѧ Ϧ Ҧ Ԧ צ ֦ ٦ ڦ Ӧ ʦ ˦ ݦ ߦ § ç ħ Ƨ ǧ ʧ ˧ Ч ӧ ԧ ק ا ڧ ֧ ۧ ݧ ¨ Ĩ ƨ Ȩ ʨ ͨ Ψ Ѩ Ҩ Ԩ Ш ը ר ب ۨ ݨ ڨ ߨ © ĩ ũ ȩ ɩ Ʃ ǩ Ω ͩ ϩ ѩ ԩ թ ֩ ө ة ܩ ݩ ߩ ۩ ê ƪ Ǫ Ȫ ɪ ٩ ک Ϊ Ϫ Ъ Ӫ Ԫ Ҫ ժ ת ֪ ͪ ت ٪ ڪ ܪ ݪ ߪ ު « ū ī ǫ ʫ ˫ ȫ ɫ Ы ҫ ӫ ֫ ׫ ԫ ի ۫ ݫ ޫ ߫ Ĭ Ŭ ì Ƭ Ȭ Ǭ ¬ ɬ ͬ ά ̬ Ϭ Ѭ Ь ˬ Ҭ ʬ Ӭ ֬ ׬ ٬ լ ڬ ݬ ެ ߬ ܬ í ŭ ȭ ɭ ̭ ͭ ϭ ˭ Э ҭ ӭ ֭ ح խ ڭ ݭ ޭ ߭ ܭ ® Į Ů î Ʈ Ȯ ή Ϯ Ю ͮ Ү Ԯ ֮ ׮ ڮ ۮ خ ٮ ߮ ¯ į Ư ʯ ɯ ̯ ͯ ȯ ί Я ѯ ү ӯ կ ֯ ׯ گ ۯ ݯ ٯ ޯ ° Ȱ ǰ ɰ ʰ ̰ ˰ Ͱ а Ѱ Ӱ Ұ ϰ ְ װ ݰ ܰ ߰ ± ñ ű Ʊ ȱ DZ ɱ ʱ ̱ α б ѱ Ա ձ ұ ӱ ۱ ܱ ݱ ٱ IJ ² Ʋ Ų ò ɲ Ͳ Ȳ ϲ Բ ղ ֲ ز ٲ ۲ ڲ Ӳ ܲ ݲ Ҳ Dz в Ѳ ³ ij Ƴ ȳ ʳ ͳ γ ѳ ҳ Գ г ճ ׳ س ۳ ܳ ݳ ڳ ߳ ´ Ŵ Ĵ Ǵ ʴ ˴ ʹ δ ȴ ɴ Դ ִ ״ ߴ ޴ ݴ ܴ ڴ ۴ ش ٴ õ ĵ µ ŵ Ƶ ǵ ʵ ˵ ͵ ̵ ɵ ε ϵ е ҵ ׵ ص ڵ ۵ ݵ ߵ ¶ ö ƶ Ƕ Ķ Ŷ ̶ Ͷ ˶ ζ ϶ ж Ӷ Զ ֶ ն Ҷ ׶ ض ٶ ۶ · ÷ ŷ ȷ ɷ Ƿ ʷ ˷ ̷ Ϸ з ҷ ѷ η ӷ Է շ ׷ ܷ ݷ ߷ ¸ ø Ÿ Ƹ ĸ Ǹ ɸ ͸ и Ҹ ˸ ̸ ո Ը Ӹ ׸ ظ ָ ٸ ۸ ݸ ޸ ߸ ù ¹ Ĺ Ź ƹ ȹ ͹ й ѹ չ ֹ ׹ ع ڹ ݹ ޹ º ú ƺ Ǻ ź Ⱥ ɺ ˺ κ Ѻ Һ ׺ غ ֺ ٺ ں ۺ ޺ ߺ ݺ ̺ ͺ պ » Ļ ǻ Ȼ ̻ ͻ ˻ λ ϻ ѻ һ Ի ʻ ջ ׻ ڻ ٻ ݻ ޻ ߻ ܻ ۻ ¼ ļ ż ȼ Ǽ ̼ ˼ μ ϼ м Ӽ Ҽ ʼ Լ ּ ׼ ɼ ռ ؼ ۼ ܼ ڼ ߼ ý Ľ ½ Ž Ƚ ɽ ǽ ̽ ͽ ӽ ҽ ս ׽ ڽ ۽ ߽ ޽ ݽ ľ ž þ ƾ Ǿ ɾ ʾ ̾ ¾ ; Ͼ Ҿ Ѿ վ ־ پ ׾ ھ ۾ ܾ Ծ ݾ ߾ Ӿ ޾ Ŀ ÿ ƿ ǿ ȿ ˿ ʿ ¿ ̿ ο Ͽ Ϳ п ӿ Կ ҿ ׿ ؿ ޿ ݿ À Ā ƀ Ȁ ǀ ʀ ˀ ̀ π Ѐ ΀ ̀ ؀ ـ ׀ ڀ ۀ ր ܀ ߀ ހ ȁ Ɂ ǁ ʁ ˁ ā Ł ́ ΁ ρ Á с  Ӂ ԁ ؁ ف ہ ׁ ܁ ߁ ށ ‚ Ƃ ǂ ł Ȃ ɂ Ă ʂ ͂ ΂ Ђ ̂ т Ղ ւ Ԃ ׂ ؂ ӂ ق ܂ ݂ ߂ ۂ ƒ ă Ã Ń ƃ Ƀ ʃ ̃ ˃ ȃ ̓ Ѓ у Ӄ ҃ σ ԃ ΃ Ճ ؃ ك ۃ ڃ ׃ ܃ ߃ ރ ݃ „ Ą Ä ʄ ˄ Ʉ ̄ ̈́ Ȅ ΄ DŽ τ Ԅ Մ ӄ ք ׄ ҄ ؄ ф ل ބ ߄ ݄ ܄ ۄ … Å Ņ ą ƅ Dž ȅ ̅ ͅ ˅ ΅ υ ʅ Ѕ Ӆ ԅ օ Յ ҅ ׅ ؅ م ܅ ݅ ۅ ޅ ߅ † Æ ņ Ɔ Ɇ ʆ Ȇ ˆ Ά ͆ φ ̆ І Ԇ ӆ Ն ֆ ׆ ؆ ۆ ܆ چ ݆ ߆ ކ dž ц ҆ ń Ƅ Ձ ց Ň Ƈ ̇ ˇ · ч Ї Ӈ և Շ ؇ ڇ ܇ އ ˆ Ĉ ƈ Ɉ ʈ ̈ ˈ Ȉ ͈ Έ ψ ҈ Ո ֈ ׈ Ԉ و ш ڈ ݈ ߈ ܈ ĉ ʼn Ɖ É ȉ ʉ ɉ ˉ Ή Љ ͉ ҉ ։ ؉ ۉ ݉ Ċ Ɗ Ê Ȋ ˊ ̊ Ί ͊ ʊ ϊ Њ ъ Ԋ ֊ ӊ ؊ ۊ ܊ ފ ݊ ڊ ߊ ԉ Չ Ë ŋ Nj ɋ ˋ ͋ ϋ ы Ӌ Ջ ׋ ً ۋ ݋ ߋ Ì Ō nj Ɍ ˌ ͌ ό ь Ԍ Ռ ، ٌ ی ׌ ܌ ތ ߌ č ō Ǎ Í ȍ ˍ ̍ ΍ ʍ ύ ҍ Ӎ Ս э ֍ ٍ ڍ ܍ ؍ ݍ ߍ Ž Î Ŏ Ǝ Ɏ ʎ ̎ Ȏ ͎ Ў ю ӎ ώ Ԏ ׎ ؎ ڎ ֎ ێ ގ ߎ ݎ Ï ď Ǐ ȏ ʏ Ə ˏ Ώ Ϗ я ͏ ҏ Տ ֏ ؏ ԏ ُ ܏ ݏ ߏ ۏ  Ő Ɛ Ȑ Đ ɐ ̐ ͐ ϐ ː А Ӑ Ԑ ֐ Ґ א ڐ ې ݐ ِ ސ Ñ đ ő Ǒ ȑ Ƒ ʑ ɑ ϑ ё ӑ ԑ ב ܑ ޑ ߑ Ց ֑ ƒ Ȓ Ē ̒ Β В Ӓ Ԓ Ւ ֒ ؒ ْ ے ܒ ђ Ғ ߒ Ǔ ȓ Ɠ ɓ ʓ ˓ Γ ϓ Г ͓ ғ ԓ ؓ ֓ ߓ ޓ ݓ ܓ Փ ۓ ” Ô Ŕ Ĕ Ɣ ǔ Ȕ ˔ ̔ Δ ͔ ʔ ϔ Д є Ӕ ؔ ٔ ݔ ޔ • Õ ĕ ŕ Ǖ ȕ ʕ ˕ ̕ ԕ Օ ӕ ֕ ו ؕ ە ܕ ݕ ڕ ߕ – Ö Ė Ɩ ˖ ̖ Е ѕ Ԗ ֖ Ӗ ؖ ږ ۖ ܖ ݖ ߖ Ж і × ė — Ǘ ˗ ̗ Η ϗ ŗ Ɨ З җ ӗ ԗ ݗ ߗ ܗ ۗ Ø Ƙ Ř ǘ ɘ ʘ ̘ ͘ ˘ Θ Ș Ϙ ј Ԙ ژ ۘ ݘ ܘ ٘ ޘ ߘ ؘ ™ ř ƙ ș Ǚ ę ə ʙ ˙ ͙ ֘ ט љ ә ҙ ԙ י ֙ ܙ ߙ ؗ ٗ Ú Ś š ǚ Ț ʚ ̚ ͚ К Ӛ Ԛ ՚ Қ ך ښ ۚ ܚ ߚ ޚ ؚ ٚ Û › ě ś ƛ ț ɛ ˚ Κ Ϛ қ ԛ ћ ֛ ٛ ۛ ؛ ݛ ߛ Λ ϛ œ ǜ Ɯ ʜ ̜ Μ Ҝ Ԝ ќ ֜ ؜ ۜ ڜ ܜ ߜ ݜ ޜ Ý ĝ ŝ  ǝ ɝ ʝ Ν Н ͝ ҝ ԝ ՝ ֝ ؝ ̝ ٝ ܝ ݝ ޝ ۝ ƞ Ǟ ɞ Ş ʞ ͞ Ξ ̞ Ϟ О ў Ԟ ՞ מ ֞ Ӟ ؞ ٞ ڞ ܞ Ÿ ğ ş Ɵ ɟ ȟ ˟ ϟ П џ Ο ӟ ן ؟ ڟ ֟ ۟ ޟ ܟ ߟ ݟ ՟   à Ġ ̟ ͟ Ƞ ɠ ˠ Ǡ ̠ Π Ѡ Р Ӡ Ԡ ֠ נ ٠ ڠ ۠ ¡ á ġ ơ ʡ ˡ ɡ ̡ ͡ Ρ ѡ ҡ С ӡ ԡ ա ס ޡ ߡ ݡ ܡ ߠ Ģ Ƣ â Ȣ ˢ ͢ ʢ Ϣ Ң Ԣ Ѣ ֢ آ ڢ ۢ ޢ ٢ ܢ ݢ ţ ƣ ȣ ǣ ģ ɣ ʣ ̣ ͣ У ѣ Σ ϣ գ أ ٣ ڣ ף ܣ ޣ ݣ ߣ £ ã Ĥ ɤ ʤ ͤ Ϥ Ф ٤ Ӥ ݤ Ѥ Ҥ ¥ ĥ ƥ ɥ ͥ Υ Х ϥ ̥ ѥ ҥ ˥ ԥ ץ إ ٥ ȥ ڥ ݥ ߥ ܥ æ Ħ ¦ Ŧ ɦ ʦ Ȧ ˦ ̦ Ǧ ͦ Ʀ Φ Ѧ Ҧ Ԧ Ц զ ئ ٦ צ ڦ ަ ߦ ݦ ܦ ۦ ç ħ Ƨ § ǧ ɧ ʧ ͧ Χ ̧ ϧ Ч ӧ ҧ է ֧ ק ڧ ۧ ݧ ٧ ާ ¨ ƨ ɨ Ȩ ˨ ̨ ͨ Ҩ Ѩ Ԩ ը Ш ֨ ب ٨ ڨ ۨ ݨ ߨ © ˩ ͩ ʩ Щ ɩ ҩ ԩ ٩ ߩ ª ê Ū Ǫ Ȫ Ϫ ɪ ˪ ̪ Ѫ ͪ Ъ ʪ Ҫ Ϊ Ӫ Ԫ ժ ڪ ۪ ݪ ܪ ٪ ު ߪ ت ֪ ת Ʃ ǩ ȫ ʫ ǫ ̫ ϫ ѫ Ϋ ӫ ׫ ث ֫ ٫ ګ ի ܫ ߫ ޫ ī ū ¬ Ĭ Ƭ ɬ ˬ Ȭ ͬ Ϭ Ҭ Ӭ Ь Ѭ ج ٬ ۬ ׬ ܬ ެ ŭ ƭ έ Э ͭ ҭ խ ׭ ԭ ٭ ܭ ޭ ۭ Į ɮ Ȯ ˮ ̮ î ͮ ® Ю Ʈ Ǯ Ѯ Ϯ ծ Ү ֮ Ӯ ׮ Ԯ ڮ خ ٮ ʭ ˭ ¯ į ǯ ɯ Ư ˯ ί Я ͯ ү կ ׯ ԯ ٯ ܯ ޯ ۯ ð Ű ° ǰ ʰ ̰ ɰ ΰ Ѱ Ұ Ӱ հ ְ ذ а ٰ ߰ ް ۰ ݰ ± ı ȱ ̱ ұ б ѱ ձ Ա ֱ ˱ ʱ ڱ α ϱ Ʊ DZ ױ ر ݱ ۱ ߱ ܱ ޱ ٱ ò IJ Ų Ȳ ² ̲ Ͳ ˲ Dz ʲ β ϲ Ҳ в Ӳ Ѳ ײ ز ٲ ܲ ݲ ߲ ۲ ֲ Բ ղ ʳ ˳ ȳ ɳ г ҳ ϳ Գ ׳ ٳ ڳ ֳ ݳ ޳ ۳ ܳ ų Ƴ ´ ô Ŵ ȴ ʴ ˴ ϴ д Ѵ δ Ӵ մ ִ ܴ ݴ ۴ ޴ ߴ ڴ ش ٴ ̴ ʹ µ õ ĵ ǵ ȵ Ƶ ɵ ʵ ̵ ˵ ŵ ͵ е ѵ ϵ ҵ ӵ Ե ׵ ص ֵ ٵ ڵ ۵ ݵ ¶ ö Ķ Ƕ ȶ ƶ ɶ ʶ Ͷ ն ֶ ض ٶ ˶ ̶ ڶ · ķ ŷ Ƿ ȷ ̷ η Ϸ ˷ з ҷ ӷ ط ڷ ׷ ܷ ߷ ޷ շ ַ Ʒ ɷ ʷ ޶ ߶ ĸ Ƹ ø ȸ ˸ ͸ ʸ ϸ Ҹ Ӹ Ը Ѹ ָ ظ ܸ ݸ ߸ ޸ ۸ ڸ Ĺ Ź ǹ ƹ ù ȹ ɹ ¹ ˹ ι й ͹ ҹ ̹ ӹ ֹ ׹ ع չ ڹ ܹ ޹ ߹ º ĺ Ⱥ ̺ Ѻ к Ӻ Ժ ˺ պ ʺ غ κ Ϻ ٺ ׺ ƺ Ǻ ݺ ں ޺ ۺ ߺ ܺ » û Ż Ȼ ʻ ǻ ̻ ƻ ͻ л ѻ һ ϻ Ի ֻ ڻ ޻ ݻ ܻ ػ ٻ ü ļ ż ȼ ˼ ϼ ռ ּ ׼ ڼ ۼ ټ ܼ ޼ ݼ Լ ߼ Ҽ ¼ Ǽ ʼ ý ½ Ľ ǽ Ƚ ƽ ɽ ̽ ͽ Ͻ ν ˽ н ѽ ӽ ҽ ʽ Խ ؽ ڽ ۽ ݽ ߽ ֽ þ ž ƾ ; Ͼ о Ӿ Ѿ Ҿ ɾ ھ ۾ ľ Ǿ Ⱦ ¿ ÿ ſ ƿ ȿ ɿ п ѿ Ͽ ҿ Կ ӿ ο տ ֿ Ϳ ؿ ܿ ݿ ߿ ޿ ۿ ڿ ˿ ̿ À Ā ƀ € ǀ ˀ ̀ ʀ ̀ ΀ ɀ π Ҁ Ӏ Հ р ր ڀ ۀ ـ ܀ ݀ ؀ ހ ǁ ́ Ɂ ́ ʁ ˁ Ɓ ΁ Ł ρ ց ׁ ҁ Ӂ ԁ Ձ ܁ ݁ ށ ہ ؁ ف с ߁ ځ Á ā ‚  à Ȃ ɂ ǂ ʂ ˂ Ƃ ͂ Ђ т ӂ ς Ԃ ؂ ق ׂ ڂ ۂ ւ ݂ ߂ ƒ à ă Ń Ƀ ʃ ȃ ˃ ̃ ǃ ΃ у ԃ Ӄ փ ڃ ۃ ك ܃ ރ ߃ ݃ ׃ ؃ „ Ä ń DŽ Ȅ ̄ ̈́ τ ˄ Є Ԅ ׄ ք ل ܄ ڄ ۄ ҄ ބ Ʉ ʄ Å ƅ Ņ ʅ ˅ ͅ ̅ Ʌ ΅ ҅ Ӆ х ԅ Յ Ѕ ׅ څ ۅ ݅ م ޅ † Ć Æ ņ Ɔ Ȇ ˆ ̆ ʆ ͆ Ά φ ӆ Ԇ ҆ Ն ֆ ц ؆ ۆ ކ ݆ Dž ȅ ‡ ć Ň ȇ ɇ Ƈ LJ ̇ ч ҇ · χ ԇ Շ Ї և ڇ ۇ ؇ ه އ ߇ ݇ ׇ ˇ ƈ Lj ň Ȉ Ɉ Ĉ ˈ Έ ψ ͈ Ј ӈ Ԉ ֈ Ո ҈ ׈ ш ؈ ܈ ݈ ߈ ވ ۈ ڈ É ĉ Ɖ ɉ Ή ω ͉ Љ Ӊ Չ ։ щ ̉ ؉ ȉ ˉ ܉ ډ ۉ ߉ މ ݉ Š Ê Ŋ Ɗ Ċ NJ ˊ ̊ ʊ ͊ Ί Њ ъ ӊ Ҋ Ɋ Ԋ Պ ֊ ڊ ۊ ي ܊ ݊ ؊ ߊ ċ Ƌ Nj ‹ ɋ ˋ ̋ Ћ ы Ӌ ϋ ԋ ؋ ۋ ڋ ݋ ދ ߋ ֋ ͋ ΋ Œ Ì Č Ō nj ʌ ˌ Ɍ ̌ ό Ќ Ό ь Ҍ Ռ Ԍ ͌ ֌ ׌ ڌ ی ٌ ܌ ߌ ތ  č Ǎ ȍ ƍ ɍ ʍ ˍ ύ Ѝ ΍ э ҍ ͍ ԍ ׍ ڍ ٍ ܍ ߍ ݍ ލ Î Ď Ž Ŏ Ȏ ʎ ˎ Ǝ ͎ ώ Ў Ԏ Վ ׎ ӎ ؎ ܎ ߎ ގ ڎ ю Ҏ Ï ď  ŏ Ə ɏ ȏ ʏ Ϗ Ώ я ؏ ُ ׏ ڏ ۏ ֏ ܏ ߏ ޏ  Ő ǐ Ȑ Ð ʐ ΐ ̐ ͐ Ґ Ӑ ѐ Ԑ א ِ ڐ Ր А ܐ ϐ ސ ߐ ‘ Ñ ő đ Ƒ Ǒ ȑ ̑ ͑ ˑ Α ϑ ʑ ё Ց ֑ ԑ ב ؑ ӑ ڑ ݑ ޑ ܑ ߑ Ē Œ Ò ƒ ɒ ʒ ̒ ˒ Ȓ ͒ ǒ Β Ғ Ӓ Ւ Ԓ ђ ֒ ג В ْ ܒ ݒ ے ޒ ߒ “ œ ʓ ˓ ɓ ̓ ϓ ѓ ғ ͓ ȓ ԓ ē Ǔ ؓ ֓ ד ݓ ޓ ܓ ߓ ۓ ٓ ړ ” Ô Ĕ Ȕ ɔ ǔ ʔ ˔ ͔ Δ Д ϔ Ɣ є Ҕ Ӕ ֔ ה Ք ؔ ۔ ܔ ڔ ݔ ޔ ٔ Õ ȕ ɕ Ǖ ʕ ˕ ƕ ͕ Е ѕ ϕ ҕ Օ ֕ ؕ ו ԕ ٕ ӕ ڕ ޕ ߕ ݕ ܕ – Ŗ Ɩ Ė ǖ Ȗ ʖ ɖ ˖ ̖ Ζ ϖ Ӗ Җ Ֆ ܖ ݖ ۖ ޖ ߖ ږ Ɨ Ǘ ŗ ȗ ɗ ė ˗ ͗ Η ϗ ӗ ԗ җ ՗ ֗ ї ؗ ڗ ܗ ݗ ޗ ߗ — × Ø Ę Ƙ Ř ǘ Ș ɘ ͘ Θ ̘ Ϙ И ˘ Ҙ ֘ ט ՘ ؘ ٘ Ԙ ۘ ޘ ߘ ݘ ™ ř ƙ ș Ǚ ę ə Ù ʙ Ι ϙ љ Й ͙ ҙ ә ̙ ՙ ؙ ٙ י ڙ ۙ ܙ ߙ ޙ š Ú Ě ǚ Ț ʚ ɚ ƚ ˚ ̚ ͚ К њ Ӛ Ϛ Ԛ ך ؚ ښ ֚ ۚ ޚ ߚ ݚ › ś ƛ ț Ǜ ě ɛ ʛ ˛ Λ ϛ ћ Л ͛ қ ӛ ԛ כ ؛ ڛ ٛ ֛ ۛ ܛ ݛ ߛ œ Ü Ĝ ǜ Ȝ ʜ ɜ Ɯ ˜ ̜ ͜ М ќ Ӝ Ҝ Ϝ Ԝ ՜ ֜ ٜ ڜ ܜ ۜ ؜ ݜ ޜ ߜ  ĝ Ý ŝ Ɲ ǝ ʝ ˝ ͝ ̝ ɝ Ν ϝ Н ӝ ԝ ֝ ՝ ҝ ם ؝ ٝ ܝ ݝ ߝ ޝ ۝ Ğ Ş Ǟ ƞ Þ Ȟ ɞ ʞ ͞ Ξ О Ϟ ̞ ў Ҟ Ӟ ֞ מ ٞ ؞ ՞ ڞ ۞ ܞ ߞ ޞ Ÿ ß ğ ǟ ȟ ʟ ɟ Ɵ ˟ ̟ ͟ П џ ӟ ҟ ϟ ԟ ՟ ֟ ٟ ڟ ܟ ۟ ؟ ݟ ޟ ߟ   à Ơ Ǡ ɠ Ƞ Š ʠ Ġ ˠ Π Ϡ Ѡ Р ͠ Ҡ Ӡ Ԡ נ ؠ ڠ ٠ ֠ ۠ ܠ ݠ ߠ ¡ ġ á š ǡ ơ ȡ ˡ ̡ Ρ ͡ ʡ ϡ С ѡ ԡ ա ס ֡ ӡ ء ١ ڡ ݡ ޡ ߡ ܡ ¢ Ģ â Ţ Ƣ Ǣ ʢ ˢ ͢ ɢ ΢ Ѣ Ң Ԣ Т բ آ ٢ ۢ ڢ ע ܢ ޢ ݢ ߢ ã £ ģ ƣ ţ ǣ ʣ ˣ ͣ ̣ ɣ Σ ϣ У ӣ ԣ ֣ գ ң ף ٣ أ ڣ ݣ ޣ ߣ ܣ ¤ ä Ǥ Ȥ ʤ ɤ Ƥ ˤ ̤ Ť Ѥ Ĥ Ӥ פ ؤ ڤ ٤ ֤ ۤ ܤ դ ޤ ¥ ǥ ȥ ʥ ɥ ƥ ˥ ̥ Υ ѥ ҥ ϥ Х ֥ ٥ ڥ ߥ Ŧ Ʀ Ȧ Ħ ɦ ͦ Φ ̦ Ϧ Ц ˦ Ҧ Ԧ צ ֦ ٦ ܦ ݦ ߦ ڦ ۦ § ç ħ ǧ ȧ Ƨ ɧ ʧ Χ ͧ Ч ѧ ӧ ҧ է ק ̧ ا ŧ ٧ ܧ ݧ ۧ ާ ߧ ¨ Ĩ ƨ Ǩ ʨ ͨ ̨ Ϩ ɨ Ҩ Ө Ш Ѩ ֨ ب ٨ ը ܨ ݨ ڨ ۨ ߨ © ĩ ũ ȩ ɩ Ʃ ǩ ̩ ͩ ϩ Ω ˩ Щ ѩ ҩ ԩ ֩ ש ک ۩ ݩ ߩ ة ٩ ƪ Ǫ ɪ Ȫ Ū ʪ ˪ Ϊ ͪ Ъ Ӫ Ԫ Ѫ Ҫ ڪ ۪ ݪ ܪ ٪ ު ߪ ت ī ū ǫ ƫ ë ȫ ʫ ˫ ɫ ̫ Ϋ ׫ ث ֫ ٫ ګ ۫ ޫ ߫ ݫ ԫ ի ɬ ʬ Ȭ ˬ ̬ ͬ Ь Ѭ Ӭ Ҭ Ϭ Ԭ լ ֬ ٬ ڬ ܬ ۬ ج ݬ ߬ ެ Ǭ ­ ĭ ƭ ǭ ȭ ʭ ˭ έ ̭ ͭ ֭ ׭ ٭ խ ڭ ݭ ۭ ޭ ѭ ® î Ʈ ̮ ͮ Ϯ ˮ Ю Ү ׮ ڮ ɮ ߮ ܮ ޮ Ů Ȯ ¯ ï į ǯ ȯ ʯ ɯ Ư ˯ ̯ ͯ Я ѯ ӯ ү ϯ ԯ կ ֯ گ ܯ ݯ ߯ د ð İ ư ° ǰ ʰ ˰ Ͱ ɰ ΰ Ѱ Ұ ԰ а հ ذ ٰ ۰ װ ܰ ߰ ް ± ñ ű ɱ ʱ ̱ ȱ ͱ ϱ ұ Ա ձ ѱ ر ٱ ֱ ױ ܱ ݱ ߱ б ڱ ۱ ² ò Ų Ʋ Dz ɲ ʲ Ʊ DZ ˲ β ϲ Ͳ в Ҳ Ӳ Ѳ Բ ز ٲ ײ ڲ ۲ ֲ ݲ ߲ ij ų dz Ƴ ó ȳ ɳ ̳ ˳ γ ѳ ҳ ϳ г س ٳ ۳ ڳ ׳ ܳ ݳ ֳ ߳ ´ Ŵ ƴ ȴ Ĵ ɴ ̴ ʹ ˴ δ Ѵ Ҵ д Ӵ Դ ִ մ ϴ ״ ڴ ۴ ܴ ޴ ߴ ٴ µ ĵ Ƶ ȵ ʵ ̵ ε е ҵ Ե ׵ ص ۵ ܵ ޵ ڵ ߵ ö Ķ ƶ ¶ Ƕ ʶ ˶ Ͷ ɶ ζ Ѷ Ҷ ն ֶ ٶ ۶ ޶ · ÷ ŷ ķ Ʒ Ƿ ȷ ̷ ͷ Ϸ ˷ з ҷ շ Է ׷ ط ض ڷ ۷ ж Ӷ Զ ¸ ø Ÿ ĸ Ƹ Ǹ ȸ ˸ ͸ ϸ Ѹ и ʸ Ҹ ո ָ ظ ׸ Ը ٸ ڸ ۸ ݸ ޸ ¹ Ĺ ù ɹ ʹ ȹ ˹ ̹ ǹ ι ҹ ӹ չ ѹ ֹ ع й ٹ ݹ ޹ ܹ ۹ º ú ƺ Ǻ ɺ Ⱥ ź ʺ ĺ ˺ κ Ϻ Ѻ к ͺ Һ պ ֺ غ ׺ Ժ ٺ Ӻ ں ݺ ޺ ߺ ܺ Ź ƹ » û Ż ƻ ɻ ǻ ʻ Ȼ ˻ ̻ ͻ ѻ һ Ի л ջ ػ ֻ ٻ ׻ ϻ ڻ ۻ ܻ ߻ ޻ ü ļ ¼ ȼ ɼ ˼ Ǽ ̼ ϼ ͼ м μ Ƽ Ѽ Ҽ Ӽ ؼ ټ ۼ ߼ ׼ ܼ ݼ ּ ռ ߷ ½ Ľ ǽ ƽ ɽ ̽ ˽ ν ѽ н ӽ ս ׽ ٽ ۽ ݽ ߽ ¾ þ Ǿ Ⱦ ʾ ƾ ˾ ξ ̾ Ͼ ž о ׾ ؾ ھ ־ ۾ ޾ ܾ ߾ Ҿ ¿ ÿ ƿ ǿ ɿ ȿ ſ ʿ Ϳ ο п Ͽ ̿ ѿ ˿ ҿ տ ֿ ؿ ׿ Կ ٿ ܿ ݿ ߿ ޿ ۿ ڿ € À ƀ ǀ ɀ Ȁ ŀ ʀ ̀ ΀ Ѐ π ̀ р ˀ Ҁ Հ ր ؀ ׀ Ԁ ـ ܀ ݀ ߀ ހ ۀ ڀ Á ʁ ˁ ́ Ɂ ΁ с ρ ҁ ԁ ց ȁ ځ ߁ ށ ݁ Ă ł ǂ Ƃ  Ȃ ‚ ɂ ̂ ͂ ς ΂ ˂ Ђ ӂ Ԃ ւ Ղ ҂ ׂ т ؂ ۂ ܂ ނ ݂ ڂ ߂ ă Ń ǃ à ȃ ʃ ˃ ΃ σ Ѓ ̓ ҃ ԃ Ճ ׃ ؃ ۃ ڃ ރ ܃ ݃ Ą ń DŽ Ƅ Ä Ȅ Ʉ „ ʄ ̄ ˄ ̈́ ф ҄ Ԅ ӄ Є Մ ք τ ؄ ۄ ݄ ބ ą Ņ … Å ʅ ˅ ͅ Ʌ ΅ х υ ҅ Ѕ ȅ Ӆ ׅ օ م ԅ ܅ Յ ۅ څ Dž ݅ ƅ † Æ Ɔ Ć dž ņ Ȇ Ɇ Ά φ ц ͆ ҆ Ԇ ӆ ̆ Ն ֆ ˆ ؆ چ ۆ ن ߆ ކ ܆ ݆ ߄ Ň Ƈ ȇ LJ ć ɇ ʇ Ç ̇ · χ Ї ҇ Ӈ Շ և ه ۇ ܇ ؇ ߇ ݇ އ Ĉ ň ˆ È ʈ ˈ ͈ Ɉ Έ Ј ш ֈ ׈ Ո ؈ و Ԉ ۈ ߈ ݈ ӈ Ɖ ʼn ȉ ʉ ω Ή щ ԉ Ӊ ։ ܉ ۉ މ Ê Ċ Ɗ Ɋ Ȋ ˊ Ί ϊ ъ Ҋ ̊ ͊ ׊ ي ڊ ݊ ފ ۊ ܊ ‹ ċ ŋ ȋ ɋ ˋ Nj ̋ Ћ ы ϋ ҋ Ӌ ΋ Ջ ׋ ؋ ދ ߋ ݋ ܋ Ì Č Œ ƌ Ȍ ʌ ͌ Ό ˌ ̌ Ҍ ، ٌ ׌ ڌ ތ ݌ ی ֌ Ԍ Ռ  Í ō ƍ ȍ ̍ ͍ ˍ ΍ ύ ʍ э ԍ Ս ҍ Ӎ ڋ ۋ ڍ ܍ ݍ ߍ ލ Ž Î ǎ Ȏ ʎ Ɏ Ǝ ˎ ̎ Ύ ͎ Ŏ ώ ӎ Ԏ ֎ Վ Ҏ ׎ ێ ܎ ގ ݎ ڎ ߎ َ ؎ ю Ï ď ŏ Ə ȏ ɏ ʏ ˏ ͏ Ώ Ϗ Џ Տ ҏ ؏ ۏ  ߏ  Ȑ ɐ ǐ ʐ ͐ ː ΐ ̐ Ɛ ϐ А ֐ Ր ؐ ِ ڐ ې ݐ Ԑ ސ ߐ Ӑ Đ Ő Ґ Ñ đ ‘ Ǒ ȑ ̑ ͑ ϑ Α ˑ Б ё Ց ّ ؑ ב ݑ ۑ ܑ ӑ ԑ ޑ ߑ ɑ Ƒ ő ’ Ò Ē ʒ ˒ ̒ ɒ Β Ғ Ӓ ђ Ԓ Ւ В ג ْ ڒ ߒ ޒ ܒ ݒ ǒ Ȓ “ Ó œ Ɠ ȓ ˓ ͓ Γ ʓ ѓ ғ ϓ Г Փ ֓ ٓ ړ ؓ ۓ ݓ ߓ ܓ ɓ ӓ ԓ ” Ô Ĕ Ŕ ǔ Ȕ ʔ ˔ ̔ Δ ϔ ɔ Д Ԕ Ӕ Ք ؔ ٔ ۔ ה ܔ ޔ • ŕ Ǖ ȕ ʕ ˕ ɕ ϕ Е ҕ Ε ӕ ֕ ԕ ו Օ ͕ ؕ ٕ ە ܕ ̕ ޕ ݕ ߕ – Ö Ɩ Ė ǖ Ŗ Ȗ ɖ ʖ ˖ ϖ Ж Җ Ӗ Ζ Ԗ ֖ ז ͖ Ֆ ؖ ۖ ܖ ޖ ݖ ږ ߖ × ŗ Ǘ ɗ ˗ ͗ ϗ ї ӗ ՗ ח ٗ ۗ ݗ ߗ ˜ Ę Ř Ƙ Ș ɘ ˘ ̘ И Θ ј Ϙ ՘ ֘ ؘ ט Ԙ ٘ ژ ܘ ݘ Ә ޘ Ҙ ߘ Ù ™ ę ř Ǚ ș ʙ ˙ ͙ Ι ə ̙ ϙ ҙ ә ՙ ֙ љ ԙ י Й ؙ ڙ ܙ ݙ ߙ š Ś ɚ ʚ ˚ ̚ Ԛ ՚ Ӛ ֚ ך Κ ۚ ߚ Û ě ƛ › Ǜ ʛ ț ˛ ̛ ͛ ϛ Λ ӛ ԛ ֛ ћ ؛ ڛ ۛ Л ݛ ܛ Ü œ Ŝ Ɯ ǜ ʜ ˜ ͜ ɜ Μ М Ӝ Ҝ ՜ ֜ ל ڜ ܜ ݜ ޜ ߜ  Ý ŝ ȝ ǝ ʝ ˝ ̝ Н ѝ ϝ ӝ Ν ՝ ם ؝ ٝ ޝ ߝ ݝ ۝ ܝ ޛ ߛ ž Ş Ğ ƞ ɞ ʞ ˞ Ȟ ͞ О ў Ӟ Ϟ Ԟ ֞ מ ؞ ݞ ޞ ܞ ߞ ۞ ڞ ޙ ş ğ ǟ ʟ ɟ ̟ ϟ Ο џ ӟ ֟ ן ڟ ۟ ٟ ܟ ݟ ޟ   à Ơ Ǡ Š Ƞ ɠ ˠ ̠ Ϡ Р Π Ѡ Ҡ Ӡ ͠ Ԡ ؠ ٠ ۠ ڠ נ ܠ ݠ ֠ ߠ ¡ á ġ ȡ ɡ ˡ ʡ ǡ ̡ ͡ ơ ϡ ҡ ѡ ԡ ֡ ١ ڡ ס ء ޡ ¢ Ģ Ƣ Ȣ ˢ ̢ Ϣ Т Ң ΢ Ӣ բ ֢ ٢ ڢ ܢ آ ݢ ߢ £ ģ ţ ˣ ̣ ͣ Σ ǣ ѣ ң ӣ գ ԣ ף ֣ ٣ ۣ ߣ ޣ ݣ ä Ť Ǥ Ȥ ̤ ͤ Ϥ ˤ Ф Ҥ Ӥ ؤ ٤ פ ڤ ۤ ֤ ݤ ߤ ť ƥ ĥ ǥ ȥ å ʥ Υ ϥ 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ں ݺ ޺ ׺ к Ѻ غ ߺ ˺ Һ ٺ ɺ ʺ û Ļ ƻ ʻ ˻ ɻ ̻ ͻ Ȼ ϻ л ѻ ջ ֻ Ի ׻ ػ ӻ ٻ ݻ ޻ ܻ ߻ ۻ ̹ ͹ ü ż Ƽ Ǽ ɼ ʼ ̼ ͼ ϼ Ѽ Ҽ ռ Ӽ Լ ּ ؼ ݼ ܼ ߼ ½ ǽ Ƚ ƽ ɽ ʽ ̽ ͽ н ѽ ν Ͻ ֽ ׽ ٽ ս ڽ ܽ ݽ ž ƾ ľ Ǿ Ⱦ þ ʾ ˾ ߽ ; ξ Ծ Ӿ ־ ؾ ݾ ܾ ߾ ¿ Ŀ ƿ ȿ ʿ ̿ ο п ҿ տ ֿ ٿ ڿ ܿ ؿ ݿ ߿  €Āŀ 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ۉ'މ'߉'݉''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''Ê'Ŋ''Ȋ'NJ'Ɗ'̊'ˊ'͊'ϊ'Њ'Ҋ'Ԋ'Ɋ'ʊ'ۊ'܊'ڊ'݊'ފ'''''ي''''؊''''׊'''''''''''''''''''''''''''''''''''''''''''''''''''''''‹''Ë'ŋ'Ƌ'ȋ'ʋ'ϋ'΋'ы'ԋ'Ӌ'֋'ً'؋'ۋ'ދ'݋''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''Ì'Œ'Ō'nj'Ɍ'ˌ'͌'ό'Ҍ'ӌ'֌'׌'ٌ'Ռ'ڌ'܌'݌''''ߌ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''Í'ō'č''ƍ'Ǎ'ȍ''ɍ'''ʍ'͍'΍'Ѝ'̍'э'ԍ'Ս'Ӎ'֍'׍'ٍ'ݍ'ލ''܍'''''''''''''''''''''''''''''''''''''''''''''''''''''ڍ'ۍ'''''''''''''''''''Ž'ǎ'Ȏ'ʎ'Ɏ'Ǝ'ˎ'̎'Ď'Ŏ'Ύ'ώ'ю'Ҏ'Ў'Վ'֎'؎'َ'ێ'ݎ'ӎ'Ԏ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''Ï'ď'Ə''Ǐ'ˏ'̏'ʏ'͏'Џ'я'Ϗ'ҏ'ӏ'Ώ'Տ'؏'ُ'ۏ'׏'܏'ߏ'''ޏ'''''''ɏ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''Ð'ǐ'Ȑ'Ɛ'ɐ'ʐ'ː'͐'ΐ'А'ѐ'Ӑ'Ր'ڐ'ِ'ܐ'ސ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''‘'đ'ő'ɑ'ȑ'ʑ'̑'͑'ϑ'ё'Ƒ'Ǒ'֑'ב'Ց'ؑ'ّ'ԑ'ۑ'ݑ'ޑ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''Ē''ƒ'̒'͒'˒'Β'ϒ'ђ'Ғ'Ԓ'Ӓ'ʒ'Ւ'֒'ג'ɒ'ؒ'ْ'ݒ''ߒ''Ȓ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''Ó'“'œ'Ǔ'̓'˓'Γ'Г'ғ'Փ'֓'ٓ'ړ'ؓ'ۓ'ܓ'ݓ''''ߓ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''”'Ô'ǔ'Ȕ'Ɣ'ɔ'ʔ'˔'͔'Δ'Ԕ'Ӕ'֔'ؔ'ڔ'ݔ'ޔ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''•'Õ''ŕ''''ȕ'˕'̕'ҕ'ѕ'ԕ'֕'ؕ'ە'ܕ'ߕ'''ޕ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''–'Ɩ'ǖ'Ŗ'Ȗ'ɖ'ʖ'̖'͖'Ӗ'Җ'Ֆ'ז'ږ'ۖ'ޖ'ߖ'''ݖ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''×'ė'Ɨ'ȗ'͗'̗'ϗ'җ'ї'ԗ'ח'֗'ٗ'ۗ'ݗ'ߗ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''˜'Ø'Ę''ǘ'ɘ'ʘ'Ƙ'˘'͘'Θ'И'Ҙ'Ԙ'֘'ט'ܘ'ݘ'ߘ'ޘ'ۘ'''ژ''''''''''''''''''ؘ'٘''''''''''''''''''''''''''''''''''''''''''''''''''''''™'ř'ƙ'ș'ə'˙'͙'Ù'ę'љ'ҙ'ԙ'Й'ՙ'ؙ'ٙ'ۙ'ڙ'י'ܙ'ݙ'ޙ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''Ě'Ś'ǚ'ƚ'Ú'Ț'ɚ'̚'˚'Κ'š'Ϛ'͚'К'њ'Ԛ'՚'Ӛ'֚'ך'ؚ'ۚ'ܚ'ޚ'ښ'ߚ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''Û'ě'›'ś'ƛ'ț'˛'̛'Λ'ϛ'ћ'ӛ'ɛ'ʛ'כ'؛'֛'ٛ'ڛ'ۛ'ݛ'ޛ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''œ''Ü'Ŝ'Ɯ'˜'Μ'͜'М'ќ'Ҝ'؜'ٜ'ל'ڜ'ۜ'֜'ݜ''''''ߜ'''''''''''''''Ԝ'՜'''''''''''''''''''''''''''''''''''''''''''''''''ɜ'ʜ''ĝ'Ɲ'ǝ'ʝ'˝'ɝ'̝'͝'ѝ'ҝ'Н'ӝ'ԝ'՝'ϝ'֝'ȝ'ם'ڝ'۝'ݝ'ٝ'ޝ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''ž'''''Ğ'Ş'ƞ'Ǟ'ɞ'Ȟ'ʞ'͞'Ξ'О'ў'Ӟ'՞'˞'̞'ٞ'۞'ܞ''''ߞ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''ß'Ÿ'ş'Ɵ'ǟ'''˟'̟'ʟ'͟'Ο'ҟ'ӟ'џ'ԟ'՟'֟'П'ן'ٟ'ڟ'ݞ'ޞ'۟'ݟ'ܟ'ޟ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' 'Š'Ơ'Ƞ'ɠ'ˠ'͠'à'Ġ'Ѡ'Ҡ'Ԡ'Р'ՠ'ؠ'٠'۠'נ'ܠ''ߠ'''ޠ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''ġ'ȡ'á'ʡ'̡'Ρ'ϡ'ӡ'ԡ'ס'ա'ء'ҡ'١'ܡ'ݡ'ߡ'ۡ''͡'С'ѡ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''¢'Ţ'Ƣ'Ȣ'Ģ'ɢ'̢'͢'ˢ'΢'Ѣ'Ң'Т'Ӣ'Ԣ'֢'ע'Ϣ'آ'ڢ'ۢ'ݢ'ޢ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''ţ'ɣ'ʣ'ȣ'ˣ'̣'Σ'ϣ'ã'ģ'ӣ'ѣ'ң'ף'أ'ڣ'֣'ܣ'''ߣ''''ԣ'գ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''Ƥ'Ǥ'ɤ'Ť'ʤ'Τ'Ϥ'ͤ'Ф'Ѥ'̤'Ӥ'դ'ؤ'٤'֤'פ'''ߤ'''''''ޤ''''ݤ'''''''''''''''''''''''''''''''''''''''''''''''''''''''¥'''å'ĥ'ƥ'ɥ'ʥ'̥'˥'ȥ'ͥ'Υ'Х'ӥ'ҥ'ԥ'إ'٥'ۥ'ڥ'ץ'ܥ'ݥ'֥'ߥ'ѥ'ե'''''''''''ǥ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''¦''Ħ'Ǧ'Ʀ'ɦ'˦'ͦ'Ϧ'Ѧ'Ӧ'զ'צ'ڦ'ۦ'ަ'ߦ''ݦ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''§'ħ'Ƨ'ȧ'ɧ'Χ'ϧ'ѧ'Ч'ͧ'ҧ'ӧ'̧'է'ק'ا'ۧ'ܧ'ާ'ڧ'ߧ''''''''''ʧ'˧''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''¨'''Ǩ'Ȩ'ƨ'ɨ'ʨ'Ũ'̨'Ψ'Ԩ'ը'ר'֨'Ө'ب'ߨ''''ި'''ݨ'''ۨ''''٨'Ҩ''Ш'Ѩ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''©'ĩ''ũ'''Ʃ'ȩ'ʩ'˩'Ω'ϩ'ѩ'ҩ'ԩ'֩'̩'ͩ'ܩ'ީ'ߩ'۩'''''''''''''''''''''''''''''''''''''''''٩'ک'''''''''''''''''''''''''''''ª'ê'Ī'ƪ'Ǫ'ɪ'ʪ'̪'Ϊ'Ӫ'Ҫ'ժ'ت'ת'ڪ'ݪ'ܪ'ߪ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''ë'ī'ƫ'«'ǫ'ʫ'˫'ͫ'ɫ'Ϋ'ѫ'ҫ'ԫ'Ы'ի'ث'٫'۫'׫'ܫ'''߫'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''¬'Ŭ''Ǭ'ɬ'ˬ'̬'Ϭ'Ь'լ'֬'Ӭ'Ԭ'ͬ'ά'٬'ܬ'ݬ'۬'ެ'߬''''ޫ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''­'''ȭ'ɭ'ǭ'ʭ'˭'ƭ'ͭ'ϭ'ŭ'Э'ҭ'ӭ'խ'׭'٭'ޭ'߭'ݭ'''ۭ'ܭ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''î'Ů'Ǯ'ɮ'ˮ'ͮ'Ϯ'Ѯ'Ӯ'ծ'׮'ڮ'ۮ'ޮ'߮''ݮ'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''¯'ï'ů'ɯ'ʯ'ȯ'˯'̯'ү'ӯ'ѯ'ԯ'ۯ'ܯ'گ'ݯ'ޯ'''''ٯ''''د'''''''''''''''''''կ''Я''ׯ''ί'ϯ''''''''''''''''''''''''Ư'ǯ''''''''''''''''''''°''ð'İ'Ȱ'ʰ'ΰ'ϰ'Ͱ'а'Ѱ'Ұ'ư'ǰ'հ'ڰ'۰'ٰ'ܰ'ݰ'װ'ذ'߰'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''ñ'±'ű'DZ'ɱ'̱'ͱ'б'ѱ'ϱ'ұ'ӱ'Ա'ױ'ر'ڱ'ֱ'۱'߱''ޱ'''ݱ''''''''''''''''''''''''''''''''''''''''''''''''''''''''ò'Ʋ'Dz'ʲ'˲'Ͳ'ɲ'β'Ҳ'Ӳ'Ѳ'Բ'ղ'в'ײ'ٲ'ܲ'ݲ'ڲ'۲'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''ó'³'ų'ȳ'dz'ʳ'̳'ϳ'г'ճ'ֳ'س'׳'Գ'ٳ'ڳ'ݳ''ӳ'''''ҳ''''''''''''''''''''''''''''''''''''''''''''''''´'ƴ'Ǵ'ɴ'ȴ'Ŵ'ʴ'˴''δ''д'Ҵ'Ӵ'մ'״'ܴ'۴'޴'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''õ'Ƶ'ʵ'˵'͵'̵'ɵ'ε'ϵ'µ'ҵ'Ե'յ''ֵ'ص'ٵ'۵'ݵ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''¶'Ŷ''ȶ''ʶ'̶'Ͷ'϶'Ѷ'ֶ'ն'ض'ڶ'ݶ'޶''''''''''''''''''''''''''''''''''''''''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**********ˆ*****************************************É*ĉ*lj*ȉ*ʉ*Ɖ*ˉ*Ή*ω*͉*Љ*щ*ԉ*Ӊ*։*ى*ډ*܉*݉*߉**׉*؉**********************************************************************Š*Ċ*Ŋ*NJ*Ȋ*ʊ*̊*ъ*Њ*ӊ*֊*Պ*؊*ۊ*ڊ*݊**ߊ******************************************************************‹*Ë*Ƌ*Nj*ɋ*ȋ*ŋ*ʋ*ˋ*̋*ϋ*Ћ*ҋ*ы*΋*Ӌ*ԋ*Ջ*؋*ً*ۋ*ڋ*׋*܋*݋*ދ****************************************************************************************Œ*Ō*ƌ*Ȍ*nj*Č*Ɍ*ʌ*ˌ*Ό*Ќ*͌*Ҍ*Ռ*׌*،*Ԍ*ی*܌*ٌ*ڌ**ߌ**ތ***********************************************************ō*ƍ*ɍ*ʍ*̍*ȍ*͍*э*ҍ*Ѝ*Ӎ*ԍ*ύ*֍*ٍ*ڍ*܍*؍*ݍ*ߍ******************************************************************Ž*Ď**Ȏ*ʎ*ˎ**Ǝ**͎***Ҏ*Ў*ю*Վ*ڎ*ێ*َ*܎*ݎ*؎*ߎ*ӎ*Ԏ********************************************************************************ď*Ə*ȏ*ʏ*̏*Ώ*Џ*ҏ*ԏ*֏*ُ*ڏ*ݏ*ޏ**܏*********************************************************************Ð*Đ*Ɛ*Ő**ǐ*Ȑ*ɐ**ʐ*ΐ*ϐ*͐*А*ѐ*Ӑ*Ԑ*֐*ؐ*ې*ڐ*ݐ**ސ*ߐ****ː**********************************************************************Ñ*Ƒ*ɑ*͑*Α*̑*ϑ*Б*ő*ȑ*ˑ*ґ*ԑ*Ց*ӑ*ّ*ڑ*ؑ*ۑ*ܑ*ݑ****ߑ*********֑*ב************************************************************ǒ*ƒ*ʒ*Œ*̒*Β*Ւ*Ԓ*֒*Ӓ*ג*ْ*ؒ*Ғ*ڒ*ے*В*ђ*ݒ*ޒ***ߒ*************************Ò*Ē******’***********************************“*ē*Ɠ*ȓ*˓*̓*ϓ*Г*ғ*Γ*ӓ*Փ*֓*ٓ*ړ*ܓ*ؓ*ݓ****ߓ********************************************************************Ô*ǔ*Ȕ*ʔ*Ɣ*˔*Δ*ϔ*є*͔*Ҕ*Ք*֔*ؔ*Ԕ*ٔ*۔*ݔ*ޔ****************************************************************************ߔ**ŕ*ƕ*ȕ*ĕ*ɕ*̕*͕*ϕ*˕*Е*ԕ*Օ*ӕ*֕*ו*ҕ*ٕ*ە*ޕ*ݕ**********************************************************************************Ö*Ɩ*Ŗ*Ȗ*ɖ***ʖ*͖*Ζ*̖*ϖ*і*Җ*Ж*Ӗ*֖*ז*Ֆ*ؖ*ٖ*ږ*ܖ*ݖ*Ĕ*Ŕ***********************************************************************ŗ*ė*ȗ**×*ɗ**ʗ*̗*˗*Ǘ*ϗ*җ*ӗ*՗*ח*ؗ*ۗ*ٗ*ܗ*Η*ޗ**************************************************************************˜*Ø*Ę*Ř*ǘ**Ș*ʘ**˘*Ϙ*И*Ҙ*Θ*Ә*՘*͘*֘*٘*ژ*ܘ*ۘ*ؘ*ݘ*****ߘ**ޘ*******************************************************************************Ù**ę*ƙ**Ǚ*˙*̙*ʙ*͙*Ι*ə*Й*ԙ*ؙ*ٙ*י*ڙ*ۙ*ܙ*ҙ*ә**********ߙ******************************************************************š*Ě*Ú**Ś*Ț*ɚ*˚*ʚ*ǚ*̚*ƚ*͚*К*њ*Ӛ*Қ*Ϛ*Ԛ*ך*ؚ*ښ*ٚ*֚*ۚ*՚*ܚ*ߚ****ޚ***************************************************************************›**Û*ś*ƛ*ɛ*Ǜ*ț*Λ*ϛ*Л*̛*͛*ӛ*ћ*ԛ*˛*՛*כ*ۛ*ޛ*ٛ*ڛ*ݛ***************************************************************************œ**Ĝ*Ȝ*ɜ*˜*ǜ*̜*Ϝ*͜*М*Ɯ*ќ*՜*֜*Ԝ*ל*؜*Ӝ*ڜ*ܜ*ߜ*ޜ**************************************************************************ĝ*ŝ*ȝ*Ɲ*ɝ**˝*ϝ*Н*Ν*ѝ*ԝ*՝*ӝ*֝*ם*ٝ*ڝ*ҝ*۝**********ߝ***********************************************************************ž**Þ*Ğ**ƞ*Ȟ*˞*ʞ*͞*Ҟ*Ӟ*ў*Ԟ*՞*О*מ*ܞ*۞*ޞ*ߞ****ڞ***ٞ*********************************************************************Ϟ*Ξ**********Ÿ****ş*ğ*ȟ*ɟ*˟*ʟ*ǟ*̟*͟*ϟ*ԟ*՟*ן*ӟ*ٟ*ҟ*۟*ޟ*ߟ*ݟ***************************П*џ************************************************* **Ġ*Ơ*Ƞ*ʠ*̠*Π*Р*Ҡ*ՠ*֠*٠*ڠ*ܠ*ؠ*ݠ******ߠ******************************************************************š*ơ*ġ*ǡ*ˡ*Ρ*ѡ*ҡ*ԡ*ʡ*ء*ڡ*ۡ*ȡ*֡*á*ݡ**¡***********************************************************************************¢*â*Ģ*Ȣ*ɢ*Ǣ*ʢ*ˢ*Ƣ*͢*Ϣ*Ң*Ѣ*Ԣ*٢*ڢ*ܢ*آ*ݢ*ߢ*ע***************************************************************բ*֢***************£**ã*ţ**ƣ*ɣ*ʣ*̣*ˣ*ȣ*ͣ*У*ѣ*ӣ*ң*ϣ*ԣ*Σ*գ*أ*٣*ۣ*ڣ*ף*ܣ*ߣ****ޣ**ݣ********************************************************************************Ĥ*Ť*Ǥ*Ƥ*ä*Ȥ*ˤ*̤*Τ*ͤ*ʤ*Ϥ*ɤ*Ф*Ԥ*դ*Ӥ*֤*פ*Ҥ*٤*ݤ*ޤ**ܤ***ۤ******************************************************¥*ť*ƥ*ȥ*ĥ*ɥ*̥*Υ*ϥ*˥*Х*ե*֥*ץ*٥*ڥ*ܥ*ۥ*ԥ*ݥ*ޥ*****ӥ****ҥ****************************************************************¦**Ħ*Ʀ*Ǧ*ɦ*˦***Φ*Ϧ*Ц*Ԧ*զ*֦*ڦ*ۦ*٦*ܦ*ݦ*Ҧ*Ӧ*ئ*ߦ*************************************************************************ŧ*Ƨ*ǧ*ç*ħ*˧*ʧ*ɧ*Ч*ѧ*ҧ*ͧ*Χ*է*ϧ*ԧ*ק*ا*٧*ܧ********ߧ**ۧ*ާ********************************************************************¨*Ĩ*Ũ***ʨ*˨*ͨ*Ψ*ɨ*Ϩ*Ҩ*Ө*ר*ب*ڨ*ۨ*Ш*Ѩ*֨**********************************ߨ*********************************************©*ĩ**ũ**Ʃ*˩*̩*ʩ*ͩ*Ω*Щ*ѩ*թ*ة*ԩ*ک*ݩ*ީ*ܩ*ߩ************************************************************ҩ*ө*********ȩ*ɩ*ƪ*Ǫ*ʪ*Ī*Ū*̪*˪*ɪ*Ϊ*Ҫ*Ӫ*Ԫ*Ѫ*֪*٪*ڪ*ܪ*ت*ݪ******ߪ**********Ϫ*Ъ***************************************************ī*ū*ǫ*ȫ*ʫ*ɫ*̫*ͫ*Ы*ϫ*ҫ*ѫ*ԫ*֫**ګ*۫*ܫ*٫*ޫ************************************************************Ĭ*Ŭ*¬*ì*Ȭ*ɬ*ʬ*̬*ͬ*Ϭ*Ǭ*Ь*Ӭ*Ԭ*֬*׬*լ*ج*۬*ܬ*ݬ*ڬ*߬************Ҭ*************************************************************ĭ*ƭ*­*í*ǭ**ȭ***ͭ*˭*̭*Э*ѭ*ԭ*֭*ҭ*ӭ*׭*ϭ*ح*έ*ۭ*ܭ*߭****ޭ**ݭ******************************************************************®**î*Į*Ǯ*Ȯ*ʮ*ˮ*Ů*Ʈ*Ϯ*Ю*Ԯ*ծ*׮*خ*Ӯ*ٮ*Ү*ڮ****߮*****ݮ*ޮ************************************************************************¯**į*ǯ*Ư*ɯ*̯*˯*ί*ѯ*Я*ӯ*֯*կ*د*ۯ*گ*ݯ**߯*******************************************************************°*ð*İ*Ű*ư*ɰ*ʰ*ǰ*˰**̰*ϰ*а*Ѱ*Ұ*Ӱ*ְ*װ*԰*ذ*ΰ*ٰ*۰*ܰ*ݰ*߰********************************************************************±*ı*ȱ*ʱ*DZ*α*ϱ*ͱ*б*ӱ*ձ*ұ*ٱ*ڱ*ر*۱*ޱ**ݱ******************************************************************²*ò**IJ*Ų*Ʋ*ɲ*ʲ*̲*˲*Ȳ*Ͳ*β*ϲ*Ҳ*Ӳ*ղ*Բ*Ѳ*ֲ*ײ*ز*ݲ*޲**߲*ܲ****************************۲*************************************************³**ų*ɳ*ʳ*ȳ*˳*γ*г*ͳ*ӳ*׳*س*ֳ*ٳ*ܳ*޳*۳*****************************************************Ĵ*ƴ*Ǵ*ɴ*ʴ*˴*ʹ*δ*ȴ*ϴ*Ѵ*Ҵ*ش*״*ڴ*ݴ*ܴ*ߴ******************************************************õ**ĵ*Ƶ*ǵ*˵*̵*ʵ*͵*ε*ɵ*е*Ե*յ*׵*ֵ*ӵ*ص*ٵ*ҵ*۵*ݵ***޵*ߵ***********************************************************************ƶ*˶*̶*ζ*Ͷ*ʶ*϶*ж*Ѷ*Ӷ*ȶ*ɶ*Զ*ն*׶*ض*ֶ*۶*ܶ****************************޶*߶*****************ٶ*ڶ*******************************·*ķ*Ƿ*ȷ*ʷ*˷*ѷ*ҷ*Է*ӷ*з*շ*ַ*ط*ٷ*۷*ڷ*Ϸ*ܷ*ݷ*η*߷***ŷ*Ʒ*ͷ****************************************************************************ĸ*Ÿ*Ƹ*ø*ȸ*ʸ*и*Ѹ*Ӹ*Ҹ*ϸ*Ը*׸*۸*ܸ*ݸ*ٸ*ڸ*߸*****ո*θ**̸*͸********************************************************ù*Ĺ*ƹ*ǹ*ȹ*ʹ*˹*Ź*̹*ι*ҹ*ӹ*Թ*ѹ*ֹ*ع*޹*߹***ݹ**************ܹ**ڹ*۹***************************************************º*ú*ź*ĺ**ƺ*ɺ*ͺ*κ*Ϻ*˺*̺*Ѻ*Һ*Ӻ*Ժ*պ*Ǻ**׺***ۺ*ٺ*ں*޺*ߺ**************ܺ*ݺ***************************************************************û*Ļ*ƻ*Ż*»*ǻ*Ȼ*ɻ*̻*ͻ*ϻ*λ*˻*л*ѻ*һ****ջ*Ի*ػ*ٻ*ۻ*ڻ*׻*ܻ*޻*߻*ݻ*****************************************************************************************ü*Ǽ*ȼ*ʼ*ɼ*Ƽ*˼*̼*ż*μ*Ҽ*Ӽ*ռ*ּ*׼*ۼ*ܼ*ڼ*ݼ*޼*߼***********************************************************************ؼ*ټ*********ý*Ľ*½*Ž*ǽ*ƽ*Ƚ*˽*ʽ*̽*Ͻ*н*ҽ*ѽ*ν*ӽ*Խ*ս*ؽ*ٽ*۽*ڽ*׽*ܽ*޽*ݽ*߽******************************************************************************þ*¾**ľ*ž*ƾ*Ⱦ*ɾ*̾*;*Ͼ*˾*о*Ӿ*Ҿ*Ծ*־*׾*ھ*پ*۾*޾*߾*********ݾ*********************м*Ѽ************************************************¿*ÿ*ſ**ƿ*ɿ*ʿ*ȿ*˿*Ϳ*ο*п*Ͽ*̿*ѿ*Կ*տ*׿*ֿ*ӿ*ؿ*ڿ*ۿ*ݿ*ܿ*ٿ*޿*******************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************++++++++++++++++++++++++++++++++++++++++++++++++++++++++++€+À+ŀ+Ȁ+ɀ+ǀ+ʀ+ˀ+̀+Ѐ+р+Ӏ+Ҁ+π+Ԁ+׀+؀+ڀ+ـ+ր+ۀ+Հ+܀+߀++++ހ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Ł+Ɓ+ȁ+Ɂ+ʁ+́+́+΁+Ё+с+ҁ+ԁ+Ձ+ց+؁+ف+ځ+܁+ā+݁+߁++***++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++‚++Â+Ƃ+Ă+ǂ+ʂ+˂+͂+̂+ɂ+΂+т+҂+Ԃ+ӂ+Ђ+Ղ+ς+ւ+ق+ڂ+܂+ۂ+؂+݂+++++߂++ނ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ƒ+ă++Ń+ʃ+˃+Ƀ+̃+΃+̓+ȃ+σ+Ѓ+ǃ+у+Ճ+փ+ԃ+׃+ڃ+؃+ۃ+Ӄ+܃+++++++߃+++ރ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++„+++Ä+Ą++ń+Ȅ+Ʉ+DŽ+̄+̈́+ʄ+˄+ф+҄+Є+ӄ+Ԅ+τ+Մ+ڄ+ۄ+ل+܄+߄+݄++ބ+؄+++ׄ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++…+Ņ+Å+ƅ+ą++Dž+ȅ++Ʌ+̅+ͅ+˅+΅+Ѕ+х+υ+ԅ+Յ+҅+Ӆ+څ+ۅ+م+܅+߅+݅++ޅ+؅+++ׅ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++†+Æ+++Ɔ+dž+ņ+Ȇ+ʆ+ˆ+Ɇ+Ά+φ+̆+͆+҆+ӆ+ц+Ԇ+ֆ+׆+Ն+چ+ۆ+؆+ن+݆+ކ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++‡+Ç+++ȇ+ɇ+LJ+ʇ+͇+ˇ+·+̇+Ƈ+χ+Ї+Ň+ч+ԇ+Շ+Ӈ+؇+ه+և+ׇ+އ+߇+݇++++++܇+++ۇ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++È+Ĉ+ˆ+Lj+Ȉ+ň+ƈ+ˈ+̈+ʈ+ψ+Ј+͈+Έ+ӈ+Ԉ+҈+׈+؈+Ո+ֈ+ۈ+܈+ڈ+߈++݈+ވ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++‰+++É+++lj+ȉ+ʉ+ˉ+͉+Ή+щ+Љ+҉+ԉ+Չ+++Ɖ+++ډ+ۉ+݉+ى+މ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Ċ+Ŋ+Ê+Ɗ+ʊ+͊+Њ+ъ+ӊ+Ɋ+׊+ي+ڊ+NJ+Պ+Š+܊++++ߊ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++‹+ŋ+Nj+ȋ+ċ+ɋ+̋+͋+ˋ+΋+Ӌ+ԋ+ҋ+Ջ+؋+֋+ً+׋+ы+ڋ+݋+ދ+܋+ߋ++++ۋ++++++++++++++++++++Ћ++++++++++++++++++++++++++++++++++++++++++++++++++++Œ+Ō+ƌ+Č+nj+ʌ+Ȍ+ˌ+Ɍ++̌+ό+Ќ+Ό+ь+Ҍ+ӌ+͌+Ԍ+ڌ+ی+ٌ+܌+ތ++++֌++++++++++++++++++++++++++++++++++++++++++++++++++Í+ō+ƍ+ɍ+ʍ+̍+ȍ+͍+Ѝ+э+Ӎ+ύ+ԍ+׍+؍+ڍ+֍+ۍ+ލ+ߍ++ݍ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Ž+Î+Ŏ+Ȏ+Ɏ+ˎ+ǎ+̎+ώ+Ў+Ύ+ю+Ԏ+Ҏ+Վ+؎+َ+ێ+׎+܎+ߎ++ގ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Ï++ď+Ə++Ǐ+ʏ+ˏ+͏+̏+ɏ+Ώ+Ϗ+Џ+ӏ+׏+؏+֏+ُ+ڏ+ݏ+ޏ++ҏ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Ő+Ɛ+Đ+ɐ+ʐ+ǐ+Ȑ+ϐ+А+ΐ+ѐ+Ԑ+Ґ+Ր+Ӑ+͐+֐+א+̐+ؐ+ې+ܐ+ڐ+ߐ++ݐ+ސ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++đ+ő+Ñ+Ƒ+ɑ+Ǒ+ʑ+ȑ+‘+ˑ+̑++͑+Б+ё+ϑ+ԑ+Ց+ґ+ӑ+ؑ+ّ+ב+ڑ+ۑ+ܑ+++++++++ߑ+++ޑ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Ò+Ē+’+Œ+ƒ+ǒ+ʒ+˒+ɒ+Β+ϒ+̒+͒+Ғ+Ӓ+ђ+Ԓ+Ւ+֒+ْ+ڒ+ܒ+ؒ+ݒ+ߒ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Ó++ē+Ǔ+ȓ+Ɠ+˓+̓+ɓ+ʓ+ϓ+Г+Γ+ӓ+ԓ+ѓ+ғ+ד+ؓ+ړ+ٓ+֓+ۓ+ݓ+ޓ+ܓ+ߓ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Ɣ+˔+̔+ʔ+͔+Δ+ɔ+Д+Ӕ+Ԕ+Ҕ+Ք+֔+ה+ޔ+۔+ߔ+++ݔ++++ڔ++ٔ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++•+Õ++ĕ+Ǖ+ȕ+ƕ+ɕ+ʕ+̕+˕+ŕ+͕+ҕ+ӕ+ѕ+ԕ+ו+Օ+ؕ+֕+Е+ٕ+ڕ+ϕ+ە+ߕ++ޕ+++++ݕ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++–+Ö++Ė+ǖ+Ȗ+Ɩ+ɖ+ʖ+̖+˖+Ŗ+͖+і+Җ+Ж+Ӗ+֖+Ԗ+ז+ϖ+ؖ+ۖ+ܖ+ږ+ݖ+++ߖ+++++ޖ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++×+ŗ+Ǘ+ɗ+̗+͗+З+ї+ӗ+ϗ+ԗ+ח+ؗ+ڗ+֗+ۗ+ݗ+ޗ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++˜+Ø+Ƙ+ǘ+ɘ+ʘ+˘+Ϙ+И+Ҙ+ј+Θ+Ә+Ԙ+֘+٘+ژ+ܘ+ݘ+ߘ++ט+ؘ+++++++++++++++++̘+͘+++++++++++++++++++++++++++++++++Ę+Ř++++++++++++++++++++™+Ù+ř+ƙ+ș+ʙ+++Й+љ+ϙ+ҙ+ә+ՙ+֙+ؙ+י+Ι+ٙ+ڙ+ۙ+͙+ܙ+ݙ+ߙ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++š++Ú+Ě+Ś+Ț+ɚ+˚+ʚ+ǚ+̚+͚+Κ+њ+Қ+Ԛ+Ӛ+К+՚+ؚ+ٚ+ۚ+ښ+ך+ܚ+֚+ݚ+++++ߚ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++›+Û+ƛ+Ǜ+ɛ+ʛ+̛+Λ+ě+ś+қ+ӛ+ћ+՛+֛+ԛ+ٛ+ڛ+ܛ+ݛ+ߛ++כ+؛++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++œ+Ü+Ĝ+Ŝ+Ɯ++ǜ+ʜ+˜+ɜ+̜+Μ+Ϝ+М+ќ+Ҝ+Ӝ+͜+Ԝ+ל+؜+֜+ٜ+ۜ+ܜ+ݜ+ޜ+ߜ++ڜ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Ý++ĝ+Ɲ+ǝ+ʝ+˝+͝+̝+ɝ+Ν+ϝ+ѝ+ԝ+՝+ם+؝+ڝ+ܝ+ҝ+ӝ++++++ߝ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Ş+ƞ+Ȟ+Ǟ+Ğ+ɞ+ʞ+̞+˞+͞+Ξ+Þ+Ϟ+Ԟ+՞+מ+֞+Ӟ+؞+ٞ+۞+ڞ+Ҟ+ܞ+ў+ݞ+++ߞ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Ÿ+ß++ğ+ȟ+ɟ+˟+ʟ+ǟ+̟+͟+ϟ+Ο+П+џ+Ɵ+ҟ+ן+؟+ڟ+ٟ+֟+۟+ܟ+ޟ+ݟ+՟+ߟ+ԟ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Š+Ġ+Ǡ+ʠ+ɠ+̠+Ϡ+Π+Ѡ+Ԡ+Ӡ+֠+٠+ؠ+ڠ+ݠ+ܠ+ߠ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++á+¡++ġ+ǡ+ȡ+ơ+ɡ+̡+͡+ˡ+Ρ+ϡ+ѡ+С+ҡ+ԡ+ӡ+ʡ+ա+ء+١+ۡ+ڡ+ס+ܡ+ݡ+ޡ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++¢+++â+Ģ++Ţ+ʢ+ˢ+ɢ+̢+΢+͢+Ȣ+Ϣ+Т+Ң+Ԣ+Ӣ+բ+֢+Ǣ+ע+ݢ+ޢ+ܢ+ߢ+++ۢ++++++ڢ++٢++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++£+ã++ģ++ţ+ʣ+ˣ+ɣ+̣+ͣ+ң+ӣ+ѣ+ԣ+ף+գ+أ+֣+У+٣+ڣ+ۣ+ܣ+ݣ+ϣ+ޣ+++++++ȣ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ƣ+ǣ+++++++¤+++Ȥ+ɤ+Ǥ+ʤ+Ƥ+ˤ+Τ+Ϥ+Ѥ+Ҥ+Ԥ+դ+̤+ͤ+ۤ+ܤ+ޤ+ߤ+٤+ڤ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++¥+ƥ+ǥ+ť+ȥ+ɥ+̥+ͥ+˥+Υ+Х+إ+٥+ץ+ڥ+ۥ+ĥ+ޥ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Ħ+Ŧ+Ǧ+æ+Ȧ+˦+ɦ+̦+ʦ+¦+ͦ+Ϧ+Ц+Φ+Ӧ+Ԧ+Ѧ+Ҧ+ئ+٦+ۦ+צ+ܦ+ߦ+ݦ++ަ+֦+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ç+ħ+§+ŧ+ȧ+Ƨ+ɧ+ǧ++ʧ+˧+̧+ͧ+Χ++ϧ+ѧ++ҧ+է+֧+ԧ+٧+ڧ+ק+ا+++ާ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++¨+Ĩ+Ǩ+Ȩ+ʨ+Ϩ+Ш+Ψ+Ѩ+Ҩ+ͨ+Ԩ+֨+٨+ڨ+ר+ب+ߨ++++++++ި+++++++++++++++++++++++++++++++++++++++++++++++++++++++©+é++++˨+̨+Ʃ+ʩ+̩+ϩ+Щ+ө+թ+ҩ+ש+٩+۩+ߩ++++ީ++++++++++++++ک+ܩ+ݩ+++++++++++++++++++++++++++++++++++++++++++++Ī+Ū+Ǫ+Ȫ+ɪ+Ϊ+Ϫ+Ѫ+Ъ+ͪ+Ҫ+Ԫ+ժ+Ӫ+֪+٪+ڪ+ܪ+۪+ت+ݪ+ߪ+++ު+++++++++++++++++++++++++++++++++++++++++++++++++++++˪+̪++++++++++++++++++++++++«+ë++ū+ɫ+ʫ+̫+˫+ȫ+ͫ+Ϋ+ǫ+Ы+ӫ+ԫ+֫+ի+ث+٫+ҫ+ګ+ݫ+߫++ܫ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++¬+++Ŭ+ì+Ĭ+Ƭ++Ȭ+++̬+ʬ+ˬ+Ҭ+Ӭ+٬+Ԭ+֬+׬+ڬ+լ+۬+ج+ܬ+ݬ+Ѭ+ެ+++++++++++++++++++++++++++++++++++++++++++++Ϭ+Ь+++++++++++++++++++++++++++++++++++++++++ĭ+ŭ+ǭ+ƭ+í+ȭ+ʭ+˭+ɭ+̭+ϭ+Э+ҭ+ѭ+έ+ӭ+խ+֭+ԭ+׭+ڭ+ۭ+ݭ+ܭ+٭+ޭ+߭+++++++++++++ͬ+ά++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++®++Į+Ǯ+Ʈ+ɮ+ˮ+ͮ+Ϯ+Ѯ+Ӯ+ծ+׮+ٮ+ۮ+ݮ+߮++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++į+¯+Ư+ï+ǯ+ů++ȯ+̯+˯+ί+ϯ+Я+ʯ+ѯ+կ+ԯ+ׯ+د+ٯ+ӯ+گ+߯++++ޯ+++ݯ+++ܯ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++°+ð+++ư+Ȱ+ɰ+Ű+̰+Ͱ+ʰ+˰+ϰ+а+Ӱ+Ѱ+԰+Ұ+װ+ذ+ڰ+۰++++++߰+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ݰ+ް+++++++++++++±+ñ++ű+ȱ+ʱ+˱+ϱ+б+ұ+ѱ+Ա+ձ+α+ֱ+۱+ܱ+ڱ+ݱ++ޱ++߱+ٱ++++++++++++++ر++̱+ͱ++++++++++++++++++հ+ְ++++++++++++++++++++++++++++++++++++++++++++++²+++Ų+Dz+Ȳ+IJ+˲+̲+ɲ+ʲ+ϲ+Ҳ+Ѳ+Բ+β+ײ+ز+ղ+ֲ+۲+ݲ+޲+ڲ+++߲++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++³++ó+ų+Ƴ+++ɳ+˳+̳+г+ѳ+ӳ+ҳ+ճ+ֳ+ϳ+׳+ܳ+ݳ+۳+޳++߳+++ڳ++++++++++++++ٳ++++++++++++++++++++ͳ+γ++++++++++++++++++++++++++++++++++++++++++++++++ô+ƴ+Ǵ+ɴ+Ŵ+ʴ+++ϴ+Ѵ+δ+Ҵ+ʹ+Ӵ+״+ٴ+ִ+ڴ+մ+۴+޴+ߴ+ݴ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++µ+Ƶ+ǵ+ĵ+ŵ+˵+̵+͵+ε+е+ѵ+ҵ+ӵ+յ+ֵ+۵+ܵ+ݵ+޵++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ö+Ķ+ƶ+Ŷ+¶+Ƕ+ȶ+ɶ+̶+Ͷ+϶+ζ+˶+ж+Ѷ+Ҷ+ն+ֶ+ض+׶+Զ+ٶ+ڶ+۶+޶+߶+++ݶ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ŷ+Ʒ+ȷ+Ƿ+ķ+ɷ+ʷ+÷+̷+η+Ϸ+ҷ+ӷ+ѷ+Է+շ+ַ+ٷ+ڷ+ܷ+۷+ط+ݷ+޷+߷++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ĸ+Ÿ+Ǹ+ʸ+˸+͸+̸+ɸ+θ+ϸ+ø+¸+Ҹ+ո+ָ+ظ+Ը+ٸ+ݸ+޸+ܸ+߸++۸+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++¹+Ĺ+ù++Ź+ƹ+ȹ+ɹ+˹++̹+Ϲ+й+ι+ѹ+ҹ+ع+ֹ+ݹ+޹+ܹ+߹++++++++Թ+չ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ú+ĺ+ƺ+º+Ǻ+ʺ+˺+ɺ+̺+ͺ+Ӻ+Ѻ+غ+ٺ+׺+ں+ۺ+ܺ+Ϻ+к++++++ߺ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++û+ǻ+Ȼ+ƻ+ɻ+ʻ+Ż+̻+λ+ѻ+ӻ+ٻ+ڻ+ܻ+ػ+ݻ+++߻++++++++++++++++++++++++++++++++++++ֻ+׻++++++++++++++++++++++++++++ü+ļ+¼+ż+Ǽ+Ƽ++ȼ+̼+ͼ+˼+μ+м+ϼ+ʼ+Ѽ+ɼ+Ҽ+ռ+ּ+ؼ+Լ+ټ+ۼ+޼+ݼ+++++++++++++++++++++++++++Ի+ջ+++++++++++++++++++++++++++++++++++++++++++++++++++Ľ+Ž+½+ý+ǽ+Ƚ+ɽ+ʽ+̽+ͽ+ӽ+ҽ+ս+ؽ+׽+ڽ+ܽ+޽+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++Ǿ+Ⱦ+ƾ+ɾ+ʾ+ž+̾+Ͼ+о+Ҿ+ξ+Ӿ+׾+ؾ+־+پ+ھ+վ+ܾ+޾++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ÿ+Ŀ+ƿ+ſ+¿+ǿ+ȿ+ɿ+̿+Ϳ+˿+ο+Ͽ+п+ӿ+Կ+ֿ+տ+ҿ+׿+ؿ+ٿ+ܿ+ݿ+߿+޿+ۿ+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++þ+ľ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++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ɭ<ʭ<̭<ȭ<ͭ<Э<έ<ѭ<ϭ<ǭ<ҭ<ӭ<ƭ<ԭ<ŭ<խ<ح<٭<׭<ڭ<߭<<<ޭ<<<<<<ݭ<<<ܭ<<<<ۭ<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<®<<î<Ȯ<ɮ<ˮ<Ǯ<̮<Ϯ<ͮ<Ю<ή<Ʈ<Ѯ<Ү<Ů<Ԯ<ծ<Ӯ<Į<֮<ٮ<ڮ<خ<ۮ<ݮ<ޮ<ܮ<߮<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<¯<į<ï<<ů<Ư<ȯ<ɯ<<ʯ<̯<<ͯ<Я<ѯ<ӯ<ү<ϯ<ԯ<ׯ<د<گ<ٯ<֯<ۯ<կ<ܯ<߯<<<<ޯ<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<ð<°<<İ<<Ű<ɰ<ʰ<̰<˰<Ȱ<Ͱ<ΰ<ǰ<ϰ<԰<հ<Ӱ<ְ<װ<Ұ<ذ<Ѱ<ٰ<ܰ<ݰ<۰<ް<߰<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<ñ<ı<Ʊ<±<DZ<̱<ͱ<˱<α<ϱ<ʱ<б<ɱ<ѱ<Ա<ձ<ӱ<ֱ<ױ<ر<۱<ܱ<ޱ<ڱ<߱<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<²<<<ò<IJ<<Ų<ʲ<˲<ɲ<̲<ϲ<Ͳ<в<β<Ȳ<Ѳ<Ҳ<Dz<Ӳ<ղ<ֲ<ײ<ز<ٲ<ڲ<۲<ܲ<޲<߲<<<<<<ݲ<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<dz<ȳ<Ƴ<ɳ<̳<ʳ<ͳ<˳<ų<γ<ϳ<ij<г<ó<ѳ<׳<س<ֳ<ٳ<ܳ<ڳ<ݳ<۳<ճ<޳<߳<Գ<<<<ӳ<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<ô<<Ĵ<´<<Ŵ<ƴ<<Ǵ<̴<ʹ<˴<δ<Ѵ<ϴ<Ҵ<д<ʴ<Ӵ<Դ<ɴ<մ<ڴ<۴<ٴ<ܴ<ߴ<ݴ<<޴<ش<<<״<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<ǵ<ȵ<Ƶ<ɵ<̵<ʵ<͵<˵<ŵ<ε<ϵ<ĵ<е<õ<ѵ<׵<ص<ֵ<ٵ<ܵ<ڵ<ݵ<۵<յ<޵<ߵ<Ե<<ӵ<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<¶<ö<<Ķ<ƶ<Ŷ<<Ƕ<ȶ<<ɶ<ζ<϶<Ͷ<ж<Ӷ<Ѷ<Զ<Ҷ<̶<ն<ֶ<˶<׶<ܶ<ݶ<۶<޶<<߶<<<ڶ<<<ٶ<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<·<÷<<ķ<<ŷ<˷<̷<ʷ<ͷ<з<η<ѷ<Ϸ<ɷ<ҷ<ӷ<ȷ<Է<Ƿ<շ<۷<ܷ<ڷ<ݷ<<޷<<߷<ٷ<<<ط<<׷<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<ø<Ÿ<Ǹ<ɸ≮<͸<ϸ<и<Ѹ<Ӹ<׸<ظ<ڸ<ٸ<ָ<۸<ܸ<<<<<߸<<<<<<<<<<<<<޸<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<Ը<ո<<<<<<<<<<<<<<<<<<<<<<¹<ǹ<ȹ<ƹ<ɹ<ʹ<˹<Ź<̹<͹<ҹ<ӹ<չ<Թ<ѹ<ֹ<׹<ع<ڹ<۹<<<Ĺ<޹<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<º<ú<<ĺ<ź<<Ⱥ<<ʺ<ͺ<κ<к<̺<Ѻ<ֺ<׺<ٺ<غ<պ<ں<ۺ<Ժ<ݺ<<<<<<<<ߺ<<Ӻ<޺<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<Ż<ƻ<Ļ<ǻ<Ȼ<ɻ<û<ʻ<λ<ϻ<ͻ<л<ѻ<ӻ<Ի<ֻ<˻<<<޻<߻<ݻ<<<<ܻ<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<¼<Ƽ<Ǽ<ɼ<ȼ<ż<ʼ<˼<ϼ<м<μ<Ѽ<Ҽ<ü<ּ<׼<ؼ<ټ<ۼ<ܼ<ݼ<޼<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<½<<ý<ǽ<Ƚ<ʽ<ɽ<ƽ<˽<̽<Ž<ν<ҽ<ӽ<ս<Խ<ѽ<ֽ<׽<н<ٽ<Ľ<Ͻ<ڽ<ݽ<޽<<߽<ܽ<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<¾<þ<ž<ľ<<ƾ<Ǿ<ʾ<˾<;<<Ͼ<Ӿ<Ծ<Ҿ<վ<־<׾<<<ܾ<ݾ<۾<޾<߾<<ھ<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<Ŀ<ſ<ǿ<ʿ<˿<Ϳ<̿<ɿ<ο<Ͽ<<<<<տ<ֿ<Կ<׿<ڿ<ۿ<ٿ<ܿ<ؿ<ݿ<<<߿<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<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==========ʼn=Ɖ=ȉ=ĉ=ɉ=̉=ʉ=͉=É=Ή=҉=Ӊ=щ=ԉ=Չ=Љ=։=ډ=ۉ=݉=ى=މ==߉==؉===========================================================================‰===Ċ=Ê=Ɗ=Ɋ=Ȋ=ˊ=Ί=͊=Њ=ӊ=Ҋ=Պ=؊=׊=ڊ=݊=܊=ފ===================================================================‹=ċ==Ƌ=ȋ=ʋ=ɋ=ˋ=΋=ϋ=ы=͋=ҋ=Ջ=֋=ԋ=׋=؋=ً=܋=ۋ======================================================================Ì==Č=Œ==Ō=ƌ=nj=͌=Ό=Ќ=̌=ь=ӌ=ʌ=֌=Ɍ=،=܌=݌=ی=ތ=ߌ=ڌ============================================================================ō=Í=ƍ=č==Ǎ=ȍ==ʍ=ύ=Ѝ=ҍ=΍=Ӎ=֍=ԍ=׍=Ս=͍=؍=ٍ=̍=ۍ====ߍ====ލ===ݍ============================================================================Ž=Î=Ŏ==Ǝ=Ȏ=ǎ==Ɏ=ʎ=̎=ˎ==͎=Ҏ=ӎ=Վ=ю=֎=َ=׎=ڎ=؎=Ў=ێ=܎=ގ=ݎ=ώ=ߎ=====================================================================================Ə=Ǐ=ŏ=ȏ=ɏ=ď=ʏ=Ï=ˏ=Ϗ=Џ=ҏ=Ώ=ӏ=֏=ԏ=׏=͏=؏=ۏ=܏=ڏ=ݏ======ߏ==ޏ==============================================================================Ð==Đ=ǐ=Ȑ=Ɛ=ɐ=͐=ΐ=̐=ϐ=А=ː=ѐ=ʐ=Ґ=֐=א=ِ=Ր=ڐ=ݐ=ې=ސ=Ԑ=ߐ================================================================================đ==ő=Ñ=‘==Ǒ==ɑ=ˑ=͑=̑=Α=ё=Ց=Б=ؑ=ݑ=ޑ====================================================================================’==Ò=ǒ=Ȓ=ʒ=ƒ=˒=Β=̒=ϒ=Œ=В=Ӓ=Ԓ=Ғ=Ւ=ْ=ڒ=ؒ=ے=ܒ=ג=ݒ=֒=ޒ=============================================================================“=Ó=ē=œ=Ɠ=Ǔ=ɓ=ȓ=ʓ==̓========͓=Γ=ϓ=ғ=Г=ӓ=ѓ=ד=ؓ=֓=ٓ=ݓ=ޓ=ܓ=ߓ==ۓ==ړ==================================================================================”=Ô==Ĕ=Ȕ=ɔ=ǔ=ʔ=˔=Ɣ=̔=Ŕ=͔=ԓ=Փ=Ӕ=Ԕ=Ҕ=Ք=ה=֔=є=ؔ=ٔ=Д=۔=ݔ==ߔ=============================================================================•=ƕ=Ǖ=ȕ=ɕ=ʕ=˕=̕=͕=ϕ=Ε=Е=ŕ=ҕ=ĕ=ӕ=֕=ו=Օ=ؕ=ڕ=ە=ٕ=ܕ=ߕ==ޕ=====================================================================ۑ=ܑ===========Ö=Ė=–=Ŗ=Ɩ=ǖ===̖=͖=˖=Ζ=ϖ=ʖ=і=Ӗ=֖=ז=Ԗ=Ֆ=ܖ=ݖ========ߖ=======ۖ===================================================—=Ɨ=Ǘ=ŗ=ȗ=ɗ=ė=˗=Η=ϗ=ї=͗=җ=՗=֗=ԗ=ח=ؗ=ٗ=ܗ=ݗ=ߗ=ۗ==========================================================================Ř=Ƙ=Ș=Ę=ɘ=̘=ʘ=͘=˘=Ø=Θ=Ϙ=Ә=Ԙ=Ҙ=՘=֘=ј=ؘ=˜=٘=ۘ=ޘ===================================================================================™=ę=ə=ș=˙=Ι=͙=Й=ә=ҙ=ՙ=ؙ=י=ڙ=ݙ=ܙ=ߙ======================================================Ú=Ě=ƚ=š=ǚ=˚=̚=ʚ=͚=Κ=ɚ=К=Ӛ=Ԛ=֚=Қ=ך=ښ=ۚ=ٚ=ܚ=ݚ=ޚ=============================================================================›=ś=ƛ=ț=ɛ=Ǜ=ʛ=ě=˛=͛=Λ=ћ=ϛ=Л=ԛ=՛=כ=ӛ=؛=ۛ=ܛ=ڛ=ݛ=ޛ=ߛ=======================================================================œ==Ü=Ŝ=Ɯ=͜=Μ=̜=Ϝ=М=˜=Ҝ=Ԝ=՜=ۜ=ܜ=ޜ===ڜ=ߜ=====ٜ===؜========================================================================Ý=ĝ==ŝ=ɝ=ʝ=ȝ=˝=̝=Ɲ=ǝ==Н=֝=ם=՝=؝=ܝ=ݝ=۝=ޝ=ߝ=ٝ=ڝ=ӝ=ԝ===ҝ=====================================================================ž=Þ==Ğ=ƞ==Ǟ=˞=̞=ʞ=͞=Ξ=ɞ=О=Ҟ=Ԟ=՞=؞=ٞ=֞=מ=ޞ=ߞ=ݞ============================================================================================ğ=ş=ǟ=ß=ȟ=˟=ɟ=̟=ʟ=Ÿ=͟=Ο==џ=П==ҟ=ϟ=՟=֟=ԟ=ן=۟=ܟ=ޟ=ڟ=ߟ=====ٟ===؟===ӟ=================================================================================Ơ=Š=Ġ=à=Ǡ=Ƞ= =̠=͠=ˠ=Π=Ѡ=Ϡ=Ҡ=Р=ʠ=Ӡ=נ=ؠ=ڠ=֠=۠=ޠ=ܠ=ߠ=ݠ=ՠ===Ԡ===ɠ=============================================================================¡=á==š=ɡ=ʡ=̡=ȡ=͡=ϡ=ҡ=ԡ=ա=ѡ=ء=١=֡=ס=ܡ=ݡ===ߡ========С=ڡ=ۡ========================================================¢==â=Ģ=Ţ===ơ=ǡ=ˢ=̢=ʢ=͢=΢=Ѣ=Ң=Т=Ӣ=բ=Ԣ=ɢ=֢=ע=آ=ۢ=ܢ=ڢ=ݢ=ߢ==ޢ===============================================================================£=ģ=ǣ=ƣ=ɣ=Σ=ϣ=ͣ=ѣ=̣=ӣ=գ=أ=٣=֣=ף=ݣ==================ߣ=====================ʣ=ˣ========================================ä=Ť=ɤ=ʤ=Ȥ=ˤ=̤=Ǥ=Τ=Ҥ=Ӥ=դ=Ѥ=֤=ؤ=ۤ=ݤ=ޤ=ڤ===ߤ==============٤=================================================å=ĥ=¥=ť=ƥ==ȥ===̥=ͥ=˥=Υ=ϥ=Х===Ϥ=Ф=ե=֥=ԥ=ץ=٥=ڥ=إ=ۥ=ߥ==ޥ===ݥ================================================================================æ=¦==Ħ==Ŧ=Ȧ=ɦ=˦=ʦ=Ǧ=̦=Ϧ=Ц=Ҧ=Ѧ=Φ=Ӧ=ͦ=Ԧ=צ=ئ=ڦ=٦=֦=ۦ=ަ=ߦ===ݦ==ܦ=================================================================================§=ŧ=Ƨ=ȧ=ǧ=ħ=ɧ=ç=ʧ=ͧ=Χ=Ч=ϧ=̧=ѧ=ԧ=է=ק=֧=ӧ=ا=ҧ=٧=ݧ=ާ==ܧ======ۧ====================================ל==================ɜ=ʜ=================Ĩ=Ũ=è=ƨ=Ǩ=¨=ɨ=ͨ=Ψ=̨=Ϩ=Ш=˨=Ҩ=֨=ר=ը=ب=٨=Ԩ=ۨ=ߨ==ި===ݨ============================================================================©=ũ=Ʃ=ĩ=ǩ=ȩ=ɩ=̩=ͩ=ϩ=˩=Щ=ҩ=ө=թ=ש=====٩===ک===۩=ݩ=====================================================ê=Ū=Ȫ=ɪ=̪=ͪ=Ϫ=˪=Ъ=Ӫ=Ԫ=Ҫ=ժ=֪=ת=ڪ=۪=ݪ=٪=ު=============================================================================«=ë=ī=ȫ=ɫ=ǫ=ʫ=˫=ƫ=ͫ=Ы=ѫ=ӫ=ϫ=ԫ=׫=ث=֫=٫=ܫ=ݫ=߫==ޫ==۫========================================================================¬=Ĭ==Ŭ=Ȭ=ɬ=ˬ=Ǭ=̬=Ϭ=Ь=Ҭ=ά=Ӭ=լ=֬=ݬ=ެ=ܬ=߬==۬=============================================================================­=í==ĭ=ȭ=ɭ=ǭ=ʭ=˭=ŭ=ƭ==ϭ=ӭ=ԭ=ҭ=խ=٭=ڭ=ح=ۭ=ܭ=֭=׭=ѭ===========================================================================î==Į==Ů=Ǯ=Ȯ=ή=Ϯ=Ѯ=Ю=Ү=Ӯ=ͮ=Ԯ=֮=̮=׮=ۮ=ܮ=ڮ=ݮ=ޮ=ٮ==============================================================================================į=ů=ï=Ư=ʯ=˯=ɯ=̯=ϯ=ͯ=Я=ί=ȯ=ѯ=ү=ǯ=կ=ԯ=¯=֯=ӯ=ٯ=گ=د=ۯ=߯==ޯ======ݯ===ܯ===ׯ=======================================ʮ=ˮ===============================°=ư=ǰ=ɰ=Ű=ʰ=̰=ϰ=Ѱ=Ұ=ΰ=հ=ְ=Ӱ=԰=ٰ=ڰ=ݰ=ް=ܰ=߰=======Ͱ=װ=ذ============================================================±===ð=İ=ȱ=ɱ=DZ=ʱ=˱=α=ϱ=ͱ=б=ұ=ѱ=Ʊ=ӱ=Ա=ձ=ر=ٱ=ױ=ڱ=ܱ=ݱ=۱=ޱ================================================================================IJ=ò=Ʋ=˲=̲=ʲ=β=ɲ=в=Ҳ=ղ=ֲ=Ӳ=Բ=ڲ===߲=============޲==ܲ=ݲ====================Dz=Ȳ=========================================³=Ƴ=dz=ų=ȳ=ɳ=ij=˳=ϳ=г=ҳ=γ=ӳ=ճ=س=ڳ=۳=׳=޳=߳=ܳ=ݳ=============ֳ======================================================ô===Ǵ=ȴ=ƴ=ɴ=ʴ=˴===̳=ͳ=д=Ѵ=ϴ=Ҵ=Դ=մ=Ӵ=ִ=ڴ=۴=ٴ=ܴ=ݴ=ش=ߴ=====================================================================================µ===õ=Ƶ=ǵ=ɵ=ȵ=ŵ=ʵ=ĵ=˵=ε=ϵ=ѵ=е=͵=ҵ=յ=ֵ=ص=׵=Ե=ٵ=ӵ=ڵ=޵=ߵ=ݵ======ܵ==========================================================٬=ڬ===============¶=ö=ȶ=ɶ=Ƕ=ʶ=˶=ƶ=Ͷ=Ѷ=Ҷ=ж=Ӷ=Զ=϶=ֶ=ڶ=۶=ٶ=ܶ=ݶ=ض=߶==============================================================================·=÷=ŷ==Ʒ=ɷ=ʷ=ȷ=˷=̷=ͷ=з=ѷ=ӷ=Ϸ=Է=ַ=׷=ٷ=۷=Ķ=Ŷ===ݷ===޷===߷====================================================ĸ=Ÿ=ȸ=ɸ=˸=Ǹ≠=ϸ=и=θ=Ѹ=Ҹ=Ӹ=ָ=׸=ٸ=ո=ڸ=޸=߸=ݸ===ܸ==========================================================================Ĺ=Ź=ù=ƹ=ǹ=¹=ɹ=̹=͹=Ϲ=˹=й=ӹ=Թ=ҹ=չ=ع=ٹ=۹=ܹ=ڹ=ݹ=׹=޹===========================================================================ĺ=ź=Ǻ=ú=Ⱥ=˺=̺=κ=ʺ=Ϻ=Ѻ=Һ=ٺ=ں=غ=ۺ=ܺ=׺=޺================================================================================Ļ=Ż=û=ƻ=ǻ==»==˻=ϻ=л=λ=ѻ=ջ=ֻ=Ի=׻=ػ=һ=ӻ=ͻ=ܻ============߻====޻==============================================================ż=Ƽ=ȼ=ļ=ɼ=̼=ʼ=ͼ=˼=ü=μ=Ѽ=Ҽ=м=Ӽ=׼=ؼ=ڼ=ּ=ۼ=޼=ܼ=߼=ݼ=ռ===Լ=ϼ=¼==================================================================================½=ý==Ž=Ƚ=ɽ=ǽ=ʽ=ν=Ͻ=ͽ=н=ѽ=̽=ӽ=ս=ٽ=ڽ=ؽ=۽=ܽ=׽=޽================================================================¾====ľ===ɾ=Ǿ=Ⱦ=̾=Ѿ=Ҿ=о=Ӿ=Ծ=Ͼ=־=ʾ=˾=ھ=۾=پ=ܾ=ݾ=޾===߽===============================================================================¿===ſ=ƿ=ɿ=ʿ=ȿ=˿=Ϳ=п=Ͽ=ҿ=ӿ=̿==ÿ=Ŀ=׿=ؿ=ֿ=ٿ=ڿ=ۿ=ݿ==߿=========================================================================================================================================================================================================================================================================================================================================պ=ֺ=====================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================================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ޝ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@Þ@Ğ@ƞ@Ş@ž@Ǟ@@Ȟ@˞@̞@Ξ@͞@ʞ@Ϟ@Ҟ@Ӟ@՞@Ԟ@ў@֞@О@מ@ڞ@۞@ݞ@ܞ@ٞ@ޞ@@@@@@@ߞ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ß@ğ@Ɵ@ş@Ÿ@ǟ@ʟ@˟@͟@̟@ɟ@Ο@ȟ@ϟ@ҟ@ӟ@՟@ԟ@џ@֟@ٟ@ڟ@ܟ@۟@؟@ݟ@ן@ޟ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ @Š@Ơ@Ƞ@Ǡ@Ġ@ɠ@̠@͠@Ϡ@Π@ˠ@Р@ʠ@Ѡ@Ԡ@ՠ@נ@֠@Ӡ@ؠ@۠@ܠ@ޠ@ݠ@ڠ@ߠ@٠@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@¡@á@š@ġ@@ơ@ɡ@ʡ@̡@ˡ@ȡ@͡@ǡ@Ρ@ѡ@ҡ@ԡ@ӡ@С@ա@ء@١@ۡ@ڡ@ס@ܡ@֡@ݡ@@@@@ߡ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@¢@Ţ@Ģ@Ǣ@ɢ@ˢ@͢@Ϣ@Ѣ@Ӣ@բ@ע@٢@ܢ@ݢ@@@@@@ߢ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@£@@ã@ģ@ǣ@@@ƣ@ȣ@ɣ@ʣ@ˣ@̣@@ͣ@ϣ@@У@ԣ@գ@ӣ@֣@ף@ң@٣@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ޣ@ߣ@@@@@@@@@@ܣ@ݣ@@@@@@@@@@@@@@@@@@@@@@@@@ä@@Ť@Ǥ@ɤ@Ȥ@ʤ@ͤ@Τ@Ф@̤@Ѥ@Ԥ@դ@פ@֤@Ӥ@ؤ@ۤ@ܤ@ڤ@ݤ@٤@ޤ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@¥@å@ƥ@ǥ@ɥ@ť@ʥ@ͥ@Υ@̥@ϥ@ҥ@ӥ@ѥ@ԥ@ե@ץ@إ@Х@٥@ܥ@ݥ@ߥ@ޥ@ۥ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@Ħ@Ŧ@æ@Ʀ@Ǧ@¦@ɦ@̦@ͦ@Ϧ@˦@Ц@Ҧ@֦@צ@զ@ئ@٦@Ԧ@ۦ@ߦ@@@ަ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ç@@§@Ƨ@˧@̧@ʧ@ͧ@Χ@ɧ@Ч@ħ@ŧ@ԧ@է@ӧ@֧@ק@ا@@@ܦ@ݦ@ާ@ߧ@ݧ@@@@@@@@ܧ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@¨@Ĩ@ƨ@Ȩ@ʨ@̨@Ψ@Ш@Ҩ@Ԩ@֨@٨@ڨ@ݨ@ި@ܨ@ߨ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@©@ĩ@@ũ@ǩ@Ʃ@@ȩ@ɩ@˩@ʩ@@̩@ѩ@ҩ@ԩ@Щ@թ@ة@֩@٩@ש@ϩ@ک@۩@Ω@ܩ@@@@@@@@@@ߩ@@@@@ީ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ª@@@ê@Ȫ@ɪ@˪@Ǫ@̪@Ϫ@ͪ@Ъ@Ϊ@ƪ@Ѫ@Ҫ@Ԫ@Ӫ@Ū@ժ@ڪ@۪@٪@ܪ@ު@ݪ@ت@ߪ@@ת@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@«@ë@ī@ū@@ƫ@ɫ@ʫ@˫@̫@ͫ@Ϋ@ȫ@ϫ@ҫ@ӫ@ԫ@ի@֫@׫@ѫ@ث@۫@ܫ@ݫ@ޫ@߫@@ګ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@Ƭ@Ǭ@Ȭ@ɬ@ʬ@ˬ@Ĭ@Ŭ@ͬ@̬@ά@ì@Ь@¬@Ѭ@Ԭ@լ@Ӭ@֬@٬@ڬ@ج@۬@ެ@߬@ݬ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@­@í@ŭ@@ƭ@ʭ@˭@ͭ@ɭ@έ@Э@ȭ@ѭ@ԭ@խ@ӭ@֭@ڭ@ۭ@٭@ܭ@ݭ@ح@ޭ@׭@߭@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@î@Į@®@Ů@Ʈ@Ȯ@Ǯ@@ɮ@ͮ@ή@Ю@̮@Ѯ@Ԯ@Ү@ծ@ˮ@֮@ٮ@ڮ@خ@ۮ@ޮ@߮@ݮ@@@@@ܮ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@¯@į@@ů@ȯ@ɯ@ǯ@ʯ@ͯ@ί@̯@ϯ@Я@ү@ѯ@˯@ӯ@ׯ@د@گ@֯@ۯ@ޯ@ܯ@߯@կ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@°@@ð@@İ@Ȱ@ɰ@˰@ǰ@̰@ϰ@Ͱ@а@ư@Ѱ@԰@հ@Ӱ@ְ@ڰ@۰@ٰ@ܰ@ݰ@ذ@ް@װ@߰@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ı@ű@DZ@Ʊ@ñ@ȱ@±@ɱ@ͱ@α@б@̱@ѱ@Ա@ұ@ձ@˱@ֱ@ڱ@۱@ٱ@ܱ@ݱ@ر@ޱ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@²@@ò@IJ@Ų@Ʋ@Dz@Ȳ@@ɲ@Ͳ@β@̲@ϲ@Ҳ@в@Ӳ@˲@Բ@ز@ٲ@ײ@ڲ@۲@ܲ@ݲ@޲@߲@ֲ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ij@³@ų@ó@@Ƴ@ȳ@ɳ@ʳ@˳@̳@ͳ@ѳ@ҳ@Գ@г@ճ@׳@ֳ@ϳ@س@ڳ@۳@ܳ@ݳ@޳@߳@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ٳ@γ@@@@@@@@@@@@dz@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ô@´@Ŵ@ȴ@Ǵ@ʴ@ʹ@̴@ϴ@Ѵ@Ӵ@մ@״@ٴ@۴@ݴ@ߴ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@õ@@ĵ@ǵ@ŵ@ȵ@Ƶ@@ɵ@ʵ@@̵@ѵ@ҵ@Ե@е@յ@׵@ֵ@ϵ@ص@ٵ@ε@ڵ@ߵ@@@޵@@@@ݵ@@@@@ܵ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@Ķ@Ŷ@Ƕ@ö@ȶ@ʶ@ɶ@¶@˶@̶@ζ@Ͷ@@϶@Զ@ն@׶@Ӷ@ض@۶@ٶ@ܶ@ڶ@Ҷ@ݶ@޶@@߶@Ѷ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@÷@@ķ@·@@ŷ@Ʒ@ȷ@Ƿ@@ɷ@η@Ϸ@ѷ@ͷ@ҷ@շ@ӷ@ַ@Է@̷@׷@ط@ڷ@ٷ@˷@۷@޷@߷@@@@@ݷ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@¸@@Ƹ@Ÿ@Ǹ@ʸ@ɸ@˸@θ@͸@ϸ@Ҹ@Ѹ@Ӹ@ָ@ո@׸@ڸ@ٸ@۸@ø@ĸ@@@@߸@@@޸@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@¹@ƹ@ǹ@Ź@ȹ@ɹ@Ĺ@ʹ@ù@˹@Ϲ@й@ҹ@ι@ӹ@ֹ@Թ@׹@͹@ع@۹@ܹ@ڹ@ݹ@@@@@@߹@@޹@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@º@ź@ƺ@ĺ@Ǻ@ʺ@˺@ɺ@̺@ͺ@Ϻ@κ@Ⱥ@к@Ӻ@Ժ@ֺ@Һ@׺@ۺ@ܺ@޺@ں@ߺ@@ٺ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@û@Ļ@ƻ@»@ǻ@ʻ@Ȼ@˻@@̻@ϻ@л@λ@ѻ@Ի@ջ@ӻ@ֻ@׻@ٻ@ػ@һ@ڻ@޻@߻@@ݻ@@@@@ܻ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@¼@Ƽ@Ǽ@ż@ȼ@ɼ@ļ@ʼ@ü@˼@μ@ϼ@Ѽ@ͼ@Ҽ@Լ@׼@ּ@ټ@ڼ@@ݼ@޼@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@Ľ@Ž@ǽ@ý@Ƚ@˽@ɽ@̽@ʽ@½@ͽ@ν@@Ͻ@Խ@ս@׽@ӽ@ؽ@۽@ٽ@ܽ@ڽ@ҽ@ݽ@޽@@߽@ѽ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@¾@@þ@@@ľ@ž@Ǿ@ƾ@@Ⱦ@;@ξ@о@̾@Ѿ@Ծ@Ҿ@վ@Ӿ@˾@־@׾@ʾ@ؾ@ݾ@޾@@ܾ@@@@@@۾@@@@@ھ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@¿@ÿ@@Ŀ@ƿ@ǿ@ȿ@ɿ@ʿ@˿@Ϳ@ο@Ͽ@п@ѿ@ҿ@Կ@տ@ֿ@׿@ؿ@ٿ@ۿ@ܿ@ݿ@޿@߿@@@@@@@@@@@@@@ڿ@@@@@@̿@ӿ@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@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ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffggggggggggggggggggggggggggggggggggggggggggggggggggggggggĀgŀgǀgÀgȀgˀg̀gʀg̀gЀgрgπgҀgՀgրgԀg׀g؀gӀgڀgـg΀gۀgހg߀gg݀ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggÁgŁgāggƁgǁggɁgˁg΁ǵgρgӁgԁgՁgҁgׁgЁgсg܁g݁gށgہggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggÂgłgƂgɂgʂĝgςgЂgтg΂gӂgׂg؂gڂgւgۂg݂gggg߂gggggggggggggggggނggggggggggggggggggggggggggggggggggggggggggggggggggƒgԂgՂgŃgăgȃgɃgʃg̓g΃g̃gσgуgЃgǃg҃gӃgԃg׃g؃gڃgփgۃg݃gރg߃gggggggǂgȂggggggggggggggggggggggggggggggggggggggggggffggffffggggggggggggggggggggggggggggggĄgńgÄgƄgDŽg„gɄgȄggʄg̈́g΄ḡgτg҄gӄgфgԄgׄg؄gքgلgڄgՄg܄gۄgЄg݄ggg߄ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggƅgŅgȅgʅgυgЅg΅gхg҅gԅgՅgͅgօgمgڅgۅg؅g݅ggggg߅ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg†gņgƆgȆgdžgĆgɆgʆgˆgцgІgӆgՆgچgۆgنg܆g݆g߆gg؆gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggŇgƇgȇgLJgćgɇgʇgÇġgg‡g͇gЇgчgӇg҇gχgԇgՇgևg܇gۇgއggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggÈgňgLjgɈgˈg͈gψgшgӈgՈg׈gوg܈g݈gggg߈gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg‰gĉggʼngȉgɉgˉgljg̉gωgЉg҉gΉgӉg؉gىggggg߉gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggŠgÊgŊgNJgƊgɊgʊgg͊gϊgЊgӊgԊgՊgg֊gيgڊg؊gۊgފgߊg݊ggggg܊gggggggggggggggggggggggggggggggggggg݉gމgggggggggggggggggggggggggggggggggg‹ggËgŋgNjgȋgˋg̋gɋgʋgۉg܉gыgҋgӋgՋg׋g؋g܋g݋gߋgދgۋgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggŒgÌgƌgnjgɌgȌgŌgʌgˌǧgόgЌgҌgьgΌgӌgԌgՌg׌g،gڌgیg݌gߌg֋gًgڋgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggƍgǍgɍgʍgˍg͍g΍gЍgҍgэgԍgՍgōg؍gڍgۍgލgߍggčggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggŎgƎgǎgÎgĎgɎgʎggˎg͎g̎gЎgюgΎgώg֎g׎gَgՎgڎg܎gގgߎggggggg։g׉gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggďgŏgǏgɏgˏg͏gΏgҏgӏgՏgԏgяg֏gُgڏg܏gۏg؏gݏg׏gޏggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggŐgƐgȐgǐgĐgɐgʐgːgϐgАgΐgѐgҐg͐gӐgאgؐg֐gِgڐgՐgېgސgߐgݐgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg‘gőgƑgȑgǑgđgɑg̑g͑gϑgΑgˑgБgʑgёgӑgؑgّgۑgܑgޑggϏgЏggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggɒgg˒g͒gΒgϒgВgӒgےgҒgݒgߒggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg“gēgœg˓gʓg͓gГgϓgғgՓgԓgדgړgٓgܓgߓgޓgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg”ggÔgĔggƔgȔgʔg˔gΔgДgҔgӔgՔg֔g̔g͔gڔgܔgݔgٔgޔggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg•gŕgƕgÕgĕggg˕g͕gΕgЕgѕgϕgҕgԕgՕggg֕gؕgוgٕgەgݕgޕggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg–gÖgggggߕggȖgɖg˖gǖg̖gΖgіgЖgӖgԖgg֖gזgٖgږgߖgޖgggggggggggggggggggggggggggggggggggggggggggggggggggg×gŗgǗgɗg˗g͗gϗgїgӗg՗gחgٗgۗgݗgߗggggggggggggggggggggggggggggggggggggggggggggggggggggg˜ggØgƘgǘgɘgŘgʘg͘gΘgИg̘gјgԘg՘gטgӘgؘgۘgܘgޘgژgߘggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggęgřgǙgƙgÙgșgəg™gʙg͙gΙgЙg̙gљgՙg֙gؙgיgԙgٙgܙgݙgߙgޙgۙgggggggggggggggggggڙgggggәggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggšgÚgƚgǚgɚgȚgŚgʚg˚g̚gΚg՚g֚gԚgךgؚgӚgښgޚgߚgݚgggܚgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggśgƛgěgǛgÛgțg˛g̛gΛgϛgggʛg՛g֛gԛgכg؛gӛgٛgқgڛgݛgޛggܛgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggœgÜgĜggŜgȜgɜgʜg˜g̜g͜gǜgΜgќgҜgӜgԜg՜g֜gМgלgٜgڜgۜgܜgݜgޜgߜgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggÝgggĝggŝgȝgɝg˝gʝgǝg̝gϝgНgҝgѝgΝgӝg͝gԝgggםgڝg۝gݝgޝggg؝gٝgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggžggÞgǞgȞgʞgɞgƞg˞g̞gŞg͞gϞgОg՞g֞g؞gמgԞgٞgڞgӞg۞gҞgܞgggggggggggggggߞggޞggўgݞggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggğgşgßgƟgǟgŸgȟggɟg˟g̟g͟gΟgϟgПgҟgӟg՟gԟg֟gџgٟgܟgݟgߟggggڟg۟gggggggggggggggggggggggggggggןg؟gggggggggggggggggggggggggggggggggggggggggggggggg gƠgǠgȠgɠgʠgˠgĠgŠgΠg̠gϠg͠gӠgԠg֠gՠgҠgנgڠg۠gݠgܠg٠gޠgؠgߠgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggágġgơgšg¡gǡggȡgˡg̡gΡg͡gʡgϡgҡgӡgաgԡgѡg֡gСgסg١gڡgܡgݡggߡggggggggggggggggggggggggggggggggggggggggggggggggРgѠggggggggggggggggggg¢ggâgŢgƢgȢgɢgˢg̢g΢gϢgԢgբgӢg֢gآgעg٢gܢgݢgۢgޢggߢgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg£gãgţgģggƣgɣgʣgˣg̣gͣgΣgϣgȣgѣgǣgӣgңggԣgأg٣gףgڣg֣gۣgߣggޣggݣgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggĤg¤gŤgägɤgʤg̤gˤgȤgͤgФgѤgӤgҤgϤgԤgΤgդgؤg٤gۤgڤgפgܤgߤggggޤggݤggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggågĥgɥgʥg˥g̥gͥgΥgǥgȥgѥgϥgҥgХgӥg֥gץg٥gڥgܥgݥgߥggggggggggggggggggggggggggggggggԥgեgggggggggggggggggggggggggggggggggggggggggggggg¦gŦgƦgĦgǦgʦg˦gɦg̦gϦgЦgΦgѦgԦgզgӦg֦g٦gڦgئgۦgަgߦgggggݦggggggggggggggggggggggggggƤgǤgƥggggggggggggggggggggѢgҢgggggggggggggggggggggggg§gçgħgǧgȧgʧgɧgƧg˧ģgͧgϧgЧgҧgӧgէgקg٧gۧgܧggggߧgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg¨gègŨgƨgȨgɨg˨g̨gѨgҨgШgӨg֨gרgըgبgۨgܨgڨgݨgggߨgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg©gĩgũgǩgƩgȩgégɩg˩gʩg̩gϩgөgԩgҩgթg֩gשgکg۩g٩gܩgݩgީgggggggЩgѩgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggĪgŪgȪgɪg̪gͪgǪgʪg˪gΪgϪgЪgêgƪgҪgѪgªgӪg֪gתgتg٪gڪg۪gުgߪgggggggggggggggggܪgݪgggժggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggëg«ggīgɫgʫg˫g̫gͫgΫgǫgȫgЫgϫgƫgѫgӫgԫg֫g׫g٫gګgܫgݫggggg߫ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg¬ggìgǬgȬgƬgɬgʬgĬgggggͬgg̬gŬgˬgάgϬgҬgЬgӬgѬgԬgլgg֬g٬gڬgجg۬gܬgݬggg߬ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggͩgΩgggg­gĭgígŭgȭgɭgǭgʭg̭g˭gͭgЭgѭgϭgҭgԭgӭgխg׭gޭg߭gݭgggܭgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggĮgŮgîgƮg®gǮgˮg̮gʮgͮgɮgήgЮgѮgggҮg׮gخg֮gٮgڮgծgۮgԮgܮgggggg߮ggޮgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggįgůgƯgǯgȯgɯgïgʯgͯgίgϯgЯgѯgүg̯gӯgׯgدgٯgگgۯgܯgկg֯g߯gݯggޯgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg°gİgŰgǰgȰgʰg˰gаgѰgӰgҰgϰg԰gװgذgڰgٰgְg۰gհgܰg߰ggggްggggggggggggggggggggggggggggggggggggggggggggΰgggggggggggggggggggggggggggggggggggggg±ggñgƱgDZgɱgȱgűgʱgͱgαgбgϱg̱gѱg˱gұgԱgձgױgرgڱg۱gݱgޱggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg²gògŲgƲgȲgɲg˲g̲gβgϲgѲgҲgԲgղgײgزgڲg۲gݲg޲ggggggggggggggggggggggggggggggggggggggggggggggggΨgϨggggggggggggggggggggggggógijg³gųgƳgdzgʳg˳gɳg̳gͳgγgгgѳgӳgԳgֳgسgڳgܳgݳggggg޳g߳gݧgާgggggggggggggggggggggggggggggggggggggggggggggggggggôgŴgǴgɴg˴gʹgϴgѴgӴgմg״gٴg۴gݴgߴggggggggggggggggggggggggggggggggggggggggggggggggggggõggĵgǵgȵgʵgƵg˵gεgϵgѵg͵gҵgյgֵgصgԵgٵgܵgݵgߵg۵gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg¶gŶgƶgȶgǶgĶgɶg̶gͶg϶gζg˶gжgѶgʶgögԶgӶgնgҶggֶg׶gضgٶggڶg޶g߶gݶgggܶggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg÷gķgǷgŷgƷgɷgʷgͷg˷g̷gзgѷgϷgҷgԷgӷgշgطgٷg۷g׷gܷg߷gg޷ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggĸgŸgǸgøgȸg˸g̸gʸg͸gиgѸgϸgҸgӸgԸgθgոg׸gܸgggggggg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jjjjjjjjjjjjjjjjjjjjjjjjjj¼jǼjȼjʼjƼj˼jμj̼jϼjͼjżjмjѼj׼jؼjڼjּjۼj޼jܼj߼jݼjռjjjjԼjӼjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjüjļjjjjjjjjjjjjjjjjýjjĽjƽjȽjɽjʽjлj̽jͽjϽjѽjֽjսjؽj۽jڽjݽj߽jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjþjjľjƾjǾjȾj̾j;jʾj˾jҾjӾjվjѾj־jپjھjܾjؾjݾjjjj߾jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjƿjǿjɿjȿjſjʿj̿j˿jĿjͿjϿjÿjпjӿjԿjҿjտjֿj׿jڿjݿj޿j߿jjjjjܿjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjkjkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk€kɀkʀkȀkˀk̀k̀kǀk΀kπkƀkрkԀkՀk׀kրkӀk؀kۀk܀kހk݀kڀk߀kـkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkÁkkkākŁkƁkkǁkɁkȁkkʁḱk΁kЁkρḱkсkˁkҁkցkׁkՁk؁kځkԁkہkށk߁k݁kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkĀkŀkkk‚kłkƂkȂkʂkÂkĂk͂k҂kтkԂkׂkւkقk܂kۂkނkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkƃkǃkɃkȃkŃkʃk˃kăk̓kЃk҃kӃkՃkσkփk܃k݃kۃkރkkكkk؃kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk„kkƄkȄkɄkkʄk̈́k΄kЄk̄kфkׄk؄kքkلkۄkԄk߄kkkӄkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkÅkąkƅkȅkͅk΅k̅kυk҅kЅkӅkхk˅kԅkՅkׅk؅kڅk܅kkkkkkkkk߅kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkۅkޅkkkDžkʅkkkkkkkkkkkkkkkkņkƆkĆkdžkʆkˆkɆk̆k͆kφkІk҆kцkȆkӆkֆk׆kՆk؆kنkچk܆k݆k߆kkkk†kÆkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk‡kÇkŇkćkkƇkLJkkɇk̇k͇kχkˇkЇkӇkԇkևk҇kׇkۇk܇kڇk݇kއkهkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkĈkLjkʈkÈkψkшk҈kk͈kkԈkkkوk׈k؈k܈kkkkkk߈kkkkڈkۈkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk‰kÉkkʼnkɉkʉk̉kȉk͉kωk҉kԉkՉkщk؉kىk։k׉k܉k݉kkk߉kkkkkkkkЉkډkۉkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkƉkljkNJkȊkƊkɊkʊk̊k͊kϊkΊkŊkЊkъkҊk֊k׊kՊk؊kيkۊk܊kފkԊkߊkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk‹kNjkȋkƋkɋk̋kʋk͋kˋkŋk΋kϋkӋkԋkыkҋkًkڋkۋk܋k݋kދkߋkk؋kkËkċkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkŒkkkȌkɌknjkʌkˌk͌kΌkЌkόkƌkьkҌkӌkՌk֌k،kٌkیk݌kkkkkkkkkߌkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkōkƍkčkǍkˍk΍kэkʍk֍k؍kٍkȍkԍkÍkۍkkkkލkߍkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkŽkĎkkŎkǎkʎk̎k͎kɎkЎkюkΎkώkԎkՎk؎kَk׎kڎk܎kߎkގkkkێkȎkҎkӎkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkďkŏkǏkƏkkȏkɏkʏkΏkϏk͏kЏkяkӏkԏk֏k̏k׏kڏkۏkُk܏kݏkޏkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkÐkkĐkŐkȐkɐkǐkʐk̐kːkk͐kѐkҐkАkӐk֐kԐkאkՐkϐkؐkِkڐkܐkېkݐkސkkߐkkkΐkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkÑkđkƑk‘kǑkʑkȑkˑkɑkk̑k͑kӑkԑk֑kґkבkڑkؑkۑkّkёkܑkݑkkБkϑkkߑkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk’kÒkƒkǒkɒk˒kĒkŒkΒkӒkҒkՒkؒkגkڒkݒkܒkߒkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk“kœkƓkȓkēkɓk͓kΓk̓kϓkГk˓kғkՓk֓kؓkԓkٓkܓkݓkۓkޓkߓkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkĔkÔkƔkʔk̔kɔkΔkДkӔkԔkєkҔkؔkݔkޔkkkkkkkkߔkkܔkkڔk۔kkkkkkkkkkkkkkkkǔkȔkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkŕkǕkȕkʕk̕kΕkϕkԕkՕkӕk֕kוkҕkٕkЕkѕkɕk˕kܕkߕkkkkkkޕkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkŖkƖkʖk͖kЖkɖkՖkזkؖkǖkӖkĖkږk–kÖkߖkݖkޖkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk×kėkkƗkǗkkkȗk̗k͗kΗkїkҗkӗk֗k՗kؗkٗkחkڗkۗkЗkܗkޗkݗk˗kߗkkʗkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkØkŘkƘkʘk͘kɘkϘkҘkӘkјkԘk֘kטk՘kؘkۘkܘkݘkژkߘkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk™kękřkkkkǙkkk̙kʙk˙kϙkәkԙkՙkҙkיk͙kΙkڙkۙkܙkݙkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkǘkȘkkkkkkkkkkkkkkkkkkkkkkkkkkškÚkkŚkǚkȚkʚk̚kњkКkӚk֚k՚kؚkۚkښkݚkkߚkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkěkśkǛkÛkțk̛k͛kϛkΛk˛kЛkћkʛkӛk֛kכkٛk՛kڛkޛkߛkkkݛkkkܛkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkœkÜkkĜkŜkƜkkk̜k͜k˜kΜkќkϜkҜkМkʜkӜkԜkɜk֜kڜkۜkݜkܜkٜkޜkߜk؜kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkÝkkĝkƝkkǝk˝k̝kʝk͝kНkΝkѝkϝkɝkҝkӝkԝkٝkڝk؝k۝kޝkܝkߝkݝkםkkk֝kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkĞkŞkǞkȞkʞk̞kўkΞkϞkӞkОkԞkҞk֞kמk՞k؞kžkÞkٞk۞kkkkkߞkkkkݞkޞkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkßkkğkȟkɟkǟkʟk˟k͟kΟkПkƟkџkԟk՟kӟk֟kןk؟k۟kܟkޟkڟkߟkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk kĠkŠkǠkɠkkkΠkϠkѠkРk͠kҠkӠk̠kՠkؠk٠kڠk۠kݠkޠkߠkkנkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk¡kákškġkkơkǡkȡkʡk͡k̡kϡkҡkӡkաk֡kءkڡkСkѡkޡkߡkkkkkkkݡkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk¢kâkĢkƢkɢkȢkˢk̢k͢kkk΢kѢkҢkТkӢkԢkբkkkآkעkޢkkkkkkkkkkkkݢkkkkkkkkkkkkܢkۢkkkkkkkڢkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkãkƣkɣkȣkˣkΣkϣḳkͣkӣk֣kգkأkۣkܣk٣kڣkģkţkߣkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkäkŤkǤkɤkˤkͤkϤkѤkӤkդkؤk٤kۤkܤkޤkߤkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkƥkǥkĥkťkɥkȥkʥk˥kåk̥kkkkϥkΥkҥkӥkեkѥk֥kۥkܥkڥkݥkߥkޥk٥kkkإkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkæk¦kƦkǦkɦkŦkʦk̦kΦkϦkЦkkӦkԦk֦kҦkצkڦkۦk٦kܦkݦkަkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkçkkk§kŧkƧkǧkɧkʧķk˧kͧkΧkЧkȧkѧkҧkԧkէkӧk٧kۧkܧkާkاkߧkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkĨkŨkèkƨkɨkǨkʨkȨk¨k˨k̨kͨkѨkШkҨkըk֨kԨkרkبk٨kݨkިkܨkߨkkۨkkkkkkkkkkkkkkkkkkkkkkkkkkkkkϨkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk©kékkƩkǩkĩkũk˩k̩kʩkͩkЩkΩkѩkϩkɩkҩkԩkթkөkةk٩k֩kשkݩkީkܩkߩkkkkk۩kkkkkkkkk֧kקkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkªkkêkȪkɪkǪkʪk̪k˪kƪkͪkΪkŪkЪk֪kתkժkتkڪk٪kԪk۪kܪkӪkުkkkҪkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk«kkëkǫkȫkƫkɫk̫kʫkͫk˫kūkΫkϫkЫkkkkիk֫kԫk׫kګkثk۫k٫kӫkܫk߫kkkkkkޫkkkkkkkݫkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkìkkĬkƬkȬkɬkͬkάkЬkѬkʬkˬk̬kkkkkkkk׬k٬kڬk۬kkݬkެkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk­kĭkŭkȭkɭk˭kǭk̭kϭkЭkҭkέkӭk׭kحk֭k٭kڭkխkܭkޭk߭kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkîk®kkĮkŮkƮkɮkʮk̮kˮkȮkͮkЮkѮkӮkҮkϮkԮkծk֮kٮkڮkܮkۮkخkݮkkkkk߮kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk¯kkkȯkɯk˯kʯkǯk̯kͯkƯkϯkѯkүkԯkկkӯk֯kٯkگkׯkدkkkkk߯kkkޯkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk°kİkðkkŰkʰk˰kͰk̰kɰkΰkϰkѰkҰkȰkӰkհk԰kǰkְkװkڰk۰kưkkk߰kްkݰkܰkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk±kñkűkkƱkʱk˱kͱḵkɱkαkѱkұkбkӱkرkٱk۱kڱkױkܱkݱk߱kkֱkkkkձkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkԱkkkkkkkϱkkkkkkkkkkkkkkkkkȱkkkkkkkkkkkkkkkkkkkkkkkkk²kòkkŲkȲkɲkDzkʲkͲkβkвk̲kѲkԲkղkײkӲkزk۲kڲkܲk޲k߲kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk³kókdzkȳkƳkɳkʳkųk̳kгkѳkϳkҳkӳkγkճkٳkڳkسk۳kܳk׳k޳kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk´kkŴkǴkȴkʴk˴k̴kδkʹkkϴkҴkӴkմkԴkѴkִk״kشkܴkݴkߴk޴k۴kkkڴkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkµkõkŵkĵkkƵkɵkʵk̵k˵kȵk͵kεkϵkѵkҵkԵkյk׵kصkڵk۵kݵk޵kkkkkkkkkkkkkkkӵkֵkٵkܵkߵkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk¶kkkökȶkɶk˶kʶkǶk̶kͶk϶kжkƶkѶkӶkҶkŶkԶkնkضkٶkĶkkkݶkܶk۶kڶk޶k߶kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk÷kŷkǷkɷk˷kηkϷkҷkӷkշkѷkַkطkٷkݷk޷kk߷kܷkkk۷kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkøkkĸkǸkȸkʸkƸk˸k͸kиkϸkҸkոkٸkڸkܸk۸kظkݸk޸kkkkk׸kkԸkkkkkkkkӸkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk¹kkùkƹkȹkɹk˹kŹk̹kιkϹkӹkԹk׹kչkعkܹkݹk۹k޹kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk߹kkkkkkkkkkٹkڹkkkkkkkkkkkkkkkkkkºkúkkkǺkκkкkӺkԺkֺk׺kѺkҺkkkݺk޺kkܺkkkkkkkkkkkѹkҹkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk»kĻkŻk˻k̻kʻkͻkϻkλkɻkлkѻkԻkջkӻkֻkȻk׻kڻkۻkݻkٻk޻kkkkkkǻkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkükļk¼kżkƼkʼk˼kͼk̼kɼkμkϼkȼkѼkӼkԼkռkkkټkڼkܼkؼkݼk߼kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkýkŽkƽkǽkkʽk˽kͽk̽kɽkνkϽkнkӽkԽkҽkսkֽk׽kkk۽kܽk޽kڽk߽kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkþkžkʾkɾk̾kϾkξkѾkӾkվk׾kھk۾k߾kkkk޾kkkݾkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk¿kĿkkʿk˿kͿk̿kɿkοkпkǿkԿkտk׿kӿkؿkۿkܿkڿkݿkkk߿kkkk޿kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk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tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttÐtŐtĐtƐtȐtʐtːtϐtҐtՐtΐtؐtېtܐtݐtߐtttttt̐t͐ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttÑtƑtǑtɑtˑt̑t͑tΑtёtϑtґtԑtՑtؑt֑tّtőtݑtttttttttttttttttttttttttttttttttttttttttttttttttttttttttÒtĒtŒtt’tǒtȒtʒt˒t̒tɒt͒tҒtؒtْtڒtגtܒtߒtttttttttttttttޒttttВtђttttttttttttttttttttttttttttttttttttÓtētΒtϒtʓtГtѓtғtϓtԓtדtؓtړtܓtݓtޓtߓttttttttt֓ttttttttȓtɓtttttttttttttttttttttttttttttttttttttttttttttttttttÔtƔtŔtȔt̔tΔt˔tДtҔtԔtӔtՔtהtܔtݔttttttttޔtt۔ttٔtڔtttttttttttttttttttttttttɔtʔttttttttttttttttttttttttttttttttttttÕtĕt•tŕtǕtƕttȕtɕtʕtΕtϕt͕tЕtҕtѕt̕tӕtԕtՕtؕtٕtەtוtܕtޕttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttÖtĖtŖt–tǖtʖt˖t͖tΖtttɖtіtҖtӖtԖt֖tזtٖtږtܖtݖtttޖtttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttėt×tƗtǗtttttʗt˗t̗t͗tϗtҗtїtԗtؗtڗtחtܗtޗttߗttttttttttttttttttttttttttttttttttt՗t֗ttttttttttttttttttttttttttttttttttttØtĘt˜tŘtǘtƘttȘtɘtʘt͘tΘtИt̘tјtӘt֘t՘tؘtۘtޘtttݘtttttttttttttttttttܘtttttttttttttttttttttttttttttttttttttttttttt™tÙtřtƙttttətʙt˙t̙tΙtϙtљtҙtԙtՙttt֙tٙtڙtܙtݙt٘tژtؙttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttštÚtĚtŚtǚtʚtɚt̚tКtҚtϚtԚt֚tؚtךtٚtۚttttߚtttttݚtޚttttttttttttttttttttttttt͚tΚtttttttttttttttttttttttttttttttttttttttt›tttÛtětśtțtɛt˛tǛt̛tΛtћtЛtӛt֛tٛtۛtܛt؛tߛttݛtޛtttttttttttttttכtttttttttttttttttttttttttttttttttttttttttttttttÜtĜttttǜtƜtɜtʜt˜t̜tΜtϜtќtҜt՜t֜t؜tٜtttԜtݜtޜtttttԛt՛tܜtttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttĝtǝtƝtɝt͝tϝt̝tѝtӝt՝tԝt֝t؝tڝt۝tߝtttޝttttttttttttttttܝtݝtttttttttttttʝt˝tttttttttttttttttttttttttttttttttttttttttttžttÞtŞtȞtǞtʞt͞tОtҞtӞtϞt֞tמtԞt՞tڞt۞tޞtߞtݞttttttttΞt؞tٞttttttttttttttttttttttttttttttttttttttttttttttttt˞t̞ttttttttttttttŸtßtǟtȟtƟtɟt˟tʟtşt̟t͟tΟtҟtӟtџtԟt֟t՟tПtןt؟tٟt۟tܟtޟtߟttttݟtttttttttttttttttttttttttttttttttttttttttttttttttttàtĠtŠtǠtȠt tɠtˠt̠tРtѠtttϠtssԠtؠt۠tܠtޠtttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttáttġtȡtɡtǡtʡtˡtơt͡tСtѡtӡtϡtԡtءt١tסtڡtۡt֡tݡtߡtttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt¢tâtǢtȢtƢtɢtʢt΢tϢt͢tТtѢttעtآtݢtttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt£tãttģtƣtǣtɣtʣtȣtˣtͣtΣtϣtУt֣tգtأtۣtڣtݣtߣtttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttĤtŤtätƤtɤtʤtȤtˤtǤt̤tϤtФtҤtΤtӤt֤tפt٤tդtڤtܤtߤtޤttt¤tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt¥tĥttťtɥtʥt̥t˥tȥtͥtΥtǥtϥtҥtӥtѥtԥtץtإt֥t٥tڥtܥtۥtݥtޥtեtߥttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt¦tŦtƦtĦtǦțtͦt˦tΦtϦtɦtʦtѦtЦtҦtӦtȦtԦtצtئtڦt֦tۦtަtߦtݦtttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttħtŧtƧtʧt˧ţt§tçtȧtɧtΧtϧtҧtӧtѧtԧtЧtקtاtէt֧tާtߧtݧttttܧttttttttttttttttttttttttttttttttttttttttttttttttttt¨tȨt˨tǨtΨtŨtҨtӨt٨tبtۨtݨttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttétũtǩtɩt˩tͩtϩtѩtөtթtשt٩t۩tݩtߩtttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttêtªtĪtƪtǪtɪtʪt˪tȪtͪtϪtЪtҪtӪtԪtѪt֪tتt٪t۪tܪtݪtڪtߪttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttëtǫtūt«tɫtȫtʫt˫tt̫tΫtϫtЫtҫtիt֫tثt٫t׫tګt۫tޫt߫ttttttttttttttttttttttttttܫtݫttttttttttttttttttttttttttttttttttttttttttttttttttttttìtĬtʬtˬtͬtɬtάtЬtϬtȬtѬtҬtǬtԬt֬t۬tܬtڬtݬtެttجt٬tttttttttttttttttttttttttttŬtƬttttttttttttttttttttttttttttttttttttttttttttttttt­títtŭtʭt˭ṱtέtϭtҭtЭtѭtӭtɭt׭tحt٭tۭtܭtȭttޭt߭ttttttttttttttttttttttttttttttttttttttttttttttttttttttttǭtttttttttttt®ttĮttttǮtȮtɮtѮtҮtԮtЮtծt׮t֮tϮtخtٮtͮt߮ttݮtˮt̮tӫtԫttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt¯tįtůtɯtʯt̯t˯tϯtѯtͯtӯtίtԯtүtȯtկtدtٯtׯtܯtݯtگtۯtïtƯtǯttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt°tİtǰtȰtɰtͰtΰtϰt˰t̰tѰtҰt԰tհtְtӰtװtذtڰt۰tŰtưtܰtްt߰tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt±tƱtDZtűtȱtɱtıt˱tͱtαtϱtӱtԱtձtѱtұtױtرtٱtڱtޱt߱ttݱttttttttttttttttttttttttttttttttttttttttttttttttttttttttt۱tܱttttttt²tƲtDztŲtȲtɲtIJt˲t̲ttttϲtвtѲtԲtղtӲtײtttڲtٲt۲t޲t߲ttݲttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttót³tųtdzt˳t̳tͳtʳtϳttttttԳtֳt׳tӳtڳtܳt߳ttttttttttttttttttttttttttttttttttttttttttttttt´tĴtƴtȴtʴt̴tδtѴtҴtԴtմtִtڴt۴tܴtشtٴt޴tߴtttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttµtõtŵtƵtʵt˵tɵt̵t͵tϵtеtҵtȵtӵtյtֵtǵtԵt׵tݵt޵tܵtߵtttttt۵tttٵttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttǶtȶtƶtɶtʶt˶tŶt̶tͶtжtӶtԶtնtٶtڶt۶t׶tضtݶt޶t߶ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt·tŷtƷtȷtǷtķtɷtʷtͷtηtзtϷt̷tѷtҷtt׷tطtٷt۷tݷtܷtַt޷ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt¸tƸtǸtȸtĸtŸtʸt˸t̸t͸tѸtҸtӸtиtոt׸tظt۸tݸtڸt߸ttttttttttttttttttttθtϸttttttttttttttttttttttttttttttttttttttttttttttttt¹tƹtǹtȹtŹtʹt̹t͹tйtҹtϹtԹtֹt׹tعtٹt޹t߹ttݹttttttttttttùtĹtܹtttttttttttttttttttttttttttttttttttttttttttttttttttttttttttºtútĺtttƺtǺtȺtɺtͺtκtϺt̺tѺtӺtԺt׺tٺtֺtۺtݺt޺tߺtttttttttttttttttʺt˺ttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttĻt»tûtŻtƻtǻttȻt˻t̻tͻtʻtϻtһtӻtԻtѻtֻtٻtڻtܻtݻtۻt޻tt߻tttttػttttttttttttttt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ȩ~~ʩ~̩~˩~ͩ~ѩ~ҩ~ԩ~Щ~թ~ש~֩~ϩ~ة~ک~٩~۩~ީ~ߩ~~ݩ~~~~~~̨~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ª~~~ê~Ī~ƪ~Ǫ~ʪ~˪~Ȫ~ɪ~Ϫ~Ӫ~Ԫ~٪~۪~ު~ߪ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~«~ë~~~ɫ~ʫ~ȫ~˫~̫~ͫ~ǫ~Ϋ~ϫ~ӫ~ԫ~ի~֫~ث~٫~ޫ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Ĭ~Ŭ~Ƭ~̬~ͬ~ˬ~ά~Ϭ~Ь~ʬ~Ѭ~Ҭ~֬~׬~ج~٬~Ȭ~ɬ~ܬ~ݬ~߬~~ެ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~­~í~ĭ~ŭ~~~ɭ~ʭ~˭~ȭ~ͭ~ϭ~ѭ~ҭ~խ~ح~٭~ڭ~ۭ~ݭ~ޭ~Э~ӭ~ԭ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~®~Į~Ů~Ʈ~Ǯ~ɮ~ʮ~ˮ~̮~Ю~Ѯ~Ү~Ԯ~ծ~׮~֮~Ϯ~خ~ٮ~ή~ۮ~ޮ~߮~ݮ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ï~~į~ǯ~ȯ~Ư~ɯ~ʯ~̯~ͯ~Я~ѯ~ϯ~ү~ӯ~ԯ~ί~կ~ٯ~گ~ܯ~ۯ~د~ݯ~ޯ~ׯ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ð~ư~ǰ~ɰ~ʰ~˰~ϰ~а~Ѱ~Ͱ~ΰ~Ӱ~԰~հ~ְ~ڰ~۰~ݰ~ܰ~ٰ~ް~߰~~~~~ذ~~~~װ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~±~Ʊ~DZ~ű~ȱ~ɱ~ı~˱~α~ϱ~ѱ~ͱ~ұ~ֱ~ױ~ձ~ر~ٱ~Ա~۱~ޱ~~~~ݱ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~²~ò~~Ų~ɲ~ʲ~Ȳ~˲~̲~Dz~β~Ѳ~Ҳ~Բ~в~ղ~ײ~۲~ܲ~ڲ~ݲ~޲~~~~~~~~~ٲ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~³~~ų~~dz~ɳ~˳~ϳ~г~γ~ѳ~ҳ~ӳ~ֳ~׳~ٳ~ճ~ڳ~ݳ~޳~ܳ~߳~~~~~~ʳ~̳~ͳ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~´~~~ô~Ĵ~~ƴ~ȴ~ɴ~ʴ~δ~ϴ~д~̴~ʹ~Ҵ~Ӵ~Դ~մ~ٴ~ڴ~ش~۴~ߴ~~޴~~~ݴ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ִ~״~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ĵ~ɵ~ʵ~˵~ȵ~͵~µ~õ~е~~~~ߵ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Ŷ~ƶ~Ķ~Ƕ~ȶ~ɶ~ö~ʶ~˶~ж~Ѷ~Ҷ~϶~Զ~ֶ~۶~ܶ~ڶ~ݶ~޶~߶~ٶ~~~~~~~~׶~ض~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Ƿ~ȷ~ɷ~Ʒ~˷~з~ѷ~ӷ~ҷ~Ϸ~Է~շ~ܷ~ݷ~߷~޷~۷~~~ͷ~׷~ٷ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~¸~~ȸ~ɸ~ʸ~Ǹ~̸~и~Ѹ~ϸ~Ҹ~Ӹ~Ը~θ~ո~ڸ~۸~ݸ~ܸ~ٸ~޸~߸~~~~~~~~ָ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~¹~~ù~ȹ~ɹ~ǹ~ʹ~˹~̹~ƹ~͹~й~ѹ~ҹ~ι~ٹ~ܹ~ֹ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~º~~~ź~ƺ~ĺ~Ǻ~˺~̺~ʺ~ͺ~κ~ɺ~к~Һ~Ӻ~ֺ~غ~ܺ~ݺ~պ~޺~ߺ~ں~ۺ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~»~ƻ~Ļ~Ż~Ȼ~ɻ~ʻ~˻~̻~~~~~λ~~~ӻ~ѻ~һ~ֻ~׻~ػ~ۻ~ڻ~ݻ~߻~~~~~~~~޻~~~~Ի~ջ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ü~Ƽ~ʼ~˼~̼~ɼ~μ~ļ~ż~Ѽ~~~~~׼~ּ~ڼ~ܼ~ټ~ݼ~~~߼~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~½~~~~Ľ~ƽ~ǽ~Ƚ~ɽ~ʽ~~˽~̽~~ν~Ĺ~Ź~ӽ~Խ~ս~ҽ~׽~ܽ~ݽ~۽~޽~~~~߽~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ƾ~Ǿ~Ⱦ~ž~ʾ~̾~о~Ҿ~Ͼ~Ծ~־~׾~ؾ~پ~ݾ~޾~~~۾~ܾ~~~~~;~ξ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Ŀ~ſ~ǿ~ȿ~ÿ~ɿ~˿~ο~ҿ~׿~ֿ~ܿ~ۿ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ٽ~ڽ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~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fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe 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IO-Compress-Brotli-0.019/brotli/tests/testdata/plrabn12.txt0000644000175000017500000165510514606651216021674 0ustar timtim This is the February 1992 Project Gutenberg release of: Paradise Lost by John Milton The oldest etext known to Project Gutenberg (ca. 1964-1965) (If you know of any older ones, please let us know.) Introduction (one page) This etext was originally created in 1964-1965 according to Dr. Joseph Raben of Queens College, NY, to whom it is attributed by Project Gutenberg. We had heard of this etext for years but it was not until 1991 that we actually managed to track it down to a specific location, and then it took months to convince people to let us have a copy, then more months for them actually to do the copying and get it to us. Then another month to convert to something we could massage with our favorite 486 in DOS. After that is was only a matter of days to get it into this shape you will see below. The original was, of course, in CAPS only, and so were all the other etexts of the 60's and early 70's. Don't let anyone fool you into thinking any etext with both upper and lower case is an original; all those original Project Gutenberg etexts were also in upper case and were translated or rewritten many times to get them into their current condition. They have been worked on by many people throughout the world. In the course of our searches for Professor Raben and his etext we were never able to determine where copies were or which of a variety of editions he may have used as a source. We did get a little information here and there, but even after we received a copy of the etext we were unwilling to release it without first determining that it was in fact Public Domain and finding Raben to verify this and get his permission. Interested enough, in a totally unrelated action to our searches for him, the professor subscribed to the Project Gutenberg listserver and we happened, by accident, to notice his name. (We don't really look at every subscription request as the computers usually handle them.) The etext was then properly identified, copyright analyzed, and the current edition prepared. To give you an estimation of the difference in the original and what we have today: the original was probably entered on cards commonly known at the time as "IBM cards" (Do Not Fold, Spindle or Mutilate) and probably took in excess of 100,000 of them. A single card could hold 80 characters (hence 80 characters is an accepted standard for so many computer margins), and the entire original edition we received in all caps was over 800,000 chars in length, including line enumeration, symbols for caps and the punctuation marks, etc., since they were not available keyboard characters at the time (probably the keyboards operated at baud rates of around 113, meaning the typists had to type slowly for the keyboard to keep up). This is the second version of Paradise Lost released by Project Gutenberg. The first was released as our October, 1991 etext. Paradise Lost Book I Of Man's first disobedience, and the fruit Of that forbidden tree whose mortal taste Brought death into the World, and all our woe, With loss of Eden, till one greater Man Restore us, and regain the blissful seat, Sing, Heavenly Muse, that, on the secret top Of Oreb, or of Sinai, didst inspire That shepherd who first taught the chosen seed In the beginning how the heavens and earth Rose out of Chaos: or, if Sion hill Delight thee more, and Siloa's brook that flowed Fast by the oracle of God, I thence Invoke thy aid to my adventurous song, That with no middle flight intends to soar Above th' Aonian mount, while it pursues Things unattempted yet in prose or rhyme. And chiefly thou, O Spirit, that dost prefer Before all temples th' upright heart and pure, Instruct me, for thou know'st; thou from the first Wast present, and, with mighty wings outspread, Dove-like sat'st brooding on the vast Abyss, And mad'st it pregnant: what in me is dark Illumine, what is low raise and support; That, to the height of this great argument, I may assert Eternal Providence, And justify the ways of God to men. Say first--for Heaven hides nothing from thy view, Nor the deep tract of Hell--say first what cause Moved our grand parents, in that happy state, Favoured of Heaven so highly, to fall off From their Creator, and transgress his will For one restraint, lords of the World besides. Who first seduced them to that foul revolt? Th' infernal Serpent; he it was whose guile, Stirred up with envy and revenge, deceived The mother of mankind, what time his pride Had cast him out from Heaven, with all his host Of rebel Angels, by whose aid, aspiring To set himself in glory above his peers, He trusted to have equalled the Most High, If he opposed, and with ambitious aim Against the throne and monarchy of God, Raised impious war in Heaven and battle proud, With vain attempt. Him the Almighty Power Hurled headlong flaming from th' ethereal sky, With hideous ruin and combustion, down To bottomless perdition, there to dwell In adamantine chains and penal fire, Who durst defy th' Omnipotent to arms. Nine times the space that measures day and night To mortal men, he, with his horrid crew, Lay vanquished, rolling in the fiery gulf, Confounded, though immortal. But his doom Reserved him to more wrath; for now the thought Both of lost happiness and lasting pain Torments him: round he throws his baleful eyes, That witnessed huge affliction and dismay, Mixed with obdurate pride and steadfast hate. At once, as far as Angels ken, he views The dismal situation waste and wild. A dungeon horrible, on all sides round, As one great furnace flamed; yet from those flames No light; but rather darkness visible Served only to discover sights of woe, Regions of sorrow, doleful shades, where peace And rest can never dwell, hope never comes That comes to all, but torture without end Still urges, and a fiery deluge, fed With ever-burning sulphur unconsumed. Such place Eternal Justice has prepared For those rebellious; here their prison ordained In utter darkness, and their portion set, As far removed from God and light of Heaven As from the centre thrice to th' utmost pole. Oh how unlike the place from whence they fell! There the companions of his fall, o'erwhelmed With floods and whirlwinds of tempestuous fire, He soon discerns; and, weltering by his side, One next himself in power, and next in crime, Long after known in Palestine, and named Beelzebub. To whom th' Arch-Enemy, And thence in Heaven called Satan, with bold words Breaking the horrid silence, thus began:-- "If thou beest he--but O how fallen! how changed From him who, in the happy realms of light Clothed with transcendent brightness, didst outshine Myriads, though bright!--if he whom mutual league, United thoughts and counsels, equal hope And hazard in the glorious enterprise Joined with me once, now misery hath joined In equal ruin; into what pit thou seest From what height fallen: so much the stronger proved He with his thunder; and till then who knew The force of those dire arms? Yet not for those, Nor what the potent Victor in his rage Can else inflict, do I repent, or change, Though changed in outward lustre, that fixed mind, And high disdain from sense of injured merit, That with the Mightiest raised me to contend, And to the fierce contentions brought along Innumerable force of Spirits armed, That durst dislike his reign, and, me preferring, His utmost power with adverse power opposed In dubious battle on the plains of Heaven, And shook his throne. What though the field be lost? All is not lost--the unconquerable will, And study of revenge, immortal hate, And courage never to submit or yield: And what is else not to be overcome? That glory never shall his wrath or might Extort from me. To bow and sue for grace With suppliant knee, and deify his power Who, from the terror of this arm, so late Doubted his empire--that were low indeed; That were an ignominy and shame beneath This downfall; since, by fate, the strength of Gods, And this empyreal sybstance, cannot fail; Since, through experience of this great event, In arms not worse, in foresight much advanced, We may with more successful hope resolve To wage by force or guile eternal war, Irreconcilable to our grand Foe, Who now triumphs, and in th' excess of joy Sole reigning holds the tyranny of Heaven." So spake th' apostate Angel, though in pain, Vaunting aloud, but racked with deep despair; And him thus answered soon his bold compeer:-- "O Prince, O Chief of many throned Powers That led th' embattled Seraphim to war Under thy conduct, and, in dreadful deeds Fearless, endangered Heaven's perpetual King, And put to proof his high supremacy, Whether upheld by strength, or chance, or fate, Too well I see and rue the dire event That, with sad overthrow and foul defeat, Hath lost us Heaven, and all this mighty host In horrible destruction laid thus low, As far as Gods and heavenly Essences Can perish: for the mind and spirit remains Invincible, and vigour soon returns, Though all our glory extinct, and happy state Here swallowed up in endless misery. But what if he our Conqueror (whom I now Of force believe almighty, since no less Than such could have o'erpowered such force as ours) Have left us this our spirit and strength entire, Strongly to suffer and support our pains, That we may so suffice his vengeful ire, Or do him mightier service as his thralls By right of war, whate'er his business be, Here in the heart of Hell to work in fire, Or do his errands in the gloomy Deep? What can it the avail though yet we feel Strength undiminished, or eternal being To undergo eternal punishment?" Whereto with speedy words th' Arch-Fiend replied:-- "Fallen Cherub, to be weak is miserable, Doing or suffering: but of this be sure-- To do aught good never will be our task, But ever to do ill our sole delight, As being the contrary to his high will Whom we resist. If then his providence Out of our evil seek to bring forth good, Our labour must be to pervert that end, And out of good still to find means of evil; Which ofttimes may succeed so as perhaps Shall grieve him, if I fail not, and disturb His inmost counsels from their destined aim. But see! the angry Victor hath recalled His ministers of vengeance and pursuit Back to the gates of Heaven: the sulphurous hail, Shot after us in storm, o'erblown hath laid The fiery surge that from the precipice Of Heaven received us falling; and the thunder, Winged with red lightning and impetuous rage, Perhaps hath spent his shafts, and ceases now To bellow through the vast and boundless Deep. Let us not slip th' occasion, whether scorn Or satiate fury yield it from our Foe. Seest thou yon dreary plain, forlorn and wild, The seat of desolation, void of light, Save what the glimmering of these livid flames Casts pale and dreadful? Thither let us tend From off the tossing of these fiery waves; There rest, if any rest can harbour there; And, re-assembling our afflicted powers, Consult how we may henceforth most offend Our enemy, our own loss how repair, How overcome this dire calamity, What reinforcement we may gain from hope, If not, what resolution from despair." Thus Satan, talking to his nearest mate, With head uplift above the wave, and eyes That sparkling blazed; his other parts besides Prone on the flood, extended long and large, Lay floating many a rood, in bulk as huge As whom the fables name of monstrous size, Titanian or Earth-born, that warred on Jove, Briareos or Typhon, whom the den By ancient Tarsus held, or that sea-beast Leviathan, which God of all his works Created hugest that swim th' ocean-stream. Him, haply slumbering on the Norway foam, The pilot of some small night-foundered skiff, Deeming some island, oft, as seamen tell, With fixed anchor in his scaly rind, Moors by his side under the lee, while night Invests the sea, and wished morn delays. So stretched out huge in length the Arch-fiend lay, Chained on the burning lake; nor ever thence Had risen, or heaved his head, but that the will And high permission of all-ruling Heaven Left him at large to his own dark designs, That with reiterated crimes he might Heap on himself damnation, while he sought Evil to others, and enraged might see How all his malice served but to bring forth Infinite goodness, grace, and mercy, shewn On Man by him seduced, but on himself Treble confusion, wrath, and vengeance poured. Forthwith upright he rears from off the pool His mighty stature; on each hand the flames Driven backward slope their pointing spires, and,rolled In billows, leave i' th' midst a horrid vale. Then with expanded wings he steers his flight Aloft, incumbent on the dusky air, That felt unusual weight; till on dry land He lights--if it were land that ever burned With solid, as the lake with liquid fire, And such appeared in hue as when the force Of subterranean wind transprots a hill Torn from Pelorus, or the shattered side Of thundering Etna, whose combustible And fuelled entrails, thence conceiving fire, Sublimed with mineral fury, aid the winds, And leave a singed bottom all involved With stench and smoke. Such resting found the sole Of unblest feet. Him followed his next mate; Both glorying to have scaped the Stygian flood As gods, and by their own recovered strength, Not by the sufferance of supernal Power. "Is this the region, this the soil, the clime," Said then the lost Archangel, "this the seat That we must change for Heaven?--this mournful gloom For that celestial light? Be it so, since he Who now is sovereign can dispose and bid What shall be right: farthest from him is best Whom reason hath equalled, force hath made supreme Above his equals. Farewell, happy fields, Where joy for ever dwells! Hail, horrors! hail, Infernal world! and thou, profoundest Hell, Receive thy new possessor--one who brings A mind not to be changed by place or time. The mind is its own place, and in itself Can make a Heaven of Hell, a Hell of Heaven. What matter where, if I be still the same, And what I should be, all but less than he Whom thunder hath made greater? Here at least We shall be free; th' Almighty hath not built Here for his envy, will not drive us hence: Here we may reigh secure; and, in my choice, To reign is worth ambition, though in Hell: Better to reign in Hell than serve in Heaven. But wherefore let we then our faithful friends, Th' associates and co-partners of our loss, Lie thus astonished on th' oblivious pool, And call them not to share with us their part In this unhappy mansion, or once more With rallied arms to try what may be yet Regained in Heaven, or what more lost in Hell?" So Satan spake; and him Beelzebub Thus answered:--"Leader of those armies bright Which, but th' Omnipotent, none could have foiled! If once they hear that voice, their liveliest pledge Of hope in fears and dangers--heard so oft In worst extremes, and on the perilous edge Of battle, when it raged, in all assaults Their surest signal--they will soon resume New courage and revive, though now they lie Grovelling and prostrate on yon lake of fire, As we erewhile, astounded and amazed; No wonder, fallen such a pernicious height!" He scare had ceased when the superior Fiend Was moving toward the shore; his ponderous shield, Ethereal temper, massy, large, and round, Behind him cast. The broad circumference Hung on his shoulders like the moon, whose orb Through optic glass the Tuscan artist views At evening, from the top of Fesole, Or in Valdarno, to descry new lands, Rivers, or mountains, in her spotty globe. His spear--to equal which the tallest pine Hewn on Norwegian hills, to be the mast Of some great ammiral, were but a wand-- He walked with, to support uneasy steps Over the burning marl, not like those steps On Heaven's azure; and the torrid clime Smote on him sore besides, vaulted with fire. Nathless he so endured, till on the beach Of that inflamed sea he stood, and called His legions--Angel Forms, who lay entranced Thick as autumnal leaves that strow the brooks In Vallombrosa, where th' Etrurian shades High over-arched embower; or scattered sedge Afloat, when with fierce winds Orion armed Hath vexed the Red-Sea coast, whose waves o'erthrew Busiris and his Memphian chivalry, While with perfidious hatred they pursued The sojourners of Goshen, who beheld From the safe shore their floating carcases And broken chariot-wheels. So thick bestrown, Abject and lost, lay these, covering the flood, Under amazement of their hideous change. He called so loud that all the hollow deep Of Hell resounded:--"Princes, Potentates, Warriors, the Flower of Heaven--once yours; now lost, If such astonishment as this can seize Eternal Spirits! Or have ye chosen this place After the toil of battle to repose Your wearied virtue, for the ease you find To slumber here, as in the vales of Heaven? Or in this abject posture have ye sworn To adore the Conqueror, who now beholds Cherub and Seraph rolling in the flood With scattered arms and ensigns, till anon His swift pursuers from Heaven-gates discern Th' advantage, and, descending, tread us down Thus drooping, or with linked thunderbolts Transfix us to the bottom of this gulf? Awake, arise, or be for ever fallen!" They heard, and were abashed, and up they sprung Upon the wing, as when men wont to watch On duty, sleeping found by whom they dread, Rouse and bestir themselves ere well awake. Nor did they not perceive the evil plight In which they were, or the fierce pains not feel; Yet to their General's voice they soon obeyed Innumerable. As when the potent rod Of Amram's son, in Egypt's evil day, Waved round the coast, up-called a pitchy cloud Of locusts, warping on the eastern wind, That o'er the realm of impious Pharaoh hung Like Night, and darkened all the land of Nile; So numberless were those bad Angels seen Hovering on wing under the cope of Hell, 'Twixt upper, nether, and surrounding fires; Till, as a signal given, th' uplifted spear Of their great Sultan waving to direct Their course, in even balance down they light On the firm brimstone, and fill all the plain: A multitude like which the populous North Poured never from her frozen loins to pass Rhene or the Danaw, when her barbarous sons Came like a deluge on the South, and spread Beneath Gibraltar to the Libyan sands. Forthwith, form every squadron and each band, The heads and leaders thither haste where stood Their great Commander--godlike Shapes, and Forms Excelling human; princely Dignities; And Powers that erst in Heaven sat on thrones, Though on their names in Heavenly records now Be no memorial, blotted out and rased By their rebellion from the Books of Life. Nor had they yet among the sons of Eve Got them new names, till, wandering o'er the earth, Through God's high sufferance for the trial of man, By falsities and lies the greatest part Of mankind they corrupted to forsake God their Creator, and th' invisible Glory of him that made them to transform Oft to the image of a brute, adorned With gay religions full of pomp and gold, And devils to adore for deities: Then were they known to men by various names, And various idols through the heathen world. Say, Muse, their names then known, who first, who last, Roused from the slumber on that fiery couch, At their great Emperor's call, as next in worth Came singly where he stood on the bare strand, While the promiscuous crowd stood yet aloof? The chief were those who, from the pit of Hell Roaming to seek their prey on Earth, durst fix Their seats, long after, next the seat of God, Their altars by his altar, gods adored Among the nations round, and durst abide Jehovah thundering out of Sion, throned Between the Cherubim; yea, often placed Within his sanctuary itself their shrines, Abominations; and with cursed things His holy rites and solemn feasts profaned, And with their darkness durst affront his light. First, Moloch, horrid king, besmeared with blood Of human sacrifice, and parents' tears; Though, for the noise of drums and timbrels loud, Their children's cries unheard that passed through fire To his grim idol. Him the Ammonite Worshiped in Rabba and her watery plain, In Argob and in Basan, to the stream Of utmost Arnon. Nor content with such Audacious neighbourhood, the wisest heart Of Solomon he led by fraoud to build His temple right against the temple of God On that opprobrious hill, and made his grove The pleasant valley of Hinnom, Tophet thence And black Gehenna called, the type of Hell. Next Chemos, th' obscene dread of Moab's sons, From Aroar to Nebo and the wild Of southmost Abarim; in Hesebon And Horonaim, Seon's real, beyond The flowery dale of Sibma clad with vines, And Eleale to th' Asphaltic Pool: Peor his other name, when he enticed Israel in Sittim, on their march from Nile, To do him wanton rites, which cost them woe. Yet thence his lustful orgies he enlarged Even to that hill of scandal, by the grove Of Moloch homicide, lust hard by hate, Till good Josiah drove them thence to Hell. With these came they who, from the bordering flood Of old Euphrates to the brook that parts Egypt from Syrian ground, had general names Of Baalim and Ashtaroth--those male, These feminine. For Spirits, when they please, Can either sex assume, or both; so soft And uncompounded is their essence pure, Not tried or manacled with joint or limb, Nor founded on the brittle strength of bones, Like cumbrous flesh; but, in what shape they choose, Dilated or condensed, bright or obscure, Can execute their airy purposes, And works of love or enmity fulfil. For those the race of Israel oft forsook Their Living Strength, and unfrequented left His righteous altar, bowing lowly down To bestial gods; for which their heads as low Bowed down in battle, sunk before the spear Of despicable foes. With these in troop Came Astoreth, whom the Phoenicians called Astarte, queen of heaven, with crescent horns; To whose bright image nigntly by the moon Sidonian virgins paid their vows and songs; In Sion also not unsung, where stood Her temple on th' offensive mountain, built By that uxorious king whose heart, though large, Beguiled by fair idolatresses, fell To idols foul. Thammuz came next behind, Whose annual wound in Lebanon allured The Syrian damsels to lament his fate In amorous ditties all a summer's day, While smooth Adonis from his native rock Ran purple to the sea, supposed with blood Of Thammuz yearly wounded: the love-tale Infected Sion's daughters with like heat, Whose wanton passions in the sacred proch Ezekiel saw, when, by the vision led, His eye surveyed the dark idolatries Of alienated Judah. Next came one Who mourned in earnest, when the captive ark Maimed his brute image, head and hands lopt off, In his own temple, on the grunsel-edge, Where he fell flat and shamed his worshippers: Dagon his name, sea-monster,upward man And downward fish; yet had his temple high Reared in Azotus, dreaded through the coast Of Palestine, in Gath and Ascalon, And Accaron and Gaza's frontier bounds. Him followed Rimmon, whose delightful seat Was fair Damascus, on the fertile banks Of Abbana and Pharphar, lucid streams. He also against the house of God was bold: A leper once he lost, and gained a king-- Ahaz, his sottish conqueror, whom he drew God's altar to disparage and displace For one of Syrian mode, whereon to burn His odious offerings, and adore the gods Whom he had vanquished. After these appeared A crew who, under names of old renown-- Osiris, Isis, Orus, and their train-- With monstrous shapes and sorceries abused Fanatic Egypt and her priests to seek Their wandering gods disguised in brutish forms Rather than human. Nor did Israel scape Th' infection, when their borrowed gold composed The calf in Oreb; and the rebel king Doubled that sin in Bethel and in Dan, Likening his Maker to the grazed ox-- Jehovah, who, in one night, when he passed From Egypt marching, equalled with one stroke Both her first-born and all her bleating gods. Belial came last; than whom a Spirit more lewd Fell not from Heaven, or more gross to love Vice for itself. To him no temple stood Or altar smoked; yet who more oft than he In temples and at altars, when the priest Turns atheist, as did Eli's sons, who filled With lust and violence the house of God? In courts and palaces he also reigns, And in luxurious cities, where the noise Of riot ascends above their loftiest towers, And injury and outrage; and, when night Darkens the streets, then wander forth the sons Of Belial, flown with insolence and wine. Witness the streets of Sodom, and that night In Gibeah, when the hospitable door Exposed a matron, to avoid worse rape. These were the prime in order and in might: The rest were long to tell; though far renowned Th' Ionian gods--of Javan's issue held Gods, yet confessed later than Heaven and Earth, Their boasted parents;--Titan, Heaven's first-born, With his enormous brood, and birthright seized By younger Saturn: he from mightier Jove, His own and Rhea's son, like measure found; So Jove usurping reigned. These, first in Crete And Ida known, thence on the snowy top Of cold Olympus ruled the middle air, Their highest heaven; or on the Delphian cliff, Or in Dodona, and through all the bounds Of Doric land; or who with Saturn old Fled over Adria to th' Hesperian fields, And o'er the Celtic roamed the utmost Isles. All these and more came flocking; but with looks Downcast and damp; yet such wherein appeared Obscure some glimpse of joy to have found their Chief Not in despair, to have found themselves not lost In loss itself; which on his countenance cast Like doubtful hue. But he, his wonted pride Soon recollecting, with high words, that bore Semblance of worth, not substance, gently raised Their fainting courage, and dispelled their fears. Then straight commands that, at the warlike sound Of trumpets loud and clarions, be upreared His mighty standard. That proud honour claimed Azazel as his right, a Cherub tall: Who forthwith from the glittering staff unfurled Th' imperial ensign; which, full high advanced, Shone like a meteor streaming to the wind, With gems and golden lustre rich emblazed, Seraphic arms and trophies; all the while Sonorous metal blowing martial sounds: At which the universal host up-sent A shout that tore Hell's concave, and beyond Frighted the reign of Chaos and old Night. All in a moment through the gloom were seen Ten thousand banners rise into the air, With orient colours waving: with them rose A forest huge of spears; and thronging helms Appeared, and serried shields in thick array Of depth immeasurable. Anon they move In perfect phalanx to the Dorian mood Of flutes and soft recorders--such as raised To height of noblest temper heroes old Arming to battle, and instead of rage Deliberate valour breathed, firm, and unmoved With dread of death to flight or foul retreat; Nor wanting power to mitigate and swage With solemn touches troubled thoughts, and chase Anguish and doubt and fear and sorrow and pain From mortal or immortal minds. Thus they, Breathing united force with fixed thought, Moved on in silence to soft pipes that charmed Their painful steps o'er the burnt soil. And now Advanced in view they stand--a horrid front Of dreadful length and dazzling arms, in guise Of warriors old, with ordered spear and shield, Awaiting what command their mighty Chief Had to impose. He through the armed files Darts his experienced eye, and soon traverse The whole battalion views--their order due, Their visages and stature as of gods; Their number last he sums. And now his heart Distends with pride, and, hardening in his strength, Glories: for never, since created Man, Met such embodied force as, named with these, Could merit more than that small infantry Warred on by cranes--though all the giant brood Of Phlegra with th' heroic race were joined That fought at Thebes and Ilium, on each side Mixed with auxiliar gods; and what resounds In fable or romance of Uther's son, Begirt with British and Armoric knights; And all who since, baptized or infidel, Jousted in Aspramont, or Montalban, Damasco, or Marocco, or Trebisond, Or whom Biserta sent from Afric shore When Charlemain with all his peerage fell By Fontarabbia. Thus far these beyond Compare of mortal prowess, yet observed Their dread Commander. He, above the rest In shape and gesture proudly eminent, Stood like a tower. His form had yet not lost All her original brightness, nor appeared Less than Archangel ruined, and th' excess Of glory obscured: as when the sun new-risen Looks through the horizontal misty air Shorn of his beams, or, from behind the moon, In dim eclipse, disastrous twilight sheds On half the nations, and with fear of change Perplexes monarchs. Darkened so, yet shone Above them all th' Archangel: but his face Deep scars of thunder had intrenched, and care Sat on his faded cheek, but under brows Of dauntless courage, and considerate pride Waiting revenge. Cruel his eye, but cast Signs of remorse and passion, to behold The fellows of his crime, the followers rather (Far other once beheld in bliss), condemned For ever now to have their lot in pain-- Millions of Spirits for his fault amerced Of Heaven, and from eteranl splendours flung For his revolt--yet faithful how they stood, Their glory withered; as, when heaven's fire Hath scathed the forest oaks or mountain pines, With singed top their stately growth, though bare, Stands on the blasted heath. He now prepared To speak; whereat their doubled ranks they bend From wing to wing, and half enclose him round With all his peers: attention held them mute. Thrice he assayed, and thrice, in spite of scorn, Tears, such as Angels weep, burst forth: at last Words interwove with sighs found out their way:-- "O myriads of immortal Spirits! O Powers Matchless, but with th' Almighth!--and that strife Was not inglorious, though th' event was dire, As this place testifies, and this dire change, Hateful to utter. But what power of mind, Forseeing or presaging, from the depth Of knowledge past or present, could have feared How such united force of gods, how such As stood like these, could ever know repulse? For who can yet believe, though after loss, That all these puissant legions, whose exile Hath emptied Heaven, shall fail to re-ascend, Self-raised, and repossess their native seat? For me, be witness all the host of Heaven, If counsels different, or danger shunned By me, have lost our hopes. But he who reigns Monarch in Heaven till then as one secure Sat on his throne, upheld by old repute, Consent or custom, and his regal state Put forth at full, but still his strength concealed-- Which tempted our attempt, and wrought our fall. Henceforth his might we know, and know our own, So as not either to provoke, or dread New war provoked: our better part remains To work in close design, by fraud or guile, What force effected not; that he no less At length from us may find, who overcomes By force hath overcome but half his foe. Space may produce new Worlds; whereof so rife There went a fame in Heaven that he ere long Intended to create, and therein plant A generation whom his choice regard Should favour equal to the Sons of Heaven. Thither, if but to pry, shall be perhaps Our first eruption--thither, or elsewhere; For this infernal pit shall never hold Celestial Spirits in bondage, nor th' Abyss Long under darkness cover. But these thoughts Full counsel must mature. Peace is despaired; For who can think submission? War, then, war Open or understood, must be resolved." He spake; and, to confirm his words, outflew Millions of flaming swords, drawn from the thighs Of mighty Cherubim; the sudden blaze Far round illumined Hell. Highly they raged Against the Highest, and fierce with grasped arms Clashed on their sounding shields the din of war, Hurling defiance toward the vault of Heaven. There stood a hill not far, whose grisly top Belched fire and rolling smoke; the rest entire Shone with a glossy scurf--undoubted sign That in his womb was hid metallic ore, The work of sulphur. Thither, winged with speed, A numerous brigade hastened: as when bands Of pioneers, with spade and pickaxe armed, Forerun the royal camp, to trench a field, Or cast a rampart. Mammon led them on-- Mammon, the least erected Spirit that fell From Heaven; for even in Heaven his looks and thoughts Were always downward bent, admiring more The riches of heaven's pavement, trodden gold, Than aught divine or holy else enjoyed In vision beatific. By him first Men also, and by his suggestion taught, Ransacked the centre, and with impious hands Rifled the bowels of their mother Earth For treasures better hid. Soon had his crew Opened into the hill a spacious wound, And digged out ribs of gold. Let none admire That riches grow in Hell; that soil may best Deserve the precious bane. And here let those Who boast in mortal things, and wondering tell Of Babel, and the works of Memphian kings, Learn how their greatest monuments of fame And strength, and art, are easily outdone By Spirits reprobate, and in an hour What in an age they, with incessant toil And hands innumerable, scarce perform. Nigh on the plain, in many cells prepared, That underneath had veins of liquid fire Sluiced from the lake, a second multitude With wondrous art founded the massy ore, Severing each kind, and scummed the bullion-dross. A third as soon had formed within the ground A various mould, and from the boiling cells By strange conveyance filled each hollow nook; As in an organ, from one blast of wind, To many a row of pipes the sound-board breathes. Anon out of the earth a fabric huge Rose like an exhalation, with the sound Of dulcet symphonies and voices sweet-- Built like a temple, where pilasters round Were set, and Doric pillars overlaid With golden architrave; nor did there want Cornice or frieze, with bossy sculptures graven; The roof was fretted gold. Not Babylon Nor great Alcairo such magnificence Equalled in all their glories, to enshrine Belus or Serapis their gods, or seat Their kings, when Egypt with Assyria strove In wealth and luxury. Th' ascending pile Stood fixed her stately height, and straight the doors, Opening their brazen folds, discover, wide Within, her ample spaces o'er the smooth And level pavement: from the arched roof, Pendent by subtle magic, many a row Of starry lamps and blazing cressets, fed With naptha and asphaltus, yielded light As from a sky. The hasty multitude Admiring entered; and the work some praise, And some the architect. His hand was known In Heaven by many a towered structure high, Where sceptred Angels held their residence, And sat as Princes, whom the supreme King Exalted to such power, and gave to rule, Each in his Hierarchy, the Orders bright. Nor was his name unheard or unadored In ancient Greece; and in Ausonian land Men called him Mulciber; and how he fell From Heaven they fabled, thrown by angry Jove Sheer o'er the crystal battlements: from morn To noon he fell, from noon to dewy eve, A summer's day, and with the setting sun Dropt from the zenith, like a falling star, On Lemnos, th' Aegaean isle. Thus they relate, Erring; for he with this rebellious rout Fell long before; nor aught aviled him now To have built in Heaven high towers; nor did he scape By all his engines, but was headlong sent, With his industrious crew, to build in Hell. Meanwhile the winged Heralds, by command Of sovereign power, with awful ceremony And trumpet's sound, throughout the host proclaim A solemn council forthwith to be held At Pandemonium, the high capital Of Satan and his peers. Their summons called From every band and squared regiment By place or choice the worthiest: they anon With hundreds and with thousands trooping came Attended. All access was thronged; the gates And porches wide, but chief the spacious hall (Though like a covered field, where champions bold Wont ride in armed, and at the Soldan's chair Defied the best of Paynim chivalry To mortal combat, or career with lance), Thick swarmed, both on the ground and in the air, Brushed with the hiss of rustling wings. As bees In spring-time, when the Sun with Taurus rides. Pour forth their populous youth about the hive In clusters; they among fresh dews and flowers Fly to and fro, or on the smoothed plank, The suburb of their straw-built citadel, New rubbed with balm, expatiate, and confer Their state-affairs: so thick the airy crowd Swarmed and were straitened; till, the signal given, Behold a wonder! They but now who seemed In bigness to surpass Earth's giant sons, Now less than smallest dwarfs, in narrow room Throng numberless--like that pygmean race Beyond the Indian mount; or faery elves, Whose midnight revels, by a forest-side Or fountain, some belated peasant sees, Or dreams he sees, while overhead the Moon Sits arbitress, and nearer to the Earth Wheels her pale course: they, on their mirth and dance Intent, with jocund music charm his ear; At once with joy and fear his heart rebounds. Thus incorporeal Spirits to smallest forms Reduced their shapes immense, and were at large, Though without number still, amidst the hall Of that infernal court. But far within, And in their own dimensions like themselves, The great Seraphic Lords and Cherubim In close recess and secret conclave sat, A thousand demi-gods on golden seats, Frequent and full. After short silence then, And summons read, the great consult began. Book II High on a throne of royal state, which far Outshone the wealth or Ormus and of Ind, Or where the gorgeous East with richest hand Showers on her kings barbaric pearl and gold, Satan exalted sat, by merit raised To that bad eminence; and, from despair Thus high uplifted beyond hope, aspires Beyond thus high, insatiate to pursue Vain war with Heaven; and, by success untaught, His proud imaginations thus displayed:-- "Powers and Dominions, Deities of Heaven!-- For, since no deep within her gulf can hold Immortal vigour, though oppressed and fallen, I give not Heaven for lost: from this descent Celestial Virtues rising will appear More glorious and more dread than from no fall, And trust themselves to fear no second fate!-- Me though just right, and the fixed laws of Heaven, Did first create your leader--next, free choice With what besides in council or in fight Hath been achieved of merit--yet this loss, Thus far at least recovered, hath much more Established in a safe, unenvied throne, Yielded with full consent. The happier state In Heaven, which follows dignity, might draw Envy from each inferior; but who here Will envy whom the highest place exposes Foremost to stand against the Thunderer's aim Your bulwark, and condemns to greatest share Of endless pain? Where there is, then, no good For which to strive, no strife can grow up there From faction: for none sure will claim in Hell Precedence; none whose portion is so small Of present pain that with ambitious mind Will covet more! With this advantage, then, To union, and firm faith, and firm accord, More than can be in Heaven, we now return To claim our just inheritance of old, Surer to prosper than prosperity Could have assured us; and by what best way, Whether of open war or covert guile, We now debate. Who can advise may speak." He ceased; and next him Moloch, sceptred king, Stood up--the strongest and the fiercest Spirit That fought in Heaven, now fiercer by despair. His trust was with th' Eternal to be deemed Equal in strength, and rather than be less Cared not to be at all; with that care lost Went all his fear: of God, or Hell, or worse, He recked not, and these words thereafter spake:-- "My sentence is for open war. Of wiles, More unexpert, I boast not: them let those Contrive who need, or when they need; not now. For, while they sit contriving, shall the rest-- Millions that stand in arms, and longing wait The signal to ascend--sit lingering here, Heaven's fugitives, and for their dwelling-place Accept this dark opprobrious den of shame, The prison of his ryranny who reigns By our delay? No! let us rather choose, Armed with Hell-flames and fury, all at once O'er Heaven's high towers to force resistless way, Turning our tortures into horrid arms Against the Torturer; when, to meet the noise Of his almighty engine, he shall hear Infernal thunder, and, for lightning, see Black fire and horror shot with equal rage Among his Angels, and his throne itself Mixed with Tartarean sulphur and strange fire, His own invented torments. But perhaps The way seems difficult, and steep to scale With upright wing against a higher foe! Let such bethink them, if the sleepy drench Of that forgetful lake benumb not still, That in our porper motion we ascend Up to our native seat; descent and fall To us is adverse. Who but felt of late, When the fierce foe hung on our broken rear Insulting, and pursued us through the Deep, With what compulsion and laborious flight We sunk thus low? Th' ascent is easy, then; Th' event is feared! Should we again provoke Our stronger, some worse way his wrath may find To our destruction, if there be in Hell Fear to be worse destroyed! What can be worse Than to dwell here, driven out from bliss, condemned In this abhorred deep to utter woe! Where pain of unextinguishable fire Must exercise us without hope of end The vassals of his anger, when the scourge Inexorably, and the torturing hour, Calls us to penance? More destroyed than thus, We should be quite abolished, and expire. What fear we then? what doubt we to incense His utmost ire? which, to the height enraged, Will either quite consume us, and reduce To nothing this essential--happier far Than miserable to have eternal being!-- Or, if our substance be indeed divine, And cannot cease to be, we are at worst On this side nothing; and by proof we feel Our power sufficient to disturb his Heaven, And with perpetual inroads to alarm, Though inaccessible, his fatal throne: Which, if not victory, is yet revenge." He ended frowning, and his look denounced Desperate revenge, and battle dangerous To less than gods. On th' other side up rose Belial, in act more graceful and humane. A fairer person lost not Heaven; he seemed For dignity composed, and high exploit. But all was false and hollow; though his tongue Dropped manna, and could make the worse appear The better reason, to perplex and dash Maturest counsels: for his thoughts were low-- To vice industrious, but to nobler deeds Timorous and slothful. Yet he pleased the ear, And with persuasive accent thus began:-- "I should be much for open war, O Peers, As not behind in hate, if what was urged Main reason to persuade immediate war Did not dissuade me most, and seem to cast Ominous conjecture on the whole success; When he who most excels in fact of arms, In what he counsels and in what excels Mistrustful, grounds his courage on despair And utter dissolution, as the scope Of all his aim, after some dire revenge. First, what revenge? The towers of Heaven are filled With armed watch, that render all access Impregnable: oft on the bodering Deep Encamp their legions, or with obscure wing Scout far and wide into the realm of Night, Scorning surprise. Or, could we break our way By force, and at our heels all Hell should rise With blackest insurrection to confound Heaven's purest light, yet our great Enemy, All incorruptible, would on his throne Sit unpolluted, and th' ethereal mould, Incapable of stain, would soon expel Her mischief, and purge off the baser fire, Victorious. Thus repulsed, our final hope Is flat despair: we must exasperate Th' Almighty Victor to spend all his rage; And that must end us; that must be our cure-- To be no more. Sad cure! for who would lose, Though full of pain, this intellectual being, Those thoughts that wander through eternity, To perish rather, swallowed up and lost In the wide womb of uncreated Night, Devoid of sense and motion? And who knows, Let this be good, whether our angry Foe Can give it, or will ever? How he can Is doubtful; that he never will is sure. Will he, so wise, let loose at once his ire, Belike through impotence or unaware, To give his enemies their wish, and end Them in his anger whom his anger saves To punish endless? 'Wherefore cease we, then?' Say they who counsel war; 'we are decreed, Reserved, and destined to eternal woe; Whatever doing, what can we suffer more, What can we suffer worse?' Is this, then, worst-- Thus sitting, thus consulting, thus in arms? What when we fled amain, pursued and struck With Heaven's afflicting thunder, and besought The Deep to shelter us? This Hell then seemed A refuge from those wounds. Or when we lay Chained on the burning lake? That sure was worse. What if the breath that kindled those grim fires, Awaked, should blow them into sevenfold rage, And plunge us in the flames; or from above Should intermitted vengeance arm again His red right hand to plague us? What if all Her stores were opened, and this firmament Of Hell should spout her cataracts of fire, Impendent horrors, threatening hideous fall One day upon our heads; while we perhaps, Designing or exhorting glorious war, Caught in a fiery tempest, shall be hurled, Each on his rock transfixed, the sport and prey Or racking whirlwinds, or for ever sunk Under yon boiling ocean, wrapt in chains, There to converse with everlasting groans, Unrespited, unpitied, unreprieved, Ages of hopeless end? This would be worse. War, therefore, open or concealed, alike My voice dissuades; for what can force or guile With him, or who deceive his mind, whose eye Views all things at one view? He from Heaven's height All these our motions vain sees and derides, Not more almighty to resist our might Than wise to frustrate all our plots and wiles. Shall we, then, live thus vile--the race of Heaven Thus trampled, thus expelled, to suffer here Chains and these torments? Better these than worse, By my advice; since fate inevitable Subdues us, and omnipotent decree, The Victor's will. To suffer, as to do, Our strength is equal; nor the law unjust That so ordains. This was at first resolved, If we were wise, against so great a foe Contending, and so doubtful what might fall. I laugh when those who at the spear are bold And venturous, if that fail them, shrink, and fear What yet they know must follow--to endure Exile, or igominy, or bonds, or pain, The sentence of their Conqueror. This is now Our doom; which if we can sustain and bear, Our Supreme Foe in time may much remit His anger, and perhaps, thus far removed, Not mind us not offending, satisfied With what is punished; whence these raging fires Will slacken, if his breath stir not their flames. Our purer essence then will overcome Their noxious vapour; or, inured, not feel; Or, changed at length, and to the place conformed In temper and in nature, will receive Familiar the fierce heat; and, void of pain, This horror will grow mild, this darkness light; Besides what hope the never-ending flight Of future days may bring, what chance, what change Worth waiting--since our present lot appears For happy though but ill, for ill not worst, If we procure not to ourselves more woe." Thus Belial, with words clothed in reason's garb, Counselled ignoble ease and peaceful sloth, Not peace; and after him thus Mammon spake:-- "Either to disenthrone the King of Heaven We war, if war be best, or to regain Our own right lost. Him to unthrone we then May hope, when everlasting Fate shall yield To fickle Chance, and Chaos judge the strife. The former, vain to hope, argues as vain The latter; for what place can be for us Within Heaven's bound, unless Heaven's Lord supreme We overpower? Suppose he should relent And publish grace to all, on promise made Of new subjection; with what eyes could we Stand in his presence humble, and receive Strict laws imposed, to celebrate his throne With warbled hyms, and to his Godhead sing Forced hallelujahs, while he lordly sits Our envied sovereign, and his altar breathes Ambrosial odours and ambrosial flowers, Our servile offerings? This must be our task In Heaven, this our delight. How wearisome Eternity so spent in worship paid To whom we hate! Let us not then pursue, By force impossible, by leave obtained Unacceptable, though in Heaven, our state Of splendid vassalage; but rather seek Our own good from ourselves, and from our own Live to ourselves, though in this vast recess, Free and to none accountable, preferring Hard liberty before the easy yoke Of servile pomp. Our greatness will appear Then most conspicuous when great things of small, Useful of hurtful, prosperous of adverse, We can create, and in what place soe'er Thrive under evil, and work ease out of pain Through labour and endurance. This deep world Of darkness do we dread? How oft amidst Thick clouds and dark doth Heaven's all-ruling Sire Choose to reside, his glory unobscured, And with the majesty of darkness round Covers his throne, from whence deep thunders roar. Mustering their rage, and Heaven resembles Hell! As he our darkness, cannot we his light Imitate when we please? This desert soil Wants not her hidden lustre, gems and gold; Nor want we skill or art from whence to raise Magnificence; and what can Heaven show more? Our torments also may, in length of time, Become our elements, these piercing fires As soft as now severe, our temper changed Into their temper; which must needs remove The sensible of pain. All things invite To peaceful counsels, and the settled state Of order, how in safety best we may Compose our present evils, with regard Of what we are and where, dismissing quite All thoughts of war. Ye have what I advise." He scarce had finished, when such murmur filled Th' assembly as when hollow rocks retain The sound of blustering winds, which all night long Had roused the sea, now with hoarse cadence lull Seafaring men o'erwatched, whose bark by chance Or pinnace, anchors in a craggy bay After the tempest. Such applause was heard As Mammon ended, and his sentence pleased, Advising peace: for such another field They dreaded worse than Hell; so much the fear Of thunder and the sword of Michael Wrought still within them; and no less desire To found this nether empire, which might rise, By policy and long process of time, In emulation opposite to Heaven. Which when Beelzebub perceived--than whom, Satan except, none higher sat--with grave Aspect he rose, and in his rising seemed A pillar of state. Deep on his front engraven Deliberation sat, and public care; And princely counsel in his face yet shone, Majestic, though in ruin. Sage he stood With Atlantean shoulders, fit to bear The weight of mightiest monarchies; his look Drew audience and attention still as night Or summer's noontide air, while thus he spake:-- "Thrones and Imperial Powers, Offspring of Heaven, Ethereal Virtues! or these titles now Must we renounce, and, changing style, be called Princes of Hell? for so the popular vote Inclines--here to continue, and build up here A growing empire; doubtless! while we dream, And know not that the King of Heaven hath doomed This place our dungeon, not our safe retreat Beyond his potent arm, to live exempt From Heaven's high jurisdiction, in new league Banded against his throne, but to remain In strictest bondage, though thus far removed, Under th' inevitable curb, reserved His captive multitude. For he, to be sure, In height or depth, still first and last will reign Sole king, and of his kingdom lose no part By our revolt, but over Hell extend His empire, and with iron sceptre rule Us here, as with his golden those in Heaven. What sit we then projecting peace and war? War hath determined us and foiled with loss Irreparable; terms of peace yet none Vouchsafed or sought; for what peace will be given To us enslaved, but custody severe, And stripes and arbitrary punishment Inflicted? and what peace can we return, But, to our power, hostility and hate, Untamed reluctance, and revenge, though slow, Yet ever plotting how the Conqueror least May reap his conquest, and may least rejoice In doing what we most in suffering feel? Nor will occasion want, nor shall we need With dangerous expedition to invade Heaven, whose high walls fear no assault or siege, Or ambush from the Deep. What if we find Some easier enterprise? There is a place (If ancient and prophetic fame in Heaven Err not)--another World, the happy seat Of some new race, called Man, about this time To be created like to us, though less In power and excellence, but favoured more Of him who rules above; so was his will Pronounced among the Gods, and by an oath That shook Heaven's whole circumference confirmed. Thither let us bend all our thoughts, to learn What creatures there inhabit, of what mould Or substance, how endued, and what their power And where their weakness: how attempted best, By force of subtlety. Though Heaven be shut, And Heaven's high Arbitrator sit secure In his own strength, this place may lie exposed, The utmost border of his kingdom, left To their defence who hold it: here, perhaps, Some advantageous act may be achieved By sudden onset--either with Hell-fire To waste his whole creation, or possess All as our own, and drive, as we were driven, The puny habitants; or, if not drive, Seduce them to our party, that their God May prove their foe, and with repenting hand Abolish his own works. This would surpass Common revenge, and interrupt his joy In our confusion, and our joy upraise In his disturbance; when his darling sons, Hurled headlong to partake with us, shall curse Their frail original, and faded bliss-- Faded so soon! Advise if this be worth Attempting, or to sit in darkness here Hatching vain empires." Thus beelzebub Pleaded his devilish counsel--first devised By Satan, and in part proposed: for whence, But from the author of all ill, could spring So deep a malice, to confound the race Of mankind in one root, and Earth with Hell To mingle and involve, done all to spite The great Creator? But their spite still serves His glory to augment. The bold design Pleased highly those infernal States, and joy Sparkled in all their eyes: with full assent They vote: whereat his speech he thus renews:-- "Well have ye judged, well ended long debate, Synod of Gods, and, like to what ye are, Great things resolved, which from the lowest deep Will once more lift us up, in spite of fate, Nearer our ancient seat--perhaps in view Of those bright confines, whence, with neighbouring arms, And opportune excursion, we may chance Re-enter Heaven; or else in some mild zone Dwell, not unvisited of Heaven's fair light, Secure, and at the brightening orient beam Purge off this gloom: the soft delicious air, To heal the scar of these corrosive fires, Shall breathe her balm. But, first, whom shall we send In search of this new World? whom shall we find Sufficient? who shall tempt with wandering feet The dark, unbottomed, infinite Abyss, And through the palpable obscure find out His uncouth way, or spread his airy flight, Upborne with indefatigable wings Over the vast abrupt, ere he arrive The happy Isle? What strength, what art, can then Suffice, or what evasion bear him safe, Through the strict senteries and stations thick Of Angels watching round? Here he had need All circumspection: and we now no less Choice in our suffrage; for on whom we send The weight of all, and our last hope, relies." This said, he sat; and expectation held His look suspense, awaiting who appeared To second, or oppose, or undertake The perilous attempt. But all sat mute, Pondering the danger with deep thoughts; and each In other's countenance read his own dismay, Astonished. None among the choice and prime Of those Heaven-warring champions could be found So hardy as to proffer or accept, Alone, the dreadful voyage; till, at last, Satan, whom now transcendent glory raised Above his fellows, with monarchal pride Conscious of highest worth, unmoved thus spake:-- "O Progeny of Heaven! Empyreal Thrones! With reason hath deep silence and demur Seized us, though undismayed. Long is the way And hard, that out of Hell leads up to light. Our prison strong, this huge convex of fire, Outrageous to devour, immures us round Ninefold; and gates of burning adamant, Barred over us, prohibit all egress. These passed, if any pass, the void profound Of unessential Night receives him next, Wide-gaping, and with utter loss of being Threatens him, plunged in that abortive gulf. If thence he scape, into whatever world, Or unknown region, what remains him less Than unknown dangers, and as hard escape? But I should ill become this throne, O Peers, And this imperial sovereignty, adorned With splendour, armed with power, if aught proposed And judged of public moment in the shape Of difficulty or danger, could deter Me from attempting. Wherefore do I assume These royalties, and not refuse to reign, Refusing to accept as great a share Of hazard as of honour, due alike To him who reigns, and so much to him due Of hazard more as he above the rest High honoured sits? Go, therefore, mighty Powers, Terror of Heaven, though fallen; intend at home, While here shall be our home, what best may ease The present misery, and render Hell More tolerable; if there be cure or charm To respite, or deceive, or slack the pain Of this ill mansion: intermit no watch Against a wakeful foe, while I abroad Through all the coasts of dark destruction seek Deliverance for us all. This enterprise None shall partake with me." Thus saying, rose The Monarch, and prevented all reply; Prudent lest, from his resolution raised, Others among the chief might offer now, Certain to be refused, what erst they feared, And, so refused, might in opinion stand His rivals, winning cheap the high repute Which he through hazard huge must earn. But they Dreaded not more th' adventure than his voice Forbidding; and at once with him they rose. Their rising all at once was as the sound Of thunder heard remote. Towards him they bend With awful reverence prone, and as a God Extol him equal to the Highest in Heaven. Nor failed they to express how much they praised That for the general safety he despised His own: for neither do the Spirits damned Lose all their virtue; lest bad men should boast Their specious deeds on earth, which glory excites, Or close ambition varnished o'er with zeal. Thus they their doubtful consultations dark Ended, rejoicing in their matchless Chief: As, when from mountain-tops the dusky clouds Ascending, while the north wind sleeps, o'erspread Heaven's cheerful face, the louring element Scowls o'er the darkened landscape snow or shower, If chance the radiant sun, with farewell sweet, Extend his evening beam, the fields revive, The birds their notes renew, and bleating herds Attest their joy, that hill and valley rings. O shame to men! Devil with devil damned Firm concord holds; men only disagree Of creatures rational, though under hope Of heavenly grace, and, God proclaiming peace, Yet live in hatred, enmity, and strife Among themselves, and levy cruel wars Wasting the earth, each other to destroy: As if (which might induce us to accord) Man had not hellish foes enow besides, That day and night for his destruction wait! The Stygian council thus dissolved; and forth In order came the grand infernal Peers: Midst came their mighty Paramount, and seemed Alone th' antagonist of Heaven, nor less Than Hell's dread Emperor, with pomp supreme, And god-like imitated state: him round A globe of fiery Seraphim enclosed With bright emblazonry, and horrent arms. Then of their session ended they bid cry With trumpet's regal sound the great result: Toward the four winds four speedy Cherubim Put to their mouths the sounding alchemy, By herald's voice explained; the hollow Abyss Heard far adn wide, and all the host of Hell With deafening shout returned them loud acclaim. Thence more at ease their minds, and somewhat raised By false presumptuous hope, the ranged Powers Disband; and, wandering, each his several way Pursues, as inclination or sad choice Leads him perplexed, where he may likeliest find Truce to his restless thoughts, and entertain The irksome hours, till his great Chief return. Part on the plain, or in the air sublime, Upon the wing or in swift race contend, As at th' Olympian games or Pythian fields; Part curb their fiery steeds, or shun the goal With rapid wheels, or fronted brigades form: As when, to warn proud cities, war appears Waged in the troubled sky, and armies rush To battle in the clouds; before each van Prick forth the airy knights, and couch their spears, Till thickest legions close; with feats of arms From either end of heaven the welkin burns. Others, with vast Typhoean rage, more fell, Rend up both rocks and hills, and ride the air In whirlwind; Hell scarce holds the wild uproar:-- As when Alcides, from Oechalia crowned With conquest, felt th' envenomed robe, and tore Through pain up by the roots Thessalian pines, And Lichas from the top of Oeta threw Into th' Euboic sea. Others, more mild, Retreated in a silent valley, sing With notes angelical to many a harp Their own heroic deeds, and hapless fall By doom of battle, and complain that Fate Free Virtue should enthrall to Force or Chance. Their song was partial; but the harmony (What could it less when Spirits immortal sing?) Suspended Hell, and took with ravishment The thronging audience. In discourse more sweet (For Eloquence the Soul, Song charms the Sense) Others apart sat on a hill retired, In thoughts more elevate, and reasoned high Of Providence, Foreknowledge, Will, and Fate-- Fixed fate, free will, foreknowledge absolute, And found no end, in wandering mazes lost. Of good and evil much they argued then, Of happiness and final misery, Passion and apathy, and glory and shame: Vain wisdom all, and false philosophy!-- Yet, with a pleasing sorcery, could charm Pain for a while or anguish, and excite Fallacious hope, or arm th' obdured breast With stubborn patience as with triple steel. Another part, in squadrons and gross bands, On bold adventure to discover wide That dismal world, if any clime perhaps Might yield them easier habitation, bend Four ways their flying march, along the banks Of four infernal rivers, that disgorge Into the burning lake their baleful streams-- Abhorred Styx, the flood of deadly hate; Sad Acheron of sorrow, black and deep; Cocytus, named of lamentation loud Heard on the rueful stream; fierce Phlegeton, Whose waves of torrent fire inflame with rage. Far off from these, a slow and silent stream, Lethe, the river of oblivion, rolls Her watery labyrinth, whereof who drinks Forthwith his former state and being forgets-- Forgets both joy and grief, pleasure and pain. Beyond this flood a frozen continent Lies dark and wild, beat with perpetual storms Of whirlwind and dire hail, which on firm land Thaws not, but gathers heap, and ruin seems Of ancient pile; all else deep snow and ice, A gulf profound as that Serbonian bog Betwixt Damiata and Mount Casius old, Where armies whole have sunk: the parching air Burns frore, and cold performs th' effect of fire. Thither, by harpy-footed Furies haled, At certain revolutions all the damned Are brought; and feel by turns the bitter change Of fierce extremes, extremes by change more fierce, From beds of raging fire to starve in ice Their soft ethereal warmth, and there to pine Immovable, infixed, and frozen round Periods of time,--thence hurried back to fire. They ferry over this Lethean sound Both to and fro, their sorrow to augment, And wish and struggle, as they pass, to reach The tempting stream, with one small drop to lose In sweet forgetfulness all pain and woe, All in one moment, and so near the brink; But Fate withstands, and, to oppose th' attempt, Medusa with Gorgonian terror guards The ford, and of itself the water flies All taste of living wight, as once it fled The lip of Tantalus. Thus roving on In confused march forlorn, th' adventurous bands, With shuddering horror pale, and eyes aghast, Viewed first their lamentable lot, and found No rest. Through many a dark and dreary vale They passed, and many a region dolorous, O'er many a frozen, many a fiery alp, Rocks, caves, lakes, fens, bogs, dens, and shades of death-- A universe of death, which God by curse Created evil, for evil only good; Where all life dies, death lives, and Nature breeds, Perverse, all monstrous, all prodigious things, Obominable, inutterable, and worse Than fables yet have feigned or fear conceived, Gorgons, and Hydras, and Chimeras dire. Meanwhile the Adversary of God and Man, Satan, with thoughts inflamed of highest design, Puts on swift wings, and toward the gates of Hell Explores his solitary flight: sometimes He scours the right hand coast, sometimes the left; Now shaves with level wing the deep, then soars Up to the fiery concave towering high. As when far off at sea a fleet descried Hangs in the clouds, by equinoctial winds Close sailing from Bengala, or the isles Of Ternate and Tidore, whence merchants bring Their spicy drugs; they on the trading flood, Through the wide Ethiopian to the Cape, Ply stemming nightly toward the pole: so seemed Far off the flying Fiend. At last appear Hell-bounds, high reaching to the horrid roof, And thrice threefold the gates; three folds were brass, Three iron, three of adamantine rock, Impenetrable, impaled with circling fire, Yet unconsumed. Before the gates there sat On either side a formidable Shape. The one seemed woman to the waist, and fair, But ended foul in many a scaly fold, Voluminous and vast--a serpent armed With mortal sting. About her middle round A cry of Hell-hounds never-ceasing barked With wide Cerberean mouths full loud, and rung A hideous peal; yet, when they list, would creep, If aught disturbed their noise, into her womb, And kennel there; yet there still barked and howled Within unseen. Far less abhorred than these Vexed Scylla, bathing in the sea that parts Calabria from the hoarse Trinacrian shore; Nor uglier follow the night-hag, when, called In secret, riding through the air she comes, Lured with the smell of infant blood, to dance With Lapland witches, while the labouring moon Eclipses at their charms. The other Shape-- If shape it might be called that shape had none Distinguishable in member, joint, or limb; Or substance might be called that shadow seemed, For each seemed either--black it stood as Night, Fierce as ten Furies, terrible as Hell, And shook a dreadful dart: what seemed his head The likeness of a kingly crown had on. Satan was now at hand, and from his seat The monster moving onward came as fast With horrid strides; Hell trembled as he strode. Th' undaunted Fiend what this might be admired-- Admired, not feared (God and his Son except, Created thing naught valued he nor shunned), And with disdainful look thus first began:-- "Whence and what art thou, execrable Shape, That dar'st, though grim and terrible, advance Thy miscreated front athwart my way To yonder gates? Through them I mean to pass, That be assured, without leave asked of thee. Retire; or taste thy folly, and learn by proof, Hell-born, not to contend with Spirits of Heaven." To whom the Goblin, full of wrath, replied:-- "Art thou that traitor Angel? art thou he, Who first broke peace in Heaven and faith, till then Unbroken, and in proud rebellious arms Drew after him the third part of Heaven's sons, Conjured against the Highest--for which both thou And they, outcast from God, are here condemned To waste eternal days in woe and pain? And reckon'st thou thyself with Spirits of Heaven Hell-doomed, and breath'st defiance here and scorn, Where I reign king, and, to enrage thee more, Thy king and lord? Back to thy punishment, False fugitive; and to thy speed add wings, Lest with a whip of scorpions I pursue Thy lingering, or with one stroke of this dart Strange horror seize thee, and pangs unfelt before." So spake the grisly Terror, and in shape, So speaking and so threatening, grew tenfold, More dreadful and deform. On th' other side, Incensed with indignation, Satan stood Unterrified, and like a comet burned, That fires the length of Ophiuchus huge In th' arctic sky, and from his horrid hair Shakes pestilence and war. Each at the head Levelled his deadly aim; their fatal hands No second stroke intend; and such a frown Each cast at th' other as when two black clouds, With heaven's artillery fraught, came rattling on Over the Caspian,--then stand front to front Hovering a space, till winds the signal blow To join their dark encounter in mid-air. So frowned the mighty combatants that Hell Grew darker at their frown; so matched they stood; For never but once more was wither like To meet so great a foe. And now great deeds Had been achieved, whereof all Hell had rung, Had not the snaky Sorceress, that sat Fast by Hell-gate and kept the fatal key, Risen, and with hideous outcry rushed between. "O father, what intends thy hand," she cried, "Against thy only son? What fury, O son, Possesses thee to bend that mortal dart Against thy father's head? And know'st for whom? For him who sits above, and laughs the while At thee, ordained his drudge to execute Whate'er his wrath, which he calls justice, bids-- His wrath, which one day will destroy ye both!" She spake, and at her words the hellish Pest Forbore: then these to her Satan returned:-- "So strange thy outcry, and thy words so strange Thou interposest, that my sudden hand, Prevented, spares to tell thee yet by deeds What it intends, till first I know of thee What thing thou art, thus double-formed, and why, In this infernal vale first met, thou call'st Me father, and that phantasm call'st my son. I know thee not, nor ever saw till now Sight more detestable than him and thee." T' whom thus the Portress of Hell-gate replied:-- "Hast thou forgot me, then; and do I seem Now in thine eye so foul?--once deemed so fair In Heaven, when at th' assembly, and in sight Of all the Seraphim with thee combined In bold conspiracy against Heaven's King, All on a sudden miserable pain Surprised thee, dim thine eyes and dizzy swum In darkness, while thy head flames thick and fast Threw forth, till on the left side opening wide, Likest to thee in shape and countenance bright, Then shining heavenly fair, a goddess armed, Out of thy head I sprung. Amazement seized All th' host of Heaven; back they recoiled afraid At first, and called me Sin, and for a sign Portentous held me; but, familiar grown, I pleased, and with attractive graces won The most averse--thee chiefly, who, full oft Thyself in me thy perfect image viewing, Becam'st enamoured; and such joy thou took'st With me in secret that my womb conceived A growing burden. Meanwhile war arose, And fields were fought in Heaven: wherein remained (For what could else?) to our Almighty Foe Clear victory; to our part loss and rout Through all the Empyrean. Down they fell, Driven headlong from the pitch of Heaven, down Into this Deep; and in the general fall I also: at which time this powerful key Into my hands was given, with charge to keep These gates for ever shut, which none can pass Without my opening. Pensive here I sat Alone; but long I sat not, till my womb, Pregnant by thee, and now excessive grown, Prodigious motion felt and rueful throes. At last this odious offspring whom thou seest, Thine own begotten, breaking violent way, Tore through my entrails, that, with fear and pain Distorted, all my nether shape thus grew Transformed: but he my inbred enemy Forth issued, brandishing his fatal dart, Made to destroy. I fled, and cried out Death! Hell trembled at the hideous name, and sighed From all her caves, and back resounded Death! I fled; but he pursued (though more, it seems, Inflamed with lust than rage), and, swifter far, Me overtook, his mother, all dismayed, And, in embraces forcible and foul Engendering with me, of that rape begot These yelling monsters, that with ceaseless cry Surround me, as thou saw'st--hourly conceived And hourly born, with sorrow infinite To me; for, when they list, into the womb That bred them they return, and howl, and gnaw My bowels, their repast; then, bursting forth Afresh, with conscious terrors vex me round, That rest or intermission none I find. Before mine eyes in opposition sits Grim Death, my son and foe, who set them on, And me, his parent, would full soon devour For want of other prey, but that he knows His end with mine involved, and knows that I Should prove a bitter morsel, and his bane, Whenever that shall be: so Fate pronounced. But thou, O father, I forewarn thee, shun His deadly arrow; neither vainly hope To be invulnerable in those bright arms, Through tempered heavenly; for that mortal dint, Save he who reigns above, none can resist." She finished; and the subtle Fiend his lore Soon learned, now milder, and thus answered smooth:-- "Dear daughter--since thou claim'st me for thy sire, And my fair son here show'st me, the dear pledge Of dalliance had with thee in Heaven, and joys Then sweet, now sad to mention, through dire change Befallen us unforeseen, unthought-of--know, I come no enemy, but to set free From out this dark and dismal house of pain Both him and thee, and all the heavenly host Of Spirits that, in our just pretences armed, Fell with us from on high. From them I go This uncouth errand sole, and one for all Myself expose, with lonely steps to tread Th' unfounded Deep, and through the void immense To search, with wandering quest, a place foretold Should be--and, by concurring signs, ere now Created vast and round--a place of bliss In the purlieus of Heaven; and therein placed A race of upstart creatures, to supply Perhaps our vacant room, though more removed, Lest Heaven, surcharged with potent multitude, Might hap to move new broils. Be this, or aught Than this more secret, now designed, I haste To know; and, this once known, shall soon return, And bring ye to the place where thou and Death Shall dwell at ease, and up and down unseen Wing silently the buxom air, embalmed With odours. There ye shall be fed and filled Immeasurably; all things shall be your prey." He ceased; for both seemed highly pleased, and Death Grinned horrible a ghastly smile, to hear His famine should be filled, and blessed his maw Destined to that good hour. No less rejoiced His mother bad, and thus bespake her sire:-- "The key of this infernal Pit, by due And by command of Heaven's all-powerful King, I keep, by him forbidden to unlock These adamantine gates; against all force Death ready stands to interpose his dart, Fearless to be o'ermatched by living might. But what owe I to his commands above, Who hates me, and hath hither thrust me down Into this gloom of Tartarus profound, To sit in hateful office here confined, Inhabitant of Heaven and heavenly born-- Here in perpetual agony and pain, With terrors and with clamours compassed round Of mine own brood, that on my bowels feed? Thou art my father, thou my author, thou My being gav'st me; whom should I obey But thee? whom follow? Thou wilt bring me soon To that new world of light and bliss, among The gods who live at ease, where I shall reign At thy right hand voluptuous, as beseems Thy daughter and thy darling, without end." Thus saying, from her side the fatal key, Sad instrument of all our woe, she took; And, towards the gate rolling her bestial train, Forthwith the huge portcullis high up-drew, Which, but herself, not all the Stygian Powers Could once have moved; then in the key-hole turns Th' intricate wards, and every bolt and bar Of massy iron or solid rock with ease Unfastens. On a sudden open fly, With impetuous recoil and jarring sound, Th' infernal doors, and on their hinges grate Harsh thunder, that the lowest bottom shook Of Erebus. She opened; but to shut Excelled her power: the gates wide open stood, That with extended wings a bannered host, Under spread ensigns marching, mibht pass through With horse and chariots ranked in loose array; So wide they stood, and like a furnace-mouth Cast forth redounding smoke and ruddy flame. Before their eyes in sudden view appear The secrets of the hoary Deep--a dark Illimitable ocean, without bound, Without dimension; where length, breadth, and height, And time, and place, are lost; where eldest Night And Chaos, ancestors of Nature, hold Eternal anarchy, amidst the noise Of endless wars, and by confusion stand. For Hot, Cold, Moist, and Dry, four champions fierce, Strive here for mastery, and to battle bring Their embryon atoms: they around the flag Of each his faction, in their several clans, Light-armed or heavy, sharp, smooth, swift, or slow, Swarm populous, unnumbered as the sands Of Barca or Cyrene's torrid soil, Levied to side with warring winds, and poise Their lighter wings. To whom these most adhere He rules a moment: Chaos umpire sits, And by decision more embroils the fray By which he reigns: next him, high arbiter, Chance governs all. Into this wild Abyss, The womb of Nature, and perhaps her grave, Of neither sea, nor shore, nor air, nor fire, But all these in their pregnant causes mixed Confusedly, and which thus must ever fight, Unless th' Almighty Maker them ordain His dark materials to create more worlds-- Into this wild Abyss the wary Fiend Stood on the brink of Hell and looked a while, Pondering his voyage; for no narrow frith He had to cross. Nor was his ear less pealed With noises loud and ruinous (to compare Great things with small) than when Bellona storms With all her battering engines, bent to rase Some capital city; or less than if this frame Of Heaven were falling, and these elements In mutiny had from her axle torn The steadfast Earth. At last his sail-broad vans He spread for flight, and, in the surging smoke Uplifted, spurns the ground; thence many a league, As in a cloudy chair, ascending rides Audacious; but, that seat soon failing, meets A vast vacuity. All unawares, Fluttering his pennons vain, plumb-down he drops Ten thousand fathom deep, and to this hour Down had been falling, had not, by ill chance, The strong rebuff of some tumultuous cloud, Instinct with fire and nitre, hurried him As many miles aloft. That fury stayed-- Quenched in a boggy Syrtis, neither sea, Nor good dry land--nigh foundered, on he fares, Treading the crude consistence, half on foot, Half flying; behoves him now both oar and sail. As when a gryphon through the wilderness With winged course, o'er hill or moory dale, Pursues the Arimaspian, who by stealth Had from his wakeful custody purloined The guarded gold; so eagerly the Fiend O'er bog or steep, through strait, rough, dense, or rare, With head, hands, wings, or feet, pursues his way, And swims, or sinks, or wades, or creeps, or flies. At length a universal hubbub wild Of stunning sounds, and voices all confused, Borne through the hollow dark, assaults his ear With loudest vehemence. Thither he plies Undaunted, to meet there whatever Power Or Spirit of the nethermost Abyss Might in that noise reside, of whom to ask Which way the nearest coast of darkness lies Bordering on light; when straight behold the throne Of Chaos, and his dark pavilion spread Wide on the wasteful Deep! With him enthroned Sat sable-vested Night, eldest of things, The consort of his reign; and by them stood Orcus and Ades, and the dreaded name Of Demogorgon; Rumour next, and Chance, And Tumult, and Confusion, all embroiled, And Discord with a thousand various mouths. T' whom Satan, turning boldly, thus:--"Ye Powers And Spirtis of this nethermost Abyss, Chaos and ancient Night, I come no spy With purpose to explore or to disturb The secrets of your realm; but, by constraint Wandering this darksome desert, as my way Lies through your spacious empire up to light, Alone and without guide, half lost, I seek, What readiest path leads where your gloomy bounds Confine with Heaven; or, if some other place, From your dominion won, th' Ethereal King Possesses lately, thither to arrive I travel this profound. Direct my course: Directed, no mean recompense it brings To your behoof, if I that region lost, All usurpation thence expelled, reduce To her original darkness and your sway (Which is my present journey), and once more Erect the standard there of ancient Night. Yours be th' advantage all, mine the revenge!" Thus Satan; and him thus the Anarch old, With faltering speech and visage incomposed, Answered: "I know thee, stranger, who thou art-- *** That mighty leading Angel, who of late Made head against Heaven's King, though overthrown. I saw and heard; for such a numerous host Fled not in silence through the frighted Deep, With ruin upon ruin, rout on rout, Confusion worse confounded; and Heaven-gates Poured out by millions her victorious bands, Pursuing. I upon my frontiers here Keep residence; if all I can will serve That little which is left so to defend, Encroached on still through our intestine broils Weakening the sceptre of old Night: first, Hell, Your dungeon, stretching far and wide beneath; Now lately Heaven and Earth, another world Hung o'er my realm, linked in a golden chain To that side Heaven from whence your legions fell! If that way be your walk, you have not far; So much the nearer danger. Go, and speed; Havoc, and spoil, and ruin, are my gain." He ceased; and Satan stayed not to reply, But, glad that now his sea should find a shore, With fresh alacrity and force renewed Springs upward, like a pyramid of fire, Into the wild expanse, and through the shock Of fighting elements, on all sides round Environed, wins his way; harder beset And more endangered than when Argo passed Through Bosporus betwixt the justling rocks, Or when Ulysses on the larboard shunned Charybdis, and by th' other whirlpool steered. So he with difficulty and labour hard Moved on, with difficulty and labour he; But, he once passed, soon after, when Man fell, Strange alteration! Sin and Death amain, Following his track (such was the will of Heaven) Paved after him a broad and beaten way Over the dark Abyss, whose boiling gulf Tamely endured a bridge of wondrous length, From Hell continued, reaching th' utmost orb Of this frail World; by which the Spirits perverse With easy intercourse pass to and fro To tempt or punish mortals, except whom God and good Angels guard by special grace. But now at last the sacred influence Of light appears, and from the walls of Heaven Shoots far into the bosom of dim Night A glimmering dawn. Here Nature first begins Her farthest verge, and Chaos to retire, As from her outmost works, a broken foe, With tumult less and with less hostile din; That Satan with less toil, and now with ease, Wafts on the calmer wave by dubious light, And, like a weather-beaten vessel, holds Gladly the port, though shrouds and tackle torn; Or in the emptier waste, resembling air, Weighs his spread wings, at leisure to behold Far off th' empyreal Heaven, extended wide In circuit, undetermined square or round, With opal towers and battlements adorned Of living sapphire, once his native seat; And, fast by, hanging in a golden chain, This pendent World, in bigness as a star Of smallest magnitude close by the moon. Thither, full fraught with mischievous revenge, Accursed, and in a cursed hour, he hies. Book III Hail, holy Light, offspring of Heaven firstborn, Or of the Eternal coeternal beam May I express thee unblam'd? since God is light, And never but in unapproached light Dwelt from eternity, dwelt then in thee Bright effluence of bright essence increate. Or hear"st thou rather pure ethereal stream, Whose fountain who shall tell? before the sun, Before the Heavens thou wert, and at the voice Of God, as with a mantle, didst invest *** The rising world of waters dark and deep, Won from the void and formless infinite. Thee I re-visit now with bolder wing, Escap'd the Stygian pool, though long detain'd In that obscure sojourn, while in my flight Through utter and through middle darkness borne, With other notes than to the Orphean lyre I sung of Chaos and eternal Night; Taught by the heavenly Muse to venture down The dark descent, and up to re-ascend, Though hard and rare: Thee I revisit safe, And feel thy sovran vital lamp; but thou Revisit'st not these eyes, that roll in vain To find thy piercing ray, and find no dawn; So thick a drop serene hath quench'd their orbs, Or dim suffusion veil'd. Yet not the more Cease I to wander, where the Muses haunt, Clear spring, or shady grove, or sunny hill, Smit with the love of sacred song; but chief Thee, Sion, and the flowery brooks beneath, That wash thy hallow'd feet, and warbling flow, Nightly I visit: nor sometimes forget So were I equall'd with them in renown, Thy sovran command, that Man should find grace; Blind Thamyris, and blind Maeonides, And Tiresias, and Phineus, prophets old: Then feed on thoughts, that voluntary move Harmonious numbers; as the wakeful bird Sings darkling, and in shadiest covert hid Tunes her nocturnal note. Thus with the year Seasons return; but not to me returns Day, or the sweet approach of even or morn, Or sight of vernal bloom, or summer's rose, Or flocks, or herds, or human face divine; But cloud instead, and ever-during dark Surrounds me, from the cheerful ways of men Cut off, and for the book of knowledge fair Presented with a universal blank Of nature's works to me expung'd and ras'd, And wisdom at one entrance quite shut out. So much the rather thou, celestial Light, Shine inward, and the mind through all her powers Irradiate; there plant eyes, all mist from thence Purge and disperse, that I may see and tell Of things invisible to mortal sight. Now had the Almighty Father from above, From the pure empyrean where he sits High thron'd above all highth, bent down his eye His own works and their works at once to view: About him all the Sanctities of Heaven Stood thick as stars, and from his sight receiv'd Beatitude past utterance; on his right The radiant image of his glory sat, His only son; on earth he first beheld Our two first parents, yet the only two Of mankind in the happy garden plac'd Reaping immortal fruits of joy and love, Uninterrupted joy, unrivall'd love, In blissful solitude; he then survey'd Hell and the gulf between, and Satan there Coasting the wall of Heaven on this side Night In the dun air sublime, and ready now To stoop with wearied wings, and willing feet, On the bare outside of this world, that seem'd Firm land imbosom'd, without firmament, Uncertain which, in ocean or in air. Him God beholding from his prospect high, Wherein past, present, future, he beholds, Thus to his only Son foreseeing spake. Only begotten Son, seest thou what rage Transports our Adversary? whom no bounds Prescrib'd no bars of Hell, nor all the chains Heap'd on him there, nor yet the main abyss Wide interrupt, can hold; so bent he seems On desperate revenge, that shall redound Upon his own rebellious head. And now, Through all restraint broke loose, he wings his way Not far off Heaven, in the precincts of light, Directly towards the new created world, And man there plac'd, with purpose to assay If him by force he can destroy, or, worse, By some false guile pervert; and shall pervert; For man will hearken to his glozing lies, And easily transgress the sole command, Sole pledge of his obedience: So will fall He and his faithless progeny: Whose fault? Whose but his own? ingrate, he had of me All he could have; I made him just and right, Sufficient to have stood, though free to fall. Such I created all the ethereal Powers And Spirits, both them who stood, and them who fail'd; Freely they stood who stood, and fell who fell. Not free, what proof could they have given sincere Of true allegiance, constant faith or love, Where only what they needs must do appear'd, Not what they would? what praise could they receive? What pleasure I from such obedience paid, When will and reason (reason also is choice) Useless and vain, of freedom both despoil'd, Made passive both, had serv'd necessity, Not me? they therefore, as to right belong$ 'd, So were created, nor can justly accuse Their Maker, or their making, or their fate, As if predestination over-rul'd Their will dispos'd by absolute decree Or high foreknowledge they themselves decreed Their own revolt, not I; if I foreknew, Foreknowledge had no influence on their fault, Which had no less proved certain unforeknown. So without least impulse or shadow of fate, Or aught by me immutably foreseen, They trespass, authors to themselves in all Both what they judge, and what they choose; for so I form'd them free: and free they must remain, Till they enthrall themselves; I else must change Their nature, and revoke the high decree Unchangeable, eternal, which ordain'd $THeir freedom: they themselves ordain'd their fall. The first sort by their own suggestion fell, Self-tempted, self-deprav'd: Man falls, deceiv'd By the other first: Man therefore shall find grace, The other none: In mercy and justice both, Through Heaven and Earth, so shall my glory excel; But Mercy, first and last, shall brightest shine. Thus while God spake, ambrosial fragrance fill'd All Heaven, and in the blessed Spirits elect Sense of new joy ineffable diffus'd. Beyond compare the Son of God was seen Most glorious; in him all his Father shone Substantially express'd; and in his face Divine compassion visibly appear'd, Love without end, and without measure grace, Which uttering, thus he to his Father spake. O Father, gracious was that word which clos'd Thy sovran command, that Man should find grace; , that Man should find grace; For which both Heaven and earth shall high extol Thy praises, with the innumerable sound Of hymns and sacred songs, wherewith thy throne Encompass'd shall resound thee ever blest. For should Man finally be lost, should Man, Thy creature late so lov'd, thy youngest son, Fall circumvented thus by fraud, though join'd With his own folly? that be from thee far, That far be from thee, Father, who art judge Of all things made, and judgest only right. Or shall the Adversary thus obtain His end, and frustrate thine? shall he fulfill His malice, and thy goodness bring to nought, Or proud return, though to his heavier doom, Yet with revenge accomplish'd, and to Hell Draw after him the whole race of mankind, By him corrupted? or wilt thou thyself Abolish thy creation, and unmake For him, what for thy glory thou hast made? So should thy goodness and thy greatness both Be question'd and blasphem'd without defence. To whom the great Creator thus replied. O son, in whom my soul hath chief delight, Son of my bosom, Son who art alone. My word, my wisdom, and effectual might, All hast thou spoken as my thoughts are, all As my eternal purpose hath decreed; Man shall not quite be lost, but sav'd who will; Yet not of will in him, but grace in me Freely vouchsaf'd; once more I will renew His lapsed powers, though forfeit; and enthrall'd By sin to foul exorbitant desires; Upheld by me, yet once more he shall stand On even ground against his mortal foe; By me upheld, that he may know how frail His fallen condition is, and to me owe All his deliverance, and to none but me. Some I have chosen of peculiar grace, Elect above the rest; so is my will: The rest shall hear me call, and oft be warn'd Their sinful state, and to appease betimes The incensed Deity, while offer'd grace Invites; for I will clear their senses dark, What may suffice, and soften stony hearts To pray, repent, and bring obedience due. To prayer, repentance, and obedience due, Though but endeavour'd with sincere intent, Mine ear shall not be slow, mine eye not shut. And I will place within them as a guide, My umpire Conscience; whom if they will hear, Light after light, well us'd, they shall attain, And to the end, persisting, safe arrive. This my long sufferance, and my day of grace, They who neglect and scorn, shall never taste; But hard be harden'd, blind be blinded more, That they may stumble on, and deeper fall; And none but such from mercy I exclude. But yet all is not done; Man disobeying, Disloyal, breaks his fealty, and sins Against the high supremacy of Heaven, Affecting God-head, and, so losing all, To expiate his treason hath nought left, But to destruction sacred and devote, He, with his whole posterity, must die, Die he or justice must; unless for him Some other able, and as willing, pay The rigid satisfaction, death for death. Say, heavenly Powers, where shall we find such love? Which of you will be mortal, to redeem Man's mortal crime, and just the unjust to save? Dwells in all Heaven charity so dear? And silence was in Heaven: $ on Man's behalf He ask'd, but all the heavenly quire stood mute, Patron or intercessour none appear'd, Much less that durst upon his own head draw The deadly forfeiture, and ransom set. And now without redemption all mankind Must have been lost, adjudg'd to Death and Hell By doom severe, had not the Son of God, In whom the fulness dwells of love divine, His dearest mediation thus renew'd. Father, thy word is past, Man shall find grace; And shall grace not find means, that finds her way, The speediest of thy winged messengers, To visit all thy creatures, and to all Comes unprevented, unimplor'd, unsought? Happy for Man, so coming; he her aid Can never seek, once dead in sins, and lost; Atonement for himself, or offering meet, Indebted and undone, hath none to bring; Behold me then: me for him, life for life I offer: on me let thine anger fall; Account me Man; I for his sake will leave Thy bosom, and this glory next to thee Freely put off, and for him lastly die Well pleased; on me let Death wreak all his rage. Under his gloomy power I shall not long Lie vanquished. Thou hast given me to possess Life in myself for ever; by thee I live; Though now to Death I yield, and am his due, All that of me can die, yet, that debt paid, $ thou wilt not leave me in the loathsome grave His prey, nor suffer my unspotted soul For ever with corruption there to dwell; But I shall rise victorious, and subdue My vanquisher, spoiled of his vaunted spoil. Death his death's wound shall then receive, and stoop Inglorious, of his mortal sting disarmed; I through the ample air in triumph high Shall lead Hell captive maugre Hell, and show The powers of darkness bound. Thou, at the sight Pleased, out of Heaven shalt look down and smile, While, by thee raised, I ruin all my foes; Death last, and with his carcase glut the grave; Then, with the multitude of my redeemed, Shall enter Heaven, long absent, and return, Father, to see thy face, wherein no cloud Of anger shall remain, but peace assured And reconcilement: wrath shall be no more Thenceforth, but in thy presence joy entire. His words here ended; but his meek aspect Silent yet spake, and breathed immortal love To mortal men, above which only shone Filial obedience: as a sacrifice Glad to be offered, he attends the will Of his great Father. Admiration seized All Heaven, what this might mean, and whither tend, Wondering; but soon th' Almighty thus replied. O thou in Heaven and Earth the only peace Found out for mankind under wrath, O thou My sole complacence! Well thou know'st how dear To me are all my works; nor Man the least, Though last created, that for him I spare Thee from my bosom and right hand, to save, By losing thee a while, the whole race lost. 00021053 Thou, therefore, whom thou only canst redeem, Their nature also to thy nature join; And be thyself Man among men on Earth, Made flesh, when time shall be, of virgin seed, By wondrous birth; be thou in Adam's room The head of all mankind, though Adam's son. As in him perish all men, so in thee, As from a second root, shall be restored As many as are restored, without thee none. His crime makes guilty all his sons; thy merit, Imputed, shall absolve them who renounce Their own both righteous and unrighteous deeds, And live in thee transplanted, and from thee Receive new life. So Man, as is most just, Shall satisfy for Man, be judged and die, And dying rise, and rising with him raise His brethren, ransomed with his own dear life. So heavenly love shall outdo hellish hate, Giving to death, and dying to redeem, So dearly to redeem what hellish hate So easily destroyed, and still destroys In those who, when they may, accept not grace. Nor shalt thou, by descending to assume Man's nature, lessen or degrade thine own. Because thou hast, though throned in highest bliss Equal to God, and equally enjoying God-like fruition, quitted all, to save A world from utter loss, and hast been found By merit more than birthright Son of God, Found worthiest to be so by being good, Far more than great or high; because in thee Love hath abounded more than glory abounds; Therefore thy humiliation shall exalt With thee thy manhood also to this throne: Here shalt thou sit incarnate, here shalt reign Both God and Man, Son both of God and Man, Anointed universal King; all power I give thee; reign for ever, and assume Thy merits; under thee, as head supreme, Thrones, Princedoms, Powers, Dominions, I reduce: All knees to thee shall bow, of them that bide In Heaven, or Earth, or under Earth in Hell. When thou, attended gloriously from Heaven, Shalt in the sky appear, and from thee send The summoning Arch-Angels to proclaim Thy dread tribunal; forthwith from all winds, The living, and forthwith the cited dead Of all past ages, to the general doom Shall hasten; such a peal shall rouse their sleep. Then, all thy saints assembled, thou shalt judge Bad Men and Angels; they, arraigned, shall sink Beneath thy sentence; Hell, her numbers full, Thenceforth shall be for ever shut. Mean while The world shall burn, and from her ashes spring New Heaven and Earth, wherein the just shall dwell, And, after all their tribulations long, See golden days, fruitful of golden deeds, With joy and peace triumphing, and fair truth. Then thou thy regal scepter shalt lay by, For regal scepter then no more shall need, God shall be all in all. But, all ye Gods, Adore him, who to compass all this dies; Adore the Son, and honour him as me. No sooner had the Almighty ceased, but all The multitude of Angels, with a shout Loud as from numbers without number, sweet As from blest voices, uttering joy, Heaven rung With jubilee, and loud Hosannas filled The eternal regions: Lowly reverent Towards either throne they bow, and to the ground With solemn adoration down they cast Their crowns inwove with amarant and gold; Immortal amarant, a flower which once In Paradise, fast by the tree of life, Began to bloom; but soon for man's offence To Heaven removed, where first it grew, there grows, And flowers aloft shading the fount of life, And where the river of bliss through midst of Heaven Rolls o'er Elysian flowers her amber stream; With these that never fade the Spirits elect Bind their resplendent locks inwreathed with beams; Now in loose garlands thick thrown off, the bright Pavement, that like a sea of jasper shone, Impurpled with celestial roses smiled. Then, crowned again, their golden harps they took, Harps ever tuned, that glittering by their side Like quivers hung, and with preamble sweet Of charming symphony they introduce Their sacred song, and waken raptures high; No voice exempt, no voice but well could join Melodious part, such concord is in Heaven. Thee, Father, first they sung Omnipotent, Immutable, Immortal, Infinite, Eternal King; the Author of all being, Fonntain of light, thyself invisible Amidst the glorious brightness where thou sit'st Throned inaccessible, but when thou shadest The full blaze of thy beams, and, through a cloud Drawn round about thee like a radiant shrine, Dark with excessive bright thy skirts appear, Yet dazzle Heaven, that brightest Seraphim Approach not, but with both wings veil their eyes. Thee next they sang of all creation first, Begotten Son, Divine Similitude, In whose conspicuous countenance, without cloud Made visible, the Almighty Father shines, Whom else no creature can behold; on thee Impressed the effulgence of his glory abides, Transfused on thee his ample Spirit rests. He Heaven of Heavens and all the Powers therein By thee created; and by thee threw down The aspiring Dominations: Thou that day Thy Father's dreadful thunder didst not spare, Nor stop thy flaming chariot-wheels, that shook Heaven's everlasting frame, while o'er the necks Thou drovest of warring Angels disarrayed. Back from pursuit thy Powers with loud acclaim Thee only extolled, Son of thy Father's might, To execute fierce vengeance on his foes, Not so on Man: Him through their malice fallen, Father of mercy and grace, thou didst not doom So strictly, but much more to pity incline: No sooner did thy dear and only Son Perceive thee purposed not to doom frail Man So strictly, but much more to pity inclined, He to appease thy wrath, and end the strife Of mercy and justice in thy face discerned, Regardless of the bliss wherein he sat Second to thee, offered himself to die For Man's offence. O unexampled love, Love no where to be found less than Divine! Hail, Son of God, Saviour of Men! Thy name Shall be the copious matter of my song Henceforth, and never shall my heart thy praise Forget, nor from thy Father's praise disjoin. Thus they in Heaven, above the starry sphere, Their happy hours in joy and hymning spent. Mean while upon the firm opacous globe Of this round world, whose first convex divides The luminous inferiour orbs, enclosed From Chaos, and the inroad of Darkness old, Satan alighted walks: A globe far off It seemed, now seems a boundless continent Dark, waste, and wild, under the frown of Night Starless exposed, and ever-threatening storms Of Chaos blustering round, inclement sky; Save on that side which from the wall of Heaven, Though distant far, some small reflection gains Of glimmering air less vexed with tempest loud: Here walked the Fiend at large in spacious field. As when a vultur on Imaus bred, Whose snowy ridge the roving Tartar bounds, Dislodging from a region scarce of prey To gorge the flesh of lambs or yeanling kids, On hills where flocks are fed, flies toward the springs Of Ganges or Hydaspes, Indian streams; But in his way lights on the barren plains Of Sericana, where Chineses drive With sails and wind their cany waggons light: So, on this windy sea of land, the Fiend Walked up and down alone, bent on his prey; Alone, for other creature in this place, Living or lifeless, to be found was none; None yet, but store hereafter from the earth Up hither like aereal vapours flew Of all things transitory and vain, when sin With vanity had filled the works of men: Both all things vain, and all who in vain things Built their fond hopes of glory or lasting fame, Or happiness in this or the other life; All who have their reward on earth, the fruits Of painful superstition and blind zeal, Nought seeking but the praise of men, here find Fit retribution, empty as their deeds; All the unaccomplished works of Nature's hand, Abortive, monstrous, or unkindly mixed, Dissolved on earth, fleet hither, and in vain, Till final dissolution, wander here; Not in the neighbouring moon as some have dreamed; Those argent fields more likely habitants, Translated Saints, or middle Spirits hold Betwixt the angelical and human kind. Hither of ill-joined sons and daughters born First from the ancient world those giants came With many a vain exploit, though then renowned: The builders next of Babel on the plain Of Sennaar, and still with vain design, New Babels, had they wherewithal, would build: Others came single; he, who, to be deemed A God, leaped fondly into Aetna flames, Empedocles; and he, who, to enjoy Plato's Elysium, leaped into the sea, Cleombrotus; and many more too long, Embryos, and idiots, eremites, and friars White, black, and gray, with all their trumpery. Here pilgrims roam, that strayed so far to seek In Golgotha him dead, who lives in Heaven; And they, who to be sure of Paradise, Dying, put on the weeds of Dominick, Or in Franciscan think to pass disguised; They pass the planets seven, and pass the fixed, And that crystalling sphere whose balance weighs The trepidation talked, and that first moved; And now Saint Peter at Heaven's wicket seems To wait them with his keys, and now at foot Of Heaven's ascent they lift their feet, when lo A violent cross wind from either coast Blows them transverse, ten thousand leagues awry Into the devious air: Then might ye see Cowls, hoods, and habits, with their wearers, tost And fluttered into rags; then reliques, beads, Indulgences, dispenses, pardons, bulls, The sport of winds: All these, upwhirled aloft, Fly o'er the backside of the world far off Into a Limbo large and broad, since called The Paradise of Fools, to few unknown Long after; now unpeopled, and untrod. All this dark globe the Fiend found as he passed, And long he wandered, till at last a gleam Of dawning light turned thither-ward in haste His travelled steps: far distant he descries Ascending by degrees magnificent Up to the wall of Heaven a structure high; At top whereof, but far more rich, appeared The work as of a kingly palace-gate, With frontispiece of diamond and gold Embellished; thick with sparkling orient gems The portal shone, inimitable on earth By model, or by shading pencil, drawn. These stairs were such as whereon Jacob saw Angels ascending and descending, bands Of guardians bright, when he from Esau fled To Padan-Aram, in the field of Luz Dreaming by night under the open sky And waking cried, This is the gate of Heaven. Each stair mysteriously was meant, nor stood There always, but drawn up to Heaven sometimes Viewless; and underneath a bright sea flowed Of jasper, or of liquid pearl, whereon Who after came from earth, failing arrived Wafted by Angels, or flew o'er the lake Rapt in a chariot drawn by fiery steeds. The stairs were then let down, whether to dare The Fiend by easy ascent, or aggravate His sad exclusion from the doors of bliss: Direct against which opened from beneath, Just o'er the blissful seat of Paradise, A passage down to the Earth, a passage wide, Wider by far than that of after-times Over mount Sion, and, though that were large, Over the Promised Land to God so dear; By which, to visit oft those happy tribes, On high behests his angels to and fro Passed frequent, and his eye with choice regard From Paneas, the fount of Jordan's flood, To Beersaba, where the Holy Land Borders on Egypt and the Arabian shore; So wide the opening seemed, where bounds were set To darkness, such as bound the ocean wave. Satan from hence, now on the lower stair, That scaled by steps of gold to Heaven-gate, Looks down with wonder at the sudden view Of all this world at once. As when a scout, Through dark?;nd desart ways with?oeril gone All?might,?;t?kast by break of cheerful dawn Obtains the brow of some high-climbing hill, Which to his eye discovers unaware The goodly prospect of some foreign land First seen, or some renowned metropolis With glistering spires and pinnacles adorned, Which now the rising sun gilds with his beams: Such wonder seised, though after Heaven seen, The Spirit malign, but much more envy seised, At sight of all this world beheld so fair. Round he surveys (and well might, where he stood So high above the circling canopy Of night's extended shade,) from eastern point Of Libra to the fleecy star that bears Andromeda far off Atlantick seas Beyond the horizon; then from pole to pole He views in breadth, and without longer pause Down right into the world's first region throws His flight precipitant, and winds with ease Through the pure marble air his oblique way Amongst innumerable stars, that shone Stars distant, but nigh hand seemed other worlds; Or other worlds they seemed, or happy isles, Like those Hesperian gardens famed of old, Fortunate fields, and groves, and flowery vales, Thrice happy isles; but who dwelt happy there He staid not to inquire: Above them all The golden sun, in splendour likest Heaven, Allured his eye; thither his course he bends Through the calm firmament, (but up or down, By center, or eccentrick, hard to tell, Or longitude,) where the great luminary Aloof the vulgar constellations thick, That from his lordly eye keep distance due, Dispenses light from far; they, as they move Their starry dance in numbers that compute Days, months, and years, towards his all-cheering lamp Turn swift their various motions, or are turned By his magnetick beam, that gently warms The universe, and to each inward part With gentle penetration, though unseen, Shoots invisible virtue even to the deep; So wonderously was set his station bright. There lands the Fiend, a spot like which perhaps Astronomer in the sun's lucent orb Through his glazed optick tube yet never saw. The place he found beyond expression bright, Compared with aught on earth, metal or stone; Not all parts like, but all alike informed With radiant light, as glowing iron with fire; If metal, part seemed gold, part silver clear; If stone, carbuncle most or chrysolite, Ruby or topaz, to the twelve that shone In Aaron's breast-plate, and a stone besides Imagined rather oft than elsewhere seen, That stone, or like to that which here below Philosophers in vain so long have sought, In vain, though by their powerful art they bind Volatile Hermes, and call up unbound In various shapes old Proteus from the sea, Drained through a limbeck to his native form. What wonder then if fields and regions here Breathe forth Elixir pure, and rivers run Potable gold, when with one virtuous touch The arch-chemick sun, so far from us remote, Produces, with terrestrial humour mixed, Here in the dark so many precious things Of colour glorious, and effect so rare? Here matter new to gaze the Devil met Undazzled; far and wide his eye commands; For sight no obstacle found here, nor shade, But all sun-shine, as when his beams at noon Culminate from the equator, as they now Shot upward still direct, whence no way round Shadow from body opaque can fall; and the air, No where so clear, sharpened his visual ray To objects distant far, whereby he soon Saw within ken a glorious Angel stand, The same whom John saw also in the sun: His back was turned, but not his brightness hid; Of beaming sunny rays a golden tiar Circled his head, nor less his locks behind Illustrious on his shoulders fledge with wings Lay waving round; on some great charge employed He seemed, or fixed in cogitation deep. Glad was the Spirit impure, as now in hope To find who might direct his wandering flight To Paradise, the happy seat of Man, His journey's end and our beginning woe. But first he casts to change his proper shape, Which else might work him danger or delay: And now a stripling Cherub he appears, Not of the prime, yet such as in his face Youth smiled celestial, and to every limb Suitable grace diffused, so well he feigned: Under a coronet his flowing hair In curls on either cheek played; wings he wore Of many a coloured plume, sprinkled with gold; His habit fit for speed succinct, and held Before his decent steps a silver wand. He drew not nigh unheard; the Angel bright, Ere he drew nigh, his radiant visage turned, Admonished by his ear, and straight was known The Arch-Angel Uriel, one of the seven Who in God's presence, nearest to his throne, Stand ready at command, and are his eyes That run through all the Heavens, or down to the Earth Bear his swift errands over moist and dry, O'er sea and land: him Satan thus accosts. Uriel, for thou of those seven Spirits that stand In sight of God's high throne, gloriously bright, The first art wont his great authentick will Interpreter through highest Heaven to bring, Where all his sons thy embassy attend; And here art likeliest by supreme decree Like honour to obtain, and as his eye To visit oft this new creation round; Unspeakable desire to see, and know All these his wonderous works, but chiefly Man, His chief delight and favour, him for whom All these his works so wonderous he ordained, Hath brought me from the quires of Cherubim Alone thus wandering. Brightest Seraph, tell In which of all these shining orbs hath Man His fixed seat, or fixed seat hath none, But all these shining orbs his choice to dwell; That I may find him, and with secret gaze Or open admiration him behold, On whom the great Creator hath bestowed Worlds, and on whom hath all these graces poured; That both in him and all things, as is meet, The universal Maker we may praise; Who justly hath driven out his rebel foes To deepest Hell, and, to repair that loss, Created this new happy race of Men To serve him better: Wise are all his ways. So spake the false dissembler unperceived; For neither Man nor Angel can discern Hypocrisy, the only evil that walks Invisible, except to God alone, By his permissive will, through Heaven and Earth: And oft, though wisdom wake, suspicion sleeps At wisdom's gate, and to simplicity Resigns her charge, while goodness thinks no ill Where no ill seems: Which now for once beguiled Uriel, though regent of the sun, and held The sharpest-sighted Spirit of all in Heaven; Who to the fraudulent impostor foul, In his uprightness, answer thus returned. Fair Angel, thy desire, which tends to know The works of God, thereby to glorify The great Work-master, leads to no excess That reaches blame, but rather merits praise The more it seems excess, that led thee hither From thy empyreal mansion thus alone, To witness with thine eyes what some perhaps, Contented with report, hear only in Heaven: For wonderful indeed are all his works, Pleasant to know, and worthiest to be all Had in remembrance always with delight; But what created mind can comprehend Their number, or the wisdom infinite That brought them forth, but hid their causes deep? I saw when at his word the formless mass, This world's material mould, came to a heap: Confusion heard his voice, and wild uproar Stood ruled, stood vast infinitude confined; Till at his second bidding Darkness fled, Light shone, and order from disorder sprung: Swift to their several quarters hasted then The cumbrous elements, earth, flood, air, fire; And this ethereal quintessence of Heaven Flew upward, spirited with various forms, That rolled orbicular, and turned to stars Numberless, as thou seest, and how they move; Each had his place appointed, each his course; The rest in circuit walls this universe. Look downward on that globe, whose hither side With light from hence, though but reflected, shines; That place is Earth, the seat of Man; that light His day, which else, as the other hemisphere, Night would invade; but there the neighbouring moon So call that opposite fair star) her aid Timely interposes, and her monthly round Still ending, still renewing, through mid Heaven, With borrowed light her countenance triform Hence fills and empties to enlighten the Earth, And in her pale dominion checks the night. That spot, to which I point, is Paradise, Adam's abode; those lofty shades, his bower. Thy way thou canst not miss, me mine requires. Thus said, he turned; and Satan, bowing low, As to superiour Spirits is wont in Heaven, Where honour due and reverence none neglects, Took leave, and toward the coast of earth beneath, Down from the ecliptick, sped with hoped success, Throws his steep flight in many an aery wheel; Nor staid, till on Niphates' top he lights. Book IV O, for that warning voice, which he, who saw The Apocalypse, heard cry in Heaven aloud, Then when the Dragon, put to second rout, Came furious down to be revenged on men, Woe to the inhabitants on earth! that now, While time was, our first parents had been warned The coming of their secret foe, and 'scaped, Haply so 'scaped his mortal snare: For now Satan, now first inflamed with rage, came down, The tempter ere the accuser of mankind, To wreak on innocent frail Man his loss Of that first battle, and his flight to Hell: Yet, not rejoicing in his speed, though bold Far off and fearless, nor with cause to boast, Begins his dire attempt; which nigh the birth Now rolling boils in his tumultuous breast, And like a devilish engine back recoils Upon himself; horrour and doubt distract His troubled thoughts, and from the bottom stir The Hell within him; for within him Hell He brings, and round about him, nor from Hell One step, no more than from himself, can fly By change of place: Now conscience wakes despair, That slumbered; wakes the bitter memory Of what he was, what is, and what must be Worse; of worse deeds worse sufferings must ensue. Sometimes towards Eden, which now in his view Lay pleasant, his grieved look he fixes sad; Sometimes towards Heaven, and the full-blazing sun, Which now sat high in his meridian tower: Then, much revolving, thus in sighs began. O thou, that, with surpassing glory crowned, Lookest from thy sole dominion like the God Of this new world; at whose sight all the stars Hide their diminished heads; to thee I call, But with no friendly voice, and add thy name, Of Sun! to tell thee how I hate thy beams, That bring to my remembrance from what state I fell, how glorious once above thy sphere; Till pride and worse ambition threw me down Warring in Heaven against Heaven's matchless King: Ah, wherefore! he deserved no such return From me, whom he created what I was In that bright eminence, and with his good Upbraided none; nor was his service hard. What could be less than to afford him praise, The easiest recompence, and pay him thanks, How due! yet all his good proved ill in me, And wrought but malice; lifted up so high I sdeined subjection, and thought one step higher Would set me highest, and in a moment quit The debt immense of endless gratitude, So burdensome still paying, still to owe, Forgetful what from him I still received, And understood not that a grateful mind By owing owes not, but still pays, at once Indebted and discharged; what burden then O, had his powerful destiny ordained Me some inferiour Angel, I had stood Then happy; no unbounded hope had raised Ambition! Yet why not some other Power As great might have aspired, and me, though mean, Drawn to his part; but other Powers as great Fell not, but stand unshaken, from within Or from without, to all temptations armed. Hadst thou the same free will and power to stand? Thou hadst: whom hast thou then or what to accuse, But Heaven's free love dealt equally to all? Be then his love accursed, since love or hate, To me alike, it deals eternal woe. Nay, cursed be thou; since against his thy will Chose freely what it now so justly rues. Me miserable! which way shall I fly Infinite wrath, and infinite despair? Which way I fly is Hell; myself am Hell; And, in the lowest deep, a lower deep Still threatening to devour me opens wide, To which the Hell I suffer seems a Heaven. O, then, at last relent: Is there no place Left for repentance, none for pardon left? None left but by submission; and that word Disdain forbids me, and my dread of shame Among the Spirits beneath, whom I seduced With other promises and other vaunts Than to submit, boasting I could subdue The Omnipotent. Ay me! they little know How dearly I abide that boast so vain, Under what torments inwardly I groan, While they adore me on the throne of Hell. With diadem and scepter high advanced, The lower still I fall, only supreme In misery: Such joy ambition finds. But say I could repent, and could obtain, By act of grace, my former state; how soon Would highth recall high thoughts, how soon unsay What feigned submission swore? Ease would recant Vows made in pain, as violent and void. For never can true reconcilement grow, Where wounds of deadly hate have pierced so deep: Which would but lead me to a worse relapse And heavier fall: so should I purchase dear Short intermission bought with double smart. This knows my Punisher; therefore as far From granting he, as I from begging, peace; All hope excluded thus, behold, in stead Mankind created, and for him this world. So farewell, hope; and with hope farewell, fear; Farewell, remorse! all good to me is lost; Evil, be thou my good; by thee at least Divided empire with Heaven's King I hold, By thee, and more than half perhaps will reign; As Man ere long, and this new world, shall know. Thus while he spake, each passion dimmed his face Thrice changed with pale, ire, envy, and despair; Which marred his borrowed visage, and betrayed Him counterfeit, if any eye beheld. For heavenly minds from such distempers foul Are ever clear. Whereof he soon aware, Each perturbation smoothed with outward calm, Artificer of fraud; and was the first That practised falsehood under saintly show, Deep malice to conceal, couched with revenge: Yet not enough had practised to deceive Uriel once warned; whose eye pursued him down The way he went, and on the Assyrian mount Saw him disfigured, more than could befall Spirit of happy sort; his gestures fierce He marked and mad demeanour, then alone, As he supposed, all unobserved, unseen. So on he fares, and to the border comes Of Eden, where delicious Paradise, Now nearer, crowns with her enclosure green, As with a rural mound, the champaign head Of a steep wilderness, whose hairy sides Access denied; and overhead upgrew Insuperable height of loftiest shade, Cedar, and pine, and fir, and branching palm, A sylvan scene, and, as the ranks ascend, Shade above shade, a woody theatre Of stateliest view. Yet higher than their tops The verdurous wall of Paradise upsprung; 00081429 Which to our general sire gave prospect large Into his nether empire neighbouring round. And higher than that wall a circling row Of goodliest trees, loaden with fairest fruit, Blossoms and fruits at once of golden hue, Appeared, with gay enamelled colours mixed: On which the sun more glad impressed his beams Than in fair evening cloud, or humid bow, When God hath showered the earth; so lovely seemed That landskip: And of pure now purer air Meets his approach, and to the heart inspires Vernal delight and joy, able to drive All sadness but despair: Now gentle gales, Fanning their odoriferous wings, dispense Native perfumes, and whisper whence they stole Those balmy spoils. As when to them who fail Beyond the Cape of Hope, and now are past Mozambick, off at sea north-east winds blow Sabean odours from the spicy shore Of Araby the blest; with such delay Well pleased they slack their course, and many a league Cheered with the grateful smell old Ocean smiles: So entertained those odorous sweets the Fiend, Who came their bane; though with them better pleased Than Asmodeus with the fishy fume That drove him, though enamoured, from the spouse Of Tobit's son, and with a vengeance sent From Media post to Egypt, there fast bound. Now to the ascent of that steep savage hill Satan had journeyed on, pensive and slow; But further way found none, so thick entwined, As one continued brake, the undergrowth Of shrubs and tangling bushes had perplexed All path of man or beast that passed that way. One gate there only was, and that looked east On the other side: which when the arch-felon saw, Due entrance he disdained; and, in contempt, At one flight bound high over-leaped all bound Of hill or highest wall, and sheer within Lights on his feet. As when a prowling wolf, Whom hunger drives to seek new haunt for prey, Watching where shepherds pen their flocks at eve In hurdled cotes amid the field secure, Leaps o'er the fence with ease into the fold: Or as a thief, bent to unhoard the cash Of some rich burgher, whose substantial doors, Cross-barred and bolted fast, fear no assault, In at the window climbs, or o'er the tiles: So clomb this first grand thief into God's fold; So since into his church lewd hirelings climb. Thence up he flew, and on the tree of life, The middle tree and highest there that grew, Sat like a cormorant; yet not true life Thereby regained, but sat devising death To them who lived; nor on the virtue thought Of that life-giving plant, but only used For prospect, what well used had been the pledge Of immortality. So little knows Any, but God alone, to value right The good before him, but perverts best things To worst abuse, or to their meanest use. Beneath him with new wonder now he views, To all delight of human sense exposed, In narrow room, Nature's whole wealth, yea more, A Heaven on Earth: For blissful Paradise Of God the garden was, by him in the east Of Eden planted; Eden stretched her line From Auran eastward to the royal towers Of great Seleucia, built by Grecian kings, Of where the sons of Eden long before Dwelt in Telassar: In this pleasant soil His far more pleasant garden God ordained; Out of the fertile ground he caused to grow All trees of noblest kind for sight, smell, taste; And all amid them stood the tree of life, High eminent, blooming ambrosial fruit Of vegetable gold; and next to life, Our death, the tree of knowledge, grew fast by, Knowledge of good bought dear by knowing ill. Southward through Eden went a river large, Nor changed his course, but through the shaggy hill Passed underneath ingulfed; for God had thrown That mountain as his garden-mould high raised Upon the rapid current, which, through veins Of porous earth with kindly thirst up-drawn, Rose a fresh fountain, and with many a rill Watered the garden; thence united fell Down the steep glade, and met the nether flood, Which from his darksome passage now appears, And now, divided into four main streams, Runs diverse, wandering many a famous realm And country, whereof here needs no account; But rather to tell how, if Art could tell, How from that sapphire fount the crisped brooks, Rolling on orient pearl and sands of gold, With mazy errour under pendant shades Ran nectar, visiting each plant, and fed Flowers worthy of Paradise, which not nice Art In beds and curious knots, but Nature boon Poured forth profuse on hill, and dale, and plain, Both where the morning sun first warmly smote The open field, and where the unpierced shade Imbrowned the noontide bowers: Thus was this place A happy rural seat of various view; Groves whose rich trees wept odorous gums and balm, Others whose fruit, burnished with golden rind, Hung amiable, Hesperian fables true, If true, here only, and of delicious taste: Betwixt them lawns, or level downs, and flocks Grazing the tender herb, were interposed, Or palmy hillock; or the flowery lap Of some irriguous valley spread her store, Flowers of all hue, and without thorn the rose: Another side, umbrageous grots and caves Of cool recess, o'er which the mantling vine Lays forth her purple grape, and gently creeps Luxuriant; mean while murmuring waters fall Down the slope hills, dispersed, or in a lake, That to the fringed bank with myrtle crowned Her crystal mirrour holds, unite their streams. The birds their quire apply; airs, vernal airs, Breathing the smell of field and grove, attune The trembling leaves, while universal Pan, Knit with the Graces and the Hours in dance, Led on the eternal Spring. Not that fair field Of Enna, where Proserpine gathering flowers, Herself a fairer flower by gloomy Dis Was gathered, which cost Ceres all that pain To seek her through the world; nor that sweet grove Of Daphne by Orontes, and the inspired Castalian spring, might with this Paradise Of Eden strive; nor that Nyseian isle Girt with the river Triton, where old Cham, Whom Gentiles Ammon call and Libyan Jove, Hid Amalthea, and her florid son Young Bacchus, from his stepdame Rhea's eye; Nor where Abassin kings their issue guard, Mount Amara, though this by some supposed True Paradise under the Ethiop line By Nilus' head, enclosed with shining rock, A whole day's journey high, but wide remote From this Assyrian garden, where the Fiend Saw, undelighted, all delight, all kind Of living creatures, new to sight, and strange Two of far nobler shape, erect and tall, Godlike erect, with native honour clad In naked majesty seemed lords of all: And worthy seemed; for in their looks divine The image of their glorious Maker shone, Truth, wisdom, sanctitude severe and pure, (Severe, but in true filial freedom placed,) Whence true authority in men; though both Not equal, as their sex not equal seemed; For contemplation he and valour formed; For softness she and sweet attractive grace; He for God only, she for God in him: His fair large front and eye sublime declared Absolute rule; and hyacinthine locks Round from his parted forelock manly hung Clustering, but not beneath his shoulders broad: She, as a veil, down to the slender waist Her unadorned golden tresses wore Dishevelled, but in wanton ringlets waved As the vine curls her tendrils, which implied Subjection, but required with gentle sway, And by her yielded, by him best received, Yielded with coy submission, modest pride, And sweet, reluctant, amorous delay. Nor those mysterious parts were then concealed; Then was not guilty shame, dishonest shame Of nature's works, honour dishonourable, Sin-bred, how have ye troubled all mankind With shows instead, mere shows of seeming pure, And banished from man's life his happiest life, Simplicity and spotless innocence! So passed they naked on, nor shunned the sight Of God or Angel; for they thought no ill: So hand in hand they passed, the loveliest pair, That ever since in love's embraces met; Adam the goodliest man of men since born His sons, the fairest of her daughters Eve. Under a tuft of shade that on a green Stood whispering soft, by a fresh fountain side They sat them down; and, after no more toil Of their sweet gardening labour than sufficed To recommend cool Zephyr, and made ease More easy, wholesome thirst and appetite More grateful, to their supper-fruits they fell, Nectarine fruits which the compliant boughs Yielded them, side-long as they sat recline On the soft downy bank damasked with flowers: The savoury pulp they chew, and in the rind, Still as they thirsted, scoop the brimming stream; Nor gentle purpose, nor endearing smiles Wanted, nor youthful dalliance, as beseems Fair couple, linked in happy nuptial league, Alone as they. About them frisking played All beasts of the earth, since wild, and of all chase In wood or wilderness, forest or den; Sporting the lion ramped, and in his paw Dandled the kid; bears, tigers, ounces, pards, Gambolled before them; the unwieldy elephant, To make them mirth, used all his might, and wreathed His?kithetmroboscis; close the serpent sly, Insinuating, wove with Gordian twine His braided train, and of his fatal guile Gave proof unheeded; others on the grass Couched, and now filled with pasture gazing sat, Or bedward ruminating; for the sun, Declined, was hasting now with prone career To the ocean isles, and in the ascending scale Of Heaven the stars that usher evening rose: When Satan still in gaze, as first he stood, Scarce thus at length failed speech recovered sad. O Hell! what do mine eyes with grief behold! Into our room of bliss thus high advanced Creatures of other mould, earth-born perhaps, Not Spirits, yet to heavenly Spirits bright Little inferiour; whom my thoughts pursue With wonder, and could love, so lively shines In them divine resemblance, and such grace The hand that formed them on their shape hath poured. Ah! gentle pair, ye little think how nigh Your change approaches, when all these delights Will vanish, and deliver ye to woe; More woe, the more your taste is now of joy; Happy, but for so happy ill secured Long to continue, and this high seat your Heaven Ill fenced for Heaven to keep out such a foe As now is entered; yet no purposed foe To you, whom I could pity thus forlorn, Though I unpitied: League with you I seek, And mutual amity, so strait, so close, That I with you must dwell, or you with me Henceforth; my dwelling haply may not please, Like this fair Paradise, your sense; yet such Accept your Maker's work; he gave it me, Which I as freely give: Hell shall unfold, To entertain you two, her widest gates, And send forth all her kings; there will be room, Not like these narrow limits, to receive Your numerous offspring; if no better place, Thank him who puts me loth to this revenge On you who wrong me not for him who wronged. And should I at your harmless innocence Melt, as I do, yet publick reason just, Honour and empire with revenge enlarged, By conquering this new world, compels me now To do what else, though damned, I should abhor. So spake the Fiend, and with necessity, The tyrant's plea, excused his devilish deeds. Then from his lofty stand on that high tree Down he alights among the sportful herd Of those four-footed kinds, himself now one, Now other, as their shape served best his end Nearer to view his prey, and, unespied, To mark what of their state he more might learn, By word or action marked. About them round A lion now he stalks with fiery glare; Then as a tiger, who by chance hath spied In some purlieu two gentle fawns at play, Straight couches close, then, rising, changes oft His couchant watch, as one who chose his ground, Whence rushing, he might surest seize them both, Griped in each paw: when, Adam first of men To first of women Eve thus moving speech, Turned him, all ear to hear new utterance flow. Sole partner, and sole part, of all these joys, Dearer thyself than all; needs must the Power That made us, and for us this ample world, Be infinitely good, and of his good As liberal and free as infinite; That raised us from the dust, and placed us here In all this happiness, who at his hand Have nothing merited, nor can perform Aught whereof he hath need; he who requires From us no other service than to keep This one, this easy charge, of all the trees In Paradise that bear delicious fruit So various, not to taste that only tree Of knowledge, planted by the tree of life; So near grows death to life, whate'er death is, Some dreadful thing no doubt; for well thou knowest God hath pronounced it death to taste that tree, The only sign of our obedience left, Among so many signs of power and rule Conferred upon us, and dominion given Over all other creatures that possess Earth, air, and sea. Then let us not think hard One easy prohibition, who enjoy Free leave so large to all things else, and choice Unlimited of manifold delights: But let us ever praise him, and extol His bounty, following our delightful task, To prune these growing plants, and tend these flowers, Which were it toilsome, yet with thee were sweet. To whom thus Eve replied. O thou for whom And from whom I was formed, flesh of thy flesh, And without whom am to no end, my guide And head! what thou hast said is just and right. For we to him indeed all praises owe, And daily thanks; I chiefly, who enjoy So far the happier lot, enjoying thee Pre-eminent by so much odds, while thou Like consort to thyself canst no where find. That day I oft remember, when from sleep I first awaked, and found myself reposed Under a shade on flowers, much wondering where And what I was, whence thither brought, and how. Not distant far from thence a murmuring sound Of waters issued from a cave, and spread Into a liquid plain, then stood unmoved Pure as the expanse of Heaven; I thither went With unexperienced thought, and laid me down On the green bank, to look into the clear Smooth lake, that to me seemed another sky. As I bent down to look, just opposite A shape within the watery gleam appeared, Bending to look on me: I started back, It started back; but pleased I soon returned, Pleased it returned as soon with answering looks Of sympathy and love: There I had fixed Mine eyes till now, and pined with vain desire, Had not a voice thus warned me; 'What thou seest, 'What there thou seest, fair Creature, is thyself; 'With thee it came and goes: but follow me, 'And I will bring thee where no shadow stays 'Thy coming, and thy soft embraces, he 'Whose image thou art; him thou shalt enjoy 'Inseparably thine, to him shalt bear 'Multitudes like thyself, and thence be called 'Mother of human race.' What could I do, But follow straight, invisibly thus led? Till I espied thee, fair indeed and tall, Under a platane; yet methought less fair, Less winning soft, less amiably mild, Than that smooth watery image: Back I turned; Thou following cryedst aloud, 'Return, fair Eve; 'Whom flyest thou? whom thou flyest, of him thou art, 'His flesh, his bone; to give thee being I lent 'Out of my side to thee, nearest my heart, 'Substantial life, to have thee by my side 'Henceforth an individual solace dear; 'Part of my soul I seek thee, and thee claim 'My other half:' With that thy gentle hand Seised mine: I yielded;and from that time see How beauty is excelled by manly grace, And wisdom, which alone is truly fair. So spake our general mother, and with eyes Of conjugal attraction unreproved, And meek surrender, half-embracing leaned On our first father; half her swelling breast Naked met his, under the flowing gold Of her loose tresses hid: he in delight Both of her beauty, and submissive charms, Smiled with superiour love, as Jupiter On Juno smiles, when he impregns the clouds That shed Mayflowers; and pressed her matron lip With kisses pure: Aside the Devil turned For envy; yet with jealous leer malign Eyed them askance, and to himself thus plained. Sight hateful, sight tormenting! thus these two, Imparadised in one another's arms, The happier Eden, shall enjoy their fill Of bliss on bliss; while I to Hell am thrust, Where neither joy nor love, but fierce desire, Among our other torments not the least, Still unfulfilled with pain of longing pines. Yet let me not forget what I have gained From their own mouths: All is not theirs, it seems; One fatal tree there stands, of knowledge called, Forbidden them to taste: Knowledge forbidden Suspicious, reasonless. Why should their Lord Envy them that? Can it be sin to know? Can it be death? And do they only stand By ignorance? Is that their happy state, The proof of their obedience and their faith? O fair foundation laid whereon to build Their ruin! hence I will excite their minds With more desire to know, and to reject Envious commands, invented with design To keep them low, whom knowledge might exalt Equal with Gods: aspiring to be such, They taste and die: What likelier can ensue But first with narrow search I must walk round This garden, and no corner leave unspied; A chance but chance may lead where I may meet Some wandering Spirit of Heaven by fountain side, Or in thick shade retired, from him to draw What further would be learned. Live while ye may, Yet happy pair; enjoy, till I return, Short pleasures, for long woes are to succeed! So saying, his proud step he scornful turned, But with sly circumspection, and began Through wood, through waste, o'er hill, o'er dale, his roam Mean while in utmost longitude, where Heaven With earth and ocean meets, the setting sun Slowly descended, and with right aspect Against the eastern gate of Paradise Levelled his evening rays: It was a rock Of alabaster, piled up to the clouds, Conspicuous far, winding with one ascent Accessible from earth, one entrance high; The rest was craggy cliff, that overhung Still as it rose, impossible to climb. Betwixt these rocky pillars Gabriel sat, Chief of the angelick guards, awaiting night; About him exercised heroick games The unarmed youth of Heaven, but nigh at hand Celestial armoury, shields, helms, and spears, Hung high with diamond flaming, and with gold. Thither came Uriel, gliding through the even On a sun-beam, swift as a shooting star In autumn thwarts the night, when vapours fired Impress the air, and shows the mariner From what point of his compass to beware Impetuous winds: He thus began in haste. Gabriel, to thee thy course by lot hath given Charge and strict watch, that to this happy place No evil thing approach or enter in. This day at highth of noon came to my sphere A Spirit, zealous, as he seemed, to know More of the Almighty's works, and chiefly Man, God's latest image: I described his way Bent all on speed, and marked his aery gait; But in the mount that lies from Eden north, Where he first lighted, soon discerned his looks Alien from Heaven, with passions foul obscured: Mine eye pursued him still, but under shade Lost sight of him: One of the banished crew, I fear, hath ventured from the deep, to raise New troubles; him thy care must be to find. To whom the winged warriour thus returned. Uriel, no wonder if thy perfect sight, Amid the sun's bright circle where thou sitst, See far and wide: In at this gate none pass The vigilance here placed, but such as come Well known from Heaven; and since meridian hour No creature thence: If Spirit of other sort, So minded, have o'er-leaped these earthly bounds On purpose, hard thou knowest it to exclude Spiritual substance with corporeal bar. But if within the circuit of these walks, In whatsoever shape he lurk, of whom Thou tellest, by morrow dawning I shall know. So promised he; and Uriel to his charge Returned on that bright beam, whose point now raised Bore him slope downward to the sun now fallen Beneath the Azores; whether the prime orb, Incredible how swift, had thither rolled Diurnal, or this less volubil earth, By shorter flight to the east, had left him there Arraying with reflected purple and gold The clouds that on his western throne attend. Now came still Evening on, and Twilight gray Had in her sober livery all things clad; Silence accompanied; for beast and bird, They to their grassy couch, these to their nests Were slunk, all but the wakeful nightingale; She all night long her amorous descant sung; Silence was pleased: Now glowed the firmament With living sapphires: Hesperus, that led The starry host, rode brightest, till the moon, Rising in clouded majesty, at length Apparent queen unveiled her peerless light, And o'er the dark her silver mantle threw. When Adam thus to Eve. Fair Consort, the hour Of night, and all things now retired to rest, Mind us of like repose; since God hath set Labour and rest, as day and night, to men Successive; and the timely dew of sleep, Now falling with soft slumbrous weight, inclines Our eye-lids: Other creatures all day long Rove idle, unemployed, and less need rest; Man hath his daily work of body or mind Appointed, which declares his dignity, And the regard of Heaven on all his ways; While other animals unactive range, And of their doings God takes no account. To-morrow, ere fresh morning streak the east With first approach of light, we must be risen, And at our pleasant labour, to reform Yon flowery arbours, yonder alleys green, Our walk at noon, with branches overgrown, That mock our scant manuring, and require More hands than ours to lop their wanton growth: Those blossoms also, and those dropping gums, That lie bestrown, unsightly and unsmooth, Ask riddance, if we mean to tread with ease; Mean while, as Nature wills, night bids us rest. To whom thus Eve, with perfect beauty adorned My Author and Disposer, what thou bidst Unargued I obey: So God ordains; God is thy law, thou mine: To know no more Is woman's happiest knowledge, and her praise. With thee conversing I forget all time; All seasons, and their change, all please alike. Sweet is the breath of Morn, her rising sweet, With charm of earliest birds: pleasant the sun, When first on this delightful land he spreads His orient beams, on herb, tree, fruit, and flower, Glistering with dew; fragrant the fertile earth After soft showers; and sweet the coming on Of grateful Evening mild; then silent Night, With this her solemn bird, and this fair moon, And these the gems of Heaven, her starry train: But neither breath of Morn, when she ascends With charm of earliest birds; nor rising sun On this delightful land; nor herb, fruit, flower, Glistering with dew; nor fragrance after showers; Nor grateful Evening mild; nor silent Night, With this her solemn bird, nor walk by moon, Or glittering star-light, without thee is sweet. But wherefore all night long shine these? for whom This glorious sight, when sleep hath shut all eyes? To whom our general ancestor replied. Daughter of God and Man, accomplished Eve, These have their course to finish round the earth, By morrow evening, and from land to land In order, though to nations yet unborn, Ministring light prepared, they set and rise; Lest total Darkness should by night regain Her old possession, and extinguish life In Nature and all things; which these soft fires Not only enlighten, but with kindly heat Of various influence foment and warm, Temper or nourish, or in part shed down Their stellar virtue on all kinds that grow On earth, made hereby apter to receive Perfection from the sun's more potent ray. These then, though unbeheld in deep of night, Shine not in vain; nor think, though men were none, That Heaven would want spectators, God want praise: Millions of spiritual creatures walk the earth Unseen, both when we wake, and when we sleep: All these with ceaseless praise his works behold Both day and night: How often from the steep Of echoing hill or thicket have we heard Celestial voices to the midnight air, Sole, or responsive each to others note, Singing their great Creator? oft in bands While they keep watch, or nightly rounding walk, With heavenly touch of instrumental sounds In full harmonick number joined, their songs Divide the night, and lift our thoughts to Heaven. Thus talking, hand in hand alone they passed On to their blissful bower: it was a place Chosen by the sovran Planter, when he framed All things to Man's delightful use; the roof Of thickest covert was inwoven shade Laurel and myrtle, and what higher grew Of firm and fragrant leaf; on either side Acanthus, and each odorous bushy shrub, Fenced up the verdant wall; each beauteous flower, Iris all hues, roses, and jessamin, Reared high their flourished heads between, and wrought Mosaick; underfoot the violet, Crocus, and hyacinth, with rich inlay Broidered the ground, more coloured than with stone Of costliest emblem: Other creature here, Bird, beast, insect, or worm, durst enter none, Such was their awe of Man. In shadier bower More sacred and sequestered, though but feigned, Pan or Sylvanus never slept, nor Nymph Nor Faunus haunted. Here, in close recess, With flowers, garlands, and sweet-smelling herbs, Espoused Eve decked first her nuptial bed; And heavenly quires the hymenaean sung, What day the genial Angel to our sire Brought her in naked beauty more adorned, More lovely, than Pandora, whom the Gods Endowed with all their gifts, and O! too like In sad event, when to the unwiser son Of Japhet brought by Hermes, she ensnared Mankind with her fair looks, to be avenged On him who had stole Jove's authentick fire. Thus, at their shady lodge arrived, both stood, Both turned, and under open sky adored The God that made both sky, air, earth, and heaven, Which they beheld, the moon's resplendent globe, And starry pole: Thou also madest the night, Maker Omnipotent, and thou the day, Which we, in our appointed work employed, Have finished, happy in our mutual help And mutual love, the crown of all our bliss Ordained by thee; and this delicious place For us too large, where thy abundance wants Partakers, and uncropt falls to the ground. But thou hast promised from us two a race To fill the earth, who shall with us extol Thy goodness infinite, both when we wake, And when we seek, as now, thy gift of sleep. This said unanimous, and other rites Observing none, but adoration pure Which God likes best, into their inmost bower Handed they went; and, eased the putting off These troublesome disguises which we wear, Straight side by side were laid; nor turned, I ween, Adam from his fair spouse, nor Eve the rites Mysterious of connubial love refused: Whatever hypocrites austerely talk Of purity, and place, and innocence, Defaming as impure what God declares Pure, and commands to some, leaves free to all. Our Maker bids encrease; who bids abstain But our Destroyer, foe to God and Man? Hail, wedded Love, mysterious law, true source Of human offspring, sole propriety In Paradise of all things common else! By thee adulterous Lust was driven from men Among the bestial herds to range; by thee Founded in reason, loyal, just, and pure, Relations dear, and all the charities Of father, son, and brother, first were known. Far be it, that I should write thee sin or blame, Or think thee unbefitting holiest place, Perpetual fountain of domestick sweets, Whose bed is undefiled and chaste pronounced, Present, or past, as saints and patriarchs used. Here Love his golden shafts employs, here lights His constant lamp, and waves his purple wings, Reigns here and revels; not in the bought smile Of harlots, loveless, joyless, unendeared, Casual fruition; nor in court-amours, Mixed dance, or wanton mask, or midnight ball, Or serenate, which the starved lover sings To his proud fair, best quitted with disdain. These, lulled by nightingales, embracing slept, And on their naked limbs the flowery roof Showered roses, which the morn repaired. Sleep on, Blest pair; and O!yet happiest, if ye seek No happier state, and know to know no more. Now had night measured with her shadowy cone Half way up hill this vast sublunar vault, And from their ivory port the Cherubim, Forth issuing at the accustomed hour, stood armed To their night watches in warlike parade; When Gabriel to his next in power thus spake. Uzziel, half these draw off, and coast the south With strictest watch; these other wheel the north; Our circuit meets full west. As flame they part, Half wheeling to the shield, half to the spear. From these, two strong and subtle Spirits he called That near him stood, and gave them thus in charge. Ithuriel and Zephon, with winged speed Search through this garden, leave unsearched no nook; But chiefly where those two fair creatures lodge, Now laid perhaps asleep, secure of harm. This evening from the sun's decline arrived, Who tells of some infernal Spirit seen Hitherward bent (who could have thought?) escaped The bars of Hell, on errand bad no doubt: Such, where ye find, seise fast, and hither bring. So saying, on he led his radiant files, Dazzling the moon; these to the bower direct In search of whom they sought: Him there they found Squat like a toad, close at the ear of Eve, Assaying by his devilish art to reach The organs of her fancy, and with them forge Illusions, as he list, phantasms and dreams; Or if, inspiring venom, he might taint The animal spirits, that from pure blood arise Like gentle breaths from rivers pure, thence raise At least distempered, discontented thoughts, Vain hopes, vain aims, inordinate desires, Blown up with high conceits ingendering pride. Him thus intent Ithuriel with his spear Touched lightly; for no falshood can endure Touch of celestial temper, but returns Of force to its own likeness: Up he starts Discovered and surprised. As when a spark Lights on a heap of nitrous powder, laid Fit for the tun some magazine to store Against a rumoured war, the smutty grain, With sudden blaze diffused, inflames the air; So started up in his own shape the Fiend. Back stept those two fair Angels, half amazed So sudden to behold the grisly king; Yet thus, unmoved with fear, accost him soon. Which of those rebel Spirits adjudged to Hell Comest thou, escaped thy prison? and, transformed, Why sat'st thou like an enemy in wait, Here watching at the head of these that sleep? Know ye not then said Satan, filled with scorn, Know ye not me? ye knew me once no mate For you, there sitting where ye durst not soar: Not to know me argues yourselves unknown, The lowest of your throng; or, if ye know, Why ask ye, and superfluous begin Your message, like to end as much in vain? To whom thus Zephon, answering scorn with scorn. Think not, revolted Spirit, thy shape the same, Or undiminished brightness to be known, As when thou stoodest in Heaven upright and pure; That glory then, when thou no more wast good, Departed from thee; and thou resemblest now Thy sin and place of doom obscure and foul. But come, for thou, be sure, shalt give account To him who sent us, whose charge is to keep This place inviolable, and these from harm. So spake the Cherub; and his grave rebuke, Severe in youthful beauty, added grace Invincible: Abashed the Devil stood, And felt how awful goodness is, and saw Virtue in her shape how lovely; saw, and pined His loss; but chiefly to find here observed His lustre visibly impaired; yet seemed Undaunted. If I must contend, said he, Best with the best, the sender, not the sent, Or all at once; more glory will be won, Or less be lost. Thy fear, said Zephon bold, Will save us trial what the least can do Single against thee wicked, and thence weak. The Fiend replied not, overcome with rage; But, like a proud steed reined, went haughty on, Champing his iron curb: To strive or fly He held it vain; awe from above had quelled His heart, not else dismayed. Now drew they nigh The western point, where those half-rounding guards Just met, and closing stood in squadron joined, A waiting next command. To whom their Chief, Gabriel, from the front thus called aloud. O friends! I hear the tread of nimble feet Hasting this way, and now by glimpse discern Ithuriel and Zephon through the shade; And with them comes a third of regal port, But faded splendour wan; who by his gait And fierce demeanour seems the Prince of Hell, Not likely to part hence without contest; Stand firm, for in his look defiance lours. He scarce had ended, when those two approached, And brief related whom they brought, where found, How busied, in what form and posture couched. To whom with stern regard thus Gabriel spake. Why hast thou, Satan, broke the bounds prescribed To thy transgressions, and disturbed the charge Of others, who approve not to transgress By thy example, but have power and right To question thy bold entrance on this place; Employed, it seems, to violate sleep, and those Whose dwelling God hath planted here in bliss! To whom thus Satan with contemptuous brow. Gabriel? thou hadst in Heaven the esteem of wise, And such I held thee; but this question asked Puts me in doubt. Lives there who loves his pain! Who would not, finding way, break loose from Hell, Though thither doomed! Thou wouldst thyself, no doubt And boldly venture to whatever place Farthest from pain, where thou mightst hope to change Torment with ease, and soonest recompense Dole with delight, which in this place I sought; To thee no reason, who knowest only good, But evil hast not tried: and wilt object His will who bounds us! Let him surer bar His iron gates, if he intends our stay In that dark durance: Thus much what was asked. The rest is true, they found me where they say; But that implies not violence or harm. Thus he in scorn. The warlike Angel moved, Disdainfully half smiling, thus replied. O loss of one in Heaven to judge of wise Since Satan fell, whom folly overthrew, And now returns him from his prison 'scaped, Gravely in doubt whether to hold them wise Or not, who ask what boldness brought him hither Unlicensed from his bounds in Hell prescribed; So wise he judges it to fly from pain However, and to 'scape his punishment! So judge thou still, presumptuous! till the wrath, Which thou incurrest by flying, meet thy flight Sevenfold, and scourge that wisdom back to Hell, Which taught thee yet no better, that no pain Can equal anger infinite provoked. But wherefore thou alone? wherefore with thee Came not all hell broke loose? or thou than they Less hardy to endure? Courageous Chief! The first in flight from pain! hadst thou alleged To thy deserted host this cause of flight, Thou surely hadst not come sole fugitive. To which the Fiend thus answered, frowning stern. Not that I less endure, or shrink from pain, Insulting Angel! well thou knowest I stood Thy fiercest, when in battle to thy aid The blasting vollied thunder made all speed, And seconded thy else not dreaded spear. But still thy words at random, as before, Argue thy inexperience what behoves From hard assays and ill successes past A faithful leader, not to hazard all Through ways of danger by himself untried: I, therefore, I alone first undertook To wing the desolate abyss, and spy This new created world, whereof in Hell Fame is not silent, here in hope to find Better abode, and my afflicted Powers To settle here on earth, or in mid air; Though for possession put to try once more What thou and thy gay legions dare against; Whose easier business were to serve their Lord High up in Heaven, with songs to hymn his throne, And practised distances to cringe, not fight, To whom the warriour Angel soon replied. To say and straight unsay, pretending first Wise to fly pain, professing next the spy, Argues no leader but a liear traced, Satan, and couldst thou faithful add? O name, O sacred name of faithfulness profaned! Faithful to whom? to thy rebellious crew? Army of Fiends, fit body to fit head. Was this your discipline and faith engaged, Your military obedience, to dissolve Allegiance to the acknowledged Power supreme? And thou, sly hypocrite, who now wouldst seem Patron of liberty, who more than thou Once fawned, and cringed, and servily adored Heaven's awful Monarch? wherefore, but in hope To dispossess him, and thyself to reign? But mark what I arreed thee now, Avant; Fly neither whence thou fledst! If from this hour Within these hallowed limits thou appear, Back to the infernal pit I drag thee chained, And seal thee so, as henceforth not to scorn The facile gates of Hell too slightly barred. So threatened he; but Satan to no threats Gave heed, but waxing more in rage replied. Then when I am thy captive talk of chains, Proud limitary Cherub! but ere then Far heavier load thyself expect to feel From my prevailing arm, though Heaven's King Ride on thy wings, and thou with thy compeers, Us'd to the yoke, drawest his triumphant wheels In progress through the road of Heaven star-paved. While thus he spake, the angelick squadron bright Turned fiery red, sharpening in mooned horns Their phalanx, and began to hem him round With ported spears, as thick as when a field Of Ceres ripe for harvest waving bends Her bearded grove of ears, which way the wind Sways them; the careful plowman doubting stands, Left on the threshing floor his hopeless sheaves Prove chaff. On the other side, Satan, alarmed, Collecting all his might, dilated stood, Like Teneriff or Atlas, unremoved: His stature reached the sky, and on his crest Sat Horrour plumed; nor wanted in his grasp What seemed both spear and shield: Now dreadful deeds Might have ensued, nor only Paradise In this commotion, but the starry cope Of Heaven perhaps, or all the elements At least had gone to wrack, disturbed and torn With violence of this conflict, had not soon The Eternal, to prevent such horrid fray, Hung forth in Heaven his golden scales, yet seen Betwixt Astrea and the Scorpion sign, Wherein all things created first he weighed, The pendulous round earth with balanced air In counterpoise, now ponders all events, Battles and realms: In these he put two weights, The sequel each of parting and of fight: The latter quick up flew, and kicked the beam, Which Gabriel spying, thus bespake the Fiend. Satan, I know thy strength, and thou knowest mine; Neither our own, but given: What folly then To boast what arms can do? since thine no more Than Heaven permits, nor mine, though doubled now To trample thee as mire: For proof look up, And read thy lot in yon celestial sign; Where thou art weighed, and shown how light, how weak, If thou resist. The Fiend looked up, and knew His mounted scale aloft: Nor more;but fled Murmuring, and with him fled the shades of night. Book V Now Morn, her rosy steps in the eastern clime Advancing, sowed the earth with orient pearl, When Adam waked, so customed; for his sleep Was aery-light, from pure digestion bred, And temperate vapours bland, which the only sound Of leaves and fuming rills, Aurora's fan, Lightly dispersed, and the shrill matin song Of birds on every bough; so much the more His wonder was to find unwakened Eve With tresses discomposed, and glowing cheek, As through unquiet rest: He, on his side Leaning half raised, with looks of cordial love Hung over her enamoured, and beheld Beauty, which, whether waking or asleep, Shot forth peculiar graces; then with voice Mild, as when Zephyrus on Flora breathes, Her hand soft touching, whispered thus. Awake, My fairest, my espoused, my latest found, Heaven's last best gift, my ever new delight! Awake: The morning shines, and the fresh field Calls us; we lose the prime, to mark how spring Our tender plants, how blows the citron grove, What drops the myrrh, and what the balmy reed, How nature paints her colours, how the bee Sits on the bloom extracting liquid sweet. Such whispering waked her, but with startled eye On Adam, whom embracing, thus she spake. O sole in whom my thoughts find all repose, My glory, my perfection! glad I see Thy face, and morn returned; for I this night (Such night till this I never passed) have dreamed, If dreamed, not, as I oft am wont, of thee, Works of day past, or morrow's next design, But of offence and trouble, which my mind Knew never till this irksome night: Methought, Close at mine ear one called me forth to walk With gentle voice; I thought it thine: It said, 'Why sleepest thou, Eve? now is the pleasant time, 'The cool, the silent, save where silence yields 'To the night-warbling bird, that now awake 'Tunes sweetest his love-laboured song; now reigns 'Full-orbed the moon, and with more pleasing light 'Shadowy sets off the face of things; in vain, 'If none regard; Heaven wakes with all his eyes, 'Whom to behold but thee, Nature's desire? 'In whose sight all things joy, with ravishment 'Attracted by thy beauty still to gaze.' I rose as at thy call, but found thee not; To find thee I directed then my walk; And on, methought, alone I passed through ways That brought me on a sudden to the tree Of interdicted knowledge: fair it seemed, Much fairer to my fancy than by day: And, as I wondering looked, beside it stood One shaped and winged like one of those from Heaven By us oft seen; his dewy locks distilled Ambrosia; on that tree he also gazed; And 'O fair plant,' said he, 'with fruit surcharged, 'Deigns none to ease thy load, and taste thy sweet, 'Nor God, nor Man? Is knowledge so despised? 'Or envy, or what reserve forbids to taste? 'Forbid who will, none shall from me withhold 'Longer thy offered good; why else set here? This said, he paused not, but with venturous arm He plucked, he tasted; me damp horrour chilled At such bold words vouched with a deed so bold: But he thus, overjoyed; 'O fruit divine, 'Sweet of thyself, but much more sweet thus cropt, 'Forbidden here, it seems, as only fit 'For Gods, yet able to make Gods of Men: 'And why not Gods of Men; since good, the more 'Communicated, more abundant grows, 'The author not impaired, but honoured more? 'Here, happy creature, fair angelick Eve! 'Partake thou also; happy though thou art, 'Happier thou mayest be, worthier canst not be: 'Taste this, and be henceforth among the Gods 'Thyself a Goddess, not to earth confined, 'But sometimes in the air, as we, sometimes 'Ascend to Heaven, by merit thine, and see 'What life the Gods live there, and such live thou!' So saying, he drew nigh, and to me held, Even to my mouth of that same fruit held part Which he had plucked; the pleasant savoury smell So quickened appetite, that I, methought, Could not but taste. Forthwith up to the clouds With him I flew, and underneath beheld The earth outstretched immense, a prospect wide And various: Wondering at my flight and change To this high exaltation; suddenly My guide was gone, and I, methought, sunk down, And fell asleep; but O, how glad I waked To find this but a dream! Thus Eve her night Related, and thus Adam answered sad. Best image of myself, and dearer half, The trouble of thy thoughts this night in sleep Affects me equally; nor can I like This uncouth dream, of evil sprung, I fear; Yet evil whence? in thee can harbour none, Created pure. But know that in the soul Are many lesser faculties, that serve Reason as chief; among these Fancy next Her office holds; of all external things Which the five watchful senses represent, She forms imaginations, aery shapes, Which Reason, joining or disjoining, frames All what we affirm or what deny, and call Our knowledge or opinion; then retires Into her private cell, when nature rests. Oft in her absence mimick Fancy wakes To imitate her; but, misjoining shapes, Wild work produces oft, and most in dreams; Ill matching words and deeds long past or late. Some such resemblances, methinks, I find Of our last evening's talk, in this thy dream, But with addition strange; yet be not sad. Evil into the mind of God or Man May come and go, so unreproved, and leave No spot or blame behind: Which gives me hope That what in sleep thou didst abhor to dream, Waking thou never will consent to do. Be not disheartened then, nor cloud those looks, That wont to be more cheerful and serene, Than when fair morning first smiles on the world; And let us to our fresh employments rise Among the groves, the fountains, and the flowers That open now their choisest bosomed smells, Reserved from night, and kept for thee in store. So cheered he his fair spouse, and she was cheered; But silently a gentle tear let fall From either eye, and wiped them with her hair; Two other precious drops that ready stood, Each in their crystal sluice, he ere they fell Kissed, as the gracious signs of sweet remorse And pious awe, that feared to have offended. So all was cleared, and to the field they haste. But first, from under shady arborous roof Soon as they forth were come to open sight Of day-spring, and the sun, who, scarce up-risen, With wheels yet hovering o'er the ocean-brim, Shot parallel to the earth his dewy ray, Discovering in wide landskip all the east Of Paradise and Eden's happy plains, Lowly they bowed adoring, and began Their orisons, each morning duly paid In various style; for neither various style Nor holy rapture wanted they to praise Their Maker, in fit strains pronounced, or sung Unmeditated; such prompt eloquence Flowed from their lips, in prose or numerous verse, More tuneable than needed lute or harp To add more sweetness; and they thus began. These are thy glorious works, Parent of good, Almighty! Thine this universal frame, Thus wonderous fair; Thyself how wonderous then! Unspeakable, who sitst above these heavens To us invisible, or dimly seen In these thy lowest works; yet these declare Thy goodness beyond thought, and power divine. Speak, ye who best can tell, ye sons of light, Angels; for ye behold him, and with songs And choral symphonies, day without night, Circle his throne rejoicing; ye in Heaven On Earth join all ye Creatures to extol Him first, him last, him midst, and without end. Fairest of stars, last in the train of night, If better thou belong not to the dawn, Sure pledge of day, that crownest the smiling morn With thy bright circlet, praise him in thy sphere, While day arises, that sweet hour of prime. Thou Sun, of this great world both eye and soul, Acknowledge him thy greater; sound his praise In thy eternal course, both when thou climbest, And when high noon hast gained, and when thou fallest. Moon, that now meetest the orient sun, now flyest, With the fixed Stars, fixed in their orb that flies; And ye five other wandering Fires, that move In mystick dance not without song, resound His praise, who out of darkness called up light. Air, and ye Elements, the eldest birth Of Nature's womb, that in quaternion run Perpetual circle, multiform; and mix And nourish all things; let your ceaseless change Vary to our great Maker still new praise. Ye Mists and Exhalations, that now rise From hill or steaming lake, dusky or gray, Till the sun paint your fleecy skirts with gold, In honour to the world's great Author rise; Whether to deck with clouds the uncoloured sky, Or wet the thirsty earth with falling showers, Rising or falling still advance his praise. His praise, ye Winds, that from four quarters blow, Breathe soft or loud; and, wave your tops, ye Pines, With every plant, in sign of worship wave. Fountains, and ye that warble, as ye flow, Melodious murmurs, warbling tune his praise. Join voices, all ye living Souls: Ye Birds, That singing up to Heaven-gate ascend, Bear on your wings and in your notes his praise. Ye that in waters glide, and ye that walk The earth, and stately tread, or lowly creep; Witness if I be silent, morn or even, To hill, or valley, fountain, or fresh shade, Made vocal by my song, and taught his praise. Hail, universal Lord, be bounteous still To give us only good; and if the night Have gathered aught of evil, or concealed, Disperse it, as now light dispels the dark! So prayed they innocent, and to their thoughts Firm peace recovered soon, and wonted calm. On to their morning's rural work they haste, Among sweet dews and flowers; where any row Of fruit-trees over-woody reached too far Their pampered boughs, and needed hands to check Fruitless embraces: or they led the vine To wed her elm; she, spoused, about him twines Her marriageable arms, and with him brings Her dower, the adopted clusters, to adorn His barren leaves. Them thus employed beheld With pity Heaven's high King, and to him called Raphael, the sociable Spirit, that deigned To travel with Tobias, and secured His marriage with the seventimes-wedded maid. Raphael, said he, thou hearest what stir on Earth Satan, from Hell 'scaped through the darksome gulf, Hath raised in Paradise; and how disturbed This night the human pair; how he designs In them at once to ruin all mankind. Go therefore, half this day as friend with friend Converse with Adam, in what bower or shade Thou findest him from the heat of noon retired, To respite his day-labour with repast, Or with repose; and such discourse bring on, As may advise him of his happy state, Happiness in his power left free to will, Left to his own free will, his will though free, Yet mutable; whence warn him to beware He swerve not, too secure: Tell him withal His danger, and from whom; what enemy, Late fallen himself from Heaven, is plotting now The fall of others from like state of bliss; By violence? no, for that shall be withstood; But by deceit and lies: This let him know, Lest, wilfully transgressing, he pretend Surprisal, unadmonished, unforewarned. So spake the Eternal Father, and fulfilled All justice: Nor delayed the winged Saint After his charge received; but from among Thousand celestial Ardours, where he stood Veiled with his gorgeous wings, up springing light, Flew through the midst of Heaven; the angelick quires, On each hand parting, to his speed gave way Through all the empyreal road; till, at the gate Of Heaven arrived, the gate self-opened wide On golden hinges turning, as by work Divine the sovran Architect had framed. From hence no cloud, or, to obstruct his sight, Star interposed, however small he sees, Not unconformed to other shining globes, Earth, and the garden of God, with cedars crowned Above all hills. As when by night the glass Of Galileo, less assured, observes Imagined lands and regions in the moon: Or pilot, from amidst the Cyclades Delos or Samos first appearing, kens A cloudy spot. Down thither prone in flight He speeds, and through the vast ethereal sky Sails between worlds and worlds, with steady wing Now on the polar winds, then with quick fan Winnows the buxom air; till, within soar Of towering eagles, to all the fowls he seems A phoenix, gazed by all as that sole bird, When, to enshrine his reliques in the Sun's Bright temple, to Egyptian Thebes he flies. At once on the eastern cliff of Paradise He lights, and to his proper shape returns A Seraph winged: Six wings he wore, to shade His lineaments divine; the pair that clad Each shoulder broad, came mantling o'er his breast With regal ornament; the middle pair Girt like a starry zone his waist, and round Skirted his loins and thighs with downy gold And colours dipt in Heaven; the third his feet Shadowed from either heel with feathered mail, Sky-tinctured grain. Like Maia's son he stood, And shook his plumes, that heavenly fragrance filled The circuit wide. Straight knew him all the bands Of Angels under watch; and to his state, And to his message high, in honour rise; For on some message high they guessed him bound. Their glittering tents he passed, and now is come Into the blissful field, through groves of myrrh, And flowering odours, cassia, nard, and balm; A wilderness of sweets; for Nature here Wantoned as in her prime, and played at will Her virgin fancies pouring forth more sweet, Wild above rule or art, enormous bliss. Him through the spicy forest onward come Adam discerned, as in the door he sat Of his cool bower, while now the mounted sun Shot down direct his fervid rays to warm Earth's inmost womb, more warmth than Adam needs: And Eve within, due at her hour prepared For dinner savoury fruits, of taste to please True appetite, and not disrelish thirst Of nectarous draughts between, from milky stream, Berry or grape: To whom thus Adam called. Haste hither, Eve, and worth thy sight behold Eastward among those trees, what glorious shape Comes this way moving; seems another morn Risen on mid-noon; some great behest from Heaven To us perhaps he brings, and will vouchsafe This day to be our guest. But go with speed, And, what thy stores contain, bring forth, and pour Abundance, fit to honour and receive Our heavenly stranger: Well we may afford Our givers their own gifts, and large bestow From large bestowed, where Nature multiplies Her fertile growth, and by disburthening grows More fruitful, which instructs us not to spare. To whom thus Eve. Adam, earth's hallowed mould, Of God inspired! small store will serve, where store, All seasons, ripe for use hangs on the stalk; Save what by frugal storing firmness gains To nourish, and superfluous moist consumes: But I will haste, and from each bough and brake, Each plant and juciest gourd, will pluck such choice To entertain our Angel-guest, as he Beholding shall confess, that here on Earth God hath dispensed his bounties as in Heaven. So saying, with dispatchful looks in haste She turns, on hospitable thoughts intent What choice to choose for delicacy best, What order, so contrived as not to mix Tastes, not well joined, inelegant, but bring Taste after taste upheld with kindliest change; Bestirs her then, and from each tender stalk Whatever Earth, all-bearing mother, yields In India East or West, or middle shore In Pontus or the Punick coast, or where Alcinous reigned, fruit of all kinds, in coat Rough, or smooth rind, or bearded husk, or shell, She gathers, tribute large, and on the board Heaps with unsparing hand; for drink the grape She crushes, inoffensive must, and meaths From many a berry, and from sweet kernels pressed She tempers dulcet creams; nor these to hold Wants her fit vessels pure; then strows the ground With rose and odours from the shrub unfumed. Mean while our primitive great sire, to meet His God-like guest, walks forth, without more train Accompanied than with his own complete Perfections; in himself was all his state, More solemn than the tedious pomp that waits On princes, when their rich retinue long Of horses led, and grooms besmeared with gold, Dazzles the croud, and sets them all agape. Nearer his presence Adam, though not awed, Yet with submiss approach and reverence meek, As to a superiour nature bowing low, Thus said. Native of Heaven, for other place None can than Heaven such glorious shape contain; Since, by descending from the thrones above, Those happy places thou hast deigned a while To want, and honour these, vouchsafe with us Two only, who yet by sovran gift possess This spacious ground, in yonder shady bower To rest; and what the garden choicest bears To sit and taste, till this meridian heat Be over, and the sun more cool decline. Whom thus the angelick Virtue answered mild. Adam, I therefore came; nor art thou such Created, or such place hast here to dwell, As may not oft invite, though Spirits of Heaven, To visit thee; lead on then where thy bower O'ershades; for these mid-hours, till evening rise, I have at will. So to the sylvan lodge They came, that like Pomona's arbour smiled, With flowerets decked, and fragrant smells; but Eve, Undecked save with herself, more lovely fair Than Wood-Nymph, or the fairest Goddess feigned Of three that in mount Ida naked strove, Stood to entertain her guest from Heaven; no veil She needed, virtue-proof; no thought infirm Altered her cheek. On whom the Angel Hail Bestowed, the holy salutation used Long after to blest Mary, second Eve. Hail, Mother of Mankind, whose fruitful womb Shall fill the world more numerous with thy sons, Than with these various fruits the trees of God Have heaped this table!--Raised of grassy turf Their table was, and mossy seats had round, And on her ample square from side to side All autumn piled, though spring and autumn here Danced hand in hand. A while discourse they hold; No fear lest dinner cool; when thus began Our author. Heavenly stranger, please to taste These bounties, which our Nourisher, from whom All perfect good, unmeasured out, descends, To us for food and for delight hath caused The earth to yield; unsavoury food perhaps To spiritual natures; only this I know, That one celestial Father gives to all. To whom the Angel. Therefore what he gives (Whose praise be ever sung) to Man in part Spiritual, may of purest Spirits be found No ingrateful food: And food alike those pure Intelligential substances require, As doth your rational; and both contain Within them every lower faculty Of sense, whereby they hear, see, smell, touch, taste, Tasting concoct, digest, assimilate, And corporeal to incorporeal turn. For know, whatever was created, needs To be sustained and fed: Of elements The grosser feeds the purer, earth the sea, Earth and the sea feed air, the air those fires Ethereal, and as lowest first the moon; Whence in her visage round those spots, unpurged Vapours not yet into her substance turned. Nor doth the moon no nourishment exhale From her moist continent to higher orbs. The sun that light imparts to all, receives From all his alimental recompence In humid exhalations, and at even Sups with the ocean. Though in Heaven the trees Of life ambrosial fruitage bear, and vines Yield nectar; though from off the boughs each morn We brush mellifluous dews, and find the ground Covered with pearly grain: Yet God hath here Varied his bounty so with new delights, As may compare with Heaven; and to taste Think not I shall be nice. So down they sat, And to their viands fell; nor seemingly The Angel, nor in mist, the common gloss Of Theologians; but with keen dispatch Of real hunger, and concoctive heat To transubstantiate: What redounds, transpires Through Spirits with ease; nor wonder;if by fire Of sooty coal the empirick alchemist Can turn, or holds it possible to turn, Metals of drossiest ore to perfect gold, As from the mine. Mean while at table Eve Ministered naked, and their flowing cups With pleasant liquours crowned: O innocence Deserving Paradise! if ever, then, Then had the sons of God excuse to have been Enamoured at that sight; but in those hearts Love unlibidinous reigned, nor jealousy Was understood, the injured lover's hell. Thus when with meats and drinks they had sufficed, Not burdened nature, sudden mind arose In Adam, not to let the occasion pass Given him by this great conference to know Of things above his world, and of their being Who dwell in Heaven, whose excellence he saw Transcend his own so far; whose radiant forms, Divine effulgence, whose high power, so far Exceeded human; and his wary speech Thus to the empyreal minister he framed. Inhabitant with God, now know I well Thy favour, in this honour done to Man; Under whose lowly roof thou hast vouchsafed To enter, and these earthly fruits to taste, Food not of Angels, yet accepted so, As that more willingly thou couldst not seem At Heaven's high feasts to have fed: yet what compare To whom the winged Hierarch replied. O Adam, One Almighty is, from whom All things proceed, and up to him return, If not depraved from good, created all Such to perfection, one first matter all, Endued with various forms, various degrees Of substance, and, in things that live, of life; But more refined, more spiritous, and pure, As nearer to him placed, or nearer tending Each in their several active spheres assigned, Till body up to spirit work, in bounds Proportioned to each kind. So from the root Springs lighter the green stalk, from thence the leaves More aery, last the bright consummate flower Spirits odorous breathes: flowers and their fruit, Man's nourishment, by gradual scale sublimed, To vital spirits aspire, to animal, To intellectual; give both life and sense, Fancy and understanding; whence the soul Reason receives, and reason is her being, Discursive, or intuitive; discourse Is oftest yours, the latter most is ours, Differing but in degree, of kind the same. Wonder not then, what God for you saw good If I refuse not, but convert, as you To proper substance. Time may come, when Men With Angels may participate, and find No inconvenient diet, nor too light fare; And from these corporal nutriments perhaps Your bodies may at last turn all to spirit, Improved by tract of time, and, winged, ascend Ethereal, as we; or may, at choice, Here or in heavenly Paradises dwell; If ye be found obedient, and retain Unalterably firm his love entire, Whose progeny you are. Mean while enjoy Your fill what happiness this happy state Can comprehend, incapable of more. To whom the patriarch of mankind replied. O favourable Spirit, propitious guest, Well hast thou taught the way that might direct Our knowledge, and the scale of nature set From center to circumference; whereon, In contemplation of created things, By steps we may ascend to God. But say, What meant that caution joined, If ye be found Obedient? Can we want obedience then To him, or possibly his love desert, Who formed us from the dust and placed us here Full to the utmost measure of what bliss Human desires can seek or apprehend? To whom the Angel. Son of Heaven and Earth, Attend! That thou art happy, owe to God; That thou continuest such, owe to thyself, That is, to thy obedience; therein stand. This was that caution given thee; be advised. God made thee perfect, not immutable; And good he made thee, but to persevere He left it in thy power; ordained thy will By nature free, not over-ruled by fate Inextricable, or strict necessity: Our voluntary service he requires, Not our necessitated; such with him Finds no acceptance, nor can find; for how Can hearts, not free, be tried whether they serve Willing or no, who will but what they must By destiny, and can no other choose? Myself, and all the angelick host, that stand In sight of God, enthroned, our happy state Hold, as you yours, while our obedience holds; On other surety none: Freely we serve, Because we freely love, as in our will To love or not; in this we stand or fall: And some are fallen, to disobedience fallen, And so from Heaven to deepest Hell; O fall From what high state of bliss, into what woe! To whom our great progenitor. Thy words Attentive, and with more delighted ear, Divine instructer, I have heard, than when Cherubick songs by night from neighbouring hills Aereal musick send: Nor knew I not To be both will and deed created free; Yet that we never shall forget to love Our Maker, and obey him whose command Single is yet so just, my constant thoughts Assured me, and still assure: Though what thou tellest Hath passed in Heaven, some doubt within me move, But more desire to hear, if thou consent, The full relation, which must needs be strange, Worthy of sacred silence to be heard; And we have yet large day, for scarce the sun Hath finished half his journey, and scarce begins His other half in the great zone of Heaven. Thus Adam made request; and Raphael, After short pause assenting, thus began. High matter thou enjoinest me, O prime of men, Sad task and hard: For how shall I relate To human sense the invisible exploits Of warring Spirits? how, without remorse, The ruin of so many glorious once And perfect while they stood? how last unfold The secrets of another world, perhaps Not lawful to reveal? yet for thy good This is dispensed; and what surmounts the reach Of human sense, I shall delineate so, By likening spiritual to corporal forms, As may express them best; though what if Earth Be but a shadow of Heaven, and things therein Each to other like, more than on earth is thought? As yet this world was not, and Chaos wild Reigned where these Heavens now roll, where Earth now rests Upon her center poised; when on a day (For time, though in eternity, applied To motion, measures all things durable By present, past, and future,) on such day As Heaven's great year brings forth, the empyreal host Of Angels by imperial summons called, Innumerable before the Almighty's throne Forthwith, from all the ends of Heaven, appeared Under their Hierarchs in orders bright: Ten thousand thousand ensigns high advanced, Standards and gonfalons 'twixt van and rear Stream in the air, and for distinction serve Of hierarchies, of orders, and degrees; Or in their glittering tissues bear imblazed Holy memorials, acts of zeal and love Recorded eminent. Thus when in orbs Of circuit inexpressible they stood, Orb within orb, the Father Infinite, By whom in bliss imbosomed sat the Son, Amidst as from a flaming mount, whose top Brightness had made invisible, thus spake. Hear, all ye Angels, progeny of light, Thrones, Dominations, Princedoms, Virtues, Powers; Hear my decree, which unrevoked shall stand. This day I have begot whom I declare My only Son, and on this holy hill Him have anointed, whom ye now behold At my right hand; your head I him appoint; And by myself have sworn, to him shall bow All knees in Heaven, and shall confess him Lord: Under his great vice-gerent reign abide United, as one individual soul, For ever happy: Him who disobeys, Me disobeys, breaks union, and that day, Cast out from God and blessed vision, falls Into utter darkness, deep ingulfed, his place Ordained without redemption, without end. So spake the Omnipotent, and with his words All seemed well pleased; all seemed, but were not all. That day, as other solemn days, they spent In song and dance about the sacred hill; Mystical dance, which yonder starry sphere Of planets, and of fixed, in all her wheels Resembles nearest, mazes intricate, Eccentrick, intervolved, yet regular Then most, when most irregular they seem; And in their motions harmony divine So smooths her charming tones, that God's own ear Listens delighted. Evening now approached, (For we have also our evening and our morn, We ours for change delectable, not need;) Forthwith from dance to sweet repast they turn Desirous; all in circles as they stood, Tables are set, and on a sudden piled With Angels food, and rubied nectar flows In pearl, in diamond, and massy gold, Fruit of delicious vines, the growth of Heaven. On flowers reposed, and with fresh flowerets crowned, They eat, they drink, and in communion sweet Quaff immortality and joy, secure Of surfeit, where full measure only bounds Excess, before the all-bounteous King, who showered With copious hand, rejoicing in their joy. Now when ambrosial night with clouds exhaled From that high mount of God, whence light and shade Spring both, the face of brightest Heaven had changed To grateful twilight, (for night comes not there In darker veil,) and roseat dews disposed All but the unsleeping eyes of God to rest; Wide over all the plain, and wider far Than all this globous earth in plain outspread, (Such are the courts of God) the angelick throng, Dispersed in bands and files, their camp extend By living streams among the trees of life, Pavilions numberless, and sudden reared, Celestial tabernacles, where they slept Fanned with cool winds; save those, who, in their course, Melodious hymns about the sovran throne Alternate all night long: but not so waked Satan; so call him now, his former name Is heard no more in Heaven; he of the first, If not the first Arch-Angel, great in power, In favour and pre-eminence, yet fraught With envy against the Son of God, that day Honoured by his great Father, and proclaimed Messiah King anointed, could not bear Through pride that sight, and thought himself impaired. Deep malice thence conceiving and disdain, Soon as midnight brought on the dusky hour Friendliest to sleep and silence, he resolved With all his legions to dislodge, and leave Unworshipt, unobeyed, the throne supreme, Contemptuous; and his next subordinate Awakening, thus to him in secret spake. Sleepest thou, Companion dear? What sleep can close Thy eye-lids? and rememberest what decree Of yesterday, so late hath passed the lips Of Heaven's Almighty. Thou to me thy thoughts Wast wont, I mine to thee was wont to impart; Both waking we were one; how then can now Thy sleep dissent? New laws thou seest imposed; New laws from him who reigns, new minds may raise In us who serve, new counsels to debate What doubtful may ensue: More in this place To utter is not safe. Assemble thou Of all those myriads which we lead the chief; Tell them, that by command, ere yet dim night Her shadowy cloud withdraws, I am to haste, And all who under me their banners wave, Homeward, with flying march, where we possess The quarters of the north; there to prepare Fit entertainment to receive our King, The great Messiah, and his new commands, Who speedily through all the hierarchies Intends to pass triumphant, and give laws. So spake the false Arch-Angel, and infused Bad influence into the unwary breast Of his associate: He together calls, Or several one by one, the regent Powers, Under him Regent; tells, as he was taught, That the Most High commanding, now ere night, Now ere dim night had disincumbered Heaven, The great hierarchal standard was to move; Tells the suggested cause, and casts between Ambiguous words and jealousies, to sound Or taint integrity: But all obeyed The wonted signal, and superiour voice Of their great Potentate; for great indeed His name, and high was his degree in Heaven; His countenance, as the morning-star that guides The starry flock, allured them, and with lies Drew after him the third part of Heaven's host. Mean while the Eternal eye, whose sight discerns Abstrusest thoughts, from forth his holy mount, And from within the golden lamps that burn Nightly before him, saw without their light Rebellion rising; saw in whom, how spread Among the sons of morn, what multitudes Were banded to oppose his high decree; And, smiling, to his only Son thus said. Son, thou in whom my glory I behold In full resplendence, Heir of all my might, Nearly it now concerns us to be sure Of our Omnipotence, and with what arms We mean to hold what anciently we claim Of deity or empire: Such a foe Is rising, who intends to erect his throne Equal to ours, throughout the spacious north; Nor so content, hath in his thought to try In battle, what our power is, or our right. Let us advise, and to this hazard draw With speed what force is left, and all employ In our defence; lest unawares we lose This our high place, our sanctuary, our hill. To whom the Son with calm aspect and clear, Lightning divine, ineffable, serene, Made answer. Mighty Father, thou thy foes Justly hast in derision, and, secure, Laughest at their vain designs and tumults vain, Matter to me of glory, whom their hate Illustrates, when they see all regal power Given me to quell their pride, and in event Know whether I be dextrous to subdue Thy rebels, or be found the worst in Heaven. So spake the Son; but Satan, with his Powers, Far was advanced on winged speed; an host Innumerable as the stars of night, Or stars of morning, dew-drops, which the sun Impearls on every leaf and every flower. Regions they passed, the mighty regencies Of Seraphim, and Potentates, and Thrones, In their triple degrees; regions to which All thy dominion, Adam, is no more Than what this garden is to all the earth, And all the sea, from one entire globose Stretched into longitude; which having passed, At length into the limits of the north They came; and Satan to his royal seat High on a hill, far blazing, as a mount Raised on a mount, with pyramids and towers From diamond quarries hewn, and rocks of gold; The palace of great Lucifer, (so call That structure in the dialect of men Interpreted,) which not long after, he Affecting all equality with God, In imitation of that mount whereon Messiah was declared in sight of Heaven, The Mountain of the Congregation called; For thither he assembled all his train, Pretending so commanded to consult About the great reception of their King, Thither to come, and with calumnious art Of counterfeited truth thus held their ears. Thrones, Dominations, Princedoms, Virtues, Powers; If these magnifick titles yet remain Not merely titular, since by decree Another now hath to himself engrossed All power, and us eclipsed under the name Of King anointed, for whom all this haste Of midnight-march, and hurried meeting here, This only to consult how we may best, With what may be devised of honours new, Receive him coming to receive from us Knee-tribute yet unpaid, prostration vile! Too much to one! but double how endured, To one, and to his image now proclaimed? But what if better counsels might erect Our minds, and teach us to cast off this yoke? Will ye submit your necks, and choose to bend The supple knee? Ye will not, if I trust To know ye right, or if ye know yourselves Natives and sons of Heaven possessed before By none; and if not equal all, yet free, Equally free; for orders and degrees Jar not with liberty, but well consist. Who can in reason then, or right, assume Monarchy over such as live by right His equals, if in power and splendour less, In freedom equal? or can introduce Law and edict on us, who without law Err not? much less for this to be our Lord, And look for adoration, to the abuse Of those imperial titles, which assert Our being ordained to govern, not to serve. Thus far his bold discourse without controul Had audience; when among the Seraphim Abdiel, than whom none with more zeal adored The Deity, and divine commands obeyed, Stood up, and in a flame of zeal severe The current of his fury thus opposed. O argument blasphemous, false, and proud! Words which no ear ever to hear in Heaven Expected, least of all from thee, Ingrate, In place thyself so high above thy peers. Canst thou with impious obloquy condemn The just decree of God, pronounced and sworn, That to his only Son, by right endued With regal scepter, every soul in Heaven Shall bend the knee, and in that honour due Confess him rightful King? unjust, thou sayest, Flatly unjust, to bind with laws the free, And equal over equals to let reign, One over all with unsucceeded power. Shalt thou give law to God? shalt thou dispute With him the points of liberty, who made Thee what thou art, and formed the Powers of Heaven Such as he pleased, and circumscribed their being? Yet, by experience taught, we know how good, And of our good and of our dignity How provident he is; how far from thought To make us less, bent rather to exalt Our happy state, under one head more near United. But to grant it thee unjust, That equal over equals monarch reign: Thyself, though great and glorious, dost thou count, Or all angelick nature joined in one, Equal to him begotten Son? by whom, As by his Word, the Mighty Father made All things, even thee; and all the Spirits of Heaven By him created in their bright degrees, Crowned them with glory, and to their glory named Thrones, Dominations, Princedoms, Virtues, Powers, Essential Powers; nor by his reign obscured, But more illustrious made; since he the head One of our number thus reduced becomes; His laws our laws; all honour to him done Returns our own. Cease then this impious rage, And tempt not these; but hasten to appease The incensed Father, and the incensed Son, While pardon may be found in time besought. So spake the fervent Angel; but his zeal None seconded, as out of season judged, Or singular and rash: Whereat rejoiced The Apostate, and, more haughty, thus replied. That we were formed then sayest thou? and the work Of secondary hands, by task transferred From Father to his Son? strange point and new! Doctrine which we would know whence learned: who saw When this creation was? rememberest thou Thy making, while the Maker gave thee being? We know no time when we were not as now; Know none before us, self-begot, self-raised By our own quickening power, when fatal course Had circled his full orb, the birth mature Of this our native Heaven, ethereal sons. Our puissance is our own; our own right hand Shall teach us highest deeds, by proof to try Who is our equal: Then thou shalt behold Whether by supplication we intend Address, and to begirt the almighty throne Beseeching or besieging. This report, These tidings carry to the anointed King; And fly, ere evil intercept thy flight. He said; and, as the sound of waters deep, Hoarse murmur echoed to his words applause Through the infinite host; nor less for that The flaming Seraph fearless, though alone Encompassed round with foes, thus answered bold. O alienate from God, O Spirit accursed, Forsaken of all good! I see thy fall Determined, and thy hapless crew involved In this perfidious fraud, contagion spread Both of thy crime and punishment: Henceforth No more be troubled how to quit the yoke Of God's Messiah; those indulgent laws Will not be now vouchsafed; other decrees Against thee are gone forth without recall; That golden scepter, which thou didst reject, Is now an iron rod to bruise and break Thy disobedience. Well thou didst advise; Yet not for thy advice or threats I fly These wicked tents devoted, lest the wrath Impendent, raging into sudden flame, Distinguish not: For soon expect to feel His thunder on thy head, devouring fire. Then who created thee lamenting learn, When who can uncreate thee thou shalt know. So spake the Seraph Abdiel, faithful found Among the faithless, faithful only he; Among innumerable false, unmoved, Unshaken, unseduced, unterrified, His loyalty he kept, his love, his zeal; Nor number, nor example, with him wrought To swerve from truth, or change his constant mind, Though single. From amidst them forth he passed, Long way through hostile scorn, which he sustained Superiour, nor of violence feared aught; And, with retorted scorn, his back he turned On those proud towers to swift destruction doomed. Book VI All night the dreadless Angel, unpursued, Through Heaven's wide champain held his way; till Morn, Waked by the circling Hours, with rosy hand Unbarred the gates of light. There is a cave Within the mount of God, fast by his throne, Where light and darkness in perpetual round Lodge and dislodge by turns, which makes through Heaven Grateful vicissitude, like day and night; Light issues forth, and at the other door Obsequious darkness enters, till her hour To veil the Heaven, though darkness there might well Seem twilight here: And now went forth the Morn Such as in highest Heaven arrayed in gold Empyreal; from before her vanished Night, Shot through with orient beams; when all the plain Covered with thick embattled squadrons bright, Chariots, and flaming arms, and fiery steeds, Reflecting blaze on blaze, first met his view: War he perceived, war in procinct; and found Already known what he for news had thought To have reported: Gladly then he mixed Among those friendly Powers, who him received With joy and acclamations loud, that one, That of so many myriads fallen, yet one Returned not lost. On to the sacred hill They led him high applauded, and present Before the seat supreme; from whence a voice, From midst a golden cloud, thus mild was heard. Servant of God. Well done; well hast thou fought The better fight, who single hast maintained Against revolted multitudes the cause Of truth, in word mightier than they in arms; And for the testimony of truth hast borne Universal reproach, far worse to bear Than violence; for this was all thy care To stand approved in sight of God, though worlds Judged thee perverse: The easier conquest now Remains thee, aided by this host of friends, Back on thy foes more glorious to return, Than scorned thou didst depart; and to subdue By force, who reason for their law refuse, Right reason for their law, and for their King Messiah, who by right of merit reigns. Go, Michael, of celestial armies prince, And thou, in military prowess next, Gabriel, lead forth to battle these my sons Invincible; lead forth my armed Saints, By thousands and by millions, ranged for fight, Equal in number to that Godless crew Rebellious: Them with fire and hostile arms Fearless assault; and, to the brow of Heaven Pursuing, drive them out from God and bliss, Into their place of punishment, the gulf Of Tartarus, which ready opens wide His fiery Chaos to receive their fall. So spake the Sovran Voice, and clouds began To darken all the hill, and smoke to roll In dusky wreaths, reluctant flames, the sign Of wrath awaked; nor with less dread the loud Ethereal trumpet from on high 'gan blow: At which command the Powers militant, That stood for Heaven, in mighty quadrate joined Of union irresistible, moved on In silence their bright legions, to the sound Of instrumental harmony, that breathed Heroick ardour to adventurous deeds Under their God-like leaders, in the cause Of God and his Messiah. On they move Indissolubly firm; nor obvious hill, Nor straitening vale, nor wood, nor stream, divides Their perfect ranks; for high above the ground Their march was, and the passive air upbore Their nimble tread; as when the total kind Of birds, in orderly array on wing, Came summoned over Eden to receive Their names of thee; so over many a tract Of Heaven they marched, and many a province wide, Tenfold the length of this terrene: At last, Far in the horizon to the north appeared From skirt to skirt a fiery region, stretched In battailous aspect, and nearer view Bristled with upright beams innumerable Of rigid spears, and helmets thronged, and shields Various, with boastful argument portrayed, The banded Powers of Satan hasting on With furious expedition; for they weened That self-same day, by fight or by surprise, To win the mount of God, and on his throne To set the Envier of his state, the proud Aspirer; but their thoughts proved fond and vain In the mid way: Though strange to us it seemed At first, that Angel should with Angel war, And in fierce hosting meet, who wont to meet So oft in festivals of joy and love Unanimous, as sons of one great Sire, Hymning the Eternal Father: But the shout Of battle now began, and rushing sound Of onset ended soon each milder thought. High in the midst, exalted as a God, The Apostate in his sun-bright chariot sat, Idol of majesty divine, enclosed With flaming Cherubim, and golden shields; Then lighted from his gorgeous throne, for now "twixt host and host but narrow space was left, A dreadful interval, and front to front Presented stood in terrible array Of hideous length: Before the cloudy van, On the rough edge of battle ere it joined, Satan, with vast and haughty strides advanced, Came towering, armed in adamant and gold; Abdiel that sight endured not, where he stood Among the mightiest, bent on highest deeds, And thus his own undaunted heart explores. O Heaven! that such resemblance of the Highest Should yet remain, where faith and realty Remain not: Wherefore should not strength and might There fail where virtue fails, or weakest prove Where boldest, though to fight unconquerable? His puissance, trusting in the Almighty's aid, I mean to try, whose reason I have tried Unsound and false; nor is it aught but just, That he, who in debate of truth hath won, Should win in arms, in both disputes alike Victor; though brutish that contest and foul, When reason hath to deal with force, yet so Most reason is that reason overcome. So pondering, and from his armed peers Forth stepping opposite, half-way he met His daring foe, at this prevention more Incensed, and thus securely him defied. Proud, art thou met? thy hope was to have reached The highth of thy aspiring unopposed, The throne of God unguarded, and his side Abandoned, at the terrour of thy power Or potent tongue: Fool!not to think how vain Against the Omnipotent to rise in arms; Who out of smallest things could, without end, Have raised incessant armies to defeat Thy folly; or with solitary hand Reaching beyond all limit, at one blow, Unaided, could have finished thee, and whelmed Thy legions under darkness: But thou seest All are not of thy train; there be, who faith Prefer, and piety to God, though then To thee not visible, when I alone Seemed in thy world erroneous to dissent From all: My sect thou seest;now learn too late How few sometimes may know, when thousands err. Whom the grand foe, with scornful eye askance, Thus answered. Ill for thee, but in wished hour Of my revenge, first sought for, thou returnest From flight, seditious Angel! to receive Thy merited reward, the first assay Of this right hand provoked, since first that tongue, Inspired with contradiction, durst oppose A third part of the Gods, in synod met Their deities to assert; who, while they feel Vigour divine within them, can allow Omnipotence to none. But well thou comest Before thy fellows, ambitious to win From me some plume, that thy success may show Destruction to the rest: This pause between, (Unanswered lest thou boast) to let thee know, At first I thought that Liberty and Heaven To heavenly souls had been all one; but now I see that most through sloth had rather serve, Ministring Spirits, trained up in feast and song! Such hast thou armed, the minstrelsy of Heaven, Servility with freedom to contend, As both their deeds compared this day shall prove. To whom in brief thus Abdiel stern replied. Apostate! still thou errest, nor end wilt find Of erring, from the path of truth remote: Unjustly thou depravest it with the name Of servitude, to serve whom God ordains, Or Nature: God and Nature bid the same, When he who rules is worthiest, and excels Them whom he governs. This is servitude, To serve the unwise, or him who hath rebelled Against his worthier, as thine now serve thee, Thyself not free, but to thyself enthralled; Yet lewdly darest our ministring upbraid. Reign thou in Hell, thy kingdom; let me serve In Heaven God ever blest, and his divine Behests obey, worthiest to be obeyed; Yet chains in Hell, not realms, expect: Mean while From me returned, as erst thou saidst, from flight, This greeting on thy impious crest receive. So saying, a noble stroke he lifted high, Which hung not, but so swift with tempest fell On the proud crest of Satan, that no sight, Nor motion of swift thought, less could his shield, Such ruin intercept: Ten paces huge He back recoiled; the tenth on bended knee His massy spear upstaid; as if on earth Winds under ground, or waters forcing way, Sidelong had pushed a mountain from his seat, Half sunk with all his pines. Amazement seised The rebel Thrones, but greater rage, to see Thus foiled their mightiest; ours joy filled, and shout, Presage of victory, and fierce desire Of battle: Whereat Michael bid sound The Arch-Angel trumpet; through the vast of Heaven It sounded, and the faithful armies rung Hosanna to the Highest: Nor stood at gaze The adverse legions, nor less hideous joined The horrid shock. Now storming fury rose, And clamour such as heard in Heaven till now Was never; arms on armour clashing brayed Horrible discord, and the madding wheels Of brazen chariots raged; dire was the noise Of conflict; over head the dismal hiss Of fiery darts in flaming vollies flew, And flying vaulted either host with fire. So under fiery cope together rushed Both battles main, with ruinous assault And inextinguishable rage. All Heaven Resounded; and had Earth been then, all Earth Had to her center shook. What wonder? when Millions of fierce encountering Angels fought On either side, the least of whom could wield These elements, and arm him with the force Of all their regions: How much more of power Army against army numberless to raise Dreadful combustion warring, and disturb, Though not destroy, their happy native seat; Had not the Eternal King Omnipotent, From his strong hold of Heaven, high over-ruled And limited their might; though numbered such As each divided legion might have seemed A numerous host; in strength each armed hand A legion; led in fight, yet leader seemed Each warriour single as in chief, expert When to advance, or stand, or turn the sway Of battle, open when, and when to close The ridges of grim war: No thought of flight, None of retreat, no unbecoming deed That argued fear; each on himself relied, As only in his arm the moment lay Of victory: Deeds of eternal fame Were done, but infinite; for wide was spread That war and various; sometimes on firm ground A standing fight, then, soaring on main wing, Tormented all the air; all air seemed then Conflicting fire. Long time in even scale The battle hung; till Satan, who that day Prodigious power had shown, and met in arms No equal, ranging through the dire attack Of fighting Seraphim confused, at length Saw where the sword of Michael smote, and felled Squadrons at once; with huge two-handed sway Brandished aloft, the horrid edge came down Wide-wasting; such destruction to withstand He hasted, and opposed the rocky orb Of tenfold adamant, his ample shield, A vast circumference. At his approach The great Arch-Angel from his warlike toil Surceased, and glad, as hoping here to end Intestine war in Heaven, the arch-foe subdued Or captive dragged in chains, with hostile frown And visage all inflamed first thus began. Author of evil, unknown till thy revolt, Unnamed in Heaven, now plenteous as thou seest These acts of hateful strife, hateful to all, Though heaviest by just measure on thyself, And thy adherents: How hast thou disturbed Heaven's blessed peace, and into nature brought Misery, uncreated till the crime Of thy rebellion! how hast thou instilled Thy malice into thousands, once upright And faithful, now proved false! But think not here To trouble holy rest; Heaven casts thee out From all her confines. Heaven, the seat of bliss, Brooks not the works of violence and war. Hence then, and evil go with thee along, Thy offspring, to the place of evil, Hell; Thou and thy wicked crew! there mingle broils, Ere this avenging sword begin thy doom, Or some more sudden vengeance, winged from God, Precipitate thee with augmented pain. So spake the Prince of Angels; to whom thus The Adversary. Nor think thou with wind Of aery threats to awe whom yet with deeds Thou canst not. Hast thou turned the least of these To flight, or if to fall, but that they rise Unvanquished, easier to transact with me That thou shouldst hope, imperious, and with threats To chase me hence? err not, that so shall end The strife which thou callest evil, but we style The strife of glory; which we mean to win, Or turn this Heaven itself into the Hell Thou fablest; here however to dwell free, If not to reign: Mean while thy utmost force, And join him named Almighty to thy aid, I fly not, but have sought thee far and nigh. They ended parle, and both addressed for fight Unspeakable; for who, though with the tongue Of Angels, can relate, or to what things Liken on earth conspicuous, that may lift Human imagination to such highth Of Godlike power? for likest Gods they seemed, Stood they or moved, in stature, motion, arms, Fit to decide the empire of great Heaven. Now waved their fiery swords, and in the air Made horrid circles; two broad suns their shields Blazed opposite, while Expectation stood In horrour: From each hand with speed retired, Where erst was thickest fight, the angelick throng, And left large field, unsafe within the wind Of such commotion; such as, to set forth Great things by small, if, nature's concord broke, Among the constellations war were sprung, Two planets, rushing from aspect malign Of fiercest opposition, in mid sky Should combat, and their jarring spheres confound. Together both with next to almighty arm Up-lifted imminent, one stroke they aimed That might determine, and not need repeat, As not of power at once; nor odds appeared In might or swift prevention: But the sword Of Michael from the armoury of God Was given him tempered so, that neither keen Nor solid might resist that edge: it met The sword of Satan, with steep force to smite Descending, and in half cut sheer; nor staid, But with swift wheel reverse, deep entering, shared All his right side: Then Satan first knew pain, And writhed him to and fro convolved; so sore The griding sword with discontinuous wound Passed through him: But the ethereal substance closed, Not long divisible; and from the gash A stream of necturous humour issuing flowed Sanguine, such as celestial Spirits may bleed, And all his armour stained, ere while so bright. Forthwith on all sides to his aid was run By Angels many and strong, who interposed Defence, while others bore him on their shields Back to his chariot, where it stood retired From off the files of war: There they him laid Gnashing for anguish, and despite, and shame, To find himself not matchless, and his pride Humbled by such rebuke, so far beneath His confidence to equal God in power. Yet soon he healed; for Spirits that live throughout Vital in every part, not as frail man In entrails, heart of head, liver or reins, Cannot but by annihilating die; Nor in their liquid texture mortal wound Receive, no more than can the fluid air: All heart they live, all head, all eye, all ear, All intellect, all sense; and, as they please, They limb themselves, and colour, shape, or size Assume, as?kikes them best, condense or rare. Mean while in other parts like deeds deserved Memorial, where the might of Gabriel fought, And with fierce ensigns pierced the deep array Of Moloch, furious king; who him defied, And at his chariot-wheels to drag him bound Threatened, nor from the Holy One of Heaven Refrained his tongue blasphemous; but anon Down cloven to the waist, with shattered arms And uncouth pain fled bellowing. On each wing Uriel, and Raphael, his vaunting foe, Though huge, and in a rock of diamond armed, Vanquished Adramelech, and Asmadai, Two potent Thrones, that to be less than Gods Disdained, but meaner thoughts learned in their flight, Mangled with ghastly wounds through plate and mail. Nor stood unmindful Abdiel to annoy The atheist crew, but with redoubled blow Ariel, and Arioch, and the violence Of Ramiel scorched and blasted, overthrew. I might relate of thousands, and their names Eternize here on earth; but those elect Angels, contented with their fame in Heaven, Seek not the praise of men: The other sort, In might though wonderous and in acts of war, Nor of renown less eager, yet by doom Cancelled from Heaven and sacred memory, Nameless in dark oblivion let them dwell. For strength from truth divided, and from just, Illaudable, nought merits but dispraise And ignominy; yet to glory aspires Vain-glorious, and through infamy seeks fame: Therefore eternal silence be their doom. And now, their mightiest quelled, the battle swerved, With many an inroad gored; deformed rout Entered, and foul disorder; all the ground With shivered armour strown, and on a heap Chariot and charioteer lay overturned, And fiery-foaming steeds; what stood, recoiled O'er-wearied, through the faint Satanick host Defensive scarce, or with pale fear surprised, Then first with fear surprised, and sense of pain, Fled ignominious, to such evil brought By sin of disobedience; till that hour Not liable to fear, or flight, or pain. Far otherwise the inviolable Saints, In cubick phalanx firm, advanced entire, Invulnerable, impenetrably armed; Such high advantages their innocence Gave them above their foes; not to have sinned, Not to have disobeyed; in fight they stood Unwearied, unobnoxious to be pained By wound, though from their place by violence moved, Now Night her course began, and, over Heaven Inducing darkness, grateful truce imposed, And silence on the odious din of war: Under her cloudy covert both retired, Victor and vanquished: On the foughten field Michael and his Angels prevalent Encamping, placed in guard their watches round, Cherubick waving fires: On the other part, Satan with his rebellious disappeared, Far in the dark dislodged; and, void of rest, His potentates to council called by night; And in the midst thus undismayed began. O now in danger tried, now known in arms Not to be overpowered, Companions dear, Found worthy not of liberty alone, Too mean pretence! but what we more affect, Honour, dominion, glory, and renown; Who have sustained one day in doubtful fight, (And if one day, why not eternal days?) What Heaven's Lord had powerfullest to send Against us from about his throne, and judged Sufficient to subdue us to his will, But proves not so: Then fallible, it seems, Of future we may deem him, though till now Omniscient thought. True is, less firmly armed, Some disadvantage we endured and pain, Till now not known, but, known, as soon contemned; Since now we find this our empyreal form Incapable of mortal injury, Imperishable, and, though pierced with wound, Soon closing, and by native vigour healed. Of evil then so small as easy think The remedy; perhaps more valid arms, Weapons more violent, when next we meet, May serve to better us, and worse our foes, Or equal what between us made the odds, In nature none: If other hidden cause Left them superiour, while we can preserve Unhurt our minds, and understanding sound, Due search and consultation will disclose. He sat; and in the assembly next upstood Nisroch, of Principalities the prime; As one he stood escaped from cruel fight, Sore toiled, his riven arms to havock hewn, And cloudy in aspect thus answering spake. Deliverer from new Lords, leader to free Enjoyment of our right as Gods; yet hard For Gods, and too unequal work we find, Against unequal arms to fight in pain, Against unpained, impassive; from which evil Ruin must needs ensue; for what avails Valour or strength, though matchless, quelled with pain Which all subdues, and makes remiss the hands Of mightiest? Sense of pleasure we may well Spare out of life perhaps, and not repine, But live content, which is the calmest life: But pain is perfect misery, the worst Of evils, and, excessive, overturns All patience. He, who therefore can invent With what more forcible we may offend Our yet unwounded enemies, or arm Ourselves with like defence, to me deserves No less than for deliverance what we owe. Whereto with look composed Satan replied. Not uninvented that, which thou aright Believest so main to our success, I bring. Which of us who beholds the bright surface Of this ethereous mould whereon we stand, This continent of spacious Heaven, adorned With plant, fruit, flower ambrosial, gems, and gold; Whose eye so superficially surveys These things, as not to mind from whence they grow Deep under ground, materials dark and crude, Of spiritous and fiery spume, till touched With Heaven's ray, and tempered, they shoot forth So beauteous, opening to the ambient light? These in their dark nativity the deep Shall yield us, pregnant with infernal flame; Which, into hollow engines, long and round, Thick rammed, at the other bore with touch of fire Dilated and infuriate, shall send forth From far, with thundering noise, among our foes Such implements of mischief, as shall dash To pieces, and o'erwhelm whatever stands Adverse, that they shall fear we have disarmed The Thunderer of his only dreaded bolt. Nor long shall be our labour; yet ere dawn, Effect shall end our wish. Mean while revive; Abandon fear; to strength and counsel joined Think nothing hard, much less to be despaired. He ended, and his words their drooping cheer Enlightened, and their languished hope revived. The invention all admired, and each, how he To be the inventer missed; so easy it seemed Once found, which yet unfound most would have thought Impossible: Yet, haply, of thy race In future days, if malice should abound, Some one intent on mischief, or inspired With devilish machination, might devise Like instrument to plague the sons of men For sin, on war and mutual slaughter bent. Forthwith from council to the work they flew; None arguing stood; innumerable hands Were ready; in a moment up they turned Wide the celestial soil, and saw beneath The originals of nature in their crude Conception; sulphurous and nitrous foam They found, they mingled, and, with subtle art, Concocted and adusted they reduced To blackest grain, and into store conveyed: Part hidden veins digged up (nor hath this earth Entrails unlike) of mineral and stone, Whereof to found their engines and their balls Of missive ruin; part incentive reed Provide, pernicious with one touch to fire. So all ere day-spring, under conscious night, Secret they finished, and in order set, With silent circumspection, unespied. Now when fair morn orient in Heaven appeared, Up rose the victor-Angels, and to arms The matin trumpet sung: In arms they stood Of golden panoply, refulgent host, Soon banded; others from the dawning hills Look round, and scouts each coast light-armed scour, Each quarter to descry the distant foe, Where lodged, or whither fled, or if for fight, In motion or in halt: Him soon they met Under spread ensigns moving nigh, in slow But firm battalion; back with speediest sail Zophiel, of Cherubim the swiftest wing, Came flying, and in mid air aloud thus cried. Arm, Warriours, arm for fight; the foe at hand, Whom fled we thought, will save us long pursuit This day; fear not his flight;so thick a cloud He comes, and settled in his face I see Sad resolution, and secure: Let each His adamantine coat gird well, and each Fit well his helm, gripe fast his orbed shield, Borne even or high; for this day will pour down, If I conjecture aught, no drizzling shower, But rattling storm of arrows barbed with fire. So warned he them, aware themselves, and soon In order, quit of all impediment; Instant without disturb they took alarm, And onward moved embattled: When behold! Not distant far with heavy pace the foe Approaching gross and huge, in hollow cube Training his devilish enginery, impaled On every side with shadowing squadrons deep, To hide the fraud. At interview both stood A while; but suddenly at head appeared Satan, and thus was heard commanding loud. Vanguard, to right and left the front unfold; That all may see who hate us, how we seek Peace and composure, and with open breast Stand ready to receive them, if they like Our overture; and turn not back perverse: But that I doubt; however witness, Heaven! Heaven, witness thou anon! while we discharge Freely our part: ye, who appointed stand Do as you have in charge, and briefly touch What we propound, and loud that all may hear! So scoffing in ambiguous words, he scarce Had ended; when to right and left the front Divided, and to either flank retired: Which to our eyes discovered, new and strange, A triple mounted row of pillars laid On wheels (for like to pillars most they seemed, Or hollowed bodies made of oak or fir, With branches lopt, in wood or mountain felled,) Brass, iron, stony mould, had not their mouths With hideous orifice gaped on us wide, Portending hollow truce: At each behind A Seraph stood, and in his hand a reed Stood waving tipt with fire; while we, suspense, Collected stood within our thoughts amused, Not long; for sudden all at once their reeds Put forth, and to a narrow vent applied With nicest touch. Immediate in a flame, But soon obscured with smoke, all Heaven appeared, From those deep-throated engines belched, whose roar Embowelled with outrageous noise the air, And all her entrails tore, disgorging foul Their devilish glut, chained thunderbolts and hail Of iron globes; which, on the victor host Levelled, with such impetuous fury smote, That, whom they hit, none on their feet might stand, Though standing else as rocks, but down they fell By thousands, Angel on Arch-Angel rolled; The sooner for their arms; unarmed, they might Have easily, as Spirits, evaded swift By quick contraction or remove; but now Foul dissipation followed, and forced rout; Nor served it to relax their serried files. What should they do? if on they rushed, repulse Repeated, and indecent overthrow Doubled, would render them yet more despised, And to their foes a laughter; for in view Stood ranked of Seraphim another row, In posture to displode their second tire Of thunder: Back defeated to return They worse abhorred. Satan beheld their plight, And to his mates thus in derision called. O Friends! why come not on these victors proud Ere while they fierce were coming; and when we, To entertain them fair with open front And breast, (what could we more?) propounded terms Of composition, straight they changed their minds, Flew off, and into strange vagaries fell, As they would dance; yet for a dance they seemed Somewhat extravagant and wild; perhaps For joy of offered peace: But I suppose, If our proposals once again were heard, We should compel them to a quick result. To whom thus Belial, in like gamesome mood. Leader! the terms we sent were terms of weight, Of hard contents, and full of force urged home; Such as we might perceive amused them all, And stumbled many: Who receives them right, Had need from head to foot well understand; Not understood, this gift they have besides, They show us when our foes walk not upright. So they among themselves in pleasant vein Stood scoffing, hightened in their thoughts beyond All doubt of victory: Eternal Might To match with their inventions they presumed So easy, and of his thunder made a scorn, And all his host derided, while they stood A while in trouble: But they stood not long; Rage prompted them at length, and found them arms Against such hellish mischief fit to oppose. Forthwith (behold the excellence, the power, Which God hath in his mighty Angels placed!) Their arms away they threw, and to the hills (For Earth hath this variety from Heaven Of pleasure situate in hill and dale,) Light as the lightning glimpse they ran, they flew; From their foundations loosening to and fro, They plucked the seated hills, with all their load, Rocks, waters, woods, and by the shaggy tops Up-lifting bore them in their hands: Amaze, Be sure, and terrour, seized the rebel host, When coming towards them so dread they saw The bottom of the mountains upward turned; Till on those cursed engines' triple-row They saw them whelmed, and all their confidence Under the weight of mountains buried deep; Themselves invaded next, and on their heads Main promontories flung, which in the air Came shadowing, and oppressed whole legions armed; Their armour helped their harm, crushed in and bruised Into their substance pent, which wrought them pain Implacable, and many a dolorous groan; Long struggling underneath, ere they could wind Out of such prison, though Spirits of purest light, Purest at first, now gross by sinning grown. The rest, in imitation, to like arms Betook them, and the neighbouring hills uptore: So hills amid the air encountered hills, Hurled to and fro with jaculation dire; That under ground they fought in dismal shade; Infernal noise! war seemed a civil game To this uproar; horrid confusion heaped Upon confusion rose: And now all Heaven Had gone to wrack, with ruin overspread; Had not the Almighty Father, where he sits Shrined in his sanctuary of Heaven secure, Consulting on the sum of things, foreseen This tumult, and permitted all, advised: That his great purpose he might so fulfil, To honour his anointed Son avenged Upon his enemies, and to declare All power on him transferred: Whence to his Son, The Assessour of his throne, he thus began. Effulgence of my glory, Son beloved, Son, in whose face invisible is beheld Visibly, what by Deity I am; And in whose hand what by decree I do, Second Omnipotence! two days are past, Two days, as we compute the days of Heaven, Since Michael and his Powers went forth to tame These disobedient: Sore hath been their fight, As likeliest was, when two such foes met armed; For to themselves I left them; and thou knowest, Equal in their creation they were formed, Save what sin hath impaired; which yet hath wrought Insensibly, for I suspend their doom; Whence in perpetual fight they needs must last Endless, and no solution will be found: War wearied hath performed what war can do, And to disordered rage let loose the reins With mountains, as with weapons, armed; which makes Wild work in Heaven, and dangerous to the main. Two days are therefore past, the third is thine; For thee I have ordained it; and thus far Have suffered, that the glory may be thine Of ending this great war, since none but Thou Can end it. Into thee such virtue and grace Immense I have transfused, that all may know In Heaven and Hell thy power above compare; And, this perverse commotion governed thus, To manifest thee worthiest to be Heir Of all things; to be Heir, and to be King By sacred unction, thy deserved right. Go then, Thou Mightiest, in thy Father's might; Ascend my chariot, guide the rapid wheels That shake Heaven's basis, bring forth all my war, My bow and thunder, my almighty arms Gird on, and sword upon thy puissant thigh; Pursue these sons of darkness, drive them out From all Heaven's bounds into the utter deep: There let them learn, as likes them, to despise God, and Messiah his anointed King. He said, and on his Son with rays direct Shone full; he all his Father full expressed Ineffably into his face received; And thus the Filial Godhead answering spake. O Father, O Supreme of heavenly Thrones, First, Highest, Holiest, Best; thou always seek'st To glorify thy Son, I always thee, As is most just: This I my glory account, My exaltation, and my whole delight, That thou, in me well pleased, declarest thy will Fulfilled, which to fulfil is all my bliss. Scepter and power, thy giving, I assume, And gladlier shall resign, when in the end Thou shalt be all in all, and I in thee For ever; and in me all whom thou lovest: But whom thou hatest, I hate, and can put on Thy terrours, as I put thy mildness on, Image of thee in all things; and shall soon, Armed with thy might, rid Heaven of these rebelled; To their prepared ill mansion driven down, To chains of darkness, and the undying worm; That from thy just obedience could revolt, Whom to obey is happiness entire. Then shall thy Saints unmixed, and from the impure Far separate, circling thy holy mount, Unfeigned Halleluiahs to thee sing, Hymns of high praise, and I among them Chief. So said, he, o'er his scepter bowing, rose From the right hand of Glory where he sat; And the third sacred morn began to shine, Dawning through Heaven. Forth rushed with whirlwind sound The chariot of Paternal Deity, Flashing thick flames, wheel within wheel undrawn, Itself instinct with Spirit, but convoyed By four Cherubick shapes; four faces each Had wonderous; as with stars, their bodies all And wings were set with eyes; with eyes the wheels Of beryl, and careering fires between; Over their heads a crystal firmament, Whereon a sapphire throne, inlaid with pure Amber, and colours of the showery arch. He, in celestial panoply all armed Of radiant Urim, work divinely wrought, Ascended; at his right hand Victory Sat eagle-winged; beside him hung his bow And quiver with three-bolted thunder stored; And from about him fierce effusion rolled Of smoke, and bickering flame, and sparkles dire: Attended with ten thousand thousand Saints, He onward came; far off his coming shone; And twenty thousand (I their number heard) Chariots of God, half on each hand, were seen; He on the wings of Cherub rode sublime On the crystalline sky, in sapphire throned, Illustrious far and wide; but by his own First seen: Them unexpected joy surprised, When the great ensign of Messiah blazed Aloft by Angels borne, his sign in Heaven; Under whose conduct Michael soon reduced His army, circumfused on either wing, Under their Head imbodied all in one. Before him Power Divine his way prepared; At his command the uprooted hills retired Each to his place; they heard his voice, and went Obsequious; Heaven his wonted face renewed, And with fresh flowerets hill and valley smiled. This saw his hapless foes, but stood obdured, And to rebellious fight rallied their Powers, Insensate, hope conceiving from despair. In heavenly Spirits could such perverseness dwell? But to convince the proud what signs avail, Or wonders move the obdurate to relent? They, hardened more by what might most reclaim, Grieving to see his glory, at the sight Took envy; and, aspiring to his highth, Stood re-embattled fierce, by force or fraud Weening to prosper, and at length prevail Against God and Messiah, or to fall In universal ruin last; and now To final battle drew, disdaining flight, Or faint retreat; when the great Son of God To all his host on either hand thus spake. Stand still in bright array, ye Saints; here stand, Ye Angels armed; this day from battle rest: Faithful hath been your warfare, and of God Accepted, fearless in his righteous cause; And as ye have received, so have ye done, Invincibly: But of this cursed crew The punishment to other hand belongs; Vengeance is his, or whose he sole appoints: Number to this day's work is not ordained, Nor multitude; stand only, and behold God's indignation on these godless poured By me; not you, but me, they have despised, Yet envied; against me is all their rage, Because the Father, to whom in Heaven s'preme Kingdom, and power, and glory appertains, Hath honoured me, according to his will. Therefore to me their doom he hath assigned; That they may have their wish, to try with me In battle which the stronger proves; they all, Or I alone against them; since by strength They measure all, of other excellence Not emulous, nor care who them excels; Nor other strife with them do I vouchsafe. So spake the Son, and into terrour changed His countenance too severe to be beheld, And full of wrath bent on his enemies. At once the Four spread out their starry wings With dreadful shade contiguous, and the orbs Of his fierce chariot rolled, as with the sound Of torrent floods, or of a numerous host. He on his impious foes right onward drove, Gloomy as night; under his burning wheels The stedfast empyrean shook throughout, All but the throne itself of God. Full soon Among them he arrived; in his right hand Grasping ten thousand thunders, which he sent Before him, such as in their souls infixed Plagues: They, astonished, all resistance lost, All courage; down their idle weapons dropt: O'er shields, and helms, and helmed heads he rode Of Thrones and mighty Seraphim prostrate, That wished the mountains now might be again Thrown on them, as a shelter from his ire. Nor less on either side tempestuous fell His arrows, from the fourfold-visaged Four Distinct with eyes, and from the living wheels Distinct alike with multitude of eyes; One Spirit in them ruled; and every eye Glared lightning, and shot forth pernicious fire Among the accursed, that withered all their strength, And of their wonted vigour left them drained, Exhausted, spiritless, afflicted, fallen. Yet half his strength he put not forth, but checked His thunder in mid volley; for he meant Not to destroy, but root them out of Heaven: The overthrown he raised, and as a herd Of goats or timorous flock together thronged Drove them before him thunder-struck, pursued With terrours, and with furies, to the bounds And crystal wall of Heaven; which, opening wide, Rolled inward, and a spacious gap disclosed Into the wasteful deep: The monstrous sight Struck them with horrour backward, but far worse Urged them behind: Headlong themselves they threw Down from the verge of Heaven; eternal wrath Burnt after them to the bottomless pit. Hell heard the unsufferable noise, Hell saw Heaven ruining from Heaven, and would have fled Affrighted; but strict Fate had cast too deep Her dark foundations, and too fast had bound. Nine days they fell: Confounded Chaos roared, And felt tenfold confusion in their fall Through his wild anarchy, so huge a rout Incumbered him with ruin: Hell at last Yawning received them whole, and on them closed; Hell, their fit habitation, fraught with fire Unquenchable, the house of woe and pain. Disburdened Heaven rejoiced, and soon repaired Her mural breach, returning whence it rolled. Sole victor, from the expulsion of his foes, Messiah his triumphal chariot turned: To meet him all his Saints, who silent stood Eye-witnesses of his almighty acts, With jubilee advanced; and, as they went, Shaded with branching palm, each Order bright, Sung triumph, and him sung victorious King, Son, Heir, and Lord, to him dominion given, Worthiest to reign: He, celebrated, rode Triumphant through mid Heaven, into the courts And temple of his Mighty Father throned On high; who into glory him received, Where now he sits at the right hand of bliss. Thus, measuring things in Heaven by things on Earth, At thy request, and that thou mayest beware By what is past, to thee I have revealed What might have else to human race been hid; The discord which befel, and war in Heaven Among the angelick Powers, and the deep fall Of those too high aspiring, who rebelled With Satan; he who envies now thy state, Who now is plotting how he may seduce Thee also from obedience, that, with him Bereaved of happiness, thou mayest partake His punishment, eternal misery; Which would be all his solace and revenge, As a despite done against the Most High, Thee once to gain companion of his woe. But listen not to his temptations, warn Thy weaker; let it profit thee to have heard, By terrible example, the reward Of disobedience; firm they might have stood, Yet fell; remember, and fear to transgress. Book VII Descend from Heaven, Urania, by that name If rightly thou art called, whose voice divine Following, above the Olympian hill I soar, Above the flight of Pegasean wing! The meaning, not the name, I call: for thou Nor of the Muses nine, nor on the top Of old Olympus dwellest; but, heavenly-born, Before the hills appeared, or fountain flowed, Thou with eternal Wisdom didst converse, Wisdom thy sister, and with her didst play In presence of the Almighty Father, pleased With thy celestial song. Up led by thee Into the Heaven of Heavens I have presumed, An earthly guest, and drawn empyreal air, Thy tempering: with like safety guided down Return me to my native element: Lest from this flying steed unreined, (as once Bellerophon, though from a lower clime,) Dismounted, on the Aleian field I fall, Erroneous there to wander, and forlorn. Half yet remains unsung, but narrower bound Within the visible diurnal sphere; Standing on earth, not rapt above the pole, More safe I sing with mortal voice, unchanged To hoarse or mute, though fallen on evil days, On evil days though fallen, and evil tongues; In darkness, and with dangers compassed round, And solitude; yet not alone, while thou Visitest my slumbers nightly, or when morn Purples the east: still govern thou my song, Urania, and fit audience find, though few. But drive far off the barbarous dissonance Of Bacchus and his revellers, the race Of that wild rout that tore the Thracian bard In Rhodope, where woods and rocks had ears To rapture, till the savage clamour drowned Both harp and voice; nor could the Muse defend Her son. So fail not thou, who thee implores: For thou art heavenly, she an empty dream. Say, Goddess, what ensued when Raphael, The affable Arch-Angel, had forewarned Adam, by dire example, to beware Apostasy, by what befel in Heaven To those apostates; lest the like befall In Paradise to Adam or his race, Charged not to touch the interdicted tree, If they transgress, and slight that sole command, So easily obeyed amid the choice Of all tastes else to please their appetite, Though wandering. He, with his consorted Eve, The story heard attentive, and was filled With admiration and deep muse, to hear Of things so high and strange; things, to their thought So unimaginable, as hate in Heaven, And war so near the peace of God in bliss, With such confusion: but the evil, soon Driven back, redounded as a flood on those From whom it sprung; impossible to mix With blessedness. Whence Adam soon repealed The doubts that in his heart arose: and now Led on, yet sinless, with desire to know What nearer might concern him, how this world Of Heaven and Earth conspicuous first began; When, and whereof created; for what cause; What within Eden, or without, was done Before his memory; as one whose drouth Yet scarce allayed still eyes the current stream, Whose liquid murmur heard new thirst excites, Proceeded thus to ask his heavenly guest. Great things, and full of wonder in our ears, Far differing from this world, thou hast revealed, Divine interpreter! by favour sent Down from the empyrean, to forewarn Us timely of what might else have been our loss, Unknown, which human knowledge could not reach; For which to the infinitely Good we owe Immortal thanks, and his admonishment Receive, with solemn purpose to observe Immutably his sovran will, the end Of what we are. But since thou hast vouchsafed Gently, for our instruction, to impart Things above earthly thought, which yet concerned Our knowing, as to highest wisdom seemed, Deign to descend now lower, and relate What may no less perhaps avail us known, How first began this Heaven which we behold Distant so high, with moving fires adorned Innumerable; and this which yields or fills All space, the ambient air wide interfused Embracing round this floried Earth; what cause Moved the Creator, in his holy rest Through all eternity, so late to build In Chaos; and the work begun, how soon Absolved; if unforbid thou mayest unfold What we, not to explore the secrets ask Of his eternal empire, but the more To magnify his works, the more we know. And the great light of day yet wants to run Much of his race though steep; suspense in Heaven, Held by thy voice, thy potent voice, he hears, And longer will delay to hear thee tell His generation, and the rising birth Of Nature from the unapparent Deep: Or if the star of evening and the moon Haste to thy audience, Night with her will bring, Silence; and Sleep, listening to thee, will watch; Or we can bid his absence, till thy song End, and dismiss thee ere the morning shine. Thus Adam his illustrious guest besought: And thus the Godlike Angel answered mild. This also thy request, with caution asked, Obtain; though to recount almighty works What words or tongue of Seraph can suffice, Or heart of man suffice to comprehend? Yet what thou canst attain, which best may serve To glorify the Maker, and infer Thee also happier, shall not be withheld Thy hearing; such commission from above I have received, to answer thy desire Of knowledge within bounds; beyond, abstain To ask; nor let thine own inventions hope Things not revealed, which the invisible King, Only Omniscient, hath suppressed in night; To none communicable in Earth or Heaven: Enough is left besides to search and know. But knowledge is as food, and needs no less Her temperance over appetite, to know In measure what the mind may well contain; Oppresses else with surfeit, and soon turns Wisdom to folly, as nourishment to wind. Know then, that, after Lucifer from Heaven (So call him, brighter once amidst the host Of Angels, than that star the stars among,) Fell with his flaming legions through the deep Into his place, and the great Son returned Victorious with his Saints, the Omnipotent Eternal Father from his throne beheld Their multitude, and to his Son thus spake. At least our envious Foe hath failed, who thought All like himself rebellious, by whose aid This inaccessible high strength, the seat Of Deity supreme, us dispossessed, He trusted to have seised, and into fraud Drew many, whom their place knows here no more: Yet far the greater part have kept, I see, Their station; Heaven, yet populous, retains Number sufficient to possess her realms Though wide, and this high temple to frequent With ministeries due, and solemn rites: But, lest his heart exalt him in the harm Already done, to have dispeopled Heaven, My damage fondly deemed, I can repair That detriment, if such it be to lose Self-lost; and in a moment will create Another world, out of one man a race Of men innumerable, there to dwell, Not here; till, by degrees of merit raised, They open to themselves at length the way Up hither, under long obedience tried; And Earth be changed to Heaven, and Heaven to Earth, One kingdom, joy and union without end. Mean while inhabit lax, ye Powers of Heaven; And thou my Word, begotten Son, by thee This I perform; speak thou, and be it done! My overshadowing Spirit and Might with thee I send along; ride forth, and bid the Deep Within appointed bounds be Heaven and Earth; Boundless the Deep, because I Am who fill Infinitude, nor vacuous the space. Though I, uncircumscribed myself, retire, And put not forth my goodness, which is free To act or not, Necessity and Chance Approach not me, and what I will is Fate. So spake the Almighty, and to what he spake His Word, the Filial Godhead, gave effect. Immediate are the acts of God, more swift Than time or motion, but to human ears Cannot without process of speech be told, So told as earthly notion can receive. Great triumph and rejoicing was in Heaven, When such was heard declared the Almighty's will; Glory they sung to the Most High, good will To future men, and in their dwellings peace; Glory to Him, whose just avenging ire Had driven out the ungodly from his sight And the habitations of the just; to Him Glory and praise, whose wisdom had ordained Good out of evil to create; instead Of Spirits malign, a better race to bring Into their vacant room, and thence diffuse His good to worlds and ages infinite. So sang the Hierarchies: Mean while the Son On his great expedition now appeared, Girt with Omnipotence, with radiance crowned Of Majesty Divine; sapience and love Immense, and all his Father in him shone. About his chariot numberless were poured Cherub, and Seraph, Potentates, and Thrones, And Virtues, winged Spirits, and chariots winged From the armoury of God; where stand of old Myriads, between two brazen mountains lodged Against a solemn day, harnessed at hand, Celestial equipage; and now came forth Spontaneous, for within them Spirit lived, Attendant on their Lord: Heaven opened wide Her ever-during gates, harmonious sound On golden hinges moving, to let forth The King of Glory, in his powerful Word And Spirit, coming to create new worlds. On heavenly ground they stood; and from the shore They viewed the vast immeasurable abyss Outrageous as a sea, dark, wasteful, wild, Up from the bottom turned by furious winds And surging waves, as mountains, to assault Heaven's highth, and with the center mix the pole. Silence, ye troubled Waves, and thou Deep, peace, Said then the Omnifick Word; your discord end! Nor staid; but, on the wings of Cherubim Uplifted, in paternal glory rode Far into Chaos, and the world unborn; For Chaos heard his voice: Him all his train Followed in bright procession, to behold Creation, and the wonders of his might. Then staid the fervid wheels, and in his hand He took the golden compasses, prepared In God's eternal store, to circumscribe This universe, and all created things: One foot he centered, and the other turned Round through the vast profundity obscure; And said, Thus far extend, thus far thy bounds, This be thy just circumference, O World! Thus God the Heaven created, thus the Earth, Matter unformed and void: Darkness profound Covered the abyss: but on the watery calm His brooding wings the Spirit of God outspread, And vital virtue infused, and vital warmth Throughout the fluid mass; but downward purged The black tartareous cold infernal dregs, Adverse to life: then founded, then conglobed Like things to like; the rest to several place Disparted, and between spun out the air; And Earth self-balanced on her center hung. Let there be light, said God; and forthwith Light Ethereal, first of things, quintessence pure, Sprung from the deep; and from her native east To journey through the aery gloom began, Sphered in a radiant cloud, for yet the sun Was not; she in a cloudy tabernacle Sojourned the while. God saw the light was good; And light from darkness by the hemisphere Divided: light the Day, and darkness Night, He named. Thus was the first day even and morn: Nor past uncelebrated, nor unsung By the celestial quires, when orient light Exhaling first from darkness they beheld; Birth-day of Heaven and Earth; with joy and shout The hollow universal orb they filled, And touched their golden harps, and hymning praised God and his works; Creator him they sung, Both when first evening was, and when first morn. Again, God said, Let there be firmament Amid the waters, and let it divide The waters from the waters; and God made The firmament, expanse of liquid, pure, Transparent, elemental air, diffused In circuit to the uttermost convex Of this great round; partition firm and sure, The waters underneath from those above Dividing: for as earth, so he the world Built on circumfluous waters calm, in wide Crystalline ocean, and the loud misrule Of Chaos far removed; lest fierce extremes Contiguous might distemper the whole frame: And Heaven he named the Firmament: So even And morning chorus sung the second day. The Earth was formed, but in the womb as yet Of waters, embryon immature involved, Appeared not: over all the face of Earth Main ocean flowed, not idle; but, with warm Prolifick humour softening all her globe, Fermented the great mother to conceive, Satiate with genial moisture; when God said, Be gathered now ye waters under Heaven Into one place, and let dry land appear. Immediately the mountains huge appear Emergent, and their broad bare backs upheave Into the clouds; their tops ascend the sky: So high as heaved the tumid hills, so low Down sunk a hollow bottom broad and deep, Capacious bed of waters: Thither they Hasted with glad precipitance, uprolled, As drops on dust conglobing from the dry: Part rise in crystal wall, or ridge direct, For haste; such flight the great command impressed On the swift floods: As armies at the call Of trumpet (for of armies thou hast heard) Troop to their standard; so the watery throng, Wave rolling after wave, where way they found, If steep, with torrent rapture, if through plain, Soft-ebbing; nor withstood them rock or hill; But they, or under ground, or circuit wide With serpent errour wandering, found their way, And on the washy oose deep channels wore; Easy, ere God had bid the ground be dry, All but within those banks, where rivers now Stream, and perpetual draw their humid train. The dry land, Earth; and the great receptacle Of congregated waters, he called Seas: And saw that it was good; and said, Let the Earth Put forth the verdant grass, herb yielding seed, And fruit-tree yielding fruit after her kind, Whose seed is in herself upon the Earth. He scarce had said, when the bare Earth, till then Desart and bare, unsightly, unadorned, Brought forth the tender grass, whose verdure clad Her universal face with pleasant green; Then herbs of every leaf, that sudden flowered Opening their various colours, and made gay Her bosom, smelling sweet: and, these scarce blown, Forth flourished thick the clustering vine, forth crept The swelling gourd, up stood the corny reed Embattled in her field, and the humble shrub, And bush with frizzled hair implicit: Last Rose, as in dance, the stately trees, and spread Their branches hung with copious fruit, or gemmed Their blossoms: With high woods the hills were crowned; With tufts the valleys, and each fountain side; With borders long the rivers: that Earth now Seemed like to Heaven, a seat where Gods might dwell, Or wander with delight, and love to haunt Her sacred shades: though God had yet not rained Upon the Earth, and man to till the ground None was; but from the Earth a dewy mist Went up, and watered all the ground, and each Plant of the field; which, ere it was in the Earth, God made, and every herb, before it grew On the green stem: God saw that it was good: So even and morn recorded the third day. Again the Almighty spake, Let there be lights High in the expanse of Heaven, to divide The day from night; and let them be for signs, For seasons, and for days, and circling years; And let them be for lights, as I ordain Their office in the firmament of Heaven, To give light on the Earth; and it was so. And God made two great lights, great for their use To Man, the greater to have rule by day, The less by night, altern; and made the stars, And set them in the firmament of Heaven To illuminate the Earth, and rule the day In their vicissitude, and rule the night, And light from darkness to divide. God saw, Surveying his great work, that it was good: For of celestial bodies first the sun A mighty sphere he framed, unlightsome first, Though of ethereal mould: then formed the moon Globose, and every magnitude of stars, And sowed with stars the Heaven, thick as a field: Of light by far the greater part he took, Transplanted from her cloudy shrine, and placed In the sun's orb, made porous to receive And drink the liquid light; firm to retain Her gathered beams, great palace now of light. Hither, as to their fountain, other stars Repairing, in their golden urns draw light, And hence the morning-planet gilds her horns; By tincture or reflection they augment Their small peculiar, though from human sight So far remote, with diminution seen, First in his east the glorious lamp was seen, Regent of day, and all the horizon round Invested with bright rays, jocund to run His longitude through Heaven's high road; the gray Dawn, and the Pleiades, before him danced, Shedding sweet influence: Less bright the moon, But opposite in levelled west was set, His mirrour, with full face borrowing her light From him; for other light she needed none In that aspect, and still that distance keeps Till night; then in the east her turn she shines, Revolved on Heaven's great axle, and her reign With thousand lesser lights dividual holds, With thousand thousand stars, that then appeared Spangling the hemisphere: Then first adorned With their bright luminaries that set and rose, Glad evening and glad morn crowned the fourth day. And God said, Let the waters generate Reptile with spawn abundant, living soul: And let fowl fly above the Earth, with wings Displayed on the open firmament of Heaven. And God created the great whales, and each Soul living, each that crept, which plenteously The waters generated by their kinds; And every bird of wing after his kind; And saw that it was good, and blessed them, saying. Be fruitful, multiply, and in the seas, And lakes, and running streams, the waters fill; And let the fowl be multiplied, on the Earth. Forthwith the sounds and seas, each creek and bay, With fry innumerable swarm, and shoals Of fish that with their fins, and shining scales, Glide under the green wave, in sculls that oft Bank the mid sea: part single, or with mate, Graze the sea-weed their pasture, and through groves Of coral stray; or, sporting with quick glance, Show to the sun their waved coats dropt with gold; Or, in their pearly shells at ease, attend Moist nutriment; or under rocks their food In jointed armour watch: on smooth the seal And bended dolphins play: part huge of bulk Wallowing unwieldy, enormous in their gait, Tempest the ocean: there leviathan, Hugest of living creatures, on the deep Stretched like a promontory sleeps or swims, And seems a moving land; and at his gills Draws in, and at his trunk spouts out, a sea. Mean while the tepid caves, and fens, and shores, Their brood as numerous hatch, from the egg that soon Bursting with kindly rupture forth disclosed Their callow young; but feathered soon and fledge They summed their pens; and, soaring the air sublime, With clang despised the ground, under a cloud In prospect; there the eagle and the stork On cliffs and cedar tops their eyries build: Part loosely wing the region, part more wise In common, ranged in figure, wedge their way, Intelligent of seasons, and set forth Their aery caravan, high over seas Flying, and over lands, with mutual wing Easing their flight; so steers the prudent crane Her annual voyage, borne on winds; the air Floats as they pass, fanned with unnumbered plumes: From branch to branch the smaller birds with song Solaced the woods, and spread their painted wings Till even; nor then the solemn nightingale Ceased warbling, but all night tun'd her soft lays: Others, on silver lakes and rivers, bathed Their downy breast; the swan with arched neck, Between her white wings mantling proudly, rows Her state with oary feet; yet oft they quit The dank, and, rising on stiff pennons, tower The mid aereal sky: Others on ground Walked firm; the crested cock whose clarion sounds The silent hours, and the other whose gay train Adorns him, coloured with the florid hue Of rainbows and starry eyes. The waters thus With fish replenished, and the air with fowl, Evening and morn solemnized the fifth day. The sixth, and of creation last, arose With evening harps and matin; when God said, Let the Earth bring forth soul living in her kind, Cattle, and creeping things, and beast of the Earth, Each in their kind. The Earth obeyed, and straight Opening her fertile womb teemed at a birth Innumerous living creatures, perfect forms, Limbed and full grown: Out of the ground up rose, As from his lair, the wild beast where he wons In forest wild, in thicket, brake, or den; Among the trees in pairs they rose, they walked: The cattle in the fields and meadows green: Those rare and solitary, these in flocks Pasturing at once, and in broad herds upsprung. The grassy clods now calved; now half appeared The tawny lion, pawing to get free His hinder parts, then springs as broke from bonds, And rampant shakes his brinded mane; the ounce, The libbard, and the tiger, as the mole Rising, the crumbled earth above them threw In hillocks: The swift stag from under ground Bore up his branching head: Scarce from his mould Behemoth biggest born of earth upheaved His vastness: Fleeced the flocks and bleating rose, As plants: Ambiguous between sea and land The river-horse, and scaly crocodile. At once came forth whatever creeps the ground, Insect or worm: those waved their limber fans For wings, and smallest lineaments exact In all the liveries decked of summer's pride With spots of gold and purple, azure and green: These, as a line, their long dimension drew, Streaking the ground with sinuous trace; not all Minims of nature; some of serpent-kind, Wonderous in length and corpulence, involved Their snaky folds, and added wings. First crept The parsimonious emmet, provident Of future; in small room large heart enclosed; Pattern of just equality perhaps Hereafter, joined in her popular tribes Of commonalty: Swarming next appeared The female bee, that feeds her husband drone Deliciously, and builds her waxen cells With honey stored: The rest are numberless, And thou their natures knowest, and gavest them names, Needless to thee repeated; nor unknown The serpent, subtlest beast of all the field, Of huge extent sometimes, with brazen eyes And hairy mane terrifick, though to thee Not noxious, but obedient at thy call. Now Heaven in all her glory shone, and rolled Her motions, as the great first Mover's hand First wheeled their course: Earth in her rich attire Consummate lovely smiled; air, water, earth, By fowl, fish, beast, was flown, was swum, was walked, Frequent; and of the sixth day yet remained: There wanted yet the master-work, the end Of all yet done; a creature, who, not prone And brute as other creatures, but endued With sanctity of reason, might erect His stature, and upright with front serene Govern the rest, self-knowing; and from thence Magnanimous to correspond with Heaven, But grateful to acknowledge whence his good Descends, thither with heart, and voice, and eyes Directed in devotion, to adore And worship God Supreme, who made him chief Of all his works: therefore the Omnipotent Eternal Father (for where is not he Present?) thus to his Son audibly spake. Let us make now Man in our image, Man In our similitude, and let them rule Over the fish and fowl of sea and air, Beast of the field, and over all the Earth, And every creeping thing that creeps the ground. This said, he formed thee, Adam, thee, O Man, Dust of the ground, and in thy nostrils breathed The breath of life; in his own image he Created thee, in the image of God Express; and thou becamest a living soul. Male he created thee; but thy consort Female, for race; then blessed mankind, and said, Be fruitful, multiply, and fill the Earth; Subdue it, and throughout dominion hold Over fish of the sea, and fowl of the air, And every living thing that moves on the Earth. Wherever thus created, for no place Is yet distinct by name, thence, as thou knowest, He brought thee into this delicious grove, This garden, planted with the trees of God, Delectable both to behold and taste; And freely all their pleasant fruit for food Gave thee; all sorts are here that all the Earth yields, Variety without end; but of the tree, Which, tasted, works knowledge of good and evil, Thou mayest not; in the day thou eatest, thou diest; Death is the penalty imposed; beware, And govern well thy appetite; lest Sin Surprise thee, and her black attendant Death. Here finished he, and all that he had made Viewed, and behold all was entirely good; So even and morn accomplished the sixth day: Yet not till the Creator from his work Desisting, though unwearied, up returned, Up to the Heaven of Heavens, his high abode; Thence to behold this new created world, The addition of his empire, how it showed In prospect from his throne, how good, how fair, Answering his great idea. Up he rode Followed with acclamation, and the sound Symphonious of ten thousand harps, that tuned Angelick harmonies: The earth, the air Resounded, (thou rememberest, for thou heardst,) The heavens and all the constellations rung, The planets in their station listening stood, While the bright pomp ascended jubilant. Open, ye everlasting gates! they sung, Open, ye Heavens! your living doors;let in The great Creator from his work returned Magnificent, his six days work, a World; Open, and henceforth oft; for God will deign To visit oft the dwellings of just men, Delighted; and with frequent intercourse Thither will send his winged messengers On errands of supernal grace. So sung The glorious train ascending: He through Heaven, That opened wide her blazing portals, led To God's eternal house direct the way; A broad and ample road, whose dust is gold And pavement stars, as stars to thee appear, Seen in the galaxy, that milky way, Which nightly, as a circling zone, thou seest Powdered with stars. And now on Earth the seventh Evening arose in Eden, for the sun Was set, and twilight from the east came on, Forerunning night; when at the holy mount Of Heaven's high-seated top, the imperial throne Of Godhead, fixed for ever firm and sure, The Filial Power arrived, and sat him down With his great Father; for he also went Invisible, yet staid, (such privilege Hath Omnipresence) and the work ordained, Author and End of all things; and, from work Now resting, blessed and hallowed the seventh day, As resting on that day from all his work, But not in silence holy kept: the harp Had work and rested not; the solemn pipe, And dulcimer, all organs of sweet stop, All sounds on fret by string or golden wire, Tempered soft tunings, intermixed with voice Choral or unison: of incense clouds, Fuming from golden censers, hid the mount. Creation and the six days acts they sung: Great are thy works, Jehovah! infinite Thy power! what thought can measure thee, or tongue Relate thee! Greater now in thy return Than from the giant Angels: Thee that day Thy thunders magnified; but to create Is greater than created to destroy. Who can impair thee, Mighty King, or bound Thy empire! Easily the proud attempt Of Spirits apostate, and their counsels vain, Thou hast repelled; while impiously they thought Thee to diminish, and from thee withdraw The number of thy worshippers. Who seeks To lessen thee, against his purpose serves To manifest the more thy might: his evil Thou usest, and from thence createst more good. Witness this new-made world, another Heaven From Heaven-gate not far, founded in view On the clear hyaline, the glassy sea; Of amplitude almost immense, with stars Numerous, and every star perhaps a world Of destined habitation; but thou knowest Their seasons: among these the seat of Men, Earth, with her nether ocean circumfused, Their pleasant dwelling-place. Thrice happy Men, And sons of Men, whom God hath thus advanced! Created in his image, there to dwell And worship him; and in reward to rule Over his works, on earth, in sea, or air, And multiply a race of worshippers Holy and just: Thrice happy, if they know Their happiness, and persevere upright! So sung they, and the empyrean rung With halleluiahs: Thus was sabbath kept. And thy request think now fulfilled, that asked How first this world and face of things began, And what before thy memory was done From the beginning; that posterity, Informed by thee, might know: If else thou seekest Aught, not surpassing human measure, say. Book VIII The Angel ended, and in Adam's ear So charming left his voice, that he a while Thought him still speaking, still stood fixed to hear; Then, as new waked, thus gratefully replied. What thanks sufficient, or what recompence Equal, have I to render thee, divine Historian, who thus largely hast allayed The thirst I had of knowledge, and vouchsafed This friendly condescension to relate Things, else by me unsearchable; now heard With wonder, but delight, and, as is due, With glory attributed to the high Creator! Something yet of doubt remains, Which only thy solution can resolve. When I behold this goodly frame, this world, Of Heaven and Earth consisting; and compute Their magnitudes; this Earth, a spot, a grain, An atom, with the firmament compared And all her numbered stars, that seem to roll Spaces incomprehensible, (for such Their distance argues, and their swift return Diurnal,) merely to officiate light Round this opacous Earth, this punctual spot, One day and night; in all her vast survey Useless besides; reasoning I oft admire, How Nature wise and frugal could commit Such disproportions, with superfluous hand So many nobler bodies to create, Greater so manifold, to this one use, For aught appears, and on their orbs impose Such restless revolution day by day Repeated; while the sedentary Earth, That better might with far less compass move, Served by more noble than herself, attains Her end without least motion, and receives, As tribute, such a sumless journey brought Of incorporeal speed, her warmth and light; Speed, to describe whose swiftness number fails. So spake our sire, and by his countenance seemed Entering on studious thoughts abstruse; which Eve Perceiving, where she sat retired in sight, With lowliness majestick from her seat, And grace that won who saw to wish her stay, Rose, and went forth among her fruits and flowers, To visit how they prospered, bud and bloom, Her nursery; they at her coming sprung, And, touched by her fair tendance, gladlier grew. Yet went she not, as not with such discourse Delighted, or not capable her ear Of what was high: such pleasure she reserved, Adam relating, she sole auditress; Her husband the relater she preferred Before the Angel, and of him to ask Chose rather; he, she knew, would intermix Grateful digressions, and solve high dispute With conjugal caresses: from his lip Not words alone pleased her. O! when meet now Such pairs, in love and mutual honour joined? With Goddess-like demeanour forth she went, Not unattended; for on her, as Queen, A pomp of winning Graces waited still, And from about her shot darts of desire Into all eyes, to wish her still in sight. And Raphael now, to Adam's doubt proposed, Benevolent and facile thus replied. To ask or search, I blame thee not; for Heaven Is as the book of God before thee set, Wherein to read his wonderous works, and learn His seasons, hours, or days, or months, or years: This to attain, whether Heaven move or Earth, Imports not, if thou reckon right; the rest From Man or Angel the great Architect Did wisely to conceal, and not divulge His secrets to be scanned by them who ought Rather admire; or, if they list to try Conjecture, he his fabrick of the Heavens Hath left to their disputes, perhaps to move His laughter at their quaint opinions wide Hereafter; when they come to model Heaven And calculate the stars, how they will wield The mighty frame; how build, unbuild, contrive To save appearances; how gird the sphere With centrick and eccentrick scribbled o'er, Cycle and epicycle, orb in orb: Already by thy reasoning this I guess, Who art to lead thy offspring, and supposest That bodies bright and greater should not serve The less not bright, nor Heaven such journeys run, Earth sitting still, when she alone receives The benefit: Consider first, that great Or bright infers not excellence: the Earth Though, in comparison of Heaven, so small, Nor glistering, may of solid good contain More plenty than the sun that barren shines; Whose virtue on itself works no effect, But in the fruitful Earth; there first received, His beams, unactive else, their vigour find. Yet not to Earth are those bright luminaries Officious; but to thee, Earth's habitant. And for the Heaven's wide circuit, let it speak The Maker's high magnificence, who built So spacious, and his line stretched out so far; That Man may know he dwells not in his own; An edifice too large for him to fill, Lodged in a small partition; and the rest Ordained for uses to his Lord best known. The swiftness of those circles attribute, Though numberless, to his Omnipotence, That to corporeal substances could add Speed almost spiritual: Me thou thinkest not slow, Who since the morning-hour set out from Heaven Where God resides, and ere mid-day arrived In Eden; distance inexpressible By numbers that have name. But this I urge, Admitting motion in the Heavens, to show Invalid that which thee to doubt it moved; Not that I so affirm, though so it seem To thee who hast thy dwelling here on Earth. God, to remove his ways from human sense, Placed Heaven from Earth so far, that earthly sight, If it presume, might err in things too high, And no advantage gain. What if the sun Be center to the world; and other stars, By his attractive virtue and their own Incited, dance about him various rounds? Their wandering course now high, now low, then hid, Progressive, retrograde, or standing still, In six thou seest; and what if seventh to these The planet earth, so stedfast though she seem, Insensibly three different motions move? Which else to several spheres thou must ascribe, Moved contrary with thwart obliquities; Or save the sun his labour, and that swift Nocturnal and diurnal rhomb supposed, Invisible else above all stars, the wheel Of day and night; which needs not thy belief, If earth, industrious of herself, fetch day Travelling east, and with her part averse From the sun's beam meet night, her other part Still luminous by his ray. What if that light, Sent from her through the wide transpicuous air, To the terrestrial moon be as a star, Enlightening her by day, as she by night This earth? reciprocal, if land be there, Fields and inhabitants: Her spots thou seest As clouds, and clouds may rain, and rain produce Fruits in her softened soil for some to eat Allotted there; and other suns perhaps, With their attendant moons, thou wilt descry, Communicating male and female light; Which two great sexes animate the world, Stored in each orb perhaps with some that live. For such vast room in Nature unpossessed By living soul, desart and desolate, Only to shine, yet scarce to contribute Each orb a glimpse of light, conveyed so far Down to this habitable, which returns Light back to them, is obvious to dispute. But whether thus these things, or whether not; But whether the sun, predominant in Heaven, Rise on the earth; or earth rise on the sun; He from the east his flaming road begin; Or she from west her silent course advance, With inoffensive pace that spinning sleeps On her soft axle, while she paces even, And bears thee soft with the smooth hair along; Sollicit not thy thoughts with matters hid; Leave them to God above; him serve, and fear! Of other creatures, as him pleases best, Wherever placed, let him dispose; joy thou In what he gives to thee, this Paradise And thy fair Eve; Heaven is for thee too high To know what passes there; be lowly wise: Think only what concerns thee, and thy being; Dream not of other worlds, what creatures there Live, in what state, condition, or degree; Contented that thus far hath been revealed Not of Earth only, but of highest Heaven. To whom thus Adam, cleared of doubt, replied. How fully hast thou satisfied me, pure Intelligence of Heaven, Angel serene! And, freed from intricacies, taught to live The easiest way; nor with perplexing thoughts To interrupt the sweet of life, from which God hath bid dwell far off all anxious cares, And not molest us; unless we ourselves Seek them with wandering thoughts, and notions vain. But apt the mind or fancy is to rove Unchecked, and of her roving is no end; Till warned, or by experience taught, she learn, That, not to know at large of things remote From use, obscure and subtle; but, to know That which before us lies in daily life, Is the prime wisdom: What is more, is fume, Or emptiness, or fond impertinence: And renders us, in things that most concern, Unpractised, unprepared, and still to seek. Therefore from this high pitch let us descend A lower flight, and speak of things at hand Useful; whence, haply, mention may arise Of something not unseasonable to ask, By sufferance, and thy wonted favour, deigned. Thee I have heard relating what was done Ere my remembrance: now, hear me relate My story, which perhaps thou hast not heard; And day is not yet spent; till then thou seest How subtly to detain thee I devise; Inviting thee to hear while I relate; Fond! were it not in hope of thy reply: For, while I sit with thee, I seem in Heaven; And sweeter thy discourse is to my ear Than fruits of palm-tree pleasantest to thirst And hunger both, from labour, at the hour Of sweet repast; they satiate, and soon fill, Though pleasant; but thy words, with grace divine Imbued, bring to their sweetness no satiety. To whom thus Raphael answered heavenly meek. Nor are thy lips ungraceful, Sire of men, Nor tongue ineloquent; for God on thee Abundantly his gifts hath also poured Inward and outward both, his image fair: Speaking, or mute, all comeliness and grace Attends thee; and each word, each motion, forms; Nor less think we in Heaven of thee on Earth Than of our fellow-servant, and inquire Gladly into the ways of God with Man: For God, we see, hath honoured thee, and set On Man his equal love: Say therefore on; For I that day was absent, as befel, Bound on a voyage uncouth and obscure, Far on excursion toward the gates of Hell; Squared in full legion (such command we had) To see that none thence issued forth a spy, Or enemy, while God was in his work; Lest he, incensed at such eruption bold, Destruction with creation might have mixed. Not that they durst without his leave attempt; But us he sends upon his high behests For state, as Sovran King; and to inure Our prompt obedience. Fast we found, fast shut, The dismal gates, and barricadoed strong; But long ere our approaching heard within Noise, other than the sound of dance or song, Torment, and loud lament, and furious rage. Glad we returned up to the coasts of light Ere sabbath-evening: so we had in charge. But thy relation now; for I attend, Pleased with thy words no less than thou with mine. So spake the Godlike Power, and thus our Sire. For Man to tell how human life began Is hard; for who himself beginning knew Desire with thee still longer to converse Induced me. As new waked from soundest sleep, Soft on the flowery herb I found me laid, In balmy sweat; which with his beams the sun Soon dried, and on the reeking moisture fed. Straight toward Heaven my wondering eyes I turned, And gazed a while the ample sky; till, raised By quick instinctive motion, up I sprung, As thitherward endeavouring, and upright Stood on my feet: about me round I saw Hill, dale, and shady woods, and sunny plains, And liquid lapse of murmuring streams; by these, Creatures that lived and moved, and walked, or flew; Birds on the branches warbling; all things smiled; With fragrance and with joy my heart o'erflowed. Myself I then perused, and limb by limb Surveyed, and sometimes went, and sometimes ran With supple joints, as lively vigour led: But who I was, or where, or from what cause, Knew not; to speak I tried, and forthwith spake; My tongue obeyed, and readily could name Whate'er I saw. Thou Sun, said I, fair light, And thou enlightened Earth, so fresh and gay, Ye Hills, and Dales, ye Rivers, Woods, and Plains, And ye that live and move, fair Creatures, tell, Tell, if ye saw, how I came thus, how here?-- Not of myself;--by some great Maker then, In goodness and in power pre-eminent: Tell me, how may I know him, how adore, From whom I have that thus I move and live, And feel that I am happier than I know.-- While thus I called, and strayed I knew not whither, From where I first drew air, and first beheld This happy light; when, answer none returned, On a green shady bank, profuse of flowers, Pensive I sat me down: There gentle sleep First found me, and with soft oppression seised My droused sense, untroubled, though I thought I then was passing to my former state Insensible, and forthwith to dissolve: When suddenly stood at my head a dream, Whose inward apparition gently moved My fancy to believe I yet had being, And lived: One came, methought, of shape divine, And said, 'Thy mansion wants thee, Adam; rise, 'First Man, of men innumerable ordained 'First Father! called by thee, I come thy guide 'To the garden of bliss, thy seat prepared.' So saying, by the hand he took me raised, And over fields and waters, as in air Smooth-sliding without step, last led me up A woody mountain; whose high top was plain, A circuit wide, enclosed, with goodliest trees Planted, with walks, and bowers; that what I saw Of Earth before scarce pleasant seemed. Each tree, Loaden with fairest fruit that hung to the eye Tempting, stirred in me sudden appetite To pluck and eat; whereat I waked, and found Before mine eyes all real, as the dream Had lively shadowed: Here had new begun My wandering, had not he, who was my guide Up hither, from among the trees appeared, Presence Divine. Rejoicing, but with awe, In adoration at his feet I fell Submiss: He reared me, and 'Whom thou soughtest I am,' Said mildly, 'Author of all this thou seest 'Above, or round about thee, or beneath. 'This Paradise I give thee, count it thine 'To till and keep, and of the fruit to eat: 'Of every tree that in the garden grows 'Eat freely with glad heart; fear here no dearth: 'But of the tree whose operation brings 'Knowledge of good and ill, which I have set 'The pledge of thy obedience and thy faith, 'Amid the garden by the tree of life, 'Remember what I warn thee, shun to taste, 'And shun the bitter consequence: for know, 'The day thou eatest thereof, my sole command 'Transgressed, inevitably thou shalt die, 'From that day mortal; and this happy state 'Shalt lose, expelled from hence into a world 'Of woe and sorrow.' Sternly he pronounced The rigid interdiction, which resounds Yet dreadful in mine ear, though in my choice Not to incur; but soon his clear aspect Returned, and gracious purpose thus renewed. 'Not only these fair bounds, but all the Earth 'To thee and to thy race I give; as lords 'Possess it, and all things that therein live, 'Or live in sea, or air; beast, fish, and fowl. 'In sign whereof, each bird and beast behold 'After their kinds; I bring them to receive 'From thee their names, and pay thee fealty 'With low subjection; understand the same 'Of fish within their watery residence, 'Not hither summoned, since they cannot change 'Their element, to draw the thinner air.' As thus he spake, each bird and beast behold Approaching two and two; these cowering low With blandishment; each bird stooped on his wing. I named them, as they passed, and understood Their nature, with such knowledge God endued My sudden apprehension: But in these I found not what methought I wanted still; And to the heavenly Vision thus presumed. O, by what name, for thou above all these, Above mankind, or aught than mankind higher, Surpassest far my naming; how may I Adore thee, Author of this universe, And all this good to man? for whose well being So amply, and with hands so liberal, Thou hast provided all things: But with me I see not who partakes. In solitude What happiness, who can enjoy alone, Or, all enjoying, what contentment find? Thus I presumptuous; and the Vision bright, As with a smile more brightened, thus replied. What callest thou solitude? Is not the Earth With various living creatures, and the air Replenished, and all these at thy command To come and play before thee? Knowest thou not Their language and their ways? They also know, And reason not contemptibly: With these Find pastime, and bear rule; thy realm is large. So spake the Universal Lord, and seemed So ordering: I, with leave of speech implored, And humble deprecation, thus replied. Let not my words offend thee, Heavenly Power; My Maker, be propitious while I speak. Hast thou not made me here thy substitute, And these inferiour far beneath me set? Among unequals what society Can sort, what harmony, or true delight? Which must be mutual, in proportion due Given and received; but, in disparity The one intense, the other still remiss, Cannot well suit with either, but soon prove Tedious alike: Of fellowship I speak Such as I seek, fit to participate All rational delight: wherein the brute Cannot be human consort: They rejoice Each with their kind, lion with lioness; So fitly them in pairs thou hast combined: Much less can bird with beast, or fish with fowl So well converse, nor with the ox the ape; Worse then can man with beast, and least of all. Whereto the Almighty answered, not displeased. A nice and subtle happiness, I see, Thou to thyself proposest, in the choice Of thy associates, Adam! and wilt taste No pleasure, though in pleasure, solitary. What thinkest thou then of me, and this my state? Seem I to thee sufficiently possessed Of happiness, or not? who am alone From all eternity; for none I know Second to me or like, equal much less. How have I then with whom to hold converse, Save with the creatures which I made, and those To me inferiour, infinite descents Beneath what other creatures are to thee? He ceased; I lowly answered. To attain The highth and depth of thy eternal ways All human thoughts come short, Supreme of things! Thou in thyself art perfect, and in thee Is no deficience found: Not so is Man, But in degree; the cause of his desire By conversation with his like to help Or solace his defects. No need that thou Shouldst propagate, already Infinite; And through all numbers absolute, though One: But Man by number is to manifest His single imperfection, and beget Like of his like, his image multiplied, In unity defective; which requires Collateral love, and dearest amity. Thou in thy secresy although alone, Best with thyself accompanied, seekest not Social communication; yet, so pleased, Canst raise thy creature to what highth thou wilt Of union or communion, deified: I, by conversing, cannot these erect From prone; nor in their ways complacence find. Thus I emboldened spake, and freedom used Permissive, and acceptance found; which gained This answer from the gracious Voice Divine. Thus far to try thee, Adam, I was pleased; And find thee knowing, not of beasts alone, Which thou hast rightly named, but of thyself; Expressing well the spirit within thee free, My image, not imparted to the brute; Whose fellowship therefore unmeet for thee Good reason was thou freely shouldst dislike; And be so minded still: I, ere thou spakest, Knew it not good for Man to be alone; And no such company as then thou sawest Intended thee; for trial only brought, To see how thou couldest judge of fit and meet: What next I bring shall please thee, be assured, Thy likeness, thy fit help, thy other self, Thy wish exactly to thy heart's desire. He ended, or I heard no more; for now My earthly by his heavenly overpowered, Which it had long stood under, strained to the highth In that celestial colloquy sublime, As with an object that excels the sense Dazzled and spent, sunk down; and sought repair Of sleep, which instantly fell on me, called By Nature as in aid, and closed mine eyes. Mine eyes he closed, but open left the cell Of fancy, my internal sight; by which, Abstract as in a trance, methought I saw, Though sleeping, where I lay, and saw the shape Still glorious before whom awake I stood: Who stooping opened my left side, and took From thence a rib, with cordial spirits warm, And life-blood streaming fresh; wide was the wound, But suddenly with flesh filled up and healed: The rib he formed and fashioned with his hands; Under his forming hands a creature grew, Man-like, but different sex; so lovely fair, That what seemed fair in all the world, seemed now Mean, or in her summed up, in her contained And in her looks; which from that time infused Sweetness into my heart, unfelt before, And into all things from her air inspired The spirit of love and amorous delight. She disappeared, and left me dark; I waked To find her, or for ever to deplore Her loss, and other pleasures all abjure: When out of hope, behold her, not far off, Such as I saw her in my dream, adorned With what all Earth or Heaven could bestow To make her amiable: On she came, Led by her heavenly Maker, though unseen, And guided by his voice; nor uninformed Of nuptial sanctity, and marriage rites: Grace was in all her steps, Heaven in her eye, In every gesture dignity and love. I, overjoyed, could not forbear aloud. This turn hath made amends; thou hast fulfilled Thy words, Creator bounteous and benign, Giver of all things fair! but fairest this Of all thy gifts! nor enviest. I now see Bone of my bone, flesh of my flesh, myself Before me: Woman is her name;of Man Extracted: for this cause he shall forego Father and mother, and to his wife adhere; And they shall be one flesh, one heart, one soul. She heard me thus; and though divinely brought, Yet innocence, and virgin modesty, Her virtue, and the conscience of her worth, That would be wooed, and not unsought be won, Not obvious, not obtrusive, but, retired, The more desirable; or, to say all, Nature herself, though pure of sinful thought, Wrought in her so, that, seeing me, she turned: I followed her; she what was honour knew, And with obsequious majesty approved My pleaded reason. To the nuptial bower I led her blushing like the morn: All Heaven, And happy constellations, on that hour Shed their selectest influence; the Earth Gave sign of gratulation, and each hill; Joyous the birds; fresh gales and gentle airs Whispered it to the woods, and from their wings Flung rose, flung odours from the spicy shrub, Disporting, till the amorous bird of night Sung spousal, and bid haste the evening-star On his hill top, to light the bridal lamp. Thus have I told thee all my state, and brought My story to the sum of earthly bliss, Which I enjoy; and must confess to find In all things else delight indeed, but such As, used or not, works in the mind no change, Nor vehement desire; these delicacies I mean of taste, sight, smell, herbs, fruits, and flowers, Walks, and the melody of birds: but here Far otherwise, transported I behold, Transported touch; here passion first I felt, Commotion strange! in all enjoyments else Superiour and unmoved; here only weak Against the charm of Beauty's powerful glance. Or Nature failed in me, and left some part Not proof enough such object to sustain; Or, from my side subducting, took perhaps More than enough; at least on her bestowed Too much of ornament, in outward show Elaborate, of inward less exact. For well I understand in the prime end Of Nature her the inferiour, in the mind And inward faculties, which most excel; In outward also her resembling less His image who made both, and less expressing The character of that dominion given O'er other creatures: Yet when I approach Her loveliness, so absolute she seems And in herself complete, so well to know Her own, that what she wills to do or say, Seems wisest, virtuousest, discreetest, best: All higher knowledge in her presence falls Degraded; Wisdom in discourse with her Loses discountenanced, and like Folly shows; Authority and Reason on her wait, As one intended first, not after made Occasionally; and, to consummate all, Greatness of mind and Nobleness their seat Build in her loveliest, and create an awe About her, as a guard angelick placed. To whom the Angel with contracted brow. Accuse not Nature, she hath done her part; Do thou but thine; and be not diffident Of Wisdom; she deserts thee not, if thou Dismiss not her, when most thou needest her nigh, By attributing overmuch to things Less excellent, as thou thyself perceivest. For, what admirest thou, what transports thee so, An outside? fair, no doubt, and worthy well Thy cherishing, thy honouring, and thy love; Not thy subjection: Weigh with her thyself; Then value: Oft-times nothing profits more Than self-esteem, grounded on just and right Well managed; of that skill the more thou knowest, The more she will acknowledge thee her head, And to realities yield all her shows: Made so adorn for thy delight the more, So awful, that with honour thou mayest love Thy mate, who sees when thou art seen least wise. But if the sense of touch, whereby mankind Is propagated, seem such dear delight Beyond all other; think the same vouchsafed To cattle and each beast; which would not be To them made common and divulged, if aught Therein enjoyed were worthy to subdue The soul of man, or passion in him move. What higher in her society thou findest Attractive, human, rational, love still; In loving thou dost well, in passion not, Wherein true love consists not: Love refines The thoughts, and heart enlarges; hath his seat In reason, and is judicious; is the scale By which to heavenly love thou mayest ascend, Not sunk in carnal pleasure; for which cause, Among the beasts no mate for thee was found. To whom thus, half abashed, Adam replied. Neither her outside formed so fair, nor aught In procreation common to all kinds, (Though higher of the genial bed by far, And with mysterious reverence I deem,) So much delights me, as those graceful acts, Those thousand decencies, that daily flow From all her words and actions mixed with love And sweet compliance, which declare unfeigned Union of mind, or in us both one soul; Harmony to behold in wedded pair More grateful than harmonious sound to the ear. Yet these subject not; I to thee disclose What inward thence I feel, not therefore foiled, Who meet with various objects, from the sense Variously representing; yet, still free, Approve the best, and follow what I approve. To love, thou blamest me not; for Love, thou sayest, Leads up to Heaven, is both the way and guide; Bear with me then, if lawful what I ask: Love not the heavenly Spirits, and how their love Express they? by looks only? or do they mix Irradiance, virtual or immediate touch? To whom the Angel, with a smile that glowed Celestial rosy red, Love's proper hue, Answered. Let it suffice thee that thou knowest Us happy, and without love no happiness. Whatever pure thou in the body enjoyest, (And pure thou wert created) we enjoy In eminence; and obstacle find none Of membrane, joint, or limb, exclusive bars; Easier than air with air, if Spirits embrace, Total they mix, union of pure with pure Desiring, nor restrained conveyance need, As flesh to mix with flesh, or soul with soul. But I can now no more; the parting sun Beyond the Earth's green Cape and verdant Isles Hesperian sets, my signal to depart. Be strong, live happy, and love! But, first of all, Him, whom to love is to obey, and keep His great command; take heed lest passion sway Thy judgement to do aught, which else free will Would not admit: thine, and of all thy sons, The weal or woe in thee is placed; beware! I in thy persevering shall rejoice, And all the Blest: Stand fast;to stand or fall Free in thine own arbitrement it lies. Perfect within, no outward aid require; And all temptation to transgress repel. So saying, he arose; whom Adam thus Followed with benediction. Since to part, Go, heavenly guest, ethereal Messenger, Sent from whose sovran goodness I adore! Gentle to me and affable hath been Thy condescension, and shall be honoured ever With grateful memory: Thou to mankind Be good and friendly still, and oft return! So parted they; the Angel up to Heaven From the thick shade, and Adam to his bower. Book IX No more of talk where God or Angel guest With Man, as with his friend, familiar us'd, To sit indulgent, and with him partake Rural repast; permitting him the while Venial discourse unblam'd. I now must change Those notes to tragick; foul distrust, and breach Disloyal on the part of Man, revolt, And disobedience: on the part of Heaven Now alienated, distance and distaste, Anger and just rebuke, and judgement given, That brought into this world a world of woe, Sin and her shadow Death, and Misery Death's harbinger: Sad talk!yet argument Not less but more heroick than the wrath Of stern Achilles on his foe pursued Thrice fugitive about Troy wall; or rage Of Turnus for Lavinia disespous'd; Or Neptune's ire, or Juno's, that so long Perplexed the Greek, and Cytherea's son: 00482129 If answerable style I can obtain Of my celestial patroness, who deigns Her nightly visitation unimplor'd, And dictates to me slumbering; or inspires Easy my unpremeditated verse: Since first this subject for heroick song Pleas'd me long choosing, and beginning late; Not sedulous by nature to indite Wars, hitherto the only argument Heroick deem'd chief mastery to dissect With long and tedious havock fabled knights In battles feign'd; the better fortitude Of patience and heroick martyrdom Unsung; or to describe races and games, Or tilting furniture, imblazon'd shields, Impresses quaint, caparisons and steeds, Bases and tinsel trappings, gorgeous knights At joust and tournament; then marshall'd feast Serv'd up in hall with sewers and seneshals; The skill of artifice or office mean, Not that which justly gives heroick name To person, or to poem. Me, of these Nor skill'd nor studious, higher argument Remains; sufficient of itself to raise That name, unless an age too late, or cold Climate, or years, damp my intended wing Depress'd; and much they may, if all be mine, Not hers, who brings it nightly to my ear. The sun was sunk, and after him the star Of Hesperus, whose office is to bring Twilight upon the earth, short arbiter "twixt day and night, and now from end to end Night's hemisphere had veil'd the horizon round: When satan, who late fled before the threats Of Gabriel out of Eden, now improv'd In meditated fraud and malice, bent On Man's destruction, maugre what might hap Of heavier on himself, fearless returned From compassing the earth; cautious of day, Since Uriel, regent of the sun, descried His entrance, and foreworned the Cherubim That kept their watch; thence full of anguish driven, The space of seven continued nights he rode With darkness; thrice the equinoctial line He circled; four times crossed the car of night From pole to pole, traversing each colure; On the eighth returned; and, on the coast averse From entrance or Cherubick watch, by stealth Found unsuspected way. There was a place, Now not, though sin, not time, first wrought the change, Where Tigris, at the foot of Paradise, Into a gulf shot under ground, till part Rose up a fountain by the tree of life: In with the river sunk, and with it rose Satan, involved in rising mist; then sought Where to lie hid; sea he had searched, and land, From Eden over Pontus and the pool Maeotis, up beyond the river Ob; Downward as far antarctick; and in length, West from Orontes to the ocean barred At Darien ; thence to the land where flows Ganges and Indus: Thus the orb he roamed With narrow search; and with inspection deep Considered every creature, which of all Most opportune might serve his wiles; and found The Serpent subtlest beast of all the field. Him after long debate, irresolute Of thoughts revolved, his final sentence chose Fit vessel, fittest imp of fraud, in whom To enter, and his dark suggestions hide From sharpest sight: for, in the wily snake Whatever sleights, none would suspicious mark, As from his wit and native subtlety Proceeding; which, in other beasts observed, Doubt might beget of diabolick power Active within, beyond the sense of brute. Thus he resolved, but first from inward grief His bursting passion into plaints thus poured. More justly, seat worthier of Gods, as built With second thoughts, reforming what was old! O Earth, how like to Heaven, if not preferred For what God, after better, worse would build? Terrestrial Heaven, danced round by other Heavens That shine, yet bear their bright officious lamps, Light above light, for thee alone, as seems, In thee concentring all their precious beams Of sacred influence! As God in Heaven Is center, yet extends to all; so thou, Centring, receivest from all those orbs: in thee, Not in themselves, all their known virtue appears Productive in herb, plant, and nobler birth Of creatures animate with gradual life Of growth, sense, reason, all summed up in Man. With what delight could I have walked thee round, If I could joy in aught, sweet interchange Of hill, and valley, rivers, woods, and plains, Now land, now sea and shores with forest crowned, Rocks, dens, and caves! But I in none of these Find place or refuge; and the more I see Pleasures about me, so much more I feel Torment within me, as from the hateful siege Of contraries: all good to me becomes Bane, and in Heaven much worse would be my state. But neither here seek I, no nor in Heaven To dwell, unless by mastering Heaven's Supreme; Nor hope to be myself less miserable By what I seek, but others to make such As I, though thereby worse to me redound: For only in destroying I find ease To my relentless thoughts; and, him destroyed, Or won to what may work his utter loss, For whom all this was made, all this will soon Follow, as to him linked in weal or woe; In woe then; that destruction wide may range: To me shall be the glory sole among The infernal Powers, in one day to have marred What he, Almighty styled, six nights and days Continued making; and who knows how long Before had been contriving? though perhaps Not longer than since I, in one night, freed From servitude inglorious well nigh half The angelick name, and thinner left the throng Of his adorers: He, to be avenged, And to repair his numbers thus impaired, Whether such virtue spent of old now failed More Angels to create, if they at least Are his created, or, to spite us more, Determined to advance into our room A creature formed of earth, and him endow, Exalted from so base original, With heavenly spoils, our spoils: What he decreed, He effected; Man he made, and for him built Magnificent this world, and earth his seat, Him lord pronounced; and, O indignity! Subjected to his service angel-wings, And flaming ministers to watch and tend Their earthly charge: Of these the vigilance I dread; and, to elude, thus wrapt in mist Of midnight vapour glide obscure, and pry In every bush and brake, where hap may find The serpent sleeping; in whose mazy folds To hide me, and the dark intent I bring. O foul descent! that I, who erst contended With Gods to sit the highest, am now constrained Into a beast; and, mixed with bestial slime, This essence to incarnate and imbrute, That to the highth of Deity aspired! But what will not ambition and revenge Descend to? Who aspires, must down as low As high he soared; obnoxious, first or last, To basest things. Revenge, at first though sweet, Bitter ere long, back on itself recoils: Let it; I reck not, so it light well aimed, Since higher I fall short, on him who next Provokes my envy, this new favourite Of Heaven, this man of clay, son of despite, Whom, us the more to spite, his Maker raised From dust: Spite then with spite is best repaid. So saying, through each thicket dank or dry, Like a black mist low-creeping, he held on His midnight-search, where soonest he might find The serpent; him fast-sleeping soon he found In labyrinth of many a round self-rolled, His head the midst, well stored with subtile wiles: Not yet in horrid shade or dismal den, Nor nocent yet; but, on the grassy herb, Fearless unfeared he slept: in at his mouth The Devil entered; and his brutal sense, In heart or head, possessing, soon inspired With act intelligential; but his sleep Disturbed not, waiting close the approach of morn. Now, when as sacred light began to dawn In Eden on the humid flowers, that breathed Their morning incense, when all things, that breathe, From the Earth's great altar send up silent praise To the Creator, and his nostrils fill With grateful smell, forth came the human pair, And joined their vocal worship to the quire Of creatures wanting voice; that done, partake The season prime for sweetest scents and airs: Then commune, how that day they best may ply Their growing work: for much their work out-grew The hands' dispatch of two gardening so wide, And Eve first to her husband thus began. Adam, well may we labour still to dress This garden, still to tend plant, herb, and flower, Our pleasant task enjoined; but, till more hands Aid us, the work under our labour grows, Luxurious by restraint; what we by day Lop overgrown, or prune, or prop, or bind, One night or two with wanton growth derides Tending to wild. Thou therefore now advise, Or bear what to my mind first thoughts present: Let us divide our labours; thou, where choice Leads thee, or where most needs, whether to wind The woodbine round this arbour, or direct The clasping ivy where to climb; while I, In yonder spring of roses intermixed With myrtle, find what to redress till noon: For, while so near each other thus all day Our task we choose, what wonder if so near Looks intervene and smiles, or object new Casual discourse draw on; which intermits Our day's work, brought to little, though begun Early, and the hour of supper comes unearned? To whom mild answer Adam thus returned. Sole Eve, associate sole, to me beyond Compare above all living creatures dear! Well hast thou motioned, well thy thoughts employed, How we might best fulfil the work which here God hath assigned us; nor of me shalt pass Unpraised: for nothing lovelier can be found In woman, than to study houshold good, And good works in her husband to promote. Yet not so strictly hath our Lord imposed Labour, as to debar us when we need Refreshment, whether food, or talk between, Food of the mind, or this sweet intercourse Of looks and smiles; for smiles from reason flow, To brute denied, and are of love the food; Love, not the lowest end of human life. For not to irksome toil, but to delight, He made us, and delight to reason joined. These paths and bowers doubt not but our joint hands Will keep from wilderness with ease, as wide As we need walk, till younger hands ere long Assist us; But, if much converse perhaps Thee satiate, to short absence I could yield: For solitude sometimes is best society, And short retirement urges sweet return. But other doubt possesses me, lest harm Befall thee severed from me; for thou knowest What hath been warned us, what malicious foe Envying our happiness, and of his own Despairing, seeks to work us woe and shame By sly assault; and somewhere nigh at hand Watches, no doubt, with greedy hope to find His wish and best advantage, us asunder; Hopeless to circumvent us joined, where each To other speedy aid might lend at need: Whether his first design be to withdraw Our fealty from God, or to disturb Conjugal love, than which perhaps no bliss Enjoyed by us excites his envy more; Or this, or worse, leave not the faithful side That gave thee being, still shades thee, and protects. The wife, where danger or dishonour lurks, Safest and seemliest by her husband stays, Who guards her, or with her the worst endures. To whom the virgin majesty of Eve, As one who loves, and some unkindness meets, With sweet austere composure thus replied. Offspring of Heaven and Earth, and all Earth's Lord! That such an enemy we have, who seeks Our ruin, both by thee informed I learn, And from the parting Angel over-heard, As in a shady nook I stood behind, Just then returned at shut of evening flowers. But, that thou shouldst my firmness therefore doubt To God or thee, because we have a foe May tempt it, I expected not to hear. His violence thou fearest not, being such As we, not capable of death or pain, Can either not receive, or can repel. His fraud is then thy fear; which plain infers Thy equal fear, that my firm faith and love Can by his fraud be shaken or seduced; Thoughts, which how found they harbour in thy breast, Adam, mis-thought of her to thee so dear? To whom with healing words Adam replied. Daughter of God and Man, immortal Eve! For such thou art; from sin and blame entire: Not diffident of thee do I dissuade Thy absence from my sight, but to avoid The attempt itself, intended by our foe. For he who tempts, though in vain, at least asperses The tempted with dishonour foul; supposed Not incorruptible of faith, not proof Against temptation: Thou thyself with scorn And anger wouldst resent the offered wrong, Though ineffectual found: misdeem not then, If such affront I labour to avert From thee alone, which on us both at once The enemy, though bold, will hardly dare; Or daring, first on me the assault shall light. Nor thou his malice and false guile contemn; Subtle he needs must be, who could seduce Angels; nor think superfluous other's aid. I, from the influence of thy looks, receive Access in every virtue; in thy sight More wise, more watchful, stronger, if need were Of outward strength; while shame, thou looking on, Shame to be overcome or over-reached, Would utmost vigour raise, and raised unite. Why shouldst not thou like sense within thee feel When I am present, and thy trial choose With me, best witness of thy virtue tried? So spake domestick Adam in his care And matrimonial love; but Eve, who thought Less attributed to her faith sincere, Thus her reply with accent sweet renewed. If this be our condition, thus to dwell In narrow circuit straitened by a foe, Subtle or violent, we not endued Single with like defence, wherever met; How are we happy, still in fear of harm? But harm precedes not sin: only our foe, Tempting, affronts us with his foul esteem Of our integrity: his foul esteem Sticks no dishonour on our front, but turns Foul on himself; then wherefore shunned or feared By us? who rather double honour gain From his surmise proved false; find peace within, Favour from Heaven, our witness, from the event. And what is faith, love, virtue, unassayed Alone, without exteriour help sustained? Let us not then suspect our happy state Left so imperfect by the Maker wise, As not secure to single or combined. Frail is our happiness, if this be so, And Eden were no Eden, thus exposed. To whom thus Adam fervently replied. O Woman, best are all things as the will Of God ordained them: His creating hand Nothing imperfect or deficient left Of all that he created, much less Man, Or aught that might his happy state secure, Secure from outward force; within himself The danger lies, yet lies within his power: Against his will he can receive no harm. But God left free the will; for what obeys Reason, is free; and Reason he made right, But bid her well be ware, and still erect; Lest, by some fair-appearing good surprised, She dictate false; and mis-inform the will To do what God expressly hath forbid. Not then mistrust, but tender love, enjoins, That I should mind thee oft; and mind thou me. Firm we subsist, yet possible to swerve; Since Reason not impossibly may meet Some specious object by the foe suborned, And fall into deception unaware, Not keeping strictest watch, as she was warned. Seek not temptation then, which to avoid Were better, and most likely if from me Thou sever not: Trial will come unsought. Wouldst thou approve thy constancy, approve First thy obedience; the other who can know, Not seeing thee attempted, who attest? But, if thou think, trial unsought may find Us both securer than thus warned thou seemest, Go; for thy stay, not free, absents thee more; Go in thy native innocence, rely On what thou hast of virtue; summon all! For God towards thee hath done his part, do thine. So spake the patriarch of mankind; but Eve Persisted; yet submiss, though last, replied. With thy permission then, and thus forewarned Chiefly by what thy own last reasoning words Touched only; that our trial, when least sought, May find us both perhaps far less prepared, The willinger I go, nor much expect A foe so proud will first the weaker seek; So bent, the more shall shame him his repulse. Thus saying, from her husband's hand her hand Soft she withdrew; and, like a Wood-Nymph light, Oread or Dryad, or of Delia's train, Betook her to the groves; but Delia's self In gait surpassed, and Goddess-like deport, Though not as she with bow and quiver armed, But with such gardening tools as Art yet rude, Guiltless of fire, had formed, or Angels brought. To Pales, or Pomona, thus adorned, Likest she seemed, Pomona when she fled Vertumnus, or to Ceres in her prime, Yet virgin of Proserpina from Jove. Her long with ardent look his eye pursued Delighted, but desiring more her stay. Oft he to her his charge of quick return Repeated; she to him as oft engaged To be returned by noon amid the bower, And all things in best order to invite Noontide repast, or afternoon's repose. O much deceived, much failing, hapless Eve, Of thy presumed return! event perverse! Thou never from that hour in Paradise Foundst either sweet repast, or sound repose; Such ambush, hid among sweet flowers and shades, Waited with hellish rancour imminent To intercept thy way, or send thee back Despoiled of innocence, of faith, of bliss! For now, and since first break of dawn, the Fiend, Mere serpent in appearance, forth was come; And on his quest, where likeliest he might find The only two of mankind, but in them The whole included race, his purposed prey. In bower and field he sought, where any tuft Of grove or garden-plot more pleasant lay, Their tendance, or plantation for delight; By fountain or by shady rivulet He sought them both, but wished his hap might find Eve separate; he wished, but not with hope Of what so seldom chanced; when to his wish, Beyond his hope, Eve separate he spies, Veiled in a cloud of fragrance, where she stood, Half spied, so thick the roses blushing round About her glowed, oft stooping to support Each flower of slender stalk, whose head, though gay Carnation, purple, azure, or specked with gold, Hung drooping unsustained; them she upstays Gently with myrtle band, mindless the while Herself, though fairest unsupported flower, From her best prop so far, and storm so nigh. Nearer he drew, and many a walk traversed Of stateliest covert, cedar, pine, or palm; Then voluble and bold, now hid, now seen, Among thick-woven arborets, and flowers Imbordered on each bank, the hand of Eve: Spot more delicious than those gardens feigned Or of revived Adonis, or renowned Alcinous, host of old Laertes' son; Or that, not mystick, where the sapient king Held dalliance with his fair Egyptian spouse. Much he the place admired, the person more. As one who long in populous city pent, Where houses thick and sewers annoy the air, Forth issuing on a summer's morn, to breathe Among the pleasant villages and farms Adjoined, from each thing met conceives delight; The smell of grain, or tedded grass, or kine, Or dairy, each rural sight, each rural sound; If chance, with nymph-like step, fair virgin pass, What pleasing seemed, for her now pleases more; She most, and in her look sums all delight: Such pleasure took the Serpent to behold This flowery plat, the sweet recess of Eve Thus early, thus alone: Her heavenly form Angelick, but more soft, and feminine, Her graceful innocence, her every air Of gesture, or least action, overawed His malice, and with rapine sweet bereaved His fierceness of the fierce intent it brought: That space the Evil-one abstracted stood From his own evil, and for the time remained Stupidly good; of enmity disarmed, Of guile, of hate, of envy, of revenge: But the hot Hell that always in him burns, Though in mid Heaven, soon ended his delight, And tortures him now more, the more he sees Of pleasure, not for him ordained: then soon Fierce hate he recollects, and all his thoughts Of mischief, gratulating, thus excites. Thoughts, whither have ye led me! with what sweet Compulsion thus transported, to forget What hither brought us! hate, not love;nor hope Of Paradise for Hell, hope here to taste Of pleasure; but all pleasure to destroy, Save what is in destroying; other joy To me is lost. Then, let me not let pass Occasion which now smiles; behold alone The woman, opportune to all attempts, Her husband, for I view far round, not nigh, Whose higher intellectual more I shun, And strength, of courage haughty, and of limb Heroick built, though of terrestrial mould; Foe not informidable! exempt from wound, I not; so much hath Hell debased, and pain Enfeebled me, to what I was in Heaven. She fair, divinely fair, fit love for Gods! Not terrible, though terrour be in love And beauty, not approached by stronger hate, Hate stronger, under show of love well feigned; The way which to her ruin now I tend. So spake the enemy of mankind, enclosed In serpent, inmate bad! and toward Eve Addressed his way: not with indented wave, Prone on the ground, as since; but on his rear, Circular base of rising folds, that towered Fold above fold, a surging maze! his head Crested aloft, and carbuncle his eyes; With burnished neck of verdant gold, erect Amidst his circling spires, that on the grass Floated redundant: pleasing was his shape And lovely; never since of serpent-kind Lovelier, not those that in Illyria changed, Hermione and Cadmus, or the god In Epidaurus; nor to which transformed Ammonian Jove, or Capitoline, was seen; He with Olympias; this with her who bore Scipio, the highth of Rome. With tract oblique At first, as one who sought access, but feared To interrupt, side-long he works his way. As when a ship, by skilful steersmen wrought Nigh river's mouth or foreland, where the wind Veers oft, as oft so steers, and shifts her sail: So varied he, and of his tortuous train Curled many a wanton wreath in sight of Eve, To lure her eye; she, busied, heard the sound Of rusling leaves, but minded not, as used To such disport before her through the field, From every beast; more duteous at her call, Than at Circean call the herd disguised. He, bolder now, uncalled before her stood, But as in gaze admiring: oft he bowed His turret crest, and sleek enamelled neck, Fawning; and licked the ground whereon she trod. His gentle dumb expression turned at length The eye of Eve to mark his play; he, glad Of her attention gained, with serpent-tongue Organick, or impulse of vocal air, His fraudulent temptation thus began. Wonder not, sovran Mistress, if perhaps Thou canst, who art sole wonder! much less arm Thy looks, the Heaven of mildness, with disdain, Displeased that I approach thee thus, and gaze Insatiate; I thus single;nor have feared Thy awful brow, more awful thus retired. Fairest resemblance of thy Maker fair, Thee all things living gaze on, all things thine By gift, and thy celestial beauty adore With ravishment beheld! there best beheld, Where universally admired; but here In this enclosure wild, these beasts among, Beholders rude, and shallow to discern Half what in thee is fair, one man except, Who sees thee? and what is one? who should be seen A Goddess among Gods, adored and served By Angels numberless, thy daily train. So glozed the Tempter, and his proem tuned: Into the heart of Eve his words made way, Though at the voice much marvelling; at length, Not unamazed, she thus in answer spake. What may this mean? language of man pronounced By tongue of brute, and human sense expressed? The first, at least, of these I thought denied To beasts; whom God, on their creation-day, Created mute to all articulate sound: The latter I demur; for in their looks Much reason, and in their actions, oft appears. Thee, Serpent, subtlest beast of all the field I knew, but not with human voice endued; Redouble then this miracle, and say, How camest thou speakable of mute, and how To me so friendly grown above the rest Of brutal kind, that daily are in sight? Say, for such wonder claims attention due. To whom the guileful Tempter thus replied. Empress of this fair world, resplendent Eve! Easy to me it is to tell thee all What thou commandest; and right thou shouldst be obeyed: I was at first as other beasts that graze The trodden herb, of abject thoughts and low, As was my food; nor aught but food discerned Or sex, and apprehended nothing high: Till, on a day roving the field, I chanced A goodly tree far distant to behold Loaden with fruit of fairest colours mixed, Ruddy and gold: I nearer drew to gaze; When from the boughs a savoury odour blown, Grateful to appetite, more pleased my sense Than smell of sweetest fennel, or the teats Of ewe or goat dropping with milk at even, Unsucked of lamb or kid, that tend their play. To satisfy the sharp desire I had Of tasting those fair apples, I resolved Not to defer; hunger and thirst at once, Powerful persuaders, quickened at the scent Of that alluring fruit, urged me so keen. About the mossy trunk I wound me soon; For, high from ground, the branches would require Thy utmost reach or Adam's: Round the tree All other beasts that saw, with like desire Longing and envying stood, but could not reach. Amid the tree now got, where plenty hung Tempting so nigh, to pluck and eat my fill I spared not; for, such pleasure till that hour, At feed or fountain, never had I found. Sated at length, ere long I might perceive Strange alteration in me, to degree Of reason in my inward powers; and speech Wanted not long; though to this shape retained. Thenceforth to speculations high or deep I turned my thoughts, and with capacious mind Considered all things visible in Heaven, Or Earth, or Middle; all things fair and good: But all that fair and good in thy divine Semblance, and in thy beauty's heavenly ray, United I beheld; no fair to thine Equivalent or second! which compelled Me thus, though importune perhaps, to come And gaze, and worship thee of right declared Sovran of creatures, universal Dame! So talked the spirited sly Snake; and Eve, Yet more amazed, unwary thus replied. Serpent, thy overpraising leaves in doubt The virtue of that fruit, in thee first proved: But say, where grows the tree? from hence how far? For many are the trees of God that grow In Paradise, and various, yet unknown To us; in such abundance lies our choice, As leaves a greater store of fruit untouched, Still hanging incorruptible, till men Grow up to their provision, and more hands Help to disburden Nature of her birth. To whom the wily Adder, blithe and glad. Empress, the way is ready, and not long; Beyond a row of myrtles, on a flat, Fast by a fountain, one small thicket past Of blowing myrrh and balm: if thou accept My conduct, I can bring thee thither soon Lead then, said Eve. He, leading, swiftly rolled In tangles, and made intricate seem straight, To mischief swift. Hope elevates, and joy Brightens his crest; as when a wandering fire, Compact of unctuous vapour, which the night Condenses, and the cold environs round, Kindled through agitation to a flame, Which oft, they say, some evil Spirit attends, Hovering and blazing with delusive light, Misleads the amazed night-wanderer from his way To bogs and mires, and oft through pond or pool; There swallowed up and lost, from succour far. So glistered the dire Snake, and into fraud Led Eve, our credulous mother, to the tree Of prohibition, root of all our woe; Which when she saw, thus to her guide she spake. Serpent, we might have spared our coming hither, Fruitless to me, though fruit be here to excess, The credit of whose virtue rest with thee; Wonderous indeed, if cause of such effects. But of this tree we may not taste nor touch; God so commanded, and left that command Sole daughter of his voice; the rest, we live Law to ourselves; our reason is our law. To whom the Tempter guilefully replied. Indeed! hath God then said that of the fruit Of all these garden-trees ye shall not eat, Yet Lords declared of all in earth or air$? To whom thus Eve, yet sinless. Of the fruit Of each tree in the garden we may eat; But of the fruit of this fair tree amidst The garden, God hath said, Ye shall not eat Thereof, nor shall ye touch it, lest ye die. She scarce had said, though brief, when now more bold The Tempter, but with show of zeal and love To Man, and indignation at his wrong, New part puts on; and, as to passion moved, Fluctuates disturbed, yet comely and in act Raised, as of some great matter to begin. As when of old some orator renowned, In Athens or free Rome, where eloquence Flourished, since mute! to some great cause addressed, Stood in himself collected; while each part, Motion, each act, won audience ere the tongue; Sometimes in highth began, as no delay Of preface brooking, through his zeal of right: So standing, moving, or to highth up grown, The Tempter, all impassioned, thus began. O sacred, wise, and wisdom-giving Plant, Mother of science! now I feel thy power Within me clear; not only to discern Things in their causes, but to trace the ways Of highest agents, deemed however wise. Queen of this universe! do not believe Those rigid threats of death: ye shall not die: How should you? by the fruit? it gives you life To knowledge; by the threatener? look on me, Me, who have touched and tasted; yet both live, And life more perfect have attained than Fate Meant me, by venturing higher than my lot. Shall that be shut to Man, which to the Beast Is open? or will God incense his ire For such a petty trespass? and not praise Rather your dauntless virtue, whom the pain Of death denounced, whatever thing death be, Deterred not from achieving what might lead To happier life, knowledge of good and evil; Of good, how just? of evil, if what is evil Be real, why not known, since easier shunned? God therefore cannot hurt ye, and be just; Not just, not God; not feared then, nor obeyed: Your fear itself of death removes the fear. Why then was this forbid? Why, but to awe; Why, but to keep ye low and ignorant, His worshippers? He knows that in the day Ye eat thereof, your eyes that seem so clear, Yet are but dim, shall perfectly be then Opened and cleared, and ye shall be as Gods, Knowing both good and evil, as they know. That ye shall be as Gods, since I as Man, Internal Man, is but proportion meet; I, of brute, human; ye, of human, Gods. So ye shall die perhaps, by putting off Human, to put on Gods; death to be wished, Though threatened, which no worse than this can bring. And what are Gods, that Man may not become As they, participating God-like food? The Gods are first, and that advantage use On our belief, that all from them proceeds: I question it; for this fair earth I see, Warmed by the sun, producing every kind; Them, nothing: if they all things, who enclosed Knowledge of good and evil in this tree, That whoso eats thereof, forthwith attains Wisdom without their leave? and wherein lies The offence, that Man should thus attain to know? What can your knowledge hurt him, or this tree Impart against his will, if all be his? Or is it envy? and can envy dwell In heavenly breasts? These, these, and many more Causes import your need of this fair fruit. Goddess humane, reach then, and freely taste! He ended; and his words, replete with guile, Into her heart too easy entrance won: Fixed on the fruit she gazed, which to behold Might tempt alone; and in her ears the sound Yet rung of his persuasive words, impregned With reason, to her seeming, and with truth: Mean while the hour of noon drew on, and waked An eager appetite, raised by the smell So savoury of that fruit, which with desire, Inclinable now grown to touch or taste, Solicited her longing eye; yet first Pausing a while, thus to herself she mused. Great are thy virtues, doubtless, best of fruits, Though kept from man, and worthy to be admired; Whose taste, too long forborn, at first assay Gave elocution to the mute, and taught The tongue not made for speech to speak thy praise: Thy praise he also, who forbids thy use, Conceals not from us, naming thee the tree Of knowledge, knowledge both of good and evil; Forbids us then to taste! but his forbidding Commends thee more, while it infers the good By thee communicated, and our want: For good unknown sure is not had; or, had And yet unknown, is as not had at all. In plain then, what forbids he but to know, Forbids us good, forbids us to be wise? Such prohibitions bind not. But, if death Bind us with after-bands, what profits then Our inward freedom? In the day we eat Of this fair fruit, our doom is, we shall die! How dies the Serpent? he hath eaten and lives, And knows, and speaks, and reasons, and discerns, Irrational till then. For us alone Was death invented? or to us denied This intellectual food, for beasts reserved? For beasts it seems: yet that one beast which first Hath tasted envies not, but brings with joy The good befallen him, author unsuspect, Friendly to man, far from deceit or guile. What fear I then? rather, what know to fear Under this ignorance of good and evil, Of God or death, of law or penalty? Here grows the cure of all, this fruit divine, Fair to the eye, inviting to the taste, Of virtue to make wise: What hinders then To reach, and feed at once both body and mind? So saying, her rash hand in evil hour Forth reaching to the fruit, she plucked, she eat! Earth felt the wound; and Nature from her seat, Sighing through all her works, gave signs of woe, That all was lost. Back to the thicket slunk The guilty Serpent; and well might;for Eve, Intent now wholly on her taste, nought else Regarded; such delight till then, as seemed, In fruit she never tasted, whether true Or fancied so, through expectation high Of knowledge; not was Godhead from her thought. Greedily she ingorged without restraint, And knew not eating death: Satiate at length, And hightened as with wine, jocund and boon, Thus to herself she pleasingly began. O sovran, virtuous, precious of all trees In Paradise! of operation blest To sapience, hitherto obscured, infamed. And thy fair fruit let hang, as to no end Created; but henceforth my early care, Not without song, each morning, and due praise, Shall tend thee, and the fertile burden ease Of thy full branches offered free to all; Till, dieted by thee, I grow mature In knowledge, as the Gods, who all things know; Though others envy what they cannot give: For, had the gift been theirs, it had not here Thus grown. Experience, next, to thee I owe, Best guide; not following thee, I had remained In ignorance; thou openest wisdom's way, And givest access, though secret she retire. And I perhaps am secret: Heaven is high, High, and remote to see from thence distinct Each thing on Earth; and other care perhaps May have diverted from continual watch Our great Forbidder, safe with all his spies About him. But to Adam in what sort Shall I appear? shall I to him make known As yet my change, and give him to partake Full happiness with me, or rather not, But keeps the odds of knowledge in my power Without copartner? so to add what wants In female sex, the more to draw his love, And render me more equal; and perhaps, A thing not undesirable, sometime Superiour; for, inferiour, who is free This may be well: But what if God have seen, And death ensue? then I shall be no more! And Adam, wedded to another Eve, Shall live with her enjoying, I extinct; A death to think! Confirmed then I resolve, Adam shall share with me in bliss or woe: So dear I love him, that with him all deaths I could endure, without him live no life. So saying, from the tree her step she turned; But first low reverence done, as to the Power That dwelt within, whose presence had infused Into the plant sciential sap, derived From nectar, drink of Gods. Adam the while, Waiting desirous her return, had wove Of choicest flowers a garland, to adorn Her tresses, and her rural labours crown; As reapers oft are wont their harvest-queen. Great joy he promised to his thoughts, and new Solace in her return, so long delayed: Yet oft his heart, divine of something ill, Misgave him; he the faltering measure felt; And forth to meet her went, the way she took That morn when first they parted: by the tree Of knowledge he must pass; there he her met, Scarce from the tree returning; in her hand A bough of fairest fruit, that downy smiled, New gathered, and ambrosial smell diffused. To him she hasted; in her face excuse Came prologue, and apology too prompt; Which, with bland words at will, she thus addressed. Hast thou not wondered, Adam, at my stay? Thee I have missed, and thought it long, deprived Thy presence; agony of love till now Not felt, nor shall be twice; for never more Mean I to try, what rash untried I sought, The pain of absence from thy sight. But strange Hath been the cause, and wonderful to hear: This tree is not, as we are told, a tree Of danger tasted, nor to evil unknown Opening the way, but of divine effect To open eyes, and make them Gods who taste; And hath been tasted such: The serpent wise, Or not restrained as we, or not obeying, Hath eaten of the fruit; and is become, Not dead, as we are threatened, but thenceforth Endued with human voice and human sense, Reasoning to admiration; and with me Persuasively hath so prevailed, that I Have also tasted, and have also found The effects to correspond; opener mine eyes, Dim erst, dilated spirits, ampler heart, And growing up to Godhead; which for thee Chiefly I sought, without thee can despise. For bliss, as thou hast part, to me is bliss; Tedious, unshared with thee, and odious soon. Thou therefore also taste, that equal lot May join us, equal joy, as equal love; Lest, thou not tasting, different degree Disjoin us, and I then too late renounce Deity for thee, when Fate will not permit. Thus Eve with countenance blithe her story told; But in her cheek distemper flushing glowed. On the other side Adam, soon as he heard The fatal trespass done by Eve, amazed, Astonied stood and blank, while horrour chill Ran through his veins, and all his joints relaxed; From his slack hand the garland wreathed for Eve Down dropt, and all the faded roses shed: Speechless he stood and pale, till thus at length First to himself he inward silence broke. O fairest of Creation, last and best Of all God's works, Creature in whom excelled Whatever can to sight or thought be formed, Holy, divine, good, amiable, or sweet! How art thou lost! how on a sudden lost, Defaced, deflowered, and now to death devote! Rather, how hast thou yielded to transgress The strict forbiddance, how to violate The sacred fruit forbidden! Some cursed fraud Of enemy hath beguiled thee, yet unknown, And me with thee hath ruined; for with thee Certain my resolution is to die: How can I live without thee! how forego Thy sweet converse, and love so dearly joined, To live again in these wild woods forlorn! Should God create another Eve, and I Another rib afford, yet loss of thee Would never from my heart: no, no!I feel The link of Nature draw me: flesh of flesh, Bone of my bone thou art, and from thy state Mine never shall be parted, bliss or woe. So having said, as one from sad dismay Recomforted, and after thoughts disturbed Submitting to what seemed remediless, Thus in calm mood his words to Eve he turned. Bold deed thou hast presumed, adventurous Eve, And peril great provoked, who thus hast dared, Had it been only coveting to eye That sacred fruit, sacred to abstinence, Much more to taste it under ban to touch. But past who can recall, or done undo? Not God Omnipotent, nor Fate; yet so Perhaps thou shalt not die, perhaps the fact Is not so heinous now, foretasted fruit, Profaned first by the serpent, by him first Made common, and unhallowed, ere our taste; Nor yet on him found deadly; yet he lives; Lives, as thou saidst, and gains to live, as Man, Higher degree of life; inducement strong To us, as likely tasting to attain Proportional ascent; which cannot be But to be Gods, or Angels, demi-Gods. Nor can I think that God, Creator wise, Though threatening, will in earnest so destroy Us his prime creatures, dignified so high, Set over all his works; which in our fall, For us created, needs with us must fail, Dependant made; so God shall uncreate, Be frustrate, do, undo, and labour lose; Not well conceived of God, who, though his power Creation could repeat, yet would be loth Us to abolish, lest the Adversary Triumph, and say; "Fickle their state whom God "Most favours; who can please him long? Me first "He ruined, now Mankind; whom will he next?" Matter of scorn, not to be given the Foe. However I with thee have fixed my lot, Certain to undergo like doom: If death Consort with thee, death is to me as life; So forcible within my heart I feel The bond of Nature draw me to my own; My own in thee, for what thou art is mine; Our state cannot be severed; we are one, One flesh; to lose thee were to lose myself. So Adam; and thus Eve to him replied. O glorious trial of exceeding love, Illustrious evidence, example high! Engaging me to emulate; but, short Of thy perfection, how shall I attain, Adam, from whose dear side I boast me sprung, And gladly of our union hear thee speak, One heart, one soul in both; whereof good proof This day affords, declaring thee resolved, Rather than death, or aught than death more dread, Shall separate us, linked in love so dear, To undergo with me one guilt, one crime, If any be, of tasting this fair fruit; Whose virtue for of good still good proceeds, Direct, or by occasion, hath presented This happy trial of thy love, which else So eminently never had been known? Were it I thought death menaced would ensue This my attempt, I would sustain alone The worst, and not persuade thee, rather die Deserted, than oblige thee with a fact Pernicious to thy peace; chiefly assured Remarkably so late of thy so true, So faithful, love unequalled: but I feel Far otherwise the event; not death, but life Augmented, opened eyes, new hopes, new joys, Taste so divine, that what of sweet before Hath touched my sense, flat seems to this, and harsh. On my experience, Adam, freely taste, And fear of death deliver to the winds. So saying, she embraced him, and for joy Tenderly wept; much won, that he his love Had so ennobled, as of choice to incur Divine displeasure for her sake, or death. In recompence for such compliance bad Such recompence best merits from the bough She gave him of that fair enticing fruit With liberal hand: he scrupled not to eat, Against his better knowledge; not deceived, But fondly overcome with female charm. Earth trembled from her entrails, as again In pangs; and Nature gave a second groan; Sky loured; and, muttering thunder, some sad drops Wept at completing of the mortal sin Original: while Adam took no thought, Eating his fill; nor Eve to iterate Her former trespass feared, the more to sooth Him with her loved society; that now, As with new wine intoxicated both, They swim in mirth, and fancy that they feel Divinity within them breeding wings, Wherewith to scorn the earth: But that false fruit Far other operation first displayed, Carnal desire inflaming; he on Eve Began to cast lascivious eyes; she him As wantonly repaid; in lust they burn: Till Adam thus 'gan Eve to dalliance move. Eve, now I see thou art exact of taste, And elegant, of sapience no small part; Since to each meaning savour we apply, And palate call judicious; I the praise Yield thee, so well this day thou hast purveyed. Much pleasure we have lost, while we abstained From this delightful fruit, nor known till now True relish, tasting; if such pleasure be In things to us forbidden, it might be wished, For this one tree had been forbidden ten. But come, so well refreshed, now let us play, As meet is, after such delicious fare; For never did thy beauty, since the day I saw thee first and wedded thee, adorned With all perfections, so inflame my sense With ardour to enjoy thee, fairer now Than ever; bounty of this virtuous tree! So said he, and forbore not glance or toy Of amorous intent; well understood Of Eve, whose eye darted contagious fire. Her hand he seised; and to a shady bank, Thick over-head with verdant roof imbowered, He led her nothing loth; flowers were the couch, Pansies, and violets, and asphodel, And hyacinth; Earth's freshest softest lap. There they their fill of love and love's disport Took largely, of their mutual guilt the seal, The solace of their sin; till dewy sleep Oppressed them, wearied with their amorous play, Soon as the force of that fallacious fruit, That with exhilarating vapour bland About their spirits had played, and inmost powers Made err, was now exhaled; and grosser sleep, Bred of unkindly fumes, with conscious dreams Incumbered, now had left them; up they rose As from unrest; and, each the other viewing, Soon found their eyes how opened, and their minds How darkened; innocence, that as a veil Had shadowed them from knowing ill, was gone; Just confidence, and native righteousness, And honour, from about them, naked left To guilty Shame; he covered, but his robe Uncovered more. So rose the Danite strong, Herculean Samson, from the harlot-lap Of Philistean Dalilah, and waked Shorn of his strength. They destitute and bare Of all their virtue: Silent, and in face Confounded, long they sat, as strucken mute: Till Adam, though not less than Eve abashed, At length gave utterance to these words constrained. O Eve, in evil hour thou didst give ear To that false worm, of whomsoever taught To counterfeit Man's voice; true in our fall, False in our promised rising; since our eyes Opened we find indeed, and find we know Both good and evil; good lost, and evil got; Bad fruit of knowledge, if this be to know; Which leaves us naked thus, of honour void, Of innocence, of faith, of purity, Our wonted ornaments now soiled and stained, And in our faces evident the signs Of foul concupiscence; whence evil store; Even shame, the last of evils; of the first Be sure then.--How shall I behold the face Henceforth of God or Angel, erst with joy And rapture so oft beheld? Those heavenly shapes Will dazzle now this earthly with their blaze Insufferably bright. O! might I here In solitude live savage; in some glade Obscured, where highest woods, impenetrable To star or sun-light, spread their umbrage broad And brown as evening: Cover me, ye Pines! Ye Cedars, with innumerable boughs Hide me, where I may never see them more!-- But let us now, as in bad plight, devise What best may for the present serve to hide The parts of each from other, that seem most To shame obnoxious, and unseemliest seen; Some tree, whose broad smooth leaves together sewed, And girded on our loins, may cover round Those middle parts; that this new comer, Shame, There sit not, and reproach us as unclean. So counselled he, and both together went Into the thickest wood; there soon they chose The fig-tree; not that kind for fruit renowned, But such as at this day, to Indians known, In Malabar or Decan spreads her arms Branching so broad and long, that in the ground The bended twigs take root, and daughters grow About the mother tree, a pillared shade High over-arched, and echoing walks between: There oft the Indian herdsman, shunning heat, Shelters in cool, and tends his pasturing herds At loop-holes cut through thickest shade: Those leaves They gathered, broad as Amazonian targe; And, with what skill they had, together sewed, To gird their waist; vain covering, if to hide Their guilt and dreaded shame! O, how unlike To that first naked glory! Such of late Columbus found the American, so girt With feathered cincture; naked else, and wild Among the trees on isles and woody shores. Thus fenced, and, as they thought, their shame in part Covered, but not at rest or ease of mind, They sat them down to weep; nor only tears Rained at their eyes, but high winds worse within Began to rise, high passions, anger, hate, Mistrust, suspicion, discord; and shook sore Their inward state of mind, calm region once And full of peace, now tost and turbulent: For Understanding ruled not, and the Will Heard not her lore; both in subjection now To sensual Appetite, who from beneath Usurping over sovran Reason claimed Superiour sway: From thus distempered breast, Adam, estranged in look and altered style, Speech intermitted thus to Eve renewed. Would thou hadst hearkened to my words, and staid With me, as I besought thee, when that strange Desire of wandering, this unhappy morn, I know not whence possessed thee; we had then Remained still happy; not, as now, despoiled Of all our good; shamed, naked, miserable! Let none henceforth seek needless cause to approve The faith they owe; when earnestly they seek Such proof, conclude, they then begin to fail. To whom, soon moved with touch of blame, thus Eve. What words have passed thy lips, Adam severe! Imputest thou that to my default, or will Of wandering, as thou callest it, which who knows But might as ill have happened thou being by, Or to thyself perhaps? Hadst thou been there, Or here the attempt, thou couldst not have discerned Fraud in the Serpent, speaking as he spake; No ground of enmity between us known, Why he should mean me ill, or seek to harm. Was I to have never parted from thy side? As good have grown there still a lifeless rib. Being as I am, why didst not thou, the head, Command me absolutely not to go, Going into such danger, as thou saidst? Too facile then, thou didst not much gainsay; Nay, didst permit, approve, and fair dismiss. Hadst thou been firm and fixed in thy dissent, Neither had I transgressed, nor thou with me. To whom, then first incensed, Adam replied. Is this the love, is this the recompence Of mine to thee, ingrateful Eve! expressed Immutable, when thou wert lost, not I; Who might have lived, and joyed immortal bliss, Yet willingly chose rather death with thee? And am I now upbraided as the cause Of thy transgressing? Not enough severe, It seems, in thy restraint: What could I more I warned thee, I admonished thee, foretold The danger, and the lurking enemy That lay in wait; beyond this, had been force; And force upon free will hath here no place. But confidence then bore thee on; secure Either to meet no danger, or to find Matter of glorious trial; and perhaps I also erred, in overmuch admiring What seemed in thee so perfect, that I thought No evil durst attempt thee; but I rue The errour now, which is become my crime, And thou the accuser. Thus it shall befall Him, who, to worth in women overtrusting, Lets her will rule: restraint she will not brook; And, left to herself, if evil thence ensue, She first his weak indulgence will accuse. Thus they in mutual accusation spent The fruitless hours, but neither self-condemning; And of their vain contest appeared no end. Book X Mean while the heinous and despiteful act Of Satan, done in Paradise; and how He, in the serpent, had perverted Eve, Her husband she, to taste the fatal fruit, Was known in Heaven; for what can 'scape the eye Of God all-seeing, or deceive his heart Omniscient? who, in all things wise and just, Hindered not Satan to attempt the mind Of Man, with strength entire and free will armed, Complete to have discovered and repulsed Whatever wiles of foe or seeming friend. For still they knew, and ought to have still remembered, The high injunction, not to taste that fruit, Whoever tempted; which they not obeying, (Incurred what could they less?) the penalty; And, manifold in sin, deserved to fall. Up into Heaven from Paradise in haste The angelick guards ascended, mute, and sad, For Man; for of his state by this they knew, Much wondering how the subtle Fiend had stolen Entrance unseen. Soon as the unwelcome news From Earth arrived at Heaven-gate, displeased All were who heard; dim sadness did not spare That time celestial visages, yet, mixed With pity, violated not their bliss. About the new-arrived, in multitudes The ethereal people ran, to hear and know How all befel: They towards the throne supreme, Accountable, made haste, to make appear, With righteous plea, their utmost vigilance And easily approved; when the Most High Eternal Father, from his secret cloud, Amidst in thunder uttered thus his voice. Assembled Angels, and ye Powers returned From unsuccessful charge; be not dismayed, Nor troubled at these tidings from the earth, Which your sincerest care could not prevent; Foretold so lately what would come to pass, When first this tempter crossed the gulf from Hell. I told ye then he should prevail, and speed On his bad errand; Man should be seduced, And flattered out of all, believing lies Against his Maker; no decree of mine Concurring to necessitate his fall, Or touch with lightest moment of impulse His free will, to her own inclining left In even scale. But fallen he is; and now What rests, but that the mortal sentence pass On his transgression,--death denounced that day? Which he presumes already vain and void, Because not yet inflicted, as he feared, By some immediate stroke; but soon shall find Forbearance no acquittance, ere day end. Justice shall not return as bounty scorned. But whom send I to judge them? whom but thee, Vicegerent Son? To thee I have transferred All judgement, whether in Heaven, or Earth, or Hell. Easy it may be seen that I intend Mercy colleague with justice, sending thee Man's friend, his Mediator, his designed Both ransom and Redeemer voluntary, And destined Man himself to judge Man fallen. So spake the Father; and, unfolding bright Toward the right hand his glory, on the Son Blazed forth unclouded Deity: He full Resplendent all his Father manifest Expressed, and thus divinely answered mild. Father Eternal, thine is to decree; Mine, both in Heaven and Earth, to do thy will Supreme; that thou in me, thy Son beloved, Mayest ever rest well pleased. I go to judge On earth these thy transgressours; but thou knowest, Whoever judged, the worst on me must light, When time shall be; for so I undertook Before thee; and, not repenting, this obtain Of right, that I may mitigate their doom On me derived; yet I shall temper so Justice with mercy, as may illustrate most Them fully satisfied, and thee appease. Attendance none shall need, nor train, where none Are to behold the judgement, but the judged, Those two; the third best absent is condemned, Convict by flight, and rebel to all law: Conviction to the serpent none belongs. Thus saying, from his radiant seat he rose Of high collateral glory: Him Thrones, and Powers, Princedoms, and Dominations ministrant, Accompanied to Heaven-gate; from whence Eden, and all the coast, in prospect lay. Down he descended straight; the speed of Gods Time counts not, though with swiftest minutes winged. Now was the sun in western cadence low From noon, and gentle airs, due at their hour, To fan the earth now waked, and usher in The evening cool; when he, from wrath more cool, Came the mild Judge, and Intercessour both, To sentence Man: The voice of God they heard Now walking in the garden, by soft winds Brought to their ears, while day declined; they heard, And from his presence hid themselves among The thickest trees, both man and wife; till God, Approaching, thus to Adam called aloud. Where art thou, Adam, wont with joy to meet My coming seen far off? I miss thee here, Not pleased, thus entertained with solitude, Where obvious duty ere while appeared unsought: Or come I less conspicuous, or what change Absents thee, or what chance detains?--Come forth! He came; and with him Eve, more loth, though first To offend; discountenanced both, and discomposed; Love was not in their looks, either to God, Or to each other; but apparent guilt, And shame, and perturbation, and despair, Anger, and obstinacy, and hate, and guile. Whence Adam, faltering long, thus answered brief. I heard thee in the garden, and of thy voice Afraid, being naked, hid myself. To whom The gracious Judge without revile replied. My voice thou oft hast heard, and hast not feared, But still rejoiced; how is it now become So dreadful to thee? That thou art naked, who Hath told thee? Hast thou eaten of the tree, Whereof I gave thee charge thou shouldst not eat? To whom thus Adam sore beset replied. O Heaven! in evil strait this day I stand Before my Judge; either to undergo Myself the total crime, or to accuse My other self, the partner of my life; Whose failing, while her faith to me remains, I should conceal, and not expose to blame By my complaint: but strict necessity Subdues me, and calamitous constraint; Lest on my head both sin and punishment, However insupportable, be all Devolved; though should I hold my peace, yet thou Wouldst easily detect what I conceal.-- This Woman, whom thou madest to be my help, And gavest me as thy perfect gift, so good, So fit, so acceptable, so divine, That from her hand I could suspect no ill, And what she did, whatever in itself, Her doing seemed to justify the deed; She gave me of the tree, and I did eat. To whom the Sovran Presence thus replied. Was she thy God, that her thou didst obey Before his voice? or was she made thy guide, Superiour, or but equal, that to her Thou didst resign thy manhood, and the place Wherein God set thee above her made of thee, And for thee, whose perfection far excelled Hers in all real dignity? Adorned She was indeed, and lovely, to attract Thy love, not thy subjection; and her gifts Were such, as under government well seemed; Unseemly to bear rule; which was thy part And person, hadst thou known thyself aright. So having said, he thus to Eve in few. Say, Woman, what is this which thou hast done? To whom sad Eve, with shame nigh overwhelmed, Confessing soon, yet not before her Judge Bold or loquacious, thus abashed replied. The Serpent me beguiled, and I did eat. Which when the Lord God heard, without delay To judgement he proceeded on the accused Serpent, though brute; unable to transfer The guilt on him, who made him instrument Of mischief, and polluted from the end Of his creation; justly then accursed, As vitiated in nature: More to know Concerned not Man, (since he no further knew) Nor altered his offence; yet God at last To Satan first in sin his doom applied, Though in mysterious terms, judged as then best: And on the Serpent thus his curse let fall. Because thou hast done this, thou art accursed Above all cattle, each beast of the field; Upon thy belly groveling thou shalt go, And dust shalt eat all the days of thy life. Between thee and the woman I will put Enmity, and between thine and her seed; Her seed shall bruise thy head, thou bruise his heel. So spake this oracle, then verified When Jesus, Son of Mary, second Eve, Saw Satan fall, like lightning, down from Heaven, Prince of the air; then, rising from his grave Spoiled Principalities and Powers, triumphed In open show; and, with ascension bright, Captivity led captive through the air, The realm itself of Satan, long usurped; Whom he shall tread at last under our feet; Even he, who now foretold his fatal bruise; And to the Woman thus his sentence turned. Thy sorrow I will greatly multiply By thy conception; children thou shalt bring In sorrow forth; and to thy husband's will Thine shall submit; he over thee shall rule. On Adam last thus judgement he pronounced. Because thou hast hearkened to the voice of thy wife, And eaten of the tree, concerning which I charged thee, saying, Thou shalt not eat thereof: Cursed is the ground for thy sake; thou in sorrow Shalt eat thereof, all the days of thy life; Thorns also and thistles it shall bring thee forth Unbid; and thou shalt eat the herb of the field; In the sweat of thy face shalt thou eat bread, Till thou return unto the ground; for thou Out of the ground wast taken, know thy birth, For dust thou art, and shalt to dust return. So judged he Man, both Judge and Saviour sent; And the instant stroke of death, denounced that day, Removed far off; then, pitying how they stood Before him naked to the air, that now Must suffer change, disdained not to begin Thenceforth the form of servant to assume; As when he washed his servants feet; so now, As father of his family, he clad Their nakedness with skins of beasts, or slain, Or as the snake with youthful coat repaid; And thought not much to clothe his enemies; Nor he their outward only with the skins Of beasts, but inward nakedness, much more. Opprobrious, with his robe of righteousness, Arraying, covered from his Father's sight. To him with swift ascent he up returned, Into his blissful bosom reassumed In glory, as of old; to him appeased All, though all-knowing, what had passed with Man Recounted, mixing intercession sweet. Mean while, ere thus was sinned and judged on Earth, Within the gates of Hell sat Sin and Death, In counterview within the gates, that now Stood open wide, belching outrageous flame Far into Chaos, since the Fiend passed through, Sin opening; who thus now to Death began. O Son, why sit we here each other viewing Idly, while Satan, our great author, thrives In other worlds, and happier seat provides For us, his offspring dear? It cannot be But that success attends him; if mishap, Ere this he had returned, with fury driven By his avengers; since no place like this Can fit his punishment, or their revenge. Methinks I feel new strength within me rise, Wings growing, and dominion given me large Beyond this deep; whatever draws me on, Or sympathy, or some connatural force, Powerful at greatest distance to unite, With secret amity, things of like kind, By secretest conveyance. Thou, my shade Inseparable, must with me along; For Death from Sin no power can separate. But, lest the difficulty of passing back Stay his return perhaps over this gulf Impassable, impervious; let us try Adventurous work, yet to thy power and mine Not unagreeable, to found a path Over this main from Hell to that new world, Where Satan now prevails; a monument Of merit high to all the infernal host, Easing their passage hence, for intercourse, Or transmigration, as their lot shall lead. Nor can I miss the way, so strongly drawn By this new-felt attraction and instinct. Whom thus the meager Shadow answered soon. Go, whither Fate, and inclination strong, Leads thee; I shall not lag behind, nor err The way, thou leading; such a scent I draw Of carnage, prey innumerable, and taste The savour of death from all things there that live: Nor shall I to the work thou enterprisest Be wanting, but afford thee equal aid. So saying, with delight he snuffed the smell Of mortal change on earth. As when a flock Of ravenous fowl, though many a league remote, Against the day of battle, to a field, Where armies lie encamped, come flying, lured With scent of living carcasses designed For death, the following day, in bloody fight: So scented the grim Feature, and upturned His nostril wide into the murky air; Sagacious of his quarry from so far. Then both from out Hell-gates, into the waste Wide anarchy of Chaos, damp and dark, Flew diverse; and with power (their power was great) Hovering upon the waters, what they met Solid or slimy, as in raging sea Tost up and down, together crouded drove, From each side shoaling towards the mouth of Hell; As when two polar winds, blowing adverse Upon the Cronian sea, together drive Mountains of ice, that stop the imagined way Beyond Petsora eastward, to the rich Cathaian coast. The aggregated soil Death with his mace petrifick, cold and dry, As with a trident, smote; and fixed as firm As Delos, floating once; the rest his look Bound with Gorgonian rigour not to move; And with Asphaltick slime, broad as the gate, Deep to the roots of Hell the gathered beach They fastened, and the mole immense wrought on Over the foaming deep high-arched, a bridge Of length prodigious, joining to the wall Immoveable of this now fenceless world, Forfeit to Death; from hence a passage broad, Smooth, easy, inoffensive, down to Hell. So, if great things to small may be compared, Xerxes, the liberty of Greece to yoke, From Susa, his Memnonian palace high, Came to the sea: and, over Hellespont Bridging his way, Europe with Asia joined, And scourged with many a stroke the indignant waves. Now had they brought the work by wonderous art Pontifical, a ridge of pendant rock, Over the vexed abyss, following the track Of Satan to the self-same place where he First lighted from his wing, and landed safe From out of Chaos, to the outside bare Of this round world: With pins of adamant And chains they made all fast, too fast they made And durable! And now in little space The confines met of empyrean Heaven, And of this World; and, on the left hand, Hell With long reach interposed; three several ways In sight, to each of these three places led. And now their way to Earth they had descried, To Paradise first tending; when, behold! Satan, in likeness of an Angel bright, Betwixt the Centaur and the Scorpion steering His zenith, while the sun in Aries rose: Disguised he came; but those his children dear Their parent soon discerned, though in disguise. He, after Eve seduced, unminded slunk Into the wood fast by; and, changing shape, To observe the sequel, saw his guileful act By Eve, though all unweeting, seconded Upon her husband; saw their shame that sought Vain covertures; but when he saw descend The Son of God to judge them, terrified He fled; not hoping to escape, but shun The present; fearing, guilty, what his wrath Might suddenly inflict; that past, returned By night, and listening where the hapless pair Sat in their sad discourse, and various plaint, Thence gathered his own doom; which understood Not instant, but of future time, with joy And tidings fraught, to Hell he now returned; And at the brink of Chaos, near the foot Of this new wonderous pontifice, unhoped Met, who to meet him came, his offspring dear. Great joy was at their meeting, and at sight Of that stupendious bridge his joy encreased. Long he admiring stood, till Sin, his fair Enchanting daughter, thus the silence broke. O Parent, these are thy magnifick deeds, Thy trophies! which thou viewest as not thine own; Thou art their author, and prime architect: For I no sooner in my heart divined, My heart, which by a secret harmony Still moves with thine, joined in connexion sweet, That thou on earth hadst prospered, which thy looks Now also evidence, but straight I felt, Though distant from thee worlds between, yet felt, That I must after thee, with this thy son; Such fatal consequence unites us three! Hell could no longer hold us in our bounds, Nor this unvoyageable gulf obscure Detain from following thy illustrious track. Thou hast achieved our liberty, confined Within Hell-gates till now; thou us impowered To fortify thus far, and overlay, With this portentous bridge, the dark abyss. Thine now is all this world; thy virtue hath won What thy hands builded not; thy wisdom gained With odds what war hath lost, and fully avenged Our foil in Heaven; here thou shalt monarch reign, There didst not; there let him still victor sway, As battle hath adjudged; from this new world Retiring, by his own doom alienated; And henceforth monarchy with thee divide Of all things, parted by the empyreal bounds, His quadrature, from thy orbicular world; Or try thee now more dangerous to his throne. Whom thus the Prince of darkness answered glad. Fair Daughter, and thou Son and Grandchild both; High proof ye now have given to be the race Of Satan (for I glory in the name, Antagonist of Heaven's Almighty King,) Amply have merited of me, of all The infernal empire, that so near Heaven's door Triumphal with triumphal act have met, Mine, with this glorious work; and made one realm, Hell and this world, one realm, one continent Of easy thorough-fare. Therefore, while I Descend through darkness, on your road with ease, To my associate Powers, them to acquaint With these successes, and with them rejoice; You two this way, among these numerous orbs, All yours, right down to Paradise descend; There dwell, and reign in bliss; thence on the earth Dominion exercise and in the air, Chiefly on Man, sole lord of all declared; Him first make sure your thrall, and lastly kill. My substitutes I send ye, and create Plenipotent on earth, of matchless might Issuing from me: on your joint vigour now My hold of this new kingdom all depends, Through Sin to Death exposed by my exploit. If your joint power prevail, the affairs of Hell No detriment need fear; go, and be strong! So saying he dismissed them; they with speed Their course through thickest constellations held, Spreading their bane; the blasted stars looked wan, And planets, planet-struck, real eclipse Then suffered. The other way Satan went down The causey to Hell-gate: On either side Disparted Chaos overbuilt exclaimed, And with rebounding surge the bars assailed, That scorned his indignation: Through the gate, Wide open and unguarded, Satan passed, And all about found desolate; for those, Appointed to sit there, had left their charge, Flown to the upper world; the rest were all Far to the inland retired, about the walls Of Pandemonium; city and proud seat Of Lucifer, so by allusion called Of that bright star to Satan paragoned; There kept their watch the legions, while the Grand In council sat, solicitous what chance Might intercept their emperour sent; so he Departing gave command, and they observed. As when the Tartar from his Russian foe, By Astracan, over the snowy plains, Retires; or Bactrin Sophi, from the horns Of Turkish crescent, leaves all waste beyond The realm of Aladule, in his retreat To Tauris or Casbeen: So these, the late Heaven-banished host, left desart utmost Hell Many a dark league, reduced in careful watch Round their metropolis; and now expecting Each hour their great adventurer, from the search Of foreign worlds: He through the midst unmarked, In show plebeian Angel militant Of lowest order, passed; and from the door Of that Plutonian hall, invisible Ascended his high throne; which, under state Of richest texture spread, at the upper end Was placed in regal lustre. Down a while He sat, and round about him saw unseen: At last, as from a cloud, his fulgent head And shape star-bright appeared, or brighter; clad With what permissive glory since his fall Was left him, or false glitter: All amazed At that so sudden blaze the Stygian throng Bent their aspect, and whom they wished beheld, Their mighty Chief returned: loud was the acclaim: Forth rushed in haste the great consulting peers, Raised from their dark Divan, and with like joy Congratulant approached him; who with hand Silence, and with these words attention, won. Thrones, Dominations, Princedoms, Virtues, Powers; For in possession such, not only of right, I call ye, and declare ye now; returned Successful beyond hope, to lead ye forth Triumphant out of this infernal pit Abominable, accursed, the house of woe, And dungeon of our tyrant: Now possess, As Lords, a spacious world, to our native Heaven Little inferiour, by my adventure hard With peril great achieved. Long were to tell What I have done; what suffered;with what pain Voyaged th' unreal, vast, unbounded deep Of horrible confusion; over which By Sin and Death a broad way now is paved, To expedite your glorious march; but I Toiled out my uncouth passage, forced to ride The untractable abyss, plunged in the womb Of unoriginal Night and Chaos wild; That, jealous of their secrets, fiercely opposed My journey strange, with clamorous uproar Protesting Fate supreme; thence how I found The new created world, which fame in Heaven Long had foretold, a fabrick wonderful Of absolute perfection! therein Man Placed in a Paradise, by our exile Made happy: Him by fraud I have seduced From his Creator; and, the more to encrease Your wonder, with an apple; he, thereat Offended, worth your laughter! hath given up Both his beloved Man, and all his world, To Sin and Death a prey, and so to us, Without our hazard, labour, or alarm; To range in, and to dwell, and over Man To rule, as over all he should have ruled. True is, me also he hath judged, or rather Me not, but the brute serpent in whose shape Man I deceived: that which to me belongs, Is enmity which he will put between Me and mankind; I am to bruise his heel; His seed, when is not set, shall bruise my head: A world who would not purchase with a bruise, Or much more grievous pain?--Ye have the account Of my performance: What remains, ye Gods, But up, and enter now into full bliss? So having said, a while he stood, expecting Their universal shout, and high applause, To fill his ear; when, contrary, he hears On all sides, from innumerable tongues, A dismal universal hiss, the sound Of publick scorn; he wondered, but not long Had leisure, wondering at himself now more, His visage drawn he felt to sharp and spare; His arms clung to his ribs; his legs entwining Each other, till supplanted down he fell A monstrous serpent on his belly prone, Reluctant, but in vain; a greater power Now ruled him, punished in the shape he sinned, According to his doom: he would have spoke, But hiss for hiss returned with forked tongue To forked tongue; for now were all transformed Alike, to serpents all, as accessories To his bold riot: Dreadful was the din Of hissing through the hall, thick swarming now With complicated monsters head and tail, Scorpion, and Asp, and Amphisbaena dire, Cerastes horned, Hydrus, and Elops drear, And Dipsas; (not so thick swarmed once the soil Bedropt with blood of Gorgon, or the isle Ophiusa,) but still greatest he the midst, Now Dragon grown, larger than whom the sun Ingendered in the Pythian vale or slime, Huge Python, and his power no less he seemed Above the rest still to retain; they all Him followed, issuing forth to the open field, Where all yet left of that revolted rout, Heaven-fallen, in station stood or just array; Sublime with expectation when to see In triumph issuing forth their glorious Chief; They saw, but other sight instead! a croud Of ugly serpents; horrour on them fell, And horrid sympathy; for, what they saw, They felt themselves, now changing; down their arms, Down fell both spear and shield; down they as fast; And the dire hiss renewed, and the dire form Catched, by contagion; like in punishment, As in their crime. Thus was the applause they meant, Turned to exploding hiss, triumph to shame Cast on themselves from their own mouths. There stood A grove hard by, sprung up with this their change, His will who reigns above, to aggravate Their penance, laden with fair fruit, like that Which grew in Paradise, the bait of Eve Used by the Tempter: on that prospect strange Their earnest eyes they fixed, imagining For one forbidden tree a multitude Now risen, to work them further woe or shame; Yet, parched with scalding thirst and hunger fierce, Though to delude them sent, could not abstain; But on they rolled in heaps, and, up the trees Climbing, sat thicker than the snaky locks That curled Megaera: greedily they plucked The fruitage fair to sight, like that which grew Near that bituminous lake where Sodom flamed; This more delusive, not the touch, but taste Deceived; they, fondly thinking to allay Their appetite with gust, instead of fruit Chewed bitter ashes, which the offended taste With spattering noise rejected: oft they assayed, Hunger and thirst constraining; drugged as oft, With hatefullest disrelish writhed their jaws, With soot and cinders filled; so oft they fell Into the same illusion, not as Man Whom they triumphed once lapsed. Thus were they plagued And worn with famine, long and ceaseless hiss, Till their lost shape, permitted, they resumed; Yearly enjoined, some say, to undergo, This annual humbling certain numbered days, To dash their pride, and joy, for Man seduced. However, some tradition they dispersed Among the Heathen, of their purchase got, And fabled how the Serpent, whom they called Ophion, with Eurynome, the wide-- Encroaching Eve perhaps, had first the rule Of high Olympus; thence by Saturn driven And Ops, ere yet Dictaean Jove was born. Mean while in Paradise the hellish pair Too soon arrived; Sin, there in power before, Once actual; now in body, and to dwell Habitual habitant; behind her Death, Close following pace for pace, not mounted yet On his pale horse: to whom Sin thus began. Second of Satan sprung, all-conquering Death! What thinkest thou of our empire now, though earned With travel difficult, not better far Than still at Hell's dark threshold to have sat watch, Unnamed, undreaded, and thyself half starved? Whom thus the Sin-born monster answered soon. To me, who with eternal famine pine, Alike is Hell, or Paradise, or Heaven; There best, where most with ravine I may meet; Which here, though plenteous, all too little seems To stuff this maw, this vast unhide-bound corps. To whom the incestuous mother thus replied. Thou therefore on these herbs, and fruits, and flowers, Feed first; on each beast next, and fish, and fowl; No homely morsels! and, whatever thing The sithe of Time mows down, devour unspared; Till I, in Man residing, through the race, His thoughts, his looks, words, actions, all infect; And season him thy last and sweetest prey. This said, they both betook them several ways, Both to destroy, or unimmortal make All kinds, and for destruction to mature Sooner or later; which the Almighty seeing, From his transcendent seat the Saints among, To those bright Orders uttered thus his voice. See, with what heat these dogs of Hell advance To waste and havock yonder world, which I So fair and good created; and had still Kept in that state, had not the folly of Man Let in these wasteful furies, who impute Folly to me; so doth the Prince of Hell And his adherents, that with so much ease I suffer them to enter and possess A place so heavenly; and, conniving, seem To gratify my scornful enemies, That laugh, as if, transported with some fit Of passion, I to them had quitted all, At random yielded up to their misrule; And know not that I called, and drew them thither, My Hell-hounds, to lick up the draff and filth Which Man's polluting sin with taint hath shed On what was pure; til, crammed and gorged, nigh burst With sucked and glutted offal, at one sling Of thy victorious arm, well-pleasing Son, Both Sin, and Death, and yawning Grave, at last, Through Chaos hurled, obstruct the mouth of Hell For ever, and seal up his ravenous jaws. Then Heaven and Earth renewed shall be made pure To sanctity, that shall receive no stain: Till then, the curse pronounced on both precedes. He ended, and the heavenly audience loud Sung Halleluiah, as the sound of seas, Through multitude that sung: Just are thy ways, Righteous are thy decrees on all thy works; Who can extenuate thee? Next, to the Son, Destined Restorer of mankind, by whom New Heaven and Earth shall to the ages rise, Or down from Heaven descend.--Such was their song; While the Creator, calling forth by name His mighty Angels, gave them several charge, As sorted best with present things. The sun Had first his precept so to move, so shine, As might affect the earth with cold and heat Scarce tolerable; and from the north to call Decrepit winter; from the south to bring Solstitial summer's heat. To the blanc moon Her office they prescribed; to the other five Their planetary motions, and aspects, In sextile, square, and trine, and opposite, Of noxious efficacy, and when to join In synod unbenign; and taught the fixed Their influence malignant when to shower, Which of them rising with the sun, or falling, Should prove tempestuous: To the winds they set Their corners, when with bluster to confound Sea, air, and shore; the thunder when to roll With terrour through the dark aereal hall. Some say, he bid his Angels turn ascanse The poles of earth, twice ten degrees and more, From the sun's axle; they with labour pushed Oblique the centrick globe: Some say, the sun Was bid turn reins from the equinoctial road Like distant breadth to Taurus with the seven Atlantick Sisters, and the Spartan Twins, Up to the Tropick Crab: thence down amain By Leo, and the Virgin, and the Scales, As deep as Capricorn; to bring in change Of seasons to each clime; else had the spring Perpetual smiled on earth with vernant flowers, Equal in days and nights, except to those Beyond the polar circles; to them day Had unbenighted shone, while the low sun, To recompense his distance, in their sight Had rounded still the horizon, and not known Or east or west; which had forbid the snow From cold Estotiland, and south as far Beneath Magellan. At that tasted fruit The sun, as from Thyestean banquet, turned His course intended; else, how had the world Inhabited, though sinless, more than now, Avoided pinching cold and scorching heat? These changes in the Heavens, though slow, produced Like change on sea and land; sideral blast, Vapour, and mist, and exhalation hot, Corrupt and pestilent: Now from the north Of Norumbega, and the Samoed shore, Bursting their brazen dungeon, armed with ice, And snow, and hail, and stormy gust and flaw, Boreas, and Caecias, and Argestes loud, And Thrascias, rend the woods, and seas upturn; With adverse blast upturns them from the south Notus, and Afer black with thunderous clouds From Serraliona; thwart of these, as fierce, Forth rush the Levant and the Ponent winds, Eurus and Zephyr, with their lateral noise, Sirocco and Libecchio. Thus began Outrage from lifeless things; but Discord first, Daughter of Sin, among the irrational Death introduced, through fierce antipathy: Beast now with beast 'gan war, and fowl with fowl, And fish with fish; to graze the herb all leaving, Devoured each other; nor stood much in awe Of Man, but fled him; or, with countenance grim, Glared on him passing. These were from without The growing miseries, which Adam saw Already in part, though hid in gloomiest shade, To sorrow abandoned, but worse felt within; And, in a troubled sea of passion tost, Thus to disburden sought with sad complaint. O miserable of happy! Is this the end Of this new glorious world, and me so late The glory of that glory, who now become Accursed, of blessed? hide me from the face Of God, whom to behold was then my highth Of happiness!--Yet well, if here would end The misery; I deserved it, and would bear My own deservings; but this will not serve: All that I eat or drink, or shall beget, Is propagated curse. O voice, once heard Delightfully, Encrease and multiply; Now death to hear! for what can I encrease, Or multiply, but curses on my head? Who of all ages to succeed, but, feeling The evil on him brought by me, will curse My head? Ill fare our ancestor impure, For this we may thank Adam! but his thanks Shall be the execration: so, besides Mine own that bide upon me, all from me Shall with a fierce reflux on me rebound; On me, as on their natural center, light Heavy, though in their place. O fleeting joys Of Paradise, dear bought with lasting woes! Did I request thee, Maker, from my clay To mould me Man? did I solicit thee From darkness to promote me, or here place In this delicious garden? As my will Concurred not to my being, it were but right And equal to reduce me to my dust; Desirous to resign and render back All I received; unable to perform Thy terms too hard, by which I was to hold The good I sought not. To the loss of that, Sufficient penalty, why hast thou added The sense of endless woes? Inexplicable Why am I mocked with death, and lengthened out To deathless pain? How gladly would I meet Mortality my sentence, and be earth Insensible! How glad would lay me down As in my mother's lap! There I should rest, And sleep secure; his dreadful voice no more Would thunder in my ears; no fear of worse To me, and to my offspring, would torment me With cruel expectation. Yet one doubt Pursues me still, lest all I cannot die; Lest that pure breath of life, the spirit of Man Which God inspired, cannot together perish With this corporeal clod; then, in the grave, Or in some other dismal place, who knows But I shall die a living death? O thought Horrid, if true! Yet why? It was but breath Of life that sinned; what dies but what had life And sin? The body properly had neither, All of me then shall die: let this appease The doubt, since human reach no further knows. For though the Lord of all be infinite, Is his wrath also? Be it, Man is not so, But mortal doomed. How can he exercise Wrath without end on Man, whom death must end? Can he make deathless death? That were to make Strange contradiction, which to God himself Impossible is held; as argument Of weakness, not of power. Will he draw out, For anger's sake, finite to infinite, In punished Man, to satisfy his rigour, Satisfied never? That were to extend His sentence beyond dust and Nature's law; By which all causes else, according still To the reception of their matter, act; Not to the extent of their own sphere. But say That death be not one stroke, as I supposed, Bereaving sense, but endless misery From this day onward; which I feel begun Both in me, and without me; and so last To perpetuity;--Ay me!that fear Comes thundering back with dreadful revolution On my defenceless head; both Death and I Am found eternal, and incorporate both; Nor I on my part single; in me all Posterity stands cursed: Fair patrimony That I must leave ye, Sons! O, were I able To waste it all myself, and leave ye none! So disinherited, how would you bless Me, now your curse! Ah, why should all mankind, For one man's fault, thus guiltless be condemned, It guiltless? But from me what can proceed, But all corrupt; both mind and will depraved Not to do only, but to will the same With me? How can they then acquitted stand In sight of God? Him, after all disputes, Forced I absolve: all my evasions vain, And reasonings, though through mazes, lead me still But to my own conviction: first and last On me, me only, as the source and spring Of all corruption, all the blame lights due; So might the wrath! Fond wish!couldst thou support That burden, heavier than the earth to bear; Than all the world much heavier, though divided With that bad Woman? Thus, what thou desirest, And what thou fearest, alike destroys all hope Of refuge, and concludes thee miserable Beyond all past example and future; To Satan only like both crime and doom. O Conscience! into what abyss of fears And horrours hast thou driven me; out of which I find no way, from deep to deeper plunged! Thus Adam to himself lamented loud, Through the still night; not now, as ere Man fell, Wholesome, and cool, and mild, but with black air Accompanied; with damps, and dreadful gloom; Which to his evil conscience represented All things with double terrour: On the ground Outstretched he lay, on the cold ground; and oft Cursed his creation; Death as oft accused Of tardy execution, since denounced The day of his offence. Why comes not Death, Said he, with one thrice-acceptable stroke To end me? Shall Truth fail to keep her word, Justice Divine not hasten to be just? But Death comes not at call; Justice Divine Mends not her slowest pace for prayers or cries, O woods, O fountains, hillocks, dales, and bowers! With other echo late I taught your shades To answer, and resound far other song.-- Whom thus afflicted when sad Eve beheld, Desolate where she sat, approaching nigh, Soft words to his fierce passion she assayed: But her with stern regard he thus repelled. Out of my sight, thou Serpent! That name best Befits thee with him leagued, thyself as false And hateful; nothing wants, but that thy shape, Like his, and colour serpentine, may show Thy inward fraud; to warn all creatures from thee Henceforth; lest that too heavenly form, pretended To hellish falshood, snare them! But for thee I had persisted happy; had not thy pride And wandering vanity, when least was safe, Rejected my forewarning, and disdained Not to be trusted; longing to be seen, Though by the Devil himself; him overweening To over-reach; but, with the serpent meeting, Fooled and beguiled; by him thou, I by thee To trust thee from my side; imagined wise, Constant, mature, proof against all assaults; And understood not all was but a show, Rather than solid virtue; all but a rib Crooked by nature, bent, as now appears, More to the part sinister, from me drawn; Well if thrown out, as supernumerary To my just number found. O! why did God, Creator wise, that peopled highest Heaven With Spirits masculine, create at last This novelty on earth, this fair defect Of nature, and not fill the world at once With Men, as Angels, without feminine; Or find some other way to generate Mankind? This mischief had not been befallen, And more that shall befall; innumerable Disturbances on earth through female snares, And strait conjunction with this sex: for either He never shall find out fit mate, but such As some misfortune brings him, or mistake; Or whom he wishes most shall seldom gain Through her perverseness, but shall see her gained By a far worse; or, if she love, withheld By parents; or his happiest choice too late Shall meet, already linked and wedlock-bound To a fell adversary, his hate or shame: Which infinite calamity shall cause To human life, and houshold peace confound. He added not, and from her turned; but Eve, Not so repulsed, with tears that ceased not flowing And tresses all disordered, at his feet Fell humble; and, embracing them, besought His peace, and thus proceeded in her plaint. Forsake me not thus, Adam! witness Heaven What love sincere, and reverence in my heart I bear thee, and unweeting have offended, Unhappily deceived! Thy suppliant I beg, and clasp thy knees; bereave me not, Whereon I live, thy gentle looks, thy aid, Thy counsel, in this uttermost distress, My only strength and stay: Forlorn of thee, Whither shall I betake me, where subsist? While yet we live, scarce one short hour perhaps, Between us two let there be peace; both joining, As joined in injuries, one enmity Against a foe by doom express assigned us, That cruel Serpent: On me exercise not Thy hatred for this misery befallen; On me already lost, me than thyself More miserable! Both have sinned;but thou Against God only; I against God and thee; And to the place of judgement will return, There with my cries importune Heaven; that all The sentence, from thy head removed, may light On me, sole cause to thee of all this woe; Me, me only, just object of his ire! She ended weeping; and her lowly plight, Immoveable, till peace obtained from fault Acknowledged and deplored, in Adam wrought Commiseration: Soon his heart relented Towards her, his life so late, and sole delight, Now at his feet submissive in distress; Creature so fair his reconcilement seeking, His counsel, whom she had displeased, his aid: As one disarmed, his anger all he lost, And thus with peaceful words upraised her soon. Unwary, and too desirous, as before, So now of what thou knowest not, who desirest The punishment all on thyself; alas! Bear thine own first, ill able to sustain His full wrath, whose thou feelest as yet least part, And my displeasure bearest so ill. If prayers Could alter high decrees, I to that place Would speed before thee, and be louder heard, That on my head all might be visited; Thy frailty and infirmer sex forgiven, To me committed, and by me exposed. But rise;--let us no more contend, nor blame Each other, blamed enough elsewhere; but strive In offices of love, how we may lighten Each other's burden, in our share of woe; Since this day's death denounced, if aught I see, Will prove no sudden, but a slow-paced evil; A long day's dying, to augment our pain; And to our seed (O hapless seed!) derived. To whom thus Eve, recovering heart, replied. Adam, by sad experiment I know How little weight my words with thee can find, Found so erroneous; thence by just event Found so unfortunate: Nevertheless, Restored by thee, vile as I am, to place Of new acceptance, hopeful to regain Thy love, the sole contentment of my heart Living or dying, from thee I will not hide What thoughts in my unquiet breast are risen, Tending to some relief of our extremes, Or end; though sharp and sad, yet tolerable, As in our evils, and of easier choice. If care of our descent perplex us most, Which must be born to certain woe, devoured By Death at last; and miserable it is To be to others cause of misery, Our own begotten, and of our loins to bring Into this cursed world a woeful race, That after wretched life must be at last Food for so foul a monster; in thy power It lies, yet ere conception to prevent The race unblest, to being yet unbegot. Childless thou art, childless remain: so Death Shall be deceived his glut, and with us two Be forced to satisfy his ravenous maw. But if thou judge it hard and difficult, Conversing, looking, loving, to abstain From love's due rights, nuptial embraces sweet; And with desire to languish without hope, Before the present object languishing With like desire; which would be misery And torment less than none of what we dread; Then, both ourselves and seed at once to free From what we fear for both, let us make short, -- Let us seek Death; -- or, he not found, supply With our own hands his office on ourselves: Why stand we longer shivering under fears, That show no end but death, and have the power, Of many ways to die the shortest choosing, Destruction with destruction to destroy? -- She ended here, or vehement despair Broke off the rest: so much of death her thoughts Had entertained, as dyed her cheeks with pale. But Adam, with such counsel nothing swayed, To better hopes his more attentive mind Labouring had raised; and thus to Eve replied. Eve, thy contempt of life and pleasure seems To argue in thee something more sublime And excellent, than what thy mind contemns; But self-destruction therefore sought, refutes That excellence thought in thee; and implies, Not thy contempt, but anguish and regret For loss of life and pleasure overloved. Or if thou covet death, as utmost end Of misery, so thinking to evade The penalty pronounced; doubt not but God Hath wiselier armed his vengeful ire, than so To be forestalled; much more I fear lest death, So snatched, will not exempt us from the pain We are by doom to pay; rather, such acts Of contumacy will provoke the Highest To make death in us live: Then let us seek Some safer resolution, which methinks I have in view, calling to mind with heed Part of our sentence, that thy seed shall bruise The Serpent's head; piteous amends! unless Be meant, whom I conjecture, our grand foe, Satan; who, in the serpent, hath contrived Against us this deceit: To crush his head Would be revenge indeed! which will be lost By death brought on ourselves, or childless days Resolved, as thou proposest; so our foe Shal 'scape his punishment ordained, and we Instead shall double ours upon our heads. No more be mentioned then of violence Against ourselves; and wilful barrenness, That cuts us off from hope; and savours only Rancour and pride, impatience and despite, Reluctance against God and his just yoke Laid on our necks. Remember with what mild And gracious temper he both heard, and judged, Without wrath or reviling; we expected Immediate dissolution, which we thought Was meant by death that day; when lo!to thee Pains only in child-bearing were foretold, And bringing forth; soon recompensed with joy, Fruit of thy womb: On me the curse aslope Glanced on the ground; with labour I must earn My bread; what harm? Idleness had been worse; My labour will sustain me; and, lest cold Or heat should injure us, his timely care Hath, unbesought, provided; and his hands Clothed us unworthy, pitying while he judged; How much more, if we pray him, will his ear Be open, and his heart to pity incline, And teach us further by what means to shun The inclement seasons, rain, ice, hail, and snow! Which now the sky, with various face, begins To show us in this mountain; while the winds Blow moist and keen, shattering the graceful locks Of these fair spreading trees; which bids us seek Some better shroud, some better warmth to cherish Our limbs benummed, ere this diurnal star Leave cold the night, how we his gathered beams Reflected may with matter sere foment; Or, by collision of two bodies, grind The air attrite to fire; as late the clouds Justling, or pushed with winds, rude in their shock, Tine the slant lightning; whose thwart flame, driven down Kindles the gummy bark of fir or pine; And sends a comfortable heat from far, Which might supply the sun: Such fire to use, And what may else be remedy or cure To evils which our own misdeeds have wrought, He will instruct us praying, and of grace Beseeching him; so as we need not fear To pass commodiously this life, sustained By him with many comforts, till we end In dust, our final rest and native home. What better can we do, than, to the place Repairing where he judged us, prostrate fall Before him reverent; and there confess Humbly our faults, and pardon beg; with tears Watering the ground, and with our sighs the air Frequenting, sent from hearts contrite, in sign Of sorrow unfeigned, and humiliation meek Book XI Undoubtedly he will relent, and turn From his displeasure; in whose look serene, When angry most he seemed and most severe, What else but favour, grace, and mercy, shone? So spake our father penitent; nor Eve Felt less remorse: they, forthwith to the place Repairing where he judged them, prostrate fell Before him reverent; and both confessed Humbly their faults, and pardon begged; with tears Watering the ground, and with their sighs the air Frequenting, sent from hearts contrite, in sign Of sorrow unfeigned, and humiliation meek. Thus they, in lowliest plight, repentant stood Praying; for from the mercy-seat above Prevenient grace descending had removed The stony from their hearts, and made new flesh Regenerate grow instead; that sighs now breathed Unutterable; which the Spirit of prayer Inspired, and winged for Heaven with speedier flight Than loudest oratory: Yet their port Not of mean suitors; nor important less Seemed their petition, than when the ancient pair In fables old, less ancient yet than these, Deucalion and chaste Pyrrha, to restore The race of mankind drowned, before the shrine Of Themis stood devout. To Heaven their prayers Flew up, nor missed the way, by envious winds Blown vagabond or frustrate: in they passed Dimensionless through heavenly doors; then clad With incense, where the golden altar fumed, By their great intercessour, came in sight Before the Father's throne: them the glad Son Presenting, thus to intercede began. See$ Father, what first-fruits on earth are sprung From thy implanted grace in Man; these sighs And prayers, which in this golden censer mixed With incense, I thy priest before thee bring; Fruits of more pleasing savour, from thy seed Sown with contrition in his heart, than those Which, his own hand manuring, all the trees Of Paradise could have produced, ere fallen From innocence. Now therefore, bend thine ear To supplication; hear his sighs, though mute; Unskilful with what words to pray, let me Interpret for him; me, his advocate And propitiation; all his works on me, Good, or not good, ingraft; my merit those Shall perfect, and for these my death shall pay. Accept me; and, in me, from these receive The smell of peace toward mankind: let him live Before thee reconciled, at least his days Numbered, though sad; till death, his doom, (which I To mitigate thus plead, not to reverse,) To better life shall yield him: where with me All my redeemed may dwell in joy and bliss; Made one with me, as I with thee am one. To whom the Father, without cloud, serene. All thy request for Man, accepted Son, Obtain; all thy request was my decree: But, longer in that Paradise to dwell, The law I gave to Nature him forbids: Those pure immortal elements, that know, No gross, no unharmonious mixture foul, Eject him, tainted now; and purge him off, As a distemper, gross, to air as gross, And mortal food; as may dispose him best For dissolution wrought by sin, that first Distempered all things, and of incorrupt Corrupted. I, at first, with two fair gifts Created him endowed; with happiness, And immortality: that fondly lost, This other served but to eternize woe; Till I provided death: so death becomes His final remedy; and, after life, Tried in sharp tribulation, and refined By faith and faithful works, to second life, Waked in the renovation of the just, Resigns him up with Heaven and Earth renewed. But let us call to synod all the Blest, Through Heaven's wide bounds: from them I will not hide My judgements; how with mankind I proceed, As how with peccant Angels late they saw, And in their state, though firm, stood more confirmed. He ended, and the Son gave signal high To the bright minister that watched; he blew His trumpet, heard in Oreb since perhaps When God descended, and perhaps once more To sound at general doom. The angelick blast Filled all the regions: from their blisful bowers Of amarantine shade, fountain or spring, By the waters of life, where'er they sat In fellowships of joy, the sons of light Hasted, resorting to the summons high; And took their seats; till from his throne supreme The Almighty thus pronounced his sovran will. O Sons, like one of us Man is become To know both good and evil, since his taste Of that defended fruit; but let him boast His knowledge of good lost, and evil got; Happier! had it sufficed him to have known Good by itself, and evil not at all. He sorrows now, repents, and prays contrite, My motions in him; longer than they move, His heart I know, how variable and vain, Self-left. Lest therefore his now bolder hand Reach also of the tree of life, and eat, And live for ever, dream at least to live For ever, to remove him I decree, And send him from the garden forth to till The ground whence he was taken, fitter soil. Michael, this my behest have thou in charge; Take to thee from among the Cherubim Thy choice of flaming warriours, lest the Fiend, Or in behalf of Man, or to invade Vacant possession, some new trouble raise: Haste thee, and from the Paradise of God Without remorse drive out the sinful pair; From hallowed ground the unholy; and denounce To them, and to their progeny, from thence Perpetual banishment. Yet, lest they faint At the sad sentence rigorously urged, (For I behold them softened, and with tears Bewailing their excess,) all terrour hide. If patiently thy bidding they obey, Dismiss them not disconsolate; reveal To Adam what shall come in future days, As I shall thee enlighten; intermix My covenant in the Woman's seed renewed; So send them forth, though sorrowing, yet in peace: And on the east side of the garden place, Where entrance up from Eden easiest climbs, Cherubick watch; and of a sword the flame Wide-waving; all approach far off to fright, And guard all passage to the tree of life: Lest Paradise a receptacle prove To Spirits foul, and all my trees their prey; With whose stolen fruit Man once more to delude. He ceased; and the arch-angelick Power prepared For swift descent; with him the cohort bright Of watchful Cherubim: four faces each Had, like a double Janus; all their shape Spangled with eyes more numerous than those Of Argus, and more wakeful than to drouse, Charmed with Arcadian pipe, the pastoral reed Of Hermes, or his opiate rod. Mean while, To re-salute the world with sacred light, Leucothea waked; and with fresh dews imbalmed The earth; when Adam and first matron Eve Had ended now their orisons, and found Strength added from above; new hope to spring Out of despair; joy, but with fear yet linked; Which thus to Eve his welcome words renewed. Eve, easily my faith admit, that all The good which we enjoy from Heaven descends; But, that from us aught should ascend to Heaven So prevalent as to concern the mind Of God high-blest, or to incline his will, Hard to belief may seem; yet this will prayer Or one short sigh of human breath, upborne Even to the seat of God. For since I sought By prayer the offended Deity to appease; Kneeled, and before him humbled all my heart; Methought I saw him placable and mild, Bending his ear; persuasion in me grew That I was heard with favour; peace returned Home to my breast, and to my memory His promise, that thy seed shall bruise our foe; Which, then not minded in dismay, yet now Assures me that the bitterness of death Is past, and we shall live. Whence hail to thee, Eve rightly called, mother of all mankind, Mother of all things living, since by thee Man is to live; and all things live for Man. To whom thus Eve with sad demeanour meek. Ill-worthy I such title should belong To me transgressour; who, for thee ordained A help, became thy snare; to me reproach Rather belongs, distrust, and all dispraise: But infinite in pardon was my Judge, That I, who first brought death on all, am graced The source of life; next favourable thou, Who highly thus to entitle me vouchsaf'st, Far other name deserving. But the field To labour calls us, now with sweat imposed, Though after sleepless night; for see!the morn, All unconcerned with our unrest, begins Her rosy progress smiling: let us forth; I never from thy side henceforth to stray, Where'er our day's work lies, though now enjoined Laborious, till day droop; while here we dwell, What can be toilsome in these pleasant walks? Here let us live, though in fallen state, content. So spake, so wished much humbled Eve; but Fate Subscribed not: Nature first gave signs, impressed On bird, beast, air; air suddenly eclipsed, After short blush of morn; nigh in her sight The bird of Jove, stooped from his aery tour, Two birds of gayest plume before him drove; Down from a hill the beast that reigns in woods, First hunter then, pursued a gentle brace, Goodliest of all the forest, hart and hind; Direct to the eastern gate was bent their flight. Adam observed, and with his eye the chase Pursuing, not unmoved, to Eve thus spake. O Eve, some further change awaits us nigh, Which Heaven, by these mute signs in Nature, shows Forerunners of his purpose; or to warn Us, haply too secure, of our discharge From penalty, because from death released Some days: how long, and what till then our life, Who knows? or more than this, that we are dust, And thither must return, and be no more? Why else this double object in our sight Of flight pursued in the air, and o'er the ground, One way the self-same hour? why in the east Darkness ere day's mid-course, and morning-light More orient in yon western cloud, that draws O'er the blue firmament a radiant white, And slow descends with something heavenly fraught? He erred not; for by this the heavenly bands Down from a sky of jasper lighted now In Paradise, and on a hill made halt; A glorious apparition, had not doubt And carnal fear that day dimmed Adam's eye. Not that more glorious, when the Angels met Jacob in Mahanaim, where he saw The field pavilioned with his guardians bright; Nor that, which on the flaming mount appeared In Dothan, covered with a camp of fire, Against the Syrian king, who to surprise One man, assassin-like, had levied war, War unproclaimed. The princely Hierarch In their bright stand there left his Powers, to seise Possession of the garden; he alone, To find where Adam sheltered, took his way, Not unperceived of Adam; who to Eve, While the great visitant approached, thus spake. Eve$ now expect great tidings, which perhaps Of us will soon determine, or impose New laws to be observed; for I descry, From yonder blazing cloud that veils the hill, One of the heavenly host; and, by his gait, None of the meanest; some great Potentate Or of the Thrones above; such majesty Invests him coming! yet not terrible, That I should fear; nor sociably mild, As Raphael, that I should much confide; But solemn and sublime; whom not to offend, With reverence I must meet, and thou retire. He ended: and the Arch-Angel soon drew nigh, Not in his shape celestial, but as man Clad to meet man; over his lucid arms A military vest of purple flowed, Livelier than Meliboean, or the grain Of Sarra, worn by kings and heroes old In time of truce; Iris had dipt the woof; His starry helm unbuckled showed him prime In manhood where youth ended; by his side, As in a glistering zodiack, hung the sword, Satan's dire dread; and in his hand the spear. Adam bowed low; he, kingly, from his state Inclined not, but his coming thus declared. Adam, Heaven's high behest no preface needs: Sufficient that thy prayers are heard; and Death, Then due by sentence when thou didst transgress, Defeated of his seisure many days Given thee of grace; wherein thou mayest repent, And one bad act with many deeds well done Mayest cover: Well may then thy Lord, appeased, Redeem thee quite from Death's rapacious claim; But longer in this Paradise to dwell Permits not: to remove thee I am come, And send thee from the garden forth to till The ground whence thou wast taken, fitter soil. He added not; for Adam at the news Heart-struck with chilling gripe of sorrow stood, That all his senses bound; Eve, who unseen Yet all had heard, with audible lament Discovered soon the place of her retire. O unexpected stroke, worse than of Death! Must I thus leave thee$ Paradise? thus leave Thee, native soil! these happy walks and shades, Fit haunt of Gods? where I had hope to spend, Quiet though sad, the respite of that day That must be mortal to us both. O flowers, That never will in other climate grow, My early visitation, and my last ;t even, which I bred up with tender hand From the first opening bud, and gave ye names! Who now shall rear ye to the sun, or rank Your tribes, and water from the ambrosial fount? Thee lastly, nuptial bower! by me adorned With what to sight or smell was sweet! from thee How shall I part, and whither wander down Into a lower world; to this obscure And wild? how shall we breathe in other air Less pure, accustomed to immortal fruits? Whom thus the Angel interrupted mild. Lament not, Eve, but patiently resign What justly thou hast lost, nor set thy heart, Thus over-fond, on that which is not thine: Thy going is not lonely; with thee goes Thy husband; whom to follow thou art bound; Where he abides, think there thy native soil. Adam, by this from the cold sudden damp Recovering, and his scattered spirits returned, To Michael thus his humble words addressed. Celestial, whether among the Thrones, or named Of them the highest; for such of shape may seem Prince above princes! gently hast thou told Thy message, which might else in telling wound, And in performing end us; what besides Of sorrow, and dejection, and despair, Our frailty can sustain, thy tidings bring, Departure from this happy place, our sweet Recess, and only consolation left Familiar to our eyes! all places else Inhospitable appear, and desolate; Nor knowing us, nor known: And, if by prayer Incessant I could hope to change the will Of Him who all things can, I would not cease To weary him with my assiduous cries: But prayer against his absolute decree No more avails than breath against the wind, Blown stifling back on him that breathes it forth: Therefore to his great bidding I submit. This most afflicts me, that, departing hence, As from his face I shall be hid, deprived His blessed countenance: Here I could frequent With worship place by place where he vouchsafed Presence Divine; and to my sons relate, 'On this mount he appeared; under this tree 'Stood visible; among these pines his voice 'I heard; here with him at this fountain talked: So many grateful altars I would rear Of grassy turf, and pile up every stone Of lustre from the brook, in memory, Or monument to ages; and theron Offer sweet-smelling gums, and fruits, and flowers: In yonder nether world where shall I seek His bright appearances, or foot-step trace? For though I fled him angry, yet recalled To life prolonged and promised race, I now Gladly behold though but his utmost skirts Of glory; and far off his steps adore. To whom thus Michael with regard benign. Adam, thou knowest Heaven his, and all the Earth; Not this rock only; his Omnipresence fills Land, sea, and air, and every kind that lives, Fomented by his virtual power and warmed: All the earth he gave thee to possess and rule, No despicable gift; surmise not then His presence to these narrow bounds confined Of Paradise, or Eden: this had been Perhaps thy capital seat, from whence had spread All generations; and had hither come From all the ends of the earth, to celebrate And reverence thee, their great progenitor. But this pre-eminence thou hast lost, brought down To dwell on even ground now with thy sons: Yet doubt not but in valley, and in plain, God is, as here; and will be found alike Present; and of his presence many a sign Still following thee, still compassing thee round With goodness and paternal love, his face Express, and of his steps the track divine. Which that thou mayest believe, and be confirmed Ere thou from hence depart; know, I am sent To show thee what shall come in future days To thee, and to thy offspring: good with bad Expect to hear; supernal grace contending With sinfulness of men; thereby to learn True patience, and to temper joy with fear And pious sorrow; equally inured By moderation either state to bear, Prosperous or adverse: so shalt thou lead Safest thy life, and best prepared endure Thy mortal passage when it comes.--Ascend This hill; let Eve (for I have drenched her eyes) Here sleep below; while thou to foresight wakest; As once thou sleptst, while she to life was formed. To whom thus Adam gratefully replied. Ascend, I follow thee, safe Guide, the path Thou leadest me; and to the hand of Heaven submit, However chastening; to the evil turn My obvious breast; arming to overcome By suffering, and earn rest from labour won, If so I may attain. -- So both ascend In the visions of God. It was a hill, Of Paradise the highest; from whose top The hemisphere of earth, in clearest ken, Stretched out to the amplest reach of prospect lay. Not higher that hill, nor wider looking round, Whereon, for different cause, the Tempter set Our second Adam, in the wilderness; To show him all Earth's kingdoms, and their glory. His eye might there command wherever stood City of old or modern fame, the seat Of mightiest empire, from the destined walls Of Cambalu, seat of Cathaian Can, And Samarchand by Oxus, Temir's throne, To Paquin of Sinaean kings; and thence To Agra and Lahor of great Mogul, Down to the golden Chersonese; or where The Persian in Ecbatan sat, or since In Hispahan; or where the Russian Ksar In Mosco; or the Sultan in Bizance, Turchestan-born; nor could his eye not ken The empire of Negus to his utmost port Ercoco, and the less maritim kings Mombaza, and Quiloa, and Melind, And Sofala, thought Ophir, to the realm Of Congo, and Angola farthest south; Or thence from Niger flood to Atlas mount The kingdoms of Almansor, Fez and Sus, Morocco, and Algiers, and Tremisen; On Europe thence, and where Rome was to sway The world: in spirit perhaps he also saw Rich Mexico, the seat of Montezume, And Cusco in Peru, the richer seat Of Atabalipa; and yet unspoiled Guiana, whose great city Geryon's sons Call El Dorado. But to nobler sights Michael from Adam's eyes the film removed, Which that false fruit that promised clearer sight Had bred; then purged with euphrasy and rue The visual nerve, for he had much to see; And from the well of life three drops instilled. So deep the power of these ingredients pierced, Even to the inmost seat of mental sight, That Adam, now enforced to close his eyes, Sunk down, and all his spirits became entranced; But him the gentle Angel by the hand Soon raised, and his attention thus recalled. Adam, now ope thine eyes; and first behold The effects, which thy original crime hath wrought In some to spring from thee; who never touched The excepted tree; nor with the snake conspired; Nor sinned thy sin; yet from that sin derive Corruption, to bring forth more violent deeds. His eyes he opened, and beheld a field, Part arable and tilth, whereon were sheaves New reaped; the other part sheep-walks and folds; I' the midst an altar as the land-mark stood, Rustick, of grassy sord; thither anon A sweaty reaper from his tillage brought First fruits, the green ear, and the yellow sheaf, Unculled, as came to hand; a shepherd next, More meek, came with the firstlings of his flock, Choicest and best; then, sacrificing, laid The inwards and their fat, with incense strowed, On the cleft wood, and all due rights performed: His offering soon propitious fire from Heaven Consumed with nimble glance, and grateful steam; The other's not, for his was not sincere; Whereat he inly raged, and, as they talked, Smote him into the midriff with a stone That beat out life; he fell;and, deadly pale, Groaned out his soul with gushing blood effused. Much at that sight was Adam in his heart Dismayed, and thus in haste to the Angel cried. O Teacher, some great mischief hath befallen To that meek man, who well had sacrificed; Is piety thus and pure devotion paid? To whom Michael thus, he also moved, replied. These two are brethren, Adam, and to come Out of thy loins; the unjust the just hath slain, For envy that his brother's offering found From Heaven acceptance; but the bloody fact Will be avenged; and the other's faith, approved, Lose no reward; though here thou see him die, Rolling in dust and gore. To which our sire. Alas! both for the deed, and for the cause! But have I now seen Death? Is this the way I must return to native dust? O sight Of terrour, foul and ugly to behold, Horrid to think, how horrible to feel! To whom thus Michael. Death thou hast seen In his first shape on Man; but many shapes Of Death, and many are the ways that lead To his grim cave, all dismal; yet to sense More terrible at the entrance, than within. Some, as thou sawest, by violent stroke shall die; By fire, flood, famine, by intemperance more In meats and drinks, which on the earth shall bring Diseases dire, of which a monstrous crew Before thee shall appear; that thou mayest know What misery the inabstinence of Eve Shall bring on Men. Immediately a place Before his eyes appeared, sad, noisome, dark; A lazar-house it seemed; wherein were laid Numbers of all diseased; all maladies Of ghastly spasm, or racking torture, qualms Of heart-sick agony, all feverous kinds, Convulsions, epilepsies, fierce catarrhs, Intestine stone and ulcer, colick-pangs, Demoniack phrenzy, moaping melancholy, And moon-struck madness, pining atrophy, Marasmus, and wide-wasting pestilence, Dropsies, and asthmas, and joint-racking rheums. Dire was the tossing, deep the groans; Despair Tended the sick busiest from couch to couch; And over them triumphant Death his dart Shook, but delayed to strike, though oft invoked With vows, as their chief good, and final hope. Sight so deform what heart of rock could long Dry-eyed behold? Adam could not, but wept, Though not of woman born; compassion quelled His best of man, and gave him up to tears A space, till firmer thoughts restrained excess; And, scarce recovering words, his plaint renewed. O miserable mankind, to what fall Degraded, to what wretched state reserved! Better end here unborn. Why is life given To be thus wrested from us? rather, why Obtruded on us thus? who, if we knew What we receive, would either no accept Life offered, or soon beg to lay it down; Glad to be so dismissed in peace. Can thus The image of God in Man, created once So goodly and erect, though faulty since, To such unsightly sufferings be debased Under inhuman pains? Why should not Man, Retaining still divine similitude In part, from such deformities be free, And, for his Maker's image sake, exempt? Their Maker's image, answered Michael, then Forsook them, when themselves they vilified To serve ungoverned Appetite; and took His image whom they served, a brutish vice, Inductive mainly to the sin of Eve. Therefore so abject is their punishment, Disfiguring not God's likeness, but their own; Or if his likeness, by themselves defaced; While they pervert pure Nature's healthful rules To loathsome sickness; worthily, since they God's image did not reverence in themselves. I yield it just, said Adam, and submit. But is there yet no other way, besides These painful passages, how we may come To death, and mix with our connatural dust? There is, said Michael, if thou well observe The rule of Not too much; by temperance taught, In what thou eatest and drinkest; seeking from thence Due nourishment, not gluttonous delight, Till many years over thy head return: So mayest thou live; till, like ripe fruit, thou drop Into thy mother's lap; or be with ease Gathered, nor harshly plucked; for death mature: This is Old Age; but then, thou must outlive Thy youth, thy strength, thy beauty; which will change To withered, weak, and gray; thy senses then, Obtuse, all taste of pleasure must forego, To what thou hast; and, for the air of youth, Hopeful and cheerful, in thy blood will reign A melancholy damp of cold and dry To weigh thy spirits down, and last consume The balm of life. To whom our ancestor. Henceforth I fly not death, nor would prolong Life much; bent rather, how I may be quit, Fairest and easiest, of this cumbrous charge; Which I must keep till my appointed day Of rendering up, and patiently attend My dissolution. Michael replied. Nor love thy life, nor hate; but what thou livest Live well; how long, or short, permit to Heaven: And now prepare thee for another sight. He looked, and saw a spacious plain, whereon Were tents of various hue; by some, were herds Of cattle grazing; others, whence the sound Of instruments, that made melodious chime, Was heard, of harp and organ; and, who moved Their stops and chords, was seen; his volant touch, Instinct through all proportions, low and high, Fled and pursued transverse the resonant fugue. In other part stood one who, at the forge Labouring, two massy clods of iron and brass Had melted, (whether found where casual fire Had wasted woods on mountain or in vale, Down to the veins of earth; thence gliding hot To some cave's mouth; or whether washed by stream From underground;) the liquid ore he drained Into fit moulds prepared; from which he formed First his own tools; then, what might else be wrought Fusil or graven in metal. After these, But on the hither side, a different sort From the high neighbouring hills, which was their seat, Down to the plain descended; by their guise Just men they seemed, and all their study bent To worship God aright, and know his works Not hid; nor those things last, which might preserve Freedom and peace to Men; they on the plain Long had not walked, when from the tents, behold! A bevy of fair women, richly gay In gems and wanton dress; to the harp they sung Soft amorous ditties, and in dance came on: The men, though grave, eyed them; and let their eyes Rove without rein; till, in the amorous net Fast caught, they liked; and each his liking chose; And now of love they treat, till the evening-star, Love's harbinger, appeared; then, all in heat They light the nuptial torch, and bid invoke Hymen, then first to marriage rites invoked: With feast and musick all the tents resound. Such happy interview, and fair event Of love and youth not lost, songs, garlands, flowers, And charming symphonies, attached the heart Of Adam, soon inclined to admit delight, The bent of nature; which he thus expressed. True opener of mine eyes, prime Angel blest; Much better seems this vision, and more hope Of peaceful days portends, than those two past; Those were of hate and death, or pain much worse; Here Nature seems fulfilled in all her ends. To whom thus Michael. Judge not what is best By pleasure, though to nature seeming meet; Created, as thou art, to nobler end Holy and pure, conformity divine. Those tents thou sawest so pleasant, were the tents Of wickedness, wherein shall dwell his race Who slew his brother; studious they appear Of arts that polish life, inventers rare; Unmindful of their Maker, though his Spirit Taught them; but they his gifts acknowledged none. Yet they a beauteous offspring shall beget; For that fair female troop thou sawest, that seemed Of Goddesses, so blithe, so smooth, so gay, Yet empty of all good wherein consists Woman's domestick honour and chief praise; Bred only and completed to the taste Of lustful appetence, to sing, to dance, To dress, and troll the tongue, and roll the eye: To these that sober race of men, whose lives Religious titled them the sons of God, Shall yield up all their virtue, all their fame Ignobly, to the trains and to the smiles Of these fair atheists; and now swim in joy, Erelong to swim at large; and laugh, for which The world erelong a world of tears must weep. To whom thus Adam, of short joy bereft. O pity and shame, that they, who to live well Entered so fair, should turn aside to tread Paths indirect, or in the mid way faint! But still I see the tenour of Man's woe Holds on the same, from Woman to begin. From Man's effeminate slackness it begins, Said the Angel, who should better hold his place By wisdom, and superiour gifts received. But now prepare thee for another scene. He looked, and saw wide territory spread Before him, towns, and rural works between; Cities of men with lofty gates and towers, Concourse in arms, fierce faces threatening war, Giants of mighty bone and bold emprise; Part wield their arms, part curb the foaming steed, Single or in array of battle ranged Both horse and foot, nor idly mustering stood; One way a band select from forage drives A herd of beeves, fair oxen and fair kine, From a fat meadow ground; or fleecy flock, Ewes and their bleating lambs over the plain, Their booty; scarce with life the shepherds fly, But call in aid, which makes a bloody fray; With cruel tournament the squadrons join; Where cattle pastured late, now scattered lies With carcasses and arms the ensanguined field, Deserted: Others to a city strong Lay siege, encamped; by battery, scale, and mine, Assaulting; others from the wall defend With dart and javelin, stones, and sulphurous fire; On each hand slaughter, and gigantick deeds. In other part the sceptered heralds call To council, in the city-gates; anon Gray-headed men and grave, with warriours mixed, Assemble, and harangues are heard; but soon, In factious opposition; till at last, Of middle age one rising, eminent In wise deport, spake much of right and wrong, Of justice, or religion, truth, and peace, And judgement from above: him old and young Exploded, and had seized with violent hands, Had not a cloud descending snatched him thence Unseen amid the throng: so violence Proceeded, and oppression, and sword-law, Through all the plain, and refuge none was found. Adam was all in tears, and to his guide Lamenting turned full sad; O!what are these, Death's ministers, not men? who thus deal death Inhumanly to men, and multiply Ten thousandfold the sin of him who slew His brother: for of whom such massacre Make they, but of their brethren; men of men But who was that just man, whom had not Heaven Rescued, had in his righteousness been lost? To whom thus Michael. These are the product Of those ill-mated marriages thou sawest; Where good with bad were matched, who of themselves Abhor to join; and, by imprudence mixed, Produce prodigious births of body or mind. Such were these giants, men of high renown; For in those days might only shall be admired, And valour and heroick virtue called; To overcome in battle, and subdue Nations, and bring home spoils with infinite Man-slaughter, shall be held the highest pitch Of human glory; and for glory done Of triumph, to be styled great conquerours Patrons of mankind, Gods, and sons of Gods; Destroyers rightlier called, and plagues of men. Thus fame shall be achieved, renown on earth; And what most merits fame, in silence hid. But he, the seventh from thee, whom thou beheldst The only righteous in a world preverse, And therefore hated, therefore so beset With foes, for daring single to be just, And utter odious truth, that God would come To judge them with his Saints; him the Most High Rapt in a balmy cloud with winged steeds Did, as thou sawest, receive, to walk with God High in salvation and the climes of bliss, Exempt from death; to show thee what reward Awaits the good; the rest what punishment; Which now direct thine eyes and soon behold. He looked, and saw the face of things quite changed; The brazen throat of war had ceased to roar; All now was turned to jollity and game, To luxury and riot, feast and dance; Marrying or prostituting, as befel, Rape or adultery, where passing fair Allured them; thence from cups to civil broils. At length a reverend sire among them came, And of their doings great dislike declared, And testified against their ways; he oft Frequented their assemblies, whereso met, Triumphs or festivals; and to them preached Conversion and repentance, as to souls In prison, under judgements imminent: But all in vain: which when he saw, he ceased Contending, and removed his tents far off; Then, from the mountain hewing timber tall, Began to build a vessel of huge bulk; Measured by cubit, length, and breadth, and highth; Smeared round with pitch; and in the side a door Contrived; and of provisions laid in large, For man and beast: when lo, a wonder strange! Of every beast, and bird, and insect small, Came sevens, and pairs; and entered in as taught Their order: last the sire and his three sons, With their four wives; and God made fast the door. Mean while the south-wind rose, and, with black wings Wide-hovering, all the clouds together drove From under Heaven; the hills to their supply Vapour, and exhalation dusk and moist, Sent up amain; and now the thickened sky Like a dark cieling stood; down rushed the rain Impetuous; and continued, till the earth No more was seen: the floating vessel swum Uplifted, and secure with beaked prow Rode tilting o'er the waves; all dwellings else Flood overwhelmed, and them with all their pomp Deep under water rolled; sea covered sea, Sea without shore; and in their palaces, Where luxury late reigned, sea-monsters whelped And stabled; of mankind, so numerous late, All left, in one small bottom swum imbarked. How didst thou grieve then, Adam, to behold The end of all thy offspring, end so sad, Depopulation! Thee another flood, Of tears and sorrow a flood, thee also drowned, And sunk thee as thy sons; till, gently reared By the Angel, on thy feet thou stoodest at last, Though comfortless; as when a father mourns His children, all in view destroyed at once; And scarce to the Angel utter'dst thus thy plaint. O visions ill foreseen! Better had I Lived ignorant of future! so had borne My part of evil only, each day's lot Enough to bear; those now, that were dispensed The burden of many ages, on me light At once, by my foreknowledge gaining birth Abortive, to torment me ere their being, With thought that they must be. Let no man seek Henceforth to be foretold, what shall befall Him or his children; evil he may be sure, Which neither his foreknowing can prevent; And he the future evil shall no less In apprehension than in substance feel, Grievous to bear: but that care now is past, Man is not whom to warn: those few escaped Famine and anguish will at last consume, Wandering that watery desart: I had hope, When violence was ceased, and war on earth, All would have then gone well; peace would have crowned With length of happy days the race of Man; But I was far deceived; for now I see Peace to corrupt no less than war to waste. How comes it thus? unfold, celestial Guide, And whether here the race of Man will end. To whom thus Michael. Those, whom last thou sawest In triumph and luxurious wealth, are they First seen in acts of prowess eminent And great exploits, but of true virtue void; Who, having spilt much blood, and done much wast Subduing nations, and achieved thereby Fame in the world, high titles, and rich prey; Shall change their course to pleasure, ease, and sloth, Surfeit, and lust; till wantonness and pride Raise out of friendship hostile deeds in peace. The conquered also, and enslaved by war, Shall, with their freedom lost, all virtue lose And fear of God; from whom their piety feigned In sharp contest of battle found no aid Against invaders; therefore, cooled in zeal, Thenceforth shall practice how to live secure, Worldly or dissolute, on what their lords Shall leave them to enjoy; for the earth shall bear More than enough, that temperance may be tried: So all shall turn degenerate, all depraved; Justice and temperance, truth and faith, forgot; One man except, the only son of light In a dark age, against example good, Against allurement, custom, and a world Offended: fearless of reproach and scorn, The grand-child, with twelve sons encreased, departs From Canaan, to a land hereafter called Egypt, divided by the river Nile; See where it flows, disgorging at seven mouths Into the sea: To sojourn in that land He comes, invited by a younger son In time of dearth; a son, whose worthy deeds Raise him to be the second in that realm Of Pharaoh: There he dies, and leaves his race Growing into a nation, and now grown Suspected to a sequent king, who seeks To stop their overgrowth, as inmate guests Or violence, he of their wicked ways Shall them admonish; and before them set The paths of righteousness, how much more safe And full of peace; denouncing wrath to come On their impenitence; and shall return Of them derided, but of God observed The one just man alive; by his command Shall build a wonderous ark, as thou beheldst, To save himself, and houshold, from amidst A world devote to universal wrack. No sooner he, with them of man and beast Select for life, shall in the ark be lodged, And sheltered round; but all the cataracts Of Heaven set open on the Earth shall pour Rain, day and night; all fountains of the deep, Broke up, shall heave the ocean to usurp Beyond all bounds; till inundation rise Above the highest hills: Then shall this mount Of Paradise by might of waves be moved Out of his place, pushed by the horned flood, With all his verdure spoiled, and trees adrift, Down the great river to the opening gulf, And there take root an island salt and bare, The haunt of seals, and orcs, and sea-mews' clang: To teach thee that God attributes to place No sanctity, if none be thither brought By men who there frequent, or therein dwell. And now, what further shall ensue, behold. He looked, and saw the ark hull on the flood, Which now abated; for the clouds were fled, Driven by a keen north-wind, that, blowing dry, Wrinkled the face of deluge, as decayed; And the clear sun on his wide watery glass Gazed hot, and of the fresh wave largely drew, As after thirst; which made their flowing shrink From standing lake to tripping ebb, that stole With soft foot towards the deep; who now had stopt His sluces, as the Heaven his windows shut. The ark no more now floats, but seems on ground, Fast on the top of some high mountain fixed. And now the tops of hills, as rocks, appear; With clamour thence the rapid currents drive, Towards the retreating sea, their furious tide. Forthwith from out the ark a raven flies, And after him, the surer messenger, A dove sent forth once and again to spy Green tree or ground, whereon his foot may light: The second time returning, in his bill An olive-leaf he brings, pacifick sign: Anon dry ground appears, and from his ark The ancient sire descends, with all his train; Then with uplifted hands, and eyes devout, Grateful to Heaven, over his head beholds A dewy cloud, and in the cloud a bow Conspicuous with three lifted colours gay, Betokening peace from God, and covenant new. Whereat the heart of Adam, erst so sad, Greatly rejoiced; and thus his joy broke forth. O thou, who future things canst represent As present, heavenly Instructer! I revive At this last sight; assured that Man shall live, With all the creatures, and their seed preserve. Far less I now lament for one whole world Of wicked sons destroyed, than I rejoice For one man found so perfect, and so just, That God vouchsafes to raise another world From him, and all his anger to forget. But say, what mean those coloured streaks in Heaven Distended, as the brow of God appeased? Or serve they, as a flowery verge, to bind The fluid skirts of that same watery cloud, Lest it again dissolve, and shower the earth? To whom the Arch-Angel. Dextrously thou aimest; So willingly doth God remit his ire, Though late repenting him of Man depraved; Grieved at his heart, when looking down he saw The whole earth filled with violence, and all flesh Corrupting each their way; yet, those removed, Such grace shall one just man find in his sight, That he relents, not to blot out mankind; And makes a covenant never to destroy The earth again by flood; nor let the sea Surpass his bounds; nor rain to drown the world, With man therein or beast; but, when he brings Over the earth a cloud, will therein set His triple-coloured bow, whereon to look, And call to mind his covenant: Day and night, Seed-time and harvest, heat and hoary frost, Shall hold their course; till fire purge all things new, Both Heaven and Earth, wherein the just shall dwell. Book XII As one who in his journey bates at noon, Though bent on speed; so here the Arch-Angel paused Betwixt the world destroyed and world restored, If Adam aught perhaps might interpose; Then, with transition sweet, new speech resumes. Thus thou hast seen one world begin, and end; And Man, as from a second stock, proceed. Much thou hast yet to see; but I perceive Thy mortal sight to fail; objects divine Must needs impair and weary human sense: Henceforth what is to come I will relate; Thou therefore give due audience, and attend. This second source of Men, while yet but few, And while the dread of judgement past remains Fresh in their minds, fearing the Deity, With some regard to what is just and right Shall lead their lives, and multiply apace; Labouring the soil, and reaping plenteous crop, Corn, wine, and oil; and, from the herd or flock, Oft sacrificing bullock, lamb, or kid, With large wine-offerings poured, and sacred feast, Shall spend their days in joy unblamed; and dwell Long time in peace, by families and tribes, Under paternal rule: till one shall rise Of proud ambitious heart; who, not content With fair equality, fraternal state, Will arrogate dominion undeserved Over his brethren, and quite dispossess Concord and law of nature from the earth; Hunting (and men not beasts shall be his game) With war, and hostile snare, such as refuse Subjection to his empire tyrannous: A mighty hunter thence he shall be styled Before the Lord; as in despite of Heaven, Or from Heaven, claiming second sovranty; And from rebellion shall derive his name, Though of rebellion others he accuse. He with a crew, whom like ambition joins With him or under him to tyrannize, Marching from Eden towards the west, shall find The plain, wherein a black bituminous gurge Boils out from under ground, the mouth of Hell: Of brick, and of that stuff, they cast to build A city and tower, whose top may reach to Heaven; And get themselves a name; lest, far dispersed In foreign lands, their memory be lost; Regardless whether good or evil fame. But God, who oft descends to visit men Unseen, and through their habitations walks To mark their doings, them beholding soon, Comes down to see their city, ere the tower Obstruct Heaven-towers, and in derision sets Upon their tongues a various spirit, to rase Quite out their native language; and, instead, To sow a jangling noise of words unknown: Forthwith a hideous gabble rises loud, Among the builders; each to other calls Not understood; till hoarse, and all in rage, As mocked they storm: great laughter was in Heaven, And looking down, to see the hubbub strange, And hear the din: Thus was the building left Ridiculous, and the work Confusion named. Whereto thus Adam, fatherly displeased. O execrable son! so to aspire Above his brethren; to himself assuming Authority usurped, from God not given: He gave us only over beast, fish, fowl, Dominion absolute; that right we hold By his donation; but man over men He made not lord; such title to himself Reserving, human left from human free. But this usurper his encroachment proud Stays not on Man; to God his tower intends Siege and defiance: Wretched man!what food Will he convey up thither, to sustain Himself and his rash army; where thin air Above the clouds will pine his entrails gross, And famish him of breath, if not of bread? To whom thus Michael. Justly thou abhorrest That son, who on the quiet state of men Such trouble brought, affecting to subdue Rational liberty; yet know withal, Since thy original lapse, true liberty Is lost, which always with right reason dwells Twinned, and from her hath no dividual being: Reason in man obscured, or not obeyed, Immediately inordinate desires, And upstart passions, catch the government From reason; and to servitude reduce Man, till then free. Therefore, since he permits Within himself unworthy powers to reign Over free reason, God, in judgement just, Subjects him from without to violent lords; Who oft as undeservedly enthrall His outward freedom: Tyranny must be; Though to the tyrant thereby no excuse. Yet sometimes nations will decline so low From virtue, which is reason, that no wrong, But justice, and some fatal curse annexed, Deprives them of their outward liberty; Their inward lost: Witness the irreverent son Of him who built the ark; who, for the shame Done to his father, heard this heavy curse, Servant of servants, on his vicious race. Thus will this latter, as the former world, Still tend from bad to worse; till God at last, Wearied with their iniquities, withdraw His presence from among them, and avert His holy eyes; resolving from thenceforth To leave them to their own polluted ways; And one peculiar nation to select From all the rest, of whom to be invoked, A nation from one faithful man to spring: Him on this side Euphrates yet residing, Bred up in idol-worship: O, that men (Canst thou believe?) should be so stupid grown, While yet the patriarch lived, who 'scaped the flood, As to forsake the living God, and fall To worship their own work in wood and stone For Gods! Yet him God the Most High vouchsafes To call by vision, from his father's house, His kindred, and false Gods, into a land Which he will show him; and from him will raise A mighty nation; and upon him shower His benediction so, that in his seed All nations shall be blest: he straight obeys; Not knowing to what land, yet firm believes: I see him, but thou canst not, with what faith He leaves his Gods, his friends, and native soil, Ur of Chaldaea, passing now the ford To Haran; after him a cumbrous train Of herds and flocks, and numerous servitude; Not wandering poor, but trusting all his wealth With God, who called him, in a land unknown. Canaan he now attains; I see his tents Pitched about Sechem, and the neighbouring plain Of Moreh; there by promise he receives Gift to his progeny of all that land, From Hameth northward to the Desart south; (Things by their names I call, though yet unnamed;) From Hermon east to the great western Sea; Mount Hermon, yonder sea; each place behold In prospect, as I point them; on the shore Mount Carmel; here, the double-founted stream, Jordan, true limit eastward; but his sons Shall dwell to Senir, that long ridge of hills. This ponder, that all nations of the earth Shall in his seed be blessed: By that seed Is meant thy great Deliverer, who shall bruise The Serpent's head; whereof to thee anon Plainlier shall be revealed. This patriarch blest, Whom faithful Abraham due time shall call, A son, and of his son a grand-child, leaves; Like him in faith, in wisdom, and renown: The grandchild, with twelve sons increased, departs From Canaan to a land hereafter called Egypt, divided by the river Nile See where it flows, disgorging at seven mouths Into the sea. To sojourn in that land He comes, invited by a younger son In time of dearth, a son whose worthy deeds Raise him to be the second in that realm Of Pharaoh. There he dies, and leaves his race Growing into a nation, and now grown Suspected to a sequent king, who seeks To stop their overgrowth, as inmate guests Too numerous; whence of guests he makes them slaves Inhospitably, and kills their infant males: Till by two brethren (these two brethren call Moses and Aaron) sent from God to claim His people from enthralment, they return, With glory and spoil, back to their promised land. But first, the lawless tyrant, who denies To know their God, or message to regard, Must be compelled by signs and judgements dire; To blood unshed the rivers must be turned; Frogs, lice, and flies, must all his palace fill With loathed intrusion, and fill all the land; His cattle must of rot and murren die; Botches and blains must all his flesh emboss, And all his people; thunder mixed with hail, Hail mixed with fire, must rend the Egyptians sky, And wheel on the earth, devouring where it rolls; What it devours not, herb, or fruit, or grain, A darksome cloud of locusts swarming down Must eat, and on the ground leave nothing green; Darkness must overshadow all his bounds, Palpable darkness, and blot out three days; Last, with one midnight stroke, all the first-born Of Egypt must lie dead. Thus with ten wounds The river-dragon tamed at length submits To let his sojourners depart, and oft Humbles his stubborn heart; but still, as ice More hardened after thaw; till, in his rage Pursuing whom he late dismissed, the sea Swallows him with his host; but them lets pass, As on dry land, between two crystal walls; Awed by the rod of Moses so to stand Divided, till his rescued gain their shore: Such wondrous power God to his saint will lend, Though present in his Angel; who shall go Before them in a cloud, and pillar of fire; By day a cloud, by night a pillar of fire; To guide them in their journey, and remove Behind them, while the obdurate king pursues: All night he will pursue; but his approach Darkness defends between till morning watch; Then through the fiery pillar, and the cloud, God looking forth will trouble all his host, And craze their chariot-wheels: when by command Moses once more his potent rod extends Over the sea; the sea his rod obeys; On their embattled ranks the waves return, And overwhelm their war: The race elect Safe toward Canaan from the shore advance Through the wild Desart, not the readiest way; Lest, entering on the Canaanite alarmed, War terrify them inexpert, and fear Return them back to Egypt, choosing rather Inglorious life with servitude; for life To noble and ignoble is more sweet Untrained in arms, where rashness leads not on. This also shall they gain by their delay In the wide wilderness; there they shall found Their government, and their great senate choose Through the twelve tribes, to rule by laws ordained: God from the mount of Sinai, whose gray top Shall tremble, he descending, will himself In thunder, lightning, and loud trumpets' sound, Ordain them laws; part, such as appertain To civil justice; part, religious rites Of sacrifice; informing them, by types And shadows, of that destined Seed to bruise The Serpent, by what means he shall achieve Mankind's deliverance. But the voice of God To mortal ear is dreadful: They beseech That Moses might report to them his will, And terrour cease; he grants what they besought, Instructed that to God is no access Without Mediator, whose high office now Moses in figure bears; to introduce One greater, of whose day he shall foretel, And all the Prophets in their age the times Of great Messiah shall sing. Thus, laws and rites Established, such delight hath God in Men Obedient to his will, that he vouchsafes Among them to set up his tabernacle; The Holy One with mortal Men to dwell: By his prescript a sanctuary is framed Of cedar, overlaid with gold; therein An ark, and in the ark his testimony, The records of his covenant; over these A mercy-seat of gold, between the wings Of two bright Cherubim; before him burn Seven lamps as in a zodiack representing The heavenly fires; over the tent a cloud Shall rest by day, a fiery gleam by night; Save when they journey, and at length they come, Conducted by his Angel, to the land Promised to Abraham and his seed:--The rest Were long to tell; how many battles fought How many kings destroyed; and kingdoms won; Or how the sun shall in mid Heaven stand still A day entire, and night's due course adjourn, Man's voice commanding, 'Sun, in Gibeon stand, 'And thou moon in the vale of Aialon, 'Till Israel overcome! so call the third From Abraham, son of Isaac; and from him His whole descent, who thus shall Canaan win. Here Adam interposed. O sent from Heaven, Enlightener of my darkness, gracious things Thou hast revealed; those chiefly, which concern Just Abraham and his seed: now first I find Mine eyes true-opening, and my heart much eased; Erewhile perplexed with thoughts, what would become Of me and all mankind: But now I see His day, in whom all nations shall be blest; Favour unmerited by me, who sought Forbidden knowledge by forbidden means. This yet I apprehend not, why to those Among whom God will deign to dwell on earth So many and so various laws are given; So many laws argue so many sins Among them; how can God with such reside? To whom thus Michael. Doubt not but that sin Will reign among them, as of thee begot; And therefore was law given them, to evince Their natural pravity, by stirring up Sin against law to fight: that when they see Law can discover sin, but not remove, Save by those shadowy expiations weak, The blood of bulls and goats, they may conclude Some blood more precious must be paid for Man; Just for unjust; that, in such righteousness To them by faith imputed, they may find Justification towards God, and peace Of conscience; which the law by ceremonies Cannot appease; nor Man the mortal part Perform; and, not performing, cannot live. So law appears imperfect; and but given With purpose to resign them, in full time, Up to a better covenant; disciplined From shadowy types to truth; from flesh to spirit; From imposition of strict laws to free Acceptance of large grace; from servile fear To filial; works of law to works of faith. And therefore shall not Moses, though of God Highly beloved, being but the minister Of law, his people into Canaan lead; But Joshua, whom the Gentiles Jesus call, His name and office bearing, who shall quell The adversary-Serpent, and bring back Through the world's wilderness long-wandered Man Safe to eternal Paradise of rest. Mean while they, in their earthly Canaan placed, Long time shall dwell and prosper, but when sins National interrupt their publick peace, Provoking God to raise them enemies; From whom as oft he saves them penitent By Judges first, then under Kings; of whom The second, both for piety renowned And puissant deeds, a promise shall receive Irrevocable, that his regal throne For ever shall endure; the like shall sing All Prophecy, that of the royal stock Of David (so I name this king) shall rise A Son, the Woman's seed to thee foretold, Foretold to Abraham, as in whom shall trust All nations; and to kings foretold, of kings The last; for of his reign shall be no end. But first, a long succession must ensue; And his next son, for wealth and wisdom famed, The clouded ark of God, till then in tents Wandering, shall in a glorious temple enshrine. Such follow him, as shall be registered Part good, part bad; of bad the longer scroll; Whose foul idolatries, and other faults Heaped to the popular sum, will so incense God, as to leave them, and expose their land, Their city, his temple, and his holy ark, With all his sacred things, a scorn and prey To that proud city, whose high walls thou sawest Left in confusion; Babylon thence called. There in captivity he lets them dwell The space of seventy years; then brings them back, Remembering mercy, and his covenant sworn To David, stablished as the days of Heaven. Returned from Babylon by leave of kings Their lords, whom God disposed, the house of God They first re-edify; and for a while In mean estate live moderate; till, grown In wealth and multitude, factious they grow; But first among the priests dissention springs, Men who attend the altar, and should most Endeavour peace: their strife pollution brings Upon the temple itself: at last they seise The scepter, and regard not David's sons; Then lose it to a stranger, that the true Anointed King Messiah might be born Barred of his right; yet at his birth a star, Unseen before in Heaven, proclaims him come; And guides the eastern sages, who inquire His place, to offer incense, myrrh, and gold: His place of birth a solemn Angel tells To simple shepherds, keeping watch by night; They gladly thither haste, and by a quire Of squadroned Angels hear his carol sung. A virgin is his mother, but his sire The power of the Most High: He shall ascend The throne hereditary, and bound his reign With Earth's wide bounds, his glory with the Heavens. He ceased, discerning Adam with such joy Surcharged, as had like grief been dewed in tears, Without the vent of words; which these he breathed. O prophet of glad tidings, finisher Of utmost hope! now clear I understand What oft my steadiest thoughts have searched in vain; Why our great Expectation should be called The seed of Woman: Virgin Mother, hail, High in the love of Heaven; yet from my loins Thou shalt proceed, and from thy womb the Son Of God Most High: so God with Man unites! Needs must the Serpent now his capital bruise Expect with mortal pain: Say where and when Their fight, what stroke shall bruise the victor's heel. To whom thus Michael. Dream not of their fight, As of a duel, or the local wounds Of head or heel: Not therefore joins the Son Manhood to Godhead, with more strength to foil Thy enemy; nor so is overcome Satan, whose fall from Heaven, a deadlier bruise, Disabled, not to give thee thy death's wound: Which he, who comes thy Saviour, shall recure, Not by destroying Satan, but his works In thee, and in thy seed: Nor can this be, But by fulfilling that which thou didst want, Obedience to the law of God, imposed On penalty of death, and suffering death; The penalty to thy transgression due, And due to theirs which out of thine will grow: So only can high Justice rest appaid. The law of God exact he shall fulfil Both by obedience and by love, though love Alone fulfil the law; thy punishment He shall endure, by coming in the flesh To a reproachful life, and cursed death; Proclaiming life to all who shall believe In his redemption; and that his obedience, Imputed, becomes theirs by faith; his merits To save them, not their own, though legal, works. For this he shall live hated, be blasphemed, Seised on by force, judged, and to death condemned A shameful and accursed, nailed to the cross By his own nation; slain for bringing life: But to the cross he nails thy enemies, The law that is against thee, and the sins Of all mankind, with him there crucified, Never to hurt them more who rightly trust In this his satisfaction; so he dies, But soon revives; Death over him no power Shall long usurp; ere the third dawning light Return, the stars of morn shall see him rise Out of his grave, fresh as the dawning light, Thy ransom paid, which Man from death redeems, His death for Man, as many as offered life Neglect not, and the benefit embrace By faith not void of works: This God-like act Annuls thy doom, the death thou shouldest have died, In sin for ever lost from life; this act Shall bruise the head of Satan, crush his strength, Defeating Sin and Death, his two main arms; And fix far deeper in his head their stings Than temporal death shall bruise the victor's heel, Or theirs whom he redeems; a death, like sleep, A gentle wafting to immortal life. Nor after resurrection shall he stay Longer on earth, than certain times to appear To his disciples, men who in his life Still followed him; to them shall leave in charge To teach all nations what of him they learned And his salvation; them who shall believe Baptizing in the profluent stream, the sign Of washing them from guilt of sin to life Pure, and in mind prepared, if so befall, For death, like that which the Redeemer died. All nations they shall teach; for, from that day, Not only to the sons of Abraham's loins Salvation shall be preached, but to the sons Of Abraham's faith wherever through the world; So in his seed all nations shall be blest. Then to the Heaven of Heavens he shall ascend With victory, triumphing through the air Over his foes and thine; there shall surprise The Serpent, prince of air, and drag in chains Through all his realm, and there confounded leave; Then enter into glory, and resume His seat at God's right hand, exalted high Above all names in Heaven; and thence shall come, When this world's dissolution shall be ripe, With glory and power to judge both quick and dead; To judge the unfaithful dead, but to reward His faithful, and receive them into bliss, Whether in Heaven or Earth; for then the Earth Shall all be Paradise, far happier place Than this of Eden, and far happier days. So spake the Arch-Angel Michael; then paused, As at the world's great period; and our sire, Replete with joy and wonder, thus replied. O Goodness infinite, Goodness immense! That all this good of evil shall produce, And evil turn to good; more wonderful Than that which by creation first brought forth Light out of darkness! Full of doubt I stand, Whether I should repent me now of sin By me done, and occasioned; or rejoice Much more, that much more good thereof shall spring; To God more glory, more good-will to Men From God, and over wrath grace shall abound. But say, if our Deliverer up to Heaven Must re-ascend, what will betide the few His faithful, left among the unfaithful herd, The enemies of truth? Who then shall guide His people, who defend? Will they not deal Worse with his followers than with him they dealt? Be sure they will, said the Angel; but from Heaven He to his own a Comforter will send, The promise of the Father, who shall dwell His Spirit within them; and the law of faith, Working through love, upon their hearts shall write, To guide them in all truth; and also arm With spiritual armour, able to resist Satan's assaults, and quench his fiery darts; What man can do against them, not afraid, Though to the death; against such cruelties With inward consolations recompensed, And oft supported so as shall amaze Their proudest persecutors: For the Spirit, Poured first on his Apostles, whom he sends To evangelize the nations, then on all Baptized, shall them with wonderous gifts endue To speak all tongues, and do all miracles, As did their Lord before them. Thus they win Great numbers of each nation to receive With joy the tidings brought from Heaven: At length Their ministry performed, and race well run, Their doctrine and their story written left, They die; but in their room, as they forewarn, Wolves shall succeed for teachers, grievous wolves, Who all the sacred mysteries of Heaven To their own vile advantages shall turn Of lucre and ambition; and the truth With superstitions and traditions taint, Left only in those written records pure, Though not but by the Spirit understood. Then shall they seek to avail themselves of names, Places, and titles, and with these to join Secular power; though feigning still to act By spiritual, to themselves appropriating The Spirit of God, promised alike and given To all believers; and, from that pretence, Spiritual laws by carnal power shall force On every conscience; laws which none shall find Left them inrolled, or what the Spirit within Shall on the heart engrave. What will they then But force the Spirit of Grace itself, and bind His consort Liberty? what, but unbuild His living temples, built by faith to stand, Their own faith, not another's? for, on earth, Who against faith and conscience can be heard Infallible? yet many will presume: Whence heavy persecution shall arise On all, who in the worship persevere Of spirit and truth; the rest, far greater part, Will deem in outward rites and specious forms Religion satisfied; Truth shall retire Bestuck with slanderous darts, and works of faith Rarely be found: So shall the world go on, To good malignant, to bad men benign; Under her own weight groaning; till the day Appear of respiration to the just, And vengeance to the wicked, at return Of him so lately promised to thy aid, The Woman's Seed; obscurely then foretold, Now ampler known thy Saviour and thy Lord; Last, in the clouds, from Heaven to be revealed In glory of the Father, to dissolve Satan with his perverted world; then raise From the conflagrant mass, purged and refined, New Heavens, new Earth, ages of endless date, Founded in righteousness, and peace, and love; To bring forth fruits, joy and eternal bliss. He ended; and thus Adam last replied. How soon hath thy prediction, Seer blest, Measured this transient world, the race of time, Till time stand fixed! Beyond is all abyss, Eternity, whose end no eye can reach. Greatly-instructed I shall hence depart; Greatly in peace of thought; and have my fill Of knowledge, what this vessel can contain; Beyond which was my folly to aspire. Henceforth I learn, that to obey is best, And love with fear the only God; to walk As in his presence; ever to observe His providence; and on him sole depend, Merciful over all his works, with good Still overcoming evil, and by small Accomplishing great things, by things deemed weak Subverting worldly strong, and worldly wise By simply meek: that suffering for truth's sake Is fortitude to highest victory, And, to the faithful, death the gate of life; Taught this by his example, whom I now Acknowledge my Redeemer ever blest. To whom thus also the Angel last replied. This having learned, thou hast attained the sum Of wisdom; hope no higher, though all the stars Thou knewest by name, and all the ethereal powers, All secrets of the deep, all Nature's works, Or works of God in Heaven, air, earth, or sea, And all the riches of this world enjoyedst, And all the rule, one empire; only add Deeds to thy knowledge answerable; add faith, Add virtue, patience, temperance; add love, By name to come called charity, the soul Of all the rest: then wilt thou not be loth To leave this Paradise, but shalt possess A Paradise within thee, happier far.-- Let us descend now therefore from this top Of speculation; for the hour precise Exacts our parting hence; and see!the guards, By me encamped on yonder hill, expect Their motion; at whose front a flaming sword, In signal of remove, waves fiercely round: We may no longer stay: go, waken Eve; Her also I with gentle dreams have calmed Portending good, and all her spirits composed To meek submission: thou, at season fit, Let her with thee partake what thou hast heard; Chiefly what may concern her faith to know, The great deliverance by her seed to come (For by the Woman's seed) on all mankind: That ye may live, which will be many days, Both in one faith unanimous, though sad, With cause, for evils past; yet much more cheered With meditation on the happy end. He ended, and they both descend the hill; Descended, Adam to the bower, where Eve Lay sleeping, ran before; but found her waked; And thus with words not sad she him received. Whence thou returnest, and whither wentest, I know; For God is also in sleep; and dreams advise, Which he hath sent propitious, some great good Presaging, since with sorrow and heart's distress Wearied I fell asleep: But now lead on; In me is no delay; with thee to go, Is to stay here; without thee here to stay, Is to go hence unwilling; thou to me Art all things under $Heaven, all places thou, Who for my wilful crime art banished hence. This further consolation yet secure I carry hence; though all by me is lost, Such favour I unworthy am vouchsafed, By me the Promised Seed shall all restore. So spake our mother Eve; and Adam heard Well pleased, but answered not: For now, too nigh The Arch-Angel stood; and, from the other hill To their fixed station, all in bright array The Cherubim descended; on the ground Gliding meteorous, as evening-mist Risen from a river o'er the marish glides, And gathers ground fast at the labourer's heel Homeward returning. High in front advanced, The brandished sword of God before them blazed, Fierce as a comet; which with torrid heat, And vapour as the Libyan air adust, Began to parch that temperate clime; whereat In either hand the hastening Angel caught Our lingering parents, and to the eastern gate Led them direct, and down the cliff as fast To the subjected plain; then disappeared. They, looking back, all the eastern side beheld Of Paradise, so late their happy seat, Waved over by that flaming brand; the gate With dreadful faces thronged, and fiery arms: Some natural tears they dropt, but wiped them soon; The world was all before them, where to choose Their place of rest, and Providence their guide: They, hand in hand, with wandering steps and slow, Through Eden took their solitary way. [The End] IO-Compress-Brotli-0.019/brotli/tests/testdata/empty.compressed.040000644000175000017500000000000214606651216023133 0ustar timtimIO-Compress-Brotli-0.019/brotli/tests/testdata/10x10y.compressed0000644000175000017500000000001414606651215022517 0ustar timtimGIO-Compress-Brotli-0.019/brotli/tests/testdata/empty.compressed.020000644000175000017500000000000214606651216023131 0ustar timtimIO-Compress-Brotli-0.019/brotli/tests/testdata/xyzzy0000644000175000017500000000000514606651216020630 0ustar timtimXyzzyIO-Compress-Brotli-0.019/brotli/tests/testdata/alice29.txt.compressed0000644000175000017500000014166014606651215023640 0ustar timtim[RE;@}.ҊE\IKox4]MOl!+l\ECKgiE_|ݹɽ#IBƁQ鐺LJE`;l h/@wL1F@q(}fQVF;EFpdqȑX7Jdh 2>W"HA|#n9l[=ʇh^ i~_o#(aHQA9"t,}Sp0Q6a2Q|=,C@UE* oQcHS:MG쿮FZ&Il}Y}i;z5Ù^koq @#H HQ [č~2LRU`QGUUn(ݴәCu. !lr@$zd΃vS->B im};; {4phl"&= AbO\/gj 1+cUz>Ͻ :! 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over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe 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fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogThe quick brown fox jumps over the lazy dogIO-Compress-Brotli-0.019/brotli/tests/compatibility_test.sh0000755000175000017500000000124014606651215022127 0ustar timtim#!/usr/bin/env bash # # Test that the brotli command-line tool can decompress old brotli-compressed # files. # # The first argument may be a wrapper for brotli, such as 'qemu-arm'. set -o errexit BROTLI_WRAPPER=$1 BROTLI="${BROTLI_WRAPPER} bin/brotli" TMP_DIR=bin/tmp for file in tests/testdata/*.compressed*; do echo "Testing decompression of file $file" expected=${file%.compressed*} uncompressed=${TMP_DIR}/${expected##*/}.uncompressed echo $uncompressed $BROTLI $file -fdo $uncompressed diff -q $uncompressed $expected # Test the streaming version cat $file | $BROTLI -dc > $uncompressed diff -q $uncompressed $expected rm -f $uncompressed done IO-Compress-Brotli-0.019/brotli/tests/run-roundtrip-test.cmake0000644000175000017500000000215514606651215022475 0ustar timtimset(ENV{QEMU_LD_PREFIX} "${BROTLI_WRAPPER_LD_PREFIX}") execute_process( WORKING_DIRECTORY "${CMAKE_CURRENT_SOURCE_DIR}" COMMAND ${BROTLI_WRAPPER} ${BROTLI_CLI} --force --quality=${QUALITY} ${INPUT} --output=${OUTPUT}.br RESULT_VARIABLE result ERROR_VARIABLE result_stderr) if(result) message(FATAL_ERROR "Compression failed: ${result_stderr}") endif() execute_process( WORKING_DIRECTORY "${CMAKE_CURRENT_SOURCE_DIR}" COMMAND ${BROTLI_WRAPPER} ${BROTLI_CLI} --force --decompress ${OUTPUT}.br --output=${OUTPUT}.unbr RESULT_VARIABLE result) if(result) message(FATAL_ERROR "Decompression failed") endif() function(test_file_equality f1 f2) if(NOT CMAKE_VERSION VERSION_LESS 2.8.7) file(SHA512 "${f1}" f1_cs) file(SHA512 "${f2}" f2_cs) if(NOT "${f1_cs}" STREQUAL "${f2_cs}") message(FATAL_ERROR "Files do not match") endif() else() file(READ "${f1}" f1_contents) file(READ "${f2}" f2_contents) if(NOT "${f1_contents}" STREQUAL "${f2_contents}") message(FATAL_ERROR "Files do not match") endif() endif() endfunction() test_file_equality("${INPUT}" "${OUTPUT}.unbr") IO-Compress-Brotli-0.019/brotli/tests/run-compatibility-test.cmake0000644000175000017500000000213714606651215023320 0ustar timtimstring(REGEX REPLACE "([a-zA-Z0-9\\.]+)\\.compressed(\\.[0-9]+)?$" "\\1" REFERENCE_DATA "${INPUT}") string(REGEX REPLACE "\\.compressed" "" OUTPUT_FILE "${INPUT}") get_filename_component(OUTPUT_NAME "${OUTPUT_FILE}" NAME) set(ENV{QEMU_LD_PREFIX} "${BROTLI_WRAPPER_LD_PREFIX}") execute_process( WORKING_DIRECTORY "${CMAKE_CURRENT_SOURCE_DIR}" COMMAND ${BROTLI_WRAPPER} ${BROTLI_CLI} --force --decompress ${INPUT} --output=${CMAKE_CURRENT_BINARY_DIR}/${OUTPUT_NAME}.unbr RESULT_VARIABLE result) if(result) message(FATAL_ERROR "Decompression failed") endif() function(test_file_equality f1 f2) if(NOT CMAKE_VERSION VERSION_LESS 2.8.7) file(SHA512 "${f1}" f1_cs) file(SHA512 "${f2}" f2_cs) if(NOT "${f1_cs}" STREQUAL "${f2_cs}") message(FATAL_ERROR "Files do not match") endif() else() file(READ "${f1}" f1_contents) file(READ "${f2}" f2_contents) if(NOT "${f1_contents}" STREQUAL "${f2_contents}") message(FATAL_ERROR "Files do not match") endif() endif() endfunction() test_file_equality("${REFERENCE_DATA}" "${CMAKE_CURRENT_BINARY_DIR}/${OUTPUT_NAME}.unbr") IO-Compress-Brotli-0.019/brotli/scripts/0000755000175000017500000000000014722655051016211 5ustar timtimIO-Compress-Brotli-0.019/brotli/scripts/libbrotlidec.pc.in0000644000175000017500000000045414606651215021602 0ustar timtimprefix=@prefix@ exec_prefix=@exec_prefix@ libdir=@libdir@ includedir=@includedir@ Name: libbrotlidec URL: https://github.com/google/brotli Description: Brotli decoder library Version: @PACKAGE_VERSION@ Libs: -L${libdir} -lbrotlidec Requires.private: libbrotlicommon >= 1.1.0 Cflags: -I${includedir} IO-Compress-Brotli-0.019/brotli/scripts/libbrotlienc.pc.in0000644000175000017500000000045414606651215021614 0ustar timtimprefix=@prefix@ exec_prefix=@exec_prefix@ libdir=@libdir@ includedir=@includedir@ Name: libbrotlienc URL: https://github.com/google/brotli Description: Brotli encoder library Version: @PACKAGE_VERSION@ Libs: -L${libdir} -lbrotlienc Requires.private: libbrotlicommon >= 1.1.0 Cflags: -I${includedir} IO-Compress-Brotli-0.019/brotli/scripts/libbrotlicommon.pc.in0000644000175000017500000000042114606651215022331 0ustar timtimprefix=@prefix@ exec_prefix=@exec_prefix@ libdir=@libdir@ includedir=@includedir@ Name: libbrotlicommon URL: https://github.com/google/brotli Description: Brotli common dictionary library Version: @PACKAGE_VERSION@ Libs: -L${libdir} -lbrotlicommon Cflags: -I${includedir} IO-Compress-Brotli-0.019/brotli/scripts/dictionary/0000755000175000017500000000000014722655051020356 5ustar timtimIO-Compress-Brotli-0.019/brotli/scripts/dictionary/step-04-generate-java-literals.py0000644000175000017500000000424614606651215026455 0ustar timtim# Step 04 - generate Java literals. # # Java byte-code has severe restrictions. There is no such thing as # "array literal" - those are implemented as series of data[x] = y; # as a consequence N-byte array will use 7N bytes in class, plus N bytes # in instantiated variable. Also no literal could be longer than 64KiB. # # To keep dictionary data compact both in source code and in compiled format # we use the following tricks: # * use String as a data container # * store only lowest 7 bits; i.e. all characters fit ASCII table; this allows # efficient conversion to byte array; also ASCII characters use only 1 byte #. of memory (UTF-8 encoding) # * RLE-compress sequence of 8-th bits # # This script generates literals used in Java code. try: unichr # Python 2 except NameError: unichr = chr # Python 3 bin_path = "dictionary.bin" with open(bin_path, "rb") as raw: data = raw.read() low = [] hi = [] is_skip = True skip_flip_offset = 36 cntr = skip_flip_offset for b in data: value = ord(b) low.append(chr(value & 0x7F)) if is_skip: if value < 0x80: cntr += 1 else: is_skip = False hi.append(unichr(cntr)) cntr = skip_flip_offset + 1 else: if value >= 0x80: cntr += 1 else: is_skip = True hi.append(unichr(cntr)) cntr = skip_flip_offset + 1 hi.append(unichr(cntr)) low0 = low[0:len(low) // 2] low1 = low[len(low) // 2:len(low)] def escape(chars): result = [] for c in chars: if "\r" == c: result.append("\\r") elif "\n" == c: result.append("\\n") elif "\t" == c: result.append("\\t") elif "\"" == c: result.append("\\\"") elif "\\" == c: result.append("\\\\") elif ord(c) < 32 or ord(c) >= 127: result.append("\\u%04X" % ord(c)) else: result.append(c) return result source_code = [ " private static final String DATA0 = \"", "".join(escape(low0)), "\";\n", " private static final String DATA1 = \"", "".join(escape(low1)), "\";\n", " private static final String SKIP_FLIP = \"", "".join(escape(hi)), "\";\n" ] src_path = "DictionaryData.inc.java" with open(src_path, "w") as source: source.write("".join(source_code)) IO-Compress-Brotli-0.019/brotli/scripts/dictionary/step-03-validate-bin.py0000644000175000017500000000155314606651215024463 0ustar timtim# Step 03 - validate raw dictionary file. # # CRC32, MD5, SHA1 and SHA256 checksums for raw binary dictionary are checked. import hashlib import zlib bin_path = "dictionary.bin" with open(bin_path, "rb") as raw: data = raw.read() def check_digest(name, expected, actual): if expected == actual: print("[OK] " + name) else: print("[ERROR] " + name + " | " + expected + " != " + actual) check_digest( "CRC32", # This is the only checksum provided in RFC. "0x5136cb04", hex(zlib.crc32(data))) check_digest("MD5", "96cecd2ee7a666d5aa3627d74735b32a", hashlib.md5(data).hexdigest()) check_digest("SHA1", "72b41051cb61a9281ba3c4414c289da50d9a7640", hashlib.sha1(data).hexdigest()) check_digest( "SHA256", "20e42eb1b511c21806d4d227d07e5dd06877d8ce7b3a817f378f313653f35c70", hashlib.sha256(data).hexdigest()) IO-Compress-Brotli-0.019/brotli/scripts/dictionary/step-01-download-rfc.py0000644000175000017500000000056714606651215024505 0ustar timtim# Step 01 - download RFC7932. # # RFC is the ultimate source for brotli format and constants, including # static dictionary. import urllib2 response = urllib2.urlopen("https://tools.ietf.org/rfc/rfc7932.txt") text = response.read() path = "rfc7932.txt" with open(path, "w") as rfc: rfc.write(text) print("Downloaded and saved " + str(len(text)) + " bytes to " + path) IO-Compress-Brotli-0.019/brotli/scripts/dictionary/README.md0000644000175000017500000000026014606651215021632 0ustar timtimSet of tools that can be used to download brotli RFC, extract and validate binary dictionary, and generate dictionary derivatives (e.g. Java `DictionaryData` class constants). IO-Compress-Brotli-0.019/brotli/scripts/dictionary/step-02-rfc-to-bin.py0000644000175000017500000000156214606651215024063 0ustar timtim# Step 02 - parse RFC. # # Static dictionary is described in "Appendix A" section in a hexadecimal form. # This tool locates dictionary data in RFC and converts it to raw binary format. import re rfc_path = "rfc7932.txt" with open(rfc_path, "r") as rfc: lines = rfc.readlines() re_data_line = re.compile("^ [0-9a-f]{64}$") appendix_a_found = False dictionary = [] for line in lines: if appendix_a_found: if re_data_line.match(line) is not None: data = line.strip() for i in range(32): dictionary.append(int(data[2 * i:2 * i + 2], 16)) if len(dictionary) == 122784: break else: if line.startswith("Appendix A."): appendix_a_found = True bin_path = "dictionary.bin" with open(bin_path, "wb") as output: output.write(bytearray(dictionary)) print("Parsed and saved " + str(len(dictionary)) + " bytes to " + bin_path) IO-Compress-Brotli-0.019/brotli/compiler_config_setting.bzl0000644000175000017500000000254214606651213022127 0ustar timtim# Copyright 2018 Google Inc. All Rights Reserved. # # Distributed under MIT license. # See file LICENSE for detail or copy at https://opensource.org/licenses/MIT """Creates config_setting that allows selecting based on 'compiler' value.""" def create_msvc_config(): # The "do_not_use_tools_cpp_compiler_present" attribute exists to # distinguish between older versions of Bazel that do not support # "@bazel_tools//tools/cpp:compiler" flag_value, and newer ones that do. # In the future, the only way to select on the compiler will be through # flag_values{"@bazel_tools//tools/cpp:compiler"} and the else branch can # be removed. if hasattr(cc_common, "do_not_use_tools_cpp_compiler_present"): native.config_setting( name = "clang-cl", flag_values = { "@bazel_tools//tools/cpp:compiler": "clang-cl", }, visibility = ["//visibility:public"], ) native.config_setting( name = "msvc", flag_values = { "@bazel_tools//tools/cpp:compiler": "msvc-cl", }, visibility = ["//visibility:public"], ) else: native.config_setting( name = "clang-cl", values = {"compiler": "clang-cl"}, visibility = ["//visibility:public"], ) native.config_setting( name = "msvc", values = {"compiler": "msvc-cl"}, visibility = ["//visibility:public"], ) IO-Compress-Brotli-0.019/brotli/pyproject.toml0000644000175000017500000000012114606651213017425 0ustar timtim[build-system] requires = ["setuptools"] build-backend = "setuptools.build_meta" IO-Compress-Brotli-0.019/brotli/SECURITY.md0000644000175000017500000000047214606651213016313 0ustar timtim### Reporting To report a security issue, please use [https://g.co/vulnz](https://g.co/vulnz). We use g.co/vulnz for our intake, and do coordination and disclosure here on GitHub (including using GitHub Security Advisory). The Google Security Team will respond within 5 working days of your report on g.co/vulnz. IO-Compress-Brotli-0.019/brotli/LICENSE0000644000175000017500000000207414606651213015527 0ustar timtimCopyright (c) 2009, 2010, 2013-2016 by the Brotli Authors. Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. IO-Compress-Brotli-0.019/brotli/c/0000755000175000017500000000000014722655051014744 5ustar timtimIO-Compress-Brotli-0.019/brotli/c/include/0000755000175000017500000000000014722655051016367 5ustar timtimIO-Compress-Brotli-0.019/brotli/c/include/brotli/0000755000175000017500000000000014722655051017662 5ustar timtimIO-Compress-Brotli-0.019/brotli/c/include/brotli/decode.h0000644000175000017500000004076614606651213021270 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /** * @file * API for Brotli decompression. */ #ifndef BROTLI_DEC_DECODE_H_ #define BROTLI_DEC_DECODE_H_ #include #include #include #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /** * Opaque structure that holds decoder state. * * Allocated and initialized with ::BrotliDecoderCreateInstance. * Cleaned up and deallocated with ::BrotliDecoderDestroyInstance. */ typedef struct BrotliDecoderStateStruct BrotliDecoderState; /** * Result type for ::BrotliDecoderDecompress and * ::BrotliDecoderDecompressStream functions. */ typedef enum { /** Decoding error, e.g. corrupted input or memory allocation problem. */ BROTLI_DECODER_RESULT_ERROR = 0, /** Decoding successfully completed. */ BROTLI_DECODER_RESULT_SUCCESS = 1, /** Partially done; should be called again with more input. */ BROTLI_DECODER_RESULT_NEEDS_MORE_INPUT = 2, /** Partially done; should be called again with more output. */ BROTLI_DECODER_RESULT_NEEDS_MORE_OUTPUT = 3 } BrotliDecoderResult; /** * Template that evaluates items of ::BrotliDecoderErrorCode. * * Example: @code {.cpp} * // Log Brotli error code. * switch (brotliDecoderErrorCode) { * #define CASE_(PREFIX, NAME, CODE) \ * case BROTLI_DECODER ## PREFIX ## NAME: \ * LOG(INFO) << "error code:" << #NAME; \ * break; * #define NEWLINE_ * BROTLI_DECODER_ERROR_CODES_LIST(CASE_, NEWLINE_) * #undef CASE_ * #undef NEWLINE_ * default: LOG(FATAL) << "unknown brotli error code"; * } * @endcode */ #define BROTLI_DECODER_ERROR_CODES_LIST(BROTLI_ERROR_CODE, SEPARATOR) \ BROTLI_ERROR_CODE(_, NO_ERROR, 0) SEPARATOR \ /* Same as BrotliDecoderResult values */ \ BROTLI_ERROR_CODE(_, SUCCESS, 1) SEPARATOR \ BROTLI_ERROR_CODE(_, NEEDS_MORE_INPUT, 2) SEPARATOR \ BROTLI_ERROR_CODE(_, NEEDS_MORE_OUTPUT, 3) SEPARATOR \ \ /* Errors caused by invalid input */ \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, EXUBERANT_NIBBLE, -1) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, RESERVED, -2) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, EXUBERANT_META_NIBBLE, -3) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, SIMPLE_HUFFMAN_ALPHABET, -4) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, SIMPLE_HUFFMAN_SAME, -5) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, CL_SPACE, -6) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, HUFFMAN_SPACE, -7) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, CONTEXT_MAP_REPEAT, -8) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, BLOCK_LENGTH_1, -9) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, BLOCK_LENGTH_2, -10) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, TRANSFORM, -11) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, DICTIONARY, -12) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, WINDOW_BITS, -13) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, PADDING_1, -14) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, PADDING_2, -15) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_FORMAT_, DISTANCE, -16) SEPARATOR \ \ /* -17 code is reserved */ \ \ BROTLI_ERROR_CODE(_ERROR_, COMPOUND_DICTIONARY, -18) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_, DICTIONARY_NOT_SET, -19) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_, INVALID_ARGUMENTS, -20) SEPARATOR \ \ /* Memory allocation problems */ \ BROTLI_ERROR_CODE(_ERROR_ALLOC_, CONTEXT_MODES, -21) SEPARATOR \ /* Literal, insert and distance trees together */ \ BROTLI_ERROR_CODE(_ERROR_ALLOC_, TREE_GROUPS, -22) SEPARATOR \ /* -23..-24 codes are reserved for distinct tree groups */ \ BROTLI_ERROR_CODE(_ERROR_ALLOC_, CONTEXT_MAP, -25) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_ALLOC_, RING_BUFFER_1, -26) SEPARATOR \ BROTLI_ERROR_CODE(_ERROR_ALLOC_, RING_BUFFER_2, -27) SEPARATOR \ /* -28..-29 codes are reserved for dynamic ring-buffer allocation */ \ BROTLI_ERROR_CODE(_ERROR_ALLOC_, BLOCK_TYPE_TREES, -30) SEPARATOR \ \ /* "Impossible" states */ \ BROTLI_ERROR_CODE(_ERROR_, UNREACHABLE, -31) /** * Error code for detailed logging / production debugging. * * See ::BrotliDecoderGetErrorCode and ::BROTLI_LAST_ERROR_CODE. */ typedef enum { #define BROTLI_COMMA_ , #define BROTLI_ERROR_CODE_ENUM_ITEM_(PREFIX, NAME, CODE) \ BROTLI_DECODER ## PREFIX ## NAME = CODE BROTLI_DECODER_ERROR_CODES_LIST(BROTLI_ERROR_CODE_ENUM_ITEM_, BROTLI_COMMA_) } BrotliDecoderErrorCode; #undef BROTLI_ERROR_CODE_ENUM_ITEM_ #undef BROTLI_COMMA_ /** * The value of the last error code, negative integer. * * All other error code values are in the range from ::BROTLI_LAST_ERROR_CODE * to @c -1. There are also 4 other possible non-error codes @c 0 .. @c 3 in * ::BrotliDecoderErrorCode enumeration. */ #define BROTLI_LAST_ERROR_CODE BROTLI_DECODER_ERROR_UNREACHABLE /** Options to be used with ::BrotliDecoderSetParameter. */ typedef enum BrotliDecoderParameter { /** * Disable "canny" ring buffer allocation strategy. * * Ring buffer is allocated according to window size, despite the real size of * the content. */ BROTLI_DECODER_PARAM_DISABLE_RING_BUFFER_REALLOCATION = 0, /** * Flag that determines if "Large Window Brotli" is used. */ BROTLI_DECODER_PARAM_LARGE_WINDOW = 1 } BrotliDecoderParameter; /** * Sets the specified parameter to the given decoder instance. * * @param state decoder instance * @param param parameter to set * @param value new parameter value * @returns ::BROTLI_FALSE if parameter is unrecognized, or value is invalid * @returns ::BROTLI_TRUE if value is accepted */ BROTLI_DEC_API BROTLI_BOOL BrotliDecoderSetParameter( BrotliDecoderState* state, BrotliDecoderParameter param, uint32_t value); /** * Adds LZ77 prefix dictionary, adds or replaces built-in static dictionary and * transforms. * * Attached dictionary ownership is not transferred. * Data provided to this method should be kept accessible until * decoding is finished and decoder instance is destroyed. * * @note Dictionaries can NOT be attached after actual decoding is started. * * @param state decoder instance * @param type dictionary data format * @param data_size length of memory region pointed by @p data * @param data dictionary data in format corresponding to @p type * @returns ::BROTLI_FALSE if dictionary is corrupted, * or dictionary count limit is reached * @returns ::BROTLI_TRUE if dictionary is accepted / attached */ BROTLI_DEC_API BROTLI_BOOL BrotliDecoderAttachDictionary( BrotliDecoderState* state, BrotliSharedDictionaryType type, size_t data_size, const uint8_t data[BROTLI_ARRAY_PARAM(data_size)]); /** * Creates an instance of ::BrotliDecoderState and initializes it. * * The instance can be used once for decoding and should then be destroyed with * ::BrotliDecoderDestroyInstance, it cannot be reused for a new decoding * session. * * @p alloc_func and @p free_func @b MUST be both zero or both non-zero. In the * case they are both zero, default memory allocators are used. @p opaque is * passed to @p alloc_func and @p free_func when they are called. @p free_func * has to return without doing anything when asked to free a NULL pointer. * * @param alloc_func custom memory allocation function * @param free_func custom memory free function * @param opaque custom memory manager handle * @returns @c 0 if instance can not be allocated or initialized * @returns pointer to initialized ::BrotliDecoderState otherwise */ BROTLI_DEC_API BrotliDecoderState* BrotliDecoderCreateInstance( brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque); /** * Deinitializes and frees ::BrotliDecoderState instance. * * @param state decoder instance to be cleaned up and deallocated */ BROTLI_DEC_API void BrotliDecoderDestroyInstance(BrotliDecoderState* state); /** * Performs one-shot memory-to-memory decompression. * * Decompresses the data in @p encoded_buffer into @p decoded_buffer, and sets * @p *decoded_size to the decompressed length. * * @param encoded_size size of @p encoded_buffer * @param encoded_buffer compressed data buffer with at least @p encoded_size * addressable bytes * @param[in, out] decoded_size @b in: size of @p decoded_buffer; \n * @b out: length of decompressed data written to * @p decoded_buffer * @param decoded_buffer decompressed data destination buffer * @returns ::BROTLI_DECODER_RESULT_ERROR if input is corrupted, memory * allocation failed, or @p decoded_buffer is not large enough; * @returns ::BROTLI_DECODER_RESULT_SUCCESS otherwise */ BROTLI_DEC_API BrotliDecoderResult BrotliDecoderDecompress( size_t encoded_size, const uint8_t encoded_buffer[BROTLI_ARRAY_PARAM(encoded_size)], size_t* decoded_size, uint8_t decoded_buffer[BROTLI_ARRAY_PARAM(*decoded_size)]); /** * Decompresses the input stream to the output stream. * * The values @p *available_in and @p *available_out must specify the number of * bytes addressable at @p *next_in and @p *next_out respectively. * When @p *available_out is @c 0, @p next_out is allowed to be @c NULL. * * After each call, @p *available_in will be decremented by the amount of input * bytes consumed, and the @p *next_in pointer will be incremented by that * amount. Similarly, @p *available_out will be decremented by the amount of * output bytes written, and the @p *next_out pointer will be incremented by * that amount. * * @p total_out, if it is not a null-pointer, will be set to the number * of bytes decompressed since the last @p state initialization. * * @note Input is never overconsumed, so @p next_in and @p available_in could be * passed to the next consumer after decoding is complete. * * @param state decoder instance * @param[in, out] available_in @b in: amount of available input; \n * @b out: amount of unused input * @param[in, out] next_in pointer to the next compressed byte * @param[in, out] available_out @b in: length of output buffer; \n * @b out: remaining size of output buffer * @param[in, out] next_out output buffer cursor; * can be @c NULL if @p available_out is @c 0 * @param[out] total_out number of bytes decompressed so far; can be @c NULL * @returns ::BROTLI_DECODER_RESULT_ERROR if input is corrupted, memory * allocation failed, arguments were invalid, etc.; * use ::BrotliDecoderGetErrorCode to get detailed error code * @returns ::BROTLI_DECODER_RESULT_NEEDS_MORE_INPUT decoding is blocked until * more input data is provided * @returns ::BROTLI_DECODER_RESULT_NEEDS_MORE_OUTPUT decoding is blocked until * more output space is provided * @returns ::BROTLI_DECODER_RESULT_SUCCESS decoding is finished, no more * input might be consumed and no more output will be produced */ BROTLI_DEC_API BrotliDecoderResult BrotliDecoderDecompressStream( BrotliDecoderState* state, size_t* available_in, const uint8_t** next_in, size_t* available_out, uint8_t** next_out, size_t* total_out); /** * Checks if decoder has more output. * * @param state decoder instance * @returns ::BROTLI_TRUE, if decoder has some unconsumed output * @returns ::BROTLI_FALSE otherwise */ BROTLI_DEC_API BROTLI_BOOL BrotliDecoderHasMoreOutput( const BrotliDecoderState* state); /** * Acquires pointer to internal output buffer. * * This method is used to make language bindings easier and more efficient: * -# push data to ::BrotliDecoderDecompressStream, * until ::BROTLI_DECODER_RESULT_NEEDS_MORE_OUTPUT is reported * -# use ::BrotliDecoderTakeOutput to peek bytes and copy to language-specific * entity * * Also this could be useful if there is an output stream that is able to * consume all the provided data (e.g. when data is saved to file system). * * @attention After every call to ::BrotliDecoderTakeOutput @p *size bytes of * output are considered consumed for all consecutive calls to the * instance methods; returned pointer becomes invalidated as well. * * @note Decoder output is not guaranteed to be contiguous. This means that * after the size-unrestricted call to ::BrotliDecoderTakeOutput, * immediate next call to ::BrotliDecoderTakeOutput may return more data. * * @param state decoder instance * @param[in, out] size @b in: number of bytes caller is ready to take, @c 0 if * any amount could be handled; \n * @b out: amount of data pointed by returned pointer and * considered consumed; \n * out value is never greater than in value, unless it is @c 0 * @returns pointer to output data */ BROTLI_DEC_API const uint8_t* BrotliDecoderTakeOutput( BrotliDecoderState* state, size_t* size); /** * Checks if instance has already consumed input. * * Instance that returns ::BROTLI_FALSE is considered "fresh" and could be * reused. * * @param state decoder instance * @returns ::BROTLI_TRUE if decoder has already used some input bytes * @returns ::BROTLI_FALSE otherwise */ BROTLI_DEC_API BROTLI_BOOL BrotliDecoderIsUsed(const BrotliDecoderState* state); /** * Checks if decoder instance reached the final state. * * @param state decoder instance * @returns ::BROTLI_TRUE if decoder is in a state where it reached the end of * the input and produced all of the output * @returns ::BROTLI_FALSE otherwise */ BROTLI_DEC_API BROTLI_BOOL BrotliDecoderIsFinished( const BrotliDecoderState* state); /** * Acquires a detailed error code. * * Should be used only after ::BrotliDecoderDecompressStream returns * ::BROTLI_DECODER_RESULT_ERROR. * * See also ::BrotliDecoderErrorString * * @param state decoder instance * @returns last saved error code */ BROTLI_DEC_API BrotliDecoderErrorCode BrotliDecoderGetErrorCode( const BrotliDecoderState* state); /** * Converts error code to a c-string. */ BROTLI_DEC_API const char* BrotliDecoderErrorString(BrotliDecoderErrorCode c); /** * Gets a decoder library version. * * Look at BROTLI_MAKE_HEX_VERSION for more information. */ BROTLI_DEC_API uint32_t BrotliDecoderVersion(void); /** * Callback to fire on metadata block start. * * After this callback is fired, if @p size is not @c 0, it is followed by * ::brotli_decoder_metadata_chunk_func as more metadata block contents become * accessible. * * @param opaque callback handle * @param size size of metadata block */ typedef void (*brotli_decoder_metadata_start_func)(void* opaque, size_t size); /** * Callback to fire on metadata block chunk becomes available. * * This function can be invoked multiple times per metadata block; block should * be considered finished when sum of @p size matches the announced metadata * block size. Chunks contents pointed by @p data are transient and shouln not * be accessed after leaving the callback. * * @param opaque callback handle * @param data pointer to metadata contents * @param size size of metadata block chunk, at least @c 1 */ typedef void (*brotli_decoder_metadata_chunk_func)(void* opaque, const uint8_t* data, size_t size); /** * Sets callback for receiving metadata blocks. * * @param state decoder instance * @param start_func callback on metadata block start * @param chunk_func callback on metadata block chunk * @param opaque callback handle */ BROTLI_DEC_API void BrotliDecoderSetMetadataCallbacks( BrotliDecoderState* state, brotli_decoder_metadata_start_func start_func, brotli_decoder_metadata_chunk_func chunk_func, void* opaque); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_DEC_DECODE_H_ */ IO-Compress-Brotli-0.019/brotli/c/include/brotli/shared_dictionary.h0000644000175000017500000000671714606651213023536 0ustar timtim/* Copyright 2017 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* (Opaque) Shared Dictionary definition and utilities. */ #ifndef BROTLI_COMMON_SHARED_DICTIONARY_H_ #define BROTLI_COMMON_SHARED_DICTIONARY_H_ #include #include #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #define SHARED_BROTLI_MIN_DICTIONARY_WORD_LENGTH 4 #define SHARED_BROTLI_MAX_DICTIONARY_WORD_LENGTH 31 #define SHARED_BROTLI_NUM_DICTIONARY_CONTEXTS 64 #define SHARED_BROTLI_MAX_COMPOUND_DICTS 15 /** * Opaque structure that holds shared dictionary data. * * Allocated and initialized with ::BrotliSharedDictionaryCreateInstance. * Cleaned up and deallocated with ::BrotliSharedDictionaryDestroyInstance. */ typedef struct BrotliSharedDictionaryStruct BrotliSharedDictionary; /** * Input data type for ::BrotliSharedDictionaryAttach. */ typedef enum BrotliSharedDictionaryType { /** Raw LZ77 prefix dictionary. */ BROTLI_SHARED_DICTIONARY_RAW = 0, /** Serialized shared dictionary. * * DO NOT USE: methods accepting this value will fail. */ BROTLI_SHARED_DICTIONARY_SERIALIZED = 1 } BrotliSharedDictionaryType; /** * Creates an instance of ::BrotliSharedDictionary. * * Fresh instance has default word dictionary and transforms * and no LZ77 prefix dictionary. * * @p alloc_func and @p free_func @b MUST be both zero or both non-zero. In the * case they are both zero, default memory allocators are used. @p opaque is * passed to @p alloc_func and @p free_func when they are called. @p free_func * has to return without doing anything when asked to free a NULL pointer. * * @param alloc_func custom memory allocation function * @param free_func custom memory free function * @param opaque custom memory manager handle * @returns @c 0 if instance can not be allocated or initialized * @returns pointer to initialized ::BrotliSharedDictionary otherwise */ BROTLI_COMMON_API BrotliSharedDictionary* BrotliSharedDictionaryCreateInstance( brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque); /** * Deinitializes and frees ::BrotliSharedDictionary instance. * * @param dict shared dictionary instance to be cleaned up and deallocated */ BROTLI_COMMON_API void BrotliSharedDictionaryDestroyInstance( BrotliSharedDictionary* dict); /** * Attaches dictionary to a given instance of ::BrotliSharedDictionary. * * Dictionary to be attached is represented in a serialized format as a region * of memory. * * Provided data it partially referenced by a resulting (compound) dictionary, * and should be kept untouched, while at least one compound dictionary uses it. * This way memory overhead is kept minimal by the cost of additional resource * management. * * @param dict dictionary to extend * @param type type of dictionary to attach * @param data_size size of @p data * @param data serialized dictionary of type @p type, with at least @p data_size * addressable bytes * @returns ::BROTLI_TRUE if provided dictionary is successfully attached * @returns ::BROTLI_FALSE otherwise */ BROTLI_COMMON_API BROTLI_BOOL BrotliSharedDictionaryAttach( BrotliSharedDictionary* dict, BrotliSharedDictionaryType type, size_t data_size, const uint8_t data[BROTLI_ARRAY_PARAM(data_size)]); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_COMMON_SHARED_DICTIONARY_H_ */ IO-Compress-Brotli-0.019/brotli/c/include/brotli/types.h0000644000175000017500000000506714606651213021204 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /** * @file * Common types used in decoder and encoder API. */ #ifndef BROTLI_COMMON_TYPES_H_ #define BROTLI_COMMON_TYPES_H_ #include /* for size_t */ #if defined(_MSC_VER) && (_MSC_VER < 1600) typedef __int8 int8_t; typedef unsigned __int8 uint8_t; typedef __int16 int16_t; typedef unsigned __int16 uint16_t; typedef __int32 int32_t; typedef unsigned __int32 uint32_t; typedef unsigned __int64 uint64_t; typedef __int64 int64_t; #else #include #endif /* defined(_MSC_VER) && (_MSC_VER < 1600) */ /** * A portable @c bool replacement. * * ::BROTLI_BOOL is a "documentation" type: actually it is @c int, but in API it * denotes a type, whose only values are ::BROTLI_TRUE and ::BROTLI_FALSE. * * ::BROTLI_BOOL values passed to Brotli should either be ::BROTLI_TRUE or * ::BROTLI_FALSE, or be a result of ::TO_BROTLI_BOOL macros. * * ::BROTLI_BOOL values returned by Brotli should not be tested for equality * with @c true, @c false, ::BROTLI_TRUE, ::BROTLI_FALSE, but rather should be * evaluated, for example: @code{.cpp} * if (SomeBrotliFunction(encoder, BROTLI_TRUE) && * !OtherBrotliFunction(decoder, BROTLI_FALSE)) { * bool x = !!YetAnotherBrotliFunction(encoder, TO_BROLTI_BOOL(2 * 2 == 4)); * DoSomething(x); * } * @endcode */ #define BROTLI_BOOL int /** Portable @c true replacement. */ #define BROTLI_TRUE 1 /** Portable @c false replacement. */ #define BROTLI_FALSE 0 /** @c bool to ::BROTLI_BOOL conversion macros. */ #define TO_BROTLI_BOOL(X) (!!(X) ? BROTLI_TRUE : BROTLI_FALSE) #define BROTLI_MAKE_UINT64_T(high, low) ((((uint64_t)(high)) << 32) | low) #define BROTLI_UINT32_MAX (~((uint32_t)0)) #define BROTLI_SIZE_MAX (~((size_t)0)) /** * Allocating function pointer type. * * @param opaque custom memory manager handle provided by client * @param size requested memory region size; can not be @c 0 * @returns @c 0 in the case of failure * @returns a valid pointer to a memory region of at least @p size bytes * long otherwise */ typedef void* (*brotli_alloc_func)(void* opaque, size_t size); /** * Deallocating function pointer type. * * This function @b SHOULD do nothing if @p address is @c 0. * * @param opaque custom memory manager handle provided by client * @param address memory region pointer returned by ::brotli_alloc_func, or @c 0 */ typedef void (*brotli_free_func)(void* opaque, void* address); #endif /* BROTLI_COMMON_TYPES_H_ */ IO-Compress-Brotli-0.019/brotli/c/include/brotli/encode.h0000644000175000017500000004660114606651213021274 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /** * @file * API for Brotli compression. */ #ifndef BROTLI_ENC_ENCODE_H_ #define BROTLI_ENC_ENCODE_H_ #include #include #include #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /** Minimal value for ::BROTLI_PARAM_LGWIN parameter. */ #define BROTLI_MIN_WINDOW_BITS 10 /** * Maximal value for ::BROTLI_PARAM_LGWIN parameter. * * @note equal to @c BROTLI_MAX_DISTANCE_BITS constant. */ #define BROTLI_MAX_WINDOW_BITS 24 /** * Maximal value for ::BROTLI_PARAM_LGWIN parameter * in "Large Window Brotli" (32-bit). */ #define BROTLI_LARGE_MAX_WINDOW_BITS 30 /** Minimal value for ::BROTLI_PARAM_LGBLOCK parameter. */ #define BROTLI_MIN_INPUT_BLOCK_BITS 16 /** Maximal value for ::BROTLI_PARAM_LGBLOCK parameter. */ #define BROTLI_MAX_INPUT_BLOCK_BITS 24 /** Minimal value for ::BROTLI_PARAM_QUALITY parameter. */ #define BROTLI_MIN_QUALITY 0 /** Maximal value for ::BROTLI_PARAM_QUALITY parameter. */ #define BROTLI_MAX_QUALITY 11 /** Options for ::BROTLI_PARAM_MODE parameter. */ typedef enum BrotliEncoderMode { /** * Default compression mode. * * In this mode compressor does not know anything in advance about the * properties of the input. */ BROTLI_MODE_GENERIC = 0, /** Compression mode for UTF-8 formatted text input. */ BROTLI_MODE_TEXT = 1, /** Compression mode used in WOFF 2.0. */ BROTLI_MODE_FONT = 2 } BrotliEncoderMode; /** Default value for ::BROTLI_PARAM_QUALITY parameter. */ #define BROTLI_DEFAULT_QUALITY 11 /** Default value for ::BROTLI_PARAM_LGWIN parameter. */ #define BROTLI_DEFAULT_WINDOW 22 /** Default value for ::BROTLI_PARAM_MODE parameter. */ #define BROTLI_DEFAULT_MODE BROTLI_MODE_GENERIC /** Operations that can be performed by streaming encoder. */ typedef enum BrotliEncoderOperation { /** * Process input. * * Encoder may postpone producing output, until it has processed enough input. */ BROTLI_OPERATION_PROCESS = 0, /** * Produce output for all processed input. * * Actual flush is performed when input stream is depleted and there is enough * space in output stream. This means that client should repeat * ::BROTLI_OPERATION_FLUSH operation until @p available_in becomes @c 0, and * ::BrotliEncoderHasMoreOutput returns ::BROTLI_FALSE. If output is acquired * via ::BrotliEncoderTakeOutput, then operation should be repeated after * output buffer is drained. * * @warning Until flush is complete, client @b SHOULD @b NOT swap, * reduce or extend input stream. * * When flush is complete, output data will be sufficient for decoder to * reproduce all the given input. */ BROTLI_OPERATION_FLUSH = 1, /** * Finalize the stream. * * Actual finalization is performed when input stream is depleted and there is * enough space in output stream. This means that client should repeat * ::BROTLI_OPERATION_FINISH operation until @p available_in becomes @c 0, and * ::BrotliEncoderHasMoreOutput returns ::BROTLI_FALSE. If output is acquired * via ::BrotliEncoderTakeOutput, then operation should be repeated after * output buffer is drained. * * @warning Until finalization is complete, client @b SHOULD @b NOT swap, * reduce or extend input stream. * * Helper function ::BrotliEncoderIsFinished checks if stream is finalized and * output fully dumped. * * Adding more input data to finalized stream is impossible. */ BROTLI_OPERATION_FINISH = 2, /** * Emit metadata block to stream. * * Metadata is opaque to Brotli: neither encoder, nor decoder processes this * data or relies on it. It may be used to pass some extra information from * encoder client to decoder client without interfering with main data stream. * * @note Encoder may emit empty metadata blocks internally, to pad encoded * stream to byte boundary. * * @warning Until emitting metadata is complete client @b SHOULD @b NOT swap, * reduce or extend input stream. * * @warning The whole content of input buffer is considered to be the content * of metadata block. Do @b NOT @e append metadata to input stream, * before it is depleted with other operations. * * Stream is soft-flushed before metadata block is emitted. Metadata block * @b MUST be no longer than than 16MiB. */ BROTLI_OPERATION_EMIT_METADATA = 3 } BrotliEncoderOperation; /** Options to be used with ::BrotliEncoderSetParameter. */ typedef enum BrotliEncoderParameter { /** * Tune encoder for specific input. * * ::BrotliEncoderMode enumerates all available values. */ BROTLI_PARAM_MODE = 0, /** * The main compression speed-density lever. * * The higher the quality, the slower the compression. Range is * from ::BROTLI_MIN_QUALITY to ::BROTLI_MAX_QUALITY. */ BROTLI_PARAM_QUALITY = 1, /** * Recommended sliding LZ77 window size. * * Encoder may reduce this value, e.g. if input is much smaller than * window size. * * Window size is `(1 << value) - 16`. * * Range is from ::BROTLI_MIN_WINDOW_BITS to ::BROTLI_MAX_WINDOW_BITS. */ BROTLI_PARAM_LGWIN = 2, /** * Recommended input block size. * * Encoder may reduce this value, e.g. if input is much smaller than input * block size. * * Range is from ::BROTLI_MIN_INPUT_BLOCK_BITS to * ::BROTLI_MAX_INPUT_BLOCK_BITS. * * @note Bigger input block size allows better compression, but consumes more * memory. \n The rough formula of memory used for temporary input * storage is `3 << lgBlock`. */ BROTLI_PARAM_LGBLOCK = 3, /** * Flag that affects usage of "literal context modeling" format feature. * * This flag is a "decoding-speed vs compression ratio" trade-off. */ BROTLI_PARAM_DISABLE_LITERAL_CONTEXT_MODELING = 4, /** * Estimated total input size for all ::BrotliEncoderCompressStream calls. * * The default value is 0, which means that the total input size is unknown. */ BROTLI_PARAM_SIZE_HINT = 5, /** * Flag that determines if "Large Window Brotli" is used. */ BROTLI_PARAM_LARGE_WINDOW = 6, /** * Recommended number of postfix bits (NPOSTFIX). * * Encoder may change this value. * * Range is from 0 to ::BROTLI_MAX_NPOSTFIX. */ BROTLI_PARAM_NPOSTFIX = 7, /** * Recommended number of direct distance codes (NDIRECT). * * Encoder may change this value. * * Range is from 0 to (15 << NPOSTFIX) in steps of (1 << NPOSTFIX). */ BROTLI_PARAM_NDIRECT = 8, /** * Number of bytes of input stream already processed by a different instance. * * @note It is important to configure all the encoder instances with same * parameters (except this one) in order to allow all the encoded parts * obey the same restrictions implied by header. * * If offset is not 0, then stream header is omitted. * In any case output start is byte aligned, so for proper streams stitching * "predecessor" stream must be flushed. * * Range is not artificially limited, but all the values greater or equal to * maximal window size have the same effect. Values greater than 2**30 are not * allowed. */ BROTLI_PARAM_STREAM_OFFSET = 9 } BrotliEncoderParameter; /** * Opaque structure that holds encoder state. * * Allocated and initialized with ::BrotliEncoderCreateInstance. * Cleaned up and deallocated with ::BrotliEncoderDestroyInstance. */ typedef struct BrotliEncoderStateStruct BrotliEncoderState; /** * Sets the specified parameter to the given encoder instance. * * @param state encoder instance * @param param parameter to set * @param value new parameter value * @returns ::BROTLI_FALSE if parameter is unrecognized, or value is invalid * @returns ::BROTLI_FALSE if value of parameter can not be changed at current * encoder state (e.g. when encoding is started, window size might be * already encoded and therefore it is impossible to change it) * @returns ::BROTLI_TRUE if value is accepted * @warning invalid values might be accepted in case they would not break * encoding process. */ BROTLI_ENC_API BROTLI_BOOL BrotliEncoderSetParameter( BrotliEncoderState* state, BrotliEncoderParameter param, uint32_t value); /** * Creates an instance of ::BrotliEncoderState and initializes it. * * @p alloc_func and @p free_func @b MUST be both zero or both non-zero. In the * case they are both zero, default memory allocators are used. @p opaque is * passed to @p alloc_func and @p free_func when they are called. @p free_func * has to return without doing anything when asked to free a NULL pointer. * * @param alloc_func custom memory allocation function * @param free_func custom memory free function * @param opaque custom memory manager handle * @returns @c 0 if instance can not be allocated or initialized * @returns pointer to initialized ::BrotliEncoderState otherwise */ BROTLI_ENC_API BrotliEncoderState* BrotliEncoderCreateInstance( brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque); /** * Deinitializes and frees ::BrotliEncoderState instance. * * @param state decoder instance to be cleaned up and deallocated */ BROTLI_ENC_API void BrotliEncoderDestroyInstance(BrotliEncoderState* state); /* Opaque type for pointer to different possible internal structures containing dictionary prepared for the encoder */ typedef struct BrotliEncoderPreparedDictionaryStruct BrotliEncoderPreparedDictionary; /** * Prepares a shared dictionary from the given file format for the encoder. * * @p alloc_func and @p free_func @b MUST be both zero or both non-zero. In the * case they are both zero, default memory allocators are used. @p opaque is * passed to @p alloc_func and @p free_func when they are called. @p free_func * has to return without doing anything when asked to free a NULL pointer. * * @param type type of dictionary stored in data * @param data_size size of @p data buffer * @param data pointer to the dictionary data * @param quality the maximum Brotli quality to prepare the dictionary for, * use BROTLI_MAX_QUALITY by default * @param alloc_func custom memory allocation function * @param free_func custom memory free function * @param opaque custom memory manager handle */ BROTLI_ENC_API BrotliEncoderPreparedDictionary* BrotliEncoderPrepareDictionary(BrotliSharedDictionaryType type, size_t data_size, const uint8_t data[BROTLI_ARRAY_PARAM(data_size)], int quality, brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque); BROTLI_ENC_API void BrotliEncoderDestroyPreparedDictionary( BrotliEncoderPreparedDictionary* dictionary); /** * Attaches a prepared dictionary of any type to the encoder. Can be used * multiple times to attach multiple dictionaries. The dictionary type was * determined by BrotliEncoderPrepareDictionary. Multiple raw prefix * dictionaries and/or max 1 serialized dictionary with custom words can be * attached. * * @returns ::BROTLI_FALSE in case of error * @returns ::BROTLI_TRUE otherwise */ BROTLI_ENC_API BROTLI_BOOL BrotliEncoderAttachPreparedDictionary( BrotliEncoderState* state, const BrotliEncoderPreparedDictionary* dictionary); /** * Calculates the output size bound for the given @p input_size. * * @warning Result is only valid if quality is at least @c 2 and, in * case ::BrotliEncoderCompressStream was used, no flushes * (::BROTLI_OPERATION_FLUSH) were performed. * * @param input_size size of projected input * @returns @c 0 if result does not fit @c size_t */ BROTLI_ENC_API size_t BrotliEncoderMaxCompressedSize(size_t input_size); /** * Performs one-shot memory-to-memory compression. * * Compresses the data in @p input_buffer into @p encoded_buffer, and sets * @p *encoded_size to the compressed length. * * @note If ::BrotliEncoderMaxCompressedSize(@p input_size) returns non-zero * value, then output is guaranteed to be no longer than that. * * @note If @p lgwin is greater than ::BROTLI_MAX_WINDOW_BITS then resulting * stream might be incompatible with RFC 7932; to decode such streams, * decoder should be configured with * ::BROTLI_DECODER_PARAM_LARGE_WINDOW = @c 1 * * @param quality quality parameter value, e.g. ::BROTLI_DEFAULT_QUALITY * @param lgwin lgwin parameter value, e.g. ::BROTLI_DEFAULT_WINDOW * @param mode mode parameter value, e.g. ::BROTLI_DEFAULT_MODE * @param input_size size of @p input_buffer * @param input_buffer input data buffer with at least @p input_size * addressable bytes * @param[in, out] encoded_size @b in: size of @p encoded_buffer; \n * @b out: length of compressed data written to * @p encoded_buffer, or @c 0 if compression fails * @param encoded_buffer compressed data destination buffer * @returns ::BROTLI_FALSE in case of compression error * @returns ::BROTLI_FALSE if output buffer is too small * @returns ::BROTLI_TRUE otherwise */ BROTLI_ENC_API BROTLI_BOOL BrotliEncoderCompress( int quality, int lgwin, BrotliEncoderMode mode, size_t input_size, const uint8_t input_buffer[BROTLI_ARRAY_PARAM(input_size)], size_t* encoded_size, uint8_t encoded_buffer[BROTLI_ARRAY_PARAM(*encoded_size)]); /** * Compresses input stream to output stream. * * The values @p *available_in and @p *available_out must specify the number of * bytes addressable at @p *next_in and @p *next_out respectively. * When @p *available_out is @c 0, @p next_out is allowed to be @c NULL. * * After each call, @p *available_in will be decremented by the amount of input * bytes consumed, and the @p *next_in pointer will be incremented by that * amount. Similarly, @p *available_out will be decremented by the amount of * output bytes written, and the @p *next_out pointer will be incremented by * that amount. * * @p total_out, if it is not a null-pointer, will be set to the number * of bytes compressed since the last @p state initialization. * * * * Internally workflow consists of 3 tasks: * -# (optionally) copy input data to internal buffer * -# actually compress data and (optionally) store it to internal buffer * -# (optionally) copy compressed bytes from internal buffer to output stream * * Whenever all 3 tasks can't move forward anymore, or error occurs, this * method returns the control flow to caller. * * @p op is used to perform flush, finish the stream, or inject metadata block. * See ::BrotliEncoderOperation for more information. * * Flushing the stream means forcing encoding of all input passed to encoder and * completing the current output block, so it could be fully decoded by stream * decoder. To perform flush set @p op to ::BROTLI_OPERATION_FLUSH. * Under some circumstances (e.g. lack of output stream capacity) this operation * would require several calls to ::BrotliEncoderCompressStream. The method must * be called again until both input stream is depleted and encoder has no more * output (see ::BrotliEncoderHasMoreOutput) after the method is called. * * Finishing the stream means encoding of all input passed to encoder and * adding specific "final" marks, so stream decoder could determine that stream * is complete. To perform finish set @p op to ::BROTLI_OPERATION_FINISH. * Under some circumstances (e.g. lack of output stream capacity) this operation * would require several calls to ::BrotliEncoderCompressStream. The method must * be called again until both input stream is depleted and encoder has no more * output (see ::BrotliEncoderHasMoreOutput) after the method is called. * * @warning When flushing and finishing, @p op should not change until operation * is complete; input stream should not be swapped, reduced or * extended as well. * * @param state encoder instance * @param op requested operation * @param[in, out] available_in @b in: amount of available input; \n * @b out: amount of unused input * @param[in, out] next_in pointer to the next input byte * @param[in, out] available_out @b in: length of output buffer; \n * @b out: remaining size of output buffer * @param[in, out] next_out compressed output buffer cursor; * can be @c NULL if @p available_out is @c 0 * @param[out] total_out number of bytes produced so far; can be @c NULL * @returns ::BROTLI_FALSE if there was an error * @returns ::BROTLI_TRUE otherwise */ BROTLI_ENC_API BROTLI_BOOL BrotliEncoderCompressStream( BrotliEncoderState* state, BrotliEncoderOperation op, size_t* available_in, const uint8_t** next_in, size_t* available_out, uint8_t** next_out, size_t* total_out); /** * Checks if encoder instance reached the final state. * * @param state encoder instance * @returns ::BROTLI_TRUE if encoder is in a state where it reached the end of * the input and produced all of the output * @returns ::BROTLI_FALSE otherwise */ BROTLI_ENC_API BROTLI_BOOL BrotliEncoderIsFinished(BrotliEncoderState* state); /** * Checks if encoder has more output. * * @param state encoder instance * @returns ::BROTLI_TRUE, if encoder has some unconsumed output * @returns ::BROTLI_FALSE otherwise */ BROTLI_ENC_API BROTLI_BOOL BrotliEncoderHasMoreOutput( BrotliEncoderState* state); /** * Acquires pointer to internal output buffer. * * This method is used to make language bindings easier and more efficient: * -# push data to ::BrotliEncoderCompressStream, * until ::BrotliEncoderHasMoreOutput returns BROTLI_TRUE * -# use ::BrotliEncoderTakeOutput to peek bytes and copy to language-specific * entity * * Also this could be useful if there is an output stream that is able to * consume all the provided data (e.g. when data is saved to file system). * * @attention After every call to ::BrotliEncoderTakeOutput @p *size bytes of * output are considered consumed for all consecutive calls to the * instance methods; returned pointer becomes invalidated as well. * * @note Encoder output is not guaranteed to be contiguous. This means that * after the size-unrestricted call to ::BrotliEncoderTakeOutput, * immediate next call to ::BrotliEncoderTakeOutput may return more data. * * @param state encoder instance * @param[in, out] size @b in: number of bytes caller is ready to take, @c 0 if * any amount could be handled; \n * @b out: amount of data pointed by returned pointer and * considered consumed; \n * out value is never greater than in value, unless it is @c 0 * @returns pointer to output data */ BROTLI_ENC_API const uint8_t* BrotliEncoderTakeOutput( BrotliEncoderState* state, size_t* size); /* Returns the estimated peak memory usage (in bytes) of the BrotliCompress() function, not counting the memory needed for the input and output. */ BROTLI_ENC_EXTRA_API size_t BrotliEncoderEstimatePeakMemoryUsage( int quality, int lgwin, size_t input_size); /* Returns 0 if dictionary is not valid; otherwise returns allocation size. */ BROTLI_ENC_EXTRA_API size_t BrotliEncoderGetPreparedDictionarySize( const BrotliEncoderPreparedDictionary* dictionary); /** * Gets an encoder library version. * * Look at BROTLI_MAKE_HEX_VERSION for more information. */ BROTLI_ENC_API uint32_t BrotliEncoderVersion(void); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_ENCODE_H_ */ IO-Compress-Brotli-0.019/brotli/c/include/brotli/port.h0000644000175000017500000002625714606651213021030 0ustar timtim/* Copyright 2016 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Macros for compiler / platform specific API declarations. */ #ifndef BROTLI_COMMON_PORT_H_ #define BROTLI_COMMON_PORT_H_ /* The following macros were borrowed from https://github.com/nemequ/hedley * with permission of original author - Evan Nemerson */ /* >>> >>> >>> hedley macros */ #define BROTLI_MAKE_VERSION(major, minor, revision) \ (((major) * 1000000) + ((minor) * 1000) + (revision)) #if defined(__GNUC__) && defined(__GNUC_PATCHLEVEL__) #define BROTLI_GNUC_VERSION \ BROTLI_MAKE_VERSION(__GNUC__, __GNUC_MINOR__, __GNUC_PATCHLEVEL__) #elif defined(__GNUC__) #define BROTLI_GNUC_VERSION BROTLI_MAKE_VERSION(__GNUC__, __GNUC_MINOR__, 0) #endif #if defined(BROTLI_GNUC_VERSION) #define BROTLI_GNUC_VERSION_CHECK(major, minor, patch) \ (BROTLI_GNUC_VERSION >= BROTLI_MAKE_VERSION(major, minor, patch)) #else #define BROTLI_GNUC_VERSION_CHECK(major, minor, patch) (0) #endif #if defined(_MSC_FULL_VER) && (_MSC_FULL_VER >= 140000000) #define BROTLI_MSVC_VERSION \ BROTLI_MAKE_VERSION((_MSC_FULL_VER / 10000000), \ (_MSC_FULL_VER % 10000000) / 100000, \ (_MSC_FULL_VER % 100000) / 100) #elif defined(_MSC_FULL_VER) #define BROTLI_MSVC_VERSION \ BROTLI_MAKE_VERSION((_MSC_FULL_VER / 1000000), \ (_MSC_FULL_VER % 1000000) / 10000, \ (_MSC_FULL_VER % 10000) / 10) #elif defined(_MSC_VER) #define BROTLI_MSVC_VERSION \ BROTLI_MAKE_VERSION(_MSC_VER / 100, _MSC_VER % 100, 0) #endif #if !defined(_MSC_VER) #define BROTLI_MSVC_VERSION_CHECK(major, minor, patch) (0) #elif defined(_MSC_VER) && (_MSC_VER >= 1400) #define BROTLI_MSVC_VERSION_CHECK(major, minor, patch) \ (_MSC_FULL_VER >= ((major * 10000000) + (minor * 100000) + (patch))) #elif defined(_MSC_VER) && (_MSC_VER >= 1200) #define BROTLI_MSVC_VERSION_CHECK(major, minor, patch) \ (_MSC_FULL_VER >= ((major * 1000000) + (minor * 10000) + (patch))) #else #define BROTLI_MSVC_VERSION_CHECK(major, minor, patch) \ (_MSC_VER >= ((major * 100) + (minor))) #endif #if defined(__INTEL_COMPILER) && defined(__INTEL_COMPILER_UPDATE) #define BROTLI_INTEL_VERSION \ BROTLI_MAKE_VERSION(__INTEL_COMPILER / 100, \ __INTEL_COMPILER % 100, \ __INTEL_COMPILER_UPDATE) #elif defined(__INTEL_COMPILER) #define BROTLI_INTEL_VERSION \ BROTLI_MAKE_VERSION(__INTEL_COMPILER / 100, __INTEL_COMPILER % 100, 0) #endif #if defined(BROTLI_INTEL_VERSION) #define BROTLI_INTEL_VERSION_CHECK(major, minor, patch) \ (BROTLI_INTEL_VERSION >= BROTLI_MAKE_VERSION(major, minor, patch)) #else #define BROTLI_INTEL_VERSION_CHECK(major, minor, patch) (0) #endif #if defined(__PGI) && \ defined(__PGIC__) && defined(__PGIC_MINOR__) && defined(__PGIC_PATCHLEVEL__) #define BROTLI_PGI_VERSION \ BROTLI_MAKE_VERSION(__PGIC__, __PGIC_MINOR__, __PGIC_PATCHLEVEL__) #endif #if defined(BROTLI_PGI_VERSION) #define BROTLI_PGI_VERSION_CHECK(major, minor, patch) \ (BROTLI_PGI_VERSION >= BROTLI_MAKE_VERSION(major, minor, patch)) #else #define BROTLI_PGI_VERSION_CHECK(major, minor, patch) (0) #endif #if defined(__SUNPRO_C) && (__SUNPRO_C > 0x1000) #define BROTLI_SUNPRO_VERSION \ BROTLI_MAKE_VERSION( \ (((__SUNPRO_C >> 16) & 0xf) * 10) + ((__SUNPRO_C >> 12) & 0xf), \ (((__SUNPRO_C >> 8) & 0xf) * 10) + ((__SUNPRO_C >> 4) & 0xf), \ (__SUNPRO_C & 0xf) * 10) #elif defined(__SUNPRO_C) #define BROTLI_SUNPRO_VERSION \ BROTLI_MAKE_VERSION((__SUNPRO_C >> 8) & 0xf, \ (__SUNPRO_C >> 4) & 0xf, \ (__SUNPRO_C) & 0xf) #elif defined(__SUNPRO_CC) && (__SUNPRO_CC > 0x1000) #define BROTLI_SUNPRO_VERSION \ BROTLI_MAKE_VERSION( \ (((__SUNPRO_CC >> 16) & 0xf) * 10) + ((__SUNPRO_CC >> 12) & 0xf), \ (((__SUNPRO_CC >> 8) & 0xf) * 10) + ((__SUNPRO_CC >> 4) & 0xf), \ (__SUNPRO_CC & 0xf) * 10) #elif defined(__SUNPRO_CC) #define BROTLI_SUNPRO_VERSION \ BROTLI_MAKE_VERSION((__SUNPRO_CC >> 8) & 0xf, \ (__SUNPRO_CC >> 4) & 0xf, \ (__SUNPRO_CC) & 0xf) #endif #if defined(BROTLI_SUNPRO_VERSION) #define BROTLI_SUNPRO_VERSION_CHECK(major, minor, patch) \ (BROTLI_SUNPRO_VERSION >= BROTLI_MAKE_VERSION(major, minor, patch)) #else #define BROTLI_SUNPRO_VERSION_CHECK(major, minor, patch) (0) #endif #if defined(__CC_ARM) && defined(__ARMCOMPILER_VERSION) #define BROTLI_ARM_VERSION \ BROTLI_MAKE_VERSION((__ARMCOMPILER_VERSION / 1000000), \ (__ARMCOMPILER_VERSION % 1000000) / 10000, \ (__ARMCOMPILER_VERSION % 10000) / 100) #elif defined(__CC_ARM) && defined(__ARMCC_VERSION) #define BROTLI_ARM_VERSION \ BROTLI_MAKE_VERSION((__ARMCC_VERSION / 1000000), \ (__ARMCC_VERSION % 1000000) / 10000, \ (__ARMCC_VERSION % 10000) / 100) #endif #if defined(BROTLI_ARM_VERSION) #define BROTLI_ARM_VERSION_CHECK(major, minor, patch) \ (BROTLI_ARM_VERSION >= BROTLI_MAKE_VERSION(major, minor, patch)) #else #define BROTLI_ARM_VERSION_CHECK(major, minor, patch) (0) #endif #if defined(__ibmxl__) #define BROTLI_IBM_VERSION \ BROTLI_MAKE_VERSION(__ibmxl_version__, \ __ibmxl_release__, \ __ibmxl_modification__) #elif defined(__xlC__) && defined(__xlC_ver__) #define BROTLI_IBM_VERSION \ BROTLI_MAKE_VERSION(__xlC__ >> 8, __xlC__ & 0xff, (__xlC_ver__ >> 8) & 0xff) #elif defined(__xlC__) #define BROTLI_IBM_VERSION BROTLI_MAKE_VERSION(__xlC__ >> 8, __xlC__ & 0xff, 0) #endif #if defined(BROTLI_IBM_VERSION) #define BROTLI_IBM_VERSION_CHECK(major, minor, patch) \ (BROTLI_IBM_VERSION >= BROTLI_MAKE_VERSION(major, minor, patch)) #else #define BROTLI_IBM_VERSION_CHECK(major, minor, patch) (0) #endif #if defined(__TI_COMPILER_VERSION__) #define BROTLI_TI_VERSION \ BROTLI_MAKE_VERSION((__TI_COMPILER_VERSION__ / 1000000), \ (__TI_COMPILER_VERSION__ % 1000000) / 1000, \ (__TI_COMPILER_VERSION__ % 1000)) #endif #if defined(BROTLI_TI_VERSION) #define BROTLI_TI_VERSION_CHECK(major, minor, patch) \ (BROTLI_TI_VERSION >= BROTLI_MAKE_VERSION(major, minor, patch)) #else #define BROTLI_TI_VERSION_CHECK(major, minor, patch) (0) #endif #if defined(__IAR_SYSTEMS_ICC__) #if __VER__ > 1000 #define BROTLI_IAR_VERSION \ BROTLI_MAKE_VERSION((__VER__ / 1000000), \ (__VER__ / 1000) % 1000, \ (__VER__ % 1000)) #else #define BROTLI_IAR_VERSION BROTLI_MAKE_VERSION(VER / 100, __VER__ % 100, 0) #endif #endif #if defined(BROTLI_IAR_VERSION) #define BROTLI_IAR_VERSION_CHECK(major, minor, patch) \ (BROTLI_IAR_VERSION >= BROTLI_MAKE_VERSION(major, minor, patch)) #else #define BROTLI_IAR_VERSION_CHECK(major, minor, patch) (0) #endif #if defined(__TINYC__) #define BROTLI_TINYC_VERSION \ BROTLI_MAKE_VERSION(__TINYC__ / 1000, (__TINYC__ / 100) % 10, __TINYC__ % 100) #endif #if defined(BROTLI_TINYC_VERSION) #define BROTLI_TINYC_VERSION_CHECK(major, minor, patch) \ (BROTLI_TINYC_VERSION >= BROTLI_MAKE_VERSION(major, minor, patch)) #else #define BROTLI_TINYC_VERSION_CHECK(major, minor, patch) (0) #endif #if defined(__has_attribute) #define BROTLI_GNUC_HAS_ATTRIBUTE(attribute, major, minor, patch) \ __has_attribute(attribute) #else #define BROTLI_GNUC_HAS_ATTRIBUTE(attribute, major, minor, patch) \ BROTLI_GNUC_VERSION_CHECK(major, minor, patch) #endif #if defined(__has_builtin) #define BROTLI_GNUC_HAS_BUILTIN(builtin, major, minor, patch) \ __has_builtin(builtin) #else #define BROTLI_GNUC_HAS_BUILTIN(builtin, major, minor, patch) \ BROTLI_GNUC_VERSION_CHECK(major, minor, patch) #endif #if defined(__has_feature) #define BROTLI_HAS_FEATURE(feature) __has_feature(feature) #else #define BROTLI_HAS_FEATURE(feature) (0) #endif #if defined(_WIN32) || defined(__CYGWIN__) #define BROTLI_PUBLIC #elif BROTLI_GNUC_VERSION_CHECK(3, 3, 0) || \ BROTLI_TI_VERSION_CHECK(8, 0, 0) || \ BROTLI_INTEL_VERSION_CHECK(16, 0, 0) || \ BROTLI_ARM_VERSION_CHECK(4, 1, 0) || \ BROTLI_IBM_VERSION_CHECK(13, 1, 0) || \ BROTLI_SUNPRO_VERSION_CHECK(5, 11, 0) || \ (BROTLI_TI_VERSION_CHECK(7, 3, 0) && \ defined(__TI_GNU_ATTRIBUTE_SUPPORT__) && defined(__TI_EABI__)) #define BROTLI_PUBLIC __attribute__ ((visibility ("default"))) #else #define BROTLI_PUBLIC #endif /* BROTLI_INTERNAL could be defined to override visibility, e.g. for tests. */ #if !defined(BROTLI_INTERNAL) #if defined(_WIN32) || defined(__CYGWIN__) #define BROTLI_INTERNAL #elif BROTLI_GNUC_VERSION_CHECK(3, 3, 0) || \ BROTLI_TI_VERSION_CHECK(8, 0, 0) || \ BROTLI_INTEL_VERSION_CHECK(16, 0, 0) || \ BROTLI_ARM_VERSION_CHECK(4, 1, 0) || \ BROTLI_IBM_VERSION_CHECK(13, 1, 0) || \ BROTLI_SUNPRO_VERSION_CHECK(5, 11, 0) || \ (BROTLI_TI_VERSION_CHECK(7, 3, 0) && \ defined(__TI_GNU_ATTRIBUTE_SUPPORT__) && defined(__TI_EABI__)) #define BROTLI_INTERNAL __attribute__ ((visibility ("hidden"))) #else #define BROTLI_INTERNAL #endif #endif #if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L) && \ !defined(__STDC_NO_VLA__) && !defined(__cplusplus) && \ !defined(__PGI) && !defined(__PGIC__) && !defined(__TINYC__) && \ !defined(__clang__) #define BROTLI_ARRAY_PARAM(name) (name) #else #define BROTLI_ARRAY_PARAM(name) #endif /* <<< <<< <<< end of hedley macros. */ #if defined(BROTLI_SHARED_COMPILATION) #if defined(_WIN32) #if defined(BROTLICOMMON_SHARED_COMPILATION) #define BROTLI_COMMON_API __declspec(dllexport) #else #define BROTLI_COMMON_API __declspec(dllimport) #endif /* BROTLICOMMON_SHARED_COMPILATION */ #if defined(BROTLIDEC_SHARED_COMPILATION) #define BROTLI_DEC_API __declspec(dllexport) #else #define BROTLI_DEC_API __declspec(dllimport) #endif /* BROTLIDEC_SHARED_COMPILATION */ #if defined(BROTLIENC_SHARED_COMPILATION) #define BROTLI_ENC_API __declspec(dllexport) #else #define BROTLI_ENC_API __declspec(dllimport) #endif /* BROTLIENC_SHARED_COMPILATION */ #else /* _WIN32 */ #define BROTLI_COMMON_API BROTLI_PUBLIC #define BROTLI_DEC_API BROTLI_PUBLIC #define BROTLI_ENC_API BROTLI_PUBLIC #endif /* _WIN32 */ #else /* BROTLI_SHARED_COMPILATION */ #define BROTLI_COMMON_API #define BROTLI_DEC_API #define BROTLI_ENC_API #endif #if defined(BROTLI_BUILD_ENC_EXTRA_API) #define BROTLI_ENC_EXTRA_API BROTLI_ENC_API #else #define BROTLI_ENC_EXTRA_API BROTLI_INTERNAL #endif #endif /* BROTLI_COMMON_PORT_H_ */ IO-Compress-Brotli-0.019/brotli/c/dec/0000755000175000017500000000000014722655051015477 5ustar timtimIO-Compress-Brotli-0.019/brotli/c/dec/huffman.h0000644000175000017500000001001314606651213017264 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Utilities for building Huffman decoding tables. */ #ifndef BROTLI_DEC_HUFFMAN_H_ #define BROTLI_DEC_HUFFMAN_H_ #include #include "../common/platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #define BROTLI_HUFFMAN_MAX_CODE_LENGTH 15 /* BROTLI_NUM_BLOCK_LEN_SYMBOLS == 26 */ #define BROTLI_HUFFMAN_MAX_SIZE_26 396 /* BROTLI_MAX_BLOCK_TYPE_SYMBOLS == 258 */ #define BROTLI_HUFFMAN_MAX_SIZE_258 632 /* BROTLI_MAX_CONTEXT_MAP_SYMBOLS == 272 */ #define BROTLI_HUFFMAN_MAX_SIZE_272 646 #define BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH 5 #if ((defined(BROTLI_TARGET_ARMV7) || defined(BROTLI_TARGET_ARMV8_32)) && \ BROTLI_GNUC_HAS_ATTRIBUTE(aligned, 2, 7, 0)) #define BROTLI_HUFFMAN_CODE_FAST_LOAD #endif #if !defined(BROTLI_HUFFMAN_CODE_FAST_LOAD) /* Do not create this struct directly - use the ConstructHuffmanCode * constructor below! */ typedef struct { uint8_t bits; /* number of bits used for this symbol */ uint16_t value; /* symbol value or table offset */ } HuffmanCode; static BROTLI_INLINE HuffmanCode ConstructHuffmanCode(const uint8_t bits, const uint16_t value) { HuffmanCode h; h.bits = bits; h.value = value; return h; } /* Please use the following macros to optimize HuffmanCode accesses in hot * paths. * * For example, assuming |table| contains a HuffmanCode pointer: * * BROTLI_HC_MARK_TABLE_FOR_FAST_LOAD(table); * BROTLI_HC_ADJUST_TABLE_INDEX(table, index_into_table); * *bits = BROTLI_HC_GET_BITS(table); * *value = BROTLI_HC_GET_VALUE(table); * BROTLI_HC_ADJUST_TABLE_INDEX(table, offset); * *bits2 = BROTLI_HC_GET_BITS(table); * *value2 = BROTLI_HC_GET_VALUE(table); * */ #define BROTLI_HC_MARK_TABLE_FOR_FAST_LOAD(H) #define BROTLI_HC_ADJUST_TABLE_INDEX(H, V) H += (V) /* These must be given a HuffmanCode pointer! */ #define BROTLI_HC_FAST_LOAD_BITS(H) (H->bits) #define BROTLI_HC_FAST_LOAD_VALUE(H) (H->value) #else /* BROTLI_HUFFMAN_CODE_FAST_LOAD */ typedef BROTLI_ALIGNED(4) uint32_t HuffmanCode; static BROTLI_INLINE HuffmanCode ConstructHuffmanCode(const uint8_t bits, const uint16_t value) { return (HuffmanCode) ((value & 0xFFFF) << 16) | (bits & 0xFF); } #define BROTLI_HC_MARK_TABLE_FOR_FAST_LOAD(H) uint32_t __fastload_##H = (*H) #define BROTLI_HC_ADJUST_TABLE_INDEX(H, V) H += (V); __fastload_##H = (*H) /* These must be given a HuffmanCode pointer! */ #define BROTLI_HC_FAST_LOAD_BITS(H) ((__fastload_##H) & 0xFF) #define BROTLI_HC_FAST_LOAD_VALUE(H) ((__fastload_##H) >> 16) #endif /* BROTLI_HUFFMAN_CODE_FAST_LOAD */ /* Builds Huffman lookup table assuming code lengths are in symbol order. */ BROTLI_INTERNAL void BrotliBuildCodeLengthsHuffmanTable(HuffmanCode* root_table, const uint8_t* const code_lengths, uint16_t* count); /* Builds Huffman lookup table assuming code lengths are in symbol order. Returns size of resulting table. */ BROTLI_INTERNAL uint32_t BrotliBuildHuffmanTable(HuffmanCode* root_table, int root_bits, const uint16_t* const symbol_lists, uint16_t* count); /* Builds a simple Huffman table. The |num_symbols| parameter is to be interpreted as follows: 0 means 1 symbol, 1 means 2 symbols, 2 means 3 symbols, 3 means 4 symbols with lengths [2, 2, 2, 2], 4 means 4 symbols with lengths [1, 2, 3, 3]. */ BROTLI_INTERNAL uint32_t BrotliBuildSimpleHuffmanTable(HuffmanCode* table, int root_bits, uint16_t* symbols, uint32_t num_symbols); /* Contains a collection of Huffman trees with the same alphabet size. */ /* alphabet_size_limit is needed due to simple codes, since log2(alphabet_size_max) could be greater than log2(alphabet_size_limit). */ typedef struct { HuffmanCode** htrees; HuffmanCode* codes; uint16_t alphabet_size_max; uint16_t alphabet_size_limit; uint16_t num_htrees; } HuffmanTreeGroup; #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_DEC_HUFFMAN_H_ */ IO-Compress-Brotli-0.019/brotli/c/dec/state.h0000644000175000017500000003040214606651213016764 0ustar timtim/* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Brotli state for partial streaming decoding. */ #ifndef BROTLI_DEC_STATE_H_ #define BROTLI_DEC_STATE_H_ #include #include #include #include "../common/constants.h" #include "../common/dictionary.h" #include "../common/platform.h" #include "../common/transform.h" #include "bit_reader.h" #include "huffman.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* Graphviz diagram that describes state transitions: digraph States { graph [compound=true] concentrate=true node [shape="box"] UNINITED -> {LARGE_WINDOW_BITS -> INITIALIZE} subgraph cluster_metablock_workflow { style="rounded" label=< METABLOCK CYCLE > METABLOCK_BEGIN -> METABLOCK_HEADER METABLOCK_HEADER:sw -> METADATA METABLOCK_HEADER:s -> UNCOMPRESSED METABLOCK_HEADER:se -> METABLOCK_DONE:ne METADATA:s -> METABLOCK_DONE:w UNCOMPRESSED:s -> METABLOCK_DONE:n METABLOCK_DONE:e -> METABLOCK_BEGIN:e [constraint="false"] } INITIALIZE -> METABLOCK_BEGIN METABLOCK_DONE -> DONE subgraph cluster_compressed_metablock { style="rounded" label=< COMPRESSED METABLOCK > subgraph cluster_command { style="rounded" label=< HOT LOOP > _METABLOCK_DONE_PORT_ [shape=point style=invis] { // Set different shape for nodes returning from "compressed metablock". node [shape=invhouse]; CMD_INNER CMD_POST_DECODE_LITERALS; CMD_POST_WRAP_COPY; CMD_INNER_WRITE; CMD_POST_WRITE_1; } CMD_BEGIN -> CMD_INNER -> CMD_POST_DECODE_LITERALS -> CMD_POST_WRAP_COPY // IO ("write") nodes are not in the hot loop! CMD_INNER_WRITE [style=dashed] CMD_INNER -> CMD_INNER_WRITE CMD_POST_WRITE_1 [style=dashed] CMD_POST_DECODE_LITERALS -> CMD_POST_WRITE_1 CMD_POST_WRITE_2 [style=dashed] CMD_POST_WRAP_COPY -> CMD_POST_WRITE_2 CMD_POST_WRITE_1 -> CMD_BEGIN:s [constraint="false"] CMD_INNER_WRITE -> {CMD_INNER CMD_POST_DECODE_LITERALS} [constraint="false"] CMD_BEGIN:ne -> CMD_POST_DECODE_LITERALS [constraint="false"] CMD_POST_WRAP_COPY -> CMD_BEGIN [constraint="false"] CMD_POST_DECODE_LITERALS -> CMD_BEGIN:ne [constraint="false"] CMD_POST_WRITE_2 -> CMD_POST_WRAP_COPY [constraint="false"] {rank=same; CMD_BEGIN; CMD_INNER; CMD_POST_DECODE_LITERALS; CMD_POST_WRAP_COPY} {rank=same; CMD_INNER_WRITE; CMD_POST_WRITE_1; CMD_POST_WRITE_2} {CMD_INNER CMD_POST_DECODE_LITERALS CMD_POST_WRAP_COPY} -> _METABLOCK_DONE_PORT_ [style=invis] {CMD_INNER_WRITE CMD_POST_WRITE_1} -> _METABLOCK_DONE_PORT_ [constraint="false" style=invis] } BEFORE_COMPRESSED_METABLOCK_HEADER:s -> HUFFMAN_CODE_0:n HUFFMAN_CODE_0 -> HUFFMAN_CODE_1 -> HUFFMAN_CODE_2 -> HUFFMAN_CODE_3 HUFFMAN_CODE_0 -> METABLOCK_HEADER_2 -> CONTEXT_MODES -> CONTEXT_MAP_1 CONTEXT_MAP_1 -> CONTEXT_MAP_2 -> TREE_GROUP TREE_GROUP -> BEFORE_COMPRESSED_METABLOCK_BODY:e BEFORE_COMPRESSED_METABLOCK_BODY:s -> CMD_BEGIN:n HUFFMAN_CODE_3:e -> HUFFMAN_CODE_0:ne [constraint="false"] {rank=same; HUFFMAN_CODE_0; HUFFMAN_CODE_1; HUFFMAN_CODE_2; HUFFMAN_CODE_3} {rank=same; METABLOCK_HEADER_2; CONTEXT_MODES; CONTEXT_MAP_1; CONTEXT_MAP_2; TREE_GROUP} } METABLOCK_HEADER:e -> BEFORE_COMPRESSED_METABLOCK_HEADER:n _METABLOCK_DONE_PORT_ -> METABLOCK_DONE:se [constraint="false" ltail=cluster_command] UNINITED [shape=Mdiamond]; DONE [shape=Msquare]; } */ typedef enum { BROTLI_STATE_UNINITED, BROTLI_STATE_LARGE_WINDOW_BITS, BROTLI_STATE_INITIALIZE, BROTLI_STATE_METABLOCK_BEGIN, BROTLI_STATE_METABLOCK_HEADER, BROTLI_STATE_METABLOCK_HEADER_2, BROTLI_STATE_CONTEXT_MODES, BROTLI_STATE_COMMAND_BEGIN, BROTLI_STATE_COMMAND_INNER, BROTLI_STATE_COMMAND_POST_DECODE_LITERALS, BROTLI_STATE_COMMAND_POST_WRAP_COPY, BROTLI_STATE_UNCOMPRESSED, BROTLI_STATE_METADATA, BROTLI_STATE_COMMAND_INNER_WRITE, BROTLI_STATE_METABLOCK_DONE, BROTLI_STATE_COMMAND_POST_WRITE_1, BROTLI_STATE_COMMAND_POST_WRITE_2, BROTLI_STATE_BEFORE_COMPRESSED_METABLOCK_HEADER, BROTLI_STATE_HUFFMAN_CODE_0, BROTLI_STATE_HUFFMAN_CODE_1, BROTLI_STATE_HUFFMAN_CODE_2, BROTLI_STATE_HUFFMAN_CODE_3, BROTLI_STATE_CONTEXT_MAP_1, BROTLI_STATE_CONTEXT_MAP_2, BROTLI_STATE_TREE_GROUP, BROTLI_STATE_BEFORE_COMPRESSED_METABLOCK_BODY, BROTLI_STATE_DONE } BrotliRunningState; typedef enum { BROTLI_STATE_METABLOCK_HEADER_NONE, BROTLI_STATE_METABLOCK_HEADER_EMPTY, BROTLI_STATE_METABLOCK_HEADER_NIBBLES, BROTLI_STATE_METABLOCK_HEADER_SIZE, BROTLI_STATE_METABLOCK_HEADER_UNCOMPRESSED, BROTLI_STATE_METABLOCK_HEADER_RESERVED, BROTLI_STATE_METABLOCK_HEADER_BYTES, BROTLI_STATE_METABLOCK_HEADER_METADATA } BrotliRunningMetablockHeaderState; typedef enum { BROTLI_STATE_UNCOMPRESSED_NONE, BROTLI_STATE_UNCOMPRESSED_WRITE } BrotliRunningUncompressedState; typedef enum { BROTLI_STATE_TREE_GROUP_NONE, BROTLI_STATE_TREE_GROUP_LOOP } BrotliRunningTreeGroupState; typedef enum { BROTLI_STATE_CONTEXT_MAP_NONE, BROTLI_STATE_CONTEXT_MAP_READ_PREFIX, BROTLI_STATE_CONTEXT_MAP_HUFFMAN, BROTLI_STATE_CONTEXT_MAP_DECODE, BROTLI_STATE_CONTEXT_MAP_TRANSFORM } BrotliRunningContextMapState; typedef enum { BROTLI_STATE_HUFFMAN_NONE, BROTLI_STATE_HUFFMAN_SIMPLE_SIZE, BROTLI_STATE_HUFFMAN_SIMPLE_READ, BROTLI_STATE_HUFFMAN_SIMPLE_BUILD, BROTLI_STATE_HUFFMAN_COMPLEX, BROTLI_STATE_HUFFMAN_LENGTH_SYMBOLS } BrotliRunningHuffmanState; typedef enum { BROTLI_STATE_DECODE_UINT8_NONE, BROTLI_STATE_DECODE_UINT8_SHORT, BROTLI_STATE_DECODE_UINT8_LONG } BrotliRunningDecodeUint8State; typedef enum { BROTLI_STATE_READ_BLOCK_LENGTH_NONE, BROTLI_STATE_READ_BLOCK_LENGTH_SUFFIX } BrotliRunningReadBlockLengthState; /* BrotliDecoderState addon, used for Compound Dictionary functionality. */ typedef struct BrotliDecoderCompoundDictionary { int num_chunks; int total_size; int br_index; int br_offset; int br_length; int br_copied; const uint8_t* chunks[16]; int chunk_offsets[16]; int block_bits; uint8_t block_map[256]; } BrotliDecoderCompoundDictionary; typedef struct BrotliMetablockHeaderArena { BrotliRunningTreeGroupState substate_tree_group; BrotliRunningContextMapState substate_context_map; BrotliRunningHuffmanState substate_huffman; brotli_reg_t sub_loop_counter; brotli_reg_t repeat_code_len; brotli_reg_t prev_code_len; /* For ReadHuffmanCode. */ brotli_reg_t symbol; brotli_reg_t repeat; brotli_reg_t space; /* Huffman table for "histograms". */ HuffmanCode table[32]; /* List of heads of symbol chains. */ uint16_t* symbol_lists; /* Storage from symbol_lists. */ uint16_t symbols_lists_array[BROTLI_HUFFMAN_MAX_CODE_LENGTH + 1 + BROTLI_NUM_COMMAND_SYMBOLS]; /* Tails of symbol chains. */ int next_symbol[32]; uint8_t code_length_code_lengths[BROTLI_CODE_LENGTH_CODES]; /* Population counts for the code lengths. */ uint16_t code_length_histo[16]; /* TODO(eustas): +2 bytes padding */ /* For HuffmanTreeGroupDecode. */ int htree_index; HuffmanCode* next; /* For DecodeContextMap. */ brotli_reg_t context_index; brotli_reg_t max_run_length_prefix; brotli_reg_t code; HuffmanCode context_map_table[BROTLI_HUFFMAN_MAX_SIZE_272]; } BrotliMetablockHeaderArena; typedef struct BrotliMetablockBodyArena { uint8_t dist_extra_bits[544]; brotli_reg_t dist_offset[544]; } BrotliMetablockBodyArena; struct BrotliDecoderStateStruct { BrotliRunningState state; /* This counter is reused for several disjoint loops. */ int loop_counter; BrotliBitReader br; brotli_alloc_func alloc_func; brotli_free_func free_func; void* memory_manager_opaque; /* Temporary storage for remaining input. Brotli stream format is designed in a way, that 64 bits are enough to make progress in decoding. */ union { uint64_t u64; uint8_t u8[8]; } buffer; brotli_reg_t buffer_length; int pos; int max_backward_distance; int max_distance; int ringbuffer_size; int ringbuffer_mask; int dist_rb_idx; int dist_rb[4]; int error_code; int meta_block_remaining_len; uint8_t* ringbuffer; uint8_t* ringbuffer_end; HuffmanCode* htree_command; const uint8_t* context_lookup; uint8_t* context_map_slice; uint8_t* dist_context_map_slice; /* This ring buffer holds a few past copy distances that will be used by some special distance codes. */ HuffmanTreeGroup literal_hgroup; HuffmanTreeGroup insert_copy_hgroup; HuffmanTreeGroup distance_hgroup; HuffmanCode* block_type_trees; HuffmanCode* block_len_trees; /* This is true if the literal context map histogram type always matches the block type. It is then not needed to keep the context (faster decoding). */ int trivial_literal_context; /* Distance context is actual after command is decoded and before distance is computed. After distance computation it is used as a temporary variable. */ int distance_context; brotli_reg_t block_length[3]; brotli_reg_t block_length_index; brotli_reg_t num_block_types[3]; brotli_reg_t block_type_rb[6]; brotli_reg_t distance_postfix_bits; brotli_reg_t num_direct_distance_codes; brotli_reg_t num_dist_htrees; uint8_t* dist_context_map; HuffmanCode* literal_htree; /* For partial write operations. */ size_t rb_roundtrips; /* how many times we went around the ring-buffer */ size_t partial_pos_out; /* how much output to the user in total */ /* For InverseMoveToFrontTransform. */ brotli_reg_t mtf_upper_bound; uint32_t mtf[64 + 1]; int copy_length; int distance_code; uint8_t dist_htree_index; /* TODO(eustas): +3 bytes padding */ /* Less used attributes are at the end of this struct. */ brotli_decoder_metadata_start_func metadata_start_func; brotli_decoder_metadata_chunk_func metadata_chunk_func; void* metadata_callback_opaque; /* For reporting. */ uint64_t used_input; /* how many bytes of input are consumed */ /* States inside function calls. */ BrotliRunningMetablockHeaderState substate_metablock_header; BrotliRunningUncompressedState substate_uncompressed; BrotliRunningDecodeUint8State substate_decode_uint8; BrotliRunningReadBlockLengthState substate_read_block_length; int new_ringbuffer_size; /* TODO(eustas): +4 bytes padding */ unsigned int is_last_metablock : 1; unsigned int is_uncompressed : 1; unsigned int is_metadata : 1; unsigned int should_wrap_ringbuffer : 1; unsigned int canny_ringbuffer_allocation : 1; unsigned int large_window : 1; unsigned int window_bits : 6; unsigned int size_nibbles : 8; /* TODO(eustas): +12 bits padding */ brotli_reg_t num_literal_htrees; uint8_t* context_map; uint8_t* context_modes; BrotliSharedDictionary* dictionary; BrotliDecoderCompoundDictionary* compound_dictionary; uint32_t trivial_literal_contexts[8]; /* 256 bits */ union { BrotliMetablockHeaderArena header; BrotliMetablockBodyArena body; } arena; }; typedef struct BrotliDecoderStateStruct BrotliDecoderStateInternal; #define BrotliDecoderState BrotliDecoderStateInternal BROTLI_INTERNAL BROTLI_BOOL BrotliDecoderStateInit(BrotliDecoderState* s, brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque); BROTLI_INTERNAL void BrotliDecoderStateCleanup(BrotliDecoderState* s); BROTLI_INTERNAL void BrotliDecoderStateMetablockBegin(BrotliDecoderState* s); BROTLI_INTERNAL void BrotliDecoderStateCleanupAfterMetablock( BrotliDecoderState* s); BROTLI_INTERNAL BROTLI_BOOL BrotliDecoderHuffmanTreeGroupInit( BrotliDecoderState* s, HuffmanTreeGroup* group, brotli_reg_t alphabet_size_max, brotli_reg_t alphabet_size_limit, brotli_reg_t ntrees); #define BROTLI_DECODER_ALLOC(S, L) S->alloc_func(S->memory_manager_opaque, L) #define BROTLI_DECODER_FREE(S, X) { \ S->free_func(S->memory_manager_opaque, X); \ X = NULL; \ } /* Literal/Command/Distance block size maximum; same as maximum metablock size; used as block size when there is no block switching. */ #define BROTLI_BLOCK_SIZE_CAP (1U << 24) #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_DEC_STATE_H_ */ IO-Compress-Brotli-0.019/brotli/c/dec/bit_reader.c0000644000175000017500000000435514606651213017747 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Bit reading helpers */ #include "bit_reader.h" #include #include "../common/platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif const brotli_reg_t kBrotliBitMask[33] = { 0x00000000, 0x00000001, 0x00000003, 0x00000007, 0x0000000F, 0x0000001F, 0x0000003F, 0x0000007F, 0x000000FF, 0x000001FF, 0x000003FF, 0x000007FF, 0x00000FFF, 0x00001FFF, 0x00003FFF, 0x00007FFF, 0x0000FFFF, 0x0001FFFF, 0x0003FFFF, 0x0007FFFF, 0x000FFFFF, 0x001FFFFF, 0x003FFFFF, 0x007FFFFF, 0x00FFFFFF, 0x01FFFFFF, 0x03FFFFFF, 0x07FFFFFF, 0x0FFFFFFF, 0x1FFFFFFF, 0x3FFFFFFF, 0x7FFFFFFF, 0xFFFFFFFF }; void BrotliInitBitReader(BrotliBitReader* const br) { br->val_ = 0; br->bit_pos_ = 0; } BROTLI_BOOL BrotliWarmupBitReader(BrotliBitReader* const br) { size_t aligned_read_mask = (sizeof(br->val_) >> 1) - 1; /* Fixing alignment after unaligned BrotliFillWindow would result accumulator overflow. If unalignment is caused by BrotliSafeReadBits, then there is enough space in accumulator to fix alignment. */ if (BROTLI_UNALIGNED_READ_FAST) { aligned_read_mask = 0; } if (BrotliGetAvailableBits(br) == 0) { br->val_ = 0; if (!BrotliPullByte(br)) { return BROTLI_FALSE; } } while ((((size_t)br->next_in) & aligned_read_mask) != 0) { if (!BrotliPullByte(br)) { /* If we consumed all the input, we don't care about the alignment. */ return BROTLI_TRUE; } } return BROTLI_TRUE; } BROTLI_BOOL BrotliSafeReadBits32Slow(BrotliBitReader* const br, brotli_reg_t n_bits, brotli_reg_t* val) { brotli_reg_t low_val; brotli_reg_t high_val; BrotliBitReaderState memento; BROTLI_DCHECK(n_bits <= 32); BROTLI_DCHECK(n_bits > 24); BrotliBitReaderSaveState(br, &memento); if (!BrotliSafeReadBits(br, 16, &low_val) || !BrotliSafeReadBits(br, n_bits - 16, &high_val)) { BrotliBitReaderRestoreState(br, &memento); return BROTLI_FALSE; } *val = low_val | (high_val << 16); return BROTLI_TRUE; } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/dec/prefix.h0000644000175000017500000007557414606651213017164 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Lookup tables to map prefix codes to value ranges. This is used during decoding of the block lengths, literal insertion lengths and copy lengths. */ #ifndef BROTLI_DEC_PREFIX_H_ #define BROTLI_DEC_PREFIX_H_ #include #include "../common/constants.h" typedef struct CmdLutElement { uint8_t insert_len_extra_bits; uint8_t copy_len_extra_bits; int8_t distance_code; uint8_t context; uint16_t insert_len_offset; uint16_t copy_len_offset; } CmdLutElement; static const CmdLutElement kCmdLut[BROTLI_NUM_COMMAND_SYMBOLS] = { { 0x00, 0x00, 0, 0x00, 0x0000, 0x0002 }, { 0x00, 0x00, 0, 0x01, 0x0000, 0x0003 }, { 0x00, 0x00, 0, 0x02, 0x0000, 0x0004 }, { 0x00, 0x00, 0, 0x03, 0x0000, 0x0005 }, { 0x00, 0x00, 0, 0x03, 0x0000, 0x0006 }, { 0x00, 0x00, 0, 0x03, 0x0000, 0x0007 }, { 0x00, 0x00, 0, 0x03, 0x0000, 0x0008 }, { 0x00, 0x00, 0, 0x03, 0x0000, 0x0009 }, { 0x00, 0x00, 0, 0x00, 0x0001, 0x0002 }, { 0x00, 0x00, 0, 0x01, 0x0001, 0x0003 }, { 0x00, 0x00, 0, 0x02, 0x0001, 0x0004 }, { 0x00, 0x00, 0, 0x03, 0x0001, 0x0005 }, { 0x00, 0x00, 0, 0x03, 0x0001, 0x0006 }, { 0x00, 0x00, 0, 0x03, 0x0001, 0x0007 }, { 0x00, 0x00, 0, 0x03, 0x0001, 0x0008 }, { 0x00, 0x00, 0, 0x03, 0x0001, 0x0009 }, { 0x00, 0x00, 0, 0x00, 0x0002, 0x0002 }, { 0x00, 0x00, 0, 0x01, 0x0002, 0x0003 }, { 0x00, 0x00, 0, 0x02, 0x0002, 0x0004 }, { 0x00, 0x00, 0, 0x03, 0x0002, 0x0005 }, { 0x00, 0x00, 0, 0x03, 0x0002, 0x0006 }, { 0x00, 0x00, 0, 0x03, 0x0002, 0x0007 }, { 0x00, 0x00, 0, 0x03, 0x0002, 0x0008 }, { 0x00, 0x00, 0, 0x03, 0x0002, 0x0009 }, { 0x00, 0x00, 0, 0x00, 0x0003, 0x0002 }, { 0x00, 0x00, 0, 0x01, 0x0003, 0x0003 }, { 0x00, 0x00, 0, 0x02, 0x0003, 0x0004 }, { 0x00, 0x00, 0, 0x03, 0x0003, 0x0005 }, { 0x00, 0x00, 0, 0x03, 0x0003, 0x0006 }, { 0x00, 0x00, 0, 0x03, 0x0003, 0x0007 }, { 0x00, 0x00, 0, 0x03, 0x0003, 0x0008 }, { 0x00, 0x00, 0, 0x03, 0x0003, 0x0009 }, { 0x00, 0x00, 0, 0x00, 0x0004, 0x0002 }, { 0x00, 0x00, 0, 0x01, 0x0004, 0x0003 }, { 0x00, 0x00, 0, 0x02, 0x0004, 0x0004 }, { 0x00, 0x00, 0, 0x03, 0x0004, 0x0005 }, { 0x00, 0x00, 0, 0x03, 0x0004, 0x0006 }, { 0x00, 0x00, 0, 0x03, 0x0004, 0x0007 }, { 0x00, 0x00, 0, 0x03, 0x0004, 0x0008 }, { 0x00, 0x00, 0, 0x03, 0x0004, 0x0009 }, { 0x00, 0x00, 0, 0x00, 0x0005, 0x0002 }, { 0x00, 0x00, 0, 0x01, 0x0005, 0x0003 }, { 0x00, 0x00, 0, 0x02, 0x0005, 0x0004 }, { 0x00, 0x00, 0, 0x03, 0x0005, 0x0005 }, { 0x00, 0x00, 0, 0x03, 0x0005, 0x0006 }, { 0x00, 0x00, 0, 0x03, 0x0005, 0x0007 }, { 0x00, 0x00, 0, 0x03, 0x0005, 0x0008 }, { 0x00, 0x00, 0, 0x03, 0x0005, 0x0009 }, { 0x01, 0x00, 0, 0x00, 0x0006, 0x0002 }, { 0x01, 0x00, 0, 0x01, 0x0006, 0x0003 }, { 0x01, 0x00, 0, 0x02, 0x0006, 0x0004 }, { 0x01, 0x00, 0, 0x03, 0x0006, 0x0005 }, { 0x01, 0x00, 0, 0x03, 0x0006, 0x0006 }, { 0x01, 0x00, 0, 0x03, 0x0006, 0x0007 }, { 0x01, 0x00, 0, 0x03, 0x0006, 0x0008 }, { 0x01, 0x00, 0, 0x03, 0x0006, 0x0009 }, { 0x01, 0x00, 0, 0x00, 0x0008, 0x0002 }, { 0x01, 0x00, 0, 0x01, 0x0008, 0x0003 }, { 0x01, 0x00, 0, 0x02, 0x0008, 0x0004 }, { 0x01, 0x00, 0, 0x03, 0x0008, 0x0005 }, { 0x01, 0x00, 0, 0x03, 0x0008, 0x0006 }, { 0x01, 0x00, 0, 0x03, 0x0008, 0x0007 }, { 0x01, 0x00, 0, 0x03, 0x0008, 0x0008 }, { 0x01, 0x00, 0, 0x03, 0x0008, 0x0009 }, { 0x00, 0x01, 0, 0x03, 0x0000, 0x000a }, { 0x00, 0x01, 0, 0x03, 0x0000, 0x000c }, { 0x00, 0x02, 0, 0x03, 0x0000, 0x000e }, { 0x00, 0x02, 0, 0x03, 0x0000, 0x0012 }, { 0x00, 0x03, 0, 0x03, 0x0000, 0x0016 }, { 0x00, 0x03, 0, 0x03, 0x0000, 0x001e }, { 0x00, 0x04, 0, 0x03, 0x0000, 0x0026 }, { 0x00, 0x04, 0, 0x03, 0x0000, 0x0036 }, { 0x00, 0x01, 0, 0x03, 0x0001, 0x000a }, { 0x00, 0x01, 0, 0x03, 0x0001, 0x000c }, { 0x00, 0x02, 0, 0x03, 0x0001, 0x000e }, { 0x00, 0x02, 0, 0x03, 0x0001, 0x0012 }, { 0x00, 0x03, 0, 0x03, 0x0001, 0x0016 }, { 0x00, 0x03, 0, 0x03, 0x0001, 0x001e }, { 0x00, 0x04, 0, 0x03, 0x0001, 0x0026 }, { 0x00, 0x04, 0, 0x03, 0x0001, 0x0036 }, { 0x00, 0x01, 0, 0x03, 0x0002, 0x000a }, { 0x00, 0x01, 0, 0x03, 0x0002, 0x000c }, { 0x00, 0x02, 0, 0x03, 0x0002, 0x000e }, { 0x00, 0x02, 0, 0x03, 0x0002, 0x0012 }, { 0x00, 0x03, 0, 0x03, 0x0002, 0x0016 }, { 0x00, 0x03, 0, 0x03, 0x0002, 0x001e }, { 0x00, 0x04, 0, 0x03, 0x0002, 0x0026 }, { 0x00, 0x04, 0, 0x03, 0x0002, 0x0036 }, { 0x00, 0x01, 0, 0x03, 0x0003, 0x000a }, { 0x00, 0x01, 0, 0x03, 0x0003, 0x000c }, { 0x00, 0x02, 0, 0x03, 0x0003, 0x000e }, { 0x00, 0x02, 0, 0x03, 0x0003, 0x0012 }, { 0x00, 0x03, 0, 0x03, 0x0003, 0x0016 }, { 0x00, 0x03, 0, 0x03, 0x0003, 0x001e }, { 0x00, 0x04, 0, 0x03, 0x0003, 0x0026 }, { 0x00, 0x04, 0, 0x03, 0x0003, 0x0036 }, { 0x00, 0x01, 0, 0x03, 0x0004, 0x000a }, { 0x00, 0x01, 0, 0x03, 0x0004, 0x000c }, { 0x00, 0x02, 0, 0x03, 0x0004, 0x000e }, { 0x00, 0x02, 0, 0x03, 0x0004, 0x0012 }, { 0x00, 0x03, 0, 0x03, 0x0004, 0x0016 }, { 0x00, 0x03, 0, 0x03, 0x0004, 0x001e }, { 0x00, 0x04, 0, 0x03, 0x0004, 0x0026 }, { 0x00, 0x04, 0, 0x03, 0x0004, 0x0036 }, { 0x00, 0x01, 0, 0x03, 0x0005, 0x000a }, { 0x00, 0x01, 0, 0x03, 0x0005, 0x000c }, { 0x00, 0x02, 0, 0x03, 0x0005, 0x000e }, { 0x00, 0x02, 0, 0x03, 0x0005, 0x0012 }, { 0x00, 0x03, 0, 0x03, 0x0005, 0x0016 }, { 0x00, 0x03, 0, 0x03, 0x0005, 0x001e }, { 0x00, 0x04, 0, 0x03, 0x0005, 0x0026 }, { 0x00, 0x04, 0, 0x03, 0x0005, 0x0036 }, { 0x01, 0x01, 0, 0x03, 0x0006, 0x000a }, { 0x01, 0x01, 0, 0x03, 0x0006, 0x000c }, { 0x01, 0x02, 0, 0x03, 0x0006, 0x000e }, { 0x01, 0x02, 0, 0x03, 0x0006, 0x0012 }, { 0x01, 0x03, 0, 0x03, 0x0006, 0x0016 }, { 0x01, 0x03, 0, 0x03, 0x0006, 0x001e }, { 0x01, 0x04, 0, 0x03, 0x0006, 0x0026 }, { 0x01, 0x04, 0, 0x03, 0x0006, 0x0036 }, { 0x01, 0x01, 0, 0x03, 0x0008, 0x000a }, { 0x01, 0x01, 0, 0x03, 0x0008, 0x000c }, { 0x01, 0x02, 0, 0x03, 0x0008, 0x000e }, { 0x01, 0x02, 0, 0x03, 0x0008, 0x0012 }, { 0x01, 0x03, 0, 0x03, 0x0008, 0x0016 }, { 0x01, 0x03, 0, 0x03, 0x0008, 0x001e }, { 0x01, 0x04, 0, 0x03, 0x0008, 0x0026 }, { 0x01, 0x04, 0, 0x03, 0x0008, 0x0036 }, { 0x00, 0x00, -1, 0x00, 0x0000, 0x0002 }, { 0x00, 0x00, -1, 0x01, 0x0000, 0x0003 }, { 0x00, 0x00, -1, 0x02, 0x0000, 0x0004 }, { 0x00, 0x00, -1, 0x03, 0x0000, 0x0005 }, { 0x00, 0x00, -1, 0x03, 0x0000, 0x0006 }, { 0x00, 0x00, -1, 0x03, 0x0000, 0x0007 }, { 0x00, 0x00, -1, 0x03, 0x0000, 0x0008 }, { 0x00, 0x00, -1, 0x03, 0x0000, 0x0009 }, { 0x00, 0x00, -1, 0x00, 0x0001, 0x0002 }, { 0x00, 0x00, -1, 0x01, 0x0001, 0x0003 }, { 0x00, 0x00, -1, 0x02, 0x0001, 0x0004 }, { 0x00, 0x00, -1, 0x03, 0x0001, 0x0005 }, { 0x00, 0x00, -1, 0x03, 0x0001, 0x0006 }, { 0x00, 0x00, -1, 0x03, 0x0001, 0x0007 }, { 0x00, 0x00, -1, 0x03, 0x0001, 0x0008 }, { 0x00, 0x00, -1, 0x03, 0x0001, 0x0009 }, { 0x00, 0x00, -1, 0x00, 0x0002, 0x0002 }, { 0x00, 0x00, -1, 0x01, 0x0002, 0x0003 }, { 0x00, 0x00, -1, 0x02, 0x0002, 0x0004 }, { 0x00, 0x00, -1, 0x03, 0x0002, 0x0005 }, { 0x00, 0x00, -1, 0x03, 0x0002, 0x0006 }, { 0x00, 0x00, -1, 0x03, 0x0002, 0x0007 }, { 0x00, 0x00, -1, 0x03, 0x0002, 0x0008 }, { 0x00, 0x00, -1, 0x03, 0x0002, 0x0009 }, { 0x00, 0x00, -1, 0x00, 0x0003, 0x0002 }, { 0x00, 0x00, -1, 0x01, 0x0003, 0x0003 }, { 0x00, 0x00, -1, 0x02, 0x0003, 0x0004 }, { 0x00, 0x00, -1, 0x03, 0x0003, 0x0005 }, { 0x00, 0x00, -1, 0x03, 0x0003, 0x0006 }, { 0x00, 0x00, -1, 0x03, 0x0003, 0x0007 }, { 0x00, 0x00, -1, 0x03, 0x0003, 0x0008 }, { 0x00, 0x00, -1, 0x03, 0x0003, 0x0009 }, { 0x00, 0x00, -1, 0x00, 0x0004, 0x0002 }, { 0x00, 0x00, -1, 0x01, 0x0004, 0x0003 }, { 0x00, 0x00, -1, 0x02, 0x0004, 0x0004 }, { 0x00, 0x00, -1, 0x03, 0x0004, 0x0005 }, { 0x00, 0x00, -1, 0x03, 0x0004, 0x0006 }, { 0x00, 0x00, -1, 0x03, 0x0004, 0x0007 }, { 0x00, 0x00, -1, 0x03, 0x0004, 0x0008 }, { 0x00, 0x00, -1, 0x03, 0x0004, 0x0009 }, { 0x00, 0x00, -1, 0x00, 0x0005, 0x0002 }, { 0x00, 0x00, -1, 0x01, 0x0005, 0x0003 }, { 0x00, 0x00, -1, 0x02, 0x0005, 0x0004 }, { 0x00, 0x00, -1, 0x03, 0x0005, 0x0005 }, { 0x00, 0x00, -1, 0x03, 0x0005, 0x0006 }, { 0x00, 0x00, -1, 0x03, 0x0005, 0x0007 }, { 0x00, 0x00, -1, 0x03, 0x0005, 0x0008 }, { 0x00, 0x00, -1, 0x03, 0x0005, 0x0009 }, { 0x01, 0x00, -1, 0x00, 0x0006, 0x0002 }, { 0x01, 0x00, -1, 0x01, 0x0006, 0x0003 }, { 0x01, 0x00, -1, 0x02, 0x0006, 0x0004 }, { 0x01, 0x00, -1, 0x03, 0x0006, 0x0005 }, { 0x01, 0x00, -1, 0x03, 0x0006, 0x0006 }, { 0x01, 0x00, -1, 0x03, 0x0006, 0x0007 }, { 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0x0004 }, { 0x0c, 0x00, -1, 0x03, 0x0842, 0x0005 }, { 0x0c, 0x00, -1, 0x03, 0x0842, 0x0006 }, { 0x0c, 0x00, -1, 0x03, 0x0842, 0x0007 }, { 0x0c, 0x00, -1, 0x03, 0x0842, 0x0008 }, { 0x0c, 0x00, -1, 0x03, 0x0842, 0x0009 }, { 0x0e, 0x00, -1, 0x00, 0x1842, 0x0002 }, { 0x0e, 0x00, -1, 0x01, 0x1842, 0x0003 }, { 0x0e, 0x00, -1, 0x02, 0x1842, 0x0004 }, { 0x0e, 0x00, -1, 0x03, 0x1842, 0x0005 }, { 0x0e, 0x00, -1, 0x03, 0x1842, 0x0006 }, { 0x0e, 0x00, -1, 0x03, 0x1842, 0x0007 }, { 0x0e, 0x00, -1, 0x03, 0x1842, 0x0008 }, { 0x0e, 0x00, -1, 0x03, 0x1842, 0x0009 }, { 0x18, 0x00, -1, 0x00, 0x5842, 0x0002 }, { 0x18, 0x00, -1, 0x01, 0x5842, 0x0003 }, { 0x18, 0x00, -1, 0x02, 0x5842, 0x0004 }, { 0x18, 0x00, -1, 0x03, 0x5842, 0x0005 }, { 0x18, 0x00, -1, 0x03, 0x5842, 0x0006 }, { 0x18, 0x00, -1, 0x03, 0x5842, 0x0007 }, { 0x18, 0x00, -1, 0x03, 0x5842, 0x0008 }, { 0x18, 0x00, -1, 0x03, 0x5842, 0x0009 }, { 0x02, 0x05, -1, 0x03, 0x000a, 0x0046 }, { 0x02, 0x05, -1, 0x03, 0x000a, 0x0066 }, { 0x02, 0x06, -1, 0x03, 0x000a, 0x0086 }, { 0x02, 0x07, -1, 0x03, 0x000a, 0x00c6 }, { 0x02, 0x08, -1, 0x03, 0x000a, 0x0146 }, { 0x02, 0x09, -1, 0x03, 0x000a, 0x0246 }, { 0x02, 0x0a, -1, 0x03, 0x000a, 0x0446 }, { 0x02, 0x18, -1, 0x03, 0x000a, 0x0846 }, { 0x02, 0x05, -1, 0x03, 0x000e, 0x0046 }, { 0x02, 0x05, -1, 0x03, 0x000e, 0x0066 }, { 0x02, 0x06, -1, 0x03, 0x000e, 0x0086 }, { 0x02, 0x07, -1, 0x03, 0x000e, 0x00c6 }, { 0x02, 0x08, -1, 0x03, 0x000e, 0x0146 }, { 0x02, 0x09, -1, 0x03, 0x000e, 0x0246 }, { 0x02, 0x0a, -1, 0x03, 0x000e, 0x0446 }, { 0x02, 0x18, -1, 0x03, 0x000e, 0x0846 }, { 0x03, 0x05, -1, 0x03, 0x0012, 0x0046 }, { 0x03, 0x05, -1, 0x03, 0x0012, 0x0066 }, { 0x03, 0x06, -1, 0x03, 0x0012, 0x0086 }, { 0x03, 0x07, -1, 0x03, 0x0012, 0x00c6 }, { 0x03, 0x08, -1, 0x03, 0x0012, 0x0146 }, { 0x03, 0x09, -1, 0x03, 0x0012, 0x0246 }, { 0x03, 0x0a, -1, 0x03, 0x0012, 0x0446 }, { 0x03, 0x18, -1, 0x03, 0x0012, 0x0846 }, { 0x03, 0x05, -1, 0x03, 0x001a, 0x0046 }, { 0x03, 0x05, -1, 0x03, 0x001a, 0x0066 }, { 0x03, 0x06, -1, 0x03, 0x001a, 0x0086 }, { 0x03, 0x07, -1, 0x03, 0x001a, 0x00c6 }, { 0x03, 0x08, -1, 0x03, 0x001a, 0x0146 }, { 0x03, 0x09, -1, 0x03, 0x001a, 0x0246 }, { 0x03, 0x0a, -1, 0x03, 0x001a, 0x0446 }, { 0x03, 0x18, -1, 0x03, 0x001a, 0x0846 }, { 0x04, 0x05, -1, 0x03, 0x0022, 0x0046 }, { 0x04, 0x05, -1, 0x03, 0x0022, 0x0066 }, { 0x04, 0x06, -1, 0x03, 0x0022, 0x0086 }, { 0x04, 0x07, -1, 0x03, 0x0022, 0x00c6 }, { 0x04, 0x08, -1, 0x03, 0x0022, 0x0146 }, { 0x04, 0x09, -1, 0x03, 0x0022, 0x0246 }, { 0x04, 0x0a, -1, 0x03, 0x0022, 0x0446 }, { 0x04, 0x18, -1, 0x03, 0x0022, 0x0846 }, { 0x04, 0x05, -1, 0x03, 0x0032, 0x0046 }, { 0x04, 0x05, -1, 0x03, 0x0032, 0x0066 }, { 0x04, 0x06, -1, 0x03, 0x0032, 0x0086 }, { 0x04, 0x07, -1, 0x03, 0x0032, 0x00c6 }, { 0x04, 0x08, -1, 0x03, 0x0032, 0x0146 }, { 0x04, 0x09, -1, 0x03, 0x0032, 0x0246 }, { 0x04, 0x0a, -1, 0x03, 0x0032, 0x0446 }, { 0x04, 0x18, -1, 0x03, 0x0032, 0x0846 }, { 0x05, 0x05, -1, 0x03, 0x0042, 0x0046 }, { 0x05, 0x05, -1, 0x03, 0x0042, 0x0066 }, { 0x05, 0x06, -1, 0x03, 0x0042, 0x0086 }, { 0x05, 0x07, -1, 0x03, 0x0042, 0x00c6 }, { 0x05, 0x08, -1, 0x03, 0x0042, 0x0146 }, { 0x05, 0x09, -1, 0x03, 0x0042, 0x0246 }, { 0x05, 0x0a, -1, 0x03, 0x0042, 0x0446 }, { 0x05, 0x18, -1, 0x03, 0x0042, 0x0846 }, { 0x05, 0x05, -1, 0x03, 0x0062, 0x0046 }, { 0x05, 0x05, -1, 0x03, 0x0062, 0x0066 }, { 0x05, 0x06, -1, 0x03, 0x0062, 0x0086 }, { 0x05, 0x07, -1, 0x03, 0x0062, 0x00c6 }, { 0x05, 0x08, -1, 0x03, 0x0062, 0x0146 }, { 0x05, 0x09, -1, 0x03, 0x0062, 0x0246 }, { 0x05, 0x0a, -1, 0x03, 0x0062, 0x0446 }, { 0x05, 0x18, -1, 0x03, 0x0062, 0x0846 }, { 0x06, 0x01, -1, 0x03, 0x0082, 0x000a }, { 0x06, 0x01, -1, 0x03, 0x0082, 0x000c }, { 0x06, 0x02, -1, 0x03, 0x0082, 0x000e }, { 0x06, 0x02, -1, 0x03, 0x0082, 0x0012 }, { 0x06, 0x03, -1, 0x03, 0x0082, 0x0016 }, { 0x06, 0x03, -1, 0x03, 0x0082, 0x001e }, { 0x06, 0x04, -1, 0x03, 0x0082, 0x0026 }, { 0x06, 0x04, -1, 0x03, 0x0082, 0x0036 }, { 0x07, 0x01, -1, 0x03, 0x00c2, 0x000a }, { 0x07, 0x01, -1, 0x03, 0x00c2, 0x000c }, { 0x07, 0x02, -1, 0x03, 0x00c2, 0x000e }, { 0x07, 0x02, -1, 0x03, 0x00c2, 0x0012 }, { 0x07, 0x03, -1, 0x03, 0x00c2, 0x0016 }, { 0x07, 0x03, -1, 0x03, 0x00c2, 0x001e }, { 0x07, 0x04, -1, 0x03, 0x00c2, 0x0026 }, { 0x07, 0x04, -1, 0x03, 0x00c2, 0x0036 }, { 0x08, 0x01, -1, 0x03, 0x0142, 0x000a }, { 0x08, 0x01, -1, 0x03, 0x0142, 0x000c }, { 0x08, 0x02, -1, 0x03, 0x0142, 0x000e }, { 0x08, 0x02, -1, 0x03, 0x0142, 0x0012 }, { 0x08, 0x03, -1, 0x03, 0x0142, 0x0016 }, { 0x08, 0x03, -1, 0x03, 0x0142, 0x001e }, { 0x08, 0x04, -1, 0x03, 0x0142, 0x0026 }, { 0x08, 0x04, -1, 0x03, 0x0142, 0x0036 }, { 0x09, 0x01, -1, 0x03, 0x0242, 0x000a }, { 0x09, 0x01, -1, 0x03, 0x0242, 0x000c }, { 0x09, 0x02, -1, 0x03, 0x0242, 0x000e }, { 0x09, 0x02, -1, 0x03, 0x0242, 0x0012 }, { 0x09, 0x03, -1, 0x03, 0x0242, 0x0016 }, { 0x09, 0x03, -1, 0x03, 0x0242, 0x001e }, { 0x09, 0x04, -1, 0x03, 0x0242, 0x0026 }, { 0x09, 0x04, -1, 0x03, 0x0242, 0x0036 }, { 0x0a, 0x01, -1, 0x03, 0x0442, 0x000a }, { 0x0a, 0x01, -1, 0x03, 0x0442, 0x000c }, { 0x0a, 0x02, -1, 0x03, 0x0442, 0x000e }, { 0x0a, 0x02, -1, 0x03, 0x0442, 0x0012 }, { 0x0a, 0x03, -1, 0x03, 0x0442, 0x0016 }, { 0x0a, 0x03, -1, 0x03, 0x0442, 0x001e }, { 0x0a, 0x04, -1, 0x03, 0x0442, 0x0026 }, { 0x0a, 0x04, -1, 0x03, 0x0442, 0x0036 }, { 0x0c, 0x01, -1, 0x03, 0x0842, 0x000a }, { 0x0c, 0x01, -1, 0x03, 0x0842, 0x000c }, { 0x0c, 0x02, -1, 0x03, 0x0842, 0x000e }, { 0x0c, 0x02, -1, 0x03, 0x0842, 0x0012 }, { 0x0c, 0x03, -1, 0x03, 0x0842, 0x0016 }, { 0x0c, 0x03, -1, 0x03, 0x0842, 0x001e }, { 0x0c, 0x04, -1, 0x03, 0x0842, 0x0026 }, { 0x0c, 0x04, -1, 0x03, 0x0842, 0x0036 }, { 0x0e, 0x01, -1, 0x03, 0x1842, 0x000a }, { 0x0e, 0x01, -1, 0x03, 0x1842, 0x000c }, { 0x0e, 0x02, -1, 0x03, 0x1842, 0x000e }, { 0x0e, 0x02, -1, 0x03, 0x1842, 0x0012 }, { 0x0e, 0x03, -1, 0x03, 0x1842, 0x0016 }, { 0x0e, 0x03, -1, 0x03, 0x1842, 0x001e }, { 0x0e, 0x04, -1, 0x03, 0x1842, 0x0026 }, { 0x0e, 0x04, -1, 0x03, 0x1842, 0x0036 }, { 0x18, 0x01, -1, 0x03, 0x5842, 0x000a }, { 0x18, 0x01, -1, 0x03, 0x5842, 0x000c }, { 0x18, 0x02, -1, 0x03, 0x5842, 0x000e }, { 0x18, 0x02, -1, 0x03, 0x5842, 0x0012 }, { 0x18, 0x03, -1, 0x03, 0x5842, 0x0016 }, { 0x18, 0x03, -1, 0x03, 0x5842, 0x001e }, { 0x18, 0x04, -1, 0x03, 0x5842, 0x0026 }, { 0x18, 0x04, -1, 0x03, 0x5842, 0x0036 }, { 0x06, 0x05, -1, 0x03, 0x0082, 0x0046 }, { 0x06, 0x05, -1, 0x03, 0x0082, 0x0066 }, { 0x06, 0x06, -1, 0x03, 0x0082, 0x0086 }, { 0x06, 0x07, -1, 0x03, 0x0082, 0x00c6 }, { 0x06, 0x08, -1, 0x03, 0x0082, 0x0146 }, { 0x06, 0x09, -1, 0x03, 0x0082, 0x0246 }, { 0x06, 0x0a, -1, 0x03, 0x0082, 0x0446 }, { 0x06, 0x18, -1, 0x03, 0x0082, 0x0846 }, { 0x07, 0x05, -1, 0x03, 0x00c2, 0x0046 }, { 0x07, 0x05, -1, 0x03, 0x00c2, 0x0066 }, { 0x07, 0x06, -1, 0x03, 0x00c2, 0x0086 }, { 0x07, 0x07, -1, 0x03, 0x00c2, 0x00c6 }, { 0x07, 0x08, -1, 0x03, 0x00c2, 0x0146 }, { 0x07, 0x09, -1, 0x03, 0x00c2, 0x0246 }, { 0x07, 0x0a, -1, 0x03, 0x00c2, 0x0446 }, { 0x07, 0x18, -1, 0x03, 0x00c2, 0x0846 }, { 0x08, 0x05, -1, 0x03, 0x0142, 0x0046 }, { 0x08, 0x05, -1, 0x03, 0x0142, 0x0066 }, { 0x08, 0x06, -1, 0x03, 0x0142, 0x0086 }, { 0x08, 0x07, -1, 0x03, 0x0142, 0x00c6 }, { 0x08, 0x08, -1, 0x03, 0x0142, 0x0146 }, { 0x08, 0x09, -1, 0x03, 0x0142, 0x0246 }, { 0x08, 0x0a, -1, 0x03, 0x0142, 0x0446 }, { 0x08, 0x18, -1, 0x03, 0x0142, 0x0846 }, { 0x09, 0x05, -1, 0x03, 0x0242, 0x0046 }, { 0x09, 0x05, -1, 0x03, 0x0242, 0x0066 }, { 0x09, 0x06, -1, 0x03, 0x0242, 0x0086 }, { 0x09, 0x07, -1, 0x03, 0x0242, 0x00c6 }, { 0x09, 0x08, -1, 0x03, 0x0242, 0x0146 }, { 0x09, 0x09, -1, 0x03, 0x0242, 0x0246 }, { 0x09, 0x0a, -1, 0x03, 0x0242, 0x0446 }, { 0x09, 0x18, -1, 0x03, 0x0242, 0x0846 }, { 0x0a, 0x05, -1, 0x03, 0x0442, 0x0046 }, { 0x0a, 0x05, -1, 0x03, 0x0442, 0x0066 }, { 0x0a, 0x06, -1, 0x03, 0x0442, 0x0086 }, { 0x0a, 0x07, -1, 0x03, 0x0442, 0x00c6 }, { 0x0a, 0x08, -1, 0x03, 0x0442, 0x0146 }, { 0x0a, 0x09, -1, 0x03, 0x0442, 0x0246 }, { 0x0a, 0x0a, -1, 0x03, 0x0442, 0x0446 }, { 0x0a, 0x18, -1, 0x03, 0x0442, 0x0846 }, { 0x0c, 0x05, -1, 0x03, 0x0842, 0x0046 }, { 0x0c, 0x05, -1, 0x03, 0x0842, 0x0066 }, { 0x0c, 0x06, -1, 0x03, 0x0842, 0x0086 }, { 0x0c, 0x07, -1, 0x03, 0x0842, 0x00c6 }, { 0x0c, 0x08, -1, 0x03, 0x0842, 0x0146 }, { 0x0c, 0x09, -1, 0x03, 0x0842, 0x0246 }, { 0x0c, 0x0a, -1, 0x03, 0x0842, 0x0446 }, { 0x0c, 0x18, -1, 0x03, 0x0842, 0x0846 }, { 0x0e, 0x05, -1, 0x03, 0x1842, 0x0046 }, { 0x0e, 0x05, -1, 0x03, 0x1842, 0x0066 }, { 0x0e, 0x06, -1, 0x03, 0x1842, 0x0086 }, { 0x0e, 0x07, -1, 0x03, 0x1842, 0x00c6 }, { 0x0e, 0x08, -1, 0x03, 0x1842, 0x0146 }, { 0x0e, 0x09, -1, 0x03, 0x1842, 0x0246 }, { 0x0e, 0x0a, -1, 0x03, 0x1842, 0x0446 }, { 0x0e, 0x18, -1, 0x03, 0x1842, 0x0846 }, { 0x18, 0x05, -1, 0x03, 0x5842, 0x0046 }, { 0x18, 0x05, -1, 0x03, 0x5842, 0x0066 }, { 0x18, 0x06, -1, 0x03, 0x5842, 0x0086 }, { 0x18, 0x07, -1, 0x03, 0x5842, 0x00c6 }, { 0x18, 0x08, -1, 0x03, 0x5842, 0x0146 }, { 0x18, 0x09, -1, 0x03, 0x5842, 0x0246 }, { 0x18, 0x0a, -1, 0x03, 0x5842, 0x0446 }, { 0x18, 0x18, -1, 0x03, 0x5842, 0x0846 }, }; #endif /* BROTLI_DEC_PREFIX_H_ */ IO-Compress-Brotli-0.019/brotli/c/dec/bit_reader.h0000644000175000017500000003500614606651213017751 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Bit reading helpers */ #ifndef BROTLI_DEC_BIT_READER_H_ #define BROTLI_DEC_BIT_READER_H_ #include /* memcpy */ #include #include "../common/constants.h" #include "../common/platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #define BROTLI_SHORT_FILL_BIT_WINDOW_READ (sizeof(brotli_reg_t) >> 1) /* 162 bits + 7 bytes */ #define BROTLI_FAST_INPUT_SLACK 28 BROTLI_INTERNAL extern const brotli_reg_t kBrotliBitMask[33]; static BROTLI_INLINE brotli_reg_t BitMask(brotli_reg_t n) { if (BROTLI_IS_CONSTANT(n) || BROTLI_HAS_UBFX) { /* Masking with this expression turns to a single "Unsigned Bit Field Extract" UBFX instruction on ARM. */ return ~(~((brotli_reg_t)0) << n); } else { return kBrotliBitMask[n]; } } typedef struct { brotli_reg_t val_; /* pre-fetched bits */ brotli_reg_t bit_pos_; /* current bit-reading position in val_ */ const uint8_t* next_in; /* the byte we're reading from */ const uint8_t* guard_in; /* position from which "fast-path" is prohibited */ const uint8_t* last_in; /* == next_in + avail_in */ } BrotliBitReader; typedef struct { brotli_reg_t val_; brotli_reg_t bit_pos_; const uint8_t* next_in; size_t avail_in; } BrotliBitReaderState; /* Initializes the BrotliBitReader fields. */ BROTLI_INTERNAL void BrotliInitBitReader(BrotliBitReader* br); /* Ensures that accumulator is not empty. May consume up to sizeof(brotli_reg_t) - 1 bytes of input. Returns BROTLI_FALSE if data is required but there is no input available. For !BROTLI_UNALIGNED_READ_FAST this function also prepares bit reader for aligned reading. */ BROTLI_INTERNAL BROTLI_BOOL BrotliWarmupBitReader(BrotliBitReader* br); /* Fallback for BrotliSafeReadBits32. Extracted as noninlined method to unburden the main code-path. Never called for RFC brotli streams, required only for "large-window" mode and other extensions. */ BROTLI_INTERNAL BROTLI_NOINLINE BROTLI_BOOL BrotliSafeReadBits32Slow( BrotliBitReader* br, brotli_reg_t n_bits, brotli_reg_t* val); static BROTLI_INLINE size_t BrotliBitReaderGetAvailIn(BrotliBitReader* const br) { return (size_t)(br->last_in - br->next_in); } static BROTLI_INLINE void BrotliBitReaderSaveState( BrotliBitReader* const from, BrotliBitReaderState* to) { to->val_ = from->val_; to->bit_pos_ = from->bit_pos_; to->next_in = from->next_in; to->avail_in = BrotliBitReaderGetAvailIn(from); } static BROTLI_INLINE void BrotliBitReaderSetInput( BrotliBitReader* const br, const uint8_t* next_in, size_t avail_in) { br->next_in = next_in; br->last_in = (avail_in == 0) ? next_in : (next_in + avail_in); if (avail_in + 1 > BROTLI_FAST_INPUT_SLACK) { br->guard_in = next_in + (avail_in + 1 - BROTLI_FAST_INPUT_SLACK); } else { br->guard_in = next_in; } } static BROTLI_INLINE void BrotliBitReaderRestoreState( BrotliBitReader* const to, BrotliBitReaderState* from) { to->val_ = from->val_; to->bit_pos_ = from->bit_pos_; to->next_in = from->next_in; BrotliBitReaderSetInput(to, from->next_in, from->avail_in); } static BROTLI_INLINE brotli_reg_t BrotliGetAvailableBits( const BrotliBitReader* br) { return br->bit_pos_; } /* Returns amount of unread bytes the bit reader still has buffered from the BrotliInput, including whole bytes in br->val_. Result is capped with maximal ring-buffer size (larger number won't be utilized anyway). */ static BROTLI_INLINE size_t BrotliGetRemainingBytes(BrotliBitReader* br) { static const size_t kCap = (size_t)1 << BROTLI_LARGE_MAX_WBITS; size_t avail_in = BrotliBitReaderGetAvailIn(br); if (avail_in > kCap) return kCap; return avail_in + (BrotliGetAvailableBits(br) >> 3); } /* Checks if there is at least |num| bytes left in the input ring-buffer (excluding the bits remaining in br->val_). */ static BROTLI_INLINE BROTLI_BOOL BrotliCheckInputAmount( BrotliBitReader* const br) { return TO_BROTLI_BOOL(br->next_in < br->guard_in); } /* Load more bits into accumulator. */ static BROTLI_INLINE brotli_reg_t BrotliBitReaderLoadBits(brotli_reg_t val, brotli_reg_t new_bits, brotli_reg_t count, brotli_reg_t offset) { BROTLI_DCHECK( !((val >> offset) & ~new_bits & ~(~((brotli_reg_t)0) << count))); (void)count; return val | (new_bits << offset); } /* Guarantees that there are at least |n_bits| + 1 bits in accumulator. Precondition: accumulator contains at least 1 bit. |n_bits| should be in the range [1..24] for regular build. For portable non-64-bit little-endian build only 16 bits are safe to request. */ static BROTLI_INLINE void BrotliFillBitWindow( BrotliBitReader* const br, brotli_reg_t n_bits) { #if (BROTLI_64_BITS) if (BROTLI_UNALIGNED_READ_FAST && BROTLI_IS_CONSTANT(n_bits) && (n_bits <= 8)) { brotli_reg_t bit_pos = br->bit_pos_; if (bit_pos <= 8) { br->val_ = BrotliBitReaderLoadBits(br->val_, BROTLI_UNALIGNED_LOAD64LE(br->next_in), 56, bit_pos); br->bit_pos_ = bit_pos + 56; br->next_in += 7; } } else if (BROTLI_UNALIGNED_READ_FAST && BROTLI_IS_CONSTANT(n_bits) && (n_bits <= 16)) { brotli_reg_t bit_pos = br->bit_pos_; if (bit_pos <= 16) { br->val_ = BrotliBitReaderLoadBits(br->val_, BROTLI_UNALIGNED_LOAD64LE(br->next_in), 48, bit_pos); br->bit_pos_ = bit_pos + 48; br->next_in += 6; } } else { brotli_reg_t bit_pos = br->bit_pos_; if (bit_pos <= 32) { br->val_ = BrotliBitReaderLoadBits(br->val_, (uint64_t)BROTLI_UNALIGNED_LOAD32LE(br->next_in), 32, bit_pos); br->bit_pos_ = bit_pos + 32; br->next_in += BROTLI_SHORT_FILL_BIT_WINDOW_READ; } } #else if (BROTLI_UNALIGNED_READ_FAST && BROTLI_IS_CONSTANT(n_bits) && (n_bits <= 8)) { brotli_reg_t bit_pos = br->bit_pos_; if (bit_pos <= 8) { br->val_ = BrotliBitReaderLoadBits(br->val_, BROTLI_UNALIGNED_LOAD32LE(br->next_in), 24, bit_pos); br->bit_pos_ = bit_pos + 24; br->next_in += 3; } } else { brotli_reg_t bit_pos = br->bit_pos_; if (bit_pos <= 16) { br->val_ = BrotliBitReaderLoadBits(br->val_, (uint32_t)BROTLI_UNALIGNED_LOAD16LE(br->next_in), 16, bit_pos); br->bit_pos_ = bit_pos + 16; br->next_in += BROTLI_SHORT_FILL_BIT_WINDOW_READ; } } #endif } /* Mostly like BrotliFillBitWindow, but guarantees only 16 bits and reads no more than BROTLI_SHORT_FILL_BIT_WINDOW_READ bytes of input. */ static BROTLI_INLINE void BrotliFillBitWindow16(BrotliBitReader* const br) { BrotliFillBitWindow(br, 17); } /* Tries to pull one byte of input to accumulator. Returns BROTLI_FALSE if there is no input available. */ static BROTLI_INLINE BROTLI_BOOL BrotliPullByte(BrotliBitReader* const br) { if (br->next_in == br->last_in) { return BROTLI_FALSE; } br->val_ = BrotliBitReaderLoadBits(br->val_, (brotli_reg_t)*br->next_in, 8, br->bit_pos_); br->bit_pos_ += 8; ++br->next_in; return BROTLI_TRUE; } /* Returns currently available bits. The number of valid bits could be calculated by BrotliGetAvailableBits. */ static BROTLI_INLINE brotli_reg_t BrotliGetBitsUnmasked( BrotliBitReader* const br) { return br->val_; } /* Like BrotliGetBits, but does not mask the result. The result contains at least 16 valid bits. */ static BROTLI_INLINE brotli_reg_t BrotliGet16BitsUnmasked( BrotliBitReader* const br) { BrotliFillBitWindow(br, 16); return (brotli_reg_t)BrotliGetBitsUnmasked(br); } /* Returns the specified number of bits from |br| without advancing bit position. */ static BROTLI_INLINE brotli_reg_t BrotliGetBits( BrotliBitReader* const br, brotli_reg_t n_bits) { BrotliFillBitWindow(br, n_bits); return BrotliGetBitsUnmasked(br) & BitMask(n_bits); } /* Tries to peek the specified amount of bits. Returns BROTLI_FALSE, if there is not enough input. */ static BROTLI_INLINE BROTLI_BOOL BrotliSafeGetBits( BrotliBitReader* const br, brotli_reg_t n_bits, brotli_reg_t* val) { while (BrotliGetAvailableBits(br) < n_bits) { if (!BrotliPullByte(br)) { return BROTLI_FALSE; } } *val = BrotliGetBitsUnmasked(br) & BitMask(n_bits); return BROTLI_TRUE; } /* Advances the bit pos by |n_bits|. */ static BROTLI_INLINE void BrotliDropBits( BrotliBitReader* const br, brotli_reg_t n_bits) { br->bit_pos_ -= n_bits; br->val_ >>= n_bits; } /* Make sure that there are no spectre bits in accumulator. This is important for the cases when some bytes are skipped (i.e. never placed into accumulator). */ static BROTLI_INLINE void BrotliBitReaderNormalize(BrotliBitReader* br) { /* Actually, it is enough to normalize when br->bit_pos_ == 0 */ if (br->bit_pos_ < (sizeof(brotli_reg_t) << 3u)) { br->val_ &= (((brotli_reg_t)1) << br->bit_pos_) - 1; } } static BROTLI_INLINE void BrotliBitReaderUnload(BrotliBitReader* br) { brotli_reg_t unused_bytes = BrotliGetAvailableBits(br) >> 3; brotli_reg_t unused_bits = unused_bytes << 3; br->next_in = (unused_bytes == 0) ? br->next_in : (br->next_in - unused_bytes); br->bit_pos_ -= unused_bits; BrotliBitReaderNormalize(br); } /* Reads the specified number of bits from |br| and advances the bit pos. Precondition: accumulator MUST contain at least |n_bits|. */ static BROTLI_INLINE void BrotliTakeBits(BrotliBitReader* const br, brotli_reg_t n_bits, brotli_reg_t* val) { *val = BrotliGetBitsUnmasked(br) & BitMask(n_bits); BROTLI_LOG(("[BrotliTakeBits] %d %d %d val: %6x\n", (int)BrotliBitReaderGetAvailIn(br), (int)br->bit_pos_, (int)n_bits, (int)*val)); BrotliDropBits(br, n_bits); } /* Reads the specified number of bits from |br| and advances the bit pos. Assumes that there is enough input to perform BrotliFillBitWindow. Up to 24 bits are allowed to be requested from this method. */ static BROTLI_INLINE brotli_reg_t BrotliReadBits24( BrotliBitReader* const br, brotli_reg_t n_bits) { BROTLI_DCHECK(n_bits <= 24); if (BROTLI_64_BITS || (n_bits <= 16)) { brotli_reg_t val; BrotliFillBitWindow(br, n_bits); BrotliTakeBits(br, n_bits, &val); return val; } else { brotli_reg_t low_val; brotli_reg_t high_val; BrotliFillBitWindow(br, 16); BrotliTakeBits(br, 16, &low_val); BrotliFillBitWindow(br, 8); BrotliTakeBits(br, n_bits - 16, &high_val); return low_val | (high_val << 16); } } /* Same as BrotliReadBits24, but allows reading up to 32 bits. */ static BROTLI_INLINE brotli_reg_t BrotliReadBits32( BrotliBitReader* const br, brotli_reg_t n_bits) { BROTLI_DCHECK(n_bits <= 32); if (BROTLI_64_BITS || (n_bits <= 16)) { brotli_reg_t val; BrotliFillBitWindow(br, n_bits); BrotliTakeBits(br, n_bits, &val); return val; } else { brotli_reg_t low_val; brotli_reg_t high_val; BrotliFillBitWindow(br, 16); BrotliTakeBits(br, 16, &low_val); BrotliFillBitWindow(br, 16); BrotliTakeBits(br, n_bits - 16, &high_val); return low_val | (high_val << 16); } } /* Tries to read the specified amount of bits. Returns BROTLI_FALSE, if there is not enough input. |n_bits| MUST be positive. Up to 24 bits are allowed to be requested from this method. */ static BROTLI_INLINE BROTLI_BOOL BrotliSafeReadBits( BrotliBitReader* const br, brotli_reg_t n_bits, brotli_reg_t* val) { BROTLI_DCHECK(n_bits <= 24); while (BrotliGetAvailableBits(br) < n_bits) { if (!BrotliPullByte(br)) { return BROTLI_FALSE; } } BrotliTakeBits(br, n_bits, val); return BROTLI_TRUE; } /* Same as BrotliSafeReadBits, but allows reading up to 32 bits. */ static BROTLI_INLINE BROTLI_BOOL BrotliSafeReadBits32( BrotliBitReader* const br, brotli_reg_t n_bits, brotli_reg_t* val) { BROTLI_DCHECK(n_bits <= 32); if (BROTLI_64_BITS || (n_bits <= 24)) { while (BrotliGetAvailableBits(br) < n_bits) { if (!BrotliPullByte(br)) { return BROTLI_FALSE; } } BrotliTakeBits(br, n_bits, val); return BROTLI_TRUE; } else { return BrotliSafeReadBits32Slow(br, n_bits, val); } } /* Advances the bit reader position to the next byte boundary and verifies that any skipped bits are set to zero. */ static BROTLI_INLINE BROTLI_BOOL BrotliJumpToByteBoundary(BrotliBitReader* br) { brotli_reg_t pad_bits_count = BrotliGetAvailableBits(br) & 0x7; brotli_reg_t pad_bits = 0; if (pad_bits_count != 0) { BrotliTakeBits(br, pad_bits_count, &pad_bits); } BrotliBitReaderNormalize(br); return TO_BROTLI_BOOL(pad_bits == 0); } static BROTLI_INLINE void BrotliDropBytes(BrotliBitReader* br, size_t num) { /* Check detour is legal: accumulator must to be empty. */ BROTLI_DCHECK(br->bit_pos_ == 0); BROTLI_DCHECK(br->val_ == 0); br->next_in += num; } /* Copies remaining input bytes stored in the bit reader to the output. Value |num| may not be larger than BrotliGetRemainingBytes. The bit reader must be warmed up again after this. */ static BROTLI_INLINE void BrotliCopyBytes(uint8_t* dest, BrotliBitReader* br, size_t num) { while (BrotliGetAvailableBits(br) >= 8 && num > 0) { *dest = (uint8_t)BrotliGetBitsUnmasked(br); BrotliDropBits(br, 8); ++dest; --num; } BrotliBitReaderNormalize(br); if (num > 0) { memcpy(dest, br->next_in, num); BrotliDropBytes(br, num); } } BROTLI_UNUSED_FUNCTION void BrotliBitReaderSuppressUnusedFunctions(void) { BROTLI_UNUSED(&BrotliBitReaderSuppressUnusedFunctions); BROTLI_UNUSED(&BrotliBitReaderGetAvailIn); BROTLI_UNUSED(&BrotliBitReaderLoadBits); BROTLI_UNUSED(&BrotliBitReaderRestoreState); BROTLI_UNUSED(&BrotliBitReaderSaveState); BROTLI_UNUSED(&BrotliBitReaderSetInput); BROTLI_UNUSED(&BrotliBitReaderUnload); BROTLI_UNUSED(&BrotliCheckInputAmount); BROTLI_UNUSED(&BrotliCopyBytes); BROTLI_UNUSED(&BrotliFillBitWindow16); BROTLI_UNUSED(&BrotliGet16BitsUnmasked); BROTLI_UNUSED(&BrotliGetBits); BROTLI_UNUSED(&BrotliGetRemainingBytes); BROTLI_UNUSED(&BrotliJumpToByteBoundary); BROTLI_UNUSED(&BrotliReadBits24); BROTLI_UNUSED(&BrotliReadBits32); BROTLI_UNUSED(&BrotliSafeGetBits); BROTLI_UNUSED(&BrotliSafeReadBits); BROTLI_UNUSED(&BrotliSafeReadBits32); } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_DEC_BIT_READER_H_ */ IO-Compress-Brotli-0.019/brotli/c/dec/huffman.c0000644000175000017500000002733414606651213017275 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Utilities for building Huffman decoding tables. */ #include "huffman.h" #include /* memcpy, memset */ #include #include "../common/constants.h" #include "../common/platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #define BROTLI_REVERSE_BITS_MAX 8 #if defined(BROTLI_RBIT) #define BROTLI_REVERSE_BITS_BASE \ ((sizeof(brotli_reg_t) << 3) - BROTLI_REVERSE_BITS_MAX) #else #define BROTLI_REVERSE_BITS_BASE 0 static uint8_t kReverseBits[1 << BROTLI_REVERSE_BITS_MAX] = { 0x00, 0x80, 0x40, 0xC0, 0x20, 0xA0, 0x60, 0xE0, 0x10, 0x90, 0x50, 0xD0, 0x30, 0xB0, 0x70, 0xF0, 0x08, 0x88, 0x48, 0xC8, 0x28, 0xA8, 0x68, 0xE8, 0x18, 0x98, 0x58, 0xD8, 0x38, 0xB8, 0x78, 0xF8, 0x04, 0x84, 0x44, 0xC4, 0x24, 0xA4, 0x64, 0xE4, 0x14, 0x94, 0x54, 0xD4, 0x34, 0xB4, 0x74, 0xF4, 0x0C, 0x8C, 0x4C, 0xCC, 0x2C, 0xAC, 0x6C, 0xEC, 0x1C, 0x9C, 0x5C, 0xDC, 0x3C, 0xBC, 0x7C, 0xFC, 0x02, 0x82, 0x42, 0xC2, 0x22, 0xA2, 0x62, 0xE2, 0x12, 0x92, 0x52, 0xD2, 0x32, 0xB2, 0x72, 0xF2, 0x0A, 0x8A, 0x4A, 0xCA, 0x2A, 0xAA, 0x6A, 0xEA, 0x1A, 0x9A, 0x5A, 0xDA, 0x3A, 0xBA, 0x7A, 0xFA, 0x06, 0x86, 0x46, 0xC6, 0x26, 0xA6, 0x66, 0xE6, 0x16, 0x96, 0x56, 0xD6, 0x36, 0xB6, 0x76, 0xF6, 0x0E, 0x8E, 0x4E, 0xCE, 0x2E, 0xAE, 0x6E, 0xEE, 0x1E, 0x9E, 0x5E, 0xDE, 0x3E, 0xBE, 0x7E, 0xFE, 0x01, 0x81, 0x41, 0xC1, 0x21, 0xA1, 0x61, 0xE1, 0x11, 0x91, 0x51, 0xD1, 0x31, 0xB1, 0x71, 0xF1, 0x09, 0x89, 0x49, 0xC9, 0x29, 0xA9, 0x69, 0xE9, 0x19, 0x99, 0x59, 0xD9, 0x39, 0xB9, 0x79, 0xF9, 0x05, 0x85, 0x45, 0xC5, 0x25, 0xA5, 0x65, 0xE5, 0x15, 0x95, 0x55, 0xD5, 0x35, 0xB5, 0x75, 0xF5, 0x0D, 0x8D, 0x4D, 0xCD, 0x2D, 0xAD, 0x6D, 0xED, 0x1D, 0x9D, 0x5D, 0xDD, 0x3D, 0xBD, 0x7D, 0xFD, 0x03, 0x83, 0x43, 0xC3, 0x23, 0xA3, 0x63, 0xE3, 0x13, 0x93, 0x53, 0xD3, 0x33, 0xB3, 0x73, 0xF3, 0x0B, 0x8B, 0x4B, 0xCB, 0x2B, 0xAB, 0x6B, 0xEB, 0x1B, 0x9B, 0x5B, 0xDB, 0x3B, 0xBB, 0x7B, 0xFB, 0x07, 0x87, 0x47, 0xC7, 0x27, 0xA7, 0x67, 0xE7, 0x17, 0x97, 0x57, 0xD7, 0x37, 0xB7, 0x77, 0xF7, 0x0F, 0x8F, 0x4F, 0xCF, 0x2F, 0xAF, 0x6F, 0xEF, 0x1F, 0x9F, 0x5F, 0xDF, 0x3F, 0xBF, 0x7F, 0xFF }; #endif /* BROTLI_RBIT */ #define BROTLI_REVERSE_BITS_LOWEST \ ((brotli_reg_t)1 << (BROTLI_REVERSE_BITS_MAX - 1 + BROTLI_REVERSE_BITS_BASE)) /* Returns reverse(num >> BROTLI_REVERSE_BITS_BASE, BROTLI_REVERSE_BITS_MAX), where reverse(value, len) is the bit-wise reversal of the len least significant bits of value. */ static BROTLI_INLINE brotli_reg_t BrotliReverseBits(brotli_reg_t num) { #if defined(BROTLI_RBIT) return BROTLI_RBIT(num); #else return kReverseBits[num]; #endif } /* Stores code in table[0], table[step], table[2*step], ..., table[end] */ /* Assumes that end is an integer multiple of step */ static BROTLI_INLINE void ReplicateValue(HuffmanCode* table, int step, int end, HuffmanCode code) { do { end -= step; table[end] = code; } while (end > 0); } /* Returns the table width of the next 2nd level table. |count| is the histogram of bit lengths for the remaining symbols, |len| is the code length of the next processed symbol. */ static BROTLI_INLINE int NextTableBitSize(const uint16_t* const count, int len, int root_bits) { int left = 1 << (len - root_bits); while (len < BROTLI_HUFFMAN_MAX_CODE_LENGTH) { left -= count[len]; if (left <= 0) break; ++len; left <<= 1; } return len - root_bits; } void BrotliBuildCodeLengthsHuffmanTable(HuffmanCode* table, const uint8_t* const code_lengths, uint16_t* count) { HuffmanCode code; /* current table entry */ int symbol; /* symbol index in original or sorted table */ brotli_reg_t key; /* prefix code */ brotli_reg_t key_step; /* prefix code addend */ int step; /* step size to replicate values in current table */ int table_size; /* size of current table */ int sorted[BROTLI_CODE_LENGTH_CODES]; /* symbols sorted by code length */ /* offsets in sorted table for each length */ int offset[BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH + 1]; int bits; int bits_count; BROTLI_DCHECK(BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH <= BROTLI_REVERSE_BITS_MAX); BROTLI_DCHECK(BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH == 5); /* Generate offsets into sorted symbol table by code length. */ symbol = -1; bits = 1; /* BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH == 5 */ BROTLI_REPEAT_5({ symbol += count[bits]; offset[bits] = symbol; bits++; }); /* Symbols with code length 0 are placed after all other symbols. */ offset[0] = BROTLI_CODE_LENGTH_CODES - 1; /* Sort symbols by length, by symbol order within each length. */ symbol = BROTLI_CODE_LENGTH_CODES; do { BROTLI_REPEAT_6({ symbol--; sorted[offset[code_lengths[symbol]]--] = symbol; }); } while (symbol != 0); table_size = 1 << BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH; /* Special case: all symbols but one have 0 code length. */ if (offset[0] == 0) { code = ConstructHuffmanCode(0, (uint16_t)sorted[0]); for (key = 0; key < (brotli_reg_t)table_size; ++key) { table[key] = code; } return; } /* Fill in table. */ key = 0; key_step = BROTLI_REVERSE_BITS_LOWEST; symbol = 0; bits = 1; step = 2; do { for (bits_count = count[bits]; bits_count != 0; --bits_count) { code = ConstructHuffmanCode((uint8_t)bits, (uint16_t)sorted[symbol++]); ReplicateValue(&table[BrotliReverseBits(key)], step, table_size, code); key += key_step; } step <<= 1; key_step >>= 1; } while (++bits <= BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH); } uint32_t BrotliBuildHuffmanTable(HuffmanCode* root_table, int root_bits, const uint16_t* const symbol_lists, uint16_t* count) { HuffmanCode code; /* current table entry */ HuffmanCode* table; /* next available space in table */ int len; /* current code length */ int symbol; /* symbol index in original or sorted table */ brotli_reg_t key; /* prefix code */ brotli_reg_t key_step; /* prefix code addend */ brotli_reg_t sub_key; /* 2nd level table prefix code */ brotli_reg_t sub_key_step; /* 2nd level table prefix code addend */ int step; /* step size to replicate values in current table */ int table_bits; /* key length of current table */ int table_size; /* size of current table */ int total_size; /* sum of root table size and 2nd level table sizes */ int max_length = -1; int bits; int bits_count; BROTLI_DCHECK(root_bits <= BROTLI_REVERSE_BITS_MAX); BROTLI_DCHECK(BROTLI_HUFFMAN_MAX_CODE_LENGTH - root_bits <= BROTLI_REVERSE_BITS_MAX); while (symbol_lists[max_length] == 0xFFFF) max_length--; max_length += BROTLI_HUFFMAN_MAX_CODE_LENGTH + 1; table = root_table; table_bits = root_bits; table_size = 1 << table_bits; total_size = table_size; /* Fill in the root table. Reduce the table size to if possible, and create the repetitions by memcpy. */ if (table_bits > max_length) { table_bits = max_length; table_size = 1 << table_bits; } key = 0; key_step = BROTLI_REVERSE_BITS_LOWEST; bits = 1; step = 2; do { symbol = bits - (BROTLI_HUFFMAN_MAX_CODE_LENGTH + 1); for (bits_count = count[bits]; bits_count != 0; --bits_count) { symbol = symbol_lists[symbol]; code = ConstructHuffmanCode((uint8_t)bits, (uint16_t)symbol); ReplicateValue(&table[BrotliReverseBits(key)], step, table_size, code); key += key_step; } step <<= 1; key_step >>= 1; } while (++bits <= table_bits); /* If root_bits != table_bits then replicate to fill the remaining slots. */ while (total_size != table_size) { memcpy(&table[table_size], &table[0], (size_t)table_size * sizeof(table[0])); table_size <<= 1; } /* Fill in 2nd level tables and add pointers to root table. */ key_step = BROTLI_REVERSE_BITS_LOWEST >> (root_bits - 1); sub_key = (BROTLI_REVERSE_BITS_LOWEST << 1); sub_key_step = BROTLI_REVERSE_BITS_LOWEST; for (len = root_bits + 1, step = 2; len <= max_length; ++len) { symbol = len - (BROTLI_HUFFMAN_MAX_CODE_LENGTH + 1); for (; count[len] != 0; --count[len]) { if (sub_key == (BROTLI_REVERSE_BITS_LOWEST << 1U)) { table += table_size; table_bits = NextTableBitSize(count, len, root_bits); table_size = 1 << table_bits; total_size += table_size; sub_key = BrotliReverseBits(key); key += key_step; root_table[sub_key] = ConstructHuffmanCode( (uint8_t)(table_bits + root_bits), (uint16_t)(((size_t)(table - root_table)) - sub_key)); sub_key = 0; } symbol = symbol_lists[symbol]; code = ConstructHuffmanCode((uint8_t)(len - root_bits), (uint16_t)symbol); ReplicateValue( &table[BrotliReverseBits(sub_key)], step, table_size, code); sub_key += sub_key_step; } step <<= 1; sub_key_step >>= 1; } return (uint32_t)total_size; } uint32_t BrotliBuildSimpleHuffmanTable(HuffmanCode* table, int root_bits, uint16_t* val, uint32_t num_symbols) { uint32_t table_size = 1; const uint32_t goal_size = 1U << root_bits; switch (num_symbols) { case 0: table[0] = ConstructHuffmanCode(0, val[0]); break; case 1: if (val[1] > val[0]) { table[0] = ConstructHuffmanCode(1, val[0]); table[1] = ConstructHuffmanCode(1, val[1]); } else { table[0] = ConstructHuffmanCode(1, val[1]); table[1] = ConstructHuffmanCode(1, val[0]); } table_size = 2; break; case 2: table[0] = ConstructHuffmanCode(1, val[0]); table[2] = ConstructHuffmanCode(1, val[0]); if (val[2] > val[1]) { table[1] = ConstructHuffmanCode(2, val[1]); table[3] = ConstructHuffmanCode(2, val[2]); } else { table[1] = ConstructHuffmanCode(2, val[2]); table[3] = ConstructHuffmanCode(2, val[1]); } table_size = 4; break; case 3: { int i, k; for (i = 0; i < 3; ++i) { for (k = i + 1; k < 4; ++k) { if (val[k] < val[i]) { uint16_t t = val[k]; val[k] = val[i]; val[i] = t; } } } table[0] = ConstructHuffmanCode(2, val[0]); table[2] = ConstructHuffmanCode(2, val[1]); table[1] = ConstructHuffmanCode(2, val[2]); table[3] = ConstructHuffmanCode(2, val[3]); table_size = 4; break; } case 4: { if (val[3] < val[2]) { uint16_t t = val[3]; val[3] = val[2]; val[2] = t; } table[0] = ConstructHuffmanCode(1, val[0]); table[1] = ConstructHuffmanCode(2, val[1]); table[2] = ConstructHuffmanCode(1, val[0]); table[3] = ConstructHuffmanCode(3, val[2]); table[4] = ConstructHuffmanCode(1, val[0]); table[5] = ConstructHuffmanCode(2, val[1]); table[6] = ConstructHuffmanCode(1, val[0]); table[7] = ConstructHuffmanCode(3, val[3]); table_size = 8; break; } } while (table_size != goal_size) { memcpy(&table[table_size], &table[0], (size_t)table_size * sizeof(table[0])); table_size <<= 1; } return goal_size; } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/dec/decode.c0000644000175000017500000031306714606651213017075 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ #include #include /* free, malloc */ #include /* memcpy, memset */ #include "../common/constants.h" #include "../common/context.h" #include "../common/dictionary.h" #include "../common/platform.h" #include "../common/shared_dictionary_internal.h" #include "../common/transform.h" #include "../common/version.h" #include "bit_reader.h" #include "huffman.h" #include "prefix.h" #include "state.h" #if defined(BROTLI_TARGET_NEON) #include #endif #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #define BROTLI_FAILURE(CODE) (BROTLI_DUMP(), CODE) #define BROTLI_LOG_UINT(name) \ BROTLI_LOG(("[%s] %s = %lu\n", __func__, #name, (unsigned long)(name))) #define BROTLI_LOG_ARRAY_INDEX(array_name, idx) \ BROTLI_LOG(("[%s] %s[%lu] = %lu\n", __func__, #array_name, \ (unsigned long)(idx), (unsigned long)array_name[idx])) #define HUFFMAN_TABLE_BITS 8U #define HUFFMAN_TABLE_MASK 0xFF /* We need the slack region for the following reasons: - doing up to two 16-byte copies for fast backward copying - inserting transformed dictionary word: 255 prefix + 32 base + 255 suffix */ static const brotli_reg_t kRingBufferWriteAheadSlack = 542; static const uint8_t kCodeLengthCodeOrder[BROTLI_CODE_LENGTH_CODES] = { 1, 2, 3, 4, 0, 5, 17, 6, 16, 7, 8, 9, 10, 11, 12, 13, 14, 15, }; /* Static prefix code for the complex code length code lengths. */ static const uint8_t kCodeLengthPrefixLength[16] = { 2, 2, 2, 3, 2, 2, 2, 4, 2, 2, 2, 3, 2, 2, 2, 4, }; static const uint8_t kCodeLengthPrefixValue[16] = { 0, 4, 3, 2, 0, 4, 3, 1, 0, 4, 3, 2, 0, 4, 3, 5, }; BROTLI_BOOL BrotliDecoderSetParameter( BrotliDecoderState* state, BrotliDecoderParameter p, uint32_t value) { if (state->state != BROTLI_STATE_UNINITED) return BROTLI_FALSE; switch (p) { case BROTLI_DECODER_PARAM_DISABLE_RING_BUFFER_REALLOCATION: state->canny_ringbuffer_allocation = !!value ? 0 : 1; return BROTLI_TRUE; case BROTLI_DECODER_PARAM_LARGE_WINDOW: state->large_window = TO_BROTLI_BOOL(!!value); return BROTLI_TRUE; default: return BROTLI_FALSE; } } BrotliDecoderState* BrotliDecoderCreateInstance( brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque) { BrotliDecoderState* state = 0; if (!alloc_func && !free_func) { state = (BrotliDecoderState*)malloc(sizeof(BrotliDecoderState)); } else if (alloc_func && free_func) { state = (BrotliDecoderState*)alloc_func(opaque, sizeof(BrotliDecoderState)); } if (state == 0) { BROTLI_DUMP(); return 0; } if (!BrotliDecoderStateInit(state, alloc_func, free_func, opaque)) { BROTLI_DUMP(); if (!alloc_func && !free_func) { free(state); } else if (alloc_func && free_func) { free_func(opaque, state); } return 0; } return state; } /* Deinitializes and frees BrotliDecoderState instance. */ void BrotliDecoderDestroyInstance(BrotliDecoderState* state) { if (!state) { return; } else { brotli_free_func free_func = state->free_func; void* opaque = state->memory_manager_opaque; BrotliDecoderStateCleanup(state); free_func(opaque, state); } } /* Saves error code and converts it to BrotliDecoderResult. */ static BROTLI_NOINLINE BrotliDecoderResult SaveErrorCode( BrotliDecoderState* s, BrotliDecoderErrorCode e, size_t consumed_input) { s->error_code = (int)e; s->used_input += consumed_input; if ((s->buffer_length != 0) && (s->br.next_in == s->br.last_in)) { /* If internal buffer is depleted at last, reset it. */ s->buffer_length = 0; } switch (e) { case BROTLI_DECODER_SUCCESS: return BROTLI_DECODER_RESULT_SUCCESS; case BROTLI_DECODER_NEEDS_MORE_INPUT: return BROTLI_DECODER_RESULT_NEEDS_MORE_INPUT; case BROTLI_DECODER_NEEDS_MORE_OUTPUT: return BROTLI_DECODER_RESULT_NEEDS_MORE_OUTPUT; default: return BROTLI_DECODER_RESULT_ERROR; } } /* Decodes WBITS by reading 1 - 7 bits, or 0x11 for "Large Window Brotli". Precondition: bit-reader accumulator has at least 8 bits. */ static BrotliDecoderErrorCode DecodeWindowBits(BrotliDecoderState* s, BrotliBitReader* br) { brotli_reg_t n; BROTLI_BOOL large_window = s->large_window; s->large_window = BROTLI_FALSE; BrotliTakeBits(br, 1, &n); if (n == 0) { s->window_bits = 16; return BROTLI_DECODER_SUCCESS; } BrotliTakeBits(br, 3, &n); if (n != 0) { s->window_bits = (17u + n) & 63u; return BROTLI_DECODER_SUCCESS; } BrotliTakeBits(br, 3, &n); if (n == 1) { if (large_window) { BrotliTakeBits(br, 1, &n); if (n == 1) { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_WINDOW_BITS); } s->large_window = BROTLI_TRUE; return BROTLI_DECODER_SUCCESS; } else { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_WINDOW_BITS); } } if (n != 0) { s->window_bits = (8u + n) & 63u; return BROTLI_DECODER_SUCCESS; } s->window_bits = 17; return BROTLI_DECODER_SUCCESS; } static BROTLI_INLINE void memmove16(uint8_t* dst, uint8_t* src) { #if defined(BROTLI_TARGET_NEON) vst1q_u8(dst, vld1q_u8(src)); #else uint32_t buffer[4]; memcpy(buffer, src, 16); memcpy(dst, buffer, 16); #endif } /* Decodes a number in the range [0..255], by reading 1 - 11 bits. */ static BROTLI_NOINLINE BrotliDecoderErrorCode DecodeVarLenUint8( BrotliDecoderState* s, BrotliBitReader* br, brotli_reg_t* value) { brotli_reg_t bits; switch (s->substate_decode_uint8) { case BROTLI_STATE_DECODE_UINT8_NONE: if (BROTLI_PREDICT_FALSE(!BrotliSafeReadBits(br, 1, &bits))) { return BROTLI_DECODER_NEEDS_MORE_INPUT; } if (bits == 0) { *value = 0; return BROTLI_DECODER_SUCCESS; } /* Fall through. */ case BROTLI_STATE_DECODE_UINT8_SHORT: if (BROTLI_PREDICT_FALSE(!BrotliSafeReadBits(br, 3, &bits))) { s->substate_decode_uint8 = BROTLI_STATE_DECODE_UINT8_SHORT; return BROTLI_DECODER_NEEDS_MORE_INPUT; } if (bits == 0) { *value = 1; s->substate_decode_uint8 = BROTLI_STATE_DECODE_UINT8_NONE; return BROTLI_DECODER_SUCCESS; } /* Use output value as a temporary storage. It MUST be persisted. */ *value = bits; /* Fall through. */ case BROTLI_STATE_DECODE_UINT8_LONG: if (BROTLI_PREDICT_FALSE(!BrotliSafeReadBits(br, *value, &bits))) { s->substate_decode_uint8 = BROTLI_STATE_DECODE_UINT8_LONG; return BROTLI_DECODER_NEEDS_MORE_INPUT; } *value = (1U << *value) + bits; s->substate_decode_uint8 = BROTLI_STATE_DECODE_UINT8_NONE; return BROTLI_DECODER_SUCCESS; default: return BROTLI_FAILURE(BROTLI_DECODER_ERROR_UNREACHABLE); /* COV_NF_LINE */ } } /* Decodes a metablock length and flags by reading 2 - 31 bits. */ static BrotliDecoderErrorCode BROTLI_NOINLINE DecodeMetaBlockLength( BrotliDecoderState* s, BrotliBitReader* br) { brotli_reg_t bits; int i; for (;;) { switch (s->substate_metablock_header) { case BROTLI_STATE_METABLOCK_HEADER_NONE: if (!BrotliSafeReadBits(br, 1, &bits)) { return BROTLI_DECODER_NEEDS_MORE_INPUT; } s->is_last_metablock = bits ? 1 : 0; s->meta_block_remaining_len = 0; s->is_uncompressed = 0; s->is_metadata = 0; if (!s->is_last_metablock) { s->substate_metablock_header = BROTLI_STATE_METABLOCK_HEADER_NIBBLES; break; } s->substate_metablock_header = BROTLI_STATE_METABLOCK_HEADER_EMPTY; /* Fall through. */ case BROTLI_STATE_METABLOCK_HEADER_EMPTY: if (!BrotliSafeReadBits(br, 1, &bits)) { return BROTLI_DECODER_NEEDS_MORE_INPUT; } if (bits) { s->substate_metablock_header = BROTLI_STATE_METABLOCK_HEADER_NONE; return BROTLI_DECODER_SUCCESS; } s->substate_metablock_header = BROTLI_STATE_METABLOCK_HEADER_NIBBLES; /* Fall through. */ case BROTLI_STATE_METABLOCK_HEADER_NIBBLES: if (!BrotliSafeReadBits(br, 2, &bits)) { return BROTLI_DECODER_NEEDS_MORE_INPUT; } s->size_nibbles = (uint8_t)(bits + 4); s->loop_counter = 0; if (bits == 3) { s->is_metadata = 1; s->substate_metablock_header = BROTLI_STATE_METABLOCK_HEADER_RESERVED; break; } s->substate_metablock_header = BROTLI_STATE_METABLOCK_HEADER_SIZE; /* Fall through. */ case BROTLI_STATE_METABLOCK_HEADER_SIZE: i = s->loop_counter; for (; i < (int)s->size_nibbles; ++i) { if (!BrotliSafeReadBits(br, 4, &bits)) { s->loop_counter = i; return BROTLI_DECODER_NEEDS_MORE_INPUT; } if (i + 1 == (int)s->size_nibbles && s->size_nibbles > 4 && bits == 0) { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_EXUBERANT_NIBBLE); } s->meta_block_remaining_len |= (int)(bits << (i * 4)); } s->substate_metablock_header = BROTLI_STATE_METABLOCK_HEADER_UNCOMPRESSED; /* Fall through. */ case BROTLI_STATE_METABLOCK_HEADER_UNCOMPRESSED: if (!s->is_last_metablock) { if (!BrotliSafeReadBits(br, 1, &bits)) { return BROTLI_DECODER_NEEDS_MORE_INPUT; } s->is_uncompressed = bits ? 1 : 0; } ++s->meta_block_remaining_len; s->substate_metablock_header = BROTLI_STATE_METABLOCK_HEADER_NONE; return BROTLI_DECODER_SUCCESS; case BROTLI_STATE_METABLOCK_HEADER_RESERVED: if (!BrotliSafeReadBits(br, 1, &bits)) { return BROTLI_DECODER_NEEDS_MORE_INPUT; } if (bits != 0) { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_RESERVED); } s->substate_metablock_header = BROTLI_STATE_METABLOCK_HEADER_BYTES; /* Fall through. */ case BROTLI_STATE_METABLOCK_HEADER_BYTES: if (!BrotliSafeReadBits(br, 2, &bits)) { return BROTLI_DECODER_NEEDS_MORE_INPUT; } if (bits == 0) { s->substate_metablock_header = BROTLI_STATE_METABLOCK_HEADER_NONE; return BROTLI_DECODER_SUCCESS; } s->size_nibbles = (uint8_t)bits; s->substate_metablock_header = BROTLI_STATE_METABLOCK_HEADER_METADATA; /* Fall through. */ case BROTLI_STATE_METABLOCK_HEADER_METADATA: i = s->loop_counter; for (; i < (int)s->size_nibbles; ++i) { if (!BrotliSafeReadBits(br, 8, &bits)) { s->loop_counter = i; return BROTLI_DECODER_NEEDS_MORE_INPUT; } if (i + 1 == (int)s->size_nibbles && s->size_nibbles > 1 && bits == 0) { return BROTLI_FAILURE( BROTLI_DECODER_ERROR_FORMAT_EXUBERANT_META_NIBBLE); } s->meta_block_remaining_len |= (int)(bits << (i * 8)); } ++s->meta_block_remaining_len; s->substate_metablock_header = BROTLI_STATE_METABLOCK_HEADER_NONE; return BROTLI_DECODER_SUCCESS; default: return BROTLI_FAILURE(BROTLI_DECODER_ERROR_UNREACHABLE); /* COV_NF_LINE */ } } } /* Decodes the Huffman code. This method doesn't read data from the bit reader, BUT drops the amount of bits that correspond to the decoded symbol. bits MUST contain at least 15 (BROTLI_HUFFMAN_MAX_CODE_LENGTH) valid bits. */ static BROTLI_INLINE brotli_reg_t DecodeSymbol(brotli_reg_t bits, const HuffmanCode* table, BrotliBitReader* br) { BROTLI_HC_MARK_TABLE_FOR_FAST_LOAD(table); BROTLI_HC_ADJUST_TABLE_INDEX(table, bits & HUFFMAN_TABLE_MASK); if (BROTLI_HC_FAST_LOAD_BITS(table) > HUFFMAN_TABLE_BITS) { brotli_reg_t nbits = BROTLI_HC_FAST_LOAD_BITS(table) - HUFFMAN_TABLE_BITS; BrotliDropBits(br, HUFFMAN_TABLE_BITS); BROTLI_HC_ADJUST_TABLE_INDEX(table, BROTLI_HC_FAST_LOAD_VALUE(table) + ((bits >> HUFFMAN_TABLE_BITS) & BitMask(nbits))); } BrotliDropBits(br, BROTLI_HC_FAST_LOAD_BITS(table)); return BROTLI_HC_FAST_LOAD_VALUE(table); } /* Reads and decodes the next Huffman code from bit-stream. This method peeks 16 bits of input and drops 0 - 15 of them. */ static BROTLI_INLINE brotli_reg_t ReadSymbol(const HuffmanCode* table, BrotliBitReader* br) { return DecodeSymbol(BrotliGet16BitsUnmasked(br), table, br); } /* Same as DecodeSymbol, but it is known that there is less than 15 bits of input are currently available. */ static BROTLI_NOINLINE BROTLI_BOOL SafeDecodeSymbol( const HuffmanCode* table, BrotliBitReader* br, brotli_reg_t* result) { brotli_reg_t val; brotli_reg_t available_bits = BrotliGetAvailableBits(br); BROTLI_HC_MARK_TABLE_FOR_FAST_LOAD(table); if (available_bits == 0) { if (BROTLI_HC_FAST_LOAD_BITS(table) == 0) { *result = BROTLI_HC_FAST_LOAD_VALUE(table); return BROTLI_TRUE; } return BROTLI_FALSE; /* No valid bits at all. */ } val = BrotliGetBitsUnmasked(br); BROTLI_HC_ADJUST_TABLE_INDEX(table, val & HUFFMAN_TABLE_MASK); if (BROTLI_HC_FAST_LOAD_BITS(table) <= HUFFMAN_TABLE_BITS) { if (BROTLI_HC_FAST_LOAD_BITS(table) <= available_bits) { BrotliDropBits(br, BROTLI_HC_FAST_LOAD_BITS(table)); *result = BROTLI_HC_FAST_LOAD_VALUE(table); return BROTLI_TRUE; } else { return BROTLI_FALSE; /* Not enough bits for the first level. */ } } if (available_bits <= HUFFMAN_TABLE_BITS) { return BROTLI_FALSE; /* Not enough bits to move to the second level. */ } /* Speculatively drop HUFFMAN_TABLE_BITS. */ val = (val & BitMask(BROTLI_HC_FAST_LOAD_BITS(table))) >> HUFFMAN_TABLE_BITS; available_bits -= HUFFMAN_TABLE_BITS; BROTLI_HC_ADJUST_TABLE_INDEX(table, BROTLI_HC_FAST_LOAD_VALUE(table) + val); if (available_bits < BROTLI_HC_FAST_LOAD_BITS(table)) { return BROTLI_FALSE; /* Not enough bits for the second level. */ } BrotliDropBits(br, HUFFMAN_TABLE_BITS + BROTLI_HC_FAST_LOAD_BITS(table)); *result = BROTLI_HC_FAST_LOAD_VALUE(table); return BROTLI_TRUE; } static BROTLI_INLINE BROTLI_BOOL SafeReadSymbol( const HuffmanCode* table, BrotliBitReader* br, brotli_reg_t* result) { brotli_reg_t val; if (BROTLI_PREDICT_TRUE(BrotliSafeGetBits(br, 15, &val))) { *result = DecodeSymbol(val, table, br); return BROTLI_TRUE; } return SafeDecodeSymbol(table, br, result); } /* Makes a look-up in first level Huffman table. Peeks 8 bits. */ static BROTLI_INLINE void PreloadSymbol(int safe, const HuffmanCode* table, BrotliBitReader* br, brotli_reg_t* bits, brotli_reg_t* value) { if (safe) { return; } BROTLI_HC_MARK_TABLE_FOR_FAST_LOAD(table); BROTLI_HC_ADJUST_TABLE_INDEX(table, BrotliGetBits(br, HUFFMAN_TABLE_BITS)); *bits = BROTLI_HC_FAST_LOAD_BITS(table); *value = BROTLI_HC_FAST_LOAD_VALUE(table); } /* Decodes the next Huffman code using data prepared by PreloadSymbol. Reads 0 - 15 bits. Also peeks 8 following bits. */ static BROTLI_INLINE brotli_reg_t ReadPreloadedSymbol(const HuffmanCode* table, BrotliBitReader* br, brotli_reg_t* bits, brotli_reg_t* value) { brotli_reg_t result = *value; if (BROTLI_PREDICT_FALSE(*bits > HUFFMAN_TABLE_BITS)) { brotli_reg_t val = BrotliGet16BitsUnmasked(br); const HuffmanCode* ext = table + (val & HUFFMAN_TABLE_MASK) + *value; brotli_reg_t mask = BitMask((*bits - HUFFMAN_TABLE_BITS)); BROTLI_HC_MARK_TABLE_FOR_FAST_LOAD(ext); BrotliDropBits(br, HUFFMAN_TABLE_BITS); BROTLI_HC_ADJUST_TABLE_INDEX(ext, (val >> HUFFMAN_TABLE_BITS) & mask); BrotliDropBits(br, BROTLI_HC_FAST_LOAD_BITS(ext)); result = BROTLI_HC_FAST_LOAD_VALUE(ext); } else { BrotliDropBits(br, *bits); } PreloadSymbol(0, table, br, bits, value); return result; } static BROTLI_INLINE brotli_reg_t Log2Floor(brotli_reg_t x) { brotli_reg_t result = 0; while (x) { x >>= 1; ++result; } return result; } /* Reads (s->symbol + 1) symbols. Totally 1..4 symbols are read, 1..11 bits each. The list of symbols MUST NOT contain duplicates. */ static BrotliDecoderErrorCode ReadSimpleHuffmanSymbols( brotli_reg_t alphabet_size_max, brotli_reg_t alphabet_size_limit, BrotliDecoderState* s) { /* max_bits == 1..11; symbol == 0..3; 1..44 bits will be read. */ BrotliBitReader* br = &s->br; BrotliMetablockHeaderArena* h = &s->arena.header; brotli_reg_t max_bits = Log2Floor(alphabet_size_max - 1); brotli_reg_t i = h->sub_loop_counter; brotli_reg_t num_symbols = h->symbol; while (i <= num_symbols) { brotli_reg_t v; if (BROTLI_PREDICT_FALSE(!BrotliSafeReadBits(br, max_bits, &v))) { h->sub_loop_counter = i; h->substate_huffman = BROTLI_STATE_HUFFMAN_SIMPLE_READ; return BROTLI_DECODER_NEEDS_MORE_INPUT; } if (v >= alphabet_size_limit) { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_SIMPLE_HUFFMAN_ALPHABET); } h->symbols_lists_array[i] = (uint16_t)v; BROTLI_LOG_UINT(h->symbols_lists_array[i]); ++i; } for (i = 0; i < num_symbols; ++i) { brotli_reg_t k = i + 1; for (; k <= num_symbols; ++k) { if (h->symbols_lists_array[i] == h->symbols_lists_array[k]) { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_SIMPLE_HUFFMAN_SAME); } } } return BROTLI_DECODER_SUCCESS; } /* Process single decoded symbol code length: A) reset the repeat variable B) remember code length (if it is not 0) C) extend corresponding index-chain D) reduce the Huffman space E) update the histogram */ static BROTLI_INLINE void ProcessSingleCodeLength(brotli_reg_t code_len, brotli_reg_t* symbol, brotli_reg_t* repeat, brotli_reg_t* space, brotli_reg_t* prev_code_len, uint16_t* symbol_lists, uint16_t* code_length_histo, int* next_symbol) { *repeat = 0; if (code_len != 0) { /* code_len == 1..15 */ symbol_lists[next_symbol[code_len]] = (uint16_t)(*symbol); next_symbol[code_len] = (int)(*symbol); *prev_code_len = code_len; *space -= 32768U >> code_len; code_length_histo[code_len]++; BROTLI_LOG(("[ReadHuffmanCode] code_length[%d] = %d\n", (int)*symbol, (int)code_len)); } (*symbol)++; } /* Process repeated symbol code length. A) Check if it is the extension of previous repeat sequence; if the decoded value is not BROTLI_REPEAT_PREVIOUS_CODE_LENGTH, then it is a new symbol-skip B) Update repeat variable C) Check if operation is feasible (fits alphabet) D) For each symbol do the same operations as in ProcessSingleCodeLength PRECONDITION: code_len == BROTLI_REPEAT_PREVIOUS_CODE_LENGTH or code_len == BROTLI_REPEAT_ZERO_CODE_LENGTH */ static BROTLI_INLINE void ProcessRepeatedCodeLength(brotli_reg_t code_len, brotli_reg_t repeat_delta, brotli_reg_t alphabet_size, brotli_reg_t* symbol, brotli_reg_t* repeat, brotli_reg_t* space, brotli_reg_t* prev_code_len, brotli_reg_t* repeat_code_len, uint16_t* symbol_lists, uint16_t* code_length_histo, int* next_symbol) { brotli_reg_t old_repeat; brotli_reg_t extra_bits = 3; /* for BROTLI_REPEAT_ZERO_CODE_LENGTH */ brotli_reg_t new_len = 0; /* for BROTLI_REPEAT_ZERO_CODE_LENGTH */ if (code_len == BROTLI_REPEAT_PREVIOUS_CODE_LENGTH) { new_len = *prev_code_len; extra_bits = 2; } if (*repeat_code_len != new_len) { *repeat = 0; *repeat_code_len = new_len; } old_repeat = *repeat; if (*repeat > 0) { *repeat -= 2; *repeat <<= extra_bits; } *repeat += repeat_delta + 3U; repeat_delta = *repeat - old_repeat; if (*symbol + repeat_delta > alphabet_size) { BROTLI_DUMP(); *symbol = alphabet_size; *space = 0xFFFFF; return; } BROTLI_LOG(("[ReadHuffmanCode] code_length[%d..%d] = %d\n", (int)*symbol, (int)(*symbol + repeat_delta - 1), (int)*repeat_code_len)); if (*repeat_code_len != 0) { brotli_reg_t last = *symbol + repeat_delta; int next = next_symbol[*repeat_code_len]; do { symbol_lists[next] = (uint16_t)*symbol; next = (int)*symbol; } while (++(*symbol) != last); next_symbol[*repeat_code_len] = next; *space -= repeat_delta << (15 - *repeat_code_len); code_length_histo[*repeat_code_len] = (uint16_t)(code_length_histo[*repeat_code_len] + repeat_delta); } else { *symbol += repeat_delta; } } /* Reads and decodes symbol codelengths. */ static BrotliDecoderErrorCode ReadSymbolCodeLengths( brotli_reg_t alphabet_size, BrotliDecoderState* s) { BrotliBitReader* br = &s->br; BrotliMetablockHeaderArena* h = &s->arena.header; brotli_reg_t symbol = h->symbol; brotli_reg_t repeat = h->repeat; brotli_reg_t space = h->space; brotli_reg_t prev_code_len = h->prev_code_len; brotli_reg_t repeat_code_len = h->repeat_code_len; uint16_t* symbol_lists = h->symbol_lists; uint16_t* code_length_histo = h->code_length_histo; int* next_symbol = h->next_symbol; if (!BrotliWarmupBitReader(br)) { return BROTLI_DECODER_NEEDS_MORE_INPUT; } while (symbol < alphabet_size && space > 0) { const HuffmanCode* p = h->table; brotli_reg_t code_len; BROTLI_HC_MARK_TABLE_FOR_FAST_LOAD(p); if (!BrotliCheckInputAmount(br)) { h->symbol = symbol; h->repeat = repeat; h->prev_code_len = prev_code_len; h->repeat_code_len = repeat_code_len; h->space = space; return BROTLI_DECODER_NEEDS_MORE_INPUT; } BrotliFillBitWindow16(br); BROTLI_HC_ADJUST_TABLE_INDEX(p, BrotliGetBitsUnmasked(br) & BitMask(BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH)); BrotliDropBits(br, BROTLI_HC_FAST_LOAD_BITS(p)); /* Use 1..5 bits. */ code_len = BROTLI_HC_FAST_LOAD_VALUE(p); /* code_len == 0..17 */ if (code_len < BROTLI_REPEAT_PREVIOUS_CODE_LENGTH) { ProcessSingleCodeLength(code_len, &symbol, &repeat, &space, &prev_code_len, symbol_lists, code_length_histo, next_symbol); } else { /* code_len == 16..17, extra_bits == 2..3 */ brotli_reg_t extra_bits = (code_len == BROTLI_REPEAT_PREVIOUS_CODE_LENGTH) ? 2 : 3; brotli_reg_t repeat_delta = BrotliGetBitsUnmasked(br) & BitMask(extra_bits); BrotliDropBits(br, extra_bits); ProcessRepeatedCodeLength(code_len, repeat_delta, alphabet_size, &symbol, &repeat, &space, &prev_code_len, &repeat_code_len, symbol_lists, code_length_histo, next_symbol); } } h->space = space; return BROTLI_DECODER_SUCCESS; } static BrotliDecoderErrorCode SafeReadSymbolCodeLengths( brotli_reg_t alphabet_size, BrotliDecoderState* s) { BrotliBitReader* br = &s->br; BrotliMetablockHeaderArena* h = &s->arena.header; BROTLI_BOOL get_byte = BROTLI_FALSE; while (h->symbol < alphabet_size && h->space > 0) { const HuffmanCode* p = h->table; brotli_reg_t code_len; brotli_reg_t available_bits; brotli_reg_t bits = 0; BROTLI_HC_MARK_TABLE_FOR_FAST_LOAD(p); if (get_byte && !BrotliPullByte(br)) return BROTLI_DECODER_NEEDS_MORE_INPUT; get_byte = BROTLI_FALSE; available_bits = BrotliGetAvailableBits(br); if (available_bits != 0) { bits = (uint32_t)BrotliGetBitsUnmasked(br); } BROTLI_HC_ADJUST_TABLE_INDEX(p, bits & BitMask(BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH)); if (BROTLI_HC_FAST_LOAD_BITS(p) > available_bits) { get_byte = BROTLI_TRUE; continue; } code_len = BROTLI_HC_FAST_LOAD_VALUE(p); /* code_len == 0..17 */ if (code_len < BROTLI_REPEAT_PREVIOUS_CODE_LENGTH) { BrotliDropBits(br, BROTLI_HC_FAST_LOAD_BITS(p)); ProcessSingleCodeLength(code_len, &h->symbol, &h->repeat, &h->space, &h->prev_code_len, h->symbol_lists, h->code_length_histo, h->next_symbol); } else { /* code_len == 16..17, extra_bits == 2..3 */ brotli_reg_t extra_bits = code_len - 14U; brotli_reg_t repeat_delta = (bits >> BROTLI_HC_FAST_LOAD_BITS(p)) & BitMask(extra_bits); if (available_bits < BROTLI_HC_FAST_LOAD_BITS(p) + extra_bits) { get_byte = BROTLI_TRUE; continue; } BrotliDropBits(br, BROTLI_HC_FAST_LOAD_BITS(p) + extra_bits); ProcessRepeatedCodeLength(code_len, repeat_delta, alphabet_size, &h->symbol, &h->repeat, &h->space, &h->prev_code_len, &h->repeat_code_len, h->symbol_lists, h->code_length_histo, h->next_symbol); } } return BROTLI_DECODER_SUCCESS; } /* Reads and decodes 15..18 codes using static prefix code. Each code is 2..4 bits long. In total 30..72 bits are used. */ static BrotliDecoderErrorCode ReadCodeLengthCodeLengths(BrotliDecoderState* s) { BrotliBitReader* br = &s->br; BrotliMetablockHeaderArena* h = &s->arena.header; brotli_reg_t num_codes = h->repeat; brotli_reg_t space = h->space; brotli_reg_t i = h->sub_loop_counter; for (; i < BROTLI_CODE_LENGTH_CODES; ++i) { const uint8_t code_len_idx = kCodeLengthCodeOrder[i]; brotli_reg_t ix; brotli_reg_t v; if (BROTLI_PREDICT_FALSE(!BrotliSafeGetBits(br, 4, &ix))) { brotli_reg_t available_bits = BrotliGetAvailableBits(br); if (available_bits != 0) { ix = BrotliGetBitsUnmasked(br) & 0xF; } else { ix = 0; } if (kCodeLengthPrefixLength[ix] > available_bits) { h->sub_loop_counter = i; h->repeat = num_codes; h->space = space; h->substate_huffman = BROTLI_STATE_HUFFMAN_COMPLEX; return BROTLI_DECODER_NEEDS_MORE_INPUT; } } v = kCodeLengthPrefixValue[ix]; BrotliDropBits(br, kCodeLengthPrefixLength[ix]); h->code_length_code_lengths[code_len_idx] = (uint8_t)v; BROTLI_LOG_ARRAY_INDEX(h->code_length_code_lengths, code_len_idx); if (v != 0) { space = space - (32U >> v); ++num_codes; ++h->code_length_histo[v]; if (space - 1U >= 32U) { /* space is 0 or wrapped around. */ break; } } } if (!(num_codes == 1 || space == 0)) { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_CL_SPACE); } return BROTLI_DECODER_SUCCESS; } /* Decodes the Huffman tables. There are 2 scenarios: A) Huffman code contains only few symbols (1..4). Those symbols are read directly; their code lengths are defined by the number of symbols. For this scenario 4 - 49 bits will be read. B) 2-phase decoding: B.1) Small Huffman table is decoded; it is specified with code lengths encoded with predefined entropy code. 32 - 74 bits are used. B.2) Decoded table is used to decode code lengths of symbols in resulting Huffman table. In worst case 3520 bits are read. */ static BrotliDecoderErrorCode ReadHuffmanCode(brotli_reg_t alphabet_size_max, brotli_reg_t alphabet_size_limit, HuffmanCode* table, brotli_reg_t* opt_table_size, BrotliDecoderState* s) { BrotliBitReader* br = &s->br; BrotliMetablockHeaderArena* h = &s->arena.header; /* State machine. */ for (;;) { switch (h->substate_huffman) { case BROTLI_STATE_HUFFMAN_NONE: if (!BrotliSafeReadBits(br, 2, &h->sub_loop_counter)) { return BROTLI_DECODER_NEEDS_MORE_INPUT; } BROTLI_LOG_UINT(h->sub_loop_counter); /* The value is used as follows: 1 for simple code; 0 for no skipping, 2 skips 2 code lengths, 3 skips 3 code lengths */ if (h->sub_loop_counter != 1) { h->space = 32; h->repeat = 0; /* num_codes */ memset(&h->code_length_histo[0], 0, sizeof(h->code_length_histo[0]) * (BROTLI_HUFFMAN_MAX_CODE_LENGTH_CODE_LENGTH + 1)); memset(&h->code_length_code_lengths[0], 0, sizeof(h->code_length_code_lengths)); h->substate_huffman = BROTLI_STATE_HUFFMAN_COMPLEX; continue; } /* Fall through. */ case BROTLI_STATE_HUFFMAN_SIMPLE_SIZE: /* Read symbols, codes & code lengths directly. */ if (!BrotliSafeReadBits(br, 2, &h->symbol)) { /* num_symbols */ h->substate_huffman = BROTLI_STATE_HUFFMAN_SIMPLE_SIZE; return BROTLI_DECODER_NEEDS_MORE_INPUT; } h->sub_loop_counter = 0; /* Fall through. */ case BROTLI_STATE_HUFFMAN_SIMPLE_READ: { BrotliDecoderErrorCode result = ReadSimpleHuffmanSymbols(alphabet_size_max, alphabet_size_limit, s); if (result != BROTLI_DECODER_SUCCESS) { return result; } } /* Fall through. */ case BROTLI_STATE_HUFFMAN_SIMPLE_BUILD: { brotli_reg_t table_size; if (h->symbol == 3) { brotli_reg_t bits; if (!BrotliSafeReadBits(br, 1, &bits)) { h->substate_huffman = BROTLI_STATE_HUFFMAN_SIMPLE_BUILD; return BROTLI_DECODER_NEEDS_MORE_INPUT; } h->symbol += bits; } BROTLI_LOG_UINT(h->symbol); table_size = BrotliBuildSimpleHuffmanTable(table, HUFFMAN_TABLE_BITS, h->symbols_lists_array, (uint32_t)h->symbol); if (opt_table_size) { *opt_table_size = table_size; } h->substate_huffman = BROTLI_STATE_HUFFMAN_NONE; return BROTLI_DECODER_SUCCESS; } /* Decode Huffman-coded code lengths. */ case BROTLI_STATE_HUFFMAN_COMPLEX: { brotli_reg_t i; BrotliDecoderErrorCode result = ReadCodeLengthCodeLengths(s); if (result != BROTLI_DECODER_SUCCESS) { return result; } BrotliBuildCodeLengthsHuffmanTable(h->table, h->code_length_code_lengths, h->code_length_histo); memset(&h->code_length_histo[0], 0, sizeof(h->code_length_histo)); for (i = 0; i <= BROTLI_HUFFMAN_MAX_CODE_LENGTH; ++i) { h->next_symbol[i] = (int)i - (BROTLI_HUFFMAN_MAX_CODE_LENGTH + 1); h->symbol_lists[h->next_symbol[i]] = 0xFFFF; } h->symbol = 0; h->prev_code_len = BROTLI_INITIAL_REPEATED_CODE_LENGTH; h->repeat = 0; h->repeat_code_len = 0; h->space = 32768; h->substate_huffman = BROTLI_STATE_HUFFMAN_LENGTH_SYMBOLS; } /* Fall through. */ case BROTLI_STATE_HUFFMAN_LENGTH_SYMBOLS: { brotli_reg_t table_size; BrotliDecoderErrorCode result = ReadSymbolCodeLengths( alphabet_size_limit, s); if (result == BROTLI_DECODER_NEEDS_MORE_INPUT) { result = SafeReadSymbolCodeLengths(alphabet_size_limit, s); } if (result != BROTLI_DECODER_SUCCESS) { return result; } if (h->space != 0) { BROTLI_LOG(("[ReadHuffmanCode] space = %d\n", (int)h->space)); return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_HUFFMAN_SPACE); } table_size = BrotliBuildHuffmanTable( table, HUFFMAN_TABLE_BITS, h->symbol_lists, h->code_length_histo); if (opt_table_size) { *opt_table_size = table_size; } h->substate_huffman = BROTLI_STATE_HUFFMAN_NONE; return BROTLI_DECODER_SUCCESS; } default: return BROTLI_FAILURE(BROTLI_DECODER_ERROR_UNREACHABLE); /* COV_NF_LINE */ } } } /* Decodes a block length by reading 3..39 bits. */ static BROTLI_INLINE brotli_reg_t ReadBlockLength(const HuffmanCode* table, BrotliBitReader* br) { brotli_reg_t code; brotli_reg_t nbits; code = ReadSymbol(table, br); nbits = _kBrotliPrefixCodeRanges[code].nbits; /* nbits == 2..24 */ return _kBrotliPrefixCodeRanges[code].offset + BrotliReadBits24(br, nbits); } /* WARNING: if state is not BROTLI_STATE_READ_BLOCK_LENGTH_NONE, then reading can't be continued with ReadBlockLength. */ static BROTLI_INLINE BROTLI_BOOL SafeReadBlockLength( BrotliDecoderState* s, brotli_reg_t* result, const HuffmanCode* table, BrotliBitReader* br) { brotli_reg_t index; if (s->substate_read_block_length == BROTLI_STATE_READ_BLOCK_LENGTH_NONE) { if (!SafeReadSymbol(table, br, &index)) { return BROTLI_FALSE; } } else { index = s->block_length_index; } { brotli_reg_t bits; brotli_reg_t nbits = _kBrotliPrefixCodeRanges[index].nbits; brotli_reg_t offset = _kBrotliPrefixCodeRanges[index].offset; if (!BrotliSafeReadBits(br, nbits, &bits)) { s->block_length_index = index; s->substate_read_block_length = BROTLI_STATE_READ_BLOCK_LENGTH_SUFFIX; return BROTLI_FALSE; } *result = offset + bits; s->substate_read_block_length = BROTLI_STATE_READ_BLOCK_LENGTH_NONE; return BROTLI_TRUE; } } /* Transform: 1) initialize list L with values 0, 1,... 255 2) For each input element X: 2.1) let Y = L[X] 2.2) remove X-th element from L 2.3) prepend Y to L 2.4) append Y to output In most cases max(Y) <= 7, so most of L remains intact. To reduce the cost of initialization, we reuse L, remember the upper bound of Y values, and reinitialize only first elements in L. Most of input values are 0 and 1. To reduce number of branches, we replace inner for loop with do-while. */ static BROTLI_NOINLINE void InverseMoveToFrontTransform( uint8_t* v, brotli_reg_t v_len, BrotliDecoderState* state) { /* Reinitialize elements that could have been changed. */ brotli_reg_t i = 1; brotli_reg_t upper_bound = state->mtf_upper_bound; uint32_t* mtf = &state->mtf[1]; /* Make mtf[-1] addressable. */ uint8_t* mtf_u8 = (uint8_t*)mtf; /* Load endian-aware constant. */ const uint8_t b0123[4] = {0, 1, 2, 3}; uint32_t pattern; memcpy(&pattern, &b0123, 4); /* Initialize list using 4 consequent values pattern. */ mtf[0] = pattern; do { pattern += 0x04040404; /* Advance all 4 values by 4. */ mtf[i] = pattern; i++; } while (i <= upper_bound); /* Transform the input. */ upper_bound = 0; for (i = 0; i < v_len; ++i) { int index = v[i]; uint8_t value = mtf_u8[index]; upper_bound |= v[i]; v[i] = value; mtf_u8[-1] = value; do { index--; mtf_u8[index + 1] = mtf_u8[index]; } while (index >= 0); } /* Remember amount of elements to be reinitialized. */ state->mtf_upper_bound = upper_bound >> 2; } /* Decodes a series of Huffman table using ReadHuffmanCode function. */ static BrotliDecoderErrorCode HuffmanTreeGroupDecode( HuffmanTreeGroup* group, BrotliDecoderState* s) { BrotliMetablockHeaderArena* h = &s->arena.header; if (h->substate_tree_group != BROTLI_STATE_TREE_GROUP_LOOP) { h->next = group->codes; h->htree_index = 0; h->substate_tree_group = BROTLI_STATE_TREE_GROUP_LOOP; } while (h->htree_index < group->num_htrees) { brotli_reg_t table_size; BrotliDecoderErrorCode result = ReadHuffmanCode(group->alphabet_size_max, group->alphabet_size_limit, h->next, &table_size, s); if (result != BROTLI_DECODER_SUCCESS) return result; group->htrees[h->htree_index] = h->next; h->next += table_size; ++h->htree_index; } h->substate_tree_group = BROTLI_STATE_TREE_GROUP_NONE; return BROTLI_DECODER_SUCCESS; } /* Decodes a context map. Decoding is done in 4 phases: 1) Read auxiliary information (6..16 bits) and allocate memory. In case of trivial context map, decoding is finished at this phase. 2) Decode Huffman table using ReadHuffmanCode function. This table will be used for reading context map items. 3) Read context map items; "0" values could be run-length encoded. 4) Optionally, apply InverseMoveToFront transform to the resulting map. */ static BrotliDecoderErrorCode DecodeContextMap(brotli_reg_t context_map_size, brotli_reg_t* num_htrees, uint8_t** context_map_arg, BrotliDecoderState* s) { BrotliBitReader* br = &s->br; BrotliDecoderErrorCode result = BROTLI_DECODER_SUCCESS; BrotliMetablockHeaderArena* h = &s->arena.header; switch ((int)h->substate_context_map) { case BROTLI_STATE_CONTEXT_MAP_NONE: result = DecodeVarLenUint8(s, br, num_htrees); if (result != BROTLI_DECODER_SUCCESS) { return result; } (*num_htrees)++; h->context_index = 0; BROTLI_LOG_UINT(context_map_size); BROTLI_LOG_UINT(*num_htrees); *context_map_arg = (uint8_t*)BROTLI_DECODER_ALLOC(s, (size_t)context_map_size); if (*context_map_arg == 0) { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_ALLOC_CONTEXT_MAP); } if (*num_htrees <= 1) { memset(*context_map_arg, 0, (size_t)context_map_size); return BROTLI_DECODER_SUCCESS; } h->substate_context_map = BROTLI_STATE_CONTEXT_MAP_READ_PREFIX; /* Fall through. */ case BROTLI_STATE_CONTEXT_MAP_READ_PREFIX: { brotli_reg_t bits; /* In next stage ReadHuffmanCode uses at least 4 bits, so it is safe to peek 4 bits ahead. */ if (!BrotliSafeGetBits(br, 5, &bits)) { return BROTLI_DECODER_NEEDS_MORE_INPUT; } if ((bits & 1) != 0) { /* Use RLE for zeros. */ h->max_run_length_prefix = (bits >> 1) + 1; BrotliDropBits(br, 5); } else { h->max_run_length_prefix = 0; BrotliDropBits(br, 1); } BROTLI_LOG_UINT(h->max_run_length_prefix); h->substate_context_map = BROTLI_STATE_CONTEXT_MAP_HUFFMAN; } /* Fall through. */ case BROTLI_STATE_CONTEXT_MAP_HUFFMAN: { brotli_reg_t alphabet_size = *num_htrees + h->max_run_length_prefix; result = ReadHuffmanCode(alphabet_size, alphabet_size, h->context_map_table, NULL, s); if (result != BROTLI_DECODER_SUCCESS) return result; h->code = 0xFFFF; h->substate_context_map = BROTLI_STATE_CONTEXT_MAP_DECODE; } /* Fall through. */ case BROTLI_STATE_CONTEXT_MAP_DECODE: { brotli_reg_t context_index = h->context_index; brotli_reg_t max_run_length_prefix = h->max_run_length_prefix; uint8_t* context_map = *context_map_arg; brotli_reg_t code = h->code; BROTLI_BOOL skip_preamble = (code != 0xFFFF); while (context_index < context_map_size || skip_preamble) { if (!skip_preamble) { if (!SafeReadSymbol(h->context_map_table, br, &code)) { h->code = 0xFFFF; h->context_index = context_index; return BROTLI_DECODER_NEEDS_MORE_INPUT; } BROTLI_LOG_UINT(code); if (code == 0) { context_map[context_index++] = 0; continue; } if (code > max_run_length_prefix) { context_map[context_index++] = (uint8_t)(code - max_run_length_prefix); continue; } } else { skip_preamble = BROTLI_FALSE; } /* RLE sub-stage. */ { brotli_reg_t reps; if (!BrotliSafeReadBits(br, code, &reps)) { h->code = code; h->context_index = context_index; return BROTLI_DECODER_NEEDS_MORE_INPUT; } reps += 1U << code; BROTLI_LOG_UINT(reps); if (context_index + reps > context_map_size) { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_CONTEXT_MAP_REPEAT); } do { context_map[context_index++] = 0; } while (--reps); } } } /* Fall through. */ case BROTLI_STATE_CONTEXT_MAP_TRANSFORM: { brotli_reg_t bits; if (!BrotliSafeReadBits(br, 1, &bits)) { h->substate_context_map = BROTLI_STATE_CONTEXT_MAP_TRANSFORM; return BROTLI_DECODER_NEEDS_MORE_INPUT; } if (bits != 0) { InverseMoveToFrontTransform(*context_map_arg, context_map_size, s); } h->substate_context_map = BROTLI_STATE_CONTEXT_MAP_NONE; return BROTLI_DECODER_SUCCESS; } default: return BROTLI_FAILURE(BROTLI_DECODER_ERROR_UNREACHABLE); /* COV_NF_LINE */ } } /* Decodes a command or literal and updates block type ring-buffer. Reads 3..54 bits. */ static BROTLI_INLINE BROTLI_BOOL DecodeBlockTypeAndLength( int safe, BrotliDecoderState* s, int tree_type) { brotli_reg_t max_block_type = s->num_block_types[tree_type]; const HuffmanCode* type_tree = &s->block_type_trees[ tree_type * BROTLI_HUFFMAN_MAX_SIZE_258]; const HuffmanCode* len_tree = &s->block_len_trees[ tree_type * BROTLI_HUFFMAN_MAX_SIZE_26]; BrotliBitReader* br = &s->br; brotli_reg_t* ringbuffer = &s->block_type_rb[tree_type * 2]; brotli_reg_t block_type; if (max_block_type <= 1) { return BROTLI_FALSE; } /* Read 0..15 + 3..39 bits. */ if (!safe) { block_type = ReadSymbol(type_tree, br); s->block_length[tree_type] = ReadBlockLength(len_tree, br); } else { BrotliBitReaderState memento; BrotliBitReaderSaveState(br, &memento); if (!SafeReadSymbol(type_tree, br, &block_type)) return BROTLI_FALSE; if (!SafeReadBlockLength(s, &s->block_length[tree_type], len_tree, br)) { s->substate_read_block_length = BROTLI_STATE_READ_BLOCK_LENGTH_NONE; BrotliBitReaderRestoreState(br, &memento); return BROTLI_FALSE; } } if (block_type == 1) { block_type = ringbuffer[1] + 1; } else if (block_type == 0) { block_type = ringbuffer[0]; } else { block_type -= 2; } if (block_type >= max_block_type) { block_type -= max_block_type; } ringbuffer[0] = ringbuffer[1]; ringbuffer[1] = block_type; return BROTLI_TRUE; } static BROTLI_INLINE void DetectTrivialLiteralBlockTypes( BrotliDecoderState* s) { size_t i; for (i = 0; i < 8; ++i) s->trivial_literal_contexts[i] = 0; for (i = 0; i < s->num_block_types[0]; i++) { size_t offset = i << BROTLI_LITERAL_CONTEXT_BITS; size_t error = 0; size_t sample = s->context_map[offset]; size_t j; for (j = 0; j < (1u << BROTLI_LITERAL_CONTEXT_BITS);) { /* NOLINTNEXTLINE(bugprone-macro-repeated-side-effects) */ BROTLI_REPEAT_4({ error |= s->context_map[offset + j++] ^ sample; }) } if (error == 0) { s->trivial_literal_contexts[i >> 5] |= 1u << (i & 31); } } } static BROTLI_INLINE void PrepareLiteralDecoding(BrotliDecoderState* s) { uint8_t context_mode; size_t trivial; brotli_reg_t block_type = s->block_type_rb[1]; brotli_reg_t context_offset = block_type << BROTLI_LITERAL_CONTEXT_BITS; s->context_map_slice = s->context_map + context_offset; trivial = s->trivial_literal_contexts[block_type >> 5]; s->trivial_literal_context = (trivial >> (block_type & 31)) & 1; s->literal_htree = s->literal_hgroup.htrees[s->context_map_slice[0]]; context_mode = s->context_modes[block_type] & 3; s->context_lookup = BROTLI_CONTEXT_LUT(context_mode); } /* Decodes the block type and updates the state for literal context. Reads 3..54 bits. */ static BROTLI_INLINE BROTLI_BOOL DecodeLiteralBlockSwitchInternal( int safe, BrotliDecoderState* s) { if (!DecodeBlockTypeAndLength(safe, s, 0)) { return BROTLI_FALSE; } PrepareLiteralDecoding(s); return BROTLI_TRUE; } static void BROTLI_NOINLINE DecodeLiteralBlockSwitch(BrotliDecoderState* s) { DecodeLiteralBlockSwitchInternal(0, s); } static BROTLI_BOOL BROTLI_NOINLINE SafeDecodeLiteralBlockSwitch( BrotliDecoderState* s) { return DecodeLiteralBlockSwitchInternal(1, s); } /* Block switch for insert/copy length. Reads 3..54 bits. */ static BROTLI_INLINE BROTLI_BOOL DecodeCommandBlockSwitchInternal( int safe, BrotliDecoderState* s) { if (!DecodeBlockTypeAndLength(safe, s, 1)) { return BROTLI_FALSE; } s->htree_command = s->insert_copy_hgroup.htrees[s->block_type_rb[3]]; return BROTLI_TRUE; } static void BROTLI_NOINLINE DecodeCommandBlockSwitch(BrotliDecoderState* s) { DecodeCommandBlockSwitchInternal(0, s); } static BROTLI_BOOL BROTLI_NOINLINE SafeDecodeCommandBlockSwitch( BrotliDecoderState* s) { return DecodeCommandBlockSwitchInternal(1, s); } /* Block switch for distance codes. Reads 3..54 bits. */ static BROTLI_INLINE BROTLI_BOOL DecodeDistanceBlockSwitchInternal( int safe, BrotliDecoderState* s) { if (!DecodeBlockTypeAndLength(safe, s, 2)) { return BROTLI_FALSE; } s->dist_context_map_slice = s->dist_context_map + (s->block_type_rb[5] << BROTLI_DISTANCE_CONTEXT_BITS); s->dist_htree_index = s->dist_context_map_slice[s->distance_context]; return BROTLI_TRUE; } static void BROTLI_NOINLINE DecodeDistanceBlockSwitch(BrotliDecoderState* s) { DecodeDistanceBlockSwitchInternal(0, s); } static BROTLI_BOOL BROTLI_NOINLINE SafeDecodeDistanceBlockSwitch( BrotliDecoderState* s) { return DecodeDistanceBlockSwitchInternal(1, s); } static size_t UnwrittenBytes(const BrotliDecoderState* s, BROTLI_BOOL wrap) { size_t pos = wrap && s->pos > s->ringbuffer_size ? (size_t)s->ringbuffer_size : (size_t)(s->pos); size_t partial_pos_rb = (s->rb_roundtrips * (size_t)s->ringbuffer_size) + pos; return partial_pos_rb - s->partial_pos_out; } /* Dumps output. Returns BROTLI_DECODER_NEEDS_MORE_OUTPUT only if there is more output to push and either ring-buffer is as big as window size, or |force| is true. */ static BrotliDecoderErrorCode BROTLI_NOINLINE WriteRingBuffer( BrotliDecoderState* s, size_t* available_out, uint8_t** next_out, size_t* total_out, BROTLI_BOOL force) { uint8_t* start = s->ringbuffer + (s->partial_pos_out & (size_t)s->ringbuffer_mask); size_t to_write = UnwrittenBytes(s, BROTLI_TRUE); size_t num_written = *available_out; if (num_written > to_write) { num_written = to_write; } if (s->meta_block_remaining_len < 0) { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_BLOCK_LENGTH_1); } if (next_out && !*next_out) { *next_out = start; } else { if (next_out) { memcpy(*next_out, start, num_written); *next_out += num_written; } } *available_out -= num_written; BROTLI_LOG_UINT(to_write); BROTLI_LOG_UINT(num_written); s->partial_pos_out += num_written; if (total_out) { *total_out = s->partial_pos_out; } if (num_written < to_write) { if (s->ringbuffer_size == (1 << s->window_bits) || force) { return BROTLI_DECODER_NEEDS_MORE_OUTPUT; } else { return BROTLI_DECODER_SUCCESS; } } /* Wrap ring buffer only if it has reached its maximal size. */ if (s->ringbuffer_size == (1 << s->window_bits) && s->pos >= s->ringbuffer_size) { s->pos -= s->ringbuffer_size; s->rb_roundtrips++; s->should_wrap_ringbuffer = (size_t)s->pos != 0 ? 1 : 0; } return BROTLI_DECODER_SUCCESS; } static void BROTLI_NOINLINE WrapRingBuffer(BrotliDecoderState* s) { if (s->should_wrap_ringbuffer) { memcpy(s->ringbuffer, s->ringbuffer_end, (size_t)s->pos); s->should_wrap_ringbuffer = 0; } } /* Allocates ring-buffer. s->ringbuffer_size MUST be updated by BrotliCalculateRingBufferSize before this function is called. Last two bytes of ring-buffer are initialized to 0, so context calculation could be done uniformly for the first two and all other positions. */ static BROTLI_BOOL BROTLI_NOINLINE BrotliEnsureRingBuffer( BrotliDecoderState* s) { uint8_t* old_ringbuffer = s->ringbuffer; if (s->ringbuffer_size == s->new_ringbuffer_size) { return BROTLI_TRUE; } s->ringbuffer = (uint8_t*)BROTLI_DECODER_ALLOC(s, (size_t)(s->new_ringbuffer_size) + kRingBufferWriteAheadSlack); if (s->ringbuffer == 0) { /* Restore previous value. */ s->ringbuffer = old_ringbuffer; return BROTLI_FALSE; } s->ringbuffer[s->new_ringbuffer_size - 2] = 0; s->ringbuffer[s->new_ringbuffer_size - 1] = 0; if (!!old_ringbuffer) { memcpy(s->ringbuffer, old_ringbuffer, (size_t)s->pos); BROTLI_DECODER_FREE(s, old_ringbuffer); } s->ringbuffer_size = s->new_ringbuffer_size; s->ringbuffer_mask = s->new_ringbuffer_size - 1; s->ringbuffer_end = s->ringbuffer + s->ringbuffer_size; return BROTLI_TRUE; } static BrotliDecoderErrorCode BROTLI_NOINLINE SkipMetadataBlock(BrotliDecoderState* s) { BrotliBitReader* br = &s->br; if (s->meta_block_remaining_len == 0) { return BROTLI_DECODER_SUCCESS; } BROTLI_DCHECK((BrotliGetAvailableBits(br) & 7) == 0); /* Drain accumulator. */ if (BrotliGetAvailableBits(br) >= 8) { uint8_t buffer[8]; int nbytes = (int)(BrotliGetAvailableBits(br)) >> 3; BROTLI_DCHECK(nbytes <= 8); if (nbytes > s->meta_block_remaining_len) { nbytes = s->meta_block_remaining_len; } BrotliCopyBytes(buffer, br, (size_t)nbytes); if (s->metadata_chunk_func) { s->metadata_chunk_func(s->metadata_callback_opaque, buffer, (size_t)nbytes); } s->meta_block_remaining_len -= nbytes; if (s->meta_block_remaining_len == 0) { return BROTLI_DECODER_SUCCESS; } } /* Direct access to metadata is possible. */ int nbytes = (int)BrotliGetRemainingBytes(br); if (nbytes > s->meta_block_remaining_len) { nbytes = s->meta_block_remaining_len; } if (nbytes > 0) { if (s->metadata_chunk_func) { s->metadata_chunk_func(s->metadata_callback_opaque, br->next_in, (size_t)nbytes); } BrotliDropBytes(br, (size_t)nbytes); s->meta_block_remaining_len -= nbytes; if (s->meta_block_remaining_len == 0) { return BROTLI_DECODER_SUCCESS; } } BROTLI_DCHECK(BrotliGetRemainingBytes(br) == 0); return BROTLI_DECODER_NEEDS_MORE_INPUT; } static BrotliDecoderErrorCode BROTLI_NOINLINE CopyUncompressedBlockToOutput( size_t* available_out, uint8_t** next_out, size_t* total_out, BrotliDecoderState* s) { /* TODO(eustas): avoid allocation for single uncompressed block. */ if (!BrotliEnsureRingBuffer(s)) { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_ALLOC_RING_BUFFER_1); } /* State machine */ for (;;) { switch (s->substate_uncompressed) { case BROTLI_STATE_UNCOMPRESSED_NONE: { int nbytes = (int)BrotliGetRemainingBytes(&s->br); if (nbytes > s->meta_block_remaining_len) { nbytes = s->meta_block_remaining_len; } if (s->pos + nbytes > s->ringbuffer_size) { nbytes = s->ringbuffer_size - s->pos; } /* Copy remaining bytes from s->br.buf_ to ring-buffer. */ BrotliCopyBytes(&s->ringbuffer[s->pos], &s->br, (size_t)nbytes); s->pos += nbytes; s->meta_block_remaining_len -= nbytes; if (s->pos < 1 << s->window_bits) { if (s->meta_block_remaining_len == 0) { return BROTLI_DECODER_SUCCESS; } return BROTLI_DECODER_NEEDS_MORE_INPUT; } s->substate_uncompressed = BROTLI_STATE_UNCOMPRESSED_WRITE; } /* Fall through. */ case BROTLI_STATE_UNCOMPRESSED_WRITE: { BrotliDecoderErrorCode result; result = WriteRingBuffer( s, available_out, next_out, total_out, BROTLI_FALSE); if (result != BROTLI_DECODER_SUCCESS) { return result; } if (s->ringbuffer_size == 1 << s->window_bits) { s->max_distance = s->max_backward_distance; } s->substate_uncompressed = BROTLI_STATE_UNCOMPRESSED_NONE; break; } } } BROTLI_DCHECK(0); /* Unreachable */ } static BROTLI_BOOL AttachCompoundDictionary( BrotliDecoderState* state, const uint8_t* data, size_t size) { BrotliDecoderCompoundDictionary* addon = state->compound_dictionary; if (state->state != BROTLI_STATE_UNINITED) return BROTLI_FALSE; if (!addon) { addon = (BrotliDecoderCompoundDictionary*)BROTLI_DECODER_ALLOC( state, sizeof(BrotliDecoderCompoundDictionary)); if (!addon) return BROTLI_FALSE; addon->num_chunks = 0; addon->total_size = 0; addon->br_length = 0; addon->br_copied = 0; addon->block_bits = -1; addon->chunk_offsets[0] = 0; state->compound_dictionary = addon; } if (addon->num_chunks == 15) return BROTLI_FALSE; addon->chunks[addon->num_chunks] = data; addon->num_chunks++; addon->total_size += (int)size; addon->chunk_offsets[addon->num_chunks] = addon->total_size; return BROTLI_TRUE; } static void EnsureCoumpoundDictionaryInitialized(BrotliDecoderState* state) { BrotliDecoderCompoundDictionary* addon = state->compound_dictionary; /* 256 = (1 << 8) slots in block map. */ int block_bits = 8; int cursor = 0; int index = 0; if (addon->block_bits != -1) return; while (((addon->total_size - 1) >> block_bits) != 0) block_bits++; block_bits -= 8; addon->block_bits = block_bits; while (cursor < addon->total_size) { while (addon->chunk_offsets[index + 1] < cursor) index++; addon->block_map[cursor >> block_bits] = (uint8_t)index; cursor += 1 << block_bits; } } static BROTLI_BOOL InitializeCompoundDictionaryCopy(BrotliDecoderState* s, int address, int length) { BrotliDecoderCompoundDictionary* addon = s->compound_dictionary; int index; EnsureCoumpoundDictionaryInitialized(s); index = addon->block_map[address >> addon->block_bits]; while (address >= addon->chunk_offsets[index + 1]) index++; if (addon->total_size < address + length) return BROTLI_FALSE; /* Update the recent distances cache. */ s->dist_rb[s->dist_rb_idx & 3] = s->distance_code; ++s->dist_rb_idx; s->meta_block_remaining_len -= length; addon->br_index = index; addon->br_offset = address - addon->chunk_offsets[index]; addon->br_length = length; addon->br_copied = 0; return BROTLI_TRUE; } static int GetCompoundDictionarySize(BrotliDecoderState* s) { return s->compound_dictionary ? s->compound_dictionary->total_size : 0; } static int CopyFromCompoundDictionary(BrotliDecoderState* s, int pos) { BrotliDecoderCompoundDictionary* addon = s->compound_dictionary; int orig_pos = pos; while (addon->br_length != addon->br_copied) { uint8_t* copy_dst = &s->ringbuffer[pos]; const uint8_t* copy_src = addon->chunks[addon->br_index] + addon->br_offset; int space = s->ringbuffer_size - pos; int rem_chunk_length = (addon->chunk_offsets[addon->br_index + 1] - addon->chunk_offsets[addon->br_index]) - addon->br_offset; int length = addon->br_length - addon->br_copied; if (length > rem_chunk_length) length = rem_chunk_length; if (length > space) length = space; memcpy(copy_dst, copy_src, (size_t)length); pos += length; addon->br_offset += length; addon->br_copied += length; if (length == rem_chunk_length) { addon->br_index++; addon->br_offset = 0; } if (pos == s->ringbuffer_size) break; } return pos - orig_pos; } BROTLI_BOOL BrotliDecoderAttachDictionary( BrotliDecoderState* state, BrotliSharedDictionaryType type, size_t data_size, const uint8_t data[BROTLI_ARRAY_PARAM(data_size)]) { brotli_reg_t i; brotli_reg_t num_prefix_before = state->dictionary->num_prefix; if (state->state != BROTLI_STATE_UNINITED) return BROTLI_FALSE; if (!BrotliSharedDictionaryAttach(state->dictionary, type, data_size, data)) { return BROTLI_FALSE; } for (i = num_prefix_before; i < state->dictionary->num_prefix; i++) { if (!AttachCompoundDictionary( state, state->dictionary->prefix[i], state->dictionary->prefix_size[i])) { return BROTLI_FALSE; } } return BROTLI_TRUE; } /* Calculates the smallest feasible ring buffer. If we know the data size is small, do not allocate more ring buffer size than needed to reduce memory usage. When this method is called, metablock size and flags MUST be decoded. */ static void BROTLI_NOINLINE BrotliCalculateRingBufferSize( BrotliDecoderState* s) { int window_size = 1 << s->window_bits; int new_ringbuffer_size = window_size; /* We need at least 2 bytes of ring buffer size to get the last two bytes for context from there */ int min_size = s->ringbuffer_size ? s->ringbuffer_size : 1024; int output_size; /* If maximum is already reached, no further extension is retired. */ if (s->ringbuffer_size == window_size) { return; } /* Metadata blocks does not touch ring buffer. */ if (s->is_metadata) { return; } if (!s->ringbuffer) { output_size = 0; } else { output_size = s->pos; } output_size += s->meta_block_remaining_len; min_size = min_size < output_size ? output_size : min_size; if (!!s->canny_ringbuffer_allocation) { /* Reduce ring buffer size to save memory when server is unscrupulous. In worst case memory usage might be 1.5x bigger for a short period of ring buffer reallocation. */ while ((new_ringbuffer_size >> 1) >= min_size) { new_ringbuffer_size >>= 1; } } s->new_ringbuffer_size = new_ringbuffer_size; } /* Reads 1..256 2-bit context modes. */ static BrotliDecoderErrorCode ReadContextModes(BrotliDecoderState* s) { BrotliBitReader* br = &s->br; int i = s->loop_counter; while (i < (int)s->num_block_types[0]) { brotli_reg_t bits; if (!BrotliSafeReadBits(br, 2, &bits)) { s->loop_counter = i; return BROTLI_DECODER_NEEDS_MORE_INPUT; } s->context_modes[i] = (uint8_t)bits; BROTLI_LOG_ARRAY_INDEX(s->context_modes, i); i++; } return BROTLI_DECODER_SUCCESS; } static BROTLI_INLINE void TakeDistanceFromRingBuffer(BrotliDecoderState* s) { int offset = s->distance_code - 3; if (s->distance_code <= 3) { /* Compensate double distance-ring-buffer roll for dictionary items. */ s->distance_context = 1 >> s->distance_code; s->distance_code = s->dist_rb[(s->dist_rb_idx - offset) & 3]; s->dist_rb_idx -= s->distance_context; } else { int index_delta = 3; int delta; int base = s->distance_code - 10; if (s->distance_code < 10) { base = s->distance_code - 4; } else { index_delta = 2; } /* Unpack one of six 4-bit values. */ delta = ((0x605142 >> (4 * base)) & 0xF) - 3; s->distance_code = s->dist_rb[(s->dist_rb_idx + index_delta) & 0x3] + delta; if (s->distance_code <= 0) { /* A huge distance will cause a BROTLI_FAILURE() soon. This is a little faster than failing here. */ s->distance_code = 0x7FFFFFFF; } } } static BROTLI_INLINE BROTLI_BOOL SafeReadBits( BrotliBitReader* const br, brotli_reg_t n_bits, brotli_reg_t* val) { if (n_bits != 0) { return BrotliSafeReadBits(br, n_bits, val); } else { *val = 0; return BROTLI_TRUE; } } static BROTLI_INLINE BROTLI_BOOL SafeReadBits32( BrotliBitReader* const br, brotli_reg_t n_bits, brotli_reg_t* val) { if (n_bits != 0) { return BrotliSafeReadBits32(br, n_bits, val); } else { *val = 0; return BROTLI_TRUE; } } /* RFC 7932 Section 4 with "..." shortenings and "[]" emendations. Each distance ... is represented with a pair ... The distance code is encoded using a prefix code... The number of extra bits can be 0..24... Two additional parameters: NPOSTFIX (0..3), and ... NDIRECT (0..120) ... are encoded in the meta-block header... The first 16 distance symbols ... reference past distances... ring buffer ... Next NDIRECT distance symbols ... represent distances from 1 to NDIRECT... [For] distance symbols 16 + NDIRECT and greater ... the number of extra bits ... is given by the following formula: [ xcode = dcode - NDIRECT - 16 ] ndistbits = 1 + [ xcode ] >> (NPOSTFIX + 1) ... */ /* RFC 7932 Section 9.2 with "..." shortenings and "[]" emendations. ... to get the actual value of the parameter NDIRECT, left-shift this four-bit number by NPOSTFIX bits ... */ /* Remaining formulas from RFC 7932 Section 4 could be rewritten as following: alphabet_size = 16 + NDIRECT + (max_distbits << (NPOSTFIX + 1)) half = ((xcode >> NPOSTFIX) & 1) << ndistbits postfix = xcode & ((1 << NPOSTFIX) - 1) range_start = 2 * (1 << ndistbits - 1 - 1) distance = (range_start + half + extra) << NPOSTFIX + postfix + NDIRECT + 1 NB: ndistbits >= 1 -> range_start >= 0 NB: range_start has factor 2, as the range is covered by 2 "halves" NB: extra -1 offset in range_start formula covers the absence of ndistbits = 0 case NB: when NPOSTFIX = 0, NDIRECT is not greater than 15 In other words, xcode has the following binary structure - XXXHPPP: - XXX represent the number of extra distance bits - H selects upper / lower range of distances - PPP represent "postfix" "Regular" distance encoding has NPOSTFIX = 0; omitting the postfix part simplifies distance calculation. Using NPOSTFIX > 0 allows cheaper encoding of regular structures, e.g. where most of distances have the same reminder of division by 2/4/8. For example, the table of int32_t values that come from different sources; if it is likely that 3 highest bytes of values from the same source are the same, then copy distance often looks like 4x + y. Distance calculation could be rewritten to: ndistbits = NDISTBITS(NDIRECT, NPOSTFIX)[dcode] distance = OFFSET(NDIRECT, NPOSTFIX)[dcode] + extra << NPOSTFIX NDISTBITS and OFFSET could be pre-calculated, as NDIRECT and NPOSTFIX could change only once per meta-block. */ /* Calculates distance lookup table. NB: it is possible to have all 64 tables precalculated. */ static void CalculateDistanceLut(BrotliDecoderState* s) { BrotliMetablockBodyArena* b = &s->arena.body; brotli_reg_t npostfix = s->distance_postfix_bits; brotli_reg_t ndirect = s->num_direct_distance_codes; brotli_reg_t alphabet_size_limit = s->distance_hgroup.alphabet_size_limit; brotli_reg_t postfix = 1u << npostfix; brotli_reg_t j; brotli_reg_t bits = 1; brotli_reg_t half = 0; /* Skip short codes. */ brotli_reg_t i = BROTLI_NUM_DISTANCE_SHORT_CODES; /* Fill direct codes. */ for (j = 0; j < ndirect; ++j) { b->dist_extra_bits[i] = 0; b->dist_offset[i] = j + 1; ++i; } /* Fill regular distance codes. */ while (i < alphabet_size_limit) { brotli_reg_t base = ndirect + ((((2 + half) << bits) - 4) << npostfix) + 1; /* Always fill the complete group. */ for (j = 0; j < postfix; ++j) { b->dist_extra_bits[i] = (uint8_t)bits; b->dist_offset[i] = base + j; ++i; } bits = bits + half; half = half ^ 1; } } /* Precondition: s->distance_code < 0. */ static BROTLI_INLINE BROTLI_BOOL ReadDistanceInternal( int safe, BrotliDecoderState* s, BrotliBitReader* br) { BrotliMetablockBodyArena* b = &s->arena.body; brotli_reg_t code; brotli_reg_t bits; BrotliBitReaderState memento; HuffmanCode* distance_tree = s->distance_hgroup.htrees[s->dist_htree_index]; if (!safe) { code = ReadSymbol(distance_tree, br); } else { BrotliBitReaderSaveState(br, &memento); if (!SafeReadSymbol(distance_tree, br, &code)) { return BROTLI_FALSE; } } --s->block_length[2]; /* Convert the distance code to the actual distance by possibly looking up past distances from the s->dist_rb. */ s->distance_context = 0; if ((code & ~0xFu) == 0) { s->distance_code = (int)code; TakeDistanceFromRingBuffer(s); return BROTLI_TRUE; } if (!safe) { bits = BrotliReadBits32(br, b->dist_extra_bits[code]); } else { if (!SafeReadBits32(br, b->dist_extra_bits[code], &bits)) { ++s->block_length[2]; BrotliBitReaderRestoreState(br, &memento); return BROTLI_FALSE; } } s->distance_code = (int)(b->dist_offset[code] + (bits << s->distance_postfix_bits)); return BROTLI_TRUE; } static BROTLI_INLINE void ReadDistance( BrotliDecoderState* s, BrotliBitReader* br) { ReadDistanceInternal(0, s, br); } static BROTLI_INLINE BROTLI_BOOL SafeReadDistance( BrotliDecoderState* s, BrotliBitReader* br) { return ReadDistanceInternal(1, s, br); } static BROTLI_INLINE BROTLI_BOOL ReadCommandInternal( int safe, BrotliDecoderState* s, BrotliBitReader* br, int* insert_length) { brotli_reg_t cmd_code; brotli_reg_t insert_len_extra = 0; brotli_reg_t copy_length; CmdLutElement v; BrotliBitReaderState memento; if (!safe) { cmd_code = ReadSymbol(s->htree_command, br); } else { BrotliBitReaderSaveState(br, &memento); if (!SafeReadSymbol(s->htree_command, br, &cmd_code)) { return BROTLI_FALSE; } } v = kCmdLut[cmd_code]; s->distance_code = v.distance_code; s->distance_context = v.context; s->dist_htree_index = s->dist_context_map_slice[s->distance_context]; *insert_length = v.insert_len_offset; if (!safe) { if (BROTLI_PREDICT_FALSE(v.insert_len_extra_bits != 0)) { insert_len_extra = BrotliReadBits24(br, v.insert_len_extra_bits); } copy_length = BrotliReadBits24(br, v.copy_len_extra_bits); } else { if (!SafeReadBits(br, v.insert_len_extra_bits, &insert_len_extra) || !SafeReadBits(br, v.copy_len_extra_bits, ©_length)) { BrotliBitReaderRestoreState(br, &memento); return BROTLI_FALSE; } } s->copy_length = (int)copy_length + v.copy_len_offset; --s->block_length[1]; *insert_length += (int)insert_len_extra; return BROTLI_TRUE; } static BROTLI_INLINE void ReadCommand( BrotliDecoderState* s, BrotliBitReader* br, int* insert_length) { ReadCommandInternal(0, s, br, insert_length); } static BROTLI_INLINE BROTLI_BOOL SafeReadCommand( BrotliDecoderState* s, BrotliBitReader* br, int* insert_length) { return ReadCommandInternal(1, s, br, insert_length); } static BROTLI_INLINE BROTLI_BOOL CheckInputAmount( int safe, BrotliBitReader* const br) { if (safe) { return BROTLI_TRUE; } return BrotliCheckInputAmount(br); } #define BROTLI_SAFE(METHOD) \ { \ if (safe) { \ if (!Safe##METHOD) { \ result = BROTLI_DECODER_NEEDS_MORE_INPUT; \ goto saveStateAndReturn; \ } \ } else { \ METHOD; \ } \ } static BROTLI_INLINE BrotliDecoderErrorCode ProcessCommandsInternal( int safe, BrotliDecoderState* s) { int pos = s->pos; int i = s->loop_counter; BrotliDecoderErrorCode result = BROTLI_DECODER_SUCCESS; BrotliBitReader* br = &s->br; int compound_dictionary_size = GetCompoundDictionarySize(s); if (!CheckInputAmount(safe, br)) { result = BROTLI_DECODER_NEEDS_MORE_INPUT; goto saveStateAndReturn; } if (!safe) { BROTLI_UNUSED(BrotliWarmupBitReader(br)); } /* Jump into state machine. */ if (s->state == BROTLI_STATE_COMMAND_BEGIN) { goto CommandBegin; } else if (s->state == BROTLI_STATE_COMMAND_INNER) { goto CommandInner; } else if (s->state == BROTLI_STATE_COMMAND_POST_DECODE_LITERALS) { goto CommandPostDecodeLiterals; } else if (s->state == BROTLI_STATE_COMMAND_POST_WRAP_COPY) { goto CommandPostWrapCopy; } else { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_UNREACHABLE); /* COV_NF_LINE */ } CommandBegin: if (safe) { s->state = BROTLI_STATE_COMMAND_BEGIN; } if (!CheckInputAmount(safe, br)) { s->state = BROTLI_STATE_COMMAND_BEGIN; result = BROTLI_DECODER_NEEDS_MORE_INPUT; goto saveStateAndReturn; } if (BROTLI_PREDICT_FALSE(s->block_length[1] == 0)) { BROTLI_SAFE(DecodeCommandBlockSwitch(s)); goto CommandBegin; } /* Read the insert/copy length in the command. */ BROTLI_SAFE(ReadCommand(s, br, &i)); BROTLI_LOG(("[ProcessCommandsInternal] pos = %d insert = %d copy = %d\n", pos, i, s->copy_length)); if (i == 0) { goto CommandPostDecodeLiterals; } s->meta_block_remaining_len -= i; CommandInner: if (safe) { s->state = BROTLI_STATE_COMMAND_INNER; } /* Read the literals in the command. */ if (s->trivial_literal_context) { brotli_reg_t bits; brotli_reg_t value; PreloadSymbol(safe, s->literal_htree, br, &bits, &value); do { if (!CheckInputAmount(safe, br)) { s->state = BROTLI_STATE_COMMAND_INNER; result = BROTLI_DECODER_NEEDS_MORE_INPUT; goto saveStateAndReturn; } if (BROTLI_PREDICT_FALSE(s->block_length[0] == 0)) { goto NextLiteralBlock; } if (!safe) { s->ringbuffer[pos] = (uint8_t)ReadPreloadedSymbol(s->literal_htree, br, &bits, &value); } else { brotli_reg_t literal; if (!SafeReadSymbol(s->literal_htree, br, &literal)) { result = BROTLI_DECODER_NEEDS_MORE_INPUT; goto saveStateAndReturn; } s->ringbuffer[pos] = (uint8_t)literal; } --s->block_length[0]; BROTLI_LOG_ARRAY_INDEX(s->ringbuffer, pos); ++pos; if (BROTLI_PREDICT_FALSE(pos == s->ringbuffer_size)) { s->state = BROTLI_STATE_COMMAND_INNER_WRITE; --i; goto saveStateAndReturn; } } while (--i != 0); } else { uint8_t p1 = s->ringbuffer[(pos - 1) & s->ringbuffer_mask]; uint8_t p2 = s->ringbuffer[(pos - 2) & s->ringbuffer_mask]; do { const HuffmanCode* hc; uint8_t context; if (!CheckInputAmount(safe, br)) { s->state = BROTLI_STATE_COMMAND_INNER; result = BROTLI_DECODER_NEEDS_MORE_INPUT; goto saveStateAndReturn; } if (BROTLI_PREDICT_FALSE(s->block_length[0] == 0)) { goto NextLiteralBlock; } context = BROTLI_CONTEXT(p1, p2, s->context_lookup); BROTLI_LOG_UINT(context); hc = s->literal_hgroup.htrees[s->context_map_slice[context]]; p2 = p1; if (!safe) { p1 = (uint8_t)ReadSymbol(hc, br); } else { brotli_reg_t literal; if (!SafeReadSymbol(hc, br, &literal)) { result = BROTLI_DECODER_NEEDS_MORE_INPUT; goto saveStateAndReturn; } p1 = (uint8_t)literal; } s->ringbuffer[pos] = p1; --s->block_length[0]; BROTLI_LOG_UINT(s->context_map_slice[context]); BROTLI_LOG_ARRAY_INDEX(s->ringbuffer, pos & s->ringbuffer_mask); ++pos; if (BROTLI_PREDICT_FALSE(pos == s->ringbuffer_size)) { s->state = BROTLI_STATE_COMMAND_INNER_WRITE; --i; goto saveStateAndReturn; } } while (--i != 0); } BROTLI_LOG_UINT(s->meta_block_remaining_len); if (BROTLI_PREDICT_FALSE(s->meta_block_remaining_len <= 0)) { s->state = BROTLI_STATE_METABLOCK_DONE; goto saveStateAndReturn; } CommandPostDecodeLiterals: if (safe) { s->state = BROTLI_STATE_COMMAND_POST_DECODE_LITERALS; } if (s->distance_code >= 0) { /* Implicit distance case. */ s->distance_context = s->distance_code ? 0 : 1; --s->dist_rb_idx; s->distance_code = s->dist_rb[s->dist_rb_idx & 3]; } else { /* Read distance code in the command, unless it was implicitly zero. */ if (BROTLI_PREDICT_FALSE(s->block_length[2] == 0)) { BROTLI_SAFE(DecodeDistanceBlockSwitch(s)); } BROTLI_SAFE(ReadDistance(s, br)); } BROTLI_LOG(("[ProcessCommandsInternal] pos = %d distance = %d\n", pos, s->distance_code)); if (s->max_distance != s->max_backward_distance) { s->max_distance = (pos < s->max_backward_distance) ? pos : s->max_backward_distance; } i = s->copy_length; /* Apply copy of LZ77 back-reference, or static dictionary reference if the distance is larger than the max LZ77 distance */ if (s->distance_code > s->max_distance) { /* The maximum allowed distance is BROTLI_MAX_ALLOWED_DISTANCE = 0x7FFFFFFC. With this choice, no signed overflow can occur after decoding a special distance code (e.g., after adding 3 to the last distance). */ if (s->distance_code > BROTLI_MAX_ALLOWED_DISTANCE) { BROTLI_LOG(("Invalid backward reference. pos: %d distance: %d " "len: %d bytes left: %d\n", pos, s->distance_code, i, s->meta_block_remaining_len)); return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_DISTANCE); } if (s->distance_code - s->max_distance - 1 < compound_dictionary_size) { int address = compound_dictionary_size - (s->distance_code - s->max_distance); if (!InitializeCompoundDictionaryCopy(s, address, i)) { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_COMPOUND_DICTIONARY); } pos += CopyFromCompoundDictionary(s, pos); if (pos >= s->ringbuffer_size) { s->state = BROTLI_STATE_COMMAND_POST_WRITE_1; goto saveStateAndReturn; } } else if (i >= SHARED_BROTLI_MIN_DICTIONARY_WORD_LENGTH && i <= SHARED_BROTLI_MAX_DICTIONARY_WORD_LENGTH) { uint8_t p1 = s->ringbuffer[(pos - 1) & s->ringbuffer_mask]; uint8_t p2 = s->ringbuffer[(pos - 2) & s->ringbuffer_mask]; uint8_t dict_id = s->dictionary->context_based ? s->dictionary->context_map[BROTLI_CONTEXT(p1, p2, s->context_lookup)] : 0; const BrotliDictionary* words = s->dictionary->words[dict_id]; const BrotliTransforms* transforms = s->dictionary->transforms[dict_id]; int offset = (int)words->offsets_by_length[i]; brotli_reg_t shift = words->size_bits_by_length[i]; int address = s->distance_code - s->max_distance - 1 - compound_dictionary_size; int mask = (int)BitMask(shift); int word_idx = address & mask; int transform_idx = address >> shift; /* Compensate double distance-ring-buffer roll. */ s->dist_rb_idx += s->distance_context; offset += word_idx * i; /* If the distance is out of bound, select a next static dictionary if there exist multiple. */ if ((transform_idx >= (int)transforms->num_transforms || words->size_bits_by_length[i] == 0) && s->dictionary->num_dictionaries > 1) { uint8_t dict_id2; int dist_remaining = address - (int)(((1u << shift) & ~1u)) * (int)transforms->num_transforms; for (dict_id2 = 0; dict_id2 < s->dictionary->num_dictionaries; dict_id2++) { const BrotliDictionary* words2 = s->dictionary->words[dict_id2]; if (dict_id2 != dict_id && words2->size_bits_by_length[i] != 0) { const BrotliTransforms* transforms2 = s->dictionary->transforms[dict_id2]; brotli_reg_t shift2 = words2->size_bits_by_length[i]; int num = (int)((1u << shift2) & ~1u) * (int)transforms2->num_transforms; if (dist_remaining < num) { dict_id = dict_id2; words = words2; transforms = transforms2; address = dist_remaining; shift = shift2; mask = (int)BitMask(shift); word_idx = address & mask; transform_idx = address >> shift; offset = (int)words->offsets_by_length[i] + word_idx * i; break; } dist_remaining -= num; } } } if (BROTLI_PREDICT_FALSE(words->size_bits_by_length[i] == 0)) { BROTLI_LOG(("Invalid backward reference. pos: %d distance: %d " "len: %d bytes left: %d\n", pos, s->distance_code, i, s->meta_block_remaining_len)); return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_DICTIONARY); } if (BROTLI_PREDICT_FALSE(!words->data)) { return BROTLI_FAILURE(BROTLI_DECODER_ERROR_DICTIONARY_NOT_SET); } if (transform_idx < (int)transforms->num_transforms) { const uint8_t* word = &words->data[offset]; int len = i; if (transform_idx == transforms->cutOffTransforms[0]) { memcpy(&s->ringbuffer[pos], word, (size_t)len); BROTLI_LOG(("[ProcessCommandsInternal] dictionary word: [%.*s]\n", len, word)); } else { len = BrotliTransformDictionaryWord(&s->ringbuffer[pos], word, len, transforms, transform_idx); BROTLI_LOG(("[ProcessCommandsInternal] dictionary word: [%.*s]," " transform_idx = %d, transformed: [%.*s]\n", i, word, transform_idx, len, &s->ringbuffer[pos])); if (len == 0 && s->distance_code <= 120) { BROTLI_LOG(("Invalid length-0 dictionary word after transform\n")); return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_TRANSFORM); } } pos += len; s->meta_block_remaining_len -= len; if (pos >= s->ringbuffer_size) { s->state = BROTLI_STATE_COMMAND_POST_WRITE_1; goto saveStateAndReturn; } } else { BROTLI_LOG(("Invalid backward reference. pos: %d distance: %d " "len: %d bytes left: %d\n", pos, s->distance_code, i, s->meta_block_remaining_len)); return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_TRANSFORM); } } else { BROTLI_LOG(("Invalid backward reference. pos: %d distance: %d " "len: %d bytes left: %d\n", pos, s->distance_code, i, s->meta_block_remaining_len)); return BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_DICTIONARY); } } else { int src_start = (pos - s->distance_code) & s->ringbuffer_mask; uint8_t* copy_dst = &s->ringbuffer[pos]; uint8_t* copy_src = &s->ringbuffer[src_start]; int dst_end = pos + i; int src_end = src_start + i; /* Update the recent distances cache. */ s->dist_rb[s->dist_rb_idx & 3] = s->distance_code; ++s->dist_rb_idx; s->meta_block_remaining_len -= i; /* There are 32+ bytes of slack in the ring-buffer allocation. Also, we have 16 short codes, that make these 16 bytes irrelevant in the ring-buffer. Let's copy over them as a first guess. */ memmove16(copy_dst, copy_src); if (src_end > pos && dst_end > src_start) { /* Regions intersect. */ goto CommandPostWrapCopy; } if (dst_end >= s->ringbuffer_size || src_end >= s->ringbuffer_size) { /* At least one region wraps. */ goto CommandPostWrapCopy; } pos += i; if (i > 16) { if (i > 32) { memcpy(copy_dst + 16, copy_src + 16, (size_t)(i - 16)); } else { /* This branch covers about 45% cases. Fixed size short copy allows more compiler optimizations. */ memmove16(copy_dst + 16, copy_src + 16); } } } BROTLI_LOG_UINT(s->meta_block_remaining_len); if (s->meta_block_remaining_len <= 0) { /* Next metablock, if any. */ s->state = BROTLI_STATE_METABLOCK_DONE; goto saveStateAndReturn; } else { goto CommandBegin; } CommandPostWrapCopy: { int wrap_guard = s->ringbuffer_size - pos; while (--i >= 0) { s->ringbuffer[pos] = s->ringbuffer[(pos - s->distance_code) & s->ringbuffer_mask]; ++pos; if (BROTLI_PREDICT_FALSE(--wrap_guard == 0)) { s->state = BROTLI_STATE_COMMAND_POST_WRITE_2; goto saveStateAndReturn; } } } if (s->meta_block_remaining_len <= 0) { /* Next metablock, if any. */ s->state = BROTLI_STATE_METABLOCK_DONE; goto saveStateAndReturn; } else { goto CommandBegin; } NextLiteralBlock: BROTLI_SAFE(DecodeLiteralBlockSwitch(s)); goto CommandInner; saveStateAndReturn: s->pos = pos; s->loop_counter = i; return result; } #undef BROTLI_SAFE static BROTLI_NOINLINE BrotliDecoderErrorCode ProcessCommands( BrotliDecoderState* s) { return ProcessCommandsInternal(0, s); } static BROTLI_NOINLINE BrotliDecoderErrorCode SafeProcessCommands( BrotliDecoderState* s) { return ProcessCommandsInternal(1, s); } BrotliDecoderResult BrotliDecoderDecompress( size_t encoded_size, const uint8_t encoded_buffer[BROTLI_ARRAY_PARAM(encoded_size)], size_t* decoded_size, uint8_t decoded_buffer[BROTLI_ARRAY_PARAM(*decoded_size)]) { BrotliDecoderState s; BrotliDecoderResult result; size_t total_out = 0; size_t available_in = encoded_size; const uint8_t* next_in = encoded_buffer; size_t available_out = *decoded_size; uint8_t* next_out = decoded_buffer; if (!BrotliDecoderStateInit(&s, 0, 0, 0)) { return BROTLI_DECODER_RESULT_ERROR; } result = BrotliDecoderDecompressStream( &s, &available_in, &next_in, &available_out, &next_out, &total_out); *decoded_size = total_out; BrotliDecoderStateCleanup(&s); if (result != BROTLI_DECODER_RESULT_SUCCESS) { result = BROTLI_DECODER_RESULT_ERROR; } return result; } /* Invariant: input stream is never overconsumed: - invalid input implies that the whole stream is invalid -> any amount of input could be read and discarded - when result is "needs more input", then at least one more byte is REQUIRED to complete decoding; all input data MUST be consumed by decoder, so client could swap the input buffer - when result is "needs more output" decoder MUST ensure that it doesn't hold more than 7 bits in bit reader; this saves client from swapping input buffer ahead of time - when result is "success" decoder MUST return all unused data back to input buffer; this is possible because the invariant is held on enter */ BrotliDecoderResult BrotliDecoderDecompressStream( BrotliDecoderState* s, size_t* available_in, const uint8_t** next_in, size_t* available_out, uint8_t** next_out, size_t* total_out) { BrotliDecoderErrorCode result = BROTLI_DECODER_SUCCESS; BrotliBitReader* br = &s->br; size_t input_size = *available_in; #define BROTLI_SAVE_ERROR_CODE(code) \ SaveErrorCode(s, (code), input_size - *available_in) /* Ensure that |total_out| is set, even if no data will ever be pushed out. */ if (total_out) { *total_out = s->partial_pos_out; } /* Do not try to process further in a case of unrecoverable error. */ if ((int)s->error_code < 0) { return BROTLI_DECODER_RESULT_ERROR; } if (*available_out && (!next_out || !*next_out)) { return BROTLI_SAVE_ERROR_CODE( BROTLI_FAILURE(BROTLI_DECODER_ERROR_INVALID_ARGUMENTS)); } if (!*available_out) next_out = 0; if (s->buffer_length == 0) { /* Just connect bit reader to input stream. */ BrotliBitReaderSetInput(br, *next_in, *available_in); } else { /* At least one byte of input is required. More than one byte of input may be required to complete the transaction -> reading more data must be done in a loop -> do it in a main loop. */ result = BROTLI_DECODER_NEEDS_MORE_INPUT; BrotliBitReaderSetInput(br, &s->buffer.u8[0], s->buffer_length); } /* State machine */ for (;;) { if (result != BROTLI_DECODER_SUCCESS) { /* Error, needs more input/output. */ if (result == BROTLI_DECODER_NEEDS_MORE_INPUT) { if (s->ringbuffer != 0) { /* Pro-actively push output. */ BrotliDecoderErrorCode intermediate_result = WriteRingBuffer(s, available_out, next_out, total_out, BROTLI_TRUE); /* WriteRingBuffer checks s->meta_block_remaining_len validity. */ if ((int)intermediate_result < 0) { result = intermediate_result; break; } } if (s->buffer_length != 0) { /* Used with internal buffer. */ if (br->next_in == br->last_in) { /* Successfully finished read transaction. Accumulator contains less than 8 bits, because internal buffer is expanded byte-by-byte until it is enough to complete read. */ s->buffer_length = 0; /* Switch to input stream and restart. */ result = BROTLI_DECODER_SUCCESS; BrotliBitReaderSetInput(br, *next_in, *available_in); continue; } else if (*available_in != 0) { /* Not enough data in buffer, but can take one more byte from input stream. */ result = BROTLI_DECODER_SUCCESS; BROTLI_DCHECK(s->buffer_length < 8); s->buffer.u8[s->buffer_length] = **next_in; s->buffer_length++; BrotliBitReaderSetInput(br, &s->buffer.u8[0], s->buffer_length); (*next_in)++; (*available_in)--; /* Retry with more data in buffer. */ continue; } /* Can't finish reading and no more input. */ break; } else { /* Input stream doesn't contain enough input. */ /* Copy tail to internal buffer and return. */ *next_in = br->next_in; *available_in = BrotliBitReaderGetAvailIn(br); while (*available_in) { s->buffer.u8[s->buffer_length] = **next_in; s->buffer_length++; (*next_in)++; (*available_in)--; } break; } /* Unreachable. */ } /* Fail or needs more output. */ if (s->buffer_length != 0) { /* Just consumed the buffered input and produced some output. Otherwise it would result in "needs more input". Reset internal buffer. */ s->buffer_length = 0; } else { /* Using input stream in last iteration. When decoder switches to input stream it has less than 8 bits in accumulator, so it is safe to return unused accumulator bits there. */ BrotliBitReaderUnload(br); *available_in = BrotliBitReaderGetAvailIn(br); *next_in = br->next_in; } break; } switch (s->state) { case BROTLI_STATE_UNINITED: /* Prepare to the first read. */ if (!BrotliWarmupBitReader(br)) { result = BROTLI_DECODER_NEEDS_MORE_INPUT; break; } /* Decode window size. */ result = DecodeWindowBits(s, br); /* Reads 1..8 bits. */ if (result != BROTLI_DECODER_SUCCESS) { break; } if (s->large_window) { s->state = BROTLI_STATE_LARGE_WINDOW_BITS; break; } s->state = BROTLI_STATE_INITIALIZE; break; case BROTLI_STATE_LARGE_WINDOW_BITS: { brotli_reg_t bits; if (!BrotliSafeReadBits(br, 6, &bits)) { result = BROTLI_DECODER_NEEDS_MORE_INPUT; break; } s->window_bits = bits & 63u; if (s->window_bits < BROTLI_LARGE_MIN_WBITS || s->window_bits > BROTLI_LARGE_MAX_WBITS) { result = BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_WINDOW_BITS); break; } s->state = BROTLI_STATE_INITIALIZE; } /* Fall through. */ case BROTLI_STATE_INITIALIZE: BROTLI_LOG_UINT(s->window_bits); /* Maximum distance, see section 9.1. of the spec. */ s->max_backward_distance = (1 << s->window_bits) - BROTLI_WINDOW_GAP; /* Allocate memory for both block_type_trees and block_len_trees. */ s->block_type_trees = (HuffmanCode*)BROTLI_DECODER_ALLOC(s, sizeof(HuffmanCode) * 3 * (BROTLI_HUFFMAN_MAX_SIZE_258 + BROTLI_HUFFMAN_MAX_SIZE_26)); if (s->block_type_trees == 0) { result = BROTLI_FAILURE(BROTLI_DECODER_ERROR_ALLOC_BLOCK_TYPE_TREES); break; } s->block_len_trees = s->block_type_trees + 3 * BROTLI_HUFFMAN_MAX_SIZE_258; s->state = BROTLI_STATE_METABLOCK_BEGIN; /* Fall through. */ case BROTLI_STATE_METABLOCK_BEGIN: BrotliDecoderStateMetablockBegin(s); BROTLI_LOG_UINT(s->pos); s->state = BROTLI_STATE_METABLOCK_HEADER; /* Fall through. */ case BROTLI_STATE_METABLOCK_HEADER: result = DecodeMetaBlockLength(s, br); /* Reads 2 - 31 bits. */ if (result != BROTLI_DECODER_SUCCESS) { break; } BROTLI_LOG_UINT(s->is_last_metablock); BROTLI_LOG_UINT(s->meta_block_remaining_len); BROTLI_LOG_UINT(s->is_metadata); BROTLI_LOG_UINT(s->is_uncompressed); if (s->is_metadata || s->is_uncompressed) { if (!BrotliJumpToByteBoundary(br)) { result = BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_PADDING_1); break; } } if (s->is_metadata) { s->state = BROTLI_STATE_METADATA; if (s->metadata_start_func) { s->metadata_start_func(s->metadata_callback_opaque, (size_t)s->meta_block_remaining_len); } break; } if (s->meta_block_remaining_len == 0) { s->state = BROTLI_STATE_METABLOCK_DONE; break; } BrotliCalculateRingBufferSize(s); if (s->is_uncompressed) { s->state = BROTLI_STATE_UNCOMPRESSED; break; } s->state = BROTLI_STATE_BEFORE_COMPRESSED_METABLOCK_HEADER; /* Fall through. */ case BROTLI_STATE_BEFORE_COMPRESSED_METABLOCK_HEADER: { BrotliMetablockHeaderArena* h = &s->arena.header; s->loop_counter = 0; /* Initialize compressed metablock header arena. */ h->sub_loop_counter = 0; /* Make small negative indexes addressable. */ h->symbol_lists = &h->symbols_lists_array[BROTLI_HUFFMAN_MAX_CODE_LENGTH + 1]; h->substate_huffman = BROTLI_STATE_HUFFMAN_NONE; h->substate_tree_group = BROTLI_STATE_TREE_GROUP_NONE; h->substate_context_map = BROTLI_STATE_CONTEXT_MAP_NONE; s->state = BROTLI_STATE_HUFFMAN_CODE_0; } /* Fall through. */ case BROTLI_STATE_HUFFMAN_CODE_0: if (s->loop_counter >= 3) { s->state = BROTLI_STATE_METABLOCK_HEADER_2; break; } /* Reads 1..11 bits. */ result = DecodeVarLenUint8(s, br, &s->num_block_types[s->loop_counter]); if (result != BROTLI_DECODER_SUCCESS) { break; } s->num_block_types[s->loop_counter]++; BROTLI_LOG_UINT(s->num_block_types[s->loop_counter]); if (s->num_block_types[s->loop_counter] < 2) { s->loop_counter++; break; } s->state = BROTLI_STATE_HUFFMAN_CODE_1; /* Fall through. */ case BROTLI_STATE_HUFFMAN_CODE_1: { brotli_reg_t alphabet_size = s->num_block_types[s->loop_counter] + 2; int tree_offset = s->loop_counter * BROTLI_HUFFMAN_MAX_SIZE_258; result = ReadHuffmanCode(alphabet_size, alphabet_size, &s->block_type_trees[tree_offset], NULL, s); if (result != BROTLI_DECODER_SUCCESS) break; s->state = BROTLI_STATE_HUFFMAN_CODE_2; } /* Fall through. */ case BROTLI_STATE_HUFFMAN_CODE_2: { brotli_reg_t alphabet_size = BROTLI_NUM_BLOCK_LEN_SYMBOLS; int tree_offset = s->loop_counter * BROTLI_HUFFMAN_MAX_SIZE_26; result = ReadHuffmanCode(alphabet_size, alphabet_size, &s->block_len_trees[tree_offset], NULL, s); if (result != BROTLI_DECODER_SUCCESS) break; s->state = BROTLI_STATE_HUFFMAN_CODE_3; } /* Fall through. */ case BROTLI_STATE_HUFFMAN_CODE_3: { int tree_offset = s->loop_counter * BROTLI_HUFFMAN_MAX_SIZE_26; if (!SafeReadBlockLength(s, &s->block_length[s->loop_counter], &s->block_len_trees[tree_offset], br)) { result = BROTLI_DECODER_NEEDS_MORE_INPUT; break; } BROTLI_LOG_UINT(s->block_length[s->loop_counter]); s->loop_counter++; s->state = BROTLI_STATE_HUFFMAN_CODE_0; break; } case BROTLI_STATE_UNCOMPRESSED: { result = CopyUncompressedBlockToOutput( available_out, next_out, total_out, s); if (result != BROTLI_DECODER_SUCCESS) { break; } s->state = BROTLI_STATE_METABLOCK_DONE; break; } case BROTLI_STATE_METADATA: result = SkipMetadataBlock(s); if (result != BROTLI_DECODER_SUCCESS) { break; } s->state = BROTLI_STATE_METABLOCK_DONE; break; case BROTLI_STATE_METABLOCK_HEADER_2: { brotli_reg_t bits; if (!BrotliSafeReadBits(br, 6, &bits)) { result = BROTLI_DECODER_NEEDS_MORE_INPUT; break; } s->distance_postfix_bits = bits & BitMask(2); bits >>= 2; s->num_direct_distance_codes = bits << s->distance_postfix_bits; BROTLI_LOG_UINT(s->num_direct_distance_codes); BROTLI_LOG_UINT(s->distance_postfix_bits); s->context_modes = (uint8_t*)BROTLI_DECODER_ALLOC(s, (size_t)s->num_block_types[0]); if (s->context_modes == 0) { result = BROTLI_FAILURE(BROTLI_DECODER_ERROR_ALLOC_CONTEXT_MODES); break; } s->loop_counter = 0; s->state = BROTLI_STATE_CONTEXT_MODES; } /* Fall through. */ case BROTLI_STATE_CONTEXT_MODES: result = ReadContextModes(s); if (result != BROTLI_DECODER_SUCCESS) { break; } s->state = BROTLI_STATE_CONTEXT_MAP_1; /* Fall through. */ case BROTLI_STATE_CONTEXT_MAP_1: result = DecodeContextMap( s->num_block_types[0] << BROTLI_LITERAL_CONTEXT_BITS, &s->num_literal_htrees, &s->context_map, s); if (result != BROTLI_DECODER_SUCCESS) { break; } DetectTrivialLiteralBlockTypes(s); s->state = BROTLI_STATE_CONTEXT_MAP_2; /* Fall through. */ case BROTLI_STATE_CONTEXT_MAP_2: { brotli_reg_t npostfix = s->distance_postfix_bits; brotli_reg_t ndirect = s->num_direct_distance_codes; brotli_reg_t distance_alphabet_size_max = BROTLI_DISTANCE_ALPHABET_SIZE( npostfix, ndirect, BROTLI_MAX_DISTANCE_BITS); brotli_reg_t distance_alphabet_size_limit = distance_alphabet_size_max; BROTLI_BOOL allocation_success = BROTLI_TRUE; if (s->large_window) { BrotliDistanceCodeLimit limit = BrotliCalculateDistanceCodeLimit( BROTLI_MAX_ALLOWED_DISTANCE, (uint32_t)npostfix, (uint32_t)ndirect); distance_alphabet_size_max = BROTLI_DISTANCE_ALPHABET_SIZE( npostfix, ndirect, BROTLI_LARGE_MAX_DISTANCE_BITS); distance_alphabet_size_limit = limit.max_alphabet_size; } result = DecodeContextMap( s->num_block_types[2] << BROTLI_DISTANCE_CONTEXT_BITS, &s->num_dist_htrees, &s->dist_context_map, s); if (result != BROTLI_DECODER_SUCCESS) { break; } allocation_success &= BrotliDecoderHuffmanTreeGroupInit( s, &s->literal_hgroup, BROTLI_NUM_LITERAL_SYMBOLS, BROTLI_NUM_LITERAL_SYMBOLS, s->num_literal_htrees); allocation_success &= BrotliDecoderHuffmanTreeGroupInit( s, &s->insert_copy_hgroup, BROTLI_NUM_COMMAND_SYMBOLS, BROTLI_NUM_COMMAND_SYMBOLS, s->num_block_types[1]); allocation_success &= BrotliDecoderHuffmanTreeGroupInit( s, &s->distance_hgroup, distance_alphabet_size_max, distance_alphabet_size_limit, s->num_dist_htrees); if (!allocation_success) { return BROTLI_SAVE_ERROR_CODE( BROTLI_FAILURE(BROTLI_DECODER_ERROR_ALLOC_TREE_GROUPS)); } s->loop_counter = 0; s->state = BROTLI_STATE_TREE_GROUP; } /* Fall through. */ case BROTLI_STATE_TREE_GROUP: { HuffmanTreeGroup* hgroup = NULL; switch (s->loop_counter) { case 0: hgroup = &s->literal_hgroup; break; case 1: hgroup = &s->insert_copy_hgroup; break; case 2: hgroup = &s->distance_hgroup; break; default: return BROTLI_SAVE_ERROR_CODE(BROTLI_FAILURE( BROTLI_DECODER_ERROR_UNREACHABLE)); /* COV_NF_LINE */ } result = HuffmanTreeGroupDecode(hgroup, s); if (result != BROTLI_DECODER_SUCCESS) break; s->loop_counter++; if (s->loop_counter < 3) { break; } s->state = BROTLI_STATE_BEFORE_COMPRESSED_METABLOCK_BODY; } /* Fall through. */ case BROTLI_STATE_BEFORE_COMPRESSED_METABLOCK_BODY: PrepareLiteralDecoding(s); s->dist_context_map_slice = s->dist_context_map; s->htree_command = s->insert_copy_hgroup.htrees[0]; if (!BrotliEnsureRingBuffer(s)) { result = BROTLI_FAILURE(BROTLI_DECODER_ERROR_ALLOC_RING_BUFFER_2); break; } CalculateDistanceLut(s); s->state = BROTLI_STATE_COMMAND_BEGIN; /* Fall through. */ case BROTLI_STATE_COMMAND_BEGIN: /* Fall through. */ case BROTLI_STATE_COMMAND_INNER: /* Fall through. */ case BROTLI_STATE_COMMAND_POST_DECODE_LITERALS: /* Fall through. */ case BROTLI_STATE_COMMAND_POST_WRAP_COPY: result = ProcessCommands(s); if (result == BROTLI_DECODER_NEEDS_MORE_INPUT) { result = SafeProcessCommands(s); } break; case BROTLI_STATE_COMMAND_INNER_WRITE: /* Fall through. */ case BROTLI_STATE_COMMAND_POST_WRITE_1: /* Fall through. */ case BROTLI_STATE_COMMAND_POST_WRITE_2: result = WriteRingBuffer( s, available_out, next_out, total_out, BROTLI_FALSE); if (result != BROTLI_DECODER_SUCCESS) { break; } WrapRingBuffer(s); if (s->ringbuffer_size == 1 << s->window_bits) { s->max_distance = s->max_backward_distance; } if (s->state == BROTLI_STATE_COMMAND_POST_WRITE_1) { BrotliDecoderCompoundDictionary* addon = s->compound_dictionary; if (addon && (addon->br_length != addon->br_copied)) { s->pos += CopyFromCompoundDictionary(s, s->pos); if (s->pos >= s->ringbuffer_size) continue; } if (s->meta_block_remaining_len == 0) { /* Next metablock, if any. */ s->state = BROTLI_STATE_METABLOCK_DONE; } else { s->state = BROTLI_STATE_COMMAND_BEGIN; } break; } else if (s->state == BROTLI_STATE_COMMAND_POST_WRITE_2) { s->state = BROTLI_STATE_COMMAND_POST_WRAP_COPY; } else { /* BROTLI_STATE_COMMAND_INNER_WRITE */ if (s->loop_counter == 0) { if (s->meta_block_remaining_len == 0) { s->state = BROTLI_STATE_METABLOCK_DONE; } else { s->state = BROTLI_STATE_COMMAND_POST_DECODE_LITERALS; } break; } s->state = BROTLI_STATE_COMMAND_INNER; } break; case BROTLI_STATE_METABLOCK_DONE: if (s->meta_block_remaining_len < 0) { result = BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_BLOCK_LENGTH_2); break; } BrotliDecoderStateCleanupAfterMetablock(s); if (!s->is_last_metablock) { s->state = BROTLI_STATE_METABLOCK_BEGIN; break; } if (!BrotliJumpToByteBoundary(br)) { result = BROTLI_FAILURE(BROTLI_DECODER_ERROR_FORMAT_PADDING_2); break; } if (s->buffer_length == 0) { BrotliBitReaderUnload(br); *available_in = BrotliBitReaderGetAvailIn(br); *next_in = br->next_in; } s->state = BROTLI_STATE_DONE; /* Fall through. */ case BROTLI_STATE_DONE: if (s->ringbuffer != 0) { result = WriteRingBuffer( s, available_out, next_out, total_out, BROTLI_TRUE); if (result != BROTLI_DECODER_SUCCESS) { break; } } return BROTLI_SAVE_ERROR_CODE(result); } } return BROTLI_SAVE_ERROR_CODE(result); #undef BROTLI_SAVE_ERROR_CODE } BROTLI_BOOL BrotliDecoderHasMoreOutput(const BrotliDecoderState* s) { /* After unrecoverable error remaining output is considered nonsensical. */ if ((int)s->error_code < 0) { return BROTLI_FALSE; } return TO_BROTLI_BOOL( s->ringbuffer != 0 && UnwrittenBytes(s, BROTLI_FALSE) != 0); } const uint8_t* BrotliDecoderTakeOutput(BrotliDecoderState* s, size_t* size) { uint8_t* result = 0; size_t available_out = *size ? *size : 1u << 24; size_t requested_out = available_out; BrotliDecoderErrorCode status; if ((s->ringbuffer == 0) || ((int)s->error_code < 0)) { *size = 0; return 0; } WrapRingBuffer(s); status = WriteRingBuffer(s, &available_out, &result, 0, BROTLI_TRUE); /* Either WriteRingBuffer returns those "success" codes... */ if (status == BROTLI_DECODER_SUCCESS || status == BROTLI_DECODER_NEEDS_MORE_OUTPUT) { *size = requested_out - available_out; } else { /* ... or stream is broken. Normally this should be caught by BrotliDecoderDecompressStream, this is just a safeguard. */ if ((int)status < 0) SaveErrorCode(s, status, 0); *size = 0; result = 0; } return result; } BROTLI_BOOL BrotliDecoderIsUsed(const BrotliDecoderState* s) { return TO_BROTLI_BOOL(s->state != BROTLI_STATE_UNINITED || BrotliGetAvailableBits(&s->br) != 0); } BROTLI_BOOL BrotliDecoderIsFinished(const BrotliDecoderState* s) { return TO_BROTLI_BOOL(s->state == BROTLI_STATE_DONE) && !BrotliDecoderHasMoreOutput(s); } BrotliDecoderErrorCode BrotliDecoderGetErrorCode(const BrotliDecoderState* s) { return (BrotliDecoderErrorCode)s->error_code; } const char* BrotliDecoderErrorString(BrotliDecoderErrorCode c) { switch (c) { #define BROTLI_ERROR_CODE_CASE_(PREFIX, NAME, CODE) \ case BROTLI_DECODER ## PREFIX ## NAME: return #PREFIX #NAME; #define BROTLI_NOTHING_ BROTLI_DECODER_ERROR_CODES_LIST(BROTLI_ERROR_CODE_CASE_, BROTLI_NOTHING_) #undef BROTLI_ERROR_CODE_CASE_ #undef BROTLI_NOTHING_ default: return "INVALID"; } } uint32_t BrotliDecoderVersion(void) { return BROTLI_VERSION; } void BrotliDecoderSetMetadataCallbacks( BrotliDecoderState* state, brotli_decoder_metadata_start_func start_func, brotli_decoder_metadata_chunk_func chunk_func, void* opaque) { state->metadata_start_func = start_func; state->metadata_chunk_func = chunk_func; state->metadata_callback_opaque = opaque; } /* Escalate internal functions visibility; for testing purposes only. */ #if defined(BROTLI_TEST) BROTLI_BOOL SafeReadSymbolForTest( const HuffmanCode*, BrotliBitReader*, brotli_reg_t*); BROTLI_BOOL SafeReadSymbolForTest( const HuffmanCode* table, BrotliBitReader* br, brotli_reg_t* result) { return SafeReadSymbol(table, br, result); } void InverseMoveToFrontTransformForTest( uint8_t*, brotli_reg_t, BrotliDecoderState*); void InverseMoveToFrontTransformForTest( uint8_t* v, brotli_reg_t l, BrotliDecoderState* s) { InverseMoveToFrontTransform(v, l, s); } #endif #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/dec/state.c0000644000175000017500000001303314606651213016760 0ustar timtim/* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ #include "state.h" #include /* free, malloc */ #include #include "../common/dictionary.h" #include "huffman.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif BROTLI_BOOL BrotliDecoderStateInit(BrotliDecoderState* s, brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque) { if (!alloc_func) { s->alloc_func = BrotliDefaultAllocFunc; s->free_func = BrotliDefaultFreeFunc; s->memory_manager_opaque = 0; } else { s->alloc_func = alloc_func; s->free_func = free_func; s->memory_manager_opaque = opaque; } s->error_code = 0; /* BROTLI_DECODER_NO_ERROR */ BrotliInitBitReader(&s->br); s->state = BROTLI_STATE_UNINITED; s->large_window = 0; s->substate_metablock_header = BROTLI_STATE_METABLOCK_HEADER_NONE; s->substate_uncompressed = BROTLI_STATE_UNCOMPRESSED_NONE; s->substate_decode_uint8 = BROTLI_STATE_DECODE_UINT8_NONE; s->substate_read_block_length = BROTLI_STATE_READ_BLOCK_LENGTH_NONE; s->buffer_length = 0; s->loop_counter = 0; s->pos = 0; s->rb_roundtrips = 0; s->partial_pos_out = 0; s->used_input = 0; s->block_type_trees = NULL; s->block_len_trees = NULL; s->ringbuffer = NULL; s->ringbuffer_size = 0; s->new_ringbuffer_size = 0; s->ringbuffer_mask = 0; s->context_map = NULL; s->context_modes = NULL; s->dist_context_map = NULL; s->context_map_slice = NULL; s->dist_context_map_slice = NULL; s->literal_hgroup.codes = NULL; s->literal_hgroup.htrees = NULL; s->insert_copy_hgroup.codes = NULL; s->insert_copy_hgroup.htrees = NULL; s->distance_hgroup.codes = NULL; s->distance_hgroup.htrees = NULL; s->is_last_metablock = 0; s->is_uncompressed = 0; s->is_metadata = 0; s->should_wrap_ringbuffer = 0; s->canny_ringbuffer_allocation = 1; s->window_bits = 0; s->max_distance = 0; s->dist_rb[0] = 16; s->dist_rb[1] = 15; s->dist_rb[2] = 11; s->dist_rb[3] = 4; s->dist_rb_idx = 0; s->block_type_trees = NULL; s->block_len_trees = NULL; s->mtf_upper_bound = 63; s->compound_dictionary = NULL; s->dictionary = BrotliSharedDictionaryCreateInstance(alloc_func, free_func, opaque); if (!s->dictionary) return BROTLI_FALSE; s->metadata_start_func = NULL; s->metadata_chunk_func = NULL; s->metadata_callback_opaque = 0; return BROTLI_TRUE; } void BrotliDecoderStateMetablockBegin(BrotliDecoderState* s) { s->meta_block_remaining_len = 0; s->block_length[0] = BROTLI_BLOCK_SIZE_CAP; s->block_length[1] = BROTLI_BLOCK_SIZE_CAP; s->block_length[2] = BROTLI_BLOCK_SIZE_CAP; s->num_block_types[0] = 1; s->num_block_types[1] = 1; s->num_block_types[2] = 1; s->block_type_rb[0] = 1; s->block_type_rb[1] = 0; s->block_type_rb[2] = 1; s->block_type_rb[3] = 0; s->block_type_rb[4] = 1; s->block_type_rb[5] = 0; s->context_map = NULL; s->context_modes = NULL; s->dist_context_map = NULL; s->context_map_slice = NULL; s->literal_htree = NULL; s->dist_context_map_slice = NULL; s->dist_htree_index = 0; s->context_lookup = NULL; s->literal_hgroup.codes = NULL; s->literal_hgroup.htrees = NULL; s->insert_copy_hgroup.codes = NULL; s->insert_copy_hgroup.htrees = NULL; s->distance_hgroup.codes = NULL; s->distance_hgroup.htrees = NULL; } void BrotliDecoderStateCleanupAfterMetablock(BrotliDecoderState* s) { BROTLI_DECODER_FREE(s, s->context_modes); BROTLI_DECODER_FREE(s, s->context_map); BROTLI_DECODER_FREE(s, s->dist_context_map); BROTLI_DECODER_FREE(s, s->literal_hgroup.htrees); BROTLI_DECODER_FREE(s, s->insert_copy_hgroup.htrees); BROTLI_DECODER_FREE(s, s->distance_hgroup.htrees); } #ifdef BROTLI_REPORTING /* When BROTLI_REPORTING is defined extra reporting module have to be linked. */ void BrotliDecoderOnFinish(const BrotliDecoderState* s); #define BROTLI_DECODER_ON_FINISH(s) BrotliDecoderOnFinish(s); #else #if !defined(BROTLI_DECODER_ON_FINISH) #define BROTLI_DECODER_ON_FINISH(s) (void)(s); #endif #endif void BrotliDecoderStateCleanup(BrotliDecoderState* s) { BrotliDecoderStateCleanupAfterMetablock(s); BROTLI_DECODER_ON_FINISH(s); BROTLI_DECODER_FREE(s, s->compound_dictionary); BrotliSharedDictionaryDestroyInstance(s->dictionary); s->dictionary = NULL; BROTLI_DECODER_FREE(s, s->ringbuffer); BROTLI_DECODER_FREE(s, s->block_type_trees); } BROTLI_BOOL BrotliDecoderHuffmanTreeGroupInit(BrotliDecoderState* s, HuffmanTreeGroup* group, brotli_reg_t alphabet_size_max, brotli_reg_t alphabet_size_limit, brotli_reg_t ntrees) { /* 376 = 256 (1-st level table) + 4 + 7 + 15 + 31 + 63 (2-nd level mix-tables) This number is discovered "unlimited" "enough" calculator; it is actually a wee bigger than required in several cases (especially for alphabets with less than 16 symbols). */ const size_t max_table_size = alphabet_size_limit + 376; const size_t code_size = sizeof(HuffmanCode) * ntrees * max_table_size; const size_t htree_size = sizeof(HuffmanCode*) * ntrees; /* Pointer alignment is, hopefully, wider than sizeof(HuffmanCode). */ HuffmanCode** p = (HuffmanCode**)BROTLI_DECODER_ALLOC(s, code_size + htree_size); group->alphabet_size_max = (uint16_t)alphabet_size_max; group->alphabet_size_limit = (uint16_t)alphabet_size_limit; group->num_htrees = (uint16_t)ntrees; group->htrees = p; group->codes = (HuffmanCode*)(&p[ntrees]); return !!p; } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/0000755000175000017500000000000014722655051015511 5ustar timtimIO-Compress-Brotli-0.019/brotli/c/enc/hash_composite_inc.h0000644000175000017500000001175114606651213021522 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2018 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: FN, HASHER_A, HASHER_B */ /* Composite hasher: This hasher allows to combine two other hashers, HASHER_A and HASHER_B. */ #define HashComposite HASHER() #define FN_A(X) EXPAND_CAT(X, HASHER_A) #define FN_B(X) EXPAND_CAT(X, HASHER_B) static BROTLI_INLINE size_t FN(HashTypeLength)(void) { size_t a = FN_A(HashTypeLength)(); size_t b = FN_B(HashTypeLength)(); return a > b ? a : b; } static BROTLI_INLINE size_t FN(StoreLookahead)(void) { size_t a = FN_A(StoreLookahead)(); size_t b = FN_B(StoreLookahead)(); return a > b ? a : b; } typedef struct HashComposite { HASHER_A ha; HASHER_B hb; HasherCommon ha_common; HasherCommon hb_common; /* Shortcuts. */ HasherCommon* common; BROTLI_BOOL fresh; const BrotliEncoderParams* params; } HashComposite; static void FN(Initialize)(HasherCommon* common, HashComposite* BROTLI_RESTRICT self, const BrotliEncoderParams* params) { self->common = common; self->ha_common = *self->common; self->hb_common = *self->common; self->fresh = BROTLI_TRUE; self->params = params; /* TODO(lode): Initialize of the hashers is deferred to Prepare (and params remembered here) because we don't get the one_shot and input_size params here that are needed to know the memory size of them. Instead provide those params to all hashers FN(Initialize) */ } static void FN(Prepare)( HashComposite* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, size_t input_size, const uint8_t* BROTLI_RESTRICT data) { if (self->fresh) { self->fresh = BROTLI_FALSE; self->ha_common.extra[0] = self->common->extra[0]; self->ha_common.extra[1] = self->common->extra[1]; self->ha_common.extra[2] = NULL; self->ha_common.extra[3] = NULL; self->hb_common.extra[0] = self->common->extra[2]; self->hb_common.extra[1] = self->common->extra[3]; self->hb_common.extra[2] = NULL; self->hb_common.extra[3] = NULL; FN_A(Initialize)(&self->ha_common, &self->ha, self->params); FN_B(Initialize)(&self->hb_common, &self->hb, self->params); } FN_A(Prepare)(&self->ha, one_shot, input_size, data); FN_B(Prepare)(&self->hb, one_shot, input_size, data); } static BROTLI_INLINE void FN(HashMemAllocInBytes)( const BrotliEncoderParams* params, BROTLI_BOOL one_shot, size_t input_size, size_t* alloc_size) { size_t alloc_size_a[4] = {0}; size_t alloc_size_b[4] = {0}; FN_A(HashMemAllocInBytes)(params, one_shot, input_size, alloc_size_a); FN_B(HashMemAllocInBytes)(params, one_shot, input_size, alloc_size_b); /* Should never happen. */ if (alloc_size_a[2] != 0 || alloc_size_a[3] != 0) exit(EXIT_FAILURE); if (alloc_size_b[2] != 0 || alloc_size_b[3] != 0) exit(EXIT_FAILURE); alloc_size[0] = alloc_size_a[0]; alloc_size[1] = alloc_size_a[1]; alloc_size[2] = alloc_size_b[0]; alloc_size[3] = alloc_size_b[1]; } static BROTLI_INLINE void FN(Store)(HashComposite* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix) { FN_A(Store)(&self->ha, data, mask, ix); FN_B(Store)(&self->hb, data, mask, ix); } static BROTLI_INLINE void FN(StoreRange)( HashComposite* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix_start, const size_t ix_end) { FN_A(StoreRange)(&self->ha, data, mask, ix_start, ix_end); FN_B(StoreRange)(&self->hb, data, mask, ix_start, ix_end); } static BROTLI_INLINE void FN(StitchToPreviousBlock)( HashComposite* BROTLI_RESTRICT self, size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ring_buffer_mask) { FN_A(StitchToPreviousBlock)(&self->ha, num_bytes, position, ringbuffer, ring_buffer_mask); FN_B(StitchToPreviousBlock)(&self->hb, num_bytes, position, ringbuffer, ring_buffer_mask); } static BROTLI_INLINE void FN(PrepareDistanceCache)( HashComposite* BROTLI_RESTRICT self, int* BROTLI_RESTRICT distance_cache) { FN_A(PrepareDistanceCache)(&self->ha, distance_cache); FN_B(PrepareDistanceCache)(&self->hb, distance_cache); } static BROTLI_INLINE void FN(FindLongestMatch)( HashComposite* BROTLI_RESTRICT self, const BrotliEncoderDictionary* dictionary, const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, const int* BROTLI_RESTRICT distance_cache, const size_t cur_ix, const size_t max_length, const size_t max_backward, const size_t dictionary_distance, const size_t max_distance, HasherSearchResult* BROTLI_RESTRICT out) { FN_A(FindLongestMatch)(&self->ha, dictionary, data, ring_buffer_mask, distance_cache, cur_ix, max_length, max_backward, dictionary_distance, max_distance, out); FN_B(FindLongestMatch)(&self->hb, dictionary, data, ring_buffer_mask, distance_cache, cur_ix, max_length, max_backward, dictionary_distance, max_distance, out); } #undef HashComposite IO-Compress-Brotli-0.019/brotli/c/enc/encode.c0000644000175000017500000022717514606651213017125 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Implementation of Brotli compressor. */ #include #include #include #include /* free, malloc */ #include /* memcpy, memset */ #include "../common/constants.h" #include "../common/context.h" #include "../common/platform.h" #include "../common/version.h" #include "backward_references.h" #include "backward_references_hq.h" #include "bit_cost.h" #include "brotli_bit_stream.h" #include "compress_fragment.h" #include "compress_fragment_two_pass.h" #include "dictionary_hash.h" #include "encoder_dict.h" #include "entropy_encode.h" #include "fast_log.h" #include "hash.h" #include "histogram.h" #include "memory.h" #include "metablock.h" #include "prefix.h" #include "state.h" #include "quality.h" #include "ringbuffer.h" #include "utf8_util.h" #include "write_bits.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #define COPY_ARRAY(dst, src) memcpy(dst, src, sizeof(src)); static size_t InputBlockSize(BrotliEncoderState* s) { return (size_t)1 << s->params.lgblock; } static uint64_t UnprocessedInputSize(BrotliEncoderState* s) { return s->input_pos_ - s->last_processed_pos_; } static size_t RemainingInputBlockSize(BrotliEncoderState* s) { const uint64_t delta = UnprocessedInputSize(s); size_t block_size = InputBlockSize(s); if (delta >= block_size) return 0; return block_size - (size_t)delta; } BROTLI_BOOL BrotliEncoderSetParameter( BrotliEncoderState* state, BrotliEncoderParameter p, uint32_t value) { /* Changing parameters on the fly is not implemented yet. */ if (state->is_initialized_) return BROTLI_FALSE; /* TODO(eustas): Validate/clamp parameters here. */ switch (p) { case BROTLI_PARAM_MODE: state->params.mode = (BrotliEncoderMode)value; return BROTLI_TRUE; case BROTLI_PARAM_QUALITY: state->params.quality = (int)value; return BROTLI_TRUE; case BROTLI_PARAM_LGWIN: state->params.lgwin = (int)value; return BROTLI_TRUE; case BROTLI_PARAM_LGBLOCK: state->params.lgblock = (int)value; return BROTLI_TRUE; case BROTLI_PARAM_DISABLE_LITERAL_CONTEXT_MODELING: if ((value != 0) && (value != 1)) return BROTLI_FALSE; state->params.disable_literal_context_modeling = TO_BROTLI_BOOL(!!value); return BROTLI_TRUE; case BROTLI_PARAM_SIZE_HINT: state->params.size_hint = value; return BROTLI_TRUE; case BROTLI_PARAM_LARGE_WINDOW: state->params.large_window = TO_BROTLI_BOOL(!!value); return BROTLI_TRUE; case BROTLI_PARAM_NPOSTFIX: state->params.dist.distance_postfix_bits = value; return BROTLI_TRUE; case BROTLI_PARAM_NDIRECT: state->params.dist.num_direct_distance_codes = value; return BROTLI_TRUE; case BROTLI_PARAM_STREAM_OFFSET: if (value > (1u << 30)) return BROTLI_FALSE; state->params.stream_offset = value; return BROTLI_TRUE; default: return BROTLI_FALSE; } } /* Wraps 64-bit input position to 32-bit ring-buffer position preserving "not-a-first-lap" feature. */ static uint32_t WrapPosition(uint64_t position) { uint32_t result = (uint32_t)position; uint64_t gb = position >> 30; if (gb > 2) { /* Wrap every 2GiB; The first 3GB are continuous. */ result = (result & ((1u << 30) - 1)) | ((uint32_t)((gb - 1) & 1) + 1) << 30; } return result; } static uint8_t* GetBrotliStorage(BrotliEncoderState* s, size_t size) { MemoryManager* m = &s->memory_manager_; if (s->storage_size_ < size) { BROTLI_FREE(m, s->storage_); s->storage_ = BROTLI_ALLOC(m, uint8_t, size); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(s->storage_)) return NULL; s->storage_size_ = size; } return s->storage_; } static size_t HashTableSize(size_t max_table_size, size_t input_size) { size_t htsize = 256; while (htsize < max_table_size && htsize < input_size) { htsize <<= 1; } return htsize; } static int* GetHashTable(BrotliEncoderState* s, int quality, size_t input_size, size_t* table_size) { /* Use smaller hash table when input.size() is smaller, since we fill the table, incurring O(hash table size) overhead for compression, and if the input is short, we won't need that many hash table entries anyway. */ MemoryManager* m = &s->memory_manager_; const size_t max_table_size = MaxHashTableSize(quality); size_t htsize = HashTableSize(max_table_size, input_size); int* table; BROTLI_DCHECK(max_table_size >= 256); if (quality == FAST_ONE_PASS_COMPRESSION_QUALITY) { /* Only odd shifts are supported by fast-one-pass. */ if ((htsize & 0xAAAAA) == 0) { htsize <<= 1; } } if (htsize <= sizeof(s->small_table_) / sizeof(s->small_table_[0])) { table = s->small_table_; } else { if (htsize > s->large_table_size_) { s->large_table_size_ = htsize; BROTLI_FREE(m, s->large_table_); s->large_table_ = BROTLI_ALLOC(m, int, htsize); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(s->large_table_)) return 0; } table = s->large_table_; } *table_size = htsize; memset(table, 0, htsize * sizeof(*table)); return table; } static void EncodeWindowBits(int lgwin, BROTLI_BOOL large_window, uint16_t* last_bytes, uint8_t* last_bytes_bits) { if (large_window) { *last_bytes = (uint16_t)(((lgwin & 0x3F) << 8) | 0x11); *last_bytes_bits = 14; } else { if (lgwin == 16) { *last_bytes = 0; *last_bytes_bits = 1; } else if (lgwin == 17) { *last_bytes = 1; *last_bytes_bits = 7; } else if (lgwin > 17) { *last_bytes = (uint16_t)(((lgwin - 17) << 1) | 0x01); *last_bytes_bits = 4; } else { *last_bytes = (uint16_t)(((lgwin - 8) << 4) | 0x01); *last_bytes_bits = 7; } } } /* TODO(eustas): move to compress_fragment.c? */ /* Initializes the command and distance prefix codes for the first block. */ static void InitCommandPrefixCodes(BrotliOnePassArena* s) { static const uint8_t kDefaultCommandDepths[128] = { 0, 4, 4, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 0, 0, 0, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 0, 4, 4, 5, 5, 5, 6, 6, 7, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, }; static const uint16_t kDefaultCommandBits[128] = { 0, 0, 8, 9, 3, 35, 7, 71, 39, 103, 23, 47, 175, 111, 239, 31, 0, 0, 0, 4, 12, 2, 10, 6, 13, 29, 11, 43, 27, 59, 87, 55, 15, 79, 319, 831, 191, 703, 447, 959, 0, 14, 1, 25, 5, 21, 19, 51, 119, 159, 95, 223, 479, 991, 63, 575, 127, 639, 383, 895, 255, 767, 511, 1023, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 59, 7, 39, 23, 55, 30, 1, 17, 9, 25, 5, 0, 8, 4, 12, 2, 10, 6, 21, 13, 29, 3, 19, 11, 15, 47, 31, 95, 63, 127, 255, 767, 2815, 1791, 3839, 511, 2559, 1535, 3583, 1023, 3071, 2047, 4095, }; static const uint8_t kDefaultCommandCode[] = { 0xff, 0x77, 0xd5, 0xbf, 0xe7, 0xde, 0xea, 0x9e, 0x51, 0x5d, 0xde, 0xc6, 0x70, 0x57, 0xbc, 0x58, 0x58, 0x58, 0xd8, 0xd8, 0x58, 0xd5, 0xcb, 0x8c, 0xea, 0xe0, 0xc3, 0x87, 0x1f, 0x83, 0xc1, 0x60, 0x1c, 0x67, 0xb2, 0xaa, 0x06, 0x83, 0xc1, 0x60, 0x30, 0x18, 0xcc, 0xa1, 0xce, 0x88, 0x54, 0x94, 0x46, 0xe1, 0xb0, 0xd0, 0x4e, 0xb2, 0xf7, 0x04, 0x00, }; static const size_t kDefaultCommandCodeNumBits = 448; COPY_ARRAY(s->cmd_depth, kDefaultCommandDepths); COPY_ARRAY(s->cmd_bits, kDefaultCommandBits); /* Initialize the pre-compressed form of the command and distance prefix codes. */ COPY_ARRAY(s->cmd_code, kDefaultCommandCode); s->cmd_code_numbits = kDefaultCommandCodeNumBits; } /* Decide about the context map based on the ability of the prediction ability of the previous byte UTF8-prefix on the next byte. The prediction ability is calculated as Shannon entropy. Here we need Shannon entropy instead of 'BitsEntropy' since the prefix will be encoded with the remaining 6 bits of the following byte, and BitsEntropy will assume that symbol to be stored alone using Huffman coding. */ static void ChooseContextMap(int quality, uint32_t* bigram_histo, size_t* num_literal_contexts, const uint32_t** literal_context_map) { static const uint32_t kStaticContextMapContinuation[64] = { 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, }; static const uint32_t kStaticContextMapSimpleUTF8[64] = { 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, }; uint32_t monogram_histo[3] = { 0 }; uint32_t two_prefix_histo[6] = { 0 }; size_t total; size_t i; size_t dummy; double entropy[4]; for (i = 0; i < 9; ++i) { monogram_histo[i % 3] += bigram_histo[i]; two_prefix_histo[i % 6] += bigram_histo[i]; } entropy[1] = ShannonEntropy(monogram_histo, 3, &dummy); entropy[2] = (ShannonEntropy(two_prefix_histo, 3, &dummy) + ShannonEntropy(two_prefix_histo + 3, 3, &dummy)); entropy[3] = 0; for (i = 0; i < 3; ++i) { entropy[3] += ShannonEntropy(bigram_histo + 3 * i, 3, &dummy); } total = monogram_histo[0] + monogram_histo[1] + monogram_histo[2]; BROTLI_DCHECK(total != 0); entropy[0] = 1.0 / (double)total; entropy[1] *= entropy[0]; entropy[2] *= entropy[0]; entropy[3] *= entropy[0]; if (quality < MIN_QUALITY_FOR_HQ_CONTEXT_MODELING) { /* 3 context models is a bit slower, don't use it at lower qualities. */ entropy[3] = entropy[1] * 10; } /* If expected savings by symbol are less than 0.2 bits, skip the context modeling -- in exchange for faster decoding speed. */ if (entropy[1] - entropy[2] < 0.2 && entropy[1] - entropy[3] < 0.2) { *num_literal_contexts = 1; } else if (entropy[2] - entropy[3] < 0.02) { *num_literal_contexts = 2; *literal_context_map = kStaticContextMapSimpleUTF8; } else { *num_literal_contexts = 3; *literal_context_map = kStaticContextMapContinuation; } } /* Decide if we want to use a more complex static context map containing 13 context values, based on the entropy reduction of histograms over the first 5 bits of literals. */ static BROTLI_BOOL ShouldUseComplexStaticContextMap(const uint8_t* input, size_t start_pos, size_t length, size_t mask, int quality, size_t size_hint, size_t* num_literal_contexts, const uint32_t** literal_context_map, uint32_t* arena) { static const uint32_t kStaticContextMapComplexUTF8[64] = { 11, 11, 12, 12, /* 0 special */ 0, 0, 0, 0, /* 4 lf */ 1, 1, 9, 9, /* 8 space */ 2, 2, 2, 2, /* !, first after space/lf and after something else. */ 1, 1, 1, 1, /* " */ 8, 3, 3, 3, /* % */ 1, 1, 1, 1, /* ({[ */ 2, 2, 2, 2, /* }]) */ 8, 4, 4, 4, /* :; */ 8, 7, 4, 4, /* . */ 8, 0, 0, 0, /* > */ 3, 3, 3, 3, /* [0..9] */ 5, 5, 10, 5, /* [A-Z] */ 5, 5, 10, 5, 6, 6, 6, 6, /* [a-z] */ 6, 6, 6, 6, }; BROTLI_UNUSED(quality); /* Try the more complex static context map only for long data. */ if (size_hint < (1 << 20)) { return BROTLI_FALSE; } else { const size_t end_pos = start_pos + length; /* To make entropy calculations faster, we collect histograms over the 5 most significant bits of literals. One histogram without context and 13 additional histograms for each context value. */ uint32_t* BROTLI_RESTRICT const combined_histo = arena; uint32_t* BROTLI_RESTRICT const context_histo = arena + 32; uint32_t total = 0; double entropy[3]; size_t dummy; size_t i; ContextLut utf8_lut = BROTLI_CONTEXT_LUT(CONTEXT_UTF8); memset(arena, 0, sizeof(arena[0]) * 32 * 14); for (; start_pos + 64 <= end_pos; start_pos += 4096) { const size_t stride_end_pos = start_pos + 64; uint8_t prev2 = input[start_pos & mask]; uint8_t prev1 = input[(start_pos + 1) & mask]; size_t pos; /* To make the analysis of the data faster we only examine 64 byte long strides at every 4kB intervals. */ for (pos = start_pos + 2; pos < stride_end_pos; ++pos) { const uint8_t literal = input[pos & mask]; const uint8_t context = (uint8_t)kStaticContextMapComplexUTF8[ BROTLI_CONTEXT(prev1, prev2, utf8_lut)]; ++total; ++combined_histo[literal >> 3]; ++context_histo[(context << 5) + (literal >> 3)]; prev2 = prev1; prev1 = literal; } } entropy[1] = ShannonEntropy(combined_histo, 32, &dummy); entropy[2] = 0; for (i = 0; i < 13; ++i) { entropy[2] += ShannonEntropy(context_histo + (i << 5), 32, &dummy); } entropy[0] = 1.0 / (double)total; entropy[1] *= entropy[0]; entropy[2] *= entropy[0]; /* The triggering heuristics below were tuned by compressing the individual files of the silesia corpus. If we skip this kind of context modeling for not very well compressible input (i.e. entropy using context modeling is 60% of maximal entropy) or if expected savings by symbol are less than 0.2 bits, then in every case when it triggers, the final compression ratio is improved. Note however that this heuristics might be too strict for some cases and could be tuned further. */ if (entropy[2] > 3.0 || entropy[1] - entropy[2] < 0.2) { return BROTLI_FALSE; } else { *num_literal_contexts = 13; *literal_context_map = kStaticContextMapComplexUTF8; return BROTLI_TRUE; } } } static void DecideOverLiteralContextModeling(const uint8_t* input, size_t start_pos, size_t length, size_t mask, int quality, size_t size_hint, size_t* num_literal_contexts, const uint32_t** literal_context_map, uint32_t* arena) { if (quality < MIN_QUALITY_FOR_CONTEXT_MODELING || length < 64) { return; } else if (ShouldUseComplexStaticContextMap( input, start_pos, length, mask, quality, size_hint, num_literal_contexts, literal_context_map, arena)) { /* Context map was already set, nothing else to do. */ } else { /* Gather bi-gram data of the UTF8 byte prefixes. To make the analysis of UTF8 data faster we only examine 64 byte long strides at every 4kB intervals. */ const size_t end_pos = start_pos + length; uint32_t* BROTLI_RESTRICT const bigram_prefix_histo = arena; memset(bigram_prefix_histo, 0, sizeof(arena[0]) * 9); for (; start_pos + 64 <= end_pos; start_pos += 4096) { static const int lut[4] = { 0, 0, 1, 2 }; const size_t stride_end_pos = start_pos + 64; int prev = lut[input[start_pos & mask] >> 6] * 3; size_t pos; for (pos = start_pos + 1; pos < stride_end_pos; ++pos) { const uint8_t literal = input[pos & mask]; ++bigram_prefix_histo[prev + lut[literal >> 6]]; prev = lut[literal >> 6] * 3; } } ChooseContextMap(quality, &bigram_prefix_histo[0], num_literal_contexts, literal_context_map); } } static BROTLI_BOOL ShouldCompress( const uint8_t* data, const size_t mask, const uint64_t last_flush_pos, const size_t bytes, const size_t num_literals, const size_t num_commands) { /* TODO(eustas): find more precise minimal block overhead. */ if (bytes <= 2) return BROTLI_FALSE; if (num_commands < (bytes >> 8) + 2) { if ((double)num_literals > 0.99 * (double)bytes) { uint32_t literal_histo[256] = { 0 }; static const uint32_t kSampleRate = 13; static const double kMinEntropy = 7.92; const double bit_cost_threshold = (double)bytes * kMinEntropy / kSampleRate; size_t t = (bytes + kSampleRate - 1) / kSampleRate; uint32_t pos = (uint32_t)last_flush_pos; size_t i; for (i = 0; i < t; i++) { ++literal_histo[data[pos & mask]]; pos += kSampleRate; } if (BitsEntropy(literal_histo, 256) > bit_cost_threshold) { return BROTLI_FALSE; } } } return BROTLI_TRUE; } /* Chooses the literal context mode for a metablock */ static ContextType ChooseContextMode(const BrotliEncoderParams* params, const uint8_t* data, const size_t pos, const size_t mask, const size_t length) { /* We only do the computation for the option of something else than CONTEXT_UTF8 for the highest qualities */ if (params->quality >= MIN_QUALITY_FOR_HQ_BLOCK_SPLITTING && !BrotliIsMostlyUTF8(data, pos, mask, length, kMinUTF8Ratio)) { return CONTEXT_SIGNED; } return CONTEXT_UTF8; } static void WriteMetaBlockInternal(MemoryManager* m, const uint8_t* data, const size_t mask, const uint64_t last_flush_pos, const size_t bytes, const BROTLI_BOOL is_last, ContextType literal_context_mode, const BrotliEncoderParams* params, const uint8_t prev_byte, const uint8_t prev_byte2, const size_t num_literals, const size_t num_commands, Command* commands, const int* saved_dist_cache, int* dist_cache, size_t* storage_ix, uint8_t* storage) { const uint32_t wrapped_last_flush_pos = WrapPosition(last_flush_pos); uint16_t last_bytes; uint8_t last_bytes_bits; ContextLut literal_context_lut = BROTLI_CONTEXT_LUT(literal_context_mode); BrotliEncoderParams block_params = *params; if (bytes == 0) { /* Write the ISLAST and ISEMPTY bits. */ BrotliWriteBits(2, 3, storage_ix, storage); *storage_ix = (*storage_ix + 7u) & ~7u; return; } if (!ShouldCompress(data, mask, last_flush_pos, bytes, num_literals, num_commands)) { /* Restore the distance cache, as its last update by CreateBackwardReferences is now unused. */ memcpy(dist_cache, saved_dist_cache, 4 * sizeof(dist_cache[0])); BrotliStoreUncompressedMetaBlock(is_last, data, wrapped_last_flush_pos, mask, bytes, storage_ix, storage); return; } BROTLI_DCHECK(*storage_ix <= 14); last_bytes = (uint16_t)((storage[1] << 8) | storage[0]); last_bytes_bits = (uint8_t)(*storage_ix); if (params->quality <= MAX_QUALITY_FOR_STATIC_ENTROPY_CODES) { BrotliStoreMetaBlockFast(m, data, wrapped_last_flush_pos, bytes, mask, is_last, params, commands, num_commands, storage_ix, storage); if (BROTLI_IS_OOM(m)) return; } else if (params->quality < MIN_QUALITY_FOR_BLOCK_SPLIT) { BrotliStoreMetaBlockTrivial(m, data, wrapped_last_flush_pos, bytes, mask, is_last, params, commands, num_commands, storage_ix, storage); if (BROTLI_IS_OOM(m)) return; } else { MetaBlockSplit mb; InitMetaBlockSplit(&mb); if (params->quality < MIN_QUALITY_FOR_HQ_BLOCK_SPLITTING) { size_t num_literal_contexts = 1; const uint32_t* literal_context_map = NULL; if (!params->disable_literal_context_modeling) { /* TODO(eustas): pull to higher level and reuse. */ uint32_t* arena = BROTLI_ALLOC(m, uint32_t, 14 * 32); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(arena)) return; DecideOverLiteralContextModeling( data, wrapped_last_flush_pos, bytes, mask, params->quality, params->size_hint, &num_literal_contexts, &literal_context_map, arena); BROTLI_FREE(m, arena); } BrotliBuildMetaBlockGreedy(m, data, wrapped_last_flush_pos, mask, prev_byte, prev_byte2, literal_context_lut, num_literal_contexts, literal_context_map, commands, num_commands, &mb); if (BROTLI_IS_OOM(m)) return; } else { BrotliBuildMetaBlock(m, data, wrapped_last_flush_pos, mask, &block_params, prev_byte, prev_byte2, commands, num_commands, literal_context_mode, &mb); if (BROTLI_IS_OOM(m)) return; } if (params->quality >= MIN_QUALITY_FOR_OPTIMIZE_HISTOGRAMS) { /* The number of distance symbols effectively used for distance histograms. It might be less than distance alphabet size for "Large Window Brotli" (32-bit). */ BrotliOptimizeHistograms(block_params.dist.alphabet_size_limit, &mb); } BrotliStoreMetaBlock(m, data, wrapped_last_flush_pos, bytes, mask, prev_byte, prev_byte2, is_last, &block_params, literal_context_mode, commands, num_commands, &mb, storage_ix, storage); if (BROTLI_IS_OOM(m)) return; DestroyMetaBlockSplit(m, &mb); } if (bytes + 4 < (*storage_ix >> 3)) { /* Restore the distance cache and last byte. */ memcpy(dist_cache, saved_dist_cache, 4 * sizeof(dist_cache[0])); storage[0] = (uint8_t)last_bytes; storage[1] = (uint8_t)(last_bytes >> 8); *storage_ix = last_bytes_bits; BrotliStoreUncompressedMetaBlock(is_last, data, wrapped_last_flush_pos, mask, bytes, storage_ix, storage); } } static void ChooseDistanceParams(BrotliEncoderParams* params) { uint32_t distance_postfix_bits = 0; uint32_t num_direct_distance_codes = 0; if (params->quality >= MIN_QUALITY_FOR_NONZERO_DISTANCE_PARAMS) { uint32_t ndirect_msb; if (params->mode == BROTLI_MODE_FONT) { distance_postfix_bits = 1; num_direct_distance_codes = 12; } else { distance_postfix_bits = params->dist.distance_postfix_bits; num_direct_distance_codes = params->dist.num_direct_distance_codes; } ndirect_msb = (num_direct_distance_codes >> distance_postfix_bits) & 0x0F; if (distance_postfix_bits > BROTLI_MAX_NPOSTFIX || num_direct_distance_codes > BROTLI_MAX_NDIRECT || (ndirect_msb << distance_postfix_bits) != num_direct_distance_codes) { distance_postfix_bits = 0; num_direct_distance_codes = 0; } } BrotliInitDistanceParams(¶ms->dist, distance_postfix_bits, num_direct_distance_codes, params->large_window); } static BROTLI_BOOL EnsureInitialized(BrotliEncoderState* s) { MemoryManager* m = &s->memory_manager_; if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; if (s->is_initialized_) return BROTLI_TRUE; s->last_bytes_bits_ = 0; s->last_bytes_ = 0; s->flint_ = BROTLI_FLINT_DONE; s->remaining_metadata_bytes_ = BROTLI_UINT32_MAX; SanitizeParams(&s->params); s->params.lgblock = ComputeLgBlock(&s->params); ChooseDistanceParams(&s->params); if (s->params.stream_offset != 0) { s->flint_ = BROTLI_FLINT_NEEDS_2_BYTES; /* Poison the distance cache. -16 +- 3 is still less than zero (invalid). */ s->dist_cache_[0] = -16; s->dist_cache_[1] = -16; s->dist_cache_[2] = -16; s->dist_cache_[3] = -16; memcpy(s->saved_dist_cache_, s->dist_cache_, sizeof(s->saved_dist_cache_)); } RingBufferSetup(&s->params, &s->ringbuffer_); /* Initialize last byte with stream header. */ { int lgwin = s->params.lgwin; if (s->params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY || s->params.quality == FAST_TWO_PASS_COMPRESSION_QUALITY) { lgwin = BROTLI_MAX(int, lgwin, 18); } if (s->params.stream_offset == 0) { EncodeWindowBits(lgwin, s->params.large_window, &s->last_bytes_, &s->last_bytes_bits_); } else { /* Bigger values have the same effect, but could cause overflows. */ s->params.stream_offset = BROTLI_MIN(size_t, s->params.stream_offset, BROTLI_MAX_BACKWARD_LIMIT(lgwin)); } } if (s->params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY) { s->one_pass_arena_ = BROTLI_ALLOC(m, BrotliOnePassArena, 1); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; InitCommandPrefixCodes(s->one_pass_arena_); } else if (s->params.quality == FAST_TWO_PASS_COMPRESSION_QUALITY) { s->two_pass_arena_ = BROTLI_ALLOC(m, BrotliTwoPassArena, 1); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; } s->is_initialized_ = BROTLI_TRUE; return BROTLI_TRUE; } static void BrotliEncoderInitParams(BrotliEncoderParams* params) { params->mode = BROTLI_DEFAULT_MODE; params->large_window = BROTLI_FALSE; params->quality = BROTLI_DEFAULT_QUALITY; params->lgwin = BROTLI_DEFAULT_WINDOW; params->lgblock = 0; params->stream_offset = 0; params->size_hint = 0; params->disable_literal_context_modeling = BROTLI_FALSE; BrotliInitSharedEncoderDictionary(¶ms->dictionary); params->dist.distance_postfix_bits = 0; params->dist.num_direct_distance_codes = 0; params->dist.alphabet_size_max = BROTLI_DISTANCE_ALPHABET_SIZE(0, 0, BROTLI_MAX_DISTANCE_BITS); params->dist.alphabet_size_limit = params->dist.alphabet_size_max; params->dist.max_distance = BROTLI_MAX_DISTANCE; } static void BrotliEncoderCleanupParams(MemoryManager* m, BrotliEncoderParams* params) { BrotliCleanupSharedEncoderDictionary(m, ¶ms->dictionary); } static void BrotliEncoderInitState(BrotliEncoderState* s) { BrotliEncoderInitParams(&s->params); s->input_pos_ = 0; s->num_commands_ = 0; s->num_literals_ = 0; s->last_insert_len_ = 0; s->last_flush_pos_ = 0; s->last_processed_pos_ = 0; s->prev_byte_ = 0; s->prev_byte2_ = 0; s->storage_size_ = 0; s->storage_ = 0; HasherInit(&s->hasher_); s->large_table_ = NULL; s->large_table_size_ = 0; s->one_pass_arena_ = NULL; s->two_pass_arena_ = NULL; s->command_buf_ = NULL; s->literal_buf_ = NULL; s->total_in_ = 0; s->next_out_ = NULL; s->available_out_ = 0; s->total_out_ = 0; s->stream_state_ = BROTLI_STREAM_PROCESSING; s->is_last_block_emitted_ = BROTLI_FALSE; s->is_initialized_ = BROTLI_FALSE; RingBufferInit(&s->ringbuffer_); s->commands_ = 0; s->cmd_alloc_size_ = 0; /* Initialize distance cache. */ s->dist_cache_[0] = 4; s->dist_cache_[1] = 11; s->dist_cache_[2] = 15; s->dist_cache_[3] = 16; /* Save the state of the distance cache in case we need to restore it for emitting an uncompressed block. */ memcpy(s->saved_dist_cache_, s->dist_cache_, sizeof(s->saved_dist_cache_)); } BrotliEncoderState* BrotliEncoderCreateInstance( brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque) { BrotliEncoderState* state = (BrotliEncoderState*)BrotliBootstrapAlloc( sizeof(BrotliEncoderState), alloc_func, free_func, opaque); if (state == NULL) { /* BROTLI_DUMP(); */ return 0; } BrotliInitMemoryManager( &state->memory_manager_, alloc_func, free_func, opaque); BrotliEncoderInitState(state); return state; } #ifdef BROTLI_REPORTING /* When BROTLI_REPORTING is defined extra reporting module have to be linked. */ void BrotliEncoderOnFinish(const BrotliEncoderState* s); #define BROTLI_ENCODER_ON_FINISH(s) BrotliEncoderOnFinish(s); #else #if !defined(BROTLI_ENCODER_ON_FINISH) #define BROTLI_ENCODER_ON_FINISH(s) (void)(s); #endif #endif static void BrotliEncoderCleanupState(BrotliEncoderState* s) { MemoryManager* m = &s->memory_manager_; BROTLI_ENCODER_ON_FINISH(s); if (BROTLI_IS_OOM(m)) { BrotliWipeOutMemoryManager(m); return; } BROTLI_FREE(m, s->storage_); BROTLI_FREE(m, s->commands_); RingBufferFree(m, &s->ringbuffer_); DestroyHasher(m, &s->hasher_); BROTLI_FREE(m, s->large_table_); BROTLI_FREE(m, s->one_pass_arena_); BROTLI_FREE(m, s->two_pass_arena_); BROTLI_FREE(m, s->command_buf_); BROTLI_FREE(m, s->literal_buf_); BrotliEncoderCleanupParams(m, &s->params); } /* Deinitializes and frees BrotliEncoderState instance. */ void BrotliEncoderDestroyInstance(BrotliEncoderState* state) { if (!state) { return; } else { BrotliEncoderCleanupState(state); BrotliBootstrapFree(state, &state->memory_manager_); } } /* Copies the given input data to the internal ring buffer of the compressor. No processing of the data occurs at this time and this function can be called multiple times before calling WriteBrotliData() to process the accumulated input. At most input_block_size() bytes of input data can be copied to the ring buffer, otherwise the next WriteBrotliData() will fail. */ static void CopyInputToRingBuffer(BrotliEncoderState* s, const size_t input_size, const uint8_t* input_buffer) { RingBuffer* ringbuffer_ = &s->ringbuffer_; MemoryManager* m = &s->memory_manager_; RingBufferWrite(m, input_buffer, input_size, ringbuffer_); if (BROTLI_IS_OOM(m)) return; s->input_pos_ += input_size; /* TL;DR: If needed, initialize 7 more bytes in the ring buffer to make the hashing not depend on uninitialized data. This makes compression deterministic and it prevents uninitialized memory warnings in Valgrind. Even without erasing, the output would be valid (but nondeterministic). Background information: The compressor stores short (at most 8 bytes) substrings of the input already read in a hash table, and detects repetitions by looking up such substrings in the hash table. If it can find a substring, it checks whether the substring is really there in the ring buffer (or it's just a hash collision). Should the hash table become corrupt, this check makes sure that the output is still valid, albeit the compression ratio would be bad. The compressor populates the hash table from the ring buffer as it's reading new bytes from the input. However, at the last few indexes of the ring buffer, there are not enough bytes to build full-length substrings from. Since the hash table always contains full-length substrings, we erase with dummy zeros here to make sure that those substrings will contain zeros at the end instead of uninitialized data. Please note that erasing is not necessary (because the memory region is already initialized since he ring buffer has a `tail' that holds a copy of the beginning,) so we skip erasing if we have already gone around at least once in the ring buffer. Only clear during the first round of ring-buffer writes. On subsequent rounds data in the ring-buffer would be affected. */ if (ringbuffer_->pos_ <= ringbuffer_->mask_) { /* This is the first time when the ring buffer is being written. We clear 7 bytes just after the bytes that have been copied from the input buffer. The ring-buffer has a "tail" that holds a copy of the beginning, but only once the ring buffer has been fully written once, i.e., pos <= mask. For the first time, we need to write values in this tail (where index may be larger than mask), so that we have exactly defined behavior and don't read uninitialized memory. Due to performance reasons, hashing reads data using a LOAD64, which can go 7 bytes beyond the bytes written in the ring-buffer. */ memset(ringbuffer_->buffer_ + ringbuffer_->pos_, 0, 7); } } /* Marks all input as processed. Returns true if position wrapping occurs. */ static BROTLI_BOOL UpdateLastProcessedPos(BrotliEncoderState* s) { uint32_t wrapped_last_processed_pos = WrapPosition(s->last_processed_pos_); uint32_t wrapped_input_pos = WrapPosition(s->input_pos_); s->last_processed_pos_ = s->input_pos_; return TO_BROTLI_BOOL(wrapped_input_pos < wrapped_last_processed_pos); } static void ExtendLastCommand(BrotliEncoderState* s, uint32_t* bytes, uint32_t* wrapped_last_processed_pos) { Command* last_command = &s->commands_[s->num_commands_ - 1]; const uint8_t* data = s->ringbuffer_.buffer_; const uint32_t mask = s->ringbuffer_.mask_; uint64_t max_backward_distance = (((uint64_t)1) << s->params.lgwin) - BROTLI_WINDOW_GAP; uint64_t last_copy_len = last_command->copy_len_ & 0x1FFFFFF; uint64_t last_processed_pos = s->last_processed_pos_ - last_copy_len; uint64_t max_distance = last_processed_pos < max_backward_distance ? last_processed_pos : max_backward_distance; uint64_t cmd_dist = (uint64_t)s->dist_cache_[0]; uint32_t distance_code = CommandRestoreDistanceCode(last_command, &s->params.dist); const CompoundDictionary* dict = &s->params.dictionary.compound; size_t compound_dictionary_size = dict->total_size; if (distance_code < BROTLI_NUM_DISTANCE_SHORT_CODES || distance_code - (BROTLI_NUM_DISTANCE_SHORT_CODES - 1) == cmd_dist) { if (cmd_dist <= max_distance) { while (*bytes != 0 && data[*wrapped_last_processed_pos & mask] == data[(*wrapped_last_processed_pos - cmd_dist) & mask]) { last_command->copy_len_++; (*bytes)--; (*wrapped_last_processed_pos)++; } } else { if ((cmd_dist - max_distance - 1) < compound_dictionary_size && last_copy_len < cmd_dist - max_distance) { size_t address = compound_dictionary_size - (size_t)(cmd_dist - max_distance) + (size_t)last_copy_len; size_t br_index = 0; size_t br_offset; const uint8_t* chunk; size_t chunk_length; while (address >= dict->chunk_offsets[br_index + 1]) br_index++; br_offset = address - dict->chunk_offsets[br_index]; chunk = dict->chunk_source[br_index]; chunk_length = dict->chunk_offsets[br_index + 1] - dict->chunk_offsets[br_index]; while (*bytes != 0 && data[*wrapped_last_processed_pos & mask] == chunk[br_offset]) { last_command->copy_len_++; (*bytes)--; (*wrapped_last_processed_pos)++; if (++br_offset == chunk_length) { br_index++; br_offset = 0; if (br_index != dict->num_chunks) { chunk = dict->chunk_source[br_index]; chunk_length = dict->chunk_offsets[br_index + 1] - dict->chunk_offsets[br_index]; } else { break; } } } } } /* The copy length is at most the metablock size, and thus expressible. */ GetLengthCode(last_command->insert_len_, (size_t)((int)(last_command->copy_len_ & 0x1FFFFFF) + (int)(last_command->copy_len_ >> 25)), TO_BROTLI_BOOL((last_command->dist_prefix_ & 0x3FF) == 0), &last_command->cmd_prefix_); } } /* Processes the accumulated input data and sets |*out_size| to the length of the new output meta-block, or to zero if no new output meta-block has been created (in this case the processed input data is buffered internally). If |*out_size| is positive, |*output| points to the start of the output data. If |is_last| or |force_flush| is BROTLI_TRUE, an output meta-block is always created. However, until |is_last| is BROTLI_TRUE encoder may retain up to 7 bits of the last byte of output. Byte-alignment could be enforced by emitting an empty meta-data block. Returns BROTLI_FALSE if the size of the input data is larger than input_block_size(). */ static BROTLI_BOOL EncodeData( BrotliEncoderState* s, const BROTLI_BOOL is_last, const BROTLI_BOOL force_flush, size_t* out_size, uint8_t** output) { const uint64_t delta = UnprocessedInputSize(s); uint32_t bytes = (uint32_t)delta; uint32_t wrapped_last_processed_pos = WrapPosition(s->last_processed_pos_); uint8_t* data; uint32_t mask; MemoryManager* m = &s->memory_manager_; ContextType literal_context_mode; ContextLut literal_context_lut; BROTLI_BOOL fast_compress = s->params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY || s->params.quality == FAST_TWO_PASS_COMPRESSION_QUALITY; data = s->ringbuffer_.buffer_; mask = s->ringbuffer_.mask_; if (delta == 0) { /* No new input; still might want to flush or finish. */ if (!data) { /* No input has been processed so far. */ if (is_last) { /* Emit complete finalized stream. */ BROTLI_DCHECK(s->last_bytes_bits_ <= 14); s->last_bytes_ |= (uint16_t)(3u << s->last_bytes_bits_); s->last_bytes_bits_ = (uint8_t)(s->last_bytes_bits_ + 2u); s->tiny_buf_.u8[0] = (uint8_t)s->last_bytes_; s->tiny_buf_.u8[1] = (uint8_t)(s->last_bytes_ >> 8); *output = s->tiny_buf_.u8; *out_size = (s->last_bytes_bits_ + 7u) >> 3u; return BROTLI_TRUE; } else { /* No data, not last -> no-op. */ *out_size = 0; return BROTLI_TRUE; } } else { /* Fast compress performs flush every block -> flush is no-op. */ if (!is_last && (!force_flush || fast_compress)) { /* Another no-op. */ *out_size = 0; return BROTLI_TRUE; } } } BROTLI_DCHECK(data); if (s->params.quality > s->params.dictionary.max_quality) return BROTLI_FALSE; /* Adding more blocks after "last" block is forbidden. */ if (s->is_last_block_emitted_) return BROTLI_FALSE; if (is_last) s->is_last_block_emitted_ = BROTLI_TRUE; if (delta > InputBlockSize(s)) { return BROTLI_FALSE; } if (s->params.quality == FAST_TWO_PASS_COMPRESSION_QUALITY && !s->command_buf_) { s->command_buf_ = BROTLI_ALLOC(m, uint32_t, kCompressFragmentTwoPassBlockSize); s->literal_buf_ = BROTLI_ALLOC(m, uint8_t, kCompressFragmentTwoPassBlockSize); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(s->command_buf_) || BROTLI_IS_NULL(s->literal_buf_)) { return BROTLI_FALSE; } } if (fast_compress) { uint8_t* storage; size_t storage_ix = s->last_bytes_bits_; size_t table_size; int* table; storage = GetBrotliStorage(s, 2 * bytes + 503); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; storage[0] = (uint8_t)s->last_bytes_; storage[1] = (uint8_t)(s->last_bytes_ >> 8); table = GetHashTable(s, s->params.quality, bytes, &table_size); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; if (s->params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY) { BrotliCompressFragmentFast( s->one_pass_arena_, &data[wrapped_last_processed_pos & mask], bytes, is_last, table, table_size, &storage_ix, storage); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; } else { BrotliCompressFragmentTwoPass( s->two_pass_arena_, &data[wrapped_last_processed_pos & mask], bytes, is_last, s->command_buf_, s->literal_buf_, table, table_size, &storage_ix, storage); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; } s->last_bytes_ = (uint16_t)(storage[storage_ix >> 3]); s->last_bytes_bits_ = storage_ix & 7u; UpdateLastProcessedPos(s); *output = &storage[0]; *out_size = storage_ix >> 3; return BROTLI_TRUE; } { /* Theoretical max number of commands is 1 per 2 bytes. */ size_t newsize = s->num_commands_ + bytes / 2 + 1; if (newsize > s->cmd_alloc_size_) { Command* new_commands; /* Reserve a bit more memory to allow merging with a next block without reallocation: that would impact speed. */ newsize += (bytes / 4) + 16; s->cmd_alloc_size_ = newsize; new_commands = BROTLI_ALLOC(m, Command, newsize); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(new_commands)) return BROTLI_FALSE; if (s->commands_) { memcpy(new_commands, s->commands_, sizeof(Command) * s->num_commands_); BROTLI_FREE(m, s->commands_); } s->commands_ = new_commands; } } InitOrStitchToPreviousBlock(m, &s->hasher_, data, mask, &s->params, wrapped_last_processed_pos, bytes, is_last); literal_context_mode = ChooseContextMode( &s->params, data, WrapPosition(s->last_flush_pos_), mask, (size_t)(s->input_pos_ - s->last_flush_pos_)); literal_context_lut = BROTLI_CONTEXT_LUT(literal_context_mode); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; if (s->num_commands_ && s->last_insert_len_ == 0) { ExtendLastCommand(s, &bytes, &wrapped_last_processed_pos); } if (s->params.quality == ZOPFLIFICATION_QUALITY) { BROTLI_DCHECK(s->params.hasher.type == 10); BrotliCreateZopfliBackwardReferences(m, bytes, wrapped_last_processed_pos, data, mask, literal_context_lut, &s->params, &s->hasher_, s->dist_cache_, &s->last_insert_len_, &s->commands_[s->num_commands_], &s->num_commands_, &s->num_literals_); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; } else if (s->params.quality == HQ_ZOPFLIFICATION_QUALITY) { BROTLI_DCHECK(s->params.hasher.type == 10); BrotliCreateHqZopfliBackwardReferences(m, bytes, wrapped_last_processed_pos, data, mask, literal_context_lut, &s->params, &s->hasher_, s->dist_cache_, &s->last_insert_len_, &s->commands_[s->num_commands_], &s->num_commands_, &s->num_literals_); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; } else { BrotliCreateBackwardReferences(bytes, wrapped_last_processed_pos, data, mask, literal_context_lut, &s->params, &s->hasher_, s->dist_cache_, &s->last_insert_len_, &s->commands_[s->num_commands_], &s->num_commands_, &s->num_literals_); } { const size_t max_length = MaxMetablockSize(&s->params); const size_t max_literals = max_length / 8; const size_t max_commands = max_length / 8; const size_t processed_bytes = (size_t)(s->input_pos_ - s->last_flush_pos_); /* If maximal possible additional block doesn't fit metablock, flush now. */ /* TODO(eustas): Postpone decision until next block arrives? */ const BROTLI_BOOL next_input_fits_metablock = TO_BROTLI_BOOL( processed_bytes + InputBlockSize(s) <= max_length); /* If block splitting is not used, then flush as soon as there is some amount of commands / literals produced. */ const BROTLI_BOOL should_flush = TO_BROTLI_BOOL( s->params.quality < MIN_QUALITY_FOR_BLOCK_SPLIT && s->num_literals_ + s->num_commands_ >= MAX_NUM_DELAYED_SYMBOLS); if (!is_last && !force_flush && !should_flush && next_input_fits_metablock && s->num_literals_ < max_literals && s->num_commands_ < max_commands) { /* Merge with next input block. Everything will happen later. */ if (UpdateLastProcessedPos(s)) { HasherReset(&s->hasher_); } *out_size = 0; return BROTLI_TRUE; } } /* Create the last insert-only command. */ if (s->last_insert_len_ > 0) { InitInsertCommand(&s->commands_[s->num_commands_++], s->last_insert_len_); s->num_literals_ += s->last_insert_len_; s->last_insert_len_ = 0; } if (!is_last && s->input_pos_ == s->last_flush_pos_) { /* We have no new input data and we don't have to finish the stream, so nothing to do. */ *out_size = 0; return BROTLI_TRUE; } BROTLI_DCHECK(s->input_pos_ >= s->last_flush_pos_); BROTLI_DCHECK(s->input_pos_ > s->last_flush_pos_ || is_last); BROTLI_DCHECK(s->input_pos_ - s->last_flush_pos_ <= 1u << 24); { const uint32_t metablock_size = (uint32_t)(s->input_pos_ - s->last_flush_pos_); uint8_t* storage = GetBrotliStorage(s, 2 * metablock_size + 503); size_t storage_ix = s->last_bytes_bits_; if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; storage[0] = (uint8_t)s->last_bytes_; storage[1] = (uint8_t)(s->last_bytes_ >> 8); WriteMetaBlockInternal( m, data, mask, s->last_flush_pos_, metablock_size, is_last, literal_context_mode, &s->params, s->prev_byte_, s->prev_byte2_, s->num_literals_, s->num_commands_, s->commands_, s->saved_dist_cache_, s->dist_cache_, &storage_ix, storage); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; s->last_bytes_ = (uint16_t)(storage[storage_ix >> 3]); s->last_bytes_bits_ = storage_ix & 7u; s->last_flush_pos_ = s->input_pos_; if (UpdateLastProcessedPos(s)) { HasherReset(&s->hasher_); } if (s->last_flush_pos_ > 0) { s->prev_byte_ = data[((uint32_t)s->last_flush_pos_ - 1) & mask]; } if (s->last_flush_pos_ > 1) { s->prev_byte2_ = data[(uint32_t)(s->last_flush_pos_ - 2) & mask]; } s->num_commands_ = 0; s->num_literals_ = 0; /* Save the state of the distance cache in case we need to restore it for emitting an uncompressed block. */ memcpy(s->saved_dist_cache_, s->dist_cache_, sizeof(s->saved_dist_cache_)); *output = &storage[0]; *out_size = storage_ix >> 3; return BROTLI_TRUE; } } /* Dumps remaining output bits and metadata header to |header|. Returns number of produced bytes. REQUIRED: |header| should be 8-byte aligned and at least 16 bytes long. REQUIRED: |block_size| <= (1 << 24). */ static size_t WriteMetadataHeader( BrotliEncoderState* s, const size_t block_size, uint8_t* header) { size_t storage_ix; storage_ix = s->last_bytes_bits_; header[0] = (uint8_t)s->last_bytes_; header[1] = (uint8_t)(s->last_bytes_ >> 8); s->last_bytes_ = 0; s->last_bytes_bits_ = 0; BrotliWriteBits(1, 0, &storage_ix, header); BrotliWriteBits(2, 3, &storage_ix, header); BrotliWriteBits(1, 0, &storage_ix, header); if (block_size == 0) { BrotliWriteBits(2, 0, &storage_ix, header); } else { uint32_t nbits = (block_size == 1) ? 1 : (Log2FloorNonZero((uint32_t)block_size - 1) + 1); uint32_t nbytes = (nbits + 7) / 8; BrotliWriteBits(2, nbytes, &storage_ix, header); BrotliWriteBits(8 * nbytes, block_size - 1, &storage_ix, header); } return (storage_ix + 7u) >> 3; } size_t BrotliEncoderMaxCompressedSize(size_t input_size) { /* [window bits / empty metadata] + N * [uncompressed] + [last empty] */ size_t num_large_blocks = input_size >> 14; size_t overhead = 2 + (4 * num_large_blocks) + 3 + 1; size_t result = input_size + overhead; if (input_size == 0) return 2; return (result < input_size) ? 0 : result; } /* Wraps data to uncompressed brotli stream with minimal window size. |output| should point at region with at least BrotliEncoderMaxCompressedSize addressable bytes. Returns the length of stream. */ static size_t MakeUncompressedStream( const uint8_t* input, size_t input_size, uint8_t* output) { size_t size = input_size; size_t result = 0; size_t offset = 0; if (input_size == 0) { output[0] = 6; return 1; } output[result++] = 0x21; /* window bits = 10, is_last = false */ output[result++] = 0x03; /* empty metadata, padding */ while (size > 0) { uint32_t nibbles = 0; uint32_t chunk_size; uint32_t bits; chunk_size = (size > (1u << 24)) ? (1u << 24) : (uint32_t)size; if (chunk_size > (1u << 16)) nibbles = (chunk_size > (1u << 20)) ? 2 : 1; bits = (nibbles << 1) | ((chunk_size - 1) << 3) | (1u << (19 + 4 * nibbles)); output[result++] = (uint8_t)bits; output[result++] = (uint8_t)(bits >> 8); output[result++] = (uint8_t)(bits >> 16); if (nibbles == 2) output[result++] = (uint8_t)(bits >> 24); memcpy(&output[result], &input[offset], chunk_size); result += chunk_size; offset += chunk_size; size -= chunk_size; } output[result++] = 3; return result; } BROTLI_BOOL BrotliEncoderCompress( int quality, int lgwin, BrotliEncoderMode mode, size_t input_size, const uint8_t input_buffer[BROTLI_ARRAY_PARAM(input_size)], size_t* encoded_size, uint8_t encoded_buffer[BROTLI_ARRAY_PARAM(*encoded_size)]) { BrotliEncoderState* s; size_t out_size = *encoded_size; const uint8_t* input_start = input_buffer; uint8_t* output_start = encoded_buffer; size_t max_out_size = BrotliEncoderMaxCompressedSize(input_size); if (out_size == 0) { /* Output buffer needs at least one byte. */ return BROTLI_FALSE; } if (input_size == 0) { /* Handle the special case of empty input. */ *encoded_size = 1; *encoded_buffer = 6; return BROTLI_TRUE; } s = BrotliEncoderCreateInstance(0, 0, 0); if (!s) { return BROTLI_FALSE; } else { size_t available_in = input_size; const uint8_t* next_in = input_buffer; size_t available_out = *encoded_size; uint8_t* next_out = encoded_buffer; size_t total_out = 0; BROTLI_BOOL result = BROTLI_FALSE; /* TODO(eustas): check that parameters are sane. */ BrotliEncoderSetParameter(s, BROTLI_PARAM_QUALITY, (uint32_t)quality); BrotliEncoderSetParameter(s, BROTLI_PARAM_LGWIN, (uint32_t)lgwin); BrotliEncoderSetParameter(s, BROTLI_PARAM_MODE, (uint32_t)mode); BrotliEncoderSetParameter(s, BROTLI_PARAM_SIZE_HINT, (uint32_t)input_size); if (lgwin > BROTLI_MAX_WINDOW_BITS) { BrotliEncoderSetParameter(s, BROTLI_PARAM_LARGE_WINDOW, BROTLI_TRUE); } result = BrotliEncoderCompressStream(s, BROTLI_OPERATION_FINISH, &available_in, &next_in, &available_out, &next_out, &total_out); if (!BrotliEncoderIsFinished(s)) result = 0; *encoded_size = total_out; BrotliEncoderDestroyInstance(s); if (!result || (max_out_size && *encoded_size > max_out_size)) { goto fallback; } return BROTLI_TRUE; } fallback: *encoded_size = 0; if (!max_out_size) return BROTLI_FALSE; if (out_size >= max_out_size) { *encoded_size = MakeUncompressedStream(input_start, input_size, output_start); return BROTLI_TRUE; } return BROTLI_FALSE; } static void InjectBytePaddingBlock(BrotliEncoderState* s) { uint32_t seal = s->last_bytes_; size_t seal_bits = s->last_bytes_bits_; uint8_t* destination; s->last_bytes_ = 0; s->last_bytes_bits_ = 0; /* is_last = 0, data_nibbles = 11, reserved = 0, meta_nibbles = 00 */ seal |= 0x6u << seal_bits; seal_bits += 6; /* If we have already created storage, then append to it. Storage is valid until next block is being compressed. */ if (s->next_out_) { destination = s->next_out_ + s->available_out_; } else { destination = s->tiny_buf_.u8; s->next_out_ = destination; } destination[0] = (uint8_t)seal; if (seal_bits > 8) destination[1] = (uint8_t)(seal >> 8); if (seal_bits > 16) destination[2] = (uint8_t)(seal >> 16); s->available_out_ += (seal_bits + 7) >> 3; } /* Fills the |total_out|, if it is not NULL. */ static void SetTotalOut(BrotliEncoderState* s, size_t* total_out) { if (total_out) { /* Saturating conversion uint64_t -> size_t */ size_t result = (size_t)-1; if (s->total_out_ < result) { result = (size_t)s->total_out_; } *total_out = result; } } /* Injects padding bits or pushes compressed data to output. Returns false if nothing is done. */ static BROTLI_BOOL InjectFlushOrPushOutput(BrotliEncoderState* s, size_t* available_out, uint8_t** next_out, size_t* total_out) { if (s->stream_state_ == BROTLI_STREAM_FLUSH_REQUESTED && s->last_bytes_bits_ != 0) { InjectBytePaddingBlock(s); return BROTLI_TRUE; } if (s->available_out_ != 0 && *available_out != 0) { size_t copy_output_size = BROTLI_MIN(size_t, s->available_out_, *available_out); memcpy(*next_out, s->next_out_, copy_output_size); *next_out += copy_output_size; *available_out -= copy_output_size; s->next_out_ += copy_output_size; s->available_out_ -= copy_output_size; s->total_out_ += copy_output_size; SetTotalOut(s, total_out); return BROTLI_TRUE; } return BROTLI_FALSE; } static void CheckFlushComplete(BrotliEncoderState* s) { if (s->stream_state_ == BROTLI_STREAM_FLUSH_REQUESTED && s->available_out_ == 0) { s->stream_state_ = BROTLI_STREAM_PROCESSING; s->next_out_ = 0; } } static BROTLI_BOOL BrotliEncoderCompressStreamFast( BrotliEncoderState* s, BrotliEncoderOperation op, size_t* available_in, const uint8_t** next_in, size_t* available_out, uint8_t** next_out, size_t* total_out) { const size_t block_size_limit = (size_t)1 << s->params.lgwin; const size_t buf_size = BROTLI_MIN(size_t, kCompressFragmentTwoPassBlockSize, BROTLI_MIN(size_t, *available_in, block_size_limit)); uint32_t* tmp_command_buf = NULL; uint32_t* command_buf = NULL; uint8_t* tmp_literal_buf = NULL; uint8_t* literal_buf = NULL; MemoryManager* m = &s->memory_manager_; if (s->params.quality != FAST_ONE_PASS_COMPRESSION_QUALITY && s->params.quality != FAST_TWO_PASS_COMPRESSION_QUALITY) { return BROTLI_FALSE; } if (s->params.quality == FAST_TWO_PASS_COMPRESSION_QUALITY) { if (!s->command_buf_ && buf_size == kCompressFragmentTwoPassBlockSize) { s->command_buf_ = BROTLI_ALLOC(m, uint32_t, kCompressFragmentTwoPassBlockSize); s->literal_buf_ = BROTLI_ALLOC(m, uint8_t, kCompressFragmentTwoPassBlockSize); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(s->command_buf_) || BROTLI_IS_NULL(s->literal_buf_)) { return BROTLI_FALSE; } } if (s->command_buf_) { command_buf = s->command_buf_; literal_buf = s->literal_buf_; } else { tmp_command_buf = BROTLI_ALLOC(m, uint32_t, buf_size); tmp_literal_buf = BROTLI_ALLOC(m, uint8_t, buf_size); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(tmp_command_buf) || BROTLI_IS_NULL(tmp_literal_buf)) { return BROTLI_FALSE; } command_buf = tmp_command_buf; literal_buf = tmp_literal_buf; } } while (BROTLI_TRUE) { if (InjectFlushOrPushOutput(s, available_out, next_out, total_out)) { continue; } /* Compress block only when internal output buffer is empty, stream is not finished, there is no pending flush request, and there is either additional input or pending operation. */ if (s->available_out_ == 0 && s->stream_state_ == BROTLI_STREAM_PROCESSING && (*available_in != 0 || op != BROTLI_OPERATION_PROCESS)) { size_t block_size = BROTLI_MIN(size_t, block_size_limit, *available_in); BROTLI_BOOL is_last = (*available_in == block_size) && (op == BROTLI_OPERATION_FINISH); BROTLI_BOOL force_flush = (*available_in == block_size) && (op == BROTLI_OPERATION_FLUSH); size_t max_out_size = 2 * block_size + 503; BROTLI_BOOL inplace = BROTLI_TRUE; uint8_t* storage = NULL; size_t storage_ix = s->last_bytes_bits_; size_t table_size; int* table; if (force_flush && block_size == 0) { s->stream_state_ = BROTLI_STREAM_FLUSH_REQUESTED; continue; } if (max_out_size <= *available_out) { storage = *next_out; } else { inplace = BROTLI_FALSE; storage = GetBrotliStorage(s, max_out_size); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; } storage[0] = (uint8_t)s->last_bytes_; storage[1] = (uint8_t)(s->last_bytes_ >> 8); table = GetHashTable(s, s->params.quality, block_size, &table_size); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; if (s->params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY) { BrotliCompressFragmentFast(s->one_pass_arena_, *next_in, block_size, is_last, table, table_size, &storage_ix, storage); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; } else { BrotliCompressFragmentTwoPass(s->two_pass_arena_, *next_in, block_size, is_last, command_buf, literal_buf, table, table_size, &storage_ix, storage); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; } if (block_size != 0) { *next_in += block_size; *available_in -= block_size; s->total_in_ += block_size; } if (inplace) { size_t out_bytes = storage_ix >> 3; BROTLI_DCHECK(out_bytes <= *available_out); BROTLI_DCHECK((storage_ix & 7) == 0 || out_bytes < *available_out); *next_out += out_bytes; *available_out -= out_bytes; s->total_out_ += out_bytes; SetTotalOut(s, total_out); } else { size_t out_bytes = storage_ix >> 3; s->next_out_ = storage; s->available_out_ = out_bytes; } s->last_bytes_ = (uint16_t)(storage[storage_ix >> 3]); s->last_bytes_bits_ = storage_ix & 7u; if (force_flush) s->stream_state_ = BROTLI_STREAM_FLUSH_REQUESTED; if (is_last) s->stream_state_ = BROTLI_STREAM_FINISHED; continue; } break; } BROTLI_FREE(m, tmp_command_buf); BROTLI_FREE(m, tmp_literal_buf); CheckFlushComplete(s); return BROTLI_TRUE; } static BROTLI_BOOL ProcessMetadata( BrotliEncoderState* s, size_t* available_in, const uint8_t** next_in, size_t* available_out, uint8_t** next_out, size_t* total_out) { if (*available_in > (1u << 24)) return BROTLI_FALSE; /* Switch to metadata block workflow, if required. */ if (s->stream_state_ == BROTLI_STREAM_PROCESSING) { s->remaining_metadata_bytes_ = (uint32_t)*available_in; s->stream_state_ = BROTLI_STREAM_METADATA_HEAD; } if (s->stream_state_ != BROTLI_STREAM_METADATA_HEAD && s->stream_state_ != BROTLI_STREAM_METADATA_BODY) { return BROTLI_FALSE; } while (BROTLI_TRUE) { if (InjectFlushOrPushOutput(s, available_out, next_out, total_out)) { continue; } if (s->available_out_ != 0) break; if (s->input_pos_ != s->last_flush_pos_) { BROTLI_BOOL result = EncodeData(s, BROTLI_FALSE, BROTLI_TRUE, &s->available_out_, &s->next_out_); if (!result) return BROTLI_FALSE; continue; } if (s->stream_state_ == BROTLI_STREAM_METADATA_HEAD) { s->next_out_ = s->tiny_buf_.u8; s->available_out_ = WriteMetadataHeader(s, s->remaining_metadata_bytes_, s->next_out_); s->stream_state_ = BROTLI_STREAM_METADATA_BODY; continue; } else { /* Exit workflow only when there is no more input and no more output. Otherwise client may continue producing empty metadata blocks. */ if (s->remaining_metadata_bytes_ == 0) { s->remaining_metadata_bytes_ = BROTLI_UINT32_MAX; s->stream_state_ = BROTLI_STREAM_PROCESSING; break; } if (*available_out) { /* Directly copy input to output. */ uint32_t copy = (uint32_t)BROTLI_MIN( size_t, s->remaining_metadata_bytes_, *available_out); memcpy(*next_out, *next_in, copy); *next_in += copy; *available_in -= copy; s->total_in_ += copy; /* not actually data input, though */ s->remaining_metadata_bytes_ -= copy; *next_out += copy; *available_out -= copy; } else { /* This guarantees progress in "TakeOutput" workflow. */ uint32_t copy = BROTLI_MIN(uint32_t, s->remaining_metadata_bytes_, 16); s->next_out_ = s->tiny_buf_.u8; memcpy(s->next_out_, *next_in, copy); *next_in += copy; *available_in -= copy; s->total_in_ += copy; /* not actually data input, though */ s->remaining_metadata_bytes_ -= copy; s->available_out_ = copy; } continue; } } return BROTLI_TRUE; } static void UpdateSizeHint(BrotliEncoderState* s, size_t available_in) { if (s->params.size_hint == 0) { uint64_t delta = UnprocessedInputSize(s); uint64_t tail = available_in; uint32_t limit = 1u << 30; uint32_t total; if ((delta >= limit) || (tail >= limit) || ((delta + tail) >= limit)) { total = limit; } else { total = (uint32_t)(delta + tail); } s->params.size_hint = total; } } BROTLI_BOOL BrotliEncoderCompressStream( BrotliEncoderState* s, BrotliEncoderOperation op, size_t* available_in, const uint8_t** next_in, size_t* available_out, uint8_t** next_out, size_t* total_out) { if (!EnsureInitialized(s)) return BROTLI_FALSE; /* Unfinished metadata block; check requirements. */ if (s->remaining_metadata_bytes_ != BROTLI_UINT32_MAX) { if (*available_in != s->remaining_metadata_bytes_) return BROTLI_FALSE; if (op != BROTLI_OPERATION_EMIT_METADATA) return BROTLI_FALSE; } if (op == BROTLI_OPERATION_EMIT_METADATA) { UpdateSizeHint(s, 0); /* First data metablock might be emitted here. */ return ProcessMetadata( s, available_in, next_in, available_out, next_out, total_out); } if (s->stream_state_ == BROTLI_STREAM_METADATA_HEAD || s->stream_state_ == BROTLI_STREAM_METADATA_BODY) { return BROTLI_FALSE; } if (s->stream_state_ != BROTLI_STREAM_PROCESSING && *available_in != 0) { return BROTLI_FALSE; } if (s->params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY || s->params.quality == FAST_TWO_PASS_COMPRESSION_QUALITY) { return BrotliEncoderCompressStreamFast(s, op, available_in, next_in, available_out, next_out, total_out); } while (BROTLI_TRUE) { size_t remaining_block_size = RemainingInputBlockSize(s); /* Shorten input to flint size. */ if (s->flint_ >= 0 && remaining_block_size > (size_t)s->flint_) { remaining_block_size = (size_t)s->flint_; } if (remaining_block_size != 0 && *available_in != 0) { size_t copy_input_size = BROTLI_MIN(size_t, remaining_block_size, *available_in); CopyInputToRingBuffer(s, copy_input_size, *next_in); *next_in += copy_input_size; *available_in -= copy_input_size; s->total_in_ += copy_input_size; if (s->flint_ > 0) s->flint_ = (int8_t)(s->flint_ - (int)copy_input_size); continue; } if (InjectFlushOrPushOutput(s, available_out, next_out, total_out)) { /* Exit the "emit flint" workflow. */ if (s->flint_ == BROTLI_FLINT_WAITING_FOR_FLUSHING) { CheckFlushComplete(s); if (s->stream_state_ == BROTLI_STREAM_PROCESSING) { s->flint_ = BROTLI_FLINT_DONE; } } continue; } /* Compress data only when internal output buffer is empty, stream is not finished and there is no pending flush request. */ if (s->available_out_ == 0 && s->stream_state_ == BROTLI_STREAM_PROCESSING) { if (remaining_block_size == 0 || op != BROTLI_OPERATION_PROCESS) { BROTLI_BOOL is_last = TO_BROTLI_BOOL( (*available_in == 0) && op == BROTLI_OPERATION_FINISH); BROTLI_BOOL force_flush = TO_BROTLI_BOOL( (*available_in == 0) && op == BROTLI_OPERATION_FLUSH); BROTLI_BOOL result; /* Force emitting (uncompressed) piece containing flint. */ if (!is_last && s->flint_ == 0) { s->flint_ = BROTLI_FLINT_WAITING_FOR_FLUSHING; force_flush = BROTLI_TRUE; } UpdateSizeHint(s, *available_in); result = EncodeData(s, is_last, force_flush, &s->available_out_, &s->next_out_); if (!result) return BROTLI_FALSE; if (force_flush) s->stream_state_ = BROTLI_STREAM_FLUSH_REQUESTED; if (is_last) s->stream_state_ = BROTLI_STREAM_FINISHED; continue; } } break; } CheckFlushComplete(s); return BROTLI_TRUE; } BROTLI_BOOL BrotliEncoderIsFinished(BrotliEncoderState* s) { return TO_BROTLI_BOOL(s->stream_state_ == BROTLI_STREAM_FINISHED && !BrotliEncoderHasMoreOutput(s)); } BROTLI_BOOL BrotliEncoderHasMoreOutput(BrotliEncoderState* s) { return TO_BROTLI_BOOL(s->available_out_ != 0); } const uint8_t* BrotliEncoderTakeOutput(BrotliEncoderState* s, size_t* size) { size_t consumed_size = s->available_out_; uint8_t* result = s->next_out_; if (*size) { consumed_size = BROTLI_MIN(size_t, *size, s->available_out_); } if (consumed_size) { s->next_out_ += consumed_size; s->available_out_ -= consumed_size; s->total_out_ += consumed_size; CheckFlushComplete(s); *size = consumed_size; } else { *size = 0; result = 0; } return result; } uint32_t BrotliEncoderVersion(void) { return BROTLI_VERSION; } BrotliEncoderPreparedDictionary* BrotliEncoderPrepareDictionary( BrotliSharedDictionaryType type, size_t size, const uint8_t data[BROTLI_ARRAY_PARAM(size)], int quality, brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque) { ManagedDictionary* managed_dictionary = NULL; BROTLI_BOOL type_is_known = BROTLI_FALSE; type_is_known |= (type == BROTLI_SHARED_DICTIONARY_RAW); #if defined(BROTLI_EXPERIMENTAL) type_is_known |= (type == BROTLI_SHARED_DICTIONARY_SERIALIZED); #endif /* BROTLI_EXPERIMENTAL */ if (!type_is_known) { return NULL; } managed_dictionary = BrotliCreateManagedDictionary(alloc_func, free_func, opaque); if (managed_dictionary == NULL) { return NULL; } if (type == BROTLI_SHARED_DICTIONARY_RAW) { managed_dictionary->dictionary = (uint32_t*)CreatePreparedDictionary( &managed_dictionary->memory_manager_, data, size); } #if defined(BROTLI_EXPERIMENTAL) if (type == BROTLI_SHARED_DICTIONARY_SERIALIZED) { SharedEncoderDictionary* dict = (SharedEncoderDictionary*)BrotliAllocate( &managed_dictionary->memory_manager_, sizeof(SharedEncoderDictionary)); managed_dictionary->dictionary = (uint32_t*)dict; if (dict != NULL) { BROTLI_BOOL ok = BrotliInitCustomSharedEncoderDictionary( &managed_dictionary->memory_manager_, data, size, quality, dict); if (!ok) { BrotliFree(&managed_dictionary->memory_manager_, dict); managed_dictionary->dictionary = NULL; } } } #else /* BROTLI_EXPERIMENTAL */ (void)quality; #endif /* BROTLI_EXPERIMENTAL */ if (managed_dictionary->dictionary == NULL) { BrotliDestroyManagedDictionary(managed_dictionary); return NULL; } return (BrotliEncoderPreparedDictionary*)managed_dictionary; } void BrotliEncoderDestroyPreparedDictionary( BrotliEncoderPreparedDictionary* dictionary) { ManagedDictionary* dict = (ManagedDictionary*)dictionary; if (!dictionary) return; /* First field of dictionary structs. */ /* Only managed dictionaries are eligible for destruction by this method. */ if (dict->magic != kManagedDictionaryMagic) { return; } if (dict->dictionary == NULL) { /* This should never ever happen. */ } else if (*dict->dictionary == kLeanPreparedDictionaryMagic) { DestroyPreparedDictionary( &dict->memory_manager_, (PreparedDictionary*)dict->dictionary); } else if (*dict->dictionary == kSharedDictionaryMagic) { BrotliCleanupSharedEncoderDictionary(&dict->memory_manager_, (SharedEncoderDictionary*)dict->dictionary); BrotliFree(&dict->memory_manager_, dict->dictionary); } else { /* There is also kPreparedDictionaryMagic, but such instances should be * constructed and destroyed by different means. */ } dict->dictionary = NULL; BrotliDestroyManagedDictionary(dict); } BROTLI_BOOL BrotliEncoderAttachPreparedDictionary(BrotliEncoderState* state, const BrotliEncoderPreparedDictionary* dictionary) { /* First field of dictionary structs */ const BrotliEncoderPreparedDictionary* dict = dictionary; uint32_t magic = *((const uint32_t*)dict); SharedEncoderDictionary* current = NULL; if (magic == kManagedDictionaryMagic) { /* Unwrap managed dictionary. */ ManagedDictionary* managed_dictionary = (ManagedDictionary*)dict; magic = *managed_dictionary->dictionary; dict = (BrotliEncoderPreparedDictionary*)managed_dictionary->dictionary; } current = &state->params.dictionary; if (magic == kPreparedDictionaryMagic || magic == kLeanPreparedDictionaryMagic) { const PreparedDictionary* prepared = (const PreparedDictionary*)dict; if (!AttachPreparedDictionary(¤t->compound, prepared)) { return BROTLI_FALSE; } } else if (magic == kSharedDictionaryMagic) { const SharedEncoderDictionary* attached = (const SharedEncoderDictionary*)dict; BROTLI_BOOL was_default = !current->contextual.context_based && current->contextual.num_dictionaries == 1 && current->contextual.dict[0]->hash_table_words == kStaticDictionaryHashWords && current->contextual.dict[0]->hash_table_lengths == kStaticDictionaryHashLengths; BROTLI_BOOL new_default = !attached->contextual.context_based && attached->contextual.num_dictionaries == 1 && attached->contextual.dict[0]->hash_table_words == kStaticDictionaryHashWords && attached->contextual.dict[0]->hash_table_lengths == kStaticDictionaryHashLengths; size_t i; if (state->is_initialized_) return BROTLI_FALSE; current->max_quality = BROTLI_MIN(int, current->max_quality, attached->max_quality); for (i = 0; i < attached->compound.num_chunks; i++) { if (!AttachPreparedDictionary(¤t->compound, attached->compound.chunks[i])) { return BROTLI_FALSE; } } if (!new_default) { if (!was_default) return BROTLI_FALSE; /* Copy by value, but then set num_instances_ to 0 because their memory is managed by attached, not by current */ current->contextual = attached->contextual; current->contextual.num_instances_ = 0; } } else { return BROTLI_FALSE; } return BROTLI_TRUE; } size_t BrotliEncoderEstimatePeakMemoryUsage(int quality, int lgwin, size_t input_size) { BrotliEncoderParams params; size_t memory_manager_slots = BROTLI_ENCODER_MEMORY_MANAGER_SLOTS; size_t memory_manager_size = memory_manager_slots * sizeof(void*); BrotliEncoderInitParams(¶ms); params.quality = quality; params.lgwin = lgwin; params.size_hint = input_size; params.large_window = lgwin > BROTLI_MAX_WINDOW_BITS; SanitizeParams(¶ms); params.lgblock = ComputeLgBlock(¶ms); ChooseHasher(¶ms, ¶ms.hasher); if (params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY || params.quality == FAST_TWO_PASS_COMPRESSION_QUALITY) { size_t state_size = sizeof(BrotliEncoderState); size_t block_size = BROTLI_MIN(size_t, input_size, (1ul << params.lgwin)); size_t hash_table_size = HashTableSize(MaxHashTableSize(params.quality), block_size); size_t hash_size = (hash_table_size < (1u << 10)) ? 0 : sizeof(int) * hash_table_size; size_t cmdbuf_size = params.quality == FAST_TWO_PASS_COMPRESSION_QUALITY ? 5 * BROTLI_MIN(size_t, block_size, 1ul << 17) : 0; if (params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY) { state_size += sizeof(BrotliOnePassArena); } else { state_size += sizeof(BrotliTwoPassArena); } return hash_size + cmdbuf_size + state_size; } else { size_t short_ringbuffer_size = (size_t)1 << params.lgblock; int ringbuffer_bits = ComputeRbBits(¶ms); size_t ringbuffer_size = input_size < short_ringbuffer_size ? input_size : (1u << ringbuffer_bits) + short_ringbuffer_size; size_t hash_size[4] = {0}; size_t metablock_size = BROTLI_MIN(size_t, input_size, MaxMetablockSize(¶ms)); size_t inputblock_size = BROTLI_MIN(size_t, input_size, (size_t)1 << params.lgblock); size_t cmdbuf_size = metablock_size * 2 + inputblock_size * 6; size_t outbuf_size = metablock_size * 2 + 503; size_t histogram_size = 0; HasherSize(¶ms, BROTLI_TRUE, input_size, hash_size); if (params.quality < MIN_QUALITY_FOR_BLOCK_SPLIT) { cmdbuf_size = BROTLI_MIN(size_t, cmdbuf_size, MAX_NUM_DELAYED_SYMBOLS * sizeof(Command) + inputblock_size * 12); } if (params.quality >= MIN_QUALITY_FOR_HQ_BLOCK_SPLITTING) { /* Only a very rough estimation, based on enwik8. */ histogram_size = 200 << 20; } else if (params.quality >= MIN_QUALITY_FOR_BLOCK_SPLIT) { size_t literal_histograms = BROTLI_MIN(size_t, metablock_size / 6144, 256); size_t command_histograms = BROTLI_MIN(size_t, metablock_size / 6144, 256); size_t distance_histograms = BROTLI_MIN(size_t, metablock_size / 6144, 256); histogram_size = literal_histograms * sizeof(HistogramLiteral) + command_histograms * sizeof(HistogramCommand) + distance_histograms * sizeof(HistogramDistance); } return (memory_manager_size + ringbuffer_size + hash_size[0] + hash_size[1] + hash_size[2] + hash_size[3] + cmdbuf_size + outbuf_size + histogram_size); } } size_t BrotliEncoderGetPreparedDictionarySize( const BrotliEncoderPreparedDictionary* prepared_dictionary) { /* First field of dictionary structs */ const BrotliEncoderPreparedDictionary* prepared = prepared_dictionary; uint32_t magic = *((const uint32_t*)prepared); size_t overhead = 0; if (magic == kManagedDictionaryMagic) { const ManagedDictionary* managed = (const ManagedDictionary*)prepared; overhead = sizeof(ManagedDictionary); magic = *managed->dictionary; prepared = (const BrotliEncoderPreparedDictionary*)managed->dictionary; } if (magic == kPreparedDictionaryMagic) { const PreparedDictionary* dictionary = (const PreparedDictionary*)prepared; /* Keep in sync with step 3 of CreatePreparedDictionary */ return sizeof(PreparedDictionary) + dictionary->source_size + (sizeof(uint32_t) << dictionary->slot_bits) + (sizeof(uint16_t) << dictionary->bucket_bits) + (sizeof(uint32_t) * dictionary->num_items) + overhead; } else if (magic == kLeanPreparedDictionaryMagic) { const PreparedDictionary* dictionary = (const PreparedDictionary*)prepared; /* Keep in sync with step 3 of CreatePreparedDictionary */ return sizeof(PreparedDictionary) + sizeof(uint8_t*) + (sizeof(uint32_t) << dictionary->slot_bits) + (sizeof(uint16_t) << dictionary->bucket_bits) + (sizeof(uint32_t) * dictionary->num_items) + overhead; } else if (magic == kSharedDictionaryMagic) { const SharedEncoderDictionary* dictionary = (const SharedEncoderDictionary*)prepared; const CompoundDictionary* compound = &dictionary->compound; const ContextualEncoderDictionary* contextual = &dictionary->contextual; size_t result = sizeof(*dictionary); size_t i; size_t num_instances; const BrotliEncoderDictionary* instances; for (i = 0; i < compound->num_prepared_instances_; i++) { size_t size = BrotliEncoderGetPreparedDictionarySize( (const BrotliEncoderPreparedDictionary*) compound->prepared_instances_[i]); if (!size) return 0; /* error */ result += size; } if (contextual->context_based) { num_instances = contextual->num_instances_; instances = contextual->instances_; result += sizeof(*instances) * num_instances; } else { num_instances = 1; instances = &contextual->instance_; } for (i = 0; i < num_instances; i++) { const BrotliEncoderDictionary* dict = &instances[i]; result += dict->trie.pool_capacity * sizeof(BrotliTrieNode); if (dict->hash_table_data_words_) { result += sizeof(kStaticDictionaryHashWords); } if (dict->hash_table_data_lengths_) { result += sizeof(kStaticDictionaryHashLengths); } if (dict->buckets_data_) { result += sizeof(*dict->buckets_data_) * dict->buckets_alloc_size_; } if (dict->dict_words_data_) { result += sizeof(*dict->dict_words) * dict->dict_words_alloc_size_; } if (dict->words_instance_) { result += sizeof(*dict->words_instance_); /* data_size not added here: it is never allocated by the SharedEncoderDictionary, instead it always points to the file already loaded in memory. So if the caller wants to include this memory as well, add the size of the loaded dictionary file to this. */ } } return result + overhead; } return 0; /* error */ } #if defined(BROTLI_TEST) size_t MakeUncompressedStreamForTest(const uint8_t*, size_t, uint8_t*); size_t MakeUncompressedStreamForTest( const uint8_t* input, size_t input_size, uint8_t* output) { return MakeUncompressedStream(input, input_size, output); } #endif #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/utf8_util.h0000644000175000017500000000161114606651213017601 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Heuristics for deciding about the UTF8-ness of strings. */ #ifndef BROTLI_ENC_UTF8_UTIL_H_ #define BROTLI_ENC_UTF8_UTIL_H_ #include #include "../common/platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif static const double kMinUTF8Ratio = 0.75; /* Returns 1 if at least min_fraction of the bytes between pos and pos + length in the (data, mask) ring-buffer is UTF8-encoded, otherwise returns 0. */ BROTLI_INTERNAL BROTLI_BOOL BrotliIsMostlyUTF8( const uint8_t* data, const size_t pos, const size_t mask, const size_t length, const double min_fraction); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_UTF8_UTIL_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/histogram.c0000644000175000017500000000623514606651213017655 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Build per-context histograms of literals, commands and distance codes. */ #include "histogram.h" #include "../common/context.h" #include "block_splitter.h" #include "command.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif typedef struct BlockSplitIterator { const BlockSplit* split_; /* Not owned. */ size_t idx_; size_t type_; size_t length_; } BlockSplitIterator; static void InitBlockSplitIterator(BlockSplitIterator* self, const BlockSplit* split) { self->split_ = split; self->idx_ = 0; self->type_ = 0; self->length_ = split->lengths ? split->lengths[0] : 0; } static void BlockSplitIteratorNext(BlockSplitIterator* self) { if (self->length_ == 0) { ++self->idx_; self->type_ = self->split_->types[self->idx_]; self->length_ = self->split_->lengths[self->idx_]; } --self->length_; } void BrotliBuildHistogramsWithContext( const Command* cmds, const size_t num_commands, const BlockSplit* literal_split, const BlockSplit* insert_and_copy_split, const BlockSplit* dist_split, const uint8_t* ringbuffer, size_t start_pos, size_t mask, uint8_t prev_byte, uint8_t prev_byte2, const ContextType* context_modes, HistogramLiteral* literal_histograms, HistogramCommand* insert_and_copy_histograms, HistogramDistance* copy_dist_histograms) { size_t pos = start_pos; BlockSplitIterator literal_it; BlockSplitIterator insert_and_copy_it; BlockSplitIterator dist_it; size_t i; InitBlockSplitIterator(&literal_it, literal_split); InitBlockSplitIterator(&insert_and_copy_it, insert_and_copy_split); InitBlockSplitIterator(&dist_it, dist_split); for (i = 0; i < num_commands; ++i) { const Command* cmd = &cmds[i]; size_t j; BlockSplitIteratorNext(&insert_and_copy_it); HistogramAddCommand(&insert_and_copy_histograms[insert_and_copy_it.type_], cmd->cmd_prefix_); /* TODO(eustas): unwrap iterator blocks. */ for (j = cmd->insert_len_; j != 0; --j) { size_t context; BlockSplitIteratorNext(&literal_it); context = literal_it.type_; if (context_modes) { ContextLut lut = BROTLI_CONTEXT_LUT(context_modes[context]); context = (context << BROTLI_LITERAL_CONTEXT_BITS) + BROTLI_CONTEXT(prev_byte, prev_byte2, lut); } HistogramAddLiteral(&literal_histograms[context], ringbuffer[pos & mask]); prev_byte2 = prev_byte; prev_byte = ringbuffer[pos & mask]; ++pos; } pos += CommandCopyLen(cmd); if (CommandCopyLen(cmd)) { prev_byte2 = ringbuffer[(pos - 2) & mask]; prev_byte = ringbuffer[(pos - 1) & mask]; if (cmd->cmd_prefix_ >= 128) { size_t context; BlockSplitIteratorNext(&dist_it); context = (dist_it.type_ << BROTLI_DISTANCE_CONTEXT_BITS) + CommandDistanceContext(cmd); HistogramAddDistance(©_dist_histograms[context], cmd->dist_prefix_ & 0x3FF); } } } } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/metablock_inc.h0000644000175000017500000001673214606651213020462 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: FN */ #define HistogramType FN(Histogram) /* Greedy block splitter for one block category (literal, command or distance). */ typedef struct FN(BlockSplitter) { /* Alphabet size of particular block category. */ size_t alphabet_size_; /* We collect at least this many symbols for each block. */ size_t min_block_size_; /* We merge histograms A and B if entropy(A+B) < entropy(A) + entropy(B) + split_threshold_, where A is the current histogram and B is the histogram of the last or the second last block type. */ double split_threshold_; size_t num_blocks_; BlockSplit* split_; /* not owned */ HistogramType* histograms_; /* not owned */ size_t* histograms_size_; /* not owned */ /* Temporary storage for BlockSplitterFinishBlock. */ HistogramType combined_histo[2]; /* The number of symbols that we want to collect before deciding on whether or not to merge the block with a previous one or emit a new block. */ size_t target_block_size_; /* The number of symbols in the current histogram. */ size_t block_size_; /* Offset of the current histogram. */ size_t curr_histogram_ix_; /* Offset of the histograms of the previous two block types. */ size_t last_histogram_ix_[2]; /* Entropy of the previous two block types. */ double last_entropy_[2]; /* The number of times we merged the current block with the last one. */ size_t merge_last_count_; } FN(BlockSplitter); static void FN(InitBlockSplitter)( MemoryManager* m, FN(BlockSplitter)* self, size_t alphabet_size, size_t min_block_size, double split_threshold, size_t num_symbols, BlockSplit* split, HistogramType** histograms, size_t* histograms_size) { size_t max_num_blocks = num_symbols / min_block_size + 1; /* We have to allocate one more histogram than the maximum number of block types for the current histogram when the meta-block is too big. */ size_t max_num_types = BROTLI_MIN(size_t, max_num_blocks, BROTLI_MAX_NUMBER_OF_BLOCK_TYPES + 1); self->alphabet_size_ = alphabet_size; self->min_block_size_ = min_block_size; self->split_threshold_ = split_threshold; self->num_blocks_ = 0; self->split_ = split; self->histograms_size_ = histograms_size; self->target_block_size_ = min_block_size; self->block_size_ = 0; self->curr_histogram_ix_ = 0; self->merge_last_count_ = 0; BROTLI_ENSURE_CAPACITY(m, uint8_t, split->types, split->types_alloc_size, max_num_blocks); BROTLI_ENSURE_CAPACITY(m, uint32_t, split->lengths, split->lengths_alloc_size, max_num_blocks); if (BROTLI_IS_OOM(m)) return; self->split_->num_blocks = max_num_blocks; BROTLI_DCHECK(*histograms == 0); *histograms_size = max_num_types; *histograms = BROTLI_ALLOC(m, HistogramType, *histograms_size); self->histograms_ = *histograms; if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(*histograms)) return; /* Clear only current histogram. */ FN(HistogramClear)(&self->histograms_[0]); self->last_histogram_ix_[0] = self->last_histogram_ix_[1] = 0; } /* Does either of three things: (1) emits the current block with a new block type; (2) emits the current block with the type of the second last block; (3) merges the current block with the last block. */ static void FN(BlockSplitterFinishBlock)( FN(BlockSplitter)* self, BROTLI_BOOL is_final) { BlockSplit* split = self->split_; double* last_entropy = self->last_entropy_; HistogramType* histograms = self->histograms_; self->block_size_ = BROTLI_MAX(size_t, self->block_size_, self->min_block_size_); if (self->num_blocks_ == 0) { /* Create first block. */ split->lengths[0] = (uint32_t)self->block_size_; split->types[0] = 0; last_entropy[0] = BitsEntropy(histograms[0].data_, self->alphabet_size_); last_entropy[1] = last_entropy[0]; ++self->num_blocks_; ++split->num_types; ++self->curr_histogram_ix_; if (self->curr_histogram_ix_ < *self->histograms_size_) FN(HistogramClear)(&histograms[self->curr_histogram_ix_]); self->block_size_ = 0; } else if (self->block_size_ > 0) { double entropy = BitsEntropy(histograms[self->curr_histogram_ix_].data_, self->alphabet_size_); double combined_entropy[2]; double diff[2]; size_t j; for (j = 0; j < 2; ++j) { size_t last_histogram_ix = self->last_histogram_ix_[j]; self->combined_histo[j] = histograms[self->curr_histogram_ix_]; FN(HistogramAddHistogram)(&self->combined_histo[j], &histograms[last_histogram_ix]); combined_entropy[j] = BitsEntropy( &self->combined_histo[j].data_[0], self->alphabet_size_); diff[j] = combined_entropy[j] - entropy - last_entropy[j]; } if (split->num_types < BROTLI_MAX_NUMBER_OF_BLOCK_TYPES && diff[0] > self->split_threshold_ && diff[1] > self->split_threshold_) { /* Create new block. */ split->lengths[self->num_blocks_] = (uint32_t)self->block_size_; split->types[self->num_blocks_] = (uint8_t)split->num_types; self->last_histogram_ix_[1] = self->last_histogram_ix_[0]; self->last_histogram_ix_[0] = (uint8_t)split->num_types; last_entropy[1] = last_entropy[0]; last_entropy[0] = entropy; ++self->num_blocks_; ++split->num_types; ++self->curr_histogram_ix_; if (self->curr_histogram_ix_ < *self->histograms_size_) FN(HistogramClear)(&histograms[self->curr_histogram_ix_]); self->block_size_ = 0; self->merge_last_count_ = 0; self->target_block_size_ = self->min_block_size_; } else if (diff[1] < diff[0] - 20.0) { /* Combine this block with second last block. */ split->lengths[self->num_blocks_] = (uint32_t)self->block_size_; split->types[self->num_blocks_] = split->types[self->num_blocks_ - 2]; BROTLI_SWAP(size_t, self->last_histogram_ix_, 0, 1); histograms[self->last_histogram_ix_[0]] = self->combined_histo[1]; last_entropy[1] = last_entropy[0]; last_entropy[0] = combined_entropy[1]; ++self->num_blocks_; self->block_size_ = 0; FN(HistogramClear)(&histograms[self->curr_histogram_ix_]); self->merge_last_count_ = 0; self->target_block_size_ = self->min_block_size_; } else { /* Combine this block with last block. */ split->lengths[self->num_blocks_ - 1] += (uint32_t)self->block_size_; histograms[self->last_histogram_ix_[0]] = self->combined_histo[0]; last_entropy[0] = combined_entropy[0]; if (split->num_types == 1) { last_entropy[1] = last_entropy[0]; } self->block_size_ = 0; FN(HistogramClear)(&histograms[self->curr_histogram_ix_]); if (++self->merge_last_count_ > 1) { self->target_block_size_ += self->min_block_size_; } } } if (is_final) { *self->histograms_size_ = split->num_types; split->num_blocks = self->num_blocks_; } } /* Adds the next symbol to the current histogram. When the current histogram reaches the target size, decides on merging the block. */ static void FN(BlockSplitterAddSymbol)(FN(BlockSplitter)* self, size_t symbol) { FN(HistogramAdd)(&self->histograms_[self->curr_histogram_ix_], symbol); ++self->block_size_; if (self->block_size_ == self->target_block_size_) { FN(BlockSplitterFinishBlock)(self, /* is_final = */ BROTLI_FALSE); } } #undef HistogramType IO-Compress-Brotli-0.019/brotli/c/enc/compound_dictionary.h0000644000175000017500000000467514606651213021744 0ustar timtim/* Copyright 2017 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ #ifndef BROTLI_ENC_PREPARED_DICTIONARY_H_ #define BROTLI_ENC_PREPARED_DICTIONARY_H_ #include #include #include "../common/platform.h" #include "../common/constants.h" #include "memory.h" /* "Fat" prepared dictionary, could be cooked outside of C implementation, * e.g. on Java side. LZ77 data is copied inside PreparedDictionary struct. */ static const uint32_t kPreparedDictionaryMagic = 0xDEBCEDE0; static const uint32_t kSharedDictionaryMagic = 0xDEBCEDE1; static const uint32_t kManagedDictionaryMagic = 0xDEBCEDE2; /* "Lean" prepared dictionary. LZ77 data is referenced. It is the responsibility * of caller of "prepare dictionary" to keep the LZ77 data while prepared * dictionary is in use. */ static const uint32_t kLeanPreparedDictionaryMagic = 0xDEBCEDE3; static const uint64_t kPreparedDictionaryHashMul64Long = BROTLI_MAKE_UINT64_T(0x1FE35A7Bu, 0xD3579BD3u); typedef struct PreparedDictionary { uint32_t magic; uint32_t num_items; uint32_t source_size; uint32_t hash_bits; uint32_t bucket_bits; uint32_t slot_bits; /* --- Dynamic size members --- */ /* uint32_t slot_offsets[1 << slot_bits]; */ /* uint16_t heads[1 << bucket_bits]; */ /* uint32_t items[variable]; */ /* [maybe] uint8_t* source_ref, depending on magic. */ /* [maybe] uint8_t source[source_size], depending on magic. */ } PreparedDictionary; BROTLI_INTERNAL PreparedDictionary* CreatePreparedDictionary(MemoryManager* m, const uint8_t* source, size_t source_size); BROTLI_INTERNAL void DestroyPreparedDictionary(MemoryManager* m, PreparedDictionary* dictionary); typedef struct CompoundDictionary { /* LZ77 prefix, compound dictionary */ size_t num_chunks; size_t total_size; /* Client instances. */ const PreparedDictionary* chunks[SHARED_BROTLI_MAX_COMPOUND_DICTS + 1]; const uint8_t* chunk_source[SHARED_BROTLI_MAX_COMPOUND_DICTS + 1]; size_t chunk_offsets[SHARED_BROTLI_MAX_COMPOUND_DICTS + 1]; size_t num_prepared_instances_; /* Owned instances. */ PreparedDictionary* prepared_instances_[SHARED_BROTLI_MAX_COMPOUND_DICTS + 1]; } CompoundDictionary; BROTLI_INTERNAL BROTLI_BOOL AttachPreparedDictionary( CompoundDictionary* compound, const PreparedDictionary* dictionary); #endif /* BROTLI_ENC_PREPARED_DICTIONARY */ IO-Compress-Brotli-0.019/brotli/c/enc/static_dict.h0000644000175000017500000000237314606651213020156 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Class to model the static dictionary. */ #ifndef BROTLI_ENC_STATIC_DICT_H_ #define BROTLI_ENC_STATIC_DICT_H_ #include #include "../common/dictionary.h" #include "../common/platform.h" #include "encoder_dict.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #define BROTLI_MAX_STATIC_DICTIONARY_MATCH_LEN 37 static const uint32_t kInvalidMatch = 0xFFFFFFF; /* Matches data against static dictionary words, and for each length l, for which a match is found, updates matches[l] to be the minimum possible (distance << 5) + len_code. Returns 1 if matches have been found, otherwise 0. Prerequisites: matches array is at least BROTLI_MAX_STATIC_DICTIONARY_MATCH_LEN + 1 long all elements are initialized to kInvalidMatch */ BROTLI_INTERNAL BROTLI_BOOL BrotliFindAllStaticDictionaryMatches( const BrotliEncoderDictionary* dictionary, const uint8_t* data, size_t min_length, size_t max_length, uint32_t* matches); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_STATIC_DICT_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/state.h0000644000175000017500000000574014606651213017005 0ustar timtim/* Copyright 2022 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Encoder state. */ #ifndef BROTLI_ENC_STATE_H_ #define BROTLI_ENC_STATE_H_ #include #include "command.h" #include "compress_fragment.h" #include "compress_fragment_two_pass.h" #include "hash.h" #include "memory.h" #include "params.h" #include "ringbuffer.h" typedef enum BrotliEncoderStreamState { /* Default state. */ BROTLI_STREAM_PROCESSING = 0, /* Intermediate state; after next block is emitted, byte-padding should be performed before getting back to default state. */ BROTLI_STREAM_FLUSH_REQUESTED = 1, /* Last metablock was produced; no more input is acceptable. */ BROTLI_STREAM_FINISHED = 2, /* Flushing compressed block and writing meta-data block header. */ BROTLI_STREAM_METADATA_HEAD = 3, /* Writing metadata block body. */ BROTLI_STREAM_METADATA_BODY = 4 } BrotliEncoderStreamState; typedef enum BrotliEncoderFlintState { BROTLI_FLINT_NEEDS_2_BYTES = 2, BROTLI_FLINT_NEEDS_1_BYTE = 1, BROTLI_FLINT_WAITING_FOR_PROCESSING = 0, BROTLI_FLINT_WAITING_FOR_FLUSHING = -1, BROTLI_FLINT_DONE = -2 } BrotliEncoderFlintState; typedef struct BrotliEncoderStateStruct { BrotliEncoderParams params; MemoryManager memory_manager_; uint64_t input_pos_; RingBuffer ringbuffer_; size_t cmd_alloc_size_; Command* commands_; size_t num_commands_; size_t num_literals_; size_t last_insert_len_; uint64_t last_flush_pos_; uint64_t last_processed_pos_; int dist_cache_[BROTLI_NUM_DISTANCE_SHORT_CODES]; int saved_dist_cache_[4]; uint16_t last_bytes_; uint8_t last_bytes_bits_; /* "Flint" is a tiny uncompressed block emitted before the continuation block to unwire literal context from previous data. Despite being int8_t, field is actually BrotliEncoderFlintState enum. */ int8_t flint_; uint8_t prev_byte_; uint8_t prev_byte2_; size_t storage_size_; uint8_t* storage_; Hasher hasher_; /* Hash table for FAST_ONE_PASS_COMPRESSION_QUALITY mode. */ int small_table_[1 << 10]; /* 4KiB */ int* large_table_; /* Allocated only when needed */ size_t large_table_size_; BrotliOnePassArena* one_pass_arena_; BrotliTwoPassArena* two_pass_arena_; /* Command and literal buffers for FAST_TWO_PASS_COMPRESSION_QUALITY. */ uint32_t* command_buf_; uint8_t* literal_buf_; uint64_t total_in_; uint8_t* next_out_; size_t available_out_; uint64_t total_out_; /* Temporary buffer for padding flush bits or metadata block header / body. */ union { uint64_t u64[2]; uint8_t u8[16]; } tiny_buf_; uint32_t remaining_metadata_bytes_; BrotliEncoderStreamState stream_state_; BROTLI_BOOL is_last_block_emitted_; BROTLI_BOOL is_initialized_; } BrotliEncoderStateStruct; typedef struct BrotliEncoderStateStruct BrotliEncoderStateInternal; #define BrotliEncoderState BrotliEncoderStateInternal #endif // BROTLI_ENC_STATE_H_ IO-Compress-Brotli-0.019/brotli/c/enc/compound_dictionary.c0000644000175000017500000001476514606651213021740 0ustar timtim/* Copyright 2017 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ #include "compound_dictionary.h" #include #include "../common/platform.h" #include "memory.h" #include "quality.h" static PreparedDictionary* CreatePreparedDictionaryWithParams(MemoryManager* m, const uint8_t* source, size_t source_size, uint32_t bucket_bits, uint32_t slot_bits, uint32_t hash_bits, uint16_t bucket_limit) { /* Step 1: create "bloated" hasher. */ uint32_t num_slots = 1u << slot_bits; uint32_t num_buckets = 1u << bucket_bits; uint32_t hash_shift = 64u - bucket_bits; uint64_t hash_mask = (~((uint64_t)0U)) >> (64 - hash_bits); uint32_t slot_mask = num_slots - 1; size_t alloc_size = (sizeof(uint32_t) << slot_bits) + (sizeof(uint32_t) << slot_bits) + (sizeof(uint16_t) << bucket_bits) + (sizeof(uint32_t) << bucket_bits) + (sizeof(uint32_t) * source_size); uint8_t* flat = NULL; PreparedDictionary* result = NULL; uint16_t* num = NULL; uint32_t* bucket_heads = NULL; uint32_t* next_bucket = NULL; uint32_t* slot_offsets = NULL; uint16_t* heads = NULL; uint32_t* items = NULL; uint8_t** source_ref = NULL; uint32_t i; uint32_t* slot_size = NULL; uint32_t* slot_limit = NULL; uint32_t total_items = 0; if (slot_bits > 16) return NULL; if (slot_bits > bucket_bits) return NULL; if (bucket_bits - slot_bits >= 16) return NULL; flat = BROTLI_ALLOC(m, uint8_t, alloc_size); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(flat)) return NULL; slot_size = (uint32_t*)flat; slot_limit = (uint32_t*)(&slot_size[num_slots]); num = (uint16_t*)(&slot_limit[num_slots]); bucket_heads = (uint32_t*)(&num[num_buckets]); next_bucket = (uint32_t*)(&bucket_heads[num_buckets]); memset(num, 0, num_buckets * sizeof(num[0])); /* TODO(eustas): apply custom "store" order. */ for (i = 0; i + 7 < source_size; ++i) { const uint64_t h = (BROTLI_UNALIGNED_LOAD64LE(&source[i]) & hash_mask) * kPreparedDictionaryHashMul64Long; const uint32_t key = (uint32_t)(h >> hash_shift); uint16_t count = num[key]; next_bucket[i] = (count == 0) ? ((uint32_t)(-1)) : bucket_heads[key]; bucket_heads[key] = i; count++; if (count > bucket_limit) count = bucket_limit; num[key] = count; } /* Step 2: find slot limits. */ for (i = 0; i < num_slots; ++i) { BROTLI_BOOL overflow = BROTLI_FALSE; slot_limit[i] = bucket_limit; while (BROTLI_TRUE) { uint32_t limit = slot_limit[i]; size_t j; uint32_t count = 0; overflow = BROTLI_FALSE; for (j = i; j < num_buckets; j += num_slots) { uint32_t size = num[j]; /* Last chain may span behind 64K limit; overflow happens only if we are about to use 0xFFFF+ as item offset. */ if (count >= 0xFFFF) { overflow = BROTLI_TRUE; break; } if (size > limit) size = limit; count += size; } if (!overflow) { slot_size[i] = count; total_items += count; break; } slot_limit[i]--; } } /* Step 3: transfer data to "slim" hasher. */ alloc_size = sizeof(PreparedDictionary) + (sizeof(uint32_t) << slot_bits) + (sizeof(uint16_t) << bucket_bits) + (sizeof(uint32_t) * total_items) + sizeof(uint8_t*); result = (PreparedDictionary*)BROTLI_ALLOC(m, uint8_t, alloc_size); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(result)) { BROTLI_FREE(m, flat); return NULL; } slot_offsets = (uint32_t*)(&result[1]); heads = (uint16_t*)(&slot_offsets[num_slots]); items = (uint32_t*)(&heads[num_buckets]); source_ref = (uint8_t**)(&items[total_items]); result->magic = kLeanPreparedDictionaryMagic; result->num_items = total_items; result->source_size = (uint32_t)source_size; result->hash_bits = hash_bits; result->bucket_bits = bucket_bits; result->slot_bits = slot_bits; BROTLI_UNALIGNED_STORE_PTR(source_ref, source); total_items = 0; for (i = 0; i < num_slots; ++i) { slot_offsets[i] = total_items; total_items += slot_size[i]; slot_size[i] = 0; } for (i = 0; i < num_buckets; ++i) { uint32_t slot = i & slot_mask; uint32_t count = num[i]; uint32_t pos; size_t j; size_t cursor = slot_size[slot]; if (count > slot_limit[slot]) count = slot_limit[slot]; if (count == 0) { heads[i] = 0xFFFF; continue; } heads[i] = (uint16_t)cursor; cursor += slot_offsets[slot]; slot_size[slot] += count; pos = bucket_heads[i]; for (j = 0; j < count; j++) { items[cursor++] = pos; pos = next_bucket[pos]; } items[cursor - 1] |= 0x80000000; } BROTLI_FREE(m, flat); return result; } PreparedDictionary* CreatePreparedDictionary(MemoryManager* m, const uint8_t* source, size_t source_size) { uint32_t bucket_bits = 17; uint32_t slot_bits = 7; uint32_t hash_bits = 40; uint16_t bucket_limit = 32; size_t volume = 16u << bucket_bits; /* Tune parameters to fit dictionary size. */ while (volume < source_size && bucket_bits < 22) { bucket_bits++; slot_bits++; volume <<= 1; } return CreatePreparedDictionaryWithParams(m, source, source_size, bucket_bits, slot_bits, hash_bits, bucket_limit); } void DestroyPreparedDictionary(MemoryManager* m, PreparedDictionary* dictionary) { if (!dictionary) return; BROTLI_FREE(m, dictionary); } BROTLI_BOOL AttachPreparedDictionary( CompoundDictionary* compound, const PreparedDictionary* dictionary) { size_t length = 0; size_t index = 0; if (compound->num_chunks == SHARED_BROTLI_MAX_COMPOUND_DICTS) { return BROTLI_FALSE; } if (!dictionary) return BROTLI_FALSE; length = dictionary->source_size; index = compound->num_chunks; compound->total_size += length; compound->chunks[index] = dictionary; compound->chunk_offsets[index + 1] = compound->total_size; { uint32_t* slot_offsets = (uint32_t*)(&dictionary[1]); uint16_t* heads = (uint16_t*)(&slot_offsets[1u << dictionary->slot_bits]); uint32_t* items = (uint32_t*)(&heads[1u << dictionary->bucket_bits]); const void* tail = (void*)&items[dictionary->num_items]; if (dictionary->magic == kPreparedDictionaryMagic) { compound->chunk_source[index] = (const uint8_t*)tail; } else { /* dictionary->magic == kLeanPreparedDictionaryMagic */ compound->chunk_source[index] = (const uint8_t*)BROTLI_UNALIGNED_LOAD_PTR((const uint8_t**)tail); } } compound->num_chunks++; return BROTLI_TRUE; } IO-Compress-Brotli-0.019/brotli/c/enc/backward_references_hq.h0000644000175000017500000000743414606651213022336 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Function to find backward reference copies. */ #ifndef BROTLI_ENC_BACKWARD_REFERENCES_HQ_H_ #define BROTLI_ENC_BACKWARD_REFERENCES_HQ_H_ #include #include "../common/constants.h" #include "../common/context.h" #include "../common/dictionary.h" #include "../common/platform.h" #include "command.h" #include "hash.h" #include "memory.h" #include "quality.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif BROTLI_INTERNAL void BrotliCreateZopfliBackwardReferences(MemoryManager* m, size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, ContextLut literal_context_lut, const BrotliEncoderParams* params, Hasher* hasher, int* dist_cache, size_t* last_insert_len, Command* commands, size_t* num_commands, size_t* num_literals); BROTLI_INTERNAL void BrotliCreateHqZopfliBackwardReferences(MemoryManager* m, size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, ContextLut literal_context_lut, const BrotliEncoderParams* params, Hasher* hasher, int* dist_cache, size_t* last_insert_len, Command* commands, size_t* num_commands, size_t* num_literals); typedef struct ZopfliNode { /* Best length to get up to this byte (not including this byte itself) highest 7 bit is used to reconstruct the length code. */ uint32_t length; /* Distance associated with the length. */ uint32_t distance; /* Number of literal inserts before this copy; highest 5 bits contain distance short code + 1 (or zero if no short code). */ uint32_t dcode_insert_length; /* This union holds information used by dynamic-programming. During forward pass |cost| it used to store the goal function. When node is processed its |cost| is invalidated in favor of |shortcut|. On path back-tracing pass |next| is assigned the offset to next node on the path. */ union { /* Smallest cost to get to this byte from the beginning, as found so far. */ float cost; /* Offset to the next node on the path. Equals to command_length() of the next node on the path. For last node equals to BROTLI_UINT32_MAX */ uint32_t next; /* Node position that provides next distance for distance cache. */ uint32_t shortcut; } u; } ZopfliNode; BROTLI_INTERNAL void BrotliInitZopfliNodes(ZopfliNode* array, size_t length); /* Computes the shortest path of commands from position to at most position + num_bytes. On return, path->size() is the number of commands found and path[i] is the length of the i-th command (copy length plus insert length). Note that the sum of the lengths of all commands can be less than num_bytes. On return, the nodes[0..num_bytes] array will have the following "ZopfliNode array invariant": For each i in [1..num_bytes], if nodes[i].cost < kInfinity, then (1) nodes[i].copy_length() >= 2 (2) nodes[i].command_length() <= i and (3) nodes[i - nodes[i].command_length()].cost < kInfinity */ BROTLI_INTERNAL size_t BrotliZopfliComputeShortestPath( MemoryManager* m, size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, ContextLut literal_context_lut, const BrotliEncoderParams* params, const int* dist_cache, Hasher* hasher, ZopfliNode* nodes); BROTLI_INTERNAL void BrotliZopfliCreateCommands( const size_t num_bytes, const size_t block_start, const ZopfliNode* nodes, int* dist_cache, size_t* last_insert_len, const BrotliEncoderParams* params, Command* commands, size_t* num_literals); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_BACKWARD_REFERENCES_HQ_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/brotli_bit_stream.h0000644000175000017500000000662514606651213021374 0ustar timtim/* Copyright 2014 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Functions to convert brotli-related data structures into the brotli bit stream. The functions here operate under assumption that there is enough space in the storage, i.e., there are no out-of-range checks anywhere. These functions do bit addressing into a byte array. The byte array is called "storage" and the index to the bit is called storage_ix in function arguments. */ #ifndef BROTLI_ENC_BROTLI_BIT_STREAM_H_ #define BROTLI_ENC_BROTLI_BIT_STREAM_H_ #include #include "../common/context.h" #include "../common/platform.h" #include "command.h" #include "entropy_encode.h" #include "memory.h" #include "metablock.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* All Store functions here will use a storage_ix, which is always the bit position for the current storage. */ BROTLI_INTERNAL void BrotliStoreHuffmanTree(const uint8_t* depths, size_t num, HuffmanTree* tree, size_t* storage_ix, uint8_t* storage); BROTLI_INTERNAL void BrotliBuildAndStoreHuffmanTreeFast( HuffmanTree* tree, const uint32_t* histogram, const size_t histogram_total, const size_t max_bits, uint8_t* depth, uint16_t* bits, size_t* storage_ix, uint8_t* storage); /* REQUIRES: length > 0 */ /* REQUIRES: length <= (1 << 24) */ BROTLI_INTERNAL void BrotliStoreMetaBlock(MemoryManager* m, const uint8_t* input, size_t start_pos, size_t length, size_t mask, uint8_t prev_byte, uint8_t prev_byte2, BROTLI_BOOL is_last, const BrotliEncoderParams* params, ContextType literal_context_mode, const Command* commands, size_t n_commands, const MetaBlockSplit* mb, size_t* storage_ix, uint8_t* storage); /* Stores the meta-block without doing any block splitting, just collects one histogram per block category and uses that for entropy coding. REQUIRES: length > 0 REQUIRES: length <= (1 << 24) */ BROTLI_INTERNAL void BrotliStoreMetaBlockTrivial(MemoryManager* m, const uint8_t* input, size_t start_pos, size_t length, size_t mask, BROTLI_BOOL is_last, const BrotliEncoderParams* params, const Command* commands, size_t n_commands, size_t* storage_ix, uint8_t* storage); /* Same as above, but uses static prefix codes for histograms with a only a few symbols, and uses static code length prefix codes for all other histograms. REQUIRES: length > 0 REQUIRES: length <= (1 << 24) */ BROTLI_INTERNAL void BrotliStoreMetaBlockFast(MemoryManager* m, const uint8_t* input, size_t start_pos, size_t length, size_t mask, BROTLI_BOOL is_last, const BrotliEncoderParams* params, const Command* commands, size_t n_commands, size_t* storage_ix, uint8_t* storage); /* This is for storing uncompressed blocks (simple raw storage of bytes-as-bytes). REQUIRES: length > 0 REQUIRES: length <= (1 << 24) */ BROTLI_INTERNAL void BrotliStoreUncompressedMetaBlock( BROTLI_BOOL is_final_block, const uint8_t* BROTLI_RESTRICT input, size_t position, size_t mask, size_t len, size_t* BROTLI_RESTRICT storage_ix, uint8_t* BROTLI_RESTRICT storage); #if defined(BROTLI_TEST) void GetBlockLengthPrefixCodeForTest(uint32_t, size_t*, uint32_t*, uint32_t*); #endif #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_BROTLI_BIT_STREAM_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/utf8_util.c0000644000175000017500000000433514606651213017602 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Heuristics for deciding about the UTF8-ness of strings. */ #include "utf8_util.h" #include #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif static size_t BrotliParseAsUTF8( int* symbol, const uint8_t* input, size_t size) { /* ASCII */ if ((input[0] & 0x80) == 0) { *symbol = input[0]; if (*symbol > 0) { return 1; } } /* 2-byte UTF8 */ if (size > 1u && (input[0] & 0xE0) == 0xC0 && (input[1] & 0xC0) == 0x80) { *symbol = (((input[0] & 0x1F) << 6) | (input[1] & 0x3F)); if (*symbol > 0x7F) { return 2; } } /* 3-byte UFT8 */ if (size > 2u && (input[0] & 0xF0) == 0xE0 && (input[1] & 0xC0) == 0x80 && (input[2] & 0xC0) == 0x80) { *symbol = (((input[0] & 0x0F) << 12) | ((input[1] & 0x3F) << 6) | (input[2] & 0x3F)); if (*symbol > 0x7FF) { return 3; } } /* 4-byte UFT8 */ if (size > 3u && (input[0] & 0xF8) == 0xF0 && (input[1] & 0xC0) == 0x80 && (input[2] & 0xC0) == 0x80 && (input[3] & 0xC0) == 0x80) { *symbol = (((input[0] & 0x07) << 18) | ((input[1] & 0x3F) << 12) | ((input[2] & 0x3F) << 6) | (input[3] & 0x3F)); if (*symbol > 0xFFFF && *symbol <= 0x10FFFF) { return 4; } } /* Not UTF8, emit a special symbol above the UTF8-code space */ *symbol = 0x110000 | input[0]; return 1; } /* Returns 1 if at least min_fraction of the data is UTF8-encoded.*/ BROTLI_BOOL BrotliIsMostlyUTF8( const uint8_t* data, const size_t pos, const size_t mask, const size_t length, const double min_fraction) { size_t size_utf8 = 0; size_t i = 0; while (i < length) { int symbol; size_t bytes_read = BrotliParseAsUTF8(&symbol, &data[(pos + i) & mask], length - i); i += bytes_read; if (symbol < 0x110000) size_utf8 += bytes_read; } return TO_BROTLI_BOOL((double)size_utf8 > min_fraction * (double)length); } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/quality.h0000644000175000017500000001665014606651213017357 0ustar timtim/* Copyright 2016 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Constants and formulas that affect speed-ratio trade-offs and thus define quality levels. */ #ifndef BROTLI_ENC_QUALITY_H_ #define BROTLI_ENC_QUALITY_H_ #include #include "../common/platform.h" #include "params.h" #define FAST_ONE_PASS_COMPRESSION_QUALITY 0 #define FAST_TWO_PASS_COMPRESSION_QUALITY 1 #define ZOPFLIFICATION_QUALITY 10 #define HQ_ZOPFLIFICATION_QUALITY 11 #define MAX_QUALITY_FOR_STATIC_ENTROPY_CODES 2 #define MIN_QUALITY_FOR_BLOCK_SPLIT 4 #define MIN_QUALITY_FOR_NONZERO_DISTANCE_PARAMS 4 #define MIN_QUALITY_FOR_OPTIMIZE_HISTOGRAMS 4 #define MIN_QUALITY_FOR_EXTENSIVE_REFERENCE_SEARCH 5 #define MIN_QUALITY_FOR_CONTEXT_MODELING 5 #define MIN_QUALITY_FOR_HQ_CONTEXT_MODELING 7 #define MIN_QUALITY_FOR_HQ_BLOCK_SPLITTING 10 /* For quality below MIN_QUALITY_FOR_BLOCK_SPLIT there is no block splitting, so we buffer at most this much literals and commands. */ #define MAX_NUM_DELAYED_SYMBOLS 0x2FFF /* Returns hash-table size for quality levels 0 and 1. */ static BROTLI_INLINE size_t MaxHashTableSize(int quality) { return quality == FAST_ONE_PASS_COMPRESSION_QUALITY ? 1 << 15 : 1 << 17; } /* The maximum length for which the zopflification uses distinct distances. */ #define MAX_ZOPFLI_LEN_QUALITY_10 150 #define MAX_ZOPFLI_LEN_QUALITY_11 325 /* Do not thoroughly search when a long copy is found. */ #define BROTLI_LONG_COPY_QUICK_STEP 16384 static BROTLI_INLINE size_t MaxZopfliLen(const BrotliEncoderParams* params) { return params->quality <= 10 ? MAX_ZOPFLI_LEN_QUALITY_10 : MAX_ZOPFLI_LEN_QUALITY_11; } /* Number of best candidates to evaluate to expand Zopfli chain. */ static BROTLI_INLINE size_t MaxZopfliCandidates( const BrotliEncoderParams* params) { return params->quality <= 10 ? 1 : 5; } static BROTLI_INLINE void SanitizeParams(BrotliEncoderParams* params) { params->quality = BROTLI_MIN(int, BROTLI_MAX_QUALITY, BROTLI_MAX(int, BROTLI_MIN_QUALITY, params->quality)); if (params->quality <= MAX_QUALITY_FOR_STATIC_ENTROPY_CODES) { params->large_window = BROTLI_FALSE; } if (params->lgwin < BROTLI_MIN_WINDOW_BITS) { params->lgwin = BROTLI_MIN_WINDOW_BITS; } else { int max_lgwin = params->large_window ? BROTLI_LARGE_MAX_WINDOW_BITS : BROTLI_MAX_WINDOW_BITS; if (params->lgwin > max_lgwin) params->lgwin = max_lgwin; } } /* Returns optimized lg_block value. */ static BROTLI_INLINE int ComputeLgBlock(const BrotliEncoderParams* params) { int lgblock = params->lgblock; if (params->quality == FAST_ONE_PASS_COMPRESSION_QUALITY || params->quality == FAST_TWO_PASS_COMPRESSION_QUALITY) { lgblock = params->lgwin; } else if (params->quality < MIN_QUALITY_FOR_BLOCK_SPLIT) { lgblock = 14; } else if (lgblock == 0) { lgblock = 16; if (params->quality >= 9 && params->lgwin > lgblock) { lgblock = BROTLI_MIN(int, 18, params->lgwin); } } else { lgblock = BROTLI_MIN(int, BROTLI_MAX_INPUT_BLOCK_BITS, BROTLI_MAX(int, BROTLI_MIN_INPUT_BLOCK_BITS, lgblock)); } return lgblock; } /* Returns log2 of the size of main ring buffer area. Allocate at least lgwin + 1 bits for the ring buffer so that the newly added block fits there completely and we still get lgwin bits and at least read_block_size_bits + 1 bits because the copy tail length needs to be smaller than ring-buffer size. */ static BROTLI_INLINE int ComputeRbBits(const BrotliEncoderParams* params) { return 1 + BROTLI_MAX(int, params->lgwin, params->lgblock); } static BROTLI_INLINE size_t MaxMetablockSize( const BrotliEncoderParams* params) { int bits = BROTLI_MIN(int, ComputeRbBits(params), BROTLI_MAX_INPUT_BLOCK_BITS); return (size_t)1 << bits; } /* When searching for backward references and have not seen matches for a long time, we can skip some match lookups. Unsuccessful match lookups are very expensive and this kind of a heuristic speeds up compression quite a lot. At first 8 byte strides are taken and every second byte is put to hasher. After 4x more literals stride by 16 bytes, every put 4-th byte to hasher. Applied only to qualities 2 to 9. */ static BROTLI_INLINE size_t LiteralSpreeLengthForSparseSearch( const BrotliEncoderParams* params) { return params->quality < 9 ? 64 : 512; } /* Quality to hasher mapping: - q02: h02 (longest_match_quickly), b16, l5 - q03: h03 (longest_match_quickly), b17, l5 - q04: h04 (longest_match_quickly), b17, l5 - q04: h54 (longest_match_quickly), b20, l7 | for large files - q05: h05 (longest_match ), b14, l4 - q05: h06 (longest_match64 ), b15, l5 | for large files - q05: h40 (forgetful_chain ), b15, l4 | for small window - q06: h05 (longest_match ), b14, l4 - q06: h06 (longest_match64 ), b15, l5 | for large files - q06: h40 (forgetful_chain ), b15, l4 | for small window - q07: h05 (longest_match ), b15, l4 - q07: h06 (longest_match64 ), b15, l5 | for large files - q07: h41 (forgetful_chain ), b15, l4 | for small window - q08: h05 (longest_match ), b15, l4 - q08: h06 (longest_match64 ), b15, l5 | for large files - q08: h41 (forgetful_chain ), b15, l4 | for small window - q09: h05 (longest_match ), b15, l4 - q09: h06 (longest_match64 ), b15, l5 | for large files - q09: h42 (forgetful_chain ), b15, l4 | for small window - q10: t10 (to_binary_tree ), b17, l128 - q11: t10 (to_binary_tree ), b17, l128 Where "q" is quality, "h" is hasher type, "b" is bucket bits, "l" is source len. */ static BROTLI_INLINE void ChooseHasher(const BrotliEncoderParams* params, BrotliHasherParams* hparams) { if (params->quality > 9) { hparams->type = 10; } else if (params->quality == 4 && params->size_hint >= (1 << 20)) { hparams->type = 54; } else if (params->quality < 5) { hparams->type = params->quality; } else if (params->lgwin <= 16) { hparams->type = params->quality < 7 ? 40 : params->quality < 9 ? 41 : 42; } else if (params->size_hint >= (1 << 20) && params->lgwin >= 19) { hparams->type = 6; hparams->block_bits = params->quality - 1; hparams->bucket_bits = 15; hparams->num_last_distances_to_check = params->quality < 7 ? 4 : params->quality < 9 ? 10 : 16; } else { /* TODO(eustas): often previous setting (H6) is faster and denser; consider adding an option to use it. */ hparams->type = 5; hparams->block_bits = params->quality - 1; hparams->bucket_bits = params->quality < 7 ? 14 : 15; hparams->num_last_distances_to_check = params->quality < 7 ? 4 : params->quality < 9 ? 10 : 16; } if (params->lgwin > 24) { /* Different hashers for large window brotli: not for qualities <= 2, these are too fast for large window. Not for qualities >= 10: their hasher already works well with large window. So the changes are: H3 --> H35: for quality 3. H54 --> H55: for quality 4 with size hint > 1MB H6 --> H65: for qualities 5, 6, 7, 8, 9. */ if (hparams->type == 3) { hparams->type = 35; } if (hparams->type == 54) { hparams->type = 55; } if (hparams->type == 6) { hparams->type = 65; } } } #endif /* BROTLI_ENC_QUALITY_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/compress_fragment_two_pass.h0000644000175000017500000000547714606651213023331 0ustar timtim/* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Function for fast encoding of an input fragment, independently from the input history. This function uses two-pass processing: in the first pass we save the found backward matches and literal bytes into a buffer, and in the second pass we emit them into the bit stream using prefix codes built based on the actual command and literal byte histograms. */ #ifndef BROTLI_ENC_COMPRESS_FRAGMENT_TWO_PASS_H_ #define BROTLI_ENC_COMPRESS_FRAGMENT_TWO_PASS_H_ #include #include "../common/constants.h" #include "../common/platform.h" #include "entropy_encode.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* TODO(eustas): turn to macro. */ static const size_t kCompressFragmentTwoPassBlockSize = 1 << 17; typedef struct BrotliTwoPassArena { uint32_t lit_histo[256]; uint8_t lit_depth[256]; uint16_t lit_bits[256]; uint32_t cmd_histo[128]; uint8_t cmd_depth[128]; uint16_t cmd_bits[128]; /* BuildAndStoreCommandPrefixCode */ HuffmanTree tmp_tree[2 * BROTLI_NUM_LITERAL_SYMBOLS + 1]; uint8_t tmp_depth[BROTLI_NUM_COMMAND_SYMBOLS]; uint16_t tmp_bits[64]; } BrotliTwoPassArena; /* Compresses "input" string to the "*storage" buffer as one or more complete meta-blocks, and updates the "*storage_ix" bit position. If "is_last" is 1, emits an additional empty last meta-block. REQUIRES: "input_size" is greater than zero, or "is_last" is 1. REQUIRES: "input_size" is less or equal to maximal metablock size (1 << 24). REQUIRES: "command_buf" and "literal_buf" point to at least kCompressFragmentTwoPassBlockSize long arrays. REQUIRES: All elements in "table[0..table_size-1]" are initialized to zero. REQUIRES: "table_size" is a power of two OUTPUT: maximal copy distance <= |input_size| OUTPUT: maximal copy distance <= BROTLI_MAX_BACKWARD_LIMIT(18) */ BROTLI_INTERNAL void BrotliCompressFragmentTwoPass(BrotliTwoPassArena* s, const uint8_t* input, size_t input_size, BROTLI_BOOL is_last, uint32_t* command_buf, uint8_t* literal_buf, int* table, size_t table_size, size_t* storage_ix, uint8_t* storage); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_COMPRESS_FRAGMENT_TWO_PASS_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/params.h0000644000175000017500000000222114606651213017137 0ustar timtim/* Copyright 2017 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Parameters for the Brotli encoder with chosen quality levels. */ #ifndef BROTLI_ENC_PARAMS_H_ #define BROTLI_ENC_PARAMS_H_ #include #include "encoder_dict.h" typedef struct BrotliHasherParams { int type; int bucket_bits; int block_bits; int num_last_distances_to_check; } BrotliHasherParams; typedef struct BrotliDistanceParams { uint32_t distance_postfix_bits; uint32_t num_direct_distance_codes; uint32_t alphabet_size_max; uint32_t alphabet_size_limit; size_t max_distance; } BrotliDistanceParams; /* Encoding parameters */ typedef struct BrotliEncoderParams { BrotliEncoderMode mode; int quality; int lgwin; int lgblock; size_t stream_offset; size_t size_hint; BROTLI_BOOL disable_literal_context_modeling; BROTLI_BOOL large_window; BrotliHasherParams hasher; BrotliDistanceParams dist; /* TODO(eustas): rename to BrotliShared... */ SharedEncoderDictionary dictionary; } BrotliEncoderParams; #endif /* BROTLI_ENC_PARAMS_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/prefix.h0000644000175000017500000000366114606651213017162 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Functions for encoding of integers into prefix codes the amount of extra bits, and the actual values of the extra bits. */ #ifndef BROTLI_ENC_PREFIX_H_ #define BROTLI_ENC_PREFIX_H_ #include #include "../common/constants.h" #include "../common/platform.h" #include "fast_log.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* Here distance_code is an intermediate code, i.e. one of the special codes or the actual distance increased by BROTLI_NUM_DISTANCE_SHORT_CODES - 1. */ static BROTLI_INLINE void PrefixEncodeCopyDistance(size_t distance_code, size_t num_direct_codes, size_t postfix_bits, uint16_t* code, uint32_t* extra_bits) { if (distance_code < BROTLI_NUM_DISTANCE_SHORT_CODES + num_direct_codes) { *code = (uint16_t)distance_code; *extra_bits = 0; return; } else { size_t dist = ((size_t)1 << (postfix_bits + 2u)) + (distance_code - BROTLI_NUM_DISTANCE_SHORT_CODES - num_direct_codes); size_t bucket = Log2FloorNonZero(dist) - 1; size_t postfix_mask = (1u << postfix_bits) - 1; size_t postfix = dist & postfix_mask; size_t prefix = (dist >> bucket) & 1; size_t offset = (2 + prefix) << bucket; size_t nbits = bucket - postfix_bits; *code = (uint16_t)((nbits << 10) | (BROTLI_NUM_DISTANCE_SHORT_CODES + num_direct_codes + ((2 * (nbits - 1) + prefix) << postfix_bits) + postfix)); *extra_bits = (uint32_t)((dist - offset) >> postfix_bits); } } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_PREFIX_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/literal_cost.c0000644000175000017500000001331714606651213020343 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Literal cost model to allow backward reference replacement to be efficient. */ #include "literal_cost.h" #include /* memset */ #include #include "../common/platform.h" #include "fast_log.h" #include "utf8_util.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif static size_t UTF8Position(size_t last, size_t c, size_t clamp) { if (c < 128) { return 0; /* Next one is the 'Byte 1' again. */ } else if (c >= 192) { /* Next one is the 'Byte 2' of utf-8 encoding. */ return BROTLI_MIN(size_t, 1, clamp); } else { /* Let's decide over the last byte if this ends the sequence. */ if (last < 0xE0) { return 0; /* Completed two or three byte coding. */ } else { /* Next one is the 'Byte 3' of utf-8 encoding. */ return BROTLI_MIN(size_t, 2, clamp); } } } static size_t DecideMultiByteStatsLevel(size_t pos, size_t len, size_t mask, const uint8_t* data) { size_t counts[3] = { 0 }; size_t max_utf8 = 1; /* should be 2, but 1 compresses better. */ size_t last_c = 0; size_t i; for (i = 0; i < len; ++i) { size_t c = data[(pos + i) & mask]; ++counts[UTF8Position(last_c, c, 2)]; last_c = c; } if (counts[2] < 500) { max_utf8 = 1; } if (counts[1] + counts[2] < 25) { max_utf8 = 0; } return max_utf8; } static void EstimateBitCostsForLiteralsUTF8(size_t pos, size_t len, size_t mask, const uint8_t* data, size_t* histogram, float* cost) { /* max_utf8 is 0 (normal ASCII single byte modeling), 1 (for 2-byte UTF-8 modeling), or 2 (for 3-byte UTF-8 modeling). */ const size_t max_utf8 = DecideMultiByteStatsLevel(pos, len, mask, data); size_t window_half = 495; size_t in_window = BROTLI_MIN(size_t, window_half, len); size_t in_window_utf8[3] = { 0 }; size_t i; memset(histogram, 0, 3 * 256 * sizeof(histogram[0])); { /* Bootstrap histograms. */ size_t last_c = 0; size_t utf8_pos = 0; for (i = 0; i < in_window; ++i) { size_t c = data[(pos + i) & mask]; ++histogram[256 * utf8_pos + c]; ++in_window_utf8[utf8_pos]; utf8_pos = UTF8Position(last_c, c, max_utf8); last_c = c; } } /* Compute bit costs with sliding window. */ for (i = 0; i < len; ++i) { if (i >= window_half) { /* Remove a byte in the past. */ size_t c = i < window_half + 1 ? 0 : data[(pos + i - window_half - 1) & mask]; size_t last_c = i < window_half + 2 ? 0 : data[(pos + i - window_half - 2) & mask]; size_t utf8_pos2 = UTF8Position(last_c, c, max_utf8); --histogram[256 * utf8_pos2 + data[(pos + i - window_half) & mask]]; --in_window_utf8[utf8_pos2]; } if (i + window_half < len) { /* Add a byte in the future. */ size_t c = data[(pos + i + window_half - 1) & mask]; size_t last_c = data[(pos + i + window_half - 2) & mask]; size_t utf8_pos2 = UTF8Position(last_c, c, max_utf8); ++histogram[256 * utf8_pos2 + data[(pos + i + window_half) & mask]]; ++in_window_utf8[utf8_pos2]; } { size_t c = i < 1 ? 0 : data[(pos + i - 1) & mask]; size_t last_c = i < 2 ? 0 : data[(pos + i - 2) & mask]; size_t utf8_pos = UTF8Position(last_c, c, max_utf8); size_t masked_pos = (pos + i) & mask; size_t histo = histogram[256 * utf8_pos + data[masked_pos]]; double lit_cost; if (histo == 0) { histo = 1; } lit_cost = FastLog2(in_window_utf8[utf8_pos]) - FastLog2(histo); lit_cost += 0.02905; if (lit_cost < 1.0) { lit_cost *= 0.5; lit_cost += 0.5; } /* Make the first bytes more expensive -- seems to help, not sure why. Perhaps because the entropy source is changing its properties rapidly in the beginning of the file, perhaps because the beginning of the data is a statistical "anomaly". */ if (i < 2000) { lit_cost += 0.7 - ((double)(2000 - i) / 2000.0 * 0.35); } cost[i] = (float)lit_cost; } } } void BrotliEstimateBitCostsForLiterals(size_t pos, size_t len, size_t mask, const uint8_t* data, size_t* histogram, float* cost) { if (BrotliIsMostlyUTF8(data, pos, mask, len, kMinUTF8Ratio)) { EstimateBitCostsForLiteralsUTF8(pos, len, mask, data, histogram, cost); return; } else { size_t window_half = 2000; size_t in_window = BROTLI_MIN(size_t, window_half, len); size_t i; memset(histogram, 0, 256 * sizeof(histogram[0])); /* Bootstrap histogram. */ for (i = 0; i < in_window; ++i) { ++histogram[data[(pos + i) & mask]]; } /* Compute bit costs with sliding window. */ for (i = 0; i < len; ++i) { size_t histo; if (i >= window_half) { /* Remove a byte in the past. */ --histogram[data[(pos + i - window_half) & mask]]; --in_window; } if (i + window_half < len) { /* Add a byte in the future. */ ++histogram[data[(pos + i + window_half) & mask]]; ++in_window; } histo = histogram[data[(pos + i) & mask]]; if (histo == 0) { histo = 1; } { double lit_cost = FastLog2(in_window) - FastLog2(histo); lit_cost += 0.029; if (lit_cost < 1.0) { lit_cost *= 0.5; lit_cost += 0.5; } cost[i] = (float)lit_cost; } } } } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/block_encoder_inc.h0000644000175000017500000000216114606651213021301 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2014 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: FN */ #define HistogramType FN(Histogram) /* Creates entropy codes for all block types and stores them to the bit stream. */ static void FN(BuildAndStoreEntropyCodes)(MemoryManager* m, BlockEncoder* self, const HistogramType* histograms, const size_t histograms_size, const size_t alphabet_size, HuffmanTree* tree, size_t* storage_ix, uint8_t* storage) { const size_t table_size = histograms_size * self->histogram_length_; self->depths_ = BROTLI_ALLOC(m, uint8_t, table_size); self->bits_ = BROTLI_ALLOC(m, uint16_t, table_size); if (BROTLI_IS_OOM(m)) return; { size_t i; for (i = 0; i < histograms_size; ++i) { size_t ix = i * self->histogram_length_; BuildAndStoreHuffmanTree(&histograms[i].data_[0], self->histogram_length_, alphabet_size, tree, &self->depths_[ix], &self->bits_[ix], storage_ix, storage); } } } #undef HistogramType IO-Compress-Brotli-0.019/brotli/c/enc/hash_rolling_inc.h0000644000175000017500000001607214606651213021167 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2018 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: FN, JUMP, NUMBUCKETS, MASK, CHUNKLEN */ /* NUMBUCKETS / (MASK + 1) = probability of storing and using hash code. */ /* JUMP = skip bytes for speedup */ /* Rolling hash for long distance long string matches. Stores one position per bucket, bucket key is computed over a long region. */ #define HashRolling HASHER() static const uint32_t FN(kRollingHashMul32) = 69069; static const uint32_t FN(kInvalidPos) = 0xffffffff; /* This hasher uses a longer forward length, but returning a higher value here will hurt compression by the main hasher when combined with a composite hasher. The hasher tests for forward itself instead. */ static BROTLI_INLINE size_t FN(HashTypeLength)(void) { return 4; } static BROTLI_INLINE size_t FN(StoreLookahead)(void) { return 4; } /* Computes a code from a single byte. A lookup table of 256 values could be used, but simply adding 1 works about as good. */ static uint32_t FN(HashByte)(uint8_t byte) { return (uint32_t)byte + 1u; } static uint32_t FN(HashRollingFunctionInitial)(uint32_t state, uint8_t add, uint32_t factor) { return (uint32_t)(factor * state + FN(HashByte)(add)); } static uint32_t FN(HashRollingFunction)(uint32_t state, uint8_t add, uint8_t rem, uint32_t factor, uint32_t factor_remove) { return (uint32_t)(factor * state + FN(HashByte)(add) - factor_remove * FN(HashByte)(rem)); } typedef struct HashRolling { uint32_t state; uint32_t* table; size_t next_ix; uint32_t chunk_len; uint32_t factor; uint32_t factor_remove; } HashRolling; static void FN(Initialize)( HasherCommon* common, HashRolling* BROTLI_RESTRICT self, const BrotliEncoderParams* params) { size_t i; self->state = 0; self->next_ix = 0; self->factor = FN(kRollingHashMul32); /* Compute the factor of the oldest byte to remove: factor**steps modulo 0xffffffff (the multiplications rely on 32-bit overflow) */ self->factor_remove = 1; for (i = 0; i < CHUNKLEN; i += JUMP) { self->factor_remove *= self->factor; } self->table = (uint32_t*)common->extra[0]; for (i = 0; i < NUMBUCKETS; i++) { self->table[i] = FN(kInvalidPos); } BROTLI_UNUSED(params); } static void FN(Prepare)(HashRolling* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, size_t input_size, const uint8_t* BROTLI_RESTRICT data) { size_t i; /* Too small size, cannot use this hasher. */ if (input_size < CHUNKLEN) return; self->state = 0; for (i = 0; i < CHUNKLEN; i += JUMP) { self->state = FN(HashRollingFunctionInitial)( self->state, data[i], self->factor); } BROTLI_UNUSED(one_shot); } static BROTLI_INLINE void FN(HashMemAllocInBytes)( const BrotliEncoderParams* params, BROTLI_BOOL one_shot, size_t input_size, size_t* alloc_size) { BROTLI_UNUSED(params); BROTLI_UNUSED(one_shot); BROTLI_UNUSED(input_size); alloc_size[0] = NUMBUCKETS * sizeof(uint32_t); } static BROTLI_INLINE void FN(Store)(HashRolling* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix) { BROTLI_UNUSED(self); BROTLI_UNUSED(data); BROTLI_UNUSED(mask); BROTLI_UNUSED(ix); } static BROTLI_INLINE void FN(StoreRange)(HashRolling* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix_start, const size_t ix_end) { BROTLI_UNUSED(self); BROTLI_UNUSED(data); BROTLI_UNUSED(mask); BROTLI_UNUSED(ix_start); BROTLI_UNUSED(ix_end); } static BROTLI_INLINE void FN(StitchToPreviousBlock)( HashRolling* BROTLI_RESTRICT self, size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ring_buffer_mask) { /* In this case we must re-initialize the hasher from scratch from the current position. */ size_t position_masked; size_t available = num_bytes; if ((position & (JUMP - 1)) != 0) { size_t diff = JUMP - (position & (JUMP - 1)); available = (diff > available) ? 0 : (available - diff); position += diff; } position_masked = position & ring_buffer_mask; /* wrapping around ringbuffer not handled. */ if (available > ring_buffer_mask - position_masked) { available = ring_buffer_mask - position_masked; } FN(Prepare)(self, BROTLI_FALSE, available, ringbuffer + (position & ring_buffer_mask)); self->next_ix = position; BROTLI_UNUSED(num_bytes); } static BROTLI_INLINE void FN(PrepareDistanceCache)( HashRolling* BROTLI_RESTRICT self, int* BROTLI_RESTRICT distance_cache) { BROTLI_UNUSED(self); BROTLI_UNUSED(distance_cache); } static BROTLI_INLINE void FN(FindLongestMatch)( HashRolling* BROTLI_RESTRICT self, const BrotliEncoderDictionary* dictionary, const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, const int* BROTLI_RESTRICT distance_cache, const size_t cur_ix, const size_t max_length, const size_t max_backward, const size_t dictionary_distance, const size_t max_distance, HasherSearchResult* BROTLI_RESTRICT out) { const size_t cur_ix_masked = cur_ix & ring_buffer_mask; size_t pos; if ((cur_ix & (JUMP - 1)) != 0) return; /* Not enough lookahead */ if (max_length < CHUNKLEN) return; for (pos = self->next_ix; pos <= cur_ix; pos += JUMP) { uint32_t code = self->state & MASK; uint8_t rem = data[pos & ring_buffer_mask]; uint8_t add = data[(pos + CHUNKLEN) & ring_buffer_mask]; size_t found_ix = FN(kInvalidPos); self->state = FN(HashRollingFunction)( self->state, add, rem, self->factor, self->factor_remove); if (code < NUMBUCKETS) { found_ix = self->table[code]; self->table[code] = (uint32_t)pos; if (pos == cur_ix && found_ix != FN(kInvalidPos)) { /* The cast to 32-bit makes backward distances up to 4GB work even if cur_ix is above 4GB, despite using 32-bit values in the table. */ size_t backward = (uint32_t)(cur_ix - found_ix); if (backward <= max_backward) { const size_t found_ix_masked = found_ix & ring_buffer_mask; const size_t len = FindMatchLengthWithLimit(&data[found_ix_masked], &data[cur_ix_masked], max_length); if (len >= 4 && len > out->len) { score_t score = BackwardReferenceScore(len, backward); if (score > out->score) { out->len = len; out->distance = backward; out->score = score; out->len_code_delta = 0; } } } } } } self->next_ix = cur_ix + JUMP; /* NOTE: this hasher does not search in the dictionary. It is used as backup-hasher, the main hasher already searches in it. */ BROTLI_UNUSED(dictionary); BROTLI_UNUSED(distance_cache); BROTLI_UNUSED(dictionary_distance); BROTLI_UNUSED(max_distance); } #undef HashRolling IO-Compress-Brotli-0.019/brotli/c/enc/brotli_bit_stream.c0000644000175000017500000014307614606651213021371 0ustar timtim/* Copyright 2014 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Brotli bit stream functions to support the low level format. There are no compression algorithms here, just the right ordering of bits to match the specs. */ #include "brotli_bit_stream.h" #include /* memcpy, memset */ #include #include "../common/constants.h" #include "../common/context.h" #include "../common/platform.h" #include "entropy_encode.h" #include "entropy_encode_static.h" #include "fast_log.h" #include "histogram.h" #include "memory.h" #include "write_bits.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #define MAX_HUFFMAN_TREE_SIZE (2 * BROTLI_NUM_COMMAND_SYMBOLS + 1) /* The maximum size of Huffman dictionary for distances assuming that NPOSTFIX = 0 and NDIRECT = 0. */ #define MAX_SIMPLE_DISTANCE_ALPHABET_SIZE \ BROTLI_DISTANCE_ALPHABET_SIZE(0, 0, BROTLI_LARGE_MAX_DISTANCE_BITS) /* MAX_SIMPLE_DISTANCE_ALPHABET_SIZE == 140 */ static BROTLI_INLINE uint32_t BlockLengthPrefixCode(uint32_t len) { uint32_t code = (len >= 177) ? (len >= 753 ? 20 : 14) : (len >= 41 ? 7 : 0); while (code < (BROTLI_NUM_BLOCK_LEN_SYMBOLS - 1) && len >= _kBrotliPrefixCodeRanges[code + 1].offset) ++code; return code; } static BROTLI_INLINE void GetBlockLengthPrefixCode(uint32_t len, size_t* code, uint32_t* n_extra, uint32_t* extra) { *code = BlockLengthPrefixCode(len); *n_extra = _kBrotliPrefixCodeRanges[*code].nbits; *extra = len - _kBrotliPrefixCodeRanges[*code].offset; } typedef struct BlockTypeCodeCalculator { size_t last_type; size_t second_last_type; } BlockTypeCodeCalculator; static void InitBlockTypeCodeCalculator(BlockTypeCodeCalculator* self) { self->last_type = 1; self->second_last_type = 0; } static BROTLI_INLINE size_t NextBlockTypeCode( BlockTypeCodeCalculator* calculator, uint8_t type) { size_t type_code = (type == calculator->last_type + 1) ? 1u : (type == calculator->second_last_type) ? 0u : type + 2u; calculator->second_last_type = calculator->last_type; calculator->last_type = type; return type_code; } /* |nibblesbits| represents the 2 bits to encode MNIBBLES (0-3) REQUIRES: length > 0 REQUIRES: length <= (1 << 24) */ static void BrotliEncodeMlen(size_t length, uint64_t* bits, size_t* numbits, uint64_t* nibblesbits) { size_t lg = (length == 1) ? 1 : Log2FloorNonZero((uint32_t)(length - 1)) + 1; size_t mnibbles = (lg < 16 ? 16 : (lg + 3)) / 4; BROTLI_DCHECK(length > 0); BROTLI_DCHECK(length <= (1 << 24)); BROTLI_DCHECK(lg <= 24); *nibblesbits = mnibbles - 4; *numbits = mnibbles * 4; *bits = length - 1; } static BROTLI_INLINE void StoreCommandExtra( const Command* cmd, size_t* storage_ix, uint8_t* storage) { uint32_t copylen_code = CommandCopyLenCode(cmd); uint16_t inscode = GetInsertLengthCode(cmd->insert_len_); uint16_t copycode = GetCopyLengthCode(copylen_code); uint32_t insnumextra = GetInsertExtra(inscode); uint64_t insextraval = cmd->insert_len_ - GetInsertBase(inscode); uint64_t copyextraval = copylen_code - GetCopyBase(copycode); uint64_t bits = (copyextraval << insnumextra) | insextraval; BrotliWriteBits( insnumextra + GetCopyExtra(copycode), bits, storage_ix, storage); } /* Data structure that stores almost everything that is needed to encode each block switch command. */ typedef struct BlockSplitCode { BlockTypeCodeCalculator type_code_calculator; uint8_t type_depths[BROTLI_MAX_BLOCK_TYPE_SYMBOLS]; uint16_t type_bits[BROTLI_MAX_BLOCK_TYPE_SYMBOLS]; uint8_t length_depths[BROTLI_NUM_BLOCK_LEN_SYMBOLS]; uint16_t length_bits[BROTLI_NUM_BLOCK_LEN_SYMBOLS]; } BlockSplitCode; /* Stores a number between 0 and 255. */ static void StoreVarLenUint8(size_t n, size_t* storage_ix, uint8_t* storage) { if (n == 0) { BrotliWriteBits(1, 0, storage_ix, storage); } else { size_t nbits = Log2FloorNonZero(n); BrotliWriteBits(1, 1, storage_ix, storage); BrotliWriteBits(3, nbits, storage_ix, storage); BrotliWriteBits(nbits, n - ((size_t)1 << nbits), storage_ix, storage); } } /* Stores the compressed meta-block header. REQUIRES: length > 0 REQUIRES: length <= (1 << 24) */ static void StoreCompressedMetaBlockHeader(BROTLI_BOOL is_final_block, size_t length, size_t* storage_ix, uint8_t* storage) { uint64_t lenbits; size_t nlenbits; uint64_t nibblesbits; /* Write ISLAST bit. */ BrotliWriteBits(1, (uint64_t)is_final_block, storage_ix, storage); /* Write ISEMPTY bit. */ if (is_final_block) { BrotliWriteBits(1, 0, storage_ix, storage); } BrotliEncodeMlen(length, &lenbits, &nlenbits, &nibblesbits); BrotliWriteBits(2, nibblesbits, storage_ix, storage); BrotliWriteBits(nlenbits, lenbits, storage_ix, storage); if (!is_final_block) { /* Write ISUNCOMPRESSED bit. */ BrotliWriteBits(1, 0, storage_ix, storage); } } /* Stores the uncompressed meta-block header. REQUIRES: length > 0 REQUIRES: length <= (1 << 24) */ static void BrotliStoreUncompressedMetaBlockHeader(size_t length, size_t* storage_ix, uint8_t* storage) { uint64_t lenbits; size_t nlenbits; uint64_t nibblesbits; /* Write ISLAST bit. Uncompressed block cannot be the last one, so set to 0. */ BrotliWriteBits(1, 0, storage_ix, storage); BrotliEncodeMlen(length, &lenbits, &nlenbits, &nibblesbits); BrotliWriteBits(2, nibblesbits, storage_ix, storage); BrotliWriteBits(nlenbits, lenbits, storage_ix, storage); /* Write ISUNCOMPRESSED bit. */ BrotliWriteBits(1, 1, storage_ix, storage); } static void BrotliStoreHuffmanTreeOfHuffmanTreeToBitMask( const int num_codes, const uint8_t* code_length_bitdepth, size_t* storage_ix, uint8_t* storage) { static const uint8_t kStorageOrder[BROTLI_CODE_LENGTH_CODES] = { 1, 2, 3, 4, 0, 5, 17, 6, 16, 7, 8, 9, 10, 11, 12, 13, 14, 15 }; /* The bit lengths of the Huffman code over the code length alphabet are compressed with the following static Huffman code: Symbol Code ------ ---- 0 00 1 1110 2 110 3 01 4 10 5 1111 */ static const uint8_t kHuffmanBitLengthHuffmanCodeSymbols[6] = { 0, 7, 3, 2, 1, 15 }; static const uint8_t kHuffmanBitLengthHuffmanCodeBitLengths[6] = { 2, 4, 3, 2, 2, 4 }; size_t skip_some = 0; /* skips none. */ /* Throw away trailing zeros: */ size_t codes_to_store = BROTLI_CODE_LENGTH_CODES; if (num_codes > 1) { for (; codes_to_store > 0; --codes_to_store) { if (code_length_bitdepth[kStorageOrder[codes_to_store - 1]] != 0) { break; } } } if (code_length_bitdepth[kStorageOrder[0]] == 0 && code_length_bitdepth[kStorageOrder[1]] == 0) { skip_some = 2; /* skips two. */ if (code_length_bitdepth[kStorageOrder[2]] == 0) { skip_some = 3; /* skips three. */ } } BrotliWriteBits(2, skip_some, storage_ix, storage); { size_t i; for (i = skip_some; i < codes_to_store; ++i) { size_t l = code_length_bitdepth[kStorageOrder[i]]; BrotliWriteBits(kHuffmanBitLengthHuffmanCodeBitLengths[l], kHuffmanBitLengthHuffmanCodeSymbols[l], storage_ix, storage); } } } static void BrotliStoreHuffmanTreeToBitMask( const size_t huffman_tree_size, const uint8_t* huffman_tree, const uint8_t* huffman_tree_extra_bits, const uint8_t* code_length_bitdepth, const uint16_t* code_length_bitdepth_symbols, size_t* BROTLI_RESTRICT storage_ix, uint8_t* BROTLI_RESTRICT storage) { size_t i; for (i = 0; i < huffman_tree_size; ++i) { size_t ix = huffman_tree[i]; BrotliWriteBits(code_length_bitdepth[ix], code_length_bitdepth_symbols[ix], storage_ix, storage); /* Extra bits */ switch (ix) { case BROTLI_REPEAT_PREVIOUS_CODE_LENGTH: BrotliWriteBits(2, huffman_tree_extra_bits[i], storage_ix, storage); break; case BROTLI_REPEAT_ZERO_CODE_LENGTH: BrotliWriteBits(3, huffman_tree_extra_bits[i], storage_ix, storage); break; } } } static void StoreSimpleHuffmanTree(const uint8_t* depths, size_t symbols[4], size_t num_symbols, size_t max_bits, size_t* storage_ix, uint8_t* storage) { /* value of 1 indicates a simple Huffman code */ BrotliWriteBits(2, 1, storage_ix, storage); BrotliWriteBits(2, num_symbols - 1, storage_ix, storage); /* NSYM - 1 */ { /* Sort */ size_t i; for (i = 0; i < num_symbols; i++) { size_t j; for (j = i + 1; j < num_symbols; j++) { if (depths[symbols[j]] < depths[symbols[i]]) { BROTLI_SWAP(size_t, symbols, j, i); } } } } if (num_symbols == 2) { BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); BrotliWriteBits(max_bits, symbols[1], storage_ix, storage); } else if (num_symbols == 3) { BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); BrotliWriteBits(max_bits, symbols[1], storage_ix, storage); BrotliWriteBits(max_bits, symbols[2], storage_ix, storage); } else { BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); BrotliWriteBits(max_bits, symbols[1], storage_ix, storage); BrotliWriteBits(max_bits, symbols[2], storage_ix, storage); BrotliWriteBits(max_bits, symbols[3], storage_ix, storage); /* tree-select */ BrotliWriteBits(1, depths[symbols[0]] == 1 ? 1 : 0, storage_ix, storage); } } /* num = alphabet size depths = symbol depths */ void BrotliStoreHuffmanTree(const uint8_t* depths, size_t num, HuffmanTree* tree, size_t* storage_ix, uint8_t* storage) { /* Write the Huffman tree into the brotli-representation. The command alphabet is the largest, so this allocation will fit all alphabets. */ /* TODO(eustas): fix me */ uint8_t huffman_tree[BROTLI_NUM_COMMAND_SYMBOLS]; uint8_t huffman_tree_extra_bits[BROTLI_NUM_COMMAND_SYMBOLS]; size_t huffman_tree_size = 0; uint8_t code_length_bitdepth[BROTLI_CODE_LENGTH_CODES] = { 0 }; uint16_t code_length_bitdepth_symbols[BROTLI_CODE_LENGTH_CODES]; uint32_t huffman_tree_histogram[BROTLI_CODE_LENGTH_CODES] = { 0 }; size_t i; int num_codes = 0; size_t code = 0; BROTLI_DCHECK(num <= BROTLI_NUM_COMMAND_SYMBOLS); BrotliWriteHuffmanTree(depths, num, &huffman_tree_size, huffman_tree, huffman_tree_extra_bits); /* Calculate the statistics of the Huffman tree in brotli-representation. */ for (i = 0; i < huffman_tree_size; ++i) { ++huffman_tree_histogram[huffman_tree[i]]; } for (i = 0; i < BROTLI_CODE_LENGTH_CODES; ++i) { if (huffman_tree_histogram[i]) { if (num_codes == 0) { code = i; num_codes = 1; } else if (num_codes == 1) { num_codes = 2; break; } } } /* Calculate another Huffman tree to use for compressing both the earlier Huffman tree with. */ BrotliCreateHuffmanTree(huffman_tree_histogram, BROTLI_CODE_LENGTH_CODES, 5, tree, code_length_bitdepth); BrotliConvertBitDepthsToSymbols(code_length_bitdepth, BROTLI_CODE_LENGTH_CODES, code_length_bitdepth_symbols); /* Now, we have all the data, let's start storing it */ BrotliStoreHuffmanTreeOfHuffmanTreeToBitMask(num_codes, code_length_bitdepth, storage_ix, storage); if (num_codes == 1) { code_length_bitdepth[code] = 0; } /* Store the real Huffman tree now. */ BrotliStoreHuffmanTreeToBitMask(huffman_tree_size, huffman_tree, huffman_tree_extra_bits, code_length_bitdepth, code_length_bitdepth_symbols, storage_ix, storage); } /* Builds a Huffman tree from histogram[0:length] into depth[0:length] and bits[0:length] and stores the encoded tree to the bit stream. */ static void BuildAndStoreHuffmanTree(const uint32_t* histogram, const size_t histogram_length, const size_t alphabet_size, HuffmanTree* tree, uint8_t* depth, uint16_t* bits, size_t* storage_ix, uint8_t* storage) { size_t count = 0; size_t s4[4] = { 0 }; size_t i; size_t max_bits = 0; for (i = 0; i < histogram_length; i++) { if (histogram[i]) { if (count < 4) { s4[count] = i; } else if (count > 4) { break; } count++; } } { size_t max_bits_counter = alphabet_size - 1; while (max_bits_counter) { max_bits_counter >>= 1; ++max_bits; } } if (count <= 1) { BrotliWriteBits(4, 1, storage_ix, storage); BrotliWriteBits(max_bits, s4[0], storage_ix, storage); depth[s4[0]] = 0; bits[s4[0]] = 0; return; } memset(depth, 0, histogram_length * sizeof(depth[0])); BrotliCreateHuffmanTree(histogram, histogram_length, 15, tree, depth); BrotliConvertBitDepthsToSymbols(depth, histogram_length, bits); if (count <= 4) { StoreSimpleHuffmanTree(depth, s4, count, max_bits, storage_ix, storage); } else { BrotliStoreHuffmanTree(depth, histogram_length, tree, storage_ix, storage); } } static BROTLI_INLINE BROTLI_BOOL SortHuffmanTree( const HuffmanTree* v0, const HuffmanTree* v1) { return TO_BROTLI_BOOL(v0->total_count_ < v1->total_count_); } void BrotliBuildAndStoreHuffmanTreeFast(HuffmanTree* tree, const uint32_t* histogram, const size_t histogram_total, const size_t max_bits, uint8_t* depth, uint16_t* bits, size_t* storage_ix, uint8_t* storage) { size_t count = 0; size_t symbols[4] = { 0 }; size_t length = 0; size_t total = histogram_total; while (total != 0) { if (histogram[length]) { if (count < 4) { symbols[count] = length; } ++count; total -= histogram[length]; } ++length; } if (count <= 1) { BrotliWriteBits(4, 1, storage_ix, storage); BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); depth[symbols[0]] = 0; bits[symbols[0]] = 0; return; } memset(depth, 0, length * sizeof(depth[0])); { uint32_t count_limit; for (count_limit = 1; ; count_limit *= 2) { HuffmanTree* node = tree; size_t l; for (l = length; l != 0;) { --l; if (histogram[l]) { if (BROTLI_PREDICT_TRUE(histogram[l] >= count_limit)) { InitHuffmanTree(node, histogram[l], -1, (int16_t)l); } else { InitHuffmanTree(node, count_limit, -1, (int16_t)l); } ++node; } } { const int n = (int)(node - tree); HuffmanTree sentinel; int i = 0; /* Points to the next leaf node. */ int j = n + 1; /* Points to the next non-leaf node. */ int k; SortHuffmanTreeItems(tree, (size_t)n, SortHuffmanTree); /* The nodes are: [0, n): the sorted leaf nodes that we start with. [n]: we add a sentinel here. [n + 1, 2n): new parent nodes are added here, starting from (n+1). These are naturally in ascending order. [2n]: we add a sentinel at the end as well. There will be (2n+1) elements at the end. */ InitHuffmanTree(&sentinel, BROTLI_UINT32_MAX, -1, -1); *node++ = sentinel; *node++ = sentinel; for (k = n - 1; k > 0; --k) { int left, right; if (tree[i].total_count_ <= tree[j].total_count_) { left = i; ++i; } else { left = j; ++j; } if (tree[i].total_count_ <= tree[j].total_count_) { right = i; ++i; } else { right = j; ++j; } /* The sentinel node becomes the parent node. */ node[-1].total_count_ = tree[left].total_count_ + tree[right].total_count_; node[-1].index_left_ = (int16_t)left; node[-1].index_right_or_value_ = (int16_t)right; /* Add back the last sentinel node. */ *node++ = sentinel; } if (BrotliSetDepth(2 * n - 1, tree, depth, 14)) { /* We need to pack the Huffman tree in 14 bits. If this was not successful, add fake entities to the lowest values and retry. */ break; } } } } BrotliConvertBitDepthsToSymbols(depth, length, bits); if (count <= 4) { size_t i; /* value of 1 indicates a simple Huffman code */ BrotliWriteBits(2, 1, storage_ix, storage); BrotliWriteBits(2, count - 1, storage_ix, storage); /* NSYM - 1 */ /* Sort */ for (i = 0; i < count; i++) { size_t j; for (j = i + 1; j < count; j++) { if (depth[symbols[j]] < depth[symbols[i]]) { BROTLI_SWAP(size_t, symbols, j, i); } } } if (count == 2) { BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); BrotliWriteBits(max_bits, symbols[1], storage_ix, storage); } else if (count == 3) { BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); BrotliWriteBits(max_bits, symbols[1], storage_ix, storage); BrotliWriteBits(max_bits, symbols[2], storage_ix, storage); } else { BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); BrotliWriteBits(max_bits, symbols[1], storage_ix, storage); BrotliWriteBits(max_bits, symbols[2], storage_ix, storage); BrotliWriteBits(max_bits, symbols[3], storage_ix, storage); /* tree-select */ BrotliWriteBits(1, depth[symbols[0]] == 1 ? 1 : 0, storage_ix, storage); } } else { uint8_t previous_value = 8; size_t i; /* Complex Huffman Tree */ StoreStaticCodeLengthCode(storage_ix, storage); /* Actual RLE coding. */ for (i = 0; i < length;) { const uint8_t value = depth[i]; size_t reps = 1; size_t k; for (k = i + 1; k < length && depth[k] == value; ++k) { ++reps; } i += reps; if (value == 0) { BrotliWriteBits(kZeroRepsDepth[reps], kZeroRepsBits[reps], storage_ix, storage); } else { if (previous_value != value) { BrotliWriteBits(kCodeLengthDepth[value], kCodeLengthBits[value], storage_ix, storage); --reps; } if (reps < 3) { while (reps != 0) { reps--; BrotliWriteBits(kCodeLengthDepth[value], kCodeLengthBits[value], storage_ix, storage); } } else { reps -= 3; BrotliWriteBits(kNonZeroRepsDepth[reps], kNonZeroRepsBits[reps], storage_ix, storage); } previous_value = value; } } } } static size_t IndexOf(const uint8_t* v, size_t v_size, uint8_t value) { size_t i = 0; for (; i < v_size; ++i) { if (v[i] == value) return i; } return i; } static void MoveToFront(uint8_t* v, size_t index) { uint8_t value = v[index]; size_t i; for (i = index; i != 0; --i) { v[i] = v[i - 1]; } v[0] = value; } static void MoveToFrontTransform(const uint32_t* BROTLI_RESTRICT v_in, const size_t v_size, uint32_t* v_out) { size_t i; uint8_t mtf[256]; uint32_t max_value; if (v_size == 0) { return; } max_value = v_in[0]; for (i = 1; i < v_size; ++i) { if (v_in[i] > max_value) max_value = v_in[i]; } BROTLI_DCHECK(max_value < 256u); for (i = 0; i <= max_value; ++i) { mtf[i] = (uint8_t)i; } { size_t mtf_size = max_value + 1; for (i = 0; i < v_size; ++i) { size_t index = IndexOf(mtf, mtf_size, (uint8_t)v_in[i]); BROTLI_DCHECK(index < mtf_size); v_out[i] = (uint32_t)index; MoveToFront(mtf, index); } } } /* Finds runs of zeros in v[0..in_size) and replaces them with a prefix code of the run length plus extra bits (lower 9 bits is the prefix code and the rest are the extra bits). Non-zero values in v[] are shifted by *max_length_prefix. Will not create prefix codes bigger than the initial value of *max_run_length_prefix. The prefix code of run length L is simply Log2Floor(L) and the number of extra bits is the same as the prefix code. */ static void RunLengthCodeZeros(const size_t in_size, uint32_t* BROTLI_RESTRICT v, size_t* BROTLI_RESTRICT out_size, uint32_t* BROTLI_RESTRICT max_run_length_prefix) { uint32_t max_reps = 0; size_t i; uint32_t max_prefix; for (i = 0; i < in_size;) { uint32_t reps = 0; for (; i < in_size && v[i] != 0; ++i) ; for (; i < in_size && v[i] == 0; ++i) { ++reps; } max_reps = BROTLI_MAX(uint32_t, reps, max_reps); } max_prefix = max_reps > 0 ? Log2FloorNonZero(max_reps) : 0; max_prefix = BROTLI_MIN(uint32_t, max_prefix, *max_run_length_prefix); *max_run_length_prefix = max_prefix; *out_size = 0; for (i = 0; i < in_size;) { BROTLI_DCHECK(*out_size <= i); if (v[i] != 0) { v[*out_size] = v[i] + *max_run_length_prefix; ++i; ++(*out_size); } else { uint32_t reps = 1; size_t k; for (k = i + 1; k < in_size && v[k] == 0; ++k) { ++reps; } i += reps; while (reps != 0) { if (reps < (2u << max_prefix)) { uint32_t run_length_prefix = Log2FloorNonZero(reps); const uint32_t extra_bits = reps - (1u << run_length_prefix); v[*out_size] = run_length_prefix + (extra_bits << 9); ++(*out_size); break; } else { const uint32_t extra_bits = (1u << max_prefix) - 1u; v[*out_size] = max_prefix + (extra_bits << 9); reps -= (2u << max_prefix) - 1u; ++(*out_size); } } } } } #define SYMBOL_BITS 9 typedef struct EncodeContextMapArena { uint32_t histogram[BROTLI_MAX_CONTEXT_MAP_SYMBOLS]; uint8_t depths[BROTLI_MAX_CONTEXT_MAP_SYMBOLS]; uint16_t bits[BROTLI_MAX_CONTEXT_MAP_SYMBOLS]; } EncodeContextMapArena; static void EncodeContextMap(MemoryManager* m, EncodeContextMapArena* arena, const uint32_t* context_map, size_t context_map_size, size_t num_clusters, HuffmanTree* tree, size_t* storage_ix, uint8_t* storage) { size_t i; uint32_t* rle_symbols; uint32_t max_run_length_prefix = 6; size_t num_rle_symbols = 0; uint32_t* BROTLI_RESTRICT const histogram = arena->histogram; static const uint32_t kSymbolMask = (1u << SYMBOL_BITS) - 1u; uint8_t* BROTLI_RESTRICT const depths = arena->depths; uint16_t* BROTLI_RESTRICT const bits = arena->bits; StoreVarLenUint8(num_clusters - 1, storage_ix, storage); if (num_clusters == 1) { return; } rle_symbols = BROTLI_ALLOC(m, uint32_t, context_map_size); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(rle_symbols)) return; MoveToFrontTransform(context_map, context_map_size, rle_symbols); RunLengthCodeZeros(context_map_size, rle_symbols, &num_rle_symbols, &max_run_length_prefix); memset(histogram, 0, sizeof(arena->histogram)); for (i = 0; i < num_rle_symbols; ++i) { ++histogram[rle_symbols[i] & kSymbolMask]; } { BROTLI_BOOL use_rle = TO_BROTLI_BOOL(max_run_length_prefix > 0); BrotliWriteBits(1, (uint64_t)use_rle, storage_ix, storage); if (use_rle) { BrotliWriteBits(4, max_run_length_prefix - 1, storage_ix, storage); } } BuildAndStoreHuffmanTree(histogram, num_clusters + max_run_length_prefix, num_clusters + max_run_length_prefix, tree, depths, bits, storage_ix, storage); for (i = 0; i < num_rle_symbols; ++i) { const uint32_t rle_symbol = rle_symbols[i] & kSymbolMask; const uint32_t extra_bits_val = rle_symbols[i] >> SYMBOL_BITS; BrotliWriteBits(depths[rle_symbol], bits[rle_symbol], storage_ix, storage); if (rle_symbol > 0 && rle_symbol <= max_run_length_prefix) { BrotliWriteBits(rle_symbol, extra_bits_val, storage_ix, storage); } } BrotliWriteBits(1, 1, storage_ix, storage); /* use move-to-front */ BROTLI_FREE(m, rle_symbols); } /* Stores the block switch command with index block_ix to the bit stream. */ static BROTLI_INLINE void StoreBlockSwitch(BlockSplitCode* code, const uint32_t block_len, const uint8_t block_type, BROTLI_BOOL is_first_block, size_t* storage_ix, uint8_t* storage) { size_t typecode = NextBlockTypeCode(&code->type_code_calculator, block_type); size_t lencode; uint32_t len_nextra; uint32_t len_extra; if (!is_first_block) { BrotliWriteBits(code->type_depths[typecode], code->type_bits[typecode], storage_ix, storage); } GetBlockLengthPrefixCode(block_len, &lencode, &len_nextra, &len_extra); BrotliWriteBits(code->length_depths[lencode], code->length_bits[lencode], storage_ix, storage); BrotliWriteBits(len_nextra, len_extra, storage_ix, storage); } /* Builds a BlockSplitCode data structure from the block split given by the vector of block types and block lengths and stores it to the bit stream. */ static void BuildAndStoreBlockSplitCode(const uint8_t* types, const uint32_t* lengths, const size_t num_blocks, const size_t num_types, HuffmanTree* tree, BlockSplitCode* code, size_t* storage_ix, uint8_t* storage) { uint32_t type_histo[BROTLI_MAX_BLOCK_TYPE_SYMBOLS]; uint32_t length_histo[BROTLI_NUM_BLOCK_LEN_SYMBOLS]; size_t i; BlockTypeCodeCalculator type_code_calculator; memset(type_histo, 0, (num_types + 2) * sizeof(type_histo[0])); memset(length_histo, 0, sizeof(length_histo)); InitBlockTypeCodeCalculator(&type_code_calculator); for (i = 0; i < num_blocks; ++i) { size_t type_code = NextBlockTypeCode(&type_code_calculator, types[i]); if (i != 0) ++type_histo[type_code]; ++length_histo[BlockLengthPrefixCode(lengths[i])]; } StoreVarLenUint8(num_types - 1, storage_ix, storage); if (num_types > 1) { /* TODO(eustas): else? could StoreBlockSwitch occur? */ BuildAndStoreHuffmanTree(&type_histo[0], num_types + 2, num_types + 2, tree, &code->type_depths[0], &code->type_bits[0], storage_ix, storage); BuildAndStoreHuffmanTree(&length_histo[0], BROTLI_NUM_BLOCK_LEN_SYMBOLS, BROTLI_NUM_BLOCK_LEN_SYMBOLS, tree, &code->length_depths[0], &code->length_bits[0], storage_ix, storage); StoreBlockSwitch(code, lengths[0], types[0], 1, storage_ix, storage); } } /* Stores a context map where the histogram type is always the block type. */ static void StoreTrivialContextMap(EncodeContextMapArena* arena, size_t num_types, size_t context_bits, HuffmanTree* tree, size_t* storage_ix, uint8_t* storage) { StoreVarLenUint8(num_types - 1, storage_ix, storage); if (num_types > 1) { size_t repeat_code = context_bits - 1u; size_t repeat_bits = (1u << repeat_code) - 1u; size_t alphabet_size = num_types + repeat_code; uint32_t* BROTLI_RESTRICT const histogram = arena->histogram; uint8_t* BROTLI_RESTRICT const depths = arena->depths; uint16_t* BROTLI_RESTRICT const bits = arena->bits; size_t i; memset(histogram, 0, alphabet_size * sizeof(histogram[0])); /* Write RLEMAX. */ BrotliWriteBits(1, 1, storage_ix, storage); BrotliWriteBits(4, repeat_code - 1, storage_ix, storage); histogram[repeat_code] = (uint32_t)num_types; histogram[0] = 1; for (i = context_bits; i < alphabet_size; ++i) { histogram[i] = 1; } BuildAndStoreHuffmanTree(histogram, alphabet_size, alphabet_size, tree, depths, bits, storage_ix, storage); for (i = 0; i < num_types; ++i) { size_t code = (i == 0 ? 0 : i + context_bits - 1); BrotliWriteBits(depths[code], bits[code], storage_ix, storage); BrotliWriteBits( depths[repeat_code], bits[repeat_code], storage_ix, storage); BrotliWriteBits(repeat_code, repeat_bits, storage_ix, storage); } /* Write IMTF (inverse-move-to-front) bit. */ BrotliWriteBits(1, 1, storage_ix, storage); } } /* Manages the encoding of one block category (literal, command or distance). */ typedef struct BlockEncoder { size_t histogram_length_; size_t num_block_types_; const uint8_t* block_types_; /* Not owned. */ const uint32_t* block_lengths_; /* Not owned. */ size_t num_blocks_; BlockSplitCode block_split_code_; size_t block_ix_; size_t block_len_; size_t entropy_ix_; uint8_t* depths_; uint16_t* bits_; } BlockEncoder; static void InitBlockEncoder(BlockEncoder* self, size_t histogram_length, size_t num_block_types, const uint8_t* block_types, const uint32_t* block_lengths, const size_t num_blocks) { self->histogram_length_ = histogram_length; self->num_block_types_ = num_block_types; self->block_types_ = block_types; self->block_lengths_ = block_lengths; self->num_blocks_ = num_blocks; InitBlockTypeCodeCalculator(&self->block_split_code_.type_code_calculator); self->block_ix_ = 0; self->block_len_ = num_blocks == 0 ? 0 : block_lengths[0]; self->entropy_ix_ = 0; self->depths_ = 0; self->bits_ = 0; } static void CleanupBlockEncoder(MemoryManager* m, BlockEncoder* self) { BROTLI_FREE(m, self->depths_); BROTLI_FREE(m, self->bits_); } /* Creates entropy codes of block lengths and block types and stores them to the bit stream. */ static void BuildAndStoreBlockSwitchEntropyCodes(BlockEncoder* self, HuffmanTree* tree, size_t* storage_ix, uint8_t* storage) { BuildAndStoreBlockSplitCode(self->block_types_, self->block_lengths_, self->num_blocks_, self->num_block_types_, tree, &self->block_split_code_, storage_ix, storage); } /* Stores the next symbol with the entropy code of the current block type. Updates the block type and block length at block boundaries. */ static void StoreSymbol(BlockEncoder* self, size_t symbol, size_t* storage_ix, uint8_t* storage) { if (self->block_len_ == 0) { size_t block_ix = ++self->block_ix_; uint32_t block_len = self->block_lengths_[block_ix]; uint8_t block_type = self->block_types_[block_ix]; self->block_len_ = block_len; self->entropy_ix_ = block_type * self->histogram_length_; StoreBlockSwitch(&self->block_split_code_, block_len, block_type, 0, storage_ix, storage); } --self->block_len_; { size_t ix = self->entropy_ix_ + symbol; BrotliWriteBits(self->depths_[ix], self->bits_[ix], storage_ix, storage); } } /* Stores the next symbol with the entropy code of the current block type and context value. Updates the block type and block length at block boundaries. */ static void StoreSymbolWithContext(BlockEncoder* self, size_t symbol, size_t context, const uint32_t* context_map, size_t* storage_ix, uint8_t* storage, const size_t context_bits) { if (self->block_len_ == 0) { size_t block_ix = ++self->block_ix_; uint32_t block_len = self->block_lengths_[block_ix]; uint8_t block_type = self->block_types_[block_ix]; self->block_len_ = block_len; self->entropy_ix_ = (size_t)block_type << context_bits; StoreBlockSwitch(&self->block_split_code_, block_len, block_type, 0, storage_ix, storage); } --self->block_len_; { size_t histo_ix = context_map[self->entropy_ix_ + context]; size_t ix = histo_ix * self->histogram_length_ + symbol; BrotliWriteBits(self->depths_[ix], self->bits_[ix], storage_ix, storage); } } #define FN(X) X ## Literal /* NOLINTNEXTLINE(build/include) */ #include "block_encoder_inc.h" #undef FN #define FN(X) X ## Command /* NOLINTNEXTLINE(build/include) */ #include "block_encoder_inc.h" #undef FN #define FN(X) X ## Distance /* NOLINTNEXTLINE(build/include) */ #include "block_encoder_inc.h" #undef FN static void JumpToByteBoundary(size_t* storage_ix, uint8_t* storage) { *storage_ix = (*storage_ix + 7u) & ~7u; storage[*storage_ix >> 3] = 0; } typedef struct StoreMetablockArena { BlockEncoder literal_enc; BlockEncoder command_enc; BlockEncoder distance_enc; EncodeContextMapArena context_map_arena; } StoreMetablockArena; void BrotliStoreMetaBlock(MemoryManager* m, const uint8_t* input, size_t start_pos, size_t length, size_t mask, uint8_t prev_byte, uint8_t prev_byte2, BROTLI_BOOL is_last, const BrotliEncoderParams* params, ContextType literal_context_mode, const Command* commands, size_t n_commands, const MetaBlockSplit* mb, size_t* storage_ix, uint8_t* storage) { size_t pos = start_pos; size_t i; uint32_t num_distance_symbols = params->dist.alphabet_size_max; uint32_t num_effective_distance_symbols = params->dist.alphabet_size_limit; HuffmanTree* tree; ContextLut literal_context_lut = BROTLI_CONTEXT_LUT(literal_context_mode); StoreMetablockArena* arena = NULL; BlockEncoder* literal_enc = NULL; BlockEncoder* command_enc = NULL; BlockEncoder* distance_enc = NULL; const BrotliDistanceParams* dist = ¶ms->dist; BROTLI_DCHECK( num_effective_distance_symbols <= BROTLI_NUM_HISTOGRAM_DISTANCE_SYMBOLS); StoreCompressedMetaBlockHeader(is_last, length, storage_ix, storage); tree = BROTLI_ALLOC(m, HuffmanTree, MAX_HUFFMAN_TREE_SIZE); arena = BROTLI_ALLOC(m, StoreMetablockArena, 1); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(tree) || BROTLI_IS_NULL(arena)) return; literal_enc = &arena->literal_enc; command_enc = &arena->command_enc; distance_enc = &arena->distance_enc; InitBlockEncoder(literal_enc, BROTLI_NUM_LITERAL_SYMBOLS, mb->literal_split.num_types, mb->literal_split.types, mb->literal_split.lengths, mb->literal_split.num_blocks); InitBlockEncoder(command_enc, BROTLI_NUM_COMMAND_SYMBOLS, mb->command_split.num_types, mb->command_split.types, mb->command_split.lengths, mb->command_split.num_blocks); InitBlockEncoder(distance_enc, num_effective_distance_symbols, mb->distance_split.num_types, mb->distance_split.types, mb->distance_split.lengths, mb->distance_split.num_blocks); BuildAndStoreBlockSwitchEntropyCodes(literal_enc, tree, storage_ix, storage); BuildAndStoreBlockSwitchEntropyCodes(command_enc, tree, storage_ix, storage); BuildAndStoreBlockSwitchEntropyCodes(distance_enc, tree, storage_ix, storage); BrotliWriteBits(2, dist->distance_postfix_bits, storage_ix, storage); BrotliWriteBits( 4, dist->num_direct_distance_codes >> dist->distance_postfix_bits, storage_ix, storage); for (i = 0; i < mb->literal_split.num_types; ++i) { BrotliWriteBits(2, literal_context_mode, storage_ix, storage); } if (mb->literal_context_map_size == 0) { StoreTrivialContextMap( &arena->context_map_arena, mb->literal_histograms_size, BROTLI_LITERAL_CONTEXT_BITS, tree, storage_ix, storage); } else { EncodeContextMap(m, &arena->context_map_arena, mb->literal_context_map, mb->literal_context_map_size, mb->literal_histograms_size, tree, storage_ix, storage); if (BROTLI_IS_OOM(m)) return; } if (mb->distance_context_map_size == 0) { StoreTrivialContextMap( &arena->context_map_arena, mb->distance_histograms_size, BROTLI_DISTANCE_CONTEXT_BITS, tree, storage_ix, storage); } else { EncodeContextMap(m, &arena->context_map_arena, mb->distance_context_map, mb->distance_context_map_size, mb->distance_histograms_size, tree, storage_ix, storage); if (BROTLI_IS_OOM(m)) return; } BuildAndStoreEntropyCodesLiteral(m, literal_enc, mb->literal_histograms, mb->literal_histograms_size, BROTLI_NUM_LITERAL_SYMBOLS, tree, storage_ix, storage); if (BROTLI_IS_OOM(m)) return; BuildAndStoreEntropyCodesCommand(m, command_enc, mb->command_histograms, mb->command_histograms_size, BROTLI_NUM_COMMAND_SYMBOLS, tree, storage_ix, storage); if (BROTLI_IS_OOM(m)) return; BuildAndStoreEntropyCodesDistance(m, distance_enc, mb->distance_histograms, mb->distance_histograms_size, num_distance_symbols, tree, storage_ix, storage); if (BROTLI_IS_OOM(m)) return; BROTLI_FREE(m, tree); for (i = 0; i < n_commands; ++i) { const Command cmd = commands[i]; size_t cmd_code = cmd.cmd_prefix_; StoreSymbol(command_enc, cmd_code, storage_ix, storage); StoreCommandExtra(&cmd, storage_ix, storage); if (mb->literal_context_map_size == 0) { size_t j; for (j = cmd.insert_len_; j != 0; --j) { StoreSymbol(literal_enc, input[pos & mask], storage_ix, storage); ++pos; } } else { size_t j; for (j = cmd.insert_len_; j != 0; --j) { size_t context = BROTLI_CONTEXT(prev_byte, prev_byte2, literal_context_lut); uint8_t literal = input[pos & mask]; StoreSymbolWithContext(literal_enc, literal, context, mb->literal_context_map, storage_ix, storage, BROTLI_LITERAL_CONTEXT_BITS); prev_byte2 = prev_byte; prev_byte = literal; ++pos; } } pos += CommandCopyLen(&cmd); if (CommandCopyLen(&cmd)) { prev_byte2 = input[(pos - 2) & mask]; prev_byte = input[(pos - 1) & mask]; if (cmd.cmd_prefix_ >= 128) { size_t dist_code = cmd.dist_prefix_ & 0x3FF; uint32_t distnumextra = cmd.dist_prefix_ >> 10; uint64_t distextra = cmd.dist_extra_; if (mb->distance_context_map_size == 0) { StoreSymbol(distance_enc, dist_code, storage_ix, storage); } else { size_t context = CommandDistanceContext(&cmd); StoreSymbolWithContext(distance_enc, dist_code, context, mb->distance_context_map, storage_ix, storage, BROTLI_DISTANCE_CONTEXT_BITS); } BrotliWriteBits(distnumextra, distextra, storage_ix, storage); } } } CleanupBlockEncoder(m, distance_enc); CleanupBlockEncoder(m, command_enc); CleanupBlockEncoder(m, literal_enc); BROTLI_FREE(m, arena); if (is_last) { JumpToByteBoundary(storage_ix, storage); } } static void BuildHistograms(const uint8_t* input, size_t start_pos, size_t mask, const Command* commands, size_t n_commands, HistogramLiteral* lit_histo, HistogramCommand* cmd_histo, HistogramDistance* dist_histo) { size_t pos = start_pos; size_t i; for (i = 0; i < n_commands; ++i) { const Command cmd = commands[i]; size_t j; HistogramAddCommand(cmd_histo, cmd.cmd_prefix_); for (j = cmd.insert_len_; j != 0; --j) { HistogramAddLiteral(lit_histo, input[pos & mask]); ++pos; } pos += CommandCopyLen(&cmd); if (CommandCopyLen(&cmd) && cmd.cmd_prefix_ >= 128) { HistogramAddDistance(dist_histo, cmd.dist_prefix_ & 0x3FF); } } } static void StoreDataWithHuffmanCodes(const uint8_t* input, size_t start_pos, size_t mask, const Command* commands, size_t n_commands, const uint8_t* lit_depth, const uint16_t* lit_bits, const uint8_t* cmd_depth, const uint16_t* cmd_bits, const uint8_t* dist_depth, const uint16_t* dist_bits, size_t* storage_ix, uint8_t* storage) { size_t pos = start_pos; size_t i; for (i = 0; i < n_commands; ++i) { const Command cmd = commands[i]; const size_t cmd_code = cmd.cmd_prefix_; size_t j; BrotliWriteBits( cmd_depth[cmd_code], cmd_bits[cmd_code], storage_ix, storage); StoreCommandExtra(&cmd, storage_ix, storage); for (j = cmd.insert_len_; j != 0; --j) { const uint8_t literal = input[pos & mask]; BrotliWriteBits( lit_depth[literal], lit_bits[literal], storage_ix, storage); ++pos; } pos += CommandCopyLen(&cmd); if (CommandCopyLen(&cmd) && cmd.cmd_prefix_ >= 128) { const size_t dist_code = cmd.dist_prefix_ & 0x3FF; const uint32_t distnumextra = cmd.dist_prefix_ >> 10; const uint32_t distextra = cmd.dist_extra_; BrotliWriteBits(dist_depth[dist_code], dist_bits[dist_code], storage_ix, storage); BrotliWriteBits(distnumextra, distextra, storage_ix, storage); } } } /* TODO(eustas): pull alloc/dealloc to caller? */ typedef struct MetablockArena { HistogramLiteral lit_histo; HistogramCommand cmd_histo; HistogramDistance dist_histo; /* TODO(eustas): merge bits and depth? */ uint8_t lit_depth[BROTLI_NUM_LITERAL_SYMBOLS]; uint16_t lit_bits[BROTLI_NUM_LITERAL_SYMBOLS]; uint8_t cmd_depth[BROTLI_NUM_COMMAND_SYMBOLS]; uint16_t cmd_bits[BROTLI_NUM_COMMAND_SYMBOLS]; uint8_t dist_depth[MAX_SIMPLE_DISTANCE_ALPHABET_SIZE]; uint16_t dist_bits[MAX_SIMPLE_DISTANCE_ALPHABET_SIZE]; HuffmanTree tree[MAX_HUFFMAN_TREE_SIZE]; } MetablockArena; void BrotliStoreMetaBlockTrivial(MemoryManager* m, const uint8_t* input, size_t start_pos, size_t length, size_t mask, BROTLI_BOOL is_last, const BrotliEncoderParams* params, const Command* commands, size_t n_commands, size_t* storage_ix, uint8_t* storage) { MetablockArena* arena = BROTLI_ALLOC(m, MetablockArena, 1); uint32_t num_distance_symbols = params->dist.alphabet_size_max; if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(arena)) return; StoreCompressedMetaBlockHeader(is_last, length, storage_ix, storage); HistogramClearLiteral(&arena->lit_histo); HistogramClearCommand(&arena->cmd_histo); HistogramClearDistance(&arena->dist_histo); BuildHistograms(input, start_pos, mask, commands, n_commands, &arena->lit_histo, &arena->cmd_histo, &arena->dist_histo); BrotliWriteBits(13, 0, storage_ix, storage); BuildAndStoreHuffmanTree(arena->lit_histo.data_, BROTLI_NUM_LITERAL_SYMBOLS, BROTLI_NUM_LITERAL_SYMBOLS, arena->tree, arena->lit_depth, arena->lit_bits, storage_ix, storage); BuildAndStoreHuffmanTree(arena->cmd_histo.data_, BROTLI_NUM_COMMAND_SYMBOLS, BROTLI_NUM_COMMAND_SYMBOLS, arena->tree, arena->cmd_depth, arena->cmd_bits, storage_ix, storage); BuildAndStoreHuffmanTree(arena->dist_histo.data_, MAX_SIMPLE_DISTANCE_ALPHABET_SIZE, num_distance_symbols, arena->tree, arena->dist_depth, arena->dist_bits, storage_ix, storage); StoreDataWithHuffmanCodes(input, start_pos, mask, commands, n_commands, arena->lit_depth, arena->lit_bits, arena->cmd_depth, arena->cmd_bits, arena->dist_depth, arena->dist_bits, storage_ix, storage); BROTLI_FREE(m, arena); if (is_last) { JumpToByteBoundary(storage_ix, storage); } } void BrotliStoreMetaBlockFast(MemoryManager* m, const uint8_t* input, size_t start_pos, size_t length, size_t mask, BROTLI_BOOL is_last, const BrotliEncoderParams* params, const Command* commands, size_t n_commands, size_t* storage_ix, uint8_t* storage) { MetablockArena* arena = BROTLI_ALLOC(m, MetablockArena, 1); uint32_t num_distance_symbols = params->dist.alphabet_size_max; uint32_t distance_alphabet_bits = Log2FloorNonZero(num_distance_symbols - 1) + 1; if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(arena)) return; StoreCompressedMetaBlockHeader(is_last, length, storage_ix, storage); BrotliWriteBits(13, 0, storage_ix, storage); if (n_commands <= 128) { uint32_t histogram[BROTLI_NUM_LITERAL_SYMBOLS] = { 0 }; size_t pos = start_pos; size_t num_literals = 0; size_t i; for (i = 0; i < n_commands; ++i) { const Command cmd = commands[i]; size_t j; for (j = cmd.insert_len_; j != 0; --j) { ++histogram[input[pos & mask]]; ++pos; } num_literals += cmd.insert_len_; pos += CommandCopyLen(&cmd); } BrotliBuildAndStoreHuffmanTreeFast(arena->tree, histogram, num_literals, /* max_bits = */ 8, arena->lit_depth, arena->lit_bits, storage_ix, storage); StoreStaticCommandHuffmanTree(storage_ix, storage); StoreStaticDistanceHuffmanTree(storage_ix, storage); StoreDataWithHuffmanCodes(input, start_pos, mask, commands, n_commands, arena->lit_depth, arena->lit_bits, kStaticCommandCodeDepth, kStaticCommandCodeBits, kStaticDistanceCodeDepth, kStaticDistanceCodeBits, storage_ix, storage); } else { HistogramClearLiteral(&arena->lit_histo); HistogramClearCommand(&arena->cmd_histo); HistogramClearDistance(&arena->dist_histo); BuildHistograms(input, start_pos, mask, commands, n_commands, &arena->lit_histo, &arena->cmd_histo, &arena->dist_histo); BrotliBuildAndStoreHuffmanTreeFast(arena->tree, arena->lit_histo.data_, arena->lit_histo.total_count_, /* max_bits = */ 8, arena->lit_depth, arena->lit_bits, storage_ix, storage); BrotliBuildAndStoreHuffmanTreeFast(arena->tree, arena->cmd_histo.data_, arena->cmd_histo.total_count_, /* max_bits = */ 10, arena->cmd_depth, arena->cmd_bits, storage_ix, storage); BrotliBuildAndStoreHuffmanTreeFast(arena->tree, arena->dist_histo.data_, arena->dist_histo.total_count_, /* max_bits = */ distance_alphabet_bits, arena->dist_depth, arena->dist_bits, storage_ix, storage); StoreDataWithHuffmanCodes(input, start_pos, mask, commands, n_commands, arena->lit_depth, arena->lit_bits, arena->cmd_depth, arena->cmd_bits, arena->dist_depth, arena->dist_bits, storage_ix, storage); } BROTLI_FREE(m, arena); if (is_last) { JumpToByteBoundary(storage_ix, storage); } } /* This is for storing uncompressed blocks (simple raw storage of bytes-as-bytes). */ void BrotliStoreUncompressedMetaBlock(BROTLI_BOOL is_final_block, const uint8_t* BROTLI_RESTRICT input, size_t position, size_t mask, size_t len, size_t* BROTLI_RESTRICT storage_ix, uint8_t* BROTLI_RESTRICT storage) { size_t masked_pos = position & mask; BrotliStoreUncompressedMetaBlockHeader(len, storage_ix, storage); JumpToByteBoundary(storage_ix, storage); if (masked_pos + len > mask + 1) { size_t len1 = mask + 1 - masked_pos; memcpy(&storage[*storage_ix >> 3], &input[masked_pos], len1); *storage_ix += len1 << 3; len -= len1; masked_pos = 0; } memcpy(&storage[*storage_ix >> 3], &input[masked_pos], len); *storage_ix += len << 3; /* We need to clear the next 4 bytes to continue to be compatible with BrotliWriteBits. */ BrotliWriteBitsPrepareStorage(*storage_ix, storage); /* Since the uncompressed block itself may not be the final block, add an empty one after this. */ if (is_final_block) { BrotliWriteBits(1, 1, storage_ix, storage); /* islast */ BrotliWriteBits(1, 1, storage_ix, storage); /* isempty */ JumpToByteBoundary(storage_ix, storage); } } #if defined(BROTLI_TEST) void GetBlockLengthPrefixCodeForTest(uint32_t len, size_t* code, uint32_t* n_extra, uint32_t* extra) { GetBlockLengthPrefixCode(len, code, n_extra, extra); } #endif #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/cluster.c0000644000175000017500000000271514606651213017340 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Functions for clustering similar histograms together. */ #include "cluster.h" #include #include "../common/platform.h" #include "bit_cost.h" /* BrotliPopulationCost */ #include "fast_log.h" #include "histogram.h" #include "memory.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif static BROTLI_INLINE BROTLI_BOOL HistogramPairIsLess( const HistogramPair* p1, const HistogramPair* p2) { if (p1->cost_diff != p2->cost_diff) { return TO_BROTLI_BOOL(p1->cost_diff > p2->cost_diff); } return TO_BROTLI_BOOL((p1->idx2 - p1->idx1) > (p2->idx2 - p2->idx1)); } /* Returns entropy reduction of the context map when we combine two clusters. */ static BROTLI_INLINE double ClusterCostDiff(size_t size_a, size_t size_b) { size_t size_c = size_a + size_b; return (double)size_a * FastLog2(size_a) + (double)size_b * FastLog2(size_b) - (double)size_c * FastLog2(size_c); } #define CODE(X) X #define FN(X) X ## Literal #include "cluster_inc.h" /* NOLINT(build/include) */ #undef FN #define FN(X) X ## Command #include "cluster_inc.h" /* NOLINT(build/include) */ #undef FN #define FN(X) X ## Distance #include "cluster_inc.h" /* NOLINT(build/include) */ #undef FN #undef CODE #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/entropy_encode_static.h0000644000175000017500000010026714606651213022251 0ustar timtim/* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Static entropy codes used for faster meta-block encoding. */ #ifndef BROTLI_ENC_ENTROPY_ENCODE_STATIC_H_ #define BROTLI_ENC_ENTROPY_ENCODE_STATIC_H_ #include #include "../common/constants.h" #include "../common/platform.h" #include "write_bits.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif static const uint8_t kCodeLengthDepth[18] = { 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 0, 4, 4, }; static const uint8_t kStaticCommandCodeDepth[BROTLI_NUM_COMMAND_SYMBOLS] = { 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, }; static const uint8_t kStaticDistanceCodeDepth[64] = { 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, }; /* GENERATED CODE START */ static const uint32_t kCodeLengthBits[18] = { 0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 15, 31, 0, 11, 7, }; static BROTLI_INLINE void StoreStaticCodeLengthCode( size_t* storage_ix, uint8_t* storage) { BrotliWriteBits( 40, BROTLI_MAKE_UINT64_T(0x0000FFu, 0x55555554u), storage_ix, storage); } static const uint64_t kZeroRepsBits[BROTLI_NUM_COMMAND_SYMBOLS] = { 0x00000000, 0x00000000, 0x00000000, 0x00000007, 0x00000017, 0x00000027, 0x00000037, 0x00000047, 0x00000057, 0x00000067, 0x00000077, 0x00000770, 0x00000b87, 0x00001387, 0x00001b87, 0x00002387, 0x00002b87, 0x00003387, 0x00003b87, 0x00000397, 0x00000b97, 0x00001397, 0x00001b97, 0x00002397, 0x00002b97, 0x00003397, 0x00003b97, 0x000003a7, 0x00000ba7, 0x000013a7, 0x00001ba7, 0x000023a7, 0x00002ba7, 0x000033a7, 0x00003ba7, 0x000003b7, 0x00000bb7, 0x000013b7, 0x00001bb7, 0x000023b7, 0x00002bb7, 0x000033b7, 0x00003bb7, 0x000003c7, 0x00000bc7, 0x000013c7, 0x00001bc7, 0x000023c7, 0x00002bc7, 0x000033c7, 0x00003bc7, 0x000003d7, 0x00000bd7, 0x000013d7, 0x00001bd7, 0x000023d7, 0x00002bd7, 0x000033d7, 0x00003bd7, 0x000003e7, 0x00000be7, 0x000013e7, 0x00001be7, 0x000023e7, 0x00002be7, 0x000033e7, 0x00003be7, 0x000003f7, 0x00000bf7, 0x000013f7, 0x00001bf7, 0x000023f7, 0x00002bf7, 0x000033f7, 0x00003bf7, 0x0001c387, 0x0005c387, 0x0009c387, 0x000dc387, 0x0011c387, 0x0015c387, 0x0019c387, 0x001dc387, 0x0001cb87, 0x0005cb87, 0x0009cb87, 0x000dcb87, 0x0011cb87, 0x0015cb87, 0x0019cb87, 0x001dcb87, 0x0001d387, 0x0005d387, 0x0009d387, 0x000dd387, 0x0011d387, 0x0015d387, 0x0019d387, 0x001dd387, 0x0001db87, 0x0005db87, 0x0009db87, 0x000ddb87, 0x0011db87, 0x0015db87, 0x0019db87, 0x001ddb87, 0x0001e387, 0x0005e387, 0x0009e387, 0x000de387, 0x0011e387, 0x0015e387, 0x0019e387, 0x001de387, 0x0001eb87, 0x0005eb87, 0x0009eb87, 0x000deb87, 0x0011eb87, 0x0015eb87, 0x0019eb87, 0x001deb87, 0x0001f387, 0x0005f387, 0x0009f387, 0x000df387, 0x0011f387, 0x0015f387, 0x0019f387, 0x001df387, 0x0001fb87, 0x0005fb87, 0x0009fb87, 0x000dfb87, 0x0011fb87, 0x0015fb87, 0x0019fb87, 0x001dfb87, 0x0001c397, 0x0005c397, 0x0009c397, 0x000dc397, 0x0011c397, 0x0015c397, 0x0019c397, 0x001dc397, 0x0001cb97, 0x0005cb97, 0x0009cb97, 0x000dcb97, 0x0011cb97, 0x0015cb97, 0x0019cb97, 0x001dcb97, 0x0001d397, 0x0005d397, 0x0009d397, 0x000dd397, 0x0011d397, 0x0015d397, 0x0019d397, 0x001dd397, 0x0001db97, 0x0005db97, 0x0009db97, 0x000ddb97, 0x0011db97, 0x0015db97, 0x0019db97, 0x001ddb97, 0x0001e397, 0x0005e397, 0x0009e397, 0x000de397, 0x0011e397, 0x0015e397, 0x0019e397, 0x001de397, 0x0001eb97, 0x0005eb97, 0x0009eb97, 0x000deb97, 0x0011eb97, 0x0015eb97, 0x0019eb97, 0x001deb97, 0x0001f397, 0x0005f397, 0x0009f397, 0x000df397, 0x0011f397, 0x0015f397, 0x0019f397, 0x001df397, 0x0001fb97, 0x0005fb97, 0x0009fb97, 0x000dfb97, 0x0011fb97, 0x0015fb97, 0x0019fb97, 0x001dfb97, 0x0001c3a7, 0x0005c3a7, 0x0009c3a7, 0x000dc3a7, 0x0011c3a7, 0x0015c3a7, 0x0019c3a7, 0x001dc3a7, 0x0001cba7, 0x0005cba7, 0x0009cba7, 0x000dcba7, 0x0011cba7, 0x0015cba7, 0x0019cba7, 0x001dcba7, 0x0001d3a7, 0x0005d3a7, 0x0009d3a7, 0x000dd3a7, 0x0011d3a7, 0x0015d3a7, 0x0019d3a7, 0x001dd3a7, 0x0001dba7, 0x0005dba7, 0x0009dba7, 0x000ddba7, 0x0011dba7, 0x0015dba7, 0x0019dba7, 0x001ddba7, 0x0001e3a7, 0x0005e3a7, 0x0009e3a7, 0x000de3a7, 0x0011e3a7, 0x0015e3a7, 0x0019e3a7, 0x001de3a7, 0x0001eba7, 0x0005eba7, 0x0009eba7, 0x000deba7, 0x0011eba7, 0x0015eba7, 0x0019eba7, 0x001deba7, 0x0001f3a7, 0x0005f3a7, 0x0009f3a7, 0x000df3a7, 0x0011f3a7, 0x0015f3a7, 0x0019f3a7, 0x001df3a7, 0x0001fba7, 0x0005fba7, 0x0009fba7, 0x000dfba7, 0x0011fba7, 0x0015fba7, 0x0019fba7, 0x001dfba7, 0x0001c3b7, 0x0005c3b7, 0x0009c3b7, 0x000dc3b7, 0x0011c3b7, 0x0015c3b7, 0x0019c3b7, 0x001dc3b7, 0x0001cbb7, 0x0005cbb7, 0x0009cbb7, 0x000dcbb7, 0x0011cbb7, 0x0015cbb7, 0x0019cbb7, 0x001dcbb7, 0x0001d3b7, 0x0005d3b7, 0x0009d3b7, 0x000dd3b7, 0x0011d3b7, 0x0015d3b7, 0x0019d3b7, 0x001dd3b7, 0x0001dbb7, 0x0005dbb7, 0x0009dbb7, 0x000ddbb7, 0x0011dbb7, 0x0015dbb7, 0x0019dbb7, 0x001ddbb7, 0x0001e3b7, 0x0005e3b7, 0x0009e3b7, 0x000de3b7, 0x0011e3b7, 0x0015e3b7, 0x0019e3b7, 0x001de3b7, 0x0001ebb7, 0x0005ebb7, 0x0009ebb7, 0x000debb7, 0x0011ebb7, 0x0015ebb7, 0x0019ebb7, 0x001debb7, 0x0001f3b7, 0x0005f3b7, 0x0009f3b7, 0x000df3b7, 0x0011f3b7, 0x0015f3b7, 0x0019f3b7, 0x001df3b7, 0x0001fbb7, 0x0005fbb7, 0x0009fbb7, 0x000dfbb7, 0x0011fbb7, 0x0015fbb7, 0x0019fbb7, 0x001dfbb7, 0x0001c3c7, 0x0005c3c7, 0x0009c3c7, 0x000dc3c7, 0x0011c3c7, 0x0015c3c7, 0x0019c3c7, 0x001dc3c7, 0x0001cbc7, 0x0005cbc7, 0x0009cbc7, 0x000dcbc7, 0x0011cbc7, 0x0015cbc7, 0x0019cbc7, 0x001dcbc7, 0x0001d3c7, 0x0005d3c7, 0x0009d3c7, 0x000dd3c7, 0x0011d3c7, 0x0015d3c7, 0x0019d3c7, 0x001dd3c7, 0x0001dbc7, 0x0005dbc7, 0x0009dbc7, 0x000ddbc7, 0x0011dbc7, 0x0015dbc7, 0x0019dbc7, 0x001ddbc7, 0x0001e3c7, 0x0005e3c7, 0x0009e3c7, 0x000de3c7, 0x0011e3c7, 0x0015e3c7, 0x0019e3c7, 0x001de3c7, 0x0001ebc7, 0x0005ebc7, 0x0009ebc7, 0x000debc7, 0x0011ebc7, 0x0015ebc7, 0x0019ebc7, 0x001debc7, 0x0001f3c7, 0x0005f3c7, 0x0009f3c7, 0x000df3c7, 0x0011f3c7, 0x0015f3c7, 0x0019f3c7, 0x001df3c7, 0x0001fbc7, 0x0005fbc7, 0x0009fbc7, 0x000dfbc7, 0x0011fbc7, 0x0015fbc7, 0x0019fbc7, 0x001dfbc7, 0x0001c3d7, 0x0005c3d7, 0x0009c3d7, 0x000dc3d7, 0x0011c3d7, 0x0015c3d7, 0x0019c3d7, 0x001dc3d7, 0x0001cbd7, 0x0005cbd7, 0x0009cbd7, 0x000dcbd7, 0x0011cbd7, 0x0015cbd7, 0x0019cbd7, 0x001dcbd7, 0x0001d3d7, 0x0005d3d7, 0x0009d3d7, 0x000dd3d7, 0x0011d3d7, 0x0015d3d7, 0x0019d3d7, 0x001dd3d7, 0x0001dbd7, 0x0005dbd7, 0x0009dbd7, 0x000ddbd7, 0x0011dbd7, 0x0015dbd7, 0x0019dbd7, 0x001ddbd7, 0x0001e3d7, 0x0005e3d7, 0x0009e3d7, 0x000de3d7, 0x0011e3d7, 0x0015e3d7, 0x0019e3d7, 0x001de3d7, 0x0001ebd7, 0x0005ebd7, 0x0009ebd7, 0x000debd7, 0x0011ebd7, 0x0015ebd7, 0x0019ebd7, 0x001debd7, 0x0001f3d7, 0x0005f3d7, 0x0009f3d7, 0x000df3d7, 0x0011f3d7, 0x0015f3d7, 0x0019f3d7, 0x001df3d7, 0x0001fbd7, 0x0005fbd7, 0x0009fbd7, 0x000dfbd7, 0x0011fbd7, 0x0015fbd7, 0x0019fbd7, 0x001dfbd7, 0x0001c3e7, 0x0005c3e7, 0x0009c3e7, 0x000dc3e7, 0x0011c3e7, 0x0015c3e7, 0x0019c3e7, 0x001dc3e7, 0x0001cbe7, 0x0005cbe7, 0x0009cbe7, 0x000dcbe7, 0x0011cbe7, 0x0015cbe7, 0x0019cbe7, 0x001dcbe7, 0x0001d3e7, 0x0005d3e7, 0x0009d3e7, 0x000dd3e7, 0x0011d3e7, 0x0015d3e7, 0x0019d3e7, 0x001dd3e7, 0x0001dbe7, 0x0005dbe7, 0x0009dbe7, 0x000ddbe7, 0x0011dbe7, 0x0015dbe7, 0x0019dbe7, 0x001ddbe7, 0x0001e3e7, 0x0005e3e7, 0x0009e3e7, 0x000de3e7, 0x0011e3e7, 0x0015e3e7, 0x0019e3e7, 0x001de3e7, 0x0001ebe7, 0x0005ebe7, 0x0009ebe7, 0x000debe7, 0x0011ebe7, 0x0015ebe7, 0x0019ebe7, 0x001debe7, 0x0001f3e7, 0x0005f3e7, 0x0009f3e7, 0x000df3e7, 0x0011f3e7, 0x0015f3e7, 0x0019f3e7, 0x001df3e7, 0x0001fbe7, 0x0005fbe7, 0x0009fbe7, 0x000dfbe7, 0x0011fbe7, 0x0015fbe7, 0x0019fbe7, 0x001dfbe7, 0x0001c3f7, 0x0005c3f7, 0x0009c3f7, 0x000dc3f7, 0x0011c3f7, 0x0015c3f7, 0x0019c3f7, 0x001dc3f7, 0x0001cbf7, 0x0005cbf7, 0x0009cbf7, 0x000dcbf7, 0x0011cbf7, 0x0015cbf7, 0x0019cbf7, 0x001dcbf7, 0x0001d3f7, 0x0005d3f7, 0x0009d3f7, 0x000dd3f7, 0x0011d3f7, 0x0015d3f7, 0x0019d3f7, 0x001dd3f7, 0x0001dbf7, 0x0005dbf7, 0x0009dbf7, 0x000ddbf7, 0x0011dbf7, 0x0015dbf7, 0x0019dbf7, 0x001ddbf7, 0x0001e3f7, 0x0005e3f7, 0x0009e3f7, 0x000de3f7, 0x0011e3f7, 0x0015e3f7, 0x0019e3f7, 0x001de3f7, 0x0001ebf7, 0x0005ebf7, 0x0009ebf7, 0x000debf7, 0x0011ebf7, 0x0015ebf7, 0x0019ebf7, 0x001debf7, 0x0001f3f7, 0x0005f3f7, 0x0009f3f7, 0x000df3f7, 0x0011f3f7, 0x0015f3f7, 0x0019f3f7, 0x001df3f7, 0x0001fbf7, 0x0005fbf7, 0x0009fbf7, 0x000dfbf7, 0x0011fbf7, 0x0015fbf7, 0x0019fbf7, 0x001dfbf7, 0x00e1c387, 0x02e1c387, 0x04e1c387, 0x06e1c387, 0x08e1c387, 0x0ae1c387, 0x0ce1c387, 0x0ee1c387, 0x00e5c387, 0x02e5c387, 0x04e5c387, 0x06e5c387, 0x08e5c387, 0x0ae5c387, 0x0ce5c387, 0x0ee5c387, 0x00e9c387, 0x02e9c387, 0x04e9c387, 0x06e9c387, 0x08e9c387, 0x0ae9c387, 0x0ce9c387, 0x0ee9c387, 0x00edc387, 0x02edc387, 0x04edc387, 0x06edc387, 0x08edc387, 0x0aedc387, 0x0cedc387, 0x0eedc387, 0x00f1c387, 0x02f1c387, 0x04f1c387, 0x06f1c387, 0x08f1c387, 0x0af1c387, 0x0cf1c387, 0x0ef1c387, 0x00f5c387, 0x02f5c387, 0x04f5c387, 0x06f5c387, 0x08f5c387, 0x0af5c387, 0x0cf5c387, 0x0ef5c387, 0x00f9c387, 0x02f9c387, 0x04f9c387, 0x06f9c387, 0x08f9c387, 0x0af9c387, 0x0cf9c387, 0x0ef9c387, 0x00fdc387, 0x02fdc387, 0x04fdc387, 0x06fdc387, 0x08fdc387, 0x0afdc387, 0x0cfdc387, 0x0efdc387, 0x00e1cb87, 0x02e1cb87, 0x04e1cb87, 0x06e1cb87, 0x08e1cb87, 0x0ae1cb87, 0x0ce1cb87, 0x0ee1cb87, 0x00e5cb87, 0x02e5cb87, 0x04e5cb87, 0x06e5cb87, 0x08e5cb87, 0x0ae5cb87, 0x0ce5cb87, 0x0ee5cb87, 0x00e9cb87, 0x02e9cb87, 0x04e9cb87, 0x06e9cb87, 0x08e9cb87, 0x0ae9cb87, 0x0ce9cb87, 0x0ee9cb87, 0x00edcb87, 0x02edcb87, 0x04edcb87, 0x06edcb87, 0x08edcb87, 0x0aedcb87, 0x0cedcb87, 0x0eedcb87, 0x00f1cb87, 0x02f1cb87, 0x04f1cb87, 0x06f1cb87, 0x08f1cb87, 0x0af1cb87, 0x0cf1cb87, 0x0ef1cb87, 0x00f5cb87, 0x02f5cb87, 0x04f5cb87, 0x06f5cb87, 0x08f5cb87, 0x0af5cb87, 0x0cf5cb87, 0x0ef5cb87, 0x00f9cb87, 0x02f9cb87, 0x04f9cb87, 0x06f9cb87, 0x08f9cb87, }; static const uint32_t kZeroRepsDepth[BROTLI_NUM_COMMAND_SYMBOLS] = { 0, 4, 8, 7, 7, 7, 7, 7, 7, 7, 7, 11, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, }; static const uint64_t kNonZeroRepsBits[BROTLI_NUM_COMMAND_SYMBOLS] = { 0x0000000b, 0x0000001b, 0x0000002b, 0x0000003b, 0x000002cb, 0x000006cb, 0x00000acb, 0x00000ecb, 0x000002db, 0x000006db, 0x00000adb, 0x00000edb, 0x000002eb, 0x000006eb, 0x00000aeb, 0x00000eeb, 0x000002fb, 0x000006fb, 0x00000afb, 0x00000efb, 0x0000b2cb, 0x0001b2cb, 0x0002b2cb, 0x0003b2cb, 0x0000b6cb, 0x0001b6cb, 0x0002b6cb, 0x0003b6cb, 0x0000bacb, 0x0001bacb, 0x0002bacb, 0x0003bacb, 0x0000becb, 0x0001becb, 0x0002becb, 0x0003becb, 0x0000b2db, 0x0001b2db, 0x0002b2db, 0x0003b2db, 0x0000b6db, 0x0001b6db, 0x0002b6db, 0x0003b6db, 0x0000badb, 0x0001badb, 0x0002badb, 0x0003badb, 0x0000bedb, 0x0001bedb, 0x0002bedb, 0x0003bedb, 0x0000b2eb, 0x0001b2eb, 0x0002b2eb, 0x0003b2eb, 0x0000b6eb, 0x0001b6eb, 0x0002b6eb, 0x0003b6eb, 0x0000baeb, 0x0001baeb, 0x0002baeb, 0x0003baeb, 0x0000beeb, 0x0001beeb, 0x0002beeb, 0x0003beeb, 0x0000b2fb, 0x0001b2fb, 0x0002b2fb, 0x0003b2fb, 0x0000b6fb, 0x0001b6fb, 0x0002b6fb, 0x0003b6fb, 0x0000bafb, 0x0001bafb, 0x0002bafb, 0x0003bafb, 0x0000befb, 0x0001befb, 0x0002befb, 0x0003befb, 0x002cb2cb, 0x006cb2cb, 0x00acb2cb, 0x00ecb2cb, 0x002db2cb, 0x006db2cb, 0x00adb2cb, 0x00edb2cb, 0x002eb2cb, 0x006eb2cb, 0x00aeb2cb, 0x00eeb2cb, 0x002fb2cb, 0x006fb2cb, 0x00afb2cb, 0x00efb2cb, 0x002cb6cb, 0x006cb6cb, 0x00acb6cb, 0x00ecb6cb, 0x002db6cb, 0x006db6cb, 0x00adb6cb, 0x00edb6cb, 0x002eb6cb, 0x006eb6cb, 0x00aeb6cb, 0x00eeb6cb, 0x002fb6cb, 0x006fb6cb, 0x00afb6cb, 0x00efb6cb, 0x002cbacb, 0x006cbacb, 0x00acbacb, 0x00ecbacb, 0x002dbacb, 0x006dbacb, 0x00adbacb, 0x00edbacb, 0x002ebacb, 0x006ebacb, 0x00aebacb, 0x00eebacb, 0x002fbacb, 0x006fbacb, 0x00afbacb, 0x00efbacb, 0x002cbecb, 0x006cbecb, 0x00acbecb, 0x00ecbecb, 0x002dbecb, 0x006dbecb, 0x00adbecb, 0x00edbecb, 0x002ebecb, 0x006ebecb, 0x00aebecb, 0x00eebecb, 0x002fbecb, 0x006fbecb, 0x00afbecb, 0x00efbecb, 0x002cb2db, 0x006cb2db, 0x00acb2db, 0x00ecb2db, 0x002db2db, 0x006db2db, 0x00adb2db, 0x00edb2db, 0x002eb2db, 0x006eb2db, 0x00aeb2db, 0x00eeb2db, 0x002fb2db, 0x006fb2db, 0x00afb2db, 0x00efb2db, 0x002cb6db, 0x006cb6db, 0x00acb6db, 0x00ecb6db, 0x002db6db, 0x006db6db, 0x00adb6db, 0x00edb6db, 0x002eb6db, 0x006eb6db, 0x00aeb6db, 0x00eeb6db, 0x002fb6db, 0x006fb6db, 0x00afb6db, 0x00efb6db, 0x002cbadb, 0x006cbadb, 0x00acbadb, 0x00ecbadb, 0x002dbadb, 0x006dbadb, 0x00adbadb, 0x00edbadb, 0x002ebadb, 0x006ebadb, 0x00aebadb, 0x00eebadb, 0x002fbadb, 0x006fbadb, 0x00afbadb, 0x00efbadb, 0x002cbedb, 0x006cbedb, 0x00acbedb, 0x00ecbedb, 0x002dbedb, 0x006dbedb, 0x00adbedb, 0x00edbedb, 0x002ebedb, 0x006ebedb, 0x00aebedb, 0x00eebedb, 0x002fbedb, 0x006fbedb, 0x00afbedb, 0x00efbedb, 0x002cb2eb, 0x006cb2eb, 0x00acb2eb, 0x00ecb2eb, 0x002db2eb, 0x006db2eb, 0x00adb2eb, 0x00edb2eb, 0x002eb2eb, 0x006eb2eb, 0x00aeb2eb, 0x00eeb2eb, 0x002fb2eb, 0x006fb2eb, 0x00afb2eb, 0x00efb2eb, 0x002cb6eb, 0x006cb6eb, 0x00acb6eb, 0x00ecb6eb, 0x002db6eb, 0x006db6eb, 0x00adb6eb, 0x00edb6eb, 0x002eb6eb, 0x006eb6eb, 0x00aeb6eb, 0x00eeb6eb, 0x002fb6eb, 0x006fb6eb, 0x00afb6eb, 0x00efb6eb, 0x002cbaeb, 0x006cbaeb, 0x00acbaeb, 0x00ecbaeb, 0x002dbaeb, 0x006dbaeb, 0x00adbaeb, 0x00edbaeb, 0x002ebaeb, 0x006ebaeb, 0x00aebaeb, 0x00eebaeb, 0x002fbaeb, 0x006fbaeb, 0x00afbaeb, 0x00efbaeb, 0x002cbeeb, 0x006cbeeb, 0x00acbeeb, 0x00ecbeeb, 0x002dbeeb, 0x006dbeeb, 0x00adbeeb, 0x00edbeeb, 0x002ebeeb, 0x006ebeeb, 0x00aebeeb, 0x00eebeeb, 0x002fbeeb, 0x006fbeeb, 0x00afbeeb, 0x00efbeeb, 0x002cb2fb, 0x006cb2fb, 0x00acb2fb, 0x00ecb2fb, 0x002db2fb, 0x006db2fb, 0x00adb2fb, 0x00edb2fb, 0x002eb2fb, 0x006eb2fb, 0x00aeb2fb, 0x00eeb2fb, 0x002fb2fb, 0x006fb2fb, 0x00afb2fb, 0x00efb2fb, 0x002cb6fb, 0x006cb6fb, 0x00acb6fb, 0x00ecb6fb, 0x002db6fb, 0x006db6fb, 0x00adb6fb, 0x00edb6fb, 0x002eb6fb, 0x006eb6fb, 0x00aeb6fb, 0x00eeb6fb, 0x002fb6fb, 0x006fb6fb, 0x00afb6fb, 0x00efb6fb, 0x002cbafb, 0x006cbafb, 0x00acbafb, 0x00ecbafb, 0x002dbafb, 0x006dbafb, 0x00adbafb, 0x00edbafb, 0x002ebafb, 0x006ebafb, 0x00aebafb, 0x00eebafb, 0x002fbafb, 0x006fbafb, 0x00afbafb, 0x00efbafb, 0x002cbefb, 0x006cbefb, 0x00acbefb, 0x00ecbefb, 0x002dbefb, 0x006dbefb, 0x00adbefb, 0x00edbefb, 0x002ebefb, 0x006ebefb, 0x00aebefb, 0x00eebefb, 0x002fbefb, 0x006fbefb, 0x00afbefb, 0x00efbefb, 0x0b2cb2cb, 0x1b2cb2cb, 0x2b2cb2cb, 0x3b2cb2cb, 0x0b6cb2cb, 0x1b6cb2cb, 0x2b6cb2cb, 0x3b6cb2cb, 0x0bacb2cb, 0x1bacb2cb, 0x2bacb2cb, 0x3bacb2cb, 0x0becb2cb, 0x1becb2cb, 0x2becb2cb, 0x3becb2cb, 0x0b2db2cb, 0x1b2db2cb, 0x2b2db2cb, 0x3b2db2cb, 0x0b6db2cb, 0x1b6db2cb, 0x2b6db2cb, 0x3b6db2cb, 0x0badb2cb, 0x1badb2cb, 0x2badb2cb, 0x3badb2cb, 0x0bedb2cb, 0x1bedb2cb, 0x2bedb2cb, 0x3bedb2cb, 0x0b2eb2cb, 0x1b2eb2cb, 0x2b2eb2cb, 0x3b2eb2cb, 0x0b6eb2cb, 0x1b6eb2cb, 0x2b6eb2cb, 0x3b6eb2cb, 0x0baeb2cb, 0x1baeb2cb, 0x2baeb2cb, 0x3baeb2cb, 0x0beeb2cb, 0x1beeb2cb, 0x2beeb2cb, 0x3beeb2cb, 0x0b2fb2cb, 0x1b2fb2cb, 0x2b2fb2cb, 0x3b2fb2cb, 0x0b6fb2cb, 0x1b6fb2cb, 0x2b6fb2cb, 0x3b6fb2cb, 0x0bafb2cb, 0x1bafb2cb, 0x2bafb2cb, 0x3bafb2cb, 0x0befb2cb, 0x1befb2cb, 0x2befb2cb, 0x3befb2cb, 0x0b2cb6cb, 0x1b2cb6cb, 0x2b2cb6cb, 0x3b2cb6cb, 0x0b6cb6cb, 0x1b6cb6cb, 0x2b6cb6cb, 0x3b6cb6cb, 0x0bacb6cb, 0x1bacb6cb, 0x2bacb6cb, 0x3bacb6cb, 0x0becb6cb, 0x1becb6cb, 0x2becb6cb, 0x3becb6cb, 0x0b2db6cb, 0x1b2db6cb, 0x2b2db6cb, 0x3b2db6cb, 0x0b6db6cb, 0x1b6db6cb, 0x2b6db6cb, 0x3b6db6cb, 0x0badb6cb, 0x1badb6cb, 0x2badb6cb, 0x3badb6cb, 0x0bedb6cb, 0x1bedb6cb, 0x2bedb6cb, 0x3bedb6cb, 0x0b2eb6cb, 0x1b2eb6cb, 0x2b2eb6cb, 0x3b2eb6cb, 0x0b6eb6cb, 0x1b6eb6cb, 0x2b6eb6cb, 0x3b6eb6cb, 0x0baeb6cb, 0x1baeb6cb, 0x2baeb6cb, 0x3baeb6cb, 0x0beeb6cb, 0x1beeb6cb, 0x2beeb6cb, 0x3beeb6cb, 0x0b2fb6cb, 0x1b2fb6cb, 0x2b2fb6cb, 0x3b2fb6cb, 0x0b6fb6cb, 0x1b6fb6cb, 0x2b6fb6cb, 0x3b6fb6cb, 0x0bafb6cb, 0x1bafb6cb, 0x2bafb6cb, 0x3bafb6cb, 0x0befb6cb, 0x1befb6cb, 0x2befb6cb, 0x3befb6cb, 0x0b2cbacb, 0x1b2cbacb, 0x2b2cbacb, 0x3b2cbacb, 0x0b6cbacb, 0x1b6cbacb, 0x2b6cbacb, 0x3b6cbacb, 0x0bacbacb, 0x1bacbacb, 0x2bacbacb, 0x3bacbacb, 0x0becbacb, 0x1becbacb, 0x2becbacb, 0x3becbacb, 0x0b2dbacb, 0x1b2dbacb, 0x2b2dbacb, 0x3b2dbacb, 0x0b6dbacb, 0x1b6dbacb, 0x2b6dbacb, 0x3b6dbacb, 0x0badbacb, 0x1badbacb, 0x2badbacb, 0x3badbacb, 0x0bedbacb, 0x1bedbacb, 0x2bedbacb, 0x3bedbacb, 0x0b2ebacb, 0x1b2ebacb, 0x2b2ebacb, 0x3b2ebacb, 0x0b6ebacb, 0x1b6ebacb, 0x2b6ebacb, 0x3b6ebacb, 0x0baebacb, 0x1baebacb, 0x2baebacb, 0x3baebacb, 0x0beebacb, 0x1beebacb, 0x2beebacb, 0x3beebacb, 0x0b2fbacb, 0x1b2fbacb, 0x2b2fbacb, 0x3b2fbacb, 0x0b6fbacb, 0x1b6fbacb, 0x2b6fbacb, 0x3b6fbacb, 0x0bafbacb, 0x1bafbacb, 0x2bafbacb, 0x3bafbacb, 0x0befbacb, 0x1befbacb, 0x2befbacb, 0x3befbacb, 0x0b2cbecb, 0x1b2cbecb, 0x2b2cbecb, 0x3b2cbecb, 0x0b6cbecb, 0x1b6cbecb, 0x2b6cbecb, 0x3b6cbecb, 0x0bacbecb, 0x1bacbecb, 0x2bacbecb, 0x3bacbecb, 0x0becbecb, 0x1becbecb, 0x2becbecb, 0x3becbecb, 0x0b2dbecb, 0x1b2dbecb, 0x2b2dbecb, 0x3b2dbecb, 0x0b6dbecb, 0x1b6dbecb, 0x2b6dbecb, 0x3b6dbecb, 0x0badbecb, 0x1badbecb, 0x2badbecb, 0x3badbecb, 0x0bedbecb, 0x1bedbecb, 0x2bedbecb, 0x3bedbecb, 0x0b2ebecb, 0x1b2ebecb, 0x2b2ebecb, 0x3b2ebecb, 0x0b6ebecb, 0x1b6ebecb, 0x2b6ebecb, 0x3b6ebecb, 0x0baebecb, 0x1baebecb, 0x2baebecb, 0x3baebecb, 0x0beebecb, 0x1beebecb, 0x2beebecb, 0x3beebecb, 0x0b2fbecb, 0x1b2fbecb, 0x2b2fbecb, 0x3b2fbecb, 0x0b6fbecb, 0x1b6fbecb, 0x2b6fbecb, 0x3b6fbecb, 0x0bafbecb, 0x1bafbecb, 0x2bafbecb, 0x3bafbecb, 0x0befbecb, 0x1befbecb, 0x2befbecb, 0x3befbecb, 0x0b2cb2db, 0x1b2cb2db, 0x2b2cb2db, 0x3b2cb2db, 0x0b6cb2db, 0x1b6cb2db, 0x2b6cb2db, 0x3b6cb2db, 0x0bacb2db, 0x1bacb2db, 0x2bacb2db, 0x3bacb2db, 0x0becb2db, 0x1becb2db, 0x2becb2db, 0x3becb2db, 0x0b2db2db, 0x1b2db2db, 0x2b2db2db, 0x3b2db2db, 0x0b6db2db, 0x1b6db2db, 0x2b6db2db, 0x3b6db2db, 0x0badb2db, 0x1badb2db, 0x2badb2db, 0x3badb2db, 0x0bedb2db, 0x1bedb2db, 0x2bedb2db, 0x3bedb2db, 0x0b2eb2db, 0x1b2eb2db, 0x2b2eb2db, 0x3b2eb2db, 0x0b6eb2db, 0x1b6eb2db, 0x2b6eb2db, 0x3b6eb2db, 0x0baeb2db, 0x1baeb2db, 0x2baeb2db, 0x3baeb2db, 0x0beeb2db, 0x1beeb2db, 0x2beeb2db, 0x3beeb2db, 0x0b2fb2db, 0x1b2fb2db, 0x2b2fb2db, 0x3b2fb2db, 0x0b6fb2db, 0x1b6fb2db, 0x2b6fb2db, 0x3b6fb2db, 0x0bafb2db, 0x1bafb2db, 0x2bafb2db, 0x3bafb2db, 0x0befb2db, 0x1befb2db, 0x2befb2db, 0x3befb2db, 0x0b2cb6db, 0x1b2cb6db, 0x2b2cb6db, 0x3b2cb6db, 0x0b6cb6db, 0x1b6cb6db, 0x2b6cb6db, 0x3b6cb6db, 0x0bacb6db, 0x1bacb6db, 0x2bacb6db, 0x3bacb6db, 0x0becb6db, 0x1becb6db, 0x2becb6db, 0x3becb6db, 0x0b2db6db, 0x1b2db6db, 0x2b2db6db, 0x3b2db6db, 0x0b6db6db, 0x1b6db6db, 0x2b6db6db, 0x3b6db6db, 0x0badb6db, 0x1badb6db, 0x2badb6db, 0x3badb6db, 0x0bedb6db, 0x1bedb6db, 0x2bedb6db, 0x3bedb6db, 0x0b2eb6db, 0x1b2eb6db, 0x2b2eb6db, 0x3b2eb6db, 0x0b6eb6db, 0x1b6eb6db, 0x2b6eb6db, 0x3b6eb6db, 0x0baeb6db, 0x1baeb6db, 0x2baeb6db, 0x3baeb6db, }; static const uint32_t kNonZeroRepsDepth[BROTLI_NUM_COMMAND_SYMBOLS] = { 6, 6, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, }; static const uint16_t kStaticCommandCodeBits[BROTLI_NUM_COMMAND_SYMBOLS] = { 0, 256, 128, 384, 64, 320, 192, 448, 32, 288, 160, 416, 96, 352, 224, 480, 16, 272, 144, 400, 80, 336, 208, 464, 48, 304, 176, 432, 112, 368, 240, 496, 8, 264, 136, 392, 72, 328, 200, 456, 40, 296, 168, 424, 104, 360, 232, 488, 24, 280, 152, 408, 88, 344, 216, 472, 56, 312, 184, 440, 120, 376, 248, 504, 4, 260, 132, 388, 68, 324, 196, 452, 36, 292, 164, 420, 100, 356, 228, 484, 20, 276, 148, 404, 84, 340, 212, 468, 52, 308, 180, 436, 116, 372, 244, 500, 12, 268, 140, 396, 76, 332, 204, 460, 44, 300, 172, 428, 108, 364, 236, 492, 28, 284, 156, 412, 92, 348, 220, 476, 60, 316, 188, 444, 124, 380, 252, 508, 2, 258, 130, 386, 66, 322, 194, 450, 34, 290, 162, 418, 98, 354, 226, 482, 18, 274, 146, 402, 82, 338, 210, 466, 50, 306, 178, 434, 114, 370, 242, 498, 10, 266, 138, 394, 74, 330, 202, 458, 42, 298, 170, 426, 106, 362, 234, 490, 26, 282, 154, 410, 90, 346, 218, 474, 58, 314, 186, 442, 122, 378, 250, 506, 6, 262, 134, 390, 70, 326, 198, 454, 38, 294, 166, 422, 102, 358, 230, 486, 22, 278, 150, 406, 86, 342, 214, 470, 54, 310, 182, 438, 118, 374, 246, 502, 14, 270, 142, 398, 78, 334, 206, 462, 46, 302, 174, 430, 110, 366, 238, 494, 30, 286, 158, 414, 94, 350, 222, 478, 62, 318, 190, 446, 126, 382, 254, 510, 1, 257, 129, 385, 65, 321, 193, 449, 33, 289, 161, 417, 97, 353, 225, 481, 17, 273, 145, 401, 81, 337, 209, 465, 49, 305, 177, 433, 113, 369, 241, 497, 9, 265, 137, 393, 73, 329, 201, 457, 41, 297, 169, 425, 105, 361, 233, 489, 25, 281, 153, 409, 89, 345, 217, 473, 57, 313, 185, 441, 121, 377, 249, 505, 5, 261, 133, 389, 69, 325, 197, 453, 37, 293, 165, 421, 101, 357, 229, 485, 21, 277, 149, 405, 85, 341, 213, 469, 53, 309, 181, 437, 117, 373, 245, 501, 13, 269, 141, 397, 77, 333, 205, 461, 45, 301, 173, 429, 109, 365, 237, 493, 29, 285, 157, 413, 93, 349, 221, 477, 61, 317, 189, 445, 125, 381, 253, 509, 3, 259, 131, 387, 67, 323, 195, 451, 35, 291, 163, 419, 99, 355, 227, 483, 19, 275, 147, 403, 83, 339, 211, 467, 51, 307, 179, 435, 115, 371, 243, 499, 11, 267, 139, 395, 75, 331, 203, 459, 43, 299, 171, 427, 107, 363, 235, 491, 27, 283, 155, 411, 91, 347, 219, 475, 59, 315, 187, 443, 123, 379, 251, 507, 7, 1031, 519, 1543, 263, 1287, 775, 1799, 135, 1159, 647, 1671, 391, 1415, 903, 1927, 71, 1095, 583, 1607, 327, 1351, 839, 1863, 199, 1223, 711, 1735, 455, 1479, 967, 1991, 39, 1063, 551, 1575, 295, 1319, 807, 1831, 167, 1191, 679, 1703, 423, 1447, 935, 1959, 103, 1127, 615, 1639, 359, 1383, 871, 1895, 231, 1255, 743, 1767, 487, 1511, 999, 2023, 23, 1047, 535, 1559, 279, 1303, 791, 1815, 151, 1175, 663, 1687, 407, 1431, 919, 1943, 87, 1111, 599, 1623, 343, 1367, 855, 1879, 215, 1239, 727, 1751, 471, 1495, 983, 2007, 55, 1079, 567, 1591, 311, 1335, 823, 1847, 183, 1207, 695, 1719, 439, 1463, 951, 1975, 119, 1143, 631, 1655, 375, 1399, 887, 1911, 247, 1271, 759, 1783, 503, 1527, 1015, 2039, 15, 1039, 527, 1551, 271, 1295, 783, 1807, 143, 1167, 655, 1679, 399, 1423, 911, 1935, 79, 1103, 591, 1615, 335, 1359, 847, 1871, 207, 1231, 719, 1743, 463, 1487, 975, 1999, 47, 1071, 559, 1583, 303, 1327, 815, 1839, 175, 1199, 687, 1711, 431, 1455, 943, 1967, 111, 1135, 623, 1647, 367, 1391, 879, 1903, 239, 1263, 751, 1775, 495, 1519, 1007, 2031, 31, 1055, 543, 1567, 287, 1311, 799, 1823, 159, 1183, 671, 1695, 415, 1439, 927, 1951, 95, 1119, 607, 1631, 351, 1375, 863, 1887, 223, 1247, 735, 1759, 479, 1503, 991, 2015, 63, 1087, 575, 1599, 319, 1343, 831, 1855, 191, 1215, 703, 1727, 447, 1471, 959, 1983, 127, 1151, 639, 1663, 383, 1407, 895, 1919, 255, 1279, 767, 1791, 511, 1535, 1023, 2047, }; static BROTLI_INLINE void StoreStaticCommandHuffmanTree( size_t* storage_ix, uint8_t* storage) { BrotliWriteBits( 56, BROTLI_MAKE_UINT64_T(0x926244U, 0x16307003U), storage_ix, storage); BrotliWriteBits(3, 0x00000000U, storage_ix, storage); } static const uint16_t kStaticDistanceCodeBits[64] = { 0, 32, 16, 48, 8, 40, 24, 56, 4, 36, 20, 52, 12, 44, 28, 60, 2, 34, 18, 50, 10, 42, 26, 58, 6, 38, 22, 54, 14, 46, 30, 62, 1, 33, 17, 49, 9, 41, 25, 57, 5, 37, 21, 53, 13, 45, 29, 61, 3, 35, 19, 51, 11, 43, 27, 59, 7, 39, 23, 55, 15, 47, 31, 63, }; static BROTLI_INLINE void StoreStaticDistanceHuffmanTree( size_t* storage_ix, uint8_t* storage) { BrotliWriteBits(28, 0x0369DC03u, storage_ix, storage); } /* GENERATED CODE END */ #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_ENTROPY_ENCODE_STATIC_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/command.h0000644000175000017500000001535414606651213017305 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* This class models a sequence of literals and a backward reference copy. */ #ifndef BROTLI_ENC_COMMAND_H_ #define BROTLI_ENC_COMMAND_H_ #include #include "../common/constants.h" #include "../common/platform.h" #include "fast_log.h" #include "params.h" #include "prefix.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif BROTLI_INTERNAL extern const uint32_t kBrotliInsBase[BROTLI_NUM_INS_COPY_CODES]; BROTLI_INTERNAL extern const uint32_t kBrotliInsExtra[BROTLI_NUM_INS_COPY_CODES]; BROTLI_INTERNAL extern const uint32_t kBrotliCopyBase[BROTLI_NUM_INS_COPY_CODES]; BROTLI_INTERNAL extern const uint32_t kBrotliCopyExtra[BROTLI_NUM_INS_COPY_CODES]; static BROTLI_INLINE uint16_t GetInsertLengthCode(size_t insertlen) { if (insertlen < 6) { return (uint16_t)insertlen; } else if (insertlen < 130) { uint32_t nbits = Log2FloorNonZero(insertlen - 2) - 1u; return (uint16_t)((nbits << 1) + ((insertlen - 2) >> nbits) + 2); } else if (insertlen < 2114) { return (uint16_t)(Log2FloorNonZero(insertlen - 66) + 10); } else if (insertlen < 6210) { return 21u; } else if (insertlen < 22594) { return 22u; } else { return 23u; } } static BROTLI_INLINE uint16_t GetCopyLengthCode(size_t copylen) { if (copylen < 10) { return (uint16_t)(copylen - 2); } else if (copylen < 134) { uint32_t nbits = Log2FloorNonZero(copylen - 6) - 1u; return (uint16_t)((nbits << 1) + ((copylen - 6) >> nbits) + 4); } else if (copylen < 2118) { return (uint16_t)(Log2FloorNonZero(copylen - 70) + 12); } else { return 23u; } } static BROTLI_INLINE uint16_t CombineLengthCodes( uint16_t inscode, uint16_t copycode, BROTLI_BOOL use_last_distance) { uint16_t bits64 = (uint16_t)((copycode & 0x7u) | ((inscode & 0x7u) << 3u)); if (use_last_distance && inscode < 8u && copycode < 16u) { return (copycode < 8u) ? bits64 : (bits64 | 64u); } else { /* Specification: 5 Encoding of ... (last table) */ /* offset = 2 * index, where index is in range [0..8] */ uint32_t offset = 2u * ((copycode >> 3u) + 3u * (inscode >> 3u)); /* All values in specification are K * 64, where K = [2, 3, 6, 4, 5, 8, 7, 9, 10], i + 1 = [1, 2, 3, 4, 5, 6, 7, 8, 9], K - i - 1 = [1, 1, 3, 0, 0, 2, 0, 1, 2] = D. All values in D require only 2 bits to encode. Magic constant is shifted 6 bits left, to avoid final multiplication. */ offset = (offset << 5u) + 0x40u + ((0x520D40u >> offset) & 0xC0u); return (uint16_t)(offset | bits64); } } static BROTLI_INLINE void GetLengthCode(size_t insertlen, size_t copylen, BROTLI_BOOL use_last_distance, uint16_t* code) { uint16_t inscode = GetInsertLengthCode(insertlen); uint16_t copycode = GetCopyLengthCode(copylen); *code = CombineLengthCodes(inscode, copycode, use_last_distance); } static BROTLI_INLINE uint32_t GetInsertBase(uint16_t inscode) { return kBrotliInsBase[inscode]; } static BROTLI_INLINE uint32_t GetInsertExtra(uint16_t inscode) { return kBrotliInsExtra[inscode]; } static BROTLI_INLINE uint32_t GetCopyBase(uint16_t copycode) { return kBrotliCopyBase[copycode]; } static BROTLI_INLINE uint32_t GetCopyExtra(uint16_t copycode) { return kBrotliCopyExtra[copycode]; } typedef struct Command { uint32_t insert_len_; /* Stores copy_len in low 25 bits and copy_code - copy_len in high 7 bit. */ uint32_t copy_len_; /* Stores distance extra bits. */ uint32_t dist_extra_; uint16_t cmd_prefix_; /* Stores distance code in low 10 bits and number of extra bits in high 6 bits. */ uint16_t dist_prefix_; } Command; /* distance_code is e.g. 0 for same-as-last short code, or 16 for offset 1. */ static BROTLI_INLINE void InitCommand(Command* self, const BrotliDistanceParams* dist, size_t insertlen, size_t copylen, int copylen_code_delta, size_t distance_code) { /* Don't rely on signed int representation, use honest casts. */ uint32_t delta = (uint8_t)((int8_t)copylen_code_delta); self->insert_len_ = (uint32_t)insertlen; self->copy_len_ = (uint32_t)(copylen | (delta << 25)); /* The distance prefix and extra bits are stored in this Command as if npostfix and ndirect were 0, they are only recomputed later after the clustering if needed. */ PrefixEncodeCopyDistance( distance_code, dist->num_direct_distance_codes, dist->distance_postfix_bits, &self->dist_prefix_, &self->dist_extra_); GetLengthCode( insertlen, (size_t)((int)copylen + copylen_code_delta), TO_BROTLI_BOOL((self->dist_prefix_ & 0x3FF) == 0), &self->cmd_prefix_); } static BROTLI_INLINE void InitInsertCommand(Command* self, size_t insertlen) { self->insert_len_ = (uint32_t)insertlen; self->copy_len_ = 4 << 25; self->dist_extra_ = 0; self->dist_prefix_ = BROTLI_NUM_DISTANCE_SHORT_CODES; GetLengthCode(insertlen, 4, BROTLI_FALSE, &self->cmd_prefix_); } static BROTLI_INLINE uint32_t CommandRestoreDistanceCode( const Command* self, const BrotliDistanceParams* dist) { if ((self->dist_prefix_ & 0x3FFu) < BROTLI_NUM_DISTANCE_SHORT_CODES + dist->num_direct_distance_codes) { return self->dist_prefix_ & 0x3FFu; } else { uint32_t dcode = self->dist_prefix_ & 0x3FFu; uint32_t nbits = self->dist_prefix_ >> 10; uint32_t extra = self->dist_extra_; uint32_t postfix_mask = (1U << dist->distance_postfix_bits) - 1U; uint32_t hcode = (dcode - dist->num_direct_distance_codes - BROTLI_NUM_DISTANCE_SHORT_CODES) >> dist->distance_postfix_bits; uint32_t lcode = (dcode - dist->num_direct_distance_codes - BROTLI_NUM_DISTANCE_SHORT_CODES) & postfix_mask; uint32_t offset = ((2U + (hcode & 1U)) << nbits) - 4U; return ((offset + extra) << dist->distance_postfix_bits) + lcode + dist->num_direct_distance_codes + BROTLI_NUM_DISTANCE_SHORT_CODES; } } static BROTLI_INLINE uint32_t CommandDistanceContext(const Command* self) { uint32_t r = self->cmd_prefix_ >> 6; uint32_t c = self->cmd_prefix_ & 7; if ((r == 0 || r == 2 || r == 4 || r == 7) && (c <= 2)) { return c; } return 3; } static BROTLI_INLINE uint32_t CommandCopyLen(const Command* self) { return self->copy_len_ & 0x1FFFFFF; } static BROTLI_INLINE uint32_t CommandCopyLenCode(const Command* self) { uint32_t modifier = self->copy_len_ >> 25; int32_t delta = (int8_t)((uint8_t)(modifier | ((modifier & 0x40) << 1))); return (uint32_t)((int32_t)(self->copy_len_ & 0x1FFFFFF) + delta); } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_COMMAND_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/hash_longest_match64_inc.h0000644000175000017500000002362614606651213022525 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2010 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: FN */ /* A (forgetful) hash table to the data seen by the compressor, to help create backward references to previous data. This is a hash map of fixed size (bucket_size_) to a ring buffer of fixed size (block_size_). The ring buffer contains the last block_size_ index positions of the given hash key in the compressed data. */ #define HashLongestMatch HASHER() static BROTLI_INLINE size_t FN(HashTypeLength)(void) { return 8; } static BROTLI_INLINE size_t FN(StoreLookahead)(void) { return 8; } /* HashBytes is the function that chooses the bucket to place the address in. */ static BROTLI_INLINE size_t FN(HashBytes)(const uint8_t* BROTLI_RESTRICT data, uint64_t hash_mul) { const uint64_t h = BROTLI_UNALIGNED_LOAD64LE(data) * hash_mul; /* The higher bits contain more mixture from the multiplication, so we take our results from there. */ return (size_t)(h >> (64 - 15)); } typedef struct HashLongestMatch { /* Number of hash buckets. */ size_t bucket_size_; /* Only block_size_ newest backward references are kept, and the older are forgotten. */ size_t block_size_; /* Hash multiplier tuned to match length. */ uint64_t hash_mul_; /* Mask for accessing entries in a block (in a ring-buffer manner). */ uint32_t block_mask_; int block_bits_; int num_last_distances_to_check_; /* Shortcuts. */ HasherCommon* common_; /* --- Dynamic size members --- */ /* Number of entries in a particular bucket. */ uint16_t* num_; /* uint16_t[bucket_size]; */ /* Buckets containing block_size_ of backward references. */ uint32_t* buckets_; /* uint32_t[bucket_size * block_size]; */ } HashLongestMatch; static void FN(Initialize)( HasherCommon* common, HashLongestMatch* BROTLI_RESTRICT self, const BrotliEncoderParams* params) { self->common_ = common; BROTLI_UNUSED(params); self->hash_mul_ = kHashMul64 << (64 - 5 * 8); BROTLI_DCHECK(common->params.bucket_bits == 15); self->bucket_size_ = (size_t)1 << common->params.bucket_bits; self->block_bits_ = common->params.block_bits; self->block_size_ = (size_t)1 << common->params.block_bits; self->block_mask_ = (uint32_t)(self->block_size_ - 1); self->num_last_distances_to_check_ = common->params.num_last_distances_to_check; self->num_ = (uint16_t*)common->extra[0]; self->buckets_ = (uint32_t*)common->extra[1]; } static void FN(Prepare)( HashLongestMatch* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, size_t input_size, const uint8_t* BROTLI_RESTRICT data) { uint16_t* BROTLI_RESTRICT num = self->num_; /* Partial preparation is 100 times slower (per socket). */ size_t partial_prepare_threshold = self->bucket_size_ >> 6; if (one_shot && input_size <= partial_prepare_threshold) { size_t i; for (i = 0; i < input_size; ++i) { const size_t key = FN(HashBytes)(&data[i], self->hash_mul_); num[key] = 0; } } else { memset(num, 0, self->bucket_size_ * sizeof(num[0])); } } static BROTLI_INLINE void FN(HashMemAllocInBytes)( const BrotliEncoderParams* params, BROTLI_BOOL one_shot, size_t input_size, size_t* alloc_size) { size_t bucket_size = (size_t)1 << params->hasher.bucket_bits; size_t block_size = (size_t)1 << params->hasher.block_bits; BROTLI_UNUSED(one_shot); BROTLI_UNUSED(input_size); alloc_size[0] = sizeof(uint16_t) * bucket_size; alloc_size[1] = sizeof(uint32_t) * bucket_size * block_size; } /* Look at 4 bytes at &data[ix & mask]. Compute a hash from these, and store the value of ix at that position. */ static BROTLI_INLINE void FN(Store)( HashLongestMatch* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix) { uint16_t* BROTLI_RESTRICT num = self->num_; uint32_t* BROTLI_RESTRICT buckets = self->buckets_; const size_t key = FN(HashBytes)(&data[ix & mask], self->hash_mul_); const size_t minor_ix = num[key] & self->block_mask_; const size_t offset = minor_ix + (key << self->block_bits_); ++num[key]; buckets[offset] = (uint32_t)ix; } static BROTLI_INLINE void FN(StoreRange)(HashLongestMatch* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix_start, const size_t ix_end) { size_t i; for (i = ix_start; i < ix_end; ++i) { FN(Store)(self, data, mask, i); } } static BROTLI_INLINE void FN(StitchToPreviousBlock)( HashLongestMatch* BROTLI_RESTRICT self, size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask) { if (num_bytes >= FN(HashTypeLength)() - 1 && position >= 3) { /* Prepare the hashes for three last bytes of the last write. These could not be calculated before, since they require knowledge of both the previous and the current block. */ FN(Store)(self, ringbuffer, ringbuffer_mask, position - 3); FN(Store)(self, ringbuffer, ringbuffer_mask, position - 2); FN(Store)(self, ringbuffer, ringbuffer_mask, position - 1); } } static BROTLI_INLINE void FN(PrepareDistanceCache)( HashLongestMatch* BROTLI_RESTRICT self, int* BROTLI_RESTRICT distance_cache) { PrepareDistanceCache(distance_cache, self->num_last_distances_to_check_); } /* Find a longest backward match of &data[cur_ix] up to the length of max_length and stores the position cur_ix in the hash table. REQUIRES: FN(PrepareDistanceCache) must be invoked for current distance cache values; if this method is invoked repeatedly with the same distance cache values, it is enough to invoke FN(PrepareDistanceCache) once. Does not look for matches longer than max_length. Does not look for matches further away than max_backward. Writes the best match into |out|. |out|->score is updated only if a better match is found. */ static BROTLI_INLINE void FN(FindLongestMatch)( HashLongestMatch* BROTLI_RESTRICT self, const BrotliEncoderDictionary* dictionary, const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, const int* BROTLI_RESTRICT distance_cache, const size_t cur_ix, const size_t max_length, const size_t max_backward, const size_t dictionary_distance, const size_t max_distance, HasherSearchResult* BROTLI_RESTRICT out) { uint16_t* BROTLI_RESTRICT num = self->num_; uint32_t* BROTLI_RESTRICT buckets = self->buckets_; const size_t cur_ix_masked = cur_ix & ring_buffer_mask; /* Don't accept a short copy from far away. */ score_t min_score = out->score; score_t best_score = out->score; size_t best_len = out->len; size_t i; out->len = 0; out->len_code_delta = 0; /* Try last distance first. */ for (i = 0; i < (size_t)self->num_last_distances_to_check_; ++i) { const size_t backward = (size_t)distance_cache[i]; size_t prev_ix = (size_t)(cur_ix - backward); if (prev_ix >= cur_ix) { continue; } if (BROTLI_PREDICT_FALSE(backward > max_backward)) { continue; } prev_ix &= ring_buffer_mask; if (cur_ix_masked + best_len > ring_buffer_mask || prev_ix + best_len > ring_buffer_mask || data[cur_ix_masked + best_len] != data[prev_ix + best_len]) { continue; } { const size_t len = FindMatchLengthWithLimit(&data[prev_ix], &data[cur_ix_masked], max_length); if (len >= 3 || (len == 2 && i < 2)) { /* Comparing for >= 2 does not change the semantics, but just saves for a few unnecessary binary logarithms in backward reference score, since we are not interested in such short matches. */ score_t score = BackwardReferenceScoreUsingLastDistance(len); if (best_score < score) { if (i != 0) score -= BackwardReferencePenaltyUsingLastDistance(i); if (best_score < score) { best_score = score; best_len = len; out->len = best_len; out->distance = backward; out->score = best_score; } } } } } { const size_t key = FN(HashBytes)(&data[cur_ix_masked], self->hash_mul_); uint32_t* BROTLI_RESTRICT bucket = &buckets[key << self->block_bits_]; const size_t down = (num[key] > self->block_size_) ? (num[key] - self->block_size_) : 0u; const uint32_t first4 = BrotliUnalignedRead32(data + cur_ix_masked); const size_t max_length_m4 = max_length - 4; i = num[key]; for (; i > down;) { size_t prev_ix = bucket[--i & self->block_mask_]; uint32_t current4; const size_t backward = cur_ix - prev_ix; if (BROTLI_PREDICT_FALSE(backward > max_backward)) { break; } prev_ix &= ring_buffer_mask; if (cur_ix_masked + best_len > ring_buffer_mask || prev_ix + best_len > ring_buffer_mask || data[cur_ix_masked + best_len] != data[prev_ix + best_len]) { continue; } current4 = BrotliUnalignedRead32(data + prev_ix); if (first4 != current4) continue; { const size_t len = FindMatchLengthWithLimit(&data[prev_ix + 4], &data[cur_ix_masked + 4], max_length_m4) + 4; const score_t score = BackwardReferenceScore(len, backward); if (best_score < score) { best_score = score; best_len = len; out->len = best_len; out->distance = backward; out->score = best_score; } } } bucket[num[key] & self->block_mask_] = (uint32_t)cur_ix; ++num[key]; } if (min_score == out->score) { SearchInStaticDictionary(dictionary, self->common_, &data[cur_ix_masked], max_length, dictionary_distance, max_distance, out, BROTLI_FALSE); } } #undef HashLongestMatch IO-Compress-Brotli-0.019/brotli/c/enc/write_bits.h0000644000175000017500000000545614606651213020044 0ustar timtim/* Copyright 2010 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Write bits into a byte array. */ #ifndef BROTLI_ENC_WRITE_BITS_H_ #define BROTLI_ENC_WRITE_BITS_H_ #include #include "../common/platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* This function writes bits into bytes in increasing addresses, and within a byte least-significant-bit first. The function can write up to 56 bits in one go with WriteBits Example: let's assume that 3 bits (Rs below) have been written already: BYTE-0 BYTE+1 BYTE+2 0000 0RRR 0000 0000 0000 0000 Now, we could write 5 or less bits in MSB by just shifting by 3 and OR'ing to BYTE-0. For n bits, we take the last 5 bits, OR that with high bits in BYTE-0, and locate the rest in BYTE+1, BYTE+2, etc. */ static BROTLI_INLINE void BrotliWriteBits(size_t n_bits, uint64_t bits, size_t* BROTLI_RESTRICT pos, uint8_t* BROTLI_RESTRICT array) { BROTLI_LOG(("WriteBits %2d 0x%08x%08x %10d\n", (int)n_bits, (uint32_t)(bits >> 32), (uint32_t)(bits & 0xFFFFFFFF), (int)*pos)); BROTLI_DCHECK((bits >> n_bits) == 0); BROTLI_DCHECK(n_bits <= 56); #if defined(BROTLI_LITTLE_ENDIAN) /* This branch of the code can write up to 56 bits at a time, 7 bits are lost by being perhaps already in *p and at least 1 bit is needed to initialize the bit-stream ahead (i.e. if 7 bits are in *p and we write 57 bits, then the next write will access a byte that was never initialized). */ { uint8_t* p = &array[*pos >> 3]; uint64_t v = (uint64_t)(*p); /* Zero-extend 8 to 64 bits. */ v |= bits << (*pos & 7); BROTLI_UNALIGNED_STORE64LE(p, v); /* Set some bits. */ *pos += n_bits; } #else /* implicit & 0xFF is assumed for uint8_t arithmetics */ { uint8_t* array_pos = &array[*pos >> 3]; const size_t bits_reserved_in_first_byte = (*pos & 7); size_t bits_left_to_write; bits <<= bits_reserved_in_first_byte; *array_pos++ |= (uint8_t)bits; for (bits_left_to_write = n_bits + bits_reserved_in_first_byte; bits_left_to_write >= 9; bits_left_to_write -= 8) { bits >>= 8; *array_pos++ = (uint8_t)bits; } *array_pos = 0; *pos += n_bits; } #endif } static BROTLI_INLINE void BrotliWriteBitsPrepareStorage( size_t pos, uint8_t* array) { BROTLI_LOG(("WriteBitsPrepareStorage %10d\n", (int)pos)); BROTLI_DCHECK((pos & 7) == 0); array[pos >> 3] = 0; } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_WRITE_BITS_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/backward_references.h0000644000175000017500000000242514606651213021641 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Function to find backward reference copies. */ #ifndef BROTLI_ENC_BACKWARD_REFERENCES_H_ #define BROTLI_ENC_BACKWARD_REFERENCES_H_ #include #include "../common/constants.h" #include "../common/context.h" #include "../common/dictionary.h" #include "../common/platform.h" #include "command.h" #include "hash.h" #include "quality.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* "commands" points to the next output command to write to, "*num_commands" is initially the total amount of commands output by previous CreateBackwardReferences calls, and must be incremented by the amount written by this call. */ BROTLI_INTERNAL void BrotliCreateBackwardReferences(size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, ContextLut literal_context_lut, const BrotliEncoderParams* params, Hasher* hasher, int* dist_cache, size_t* last_insert_len, Command* commands, size_t* num_commands, size_t* num_literals); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_BACKWARD_REFERENCES_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/backward_references_hq.c0000644000175000017500000010743714606651213022335 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Function to find backward reference copies. */ #include "backward_references_hq.h" #include /* memcpy, memset */ #include #include "../common/constants.h" #include "../common/platform.h" #include "command.h" #include "compound_dictionary.h" #include "encoder_dict.h" #include "fast_log.h" #include "find_match_length.h" #include "literal_cost.h" #include "memory.h" #include "params.h" #include "prefix.h" #include "quality.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* BrotliCalculateDistanceCodeLimit(BROTLI_MAX_ALLOWED_DISTANCE, 3, 120). */ #define BROTLI_MAX_EFFECTIVE_DISTANCE_ALPHABET_SIZE 544 static const float kInfinity = 1.7e38f; /* ~= 2 ^ 127 */ static const uint32_t kDistanceCacheIndex[] = { 0, 1, 2, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, }; static const int kDistanceCacheOffset[] = { 0, 0, 0, 0, -1, 1, -2, 2, -3, 3, -1, 1, -2, 2, -3, 3 }; void BrotliInitZopfliNodes(ZopfliNode* array, size_t length) { ZopfliNode stub; size_t i; stub.length = 1; stub.distance = 0; stub.dcode_insert_length = 0; stub.u.cost = kInfinity; for (i = 0; i < length; ++i) array[i] = stub; } static BROTLI_INLINE uint32_t ZopfliNodeCopyLength(const ZopfliNode* self) { return self->length & 0x1FFFFFF; } static BROTLI_INLINE uint32_t ZopfliNodeLengthCode(const ZopfliNode* self) { const uint32_t modifier = self->length >> 25; return ZopfliNodeCopyLength(self) + 9u - modifier; } static BROTLI_INLINE uint32_t ZopfliNodeCopyDistance(const ZopfliNode* self) { return self->distance; } static BROTLI_INLINE uint32_t ZopfliNodeDistanceCode(const ZopfliNode* self) { const uint32_t short_code = self->dcode_insert_length >> 27; return short_code == 0 ? ZopfliNodeCopyDistance(self) + BROTLI_NUM_DISTANCE_SHORT_CODES - 1 : short_code - 1; } static BROTLI_INLINE uint32_t ZopfliNodeCommandLength(const ZopfliNode* self) { return ZopfliNodeCopyLength(self) + (self->dcode_insert_length & 0x7FFFFFF); } /* Temporary data for ZopfliCostModelSetFromCommands. */ typedef struct ZopfliCostModelArena { uint32_t histogram_literal[BROTLI_NUM_LITERAL_SYMBOLS]; uint32_t histogram_cmd[BROTLI_NUM_COMMAND_SYMBOLS]; uint32_t histogram_dist[BROTLI_MAX_EFFECTIVE_DISTANCE_ALPHABET_SIZE]; float cost_literal[BROTLI_NUM_LITERAL_SYMBOLS]; } ZopfliCostModelArena; /* Histogram based cost model for zopflification. */ typedef struct ZopfliCostModel { /* The insert and copy length symbols. */ float cost_cmd_[BROTLI_NUM_COMMAND_SYMBOLS]; float* cost_dist_; uint32_t distance_histogram_size; /* Cumulative costs of literals per position in the stream. */ float* literal_costs_; float min_cost_cmd_; size_t num_bytes_; /* Temporary data. */ union { size_t literal_histograms[3 * 256]; ZopfliCostModelArena arena; }; } ZopfliCostModel; static void InitZopfliCostModel( MemoryManager* m, ZopfliCostModel* self, const BrotliDistanceParams* dist, size_t num_bytes) { self->num_bytes_ = num_bytes; self->literal_costs_ = BROTLI_ALLOC(m, float, num_bytes + 2); self->cost_dist_ = BROTLI_ALLOC(m, float, dist->alphabet_size_limit); self->distance_histogram_size = dist->alphabet_size_limit; if (BROTLI_IS_OOM(m)) return; } static void CleanupZopfliCostModel(MemoryManager* m, ZopfliCostModel* self) { BROTLI_FREE(m, self->literal_costs_); BROTLI_FREE(m, self->cost_dist_); } static void SetCost(const uint32_t* histogram, size_t histogram_size, BROTLI_BOOL literal_histogram, float* cost) { size_t sum = 0; size_t missing_symbol_sum; float log2sum; float missing_symbol_cost; size_t i; for (i = 0; i < histogram_size; i++) { sum += histogram[i]; } log2sum = (float)FastLog2(sum); missing_symbol_sum = sum; if (!literal_histogram) { for (i = 0; i < histogram_size; i++) { if (histogram[i] == 0) missing_symbol_sum++; } } missing_symbol_cost = (float)FastLog2(missing_symbol_sum) + 2; for (i = 0; i < histogram_size; i++) { if (histogram[i] == 0) { cost[i] = missing_symbol_cost; continue; } /* Shannon bits for this symbol. */ cost[i] = log2sum - (float)FastLog2(histogram[i]); /* Cannot be coded with less than 1 bit */ if (cost[i] < 1) cost[i] = 1; } } static void ZopfliCostModelSetFromCommands(ZopfliCostModel* self, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, const Command* commands, size_t num_commands, size_t last_insert_len) { ZopfliCostModelArena* arena = &self->arena; size_t pos = position - last_insert_len; float min_cost_cmd = kInfinity; size_t i; float* cost_cmd = self->cost_cmd_; memset(arena->histogram_literal, 0, sizeof(arena->histogram_literal)); memset(arena->histogram_cmd, 0, sizeof(arena->histogram_cmd)); memset(arena->histogram_dist, 0, sizeof(arena->histogram_dist)); for (i = 0; i < num_commands; i++) { size_t inslength = commands[i].insert_len_; size_t copylength = CommandCopyLen(&commands[i]); size_t distcode = commands[i].dist_prefix_ & 0x3FF; size_t cmdcode = commands[i].cmd_prefix_; size_t j; arena->histogram_cmd[cmdcode]++; if (cmdcode >= 128) arena->histogram_dist[distcode]++; for (j = 0; j < inslength; j++) { arena->histogram_literal[ringbuffer[(pos + j) & ringbuffer_mask]]++; } pos += inslength + copylength; } SetCost(arena->histogram_literal, BROTLI_NUM_LITERAL_SYMBOLS, BROTLI_TRUE, arena->cost_literal); SetCost(arena->histogram_cmd, BROTLI_NUM_COMMAND_SYMBOLS, BROTLI_FALSE, cost_cmd); SetCost(arena->histogram_dist, self->distance_histogram_size, BROTLI_FALSE, self->cost_dist_); for (i = 0; i < BROTLI_NUM_COMMAND_SYMBOLS; ++i) { min_cost_cmd = BROTLI_MIN(float, min_cost_cmd, cost_cmd[i]); } self->min_cost_cmd_ = min_cost_cmd; { float* literal_costs = self->literal_costs_; float literal_carry = 0.0; size_t num_bytes = self->num_bytes_; literal_costs[0] = 0.0; for (i = 0; i < num_bytes; ++i) { literal_carry += arena->cost_literal[ringbuffer[(position + i) & ringbuffer_mask]]; literal_costs[i + 1] = literal_costs[i] + literal_carry; literal_carry -= literal_costs[i + 1] - literal_costs[i]; } } } static void ZopfliCostModelSetFromLiteralCosts(ZopfliCostModel* self, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask) { float* literal_costs = self->literal_costs_; float literal_carry = 0.0; float* cost_dist = self->cost_dist_; float* cost_cmd = self->cost_cmd_; size_t num_bytes = self->num_bytes_; size_t i; BrotliEstimateBitCostsForLiterals(position, num_bytes, ringbuffer_mask, ringbuffer, self->literal_histograms, &literal_costs[1]); literal_costs[0] = 0.0; for (i = 0; i < num_bytes; ++i) { literal_carry += literal_costs[i + 1]; literal_costs[i + 1] = literal_costs[i] + literal_carry; literal_carry -= literal_costs[i + 1] - literal_costs[i]; } for (i = 0; i < BROTLI_NUM_COMMAND_SYMBOLS; ++i) { cost_cmd[i] = (float)FastLog2(11 + (uint32_t)i); } for (i = 0; i < self->distance_histogram_size; ++i) { cost_dist[i] = (float)FastLog2(20 + (uint32_t)i); } self->min_cost_cmd_ = (float)FastLog2(11); } static BROTLI_INLINE float ZopfliCostModelGetCommandCost( const ZopfliCostModel* self, uint16_t cmdcode) { return self->cost_cmd_[cmdcode]; } static BROTLI_INLINE float ZopfliCostModelGetDistanceCost( const ZopfliCostModel* self, size_t distcode) { return self->cost_dist_[distcode]; } static BROTLI_INLINE float ZopfliCostModelGetLiteralCosts( const ZopfliCostModel* self, size_t from, size_t to) { return self->literal_costs_[to] - self->literal_costs_[from]; } static BROTLI_INLINE float ZopfliCostModelGetMinCostCmd( const ZopfliCostModel* self) { return self->min_cost_cmd_; } /* REQUIRES: len >= 2, start_pos <= pos */ /* REQUIRES: cost < kInfinity, nodes[start_pos].cost < kInfinity */ /* Maintains the "ZopfliNode array invariant". */ static BROTLI_INLINE void UpdateZopfliNode(ZopfliNode* nodes, size_t pos, size_t start_pos, size_t len, size_t len_code, size_t dist, size_t short_code, float cost) { ZopfliNode* next = &nodes[pos + len]; next->length = (uint32_t)(len | ((len + 9u - len_code) << 25)); next->distance = (uint32_t)dist; next->dcode_insert_length = (uint32_t)( (short_code << 27) | (pos - start_pos)); next->u.cost = cost; } typedef struct PosData { size_t pos; int distance_cache[4]; float costdiff; float cost; } PosData; /* Maintains the smallest 8 cost difference together with their positions */ typedef struct StartPosQueue { PosData q_[8]; size_t idx_; } StartPosQueue; static BROTLI_INLINE void InitStartPosQueue(StartPosQueue* self) { self->idx_ = 0; } static size_t StartPosQueueSize(const StartPosQueue* self) { return BROTLI_MIN(size_t, self->idx_, 8); } static void StartPosQueuePush(StartPosQueue* self, const PosData* posdata) { size_t offset = ~(self->idx_++) & 7; size_t len = StartPosQueueSize(self); size_t i; PosData* q = self->q_; q[offset] = *posdata; /* Restore the sorted order. In the list of |len| items at most |len - 1| adjacent element comparisons / swaps are required. */ for (i = 1; i < len; ++i) { if (q[offset & 7].costdiff > q[(offset + 1) & 7].costdiff) { BROTLI_SWAP(PosData, q, offset & 7, (offset + 1) & 7); } ++offset; } } static const PosData* StartPosQueueAt(const StartPosQueue* self, size_t k) { return &self->q_[(k - self->idx_) & 7]; } /* Returns the minimum possible copy length that can improve the cost of any */ /* future position. */ static size_t ComputeMinimumCopyLength(const float start_cost, const ZopfliNode* nodes, const size_t num_bytes, const size_t pos) { /* Compute the minimum possible cost of reaching any future position. */ float min_cost = start_cost; size_t len = 2; size_t next_len_bucket = 4; size_t next_len_offset = 10; while (pos + len <= num_bytes && nodes[pos + len].u.cost <= min_cost) { /* We already reached (pos + len) with no more cost than the minimum possible cost of reaching anything from this pos, so there is no point in looking for lengths <= len. */ ++len; if (len == next_len_offset) { /* We reached the next copy length code bucket, so we add one more extra bit to the minimum cost. */ min_cost += 1.0f; next_len_offset += next_len_bucket; next_len_bucket *= 2; } } return len; } /* REQUIRES: nodes[pos].cost < kInfinity REQUIRES: nodes[0..pos] satisfies that "ZopfliNode array invariant". */ static uint32_t ComputeDistanceShortcut(const size_t block_start, const size_t pos, const size_t max_backward_limit, const size_t gap, const ZopfliNode* nodes) { const size_t clen = ZopfliNodeCopyLength(&nodes[pos]); const size_t ilen = nodes[pos].dcode_insert_length & 0x7FFFFFF; const size_t dist = ZopfliNodeCopyDistance(&nodes[pos]); /* Since |block_start + pos| is the end position of the command, the copy part starts from |block_start + pos - clen|. Distances that are greater than this or greater than |max_backward_limit| + |gap| are static dictionary references, and do not update the last distances. Also distance code 0 (last distance) does not update the last distances. */ if (pos == 0) { return 0; } else if (dist + clen <= block_start + pos + gap && dist <= max_backward_limit + gap && ZopfliNodeDistanceCode(&nodes[pos]) > 0) { return (uint32_t)pos; } else { return nodes[pos - clen - ilen].u.shortcut; } } /* Fills in dist_cache[0..3] with the last four distances (as defined by Section 4. of the Spec) that would be used at (block_start + pos) if we used the shortest path of commands from block_start, computed from nodes[0..pos]. The last four distances at block_start are in starting_dist_cache[0..3]. REQUIRES: nodes[pos].cost < kInfinity REQUIRES: nodes[0..pos] satisfies that "ZopfliNode array invariant". */ static void ComputeDistanceCache(const size_t pos, const int* starting_dist_cache, const ZopfliNode* nodes, int* dist_cache) { int idx = 0; size_t p = nodes[pos].u.shortcut; while (idx < 4 && p > 0) { const size_t ilen = nodes[p].dcode_insert_length & 0x7FFFFFF; const size_t clen = ZopfliNodeCopyLength(&nodes[p]); const size_t dist = ZopfliNodeCopyDistance(&nodes[p]); dist_cache[idx++] = (int)dist; /* Because of prerequisite, p >= clen + ilen >= 2. */ p = nodes[p - clen - ilen].u.shortcut; } for (; idx < 4; ++idx) { dist_cache[idx] = *starting_dist_cache++; } } /* Maintains "ZopfliNode array invariant" and pushes node to the queue, if it is eligible. */ static void EvaluateNode( const size_t block_start, const size_t pos, const size_t max_backward_limit, const size_t gap, const int* starting_dist_cache, const ZopfliCostModel* model, StartPosQueue* queue, ZopfliNode* nodes) { /* Save cost, because ComputeDistanceCache invalidates it. */ float node_cost = nodes[pos].u.cost; nodes[pos].u.shortcut = ComputeDistanceShortcut( block_start, pos, max_backward_limit, gap, nodes); if (node_cost <= ZopfliCostModelGetLiteralCosts(model, 0, pos)) { PosData posdata; posdata.pos = pos; posdata.cost = node_cost; posdata.costdiff = node_cost - ZopfliCostModelGetLiteralCosts(model, 0, pos); ComputeDistanceCache( pos, starting_dist_cache, nodes, posdata.distance_cache); StartPosQueuePush(queue, &posdata); } } /* Returns longest copy length. */ static size_t UpdateNodes( const size_t num_bytes, const size_t block_start, const size_t pos, const uint8_t* ringbuffer, const size_t ringbuffer_mask, const BrotliEncoderParams* params, const size_t max_backward_limit, const int* starting_dist_cache, const size_t num_matches, const BackwardMatch* matches, const ZopfliCostModel* model, StartPosQueue* queue, ZopfliNode* nodes) { const size_t stream_offset = params->stream_offset; const size_t cur_ix = block_start + pos; const size_t cur_ix_masked = cur_ix & ringbuffer_mask; const size_t max_distance = BROTLI_MIN(size_t, cur_ix, max_backward_limit); const size_t dictionary_start = BROTLI_MIN(size_t, cur_ix + stream_offset, max_backward_limit); const size_t max_len = num_bytes - pos; const size_t max_zopfli_len = MaxZopfliLen(params); const size_t max_iters = MaxZopfliCandidates(params); size_t min_len; size_t result = 0; size_t k; const CompoundDictionary* addon = ¶ms->dictionary.compound; size_t gap = addon->total_size; EvaluateNode(block_start + stream_offset, pos, max_backward_limit, gap, starting_dist_cache, model, queue, nodes); { const PosData* posdata = StartPosQueueAt(queue, 0); float min_cost = (posdata->cost + ZopfliCostModelGetMinCostCmd(model) + ZopfliCostModelGetLiteralCosts(model, posdata->pos, pos)); min_len = ComputeMinimumCopyLength(min_cost, nodes, num_bytes, pos); } /* Go over the command starting positions in order of increasing cost difference. */ for (k = 0; k < max_iters && k < StartPosQueueSize(queue); ++k) { const PosData* posdata = StartPosQueueAt(queue, k); const size_t start = posdata->pos; const uint16_t inscode = GetInsertLengthCode(pos - start); const float start_costdiff = posdata->costdiff; const float base_cost = start_costdiff + (float)GetInsertExtra(inscode) + ZopfliCostModelGetLiteralCosts(model, 0, pos); /* Look for last distance matches using the distance cache from this starting position. */ size_t best_len = min_len - 1; size_t j = 0; for (; j < BROTLI_NUM_DISTANCE_SHORT_CODES && best_len < max_len; ++j) { const size_t idx = kDistanceCacheIndex[j]; const size_t backward = (size_t)(posdata->distance_cache[idx] + kDistanceCacheOffset[j]); size_t prev_ix = cur_ix - backward; size_t len = 0; uint8_t continuation = ringbuffer[cur_ix_masked + best_len]; if (cur_ix_masked + best_len > ringbuffer_mask) { break; } if (BROTLI_PREDICT_FALSE(backward > dictionary_start + gap)) { /* Word dictionary -> ignore. */ continue; } if (backward <= max_distance) { /* Regular backward reference. */ if (prev_ix >= cur_ix) { continue; } prev_ix &= ringbuffer_mask; if (prev_ix + best_len > ringbuffer_mask || continuation != ringbuffer[prev_ix + best_len]) { continue; } len = FindMatchLengthWithLimit(&ringbuffer[prev_ix], &ringbuffer[cur_ix_masked], max_len); } else if (backward > dictionary_start) { size_t d = 0; size_t offset; size_t limit; const uint8_t* source; offset = dictionary_start + 1 + addon->total_size - 1; while (offset >= backward + addon->chunk_offsets[d + 1]) d++; source = addon->chunk_source[d]; offset = offset - addon->chunk_offsets[d] - backward; limit = addon->chunk_offsets[d + 1] - addon->chunk_offsets[d] - offset; limit = limit > max_len ? max_len : limit; if (best_len >= limit || continuation != source[offset + best_len]) { continue; } len = FindMatchLengthWithLimit(&source[offset], &ringbuffer[cur_ix_masked], limit); } else { /* "Gray" area. It is addressable by decoder, but this encoder instance does not have that data -> should not touch it. */ continue; } { const float dist_cost = base_cost + ZopfliCostModelGetDistanceCost(model, j); size_t l; for (l = best_len + 1; l <= len; ++l) { const uint16_t copycode = GetCopyLengthCode(l); const uint16_t cmdcode = CombineLengthCodes(inscode, copycode, j == 0); const float cost = (cmdcode < 128 ? base_cost : dist_cost) + (float)GetCopyExtra(copycode) + ZopfliCostModelGetCommandCost(model, cmdcode); if (cost < nodes[pos + l].u.cost) { UpdateZopfliNode(nodes, pos, start, l, l, backward, j + 1, cost); result = BROTLI_MAX(size_t, result, l); } best_len = l; } } } /* At higher iterations look only for new last distance matches, since looking only for new command start positions with the same distances does not help much. */ if (k >= 2) continue; { /* Loop through all possible copy lengths at this position. */ size_t len = min_len; for (j = 0; j < num_matches; ++j) { BackwardMatch match = matches[j]; size_t dist = match.distance; BROTLI_BOOL is_dictionary_match = TO_BROTLI_BOOL(dist > dictionary_start + gap); /* We already tried all possible last distance matches, so we can use normal distance code here. */ size_t dist_code = dist + BROTLI_NUM_DISTANCE_SHORT_CODES - 1; uint16_t dist_symbol; uint32_t distextra; uint32_t distnumextra; float dist_cost; size_t max_match_len; PrefixEncodeCopyDistance( dist_code, params->dist.num_direct_distance_codes, params->dist.distance_postfix_bits, &dist_symbol, &distextra); distnumextra = dist_symbol >> 10; dist_cost = base_cost + (float)distnumextra + ZopfliCostModelGetDistanceCost(model, dist_symbol & 0x3FF); /* Try all copy lengths up until the maximum copy length corresponding to this distance. If the distance refers to the static dictionary, or the maximum length is long enough, try only one maximum length. */ max_match_len = BackwardMatchLength(&match); if (len < max_match_len && (is_dictionary_match || max_match_len > max_zopfli_len)) { len = max_match_len; } for (; len <= max_match_len; ++len) { const size_t len_code = is_dictionary_match ? BackwardMatchLengthCode(&match) : len; const uint16_t copycode = GetCopyLengthCode(len_code); const uint16_t cmdcode = CombineLengthCodes(inscode, copycode, 0); const float cost = dist_cost + (float)GetCopyExtra(copycode) + ZopfliCostModelGetCommandCost(model, cmdcode); if (cost < nodes[pos + len].u.cost) { UpdateZopfliNode(nodes, pos, start, len, len_code, dist, 0, cost); result = BROTLI_MAX(size_t, result, len); } } } } } return result; } static size_t ComputeShortestPathFromNodes(size_t num_bytes, ZopfliNode* nodes) { size_t index = num_bytes; size_t num_commands = 0; while ((nodes[index].dcode_insert_length & 0x7FFFFFF) == 0 && nodes[index].length == 1) --index; nodes[index].u.next = BROTLI_UINT32_MAX; while (index != 0) { size_t len = ZopfliNodeCommandLength(&nodes[index]); index -= len; nodes[index].u.next = (uint32_t)len; num_commands++; } return num_commands; } /* REQUIRES: nodes != NULL and len(nodes) >= num_bytes + 1 */ void BrotliZopfliCreateCommands(const size_t num_bytes, const size_t block_start, const ZopfliNode* nodes, int* dist_cache, size_t* last_insert_len, const BrotliEncoderParams* params, Command* commands, size_t* num_literals) { const size_t stream_offset = params->stream_offset; const size_t max_backward_limit = BROTLI_MAX_BACKWARD_LIMIT(params->lgwin); size_t pos = 0; uint32_t offset = nodes[0].u.next; size_t i; size_t gap = params->dictionary.compound.total_size; for (i = 0; offset != BROTLI_UINT32_MAX; i++) { const ZopfliNode* next = &nodes[pos + offset]; size_t copy_length = ZopfliNodeCopyLength(next); size_t insert_length = next->dcode_insert_length & 0x7FFFFFF; pos += insert_length; offset = next->u.next; if (i == 0) { insert_length += *last_insert_len; *last_insert_len = 0; } { size_t distance = ZopfliNodeCopyDistance(next); size_t len_code = ZopfliNodeLengthCode(next); size_t dictionary_start = BROTLI_MIN(size_t, block_start + pos + stream_offset, max_backward_limit); BROTLI_BOOL is_dictionary = TO_BROTLI_BOOL(distance > dictionary_start + gap); size_t dist_code = ZopfliNodeDistanceCode(next); InitCommand(&commands[i], ¶ms->dist, insert_length, copy_length, (int)len_code - (int)copy_length, dist_code); if (!is_dictionary && dist_code > 0) { dist_cache[3] = dist_cache[2]; dist_cache[2] = dist_cache[1]; dist_cache[1] = dist_cache[0]; dist_cache[0] = (int)distance; } } *num_literals += insert_length; pos += copy_length; } *last_insert_len += num_bytes - pos; } static size_t ZopfliIterate(size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, const BrotliEncoderParams* params, const size_t gap, const int* dist_cache, const ZopfliCostModel* model, const uint32_t* num_matches, const BackwardMatch* matches, ZopfliNode* nodes) { const size_t stream_offset = params->stream_offset; const size_t max_backward_limit = BROTLI_MAX_BACKWARD_LIMIT(params->lgwin); const size_t max_zopfli_len = MaxZopfliLen(params); StartPosQueue queue; size_t cur_match_pos = 0; size_t i; nodes[0].length = 0; nodes[0].u.cost = 0; InitStartPosQueue(&queue); for (i = 0; i + 3 < num_bytes; i++) { size_t skip = UpdateNodes(num_bytes, position, i, ringbuffer, ringbuffer_mask, params, max_backward_limit, dist_cache, num_matches[i], &matches[cur_match_pos], model, &queue, nodes); if (skip < BROTLI_LONG_COPY_QUICK_STEP) skip = 0; cur_match_pos += num_matches[i]; if (num_matches[i] == 1 && BackwardMatchLength(&matches[cur_match_pos - 1]) > max_zopfli_len) { skip = BROTLI_MAX(size_t, BackwardMatchLength(&matches[cur_match_pos - 1]), skip); } if (skip > 1) { skip--; while (skip) { i++; if (i + 3 >= num_bytes) break; EvaluateNode(position + stream_offset, i, max_backward_limit, gap, dist_cache, model, &queue, nodes); cur_match_pos += num_matches[i]; skip--; } } } return ComputeShortestPathFromNodes(num_bytes, nodes); } static void MergeMatches(BackwardMatch* dst, BackwardMatch* src1, size_t len1, BackwardMatch* src2, size_t len2) { while (len1 > 0 && len2 > 0) { size_t l1 = BackwardMatchLength(src1); size_t l2 = BackwardMatchLength(src2); if (l1 < l2 || ((l1 == l2) && (src1->distance < src2->distance))) { *dst++ = *src1++; len1--; } else { *dst++ = *src2++; len2--; } } while (len1-- > 0) *dst++ = *src1++; while (len2-- > 0) *dst++ = *src2++; } /* REQUIRES: nodes != NULL and len(nodes) >= num_bytes + 1 */ size_t BrotliZopfliComputeShortestPath(MemoryManager* m, size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, ContextLut literal_context_lut, const BrotliEncoderParams* params, const int* dist_cache, Hasher* hasher, ZopfliNode* nodes) { const size_t stream_offset = params->stream_offset; const size_t max_backward_limit = BROTLI_MAX_BACKWARD_LIMIT(params->lgwin); const size_t max_zopfli_len = MaxZopfliLen(params); StartPosQueue queue; BackwardMatch* BROTLI_RESTRICT matches = BROTLI_ALLOC(m, BackwardMatch, 2 * (MAX_NUM_MATCHES_H10 + 64)); const size_t store_end = num_bytes >= StoreLookaheadH10() ? position + num_bytes - StoreLookaheadH10() + 1 : position; size_t i; const CompoundDictionary* addon = ¶ms->dictionary.compound; size_t gap = addon->total_size; size_t lz_matches_offset = (addon->num_chunks != 0) ? (MAX_NUM_MATCHES_H10 + 128) : 0; ZopfliCostModel* model = BROTLI_ALLOC(m, ZopfliCostModel, 1); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(model) || BROTLI_IS_NULL(matches)) { return 0; } nodes[0].length = 0; nodes[0].u.cost = 0; InitZopfliCostModel(m, model, ¶ms->dist, num_bytes); if (BROTLI_IS_OOM(m)) return 0; ZopfliCostModelSetFromLiteralCosts( model, position, ringbuffer, ringbuffer_mask); InitStartPosQueue(&queue); for (i = 0; i + HashTypeLengthH10() - 1 < num_bytes; i++) { const size_t pos = position + i; const size_t max_distance = BROTLI_MIN(size_t, pos, max_backward_limit); const size_t dictionary_start = BROTLI_MIN(size_t, pos + stream_offset, max_backward_limit); size_t skip; size_t num_matches; int dict_id = 0; if (params->dictionary.contextual.context_based) { uint8_t p1 = pos >= 1 ? ringbuffer[(size_t)(pos - 1) & ringbuffer_mask] : 0; uint8_t p2 = pos >= 2 ? ringbuffer[(size_t)(pos - 2) & ringbuffer_mask] : 0; dict_id = params->dictionary.contextual.context_map[ BROTLI_CONTEXT(p1, p2, literal_context_lut)]; } num_matches = FindAllMatchesH10(&hasher->privat._H10, params->dictionary.contextual.dict[dict_id], ringbuffer, ringbuffer_mask, pos, num_bytes - i, max_distance, dictionary_start + gap, params, &matches[lz_matches_offset]); if (addon->num_chunks != 0) { size_t cd_matches = LookupAllCompoundDictionaryMatches(addon, ringbuffer, ringbuffer_mask, pos, 3, num_bytes - i, dictionary_start, params->dist.max_distance, &matches[lz_matches_offset - 64], 64); MergeMatches(matches, &matches[lz_matches_offset - 64], cd_matches, &matches[lz_matches_offset], num_matches); num_matches += cd_matches; } if (num_matches > 0 && BackwardMatchLength(&matches[num_matches - 1]) > max_zopfli_len) { matches[0] = matches[num_matches - 1]; num_matches = 1; } skip = UpdateNodes(num_bytes, position, i, ringbuffer, ringbuffer_mask, params, max_backward_limit, dist_cache, num_matches, matches, model, &queue, nodes); if (skip < BROTLI_LONG_COPY_QUICK_STEP) skip = 0; if (num_matches == 1 && BackwardMatchLength(&matches[0]) > max_zopfli_len) { skip = BROTLI_MAX(size_t, BackwardMatchLength(&matches[0]), skip); } if (skip > 1) { /* Add the tail of the copy to the hasher. */ StoreRangeH10(&hasher->privat._H10, ringbuffer, ringbuffer_mask, pos + 1, BROTLI_MIN( size_t, pos + skip, store_end)); skip--; while (skip) { i++; if (i + HashTypeLengthH10() - 1 >= num_bytes) break; EvaluateNode(position + stream_offset, i, max_backward_limit, gap, dist_cache, model, &queue, nodes); skip--; } } } CleanupZopfliCostModel(m, model); BROTLI_FREE(m, model); BROTLI_FREE(m, matches); return ComputeShortestPathFromNodes(num_bytes, nodes); } void BrotliCreateZopfliBackwardReferences(MemoryManager* m, size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, ContextLut literal_context_lut, const BrotliEncoderParams* params, Hasher* hasher, int* dist_cache, size_t* last_insert_len, Command* commands, size_t* num_commands, size_t* num_literals) { ZopfliNode* nodes = BROTLI_ALLOC(m, ZopfliNode, num_bytes + 1); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(nodes)) return; BrotliInitZopfliNodes(nodes, num_bytes + 1); *num_commands += BrotliZopfliComputeShortestPath(m, num_bytes, position, ringbuffer, ringbuffer_mask, literal_context_lut, params, dist_cache, hasher, nodes); if (BROTLI_IS_OOM(m)) return; BrotliZopfliCreateCommands(num_bytes, position, nodes, dist_cache, last_insert_len, params, commands, num_literals); BROTLI_FREE(m, nodes); } void BrotliCreateHqZopfliBackwardReferences(MemoryManager* m, size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, ContextLut literal_context_lut, const BrotliEncoderParams* params, Hasher* hasher, int* dist_cache, size_t* last_insert_len, Command* commands, size_t* num_commands, size_t* num_literals) { const size_t stream_offset = params->stream_offset; const size_t max_backward_limit = BROTLI_MAX_BACKWARD_LIMIT(params->lgwin); uint32_t* num_matches = BROTLI_ALLOC(m, uint32_t, num_bytes); size_t matches_size = 4 * num_bytes; const size_t store_end = num_bytes >= StoreLookaheadH10() ? position + num_bytes - StoreLookaheadH10() + 1 : position; size_t cur_match_pos = 0; size_t i; size_t orig_num_literals; size_t orig_last_insert_len; int orig_dist_cache[4]; size_t orig_num_commands; ZopfliCostModel* model = BROTLI_ALLOC(m, ZopfliCostModel, 1); ZopfliNode* nodes; BackwardMatch* matches = BROTLI_ALLOC(m, BackwardMatch, matches_size); const CompoundDictionary* addon = ¶ms->dictionary.compound; size_t gap = addon->total_size; size_t shadow_matches = (addon->num_chunks != 0) ? (MAX_NUM_MATCHES_H10 + 128) : 0; if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(model) || BROTLI_IS_NULL(num_matches) || BROTLI_IS_NULL(matches)) { return; } for (i = 0; i + HashTypeLengthH10() - 1 < num_bytes; ++i) { const size_t pos = position + i; size_t max_distance = BROTLI_MIN(size_t, pos, max_backward_limit); size_t dictionary_start = BROTLI_MIN(size_t, pos + stream_offset, max_backward_limit); size_t max_length = num_bytes - i; size_t num_found_matches; size_t cur_match_end; size_t j; int dict_id = 0; if (params->dictionary.contextual.context_based) { uint8_t p1 = pos >= 1 ? ringbuffer[(size_t)(pos - 1) & ringbuffer_mask] : 0; uint8_t p2 = pos >= 2 ? ringbuffer[(size_t)(pos - 2) & ringbuffer_mask] : 0; dict_id = params->dictionary.contextual.context_map[ BROTLI_CONTEXT(p1, p2, literal_context_lut)]; } /* Ensure that we have enough free slots. */ BROTLI_ENSURE_CAPACITY(m, BackwardMatch, matches, matches_size, cur_match_pos + MAX_NUM_MATCHES_H10 + shadow_matches); if (BROTLI_IS_OOM(m)) return; num_found_matches = FindAllMatchesH10(&hasher->privat._H10, params->dictionary.contextual.dict[dict_id], ringbuffer, ringbuffer_mask, pos, max_length, max_distance, dictionary_start + gap, params, &matches[cur_match_pos + shadow_matches]); if (addon->num_chunks != 0) { size_t cd_matches = LookupAllCompoundDictionaryMatches(addon, ringbuffer, ringbuffer_mask, pos, 3, max_length, dictionary_start, params->dist.max_distance, &matches[cur_match_pos + shadow_matches - 64], 64); MergeMatches(&matches[cur_match_pos], &matches[cur_match_pos + shadow_matches - 64], cd_matches, &matches[cur_match_pos + shadow_matches], num_found_matches); num_found_matches += cd_matches; } cur_match_end = cur_match_pos + num_found_matches; for (j = cur_match_pos; j + 1 < cur_match_end; ++j) { BROTLI_DCHECK(BackwardMatchLength(&matches[j]) <= BackwardMatchLength(&matches[j + 1])); } num_matches[i] = (uint32_t)num_found_matches; if (num_found_matches > 0) { const size_t match_len = BackwardMatchLength(&matches[cur_match_end - 1]); if (match_len > MAX_ZOPFLI_LEN_QUALITY_11) { const size_t skip = match_len - 1; matches[cur_match_pos++] = matches[cur_match_end - 1]; num_matches[i] = 1; /* Add the tail of the copy to the hasher. */ StoreRangeH10(&hasher->privat._H10, ringbuffer, ringbuffer_mask, pos + 1, BROTLI_MIN(size_t, pos + match_len, store_end)); memset(&num_matches[i + 1], 0, skip * sizeof(num_matches[0])); i += skip; } else { cur_match_pos = cur_match_end; } } } orig_num_literals = *num_literals; orig_last_insert_len = *last_insert_len; memcpy(orig_dist_cache, dist_cache, 4 * sizeof(dist_cache[0])); orig_num_commands = *num_commands; nodes = BROTLI_ALLOC(m, ZopfliNode, num_bytes + 1); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(nodes)) return; InitZopfliCostModel(m, model, ¶ms->dist, num_bytes); if (BROTLI_IS_OOM(m)) return; for (i = 0; i < 2; i++) { BrotliInitZopfliNodes(nodes, num_bytes + 1); if (i == 0) { ZopfliCostModelSetFromLiteralCosts( model, position, ringbuffer, ringbuffer_mask); } else { ZopfliCostModelSetFromCommands(model, position, ringbuffer, ringbuffer_mask, commands, *num_commands - orig_num_commands, orig_last_insert_len); } *num_commands = orig_num_commands; *num_literals = orig_num_literals; *last_insert_len = orig_last_insert_len; memcpy(dist_cache, orig_dist_cache, 4 * sizeof(dist_cache[0])); *num_commands += ZopfliIterate(num_bytes, position, ringbuffer, ringbuffer_mask, params, gap, dist_cache, model, num_matches, matches, nodes); BrotliZopfliCreateCommands(num_bytes, position, nodes, dist_cache, last_insert_len, params, commands, num_literals); } CleanupZopfliCostModel(m, model); BROTLI_FREE(m, model); BROTLI_FREE(m, nodes); BROTLI_FREE(m, matches); BROTLI_FREE(m, num_matches); } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/hash_longest_match_inc.h0000644000175000017500000002340714606651213022350 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2010 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: FN */ /* A (forgetful) hash table to the data seen by the compressor, to help create backward references to previous data. This is a hash map of fixed size (bucket_size_) to a ring buffer of fixed size (block_size_). The ring buffer contains the last block_size_ index positions of the given hash key in the compressed data. */ #define HashLongestMatch HASHER() static BROTLI_INLINE size_t FN(HashTypeLength)(void) { return 4; } static BROTLI_INLINE size_t FN(StoreLookahead)(void) { return 4; } /* HashBytes is the function that chooses the bucket to place the address in. */ static uint32_t FN(HashBytes)( const uint8_t* BROTLI_RESTRICT data, const int shift) { uint32_t h = BROTLI_UNALIGNED_LOAD32LE(data) * kHashMul32; /* The higher bits contain more mixture from the multiplication, so we take our results from there. */ return (uint32_t)(h >> shift); } typedef struct HashLongestMatch { /* Number of hash buckets. */ size_t bucket_size_; /* Only block_size_ newest backward references are kept, and the older are forgotten. */ size_t block_size_; /* Left-shift for computing hash bucket index from hash value. */ int hash_shift_; /* Mask for accessing entries in a block (in a ring-buffer manner). */ uint32_t block_mask_; int block_bits_; int num_last_distances_to_check_; /* Shortcuts. */ HasherCommon* common_; /* --- Dynamic size members --- */ /* Number of entries in a particular bucket. */ uint16_t* num_; /* uint16_t[bucket_size]; */ /* Buckets containing block_size_ of backward references. */ uint32_t* buckets_; /* uint32_t[bucket_size * block_size]; */ } HashLongestMatch; static void FN(Initialize)( HasherCommon* common, HashLongestMatch* BROTLI_RESTRICT self, const BrotliEncoderParams* params) { self->common_ = common; BROTLI_UNUSED(params); self->hash_shift_ = 32 - common->params.bucket_bits; self->bucket_size_ = (size_t)1 << common->params.bucket_bits; self->block_size_ = (size_t)1 << common->params.block_bits; self->block_mask_ = (uint32_t)(self->block_size_ - 1); self->num_ = (uint16_t*)common->extra[0]; self->buckets_ = (uint32_t*)common->extra[1]; self->block_bits_ = common->params.block_bits; self->num_last_distances_to_check_ = common->params.num_last_distances_to_check; } static void FN(Prepare)( HashLongestMatch* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, size_t input_size, const uint8_t* BROTLI_RESTRICT data) { uint16_t* BROTLI_RESTRICT num = self->num_; /* Partial preparation is 100 times slower (per socket). */ size_t partial_prepare_threshold = self->bucket_size_ >> 6; if (one_shot && input_size <= partial_prepare_threshold) { size_t i; for (i = 0; i < input_size; ++i) { const uint32_t key = FN(HashBytes)(&data[i], self->hash_shift_); num[key] = 0; } } else { memset(num, 0, self->bucket_size_ * sizeof(num[0])); } } static BROTLI_INLINE void FN(HashMemAllocInBytes)( const BrotliEncoderParams* params, BROTLI_BOOL one_shot, size_t input_size, size_t* alloc_size) { size_t bucket_size = (size_t)1 << params->hasher.bucket_bits; size_t block_size = (size_t)1 << params->hasher.block_bits; BROTLI_UNUSED(one_shot); BROTLI_UNUSED(input_size); alloc_size[0] = sizeof(uint16_t) * bucket_size; alloc_size[1] = sizeof(uint32_t) * bucket_size * block_size; } /* Look at 4 bytes at &data[ix & mask]. Compute a hash from these, and store the value of ix at that position. */ static BROTLI_INLINE void FN(Store)( HashLongestMatch* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix) { const uint32_t key = FN(HashBytes)(&data[ix & mask], self->hash_shift_); const size_t minor_ix = self->num_[key] & self->block_mask_; const size_t offset = minor_ix + (key << self->block_bits_); self->buckets_[offset] = (uint32_t)ix; ++self->num_[key]; } static BROTLI_INLINE void FN(StoreRange)(HashLongestMatch* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix_start, const size_t ix_end) { size_t i; for (i = ix_start; i < ix_end; ++i) { FN(Store)(self, data, mask, i); } } static BROTLI_INLINE void FN(StitchToPreviousBlock)( HashLongestMatch* BROTLI_RESTRICT self, size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask) { if (num_bytes >= FN(HashTypeLength)() - 1 && position >= 3) { /* Prepare the hashes for three last bytes of the last write. These could not be calculated before, since they require knowledge of both the previous and the current block. */ FN(Store)(self, ringbuffer, ringbuffer_mask, position - 3); FN(Store)(self, ringbuffer, ringbuffer_mask, position - 2); FN(Store)(self, ringbuffer, ringbuffer_mask, position - 1); } } static BROTLI_INLINE void FN(PrepareDistanceCache)( HashLongestMatch* BROTLI_RESTRICT self, int* BROTLI_RESTRICT distance_cache) { PrepareDistanceCache(distance_cache, self->num_last_distances_to_check_); } /* Find a longest backward match of &data[cur_ix] up to the length of max_length and stores the position cur_ix in the hash table. REQUIRES: FN(PrepareDistanceCache) must be invoked for current distance cache values; if this method is invoked repeatedly with the same distance cache values, it is enough to invoke FN(PrepareDistanceCache) once. Does not look for matches longer than max_length. Does not look for matches further away than max_backward. Writes the best match into |out|. |out|->score is updated only if a better match is found. */ static BROTLI_INLINE void FN(FindLongestMatch)( HashLongestMatch* BROTLI_RESTRICT self, const BrotliEncoderDictionary* dictionary, const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, const int* BROTLI_RESTRICT distance_cache, const size_t cur_ix, const size_t max_length, const size_t max_backward, const size_t dictionary_distance, const size_t max_distance, HasherSearchResult* BROTLI_RESTRICT out) { uint16_t* BROTLI_RESTRICT num = self->num_; uint32_t* BROTLI_RESTRICT buckets = self->buckets_; const size_t cur_ix_masked = cur_ix & ring_buffer_mask; /* Don't accept a short copy from far away. */ score_t min_score = out->score; score_t best_score = out->score; size_t best_len = out->len; size_t i; out->len = 0; out->len_code_delta = 0; /* Try last distance first. */ for (i = 0; i < (size_t)self->num_last_distances_to_check_; ++i) { const size_t backward = (size_t)distance_cache[i]; size_t prev_ix = (size_t)(cur_ix - backward); if (prev_ix >= cur_ix) { continue; } if (BROTLI_PREDICT_FALSE(backward > max_backward)) { continue; } prev_ix &= ring_buffer_mask; if (cur_ix_masked + best_len > ring_buffer_mask || prev_ix + best_len > ring_buffer_mask || data[cur_ix_masked + best_len] != data[prev_ix + best_len]) { continue; } { const size_t len = FindMatchLengthWithLimit(&data[prev_ix], &data[cur_ix_masked], max_length); if (len >= 3 || (len == 2 && i < 2)) { /* Comparing for >= 2 does not change the semantics, but just saves for a few unnecessary binary logarithms in backward reference score, since we are not interested in such short matches. */ score_t score = BackwardReferenceScoreUsingLastDistance(len); if (best_score < score) { if (i != 0) score -= BackwardReferencePenaltyUsingLastDistance(i); if (best_score < score) { best_score = score; best_len = len; out->len = best_len; out->distance = backward; out->score = best_score; } } } } } { const uint32_t key = FN(HashBytes)(&data[cur_ix_masked], self->hash_shift_); uint32_t* BROTLI_RESTRICT bucket = &buckets[key << self->block_bits_]; const size_t down = (num[key] > self->block_size_) ? (num[key] - self->block_size_) : 0u; for (i = num[key]; i > down;) { size_t prev_ix = bucket[--i & self->block_mask_]; const size_t backward = cur_ix - prev_ix; if (BROTLI_PREDICT_FALSE(backward > max_backward)) { break; } prev_ix &= ring_buffer_mask; if (cur_ix_masked + best_len > ring_buffer_mask || prev_ix + best_len > ring_buffer_mask || data[cur_ix_masked + best_len] != data[prev_ix + best_len]) { continue; } { const size_t len = FindMatchLengthWithLimit(&data[prev_ix], &data[cur_ix_masked], max_length); if (len >= 4) { /* Comparing for >= 3 does not change the semantics, but just saves for a few unnecessary binary logarithms in backward reference score, since we are not interested in such short matches. */ score_t score = BackwardReferenceScore(len, backward); if (best_score < score) { best_score = score; best_len = len; out->len = best_len; out->distance = backward; out->score = best_score; } } } } bucket[num[key] & self->block_mask_] = (uint32_t)cur_ix; ++num[key]; } if (min_score == out->score) { SearchInStaticDictionary(dictionary, self->common_, &data[cur_ix_masked], max_length, dictionary_distance, max_distance, out, BROTLI_FALSE); } } #undef HashLongestMatch IO-Compress-Brotli-0.019/brotli/c/enc/memory.h0000644000175000017500000001040614606651213017170 0ustar timtim/* Copyright 2016 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Macros for memory management. */ #ifndef BROTLI_ENC_MEMORY_H_ #define BROTLI_ENC_MEMORY_H_ #include /* memcpy */ #include #include "../common/platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #if !defined(BROTLI_ENCODER_CLEANUP_ON_OOM) && \ !defined(BROTLI_ENCODER_EXIT_ON_OOM) #define BROTLI_ENCODER_EXIT_ON_OOM #endif #if !defined(BROTLI_ENCODER_EXIT_ON_OOM) #if defined(BROTLI_EXPERIMENTAL) #define BROTLI_ENCODER_MEMORY_MANAGER_SLOTS (48*1024) #else /* BROTLI_EXPERIMENTAL */ #define BROTLI_ENCODER_MEMORY_MANAGER_SLOTS 256 #endif /* BROTLI_EXPERIMENTAL */ #else /* BROTLI_ENCODER_EXIT_ON_OOM */ #define BROTLI_ENCODER_MEMORY_MANAGER_SLOTS 0 #endif /* BROTLI_ENCODER_EXIT_ON_OOM */ typedef struct MemoryManager { brotli_alloc_func alloc_func; brotli_free_func free_func; void* opaque; #if !defined(BROTLI_ENCODER_EXIT_ON_OOM) BROTLI_BOOL is_oom; size_t perm_allocated; size_t new_allocated; size_t new_freed; void* pointers[BROTLI_ENCODER_MEMORY_MANAGER_SLOTS]; #endif /* BROTLI_ENCODER_EXIT_ON_OOM */ } MemoryManager; BROTLI_INTERNAL void BrotliInitMemoryManager( MemoryManager* m, brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque); BROTLI_INTERNAL void* BrotliAllocate(MemoryManager* m, size_t n); #define BROTLI_ALLOC(M, T, N) \ ((N) > 0 ? ((T*)BrotliAllocate((M), (N) * sizeof(T))) : NULL) BROTLI_INTERNAL void BrotliFree(MemoryManager* m, void* p); #define BROTLI_FREE(M, P) { \ BrotliFree((M), (P)); \ P = NULL; \ } #if defined(BROTLI_ENCODER_EXIT_ON_OOM) #define BROTLI_IS_OOM(M) (!!0) #else /* BROTLI_ENCODER_EXIT_ON_OOM */ #define BROTLI_IS_OOM(M) (!!(M)->is_oom) #endif /* BROTLI_ENCODER_EXIT_ON_OOM */ /* BROTLI_IS_NULL is a fake check, BROTLI_IS_OOM does the heavy lifting. The only purpose of it is to explain static analyzers the state of things. NB: use ONLY together with BROTLI_IS_OOM AND ONLY for allocations in the current scope. */ #if defined(__clang_analyzer__) && !defined(BROTLI_ENCODER_EXIT_ON_OOM) #define BROTLI_IS_NULL(A) ((A) == nullptr) #else /* defined(__clang_analyzer__) */ #define BROTLI_IS_NULL(A) (!!0) #endif /* defined(__clang_analyzer__) */ BROTLI_INTERNAL void BrotliWipeOutMemoryManager(MemoryManager* m); /* Dynamically grows array capacity to at least the requested size M: MemoryManager T: data type A: array C: capacity R: requested size */ #define BROTLI_ENSURE_CAPACITY(M, T, A, C, R) { \ if (C < (R)) { \ size_t _new_size = (C == 0) ? (R) : C; \ T* new_array; \ while (_new_size < (R)) _new_size *= 2; \ new_array = BROTLI_ALLOC((M), T, _new_size); \ if (!BROTLI_IS_OOM(M) && !BROTLI_IS_NULL(new_array) && C != 0) \ memcpy(new_array, A, C * sizeof(T)); \ BROTLI_FREE((M), A); \ A = new_array; \ C = _new_size; \ } \ } /* Appends value and dynamically grows array capacity when needed M: MemoryManager T: data type A: array C: array capacity S: array size V: value to append */ #define BROTLI_ENSURE_CAPACITY_APPEND(M, T, A, C, S, V) { \ (S)++; \ BROTLI_ENSURE_CAPACITY(M, T, A, C, S); \ A[(S) - 1] = (V); \ } /* "Bootstrap" allocations are not tracked by memory manager; should be used only to allocate MemoryManager itself (or structure containing it). */ BROTLI_INTERNAL void* BrotliBootstrapAlloc(size_t size, brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque); BROTLI_INTERNAL void BrotliBootstrapFree(void* address, MemoryManager* m); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_MEMORY_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/histogram_inc.h0000644000175000017500000000257114606651213020512 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: Histogram, DATA_SIZE, DataType */ /* A simple container for histograms of data in blocks. */ typedef struct FN(Histogram) { uint32_t data_[DATA_SIZE]; size_t total_count_; double bit_cost_; } FN(Histogram); static BROTLI_INLINE void FN(HistogramClear)(FN(Histogram)* self) { memset(self->data_, 0, sizeof(self->data_)); self->total_count_ = 0; self->bit_cost_ = HUGE_VAL; } static BROTLI_INLINE void FN(ClearHistograms)( FN(Histogram)* array, size_t length) { size_t i; for (i = 0; i < length; ++i) FN(HistogramClear)(array + i); } static BROTLI_INLINE void FN(HistogramAdd)(FN(Histogram)* self, size_t val) { ++self->data_[val]; ++self->total_count_; } static BROTLI_INLINE void FN(HistogramAddVector)(FN(Histogram)* self, const DataType* p, size_t n) { self->total_count_ += n; n += 1; while (--n) ++self->data_[*p++]; } static BROTLI_INLINE void FN(HistogramAddHistogram)(FN(Histogram)* self, const FN(Histogram)* v) { size_t i; self->total_count_ += v->total_count_; for (i = 0; i < DATA_SIZE; ++i) { self->data_[i] += v->data_[i]; } } static BROTLI_INLINE size_t FN(HistogramDataSize)(void) { return DATA_SIZE; } IO-Compress-Brotli-0.019/brotli/c/enc/backward_references.c0000644000175000017500000001305114606651213021631 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Function to find backward reference copies. */ #include "backward_references.h" #include #include "../common/constants.h" #include "../common/dictionary.h" #include "../common/platform.h" #include "command.h" #include "compound_dictionary.h" #include "dictionary_hash.h" #include "encoder_dict.h" #include "memory.h" #include "quality.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif static BROTLI_INLINE size_t ComputeDistanceCode(size_t distance, size_t max_distance, const int* dist_cache) { if (distance <= max_distance) { size_t distance_plus_3 = distance + 3; size_t offset0 = distance_plus_3 - (size_t)dist_cache[0]; size_t offset1 = distance_plus_3 - (size_t)dist_cache[1]; if (distance == (size_t)dist_cache[0]) { return 0; } else if (distance == (size_t)dist_cache[1]) { return 1; } else if (offset0 < 7) { return (0x9750468 >> (4 * offset0)) & 0xF; } else if (offset1 < 7) { return (0xFDB1ACE >> (4 * offset1)) & 0xF; } else if (distance == (size_t)dist_cache[2]) { return 2; } else if (distance == (size_t)dist_cache[3]) { return 3; } } return distance + BROTLI_NUM_DISTANCE_SHORT_CODES - 1; } #define EXPAND_CAT(a, b) CAT(a, b) #define CAT(a, b) a ## b #define FN(X) EXPAND_CAT(X, HASHER()) #define EXPORT_FN(X) EXPAND_CAT(X, EXPAND_CAT(PREFIX(), HASHER())) #define PREFIX() N #define ENABLE_COMPOUND_DICTIONARY 0 #define HASHER() H2 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H3 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H4 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H5 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H6 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H40 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H41 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H42 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H54 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H35 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H55 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H65 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #undef ENABLE_COMPOUND_DICTIONARY #undef PREFIX #define PREFIX() D #define ENABLE_COMPOUND_DICTIONARY 1 #define HASHER() H5 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H6 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H40 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H41 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H42 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H55 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #define HASHER() H65 /* NOLINTNEXTLINE(build/include) */ #include "backward_references_inc.h" #undef HASHER #undef ENABLE_COMPOUND_DICTIONARY #undef PREFIX #undef EXPORT_FN #undef FN #undef CAT #undef EXPAND_CAT void BrotliCreateBackwardReferences(size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, ContextLut literal_context_lut, const BrotliEncoderParams* params, Hasher* hasher, int* dist_cache, size_t* last_insert_len, Command* commands, size_t* num_commands, size_t* num_literals) { if (params->dictionary.compound.num_chunks != 0) { switch (params->hasher.type) { #define CASE_(N) \ case N: \ CreateBackwardReferencesDH ## N(num_bytes, \ position, ringbuffer, ringbuffer_mask, \ literal_context_lut, params, hasher, dist_cache, \ last_insert_len, commands, num_commands, num_literals); \ return; CASE_(5) CASE_(6) CASE_(40) CASE_(41) CASE_(42) CASE_(55) CASE_(65) #undef CASE_ default: BROTLI_DCHECK(false); break; } } switch (params->hasher.type) { #define CASE_(N) \ case N: \ CreateBackwardReferencesNH ## N(num_bytes, \ position, ringbuffer, ringbuffer_mask, \ literal_context_lut, params, hasher, dist_cache, \ last_insert_len, commands, num_commands, num_literals); \ return; FOR_GENERIC_HASHERS(CASE_) #undef CASE_ default: BROTLI_DCHECK(false); break; } } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/entropy_encode.h0000644000175000017500000000773114606651213020704 0ustar timtim/* Copyright 2010 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Entropy encoding (Huffman) utilities. */ #ifndef BROTLI_ENC_ENTROPY_ENCODE_H_ #define BROTLI_ENC_ENTROPY_ENCODE_H_ #include #include "../common/platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* A node of a Huffman tree. */ typedef struct HuffmanTree { uint32_t total_count_; int16_t index_left_; int16_t index_right_or_value_; } HuffmanTree; static BROTLI_INLINE void InitHuffmanTree(HuffmanTree* self, uint32_t count, int16_t left, int16_t right) { self->total_count_ = count; self->index_left_ = left; self->index_right_or_value_ = right; } /* Returns 1 is assignment of depths succeeded, otherwise 0. */ BROTLI_INTERNAL BROTLI_BOOL BrotliSetDepth( int p, HuffmanTree* pool, uint8_t* depth, int max_depth); /* This function will create a Huffman tree. The (data,length) contains the population counts. The tree_limit is the maximum bit depth of the Huffman codes. The depth contains the tree, i.e., how many bits are used for the symbol. The actual Huffman tree is constructed in the tree[] array, which has to be at least 2 * length + 1 long. See http://en.wikipedia.org/wiki/Huffman_coding */ BROTLI_INTERNAL void BrotliCreateHuffmanTree(const uint32_t* data, const size_t length, const int tree_limit, HuffmanTree* tree, uint8_t* depth); /* Change the population counts in a way that the consequent Huffman tree compression, especially its RLE-part will be more likely to compress this data more efficiently. length contains the size of the histogram. counts contains the population counts. good_for_rle is a buffer of at least length size */ BROTLI_INTERNAL void BrotliOptimizeHuffmanCountsForRle( size_t length, uint32_t* counts, uint8_t* good_for_rle); /* Write a Huffman tree from bit depths into the bit-stream representation of a Huffman tree. The generated Huffman tree is to be compressed once more using a Huffman tree */ BROTLI_INTERNAL void BrotliWriteHuffmanTree(const uint8_t* depth, size_t num, size_t* tree_size, uint8_t* tree, uint8_t* extra_bits_data); /* Get the actual bit values for a tree of bit depths. */ BROTLI_INTERNAL void BrotliConvertBitDepthsToSymbols(const uint8_t* depth, size_t len, uint16_t* bits); BROTLI_INTERNAL extern const size_t kBrotliShellGaps[6]; /* Input size optimized Shell sort. */ typedef BROTLI_BOOL (*HuffmanTreeComparator)( const HuffmanTree*, const HuffmanTree*); static BROTLI_INLINE void SortHuffmanTreeItems(HuffmanTree* items, const size_t n, HuffmanTreeComparator comparator) { if (n < 13) { /* Insertion sort. */ size_t i; for (i = 1; i < n; ++i) { HuffmanTree tmp = items[i]; size_t k = i; size_t j = i - 1; while (comparator(&tmp, &items[j])) { items[k] = items[j]; k = j; if (!j--) break; } items[k] = tmp; } return; } else { /* Shell sort. */ int g = n < 57 ? 2 : 0; for (; g < 6; ++g) { size_t gap = kBrotliShellGaps[g]; size_t i; for (i = gap; i < n; ++i) { size_t j = i; HuffmanTree tmp = items[i]; for (; j >= gap && comparator(&tmp, &items[j - gap]); j -= gap) { items[j] = items[j - gap]; } items[j] = tmp; } } } } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_ENTROPY_ENCODE_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/metablock.h0000644000175000017500000000765414606651213017634 0ustar timtim/* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Algorithms for distributing the literals and commands of a metablock between block types and contexts. */ #ifndef BROTLI_ENC_METABLOCK_H_ #define BROTLI_ENC_METABLOCK_H_ #include #include "../common/context.h" #include "../common/platform.h" #include "block_splitter.h" #include "command.h" #include "histogram.h" #include "memory.h" #include "quality.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif typedef struct MetaBlockSplit { BlockSplit literal_split; BlockSplit command_split; BlockSplit distance_split; uint32_t* literal_context_map; size_t literal_context_map_size; uint32_t* distance_context_map; size_t distance_context_map_size; HistogramLiteral* literal_histograms; size_t literal_histograms_size; HistogramCommand* command_histograms; size_t command_histograms_size; HistogramDistance* distance_histograms; size_t distance_histograms_size; } MetaBlockSplit; static BROTLI_INLINE void InitMetaBlockSplit(MetaBlockSplit* mb) { BrotliInitBlockSplit(&mb->literal_split); BrotliInitBlockSplit(&mb->command_split); BrotliInitBlockSplit(&mb->distance_split); mb->literal_context_map = 0; mb->literal_context_map_size = 0; mb->distance_context_map = 0; mb->distance_context_map_size = 0; mb->literal_histograms = 0; mb->literal_histograms_size = 0; mb->command_histograms = 0; mb->command_histograms_size = 0; mb->distance_histograms = 0; mb->distance_histograms_size = 0; } static BROTLI_INLINE void DestroyMetaBlockSplit( MemoryManager* m, MetaBlockSplit* mb) { BrotliDestroyBlockSplit(m, &mb->literal_split); BrotliDestroyBlockSplit(m, &mb->command_split); BrotliDestroyBlockSplit(m, &mb->distance_split); BROTLI_FREE(m, mb->literal_context_map); BROTLI_FREE(m, mb->distance_context_map); BROTLI_FREE(m, mb->literal_histograms); BROTLI_FREE(m, mb->command_histograms); BROTLI_FREE(m, mb->distance_histograms); } /* Uses the slow shortest-path block splitter and does context clustering. The distance parameters are dynamically selected based on the commands which get recomputed under the new distance parameters. The new distance parameters are stored into *params. */ BROTLI_INTERNAL void BrotliBuildMetaBlock(MemoryManager* m, const uint8_t* ringbuffer, const size_t pos, const size_t mask, BrotliEncoderParams* params, uint8_t prev_byte, uint8_t prev_byte2, Command* cmds, size_t num_commands, ContextType literal_context_mode, MetaBlockSplit* mb); /* Uses a fast greedy block splitter that tries to merge current block with the last or the second last block and uses a static context clustering which is the same for all block types. */ BROTLI_INTERNAL void BrotliBuildMetaBlockGreedy( MemoryManager* m, const uint8_t* ringbuffer, size_t pos, size_t mask, uint8_t prev_byte, uint8_t prev_byte2, ContextLut literal_context_lut, size_t num_contexts, const uint32_t* static_context_map, const Command* commands, size_t n_commands, MetaBlockSplit* mb); BROTLI_INTERNAL void BrotliOptimizeHistograms(uint32_t num_distance_codes, MetaBlockSplit* mb); BROTLI_INTERNAL void BrotliInitDistanceParams(BrotliDistanceParams* params, uint32_t npostfix, uint32_t ndirect, BROTLI_BOOL large_window); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_METABLOCK_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/command.c0000644000175000017500000000177314606651213017300 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ #include "command.h" #include #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif const uint32_t kBrotliInsBase[BROTLI_NUM_INS_COPY_CODES] = { 0, 1, 2, 3, 4, 5, 6, 8, 10, 14, 18, 26, 34, 50, 66, 98, 130, 194, 322, 578, 1090, 2114, 6210, 22594}; const uint32_t kBrotliInsExtra[BROTLI_NUM_INS_COPY_CODES] = { 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 10, 12, 14, 24}; const uint32_t kBrotliCopyBase[BROTLI_NUM_INS_COPY_CODES] = { 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 18, 22, 30, 38, 54, 70, 102, 134, 198, 326, 582, 1094, 2118}; const uint32_t kBrotliCopyExtra[BROTLI_NUM_INS_COPY_CODES] = { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 10, 24}; #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/hash_to_binary_tree_inc.h0000644000175000017500000003143114606651213022522 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2016 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: FN, BUCKET_BITS, MAX_TREE_COMP_LENGTH, MAX_TREE_SEARCH_DEPTH */ /* A (forgetful) hash table where each hash bucket contains a binary tree of sequences whose first 4 bytes share the same hash code. Each sequence is MAX_TREE_COMP_LENGTH long and is identified by its starting position in the input data. The binary tree is sorted by the lexicographic order of the sequences, and it is also a max-heap with respect to the starting positions. */ #define HashToBinaryTree HASHER() #define BUCKET_SIZE (1 << BUCKET_BITS) static BROTLI_INLINE size_t FN(HashTypeLength)(void) { return 4; } static BROTLI_INLINE size_t FN(StoreLookahead)(void) { return MAX_TREE_COMP_LENGTH; } static uint32_t FN(HashBytes)(const uint8_t* BROTLI_RESTRICT data) { uint32_t h = BROTLI_UNALIGNED_LOAD32LE(data) * kHashMul32; /* The higher bits contain more mixture from the multiplication, so we take our results from there. */ return h >> (32 - BUCKET_BITS); } typedef struct HashToBinaryTree { /* The window size minus 1 */ size_t window_mask_; /* Hash table that maps the 4-byte hashes of the sequence to the last position where this hash was found, which is the root of the binary tree of sequences that share this hash bucket. */ uint32_t* buckets_; /* uint32_t[BUCKET_SIZE]; */ /* A position used to mark a non-existent sequence, i.e. a tree is empty if its root is at invalid_pos_ and a node is a leaf if both its children are at invalid_pos_. */ uint32_t invalid_pos_; /* --- Dynamic size members --- */ /* The union of the binary trees of each hash bucket. The root of the tree corresponding to a hash is a sequence starting at buckets_[hash] and the left and right children of a sequence starting at pos are forest_[2 * pos] and forest_[2 * pos + 1]. */ uint32_t* forest_; /* uint32_t[2 * num_nodes] */ } HashToBinaryTree; static void FN(Initialize)( HasherCommon* common, HashToBinaryTree* BROTLI_RESTRICT self, const BrotliEncoderParams* params) { self->buckets_ = (uint32_t*)common->extra[0]; self->forest_ = (uint32_t*)common->extra[1]; self->window_mask_ = (1u << params->lgwin) - 1u; self->invalid_pos_ = (uint32_t)(0 - self->window_mask_); } static void FN(Prepare) (HashToBinaryTree* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, size_t input_size, const uint8_t* BROTLI_RESTRICT data) { uint32_t invalid_pos = self->invalid_pos_; uint32_t i; uint32_t* BROTLI_RESTRICT buckets = self->buckets_; BROTLI_UNUSED(data); BROTLI_UNUSED(one_shot); BROTLI_UNUSED(input_size); for (i = 0; i < BUCKET_SIZE; i++) { buckets[i] = invalid_pos; } } static BROTLI_INLINE void FN(HashMemAllocInBytes)( const BrotliEncoderParams* params, BROTLI_BOOL one_shot, size_t input_size, size_t* alloc_size) { size_t num_nodes = (size_t)1 << params->lgwin; if (one_shot && input_size < num_nodes) { num_nodes = input_size; } alloc_size[0] = sizeof(uint32_t) * BUCKET_SIZE; alloc_size[1] = 2 * sizeof(uint32_t) * num_nodes; } static BROTLI_INLINE size_t FN(LeftChildIndex)( HashToBinaryTree* BROTLI_RESTRICT self, const size_t pos) { return 2 * (pos & self->window_mask_); } static BROTLI_INLINE size_t FN(RightChildIndex)( HashToBinaryTree* BROTLI_RESTRICT self, const size_t pos) { return 2 * (pos & self->window_mask_) + 1; } /* Stores the hash of the next 4 bytes and in a single tree-traversal, the hash bucket's binary tree is searched for matches and is re-rooted at the current position. If less than MAX_TREE_COMP_LENGTH data is available, the hash bucket of the current position is searched for matches, but the state of the hash table is not changed, since we can not know the final sorting order of the current (incomplete) sequence. This function must be called with increasing cur_ix positions. */ static BROTLI_INLINE BackwardMatch* FN(StoreAndFindMatches)( HashToBinaryTree* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t cur_ix, const size_t ring_buffer_mask, const size_t max_length, const size_t max_backward, size_t* const BROTLI_RESTRICT best_len, BackwardMatch* BROTLI_RESTRICT matches) { const size_t cur_ix_masked = cur_ix & ring_buffer_mask; const size_t max_comp_len = BROTLI_MIN(size_t, max_length, MAX_TREE_COMP_LENGTH); const BROTLI_BOOL should_reroot_tree = TO_BROTLI_BOOL(max_length >= MAX_TREE_COMP_LENGTH); const uint32_t key = FN(HashBytes)(&data[cur_ix_masked]); uint32_t* BROTLI_RESTRICT buckets = self->buckets_; uint32_t* BROTLI_RESTRICT forest = self->forest_; size_t prev_ix = buckets[key]; /* The forest index of the rightmost node of the left subtree of the new root, updated as we traverse and re-root the tree of the hash bucket. */ size_t node_left = FN(LeftChildIndex)(self, cur_ix); /* The forest index of the leftmost node of the right subtree of the new root, updated as we traverse and re-root the tree of the hash bucket. */ size_t node_right = FN(RightChildIndex)(self, cur_ix); /* The match length of the rightmost node of the left subtree of the new root, updated as we traverse and re-root the tree of the hash bucket. */ size_t best_len_left = 0; /* The match length of the leftmost node of the right subtree of the new root, updated as we traverse and re-root the tree of the hash bucket. */ size_t best_len_right = 0; size_t depth_remaining; if (should_reroot_tree) { buckets[key] = (uint32_t)cur_ix; } for (depth_remaining = MAX_TREE_SEARCH_DEPTH; ; --depth_remaining) { const size_t backward = cur_ix - prev_ix; const size_t prev_ix_masked = prev_ix & ring_buffer_mask; if (backward == 0 || backward > max_backward || depth_remaining == 0) { if (should_reroot_tree) { forest[node_left] = self->invalid_pos_; forest[node_right] = self->invalid_pos_; } break; } { const size_t cur_len = BROTLI_MIN(size_t, best_len_left, best_len_right); size_t len; BROTLI_DCHECK(cur_len <= MAX_TREE_COMP_LENGTH); len = cur_len + FindMatchLengthWithLimit(&data[cur_ix_masked + cur_len], &data[prev_ix_masked + cur_len], max_length - cur_len); BROTLI_DCHECK( 0 == memcmp(&data[cur_ix_masked], &data[prev_ix_masked], len)); if (matches && len > *best_len) { *best_len = len; InitBackwardMatch(matches++, backward, len); } if (len >= max_comp_len) { if (should_reroot_tree) { forest[node_left] = forest[FN(LeftChildIndex)(self, prev_ix)]; forest[node_right] = forest[FN(RightChildIndex)(self, prev_ix)]; } break; } if (data[cur_ix_masked + len] > data[prev_ix_masked + len]) { best_len_left = len; if (should_reroot_tree) { forest[node_left] = (uint32_t)prev_ix; } node_left = FN(RightChildIndex)(self, prev_ix); prev_ix = forest[node_left]; } else { best_len_right = len; if (should_reroot_tree) { forest[node_right] = (uint32_t)prev_ix; } node_right = FN(LeftChildIndex)(self, prev_ix); prev_ix = forest[node_right]; } } } return matches; } /* Finds all backward matches of &data[cur_ix & ring_buffer_mask] up to the length of max_length and stores the position cur_ix in the hash table. Sets *num_matches to the number of matches found, and stores the found matches in matches[0] to matches[*num_matches - 1]. The matches will be sorted by strictly increasing length and (non-strictly) increasing distance. */ static BROTLI_INLINE size_t FN(FindAllMatches)( HashToBinaryTree* BROTLI_RESTRICT self, const BrotliEncoderDictionary* dictionary, const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, const size_t cur_ix, const size_t max_length, const size_t max_backward, const size_t dictionary_distance, const BrotliEncoderParams* params, BackwardMatch* matches) { BackwardMatch* const orig_matches = matches; const size_t cur_ix_masked = cur_ix & ring_buffer_mask; size_t best_len = 1; const size_t short_match_max_backward = params->quality != HQ_ZOPFLIFICATION_QUALITY ? 16 : 64; size_t stop = cur_ix - short_match_max_backward; uint32_t dict_matches[BROTLI_MAX_STATIC_DICTIONARY_MATCH_LEN + 1]; size_t i; if (cur_ix < short_match_max_backward) { stop = 0; } for (i = cur_ix - 1; i > stop && best_len <= 2; --i) { size_t prev_ix = i; const size_t backward = cur_ix - prev_ix; if (BROTLI_PREDICT_FALSE(backward > max_backward)) { break; } prev_ix &= ring_buffer_mask; if (data[cur_ix_masked] != data[prev_ix] || data[cur_ix_masked + 1] != data[prev_ix + 1]) { continue; } { const size_t len = FindMatchLengthWithLimit(&data[prev_ix], &data[cur_ix_masked], max_length); if (len > best_len) { best_len = len; InitBackwardMatch(matches++, backward, len); } } } if (best_len < max_length) { matches = FN(StoreAndFindMatches)(self, data, cur_ix, ring_buffer_mask, max_length, max_backward, &best_len, matches); } for (i = 0; i <= BROTLI_MAX_STATIC_DICTIONARY_MATCH_LEN; ++i) { dict_matches[i] = kInvalidMatch; } { size_t minlen = BROTLI_MAX(size_t, 4, best_len + 1); if (BrotliFindAllStaticDictionaryMatches(dictionary, &data[cur_ix_masked], minlen, max_length, &dict_matches[0])) { size_t maxlen = BROTLI_MIN( size_t, BROTLI_MAX_STATIC_DICTIONARY_MATCH_LEN, max_length); size_t l; for (l = minlen; l <= maxlen; ++l) { uint32_t dict_id = dict_matches[l]; if (dict_id < kInvalidMatch) { size_t distance = dictionary_distance + (dict_id >> 5) + 1; if (distance <= params->dist.max_distance) { InitDictionaryBackwardMatch(matches++, distance, l, dict_id & 31); } } } } } return (size_t)(matches - orig_matches); } /* Stores the hash of the next 4 bytes and re-roots the binary tree at the current sequence, without returning any matches. REQUIRES: ix + MAX_TREE_COMP_LENGTH <= end-of-current-block */ static BROTLI_INLINE void FN(Store)(HashToBinaryTree* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix) { /* Maximum distance is window size - 16, see section 9.1. of the spec. */ const size_t max_backward = self->window_mask_ - BROTLI_WINDOW_GAP + 1; FN(StoreAndFindMatches)(self, data, ix, mask, MAX_TREE_COMP_LENGTH, max_backward, NULL, NULL); } static BROTLI_INLINE void FN(StoreRange)(HashToBinaryTree* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix_start, const size_t ix_end) { size_t i = ix_start; size_t j = ix_start; if (ix_start + 63 <= ix_end) { i = ix_end - 63; } if (ix_start + 512 <= i) { for (; j < i; j += 8) { FN(Store)(self, data, mask, j); } } for (; i < ix_end; ++i) { FN(Store)(self, data, mask, i); } } static BROTLI_INLINE void FN(StitchToPreviousBlock)( HashToBinaryTree* BROTLI_RESTRICT self, size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask) { if (num_bytes >= FN(HashTypeLength)() - 1 && position >= MAX_TREE_COMP_LENGTH) { /* Store the last `MAX_TREE_COMP_LENGTH - 1` positions in the hasher. These could not be calculated before, since they require knowledge of both the previous and the current block. */ const size_t i_start = position - MAX_TREE_COMP_LENGTH + 1; const size_t i_end = BROTLI_MIN(size_t, position, i_start + num_bytes); size_t i; for (i = i_start; i < i_end; ++i) { /* Maximum distance is window size - 16, see section 9.1. of the spec. Furthermore, we have to make sure that we don't look further back from the start of the next block than the window size, otherwise we could access already overwritten areas of the ring-buffer. */ const size_t max_backward = self->window_mask_ - BROTLI_MAX(size_t, BROTLI_WINDOW_GAP - 1, position - i); /* We know that i + MAX_TREE_COMP_LENGTH <= position + num_bytes, i.e. the end of the current block and that we have at least MAX_TREE_COMP_LENGTH tail in the ring-buffer. */ FN(StoreAndFindMatches)(self, ringbuffer, i, ringbuffer_mask, MAX_TREE_COMP_LENGTH, max_backward, NULL, NULL); } } } #undef BUCKET_SIZE #undef HashToBinaryTree IO-Compress-Brotli-0.019/brotli/c/enc/dictionary_hash.c0000644000175000017500000043732214606651213021035 0ustar timtim/* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Hash table on the 4-byte prefixes of static dictionary words. */ #include "../common/platform.h" #include "dictionary_hash.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* GENERATED CODE START */ BROTLI_INTERNAL const uint16_t kStaticDictionaryHashWords[32768] = { 1002,0,0,0,0,0,0,0,0,683,0,0,0,0,0,0,0,1265,0,0,0,0,0,1431,0,0,0,0,0,0,40,0,0,0, 0,155,8,741,0,624,0,0,0,0,0,0,0,0,0,0,0,0,66,503,0,0,0,451,0,0,0,0,0,0,0,835,70, 0,0,539,0,0,0,0,0,0,0,0,0,113,0,0,0,0,718,0,0,0,0,0,0,520,0,1070,0,0,0,0,0,1515, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,78,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,610,0,0,750,0,0,0,307,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,964,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,999,0,0,0,0,0,0,0,0, 645,75,0,649,52,282,0,200,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1621,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,211,225,0,0,687,718,0,0,110,0,58,0,0,0,0,0,0,345,0,0,301,0,0, 0,203,0,0,1154,674,1949,0,0,0,0,0,0,0,0,0,259,0,0,0,0,0,0,0,1275,0,0,0,1231,254, 0,0,0,0,0,0,0,277,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,0,0,800,0,0,0,29, 116,100,490,0,0,0,0,0,1641,0,543,0,0,0,0,41,181,0,657,0,0,202,25,0,0,0,0,0,0,0, 0,0,0,423,0,0,0,113,0,0,0,927,963,0,976,0,206,0,0,0,0,0,0,0,0,0,2002,0,0,0,0,0, 0,0,0,0,0,0,696,0,1170,0,0,0,0,226,13,0,769,678,551,0,0,0,0,0,0,57,0,0,0,10,188, 0,0,0,624,0,0,0,0,0,0,0,0,0,1941,130,0,0,0,0,378,269,0,0,528,0,1146,0,0,0,1105, 0,1616,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,656,0,1940,0,0,0,0,0,173,0,0,0,0,0,0,0,0,0, 0,0,457,342,810,0,0,0,0,620,0,0,0,0,0,0,0,967,95,447,406,0,0,0,477,0,1268,944, 1941,0,0,0,629,0,0,0,0,0,375,0,0,0,1636,0,0,0,0,774,0,1,1034,0,0,0,0,0,824,0,0, 0,0,0,118,0,0,560,296,0,0,0,0,0,0,0,0,1009,894,0,0,0,0,0,0,0,0,0,0,0,0,0,1474, 366,0,0,0,0,0,0,0,0,0,79,1723,0,0,200,0,0,0,0,0,0,0,0,1759,372,0,16,0,943,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,258,0,0,900,1839,707,30,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,2004,0,0,10,115,0,50,0,0,0,0,0,0,0,0,0,0,520,1,0,738,98,482,0,0,0,0, 0,0,0,0,0,0,701,2,0,0,0,0,0,0,0,0,557,0,0,0,0,0,0,0,0,0,347,0,0,0,0,572,0,0,0,0, 0,0,0,0,0,832,0,0,797,809,0,0,0,0,0,0,0,0,0,0,0,528,0,0,0,861,0,0,294,0,0,0,109, 0,0,0,0,0,0,0,0,1187,290,266,0,0,0,0,49,50,748,0,0,466,399,0,0,0,0,0,0,0,378,0, 519,0,0,0,0,0,0,0,0,0,0,0,0,667,351,902,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,180, 0,0,869,0,0,0,0,0,0,0,260,0,0,0,0,0,0,0,0,0,0,523,36,0,0,587,510,809,29,260,0,0, 0,0,0,0,0,0,570,0,565,0,1464,0,0,0,0,0,0,10,0,0,787,399,380,200,0,0,0,0,516,0, 844,887,0,0,0,0,0,0,0,44,0,0,0,305,1655,0,0,0,0,0,0,0,0,0,0,0,0,0,0,786,10,0,0, 0,0,0,0,0,0,0,2031,0,0,0,0,0,684,0,0,0,0,0,1480,0,0,0,27,0,0,0,395,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,813,511,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,56,0,0,0,206, 496,0,0,0,0,0,909,0,891,0,0,0,0,0,0,0,0,0,687,0,0,0,1342,0,0,0,0,0,0,0,0,0,0, 160,41,0,0,0,0,0,0,0,0,0,0,0,1718,778,0,0,0,0,0,0,0,0,0,0,1610,0,0,0,0,0,115,0, 0,0,0,314,294,0,0,0,983,178,193,0,0,0,0,0,0,0,0,0,174,0,0,0,0,0,0,0,0,0,0,848, 1796,0,0,0,0,0,0,221,0,687,1660,0,0,0,0,262,0,0,179,0,0,0,0,0,66,0,773,0,352,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,35,0,152,0,0,1197,0,0,0,0,0,0,0,0,0,0,0,0,560,0,0, 564,0,0,0,797,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,556,0,819,0,0,0,0,0,0,0,0,719,544, 637,5,0,0,0,0,0,0,0,0,0,0,0,101,0,1441,0,0,0,893,0,0,0,0,0,0,0,0,0,238,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,1296,0,0,969,1729,314,60,0,0,0,0,0,1144,0,1147,0,0,0,0,0, 0,0,0,0,0,437,1853,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,828,0,176,0,0,0,0,0,0,434,39,0, 0,0,0,0,159,0,0,0,902,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,270,0,0,0,0,801,556,0,0, 0,0,0,0,0,416,19,197,369,0,0,0,0,0,0,0,0,0,28,34,0,757,0,0,898,1553,0,721,0,0,0, 0,1012,0,0,0,0,1102,0,898,183,0,0,0,0,0,0,0,136,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,247,277,0,0,0,435,0,0,0,0,0,1311,0,0,0,0, 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0,0,0,0,0,0,0,1609,0,895,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,812,0,0,942,1916,0,0,0,0, 0,0,0,778,0,0,0,137,0,1314,0,0,0,0,0,0,0,1661,0,0,0,0,0,0,0,1591,0,0,0,0,0,0, 820,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,185,89,0,1160,230,6,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,63,29,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1740,0,0,177, 170,0,1961,0,0,0,0,0,0,0,0,0,0,0,0,91,0,17,44,0,0,0,0,0,0,0,0,0,270,0,296,0,0,0, 0,0,0,0,1523,0,0,0,0,0,0,0,0,0,0,757,7,0,0,0,0,0,0,0,0,0,0,530,588,0,0,0,0,0,0, 0,0,0,786,0,0,0,0,0,580,627,88,447,57,0,0,0,0,0,0,0,0,845,735,0,0,0,0,0,31,15,0, 460,521,12,424,0,0,0,1302,0,0,0,0,0,0,0,595,0,0,0,13,548,97,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1472,452,1767,0,0,0,0,0,0,0,0,0,0,115,0,0,0,0,0,0,1543,0,1111,0,0,0,0, 1,0,359,488,0,267,0,0,0,1983,0,0,0,0,0,0,0,1155,0,1575,0,1438,31,0,0,377,101,0, 0,0,0,0,0,0,0,0,0,0,0,0,476,0,0,0,0,0,0,0,0,2023,0,0,0,0,0,1836,0,0,0,0,35,843, 0,0,0,0,0,0,0,554,0,0,0,536,625,207,0,1371,0,0,0,424,785,336,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,896,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,27,750,0,0,0,0,238,0,0, 0,0,0,383,0,0,0,0,0,0,0,0,603,725,11,0,0,0,0,0,0,0,0,0,476,0,0,0,0,0,1552,0,0,0, 0,0,0,0,680,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,435,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 1431,0,0,13,112,0,0,356,0,0,0,0,0,0,0,0,0,0,1963,0,0,0,1244,18,0,0,0,0,0,0,867, 0,0,0,0,0,0,50,708,73,592,0,502,0,0,0,0,0,0,161,347,0,0,0,0,470,33,0,246,571,10, 0,465,614,0,237,0,0,0,0,0,24,18,0,506,0,0,0,0,0,0,33,309,0,0,0,0,0,0,0,0,0,0, 140,0,0,0,0,1056,0,0,0,1704,0,0,0,0,0,0,0,1036,0,0,0,0,0,0,0,0,0,1315,432,86, 264,524,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,107,0,0,0,0,0,123,927,0,0,957,1149,0,0, 0,0,0,778,0,502,196,0,0,0,0,1312,0,0,0,0,0,0,0,855,0,0,0,0,0,0,0,0,0,0,45,1400, 0,0,0,1003,0,0,0,0,0,1097,0,0,0,0,0,0,0,0,545,612,0,0,0,0,0,0,0,0,0,0,0,0,54,0, 0,0,0,172,0,0,0,1029,0,0,0,0,0,0,0,0,0,568,0,0,0,732,617,0,0,974,94,989,733,0,0, 0,0,0,0,1789,0,0,665,2015,0,0,0,0,0,0,806,287,0,0,0,0,0,1539,0,0,0,0,0,0,0,0,0, 0,182,1563,0,0,0,0,0,0,0,0,0,484,0,0,0,0,0,1623,0,0,0,0,0,0,0,0,878,1833,0,1569, 0,0,0,0,0,0,0,0,93,0,715,994,0,0,0,0,0,63,0,591,0,0,0,0,0,0,0,749,0,0,0,0,547, 366,0,0,0,1747,0,0,0,0,0,0,0,89,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1463,0,772, 893,0,0,0,48,0,0,941,0,0,690,1785,106,440,0,0,0,0,0,0,0,0,0,0,32,0,332,216,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,852,0, 0,416,564,0,918,0,1764,0,0,3,0,0,274,0,0,0,0,501,0,0,0,0,0,0,0,851,743,0,49,0, 879,0,0,47,0,0,0,0,0,0,865,0,1202,0,0,0,0,0,0,47,272,0,0,0,0,0,0,0,0,0,0,0,1455, 0,0,0,0,891,1911,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,761,0,0,0,0,0,0,0,0,0,407,0, 183,0,0,490,0,0,0,0,0,0,0,35,731,0,0,0,0,0,0,0,819,0,0,0,0,0,0,0,0,0,0,0,0,0, 575,0,0,0,0,45,818,0,0,77,222,0,0,0,0,849,1880,0,0,0,633,0,1308,0,0,0,0,0,0,0,0, 0,0,86,0,0,0,0,0,0,0,0,0,0,0,0,0,0,817,0,0,0,0,0,0,0,0,0,882,0,0,0,914,0,0,0,0, 0,0,0,0,0,0,865,0,0,426,399,58,0,0,0,0,0,0,538,102,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,876,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,139,566,0,63,12,0,0,0, 0,0,0,0,0,0,0,0,0,0,3,114,0,0,0,0,0,0,0,0,576,0,0,0,0,0,0,0,0,933,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,692,0,0,0,0,0,0,0,0,0,0,0,0,752,0,0,0,0, 0,0,0,0,375,0,1011,0,0,96,0,0,0,0,0,0,0,0,0,148,0,0,0,0,0,0,0,0,0,0,0,337,56, 666,0,246,394,0,0,0,0,0,0,0,0,437,0,0,0,506,0,0,0,0,1003,0,1163,0,328,0,0,0,0,0, 0,0,0,1000,0,0,0,0,0,744,101,0,0,0,0,0,726,0,0,176,0,146,9,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,839,0,0,0,0,0,0,223,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,246,1931,29,0,0,1771,0,0,0,0,0,846,6,157,0,0,0,0,0,0,0,0,0,875,0,0,477, 773,177,639,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1747,0,0,0,0,158,873,0,659,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,391,0,0,0,0,0,0,0,0,0,0,0,0,668,883,0,78,628,0,0,0, 0,0,0,0,0,0,0,0,0,1460,0,962,0,0,0,0,0,460,0,0,0,0,0,0,0,0,0,0,0,0,0,0,34,199,0, 0,0,388,474,0,271,0,333,608,0,0,0,0,0,0,49,0,988,0,707,617,0,0,0,0,0,0,0,756,0, 0,0,0,0,1583,0,0,0,0,0,0,0,0,0,0,285,0,0,0,0,0,0,0,0,0,0,0,0,0,0,344,0,0,0,0,0, 0,0,0,515,1709,0,0,0,0,0,0,0,0,404,0,0,0,0,500,0,0,0,0,0,0,0,0,0,68,216,0,0,0,0, 0,0,0,488,353,0,0,177,236,0,0,458,490,0,0,0,0,0,0,756,1504,0,757,0,1735,0,0,108, 598,0,0,0,0}; BROTLI_INTERNAL const uint8_t kStaticDictionaryHashLengths[32768] = { 8,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,0,0,0,12,0,0,0,0,4,22,5,0, 4,0,0,0,0,0,0,0,0,0,0,0,0,14,6,0,0,0,5,0,0,0,0,0,0,0,7,13,0,0,4,0,0,0,0,0,0,0,0, 0,6,0,0,0,0,8,0,0,0,0,0,0,7,0,7,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,4,0,0,0,4, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,10,4,0,5,13,7,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,0,0,8,7,0,0,9,0,8,0,0,0,0,0,0,6,0, 0,9,0,0,0,11,0,0,6,8,7,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,7,0,0,0,6,8,0,0,0,0,0, 0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,9,0,0,0,8,4,13,7,0,0,0,0,0, 7,0,5,0,0,0,0,8,5,0,5,0,0,8,7,0,0,0,0,0,0,0,0,0,0,9,0,0,0,8,0,0,0,10,4,0,5,0,4, 0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,0,0,0,8,7,0,4,9,4,0,0,0,0,0,0, 9,0,0,0,8,5,0,0,0,6,0,0,0,0,0,0,0,0,0,7,18,0,0,0,0,4,9,0,0,4,0,6,0,0,0,6,0,6,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,5,8,7,0,0,0, 0,9,0,0,0,0,0,0,0,8,6,10,6,0,0,0,4,0,6,8,6,0,0,0,4,0,0,0,0,0,5,0,0,0,6,0,0,0,0, 10,0,12,7,0,0,0,0,0,4,0,0,0,0,0,5,0,0,8,7,0,0,0,0,0,0,0,0,9,5,0,0,0,0,0,0,0,0,0, 0,0,0,0,6,11,0,0,0,0,0,0,0,0,0,8,7,0,0,10,0,0,0,0,0,0,0,0,6,10,0,17,0,8,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,8,6,9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 7,0,0,11,4,0,5,0,0,0,0,0,0,0,0,0,0,10,5,0,6,8,5,0,0,0,0,0,0,0,0,0,0,11,5,0,0,0, 0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,9,0,0,0,0,5,0,0,0,0,0,0,0,0,0,6,0,0,8,7,0,0,0,0,0, 0,0,0,0,0,0,5,0,0,0,6,0,0,10,0,0,0,20,0,0,0,0,0,0,0,0,6,9,5,0,0,0,0,10,4,8,0,0, 4,13,0,0,0,0,0,0,0,9,0,9,0,0,0,0,0,0,0,0,0,0,0,0,4,8,6,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,12,0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,12,5,0,0,10,4,10,7,13, 0,0,0,0,0,0,0,0,6,0,6,0,6,0,0,0,0,0,0,19,0,0,4,12,6,9,0,0,0,0,4,0,4,11,0,0,0,0, 0,0,0,12,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,4,0,0,0,0,0,0,0,0,0,6,0,0,0,0, 0,5,0,0,0,0,0,6,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,8,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,9,6,0,0,0,0,0,4,0,4,0,0,0,0,0,0,0,0,0,4,0,0,0, 6,0,0,0,0,0,0,0,0,0,0,13,6,0,0,0,0,0,0,0,0,0,0,0,6,8,0,0,0,0,0,0,0,0,0,0,6,0,0, 0,0,0,5,0,0,0,0,14,4,0,0,0,4,12,5,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,8,6,0, 0,0,0,0,0,12,0,9,6,0,0,0,0,13,0,0,5,0,0,0,0,0,4,0,6,0,7,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,13,0,9,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,5,0,0,0,6,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,8,7,8,4,0,0,0,0,0,0,0,0,0,0,0,7,0,7,0,0,0,4,0, 0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,8,6,8,4,0,0,0,0,0,6,0,7,0, 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4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,4,0,0,0,0,8, 6,0,0,0,0,0,0,9,6,0,0,0,0,0,4,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,0,0,0, 0,6,0,6,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,6,0,6,0,0,10,6,0,0,0,7,0,0,8,0,8,7,0, 0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,9,0,0,0,0,6,0,0,0,0,0,0,0,5,0,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,0, 0,0,0,8,7,0,0,0,0,0,0,0,0,12,0,12,0,0,0,11,6,0,5,0,0,12,0,12,5,0,7,11,6,0,0,11, 0,0,0,12,0,0,4,12,7,8,6,0,0,0,0,8,5,0,0,0,0,0,0,0,4,11,0,0,6,0,7,0,0,0,0,0,0,0, 5,0,6,0,0,0,0,8,0,10,0,0,0,0,0,0,0,0,0,0,0,9,7,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0, 0,0,0,0,0,0,0,0,0,11,7,0,0,0,0,0,0,10,0,0,5,0,0,12,6,0,0,0,0,0,0,10,6,0,0,0,0,8, 6,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,5,0,0,0,0,11,0,10,6,0,0,8,6,0,0,0,6,0,7,10,6,0, 0,0,7,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,10,7,0,0,0,0, 10,6,0,0,0,0,0,0,8,5,11,0,8,4,0,0,0,4,0,0,0,0,9,4,8,0,0,0,0,0,0,0,11,6,0,0,0,0, 10,7,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,7,0,0,0,0,9,6,0,5,0,7,0,0,0,0,0,7,0,0,11,0,0, 0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6, 0,0,0,0,13,0,8,6,13,0,0,0,11,7,0,7,0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,9,6,0,0,0,0,0,0,0,0,0,6,0,0,9,6,0,6,0,0,0,0,0,5,0,0,0,0,0,0,0,0, 0,0,0,0,0,5,9,0,0,0,0,0,0,0,0,0,0,4,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,9,7,0,7,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0, 5,11,5,0,0,0,0,0,0,0,0,0,4,0,7,0,6,0,0,0,6,20,0,0,0,10,7,0,5,14,4,0,0,0,0,0,0,0, 0,0,6,0,0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0, 0,0,6,0,4,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,9,7,0,0,11,6,15,0,0,0,0,0, 10,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,7,0,0,0,0,0,0,0,0,9,7,13,0,0,0,0,0, 0,7,0,0,8,6,0,0,0,0,0,0,0,0,9,4,0,0,0,0,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,5,0,0,0,0,0,0,0,0,0,0,0,0,8,5,0,4,0,0,0,0,0,0,0,0,0,0,12,6,8,0,12,0,0,7,0,0,0, 0,0,5,10,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7, 14,0,0,0,0,0,0,0,0,0,0,0,0,5,0,5,8,7,10,7,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,6,18,6, 14,7,0,0,0,0,0,0,0,0,11,6,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,0,11,7,0,0,10,7,0,0,0,6,8,6,0,0,0,0,0,0,0,6,0,0, 19,0,0,0,9,5,0,0,0,0,0,0,11,7,0,0,0,7,0,6,0,0,11,0,0,0,0,4,8,0,0,0,0,0,0,0,0,6, 0,0,0,0,0,6,0,0,8,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,7, 0,7,0,0,0,7,15,0,0,5,0,0,0,0,10,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,7,0,0, 0,0,0,0,0,0,9,6,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 11,7,0,0,0,0,0,0,0,6,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0, 0,0,5,0,4,0,0,0,4,0,4,0,0,0,0,0,0,0,0,0,6,0,0,0,0,11,6,0,0,8,5,14,0,0,4,0,0,0,7, 17,0,0,0,0,0,0,0,13,5,0,0,0,0,0,5,0,0,0,5,0,0,0,0,16,6,0,4,0,0,0,0,0,0,12,0,0,0, 0,0,0,6,0,0,0,0,0,0,0,0,0,0,12,5,0,5,0,6,10,0,12,0,0,0,0,0,0,0,0,7,0,0,0,0,8,4, 0,0,0,0,0,0,0,0,0,0,8,7,0,0,8,0,0,0,8,0,0,6,0,7,0,0,0,5,0,6,0,4,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,0,0,22,0,0,0,0,0,0,0,0,7,0,0,0,0,0,6,0,0,0, 0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,18,0,0,0,9,4,0,0,8,0,9,7,0,0,0,0,0,0,8,6,0,0,0,0, 0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,9,7,0,0,0,6,0,0,14,0,0,0,0, 0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,7,10,4, 0,6,0,0,0,0,0,0,8,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,9,6,0,0,0,0,0,0, 0,0,11,6,12,7,0,0,0,0,0,0,0,6,0,5,0,0,0,0,0,0,9,6,11,6,0,0,0,0,9,5,0,0,0,0,0,0, 0,6,8,5,0,0,0,0,8,0,10,0,0,0,0,0,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9, 5,10,7,0,0,0,5,8,7,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,4,8,7,0,0,0,6,0,0, 0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,7,0,6,0,0,0,0,0,0,0,0,0,0,0,0,22, 0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,5,0,0,0,0,0,0,0, 0,0,0,0,0,17,0,0,6,0,6,12,4,19,6,0,0,0,0,16,0,0,0,0,7,15,7,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,4,10,4,0,0,8,7,0,7,0,0,9, 4,0,6,0,0,0,4,0,5,0,0,0,7,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,7,10,0,0,0,0,0,11,7,0,0, 0,0,12,6,0,0,0,0,0,0,0,6,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8, 0,0,0,0,0,0,0,0,0,10,4,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,8,7,0,0, 0,0,0,0,0,6,0,0,0,4,0,0,11,4,0,0,12,7,0,0,0,0,9,0,0,6,0,0,0,0,0,0,0,0,0,5,0,0,0, 4,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,6,0,0,0,0,0,0,9,4,0,6,0,0,0,0,0,4, 0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,6,0,0,0,5,0,0,0,0,0,0,0,0,0,7,9,6,0,7,0, 0,0,0,0,0,0,6,0,0,0,0,8,6,0,0,0,0,10,6,11,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,5, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,5,0,4,8,0,0,0,0,0,9,7,0,0,0,0,0,0, 13,5,0,0,0,0,8,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,8,5,0,0,11,7,0,0,0,0,0,0,8,6,0, 0,0,0,0,7,0,4,0,0,0,0,0,0,0,5,0,6,0,5,0,0,0,0,0,0,0,0,0,0,0,0,10,4,9,0,0,0,0,0, 0,4,0,0,0,0,10,5,10,7,0,0,0,0,0,0,0,0,16,7,0,0,0,0,0,7,0,0,0,0,11,0,0,0,0,0,0,0, 0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,5,0,4,0,0,0,7,0,0,0,0,0,0,13,0,0, 0,0,0,0,0,0,0,0,7,0,4,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,13,7,0,7,0,4,16,0,0,0,0,6,8,7,9,7,0,0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,0,0, 0,6,0,0,8,5,0,4,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,5,11,7,0,0,11, 0,0,0,0,0,9,5,0,4,0,0,0,0,9,7,8,6,0,0,0,0,0,0,10,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0, 0,7,0,0,0,0,0,0,0,0,0,0,0,4,10,6,0,7,0,0,0,0,0,0,0,5,0,0,0,0,0,0,10,7,10,0,0,0, 0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,7,0,6,8,7,12,4,0,0,0,0,0,0,0,5,14, 0,0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0, 6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,4,0,0,20,4,0,0,0,7,0,6,0,0,0,0,0,0,0,0,8,0, 0,6,15,0,0,6,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,12,0,0,0,9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,5,0,0,0,0,0,0,8,6,0,0,18,0,0,0,10,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,9,6,0, 6,0,0,0,0,0,0,0,0,9,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,7,0,0,0,0,9,0,9,0,0,4, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,9,5,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,10,0,0,0,0,7,0,0,0,0,0,0,0,0,0,7,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,8,0,8,0,0,0,16,0,0,0,0,0,0,0, 0,0,0,6,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,8,0,0,0,11,0,0,0,0,0,0,0,0,0,0, 6,0,0,0,0,11,0,0,0,9,7,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,7,0,7,0,6, 0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,6, 0,0,0,0,0,0,0,6,0,0,18,0,8,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,7,0,4,0,0,0, 0,0,0,0,0,0,0,8,0,0,0,0,0,16,0,0,0,0,0,16,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,18,0,0,0,0,0,0,0,0,0,9,7,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,6,0,4,0, 0,0,0,0,0,0,0,9,4,0,0,0,0,12,5,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,12,5,0,0,0,0,0,0,0,5,0,0,10,6,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,9,0,0,0,11,0,0,6,0,6,0,0, 0,7,0,0,0,0,0,0,8,0,0,0,0,6,0,0,0,0,0,0,19,0,0,0,12,0,9,0,0,0,0,0,10,7,0,0,0,0, 0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,16,7,12, 0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,12,6,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,10,5,0,0,0,0,0,0,0,4,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,7,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,4,0,0,0,0,0,0,0,4,0,0,9,0,0,0,8,0,12,4,0,0,0,0, 0,4,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,12,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,5,0, 0,0,0,0,0,13,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,8,6,0,6,0,0,0,0,0,0, 0,4,0,0,0,0,0,6,0,0,9,0,0,0,0,0,0,6,0,0,0,0,0,0,11,0,0,0,0,0,0,0,10,6,0,0,0,0,8, 6,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,7,0,0,0,0,0,7,0,6, 10,7,0,0,10,5,11,6,0,0,0,0,0,7,16,0,0,0,0,6,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,5,0,0,0,7,9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,0,0,0, 0,0,0,0,0,8,7,0,0,0,0,11,6,0,0,0,0,0,0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 8,7,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,12,7,0,7,0,0,0, 0,0,0,0,6,0,0,0,0,9,0,0,0,23,0,0,0,0,0,10,5,0,0,0,0,0,0,0,0,0,4,0,0,11,7,10,0,0, 0,0,0,0,0,0,0,0,0,0,6,0,0,8,7,0,7,0,0,8,7,8,0,0,0,0,0,0,0,0,0,0,0,14,5,0,0,0,0, 0,0,0,0,18,6,8,7,0,0,0,0,0,0,0,4,0,0,0,0,0,0,11,0,0,0,9,7,12,6,0,0,0,0,0,0,0,0, 0,0,12,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,0,0,0,7,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,6,8,7,0,0,0,6,10,0,0,0,9,0,0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,6, 10,7,0,0,0,7,0,0,8,4,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,19,0,0,0,0,0,0, 0,0,0,8,7,8,6,0,0,11,7,10,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,4,8,7,0,0,0,0,0,0,0,0, 0,5,0,0,13,0,0,0,0,5,0,0,9,7,0,0,0,0,0,0,0,4,0,0,11,0,0,7,0,0,0,0,0,0,0,0,0,6,0, 0,0,0,0,0,12,7,19,0,8,6,0,0,0,0,0,6,0,0,0,0,0,0,0,0,10,6,8,0,0,0,0,0,0,0,0,0,0, 6,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,7,0,0,12,0,0,0,0,6,9,6, 14,0,0,0,0,0,0,6,0,5,0,0,8,7,0,0,0,6,0,4,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,4,0,6,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,5,0, 7,0,0,10,0,9,7,0,6,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,12,6,0,0,0,0,0,5,0,6,0,0,0,0, 0,0,0,0,0,0,0,6,0,0,0,0,9,7,0,0,0,0,0,0,11,6,0,0,0,0,0,0,0,0,0,0,11,7,0,0,13,7, 0,0,0,0,0,0,0,0,12,0,0,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,6,11,5,0,5,13,0,8,0, 0,0,0,6,0,0,0,0,0,0,11,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,11,5, 9,6,0,0,0,4,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,10,0,0,0,8,5,0,0,9,0,0,0,8,7,9,0,0,0,0,0,0,0,0,7,0,6,0,0,0,0,0,0,0,0,0, 0,11,0,13,6,0,0,9,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0, 0,0,0,0,0,5,21,6,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,5,0,0,0,0,0,0,0,0,10,0,8,0, 0,6,0,0,0,4,0,0,9,0,0,0,0,0,0,0,0,0,0,4,0,0,8,6,0,6,0,7,10,0,8,4,0,4,0,0,0,0,0, 5,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,6,12,0,0,7,0,0,0,5,0,0, 0,0,0,0,0,0,0,6,0,0,8,6,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 15,7,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,6,0,0,24,7,0,0,0,0,0,0,0,0,0, 7,0,0,0,0,0,0,0,0,0,0,9,6,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,6,0, 0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,4,12,0,0,7,0,0,0,0,0,5,0,0,0,0,0,0,0,0,15,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,8,0,0,0, 0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,9,0,9,6, 0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,8,4,0,7,0,0,0,0,0,0,0,0, 22,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,4,0,7,0,0,21,7,0,7,9,6,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,8,0,0,6, 0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,8,7,0,0,0,0,23,0,0,0,0,7,0,0,0, 4,0,0,0,0,0,0,0,0,9,4,11,7,0,5,0,0,0,0,11,0,0,4,20,0,0,0,0,0,0,0,0,0,0,0,11,5,0, 7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 21,0,0,0,0,0,0,7,0,0,0,0,0,0,0,5,0,0,0,0,0,6,0,0,0,0,11,6,0,0,0,0,0,0,0,0,9,6,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,5,0,4,9,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0, 0,0,0,10,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,8,7,0,0,11,7,0,0,0,0,0,0,0,4, 0,4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,0,0,0,5,0,0,0,0,0,0,0,0,0,0,8,7,0, 0,0,0,0,0,0,0,0,6,0,0,21,6,0,0,0,0,0,6,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,14,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,9,6,0,0,8,0,0,7,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0, 0,0,0,8,7,0,0,11,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,5,0,0,0,7,13,7,10,4,0, 0,0,6,0,0,0,0,0,0,0,0,0,5,10,0,0,0,0,0,0,5,0,0,0,7,0,0,0,0,0,0,8,4,0,0,0,0,0,6, 0,0,0,0,0,0,0,0,0,0,12,7,0,6,0,0,10,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,6,0, 0,0,0,0,7,0,0,8,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,10,5,0,6,0,0,0,0,0,4,0,0,0,0, 0,0,0,0,0,4,0,0,0,0,9,0,11,4,0,0,0,6,0,0,0,5,12,7,0,5,0,0,0,0,0,4,0,0,0,7,0,0,0, 0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,13,6,10,0,0,0,17,0,0,4,0,0,0,0,0,6,0,4,0,5,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,11,7,0,0,0,7,0,0,0,6,0,0,0,0,0,0, 0,6,0,4,0,0,0,0,8,0,0,0,0,5,0,0,0,0,0,4,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,9,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,5,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,12,0,0, 0,0,7,0,0,0,0,0,0,0,0,0,0,0,7,0,0,16,4,0,0,11,0,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 8,7,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,8,6,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10, 7,0,0,0,0,0,0,9,0,0,0,0,0,0,0,12,5,10,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,5,0, 5,18,7,0,0,14,0,0,0,0,0,0,0,9,4,0,7,0,0,0,0,0,0,0,5,0,0,0,6,0,0,0,6,0,0,0,0,0,0, 8,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,5,0,0,0,7,0,0,0,0,0,0,11,0,0,0, 10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,14,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 11,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,14,6,0,0,0,0,11,4,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,10,7,0,6,0,0,9,0,9,5,0,0,0,0,0, 0,0,0,10,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,0,0,8,5,0,0,0,0,0,0,0,0,0,0,11,4,0,6, 0,6,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,12,4,0,6,8,6,0,0,0,0,0,0,0,0,0,0,8,0,0,5,0,0,0,0,0,0,0,7,0,0,13,0,0,0,0,0,0,0, 0,0,0,0,0,0,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,12,7,0,6,0,0,0, 0,0,0,0,0,0,0,0,0,13,4,0,7,0,0,0,7,0,7,0,0,0,0,0,0,0,0,10,4,0,0,0,0,0,0,0,0,0,0, 9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,10,6,21,5,0,0,0,0,8,0,0,0,0,4,0, 7,0,0,0,0,0,0,11,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,4,0,0,0,0,0,0, 0,7,9,6,11,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,7,10,0,0,0,0,0,0,6,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,19,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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0,0,10,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,13,4,0,0,10,0,0,0,0,0,0,0,0,0,19,0,0,0, 0,0,0,0,0,0,0,0,0,0,8,6,22,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0, 5,0,0,0,0,0,5,0,0,0,0,0,5,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 4,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,7,0,0,18,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,14,7,0,0,11,5,0,0,0,5,0,0,0,0,12,5,0,0,0,0,0,0,0,0,0,0,24,6,0,0, 0,7,0,4,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,7,0,4,0,0,0,0,8,7,0,0, 9,6,0,0,14,5,0,0,0,6,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,12,6,0,0,0,0,0,0,0,6,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,7,0,0,0,5,0,0, 0,0,12,7,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,6,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,6,0,0,13,7,0,0,0,0,0,0,14,0,11,4,0, 0,0,4,0,0,0,0,14,5,0,0,0,0,0,5,11,5,0,0,0,0,22,5,0,0,0,0,0,7,0,0,0,0,0,4,0,0,0, 4,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,0,0,17,0,10,0,0,0,8,0,0,0,19, 5,18,7,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,10,6,0,6,0,0,0,0,10,4,0,4,0, 0,0,0,0,0,14,7,0,5,0,0,0,0,0,6,0,0,0,0,0,0,0,0,8,0,9,6,12,0,0,6,0,0,0,0,0,0,0,0, 12,0,10,6,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,4,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,5,13,0,9,7,0,0,0,0,0,0,0,0,0,0,0,7,9,7,0,0,8,0,0,0,0,0, 22,0,0,0,0,0,0,0,23,6,14,0,0,0,0,0,0,7,0,0,0,0,11,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0, 0,0,10,0,0,6,0,0,0,0,0,0,0,0,0,6,0,0,8,5,0,0,0,0,0,0,0,0,0,7,11,6,21,0,0,0,0,0, 0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0, 0,0,0,0,0,0,0,4,9,7,0,0,0,0,0,0,12,0,0,0,0,7,0,0,0,0,0,0,0,0,10,4,0,0,0,0,0,0,9, 0,0,0,20,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,11,7,0,0,0,0,0,0,0,6,15,0,0, 0,0,0,0,0,0,0,0,0,0,0,12,4,0,5,0,0,0,0,0,0,11,7,17,6,0,0,0,0,0,0,15,6,0,7,0,0,0, 0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,6,0,5, 0,0,11,0,11,7,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0, 17,0,0,0,0,6,0,0,0,5,0,0,0,0,0,0,8,7,9,6,0,0,14,0,0,0,0,0,0,0,0,0,16,0,0,0,0,0, 8,7,0,4,0,0,0,0,0,0,0,6,0,5,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0, 0,0,0,5,0,4,0,0,8,7,0,6,12,5,0,7,18,7,0,0,8,5,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0, 10,0,11,0,0,0,0,0,0,0,0,0,0,0,9,0,0,4,0,6,0,7,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0, 7,0,0,0,0,8,0,0,0,15,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,0,0,0,0,0,0,0,0,0, 0,0,6,0,0,0,0,23,0,0,0,10,7,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,5,0,0,0,0,0,0,8,6,0,0, 0,0,0,0,12,7,9,7,0,0,10,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,9,0,8,7,0,0,0, 6,0,6,0,4,0,5,0,0,0,0,0,5,8,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,7,10,5,0,0,11,6,0,0,0,0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,4,9,7,0, 0,0,0,11,7,0,0,0,0,0,5,0,0,0,7,0,0,0,0,23,6,11,4,0,0,0,0,0,0,9,0,0,0,10,6,0,0,0, 0,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,6,0,0,10,6,0,0,0,7,0,0, 0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13, 6,11,7,0,0,0,0,0,0,0,0,0,0,0,0,10,5,0,0,0,6,0,0,0,5,0,6,0,6,0,0,0,0,0,0,0,0,0,0, 0,6,0,0,0,0,8,7,0,5,0,0,0,0,0,6,0,0,0,0,0,0,0,4,10,0,8,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,10,6,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,6,0,0, 0,0,0,0,0,0,10,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,11,6,0,4,0,0,14,5,0,7,0,0,0,0,0,6,16,0,0,0,0,0,0,0,10,0,0,7,15,0,0,0,11,7,0,0, 0,0,0,0,0,0,0,0,8,7,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,5,0,0,0, 0,8,0,0,6,0,0,0,0,0,0,9,5,0,0,23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,6,0, 0,0,0,0,0,0,7,0,0,0,0,15,7,0,0,0,0,8,0,0,0,14,0,0,0,0,0,0,0,16,7,0,0,0,0,0,7,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,12,6,11,7, 9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13, 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20,0,0,0,0,0,0,0,0,0,0,7,9,0,0,0,0,0,0,6,0,6,0,7,0,0,0,7,0,0,0,0,0,0,0,4,0,0,0, 0,0,0,14,7,0,0,0,5,0,0,22,4,10,0,0,0,0,0,0,4,8,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,11,5,13,0,0,0,0,0,0,0,0,0,8,0,0,7,0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,0,10,7,0, 0,0,0,0,0,0,6,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,7,0,7,14,6,0,0,0,0,9,5, 0,0,0,0,0,6,0,0,0,5,10,0,8,6,0,0,0,0,0,0,0,0,9,7,0,0,0,0,0,0,0,6,0,0,8,4,0,6,0, 0,0,5,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,7, 14,0,0,5,0,0,18,0,8,4,0,6,0,0,20,0,13,0,0,0,0,7,0,4,0,0,0,0,0,4,8,4,0,0,0,0,0,6, 0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,4,0,0,0,0,0,0,0,0,14,0,0,0,0,0,9,7,0,0,9,0,0,0,0, 0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,20,0,14,0,0,4,0,6,8,5,0,0,0,0,0,7,0,0,0,0,0,0, 0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,10,4,12,7,0,6,0,0,9,7,10,5, 0,0,8,6,0,4,0,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,18,0,0,0,14,7,0,0,0,0,0,4, 0,0,0,0,0,0,17,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,4,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0, 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4,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,6,16,7,10,6,0,0,23,6,11,7,0,4,0,0,0,0,0,0,0,0,0, 5,0,0,0,0,10,7,0,0,0,0,0,7,0,0,0,0,0,0,15,0,10,0,0,0,14,6,0,0,0,0,0,0,0,0,0,0,0, 5,0,0,0,0,0,0,0,5,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,5,0,0,11,5,0,0,0,0,0,0,0,0,0,0, 0,4,0,0,0,0,0,6,0,0,10,0,0,0,0,7,0,0,0,0,0,0,10,6,0,0,0,0,8,4,0,0,0,7,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,7,12,5,0,0,0,0, 0,6,0,0,0,0,9,6,0,0,0,0,0,0,0,6,9,0,0,0,0,6,0,0,0,0,8,7,0,0,0,0,0,0,0,6,0,0,0,0, 0,0,0,0,0,0,10,5,0,0,0,0,0,0,8,6,0,0,0,0,0,6,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,8,5,0,0,0,0,0,7,0,7,0,4,0,0,10,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,5,0,0,0,0,13, 7,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,7,0,0,13,0,0,0,0,0,0,0,0,7,10,5,0,0,0,0,0,0,9,7,0,0,8,6,9, 5,0,0,0,0,0,6,12,0,0,0,0,0,0,0,18,6,0,0,0,0,0,0,0,0,19,7,0,4,0,0,0,0,9,5,0,5,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,7,0,0,0,0,0,0,14,0,0,0,23,7,8,7,0,0,0,0, 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17,5,0,4,0,0,0,0,0,0,0,7,0,0,0,0,0,6,0,0,0,0,0,0,0,4,0,0,0,0,8,7,0,0,0,0,0,0,0, 0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,0, 10,0,0,0,8,6,0,0,0,7,0,0,0,0,0,0,8,0,0,0,14,0,0,0,0,7,0,0,0,4,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,9,4,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0, 10,0,0,0,16,5,0,0,0,0,0,0,8,0,0,4,0,0,0,0,0,0,0,0,0,0,9,6,0,0,0,0,0,0,10,0,0,0, 0,0,0,0,0,5,0,0,0,0,12,5,0,7,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,7,0, 0,0,0,0,0,0,0,12,6,0,0,0,0,0,7,0,6,0,6,12,6,0,0,0,0,0,0,0,4,8,7,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,10,6,8,0,0, 6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 16,0,8,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,23,5,0,0,0,7,0,6,0, 0,0,0,0,0,0,0,0,0,0,0,10,6,0,0,9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,14,0,0,0,0,7,0,0,0,4,17,5,0,0,0,0,11,0,9,0,0,0, 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0,0,4,0,0,0,0,0,4,0,0,0,0,0,0,0,6,0,6,0,5,0,0,0,0,8,0,0,0,10,7,0,0,0,0,10,0,0,0, 0,0,13,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,19,7,0,4,12,0,8,0,0,0,0,6,0,0,0,0, 0,0,0,6,0,0,0,0,0,0,0,0,0,4,0,0,0,0,18,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0, 0,14,0,0,4,0,0,0,6,0,0,0,6,0,0,0,7,0,0,0,0,0,0,10,4,0,0,9,7,0,0,11,0,0,0,0,0,0, 7,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,4,0,0,12,0,0,0, 0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,22,5,9,7,0,0,0,0,0,0,0,0,0, 0,0,6,0,0,9,6,0,5,0,0,0,0,0,0,10,5,0,0,8,6,0,6,10,5,0,0,0,6,0,0,0,6,0,0,20,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,6,0,0,0,0,17,4,0,7,0,6, 0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10, 0,0,0,0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,7,0,0,0,0,0,0,0, 0,0,7,0,0,8,6,12,0,0,7,18,7,0,0,8,4,0,0,0,0,9,6,0,0,0,0,0,0,0,0,13,0,0,6,0,0,0, 0,0,0,0,0,0,0,10,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,7,0,0, 0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,8,5,0,0,0,0,0,0,0,0,12,0,0,0,8,0,0,0,0,0,0, 4,0,0,10,0,16,0,0,0,0,0,0,0,12,7,10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,16,6,10,0,0,5,0,0,0,0,0,6,0,0,0,0, 0,7,0,0,0,7,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,5,8,7,0,7,0,0,0,0,0,0,0,0,8,0,0,6,0,0,0,6,0,0,0,4,0,0,0,0, 8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,7,0,0,8,0,0,0, 9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,7,13,5,0,5,0,0,0,7,8,4,0,0,0,0,0,0,0, 0,12,0,0,0,0,0,0,0,0,0,0,0,8,6,0,6,0,0,11,0,0,0,0,0,0,0,0,6,0,0,0,0,0,4,0,0,0,0, 0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,10,7,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,11,6,0,0,10,6,0,0, 0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6, 0,0,0,6,0,0,0,7,0,0,9,0,8,7,11,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,9,6,10,5,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,10,7,0,0,0,0,0,0,11,0,9,6,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,5,0,6,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,15,5,12,5, 0,0,0,0,0,0,12,7,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,0,0,12,6,0, 0,0,0,24,4,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,7,0,0,0,0,0,0,0,0,0,0, 0,0,0,4,10,4,0,0,0,0,10,7,0,0,0,0,0,0,0,0,0,0,0,0,9,0,11,0,0,0,0,0,0,0,0,0,0,6, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5, 0,0,8,0,0,0,0,7,0,0,0,0,0,0,10,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,10,7,0,0,0,0,0, 0,0,0,0,0,14,7,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,4,0,0,0,6,0,0,0,0,0,6,0,0,0,6,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,11,6,0,0,0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,7,20,7,11,4,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,7,9,6,0,0,12,7,0,0,0,0,0,0,10,0,12,0, 0,0,0,0,0,4,9,6,13,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,5,0,0,0,0,0,0,8,0,0,0,0,0,0, 0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,6,0,0,11,0,9,0,0,0,0,4,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,8,5,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0, 0,4,0,5,0,0,0,0,0,0,0,0,0,4,0,0,0,0,9,7,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0, 0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,6, 0,0,0,0,8,7,0,0,0,0,0,0,12,0,0,6,0,0,0,0,0,0,0,6,8,4,0,0,10,7,0,0,10,0,0,0,0,0, 0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,7,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,4,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,7,0,0,0,0,0,0,0,5, 0,4,0,0,0,0,0,6,0,0,0,0,0,0,8,0,0,6,0,0,0,6,0,0,0,0,0,7,0,5,8,4,0,0,9,0,0,0,0,4, 0,0,0,0,0,0,0,0,0,5,0,0,15,6,8,6,0,0,0,6,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,6,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,9,6,0,0,0,0,0,0,0,7,0,0,0,4,0, 6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,9,5,0,6,12,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,6,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,8,7,0,6,0,0,0,0,0,0,0,0,0,0,0,0,11,0,12,7,0,0,0,0, 0,0,0,0,0,5,0,5,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,11,4,0,0,0,0,0,0,0,0,0,0,10, 7,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,7,8,7,9,6,0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,5,12,0, 10,5,12,6,0,0,0,7,0,0,0,0,0,0,0,5,0,0,0,5,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7, 11,7,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,6,0,7,0,0,0,0,8,0,8,5,0,6,0,0,0,6,0,0,0, 0,0,0,0,6,0,6,0,6,9,0,0,5,17,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,7,0,0, 0,0,0,7,0,0,0,0,16,5,0,0,0,0,0,0,0,4,0,0,0,5,11,5,0,7,0,0,0,4,8,7,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,7,0,0,0,0,12,0,0,0, 0,0,12,0,0,0,0,0,0,0,0,4,10,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,6,0,0,0,0,0,0,0,4,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,20,5,0,0, 10,0,0,0,0,0,0,0,0,0,0,6,0,0,0,6,12,0,0,0,0,0,0,6,0,0,0,0,0,0,9,4,10,7,0,4,0,0, 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0,6,0,0,0,0,13,6,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0, 0,0,0,8,4,0,6,12,0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,11,4,0,0,0,6,14,0,11,0,9,6,0,0,0,0,0,0,22,0,12,0,8,6,0,0,0,0,0,0,0,6,0, 0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0, 10,7,0,0,0,0,0,0,0,0,9,0,0,0,0,4,0,0,0,0,0,0,0,0,0,5,11,0,0,0,0,0,0,0,8,6,0,0,9, 7,0,0,12,4,0,0,0,0,0,0,12,6,0,6,0,7,0,0,8,5,0,0,0,0}; /* GENERATED CODE END */ #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/histogram.h0000644000175000017500000000352314606651213017657 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Models the histograms of literals, commands and distance codes. */ #ifndef BROTLI_ENC_HISTOGRAM_H_ #define BROTLI_ENC_HISTOGRAM_H_ #include /* memset */ #include #include "../common/constants.h" #include "../common/context.h" #include "../common/platform.h" #include "block_splitter.h" #include "command.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* The distance symbols effectively used by "Large Window Brotli" (32-bit). */ #define BROTLI_NUM_HISTOGRAM_DISTANCE_SYMBOLS 544 #define FN(X) X ## Literal #define DATA_SIZE BROTLI_NUM_LITERAL_SYMBOLS #define DataType uint8_t #include "histogram_inc.h" /* NOLINT(build/include) */ #undef DataType #undef DATA_SIZE #undef FN #define FN(X) X ## Command #define DataType uint16_t #define DATA_SIZE BROTLI_NUM_COMMAND_SYMBOLS #include "histogram_inc.h" /* NOLINT(build/include) */ #undef DATA_SIZE #undef FN #define FN(X) X ## Distance #define DATA_SIZE BROTLI_NUM_HISTOGRAM_DISTANCE_SYMBOLS #include "histogram_inc.h" /* NOLINT(build/include) */ #undef DataType #undef DATA_SIZE #undef FN BROTLI_INTERNAL void BrotliBuildHistogramsWithContext( const Command* cmds, const size_t num_commands, const BlockSplit* literal_split, const BlockSplit* insert_and_copy_split, const BlockSplit* dist_split, const uint8_t* ringbuffer, size_t pos, size_t mask, uint8_t prev_byte, uint8_t prev_byte2, const ContextType* context_modes, HistogramLiteral* literal_histograms, HistogramCommand* insert_and_copy_histograms, HistogramDistance* copy_dist_histograms); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_HISTOGRAM_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/block_splitter.c0000644000175000017500000001634314606651213020701 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Block split point selection utilities. */ #include "block_splitter.h" #include /* memcpy, memset */ #include "../common/platform.h" #include "bit_cost.h" #include "cluster.h" #include "command.h" #include "fast_log.h" #include "histogram.h" #include "memory.h" #include "quality.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif static const size_t kMaxLiteralHistograms = 100; static const size_t kMaxCommandHistograms = 50; static const double kLiteralBlockSwitchCost = 28.1; static const double kCommandBlockSwitchCost = 13.5; static const double kDistanceBlockSwitchCost = 14.6; static const size_t kLiteralStrideLength = 70; static const size_t kCommandStrideLength = 40; static const size_t kDistanceStrideLength = 40; static const size_t kSymbolsPerLiteralHistogram = 544; static const size_t kSymbolsPerCommandHistogram = 530; static const size_t kSymbolsPerDistanceHistogram = 544; static const size_t kMinLengthForBlockSplitting = 128; static const size_t kIterMulForRefining = 2; static const size_t kMinItersForRefining = 100; static size_t CountLiterals(const Command* cmds, const size_t num_commands) { /* Count how many we have. */ size_t total_length = 0; size_t i; for (i = 0; i < num_commands; ++i) { total_length += cmds[i].insert_len_; } return total_length; } static void CopyLiteralsToByteArray(const Command* cmds, const size_t num_commands, const uint8_t* data, const size_t offset, const size_t mask, uint8_t* literals) { size_t pos = 0; size_t from_pos = offset & mask; size_t i; for (i = 0; i < num_commands; ++i) { size_t insert_len = cmds[i].insert_len_; if (from_pos + insert_len > mask) { size_t head_size = mask + 1 - from_pos; memcpy(literals + pos, data + from_pos, head_size); from_pos = 0; pos += head_size; insert_len -= head_size; } if (insert_len > 0) { memcpy(literals + pos, data + from_pos, insert_len); pos += insert_len; } from_pos = (from_pos + insert_len + CommandCopyLen(&cmds[i])) & mask; } } static BROTLI_INLINE uint32_t MyRand(uint32_t* seed) { /* Initial seed should be 7. In this case, loop length is (1 << 29). */ *seed *= 16807U; return *seed; } static BROTLI_INLINE double BitCost(size_t count) { return count == 0 ? -2.0 : FastLog2(count); } #define HISTOGRAMS_PER_BATCH 64 #define CLUSTERS_PER_BATCH 16 #define FN(X) X ## Literal #define DataType uint8_t /* NOLINTNEXTLINE(build/include) */ #include "block_splitter_inc.h" #undef DataType #undef FN #define FN(X) X ## Command #define DataType uint16_t /* NOLINTNEXTLINE(build/include) */ #include "block_splitter_inc.h" #undef FN #define FN(X) X ## Distance /* NOLINTNEXTLINE(build/include) */ #include "block_splitter_inc.h" #undef DataType #undef FN void BrotliInitBlockSplit(BlockSplit* self) { self->num_types = 0; self->num_blocks = 0; self->types = 0; self->lengths = 0; self->types_alloc_size = 0; self->lengths_alloc_size = 0; } void BrotliDestroyBlockSplit(MemoryManager* m, BlockSplit* self) { BROTLI_FREE(m, self->types); BROTLI_FREE(m, self->lengths); } /* Extracts literals, command distance and prefix codes, then applies * SplitByteVector to create partitioning. */ void BrotliSplitBlock(MemoryManager* m, const Command* cmds, const size_t num_commands, const uint8_t* data, const size_t pos, const size_t mask, const BrotliEncoderParams* params, BlockSplit* literal_split, BlockSplit* insert_and_copy_split, BlockSplit* dist_split) { { size_t literals_count = CountLiterals(cmds, num_commands); uint8_t* literals = BROTLI_ALLOC(m, uint8_t, literals_count); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(literals)) return; /* Create a continuous array of literals. */ CopyLiteralsToByteArray(cmds, num_commands, data, pos, mask, literals); /* Create the block split on the array of literals. * Literal histograms can have alphabet size up to 256. * Though, to accomodate context modeling, less than half of maximum size * is allowed. */ SplitByteVectorLiteral( m, literals, literals_count, kSymbolsPerLiteralHistogram, kMaxLiteralHistograms, kLiteralStrideLength, kLiteralBlockSwitchCost, params, literal_split); if (BROTLI_IS_OOM(m)) return; BROTLI_FREE(m, literals); /* NB: this might be a good place for injecting extra splitting without * increasing encoder complexity; however, output parition would be less * optimal than one produced with forced splitting inside * SplitByteVector (FindBlocks / ClusterBlocks). */ } { /* Compute prefix codes for commands. */ uint16_t* insert_and_copy_codes = BROTLI_ALLOC(m, uint16_t, num_commands); size_t i; if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(insert_and_copy_codes)) return; for (i = 0; i < num_commands; ++i) { insert_and_copy_codes[i] = cmds[i].cmd_prefix_; } /* Create the block split on the array of command prefixes. */ SplitByteVectorCommand( m, insert_and_copy_codes, num_commands, kSymbolsPerCommandHistogram, kMaxCommandHistograms, kCommandStrideLength, kCommandBlockSwitchCost, params, insert_and_copy_split); if (BROTLI_IS_OOM(m)) return; /* TODO(eustas): reuse for distances? */ BROTLI_FREE(m, insert_and_copy_codes); } { /* Create a continuous array of distance prefixes. */ uint16_t* distance_prefixes = BROTLI_ALLOC(m, uint16_t, num_commands); size_t j = 0; size_t i; if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(distance_prefixes)) return; for (i = 0; i < num_commands; ++i) { const Command* cmd = &cmds[i]; if (CommandCopyLen(cmd) && cmd->cmd_prefix_ >= 128) { distance_prefixes[j++] = cmd->dist_prefix_ & 0x3FF; } } /* Create the block split on the array of distance prefixes. */ SplitByteVectorDistance( m, distance_prefixes, j, kSymbolsPerDistanceHistogram, kMaxCommandHistograms, kDistanceStrideLength, kDistanceBlockSwitchCost, params, dist_split); if (BROTLI_IS_OOM(m)) return; BROTLI_FREE(m, distance_prefixes); } } #if defined(BROTLI_TEST) size_t CountLiteralsForTest(const Command*, const size_t); size_t CountLiteralsForTest(const Command* cmds, const size_t num_commands) { return CountLiterals(cmds, num_commands); } void CopyLiteralsToByteArrayForTest(const Command*, const size_t, const uint8_t*, const size_t, const size_t, uint8_t*); void CopyLiteralsToByteArrayForTest(const Command* cmds, const size_t num_commands, const uint8_t* data, const size_t offset, const size_t mask, uint8_t* literals) { CopyLiteralsToByteArray(cmds, num_commands, data, offset, mask, literals); } #endif #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/cluster.h0000644000175000017500000000200014606651213017330 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Functions for clustering similar histograms together. */ #ifndef BROTLI_ENC_CLUSTER_H_ #define BROTLI_ENC_CLUSTER_H_ #include #include "../common/platform.h" #include "histogram.h" #include "memory.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif typedef struct HistogramPair { uint32_t idx1; uint32_t idx2; double cost_combo; double cost_diff; } HistogramPair; #define CODE(X) /* Declaration */; #define FN(X) X ## Literal #include "cluster_inc.h" /* NOLINT(build/include) */ #undef FN #define FN(X) X ## Command #include "cluster_inc.h" /* NOLINT(build/include) */ #undef FN #define FN(X) X ## Distance #include "cluster_inc.h" /* NOLINT(build/include) */ #undef FN #undef CODE #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_CLUSTER_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/bit_cost_inc.h0000644000175000017500000001001514606651213020313 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: FN */ #define HistogramType FN(Histogram) double FN(BrotliPopulationCost)(const HistogramType* histogram) { static const double kOneSymbolHistogramCost = 12; static const double kTwoSymbolHistogramCost = 20; static const double kThreeSymbolHistogramCost = 28; static const double kFourSymbolHistogramCost = 37; const size_t data_size = FN(HistogramDataSize)(); int count = 0; size_t s[5]; double bits = 0.0; size_t i; if (histogram->total_count_ == 0) { return kOneSymbolHistogramCost; } for (i = 0; i < data_size; ++i) { if (histogram->data_[i] > 0) { s[count] = i; ++count; if (count > 4) break; } } if (count == 1) { return kOneSymbolHistogramCost; } if (count == 2) { return (kTwoSymbolHistogramCost + (double)histogram->total_count_); } if (count == 3) { const uint32_t histo0 = histogram->data_[s[0]]; const uint32_t histo1 = histogram->data_[s[1]]; const uint32_t histo2 = histogram->data_[s[2]]; const uint32_t histomax = BROTLI_MAX(uint32_t, histo0, BROTLI_MAX(uint32_t, histo1, histo2)); return (kThreeSymbolHistogramCost + 2 * (histo0 + histo1 + histo2) - histomax); } if (count == 4) { uint32_t histo[4]; uint32_t h23; uint32_t histomax; for (i = 0; i < 4; ++i) { histo[i] = histogram->data_[s[i]]; } /* Sort */ for (i = 0; i < 4; ++i) { size_t j; for (j = i + 1; j < 4; ++j) { if (histo[j] > histo[i]) { BROTLI_SWAP(uint32_t, histo, j, i); } } } h23 = histo[2] + histo[3]; histomax = BROTLI_MAX(uint32_t, h23, histo[0]); return (kFourSymbolHistogramCost + 3 * h23 + 2 * (histo[0] + histo[1]) - histomax); } { /* In this loop we compute the entropy of the histogram and simultaneously build a simplified histogram of the code length codes where we use the zero repeat code 17, but we don't use the non-zero repeat code 16. */ size_t max_depth = 1; uint32_t depth_histo[BROTLI_CODE_LENGTH_CODES] = { 0 }; const double log2total = FastLog2(histogram->total_count_); for (i = 0; i < data_size;) { if (histogram->data_[i] > 0) { /* Compute -log2(P(symbol)) = -log2(count(symbol)/total_count) = = log2(total_count) - log2(count(symbol)) */ double log2p = log2total - FastLog2(histogram->data_[i]); /* Approximate the bit depth by round(-log2(P(symbol))) */ size_t depth = (size_t)(log2p + 0.5); bits += histogram->data_[i] * log2p; if (depth > 15) { depth = 15; } if (depth > max_depth) { max_depth = depth; } ++depth_histo[depth]; ++i; } else { /* Compute the run length of zeros and add the appropriate number of 0 and 17 code length codes to the code length code histogram. */ uint32_t reps = 1; size_t k; for (k = i + 1; k < data_size && histogram->data_[k] == 0; ++k) { ++reps; } i += reps; if (i == data_size) { /* Don't add any cost for the last zero run, since these are encoded only implicitly. */ break; } if (reps < 3) { depth_histo[0] += reps; } else { reps -= 2; while (reps > 0) { ++depth_histo[BROTLI_REPEAT_ZERO_CODE_LENGTH]; /* Add the 3 extra bits for the 17 code length code. */ bits += 3; reps >>= 3; } } } } /* Add the estimated encoding cost of the code length code histogram. */ bits += (double)(18 + 2 * max_depth); /* Add the entropy of the code length code histogram. */ bits += BitsEntropy(depth_histo, BROTLI_CODE_LENGTH_CODES); } return bits; } #undef HistogramType IO-Compress-Brotli-0.019/brotli/c/enc/encoder_dict.c0000644000175000017500000005536114606651213020306 0ustar timtim/* Copyright 2017 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ #include "encoder_dict.h" #include /* malloc, free */ #include "../common/dictionary.h" #include "../common/platform.h" #include "../common/shared_dictionary_internal.h" #include "../common/transform.h" #include "compound_dictionary.h" #include "dictionary_hash.h" #include "memory.h" #include "quality.h" #include "hash.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #define NUM_HASH_BITS 15u #define NUM_HASH_BUCKETS (1u << NUM_HASH_BITS) static void BrotliTrieInit(BrotliTrie* trie) { trie->pool_capacity = 0; trie->pool_size = 0; trie->pool = 0; /* Set up the root node */ trie->root.single = 0; trie->root.len_ = 0; trie->root.idx_ = 0; trie->root.sub = 0; } static void BrotliTrieFree(MemoryManager* m, BrotliTrie* trie) { BrotliFree(m, trie->pool); } /* Initializes to RFC 7932 static dictionary / transforms. */ static void InitEncoderDictionary(BrotliEncoderDictionary* dict) { dict->words = BrotliGetDictionary(); dict->num_transforms = (uint32_t)BrotliGetTransforms()->num_transforms; dict->hash_table_words = kStaticDictionaryHashWords; dict->hash_table_lengths = kStaticDictionaryHashLengths; dict->buckets = kStaticDictionaryBuckets; dict->dict_words = kStaticDictionaryWords; dict->cutoffTransformsCount = kCutoffTransformsCount; dict->cutoffTransforms = kCutoffTransforms; dict->parent = 0; dict->hash_table_data_words_ = 0; dict->hash_table_data_lengths_ = 0; dict->buckets_alloc_size_ = 0; dict->buckets_data_ = 0; dict->dict_words_alloc_size_ = 0; dict->dict_words_data_ = 0; dict->words_instance_ = 0; dict->has_words_heavy = BROTLI_FALSE; BrotliTrieInit(&dict->trie); } static void BrotliDestroyEncoderDictionary(MemoryManager* m, BrotliEncoderDictionary* dict) { BrotliFree(m, dict->hash_table_data_words_); BrotliFree(m, dict->hash_table_data_lengths_); BrotliFree(m, dict->buckets_data_); BrotliFree(m, dict->dict_words_data_); BrotliFree(m, dict->words_instance_); BrotliTrieFree(m, &dict->trie); } #if defined(BROTLI_EXPERIMENTAL) /* Word length must be at least 4 bytes */ static uint32_t Hash(const uint8_t* data, int bits) { uint32_t h = BROTLI_UNALIGNED_LOAD32LE(data) * kHashMul32; /* The higher bits contain more mixture from the multiplication, so we take our results from there. */ return h >> (32 - bits); } /* Theoretical max possible word size after transform */ #define kTransformedBufferSize \ (256 + 256 + SHARED_BROTLI_MAX_DICTIONARY_WORD_LENGTH) /* To be safe buffer must have at least kTransformedBufferSize */ static void TransformedDictionaryWord(uint32_t word_idx, int len, int transform, const BrotliTransforms* transforms, const BrotliEncoderDictionary* dict, uint8_t* buffer, size_t* size) { const uint8_t* dict_word = &dict->words->data[ dict->words->offsets_by_length[len] + (uint32_t)len * word_idx]; *size = (size_t)BrotliTransformDictionaryWord(buffer, dict_word, len, transforms, transform); } static DictWord MakeDictWord(uint8_t len, uint8_t transform, uint16_t idx) { DictWord result; result.len = len; result.transform = transform; result.idx = idx; return result; } static uint32_t BrotliTrieAlloc(MemoryManager* m, size_t num, BrotliTrie* trie, BrotliTrieNode** keep) { uint32_t result; uint32_t keep_index = 0; if (keep && *keep != &trie->root) { /* Optional node to keep, since address may change after re-allocating */ keep_index = (uint32_t)(*keep - trie->pool); } if (trie->pool_size == 0) { /* Have a dummy node in the front. We do not want the result to be 0, it must be at least 1, 0 represents "null pointer" */ trie->pool_size = 1; } BROTLI_ENSURE_CAPACITY(m, BrotliTrieNode, trie->pool, trie->pool_capacity, trie->pool_size + num); if (BROTLI_IS_OOM(m)) return 0; /* Init the new nodes to empty */ memset(trie->pool + trie->pool_size, 0, sizeof(*trie->pool) * num); result = (uint32_t)trie->pool_size; trie->pool_size += num; if (keep && *keep != &trie->root) { *keep = trie->pool + keep_index; } return result; } /** * len and idx: payload for last node * word, size: the string * index: position in the string */ static BROTLI_BOOL BrotliTrieNodeAdd(MemoryManager* m, uint8_t len, uint32_t idx, const uint8_t* word, size_t size, int index, BrotliTrieNode* node, BrotliTrie* trie) { BrotliTrieNode* child = 0; uint8_t c; if ((size_t)index == size) { if (!node->len_ || idx < node->idx_) { node->len_ = len; node->idx_ = idx; } return BROTLI_TRUE; } c = word[index]; if (node->single && c != node->c) { BrotliTrieNode old = trie->pool[node->sub]; uint32_t new_nodes = BrotliTrieAlloc(m, 32, trie, &node); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; node->single = 0; node->sub = new_nodes; trie->pool[node->sub + (node->c >> 4)].sub = new_nodes + 16; trie->pool[trie->pool[node->sub + (node->c >> 4)].sub + (node->c & 15)] = old; } if (!node->sub) { uint32_t new_node = BrotliTrieAlloc(m, 1, trie, &node); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; node->single = 1; node->c = c; node->sub = new_node; } if (node->single) { child = &trie->pool[node->sub]; } else { if (!trie->pool[node->sub + (c >> 4)].sub) { uint32_t new_nodes = BrotliTrieAlloc(m, 16, trie, &node); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; trie->pool[node->sub + (c >> 4)].sub = new_nodes; } child = &trie->pool[trie->pool[node->sub + (c >> 4)].sub + (c & 15)]; } return BrotliTrieNodeAdd(m, len, idx, word, size, index + 1, child, trie); } static BROTLI_BOOL BrotliTrieAdd(MemoryManager* m, uint8_t len, uint32_t idx, const uint8_t* word, size_t size, BrotliTrie* trie) { return BrotliTrieNodeAdd(m, len, idx, word, size, 0, &trie->root, trie); } const BrotliTrieNode* BrotliTrieSub(const BrotliTrie* trie, const BrotliTrieNode* node, uint8_t c) { BrotliTrieNode* temp_node; if (node->single) { if (node->c == c) return &trie->pool[node->sub]; return 0; } if (!node->sub) return 0; temp_node = &trie->pool[node->sub + (c >> 4)]; if (!temp_node->sub) return 0; return &trie->pool[temp_node->sub + (c & 15)]; } static const BrotliTrieNode* BrotliTrieFind(const BrotliTrie* trie, const uint8_t* word, size_t size) { const BrotliTrieNode* node = &trie->root; size_t i; for (i = 0; i < size; i++) { node = BrotliTrieSub(trie, node, word[i]); if (!node) return 0; } return node; } static BROTLI_BOOL BuildDictionaryLut(MemoryManager* m, const BrotliTransforms* transforms, BrotliEncoderDictionary* dict) { uint32_t i; DictWord* dict_words; uint16_t* buckets; DictWord** words_by_hash; size_t* words_by_hash_size; size_t* words_by_hash_capacity; BrotliTrie dedup; uint8_t word[kTransformedBufferSize]; size_t word_size; size_t total = 0; uint8_t l; uint16_t idx; BrotliTrieInit(&dedup); words_by_hash = (DictWord**)BrotliAllocate(m, sizeof(*words_by_hash) * NUM_HASH_BUCKETS); words_by_hash_size = (size_t*)BrotliAllocate(m, sizeof(*words_by_hash_size) * NUM_HASH_BUCKETS); words_by_hash_capacity = (size_t*)BrotliAllocate(m, sizeof(*words_by_hash_capacity) * NUM_HASH_BUCKETS); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; memset(words_by_hash, 0, sizeof(*words_by_hash) * NUM_HASH_BUCKETS); memset(words_by_hash_size, 0, sizeof(*words_by_hash_size) * NUM_HASH_BUCKETS); memset(words_by_hash_capacity, 0, sizeof(*words_by_hash_capacity) * NUM_HASH_BUCKETS); if (transforms->num_transforms > 0) { for (l = SHARED_BROTLI_MIN_DICTIONARY_WORD_LENGTH; l <= SHARED_BROTLI_MAX_DICTIONARY_WORD_LENGTH; ++l) { uint16_t n = dict->words->size_bits_by_length[l] ? (uint16_t)(1 << dict->words->size_bits_by_length[l]) : 0u; for (idx = 0; idx < n; ++idx) { uint32_t key; /* First transform (usually identity) */ TransformedDictionaryWord(idx, l, 0, transforms, dict, word, &word_size); /* Cannot hash words smaller than 4 bytes */ if (word_size < 4) { /* Break instead of continue, all next words of this length will have same length after transform */ break; } if (!BrotliTrieAdd(m, 0, idx, word, word_size, &dedup)) { return BROTLI_FALSE; } key = Hash(word, NUM_HASH_BITS); BROTLI_ENSURE_CAPACITY_APPEND(m, DictWord, words_by_hash[key], words_by_hash_capacity[key], words_by_hash_size[key], MakeDictWord(l, 0, idx)); ++total; } } } /* These LUT transforms only supported if no custom transforms. This is ok, we will use the heavy trie instead. */ if (transforms == BrotliGetTransforms()) { for (l = SHARED_BROTLI_MIN_DICTIONARY_WORD_LENGTH; l <= SHARED_BROTLI_MAX_DICTIONARY_WORD_LENGTH; ++l) { uint16_t n = dict->words->size_bits_by_length[l] ? (uint16_t)(1 << dict->words->size_bits_by_length[l]) : 0u; for (idx = 0; idx < n; ++idx) { int k; BROTLI_BOOL is_ascii = BROTLI_TRUE; size_t offset = dict->words->offsets_by_length[l] + (size_t)l * idx; const uint8_t* data = &dict->words->data[offset]; for (k = 0; k < l; ++k) { if (data[k] >= 128) is_ascii = BROTLI_FALSE; } if (data[0] < 128) { int transform = 9; /* {empty, uppercase first, empty} */ uint32_t ix = idx + (uint32_t)transform * n; const BrotliTrieNode* it; TransformedDictionaryWord(idx, l, transform, transforms, dict, word, &word_size); it = BrotliTrieFind(&dedup, word, word_size); if (!it || it->idx_ > ix) { uint32_t key = Hash(word, NUM_HASH_BITS); if (!BrotliTrieAdd(m, 0, ix, word, word_size, &dedup)) { return BROTLI_FALSE; } BROTLI_ENSURE_CAPACITY_APPEND(m, DictWord, words_by_hash[key], words_by_hash_capacity[key], words_by_hash_size[key], MakeDictWord(l, BROTLI_TRANSFORM_UPPERCASE_FIRST, idx)); ++total; } } if (is_ascii) { int transform = 44; /* {empty, uppercase all, empty} */ uint32_t ix = idx + (uint32_t)transform * n; const BrotliTrieNode* it; TransformedDictionaryWord(idx, l, transform, transforms, dict, word, &word_size); it = BrotliTrieFind(&dedup, word, word_size); if (!it || it->idx_ > ix) { uint32_t key = Hash(word, NUM_HASH_BITS); if (!BrotliTrieAdd(m, 0, ix, word, word_size, &dedup)) { return BROTLI_FALSE; } BROTLI_ENSURE_CAPACITY_APPEND(m, DictWord, words_by_hash[key], words_by_hash_capacity[key], words_by_hash_size[key], MakeDictWord(l, BROTLI_TRANSFORM_UPPERCASE_ALL, idx)); ++total; } } } } } dict_words = (DictWord*)BrotliAllocate(m, sizeof(*dict->dict_words) * (total + 1)); buckets = (uint16_t*)BrotliAllocate(m, sizeof(*dict->buckets) * NUM_HASH_BUCKETS); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; dict->dict_words_alloc_size_ = total + 1; dict->dict_words = dict->dict_words_data_ = dict_words; dict->buckets_alloc_size_ = NUM_HASH_BUCKETS; dict->buckets = dict->buckets_data_ = buckets; /* Unused; makes offsets start from 1. */ dict_words[0] = MakeDictWord(0, 0, 0); total = 1; for (i = 0; i < NUM_HASH_BUCKETS; ++i) { size_t num_words = words_by_hash_size[i]; if (num_words > 0) { buckets[i] = (uint16_t)(total); memcpy(&dict_words[total], &words_by_hash[i][0], sizeof(dict_words[0]) * num_words); total += num_words; dict_words[total - 1].len |= 0x80; } else { buckets[i] = 0; } } for (i = 0; i < NUM_HASH_BUCKETS; ++i) { BrotliFree(m, words_by_hash[i]); } BrotliFree(m, words_by_hash); BrotliFree(m, words_by_hash_size); BrotliFree(m, words_by_hash_capacity); BrotliTrieFree(m, &dedup); return BROTLI_TRUE; } static void BuildDictionaryHashTable(uint16_t* hash_table_words, uint8_t* hash_table_lengths, const BrotliDictionary* dict) { int j, len; /* The order of the loops is such that in case of collision, words with shorter length are preferred, and in case of same length, words with smaller index. There is only a single word per bucket. */ /* TODO(lode): consider adding optional user-supplied frequency_map to use for preferred words instead, this can make the encoder better for quality 9 and below without affecting the decoder */ memset(hash_table_words, 0, sizeof(kStaticDictionaryHashWords)); memset(hash_table_lengths, 0, sizeof(kStaticDictionaryHashLengths)); for (len = SHARED_BROTLI_MAX_DICTIONARY_WORD_LENGTH; len >= SHARED_BROTLI_MIN_DICTIONARY_WORD_LENGTH; --len) { const size_t num_words = dict->size_bits_by_length[len] ? (1u << dict->size_bits_by_length[len]) : 0; for (j = (int)num_words - 1; j >= 0; --j) { size_t offset = dict->offsets_by_length[len] + (size_t)len * (size_t)j; const uint8_t* word = &dict->data[offset]; const uint32_t key = Hash(word, 14); int idx = (int)(key << 1) + (len < 8 ? 1 : 0); BROTLI_DCHECK(idx < (int)NUM_HASH_BUCKETS); hash_table_words[idx] = (uint16_t)j; hash_table_lengths[idx] = (uint8_t)len; } } } static BROTLI_BOOL GenerateWordsHeavy(MemoryManager* m, const BrotliTransforms* transforms, BrotliEncoderDictionary* dict) { int i, j, l; for (j = (int)transforms->num_transforms - 1; j >= 0 ; --j) { for (l = 0; l < 32; l++) { int num = (int)((1u << dict->words->size_bits_by_length[l]) & ~1u); for (i = 0; i < num; i++) { uint8_t transformed[kTransformedBufferSize]; size_t size; TransformedDictionaryWord( (uint32_t)i, l, j, transforms, dict, transformed, &size); if (size < 4) continue; if (!BrotliTrieAdd(m, (uint8_t)l, (uint32_t)(i + num * j), transformed, size, &dict->trie)) { return BROTLI_FALSE; } } } } return BROTLI_TRUE; } /* Computes cutoffTransformsCount (in count) and cutoffTransforms (in data) for the custom transforms, where possible within the limits of the cutoffTransforms encoding. The fast encoder uses this to do fast lookup for transforms that remove the N last characters (OmitLast). */ static void ComputeCutoffTransforms( const BrotliTransforms* transforms, uint32_t* count, uint64_t* data) { int i; /* The encoding in a 64-bit integer of transform N in the data is: (N << 2) + ((cutoffTransforms >> (N * 6)) & 0x3F), so for example the identity transform code must be 0-63, for N=1 the transform code must be 4-67, ..., for N=9 it must be 36-99. TODO(lode): consider a simple flexible uint8_t[10] instead of the uint64_t for the cutoff transforms, so that shared dictionaries can have the OmitLast transforms anywhere without loss. */ *count = 0; *data = 0; for (i = 0; i < BROTLI_TRANSFORMS_MAX_CUT_OFF + 1; i++) { int idx = transforms->cutOffTransforms[i]; if (idx == -1) break; /* Not found */ if (idx < (i << 2)) break; /* Too small for the encoding */ if (idx >= (i << 2) + 64) break; /* Too large for the encoding */ (*count)++; *data |= (uint64_t)(((uint64_t)idx - ((uint64_t)i << 2u)) << ((uint64_t)i * 6u)); } } static BROTLI_BOOL ComputeDictionary(MemoryManager* m, int quality, const BrotliTransforms* transforms, BrotliEncoderDictionary* current) { int default_words = current->words == BrotliGetDictionary(); int default_transforms = transforms == BrotliGetTransforms(); if (default_words && default_transforms) { /* hashes are already set to Brotli defaults */ return BROTLI_TRUE; } current->hash_table_data_words_ = (uint16_t*)BrotliAllocate( m, sizeof(kStaticDictionaryHashWords)); current->hash_table_data_lengths_ = (uint8_t*)BrotliAllocate( m, sizeof(kStaticDictionaryHashLengths)); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; current->hash_table_words = current->hash_table_data_words_; current->hash_table_lengths = current->hash_table_data_lengths_; BuildDictionaryHashTable(current->hash_table_data_words_, current->hash_table_data_lengths_, current->words); ComputeCutoffTransforms(transforms, ¤t->cutoffTransformsCount, ¤t->cutoffTransforms); /* Only compute the data for slow encoder if the requested quality is high enough to need it */ if (quality >= ZOPFLIFICATION_QUALITY) { if (!BuildDictionaryLut(m, transforms, current)) return BROTLI_FALSE; /* For the built-in Brotli transforms, there is a hard-coded function to handle all transforms, but for custom transforms, we use the following large hammer instead */ current->has_words_heavy = !default_transforms; if (current->has_words_heavy) { if (!GenerateWordsHeavy(m, transforms, current)) return BROTLI_FALSE; } } return BROTLI_TRUE; } #endif /* BROTLI_EXPERIMENTAL */ void BrotliInitSharedEncoderDictionary(SharedEncoderDictionary* dict) { dict->magic = kSharedDictionaryMagic; dict->compound.num_chunks = 0; dict->compound.total_size = 0; dict->compound.chunk_offsets[0] = 0; dict->compound.num_prepared_instances_ = 0; dict->contextual.context_based = 0; dict->contextual.num_dictionaries = 1; dict->contextual.instances_ = 0; dict->contextual.num_instances_ = 1; /* The instance_ field */ dict->contextual.dict[0] = &dict->contextual.instance_; InitEncoderDictionary(&dict->contextual.instance_); dict->contextual.instance_.parent = &dict->contextual; dict->max_quality = BROTLI_MAX_QUALITY; } #if defined(BROTLI_EXPERIMENTAL) /* TODO(eustas): make sure that tooling will warn user if not all the cutoff transforms are available (for low-quality encoder). */ static BROTLI_BOOL InitCustomSharedEncoderDictionary( MemoryManager* m, const BrotliSharedDictionary* decoded_dict, int quality, SharedEncoderDictionary* dict) { ContextualEncoderDictionary* contextual; CompoundDictionary* compound; BrotliEncoderDictionary* instances; int i; BrotliInitSharedEncoderDictionary(dict); contextual = &dict->contextual; compound = &dict->compound; for (i = 0; i < (int)decoded_dict->num_prefix; i++) { PreparedDictionary* prepared = CreatePreparedDictionary(m, decoded_dict->prefix[i], decoded_dict->prefix_size[i]); AttachPreparedDictionary(compound, prepared); /* remember for cleanup */ compound->prepared_instances_[ compound->num_prepared_instances_++] = prepared; } dict->max_quality = quality; contextual->context_based = decoded_dict->context_based; if (decoded_dict->context_based) { memcpy(contextual->context_map, decoded_dict->context_map, SHARED_BROTLI_NUM_DICTIONARY_CONTEXTS); } contextual->num_dictionaries = decoded_dict->num_dictionaries; contextual->num_instances_ = decoded_dict->num_dictionaries; if (contextual->num_instances_ == 1) { instances = &contextual->instance_; } else { contextual->instances_ = (BrotliEncoderDictionary*) BrotliAllocate(m, sizeof(*contextual->instances_) * contextual->num_instances_); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; instances = contextual->instances_; } for (i = 0; i < (int)contextual->num_instances_; i++) { BrotliEncoderDictionary* current = &instances[i]; InitEncoderDictionary(current); current->parent = &dict->contextual; if (decoded_dict->words[i] == BrotliGetDictionary()) { current->words = BrotliGetDictionary(); } else { current->words_instance_ = (BrotliDictionary*)BrotliAllocate( m, sizeof(BrotliDictionary)); if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; *current->words_instance_ = *decoded_dict->words[i]; current->words = current->words_instance_; } current->num_transforms = (uint32_t)decoded_dict->transforms[i]->num_transforms; if (!ComputeDictionary( m, quality, decoded_dict->transforms[i], current)) { return BROTLI_FALSE; } contextual->dict[i] = current; } return BROTLI_TRUE; /* success */ } BROTLI_BOOL BrotliInitCustomSharedEncoderDictionary( MemoryManager* m, const uint8_t* encoded_dict, size_t size, int quality, SharedEncoderDictionary* dict) { BROTLI_BOOL success = BROTLI_FALSE; BrotliSharedDictionary* decoded_dict = BrotliSharedDictionaryCreateInstance( m->alloc_func, m->free_func, m->opaque); if (!decoded_dict) { /* OOM */ return BROTLI_FALSE; } success = BrotliSharedDictionaryAttach( decoded_dict, BROTLI_SHARED_DICTIONARY_SERIALIZED, size, encoded_dict); if (success) { success = InitCustomSharedEncoderDictionary(m, decoded_dict, quality, dict); } BrotliSharedDictionaryDestroyInstance(decoded_dict); return success; } #endif /* BROTLI_EXPERIMENTAL */ void BrotliCleanupSharedEncoderDictionary(MemoryManager* m, SharedEncoderDictionary* dict) { size_t i; for (i = 0; i < dict->compound.num_prepared_instances_; i++) { DestroyPreparedDictionary(m, (PreparedDictionary*)dict->compound.prepared_instances_[i]); } if (dict->contextual.num_instances_ == 1) { BrotliDestroyEncoderDictionary(m, &dict->contextual.instance_); } else if (dict->contextual.num_instances_ > 1) { for (i = 0; i < dict->contextual.num_instances_; i++) { BrotliDestroyEncoderDictionary(m, &dict->contextual.instances_[i]); } BrotliFree(m, dict->contextual.instances_); } } ManagedDictionary* BrotliCreateManagedDictionary( brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque) { ManagedDictionary* result = (ManagedDictionary*)BrotliBootstrapAlloc( sizeof(ManagedDictionary), alloc_func, free_func, opaque); if (result == NULL) return NULL; result->magic = kManagedDictionaryMagic; BrotliInitMemoryManager( &result->memory_manager_, alloc_func, free_func, opaque); result->dictionary = NULL; return result; } void BrotliDestroyManagedDictionary(ManagedDictionary* dictionary) { if (!dictionary) return; BrotliBootstrapFree(dictionary, &dictionary->memory_manager_); } /* Escalate internal functions visibility; for testing purposes only. */ #if defined(BROTLI_TEST) void InitEncoderDictionaryForTest(BrotliEncoderDictionary*); void InitEncoderDictionaryForTest(BrotliEncoderDictionary* d) { InitEncoderDictionary(d); } #endif #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/memory.c0000644000175000017500000001277614606651213017177 0ustar timtim/* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Algorithms for distributing the literals and commands of a metablock between block types and contexts. */ #include "memory.h" #include /* exit, free, malloc */ #include /* memcpy */ #include #include "../common/platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #define MAX_NEW_ALLOCATED (BROTLI_ENCODER_MEMORY_MANAGER_SLOTS >> 2) #define MAX_NEW_FREED (BROTLI_ENCODER_MEMORY_MANAGER_SLOTS >> 2) #define MAX_PERM_ALLOCATED (BROTLI_ENCODER_MEMORY_MANAGER_SLOTS >> 1) #define PERM_ALLOCATED_OFFSET 0 #define NEW_ALLOCATED_OFFSET MAX_PERM_ALLOCATED #define NEW_FREED_OFFSET (MAX_PERM_ALLOCATED + MAX_NEW_ALLOCATED) void BrotliInitMemoryManager( MemoryManager* m, brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque) { if (!alloc_func) { m->alloc_func = BrotliDefaultAllocFunc; m->free_func = BrotliDefaultFreeFunc; m->opaque = 0; } else { m->alloc_func = alloc_func; m->free_func = free_func; m->opaque = opaque; } #if !defined(BROTLI_ENCODER_EXIT_ON_OOM) m->is_oom = BROTLI_FALSE; m->perm_allocated = 0; m->new_allocated = 0; m->new_freed = 0; #endif /* BROTLI_ENCODER_EXIT_ON_OOM */ } #if defined(BROTLI_ENCODER_EXIT_ON_OOM) void* BrotliAllocate(MemoryManager* m, size_t n) { void* result = m->alloc_func(m->opaque, n); if (!result) exit(EXIT_FAILURE); return result; } void BrotliFree(MemoryManager* m, void* p) { m->free_func(m->opaque, p); } void BrotliWipeOutMemoryManager(MemoryManager* m) { BROTLI_UNUSED(m); } #else /* BROTLI_ENCODER_EXIT_ON_OOM */ static void SortPointers(void** items, const size_t n) { /* Shell sort. */ /* TODO(eustas): fine-tune for "many slots" case */ static const size_t gaps[] = {23, 10, 4, 1}; int g = 0; for (; g < 4; ++g) { size_t gap = gaps[g]; size_t i; for (i = gap; i < n; ++i) { size_t j = i; void* tmp = items[i]; for (; j >= gap && tmp < items[j - gap]; j -= gap) { items[j] = items[j - gap]; } items[j] = tmp; } } } static size_t Annihilate(void** a, size_t a_len, void** b, size_t b_len) { size_t a_read_index = 0; size_t b_read_index = 0; size_t a_write_index = 0; size_t b_write_index = 0; size_t annihilated = 0; while (a_read_index < a_len && b_read_index < b_len) { if (a[a_read_index] == b[b_read_index]) { a_read_index++; b_read_index++; annihilated++; } else if (a[a_read_index] < b[b_read_index]) { a[a_write_index++] = a[a_read_index++]; } else { b[b_write_index++] = b[b_read_index++]; } } while (a_read_index < a_len) a[a_write_index++] = a[a_read_index++]; while (b_read_index < b_len) b[b_write_index++] = b[b_read_index++]; return annihilated; } static void CollectGarbagePointers(MemoryManager* m) { size_t annihilated; SortPointers(m->pointers + NEW_ALLOCATED_OFFSET, m->new_allocated); SortPointers(m->pointers + NEW_FREED_OFFSET, m->new_freed); annihilated = Annihilate( m->pointers + NEW_ALLOCATED_OFFSET, m->new_allocated, m->pointers + NEW_FREED_OFFSET, m->new_freed); m->new_allocated -= annihilated; m->new_freed -= annihilated; if (m->new_freed != 0) { annihilated = Annihilate( m->pointers + PERM_ALLOCATED_OFFSET, m->perm_allocated, m->pointers + NEW_FREED_OFFSET, m->new_freed); m->perm_allocated -= annihilated; m->new_freed -= annihilated; BROTLI_DCHECK(m->new_freed == 0); } if (m->new_allocated != 0) { BROTLI_DCHECK(m->perm_allocated + m->new_allocated <= MAX_PERM_ALLOCATED); memcpy(m->pointers + PERM_ALLOCATED_OFFSET + m->perm_allocated, m->pointers + NEW_ALLOCATED_OFFSET, sizeof(void*) * m->new_allocated); m->perm_allocated += m->new_allocated; m->new_allocated = 0; SortPointers(m->pointers + PERM_ALLOCATED_OFFSET, m->perm_allocated); } } void* BrotliAllocate(MemoryManager* m, size_t n) { void* result = m->alloc_func(m->opaque, n); if (!result) { m->is_oom = BROTLI_TRUE; return NULL; } if (m->new_allocated == MAX_NEW_ALLOCATED) CollectGarbagePointers(m); m->pointers[NEW_ALLOCATED_OFFSET + (m->new_allocated++)] = result; return result; } void BrotliFree(MemoryManager* m, void* p) { if (!p) return; m->free_func(m->opaque, p); if (m->new_freed == MAX_NEW_FREED) CollectGarbagePointers(m); m->pointers[NEW_FREED_OFFSET + (m->new_freed++)] = p; } void BrotliWipeOutMemoryManager(MemoryManager* m) { size_t i; CollectGarbagePointers(m); /* Now all unfreed pointers are in perm-allocated list. */ for (i = 0; i < m->perm_allocated; ++i) { m->free_func(m->opaque, m->pointers[PERM_ALLOCATED_OFFSET + i]); } m->perm_allocated = 0; } #endif /* BROTLI_ENCODER_EXIT_ON_OOM */ void* BrotliBootstrapAlloc(size_t size, brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque) { if (!alloc_func && !free_func) { return malloc(size); } else if (alloc_func && free_func) { return alloc_func(opaque, size); } return NULL; } void BrotliBootstrapFree(void* address, MemoryManager* m) { if (!address) { /* Should not happen! */ return; } else { /* Copy values, as those would be freed. */ brotli_free_func free_func = m->free_func; void* opaque = m->opaque; free_func(opaque, address); } } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/fast_log.c0000644000175000017500000001361014606651213017451 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ #include "fast_log.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* ", ".join(["%.16ff" % x for x in [0.0]+[log2(x) for x in range(1, 256)]]) */ const double kBrotliLog2Table[BROTLI_LOG2_TABLE_SIZE] = { 0.0000000000000000f, 0.0000000000000000f, 1.0000000000000000f, 1.5849625007211563f, 2.0000000000000000f, 2.3219280948873622f, 2.5849625007211561f, 2.8073549220576042f, 3.0000000000000000f, 3.1699250014423126f, 3.3219280948873626f, 3.4594316186372978f, 3.5849625007211565f, 3.7004397181410922f, 3.8073549220576037f, 3.9068905956085187f, 4.0000000000000000f, 4.0874628412503400f, 4.1699250014423122f, 4.2479275134435852f, 4.3219280948873626f, 4.3923174227787607f, 4.4594316186372973f, 4.5235619560570131f, 4.5849625007211570f, 4.6438561897747244f, 4.7004397181410926f, 4.7548875021634691f, 4.8073549220576037f, 4.8579809951275728f, 4.9068905956085187f, 4.9541963103868758f, 5.0000000000000000f, 5.0443941193584534f, 5.0874628412503400f, 5.1292830169449664f, 5.1699250014423122f, 5.2094533656289501f, 5.2479275134435852f, 5.2854022188622487f, 5.3219280948873626f, 5.3575520046180838f, 5.3923174227787607f, 5.4262647547020979f, 5.4594316186372973f, 5.4918530963296748f, 5.5235619560570131f, 5.5545888516776376f, 5.5849625007211570f, 5.6147098441152083f, 5.6438561897747244f, 5.6724253419714961f, 5.7004397181410926f, 5.7279204545631996f, 5.7548875021634691f, 5.7813597135246599f, 5.8073549220576046f, 5.8328900141647422f, 5.8579809951275719f, 5.8826430493618416f, 5.9068905956085187f, 5.9307373375628867f, 5.9541963103868758f, 5.9772799234999168f, 6.0000000000000000f, 6.0223678130284544f, 6.0443941193584534f, 6.0660891904577721f, 6.0874628412503400f, 6.1085244567781700f, 6.1292830169449672f, 6.1497471195046822f, 6.1699250014423122f, 6.1898245588800176f, 6.2094533656289510f, 6.2288186904958804f, 6.2479275134435861f, 6.2667865406949019f, 6.2854022188622487f, 6.3037807481771031f, 6.3219280948873617f, 6.3398500028846252f, 6.3575520046180847f, 6.3750394313469254f, 6.3923174227787598f, 6.4093909361377026f, 6.4262647547020979f, 6.4429434958487288f, 6.4594316186372982f, 6.4757334309663976f, 6.4918530963296748f, 6.5077946401986964f, 6.5235619560570131f, 6.5391588111080319f, 6.5545888516776376f, 6.5698556083309478f, 6.5849625007211561f, 6.5999128421871278f, 6.6147098441152092f, 6.6293566200796095f, 6.6438561897747253f, 6.6582114827517955f, 6.6724253419714952f, 6.6865005271832185f, 6.7004397181410917f, 6.7142455176661224f, 6.7279204545631988f, 6.7414669864011465f, 6.7548875021634691f, 6.7681843247769260f, 6.7813597135246599f, 6.7944158663501062f, 6.8073549220576037f, 6.8201789624151887f, 6.8328900141647422f, 6.8454900509443757f, 6.8579809951275719f, 6.8703647195834048f, 6.8826430493618416f, 6.8948177633079437f, 6.9068905956085187f, 6.9188632372745955f, 6.9307373375628867f, 6.9425145053392399f, 6.9541963103868758f, 6.9657842846620879f, 6.9772799234999168f, 6.9886846867721664f, 7.0000000000000000f, 7.0112272554232540f, 7.0223678130284544f, 7.0334230015374501f, 7.0443941193584534f, 7.0552824355011898f, 7.0660891904577721f, 7.0768155970508317f, 7.0874628412503400f, 7.0980320829605272f, 7.1085244567781700f, 7.1189410727235076f, 7.1292830169449664f, 7.1395513523987937f, 7.1497471195046822f, 7.1598713367783891f, 7.1699250014423130f, 7.1799090900149345f, 7.1898245588800176f, 7.1996723448363644f, 7.2094533656289492f, 7.2191685204621621f, 7.2288186904958804f, 7.2384047393250794f, 7.2479275134435861f, 7.2573878426926521f, 7.2667865406949019f, 7.2761244052742384f, 7.2854022188622487f, 7.2946207488916270f, 7.3037807481771031f, 7.3128829552843557f, 7.3219280948873617f, 7.3309168781146177f, 7.3398500028846243f, 7.3487281542310781f, 7.3575520046180847f, 7.3663222142458151f, 7.3750394313469254f, 7.3837042924740528f, 7.3923174227787607f, 7.4008794362821844f, 7.4093909361377026f, 7.4178525148858991f, 7.4262647547020979f, 7.4346282276367255f, 7.4429434958487288f, 7.4512111118323299f, 7.4594316186372973f, 7.4676055500829976f, 7.4757334309663976f, 7.4838157772642564f, 7.4918530963296748f, 7.4998458870832057f, 7.5077946401986964f, 7.5156998382840436f, 7.5235619560570131f, 7.5313814605163119f, 7.5391588111080319f, 7.5468944598876373f, 7.5545888516776376f, 7.5622424242210728f, 7.5698556083309478f, 7.5774288280357487f, 7.5849625007211561f, 7.5924570372680806f, 7.5999128421871278f, 7.6073303137496113f, 7.6147098441152075f, 7.6220518194563764f, 7.6293566200796095f, 7.6366246205436488f, 7.6438561897747244f, 7.6510516911789290f, 7.6582114827517955f, 7.6653359171851765f, 7.6724253419714952f, 7.6794800995054464f, 7.6865005271832185f, 7.6934869574993252f, 7.7004397181410926f, 7.7073591320808825f, 7.7142455176661224f, 7.7210991887071856f, 7.7279204545631996f, 7.7347096202258392f, 7.7414669864011465f, 7.7481928495894596f, 7.7548875021634691f, 7.7615512324444795f, 7.7681843247769260f, 7.7747870596011737f, 7.7813597135246608f, 7.7879025593914317f, 7.7944158663501062f, 7.8008998999203047f, 7.8073549220576037f, 7.8137811912170374f, 7.8201789624151887f, 7.8265484872909159f, 7.8328900141647422f, 7.8392037880969445f, 7.8454900509443757f, 7.8517490414160571f, 7.8579809951275719f, 7.8641861446542798f, 7.8703647195834048f, 7.8765169465650002f, 7.8826430493618425f, 7.8887432488982601f, 7.8948177633079446f, 7.9008668079807496f, 7.9068905956085187f, 7.9128893362299619f, 7.9188632372745955f, 7.9248125036057813f, 7.9307373375628867f, 7.9366379390025719f, 7.9425145053392399f, 7.9483672315846778f, 7.9541963103868758f, 7.9600019320680806f, 7.9657842846620870f, 7.9715435539507720f, 7.9772799234999168f, 7.9829935746943104f, 7.9886846867721664f, 7.9943534368588578f }; #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/fast_log.h0000644000175000017500000000316214606651213017457 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Utilities for fast computation of logarithms. */ #ifndef BROTLI_ENC_FAST_LOG_H_ #define BROTLI_ENC_FAST_LOG_H_ #include #include #include "../common/platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif static BROTLI_INLINE uint32_t Log2FloorNonZero(size_t n) { #if defined(BROTLI_BSR32) return BROTLI_BSR32((uint32_t)n); #else uint32_t result = 0; while (n >>= 1) result++; return result; #endif } #define BROTLI_LOG2_TABLE_SIZE 256 /* A lookup table for small values of log2(int) to be used in entropy computation. */ BROTLI_INTERNAL extern const double kBrotliLog2Table[BROTLI_LOG2_TABLE_SIZE]; /* Visual Studio 2012 and Android API levels < 18 do not have the log2() * function defined, so we use log() and a multiplication instead. */ #if !defined(BROTLI_HAVE_LOG2) #if ((defined(_MSC_VER) && _MSC_VER <= 1700) || \ (defined(__ANDROID_API__) && __ANDROID_API__ < 18)) #define BROTLI_HAVE_LOG2 0 #else #define BROTLI_HAVE_LOG2 1 #endif #endif #define LOG_2_INV 1.4426950408889634 /* Faster logarithm for small integers, with the property of log2(0) == 0. */ static BROTLI_INLINE double FastLog2(size_t v) { if (v < BROTLI_LOG2_TABLE_SIZE) { return kBrotliLog2Table[v]; } #if !(BROTLI_HAVE_LOG2) return log((double)v) * LOG_2_INV; #else return log2((double)v); #endif } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_FAST_LOG_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/block_splitter.h0000644000175000017500000000321214606651213020675 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Block split point selection utilities. */ #ifndef BROTLI_ENC_BLOCK_SPLITTER_H_ #define BROTLI_ENC_BLOCK_SPLITTER_H_ #include #include "../common/platform.h" #include "command.h" #include "memory.h" #include "quality.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif typedef struct BlockSplit { size_t num_types; /* Amount of distinct types */ size_t num_blocks; /* Amount of values in types and length */ uint8_t* types; uint32_t* lengths; size_t types_alloc_size; size_t lengths_alloc_size; } BlockSplit; BROTLI_INTERNAL void BrotliInitBlockSplit(BlockSplit* self); BROTLI_INTERNAL void BrotliDestroyBlockSplit(MemoryManager* m, BlockSplit* self); BROTLI_INTERNAL void BrotliSplitBlock(MemoryManager* m, const Command* cmds, const size_t num_commands, const uint8_t* data, const size_t offset, const size_t mask, const BrotliEncoderParams* params, BlockSplit* literal_split, BlockSplit* insert_and_copy_split, BlockSplit* dist_split); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_BLOCK_SPLITTER_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/dictionary_hash.h0000644000175000017500000000120614606651213021026 0ustar timtim/* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Hash table on the 4-byte prefixes of static dictionary words. */ #ifndef BROTLI_ENC_DICTIONARY_HASH_H_ #define BROTLI_ENC_DICTIONARY_HASH_H_ #include #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif extern const uint16_t kStaticDictionaryHashWords[32768]; extern const uint8_t kStaticDictionaryHashLengths[32768]; #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_DICTIONARY_HASH_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/hash.h0000644000175000017500000005722614606651213016616 0ustar timtim/* Copyright 2010 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* A (forgetful) hash table to the data seen by the compressor, to help create backward references to previous data. */ #ifndef BROTLI_ENC_HASH_H_ #define BROTLI_ENC_HASH_H_ #include /* exit */ #include /* memcmp, memset */ #include #include "../common/constants.h" #include "../common/dictionary.h" #include "../common/platform.h" #include "compound_dictionary.h" #include "encoder_dict.h" #include "fast_log.h" #include "find_match_length.h" #include "memory.h" #include "quality.h" #include "static_dict.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif typedef struct { /** * Dynamically allocated areas; regular hasher uses one or two allocations; * "composite" hasher uses up to 4 allocations. */ void* extra[4]; /** * False before the fisrt invocation of HasherSetup (where "extra" memory) * is allocated. */ BROTLI_BOOL is_setup_; size_t dict_num_lookups; size_t dict_num_matches; BrotliHasherParams params; /** * False if hasher needs to be "prepared" before use (before the first * invocation of HasherSetup or after HasherReset). "preparation" is hasher * data initialization (using input ringbuffer). */ BROTLI_BOOL is_prepared_; } HasherCommon; #define score_t size_t static const uint32_t kCutoffTransformsCount = 10; /* 0, 12, 27, 23, 42, 63, 56, 48, 59, 64 */ /* 0+0, 4+8, 8+19, 12+11, 16+26, 20+43, 24+32, 28+20, 32+27, 36+28 */ static const uint64_t kCutoffTransforms = BROTLI_MAKE_UINT64_T(0x071B520A, 0xDA2D3200); typedef struct HasherSearchResult { size_t len; size_t distance; score_t score; int len_code_delta; /* == len_code - len */ } HasherSearchResult; /* kHashMul32 multiplier has these properties: * The multiplier must be odd. Otherwise we may lose the highest bit. * No long streaks of ones or zeros. * There is no effort to ensure that it is a prime, the oddity is enough for this use. * The number has been tuned heuristically against compression benchmarks. */ static const uint32_t kHashMul32 = 0x1E35A7BD; static const uint64_t kHashMul64 = BROTLI_MAKE_UINT64_T(0x1FE35A7Bu, 0xD3579BD3u); static BROTLI_INLINE uint32_t Hash14(const uint8_t* data) { uint32_t h = BROTLI_UNALIGNED_LOAD32LE(data) * kHashMul32; /* The higher bits contain more mixture from the multiplication, so we take our results from there. */ return h >> (32 - 14); } static BROTLI_INLINE void PrepareDistanceCache( int* BROTLI_RESTRICT distance_cache, const int num_distances) { if (num_distances > 4) { int last_distance = distance_cache[0]; distance_cache[4] = last_distance - 1; distance_cache[5] = last_distance + 1; distance_cache[6] = last_distance - 2; distance_cache[7] = last_distance + 2; distance_cache[8] = last_distance - 3; distance_cache[9] = last_distance + 3; if (num_distances > 10) { int next_last_distance = distance_cache[1]; distance_cache[10] = next_last_distance - 1; distance_cache[11] = next_last_distance + 1; distance_cache[12] = next_last_distance - 2; distance_cache[13] = next_last_distance + 2; distance_cache[14] = next_last_distance - 3; distance_cache[15] = next_last_distance + 3; } } } #define BROTLI_LITERAL_BYTE_SCORE 135 #define BROTLI_DISTANCE_BIT_PENALTY 30 /* Score must be positive after applying maximal penalty. */ #define BROTLI_SCORE_BASE (BROTLI_DISTANCE_BIT_PENALTY * 8 * sizeof(size_t)) /* Usually, we always choose the longest backward reference. This function allows for the exception of that rule. If we choose a backward reference that is further away, it will usually be coded with more bits. We approximate this by assuming log2(distance). If the distance can be expressed in terms of the last four distances, we use some heuristic constants to estimate the bits cost. For the first up to four literals we use the bit cost of the literals from the literal cost model, after that we use the average bit cost of the cost model. This function is used to sometimes discard a longer backward reference when it is not much longer and the bit cost for encoding it is more than the saved literals. backward_reference_offset MUST be positive. */ static BROTLI_INLINE score_t BackwardReferenceScore( size_t copy_length, size_t backward_reference_offset) { return BROTLI_SCORE_BASE + BROTLI_LITERAL_BYTE_SCORE * (score_t)copy_length - BROTLI_DISTANCE_BIT_PENALTY * Log2FloorNonZero(backward_reference_offset); } static BROTLI_INLINE score_t BackwardReferenceScoreUsingLastDistance( size_t copy_length) { return BROTLI_LITERAL_BYTE_SCORE * (score_t)copy_length + BROTLI_SCORE_BASE + 15; } static BROTLI_INLINE score_t BackwardReferencePenaltyUsingLastDistance( size_t distance_short_code) { return (score_t)39 + ((0x1CA10 >> (distance_short_code & 0xE)) & 0xE); } static BROTLI_INLINE BROTLI_BOOL TestStaticDictionaryItem( const BrotliEncoderDictionary* dictionary, size_t len, size_t word_idx, const uint8_t* data, size_t max_length, size_t max_backward, size_t max_distance, HasherSearchResult* out) { size_t offset; size_t matchlen; size_t backward; score_t score; offset = dictionary->words->offsets_by_length[len] + len * word_idx; if (len > max_length) { return BROTLI_FALSE; } matchlen = FindMatchLengthWithLimit(data, &dictionary->words->data[offset], len); if (matchlen + dictionary->cutoffTransformsCount <= len || matchlen == 0) { return BROTLI_FALSE; } { size_t cut = len - matchlen; size_t transform_id = (cut << 2) + (size_t)((dictionary->cutoffTransforms >> (cut * 6)) & 0x3F); backward = max_backward + 1 + word_idx + (transform_id << dictionary->words->size_bits_by_length[len]); } if (backward > max_distance) { return BROTLI_FALSE; } score = BackwardReferenceScore(matchlen, backward); if (score < out->score) { return BROTLI_FALSE; } out->len = matchlen; out->len_code_delta = (int)len - (int)matchlen; out->distance = backward; out->score = score; return BROTLI_TRUE; } static BROTLI_INLINE void SearchInStaticDictionary( const BrotliEncoderDictionary* dictionary, HasherCommon* common, const uint8_t* data, size_t max_length, size_t max_backward, size_t max_distance, HasherSearchResult* out, BROTLI_BOOL shallow) { size_t key; size_t i; if (common->dict_num_matches < (common->dict_num_lookups >> 7)) { return; } key = Hash14(data) << 1; for (i = 0; i < (shallow ? 1u : 2u); ++i, ++key) { common->dict_num_lookups++; if (dictionary->hash_table_lengths[key] != 0) { BROTLI_BOOL item_matches = TestStaticDictionaryItem( dictionary, dictionary->hash_table_lengths[key], dictionary->hash_table_words[key], data, max_length, max_backward, max_distance, out); if (item_matches) { common->dict_num_matches++; } } } } typedef struct BackwardMatch { uint32_t distance; uint32_t length_and_code; } BackwardMatch; static BROTLI_INLINE void InitBackwardMatch(BackwardMatch* self, size_t dist, size_t len) { self->distance = (uint32_t)dist; self->length_and_code = (uint32_t)(len << 5); } static BROTLI_INLINE void InitDictionaryBackwardMatch(BackwardMatch* self, size_t dist, size_t len, size_t len_code) { self->distance = (uint32_t)dist; self->length_and_code = (uint32_t)((len << 5) | (len == len_code ? 0 : len_code)); } static BROTLI_INLINE size_t BackwardMatchLength(const BackwardMatch* self) { return self->length_and_code >> 5; } static BROTLI_INLINE size_t BackwardMatchLengthCode(const BackwardMatch* self) { size_t code = self->length_and_code & 31; return code ? code : BackwardMatchLength(self); } #define EXPAND_CAT(a, b) CAT(a, b) #define CAT(a, b) a ## b #define FN(X) EXPAND_CAT(X, HASHER()) #define HASHER() H10 #define BUCKET_BITS 17 #define MAX_TREE_SEARCH_DEPTH 64 #define MAX_TREE_COMP_LENGTH 128 #include "hash_to_binary_tree_inc.h" /* NOLINT(build/include) */ #undef MAX_TREE_SEARCH_DEPTH #undef MAX_TREE_COMP_LENGTH #undef BUCKET_BITS #undef HASHER /* MAX_NUM_MATCHES == 64 + MAX_TREE_SEARCH_DEPTH */ #define MAX_NUM_MATCHES_H10 128 /* For BUCKET_SWEEP_BITS == 0, enabling the dictionary lookup makes compression a little faster (0.5% - 1%) and it compresses 0.15% better on small text and HTML inputs. */ #define HASHER() H2 #define BUCKET_BITS 16 #define BUCKET_SWEEP_BITS 0 #define HASH_LEN 5 #define USE_DICTIONARY 1 #include "hash_longest_match_quickly_inc.h" /* NOLINT(build/include) */ #undef BUCKET_SWEEP_BITS #undef USE_DICTIONARY #undef HASHER #define HASHER() H3 #define BUCKET_SWEEP_BITS 1 #define USE_DICTIONARY 0 #include "hash_longest_match_quickly_inc.h" /* NOLINT(build/include) */ #undef USE_DICTIONARY #undef BUCKET_SWEEP_BITS #undef BUCKET_BITS #undef HASHER #define HASHER() H4 #define BUCKET_BITS 17 #define BUCKET_SWEEP_BITS 2 #define USE_DICTIONARY 1 #include "hash_longest_match_quickly_inc.h" /* NOLINT(build/include) */ #undef USE_DICTIONARY #undef HASH_LEN #undef BUCKET_SWEEP_BITS #undef BUCKET_BITS #undef HASHER #define HASHER() H5 #include "hash_longest_match_inc.h" /* NOLINT(build/include) */ #undef HASHER #define HASHER() H6 #include "hash_longest_match64_inc.h" /* NOLINT(build/include) */ #undef HASHER #define BUCKET_BITS 15 #define NUM_LAST_DISTANCES_TO_CHECK 4 #define NUM_BANKS 1 #define BANK_BITS 16 #define HASHER() H40 #include "hash_forgetful_chain_inc.h" /* NOLINT(build/include) */ #undef HASHER #undef NUM_LAST_DISTANCES_TO_CHECK #define NUM_LAST_DISTANCES_TO_CHECK 10 #define HASHER() H41 #include "hash_forgetful_chain_inc.h" /* NOLINT(build/include) */ #undef HASHER #undef NUM_LAST_DISTANCES_TO_CHECK #undef NUM_BANKS #undef BANK_BITS #define NUM_LAST_DISTANCES_TO_CHECK 16 #define NUM_BANKS 512 #define BANK_BITS 9 #define HASHER() H42 #include "hash_forgetful_chain_inc.h" /* NOLINT(build/include) */ #undef HASHER #undef NUM_LAST_DISTANCES_TO_CHECK #undef NUM_BANKS #undef BANK_BITS #undef BUCKET_BITS #define HASHER() H54 #define BUCKET_BITS 20 #define BUCKET_SWEEP_BITS 2 #define HASH_LEN 7 #define USE_DICTIONARY 0 #include "hash_longest_match_quickly_inc.h" /* NOLINT(build/include) */ #undef USE_DICTIONARY #undef HASH_LEN #undef BUCKET_SWEEP_BITS #undef BUCKET_BITS #undef HASHER /* fast large window hashers */ #define HASHER() HROLLING_FAST #define CHUNKLEN 32 #define JUMP 4 #define NUMBUCKETS 16777216 #define MASK ((NUMBUCKETS * 64) - 1) #include "hash_rolling_inc.h" /* NOLINT(build/include) */ #undef JUMP #undef HASHER #define HASHER() HROLLING #define JUMP 1 #include "hash_rolling_inc.h" /* NOLINT(build/include) */ #undef MASK #undef NUMBUCKETS #undef JUMP #undef CHUNKLEN #undef HASHER #define HASHER() H35 #define HASHER_A H3 #define HASHER_B HROLLING_FAST #include "hash_composite_inc.h" /* NOLINT(build/include) */ #undef HASHER_A #undef HASHER_B #undef HASHER #define HASHER() H55 #define HASHER_A H54 #define HASHER_B HROLLING_FAST #include "hash_composite_inc.h" /* NOLINT(build/include) */ #undef HASHER_A #undef HASHER_B #undef HASHER #define HASHER() H65 #define HASHER_A H6 #define HASHER_B HROLLING #include "hash_composite_inc.h" /* NOLINT(build/include) */ #undef HASHER_A #undef HASHER_B #undef HASHER #undef FN #undef CAT #undef EXPAND_CAT #define FOR_SIMPLE_HASHERS(H) H(2) H(3) H(4) H(5) H(6) H(40) H(41) H(42) H(54) #define FOR_COMPOSITE_HASHERS(H) H(35) H(55) H(65) #define FOR_GENERIC_HASHERS(H) FOR_SIMPLE_HASHERS(H) FOR_COMPOSITE_HASHERS(H) #define FOR_ALL_HASHERS(H) FOR_GENERIC_HASHERS(H) H(10) typedef struct { HasherCommon common; union { #define MEMBER_(N) \ H ## N _H ## N; FOR_ALL_HASHERS(MEMBER_) #undef MEMBER_ } privat; } Hasher; /* MUST be invoked before any other method. */ static BROTLI_INLINE void HasherInit(Hasher* hasher) { hasher->common.is_setup_ = BROTLI_FALSE; hasher->common.extra[0] = NULL; hasher->common.extra[1] = NULL; hasher->common.extra[2] = NULL; hasher->common.extra[3] = NULL; } static BROTLI_INLINE void DestroyHasher(MemoryManager* m, Hasher* hasher) { if (hasher->common.extra[0] != NULL) BROTLI_FREE(m, hasher->common.extra[0]); if (hasher->common.extra[1] != NULL) BROTLI_FREE(m, hasher->common.extra[1]); if (hasher->common.extra[2] != NULL) BROTLI_FREE(m, hasher->common.extra[2]); if (hasher->common.extra[3] != NULL) BROTLI_FREE(m, hasher->common.extra[3]); } static BROTLI_INLINE void HasherReset(Hasher* hasher) { hasher->common.is_prepared_ = BROTLI_FALSE; } static BROTLI_INLINE void HasherSize(const BrotliEncoderParams* params, BROTLI_BOOL one_shot, const size_t input_size, size_t* alloc_size) { switch (params->hasher.type) { #define SIZE_(N) \ case N: \ HashMemAllocInBytesH ## N(params, one_shot, input_size, alloc_size); \ break; FOR_ALL_HASHERS(SIZE_) #undef SIZE_ default: break; } } static BROTLI_INLINE void HasherSetup(MemoryManager* m, Hasher* hasher, BrotliEncoderParams* params, const uint8_t* data, size_t position, size_t input_size, BROTLI_BOOL is_last) { BROTLI_BOOL one_shot = (position == 0 && is_last); if (!hasher->common.is_setup_) { size_t alloc_size[4] = {0}; size_t i; ChooseHasher(params, ¶ms->hasher); hasher->common.params = params->hasher; hasher->common.dict_num_lookups = 0; hasher->common.dict_num_matches = 0; HasherSize(params, one_shot, input_size, alloc_size); for (i = 0; i < 4; ++i) { if (alloc_size[i] == 0) continue; hasher->common.extra[i] = BROTLI_ALLOC(m, uint8_t, alloc_size[i]); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(hasher->common.extra[i])) return; } switch (hasher->common.params.type) { #define INITIALIZE_(N) \ case N: \ InitializeH ## N(&hasher->common, \ &hasher->privat._H ## N, params); \ break; FOR_ALL_HASHERS(INITIALIZE_); #undef INITIALIZE_ default: break; } HasherReset(hasher); hasher->common.is_setup_ = BROTLI_TRUE; } if (!hasher->common.is_prepared_) { switch (hasher->common.params.type) { #define PREPARE_(N) \ case N: \ PrepareH ## N( \ &hasher->privat._H ## N, \ one_shot, input_size, data); \ break; FOR_ALL_HASHERS(PREPARE_) #undef PREPARE_ default: break; } hasher->common.is_prepared_ = BROTLI_TRUE; } } static BROTLI_INLINE void InitOrStitchToPreviousBlock( MemoryManager* m, Hasher* hasher, const uint8_t* data, size_t mask, BrotliEncoderParams* params, size_t position, size_t input_size, BROTLI_BOOL is_last) { HasherSetup(m, hasher, params, data, position, input_size, is_last); if (BROTLI_IS_OOM(m)) return; switch (hasher->common.params.type) { #define INIT_(N) \ case N: \ StitchToPreviousBlockH ## N( \ &hasher->privat._H ## N, \ input_size, position, data, mask); \ break; FOR_ALL_HASHERS(INIT_) #undef INIT_ default: break; } } /* NB: when seamless dictionary-ring-buffer copies are implemented, don't forget to add proper guards for non-zero-BROTLI_PARAM_STREAM_OFFSET. */ static BROTLI_INLINE void FindCompoundDictionaryMatch( const PreparedDictionary* self, const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, const int* BROTLI_RESTRICT distance_cache, const size_t cur_ix, const size_t max_length, const size_t distance_offset, const size_t max_distance, HasherSearchResult* BROTLI_RESTRICT out) { const uint32_t source_size = self->source_size; const size_t boundary = distance_offset - source_size; const uint32_t hash_bits = self->hash_bits; const uint32_t bucket_bits = self->bucket_bits; const uint32_t slot_bits = self->slot_bits; const uint32_t hash_shift = 64u - bucket_bits; const uint32_t slot_mask = (~((uint32_t)0U)) >> (32 - slot_bits); const uint64_t hash_mask = (~((uint64_t)0U)) >> (64 - hash_bits); const uint32_t* slot_offsets = (uint32_t*)(&self[1]); const uint16_t* heads = (uint16_t*)(&slot_offsets[1u << slot_bits]); const uint32_t* items = (uint32_t*)(&heads[1u << bucket_bits]); const uint8_t* source = NULL; const size_t cur_ix_masked = cur_ix & ring_buffer_mask; score_t best_score = out->score; size_t best_len = out->len; size_t i; const uint64_t h = (BROTLI_UNALIGNED_LOAD64LE(&data[cur_ix_masked]) & hash_mask) * kPreparedDictionaryHashMul64Long; const uint32_t key = (uint32_t)(h >> hash_shift); const uint32_t slot = key & slot_mask; const uint32_t head = heads[key]; const uint32_t* BROTLI_RESTRICT chain = &items[slot_offsets[slot] + head]; uint32_t item = (head == 0xFFFF) ? 1 : 0; const void* tail = (void*)&items[self->num_items]; if (self->magic == kPreparedDictionaryMagic) { source = (const uint8_t*)tail; } else { /* kLeanPreparedDictionaryMagic */ source = (const uint8_t*)BROTLI_UNALIGNED_LOAD_PTR((const uint8_t**)tail); } for (i = 0; i < 4; ++i) { const size_t distance = (size_t)distance_cache[i]; size_t offset; size_t limit; size_t len; if (distance <= boundary || distance > distance_offset) continue; offset = distance_offset - distance; limit = source_size - offset; limit = limit > max_length ? max_length : limit; len = FindMatchLengthWithLimit(&source[offset], &data[cur_ix_masked], limit); if (len >= 2) { score_t score = BackwardReferenceScoreUsingLastDistance(len); if (best_score < score) { if (i != 0) score -= BackwardReferencePenaltyUsingLastDistance(i); if (best_score < score) { best_score = score; if (len > best_len) best_len = len; out->len = len; out->len_code_delta = 0; out->distance = distance; out->score = best_score; } } } } while (item == 0) { size_t offset; size_t distance; size_t limit; item = *chain; chain++; offset = item & 0x7FFFFFFF; item &= 0x80000000; distance = distance_offset - offset; limit = source_size - offset; limit = (limit > max_length) ? max_length : limit; if (distance > max_distance) continue; if (cur_ix_masked + best_len > ring_buffer_mask || best_len >= limit || data[cur_ix_masked + best_len] != source[offset + best_len]) { continue; } { const size_t len = FindMatchLengthWithLimit(&source[offset], &data[cur_ix_masked], limit); if (len >= 4) { score_t score = BackwardReferenceScore(len, distance); if (best_score < score) { best_score = score; best_len = len; out->len = best_len; out->len_code_delta = 0; out->distance = distance; out->score = best_score; } } } } } /* NB: when seamless dictionary-ring-buffer copies are implemented, don't forget to add proper guards for non-zero-BROTLI_PARAM_STREAM_OFFSET. */ static BROTLI_INLINE size_t FindAllCompoundDictionaryMatches( const PreparedDictionary* self, const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, const size_t cur_ix, const size_t min_length, const size_t max_length, const size_t distance_offset, const size_t max_distance, BackwardMatch* matches, size_t match_limit) { const uint32_t source_size = self->source_size; const uint32_t hash_bits = self->hash_bits; const uint32_t bucket_bits = self->bucket_bits; const uint32_t slot_bits = self->slot_bits; const uint32_t hash_shift = 64u - bucket_bits; const uint32_t slot_mask = (~((uint32_t)0U)) >> (32 - slot_bits); const uint64_t hash_mask = (~((uint64_t)0U)) >> (64 - hash_bits); const uint32_t* slot_offsets = (uint32_t*)(&self[1]); const uint16_t* heads = (uint16_t*)(&slot_offsets[1u << slot_bits]); const uint32_t* items = (uint32_t*)(&heads[1u << bucket_bits]); const uint8_t* source = NULL; const size_t cur_ix_masked = cur_ix & ring_buffer_mask; size_t best_len = min_length; const uint64_t h = (BROTLI_UNALIGNED_LOAD64LE(&data[cur_ix_masked]) & hash_mask) * kPreparedDictionaryHashMul64Long; const uint32_t key = (uint32_t)(h >> hash_shift); const uint32_t slot = key & slot_mask; const uint32_t head = heads[key]; const uint32_t* BROTLI_RESTRICT chain = &items[slot_offsets[slot] + head]; uint32_t item = (head == 0xFFFF) ? 1 : 0; size_t found = 0; const void* tail = (void*)&items[self->num_items]; if (self->magic == kPreparedDictionaryMagic) { source = (const uint8_t*)tail; } else { /* kLeanPreparedDictionaryMagic */ source = (const uint8_t*)BROTLI_UNALIGNED_LOAD_PTR((const uint8_t**)tail); } while (item == 0) { size_t offset; size_t distance; size_t limit; size_t len; item = *chain; chain++; offset = item & 0x7FFFFFFF; item &= 0x80000000; distance = distance_offset - offset; limit = source_size - offset; limit = (limit > max_length) ? max_length : limit; if (distance > max_distance) continue; if (cur_ix_masked + best_len > ring_buffer_mask || best_len >= limit || data[cur_ix_masked + best_len] != source[offset + best_len]) { continue; } len = FindMatchLengthWithLimit( &source[offset], &data[cur_ix_masked], limit); if (len > best_len) { best_len = len; InitBackwardMatch(matches++, distance, len); found++; if (found == match_limit) break; } } return found; } static BROTLI_INLINE void LookupCompoundDictionaryMatch( const CompoundDictionary* addon, const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, const int* BROTLI_RESTRICT distance_cache, const size_t cur_ix, const size_t max_length, const size_t max_ring_buffer_distance, const size_t max_distance, HasherSearchResult* sr) { size_t base_offset = max_ring_buffer_distance + 1 + addon->total_size - 1; size_t d; for (d = 0; d < addon->num_chunks; ++d) { /* Only one prepared dictionary type is currently supported. */ FindCompoundDictionaryMatch( (const PreparedDictionary*)addon->chunks[d], data, ring_buffer_mask, distance_cache, cur_ix, max_length, base_offset - addon->chunk_offsets[d], max_distance, sr); } } static BROTLI_INLINE size_t LookupAllCompoundDictionaryMatches( const CompoundDictionary* addon, const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, const size_t cur_ix, size_t min_length, const size_t max_length, const size_t max_ring_buffer_distance, const size_t max_distance, BackwardMatch* matches, size_t match_limit) { size_t base_offset = max_ring_buffer_distance + 1 + addon->total_size - 1; size_t d; size_t total_found = 0; for (d = 0; d < addon->num_chunks; ++d) { /* Only one prepared dictionary type is currently supported. */ total_found += FindAllCompoundDictionaryMatches( (const PreparedDictionary*)addon->chunks[d], data, ring_buffer_mask, cur_ix, min_length, max_length, base_offset - addon->chunk_offsets[d], max_distance, matches + total_found, match_limit - total_found); if (total_found == match_limit) break; if (total_found > 0) { min_length = BackwardMatchLength(&matches[total_found - 1]); } } return total_found; } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_HASH_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/compress_fragment.c0000644000175000017500000010074714606651213021401 0ustar timtim/* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Function for fast encoding of an input fragment, independently from the input history. This function uses one-pass processing: when we find a backward match, we immediately emit the corresponding command and literal codes to the bit stream. Adapted from the CompressFragment() function in https://github.com/google/snappy/blob/master/snappy.cc */ #include "compress_fragment.h" #include /* memcmp, memcpy, memset */ #include #include "../common/platform.h" #include "brotli_bit_stream.h" #include "entropy_encode.h" #include "fast_log.h" #include "find_match_length.h" #include "write_bits.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #define MAX_DISTANCE (long)BROTLI_MAX_BACKWARD_LIMIT(18) /* kHashMul32 multiplier has these properties: * The multiplier must be odd. Otherwise we may lose the highest bit. * No long streaks of ones or zeros. * There is no effort to ensure that it is a prime, the oddity is enough for this use. * The number has been tuned heuristically against compression benchmarks. */ static const uint32_t kHashMul32 = 0x1E35A7BD; static BROTLI_INLINE uint32_t Hash(const uint8_t* p, size_t shift) { const uint64_t h = (BROTLI_UNALIGNED_LOAD64LE(p) << 24) * kHashMul32; return (uint32_t)(h >> shift); } static BROTLI_INLINE uint32_t HashBytesAtOffset( uint64_t v, int offset, size_t shift) { BROTLI_DCHECK(offset >= 0); BROTLI_DCHECK(offset <= 3); { const uint64_t h = ((v >> (8 * offset)) << 24) * kHashMul32; return (uint32_t)(h >> shift); } } static BROTLI_INLINE BROTLI_BOOL IsMatch(const uint8_t* p1, const uint8_t* p2) { return TO_BROTLI_BOOL( BrotliUnalignedRead32(p1) == BrotliUnalignedRead32(p2) && p1[4] == p2[4]); } /* Builds a literal prefix code into "depths" and "bits" based on the statistics of the "input" string and stores it into the bit stream. Note that the prefix code here is built from the pre-LZ77 input, therefore we can only approximate the statistics of the actual literal stream. Moreover, for long inputs we build a histogram from a sample of the input and thus have to assign a non-zero depth for each literal. Returns estimated compression ratio millibytes/char for encoding given input with generated code. */ static size_t BuildAndStoreLiteralPrefixCode(BrotliOnePassArena* s, const uint8_t* input, const size_t input_size, uint8_t depths[256], uint16_t bits[256], size_t* storage_ix, uint8_t* storage) { uint32_t* BROTLI_RESTRICT const histogram = s->histogram; size_t histogram_total; size_t i; memset(histogram, 0, sizeof(s->histogram)); if (input_size < (1 << 15)) { for (i = 0; i < input_size; ++i) { ++histogram[input[i]]; } histogram_total = input_size; for (i = 0; i < 256; ++i) { /* We weigh the first 11 samples with weight 3 to account for the balancing effect of the LZ77 phase on the histogram. */ const uint32_t adjust = 2 * BROTLI_MIN(uint32_t, histogram[i], 11u); histogram[i] += adjust; histogram_total += adjust; } } else { static const size_t kSampleRate = 29; for (i = 0; i < input_size; i += kSampleRate) { ++histogram[input[i]]; } histogram_total = (input_size + kSampleRate - 1) / kSampleRate; for (i = 0; i < 256; ++i) { /* We add 1 to each population count to avoid 0 bit depths (since this is only a sample and we don't know if the symbol appears or not), and we weigh the first 11 samples with weight 3 to account for the balancing effect of the LZ77 phase on the histogram (more frequent symbols are more likely to be in backward references instead as literals). */ const uint32_t adjust = 1 + 2 * BROTLI_MIN(uint32_t, histogram[i], 11u); histogram[i] += adjust; histogram_total += adjust; } } BrotliBuildAndStoreHuffmanTreeFast(s->tree, histogram, histogram_total, /* max_bits = */ 8, depths, bits, storage_ix, storage); { size_t literal_ratio = 0; for (i = 0; i < 256; ++i) { if (histogram[i]) literal_ratio += histogram[i] * depths[i]; } /* Estimated encoding ratio, millibytes per symbol. */ return (literal_ratio * 125) / histogram_total; } } /* Builds a command and distance prefix code (each 64 symbols) into "depth" and "bits" based on "histogram" and stores it into the bit stream. */ static void BuildAndStoreCommandPrefixCode(BrotliOnePassArena* s, size_t* storage_ix, uint8_t* storage) { const uint32_t* const histogram = s->cmd_histo; uint8_t* const depth = s->cmd_depth; uint16_t* const bits = s->cmd_bits; uint8_t* BROTLI_RESTRICT const tmp_depth = s->tmp_depth; uint16_t* BROTLI_RESTRICT const tmp_bits = s->tmp_bits; /* TODO(eustas): do only once on initialization. */ memset(tmp_depth, 0, BROTLI_NUM_COMMAND_SYMBOLS); BrotliCreateHuffmanTree(histogram, 64, 15, s->tree, depth); BrotliCreateHuffmanTree(&histogram[64], 64, 14, s->tree, &depth[64]); /* We have to jump through a few hoops here in order to compute the command bits because the symbols are in a different order than in the full alphabet. This looks complicated, but having the symbols in this order in the command bits saves a few branches in the Emit* functions. */ memcpy(tmp_depth, depth, 24); memcpy(tmp_depth + 24, depth + 40, 8); memcpy(tmp_depth + 32, depth + 24, 8); memcpy(tmp_depth + 40, depth + 48, 8); memcpy(tmp_depth + 48, depth + 32, 8); memcpy(tmp_depth + 56, depth + 56, 8); BrotliConvertBitDepthsToSymbols(tmp_depth, 64, tmp_bits); memcpy(bits, tmp_bits, 48); memcpy(bits + 24, tmp_bits + 32, 16); memcpy(bits + 32, tmp_bits + 48, 16); memcpy(bits + 40, tmp_bits + 24, 16); memcpy(bits + 48, tmp_bits + 40, 16); memcpy(bits + 56, tmp_bits + 56, 16); BrotliConvertBitDepthsToSymbols(&depth[64], 64, &bits[64]); { /* Create the bit length array for the full command alphabet. */ size_t i; memset(tmp_depth, 0, 64); /* only 64 first values were used */ memcpy(tmp_depth, depth, 8); memcpy(tmp_depth + 64, depth + 8, 8); memcpy(tmp_depth + 128, depth + 16, 8); memcpy(tmp_depth + 192, depth + 24, 8); memcpy(tmp_depth + 384, depth + 32, 8); for (i = 0; i < 8; ++i) { tmp_depth[128 + 8 * i] = depth[40 + i]; tmp_depth[256 + 8 * i] = depth[48 + i]; tmp_depth[448 + 8 * i] = depth[56 + i]; } /* TODO(eustas): could/should full-length machinery be avoided? */ BrotliStoreHuffmanTree( tmp_depth, BROTLI_NUM_COMMAND_SYMBOLS, s->tree, storage_ix, storage); } BrotliStoreHuffmanTree(&depth[64], 64, s->tree, storage_ix, storage); } /* REQUIRES: insertlen < 6210 */ static BROTLI_INLINE void EmitInsertLen(size_t insertlen, const uint8_t depth[128], const uint16_t bits[128], uint32_t histo[128], size_t* storage_ix, uint8_t* storage) { if (insertlen < 6) { const size_t code = insertlen + 40; BrotliWriteBits(depth[code], bits[code], storage_ix, storage); ++histo[code]; } else if (insertlen < 130) { const size_t tail = insertlen - 2; const uint32_t nbits = Log2FloorNonZero(tail) - 1u; const size_t prefix = tail >> nbits; const size_t inscode = (nbits << 1) + prefix + 42; BrotliWriteBits(depth[inscode], bits[inscode], storage_ix, storage); BrotliWriteBits(nbits, tail - (prefix << nbits), storage_ix, storage); ++histo[inscode]; } else if (insertlen < 2114) { const size_t tail = insertlen - 66; const uint32_t nbits = Log2FloorNonZero(tail); const size_t code = nbits + 50; BrotliWriteBits(depth[code], bits[code], storage_ix, storage); BrotliWriteBits(nbits, tail - ((size_t)1 << nbits), storage_ix, storage); ++histo[code]; } else { BrotliWriteBits(depth[61], bits[61], storage_ix, storage); BrotliWriteBits(12, insertlen - 2114, storage_ix, storage); ++histo[61]; } } static BROTLI_INLINE void EmitLongInsertLen(size_t insertlen, const uint8_t depth[128], const uint16_t bits[128], uint32_t histo[128], size_t* storage_ix, uint8_t* storage) { if (insertlen < 22594) { BrotliWriteBits(depth[62], bits[62], storage_ix, storage); BrotliWriteBits(14, insertlen - 6210, storage_ix, storage); ++histo[62]; } else { BrotliWriteBits(depth[63], bits[63], storage_ix, storage); BrotliWriteBits(24, insertlen - 22594, storage_ix, storage); ++histo[63]; } } static BROTLI_INLINE void EmitCopyLen(size_t copylen, const uint8_t depth[128], const uint16_t bits[128], uint32_t histo[128], size_t* storage_ix, uint8_t* storage) { if (copylen < 10) { BrotliWriteBits( depth[copylen + 14], bits[copylen + 14], storage_ix, storage); ++histo[copylen + 14]; } else if (copylen < 134) { const size_t tail = copylen - 6; const uint32_t nbits = Log2FloorNonZero(tail) - 1u; const size_t prefix = tail >> nbits; const size_t code = (nbits << 1) + prefix + 20; BrotliWriteBits(depth[code], bits[code], storage_ix, storage); BrotliWriteBits(nbits, tail - (prefix << nbits), storage_ix, storage); ++histo[code]; } else if (copylen < 2118) { const size_t tail = copylen - 70; const uint32_t nbits = Log2FloorNonZero(tail); const size_t code = nbits + 28; BrotliWriteBits(depth[code], bits[code], storage_ix, storage); BrotliWriteBits(nbits, tail - ((size_t)1 << nbits), storage_ix, storage); ++histo[code]; } else { BrotliWriteBits(depth[39], bits[39], storage_ix, storage); BrotliWriteBits(24, copylen - 2118, storage_ix, storage); ++histo[39]; } } static BROTLI_INLINE void EmitCopyLenLastDistance(size_t copylen, const uint8_t depth[128], const uint16_t bits[128], uint32_t histo[128], size_t* storage_ix, uint8_t* storage) { if (copylen < 12) { BrotliWriteBits(depth[copylen - 4], bits[copylen - 4], storage_ix, storage); ++histo[copylen - 4]; } else if (copylen < 72) { const size_t tail = copylen - 8; const uint32_t nbits = Log2FloorNonZero(tail) - 1; const size_t prefix = tail >> nbits; const size_t code = (nbits << 1) + prefix + 4; BrotliWriteBits(depth[code], bits[code], storage_ix, storage); BrotliWriteBits(nbits, tail - (prefix << nbits), storage_ix, storage); ++histo[code]; } else if (copylen < 136) { const size_t tail = copylen - 8; const size_t code = (tail >> 5) + 30; BrotliWriteBits(depth[code], bits[code], storage_ix, storage); BrotliWriteBits(5, tail & 31, storage_ix, storage); BrotliWriteBits(depth[64], bits[64], storage_ix, storage); ++histo[code]; ++histo[64]; } else if (copylen < 2120) { const size_t tail = copylen - 72; const uint32_t nbits = Log2FloorNonZero(tail); const size_t code = nbits + 28; BrotliWriteBits(depth[code], bits[code], storage_ix, storage); BrotliWriteBits(nbits, tail - ((size_t)1 << nbits), storage_ix, storage); BrotliWriteBits(depth[64], bits[64], storage_ix, storage); ++histo[code]; ++histo[64]; } else { BrotliWriteBits(depth[39], bits[39], storage_ix, storage); BrotliWriteBits(24, copylen - 2120, storage_ix, storage); BrotliWriteBits(depth[64], bits[64], storage_ix, storage); ++histo[39]; ++histo[64]; } } static BROTLI_INLINE void EmitDistance(size_t distance, const uint8_t depth[128], const uint16_t bits[128], uint32_t histo[128], size_t* storage_ix, uint8_t* storage) { const size_t d = distance + 3; const uint32_t nbits = Log2FloorNonZero(d) - 1u; const size_t prefix = (d >> nbits) & 1; const size_t offset = (2 + prefix) << nbits; const size_t distcode = 2 * (nbits - 1) + prefix + 80; BrotliWriteBits(depth[distcode], bits[distcode], storage_ix, storage); BrotliWriteBits(nbits, d - offset, storage_ix, storage); ++histo[distcode]; } static BROTLI_INLINE void EmitLiterals(const uint8_t* input, const size_t len, const uint8_t depth[256], const uint16_t bits[256], size_t* storage_ix, uint8_t* storage) { size_t j; for (j = 0; j < len; j++) { const uint8_t lit = input[j]; BrotliWriteBits(depth[lit], bits[lit], storage_ix, storage); } } /* REQUIRES: len <= 1 << 24. */ static void BrotliStoreMetaBlockHeader( size_t len, BROTLI_BOOL is_uncompressed, size_t* storage_ix, uint8_t* storage) { size_t nibbles = 6; /* ISLAST */ BrotliWriteBits(1, 0, storage_ix, storage); if (len <= (1U << 16)) { nibbles = 4; } else if (len <= (1U << 20)) { nibbles = 5; } BrotliWriteBits(2, nibbles - 4, storage_ix, storage); BrotliWriteBits(nibbles * 4, len - 1, storage_ix, storage); /* ISUNCOMPRESSED */ BrotliWriteBits(1, (uint64_t)is_uncompressed, storage_ix, storage); } static void UpdateBits(size_t n_bits, uint32_t bits, size_t pos, uint8_t* array) { while (n_bits > 0) { size_t byte_pos = pos >> 3; size_t n_unchanged_bits = pos & 7; size_t n_changed_bits = BROTLI_MIN(size_t, n_bits, 8 - n_unchanged_bits); size_t total_bits = n_unchanged_bits + n_changed_bits; uint32_t mask = (~((1u << total_bits) - 1u)) | ((1u << n_unchanged_bits) - 1u); uint32_t unchanged_bits = array[byte_pos] & mask; uint32_t changed_bits = bits & ((1u << n_changed_bits) - 1u); array[byte_pos] = (uint8_t)((changed_bits << n_unchanged_bits) | unchanged_bits); n_bits -= n_changed_bits; bits >>= n_changed_bits; pos += n_changed_bits; } } static void RewindBitPosition(const size_t new_storage_ix, size_t* storage_ix, uint8_t* storage) { const size_t bitpos = new_storage_ix & 7; const size_t mask = (1u << bitpos) - 1; storage[new_storage_ix >> 3] &= (uint8_t)mask; *storage_ix = new_storage_ix; } static BROTLI_BOOL ShouldMergeBlock(BrotliOnePassArena* s, const uint8_t* data, size_t len, const uint8_t* depths) { uint32_t* BROTLI_RESTRICT const histo = s->histogram; static const size_t kSampleRate = 43; size_t i; memset(histo, 0, sizeof(s->histogram)); for (i = 0; i < len; i += kSampleRate) { ++histo[data[i]]; } { const size_t total = (len + kSampleRate - 1) / kSampleRate; double r = (FastLog2(total) + 0.5) * (double)total + 200; for (i = 0; i < 256; ++i) { r -= (double)histo[i] * (depths[i] + FastLog2(histo[i])); } return TO_BROTLI_BOOL(r >= 0.0); } } /* Acceptable loss for uncompressible speedup is 2% */ #define MIN_RATIO 980 static BROTLI_INLINE BROTLI_BOOL ShouldUseUncompressedMode( const uint8_t* metablock_start, const uint8_t* next_emit, const size_t insertlen, const size_t literal_ratio) { const size_t compressed = (size_t)(next_emit - metablock_start); if (compressed * 50 > insertlen) { return BROTLI_FALSE; } else { return TO_BROTLI_BOOL(literal_ratio > MIN_RATIO); } } static void EmitUncompressedMetaBlock(const uint8_t* begin, const uint8_t* end, const size_t storage_ix_start, size_t* storage_ix, uint8_t* storage) { const size_t len = (size_t)(end - begin); RewindBitPosition(storage_ix_start, storage_ix, storage); BrotliStoreMetaBlockHeader(len, 1, storage_ix, storage); *storage_ix = (*storage_ix + 7u) & ~7u; memcpy(&storage[*storage_ix >> 3], begin, len); *storage_ix += len << 3; storage[*storage_ix >> 3] = 0; } static uint32_t kCmdHistoSeed[128] = { 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, }; static BROTLI_INLINE void BrotliCompressFragmentFastImpl( BrotliOnePassArena* s, const uint8_t* input, size_t input_size, BROTLI_BOOL is_last, int* table, size_t table_bits, size_t* storage_ix, uint8_t* storage) { uint8_t* BROTLI_RESTRICT const cmd_depth = s->cmd_depth; uint16_t* BROTLI_RESTRICT const cmd_bits = s->cmd_bits; uint32_t* BROTLI_RESTRICT const cmd_histo = s->cmd_histo; uint8_t* BROTLI_RESTRICT const lit_depth = s->lit_depth; uint16_t* BROTLI_RESTRICT const lit_bits = s->lit_bits; const uint8_t* ip_end; /* "next_emit" is a pointer to the first byte that is not covered by a previous copy. Bytes between "next_emit" and the start of the next copy or the end of the input will be emitted as literal bytes. */ const uint8_t* next_emit = input; /* Save the start of the first block for position and distance computations. */ const uint8_t* base_ip = input; static const size_t kFirstBlockSize = 3 << 15; static const size_t kMergeBlockSize = 1 << 16; const size_t kInputMarginBytes = BROTLI_WINDOW_GAP; const size_t kMinMatchLen = 5; const uint8_t* metablock_start = input; size_t block_size = BROTLI_MIN(size_t, input_size, kFirstBlockSize); size_t total_block_size = block_size; /* Save the bit position of the MLEN field of the meta-block header, so that we can update it later if we decide to extend this meta-block. */ size_t mlen_storage_ix = *storage_ix + 3; size_t literal_ratio; const uint8_t* ip; int last_distance; const size_t shift = 64u - table_bits; BrotliStoreMetaBlockHeader(block_size, 0, storage_ix, storage); /* No block splits, no contexts. */ BrotliWriteBits(13, 0, storage_ix, storage); literal_ratio = BuildAndStoreLiteralPrefixCode( s, input, block_size, s->lit_depth, s->lit_bits, storage_ix, storage); { /* Store the pre-compressed command and distance prefix codes. */ size_t i; for (i = 0; i + 7 < s->cmd_code_numbits; i += 8) { BrotliWriteBits(8, s->cmd_code[i >> 3], storage_ix, storage); } } BrotliWriteBits(s->cmd_code_numbits & 7, s->cmd_code[s->cmd_code_numbits >> 3], storage_ix, storage); emit_commands: /* Initialize the command and distance histograms. We will gather statistics of command and distance codes during the processing of this block and use it to update the command and distance prefix codes for the next block. */ memcpy(s->cmd_histo, kCmdHistoSeed, sizeof(kCmdHistoSeed)); /* "ip" is the input pointer. */ ip = input; last_distance = -1; ip_end = input + block_size; if (BROTLI_PREDICT_TRUE(block_size >= kInputMarginBytes)) { /* For the last block, we need to keep a 16 bytes margin so that we can be sure that all distances are at most window size - 16. For all other blocks, we only need to keep a margin of 5 bytes so that we don't go over the block size with a copy. */ const size_t len_limit = BROTLI_MIN(size_t, block_size - kMinMatchLen, input_size - kInputMarginBytes); const uint8_t* ip_limit = input + len_limit; uint32_t next_hash; for (next_hash = Hash(++ip, shift); ; ) { /* Step 1: Scan forward in the input looking for a 5-byte-long match. If we get close to exhausting the input then goto emit_remainder. Heuristic match skipping: If 32 bytes are scanned with no matches found, start looking only at every other byte. If 32 more bytes are scanned, look at every third byte, etc.. When a match is found, immediately go back to looking at every byte. This is a small loss (~5% performance, ~0.1% density) for compressible data due to more bookkeeping, but for non-compressible data (such as JPEG) it's a huge win since the compressor quickly "realizes" the data is incompressible and doesn't bother looking for matches everywhere. The "skip" variable keeps track of how many bytes there are since the last match; dividing it by 32 (i.e. right-shifting by five) gives the number of bytes to move ahead for each iteration. */ uint32_t skip = 32; const uint8_t* next_ip = ip; const uint8_t* candidate; BROTLI_DCHECK(next_emit < ip); trawl: do { uint32_t hash = next_hash; uint32_t bytes_between_hash_lookups = skip++ >> 5; BROTLI_DCHECK(hash == Hash(next_ip, shift)); ip = next_ip; next_ip = ip + bytes_between_hash_lookups; if (BROTLI_PREDICT_FALSE(next_ip > ip_limit)) { goto emit_remainder; } next_hash = Hash(next_ip, shift); candidate = ip - last_distance; if (IsMatch(ip, candidate)) { if (BROTLI_PREDICT_TRUE(candidate < ip)) { table[hash] = (int)(ip - base_ip); break; } } candidate = base_ip + table[hash]; BROTLI_DCHECK(candidate >= base_ip); BROTLI_DCHECK(candidate < ip); table[hash] = (int)(ip - base_ip); } while (BROTLI_PREDICT_TRUE(!IsMatch(ip, candidate))); /* Check copy distance. If candidate is not feasible, continue search. Checking is done outside of hot loop to reduce overhead. */ if (ip - candidate > MAX_DISTANCE) goto trawl; /* Step 2: Emit the found match together with the literal bytes from "next_emit" to the bit stream, and then see if we can find a next match immediately afterwards. Repeat until we find no match for the input without emitting some literal bytes. */ { /* We have a 5-byte match at ip, and we need to emit bytes in [next_emit, ip). */ const uint8_t* base = ip; size_t matched = 5 + FindMatchLengthWithLimit( candidate + 5, ip + 5, (size_t)(ip_end - ip) - 5); int distance = (int)(base - candidate); /* > 0 */ size_t insert = (size_t)(base - next_emit); ip += matched; BROTLI_LOG(("[CompressFragment] pos = %d insert = %lu copy = %d\n", (int)(next_emit - base_ip), (unsigned long)insert, 2)); BROTLI_DCHECK(0 == memcmp(base, candidate, matched)); if (BROTLI_PREDICT_TRUE(insert < 6210)) { EmitInsertLen(insert, cmd_depth, cmd_bits, cmd_histo, storage_ix, storage); } else if (ShouldUseUncompressedMode(metablock_start, next_emit, insert, literal_ratio)) { EmitUncompressedMetaBlock(metablock_start, base, mlen_storage_ix - 3, storage_ix, storage); input_size -= (size_t)(base - input); input = base; next_emit = input; goto next_block; } else { EmitLongInsertLen(insert, cmd_depth, cmd_bits, cmd_histo, storage_ix, storage); } EmitLiterals(next_emit, insert, lit_depth, lit_bits, storage_ix, storage); if (distance == last_distance) { BrotliWriteBits(cmd_depth[64], cmd_bits[64], storage_ix, storage); ++cmd_histo[64]; } else { EmitDistance((size_t)distance, cmd_depth, cmd_bits, cmd_histo, storage_ix, storage); last_distance = distance; } EmitCopyLenLastDistance(matched, cmd_depth, cmd_bits, cmd_histo, storage_ix, storage); BROTLI_LOG(("[CompressFragment] pos = %d distance = %d\n" "[CompressFragment] pos = %d insert = %d copy = %d\n" "[CompressFragment] pos = %d distance = %d\n", (int)(base - base_ip), (int)distance, (int)(base - base_ip) + 2, 0, (int)matched - 2, (int)(base - base_ip) + 2, (int)distance)); next_emit = ip; if (BROTLI_PREDICT_FALSE(ip >= ip_limit)) { goto emit_remainder; } /* We could immediately start working at ip now, but to improve compression we first update "table" with the hashes of some positions within the last copy. */ { uint64_t input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 3); uint32_t prev_hash = HashBytesAtOffset(input_bytes, 0, shift); uint32_t cur_hash = HashBytesAtOffset(input_bytes, 3, shift); table[prev_hash] = (int)(ip - base_ip - 3); prev_hash = HashBytesAtOffset(input_bytes, 1, shift); table[prev_hash] = (int)(ip - base_ip - 2); prev_hash = HashBytesAtOffset(input_bytes, 2, shift); table[prev_hash] = (int)(ip - base_ip - 1); candidate = base_ip + table[cur_hash]; table[cur_hash] = (int)(ip - base_ip); } } while (IsMatch(ip, candidate)) { /* We have a 5-byte match at ip, and no need to emit any literal bytes prior to ip. */ const uint8_t* base = ip; size_t matched = 5 + FindMatchLengthWithLimit( candidate + 5, ip + 5, (size_t)(ip_end - ip) - 5); if (ip - candidate > MAX_DISTANCE) break; ip += matched; last_distance = (int)(base - candidate); /* > 0 */ BROTLI_DCHECK(0 == memcmp(base, candidate, matched)); EmitCopyLen(matched, cmd_depth, cmd_bits, cmd_histo, storage_ix, storage); EmitDistance((size_t)last_distance, cmd_depth, cmd_bits, cmd_histo, storage_ix, storage); BROTLI_LOG(("[CompressFragment] pos = %d insert = %d copy = %d\n" "[CompressFragment] pos = %d distance = %d\n", (int)(base - base_ip), 0, (int)matched, (int)(base - base_ip), (int)last_distance)); next_emit = ip; if (BROTLI_PREDICT_FALSE(ip >= ip_limit)) { goto emit_remainder; } /* We could immediately start working at ip now, but to improve compression we first update "table" with the hashes of some positions within the last copy. */ { uint64_t input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 3); uint32_t prev_hash = HashBytesAtOffset(input_bytes, 0, shift); uint32_t cur_hash = HashBytesAtOffset(input_bytes, 3, shift); table[prev_hash] = (int)(ip - base_ip - 3); prev_hash = HashBytesAtOffset(input_bytes, 1, shift); table[prev_hash] = (int)(ip - base_ip - 2); prev_hash = HashBytesAtOffset(input_bytes, 2, shift); table[prev_hash] = (int)(ip - base_ip - 1); candidate = base_ip + table[cur_hash]; table[cur_hash] = (int)(ip - base_ip); } } next_hash = Hash(++ip, shift); } } emit_remainder: BROTLI_DCHECK(next_emit <= ip_end); input += block_size; input_size -= block_size; block_size = BROTLI_MIN(size_t, input_size, kMergeBlockSize); /* Decide if we want to continue this meta-block instead of emitting the last insert-only command. */ if (input_size > 0 && total_block_size + block_size <= (1 << 20) && ShouldMergeBlock(s, input, block_size, lit_depth)) { BROTLI_DCHECK(total_block_size > (1 << 16)); /* Update the size of the current meta-block and continue emitting commands. We can do this because the current size and the new size both have 5 nibbles. */ total_block_size += block_size; UpdateBits(20, (uint32_t)(total_block_size - 1), mlen_storage_ix, storage); goto emit_commands; } /* Emit the remaining bytes as literals. */ if (next_emit < ip_end) { const size_t insert = (size_t)(ip_end - next_emit); BROTLI_LOG(("[CompressFragment] pos = %d insert = %lu copy = %d\n", (int)(next_emit - base_ip), (unsigned long)insert, 2)); if (BROTLI_PREDICT_TRUE(insert < 6210)) { EmitInsertLen(insert, cmd_depth, cmd_bits, cmd_histo, storage_ix, storage); EmitLiterals(next_emit, insert, lit_depth, lit_bits, storage_ix, storage); } else if (ShouldUseUncompressedMode(metablock_start, next_emit, insert, literal_ratio)) { EmitUncompressedMetaBlock(metablock_start, ip_end, mlen_storage_ix - 3, storage_ix, storage); } else { EmitLongInsertLen(insert, cmd_depth, cmd_bits, cmd_histo, storage_ix, storage); EmitLiterals(next_emit, insert, lit_depth, lit_bits, storage_ix, storage); } } next_emit = ip_end; next_block: /* If we have more data, write a new meta-block header and prefix codes and then continue emitting commands. */ if (input_size > 0) { metablock_start = input; block_size = BROTLI_MIN(size_t, input_size, kFirstBlockSize); total_block_size = block_size; /* Save the bit position of the MLEN field of the meta-block header, so that we can update it later if we decide to extend this meta-block. */ mlen_storage_ix = *storage_ix + 3; BrotliStoreMetaBlockHeader(block_size, 0, storage_ix, storage); /* No block splits, no contexts. */ BrotliWriteBits(13, 0, storage_ix, storage); literal_ratio = BuildAndStoreLiteralPrefixCode( s, input, block_size, lit_depth, lit_bits, storage_ix, storage); BuildAndStoreCommandPrefixCode(s, storage_ix, storage); goto emit_commands; } if (!is_last) { /* If this is not the last block, update the command and distance prefix codes for the next block and store the compressed forms. */ s->cmd_code[0] = 0; s->cmd_code_numbits = 0; BuildAndStoreCommandPrefixCode(s, &s->cmd_code_numbits, s->cmd_code); } } #define FOR_TABLE_BITS_(X) X(9) X(11) X(13) X(15) #define BAKE_METHOD_PARAM_(B) \ static BROTLI_NOINLINE void BrotliCompressFragmentFastImpl ## B( \ BrotliOnePassArena* s, const uint8_t* input, size_t input_size, \ BROTLI_BOOL is_last, int* table, size_t* storage_ix, uint8_t* storage) { \ BrotliCompressFragmentFastImpl(s, input, input_size, is_last, table, B, \ storage_ix, storage); \ } FOR_TABLE_BITS_(BAKE_METHOD_PARAM_) #undef BAKE_METHOD_PARAM_ void BrotliCompressFragmentFast( BrotliOnePassArena* s, const uint8_t* input, size_t input_size, BROTLI_BOOL is_last, int* table, size_t table_size, size_t* storage_ix, uint8_t* storage) { const size_t initial_storage_ix = *storage_ix; const size_t table_bits = Log2FloorNonZero(table_size); if (input_size == 0) { BROTLI_DCHECK(is_last); BrotliWriteBits(1, 1, storage_ix, storage); /* islast */ BrotliWriteBits(1, 1, storage_ix, storage); /* isempty */ *storage_ix = (*storage_ix + 7u) & ~7u; return; } switch (table_bits) { #define CASE_(B) \ case B: \ BrotliCompressFragmentFastImpl ## B( \ s, input, input_size, is_last, table, storage_ix, storage);\ break; FOR_TABLE_BITS_(CASE_) #undef CASE_ default: BROTLI_DCHECK(0); break; } /* If output is larger than single uncompressed block, rewrite it. */ if (*storage_ix - initial_storage_ix > 31 + (input_size << 3)) { EmitUncompressedMetaBlock(input, input + input_size, initial_storage_ix, storage_ix, storage); } if (is_last) { BrotliWriteBits(1, 1, storage_ix, storage); /* islast */ BrotliWriteBits(1, 1, storage_ix, storage); /* isempty */ *storage_ix = (*storage_ix + 7u) & ~7u; } } #undef FOR_TABLE_BITS_ #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/static_dict.c0000644000175000017500000005117514606651213020155 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ #include "static_dict.h" #include "../common/dictionary.h" #include "../common/platform.h" #include "../common/transform.h" #include "encoder_dict.h" #include "find_match_length.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif static BROTLI_INLINE uint32_t Hash(const uint8_t* data) { uint32_t h = BROTLI_UNALIGNED_LOAD32LE(data) * kDictHashMul32; /* The higher bits contain more mixture from the multiplication, so we take our results from there. */ return h >> (32 - kDictNumBits); } static BROTLI_INLINE void AddMatch(size_t distance, size_t len, size_t len_code, uint32_t* matches) { uint32_t match = (uint32_t)((distance << 5) + len_code); matches[len] = BROTLI_MIN(uint32_t, matches[len], match); } static BROTLI_INLINE size_t DictMatchLength(const BrotliDictionary* dictionary, const uint8_t* data, size_t id, size_t len, size_t maxlen) { const size_t offset = dictionary->offsets_by_length[len] + len * id; return FindMatchLengthWithLimit(&dictionary->data[offset], data, BROTLI_MIN(size_t, len, maxlen)); } static BROTLI_INLINE BROTLI_BOOL IsMatch(const BrotliDictionary* dictionary, DictWord w, const uint8_t* data, size_t max_length) { if (w.len > max_length) { return BROTLI_FALSE; } else { const size_t offset = dictionary->offsets_by_length[w.len] + (size_t)w.len * (size_t)w.idx; const uint8_t* dict = &dictionary->data[offset]; if (w.transform == 0) { /* Match against base dictionary word. */ return TO_BROTLI_BOOL(FindMatchLengthWithLimit(dict, data, w.len) == w.len); } else if (w.transform == 10) { /* Match against uppercase first transform. Note that there are only ASCII uppercase words in the lookup table. */ return TO_BROTLI_BOOL(dict[0] >= 'a' && dict[0] <= 'z' && (dict[0] ^ 32) == data[0] && FindMatchLengthWithLimit(&dict[1], &data[1], w.len - 1u) == w.len - 1u); } else { /* Match against uppercase all transform. Note that there are only ASCII uppercase words in the lookup table. */ size_t i; for (i = 0; i < w.len; ++i) { if (dict[i] >= 'a' && dict[i] <= 'z') { if ((dict[i] ^ 32) != data[i]) return BROTLI_FALSE; } else { if (dict[i] != data[i]) return BROTLI_FALSE; } } return BROTLI_TRUE; } } } /* Finds matches for a single static dictionary */ static BROTLI_BOOL BrotliFindAllStaticDictionaryMatchesFor( const BrotliEncoderDictionary* dictionary, const uint8_t* data, size_t min_length, size_t max_length, uint32_t* matches) { BROTLI_BOOL has_found_match = BROTLI_FALSE; #if defined(BROTLI_EXPERIMENTAL) if (dictionary->has_words_heavy) { const BrotliTrieNode* node = &dictionary->trie.root; size_t l = 0; while (node && l < max_length) { uint8_t c; if (l >= min_length && node->len_) { AddMatch(node->idx_, l, node->len_, matches); has_found_match = BROTLI_TRUE; } c = data[l++]; node = BrotliTrieSub(&dictionary->trie, node, c); } return has_found_match; } #endif /* BROTLI_EXPERIMENTAL */ { size_t offset = dictionary->buckets[Hash(data)]; BROTLI_BOOL end = !offset; while (!end) { DictWord w = dictionary->dict_words[offset++]; const size_t l = w.len & 0x1F; const size_t n = (size_t)1 << dictionary->words->size_bits_by_length[l]; const size_t id = w.idx; end = !!(w.len & 0x80); w.len = (uint8_t)l; if (w.transform == 0) { const size_t matchlen = DictMatchLength(dictionary->words, data, id, l, max_length); const uint8_t* s; size_t minlen; size_t maxlen; size_t len; /* Transform "" + BROTLI_TRANSFORM_IDENTITY + "" */ if (matchlen == l) { AddMatch(id, l, l, matches); has_found_match = BROTLI_TRUE; } /* Transforms "" + BROTLI_TRANSFORM_OMIT_LAST_1 + "" and "" + BROTLI_TRANSFORM_OMIT_LAST_1 + "ing " */ if (matchlen >= l - 1) { AddMatch(id + 12 * n, l - 1, l, matches); if (l + 2 < max_length && data[l - 1] == 'i' && data[l] == 'n' && data[l + 1] == 'g' && data[l + 2] == ' ') { AddMatch(id + 49 * n, l + 3, l, matches); } has_found_match = BROTLI_TRUE; } /* Transform "" + BROTLI_TRANSFORM_OMIT_LAST_# + "" (# = 2 .. 9) */ minlen = min_length; if (l > 9) minlen = BROTLI_MAX(size_t, minlen, l - 9); maxlen = BROTLI_MIN(size_t, matchlen, l - 2); for (len = minlen; len <= maxlen; ++len) { size_t cut = l - len; size_t transform_id = (cut << 2) + (size_t)((dictionary->cutoffTransforms >> (cut * 6)) & 0x3F); AddMatch(id + transform_id * n, len, l, matches); has_found_match = BROTLI_TRUE; } if (matchlen < l || l + 6 >= max_length) { continue; } s = &data[l]; /* Transforms "" + BROTLI_TRANSFORM_IDENTITY + */ if (s[0] == ' ') { AddMatch(id + n, l + 1, l, matches); if (s[1] == 'a') { if (s[2] == ' ') { AddMatch(id + 28 * n, l + 3, l, matches); } else if (s[2] == 's') { if (s[3] == ' ') AddMatch(id + 46 * n, l + 4, l, matches); } else if (s[2] == 't') { if (s[3] == ' ') AddMatch(id + 60 * n, l + 4, l, matches); } else if (s[2] == 'n') { if (s[3] == 'd' && s[4] == ' ') { AddMatch(id + 10 * n, l + 5, l, matches); } } } else if (s[1] == 'b') { if (s[2] == 'y' && s[3] == ' ') { AddMatch(id + 38 * n, l + 4, l, matches); } } else if (s[1] == 'i') { if (s[2] == 'n') { if (s[3] == ' ') AddMatch(id + 16 * n, l + 4, l, matches); } else if (s[2] == 's') { if (s[3] == ' ') AddMatch(id + 47 * n, l + 4, l, matches); } } else if (s[1] == 'f') { if (s[2] == 'o') { if (s[3] == 'r' && s[4] == ' ') { AddMatch(id + 25 * n, l + 5, l, matches); } } else if (s[2] == 'r') { if (s[3] == 'o' && s[4] == 'm' && s[5] == ' ') { AddMatch(id + 37 * n, l + 6, l, matches); } } } else if (s[1] == 'o') { if (s[2] == 'f') { if (s[3] == ' ') AddMatch(id + 8 * n, l + 4, l, matches); } else if (s[2] == 'n') { if (s[3] == ' ') AddMatch(id + 45 * n, l + 4, l, matches); } } else if (s[1] == 'n') { if (s[2] == 'o' && s[3] == 't' && s[4] == ' ') { AddMatch(id + 80 * n, l + 5, l, matches); } } else if (s[1] == 't') { if (s[2] == 'h') { if (s[3] == 'e') { if (s[4] == ' ') AddMatch(id + 5 * n, l + 5, l, matches); } else if (s[3] == 'a') { if (s[4] == 't' && s[5] == ' ') { AddMatch(id + 29 * n, l + 6, l, matches); } } } else if (s[2] == 'o') { if (s[3] == ' ') AddMatch(id + 17 * n, l + 4, l, matches); } } else if (s[1] == 'w') { if (s[2] == 'i' && s[3] == 't' && s[4] == 'h' && s[5] == ' ') { AddMatch(id + 35 * n, l + 6, l, matches); } } } else if (s[0] == '"') { AddMatch(id + 19 * n, l + 1, l, matches); if (s[1] == '>') { AddMatch(id + 21 * n, l + 2, l, matches); } } else if (s[0] == '.') { AddMatch(id + 20 * n, l + 1, l, matches); if (s[1] == ' ') { AddMatch(id + 31 * n, l + 2, l, matches); if (s[2] == 'T' && s[3] == 'h') { if (s[4] == 'e') { if (s[5] == ' ') AddMatch(id + 43 * n, l + 6, l, matches); } else if (s[4] == 'i') { if (s[5] == 's' && s[6] == ' ') { AddMatch(id + 75 * n, l + 7, l, matches); } } } } } else if (s[0] == ',') { AddMatch(id + 76 * n, l + 1, l, matches); if (s[1] == ' ') { AddMatch(id + 14 * n, l + 2, l, matches); } } else if (s[0] == '\n') { AddMatch(id + 22 * n, l + 1, l, matches); if (s[1] == '\t') { AddMatch(id + 50 * n, l + 2, l, matches); } } else if (s[0] == ']') { AddMatch(id + 24 * n, l + 1, l, matches); } else if (s[0] == '\'') { AddMatch(id + 36 * n, l + 1, l, matches); } else if (s[0] == ':') { AddMatch(id + 51 * n, l + 1, l, matches); } else if (s[0] == '(') { AddMatch(id + 57 * n, l + 1, l, matches); } else if (s[0] == '=') { if (s[1] == '"') { AddMatch(id + 70 * n, l + 2, l, matches); } else if (s[1] == '\'') { AddMatch(id + 86 * n, l + 2, l, matches); } } else if (s[0] == 'a') { if (s[1] == 'l' && s[2] == ' ') { AddMatch(id + 84 * n, l + 3, l, matches); } } else if (s[0] == 'e') { if (s[1] == 'd') { if (s[2] == ' ') AddMatch(id + 53 * n, l + 3, l, matches); } else if (s[1] == 'r') { if (s[2] == ' ') AddMatch(id + 82 * n, l + 3, l, matches); } else if (s[1] == 's') { if (s[2] == 't' && s[3] == ' ') { AddMatch(id + 95 * n, l + 4, l, matches); } } } else if (s[0] == 'f') { if (s[1] == 'u' && s[2] == 'l' && s[3] == ' ') { AddMatch(id + 90 * n, l + 4, l, matches); } } else if (s[0] == 'i') { if (s[1] == 'v') { if (s[2] == 'e' && s[3] == ' ') { AddMatch(id + 92 * n, l + 4, l, matches); } } else if (s[1] == 'z') { if (s[2] == 'e' && s[3] == ' ') { AddMatch(id + 100 * n, l + 4, l, matches); } } } else if (s[0] == 'l') { if (s[1] == 'e') { if (s[2] == 's' && s[3] == 's' && s[4] == ' ') { AddMatch(id + 93 * n, l + 5, l, matches); } } else if (s[1] == 'y') { if (s[2] == ' ') AddMatch(id + 61 * n, l + 3, l, matches); } } else if (s[0] == 'o') { if (s[1] == 'u' && s[2] == 's' && s[3] == ' ') { AddMatch(id + 106 * n, l + 4, l, matches); } } } else { /* Set is_all_caps=0 for BROTLI_TRANSFORM_UPPERCASE_FIRST and is_all_caps=1 otherwise (BROTLI_TRANSFORM_UPPERCASE_ALL) transform. */ const BROTLI_BOOL is_all_caps = TO_BROTLI_BOOL(w.transform != BROTLI_TRANSFORM_UPPERCASE_FIRST); const uint8_t* s; if (!IsMatch(dictionary->words, w, data, max_length)) { continue; } /* Transform "" + kUppercase{First,All} + "" */ AddMatch(id + (is_all_caps ? 44 : 9) * n, l, l, matches); has_found_match = BROTLI_TRUE; if (l + 1 >= max_length) { continue; } /* Transforms "" + kUppercase{First,All} + */ s = &data[l]; if (s[0] == ' ') { AddMatch(id + (is_all_caps ? 68 : 4) * n, l + 1, l, matches); } else if (s[0] == '"') { AddMatch(id + (is_all_caps ? 87 : 66) * n, l + 1, l, matches); if (s[1] == '>') { AddMatch(id + (is_all_caps ? 97 : 69) * n, l + 2, l, matches); } } else if (s[0] == '.') { AddMatch(id + (is_all_caps ? 101 : 79) * n, l + 1, l, matches); if (s[1] == ' ') { AddMatch(id + (is_all_caps ? 114 : 88) * n, l + 2, l, matches); } } else if (s[0] == ',') { AddMatch(id + (is_all_caps ? 112 : 99) * n, l + 1, l, matches); if (s[1] == ' ') { AddMatch(id + (is_all_caps ? 107 : 58) * n, l + 2, l, matches); } } else if (s[0] == '\'') { AddMatch(id + (is_all_caps ? 94 : 74) * n, l + 1, l, matches); } else if (s[0] == '(') { AddMatch(id + (is_all_caps ? 113 : 78) * n, l + 1, l, matches); } else if (s[0] == '=') { if (s[1] == '"') { AddMatch(id + (is_all_caps ? 105 : 104) * n, l + 2, l, matches); } else if (s[1] == '\'') { AddMatch(id + (is_all_caps ? 116 : 108) * n, l + 2, l, matches); } } } } } /* Transforms with prefixes " " and "." */ if (max_length >= 5 && (data[0] == ' ' || data[0] == '.')) { BROTLI_BOOL is_space = TO_BROTLI_BOOL(data[0] == ' '); size_t offset = dictionary->buckets[Hash(&data[1])]; BROTLI_BOOL end = !offset; while (!end) { DictWord w = dictionary->dict_words[offset++]; const size_t l = w.len & 0x1F; const size_t n = (size_t)1 << dictionary->words->size_bits_by_length[l]; const size_t id = w.idx; end = !!(w.len & 0x80); w.len = (uint8_t)l; if (w.transform == 0) { const uint8_t* s; if (!IsMatch(dictionary->words, w, &data[1], max_length - 1)) { continue; } /* Transforms " " + BROTLI_TRANSFORM_IDENTITY + "" and "." + BROTLI_TRANSFORM_IDENTITY + "" */ AddMatch(id + (is_space ? 6 : 32) * n, l + 1, l, matches); has_found_match = BROTLI_TRUE; if (l + 2 >= max_length) { continue; } /* Transforms " " + BROTLI_TRANSFORM_IDENTITY + and "." + BROTLI_TRANSFORM_IDENTITY + */ s = &data[l + 1]; if (s[0] == ' ') { AddMatch(id + (is_space ? 2 : 77) * n, l + 2, l, matches); } else if (s[0] == '(') { AddMatch(id + (is_space ? 89 : 67) * n, l + 2, l, matches); } else if (is_space) { if (s[0] == ',') { AddMatch(id + 103 * n, l + 2, l, matches); if (s[1] == ' ') { AddMatch(id + 33 * n, l + 3, l, matches); } } else if (s[0] == '.') { AddMatch(id + 71 * n, l + 2, l, matches); if (s[1] == ' ') { AddMatch(id + 52 * n, l + 3, l, matches); } } else if (s[0] == '=') { if (s[1] == '"') { AddMatch(id + 81 * n, l + 3, l, matches); } else if (s[1] == '\'') { AddMatch(id + 98 * n, l + 3, l, matches); } } } } else if (is_space) { /* Set is_all_caps=0 for BROTLI_TRANSFORM_UPPERCASE_FIRST and is_all_caps=1 otherwise (BROTLI_TRANSFORM_UPPERCASE_ALL) transform. */ const BROTLI_BOOL is_all_caps = TO_BROTLI_BOOL(w.transform != BROTLI_TRANSFORM_UPPERCASE_FIRST); const uint8_t* s; if (!IsMatch(dictionary->words, w, &data[1], max_length - 1)) { continue; } /* Transforms " " + kUppercase{First,All} + "" */ AddMatch(id + (is_all_caps ? 85 : 30) * n, l + 1, l, matches); has_found_match = BROTLI_TRUE; if (l + 2 >= max_length) { continue; } /* Transforms " " + kUppercase{First,All} + */ s = &data[l + 1]; if (s[0] == ' ') { AddMatch(id + (is_all_caps ? 83 : 15) * n, l + 2, l, matches); } else if (s[0] == ',') { if (!is_all_caps) { AddMatch(id + 109 * n, l + 2, l, matches); } if (s[1] == ' ') { AddMatch(id + (is_all_caps ? 111 : 65) * n, l + 3, l, matches); } } else if (s[0] == '.') { AddMatch(id + (is_all_caps ? 115 : 96) * n, l + 2, l, matches); if (s[1] == ' ') { AddMatch(id + (is_all_caps ? 117 : 91) * n, l + 3, l, matches); } } else if (s[0] == '=') { if (s[1] == '"') { AddMatch(id + (is_all_caps ? 110 : 118) * n, l + 3, l, matches); } else if (s[1] == '\'') { AddMatch(id + (is_all_caps ? 119 : 120) * n, l + 3, l, matches); } } } } } if (max_length >= 6) { /* Transforms with prefixes "e ", "s ", ", " and "\xC2\xA0" */ if ((data[1] == ' ' && (data[0] == 'e' || data[0] == 's' || data[0] == ',')) || (data[0] == 0xC2 && data[1] == 0xA0)) { size_t offset = dictionary->buckets[Hash(&data[2])]; BROTLI_BOOL end = !offset; while (!end) { DictWord w = dictionary->dict_words[offset++]; const size_t l = w.len & 0x1F; const size_t n = (size_t)1 << dictionary->words->size_bits_by_length[l]; const size_t id = w.idx; end = !!(w.len & 0x80); w.len = (uint8_t)l; if (w.transform == 0 && IsMatch(dictionary->words, w, &data[2], max_length - 2)) { if (data[0] == 0xC2) { AddMatch(id + 102 * n, l + 2, l, matches); has_found_match = BROTLI_TRUE; } else if (l + 2 < max_length && data[l + 2] == ' ') { size_t t = data[0] == 'e' ? 18 : (data[0] == 's' ? 7 : 13); AddMatch(id + t * n, l + 3, l, matches); has_found_match = BROTLI_TRUE; } } } } } if (max_length >= 9) { /* Transforms with prefixes " the " and ".com/" */ if ((data[0] == ' ' && data[1] == 't' && data[2] == 'h' && data[3] == 'e' && data[4] == ' ') || (data[0] == '.' && data[1] == 'c' && data[2] == 'o' && data[3] == 'm' && data[4] == '/')) { size_t offset = dictionary->buckets[Hash(&data[5])]; BROTLI_BOOL end = !offset; while (!end) { DictWord w = dictionary->dict_words[offset++]; const size_t l = w.len & 0x1F; const size_t n = (size_t)1 << dictionary->words->size_bits_by_length[l]; const size_t id = w.idx; end = !!(w.len & 0x80); w.len = (uint8_t)l; if (w.transform == 0 && IsMatch(dictionary->words, w, &data[5], max_length - 5)) { AddMatch(id + (data[0] == ' ' ? 41 : 72) * n, l + 5, l, matches); has_found_match = BROTLI_TRUE; if (l + 5 < max_length) { const uint8_t* s = &data[l + 5]; if (data[0] == ' ') { if (l + 8 < max_length && s[0] == ' ' && s[1] == 'o' && s[2] == 'f' && s[3] == ' ') { AddMatch(id + 62 * n, l + 9, l, matches); if (l + 12 < max_length && s[4] == 't' && s[5] == 'h' && s[6] == 'e' && s[7] == ' ') { AddMatch(id + 73 * n, l + 13, l, matches); } } } } } } } } return has_found_match; } /* Finds matches for one or more dictionaries, if multiple are present in the contextual dictionary */ BROTLI_BOOL BrotliFindAllStaticDictionaryMatches( const BrotliEncoderDictionary* dictionary, const uint8_t* data, size_t min_length, size_t max_length, uint32_t* matches) { BROTLI_BOOL has_found_match = BrotliFindAllStaticDictionaryMatchesFor( dictionary, data, min_length, max_length, matches); if (!!dictionary->parent && dictionary->parent->num_dictionaries > 1) { uint32_t matches2[BROTLI_MAX_STATIC_DICTIONARY_MATCH_LEN + 1]; int l; const BrotliEncoderDictionary* dictionary2 = dictionary->parent->dict[0]; if (dictionary2 == dictionary) { dictionary2 = dictionary->parent->dict[1]; } for (l = 0; l < BROTLI_MAX_STATIC_DICTIONARY_MATCH_LEN + 1; l++) { matches2[l] = kInvalidMatch; } has_found_match |= BrotliFindAllStaticDictionaryMatchesFor( dictionary2, data, min_length, max_length, matches2); for (l = 0; l < BROTLI_MAX_STATIC_DICTIONARY_MATCH_LEN + 1; l++) { if (matches2[l] != kInvalidMatch) { uint32_t dist = (uint32_t)(matches2[l] >> 5); uint32_t len_code = matches2[l] & 31; uint32_t skipdist = (uint32_t)((uint32_t)(1 << dictionary->words-> size_bits_by_length[len_code]) & ~1u) * (uint32_t)dictionary->num_transforms; /* TODO(lode): check for dist overflow */ dist += skipdist; AddMatch(dist, (size_t)l, len_code, matches); } } } return has_found_match; } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/entropy_encode.c0000644000175000017500000003437014606651213020676 0ustar timtim/* Copyright 2010 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Entropy encoding (Huffman) utilities. */ #include "entropy_encode.h" #include /* memset */ #include #include "../common/constants.h" #include "../common/platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif const size_t kBrotliShellGaps[] = {132, 57, 23, 10, 4, 1}; BROTLI_BOOL BrotliSetDepth( int p0, HuffmanTree* pool, uint8_t* depth, int max_depth) { int stack[16]; int level = 0; int p = p0; BROTLI_DCHECK(max_depth <= 15); stack[0] = -1; while (BROTLI_TRUE) { if (pool[p].index_left_ >= 0) { level++; if (level > max_depth) return BROTLI_FALSE; stack[level] = pool[p].index_right_or_value_; p = pool[p].index_left_; continue; } else { depth[pool[p].index_right_or_value_] = (uint8_t)level; } while (level >= 0 && stack[level] == -1) level--; if (level < 0) return BROTLI_TRUE; p = stack[level]; stack[level] = -1; } } /* Sort the root nodes, least popular first. */ static BROTLI_INLINE BROTLI_BOOL SortHuffmanTree( const HuffmanTree* v0, const HuffmanTree* v1) { if (v0->total_count_ != v1->total_count_) { return TO_BROTLI_BOOL(v0->total_count_ < v1->total_count_); } return TO_BROTLI_BOOL(v0->index_right_or_value_ > v1->index_right_or_value_); } /* This function will create a Huffman tree. The catch here is that the tree cannot be arbitrarily deep. Brotli specifies a maximum depth of 15 bits for "code trees" and 7 bits for "code length code trees." count_limit is the value that is to be faked as the minimum value and this minimum value is raised until the tree matches the maximum length requirement. This algorithm is not of excellent performance for very long data blocks, especially when population counts are longer than 2**tree_limit, but we are not planning to use this with extremely long blocks. See http://en.wikipedia.org/wiki/Huffman_coding */ void BrotliCreateHuffmanTree(const uint32_t* data, const size_t length, const int tree_limit, HuffmanTree* tree, uint8_t* depth) { uint32_t count_limit; HuffmanTree sentinel; InitHuffmanTree(&sentinel, BROTLI_UINT32_MAX, -1, -1); /* For block sizes below 64 kB, we never need to do a second iteration of this loop. Probably all of our block sizes will be smaller than that, so this loop is mostly of academic interest. If we actually would need this, we would be better off with the Katajainen algorithm. */ for (count_limit = 1; ; count_limit *= 2) { size_t n = 0; size_t i; size_t j; size_t k; for (i = length; i != 0;) { --i; if (data[i]) { const uint32_t count = BROTLI_MAX(uint32_t, data[i], count_limit); InitHuffmanTree(&tree[n++], count, -1, (int16_t)i); } } if (n == 1) { depth[tree[0].index_right_or_value_] = 1; /* Only one element. */ break; } SortHuffmanTreeItems(tree, n, SortHuffmanTree); /* The nodes are: [0, n): the sorted leaf nodes that we start with. [n]: we add a sentinel here. [n + 1, 2n): new parent nodes are added here, starting from (n+1). These are naturally in ascending order. [2n]: we add a sentinel at the end as well. There will be (2n+1) elements at the end. */ tree[n] = sentinel; tree[n + 1] = sentinel; i = 0; /* Points to the next leaf node. */ j = n + 1; /* Points to the next non-leaf node. */ for (k = n - 1; k != 0; --k) { size_t left, right; if (tree[i].total_count_ <= tree[j].total_count_) { left = i; ++i; } else { left = j; ++j; } if (tree[i].total_count_ <= tree[j].total_count_) { right = i; ++i; } else { right = j; ++j; } { /* The sentinel node becomes the parent node. */ size_t j_end = 2 * n - k; tree[j_end].total_count_ = tree[left].total_count_ + tree[right].total_count_; tree[j_end].index_left_ = (int16_t)left; tree[j_end].index_right_or_value_ = (int16_t)right; /* Add back the last sentinel node. */ tree[j_end + 1] = sentinel; } } if (BrotliSetDepth((int)(2 * n - 1), &tree[0], depth, tree_limit)) { /* We need to pack the Huffman tree in tree_limit bits. If this was not successful, add fake entities to the lowest values and retry. */ break; } } } static void Reverse(uint8_t* v, size_t start, size_t end) { --end; while (start < end) { uint8_t tmp = v[start]; v[start] = v[end]; v[end] = tmp; ++start; --end; } } static void BrotliWriteHuffmanTreeRepetitions( const uint8_t previous_value, const uint8_t value, size_t repetitions, size_t* tree_size, uint8_t* tree, uint8_t* extra_bits_data) { BROTLI_DCHECK(repetitions > 0); if (previous_value != value) { tree[*tree_size] = value; extra_bits_data[*tree_size] = 0; ++(*tree_size); --repetitions; } if (repetitions == 7) { tree[*tree_size] = value; extra_bits_data[*tree_size] = 0; ++(*tree_size); --repetitions; } if (repetitions < 3) { size_t i; for (i = 0; i < repetitions; ++i) { tree[*tree_size] = value; extra_bits_data[*tree_size] = 0; ++(*tree_size); } } else { size_t start = *tree_size; repetitions -= 3; while (BROTLI_TRUE) { tree[*tree_size] = BROTLI_REPEAT_PREVIOUS_CODE_LENGTH; extra_bits_data[*tree_size] = repetitions & 0x3; ++(*tree_size); repetitions >>= 2; if (repetitions == 0) { break; } --repetitions; } Reverse(tree, start, *tree_size); Reverse(extra_bits_data, start, *tree_size); } } static void BrotliWriteHuffmanTreeRepetitionsZeros( size_t repetitions, size_t* tree_size, uint8_t* tree, uint8_t* extra_bits_data) { if (repetitions == 11) { tree[*tree_size] = 0; extra_bits_data[*tree_size] = 0; ++(*tree_size); --repetitions; } if (repetitions < 3) { size_t i; for (i = 0; i < repetitions; ++i) { tree[*tree_size] = 0; extra_bits_data[*tree_size] = 0; ++(*tree_size); } } else { size_t start = *tree_size; repetitions -= 3; while (BROTLI_TRUE) { tree[*tree_size] = BROTLI_REPEAT_ZERO_CODE_LENGTH; extra_bits_data[*tree_size] = repetitions & 0x7; ++(*tree_size); repetitions >>= 3; if (repetitions == 0) { break; } --repetitions; } Reverse(tree, start, *tree_size); Reverse(extra_bits_data, start, *tree_size); } } void BrotliOptimizeHuffmanCountsForRle(size_t length, uint32_t* counts, uint8_t* good_for_rle) { size_t nonzero_count = 0; size_t stride; size_t limit; size_t sum; const size_t streak_limit = 1240; /* Let's make the Huffman code more compatible with RLE encoding. */ size_t i; for (i = 0; i < length; i++) { if (counts[i]) { ++nonzero_count; } } if (nonzero_count < 16) { return; } while (length != 0 && counts[length - 1] == 0) { --length; } if (length == 0) { return; /* All zeros. */ } /* Now counts[0..length - 1] does not have trailing zeros. */ { size_t nonzeros = 0; uint32_t smallest_nonzero = 1 << 30; for (i = 0; i < length; ++i) { if (counts[i] != 0) { ++nonzeros; if (smallest_nonzero > counts[i]) { smallest_nonzero = counts[i]; } } } if (nonzeros < 5) { /* Small histogram will model it well. */ return; } if (smallest_nonzero < 4) { size_t zeros = length - nonzeros; if (zeros < 6) { for (i = 1; i < length - 1; ++i) { if (counts[i - 1] != 0 && counts[i] == 0 && counts[i + 1] != 0) { counts[i] = 1; } } } } if (nonzeros < 28) { return; } } /* 2) Let's mark all population counts that already can be encoded with an RLE code. */ memset(good_for_rle, 0, length); { /* Let's not spoil any of the existing good RLE codes. Mark any seq of 0's that is longer as 5 as a good_for_rle. Mark any seq of non-0's that is longer as 7 as a good_for_rle. */ uint32_t symbol = counts[0]; size_t step = 0; for (i = 0; i <= length; ++i) { if (i == length || counts[i] != symbol) { if ((symbol == 0 && step >= 5) || (symbol != 0 && step >= 7)) { size_t k; for (k = 0; k < step; ++k) { good_for_rle[i - k - 1] = 1; } } step = 1; if (i != length) { symbol = counts[i]; } } else { ++step; } } } /* 3) Let's replace those population counts that lead to more RLE codes. Math here is in 24.8 fixed point representation. */ stride = 0; limit = 256 * (counts[0] + counts[1] + counts[2]) / 3 + 420; sum = 0; for (i = 0; i <= length; ++i) { if (i == length || good_for_rle[i] || (i != 0 && good_for_rle[i - 1]) || (256 * counts[i] - limit + streak_limit) >= 2 * streak_limit) { if (stride >= 4 || (stride >= 3 && sum == 0)) { size_t k; /* The stride must end, collapse what we have, if we have enough (4). */ size_t count = (sum + stride / 2) / stride; if (count == 0) { count = 1; } if (sum == 0) { /* Don't make an all zeros stride to be upgraded to ones. */ count = 0; } for (k = 0; k < stride; ++k) { /* We don't want to change value at counts[i], that is already belonging to the next stride. Thus - 1. */ counts[i - k - 1] = (uint32_t)count; } } stride = 0; sum = 0; if (i < length - 2) { /* All interesting strides have a count of at least 4, */ /* at least when non-zeros. */ limit = 256 * (counts[i] + counts[i + 1] + counts[i + 2]) / 3 + 420; } else if (i < length) { limit = 256 * counts[i]; } else { limit = 0; } } ++stride; if (i != length) { sum += counts[i]; if (stride >= 4) { limit = (256 * sum + stride / 2) / stride; } if (stride == 4) { limit += 120; } } } } static void DecideOverRleUse(const uint8_t* depth, const size_t length, BROTLI_BOOL* use_rle_for_non_zero, BROTLI_BOOL* use_rle_for_zero) { size_t total_reps_zero = 0; size_t total_reps_non_zero = 0; size_t count_reps_zero = 1; size_t count_reps_non_zero = 1; size_t i; for (i = 0; i < length;) { const uint8_t value = depth[i]; size_t reps = 1; size_t k; for (k = i + 1; k < length && depth[k] == value; ++k) { ++reps; } if (reps >= 3 && value == 0) { total_reps_zero += reps; ++count_reps_zero; } if (reps >= 4 && value != 0) { total_reps_non_zero += reps; ++count_reps_non_zero; } i += reps; } *use_rle_for_non_zero = TO_BROTLI_BOOL(total_reps_non_zero > count_reps_non_zero * 2); *use_rle_for_zero = TO_BROTLI_BOOL(total_reps_zero > count_reps_zero * 2); } void BrotliWriteHuffmanTree(const uint8_t* depth, size_t length, size_t* tree_size, uint8_t* tree, uint8_t* extra_bits_data) { uint8_t previous_value = BROTLI_INITIAL_REPEATED_CODE_LENGTH; size_t i; BROTLI_BOOL use_rle_for_non_zero = BROTLI_FALSE; BROTLI_BOOL use_rle_for_zero = BROTLI_FALSE; /* Throw away trailing zeros. */ size_t new_length = length; for (i = 0; i < length; ++i) { if (depth[length - i - 1] == 0) { --new_length; } else { break; } } /* First gather statistics on if it is a good idea to do RLE. */ if (length > 50) { /* Find RLE coding for longer codes. Shorter codes seem not to benefit from RLE. */ DecideOverRleUse(depth, new_length, &use_rle_for_non_zero, &use_rle_for_zero); } /* Actual RLE coding. */ for (i = 0; i < new_length;) { const uint8_t value = depth[i]; size_t reps = 1; if ((value != 0 && use_rle_for_non_zero) || (value == 0 && use_rle_for_zero)) { size_t k; for (k = i + 1; k < new_length && depth[k] == value; ++k) { ++reps; } } if (value == 0) { BrotliWriteHuffmanTreeRepetitionsZeros( reps, tree_size, tree, extra_bits_data); } else { BrotliWriteHuffmanTreeRepetitions(previous_value, value, reps, tree_size, tree, extra_bits_data); previous_value = value; } i += reps; } } static uint16_t BrotliReverseBits(size_t num_bits, uint16_t bits) { static const size_t kLut[16] = { /* Pre-reversed 4-bit values. */ 0x00, 0x08, 0x04, 0x0C, 0x02, 0x0A, 0x06, 0x0E, 0x01, 0x09, 0x05, 0x0D, 0x03, 0x0B, 0x07, 0x0F }; size_t retval = kLut[bits & 0x0F]; size_t i; for (i = 4; i < num_bits; i += 4) { retval <<= 4; bits = (uint16_t)(bits >> 4); retval |= kLut[bits & 0x0F]; } retval >>= ((0 - num_bits) & 0x03); return (uint16_t)retval; } /* 0..15 are values for bits */ #define MAX_HUFFMAN_BITS 16 void BrotliConvertBitDepthsToSymbols(const uint8_t* depth, size_t len, uint16_t* bits) { /* In Brotli, all bit depths are [1..15] 0 bit depth means that the symbol does not exist. */ uint16_t bl_count[MAX_HUFFMAN_BITS] = { 0 }; uint16_t next_code[MAX_HUFFMAN_BITS]; size_t i; int code = 0; for (i = 0; i < len; ++i) { ++bl_count[depth[i]]; } bl_count[0] = 0; next_code[0] = 0; for (i = 1; i < MAX_HUFFMAN_BITS; ++i) { code = (code + bl_count[i - 1]) << 1; next_code[i] = (uint16_t)code; } for (i = 0; i < len; ++i) { if (depth[i]) { bits[i] = BrotliReverseBits(depth[i], next_code[depth[i]]++); } } } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/ringbuffer.h0000644000175000017500000001357114606651213020017 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Sliding window over the input data. */ #ifndef BROTLI_ENC_RINGBUFFER_H_ #define BROTLI_ENC_RINGBUFFER_H_ #include /* memcpy */ #include #include "../common/platform.h" #include "memory.h" #include "quality.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* A RingBuffer(window_bits, tail_bits) contains `1 << window_bits' bytes of data in a circular manner: writing a byte writes it to: `position() % (1 << window_bits)'. For convenience, the RingBuffer array contains another copy of the first `1 << tail_bits' bytes: buffer_[i] == buffer_[i + (1 << window_bits)], if i < (1 << tail_bits), and another copy of the last two bytes: buffer_[-1] == buffer_[(1 << window_bits) - 1] and buffer_[-2] == buffer_[(1 << window_bits) - 2]. */ typedef struct RingBuffer { /* Size of the ring-buffer is (1 << window_bits) + tail_size_. */ const uint32_t size_; const uint32_t mask_; const uint32_t tail_size_; const uint32_t total_size_; uint32_t cur_size_; /* Position to write in the ring buffer. */ uint32_t pos_; /* The actual ring buffer containing the copy of the last two bytes, the data, and the copy of the beginning as a tail. */ uint8_t* data_; /* The start of the ring-buffer. */ uint8_t* buffer_; } RingBuffer; static BROTLI_INLINE void RingBufferInit(RingBuffer* rb) { rb->cur_size_ = 0; rb->pos_ = 0; rb->data_ = 0; rb->buffer_ = 0; } static BROTLI_INLINE void RingBufferSetup( const BrotliEncoderParams* params, RingBuffer* rb) { int window_bits = ComputeRbBits(params); int tail_bits = params->lgblock; *(uint32_t*)&rb->size_ = 1u << window_bits; *(uint32_t*)&rb->mask_ = (1u << window_bits) - 1; *(uint32_t*)&rb->tail_size_ = 1u << tail_bits; *(uint32_t*)&rb->total_size_ = rb->size_ + rb->tail_size_; } static BROTLI_INLINE void RingBufferFree(MemoryManager* m, RingBuffer* rb) { BROTLI_FREE(m, rb->data_); } /* Allocates or re-allocates data_ to the given length + plus some slack region before and after. Fills the slack regions with zeros. */ static BROTLI_INLINE void RingBufferInitBuffer( MemoryManager* m, const uint32_t buflen, RingBuffer* rb) { static const size_t kSlackForEightByteHashingEverywhere = 7; uint8_t* new_data = BROTLI_ALLOC( m, uint8_t, 2 + buflen + kSlackForEightByteHashingEverywhere); size_t i; if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(new_data)) return; if (rb->data_) { memcpy(new_data, rb->data_, 2 + rb->cur_size_ + kSlackForEightByteHashingEverywhere); BROTLI_FREE(m, rb->data_); } rb->data_ = new_data; rb->cur_size_ = buflen; rb->buffer_ = rb->data_ + 2; rb->buffer_[-2] = rb->buffer_[-1] = 0; for (i = 0; i < kSlackForEightByteHashingEverywhere; ++i) { rb->buffer_[rb->cur_size_ + i] = 0; } } static BROTLI_INLINE void RingBufferWriteTail( const uint8_t* bytes, size_t n, RingBuffer* rb) { const size_t masked_pos = rb->pos_ & rb->mask_; if (BROTLI_PREDICT_FALSE(masked_pos < rb->tail_size_)) { /* Just fill the tail buffer with the beginning data. */ const size_t p = rb->size_ + masked_pos; memcpy(&rb->buffer_[p], bytes, BROTLI_MIN(size_t, n, rb->tail_size_ - masked_pos)); } } /* Push bytes into the ring buffer. */ static BROTLI_INLINE void RingBufferWrite( MemoryManager* m, const uint8_t* bytes, size_t n, RingBuffer* rb) { if (rb->pos_ == 0 && n < rb->tail_size_) { /* Special case for the first write: to process the first block, we don't need to allocate the whole ring-buffer and we don't need the tail either. However, we do this memory usage optimization only if the first write is less than the tail size, which is also the input block size, otherwise it is likely that other blocks will follow and we will need to reallocate to the full size anyway. */ rb->pos_ = (uint32_t)n; RingBufferInitBuffer(m, rb->pos_, rb); if (BROTLI_IS_OOM(m)) return; memcpy(rb->buffer_, bytes, n); return; } if (rb->cur_size_ < rb->total_size_) { /* Lazily allocate the full buffer. */ RingBufferInitBuffer(m, rb->total_size_, rb); if (BROTLI_IS_OOM(m)) return; /* Initialize the last two bytes to zero, so that we don't have to worry later when we copy the last two bytes to the first two positions. */ rb->buffer_[rb->size_ - 2] = 0; rb->buffer_[rb->size_ - 1] = 0; /* Initialize tail; might be touched by "best_len++" optimization when ring buffer is "full". */ rb->buffer_[rb->size_] = 241; } { const size_t masked_pos = rb->pos_ & rb->mask_; /* The length of the writes is limited so that we do not need to worry about a write */ RingBufferWriteTail(bytes, n, rb); if (BROTLI_PREDICT_TRUE(masked_pos + n <= rb->size_)) { /* A single write fits. */ memcpy(&rb->buffer_[masked_pos], bytes, n); } else { /* Split into two writes. Copy into the end of the buffer, including the tail buffer. */ memcpy(&rb->buffer_[masked_pos], bytes, BROTLI_MIN(size_t, n, rb->total_size_ - masked_pos)); /* Copy into the beginning of the buffer */ memcpy(&rb->buffer_[0], bytes + (rb->size_ - masked_pos), n - (rb->size_ - masked_pos)); } } { BROTLI_BOOL not_first_lap = (rb->pos_ & (1u << 31)) != 0; uint32_t rb_pos_mask = (1u << 31) - 1; rb->buffer_[-2] = rb->buffer_[rb->size_ - 2]; rb->buffer_[-1] = rb->buffer_[rb->size_ - 1]; rb->pos_ = (rb->pos_ & rb_pos_mask) + (uint32_t)(n & rb_pos_mask); if (not_first_lap) { /* Wrap, but preserve not-a-first-lap feature. */ rb->pos_ |= 1u << 31; } } } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_RINGBUFFER_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/cluster_inc.h0000644000175000017500000002706214606651213020200 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: FN, CODE */ #define HistogramType FN(Histogram) /* Computes the bit cost reduction by combining out[idx1] and out[idx2] and if it is below a threshold, stores the pair (idx1, idx2) in the *pairs queue. */ BROTLI_INTERNAL void FN(BrotliCompareAndPushToQueue)( const HistogramType* out, HistogramType* tmp, const uint32_t* cluster_size, uint32_t idx1, uint32_t idx2, size_t max_num_pairs, HistogramPair* pairs, size_t* num_pairs) CODE({ BROTLI_BOOL is_good_pair = BROTLI_FALSE; HistogramPair p; p.idx1 = p.idx2 = 0; p.cost_diff = p.cost_combo = 0; if (idx1 == idx2) { return; } if (idx2 < idx1) { uint32_t t = idx2; idx2 = idx1; idx1 = t; } p.idx1 = idx1; p.idx2 = idx2; p.cost_diff = 0.5 * ClusterCostDiff(cluster_size[idx1], cluster_size[idx2]); p.cost_diff -= out[idx1].bit_cost_; p.cost_diff -= out[idx2].bit_cost_; if (out[idx1].total_count_ == 0) { p.cost_combo = out[idx2].bit_cost_; is_good_pair = BROTLI_TRUE; } else if (out[idx2].total_count_ == 0) { p.cost_combo = out[idx1].bit_cost_; is_good_pair = BROTLI_TRUE; } else { double threshold = *num_pairs == 0 ? 1e99 : BROTLI_MAX(double, 0.0, pairs[0].cost_diff); double cost_combo; *tmp = out[idx1]; FN(HistogramAddHistogram)(tmp, &out[idx2]); cost_combo = FN(BrotliPopulationCost)(tmp); if (cost_combo < threshold - p.cost_diff) { p.cost_combo = cost_combo; is_good_pair = BROTLI_TRUE; } } if (is_good_pair) { p.cost_diff += p.cost_combo; if (*num_pairs > 0 && HistogramPairIsLess(&pairs[0], &p)) { /* Replace the top of the queue if needed. */ if (*num_pairs < max_num_pairs) { pairs[*num_pairs] = pairs[0]; ++(*num_pairs); } pairs[0] = p; } else if (*num_pairs < max_num_pairs) { pairs[*num_pairs] = p; ++(*num_pairs); } } }) BROTLI_INTERNAL size_t FN(BrotliHistogramCombine)(HistogramType* out, HistogramType* tmp, uint32_t* cluster_size, uint32_t* symbols, uint32_t* clusters, HistogramPair* pairs, size_t num_clusters, size_t symbols_size, size_t max_clusters, size_t max_num_pairs) CODE({ double cost_diff_threshold = 0.0; size_t min_cluster_size = 1; size_t num_pairs = 0; { /* We maintain a vector of histogram pairs, with the property that the pair with the maximum bit cost reduction is the first. */ size_t idx1; for (idx1 = 0; idx1 < num_clusters; ++idx1) { size_t idx2; for (idx2 = idx1 + 1; idx2 < num_clusters; ++idx2) { FN(BrotliCompareAndPushToQueue)(out, tmp, cluster_size, clusters[idx1], clusters[idx2], max_num_pairs, &pairs[0], &num_pairs); } } } while (num_clusters > min_cluster_size) { uint32_t best_idx1; uint32_t best_idx2; size_t i; if (pairs[0].cost_diff >= cost_diff_threshold) { cost_diff_threshold = 1e99; min_cluster_size = max_clusters; continue; } /* Take the best pair from the top of heap. */ best_idx1 = pairs[0].idx1; best_idx2 = pairs[0].idx2; FN(HistogramAddHistogram)(&out[best_idx1], &out[best_idx2]); out[best_idx1].bit_cost_ = pairs[0].cost_combo; cluster_size[best_idx1] += cluster_size[best_idx2]; for (i = 0; i < symbols_size; ++i) { if (symbols[i] == best_idx2) { symbols[i] = best_idx1; } } for (i = 0; i < num_clusters; ++i) { if (clusters[i] == best_idx2) { memmove(&clusters[i], &clusters[i + 1], (num_clusters - i - 1) * sizeof(clusters[0])); break; } } --num_clusters; { /* Remove pairs intersecting the just combined best pair. */ size_t copy_to_idx = 0; for (i = 0; i < num_pairs; ++i) { HistogramPair* p = &pairs[i]; if (p->idx1 == best_idx1 || p->idx2 == best_idx1 || p->idx1 == best_idx2 || p->idx2 == best_idx2) { /* Remove invalid pair from the queue. */ continue; } if (HistogramPairIsLess(&pairs[0], p)) { /* Replace the top of the queue if needed. */ HistogramPair front = pairs[0]; pairs[0] = *p; pairs[copy_to_idx] = front; } else { pairs[copy_to_idx] = *p; } ++copy_to_idx; } num_pairs = copy_to_idx; } /* Push new pairs formed with the combined histogram to the heap. */ for (i = 0; i < num_clusters; ++i) { FN(BrotliCompareAndPushToQueue)(out, tmp, cluster_size, best_idx1, clusters[i], max_num_pairs, &pairs[0], &num_pairs); } } return num_clusters; }) /* What is the bit cost of moving histogram from cur_symbol to candidate. */ BROTLI_INTERNAL double FN(BrotliHistogramBitCostDistance)( const HistogramType* histogram, const HistogramType* candidate, HistogramType* tmp) CODE({ if (histogram->total_count_ == 0) { return 0.0; } else { *tmp = *histogram; FN(HistogramAddHistogram)(tmp, candidate); return FN(BrotliPopulationCost)(tmp) - candidate->bit_cost_; } }) /* Find the best 'out' histogram for each of the 'in' histograms. When called, clusters[0..num_clusters) contains the unique values from symbols[0..in_size), but this property is not preserved in this function. Note: we assume that out[]->bit_cost_ is already up-to-date. */ BROTLI_INTERNAL void FN(BrotliHistogramRemap)(const HistogramType* in, size_t in_size, const uint32_t* clusters, size_t num_clusters, HistogramType* out, HistogramType* tmp, uint32_t* symbols) CODE({ size_t i; for (i = 0; i < in_size; ++i) { uint32_t best_out = i == 0 ? symbols[0] : symbols[i - 1]; double best_bits = FN(BrotliHistogramBitCostDistance)(&in[i], &out[best_out], tmp); size_t j; for (j = 0; j < num_clusters; ++j) { const double cur_bits = FN(BrotliHistogramBitCostDistance)(&in[i], &out[clusters[j]], tmp); if (cur_bits < best_bits) { best_bits = cur_bits; best_out = clusters[j]; } } symbols[i] = best_out; } /* Recompute each out based on raw and symbols. */ for (i = 0; i < num_clusters; ++i) { FN(HistogramClear)(&out[clusters[i]]); } for (i = 0; i < in_size; ++i) { FN(HistogramAddHistogram)(&out[symbols[i]], &in[i]); } }) /* Reorders elements of the out[0..length) array and changes values in symbols[0..length) array in the following way: * when called, symbols[] contains indexes into out[], and has N unique values (possibly N < length) * on return, symbols'[i] = f(symbols[i]) and out'[symbols'[i]] = out[symbols[i]], for each 0 <= i < length, where f is a bijection between the range of symbols[] and [0..N), and the first occurrences of values in symbols'[i] come in consecutive increasing order. Returns N, the number of unique values in symbols[]. */ BROTLI_INTERNAL size_t FN(BrotliHistogramReindex)(MemoryManager* m, HistogramType* out, uint32_t* symbols, size_t length) CODE({ static const uint32_t kInvalidIndex = BROTLI_UINT32_MAX; uint32_t* new_index = BROTLI_ALLOC(m, uint32_t, length); uint32_t next_index; HistogramType* tmp; size_t i; if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(new_index)) return 0; for (i = 0; i < length; ++i) { new_index[i] = kInvalidIndex; } next_index = 0; for (i = 0; i < length; ++i) { if (new_index[symbols[i]] == kInvalidIndex) { new_index[symbols[i]] = next_index; ++next_index; } } /* TODO(eustas): by using idea of "cycle-sort" we can avoid allocation of tmp and reduce the number of copying by the factor of 2. */ tmp = BROTLI_ALLOC(m, HistogramType, next_index); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(tmp)) return 0; next_index = 0; for (i = 0; i < length; ++i) { if (new_index[symbols[i]] == next_index) { tmp[next_index] = out[symbols[i]]; ++next_index; } symbols[i] = new_index[symbols[i]]; } BROTLI_FREE(m, new_index); for (i = 0; i < next_index; ++i) { out[i] = tmp[i]; } BROTLI_FREE(m, tmp); return next_index; }) BROTLI_INTERNAL void FN(BrotliClusterHistograms)( MemoryManager* m, const HistogramType* in, const size_t in_size, size_t max_histograms, HistogramType* out, size_t* out_size, uint32_t* histogram_symbols) CODE({ uint32_t* cluster_size = BROTLI_ALLOC(m, uint32_t, in_size); uint32_t* clusters = BROTLI_ALLOC(m, uint32_t, in_size); size_t num_clusters = 0; const size_t max_input_histograms = 64; size_t pairs_capacity = max_input_histograms * max_input_histograms / 2; /* For the first pass of clustering, we allow all pairs. */ HistogramPair* pairs = BROTLI_ALLOC(m, HistogramPair, pairs_capacity + 1); /* TODO(eustas): move to "persistent" arena? */ HistogramType* tmp = BROTLI_ALLOC(m, HistogramType, 1); size_t i; if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(cluster_size) || BROTLI_IS_NULL(clusters) || BROTLI_IS_NULL(pairs)|| BROTLI_IS_NULL(tmp)) { return; } for (i = 0; i < in_size; ++i) { cluster_size[i] = 1; } for (i = 0; i < in_size; ++i) { out[i] = in[i]; out[i].bit_cost_ = FN(BrotliPopulationCost)(&in[i]); histogram_symbols[i] = (uint32_t)i; } for (i = 0; i < in_size; i += max_input_histograms) { size_t num_to_combine = BROTLI_MIN(size_t, in_size - i, max_input_histograms); size_t num_new_clusters; size_t j; for (j = 0; j < num_to_combine; ++j) { clusters[num_clusters + j] = (uint32_t)(i + j); } num_new_clusters = FN(BrotliHistogramCombine)(out, tmp, cluster_size, &histogram_symbols[i], &clusters[num_clusters], pairs, num_to_combine, num_to_combine, max_histograms, pairs_capacity); num_clusters += num_new_clusters; } { /* For the second pass, we limit the total number of histogram pairs. After this limit is reached, we only keep searching for the best pair. */ size_t max_num_pairs = BROTLI_MIN(size_t, 64 * num_clusters, (num_clusters / 2) * num_clusters); BROTLI_ENSURE_CAPACITY( m, HistogramPair, pairs, pairs_capacity, max_num_pairs + 1); if (BROTLI_IS_OOM(m)) return; /* Collapse similar histograms. */ num_clusters = FN(BrotliHistogramCombine)(out, tmp, cluster_size, histogram_symbols, clusters, pairs, num_clusters, in_size, max_histograms, max_num_pairs); } BROTLI_FREE(m, pairs); BROTLI_FREE(m, cluster_size); /* Find the optimal map from original histograms to the final ones. */ FN(BrotliHistogramRemap)(in, in_size, clusters, num_clusters, out, tmp, histogram_symbols); BROTLI_FREE(m, tmp); BROTLI_FREE(m, clusters); /* Convert the context map to a canonical form. */ *out_size = FN(BrotliHistogramReindex)(m, out, histogram_symbols, in_size); if (BROTLI_IS_OOM(m)) return; }) #undef HistogramType IO-Compress-Brotli-0.019/brotli/c/enc/bit_cost.c0000644000175000017500000000145514606651213017465 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Functions to estimate the bit cost of Huffman trees. */ #include "bit_cost.h" #include #include "../common/constants.h" #include "../common/platform.h" #include "fast_log.h" #include "histogram.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #define FN(X) X ## Literal #include "bit_cost_inc.h" /* NOLINT(build/include) */ #undef FN #define FN(X) X ## Command #include "bit_cost_inc.h" /* NOLINT(build/include) */ #undef FN #define FN(X) X ## Distance #include "bit_cost_inc.h" /* NOLINT(build/include) */ #undef FN #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/block_splitter_inc.h0000644000175000017500000004436114606651213021540 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: FN, DataType */ #define HistogramType FN(Histogram) static void FN(InitialEntropyCodes)(const DataType* data, size_t length, size_t stride, size_t num_histograms, HistogramType* histograms) { uint32_t seed = 7; size_t block_length = length / num_histograms; size_t i; FN(ClearHistograms)(histograms, num_histograms); for (i = 0; i < num_histograms; ++i) { size_t pos = length * i / num_histograms; if (i != 0) { pos += MyRand(&seed) % block_length; } if (pos + stride >= length) { pos = length - stride - 1; } FN(HistogramAddVector)(&histograms[i], data + pos, stride); } } static void FN(RandomSample)(uint32_t* seed, const DataType* data, size_t length, size_t stride, HistogramType* sample) { size_t pos = 0; if (stride >= length) { stride = length; } else { pos = MyRand(seed) % (length - stride + 1); } FN(HistogramAddVector)(sample, data + pos, stride); } static void FN(RefineEntropyCodes)(const DataType* data, size_t length, size_t stride, size_t num_histograms, HistogramType* histograms, HistogramType* tmp) { size_t iters = kIterMulForRefining * length / stride + kMinItersForRefining; uint32_t seed = 7; size_t iter; iters = ((iters + num_histograms - 1) / num_histograms) * num_histograms; for (iter = 0; iter < iters; ++iter) { FN(HistogramClear)(tmp); FN(RandomSample)(&seed, data, length, stride, tmp); FN(HistogramAddHistogram)(&histograms[iter % num_histograms], tmp); } } /* Assigns a block id from the range [0, num_histograms) to each data element in data[0..length) and fills in block_id[0..length) with the assigned values. Returns the number of blocks, i.e. one plus the number of block switches. */ static size_t FN(FindBlocks)(const DataType* data, const size_t length, const double block_switch_bitcost, const size_t num_histograms, const HistogramType* histograms, double* insert_cost, double* cost, uint8_t* switch_signal, uint8_t* block_id) { const size_t alphabet_size = FN(HistogramDataSize)(); const size_t bitmap_len = (num_histograms + 7) >> 3; size_t num_blocks = 1; size_t byte_ix; size_t i; size_t j; BROTLI_DCHECK(num_histograms <= 256); /* Trivial case: single historgram -> single block type. */ if (num_histograms <= 1) { for (i = 0; i < length; ++i) { block_id[i] = 0; } return 1; } /* Fill bitcost for each symbol of all histograms. * Non-existing symbol cost: 2 + log2(total_count). * Regular symbol cost: -log2(symbol_count / total_count). */ memset(insert_cost, 0, sizeof(insert_cost[0]) * alphabet_size * num_histograms); for (i = 0; i < num_histograms; ++i) { insert_cost[i] = FastLog2((uint32_t)histograms[i].total_count_); } for (i = alphabet_size; i != 0;) { /* Reverse order to use the 0-th row as a temporary storage. */ --i; for (j = 0; j < num_histograms; ++j) { insert_cost[i * num_histograms + j] = insert_cost[j] - BitCost(histograms[j].data_[i]); } } /* After each iteration of this loop, cost[k] will contain the difference between the minimum cost of arriving at the current byte position using entropy code k, and the minimum cost of arriving at the current byte position. This difference is capped at the block switch cost, and if it reaches block switch cost, it means that when we trace back from the last position, we need to switch here. */ memset(cost, 0, sizeof(cost[0]) * num_histograms); memset(switch_signal, 0, sizeof(switch_signal[0]) * length * bitmap_len); for (byte_ix = 0; byte_ix < length; ++byte_ix) { size_t ix = byte_ix * bitmap_len; size_t symbol = data[byte_ix]; size_t insert_cost_ix = symbol * num_histograms; double min_cost = 1e99; double block_switch_cost = block_switch_bitcost; size_t k; for (k = 0; k < num_histograms; ++k) { /* We are coding the symbol with entropy code k. */ cost[k] += insert_cost[insert_cost_ix + k]; if (cost[k] < min_cost) { min_cost = cost[k]; block_id[byte_ix] = (uint8_t)k; } } /* More blocks for the beginning. */ if (byte_ix < 2000) { block_switch_cost *= 0.77 + 0.07 * (double)byte_ix / 2000; } for (k = 0; k < num_histograms; ++k) { cost[k] -= min_cost; if (cost[k] >= block_switch_cost) { const uint8_t mask = (uint8_t)(1u << (k & 7)); cost[k] = block_switch_cost; BROTLI_DCHECK((k >> 3) < bitmap_len); switch_signal[ix + (k >> 3)] |= mask; } } } byte_ix = length - 1; { /* Trace back from the last position and switch at the marked places. */ size_t ix = byte_ix * bitmap_len; uint8_t cur_id = block_id[byte_ix]; while (byte_ix > 0) { const uint8_t mask = (uint8_t)(1u << (cur_id & 7)); BROTLI_DCHECK(((size_t)cur_id >> 3) < bitmap_len); --byte_ix; ix -= bitmap_len; if (switch_signal[ix + (cur_id >> 3)] & mask) { if (cur_id != block_id[byte_ix]) { cur_id = block_id[byte_ix]; ++num_blocks; } } block_id[byte_ix] = cur_id; } } return num_blocks; } static size_t FN(RemapBlockIds)(uint8_t* block_ids, const size_t length, uint16_t* new_id, const size_t num_histograms) { static const uint16_t kInvalidId = 256; uint16_t next_id = 0; size_t i; for (i = 0; i < num_histograms; ++i) { new_id[i] = kInvalidId; } for (i = 0; i < length; ++i) { BROTLI_DCHECK(block_ids[i] < num_histograms); if (new_id[block_ids[i]] == kInvalidId) { new_id[block_ids[i]] = next_id++; } } for (i = 0; i < length; ++i) { block_ids[i] = (uint8_t)new_id[block_ids[i]]; BROTLI_DCHECK(block_ids[i] < num_histograms); } BROTLI_DCHECK(next_id <= num_histograms); return next_id; } static void FN(BuildBlockHistograms)(const DataType* data, const size_t length, const uint8_t* block_ids, const size_t num_histograms, HistogramType* histograms) { size_t i; FN(ClearHistograms)(histograms, num_histograms); for (i = 0; i < length; ++i) { FN(HistogramAdd)(&histograms[block_ids[i]], data[i]); } } /* Given the initial partitioning build partitioning with limited number * of histograms (and block types). */ static void FN(ClusterBlocks)(MemoryManager* m, const DataType* data, const size_t length, const size_t num_blocks, uint8_t* block_ids, BlockSplit* split) { uint32_t* histogram_symbols = BROTLI_ALLOC(m, uint32_t, num_blocks); uint32_t* u32 = BROTLI_ALLOC(m, uint32_t, num_blocks + 4 * HISTOGRAMS_PER_BATCH); const size_t expected_num_clusters = CLUSTERS_PER_BATCH * (num_blocks + HISTOGRAMS_PER_BATCH - 1) / HISTOGRAMS_PER_BATCH; size_t all_histograms_size = 0; size_t all_histograms_capacity = expected_num_clusters; HistogramType* all_histograms = BROTLI_ALLOC(m, HistogramType, all_histograms_capacity); size_t cluster_size_size = 0; size_t cluster_size_capacity = expected_num_clusters; uint32_t* cluster_size = BROTLI_ALLOC(m, uint32_t, cluster_size_capacity); size_t num_clusters = 0; HistogramType* histograms = BROTLI_ALLOC(m, HistogramType, BROTLI_MIN(size_t, num_blocks, HISTOGRAMS_PER_BATCH)); size_t max_num_pairs = HISTOGRAMS_PER_BATCH * HISTOGRAMS_PER_BATCH / 2; size_t pairs_capacity = max_num_pairs + 1; HistogramPair* pairs = BROTLI_ALLOC(m, HistogramPair, pairs_capacity); size_t pos = 0; uint32_t* clusters; size_t num_final_clusters; static const uint32_t kInvalidIndex = BROTLI_UINT32_MAX; uint32_t* new_index; size_t i; uint32_t* BROTLI_RESTRICT const sizes = u32 + 0 * HISTOGRAMS_PER_BATCH; uint32_t* BROTLI_RESTRICT const new_clusters = u32 + 1 * HISTOGRAMS_PER_BATCH; uint32_t* BROTLI_RESTRICT const symbols = u32 + 2 * HISTOGRAMS_PER_BATCH; uint32_t* BROTLI_RESTRICT const remap = u32 + 3 * HISTOGRAMS_PER_BATCH; uint32_t* BROTLI_RESTRICT const block_lengths = u32 + 4 * HISTOGRAMS_PER_BATCH; /* TODO(eustas): move to arena? */ HistogramType* tmp = BROTLI_ALLOC(m, HistogramType, 2); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(histogram_symbols) || BROTLI_IS_NULL(u32) || BROTLI_IS_NULL(all_histograms) || BROTLI_IS_NULL(cluster_size) || BROTLI_IS_NULL(histograms) || BROTLI_IS_NULL(pairs) || BROTLI_IS_NULL(tmp)) { return; } memset(u32, 0, (num_blocks + 4 * HISTOGRAMS_PER_BATCH) * sizeof(uint32_t)); /* Calculate block lengths (convert repeating values -> series length). */ { size_t block_idx = 0; for (i = 0; i < length; ++i) { BROTLI_DCHECK(block_idx < num_blocks); ++block_lengths[block_idx]; if (i + 1 == length || block_ids[i] != block_ids[i + 1]) { ++block_idx; } } BROTLI_DCHECK(block_idx == num_blocks); } /* Pre-cluster blocks (cluster batches). */ for (i = 0; i < num_blocks; i += HISTOGRAMS_PER_BATCH) { const size_t num_to_combine = BROTLI_MIN(size_t, num_blocks - i, HISTOGRAMS_PER_BATCH); size_t num_new_clusters; size_t j; for (j = 0; j < num_to_combine; ++j) { size_t k; size_t block_length = block_lengths[i + j]; FN(HistogramClear)(&histograms[j]); for (k = 0; k < block_length; ++k) { FN(HistogramAdd)(&histograms[j], data[pos++]); } histograms[j].bit_cost_ = FN(BrotliPopulationCost)(&histograms[j]); new_clusters[j] = (uint32_t)j; symbols[j] = (uint32_t)j; sizes[j] = 1; } num_new_clusters = FN(BrotliHistogramCombine)( histograms, tmp, sizes, symbols, new_clusters, pairs, num_to_combine, num_to_combine, HISTOGRAMS_PER_BATCH, max_num_pairs); BROTLI_ENSURE_CAPACITY(m, HistogramType, all_histograms, all_histograms_capacity, all_histograms_size + num_new_clusters); BROTLI_ENSURE_CAPACITY(m, uint32_t, cluster_size, cluster_size_capacity, cluster_size_size + num_new_clusters); if (BROTLI_IS_OOM(m)) return; for (j = 0; j < num_new_clusters; ++j) { all_histograms[all_histograms_size++] = histograms[new_clusters[j]]; cluster_size[cluster_size_size++] = sizes[new_clusters[j]]; remap[new_clusters[j]] = (uint32_t)j; } for (j = 0; j < num_to_combine; ++j) { histogram_symbols[i + j] = (uint32_t)num_clusters + remap[symbols[j]]; } num_clusters += num_new_clusters; BROTLI_DCHECK(num_clusters == cluster_size_size); BROTLI_DCHECK(num_clusters == all_histograms_size); } BROTLI_FREE(m, histograms); /* Final clustering. */ max_num_pairs = BROTLI_MIN(size_t, 64 * num_clusters, (num_clusters / 2) * num_clusters); if (pairs_capacity < max_num_pairs + 1) { BROTLI_FREE(m, pairs); pairs = BROTLI_ALLOC(m, HistogramPair, max_num_pairs + 1); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(pairs)) return; } clusters = BROTLI_ALLOC(m, uint32_t, num_clusters); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(clusters)) return; for (i = 0; i < num_clusters; ++i) { clusters[i] = (uint32_t)i; } num_final_clusters = FN(BrotliHistogramCombine)( all_histograms, tmp, cluster_size, histogram_symbols, clusters, pairs, num_clusters, num_blocks, BROTLI_MAX_NUMBER_OF_BLOCK_TYPES, max_num_pairs); BROTLI_FREE(m, pairs); BROTLI_FREE(m, cluster_size); /* Assign blocks to final histograms. */ new_index = BROTLI_ALLOC(m, uint32_t, num_clusters); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(new_index)) return; for (i = 0; i < num_clusters; ++i) new_index[i] = kInvalidIndex; pos = 0; { uint32_t next_index = 0; for (i = 0; i < num_blocks; ++i) { size_t j; uint32_t best_out; double best_bits; FN(HistogramClear)(tmp); for (j = 0; j < block_lengths[i]; ++j) { FN(HistogramAdd)(tmp, data[pos++]); } /* Among equally good histograms prefer last used. */ /* TODO(eustas): should we give a block-switch discount here? */ best_out = (i == 0) ? histogram_symbols[0] : histogram_symbols[i - 1]; best_bits = FN(BrotliHistogramBitCostDistance)( tmp, &all_histograms[best_out], tmp + 1); for (j = 0; j < num_final_clusters; ++j) { const double cur_bits = FN(BrotliHistogramBitCostDistance)( tmp, &all_histograms[clusters[j]], tmp + 1); if (cur_bits < best_bits) { best_bits = cur_bits; best_out = clusters[j]; } } histogram_symbols[i] = best_out; if (new_index[best_out] == kInvalidIndex) { new_index[best_out] = next_index++; } } } BROTLI_FREE(m, tmp); BROTLI_FREE(m, clusters); BROTLI_FREE(m, all_histograms); BROTLI_ENSURE_CAPACITY( m, uint8_t, split->types, split->types_alloc_size, num_blocks); BROTLI_ENSURE_CAPACITY( m, uint32_t, split->lengths, split->lengths_alloc_size, num_blocks); if (BROTLI_IS_OOM(m)) return; /* Rewrite final assignment to block-split. There might be less blocks * than |num_blocks| due to clustering. */ { uint32_t cur_length = 0; size_t block_idx = 0; uint8_t max_type = 0; for (i = 0; i < num_blocks; ++i) { cur_length += block_lengths[i]; if (i + 1 == num_blocks || histogram_symbols[i] != histogram_symbols[i + 1]) { const uint8_t id = (uint8_t)new_index[histogram_symbols[i]]; split->types[block_idx] = id; split->lengths[block_idx] = cur_length; max_type = BROTLI_MAX(uint8_t, max_type, id); cur_length = 0; ++block_idx; } } split->num_blocks = block_idx; split->num_types = (size_t)max_type + 1; } BROTLI_FREE(m, new_index); BROTLI_FREE(m, u32); BROTLI_FREE(m, histogram_symbols); } /* Create BlockSplit (partitioning) given the limits, estimates and "effort" * parameters. * * NB: max_histograms is often less than number of histograms allowed by format; * this is done intentionally, to save some "space" for context-aware * clustering (here entropy is estimated for context-free symbols). */ static void FN(SplitByteVector)(MemoryManager* m, const DataType* data, const size_t length, const size_t symbols_per_histogram, const size_t max_histograms, const size_t sampling_stride_length, const double block_switch_cost, const BrotliEncoderParams* params, BlockSplit* split) { const size_t data_size = FN(HistogramDataSize)(); HistogramType* histograms; HistogramType* tmp; /* Calculate number of histograms; initial estimate is one histogram per * specified amount of symbols; however, this value is capped. */ size_t num_histograms = length / symbols_per_histogram + 1; if (num_histograms > max_histograms) { num_histograms = max_histograms; } /* Corner case: no input. */ if (length == 0) { split->num_types = 1; return; } if (length < kMinLengthForBlockSplitting) { BROTLI_ENSURE_CAPACITY(m, uint8_t, split->types, split->types_alloc_size, split->num_blocks + 1); BROTLI_ENSURE_CAPACITY(m, uint32_t, split->lengths, split->lengths_alloc_size, split->num_blocks + 1); if (BROTLI_IS_OOM(m)) return; split->num_types = 1; split->types[split->num_blocks] = 0; split->lengths[split->num_blocks] = (uint32_t)length; split->num_blocks++; return; } histograms = BROTLI_ALLOC(m, HistogramType, num_histograms + 1); tmp = histograms + num_histograms; if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(histograms)) return; /* Find good entropy codes. */ FN(InitialEntropyCodes)(data, length, sampling_stride_length, num_histograms, histograms); FN(RefineEntropyCodes)(data, length, sampling_stride_length, num_histograms, histograms, tmp); { /* Find a good path through literals with the good entropy codes. */ uint8_t* block_ids = BROTLI_ALLOC(m, uint8_t, length); size_t num_blocks = 0; const size_t bitmaplen = (num_histograms + 7) >> 3; double* insert_cost = BROTLI_ALLOC(m, double, data_size * num_histograms); double* cost = BROTLI_ALLOC(m, double, num_histograms); uint8_t* switch_signal = BROTLI_ALLOC(m, uint8_t, length * bitmaplen); uint16_t* new_id = BROTLI_ALLOC(m, uint16_t, num_histograms); const size_t iters = params->quality < HQ_ZOPFLIFICATION_QUALITY ? 3 : 10; size_t i; if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(block_ids) || BROTLI_IS_NULL(insert_cost) || BROTLI_IS_NULL(cost) || BROTLI_IS_NULL(switch_signal) || BROTLI_IS_NULL(new_id)) { return; } for (i = 0; i < iters; ++i) { num_blocks = FN(FindBlocks)(data, length, block_switch_cost, num_histograms, histograms, insert_cost, cost, switch_signal, block_ids); num_histograms = FN(RemapBlockIds)(block_ids, length, new_id, num_histograms); FN(BuildBlockHistograms)(data, length, block_ids, num_histograms, histograms); } BROTLI_FREE(m, insert_cost); BROTLI_FREE(m, cost); BROTLI_FREE(m, switch_signal); BROTLI_FREE(m, new_id); BROTLI_FREE(m, histograms); FN(ClusterBlocks)(m, data, length, num_blocks, block_ids, split); if (BROTLI_IS_OOM(m)) return; BROTLI_FREE(m, block_ids); } } #undef HistogramType IO-Compress-Brotli-0.019/brotli/c/enc/backward_references_inc.h0000644000175000017500000001776514606651213022507 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: EXPORT_FN, FN */ static BROTLI_NOINLINE void EXPORT_FN(CreateBackwardReferences)( size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, ContextLut literal_context_lut, const BrotliEncoderParams* params, Hasher* hasher, int* dist_cache, size_t* last_insert_len, Command* commands, size_t* num_commands, size_t* num_literals) { HASHER()* privat = &hasher->privat.FN(_); /* Set maximum distance, see section 9.1. of the spec. */ const size_t max_backward_limit = BROTLI_MAX_BACKWARD_LIMIT(params->lgwin); const size_t position_offset = params->stream_offset; const Command* const orig_commands = commands; size_t insert_length = *last_insert_len; const size_t pos_end = position + num_bytes; const size_t store_end = num_bytes >= FN(StoreLookahead)() ? position + num_bytes - FN(StoreLookahead)() + 1 : position; /* For speed up heuristics for random data. */ const size_t random_heuristics_window_size = LiteralSpreeLengthForSparseSearch(params); size_t apply_random_heuristics = position + random_heuristics_window_size; const size_t gap = params->dictionary.compound.total_size; /* Minimum score to accept a backward reference. */ const score_t kMinScore = BROTLI_SCORE_BASE + 100; FN(PrepareDistanceCache)(privat, dist_cache); while (position + FN(HashTypeLength)() < pos_end) { size_t max_length = pos_end - position; size_t max_distance = BROTLI_MIN(size_t, position, max_backward_limit); size_t dictionary_start = BROTLI_MIN(size_t, position + position_offset, max_backward_limit); HasherSearchResult sr; int dict_id = 0; uint8_t p1 = 0; uint8_t p2 = 0; if (params->dictionary.contextual.context_based) { p1 = position >= 1 ? ringbuffer[(size_t)(position - 1) & ringbuffer_mask] : 0; p2 = position >= 2 ? ringbuffer[(size_t)(position - 2) & ringbuffer_mask] : 0; dict_id = params->dictionary.contextual.context_map[ BROTLI_CONTEXT(p1, p2, literal_context_lut)]; } sr.len = 0; sr.len_code_delta = 0; sr.distance = 0; sr.score = kMinScore; FN(FindLongestMatch)(privat, params->dictionary.contextual.dict[dict_id], ringbuffer, ringbuffer_mask, dist_cache, position, max_length, max_distance, dictionary_start + gap, params->dist.max_distance, &sr); if (ENABLE_COMPOUND_DICTIONARY) { LookupCompoundDictionaryMatch(¶ms->dictionary.compound, ringbuffer, ringbuffer_mask, dist_cache, position, max_length, dictionary_start, params->dist.max_distance, &sr); } if (sr.score > kMinScore) { /* Found a match. Let's look for something even better ahead. */ int delayed_backward_references_in_row = 0; --max_length; for (;; --max_length) { const score_t cost_diff_lazy = 175; HasherSearchResult sr2; sr2.len = params->quality < MIN_QUALITY_FOR_EXTENSIVE_REFERENCE_SEARCH ? BROTLI_MIN(size_t, sr.len - 1, max_length) : 0; sr2.len_code_delta = 0; sr2.distance = 0; sr2.score = kMinScore; max_distance = BROTLI_MIN(size_t, position + 1, max_backward_limit); dictionary_start = BROTLI_MIN(size_t, position + 1 + position_offset, max_backward_limit); if (params->dictionary.contextual.context_based) { p2 = p1; p1 = ringbuffer[position & ringbuffer_mask]; dict_id = params->dictionary.contextual.context_map[ BROTLI_CONTEXT(p1, p2, literal_context_lut)]; } FN(FindLongestMatch)(privat, params->dictionary.contextual.dict[dict_id], ringbuffer, ringbuffer_mask, dist_cache, position + 1, max_length, max_distance, dictionary_start + gap, params->dist.max_distance, &sr2); if (ENABLE_COMPOUND_DICTIONARY) { LookupCompoundDictionaryMatch( ¶ms->dictionary.compound, ringbuffer, ringbuffer_mask, dist_cache, position + 1, max_length, dictionary_start, params->dist.max_distance, &sr2); } if (sr2.score >= sr.score + cost_diff_lazy) { /* Ok, let's just write one byte for now and start a match from the next byte. */ ++position; ++insert_length; sr = sr2; if (++delayed_backward_references_in_row < 4 && position + FN(HashTypeLength)() < pos_end) { continue; } } break; } apply_random_heuristics = position + 2 * sr.len + random_heuristics_window_size; dictionary_start = BROTLI_MIN(size_t, position + position_offset, max_backward_limit); { /* The first 16 codes are special short-codes, and the minimum offset is 1. */ size_t distance_code = ComputeDistanceCode( sr.distance, dictionary_start + gap, dist_cache); if ((sr.distance <= (dictionary_start + gap)) && distance_code > 0) { dist_cache[3] = dist_cache[2]; dist_cache[2] = dist_cache[1]; dist_cache[1] = dist_cache[0]; dist_cache[0] = (int)sr.distance; FN(PrepareDistanceCache)(privat, dist_cache); } InitCommand(commands++, ¶ms->dist, insert_length, sr.len, sr.len_code_delta, distance_code); } *num_literals += insert_length; insert_length = 0; /* Put the hash keys into the table, if there are enough bytes left. Depending on the hasher implementation, it can push all positions in the given range or only a subset of them. Avoid hash poisoning with RLE data. */ { size_t range_start = position + 2; size_t range_end = BROTLI_MIN(size_t, position + sr.len, store_end); if (sr.distance < (sr.len >> 2)) { range_start = BROTLI_MIN(size_t, range_end, BROTLI_MAX(size_t, range_start, position + sr.len - (sr.distance << 2))); } FN(StoreRange)(privat, ringbuffer, ringbuffer_mask, range_start, range_end); } position += sr.len; } else { ++insert_length; ++position; /* If we have not seen matches for a long time, we can skip some match lookups. Unsuccessful match lookups are very very expensive and this kind of a heuristic speeds up compression quite a lot. */ if (position > apply_random_heuristics) { /* Going through uncompressible data, jump. */ if (position > apply_random_heuristics + 4 * random_heuristics_window_size) { /* It is quite a long time since we saw a copy, so we assume that this data is not compressible, and store hashes less often. Hashes of non compressible data are less likely to turn out to be useful in the future, too, so we store less of them to not to flood out the hash table of good compressible data. */ const size_t kMargin = BROTLI_MAX(size_t, FN(StoreLookahead)() - 1, 4); size_t pos_jump = BROTLI_MIN(size_t, position + 16, pos_end - kMargin); for (; position < pos_jump; position += 4) { FN(Store)(privat, ringbuffer, ringbuffer_mask, position); insert_length += 4; } } else { const size_t kMargin = BROTLI_MAX(size_t, FN(StoreLookahead)() - 1, 2); size_t pos_jump = BROTLI_MIN(size_t, position + 8, pos_end - kMargin); for (; position < pos_jump; position += 2) { FN(Store)(privat, ringbuffer, ringbuffer_mask, position); insert_length += 2; } } } } } insert_length += pos_end - position; *last_insert_len = insert_length; *num_commands += (size_t)(commands - orig_commands); } IO-Compress-Brotli-0.019/brotli/c/enc/literal_cost.h0000644000175000017500000000162414606651213020346 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Literal cost model to allow backward reference replacement to be efficient. */ #ifndef BROTLI_ENC_LITERAL_COST_H_ #define BROTLI_ENC_LITERAL_COST_H_ #include #include "../common/platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* Estimates how many bits the literals in the interval [pos, pos + len) in the ring-buffer (data, mask) will take entropy coded and writes these estimates to the cost[0..len) array. */ BROTLI_INTERNAL void BrotliEstimateBitCostsForLiterals( size_t pos, size_t len, size_t mask, const uint8_t* data, size_t* histogram, float* cost); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_LITERAL_COST_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/find_match_length.h0000644000175000017500000000422214606651213021314 0ustar timtim/* Copyright 2010 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Function to find maximal matching prefixes of strings. */ #ifndef BROTLI_ENC_FIND_MATCH_LENGTH_H_ #define BROTLI_ENC_FIND_MATCH_LENGTH_H_ #include #include "../common/platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* Separate implementation for little-endian 64-bit targets, for speed. */ #if defined(BROTLI_TZCNT64) && BROTLI_64_BITS && BROTLI_LITTLE_ENDIAN static BROTLI_INLINE size_t FindMatchLengthWithLimit(const uint8_t* s1, const uint8_t* s2, size_t limit) { const uint8_t *s1_orig = s1; for (; limit >= 8; limit -= 8) { uint64_t x = BROTLI_UNALIGNED_LOAD64LE(s2) ^ BROTLI_UNALIGNED_LOAD64LE(s1); s2 += 8; if (x != 0) { size_t matching_bits = (size_t)BROTLI_TZCNT64(x); return (size_t)(s1 - s1_orig) + (matching_bits >> 3); } s1 += 8; } while (limit && *s1 == *s2) { limit--; ++s2; ++s1; } return (size_t)(s1 - s1_orig); } #else static BROTLI_INLINE size_t FindMatchLengthWithLimit(const uint8_t* s1, const uint8_t* s2, size_t limit) { size_t matched = 0; const uint8_t* s2_limit = s2 + limit; const uint8_t* s2_ptr = s2; /* Find out how long the match is. We loop over the data 32 bits at a time until we find a 32-bit block that doesn't match; then we find the first non-matching bit and use that to calculate the total length of the match. */ while (s2_ptr <= s2_limit - 4 && BrotliUnalignedRead32(s2_ptr) == BrotliUnalignedRead32(s1 + matched)) { s2_ptr += 4; matched += 4; } while ((s2_ptr < s2_limit) && (s1[matched] == *s2_ptr)) { ++s2_ptr; ++matched; } return matched; } #endif #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_FIND_MATCH_LENGTH_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/compress_fragment.h0000644000175000017500000000701614606651213021401 0ustar timtim/* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Function for fast encoding of an input fragment, independently from the input history. This function uses one-pass processing: when we find a backward match, we immediately emit the corresponding command and literal codes to the bit stream. */ #ifndef BROTLI_ENC_COMPRESS_FRAGMENT_H_ #define BROTLI_ENC_COMPRESS_FRAGMENT_H_ #include #include "../common/constants.h" #include "../common/platform.h" #include "entropy_encode.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif typedef struct BrotliOnePassArena { uint8_t lit_depth[256]; uint16_t lit_bits[256]; /* Command and distance prefix codes (each 64 symbols, stored back-to-back) used for the next block. The command prefix code is over a smaller alphabet with the following 64 symbols: 0 - 15: insert length code 0, copy length code 0 - 15, same distance 16 - 39: insert length code 0, copy length code 0 - 23 40 - 63: insert length code 0 - 23, copy length code 0 Note that symbols 16 and 40 represent the same code in the full alphabet, but we do not use either of them. */ uint8_t cmd_depth[128]; uint16_t cmd_bits[128]; uint32_t cmd_histo[128]; /* The compressed form of the command and distance prefix codes for the next block. */ uint8_t cmd_code[512]; size_t cmd_code_numbits; HuffmanTree tree[2 * BROTLI_NUM_LITERAL_SYMBOLS + 1]; uint32_t histogram[256]; uint8_t tmp_depth[BROTLI_NUM_COMMAND_SYMBOLS]; uint16_t tmp_bits[64]; } BrotliOnePassArena; /* Compresses "input" string to the "*storage" buffer as one or more complete meta-blocks, and updates the "*storage_ix" bit position. If "is_last" is 1, emits an additional empty last meta-block. "cmd_depth" and "cmd_bits" contain the command and distance prefix codes (see comment in encode.h) used for the encoding of this input fragment. If "is_last" is 0, they are updated to reflect the statistics of this input fragment, to be used for the encoding of the next fragment. "*cmd_code_numbits" is the number of bits of the compressed representation of the command and distance prefix codes, and "cmd_code" is an array of at least "(*cmd_code_numbits + 7) >> 3" size that contains the compressed command and distance prefix codes. If "is_last" is 0, these are also updated to represent the updated "cmd_depth" and "cmd_bits". REQUIRES: "input_size" is greater than zero, or "is_last" is 1. REQUIRES: "input_size" is less or equal to maximal metablock size (1 << 24). REQUIRES: All elements in "table[0..table_size-1]" are initialized to zero. REQUIRES: "table_size" is an odd (9, 11, 13, 15) power of two OUTPUT: maximal copy distance <= |input_size| OUTPUT: maximal copy distance <= BROTLI_MAX_BACKWARD_LIMIT(18) */ BROTLI_INTERNAL void BrotliCompressFragmentFast(BrotliOnePassArena* s, const uint8_t* input, size_t input_size, BROTLI_BOOL is_last, int* table, size_t table_size, size_t* storage_ix, uint8_t* storage); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_COMPRESS_FRAGMENT_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/metablock.c0000644000175000017500000006411214606651213017617 0ustar timtim/* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Algorithms for distributing the literals and commands of a metablock between block types and contexts. */ #include "metablock.h" #include #include "../common/constants.h" #include "../common/context.h" #include "../common/platform.h" #include "bit_cost.h" #include "block_splitter.h" #include "cluster.h" #include "entropy_encode.h" #include "histogram.h" #include "memory.h" #include "quality.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif void BrotliInitDistanceParams(BrotliDistanceParams* dist_params, uint32_t npostfix, uint32_t ndirect, BROTLI_BOOL large_window) { uint32_t alphabet_size_max; uint32_t alphabet_size_limit; uint32_t max_distance; dist_params->distance_postfix_bits = npostfix; dist_params->num_direct_distance_codes = ndirect; alphabet_size_max = BROTLI_DISTANCE_ALPHABET_SIZE( npostfix, ndirect, BROTLI_MAX_DISTANCE_BITS); alphabet_size_limit = alphabet_size_max; max_distance = ndirect + (1U << (BROTLI_MAX_DISTANCE_BITS + npostfix + 2)) - (1U << (npostfix + 2)); if (large_window) { BrotliDistanceCodeLimit limit = BrotliCalculateDistanceCodeLimit( BROTLI_MAX_ALLOWED_DISTANCE, npostfix, ndirect); alphabet_size_max = BROTLI_DISTANCE_ALPHABET_SIZE( npostfix, ndirect, BROTLI_LARGE_MAX_DISTANCE_BITS); alphabet_size_limit = limit.max_alphabet_size; max_distance = limit.max_distance; } dist_params->alphabet_size_max = alphabet_size_max; dist_params->alphabet_size_limit = alphabet_size_limit; dist_params->max_distance = max_distance; } static void RecomputeDistancePrefixes(Command* cmds, size_t num_commands, const BrotliDistanceParams* orig_params, const BrotliDistanceParams* new_params) { size_t i; if (orig_params->distance_postfix_bits == new_params->distance_postfix_bits && orig_params->num_direct_distance_codes == new_params->num_direct_distance_codes) { return; } for (i = 0; i < num_commands; ++i) { Command* cmd = &cmds[i]; if (CommandCopyLen(cmd) && cmd->cmd_prefix_ >= 128) { PrefixEncodeCopyDistance(CommandRestoreDistanceCode(cmd, orig_params), new_params->num_direct_distance_codes, new_params->distance_postfix_bits, &cmd->dist_prefix_, &cmd->dist_extra_); } } } static BROTLI_BOOL ComputeDistanceCost(const Command* cmds, size_t num_commands, const BrotliDistanceParams* orig_params, const BrotliDistanceParams* new_params, double* cost, HistogramDistance* tmp) { size_t i; BROTLI_BOOL equal_params = BROTLI_FALSE; uint16_t dist_prefix; uint32_t dist_extra; double extra_bits = 0.0; HistogramClearDistance(tmp); if (orig_params->distance_postfix_bits == new_params->distance_postfix_bits && orig_params->num_direct_distance_codes == new_params->num_direct_distance_codes) { equal_params = BROTLI_TRUE; } for (i = 0; i < num_commands; i++) { const Command* cmd = &cmds[i]; if (CommandCopyLen(cmd) && cmd->cmd_prefix_ >= 128) { if (equal_params) { dist_prefix = cmd->dist_prefix_; } else { uint32_t distance = CommandRestoreDistanceCode(cmd, orig_params); if (distance > new_params->max_distance) { return BROTLI_FALSE; } PrefixEncodeCopyDistance(distance, new_params->num_direct_distance_codes, new_params->distance_postfix_bits, &dist_prefix, &dist_extra); } HistogramAddDistance(tmp, dist_prefix & 0x3FF); extra_bits += dist_prefix >> 10; } } *cost = BrotliPopulationCostDistance(tmp) + extra_bits; return BROTLI_TRUE; } void BrotliBuildMetaBlock(MemoryManager* m, const uint8_t* ringbuffer, const size_t pos, const size_t mask, BrotliEncoderParams* params, uint8_t prev_byte, uint8_t prev_byte2, Command* cmds, size_t num_commands, ContextType literal_context_mode, MetaBlockSplit* mb) { /* Histogram ids need to fit in one byte. */ static const size_t kMaxNumberOfHistograms = 256; HistogramDistance* distance_histograms; HistogramLiteral* literal_histograms; ContextType* literal_context_modes = NULL; size_t literal_histograms_size; size_t distance_histograms_size; size_t i; size_t literal_context_multiplier = 1; uint32_t npostfix; uint32_t ndirect_msb = 0; BROTLI_BOOL check_orig = BROTLI_TRUE; double best_dist_cost = 1e99; BrotliDistanceParams orig_params = params->dist; BrotliDistanceParams new_params = params->dist; HistogramDistance* tmp = BROTLI_ALLOC(m, HistogramDistance, 1); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(tmp)) return; for (npostfix = 0; npostfix <= BROTLI_MAX_NPOSTFIX; npostfix++) { for (; ndirect_msb < 16; ndirect_msb++) { uint32_t ndirect = ndirect_msb << npostfix; BROTLI_BOOL skip; double dist_cost; BrotliInitDistanceParams(&new_params, npostfix, ndirect, params->large_window); if (npostfix == orig_params.distance_postfix_bits && ndirect == orig_params.num_direct_distance_codes) { check_orig = BROTLI_FALSE; } skip = !ComputeDistanceCost( cmds, num_commands, &orig_params, &new_params, &dist_cost, tmp); if (skip || (dist_cost > best_dist_cost)) { break; } best_dist_cost = dist_cost; params->dist = new_params; } if (ndirect_msb > 0) ndirect_msb--; ndirect_msb /= 2; } if (check_orig) { double dist_cost; ComputeDistanceCost(cmds, num_commands, &orig_params, &orig_params, &dist_cost, tmp); if (dist_cost < best_dist_cost) { /* NB: currently unused; uncomment when more param tuning is added. */ /* best_dist_cost = dist_cost; */ params->dist = orig_params; } } BROTLI_FREE(m, tmp); RecomputeDistancePrefixes(cmds, num_commands, &orig_params, ¶ms->dist); BrotliSplitBlock(m, cmds, num_commands, ringbuffer, pos, mask, params, &mb->literal_split, &mb->command_split, &mb->distance_split); if (BROTLI_IS_OOM(m)) return; if (!params->disable_literal_context_modeling) { literal_context_multiplier = 1 << BROTLI_LITERAL_CONTEXT_BITS; literal_context_modes = BROTLI_ALLOC(m, ContextType, mb->literal_split.num_types); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(literal_context_modes)) return; for (i = 0; i < mb->literal_split.num_types; ++i) { literal_context_modes[i] = literal_context_mode; } } literal_histograms_size = mb->literal_split.num_types * literal_context_multiplier; literal_histograms = BROTLI_ALLOC(m, HistogramLiteral, literal_histograms_size); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(literal_histograms)) return; ClearHistogramsLiteral(literal_histograms, literal_histograms_size); distance_histograms_size = mb->distance_split.num_types << BROTLI_DISTANCE_CONTEXT_BITS; distance_histograms = BROTLI_ALLOC(m, HistogramDistance, distance_histograms_size); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(distance_histograms)) return; ClearHistogramsDistance(distance_histograms, distance_histograms_size); BROTLI_DCHECK(mb->command_histograms == 0); mb->command_histograms_size = mb->command_split.num_types; mb->command_histograms = BROTLI_ALLOC(m, HistogramCommand, mb->command_histograms_size); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(mb->command_histograms)) return; ClearHistogramsCommand(mb->command_histograms, mb->command_histograms_size); BrotliBuildHistogramsWithContext(cmds, num_commands, &mb->literal_split, &mb->command_split, &mb->distance_split, ringbuffer, pos, mask, prev_byte, prev_byte2, literal_context_modes, literal_histograms, mb->command_histograms, distance_histograms); BROTLI_FREE(m, literal_context_modes); BROTLI_DCHECK(mb->literal_context_map == 0); mb->literal_context_map_size = mb->literal_split.num_types << BROTLI_LITERAL_CONTEXT_BITS; mb->literal_context_map = BROTLI_ALLOC(m, uint32_t, mb->literal_context_map_size); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(mb->literal_context_map)) return; BROTLI_DCHECK(mb->literal_histograms == 0); mb->literal_histograms_size = mb->literal_context_map_size; mb->literal_histograms = BROTLI_ALLOC(m, HistogramLiteral, mb->literal_histograms_size); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(mb->literal_histograms)) return; BrotliClusterHistogramsLiteral(m, literal_histograms, literal_histograms_size, kMaxNumberOfHistograms, mb->literal_histograms, &mb->literal_histograms_size, mb->literal_context_map); if (BROTLI_IS_OOM(m)) return; BROTLI_FREE(m, literal_histograms); if (params->disable_literal_context_modeling) { /* Distribute assignment to all contexts. */ for (i = mb->literal_split.num_types; i != 0;) { size_t j = 0; i--; for (; j < (1 << BROTLI_LITERAL_CONTEXT_BITS); j++) { mb->literal_context_map[(i << BROTLI_LITERAL_CONTEXT_BITS) + j] = mb->literal_context_map[i]; } } } BROTLI_DCHECK(mb->distance_context_map == 0); mb->distance_context_map_size = mb->distance_split.num_types << BROTLI_DISTANCE_CONTEXT_BITS; mb->distance_context_map = BROTLI_ALLOC(m, uint32_t, mb->distance_context_map_size); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(mb->distance_context_map)) return; BROTLI_DCHECK(mb->distance_histograms == 0); mb->distance_histograms_size = mb->distance_context_map_size; mb->distance_histograms = BROTLI_ALLOC(m, HistogramDistance, mb->distance_histograms_size); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(mb->distance_histograms)) return; BrotliClusterHistogramsDistance(m, distance_histograms, mb->distance_context_map_size, kMaxNumberOfHistograms, mb->distance_histograms, &mb->distance_histograms_size, mb->distance_context_map); if (BROTLI_IS_OOM(m)) return; BROTLI_FREE(m, distance_histograms); } #define FN(X) X ## Literal #include "metablock_inc.h" /* NOLINT(build/include) */ #undef FN #define FN(X) X ## Command #include "metablock_inc.h" /* NOLINT(build/include) */ #undef FN #define FN(X) X ## Distance #include "metablock_inc.h" /* NOLINT(build/include) */ #undef FN #define BROTLI_MAX_STATIC_CONTEXTS 13 /* Greedy block splitter for one block category (literal, command or distance). Gathers histograms for all context buckets. */ typedef struct ContextBlockSplitter { /* Alphabet size of particular block category. */ size_t alphabet_size_; size_t num_contexts_; size_t max_block_types_; /* We collect at least this many symbols for each block. */ size_t min_block_size_; /* We merge histograms A and B if entropy(A+B) < entropy(A) + entropy(B) + split_threshold_, where A is the current histogram and B is the histogram of the last or the second last block type. */ double split_threshold_; size_t num_blocks_; BlockSplit* split_; /* not owned */ HistogramLiteral* histograms_; /* not owned */ size_t* histograms_size_; /* not owned */ /* The number of symbols that we want to collect before deciding on whether or not to merge the block with a previous one or emit a new block. */ size_t target_block_size_; /* The number of symbols in the current histogram. */ size_t block_size_; /* Offset of the current histogram. */ size_t curr_histogram_ix_; /* Offset of the histograms of the previous two block types. */ size_t last_histogram_ix_[2]; /* Entropy of the previous two block types. */ double last_entropy_[2 * BROTLI_MAX_STATIC_CONTEXTS]; /* The number of times we merged the current block with the last one. */ size_t merge_last_count_; } ContextBlockSplitter; static void InitContextBlockSplitter( MemoryManager* m, ContextBlockSplitter* self, size_t alphabet_size, size_t num_contexts, size_t min_block_size, double split_threshold, size_t num_symbols, BlockSplit* split, HistogramLiteral** histograms, size_t* histograms_size) { size_t max_num_blocks = num_symbols / min_block_size + 1; size_t max_num_types; BROTLI_DCHECK(num_contexts <= BROTLI_MAX_STATIC_CONTEXTS); self->alphabet_size_ = alphabet_size; self->num_contexts_ = num_contexts; self->max_block_types_ = BROTLI_MAX_NUMBER_OF_BLOCK_TYPES / num_contexts; self->min_block_size_ = min_block_size; self->split_threshold_ = split_threshold; self->num_blocks_ = 0; self->split_ = split; self->histograms_size_ = histograms_size; self->target_block_size_ = min_block_size; self->block_size_ = 0; self->curr_histogram_ix_ = 0; self->merge_last_count_ = 0; /* We have to allocate one more histogram than the maximum number of block types for the current histogram when the meta-block is too big. */ max_num_types = BROTLI_MIN(size_t, max_num_blocks, self->max_block_types_ + 1); BROTLI_ENSURE_CAPACITY(m, uint8_t, split->types, split->types_alloc_size, max_num_blocks); BROTLI_ENSURE_CAPACITY(m, uint32_t, split->lengths, split->lengths_alloc_size, max_num_blocks); if (BROTLI_IS_OOM(m)) return; split->num_blocks = max_num_blocks; if (BROTLI_IS_OOM(m)) return; BROTLI_DCHECK(*histograms == 0); *histograms_size = max_num_types * num_contexts; *histograms = BROTLI_ALLOC(m, HistogramLiteral, *histograms_size); self->histograms_ = *histograms; if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(*histograms)) return; /* Clear only current histogram. */ ClearHistogramsLiteral(&self->histograms_[0], num_contexts); self->last_histogram_ix_[0] = self->last_histogram_ix_[1] = 0; } /* Does either of three things: (1) emits the current block with a new block type; (2) emits the current block with the type of the second last block; (3) merges the current block with the last block. */ static void ContextBlockSplitterFinishBlock( ContextBlockSplitter* self, MemoryManager* m, BROTLI_BOOL is_final) { BlockSplit* split = self->split_; const size_t num_contexts = self->num_contexts_; double* last_entropy = self->last_entropy_; HistogramLiteral* histograms = self->histograms_; if (self->block_size_ < self->min_block_size_) { self->block_size_ = self->min_block_size_; } if (self->num_blocks_ == 0) { size_t i; /* Create first block. */ split->lengths[0] = (uint32_t)self->block_size_; split->types[0] = 0; for (i = 0; i < num_contexts; ++i) { last_entropy[i] = BitsEntropy(histograms[i].data_, self->alphabet_size_); last_entropy[num_contexts + i] = last_entropy[i]; } ++self->num_blocks_; ++split->num_types; self->curr_histogram_ix_ += num_contexts; if (self->curr_histogram_ix_ < *self->histograms_size_) { ClearHistogramsLiteral( &self->histograms_[self->curr_histogram_ix_], self->num_contexts_); } self->block_size_ = 0; } else if (self->block_size_ > 0) { /* Try merging the set of histograms for the current block type with the respective set of histograms for the last and second last block types. Decide over the split based on the total reduction of entropy across all contexts. */ double entropy[BROTLI_MAX_STATIC_CONTEXTS]; HistogramLiteral* combined_histo = BROTLI_ALLOC(m, HistogramLiteral, 2 * num_contexts); double combined_entropy[2 * BROTLI_MAX_STATIC_CONTEXTS]; double diff[2] = { 0.0 }; size_t i; if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(combined_histo)) return; for (i = 0; i < num_contexts; ++i) { size_t curr_histo_ix = self->curr_histogram_ix_ + i; size_t j; entropy[i] = BitsEntropy(histograms[curr_histo_ix].data_, self->alphabet_size_); for (j = 0; j < 2; ++j) { size_t jx = j * num_contexts + i; size_t last_histogram_ix = self->last_histogram_ix_[j] + i; combined_histo[jx] = histograms[curr_histo_ix]; HistogramAddHistogramLiteral(&combined_histo[jx], &histograms[last_histogram_ix]); combined_entropy[jx] = BitsEntropy( &combined_histo[jx].data_[0], self->alphabet_size_); diff[j] += combined_entropy[jx] - entropy[i] - last_entropy[jx]; } } if (split->num_types < self->max_block_types_ && diff[0] > self->split_threshold_ && diff[1] > self->split_threshold_) { /* Create new block. */ split->lengths[self->num_blocks_] = (uint32_t)self->block_size_; split->types[self->num_blocks_] = (uint8_t)split->num_types; self->last_histogram_ix_[1] = self->last_histogram_ix_[0]; self->last_histogram_ix_[0] = split->num_types * num_contexts; for (i = 0; i < num_contexts; ++i) { last_entropy[num_contexts + i] = last_entropy[i]; last_entropy[i] = entropy[i]; } ++self->num_blocks_; ++split->num_types; self->curr_histogram_ix_ += num_contexts; if (self->curr_histogram_ix_ < *self->histograms_size_) { ClearHistogramsLiteral( &self->histograms_[self->curr_histogram_ix_], self->num_contexts_); } self->block_size_ = 0; self->merge_last_count_ = 0; self->target_block_size_ = self->min_block_size_; } else if (diff[1] < diff[0] - 20.0) { /* Combine this block with second last block. */ split->lengths[self->num_blocks_] = (uint32_t)self->block_size_; split->types[self->num_blocks_] = split->types[self->num_blocks_ - 2]; BROTLI_SWAP(size_t, self->last_histogram_ix_, 0, 1); for (i = 0; i < num_contexts; ++i) { histograms[self->last_histogram_ix_[0] + i] = combined_histo[num_contexts + i]; last_entropy[num_contexts + i] = last_entropy[i]; last_entropy[i] = combined_entropy[num_contexts + i]; HistogramClearLiteral(&histograms[self->curr_histogram_ix_ + i]); } ++self->num_blocks_; self->block_size_ = 0; self->merge_last_count_ = 0; self->target_block_size_ = self->min_block_size_; } else { /* Combine this block with last block. */ split->lengths[self->num_blocks_ - 1] += (uint32_t)self->block_size_; for (i = 0; i < num_contexts; ++i) { histograms[self->last_histogram_ix_[0] + i] = combined_histo[i]; last_entropy[i] = combined_entropy[i]; if (split->num_types == 1) { last_entropy[num_contexts + i] = last_entropy[i]; } HistogramClearLiteral(&histograms[self->curr_histogram_ix_ + i]); } self->block_size_ = 0; if (++self->merge_last_count_ > 1) { self->target_block_size_ += self->min_block_size_; } } BROTLI_FREE(m, combined_histo); } if (is_final) { *self->histograms_size_ = split->num_types * num_contexts; split->num_blocks = self->num_blocks_; } } /* Adds the next symbol to the current block type and context. When the current block reaches the target size, decides on merging the block. */ static void ContextBlockSplitterAddSymbol( ContextBlockSplitter* self, MemoryManager* m, size_t symbol, size_t context) { HistogramAddLiteral(&self->histograms_[self->curr_histogram_ix_ + context], symbol); ++self->block_size_; if (self->block_size_ == self->target_block_size_) { ContextBlockSplitterFinishBlock(self, m, /* is_final = */ BROTLI_FALSE); if (BROTLI_IS_OOM(m)) return; } } static void MapStaticContexts(MemoryManager* m, size_t num_contexts, const uint32_t* static_context_map, MetaBlockSplit* mb) { size_t i; BROTLI_DCHECK(mb->literal_context_map == 0); mb->literal_context_map_size = mb->literal_split.num_types << BROTLI_LITERAL_CONTEXT_BITS; mb->literal_context_map = BROTLI_ALLOC(m, uint32_t, mb->literal_context_map_size); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(mb->literal_context_map)) return; for (i = 0; i < mb->literal_split.num_types; ++i) { uint32_t offset = (uint32_t)(i * num_contexts); size_t j; for (j = 0; j < (1u << BROTLI_LITERAL_CONTEXT_BITS); ++j) { mb->literal_context_map[(i << BROTLI_LITERAL_CONTEXT_BITS) + j] = offset + static_context_map[j]; } } } typedef struct GreedyMetablockArena { union { BlockSplitterLiteral plain; ContextBlockSplitter ctx; } lit_blocks; BlockSplitterCommand cmd_blocks; BlockSplitterDistance dist_blocks; } GreedyMetablockArena; static BROTLI_INLINE void BrotliBuildMetaBlockGreedyInternal( MemoryManager* m, GreedyMetablockArena* arena, const uint8_t* ringbuffer, size_t pos, size_t mask, uint8_t prev_byte, uint8_t prev_byte2, ContextLut literal_context_lut, const size_t num_contexts, const uint32_t* static_context_map, const Command* commands, size_t n_commands, MetaBlockSplit* mb) { size_t num_literals = 0; size_t i; for (i = 0; i < n_commands; ++i) { num_literals += commands[i].insert_len_; } if (num_contexts == 1) { InitBlockSplitterLiteral(m, &arena->lit_blocks.plain, 256, 512, 400.0, num_literals, &mb->literal_split, &mb->literal_histograms, &mb->literal_histograms_size); } else { InitContextBlockSplitter(m, &arena->lit_blocks.ctx, 256, num_contexts, 512, 400.0, num_literals, &mb->literal_split, &mb->literal_histograms, &mb->literal_histograms_size); } if (BROTLI_IS_OOM(m)) return; InitBlockSplitterCommand(m, &arena->cmd_blocks, BROTLI_NUM_COMMAND_SYMBOLS, 1024, 500.0, n_commands, &mb->command_split, &mb->command_histograms, &mb->command_histograms_size); if (BROTLI_IS_OOM(m)) return; InitBlockSplitterDistance(m, &arena->dist_blocks, 64, 512, 100.0, n_commands, &mb->distance_split, &mb->distance_histograms, &mb->distance_histograms_size); if (BROTLI_IS_OOM(m)) return; for (i = 0; i < n_commands; ++i) { const Command cmd = commands[i]; size_t j; BlockSplitterAddSymbolCommand(&arena->cmd_blocks, cmd.cmd_prefix_); for (j = cmd.insert_len_; j != 0; --j) { uint8_t literal = ringbuffer[pos & mask]; if (num_contexts == 1) { BlockSplitterAddSymbolLiteral(&arena->lit_blocks.plain, literal); } else { size_t context = BROTLI_CONTEXT(prev_byte, prev_byte2, literal_context_lut); ContextBlockSplitterAddSymbol(&arena->lit_blocks.ctx, m, literal, static_context_map[context]); if (BROTLI_IS_OOM(m)) return; } prev_byte2 = prev_byte; prev_byte = literal; ++pos; } pos += CommandCopyLen(&cmd); if (CommandCopyLen(&cmd)) { prev_byte2 = ringbuffer[(pos - 2) & mask]; prev_byte = ringbuffer[(pos - 1) & mask]; if (cmd.cmd_prefix_ >= 128) { BlockSplitterAddSymbolDistance( &arena->dist_blocks, cmd.dist_prefix_ & 0x3FF); } } } if (num_contexts == 1) { BlockSplitterFinishBlockLiteral( &arena->lit_blocks.plain, /* is_final = */ BROTLI_TRUE); } else { ContextBlockSplitterFinishBlock( &arena->lit_blocks.ctx, m, /* is_final = */ BROTLI_TRUE); if (BROTLI_IS_OOM(m)) return; } BlockSplitterFinishBlockCommand( &arena->cmd_blocks, /* is_final = */ BROTLI_TRUE); BlockSplitterFinishBlockDistance( &arena->dist_blocks, /* is_final = */ BROTLI_TRUE); if (num_contexts > 1) { MapStaticContexts(m, num_contexts, static_context_map, mb); } } void BrotliBuildMetaBlockGreedy(MemoryManager* m, const uint8_t* ringbuffer, size_t pos, size_t mask, uint8_t prev_byte, uint8_t prev_byte2, ContextLut literal_context_lut, size_t num_contexts, const uint32_t* static_context_map, const Command* commands, size_t n_commands, MetaBlockSplit* mb) { GreedyMetablockArena* arena = BROTLI_ALLOC(m, GreedyMetablockArena, 1); if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(arena)) return; if (num_contexts == 1) { BrotliBuildMetaBlockGreedyInternal(m, arena, ringbuffer, pos, mask, prev_byte, prev_byte2, literal_context_lut, 1, NULL, commands, n_commands, mb); } else { BrotliBuildMetaBlockGreedyInternal(m, arena, ringbuffer, pos, mask, prev_byte, prev_byte2, literal_context_lut, num_contexts, static_context_map, commands, n_commands, mb); } BROTLI_FREE(m, arena); } void BrotliOptimizeHistograms(uint32_t num_distance_codes, MetaBlockSplit* mb) { uint8_t good_for_rle[BROTLI_NUM_COMMAND_SYMBOLS]; size_t i; for (i = 0; i < mb->literal_histograms_size; ++i) { BrotliOptimizeHuffmanCountsForRle(256, mb->literal_histograms[i].data_, good_for_rle); } for (i = 0; i < mb->command_histograms_size; ++i) { BrotliOptimizeHuffmanCountsForRle(BROTLI_NUM_COMMAND_SYMBOLS, mb->command_histograms[i].data_, good_for_rle); } for (i = 0; i < mb->distance_histograms_size; ++i) { BrotliOptimizeHuffmanCountsForRle(num_distance_codes, mb->distance_histograms[i].data_, good_for_rle); } } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/enc/bit_cost.h0000644000175000017500000000322514606651213017467 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Functions to estimate the bit cost of Huffman trees. */ #ifndef BROTLI_ENC_BIT_COST_H_ #define BROTLI_ENC_BIT_COST_H_ #include #include "../common/platform.h" #include "fast_log.h" #include "histogram.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif static BROTLI_INLINE double ShannonEntropy( const uint32_t* population, size_t size, size_t* total) { size_t sum = 0; double retval = 0; const uint32_t* population_end = population + size; size_t p; if (size & 1) { goto odd_number_of_elements_left; } while (population < population_end) { p = *population++; sum += p; retval -= (double)p * FastLog2(p); odd_number_of_elements_left: p = *population++; sum += p; retval -= (double)p * FastLog2(p); } if (sum) retval += (double)sum * FastLog2(sum); *total = sum; return retval; } static BROTLI_INLINE double BitsEntropy( const uint32_t* population, size_t size) { size_t sum; double retval = ShannonEntropy(population, size, &sum); if (retval < (double)sum) { /* At least one bit per literal is needed. */ retval = (double)sum; } return retval; } BROTLI_INTERNAL double BrotliPopulationCostLiteral(const HistogramLiteral*); BROTLI_INTERNAL double BrotliPopulationCostCommand(const HistogramCommand*); BROTLI_INTERNAL double BrotliPopulationCostDistance(const HistogramDistance*); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_BIT_COST_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/encoder_dict.h0000644000175000017500000001166614606651213020313 0ustar timtim/* Copyright 2017 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ #ifndef BROTLI_ENC_ENCODER_DICT_H_ #define BROTLI_ENC_ENCODER_DICT_H_ #include #include #include "../common/dictionary.h" #include "../common/platform.h" #include "compound_dictionary.h" #include "memory.h" #include "static_dict_lut.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* Dictionary hierarchy for Encoder: -SharedEncoderDictionary --CompoundDictionary ---PreparedDictionary [up to 15x] = prefix dictionary with precomputed hashes --ContextualEncoderDictionary ---BrotliEncoderDictionary [up to 64x] = for each context, precomputed static dictionary with words + transforms Dictionary hiearchy from common: similar, but without precomputed hashes -BrotliSharedDictionary --BrotliDictionary [up to 64x] --BrotliTransforms [up to 64x] --const uint8_t* prefix [up to 15x]: compound dictionaries */ typedef struct BrotliTrieNode { uint8_t single; /* if 1, sub is a single node for c instead of 256 */ uint8_t c; uint8_t len_; /* untransformed length */ uint32_t idx_; /* word index + num words * transform index */ uint32_t sub; /* index of sub node(s) in the pool */ } BrotliTrieNode; typedef struct BrotliTrie { BrotliTrieNode* pool; size_t pool_capacity; size_t pool_size; BrotliTrieNode root; } BrotliTrie; #if defined(BROTLI_EXPERIMENTAL) BROTLI_INTERNAL const BrotliTrieNode* BrotliTrieSub(const BrotliTrie* trie, const BrotliTrieNode* node, uint8_t c); #endif /* BROTLI_EXPERIMENTAL */ /* Dictionary data (words and transforms) for 1 possible context */ typedef struct BrotliEncoderDictionary { const BrotliDictionary* words; uint32_t num_transforms; /* cut off for fast encoder */ uint32_t cutoffTransformsCount; uint64_t cutoffTransforms; /* from dictionary_hash.h, for fast encoder */ const uint16_t* hash_table_words; const uint8_t* hash_table_lengths; /* from static_dict_lut.h, for slow encoder */ const uint16_t* buckets; const DictWord* dict_words; /* Heavy version, for use by slow encoder when there are custom transforms. Contains every possible transformed dictionary word in a trie. It encodes about as fast as the non-heavy encoder but consumes a lot of memory and takes time to build. */ BrotliTrie trie; BROTLI_BOOL has_words_heavy; /* Reference to other dictionaries. */ const struct ContextualEncoderDictionary* parent; /* Allocated memory, used only when not using the Brotli defaults */ uint16_t* hash_table_data_words_; uint8_t* hash_table_data_lengths_; size_t buckets_alloc_size_; uint16_t* buckets_data_; size_t dict_words_alloc_size_; DictWord* dict_words_data_; BrotliDictionary* words_instance_; } BrotliEncoderDictionary; /* Dictionary data for all 64 contexts */ typedef struct ContextualEncoderDictionary { BROTLI_BOOL context_based; uint8_t num_dictionaries; uint8_t context_map[SHARED_BROTLI_NUM_DICTIONARY_CONTEXTS]; const BrotliEncoderDictionary* dict[SHARED_BROTLI_NUM_DICTIONARY_CONTEXTS]; /* If num_instances_ is 1, instance_ is used, else dynamic allocation with instances_ is used. */ size_t num_instances_; BrotliEncoderDictionary instance_; BrotliEncoderDictionary* instances_; } ContextualEncoderDictionary; typedef struct SharedEncoderDictionary { /* Magic value to distinguish this struct from PreparedDictionary for certain external usages. */ uint32_t magic; /* LZ77 prefix, compound dictionary */ CompoundDictionary compound; /* Custom static dictionary (optionally context-based) */ ContextualEncoderDictionary contextual; /* The maximum quality the dictionary was computed for */ int max_quality; } SharedEncoderDictionary; typedef struct ManagedDictionary { uint32_t magic; MemoryManager memory_manager_; uint32_t* dictionary; } ManagedDictionary; /* Initializes to the brotli built-in dictionary */ BROTLI_INTERNAL void BrotliInitSharedEncoderDictionary( SharedEncoderDictionary* dict); #if defined(BROTLI_EXPERIMENTAL) /* Initializes to shared dictionary that will be parsed from encoded_dict. Requires that you keep the encoded_dict buffer around, parts of data will point to it. */ BROTLI_INTERNAL BROTLI_BOOL BrotliInitCustomSharedEncoderDictionary( MemoryManager* m, const uint8_t* encoded_dict, size_t size, int quality, SharedEncoderDictionary* dict); #endif /* BROTLI_EXPERIMENTAL */ BROTLI_INTERNAL void BrotliCleanupSharedEncoderDictionary( MemoryManager* m, SharedEncoderDictionary* dict); BROTLI_INTERNAL ManagedDictionary* BrotliCreateManagedDictionary( brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque); BROTLI_INTERNAL void BrotliDestroyManagedDictionary( ManagedDictionary* dictionary); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_ENCODER_DICT_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/hash_forgetful_chain_inc.h0000644000175000017500000002533314606651213022660 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2016 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: FN, BUCKET_BITS, NUM_BANKS, BANK_BITS, NUM_LAST_DISTANCES_TO_CHECK */ /* A (forgetful) hash table to the data seen by the compressor, to help create backward references to previous data. Hashes are stored in chains which are bucketed to groups. Group of chains share a storage "bank". When more than "bank size" chain nodes are added, oldest nodes are replaced; this way several chains may share a tail. */ #define HashForgetfulChain HASHER() #define BANK_SIZE (1 << BANK_BITS) /* Number of hash buckets. */ #define BUCKET_SIZE (1 << BUCKET_BITS) #define CAPPED_CHAINS 0 static BROTLI_INLINE size_t FN(HashTypeLength)(void) { return 4; } static BROTLI_INLINE size_t FN(StoreLookahead)(void) { return 4; } /* HashBytes is the function that chooses the bucket to place the address in.*/ static BROTLI_INLINE size_t FN(HashBytes)(const uint8_t* BROTLI_RESTRICT data) { const uint32_t h = BROTLI_UNALIGNED_LOAD32LE(data) * kHashMul32; /* The higher bits contain more mixture from the multiplication, so we take our results from there. */ return h >> (32 - BUCKET_BITS); } typedef struct FN(Slot) { uint16_t delta; uint16_t next; } FN(Slot); typedef struct FN(Bank) { FN(Slot) slots[BANK_SIZE]; } FN(Bank); typedef struct HashForgetfulChain { uint16_t free_slot_idx[NUM_BANKS]; /* Up to 1KiB. Move to dynamic? */ size_t max_hops; /* Shortcuts. */ void* extra[2]; HasherCommon* common; /* --- Dynamic size members --- */ /* uint32_t addr[BUCKET_SIZE]; */ /* uint16_t head[BUCKET_SIZE]; */ /* Truncated hash used for quick rejection of "distance cache" candidates. */ /* uint8_t tiny_hash[65536];*/ /* FN(Bank) banks[NUM_BANKS]; */ } HashForgetfulChain; static uint32_t* FN(Addr)(void* extra) { return (uint32_t*)extra; } static uint16_t* FN(Head)(void* extra) { return (uint16_t*)(&FN(Addr)(extra)[BUCKET_SIZE]); } static uint8_t* FN(TinyHash)(void* extra) { return (uint8_t*)(&FN(Head)(extra)[BUCKET_SIZE]); } static FN(Bank)* FN(Banks)(void* extra) { return (FN(Bank)*)(extra); } static void FN(Initialize)( HasherCommon* common, HashForgetfulChain* BROTLI_RESTRICT self, const BrotliEncoderParams* params) { self->common = common; self->extra[0] = common->extra[0]; self->extra[1] = common->extra[1]; self->max_hops = (params->quality > 6 ? 7u : 8u) << (params->quality - 4); } static void FN(Prepare)( HashForgetfulChain* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, size_t input_size, const uint8_t* BROTLI_RESTRICT data) { uint32_t* BROTLI_RESTRICT addr = FN(Addr)(self->extra[0]); uint16_t* BROTLI_RESTRICT head = FN(Head)(self->extra[0]); uint8_t* BROTLI_RESTRICT tiny_hash = FN(TinyHash)(self->extra[0]); /* Partial preparation is 100 times slower (per socket). */ size_t partial_prepare_threshold = BUCKET_SIZE >> 6; if (one_shot && input_size <= partial_prepare_threshold) { size_t i; for (i = 0; i < input_size; ++i) { size_t bucket = FN(HashBytes)(&data[i]); /* See InitEmpty comment. */ addr[bucket] = 0xCCCCCCCC; head[bucket] = 0xCCCC; } } else { /* Fill |addr| array with 0xCCCCCCCC value. Because of wrapping, position processed by hasher never reaches 3GB + 64M; this makes all new chains to be terminated after the first node. */ memset(addr, 0xCC, sizeof(uint32_t) * BUCKET_SIZE); memset(head, 0, sizeof(uint16_t) * BUCKET_SIZE); } memset(tiny_hash, 0, sizeof(uint8_t) * 65536); memset(self->free_slot_idx, 0, sizeof(self->free_slot_idx)); } static BROTLI_INLINE void FN(HashMemAllocInBytes)( const BrotliEncoderParams* params, BROTLI_BOOL one_shot, size_t input_size, size_t* alloc_size) { BROTLI_UNUSED(params); BROTLI_UNUSED(one_shot); BROTLI_UNUSED(input_size); alloc_size[0] = sizeof(uint32_t) * BUCKET_SIZE + sizeof(uint16_t) * BUCKET_SIZE + sizeof(uint8_t) * 65536; alloc_size[1] = sizeof(FN(Bank)) * NUM_BANKS; } /* Look at 4 bytes at &data[ix & mask]. Compute a hash from these, and prepend node to corresponding chain; also update tiny_hash for current position. */ static BROTLI_INLINE void FN(Store)(HashForgetfulChain* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix) { uint32_t* BROTLI_RESTRICT addr = FN(Addr)(self->extra[0]); uint16_t* BROTLI_RESTRICT head = FN(Head)(self->extra[0]); uint8_t* BROTLI_RESTRICT tiny_hash = FN(TinyHash)(self->extra[0]); FN(Bank)* BROTLI_RESTRICT banks = FN(Banks)(self->extra[1]); const size_t key = FN(HashBytes)(&data[ix & mask]); const size_t bank = key & (NUM_BANKS - 1); const size_t idx = self->free_slot_idx[bank]++ & (BANK_SIZE - 1); size_t delta = ix - addr[key]; tiny_hash[(uint16_t)ix] = (uint8_t)key; if (delta > 0xFFFF) delta = CAPPED_CHAINS ? 0 : 0xFFFF; banks[bank].slots[idx].delta = (uint16_t)delta; banks[bank].slots[idx].next = head[key]; addr[key] = (uint32_t)ix; head[key] = (uint16_t)idx; } static BROTLI_INLINE void FN(StoreRange)( HashForgetfulChain* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix_start, const size_t ix_end) { size_t i; for (i = ix_start; i < ix_end; ++i) { FN(Store)(self, data, mask, i); } } static BROTLI_INLINE void FN(StitchToPreviousBlock)( HashForgetfulChain* BROTLI_RESTRICT self, size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ring_buffer_mask) { if (num_bytes >= FN(HashTypeLength)() - 1 && position >= 3) { /* Prepare the hashes for three last bytes of the last write. These could not be calculated before, since they require knowledge of both the previous and the current block. */ FN(Store)(self, ringbuffer, ring_buffer_mask, position - 3); FN(Store)(self, ringbuffer, ring_buffer_mask, position - 2); FN(Store)(self, ringbuffer, ring_buffer_mask, position - 1); } } static BROTLI_INLINE void FN(PrepareDistanceCache)( HashForgetfulChain* BROTLI_RESTRICT self, int* BROTLI_RESTRICT distance_cache) { BROTLI_UNUSED(self); PrepareDistanceCache(distance_cache, NUM_LAST_DISTANCES_TO_CHECK); } /* Find a longest backward match of &data[cur_ix] up to the length of max_length and stores the position cur_ix in the hash table. REQUIRES: FN(PrepareDistanceCache) must be invoked for current distance cache values; if this method is invoked repeatedly with the same distance cache values, it is enough to invoke FN(PrepareDistanceCache) once. Does not look for matches longer than max_length. Does not look for matches further away than max_backward. Writes the best match into |out|. |out|->score is updated only if a better match is found. */ static BROTLI_INLINE void FN(FindLongestMatch)( HashForgetfulChain* BROTLI_RESTRICT self, const BrotliEncoderDictionary* dictionary, const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, const int* BROTLI_RESTRICT distance_cache, const size_t cur_ix, const size_t max_length, const size_t max_backward, const size_t dictionary_distance, const size_t max_distance, HasherSearchResult* BROTLI_RESTRICT out) { uint32_t* BROTLI_RESTRICT addr = FN(Addr)(self->extra[0]); uint16_t* BROTLI_RESTRICT head = FN(Head)(self->extra[0]); uint8_t* BROTLI_RESTRICT tiny_hashes = FN(TinyHash)(self->extra[0]); FN(Bank)* BROTLI_RESTRICT banks = FN(Banks)(self->extra[1]); const size_t cur_ix_masked = cur_ix & ring_buffer_mask; /* Don't accept a short copy from far away. */ score_t min_score = out->score; score_t best_score = out->score; size_t best_len = out->len; size_t i; const size_t key = FN(HashBytes)(&data[cur_ix_masked]); const uint8_t tiny_hash = (uint8_t)(key); out->len = 0; out->len_code_delta = 0; /* Try last distance first. */ for (i = 0; i < NUM_LAST_DISTANCES_TO_CHECK; ++i) { const size_t backward = (size_t)distance_cache[i]; size_t prev_ix = (cur_ix - backward); /* For distance code 0 we want to consider 2-byte matches. */ if (i > 0 && tiny_hashes[(uint16_t)prev_ix] != tiny_hash) continue; if (prev_ix >= cur_ix || backward > max_backward) { continue; } prev_ix &= ring_buffer_mask; { const size_t len = FindMatchLengthWithLimit(&data[prev_ix], &data[cur_ix_masked], max_length); if (len >= 2) { score_t score = BackwardReferenceScoreUsingLastDistance(len); if (best_score < score) { if (i != 0) score -= BackwardReferencePenaltyUsingLastDistance(i); if (best_score < score) { best_score = score; best_len = len; out->len = best_len; out->distance = backward; out->score = best_score; } } } } } { const size_t bank = key & (NUM_BANKS - 1); size_t backward = 0; size_t hops = self->max_hops; size_t delta = cur_ix - addr[key]; size_t slot = head[key]; while (hops--) { size_t prev_ix; size_t last = slot; backward += delta; if (backward > max_backward || (CAPPED_CHAINS && !delta)) break; prev_ix = (cur_ix - backward) & ring_buffer_mask; slot = banks[bank].slots[last].next; delta = banks[bank].slots[last].delta; if (cur_ix_masked + best_len > ring_buffer_mask || prev_ix + best_len > ring_buffer_mask || data[cur_ix_masked + best_len] != data[prev_ix + best_len]) { continue; } { const size_t len = FindMatchLengthWithLimit(&data[prev_ix], &data[cur_ix_masked], max_length); if (len >= 4) { /* Comparing for >= 3 does not change the semantics, but just saves for a few unnecessary binary logarithms in backward reference score, since we are not interested in such short matches. */ score_t score = BackwardReferenceScore(len, backward); if (best_score < score) { best_score = score; best_len = len; out->len = best_len; out->distance = backward; out->score = best_score; } } } } FN(Store)(self, data, ring_buffer_mask, cur_ix); } if (out->score == min_score) { SearchInStaticDictionary(dictionary, self->common, &data[cur_ix_masked], max_length, dictionary_distance, max_distance, out, BROTLI_FALSE); } } #undef BANK_SIZE #undef BUCKET_SIZE #undef CAPPED_CHAINS #undef HashForgetfulChain IO-Compress-Brotli-0.019/brotli/c/enc/hash_longest_match_quickly_inc.h0000644000175000017500000002217414606651213024111 0ustar timtim/* NOLINT(build/header_guard) */ /* Copyright 2010 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* template parameters: FN, BUCKET_BITS, BUCKET_SWEEP_BITS, HASH_LEN, USE_DICTIONARY */ #define HashLongestMatchQuickly HASHER() #define BUCKET_SIZE (1 << BUCKET_BITS) #define BUCKET_MASK (BUCKET_SIZE - 1) #define BUCKET_SWEEP (1 << BUCKET_SWEEP_BITS) #define BUCKET_SWEEP_MASK ((BUCKET_SWEEP - 1) << 3) static BROTLI_INLINE size_t FN(HashTypeLength)(void) { return 8; } static BROTLI_INLINE size_t FN(StoreLookahead)(void) { return 8; } /* HashBytes is the function that chooses the bucket to place the address in. The HashLongestMatch and HashLongestMatchQuickly classes have separate, different implementations of hashing. */ static uint32_t FN(HashBytes)(const uint8_t* data) { const uint64_t h = ((BROTLI_UNALIGNED_LOAD64LE(data) << (64 - 8 * HASH_LEN)) * kHashMul64); /* The higher bits contain more mixture from the multiplication, so we take our results from there. */ return (uint32_t)(h >> (64 - BUCKET_BITS)); } /* A (forgetful) hash table to the data seen by the compressor, to help create backward references to previous data. This is a hash map of fixed size (BUCKET_SIZE). */ typedef struct HashLongestMatchQuickly { /* Shortcuts. */ HasherCommon* common; /* --- Dynamic size members --- */ uint32_t* buckets_; /* uint32_t[BUCKET_SIZE]; */ } HashLongestMatchQuickly; static void FN(Initialize)( HasherCommon* common, HashLongestMatchQuickly* BROTLI_RESTRICT self, const BrotliEncoderParams* params) { self->common = common; BROTLI_UNUSED(params); self->buckets_ = (uint32_t*)common->extra[0]; } static void FN(Prepare)( HashLongestMatchQuickly* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, size_t input_size, const uint8_t* BROTLI_RESTRICT data) { uint32_t* BROTLI_RESTRICT buckets = self->buckets_; /* Partial preparation is 100 times slower (per socket). */ size_t partial_prepare_threshold = BUCKET_SIZE >> 5; if (one_shot && input_size <= partial_prepare_threshold) { size_t i; for (i = 0; i < input_size; ++i) { const uint32_t key = FN(HashBytes)(&data[i]); if (BUCKET_SWEEP == 1) { buckets[key] = 0; } else { uint32_t j; for (j = 0; j < BUCKET_SWEEP; ++j) { buckets[(key + (j << 3)) & BUCKET_MASK] = 0; } } } } else { /* It is not strictly necessary to fill this buffer here, but not filling will make the results of the compression stochastic (but correct). This is because random data would cause the system to find accidentally good backward references here and there. */ memset(buckets, 0, sizeof(uint32_t) * BUCKET_SIZE); } } static BROTLI_INLINE void FN(HashMemAllocInBytes)( const BrotliEncoderParams* params, BROTLI_BOOL one_shot, size_t input_size, size_t* alloc_size) { BROTLI_UNUSED(params); BROTLI_UNUSED(one_shot); BROTLI_UNUSED(input_size); alloc_size[0] = sizeof(uint32_t) * BUCKET_SIZE; } /* Look at 5 bytes at &data[ix & mask]. Compute a hash from these, and store the value somewhere within [ix .. ix+3]. */ static BROTLI_INLINE void FN(Store)( HashLongestMatchQuickly* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix) { const uint32_t key = FN(HashBytes)(&data[ix & mask]); if (BUCKET_SWEEP == 1) { self->buckets_[key] = (uint32_t)ix; } else { /* Wiggle the value with the bucket sweep range. */ const uint32_t off = ix & BUCKET_SWEEP_MASK; self->buckets_[(key + off) & BUCKET_MASK] = (uint32_t)ix; } } static BROTLI_INLINE void FN(StoreRange)( HashLongestMatchQuickly* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix_start, const size_t ix_end) { size_t i; for (i = ix_start; i < ix_end; ++i) { FN(Store)(self, data, mask, i); } } static BROTLI_INLINE void FN(StitchToPreviousBlock)( HashLongestMatchQuickly* BROTLI_RESTRICT self, size_t num_bytes, size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask) { if (num_bytes >= FN(HashTypeLength)() - 1 && position >= 3) { /* Prepare the hashes for three last bytes of the last write. These could not be calculated before, since they require knowledge of both the previous and the current block. */ FN(Store)(self, ringbuffer, ringbuffer_mask, position - 3); FN(Store)(self, ringbuffer, ringbuffer_mask, position - 2); FN(Store)(self, ringbuffer, ringbuffer_mask, position - 1); } } static BROTLI_INLINE void FN(PrepareDistanceCache)( HashLongestMatchQuickly* BROTLI_RESTRICT self, int* BROTLI_RESTRICT distance_cache) { BROTLI_UNUSED(self); BROTLI_UNUSED(distance_cache); } /* Find a longest backward match of &data[cur_ix & ring_buffer_mask] up to the length of max_length and stores the position cur_ix in the hash table. Does not look for matches longer than max_length. Does not look for matches further away than max_backward. Writes the best match into |out|. |out|->score is updated only if a better match is found. */ static BROTLI_INLINE void FN(FindLongestMatch)( HashLongestMatchQuickly* BROTLI_RESTRICT self, const BrotliEncoderDictionary* dictionary, const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, const int* BROTLI_RESTRICT distance_cache, const size_t cur_ix, const size_t max_length, const size_t max_backward, const size_t dictionary_distance, const size_t max_distance, HasherSearchResult* BROTLI_RESTRICT out) { uint32_t* BROTLI_RESTRICT buckets = self->buckets_; const size_t best_len_in = out->len; const size_t cur_ix_masked = cur_ix & ring_buffer_mask; int compare_char = data[cur_ix_masked + best_len_in]; size_t key = FN(HashBytes)(&data[cur_ix_masked]); size_t key_out; score_t min_score = out->score; score_t best_score = out->score; size_t best_len = best_len_in; size_t cached_backward = (size_t)distance_cache[0]; size_t prev_ix = cur_ix - cached_backward; out->len_code_delta = 0; if (prev_ix < cur_ix) { prev_ix &= (uint32_t)ring_buffer_mask; if (compare_char == data[prev_ix + best_len]) { const size_t len = FindMatchLengthWithLimit( &data[prev_ix], &data[cur_ix_masked], max_length); if (len >= 4) { const score_t score = BackwardReferenceScoreUsingLastDistance(len); if (best_score < score) { out->len = len; out->distance = cached_backward; out->score = score; if (BUCKET_SWEEP == 1) { buckets[key] = (uint32_t)cur_ix; return; } else { best_len = len; best_score = score; compare_char = data[cur_ix_masked + len]; } } } } } if (BUCKET_SWEEP == 1) { size_t backward; size_t len; /* Only one to look for, don't bother to prepare for a loop. */ prev_ix = buckets[key]; buckets[key] = (uint32_t)cur_ix; backward = cur_ix - prev_ix; prev_ix &= (uint32_t)ring_buffer_mask; if (compare_char != data[prev_ix + best_len_in]) { return; } if (BROTLI_PREDICT_FALSE(backward == 0 || backward > max_backward)) { return; } len = FindMatchLengthWithLimit(&data[prev_ix], &data[cur_ix_masked], max_length); if (len >= 4) { const score_t score = BackwardReferenceScore(len, backward); if (best_score < score) { out->len = len; out->distance = backward; out->score = score; return; } } } else { size_t keys[BUCKET_SWEEP]; size_t i; for (i = 0; i < BUCKET_SWEEP; ++i) { keys[i] = (key + (i << 3)) & BUCKET_MASK; } key_out = keys[(cur_ix & BUCKET_SWEEP_MASK) >> 3]; for (i = 0; i < BUCKET_SWEEP; ++i) { size_t len; size_t backward; prev_ix = buckets[keys[i]]; backward = cur_ix - prev_ix; prev_ix &= (uint32_t)ring_buffer_mask; if (compare_char != data[prev_ix + best_len]) { continue; } if (BROTLI_PREDICT_FALSE(backward == 0 || backward > max_backward)) { continue; } len = FindMatchLengthWithLimit(&data[prev_ix], &data[cur_ix_masked], max_length); if (len >= 4) { const score_t score = BackwardReferenceScore(len, backward); if (best_score < score) { best_len = len; out->len = len; compare_char = data[cur_ix_masked + len]; best_score = score; out->score = score; out->distance = backward; } } } } if (USE_DICTIONARY && min_score == out->score) { SearchInStaticDictionary(dictionary, self->common, &data[cur_ix_masked], max_length, dictionary_distance, max_distance, out, BROTLI_TRUE); } if (BUCKET_SWEEP != 1) { buckets[key_out] = (uint32_t)cur_ix; } } #undef BUCKET_SWEEP_MASK #undef BUCKET_SWEEP #undef BUCKET_MASK #undef BUCKET_SIZE #undef HashLongestMatchQuickly IO-Compress-Brotli-0.019/brotli/c/enc/static_dict_lut.h0000644000175000017500000162531614606651213021053 0ustar timtim/* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Lookup table for static dictionary and transforms. */ #ifndef BROTLI_ENC_STATIC_DICT_LUT_H_ #define BROTLI_ENC_STATIC_DICT_LUT_H_ #include #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif typedef struct DictWord { /* Highest bit is used to indicate end of bucket. */ uint8_t len; uint8_t transform; uint16_t idx; } DictWord; /* GENERATED CODE START */ static const int kDictNumBits = 15; static const uint32_t kDictHashMul32 = 0x1E35A7BD; static const uint16_t kStaticDictionaryBuckets[32768] = { 1,0,0,0,0,0,0,0,0,3,6,0,0,0,0,0,20,0,0,0,21,0,22,0,0,0,0,0,0,0,0,23,0,0,25,0,29, 0,53,0,0,0,0,0,0,55,0,0,0,0,0,0,61,76,0,0,0,94,0,0,0,0,0,0,96,0,97,0,98,0,0,0,0, 0,0,0,99,101,106,108,0,0,0,0,0,110,0,111,112,0,113,118,124,0,0,0,0,0,125,128,0,0 ,0,0,129,0,0,131,0,0,0,0,0,0,132,0,0,135,0,0,0,137,0,0,0,0,0,138,139,0,0,0,0,0,0 ,0,142,143,144,0,0,0,0,0,145,0,0,0,146,149,151,152,0,0,153,0,0,0,0,0,0,0,0,0,0,0 ,0,0,0,0,154,0,0,0,0,0,0,155,0,0,0,0,160,182,0,0,0,0,0,0,183,0,0,0,188,189,0,0, 192,0,0,0,0,0,0,194,0,0,0,0,0,0,0,0,197,202,209,0,0,210,0,224,0,0,0,225,0,0,0,0, 0,0,0,0,0,0,231,0,0,0,232,0,240,0,0,242,0,0,0,0,0,0,0,0,0,0,0,244,0,0,0,246,0,0, 249,251,253,0,0,0,0,0,258,0,0,261,263,0,0,0,267,0,0,268,0,269,0,0,0,0,0,0,0,0,0, 271,0,0,0,0,0,0,272,0,273,0,277,0,278,286,0,0,0,0,287,0,289,290,291,0,0,0,295,0, 0,296,297,0,0,0,0,0,0,0,0,0,0,298,0,0,0,299,0,0,305,0,324,0,0,0,0,0,327,0,328, 329,0,0,0,0,336,0,0,340,0,341,342,343,0,0,346,0,348,0,0,0,0,0,0,349,351,0,0,355, 0,363,0,364,0,368,369,0,370,0,0,0,0,0,0,0,372,0,0,0,0,0,0,0,0,0,0,0,373,0,375,0, 0,0,0,376,377,0,0,394,395,396,0,0,398,0,0,0,0,400,0,0,408,0,0,0,0,420,0,0,0,0,0, 0,421,0,0,422,423,0,0,429,435,436,442,0,0,443,0,444,445,453,456,0,457,0,0,0,0,0, 458,0,0,0,459,0,0,0,460,0,462,463,465,0,0,0,0,0,0,466,469,0,0,0,0,0,0,470,0,0,0, 474,0,476,0,0,0,0,483,0,485,0,0,0,486,0,0,488,491,492,0,0,497,499,500,0,501,0,0, 0,505,0,0,506,0,0,0,507,0,0,0,509,0,0,0,0,511,512,519,0,0,0,0,0,0,529,530,0,0,0, 534,0,0,0,0,543,0,0,0,0,0,0,0,0,0,553,0,0,0,0,557,560,0,0,0,0,0,0,561,0,564,0,0, 0,0,0,0,565,566,0,575,0,619,0,620,0,0,623,624,0,0,0,625,0,0,626,627,0,0,628,0,0, 0,0,630,0,631,0,0,0,0,0,0,0,0,0,641,0,0,0,0,643,656,668,0,0,0,673,0,0,0,674,0,0, 0,0,0,0,0,0,682,0,687,0,690,0,693,699,700,0,0,0,0,0,0,704,705,0,0,0,0,707,710,0, 711,0,0,0,0,726,0,0,729,0,0,0,730,731,0,0,0,0,0,752,0,0,0,762,0,763,0,0,767,0,0, 0,770,774,0,0,775,0,0,0,0,0,0,0,0,0,0,776,0,0,0,777,783,0,0,0,785,788,0,0,0,0, 790,0,0,0,793,0,0,0,0,794,0,0,804,819,821,0,827,0,0,0,834,0,0,835,0,0,0,841,0, 844,0,850,851,859,0,860,0,0,0,0,0,0,0,874,0,876,0,877,890,0,0,0,0,0,0,0,0,893, 894,898,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,899,0,0,0,900,904,906,0,0,0,907,0,908,909, 0,910,0,0,0,0,911,0,0,0,0,0,916,0,0,0,922,925,0,930,0,934,0,0,0,0,0,943,0,0,944, 0,953,954,0,0,0,0,0,0,955,0,962,963,0,0,976,0,0,977,978,979,980,0,981,0,0,0,0, 984,0,0,985,0,0,987,989,991,0,0,0,0,0,0,0,0,0,992,0,0,0,993,0,0,0,0,0,0,996,0,0, 0,1000,0,0,0,0,0,1002,0,0,0,0,1005,1007,0,0,0,1009,0,0,0,1010,0,0,0,0,0,0,1011,0 ,1012,0,0,0,0,1014,1016,0,0,0,1020,0,1021,0,0,0,0,1022,0,0,0,1024,0,0,0,0,0,0, 1025,0,0,1026,1027,0,0,0,0,0,1031,0,1033,0,0,0,0,1034,0,0,0,1037,1040,0,0,0,1042 ,1043,0,0,1053,0,1054,0,0,1057,0,0,0,1058,0,0,1060,0,0,0,0,0,0,0,1061,0,0,1062,0 ,0,0,0,1063,0,0,0,0,1064,0,0,0,0,0,1065,0,0,0,0,1066,1067,0,0,0,1069,1070,1072,0 ,0,0,0,0,0,1073,0,1075,0,0,0,0,0,0,1080,1084,0,0,0,0,1088,0,0,0,0,0,0,1094,0, 1095,0,1107,0,0,0,1112,1114,0,1119,0,1122,0,0,1126,0,1129,0,1130,0,0,0,0,0,1132, 0,0,0,0,0,0,1144,0,0,1145,1146,0,1148,1149,0,0,1150,1151,0,0,0,0,1152,0,1153,0,0 ,0,0,0,1154,0,1163,0,0,0,1164,0,0,0,0,0,1165,0,1167,0,1170,0,0,0,0,0,1171,1172,0 ,0,0,0,0,0,0,0,1173,1175,1177,0,1186,0,0,0,0,0,0,0,0,0,0,1195,0,0,1221,0,0,1224, 0,0,1227,0,0,0,0,0,1228,1229,0,0,1230,0,0,0,0,0,0,0,0,0,1231,0,0,0,1233,0,0,1243 ,1244,1246,1248,0,0,0,0,1254,1255,1258,1259,0,0,0,1260,0,0,1261,0,0,0,1262,1264, 0,0,1265,0,0,0,0,0,0,0,0,0,0,0,0,1266,0,1267,0,0,0,0,1273,1274,1276,1289,0,0, 1291,1292,1293,0,0,1294,1295,1296,0,0,0,0,1302,0,1304,0,0,0,0,0,0,0,0,0,1311, 1312,0,1314,0,1316,1320,1321,0,0,0,0,0,0,0,1322,1323,1324,0,1335,0,1336,0,0,0,0, 1341,1342,0,1346,0,1357,0,0,0,1358,1360,0,0,0,0,0,0,1361,0,0,0,1362,1365,0,1366, 0,0,0,0,0,0,0,1379,0,0,0,0,0,0,0,0,0,0,0,0,1386,0,1388,0,0,0,0,0,0,0,0,0,0,0,0,0 ,0,1395,0,0,0,0,1403,0,1405,0,0,1407,0,0,0,0,0,1408,1409,0,1410,0,0,0,1412,1413, 1416,0,0,1429,1451,0,0,1454,0,0,0,0,0,0,0,1455,0,0,0,0,0,0,0,1456,0,0,0,0,1459, 1460,1461,1475,0,0,0,0,0,0,1477,0,1480,0,1481,0,0,1486,0,0,1495,0,0,0,1496,0,0, 1498,1499,1501,1520,1521,0,0,0,1526,0,0,0,0,1528,1529,0,1533,1536,0,0,0,1537, 1538,1549,0,1550,1558,1559,1572,0,1573,0,0,0,0,0,0,0,0,0,1575,0,0,0,0,0,1579,0, 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4571,0,0,0,4574,0,0,0,4575,0,4576,0,4577,0,0,0,4581,0,0,0,0,0,4582,0,0,4586,0,0, 0,4588,0,0,4597,0,4598,0,0,0,0,4616,4617,0,4618,0,0,0,0,4619,0,4620,0,0,4621,0, 4624,0,0,0,0,0,4625,0,0,0,0,4657,0,4659,0,4667,0,0,0,4668,4670,0,4672,0,0,0,0,0, 4673,4676,0,0,0,0,4687,0,0,0,0,4697,0,0,0,0,4699,0,4701,0,0,0,0,4702,0,0,4706,0, 0,4713,0,0,0,4714,4715,4716,0,0,0,0,0,0,0,0,0,0,0,0,4717,0,0,4720,0,4721,4729, 4735,0,0,0,4737,0,0,0,4739,0,0,0,4740,0,0,0,4741,0,0,0,0,0,4742,0,4745,4746,4747 ,0,0,0,0,0,0,0,0,4748,0,0,0,4749,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4751, 4786,0,4787,0,4788,4796,0,0,4797,4798,0,4799,4806,4807,0,0,0,0,4809,4810,0,0,0,0 ,0,0,4811,0,0,0,0,0,4812,0,4813,0,0,4815,0,4821,4822,0,0,0,0,4823,0,0,0,0,0,0,0, 0,0,0,4824,0,0,0,0,4826,0,0,0,4828,0,4829,0,0,0,4843,0,0,4847,0,4853,4855,4858,0 ,0,0,0,0,4859,0,4864,0,0,4879,0,0,0,0,4880,0,0,0,0,4881,0,4882,0,0,0,0,0,0,0,0,0 ,4883,0,0,0,0,4884,0,0,0,0,0,4886,4887,4888,4894,4896,0,4902,0,0,4905,0,0,4915,0 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0,5231,0,0,5244,5249,0,5254,0,5255,0,0,5257,0,0,0,0,0,5258,0,5260,5270,0,5277,0, 0,0,0,0,0,5280,5281,5282,5283,0,0,0,0,0,5284,0,5285,0,0,0,0,0,5287,5288,0,0,0,0, 0,0,0,0,0,0,5289,5291,0,0,5294,0,0,5295,0,0,0,0,0,0,0,5304,0,0,5306,5307,5308,0, 5309,0,0,5310,0,0,0,0,5311,5312,0,5313,0,0,0,0,0,5316,0,0,0,5317,0,0,0,0,0,0,0,0 ,0,5325,0,0,0,0,0,0,5326,0,5327,5329,0,5332,0,0,0,0,5338,0,0,0,0,0,0,0,0,5340,0, 0,5341,0,0,0,5342,0,5343,5344,0,0,5345,0,0,0,0,0,0,5347,5348,0,0,0,0,0,0,0,0,0, 5349,0,5350,0,5354,0,0,0,0,5358,0,0,5359,0,0,5361,0,0,5365,0,5367,0,5373,0,0,0, 5379,0,0,0,5380,0,0,0,5382,0,5384,0,0,0,0,0,0,5385,0,0,0,0,5387,0,0,0,0,0,0,5388 ,5390,5393,0,0,0,0,0,0,0,0,0,0,0,5396,0,0,0,0,5397,5402,0,0,0,0,0,5403,0,0,0, 5404,5405,0,0,0,0,0,0,0,0,0,0,0,0,5406,0,0,0,0,5410,0,0,5411,0,5415,0,0,0,0,5416 ,5434,0,0,0,0,0,0,0,0,0,0,0,5438,0,5440,0,0,0,0,0,0,5441,5442,0,0,0,5443,5444, 5447,0,0,5448,5449,5451,0,0,0,5456,5457,0,0,0,5459,0,0,0,5461,0,0,0,0,0,0,0,0,0, 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0,0,29364,0,29365,0,0,0,0,0,0,0,29366,0,0,29368,0,0,0,0,0,0,0,0,29378,0,29381,0, 0,0,0,0,0,0,0,29386,0,0,0,0,0,0,29389,0,0,0,29390,0,0,29391,29397,0,29398,29412, 29414,29418,29419,0,0,0,0,0,0,0,29420,0,0,0,0,0,0,0,29423,0,0,0,29435,0,0,0, 29437,0,0,29439,0,29441,0,0,0,0,29443,0,29446,29450,29452,0,0,0,0,0,29456,0,0,0, 0,0,29461,0,0,0,29464,0,0,0,0,0,0,0,0,29468,0,29473,0,0,0,29486,0,0,0,29490,0,0, 0,29491,29492,0,0,29497,0,0,0,29498,0,29499,0,29502,29505,0,29509,0,0,0,29510,0, 0,0,29512,0,0,0,29516,0,0,0,0,0,0,0,0,29518,0,29519,0,0,0,0,0,29520,29521,29529, 0,0,0,0,0,0,0,0,29530,0,0,29531,29538,0,29540,0,0,0,29542,0,29543,29544,29547,0, 0,29548,0,0,0,29549,0,0,0,29550,0,0,29552,0,0,0,0,29558,29561,0,29562,29564,0,0, 29565,0,0,29566,0,0,0,0,0,0,0,0,0,0,29578,29584,29586,29591,0,0,0,0,29593,29594, 0,0,29597,0,0,29613,0,29614,0,29615,0,0,0,0,29616,29617,0,0,29625,0,0,0,29632,0, 0,0,0,0,0,0,29633,0,0,0,0,0,29634,29635,29637,0,29638,0,29641,29643,0,0,0,0,0,0, 29644,0,29645,0,29649,0,0,0,29650,0,29653,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29656, 29659,0,0,29660,0,0,0,29661,0,0,0,0,0,29664,0,0,0,29671,29673,0,0,0,0,0,0,0, 29675,0,29677,29679,0,0,29684,0,0,0,0,0,29685,0,0,0,29687,0,0,0,29688,0,29689, 29690,29700,0,29701,0,0,0,29702,0,29706,0,0,0,0,0,0,0,29720,0,29721,0,29727,0, 29733,29734,0,29750,29761,0,29763,0,0,0,0,0,29764,0,0,29765,0,0,0,29771,0,0,0,0, 0,0,0,0,0,0,0,0,29772,0,0,0,29773,29774,29775,0,0,0,0,0,0,0,0,0,0,0,29822,0,0,0, 29824,0,29825,0,0,0,0,0,29827,0,0,0,0,0,0,0,0,29829,0,29832,29834,0,0,29835,0,0, 29837,29838,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29843,0,0,0,0,29844,29845,0,0,0, 0,0,0,0,0,0,29849,0,0,29869,29872,29890,29905,0,0,0,0,0,29907,29921,0,29922,0,0, 29923,29926,29944,29946,0,0,0,0,0,0,0,29947,29948,0,0,0,29951,0,0,0,0,0,29953,0, 0,29956,0,29957,0,0,29962,0,0,0,0,29971,0,0,0,29972,0,0,0,0,0,29978,0,29979, 29992,30007,30008,30010,0,0,0,30013,0,0,0,0,30014,30016,0,0,0,0,0,0,0,0,0,0,0, 30017,0,0,0,0,0,30023,30031,0,0,30033,0,0,0,0,0,0,0,0,0,0,30034,0,30038,0,30039, 0,30040,0,0,0,0,0,0,30067,30068,0,0,0,30069,0,30072,0,0,0,30073,0,0,0,0,30075,0, 0,0,0,0,0,30079,0,0,30080,0,0,0,0,0,30082,0,0,0,0,0,0,0,0,0,0,0,30084,30090,0,0, 30091,0,0,0,0,30098,30118,0,30119,0,30121,30130,0,0,0,0,0,0,0,0,0,0,0,0,0,30131, 30132,30133,0,0,0,0,0,0,30135,0,0,0,0,0,0,0,0,0,0,0,30136,0,0,30137,30138,0,0,0, 30139,30146,0,0,0,0,0,30147,0,0,30148,30151,0,0,0,30168,0,30172,30173,0,0,0,0,0, 0,0,0,30180,30181,0,30192,0,0,0,0,0,0,0,30194,30196,0,0,30199,0,0,30202,0,0,0,0, 30203,0,0,0,0,0,0,0,0,0,0,30213,0,0,0,30216,0,0,30217,0,0,0,30218,0,0,0,0,30219, 0,30220,0,30222,30227,0,0,0,0,0,30231,0,0,30233,30235,0,0,0,0,30238,0,30240, 30243,30245,0,30250,30252,0,0,0,30269,0,0,30271,30272,0,0,0,30278,30280,0,0, 30282,0,30284,0,30294,0,0,0,0,30295,30296,0,0,0,0,0,30298,30299,30302,30304, 30306,0,0,0,0,0,0,30316,30317,0,0,0,30318,0,0,0,30319,0,30320,30322,30326,0,0,0, 0,0,30327,0,30332,30348,30349,0,0,30356,0,0,0,0,0,0,0,0,30357,0,30358,0,30359, 30360,0,0,30365,30366,30378,0,0,0,0,30379,0,0,30381,0,30385,0,30388,30397,0,0,0, 30401,0,0,0,0,30403,0,0,0,0,0,30404,0,0,30405,0,30406,30408,0,30409,0,30410,0,0, 0,30417,0,0,30418,30419,0,30420,0,30424,0,0,0,30427,30430,30432,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,30433,0,0,0,0,0,0,0,30436,0,30437,30438,0,30441,30442,0,0, 0,30445,0,0,0,0,30452,30456,30457,0,0,0,30458,0,30464,0,0,0,0,0,0,30467,0,30469, 0,0,0,0,0,30477,0,0,30484,0,0,0,0,0,30485,0,0,0,0,0,30486,30487,30497,30498,0,0, 0,0,0,0,0,0,0,0,30505,0,30508,0,0,0,30509,30510,0,30514,30516,0,0,0,0,0,0,0,0,0, 0,0,30523,0,30524,0,30525,0,0,0,0,30537,0,0,30538,0,0,0,0,0,30553,0,0,30555, 30556,30558,30559,30560,0,0,30561,0,30562,0,0,0,0,0,0,0,0,30563,30570,30571,0, 30586,30587,0,0,30590,0,0,30594,0,0,0,0,30611,30612,30623,30634,0,0,30636,30640, 30655,30656,0,30657,0,0,30658,30669,0,30670,0,30676,30678,0,0,0,0,0,0,0,30679,0, 0,0,0,0,0,0,0,0,0,0,30695,0,0,30698,0,0,0,0,30700,0,0,0,0,30701,0,30702,30703,0, 0,0,0,30707,0,0,0,30709,0,0,30710,30719,30729,0,0,0,0,0,0,0,0,0,30731,0,0,30733, 0,0,0,30734,0,0,0,0,0,30736,30737,0,0,0,30740,0,0,0,30743,0,30746,0,30747,30748, 0,0,30751,30752,30753,0,0,0,30754,0,0,30760,0,0,0,0,0,0,0,30763,0,30764,0,0, 30766,0,30769,30770,30771,30774,30777,0,0,30779,30780,30781,0,0,0,0,30790,0,0,0, 30792,0,0,0,0,30810,0,0,0,0,0,0,0,30812,30819,0,0,30823,30824,0,30825,0,30827,0, 0,0,0,0,0,30828,0,0,30830,0,0,0,30834,0,30835,0,30837,30838,0,30845,0,0,0,0,0, 30846,30847,0,0,30849,0,30851,0,0,0,0,0,30852,30858,0,0,30859,0,30865,0,0,30866, 0,0,30868,0,0,30869,0,0,0,30881,30883,0,0,0,0,0,30889,0,30891,0,0,0,0,30894,0, 30895,0,30897,0,30898,0,0,0,30904,30906,0,30909,0,0,0,0,0,0,30910,0,0,0,30915, 30933,30942,0,0,0,0,30943,0,0,30945,0,0,0,0,0,0,30946,0,0,30947,0,0,30955,30956, 0,0,30960,0,0,30961,30962,30966,0,0,30969,30974,0,0,0,30976,0,0,30977,0,30978, 30982,0,0,0,0,0,0,0,30994,30995,30998,0,31000,0,0,31001,0,0,31003,31005,0,0, 31006,31011,0,0,31014,0,31016,0,0,0,0,31018,0,0,31020,31023,31024,31025,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,31027,31028,31029,0,0,0,0,0,0,31032,0,0,0,0,0,0,0,0,0,0,0, 31036,31037,31038,0,0,0,31041,31043,31045,0,31047,0,0,0,31048,0,31049,0,0,0, 31053,31054,31055,0,0,31063,0,0,0,0,0,31066,0,31068,31071,0,0,0,31072,31073,0,0, 0,0,31075,0,0,31076,0,0,0,31077,31079,0,31080,0,0,0,0,0,0,0,0,0,0,31087,0,31142, 0,31144,0,0,31145,31146,31147,0,0,0,0,0,0,0,0,0,0,0,0,0,0,31149,0,31151,31152,0, 0,0,0,0,0,0,31162,31171,31174,31175,0,0,0,31176,0,0,0,0,0,0,0,31179,0,0,0,31186, 0,0,0,31192,31195,0,0,31196,0,0,0,0,0,0,0,0,31198,0,0,0,0,0,31199,0,0,0,31205,0, 0,0,0,31211,31215,0,0,0,0,31231,0,31232,0,0,0,0,0,0,0,0,0,0,31233,31236,31253,0, 31254,0,0,0,0,0,0,31255,0,0,31257,0,0,0,0,0,0,0,0,0,31258,31259,0,0,31260,0, 31261,0,0,0,0,0,31262,31263,0,0,31264,0,31266,0,31267,0,0,0,0,0,31281,0,31282,0, 31284,0,0,31285,31287,31288,0,0,31290,0,0,0,31292,31295,0,31299,0,31300,0,0,0,0, 0,31302,0,0,0,0,31303,0,0,0,0,0,0,31304,0,0,0,0,0,31305,31308,31309,31315,0, 31317,0,0,0,0,0,31323,0,31324,0,0,0,0,0,31325,31327,0,0,31331,0,0,0,0,0,31333,0, 0,0,0,0,31336,0,0,31337,0,0,0,0,0,0,31338,0,0,0,0,0,0,0,0,0,0,0,0,31339,0,0,0,0, 0,0,0,31342,0,0,0,0,31345,0,0,0,0,0,0,0,0,31347,0,0,0,0,0,0,31348,0,0,31350, 31351,0,31352,0,0,31354,0,0,0,0,31355,0,0,31356,0,0,0,0,0,0,0,0,0,0,31363,0, 31372,0,0,31373,0,0,0,0,0,0,0,0,0,31376,0,31388,0,31389,0,31392,0,31401,0,31405, 31407,31408,0,31409,0,0,0,0,0,0,31413,31415,0,0,0,31416,31418,0,0,0,0,0,0,31422, 31423,0,0,31424,0,31425,31432,0,0,0,0,0,0,0,0,0,31433,0,0,0,0,0,0,0,0,31434,0,0, 0,0,0,0,31435,0,0,0,0,31438,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,31442,0,31444,0, 31448,0,0,31451,0,0,0,0,31452,0,31461,31465,0,0,31466,0,0,31467,0,0,31468,0,0,0, 31469,31473,0,31476,0,0,0,0,31489,31490,0,0,0,0,0,0,0,31492,31493,31494,0,0,0,0, 31501,31504,31505,0,0,0,0,0,0,0,0,0,31509,0,0,0,0,31510,0,0,31511,0,0,31513,0,0, 0,0,0,0,0,0,0,31514,0,31522,31536,31539,31540,0,31541,0,0,0,0,0,0,31546,31553, 31559,0,0,0,31560,31561,31562,0,0,31564,31567,0,31569,0,0,0,31570,0,0,0,0,31571, 0,0,0,0,0,0,31572,31574,31580,31581,0,0,31582,31584,31585,31586,31595,0,31596,0, 0,0,0,31597,0,31599,0,31600,31601,0,0,31603,31604,0,0,31608,31610,0,0,0,31611,0, 31615,0,0,0,0,31616,0,0,0,0,0,0,31617,0,0,0,0,0,31618,0,0,0,0,0,0,31621,0,0,0,0, 0,0,0,0,0,31622,31625,0,0,0,0,31627,0,31641,0,0,31642,0,0,31643,0,0,0,0,0,0,0,0, 0,31644,0,31646,0,0,0,0,31648,0,0,0,31652,0,0,0,31657,0,0,31676,0,0,0,0,0,0,0, 31689,31691,31692,0,31694,0,0,0,31696,0,31702,0,31703,0}; static const DictWord kStaticDictionaryWords[31705] = { {0,0,0},{8,0,1002},{136,0,1015},{4,0,683},{4,10,325},{138,10,125},{7,11,572},{9, 11,592},{11,11,680},{11,11,842},{11,11,924},{12,11,356},{12,11,550},{13,11,317}, {13,11,370},{13,11,469},{13,11,471},{14,11,397},{18,11,69},{146,11,145},{134,0, 1265},{136,11,534},{134,0,1431},{11,0,138},{140,0,40},{4,0,155},{7,0,1689},{4,10 ,718},{135,10,1216},{4,0,245},{5,0,151},{5,0,741},{6,0,1147},{7,0,498},{7,0,870} ,{7,0,1542},{12,0,213},{14,0,36},{14,0,391},{17,0,111},{18,0,6},{18,0,46},{18,0, 151},{19,0,36},{20,0,32},{20,0,56},{20,0,69},{20,0,102},{21,0,4},{22,0,8},{22,0, 10},{22,0,14},{150,0,31},{4,0,624},{135,0,1752},{5,10,124},{5,10,144},{6,10,548} ,{7,10,15},{7,10,153},{137,10,629},{6,0,503},{9,0,586},{13,0,468},{14,0,66},{16, 0,58},{7,10,1531},{8,10,416},{9,10,275},{10,10,100},{11,10,658},{11,10,979},{12, 10,86},{14,10,207},{15,10,20},{143,10,25},{5,0,603},{7,0,1212},{9,0,565},{14,0, 301},{5,10,915},{6,10,1783},{7,10,211},{7,10,1353},{9,10,83},{10,10,376},{10,10, 431},{11,10,543},{12,10,664},{13,10,280},{13,10,428},{14,10,128},{17,10,52},{145 ,10,81},{4,0,492},{133,0,451},{135,0,835},{141,0,70},{132,0,539},{7,11,748},{139 ,11,700},{7,11,1517},{11,11,597},{14,11,76},{14,11,335},{148,11,33},{6,0,113},{ 135,0,436},{4,10,338},{133,10,400},{136,0,718},{133,11,127},{133,11,418},{6,0, 1505},{7,0,520},{6,11,198},{11,10,892},{140,11,83},{4,10,221},{5,10,659},{5,10, 989},{7,10,697},{7,10,1211},{138,10,284},{135,0,1070},{5,11,276},{6,11,55},{135, 11,1369},{134,0,1515},{6,11,1752},{136,11,726},{138,10,507},{15,0,78},{4,10,188} ,{135,10,805},{5,10,884},{139,10,991},{133,11,764},{134,10,1653},{6,11,309},{7, 11,331},{138,11,550},{135,11,1861},{132,11,348},{135,11,986},{135,11,1573},{12,0 ,610},{13,0,431},{144,0,59},{9,11,799},{140,10,166},{134,0,1530},{132,0,750},{ 132,0,307},{133,0,964},{6,11,194},{7,11,133},{10,11,493},{10,11,570},{139,11,664 },{5,11,24},{5,11,569},{6,11,3},{6,11,119},{6,11,143},{6,11,440},{7,11,295},{7, 11,599},{7,11,1686},{7,11,1854},{8,11,424},{9,11,43},{9,11,584},{9,11,760},{10, 11,148},{10,11,328},{11,11,159},{11,11,253},{11,11,506},{12,11,487},{12,11,531}, {144,11,33},{136,10,760},{5,11,14},{5,11,892},{6,11,283},{7,11,234},{136,11,537} ,{135,11,1251},{4,11,126},{8,11,635},{147,11,34},{4,11,316},{135,11,1561},{6,0, 999},{6,0,1310},{137,11,861},{4,11,64},{5,11,352},{5,11,720},{6,11,368},{139,11, 359},{4,0,75},{5,0,180},{6,0,500},{7,0,58},{7,0,710},{10,0,645},{136,10,770},{ 133,0,649},{6,0,276},{7,0,282},{7,0,879},{7,0,924},{8,0,459},{9,0,599},{9,0,754} ,{11,0,574},{12,0,128},{12,0,494},{13,0,52},{13,0,301},{15,0,30},{143,0,132},{ 132,0,200},{4,10,89},{5,10,489},{6,10,315},{7,10,553},{7,10,1745},{138,10,243},{ 135,11,1050},{7,0,1621},{6,10,1658},{9,10,3},{10,10,154},{11,10,641},{13,10,85}, {13,10,201},{141,10,346},{6,11,175},{137,11,289},{5,11,432},{133,11,913},{6,0, 225},{137,0,211},{7,0,718},{8,0,687},{139,0,374},{4,10,166},{133,10,505},{9,0, 110},{134,10,1670},{8,0,58},{9,0,724},{11,0,809},{13,0,113},{145,0,72},{6,0,345} ,{7,0,1247},{144,11,82},{5,11,931},{134,11,1698},{8,0,767},{8,0,803},{9,0,301},{ 137,0,903},{139,0,203},{134,0,1154},{7,0,1949},{136,0,674},{134,0,259},{135,0, 1275},{5,11,774},{6,11,1637},{6,11,1686},{134,11,1751},{134,0,1231},{7,10,445},{ 8,10,307},{8,10,704},{10,10,41},{10,10,439},{11,10,237},{11,10,622},{140,10,201} ,{136,0,254},{6,11,260},{135,11,1484},{139,0,277},{135,10,1977},{4,10,189},{5,10 ,713},{6,11,573},{136,10,57},{138,10,371},{132,10,552},{134,11,344},{133,0,248}, {9,0,800},{10,0,693},{11,0,482},{11,0,734},{11,0,789},{134,11,240},{4,0,116},{5, 0,95},{5,0,445},{7,0,1688},{8,0,29},{9,0,272},{11,0,509},{11,0,915},{4,11,292},{ 4,11,736},{5,11,871},{6,11,171},{6,11,1689},{7,11,1324},{7,11,1944},{9,11,415},{ 9,11,580},{14,11,230},{146,11,68},{7,0,490},{13,0,100},{143,0,75},{135,0,1641},{ 133,0,543},{7,11,209},{8,11,661},{10,11,42},{11,11,58},{12,11,58},{12,11,118},{ 141,11,32},{5,0,181},{8,0,41},{6,11,63},{135,11,920},{133,0,657},{133,11,793},{ 138,0,709},{7,0,25},{8,0,202},{138,0,536},{5,11,665},{135,10,1788},{145,10,49},{ 9,0,423},{140,0,89},{5,11,67},{6,11,62},{6,11,374},{135,11,1391},{8,0,113},{9,0, 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},{132,10,97},{5,10,147},{6,10,286},{7,10,1362},{141,10,176},{6,0,756},{134,0, 1149},{133,11,896},{6,10,375},{7,10,169},{7,10,254},{136,10,780},{134,0,1583},{ 135,10,1447},{139,0,285},{7,11,1117},{8,11,393},{136,11,539},{135,0,344},{6,0, 469},{7,0,1709},{138,0,515},{5,10,629},{135,10,1549},{5,11,4},{5,11,810},{6,11, 13},{6,11,538},{6,11,1690},{6,11,1726},{7,11,499},{7,11,1819},{8,11,148},{8,11, 696},{8,11,791},{12,11,125},{13,11,54},{143,11,9},{135,11,1268},{137,0,404},{132 ,0,500},{5,0,68},{134,0,383},{11,0,216},{139,0,340},{4,11,925},{5,11,803},{8,11, 698},{138,11,828},{4,0,337},{6,0,353},{7,0,1934},{8,0,488},{137,0,429},{7,0,236} ,{7,0,1795},{8,0,259},{9,0,135},{9,0,177},{9,0,860},{10,0,825},{11,0,115},{11,0, 370},{11,0,405},{11,0,604},{12,0,10},{12,0,667},{12,0,669},{13,0,76},{14,0,310}, {15,0,76},{15,0,147},{148,0,23},{4,0,15},{4,0,490},{5,0,22},{6,0,244},{7,0,40},{ 7,0,200},{7,0,906},{7,0,1199},{9,0,616},{10,0,716},{11,0,635},{11,0,801},{140,0, 458},{12,0,756},{132,10,420},{134,0,1504},{6,0,757},{133,11,383},{6,0,1266},{135 ,0,1735},{5,0,598},{7,0,791},{8,0,108},{9,0,123},{7,10,1570},{140,10,542},{142, 11,410},{9,11,660},{138,11,347} }; /* GENERATED CODE END */ #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_ENC_STATIC_DICT_LUT_H_ */ IO-Compress-Brotli-0.019/brotli/c/enc/compress_fragment_two_pass.c0000644000175000017500000006505614606651213023323 0ustar timtim/* Copyright 2015 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Function for fast encoding of an input fragment, independently from the input history. This function uses two-pass processing: in the first pass we save the found backward matches and literal bytes into a buffer, and in the second pass we emit them into the bit stream using prefix codes built based on the actual command and literal byte histograms. */ #include "compress_fragment_two_pass.h" #include /* memcmp, memcpy, memset */ #include #include "../common/constants.h" #include "../common/platform.h" #include "bit_cost.h" #include "brotli_bit_stream.h" #include "entropy_encode.h" #include "fast_log.h" #include "find_match_length.h" #include "write_bits.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #define MAX_DISTANCE (long)BROTLI_MAX_BACKWARD_LIMIT(18) /* kHashMul32 multiplier has these properties: * The multiplier must be odd. Otherwise we may lose the highest bit. * No long streaks of ones or zeros. * There is no effort to ensure that it is a prime, the oddity is enough for this use. * The number has been tuned heuristically against compression benchmarks. */ static const uint32_t kHashMul32 = 0x1E35A7BD; static BROTLI_INLINE uint32_t Hash(const uint8_t* p, size_t shift, size_t length) { const uint64_t h = (BROTLI_UNALIGNED_LOAD64LE(p) << ((8 - length) * 8)) * kHashMul32; return (uint32_t)(h >> shift); } static BROTLI_INLINE uint32_t HashBytesAtOffset(uint64_t v, size_t offset, size_t shift, size_t length) { BROTLI_DCHECK(offset <= 8 - length); { const uint64_t h = ((v >> (8 * offset)) << ((8 - length) * 8)) * kHashMul32; return (uint32_t)(h >> shift); } } static BROTLI_INLINE BROTLI_BOOL IsMatch(const uint8_t* p1, const uint8_t* p2, size_t length) { if (BrotliUnalignedRead32(p1) == BrotliUnalignedRead32(p2)) { if (length == 4) return BROTLI_TRUE; return TO_BROTLI_BOOL(p1[4] == p2[4] && p1[5] == p2[5]); } return BROTLI_FALSE; } /* Builds a command and distance prefix code (each 64 symbols) into "depth" and "bits" based on "histogram" and stores it into the bit stream. */ static void BuildAndStoreCommandPrefixCode(BrotliTwoPassArena* s, size_t* storage_ix, uint8_t* storage) { /* Tree size for building a tree over 64 symbols is 2 * 64 + 1. */ /* TODO(eustas): initialize once. */ memset(s->tmp_depth, 0, sizeof(s->tmp_depth)); BrotliCreateHuffmanTree(s->cmd_histo, 64, 15, s->tmp_tree, s->cmd_depth); BrotliCreateHuffmanTree(&s->cmd_histo[64], 64, 14, s->tmp_tree, &s->cmd_depth[64]); /* We have to jump through a few hoops here in order to compute the command bits because the symbols are in a different order than in the full alphabet. This looks complicated, but having the symbols in this order in the command bits saves a few branches in the Emit* functions. */ memcpy(s->tmp_depth, s->cmd_depth + 24, 24); memcpy(s->tmp_depth + 24, s->cmd_depth, 8); memcpy(s->tmp_depth + 32, s->cmd_depth + 48, 8); memcpy(s->tmp_depth + 40, s->cmd_depth + 8, 8); memcpy(s->tmp_depth + 48, s->cmd_depth + 56, 8); memcpy(s->tmp_depth + 56, s->cmd_depth + 16, 8); BrotliConvertBitDepthsToSymbols(s->tmp_depth, 64, s->tmp_bits); memcpy(s->cmd_bits, s->tmp_bits + 24, 16); memcpy(s->cmd_bits + 8, s->tmp_bits + 40, 16); memcpy(s->cmd_bits + 16, s->tmp_bits + 56, 16); memcpy(s->cmd_bits + 24, s->tmp_bits, 48); memcpy(s->cmd_bits + 48, s->tmp_bits + 32, 16); memcpy(s->cmd_bits + 56, s->tmp_bits + 48, 16); BrotliConvertBitDepthsToSymbols(&s->cmd_depth[64], 64, &s->cmd_bits[64]); { /* Create the bit length array for the full command alphabet. */ size_t i; memset(s->tmp_depth, 0, 64); /* only 64 first values were used */ memcpy(s->tmp_depth, s->cmd_depth + 24, 8); memcpy(s->tmp_depth + 64, s->cmd_depth + 32, 8); memcpy(s->tmp_depth + 128, s->cmd_depth + 40, 8); memcpy(s->tmp_depth + 192, s->cmd_depth + 48, 8); memcpy(s->tmp_depth + 384, s->cmd_depth + 56, 8); for (i = 0; i < 8; ++i) { s->tmp_depth[128 + 8 * i] = s->cmd_depth[i]; s->tmp_depth[256 + 8 * i] = s->cmd_depth[8 + i]; s->tmp_depth[448 + 8 * i] = s->cmd_depth[16 + i]; } BrotliStoreHuffmanTree(s->tmp_depth, BROTLI_NUM_COMMAND_SYMBOLS, s->tmp_tree, storage_ix, storage); } BrotliStoreHuffmanTree(&s->cmd_depth[64], 64, s->tmp_tree, storage_ix, storage); } static BROTLI_INLINE void EmitInsertLen( uint32_t insertlen, uint32_t** commands) { if (insertlen < 6) { **commands = insertlen; } else if (insertlen < 130) { const uint32_t tail = insertlen - 2; const uint32_t nbits = Log2FloorNonZero(tail) - 1u; const uint32_t prefix = tail >> nbits; const uint32_t inscode = (nbits << 1) + prefix + 2; const uint32_t extra = tail - (prefix << nbits); **commands = inscode | (extra << 8); } else if (insertlen < 2114) { const uint32_t tail = insertlen - 66; const uint32_t nbits = Log2FloorNonZero(tail); const uint32_t code = nbits + 10; const uint32_t extra = tail - (1u << nbits); **commands = code | (extra << 8); } else if (insertlen < 6210) { const uint32_t extra = insertlen - 2114; **commands = 21 | (extra << 8); } else if (insertlen < 22594) { const uint32_t extra = insertlen - 6210; **commands = 22 | (extra << 8); } else { const uint32_t extra = insertlen - 22594; **commands = 23 | (extra << 8); } ++(*commands); } static BROTLI_INLINE void EmitCopyLen(size_t copylen, uint32_t** commands) { if (copylen < 10) { **commands = (uint32_t)(copylen + 38); } else if (copylen < 134) { const size_t tail = copylen - 6; const size_t nbits = Log2FloorNonZero(tail) - 1; const size_t prefix = tail >> nbits; const size_t code = (nbits << 1) + prefix + 44; const size_t extra = tail - (prefix << nbits); **commands = (uint32_t)(code | (extra << 8)); } else if (copylen < 2118) { const size_t tail = copylen - 70; const size_t nbits = Log2FloorNonZero(tail); const size_t code = nbits + 52; const size_t extra = tail - ((size_t)1 << nbits); **commands = (uint32_t)(code | (extra << 8)); } else { const size_t extra = copylen - 2118; **commands = (uint32_t)(63 | (extra << 8)); } ++(*commands); } static BROTLI_INLINE void EmitCopyLenLastDistance( size_t copylen, uint32_t** commands) { if (copylen < 12) { **commands = (uint32_t)(copylen + 20); ++(*commands); } else if (copylen < 72) { const size_t tail = copylen - 8; const size_t nbits = Log2FloorNonZero(tail) - 1; const size_t prefix = tail >> nbits; const size_t code = (nbits << 1) + prefix + 28; const size_t extra = tail - (prefix << nbits); **commands = (uint32_t)(code | (extra << 8)); ++(*commands); } else if (copylen < 136) { const size_t tail = copylen - 8; const size_t code = (tail >> 5) + 54; const size_t extra = tail & 31; **commands = (uint32_t)(code | (extra << 8)); ++(*commands); **commands = 64; ++(*commands); } else if (copylen < 2120) { const size_t tail = copylen - 72; const size_t nbits = Log2FloorNonZero(tail); const size_t code = nbits + 52; const size_t extra = tail - ((size_t)1 << nbits); **commands = (uint32_t)(code | (extra << 8)); ++(*commands); **commands = 64; ++(*commands); } else { const size_t extra = copylen - 2120; **commands = (uint32_t)(63 | (extra << 8)); ++(*commands); **commands = 64; ++(*commands); } } static BROTLI_INLINE void EmitDistance(uint32_t distance, uint32_t** commands) { uint32_t d = distance + 3; uint32_t nbits = Log2FloorNonZero(d) - 1; const uint32_t prefix = (d >> nbits) & 1; const uint32_t offset = (2 + prefix) << nbits; const uint32_t distcode = 2 * (nbits - 1) + prefix + 80; uint32_t extra = d - offset; **commands = distcode | (extra << 8); ++(*commands); } /* REQUIRES: len <= 1 << 24. */ static void BrotliStoreMetaBlockHeader( size_t len, BROTLI_BOOL is_uncompressed, size_t* storage_ix, uint8_t* storage) { size_t nibbles = 6; /* ISLAST */ BrotliWriteBits(1, 0, storage_ix, storage); if (len <= (1U << 16)) { nibbles = 4; } else if (len <= (1U << 20)) { nibbles = 5; } BrotliWriteBits(2, nibbles - 4, storage_ix, storage); BrotliWriteBits(nibbles * 4, len - 1, storage_ix, storage); /* ISUNCOMPRESSED */ BrotliWriteBits(1, (uint64_t)is_uncompressed, storage_ix, storage); } static BROTLI_INLINE void CreateCommands(const uint8_t* input, size_t block_size, size_t input_size, const uint8_t* base_ip, int* table, size_t table_bits, size_t min_match, uint8_t** literals, uint32_t** commands) { /* "ip" is the input pointer. */ const uint8_t* ip = input; const size_t shift = 64u - table_bits; const uint8_t* ip_end = input + block_size; /* "next_emit" is a pointer to the first byte that is not covered by a previous copy. Bytes between "next_emit" and the start of the next copy or the end of the input will be emitted as literal bytes. */ const uint8_t* next_emit = input; int last_distance = -1; const size_t kInputMarginBytes = BROTLI_WINDOW_GAP; if (BROTLI_PREDICT_TRUE(block_size >= kInputMarginBytes)) { /* For the last block, we need to keep a 16 bytes margin so that we can be sure that all distances are at most window size - 16. For all other blocks, we only need to keep a margin of 5 bytes so that we don't go over the block size with a copy. */ const size_t len_limit = BROTLI_MIN(size_t, block_size - min_match, input_size - kInputMarginBytes); const uint8_t* ip_limit = input + len_limit; uint32_t next_hash; for (next_hash = Hash(++ip, shift, min_match); ; ) { /* Step 1: Scan forward in the input looking for a 6-byte-long match. If we get close to exhausting the input then goto emit_remainder. Heuristic match skipping: If 32 bytes are scanned with no matches found, start looking only at every other byte. If 32 more bytes are scanned, look at every third byte, etc.. When a match is found, immediately go back to looking at every byte. This is a small loss (~5% performance, ~0.1% density) for compressible data due to more bookkeeping, but for non-compressible data (such as JPEG) it's a huge win since the compressor quickly "realizes" the data is incompressible and doesn't bother looking for matches everywhere. The "skip" variable keeps track of how many bytes there are since the last match; dividing it by 32 (ie. right-shifting by five) gives the number of bytes to move ahead for each iteration. */ uint32_t skip = 32; const uint8_t* next_ip = ip; const uint8_t* candidate; BROTLI_DCHECK(next_emit < ip); trawl: do { uint32_t hash = next_hash; uint32_t bytes_between_hash_lookups = skip++ >> 5; ip = next_ip; BROTLI_DCHECK(hash == Hash(ip, shift, min_match)); next_ip = ip + bytes_between_hash_lookups; if (BROTLI_PREDICT_FALSE(next_ip > ip_limit)) { goto emit_remainder; } next_hash = Hash(next_ip, shift, min_match); candidate = ip - last_distance; if (IsMatch(ip, candidate, min_match)) { if (BROTLI_PREDICT_TRUE(candidate < ip)) { table[hash] = (int)(ip - base_ip); break; } } candidate = base_ip + table[hash]; BROTLI_DCHECK(candidate >= base_ip); BROTLI_DCHECK(candidate < ip); table[hash] = (int)(ip - base_ip); } while (BROTLI_PREDICT_TRUE(!IsMatch(ip, candidate, min_match))); /* Check copy distance. If candidate is not feasible, continue search. Checking is done outside of hot loop to reduce overhead. */ if (ip - candidate > MAX_DISTANCE) goto trawl; /* Step 2: Emit the found match together with the literal bytes from "next_emit", and then see if we can find a next match immediately afterwards. Repeat until we find no match for the input without emitting some literal bytes. */ { /* We have a 6-byte match at ip, and we need to emit bytes in [next_emit, ip). */ const uint8_t* base = ip; size_t matched = min_match + FindMatchLengthWithLimit( candidate + min_match, ip + min_match, (size_t)(ip_end - ip) - min_match); int distance = (int)(base - candidate); /* > 0 */ int insert = (int)(base - next_emit); ip += matched; BROTLI_DCHECK(0 == memcmp(base, candidate, matched)); EmitInsertLen((uint32_t)insert, commands); BROTLI_LOG(("[CompressFragment] pos = %d insert = %d copy = %d\n", (int)(next_emit - base_ip), insert, 2)); memcpy(*literals, next_emit, (size_t)insert); *literals += insert; if (distance == last_distance) { **commands = 64; ++(*commands); } else { EmitDistance((uint32_t)distance, commands); last_distance = distance; } EmitCopyLenLastDistance(matched, commands); BROTLI_LOG(("[CompressFragment] pos = %d distance = %d\n" "[CompressFragment] pos = %d insert = %d copy = %d\n" "[CompressFragment] pos = %d distance = %d\n", (int)(base - base_ip), (int)distance, (int)(base - base_ip) + 2, 0, (int)matched - 2, (int)(base - base_ip) + 2, (int)distance)); next_emit = ip; if (BROTLI_PREDICT_FALSE(ip >= ip_limit)) { goto emit_remainder; } { /* We could immediately start working at ip now, but to improve compression we first update "table" with the hashes of some positions within the last copy. */ uint64_t input_bytes; uint32_t cur_hash; uint32_t prev_hash; if (min_match == 4) { input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 3); cur_hash = HashBytesAtOffset(input_bytes, 3, shift, min_match); prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 3); prev_hash = HashBytesAtOffset(input_bytes, 1, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 2); prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 1); } else { input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 5); prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 5); prev_hash = HashBytesAtOffset(input_bytes, 1, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 4); prev_hash = HashBytesAtOffset(input_bytes, 2, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 3); input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 2); cur_hash = HashBytesAtOffset(input_bytes, 2, shift, min_match); prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 2); prev_hash = HashBytesAtOffset(input_bytes, 1, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 1); } candidate = base_ip + table[cur_hash]; table[cur_hash] = (int)(ip - base_ip); } } while (ip - candidate <= MAX_DISTANCE && IsMatch(ip, candidate, min_match)) { /* We have a 6-byte match at ip, and no need to emit any literal bytes prior to ip. */ const uint8_t* base = ip; size_t matched = min_match + FindMatchLengthWithLimit( candidate + min_match, ip + min_match, (size_t)(ip_end - ip) - min_match); ip += matched; last_distance = (int)(base - candidate); /* > 0 */ BROTLI_DCHECK(0 == memcmp(base, candidate, matched)); EmitCopyLen(matched, commands); EmitDistance((uint32_t)last_distance, commands); BROTLI_LOG(("[CompressFragment] pos = %d insert = %d copy = %d\n" "[CompressFragment] pos = %d distance = %d\n", (int)(base - base_ip), 0, (int)matched, (int)(base - base_ip), (int)last_distance)); next_emit = ip; if (BROTLI_PREDICT_FALSE(ip >= ip_limit)) { goto emit_remainder; } { /* We could immediately start working at ip now, but to improve compression we first update "table" with the hashes of some positions within the last copy. */ uint64_t input_bytes; uint32_t cur_hash; uint32_t prev_hash; if (min_match == 4) { input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 3); cur_hash = HashBytesAtOffset(input_bytes, 3, shift, min_match); prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 3); prev_hash = HashBytesAtOffset(input_bytes, 1, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 2); prev_hash = HashBytesAtOffset(input_bytes, 2, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 1); } else { input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 5); prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 5); prev_hash = HashBytesAtOffset(input_bytes, 1, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 4); prev_hash = HashBytesAtOffset(input_bytes, 2, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 3); input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 2); cur_hash = HashBytesAtOffset(input_bytes, 2, shift, min_match); prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 2); prev_hash = HashBytesAtOffset(input_bytes, 1, shift, min_match); table[prev_hash] = (int)(ip - base_ip - 1); } candidate = base_ip + table[cur_hash]; table[cur_hash] = (int)(ip - base_ip); } } next_hash = Hash(++ip, shift, min_match); } } emit_remainder: BROTLI_DCHECK(next_emit <= ip_end); /* Emit the remaining bytes as literals. */ if (next_emit < ip_end) { const uint32_t insert = (uint32_t)(ip_end - next_emit); EmitInsertLen(insert, commands); BROTLI_LOG(("[CompressFragment] pos = %d insert = %d copy = %d\n", (int)(next_emit - base_ip), insert, 2)); memcpy(*literals, next_emit, insert); *literals += insert; } } static void StoreCommands(BrotliTwoPassArena* s, const uint8_t* literals, const size_t num_literals, const uint32_t* commands, const size_t num_commands, size_t* storage_ix, uint8_t* storage) { static const uint32_t kNumExtraBits[128] = { 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 10, 12, 14, 24, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 10, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, }; static const uint32_t kInsertOffset[24] = { 0, 1, 2, 3, 4, 5, 6, 8, 10, 14, 18, 26, 34, 50, 66, 98, 130, 194, 322, 578, 1090, 2114, 6210, 22594, }; size_t i; memset(s->lit_histo, 0, sizeof(s->lit_histo)); /* TODO(eustas): is that necessary? */ memset(s->cmd_depth, 0, sizeof(s->cmd_depth)); /* TODO(eustas): is that necessary? */ memset(s->cmd_bits, 0, sizeof(s->cmd_bits)); memset(s->cmd_histo, 0, sizeof(s->cmd_histo)); for (i = 0; i < num_literals; ++i) { ++s->lit_histo[literals[i]]; } BrotliBuildAndStoreHuffmanTreeFast(s->tmp_tree, s->lit_histo, num_literals, /* max_bits = */ 8, s->lit_depth, s->lit_bits, storage_ix, storage); for (i = 0; i < num_commands; ++i) { const uint32_t code = commands[i] & 0xFF; BROTLI_DCHECK(code < 128); ++s->cmd_histo[code]; } s->cmd_histo[1] += 1; s->cmd_histo[2] += 1; s->cmd_histo[64] += 1; s->cmd_histo[84] += 1; BuildAndStoreCommandPrefixCode(s, storage_ix, storage); for (i = 0; i < num_commands; ++i) { const uint32_t cmd = commands[i]; const uint32_t code = cmd & 0xFF; const uint32_t extra = cmd >> 8; BROTLI_DCHECK(code < 128); BrotliWriteBits(s->cmd_depth[code], s->cmd_bits[code], storage_ix, storage); BrotliWriteBits(kNumExtraBits[code], extra, storage_ix, storage); if (code < 24) { const uint32_t insert = kInsertOffset[code] + extra; uint32_t j; for (j = 0; j < insert; ++j) { const uint8_t lit = *literals; BrotliWriteBits(s->lit_depth[lit], s->lit_bits[lit], storage_ix, storage); ++literals; } } } } /* Acceptable loss for uncompressible speedup is 2% */ #define MIN_RATIO 0.98 #define SAMPLE_RATE 43 static BROTLI_BOOL ShouldCompress(BrotliTwoPassArena* s, const uint8_t* input, size_t input_size, size_t num_literals) { double corpus_size = (double)input_size; if ((double)num_literals < MIN_RATIO * corpus_size) { return BROTLI_TRUE; } else { const double max_total_bit_cost = corpus_size * 8 * MIN_RATIO / SAMPLE_RATE; size_t i; memset(s->lit_histo, 0, sizeof(s->lit_histo)); for (i = 0; i < input_size; i += SAMPLE_RATE) { ++s->lit_histo[input[i]]; } return TO_BROTLI_BOOL(BitsEntropy(s->lit_histo, 256) < max_total_bit_cost); } } static void RewindBitPosition(const size_t new_storage_ix, size_t* storage_ix, uint8_t* storage) { const size_t bitpos = new_storage_ix & 7; const size_t mask = (1u << bitpos) - 1; storage[new_storage_ix >> 3] &= (uint8_t)mask; *storage_ix = new_storage_ix; } static void EmitUncompressedMetaBlock(const uint8_t* input, size_t input_size, size_t* storage_ix, uint8_t* storage) { BrotliStoreMetaBlockHeader(input_size, 1, storage_ix, storage); *storage_ix = (*storage_ix + 7u) & ~7u; memcpy(&storage[*storage_ix >> 3], input, input_size); *storage_ix += input_size << 3; storage[*storage_ix >> 3] = 0; } static BROTLI_INLINE void BrotliCompressFragmentTwoPassImpl( BrotliTwoPassArena* s, const uint8_t* input, size_t input_size, BROTLI_BOOL is_last, uint32_t* command_buf, uint8_t* literal_buf, int* table, size_t table_bits, size_t min_match, size_t* storage_ix, uint8_t* storage) { /* Save the start of the first block for position and distance computations. */ const uint8_t* base_ip = input; BROTLI_UNUSED(is_last); while (input_size > 0) { size_t block_size = BROTLI_MIN(size_t, input_size, kCompressFragmentTwoPassBlockSize); uint32_t* commands = command_buf; uint8_t* literals = literal_buf; size_t num_literals; CreateCommands(input, block_size, input_size, base_ip, table, table_bits, min_match, &literals, &commands); num_literals = (size_t)(literals - literal_buf); if (ShouldCompress(s, input, block_size, num_literals)) { const size_t num_commands = (size_t)(commands - command_buf); BrotliStoreMetaBlockHeader(block_size, 0, storage_ix, storage); /* No block splits, no contexts. */ BrotliWriteBits(13, 0, storage_ix, storage); StoreCommands(s, literal_buf, num_literals, command_buf, num_commands, storage_ix, storage); } else { /* Since we did not find many backward references and the entropy of the data is close to 8 bits, we can simply emit an uncompressed block. This makes compression speed of uncompressible data about 3x faster. */ EmitUncompressedMetaBlock(input, block_size, storage_ix, storage); } input += block_size; input_size -= block_size; } } #define FOR_TABLE_BITS_(X) \ X(8) X(9) X(10) X(11) X(12) X(13) X(14) X(15) X(16) X(17) #define BAKE_METHOD_PARAM_(B) \ static BROTLI_NOINLINE void BrotliCompressFragmentTwoPassImpl ## B( \ BrotliTwoPassArena* s, const uint8_t* input, size_t input_size, \ BROTLI_BOOL is_last, uint32_t* command_buf, uint8_t* literal_buf, \ int* table, size_t* storage_ix, uint8_t* storage) { \ size_t min_match = (B <= 15) ? 4 : 6; \ BrotliCompressFragmentTwoPassImpl(s, input, input_size, is_last, command_buf,\ literal_buf, table, B, min_match, storage_ix, storage); \ } FOR_TABLE_BITS_(BAKE_METHOD_PARAM_) #undef BAKE_METHOD_PARAM_ void BrotliCompressFragmentTwoPass( BrotliTwoPassArena* s, const uint8_t* input, size_t input_size, BROTLI_BOOL is_last, uint32_t* command_buf, uint8_t* literal_buf, int* table, size_t table_size, size_t* storage_ix, uint8_t* storage) { const size_t initial_storage_ix = *storage_ix; const size_t table_bits = Log2FloorNonZero(table_size); switch (table_bits) { #define CASE_(B) \ case B: \ BrotliCompressFragmentTwoPassImpl ## B( \ s, input, input_size, is_last, command_buf, \ literal_buf, table, storage_ix, storage); \ break; FOR_TABLE_BITS_(CASE_) #undef CASE_ default: BROTLI_DCHECK(0); break; } /* If output is larger than single uncompressed block, rewrite it. */ if (*storage_ix - initial_storage_ix > 31 + (input_size << 3)) { RewindBitPosition(initial_storage_ix, storage_ix, storage); EmitUncompressedMetaBlock(input, input_size, storage_ix, storage); } if (is_last) { BrotliWriteBits(1, 1, storage_ix, storage); /* islast */ BrotliWriteBits(1, 1, storage_ix, storage); /* isempty */ *storage_ix = (*storage_ix + 7u) & ~7u; } } #undef FOR_TABLE_BITS_ #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/common/0000755000175000017500000000000014722655051016234 5ustar timtimIO-Compress-Brotli-0.019/brotli/c/common/dictionary.c0000644000175000017500000163171114606651213020554 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ #include "dictionary.h" #include "platform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #if !defined(BROTLI_EXTERNAL_DICTIONARY_DATA) static const uint8_t kBrotliDictionaryData[] = /* GENERATED CODE START */ { 116,105,109,101,100,111,119,110,108,105,102,101,108,101,102,116,98,97,99,107,99, 111,100,101,100,97,116,97,115,104,111,119,111,110,108,121,115,105,116,101,99,105 ,116,121,111,112,101,110,106,117,115,116,108,105,107,101,102,114,101,101,119,111 ,114,107,116,101,120,116,121,101,97,114,111,118,101,114,98,111,100,121,108,111, 118,101,102,111,114,109,98,111,111,107,112,108,97,121,108,105,118,101,108,105, 110,101,104,101,108,112,104,111,109,101,115,105,100,101,109,111,114,101,119,111, 114,100,108,111,110,103,116,104,101,109,118,105,101,119,102,105,110,100,112,97, 103,101,100,97,121,115,102,117,108,108,104,101,97,100,116,101,114,109,101,97,99, 104,97,114,101,97,102,114,111,109,116,114,117,101,109,97,114,107,97,98,108,101, 117,112,111,110,104,105,103,104,100,97,116,101,108,97,110,100,110,101,119,115, 101,118,101,110,110,101,120,116,99,97,115,101,98,111,116,104,112,111,115,116,117 ,115,101,100,109,97,100,101,104,97,110,100,104,101,114,101,119,104,97,116,110,97 ,109,101,76,105,110,107,98,108,111,103,115,105,122,101,98,97,115,101,104,101,108 ,100,109,97,107,101,109,97,105,110,117,115,101,114,39,41,32,43,104,111,108,100, 101,110,100,115,119,105,116,104,78,101,119,115,114,101,97,100,119,101,114,101, 115,105,103,110,116,97,107,101,104,97,118,101,103,97,109,101,115,101,101,110,99, 97,108,108,112,97,116,104,119,101,108,108,112,108,117,115,109,101,110,117,102, 105,108,109,112,97,114,116,106,111,105,110,116,104,105,115,108,105,115,116,103, 111,111,100,110,101,101,100,119,97,121,115,119,101,115,116,106,111,98,115,109, 105,110,100,97,108,115,111,108,111,103,111,114,105,99,104,117,115,101,115,108,97 ,115,116,116,101,97,109,97,114,109,121,102,111,111,100,107,105,110,103,119,105, 108,108,101,97,115,116,119,97,114,100,98,101,115,116,102,105,114,101,80,97,103, 101,107,110,111,119,97,119,97,121,46,112,110,103,109,111,118,101,116,104,97,110, 108,111,97,100,103,105,118,101,115,101,108,102,110,111,116,101,109,117,99,104, 102,101,101,100,109,97,110,121,114,111,99,107,105,99,111,110,111,110,99,101,108, 111,111,107,104,105,100,101,100,105,101,100,72,111,109,101,114,117,108,101,104, 111,115,116,97,106,97,120,105,110,102,111,99,108,117,98,108,97,119,115,108,101, 115,115,104,97,108,102,115,111,109,101,115,117,99,104,122,111,110,101,49,48,48, 37,111,110,101,115,99,97,114,101,84,105,109,101,114,97,99,101,98,108,117,101,102 ,111,117,114,119,101,101,107,102,97,99,101,104,111,112,101,103,97,118,101,104,97 ,114,100,108,111,115,116,119,104,101,110,112,97,114,107,107,101,112,116,112,97, 115,115,115,104,105,112,114,111,111,109,72,84,77,76,112,108,97,110,84,121,112, 101,100,111,110,101,115,97,118,101,107,101,101,112,102,108,97,103,108,105,110, 107,115,111,108,100,102,105,118,101,116,111,111,107,114,97,116,101,116,111,119, 110,106,117,109,112,116,104,117,115,100,97,114,107,99,97,114,100,102,105,108,101 ,102,101,97,114,115,116,97,121,107,105,108,108,116,104,97,116,102,97,108,108,97, 117,116,111,101,118,101,114,46,99,111,109,116,97,108,107,115,104,111,112,118,111 ,116,101,100,101,101,112,109,111,100,101,114,101,115,116,116,117,114,110,98,111, 114,110,98,97,110,100,102,101,108,108,114,111,115,101,117,114,108,40,115,107,105 ,110,114,111,108,101,99,111,109,101,97,99,116,115,97,103,101,115,109,101,101,116 ,103,111,108,100,46,106,112,103,105,116,101,109,118,97,114,121,102,101,108,116, 116,104,101,110,115,101,110,100,100,114,111,112,86,105,101,119,99,111,112,121,49 ,46,48,34,60,47,97,62,115,116,111,112,101,108,115,101,108,105,101,115,116,111, 117,114,112,97,99,107,46,103,105,102,112,97,115,116,99,115,115,63,103,114,97,121 ,109,101,97,110,38,103,116,59,114,105,100,101,115,104,111,116,108,97,116,101,115 ,97,105,100,114,111,97,100,118,97,114,32,102,101,101,108,106,111,104,110,114,105 ,99,107,112,111,114,116,102,97,115,116,39,85,65,45,100,101,97,100,60,47,98,62, 112,111,111,114,98,105,108,108,116,121,112,101,85,46,83,46,119,111,111,100,109, 117,115,116,50,112,120,59,73,110,102,111,114,97,110,107,119,105,100,101,119,97, 110,116,119,97,108,108,108,101,97,100,91,48,93,59,112,97,117,108,119,97,118,101, 115,117,114,101,36,40,39,35,119,97,105,116,109,97,115,115,97,114,109,115,103,111 ,101,115,103,97,105,110,108,97,110,103,112,97,105,100,33,45,45,32,108,111,99,107 ,117,110,105,116,114,111,111,116,119,97,108,107,102,105,114,109,119,105,102,101, 120,109,108,34,115,111,110,103,116,101,115,116,50,48,112,120,107,105,110,100,114 ,111,119,115,116,111,111,108,102,111,110,116,109,97,105,108,115,97,102,101,115, 116,97,114,109,97,112,115,99,111,114,101,114,97,105,110,102,108,111,119,98,97,98 ,121,115,112,97,110,115,97,121,115,52,112,120,59,54,112,120,59,97,114,116,115, 102,111,111,116,114,101,97,108,119,105,107,105,104,101,97,116,115,116,101,112, 116,114,105,112,111,114,103,47,108,97,107,101,119,101,97,107,116,111,108,100,70, 111,114,109,99,97,115,116,102,97,110,115,98,97,110,107,118,101,114,121,114,117, 110,115,106,117,108,121,116,97,115,107,49,112,120,59,103,111,97,108,103,114,101, 119,115,108,111,119,101,100,103,101,105,100,61,34,115,101,116,115,53,112,120,59, 46,106,115,63,52,48,112,120,105,102,32,40,115,111,111,110,115,101,97,116,110,111 ,110,101,116,117,98,101,122,101,114,111,115,101,110,116,114,101,101,100,102,97, 99,116,105,110,116,111,103,105,102,116,104,97,114,109,49,56,112,120,99,97,109, 101,104,105,108,108,98,111,108,100,122,111,111,109,118,111,105,100,101,97,115, 121,114,105,110,103,102,105,108,108,112,101,97,107,105,110,105,116,99,111,115, 116,51,112,120,59,106,97,99,107,116,97,103,115,98,105,116,115,114,111,108,108, 101,100,105,116,107,110,101,119,110,101,97,114,60,33,45,45,103,114,111,119,74,83 ,79,78,100,117,116,121,78,97,109,101,115,97,108,101,121,111,117,32,108,111,116, 115,112,97,105,110,106,97,122,122,99,111,108,100,101,121,101,115,102,105,115,104 ,119,119,119,46,114,105,115,107,116,97,98,115,112,114,101,118,49,48,112,120,114, 105,115,101,50,53,112,120,66,108,117,101,100,105,110,103,51,48,48,44,98,97,108, 108,102,111,114,100,101,97,114,110,119,105,108,100,98,111,120,46,102,97,105,114, 108,97,99,107,118,101,114,115,112,97,105,114,106,117,110,101,116,101,99,104,105, 102,40,33,112,105,99,107,101,118,105,108,36,40,34,35,119,97,114,109,108,111,114, 100,100,111,101,115,112,117,108,108,44,48,48,48,105,100,101,97,100,114,97,119, 104,117,103,101,115,112,111,116,102,117,110,100,98,117,114,110,104,114,101,102, 99,101,108,108,107,101,121,115,116,105,99,107,104,111,117,114,108,111,115,115, 102,117,101,108,49,50,112,120,115,117,105,116,100,101,97,108,82,83,83,34,97,103, 101,100,103,114,101,121,71,69,84,34,101,97,115,101,97,105,109,115,103,105,114, 108,97,105,100,115,56,112,120,59,110,97,118,121,103,114,105,100,116,105,112,115, 35,57,57,57,119,97,114,115,108,97,100,121,99,97,114,115,41,59,32,125,112,104,112 ,63,104,101,108,108,116,97,108,108,119,104,111,109,122,104,58,229,42,47,13,10,32 ,49,48,48,104,97,108,108,46,10,10,65,55,112,120,59,112,117,115,104,99,104,97,116 ,48,112,120,59,99,114,101,119,42,47,60,47,104,97,115,104,55,53,112,120,102,108, 97,116,114,97,114,101,32,38,38,32,116,101,108,108,99,97,109,112,111,110,116,111, 108,97,105,100,109,105,115,115,115,107,105,112,116,101,110,116,102,105,110,101, 109,97,108,101,103,101,116,115,112,108,111,116,52,48,48,44,13,10,13,10,99,111, 111,108,102,101,101,116,46,112,104,112,60,98,114,62,101,114,105,99,109,111,115, 116,103,117,105,100,98,101,108,108,100,101,115,99,104,97,105,114,109,97,116,104, 97,116,111,109,47,105,109,103,38,35,56,50,108,117,99,107,99,101,110,116,48,48,48 ,59,116,105,110,121,103,111,110,101,104,116,109,108,115,101,108,108,100,114,117, 103,70,82,69,69,110,111,100,101,110,105,99,107,63,105,100,61,108,111,115,101,110 ,117,108,108,118,97,115,116,119,105,110,100,82,83,83,32,119,101,97,114,114,101, 108,121,98,101,101,110,115,97,109,101,100,117,107,101,110,97,115,97,99,97,112, 101,119,105,115,104,103,117,108,102,84,50,51,58,104,105,116,115,115,108,111,116, 103,97,116,101,107,105,99,107,98,108,117,114,116,104,101,121,49,53,112,120,39,39 ,41,59,41,59,34,62,109,115,105,101,119,105,110,115,98,105,114,100,115,111,114, 116,98,101,116,97,115,101,101,107,84,49,56,58,111,114,100,115,116,114,101,101, 109,97,108,108,54,48,112,120,102,97,114,109,226,128,153,115,98,111,121,115,91,48 ,93,46,39,41,59,34,80,79,83,84,98,101,97,114,107,105,100,115,41,59,125,125,109, 97,114,121,116,101,110,100,40,85,75,41,113,117,97,100,122,104,58,230,45,115,105, 122,45,45,45,45,112,114,111,112,39,41,59,13,108,105,102,116,84,49,57,58,118,105, 99,101,97,110,100,121,100,101,98,116,62,82,83,83,112,111,111,108,110,101,99,107, 98,108,111,119,84,49,54,58,100,111,111,114,101,118,97,108,84,49,55,58,108,101, 116,115,102,97,105,108,111,114,97,108,112,111,108,108,110,111,118,97,99,111,108, 115,103,101,110,101,32,226,128,148,115,111,102,116,114,111,109,101,116,105,108, 108,114,111,115,115,60,104,51,62,112,111,117,114,102,97,100,101,112,105,110,107, 60,116,114,62,109,105,110,105,41,124,33,40,109,105,110,101,122,104,58,232,98,97, 114,115,104,101,97,114,48,48,41,59,109,105,108,107,32,45,45,62,105,114,111,110, 102,114,101,100,100,105,115,107,119,101,110,116,115,111,105,108,112,117,116,115, 47,106,115,47,104,111,108,121,84,50,50,58,73,83,66,78,84,50,48,58,97,100,97,109, 115,101,101,115,60,104,50,62,106,115,111,110,39,44,32,39,99,111,110,116,84,50,49 ,58,32,82,83,83,108,111,111,112,97,115,105,97,109,111,111,110,60,47,112,62,115, 111,117,108,76,73,78,69,102,111,114,116,99,97,114,116,84,49,52,58,60,104,49,62, 56,48,112,120,33,45,45,60,57,112,120,59,84,48,52,58,109,105,107,101,58,52,54,90, 110,105,99,101,105,110,99,104,89,111,114,107,114,105,99,101,122,104,58,228,39,41 ,41,59,112,117,114,101,109,97,103,101,112,97,114,97,116,111,110,101,98,111,110, 100,58,51,55,90,95,111,102,95,39,93,41,59,48,48,48,44,122,104,58,231,116,97,110, 107,121,97,114,100,98,111,119,108,98,117,115,104,58,53,54,90,74,97,118,97,51,48, 112,120,10,124,125,10,37,67,51,37,58,51,52,90,106,101,102,102,69,88,80,73,99,97, 115,104,118,105,115,97,103,111,108,102,115,110,111,119,122,104,58,233,113,117, 101,114,46,99,115,115,115,105,99,107,109,101,97,116,109,105,110,46,98,105,110, 100,100,101,108,108,104,105,114,101,112,105,99,115,114,101,110,116,58,51,54,90, 72,84,84,80,45,50,48,49,102,111,116,111,119,111,108,102,69,78,68,32,120,98,111, 120,58,53,52,90,66,79,68,89,100,105,99,107,59,10,125,10,101,120,105,116,58,51,53 ,90,118,97,114,115,98,101,97,116,39,125,41,59,100,105,101,116,57,57,57,59,97,110 ,110,101,125,125,60,47,91,105,93,46,76,97,110,103,107,109,194,178,119,105,114, 101,116,111,121,115,97,100,100,115,115,101,97,108,97,108,101,120,59,10,9,125,101 ,99,104,111,110,105,110,101,46,111,114,103,48,48,53,41,116,111,110,121,106,101, 119,115,115,97,110,100,108,101,103,115,114,111,111,102,48,48,48,41,32,50,48,48, 119,105,110,101,103,101,97,114,100,111,103,115,98,111,111,116,103,97,114,121,99, 117,116,115,116,121,108,101,116,101,109,112,116,105,111,110,46,120,109,108,99, 111,99,107,103,97,110,103,36,40,39,46,53,48,112,120,80,104,46,68,109,105,115,99, 97,108,97,110,108,111,97,110,100,101,115,107,109,105,108,101,114,121,97,110,117, 110,105,120,100,105,115,99,41,59,125,10,100,117,115,116,99,108,105,112,41,46,10, 10,55,48,112,120,45,50,48,48,68,86,68,115,55,93,62,60,116,97,112,101,100,101,109 ,111,105,43,43,41,119,97,103,101,101,117,114,111,112,104,105,108,111,112,116,115 ,104,111,108,101,70,65,81,115,97,115,105,110,45,50,54,84,108,97,98,115,112,101, 116,115,85,82,76,32,98,117,108,107,99,111,111,107,59,125,13,10,72,69,65,68,91,48 ,93,41,97,98,98,114,106,117,97,110,40,49,57,56,108,101,115,104,116,119,105,110, 60,47,105,62,115,111,110,121,103,117,121,115,102,117,99,107,112,105,112,101,124, 45,10,33,48,48,50,41,110,100,111,119,91,49,93,59,91,93,59,10,76,111,103,32,115, 97,108,116,13,10,9,9,98,97,110,103,116,114,105,109,98,97,116,104,41,123,13,10,48 ,48,112,120,10,125,41,59,107,111,58,236,102,101,101,115,97,100,62,13,115,58,47, 47,32,91,93,59,116,111,108,108,112,108,117,103,40,41,123,10,123,13,10,32,46,106, 115,39,50,48,48,112,100,117,97,108,98,111,97,116,46,74,80,71,41,59,10,125,113, 117,111,116,41,59,10,10,39,41,59,10,13,10,125,13,50,48,49,52,50,48,49,53,50,48, 49,54,50,48,49,55,50,48,49,56,50,48,49,57,50,48,50,48,50,48,50,49,50,48,50,50,50 ,48,50,51,50,48,50,52,50,48,50,53,50,48,50,54,50,48,50,55,50,48,50,56,50,48,50, 57,50,48,51,48,50,48,51,49,50,48,51,50,50,48,51,51,50,48,51,52,50,48,51,53,50,48 ,51,54,50,48,51,55,50,48,49,51,50,48,49,50,50,48,49,49,50,48,49,48,50,48,48,57, 50,48,48,56,50,48,48,55,50,48,48,54,50,48,48,53,50,48,48,52,50,48,48,51,50,48,48 ,50,50,48,48,49,50,48,48,48,49,57,57,57,49,57,57,56,49,57,57,55,49,57,57,54,49, 57,57,53,49,57,57,52,49,57,57,51,49,57,57,50,49,57,57,49,49,57,57,48,49,57,56,57 ,49,57,56,56,49,57,56,55,49,57,56,54,49,57,56,53,49,57,56,52,49,57,56,51,49,57, 56,50,49,57,56,49,49,57,56,48,49,57,55,57,49,57,55,56,49,57,55,55,49,57,55,54,49 ,57,55,53,49,57,55,52,49,57,55,51,49,57,55,50,49,57,55,49,49,57,55,48,49,57,54, 57,49,57,54,56,49,57,54,55,49,57,54,54,49,57,54,53,49,57,54,52,49,57,54,51,49,57 ,54,50,49,57,54,49,49,57,54,48,49,57,53,57,49,57,53,56,49,57,53,55,49,57,53,54, 49,57,53,53,49,57,53,52,49,57,53,51,49,57,53,50,49,57,53,49,49,57,53,48,49,48,48 ,48,49,48,50,52,49,51,57,52,48,48,48,48,57,57,57,57,99,111,109,111,109,195,161, 115,101,115,116,101,101,115,116,97,112,101,114,111,116,111,100,111,104,97,99,101 ,99,97,100,97,97,195,177,111,98,105,101,110,100,195,173,97,97,115,195,173,118, 105,100,97,99,97,115,111,111,116,114,111,102,111,114,111,115,111,108,111,111,116 ,114,97,99,117,97,108,100,105,106,111,115,105,100,111,103,114,97,110,116,105,112 ,111,116,101,109,97,100,101,98,101,97,108,103,111,113,117,195,169,101,115,116, 111,110,97,100,97,116,114,101,115,112,111,99,111,99,97,115,97,98,97,106,111,116, 111,100,97,115,105,110,111,97,103,117,97,112,117,101,115,117,110,111,115,97,110, 116,101,100,105,99,101,108,117,105,115,101,108,108,97,109,97,121,111,122,111,110 ,97,97,109,111,114,112,105,115,111,111,98,114,97,99,108,105,99,101,108,108,111, 100,105,111,115,104,111,114,97,99,97,115,105,208,183,208,176,208,189,208,176,208 ,190,208,188,209,128,208,176,209,128,209,131,209,130,208,176,208,189,208,181,208 ,191,208,190,208,190,209,130,208,184,208,183,208,189,208,190,208,180,208,190,209 ,130,208,190,208,182,208,181,208,190,208,189,208,184,209,133,208,157,208,176,208 ,181,208,181,208,177,209,139,208,188,209,139,208,146,209,139,209,129,208,190,208 ,178,209,139,208,178,208,190,208,157,208,190,208,190,208,177,208,159,208,190,208 ,187,208,184,208,189,208,184,208,160,208,164,208,157,208,181,208,156,209,139,209 ,130,209,139,208,158,208,189,208,184,208,188,208,180,208,176,208,151,208,176,208 ,148,208,176,208,157,209,131,208,158,208,177,209,130,208,181,208,152,208,183,208 ,181,208,185,208,189,209,131,208,188,208,188,208,162,209,139,209,131,208,182,217 ,129,217,138,216,163,217,134,217,133,216,167,217,133,216,185,217,131,217,132,216 ,163,217,136,216,177,216,175,217,138,216,167,217,129,217,137,217,135,217,136,217 ,132,217,133,217,132,217,131,216,167,217,136,217,132,217,135,216,168,216,179,216 ,167,217,132,216,165,217,134,217,135,217,138,216,163,217,138,217,130,216,175,217 ,135,217,132,216,171,217,133,216,168,217,135,217,132,217,136,217,132,217,138,216 ,168,217,132,216,167,217,138,216,168,217,131,216,180,217,138,216,167,217,133,216 ,163,217,133,217,134,216,170,216,168,217,138,217,132,217,134,216,173,216,168,217 ,135,217,133,217,133,216,180,217,136,216,180,102,105,114,115,116,118,105,100,101 ,111,108,105,103,104,116,119,111,114,108,100,109,101,100,105,97,119,104,105,116, 101,99,108,111,115,101,98,108,97,99,107,114,105,103,104,116,115,109,97,108,108, 98,111,111,107,115,112,108,97,99,101,109,117,115,105,99,102,105,101,108,100,111, 114,100,101,114,112,111,105,110,116,118,97,108,117,101,108,101,118,101,108,116, 97,98,108,101,98,111,97,114,100,104,111,117,115,101,103,114,111,117,112,119,111, 114,107,115,121,101,97,114,115,115,116,97,116,101,116,111,100,97,121,119,97,116, 101,114,115,116,97,114,116,115,116,121,108,101,100,101,97,116,104,112,111,119, 101,114,112,104,111,110,101,110,105,103,104,116,101,114,114,111,114,105,110,112, 117,116,97,98,111,117,116,116,101,114,109,115,116,105,116,108,101,116,111,111, 108,115,101,118,101,110,116,108,111,99,97,108,116,105,109,101,115,108,97,114,103 ,101,119,111,114,100,115,103,97,109,101,115,115,104,111,114,116,115,112,97,99, 101,102,111,99,117,115,99,108,101,97,114,109,111,100,101,108,98,108,111,99,107, 103,117,105,100,101,114,97,100,105,111,115,104,97,114,101,119,111,109,101,110,97 ,103,97,105,110,109,111,110,101,121,105,109,97,103,101,110,97,109,101,115,121, 111,117,110,103,108,105,110,101,115,108,97,116,101,114,99,111,108,111,114,103, 114,101,101,110,102,114,111,110,116,38,97,109,112,59,119,97,116,99,104,102,111, 114,99,101,112,114,105,99,101,114,117,108,101,115,98,101,103,105,110,97,102,116, 101,114,118,105,115,105,116,105,115,115,117,101,97,114,101,97,115,98,101,108,111 ,119,105,110,100,101,120,116,111,116,97,108,104,111,117,114,115,108,97,98,101, 108,112,114,105,110,116,112,114,101,115,115,98,117,105,108,116,108,105,110,107, 115,115,112,101,101,100,115,116,117,100,121,116,114,97,100,101,102,111,117,110, 100,115,101,110,115,101,117,110,100,101,114,115,104,111,119,110,102,111,114,109, 115,114,97,110,103,101,97,100,100,101,100,115,116,105,108,108,109,111,118,101, 100,116,97,107,101,110,97,98,111,118,101,102,108,97,115,104,102,105,120,101,100, 111,102,116,101,110,111,116,104,101,114,118,105,101,119,115,99,104,101,99,107, 108,101,103,97,108,114,105,118,101,114,105,116,101,109,115,113,117,105,99,107, 115,104,97,112,101,104,117,109,97,110,101,120,105,115,116,103,111,105,110,103, 109,111,118,105,101,116,104,105,114,100,98,97,115,105,99,112,101,97,99,101,115, 116,97,103,101,119,105,100,116,104,108,111,103,105,110,105,100,101,97,115,119, 114,111,116,101,112,97,103,101,115,117,115,101,114,115,100,114,105,118,101,115, 116,111,114,101,98,114,101,97,107,115,111,117,116,104,118,111,105,99,101,115,105 ,116,101,115,109,111,110,116,104,119,104,101,114,101,98,117,105,108,100,119,104, 105,99,104,101,97,114,116,104,102,111,114,117,109,116,104,114,101,101,115,112, 111,114,116,112,97,114,116,121,67,108,105,99,107,108,111,119,101,114,108,105,118 ,101,115,99,108,97,115,115,108,97,121,101,114,101,110,116,114,121,115,116,111, 114,121,117,115,97,103,101,115,111,117,110,100,99,111,117,114,116,121,111,117, 114,32,98,105,114,116,104,112,111,112,117,112,116,121,112,101,115,97,112,112,108 ,121,73,109,97,103,101,98,101,105,110,103,117,112,112,101,114,110,111,116,101, 115,101,118,101,114,121,115,104,111,119,115,109,101,97,110,115,101,120,116,114, 97,109,97,116,99,104,116,114,97,99,107,107,110,111,119,110,101,97,114,108,121,98 ,101,103,97,110,115,117,112,101,114,112,97,112,101,114,110,111,114,116,104,108, 101,97,114,110,103,105,118,101,110,110,97,109,101,100,101,110,100,101,100,84,101 ,114,109,115,112,97,114,116,115,71,114,111,117,112,98,114,97,110,100,117,115,105 ,110,103,119,111,109,97,110,102,97,108,115,101,114,101,97,100,121,97,117,100,105 ,111,116,97,107,101,115,119,104,105,108,101,46,99,111,109,47,108,105,118,101,100 ,99,97,115,101,115,100,97,105,108,121,99,104,105,108,100,103,114,101,97,116,106, 117,100,103,101,116,104,111,115,101,117,110,105,116,115,110,101,118,101,114,98, 114,111,97,100,99,111,97,115,116,99,111,118,101,114,97,112,112,108,101,102,105, 108,101,115,99,121,99,108,101,115,99,101,110,101,112,108,97,110,115,99,108,105, 99,107,119,114,105,116,101,113,117,101,101,110,112,105,101,99,101,101,109,97,105 ,108,102,114,97,109,101,111,108,100,101,114,112,104,111,116,111,108,105,109,105, 116,99,97,99,104,101,99,105,118,105,108,115,99,97,108,101,101,110,116,101,114, 116,104,101,109,101,116,104,101,114,101,116,111,117,99,104,98,111,117,110,100, 114,111,121,97,108,97,115,107,101,100,119,104,111,108,101,115,105,110,99,101,115 ,116,111,99,107,32,110,97,109,101,102,97,105,116,104,104,101,97,114,116,101,109, 112,116,121,111,102,102,101,114,115,99,111,112,101,111,119,110,101,100,109,105, 103,104,116,97,108,98,117,109,116,104,105,110,107,98,108,111,111,100,97,114,114, 97,121,109,97,106,111,114,116,114,117,115,116,99,97,110,111,110,117,110,105,111, 110,99,111,117,110,116,118,97,108,105,100,115,116,111,110,101,83,116,121,108,101 ,76,111,103,105,110,104,97,112,112,121,111,99,99,117,114,108,101,102,116,58,102, 114,101,115,104,113,117,105,116,101,102,105,108,109,115,103,114,97,100,101,110, 101,101,100,115,117,114,98,97,110,102,105,103,104,116,98,97,115,105,115,104,111, 118,101,114,97,117,116,111,59,114,111,117,116,101,46,104,116,109,108,109,105,120 ,101,100,102,105,110,97,108,89,111,117,114,32,115,108,105,100,101,116,111,112, 105,99,98,114,111,119,110,97,108,111,110,101,100,114,97,119,110,115,112,108,105, 116,114,101,97,99,104,82,105,103,104,116,100,97,116,101,115,109,97,114,99,104, 113,117,111,116,101,103,111,111,100,115,76,105,110,107,115,100,111,117,98,116,97 ,115,121,110,99,116,104,117,109,98,97,108,108,111,119,99,104,105,101,102,121,111 ,117,116,104,110,111,118,101,108,49,48,112,120,59,115,101,114,118,101,117,110, 116,105,108,104,97,110,100,115,67,104,101,99,107,83,112,97,99,101,113,117,101, 114,121,106,97,109,101,115,101,113,117,97,108,116,119,105,99,101,48,44,48,48,48, 83,116,97,114,116,112,97,110,101,108,115,111,110,103,115,114,111,117,110,100,101 ,105,103,104,116,115,104,105,102,116,119,111,114,116,104,112,111,115,116,115,108 ,101,97,100,115,119,101,101,107,115,97,118,111,105,100,116,104,101,115,101,109, 105,108,101,115,112,108,97,110,101,115,109,97,114,116,97,108,112,104,97,112,108, 97,110,116,109,97,114,107,115,114,97,116,101,115,112,108,97,121,115,99,108,97, 105,109,115,97,108,101,115,116,101,120,116,115,115,116,97,114,115,119,114,111, 110,103,60,47,104,51,62,116,104,105,110,103,46,111,114,103,47,109,117,108,116, 105,104,101,97,114,100,80,111,119,101,114,115,116,97,110,100,116,111,107,101,110 ,115,111,108,105,100,40,116,104,105,115,98,114,105,110,103,115,104,105,112,115, 115,116,97,102,102,116,114,105,101,100,99,97,108,108,115,102,117,108,108,121,102 ,97,99,116,115,97,103,101,110,116,84,104,105,115,32,47,47,45,45,62,97,100,109, 105,110,101,103,121,112,116,69,118,101,110,116,49,53,112,120,59,69,109,97,105, 108,116,114,117,101,34,99,114,111,115,115,115,112,101,110,116,98,108,111,103,115 ,98,111,120,34,62,110,111,116,101,100,108,101,97,118,101,99,104,105,110,97,115, 105,122,101,115,103,117,101,115,116,60,47,104,52,62,114,111,98,111,116,104,101, 97,118,121,116,114,117,101,44,115,101,118,101,110,103,114,97,110,100,99,114,105, 109,101,115,105,103,110,115,97,119,97,114,101,100,97,110,99,101,112,104,97,115, 101,62,60,33,45,45,101,110,95,85,83,38,35,51,57,59,50,48,48,112,120,95,110,97, 109,101,108,97,116,105,110,101,110,106,111,121,97,106,97,120,46,97,116,105,111, 110,115,109,105,116,104,85,46,83,46,32,104,111,108,100,115,112,101,116,101,114, 105,110,100,105,97,110,97,118,34,62,99,104,97,105,110,115,99,111,114,101,99,111, 109,101,115,100,111,105,110,103,112,114,105,111,114,83,104,97,114,101,49,57,57, 48,115,114,111,109,97,110,108,105,115,116,115,106,97,112,97,110,102,97,108,108, 115,116,114,105,97,108,111,119,110,101,114,97,103,114,101,101,60,47,104,50,62,97 ,98,117,115,101,97,108,101,114,116,111,112,101,114,97,34,45,47,47,87,99,97,114, 100,115,104,105,108,108,115,116,101,97,109,115,80,104,111,116,111,116,114,117, 116,104,99,108,101,97,110,46,112,104,112,63,115,97,105,110,116,109,101,116,97, 108,108,111,117,105,115,109,101,97,110,116,112,114,111,111,102,98,114,105,101, 102,114,111,119,34,62,103,101,110,114,101,116,114,117,99,107,108,111,111,107,115 ,86,97,108,117,101,70,114,97,109,101,46,110,101,116,47,45,45,62,10,60,116,114, 121,32,123,10,118,97,114,32,109,97,107,101,115,99,111,115,116,115,112,108,97,105 ,110,97,100,117,108,116,113,117,101,115,116,116,114,97,105,110,108,97,98,111,114 ,104,101,108,112,115,99,97,117,115,101,109,97,103,105,99,109,111,116,111,114,116 ,104,101,105,114,50,53,48,112,120,108,101,97,115,116,115,116,101,112,115,67,111, 117,110,116,99,111,117,108,100,103,108,97,115,115,115,105,100,101,115,102,117, 110,100,115,104,111,116,101,108,97,119,97,114,100,109,111,117,116,104,109,111, 118,101,115,112,97,114,105,115,103,105,118,101,115,100,117,116,99,104,116,101, 120,97,115,102,114,117,105,116,110,117,108,108,44,124,124,91,93,59,116,111,112, 34,62,10,60,33,45,45,80,79,83,84,34,111,99,101,97,110,60,98,114,47,62,102,108, 111,111,114,115,112,101,97,107,100,101,112,116,104,32,115,105,122,101,98,97,110, 107,115,99,97,116,99,104,99,104,97,114,116,50,48,112,120,59,97,108,105,103,110, 100,101,97,108,115,119,111,117,108,100,53,48,112,120,59,117,114,108,61,34,112,97 ,114,107,115,109,111,117,115,101,77,111,115,116,32,46,46,46,60,47,97,109,111,110 ,103,98,114,97,105,110,98,111,100,121,32,110,111,110,101,59,98,97,115,101,100,99 ,97,114,114,121,100,114,97,102,116,114,101,102,101,114,112,97,103,101,95,104,111 ,109,101,46,109,101,116,101,114,100,101,108,97,121,100,114,101,97,109,112,114, 111,118,101,106,111,105,110,116,60,47,116,114,62,100,114,117,103,115,60,33,45,45 ,32,97,112,114,105,108,105,100,101,97,108,97,108,108,101,110,101,120,97,99,116, 102,111,114,116,104,99,111,100,101,115,108,111,103,105,99,86,105,101,119,32,115, 101,101,109,115,98,108,97,110,107,112,111,114,116,115,32,40,50,48,48,115,97,118, 101,100,95,108,105,110,107,103,111,97,108,115,103,114,97,110,116,103,114,101,101 ,107,104,111,109,101,115,114,105,110,103,115,114,97,116,101,100,51,48,112,120,59 ,119,104,111,115,101,112,97,114,115,101,40,41,59,34,32,66,108,111,99,107,108,105 ,110,117,120,106,111,110,101,115,112,105,120,101,108,39,41,59,34,62,41,59,105, 102,40,45,108,101,102,116,100,97,118,105,100,104,111,114,115,101,70,111,99,117, 115,114,97,105,115,101,98,111,120,101,115,84,114,97,99,107,101,109,101,110,116, 60,47,101,109,62,98,97,114,34,62,46,115,114,99,61,116,111,119,101,114,97,108,116 ,61,34,99,97,98,108,101,104,101,110,114,121,50,52,112,120,59,115,101,116,117,112 ,105,116,97,108,121,115,104,97,114,112,109,105,110,111,114,116,97,115,116,101, 119,97,110,116,115,116,104,105,115,46,114,101,115,101,116,119,104,101,101,108, 103,105,114,108,115,47,99,115,115,47,49,48,48,37,59,99,108,117,98,115,115,116, 117,102,102,98,105,98,108,101,118,111,116,101,115,32,49,48,48,48,107,111,114,101 ,97,125,41,59,13,10,98,97,110,100,115,113,117,101,117,101,61,32,123,125,59,56,48 ,112,120,59,99,107,105,110,103,123,13,10,9,9,97,104,101,97,100,99,108,111,99,107 ,105,114,105,115,104,108,105,107,101,32,114,97,116,105,111,115,116,97,116,115,70 ,111,114,109,34,121,97,104,111,111,41,91,48,93,59,65,98,111,117,116,102,105,110, 100,115,60,47,104,49,62,100,101,98,117,103,116,97,115,107,115,85,82,76,32,61,99, 101,108,108,115,125,41,40,41,59,49,50,112,120,59,112,114,105,109,101,116,101,108 ,108,115,116,117,114,110,115,48,120,54,48,48,46,106,112,103,34,115,112,97,105, 110,98,101,97,99,104,116,97,120,101,115,109,105,99,114,111,97,110,103,101,108,45 ,45,62,60,47,103,105,102,116,115,115,116,101,118,101,45,108,105,110,107,98,111, 100,121,46,125,41,59,10,9,109,111,117,110,116,32,40,49,57,57,70,65,81,60,47,114, 111,103,101,114,102,114,97,110,107,67,108,97,115,115,50,56,112,120,59,102,101, 101,100,115,60,104,49,62,60,115,99,111,116,116,116,101,115,116,115,50,50,112,120 ,59,100,114,105,110,107,41,32,124,124,32,108,101,119,105,115,115,104,97,108,108, 35,48,51,57,59,32,102,111,114,32,108,111,118,101,100,119,97,115,116,101,48,48, 112,120,59,106,97,58,227,130,115,105,109,111,110,60,102,111,110,116,114,101,112, 108,121,109,101,101,116,115,117,110,116,101,114,99,104,101,97,112,116,105,103, 104,116,66,114,97,110,100,41,32,33,61,32,100,114,101,115,115,99,108,105,112,115, 114,111,111,109,115,111,110,107,101,121,109,111,98,105,108,109,97,105,110,46,78, 97,109,101,32,112,108,97,116,101,102,117,110,110,121,116,114,101,101,115,99,111, 109,47,34,49,46,106,112,103,119,109,111,100,101,112,97,114,97,109,83,84,65,82,84 ,108,101,102,116,32,105,100,100,101,110,44,32,50,48,49,41,59,10,125,10,102,111, 114,109,46,118,105,114,117,115,99,104,97,105,114,116,114,97,110,115,119,111,114, 115,116,80,97,103,101,115,105,116,105,111,110,112,97,116,99,104,60,33,45,45,10, 111,45,99,97,99,102,105,114,109,115,116,111,117,114,115,44,48,48,48,32,97,115, 105,97,110,105,43,43,41,123,97,100,111,98,101,39,41,91,48,93,105,100,61,49,48,98 ,111,116,104,59,109,101,110,117,32,46,50,46,109,105,46,112,110,103,34,107,101, 118,105,110,99,111,97,99,104,67,104,105,108,100,98,114,117,99,101,50,46,106,112, 103,85,82,76,41,43,46,106,112,103,124,115,117,105,116,101,115,108,105,99,101,104 ,97,114,114,121,49,50,48,34,32,115,119,101,101,116,116,114,62,13,10,110,97,109, 101,61,100,105,101,103,111,112,97,103,101,32,115,119,105,115,115,45,45,62,10,10, 35,102,102,102,59,34,62,76,111,103,46,99,111,109,34,116,114,101,97,116,115,104, 101,101,116,41,32,38,38,32,49,52,112,120,59,115,108,101,101,112,110,116,101,110, 116,102,105,108,101,100,106,97,58,227,131,105,100,61,34,99,78,97,109,101,34,119, 111,114,115,101,115,104,111,116,115,45,98,111,120,45,100,101,108,116,97,10,38, 108,116,59,98,101,97,114,115,58,52,56,90,60,100,97,116,97,45,114,117,114,97,108, 60,47,97,62,32,115,112,101,110,100,98,97,107,101,114,115,104,111,112,115,61,32, 34,34,59,112,104,112,34,62,99,116,105,111,110,49,51,112,120,59,98,114,105,97,110 ,104,101,108,108,111,115,105,122,101,61,111,61,37,50,70,32,106,111,105,110,109, 97,121,98,101,60,105,109,103,32,105,109,103,34,62,44,32,102,106,115,105,109,103, 34,32,34,41,91,48,93,77,84,111,112,66,84,121,112,101,34,110,101,119,108,121,68, 97,110,115,107,99,122,101,99,104,116,114,97,105,108,107,110,111,119,115,60,47, 104,53,62,102,97,113,34,62,122,104,45,99,110,49,48,41,59,10,45,49,34,41,59,116, 121,112,101,61,98,108,117,101,115,116,114,117,108,121,100,97,118,105,115,46,106, 115,39,59,62,13,10,60,33,115,116,101,101,108,32,121,111,117,32,104,50,62,13,10, 102,111,114,109,32,106,101,115,117,115,49,48,48,37,32,109,101,110,117,46,13,10,9 ,13,10,119,97,108,101,115,114,105,115,107,115,117,109,101,110,116,100,100,105, 110,103,98,45,108,105,107,116,101,97,99,104,103,105,102,34,32,118,101,103,97,115 ,100,97,110,115,107,101,101,115,116,105,115,104,113,105,112,115,117,111,109,105, 115,111,98,114,101,100,101,115,100,101,101,110,116,114,101,116,111,100,111,115, 112,117,101,100,101,97,195,177,111,115,101,115,116,195,161,116,105,101,110,101, 104,97,115,116,97,111,116,114,111,115,112,97,114,116,101,100,111,110,100,101,110 ,117,101,118,111,104,97,99,101,114,102,111,114,109,97,109,105,115,109,111,109, 101,106,111,114,109,117,110,100,111,97,113,117,195,173,100,195,173,97,115,115, 195,179,108,111,97,121,117,100,97,102,101,99,104,97,116,111,100,97,115,116,97, 110,116,111,109,101,110,111,115,100,97,116,111,115,111,116,114,97,115,115,105, 116,105,111,109,117,99,104,111,97,104,111,114,97,108,117,103,97,114,109,97,121, 111,114,101,115,116,111,115,104,111,114,97,115,116,101,110,101,114,97,110,116, 101,115,102,111,116,111,115,101,115,116,97,115,112,97,195,173,115,110,117,101, 118,97,115,97,108,117,100,102,111,114,111,115,109,101,100,105,111,113,117,105, 101,110,109,101,115,101,115,112,111,100,101,114,99,104,105,108,101,115,101,114, 195,161,118,101,99,101,115,100,101,99,105,114,106,111,115,195,169,101,115,116,97 ,114,118,101,110,116,97,103,114,117,112,111,104,101,99,104,111,101,108,108,111, 115,116,101,110,103,111,97,109,105,103,111,99,111,115,97,115,110,105,118,101,108 ,103,101,110,116,101,109,105,115,109,97,97,105,114,101,115,106,117,108,105,111, 116,101,109,97,115,104,97,99,105,97,102,97,118,111,114,106,117,110,105,111,108, 105,98,114,101,112,117,110,116,111,98,117,101,110,111,97,117,116,111,114,97,98, 114,105,108,98,117,101,110,97,116,101,120,116,111,109,97,114,122,111,115,97,98, 101,114,108,105,115,116,97,108,117,101,103,111,99,195,179,109,111,101,110,101, 114,111,106,117,101,103,111,112,101,114,195,186,104,97,98,101,114,101,115,116, 111,121,110,117,110,99,97,109,117,106,101,114,118,97,108,111,114,102,117,101,114 ,97,108,105,98,114,111,103,117,115,116,97,105,103,117,97,108,118,111,116,111,115 ,99,97,115,111,115,103,117,195,173,97,112,117,101,100,111,115,111,109,111,115,97 ,118,105,115,111,117,115,116,101,100,100,101,98,101,110,110,111,99,104,101,98, 117,115,99,97,102,97,108,116,97,101,117,114,111,115,115,101,114,105,101,100,105, 99,104,111,99,117,114,115,111,99,108,97,118,101,99,97,115,97,115,108,101,195,179 ,110,112,108,97,122,111,108,97,114,103,111,111,98,114,97,115,118,105,115,116,97, 97,112,111,121,111,106,117,110,116,111,116,114,97,116,97,118,105,115,116,111,99, 114,101,97,114,99,97,109,112,111,104,101,109,111,115,99,105,110,99,111,99,97,114 ,103,111,112,105,115,111,115,111,114,100,101,110,104,97,99,101,110,195,161,114, 101,97,100,105,115,99,111,112,101,100,114,111,99,101,114,99,97,112,117,101,100, 97,112,97,112,101,108,109,101,110,111,114,195,186,116,105,108,99,108,97,114,111, 106,111,114,103,101,99,97,108,108,101,112,111,110,101,114,116,97,114,100,101,110 ,97,100,105,101,109,97,114,99,97,115,105,103,117,101,101,108,108,97,115,115,105, 103,108,111,99,111,99,104,101,109,111,116,111,115,109,97,100,114,101,99,108,97, 115,101,114,101,115,116,111,110,105,195,177,111,113,117,101,100,97,112,97,115,97 ,114,98,97,110,99,111,104,105,106,111,115,118,105,97,106,101,112,97,98,108,111, 195,169,115,116,101,118,105,101,110,101,114,101,105,110,111,100,101,106,97,114, 102,111,110,100,111,99,97,110,97,108,110,111,114,116,101,108,101,116,114,97,99, 97,117,115,97,116,111,109,97,114,109,97,110,111,115,108,117,110,101,115,97,117, 116,111,115,118,105,108,108,97,118,101,110,100,111,112,101,115,97,114,116,105, 112,111,115,116,101,110,103,97,109,97,114,99,111,108,108,101,118,97,112,97,100, 114,101,117,110,105,100,111,118,97,109,111,115,122,111,110,97,115,97,109,98,111, 115,98,97,110,100,97,109,97,114,105,97,97,98,117,115,111,109,117,99,104,97,115, 117,98,105,114,114,105,111,106,97,118,105,118,105,114,103,114,97,100,111,99,104, 105,99,97,97,108,108,195,173,106,111,118,101,110,100,105,99,104,97,101,115,116, 97,110,116,97,108,101,115,115,97,108,105,114,115,117,101,108,111,112,101,115,111 ,115,102,105,110,101,115,108,108,97,109,97,98,117,115,99,111,195,169,115,116,97, 108,108,101,103,97,110,101,103,114,111,112,108,97,122,97,104,117,109,111,114,112 ,97,103,97,114,106,117,110,116,97,100,111,98,108,101,105,115,108,97,115,98,111, 108,115,97,98,97,195,177,111,104,97,98,108,97,108,117,99,104,97,195,129,114,101, 97,100,105,99,101,110,106,117,103,97,114,110,111,116,97,115,118,97,108,108,101, 97,108,108,195,161,99,97,114,103,97,100,111,108,111,114,97,98,97,106,111,101,115 ,116,195,169,103,117,115,116,111,109,101,110,116,101,109,97,114,105,111,102,105, 114,109,97,99,111,115,116,111,102,105,99,104,97,112,108,97,116,97,104,111,103,97 ,114,97,114,116,101,115,108,101,121,101,115,97,113,117,101,108,109,117,115,101, 111,98,97,115,101,115,112,111,99,111,115,109,105,116,97,100,99,105,101,108,111, 99,104,105,99,111,109,105,101,100,111,103,97,110,97,114,115,97,110,116,111,101, 116,97,112,97,100,101,98,101,115,112,108,97,121,97,114,101,100,101,115,115,105, 101,116,101,99,111,114,116,101,99,111,114,101,97,100,117,100,97,115,100,101,115, 101,111,118,105,101,106,111,100,101,115,101,97,97,103,117,97,115,38,113,117,111, 116,59,100,111,109,97,105,110,99,111,109,109,111,110,115,116,97,116,117,115,101, 118,101,110,116,115,109,97,115,116,101,114,115,121,115,116,101,109,97,99,116,105 ,111,110,98,97,110,110,101,114,114,101,109,111,118,101,115,99,114,111,108,108, 117,112,100,97,116,101,103,108,111,98,97,108,109,101,100,105,117,109,102,105,108 ,116,101,114,110,117,109,98,101,114,99,104,97,110,103,101,114,101,115,117,108, 116,112,117,98,108,105,99,115,99,114,101,101,110,99,104,111,111,115,101,110,111, 114,109,97,108,116,114,97,118,101,108,105,115,115,117,101,115,115,111,117,114,99 ,101,116,97,114,103,101,116,115,112,114,105,110,103,109,111,100,117,108,101,109, 111,98,105,108,101,115,119,105,116,99,104,112,104,111,116,111,115,98,111,114,100 ,101,114,114,101,103,105,111,110,105,116,115,101,108,102,115,111,99,105,97,108, 97,99,116,105,118,101,99,111,108,117,109,110,114,101,99,111,114,100,102,111,108, 108,111,119,116,105,116,108,101,62,101,105,116,104,101,114,108,101,110,103,116, 104,102,97,109,105,108,121,102,114,105,101,110,100,108,97,121,111,117,116,97,117 ,116,104,111,114,99,114,101,97,116,101,114,101,118,105,101,119,115,117,109,109, 101,114,115,101,114,118,101,114,112,108,97,121,101,100,112,108,97,121,101,114, 101,120,112,97,110,100,112,111,108,105,99,121,102,111,114,109,97,116,100,111,117 ,98,108,101,112,111,105,110,116,115,115,101,114,105,101,115,112,101,114,115,111, 110,108,105,118,105,110,103,100,101,115,105,103,110,109,111,110,116,104,115,102, 111,114,99,101,115,117,110,105,113,117,101,119,101,105,103,104,116,112,101,111, 112,108,101,101,110,101,114,103,121,110,97,116,117,114,101,115,101,97,114,99,104 ,102,105,103,117,114,101,104,97,118,105,110,103,99,117,115,116,111,109,111,102, 102,115,101,116,108,101,116,116,101,114,119,105,110,100,111,119,115,117,98,109, 105,116,114,101,110,100,101,114,103,114,111,117,112,115,117,112,108,111,97,100, 104,101,97,108,116,104,109,101,116,104,111,100,118,105,100,101,111,115,115,99, 104,111,111,108,102,117,116,117,114,101,115,104,97,100,111,119,100,101,98,97,116 ,101,118,97,108,117,101,115,79,98,106,101,99,116,111,116,104,101,114,115,114,105 ,103,104,116,115,108,101,97,103,117,101,99,104,114,111,109,101,115,105,109,112, 108,101,110,111,116,105,99,101,115,104,97,114,101,100,101,110,100,105,110,103, 115,101,97,115,111,110,114,101,112,111,114,116,111,110,108,105,110,101,115,113, 117,97,114,101,98,117,116,116,111,110,105,109,97,103,101,115,101,110,97,98,108, 101,109,111,118,105,110,103,108,97,116,101,115,116,119,105,110,116,101,114,70, 114,97,110,99,101,112,101,114,105,111,100,115,116,114,111,110,103,114,101,112, 101,97,116,76,111,110,100,111,110,100,101,116,97,105,108,102,111,114,109,101,100 ,100,101,109,97,110,100,115,101,99,117,114,101,112,97,115,115,101,100,116,111, 103,103,108,101,112,108,97,99,101,115,100,101,118,105,99,101,115,116,97,116,105, 99,99,105,116,105,101,115,115,116,114,101,97,109,121,101,108,108,111,119,97,116, 116,97,99,107,115,116,114,101,101,116,102,108,105,103,104,116,104,105,100,100, 101,110,105,110,102,111,34,62,111,112,101,110,101,100,117,115,101,102,117,108, 118,97,108,108,101,121,99,97,117,115,101,115,108,101,97,100,101,114,115,101,99, 114,101,116,115,101,99,111,110,100,100,97,109,97,103,101,115,112,111,114,116,115 ,101,120,99,101,112,116,114,97,116,105,110,103,115,105,103,110,101,100,116,104, 105,110,103,115,101,102,102,101,99,116,102,105,101,108,100,115,115,116,97,116, 101,115,111,102,102,105,99,101,118,105,115,117,97,108,101,100,105,116,111,114, 118,111,108,117,109,101,82,101,112,111,114,116,109,117,115,101,117,109,109,111, 118,105,101,115,112,97,114,101,110,116,97,99,99,101,115,115,109,111,115,116,108, 121,109,111,116,104,101,114,34,32,105,100,61,34,109,97,114,107,101,116,103,114, 111,117,110,100,99,104,97,110,99,101,115,117,114,118,101,121,98,101,102,111,114, 101,115,121,109,98,111,108,109,111,109,101,110,116,115,112,101,101,99,104,109, 111,116,105,111,110,105,110,115,105,100,101,109,97,116,116,101,114,67,101,110, 116,101,114,111,98,106,101,99,116,101,120,105,115,116,115,109,105,100,100,108, 101,69,117,114,111,112,101,103,114,111,119,116,104,108,101,103,97,99,121,109,97, 110,110,101,114,101,110,111,117,103,104,99,97,114,101,101,114,97,110,115,119,101 ,114,111,114,105,103,105,110,112,111,114,116,97,108,99,108,105,101,110,116,115, 101,108,101,99,116,114,97,110,100,111,109,99,108,111,115,101,100,116,111,112,105 ,99,115,99,111,109,105,110,103,102,97,116,104,101,114,111,112,116,105,111,110, 115,105,109,112,108,121,114,97,105,115,101,100,101,115,99,97,112,101,99,104,111, 115,101,110,99,104,117,114,99,104,100,101,102,105,110,101,114,101,97,115,111,110 ,99,111,114,110,101,114,111,117,116,112,117,116,109,101,109,111,114,121,105,102, 114,97,109,101,112,111,108,105,99,101,109,111,100,101,108,115,78,117,109,98,101, 114,100,117,114,105,110,103,111,102,102,101,114,115,115,116,121,108,101,115,107, 105,108,108,101,100,108,105,115,116,101,100,99,97,108,108,101,100,115,105,108, 118,101,114,109,97,114,103,105,110,100,101,108,101,116,101,98,101,116,116,101, 114,98,114,111,119,115,101,108,105,109,105,116,115,71,108,111,98,97,108,115,105, 110,103,108,101,119,105,100,103,101,116,99,101,110,116,101,114,98,117,100,103, 101,116,110,111,119,114,97,112,99,114,101,100,105,116,99,108,97,105,109,115,101, 110,103,105,110,101,115,97,102,101,116,121,99,104,111,105,99,101,115,112,105,114 ,105,116,45,115,116,121,108,101,115,112,114,101,97,100,109,97,107,105,110,103, 110,101,101,100,101,100,114,117,115,115,105,97,112,108,101,97,115,101,101,120, 116,101,110,116,83,99,114,105,112,116,98,114,111,107,101,110,97,108,108,111,119, 115,99,104,97,114,103,101,100,105,118,105,100,101,102,97,99,116,111,114,109,101, 109,98,101,114,45,98,97,115,101,100,116,104,101,111,114,121,99,111,110,102,105, 103,97,114,111,117,110,100,119,111,114,107,101,100,104,101,108,112,101,100,67, 104,117,114,99,104,105,109,112,97,99,116,115,104,111,117,108,100,97,108,119,97, 121,115,108,111,103,111,34,32,98,111,116,116,111,109,108,105,115,116,34,62,41, 123,118,97,114,32,112,114,101,102,105,120,111,114,97,110,103,101,72,101,97,100, 101,114,46,112,117,115,104,40,99,111,117,112,108,101,103,97,114,100,101,110,98, 114,105,100,103,101,108,97,117,110,99,104,82,101,118,105,101,119,116,97,107,105, 110,103,118,105,115,105,111,110,108,105,116,116,108,101,100,97,116,105,110,103, 66,117,116,116,111,110,98,101,97,117,116,121,116,104,101,109,101,115,102,111,114 ,103,111,116,83,101,97,114,99,104,97,110,99,104,111,114,97,108,109,111,115,116, 108,111,97,100,101,100,67,104,97,110,103,101,114,101,116,117,114,110,115,116,114 ,105,110,103,114,101,108,111,97,100,77,111,98,105,108,101,105,110,99,111,109,101 ,115,117,112,112,108,121,83,111,117,114,99,101,111,114,100,101,114,115,118,105, 101,119,101,100,38,110,98,115,112,59,99,111,117,114,115,101,65,98,111,117,116,32 ,105,115,108,97,110,100,60,104,116,109,108,32,99,111,111,107,105,101,110,97,109, 101,61,34,97,109,97,122,111,110,109,111,100,101,114,110,97,100,118,105,99,101, 105,110,60,47,97,62,58,32,84,104,101,32,100,105,97,108,111,103,104,111,117,115, 101,115,66,69,71,73,78,32,77,101,120,105,99,111,115,116,97,114,116,115,99,101, 110,116,114,101,104,101,105,103,104,116,97,100,100,105,110,103,73,115,108,97,110 ,100,97,115,115,101,116,115,69,109,112,105,114,101,83,99,104,111,111,108,101,102 ,102,111,114,116,100,105,114,101,99,116,110,101,97,114,108,121,109,97,110,117,97 ,108,83,101,108,101,99,116,46,10,10,79,110,101,106,111,105,110,101,100,109,101, 110,117,34,62,80,104,105,108,105,112,97,119,97,114,100,115,104,97,110,100,108, 101,105,109,112,111,114,116,79,102,102,105,99,101,114,101,103,97,114,100,115,107 ,105,108,108,115,110,97,116,105,111,110,83,112,111,114,116,115,100,101,103,114, 101,101,119,101,101,107,108,121,32,40,101,46,103,46,98,101,104,105,110,100,100, 111,99,116,111,114,108,111,103,103,101,100,117,110,105,116,101,100,60,47,98,62, 60,47,98,101,103,105,110,115,112,108,97,110,116,115,97,115,115,105,115,116,97, 114,116,105,115,116,105,115,115,117,101,100,51,48,48,112,120,124,99,97,110,97, 100,97,97,103,101,110,99,121,115,99,104,101,109,101,114,101,109,97,105,110,66, 114,97,122,105,108,115,97,109,112,108,101,108,111,103,111,34,62,98,101,121,111, 110,100,45,115,99,97,108,101,97,99,99,101,112,116,115,101,114,118,101,100,109,97 ,114,105,110,101,70,111,111,116,101,114,99,97,109,101,114,97,60,47,104,49,62,10, 95,102,111,114,109,34,108,101,97,118,101,115,115,116,114,101,115,115,34,32,47,62 ,13,10,46,103,105,102,34,32,111,110,108,111,97,100,108,111,97,100,101,114,79,120 ,102,111,114,100,115,105,115,116,101,114,115,117,114,118,105,118,108,105,115,116 ,101,110,102,101,109,97,108,101,68,101,115,105,103,110,115,105,122,101,61,34,97, 112,112,101,97,108,116,101,120,116,34,62,108,101,118,101,108,115,116,104,97,110, 107,115,104,105,103,104,101,114,102,111,114,99,101,100,97,110,105,109,97,108,97, 110,121,111,110,101,65,102,114,105,99,97,97,103,114,101,101,100,114,101,99,101, 110,116,80,101,111,112,108,101,60,98,114,32,47,62,119,111,110,100,101,114,112, 114,105,99,101,115,116,117,114,110,101,100,124,124,32,123,125,59,109,97,105,110, 34,62,105,110,108,105,110,101,115,117,110,100,97,121,119,114,97,112,34,62,102,97 ,105,108,101,100,99,101,110,115,117,115,109,105,110,117,116,101,98,101,97,99,111 ,110,113,117,111,116,101,115,49,53,48,112,120,124,101,115,116,97,116,101,114,101 ,109,111,116,101,101,109,97,105,108,34,108,105,110,107,101,100,114,105,103,104, 116,59,115,105,103,110,97,108,102,111,114,109,97,108,49,46,104,116,109,108,115, 105,103,110,117,112,112,114,105,110,99,101,102,108,111,97,116,58,46,112,110,103, 34,32,102,111,114,117,109,46,65,99,99,101,115,115,112,97,112,101,114,115,115,111 ,117,110,100,115,101,120,116,101,110,100,72,101,105,103,104,116,115,108,105,100, 101,114,85,84,70,45,56,34,38,97,109,112,59,32,66,101,102,111,114,101,46,32,87, 105,116,104,115,116,117,100,105,111,111,119,110,101,114,115,109,97,110,97,103, 101,112,114,111,102,105,116,106,81,117,101,114,121,97,110,110,117,97,108,112,97, 114,97,109,115,98,111,117,103,104,116,102,97,109,111,117,115,103,111,111,103,108 ,101,108,111,110,103,101,114,105,43,43,41,32,123,105,115,114,97,101,108,115,97, 121,105,110,103,100,101,99,105,100,101,104,111,109,101,34,62,104,101,97,100,101, 114,101,110,115,117,114,101,98,114,97,110,99,104,112,105,101,99,101,115,98,108, 111,99,107,59,115,116,97,116,101,100,116,111,112,34,62,60,114,97,99,105,110,103, 114,101,115,105,122,101,45,45,38,103,116,59,112,97,99,105,116,121,115,101,120, 117,97,108,98,117,114,101,97,117,46,106,112,103,34,32,49,48,44,48,48,48,111,98, 116,97,105,110,116,105,116,108,101,115,97,109,111,117,110,116,44,32,73,110,99,46 ,99,111,109,101,100,121,109,101,110,117,34,32,108,121,114,105,99,115,116,111,100 ,97,121,46,105,110,100,101,101,100,99,111,117,110,116,121,95,108,111,103,111,46, 70,97,109,105,108,121,108,111,111,107,101,100,77,97,114,107,101,116,108,115,101, 32,105,102,80,108,97,121,101,114,116,117,114,107,101,121,41,59,118,97,114,32,102 ,111,114,101,115,116,103,105,118,105,110,103,101,114,114,111,114,115,68,111,109, 97,105,110,125,101,108,115,101,123,105,110,115,101,114,116,66,108,111,103,60,47, 102,111,111,116,101,114,108,111,103,105,110,46,102,97,115,116,101,114,97,103,101 ,110,116,115,60,98,111,100,121,32,49,48,112,120,32,48,112,114,97,103,109,97,102, 114,105,100,97,121,106,117,110,105,111,114,100,111,108,108,97,114,112,108,97,99, 101,100,99,111,118,101,114,115,112,108,117,103,105,110,53,44,48,48,48,32,112,97, 103,101,34,62,98,111,115,116,111,110,46,116,101,115,116,40,97,118,97,116,97,114, 116,101,115,116,101,100,95,99,111,117,110,116,102,111,114,117,109,115,115,99,104 ,101,109,97,105,110,100,101,120,44,102,105,108,108,101,100,115,104,97,114,101, 115,114,101,97,100,101,114,97,108,101,114,116,40,97,112,112,101,97,114,83,117,98 ,109,105,116,108,105,110,101,34,62,98,111,100,121,34,62,10,42,32,84,104,101,84, 104,111,117,103,104,115,101,101,105,110,103,106,101,114,115,101,121,78,101,119, 115,60,47,118,101,114,105,102,121,101,120,112,101,114,116,105,110,106,117,114, 121,119,105,100,116,104,61,67,111,111,107,105,101,83,84,65,82,84,32,97,99,114, 111,115,115,95,105,109,97,103,101,116,104,114,101,97,100,110,97,116,105,118,101, 112,111,99,107,101,116,98,111,120,34,62,10,83,121,115,116,101,109,32,68,97,118, 105,100,99,97,110,99,101,114,116,97,98,108,101,115,112,114,111,118,101,100,65, 112,114,105,108,32,114,101,97,108,108,121,100,114,105,118,101,114,105,116,101, 109,34,62,109,111,114,101,34,62,98,111,97,114,100,115,99,111,108,111,114,115,99, 97,109,112,117,115,102,105,114,115,116,32,124,124,32,91,93,59,109,101,100,105,97 ,46,103,117,105,116,97,114,102,105,110,105,115,104,119,105,100,116,104,58,115, 104,111,119,101,100,79,116,104,101,114,32,46,112,104,112,34,32,97,115,115,117, 109,101,108,97,121,101,114,115,119,105,108,115,111,110,115,116,111,114,101,115, 114,101,108,105,101,102,115,119,101,100,101,110,67,117,115,116,111,109,101,97, 115,105,108,121,32,121,111,117,114,32,83,116,114,105,110,103,10,10,87,104,105, 108,116,97,121,108,111,114,99,108,101,97,114,58,114,101,115,111,114,116,102,114, 101,110,99,104,116,104,111,117,103,104,34,41,32,43,32,34,60,98,111,100,121,62,98 ,117,121,105,110,103,98,114,97,110,100,115,77,101,109,98,101,114,110,97,109,101, 34,62,111,112,112,105,110,103,115,101,99,116,111,114,53,112,120,59,34,62,118,115 ,112,97,99,101,112,111,115,116,101,114,109,97,106,111,114,32,99,111,102,102,101, 101,109,97,114,116,105,110,109,97,116,117,114,101,104,97,112,112,101,110,60,47, 110,97,118,62,107,97,110,115,97,115,108,105,110,107,34,62,73,109,97,103,101,115, 61,102,97,108,115,101,119,104,105,108,101,32,104,115,112,97,99,101,48,38,97,109, 112,59,32,10,10,73,110,32,32,112,111,119,101,114,80,111,108,115,107,105,45,99, 111,108,111,114,106,111,114,100,97,110,66,111,116,116,111,109,83,116,97,114,116, 32,45,99,111,117,110,116,50,46,104,116,109,108,110,101,119,115,34,62,48,49,46, 106,112,103,79,110,108,105,110,101,45,114,105,103,104,116,109,105,108,108,101, 114,115,101,110,105,111,114,73,83,66,78,32,48,48,44,48,48,48,32,103,117,105,100, 101,115,118,97,108,117,101,41,101,99,116,105,111,110,114,101,112,97,105,114,46, 120,109,108,34,32,32,114,105,103,104,116,115,46,104,116,109,108,45,98,108,111,99 ,107,114,101,103,69,120,112,58,104,111,118,101,114,119,105,116,104,105,110,118, 105,114,103,105,110,112,104,111,110,101,115,60,47,116,114,62,13,117,115,105,110, 103,32,10,9,118,97,114,32,62,39,41,59,10,9,60,47,116,100,62,10,60,47,116,114,62, 10,98,97,104,97,115,97,98,114,97,115,105,108,103,97,108,101,103,111,109,97,103, 121,97,114,112,111,108,115,107,105,115,114,112,115,107,105,216,177,216,175,217, 136,228,184,173,230,150,135,231,174,128,228,189,147,231,185,129,233,171,148,228, 191,161,230,129,175,228,184,173,229,155,189,230,136,145,228,187,172,228,184,128, 228,184,170,229,133,172,229,143,184,231,174,161,231,144,134,232,174,186,229,157, 155,229,143,175,228,187,165,230,156,141,229,138,161,230,151,182,233,151,180,228, 184,170,228,186,186,228,186,167,229,147,129,232,135,170,229,183,177,228,188,129, 228,184,154,230,159,165,231,156,139,229,183,165,228,189,156,232,129,148,231,179, 187,230,178,161,230,156,137,231,189,145,231,171,153,230,137,128,230,156,137,232, 175,132,232,174,186,228,184,173,229,191,131,230,150,135,231,171,160,231,148,168, 230,136,183,233,166,150,233,161,181,228,189,156,232,128,133,230,138,128,230,156, 175,233,151,174,233,162,152,231,155,184,229,133,179,228,184,139,232,189,189,230, 144,156,231,180,162,228,189,191,231,148,168,232,189,175,228,187,182,229,156,168, 231,186,191,228,184,187,233,162,152,232,181,132,230,150,153,232,167,134,233,162, 145,229,155,158,229,164,141,230,179,168,229,134,140,231,189,145,231,187,156,230, 148,182,232,151,143,229,134,133,229,174,185,230,142,168,232,141,144,229,184,130, 229,156,186,230,182,136,230,129,175,231,169,186,233,151,180,229,143,145,229,184, 131,228,187,128,228,185,136,229,165,189,229,143,139,231,148,159,230,180,187,229, 155,190,231,137,135,229,143,145,229,177,149,229,166,130,230,158,156,230,137,139, 230,156,186,230,150,176,233,151,187,230,156,128,230,150,176,230,150,185,229,188, 143,229,140,151,228,186,172,230,143,144,228,190,155,229,133,179,228,186,142,230, 155,180,229,164,154,232,191,153,228,184,170,231,179,187,231,187,159,231,159,165, 233,129,147,230,184,184,230,136,143,229,185,191,229,145,138,229,133,182,228,187, 150,229,143,145,232,161,168,229,174,137,229,133,168,231,172,172,228,184,128,228, 188,154,229,145,152,232,191,155,232,161,140,231,130,185,229,135,187,231,137,136, 230,157,131,231,148,181,229,173,144,228,184,150,231,149,140,232,174,190,232,174, 161,229,133,141,232,180,185,230,149,153,232,130,178,229,138,160,229,133,165,230, 180,187,229,138,168,228,187,150,228,187,172,229,149,134,229,147,129,229,141,154, 229,174,162,231,142,176,229,156,168,228,184,138,230,181,183,229,166,130,228,189, 149,229,183,178,231,187,143,231,149,153,232,168,128,232,175,166,231,187,134,231, 164,190,229,140,186,231,153,187,229,189,149,230,156,172,231,171,153,233,156,128, 232,166,129,228,187,183,230,160,188,230,148,175,230,140,129,229,155,189,233,153, 133,233,147,190,230,142,165,229,155,189,229,174,182,229,187,186,232,174,190,230, 156,139,229,143,139,233,152,133,232,175,187,230,179,149,229,190,139,228,189,141, 231,189,174,231,187,143,230,181,142,233,128,137,230,139,169,232,191,153,230,160, 183,229,189,147,229,137,141,229,136,134,231,177,187,230,142,146,232,161,140,229, 155,160,228,184,186,228,186,164,230,152,147,230,156,128,229,144,142,233,159,179, 228,185,144,228,184,141,232,131,189,233,128,154,232,191,135,232,161,140,228,184, 154,231,167,145,230,138,128,229,143,175,232,131,189,232,174,190,229,164,135,229, 144,136,228,189,156,229,164,167,229,174,182,231,164,190,228,188,154,231,160,148, 231,169,182,228,184,147,228,184,154,229,133,168,233,131,168,233,161,185,231,155, 174,232,191,153,233,135,140,232,191,152,230,152,175,229,188,128,229,167,139,230, 131,133,229,134,181,231,148,181,232,132,145,230,150,135,228,187,182,229,147,129, 231,137,140,229,184,174,229,138,169,230,150,135,229,140,150,232,181,132,230,186, 144,229,164,167,229,173,166,229,173,166,228,185,160,229,156,176,229,157,128,230, 181,143,232,167,136,230,138,149,232,181,132,229,183,165,231,168,139,232,166,129, 230,177,130,230,128,142,228,185,136,230,151,182,229,128,153,229,138,159,232,131, 189,228,184,187,232,166,129,231,155,174,229,137,141,232,181,132,232,174,175,229, 159,142,229,184,130,230,150,185,230,179,149,231,148,181,229,189,177,230,139,155, 232,129,152,229,163,176,230,152,142,228,187,187,228,189,149,229,129,165,229,186, 183,230,149,176,230,141,174,231,190,142,229,155,189,230,177,189,232,189,166,228, 187,139,231,187,141,228,189,134,230,152,175,228,186,164,230,181,129,231,148,159, 228,186,167,230,137,128,228,187,165,231,148,181,232,175,157,230,152,190,231,164, 186,228,184,128,228,186,155,229,141,149,228,189,141,228,186,186,229,145,152,229, 136,134,230,158,144,229,156,176,229,155,190,230,151,133,230,184,184,229,183,165, 229,133,183,229,173,166,231,148,159,231,179,187,229,136,151,231,189,145,229,143, 139,229,184,150,229,173,144,229,175,134,231,160,129,233,162,145,233,129,147,230, 142,167,229,136,182,229,156,176,229,140,186,229,159,186,230,156,172,229,133,168, 229,155,189,231,189,145,228,184,138,233,135,141,232,166,129,231,172,172,228,186, 140,229,150,156,230,172,162,232,191,155,229,133,165,229,143,139,230,131,133,232, 191,153,228,186,155,232,128,131,232,175,149,229,143,145,231,142,176,229,159,185, 232,174,173,228,187,165,228,184,138,230,148,191,229,186,156,230,136,144,228,184, 186,231,142,175,229,162,131,233,166,153,230,184,175,229,144,140,230,151,182,229, 168,177,228,185,144,229,143,145,233,128,129,228,184,128,229,174,154,229,188,128, 229,143,145,228,189,156,229,147,129,230,160,135,229,135,134,230,172,162,232,191, 142,232,167,163,229,134,179,229,156,176,230,150,185,228,184,128,228,184,139,228, 187,165,229,143,138,232,180,163,228,187,187,230,136,150,232,128,133,229,174,162, 230,136,183,228,187,163,232,161,168,231,167,175,229,136,134,229,165,179,228,186, 186,230,149,176,231,160,129,233,148,128,229,148,174,229,135,186,231,142,176,231, 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175,190,231,168,139,229,140,187,231,150,151,231,187,143,232,191,135,232,191,135, 229,142,187,228,185,139,229,137,141,230,148,182,229,133,165,229,185,180,229,186, 166,230,157,130,229,191,151,231,190,142,228,184,189,230,156,128,233,171,152,231, 153,187,233,153,134,230,156,170,230,157,165,229,138,160,229,183,165,229,133,141, 232,180,163,230,149,153,231,168,139,231,137,136,229,157,151,232,186,171,228,189, 147,233,135,141,229,186,134,229,135,186,229,148,174,230,136,144,230,156,172,229, 189,162,229,188,143,229,156,159,232,177,134,229,135,186,229,131,185,228,184,156, 230,150,185,233,130,174,231,174,177,229,141,151,228,186,172,230,177,130,232,129, 140,229,143,150,229,190,151,232,129,140,228,189,141,231,155,184,228,191,161,233, 161,181,233,157,162,229,136,134,233,146,159,231,189,145,233,161,181,231,161,174, 229,174,154,229,155,190,228,190,139,231,189,145,229,157,128,231,167,175,230,158, 129,233,148,153,232,175,175,231,155,174,231,154,132,229,174,157,232,180,157,230, 156,186,229,133,179,233,163,142,233,153,169,230,142,136,230,157,131,231,151,133, 230,175,146,229,174,160,231,137,169,233,153,164,228,186,134,232,169,149,232,171, 150,231,150,190,231,151,133,229,143,138,230,151,182,230,177,130,232,180,173,231, 171,153,231,130,185,229,132,191,231,171,165,230,175,143,229,164,169,228,184,173, 229,164,174,232,174,164,232,175,134,230,175,143,228,184,170,229,164,169,230,180, 165,229,173,151,228,189,147,229,143,176,231,129,163,231,187,180,230,138,164,230, 156,172,233,161,181,228,184,170,230,128,167,229,174,152,230,150,185,229,184,184, 232,167,129,231,155,184,230,156,186,230,136,152,231,149,165,229,186,148,229,189, 147,229,190,139,229,184,136,230,150,185,228,190,191,230,160,161,229,155,173,232, 130,161,229,184,130,230,136,191,229,177,139,230,160,143,231,155,174,229,145,152, 229,183,165,229,175,188,232,135,180,231,170,129,231,132,182,233,129,147,229,133, 183,230,156,172,231,189,145,231,187,147,229,144,136,230,161,163,230,161,136,229, 138,179,229,138,168,229,143,166,229,164,150,231,190,142,229,133,131,229,188,149, 232,181,183,230,148,185,229,143,152,231,172,172,229,155,155,228,188,154,232,174, 161,232,170,170,230,152,142,233,154,144,231,167,129,229,174,157,229,174,157,232, 167,132,232,140,131,230,182,136,232,180,185,229,133,177,229,144,140,229,191,152, 232,174,176,228,189,147,231,179,187,229,184,166,230,157,165,229,144,141,229,173, 151,231,153,188,232,161,168,229,188,128,230,148,190,229,138,160,231,155,159,229, 143,151,229,136,176,228,186,140,230,137,139,229,164,167,233,135,143,230,136,144, 228,186,186,230,149,176,233,135,143,229,133,177,228,186,171,229,140,186,229,159, 159,229,165,179,229,173,169,229,142,159,229,136,153,230,137,128,229,156,168,231, 187,147,230,157,159,233,128,154,228,191,161,232,182,133,231,186,167,233,133,141, 231,189,174,229,189,147,230,151,182,228,188,152,231,167,128,230,128,167,230,132, 159,230,136,191,228,186,167,233,129,138,230,136,178,229,135,186,229,143,163,230, 143,144,228,186,164,229,176,177,228,184,154,228,191,157,229,129,165,231,168,139, 229,186,166,229,143,130,230,149,176,228,186,139,228,184,154,230,149,180,228,184, 170,229,177,177,228,184,156,230,131,133,230,132,159,231,137,185,230,174,138,229, 136,134,233,161,158,230,144,156,229,176,139,229,177,158,228,186,142,233,151,168, 230,136,183,232,180,162,229,138,161,229,163,176,233,159,179,229,143,138,229,133, 182,232,180,162,231,187,143,229,157,154,230,140,129,229,185,178,233,131,168,230, 136,144,231,171,139,229,136,169,231,155,138,232,128,131,232,153,145,230,136,144, 233,131,189,229,140,133,232,163,133,231,148,168,230,136,182,230,175,148,232,181, 155,230,150,135,230,152,142,230,139,155,229,149,134,229,174,140,230,149,180,231, 156,159,230,152,175,231,156,188,231,157,155,228,188,153,228,188,180,229,168,129, 230,156,155,233,162,134,229,159,159,229,141,171,231,148,159,228,188,152,230,131, 160,232,171,150,229,163,135,229,133,172,229,133,177,232,137,175,229,165,189,229, 133,133,229,136,134,231,172,166,229,144,136,233,153,132,228,187,182,231,137,185, 231,130,185,228,184,141,229,143,175,232,139,177,230,150,135,232,181,132,228,186, 167,230,160,185,230,156,172,230,152,142,230,152,190,229,175,134,231,162,188,229, 133,172,228,188,151,230,176,145,230,151,143,230,155,180,229,138,160,228,186,171, 229,143,151,229,144,140,229,173,166,229,144,175,229,138,168,233,128,130,229,144, 136,229,142,159,230,157,165,233,151,174,231,173,148,230,156,172,230,150,135,231, 190,142,233,163,159,231,187,191,232,137,178,231,168,179,229,174,154,231,187,136, 228,186,142,231,148,159,231,137,169,228,190,155,230,177,130,230,144,156,231,139, 144,229,138,155,233,135,143,228,184,165,233,135,141,230,176,184,232,191,156,229, 134,153,231,156,159,230,156,137,233,153,144,231,171,158,228,186,137,229,175,185, 232,177,161,232,180,185,231,148,168,228,184,141,229,165,189,231,187,157,229,175, 185,229,141,129,229,136,134,228,191,131,232,191,155,231,130,185,232,175,132,229, 189,177,233,159,179,228,188,152,229,138,191,228,184,141,229,176,145,230,172,163, 232,181,143,229,185,182,228,184,148,230,156,137,231,130,185,230,150,185,229,144, 145,229,133,168,230,150,176,228,191,161,231,148,168,232,174,190,230,150,189,229, 189,162,232,177,161,232,181,132,230,160,188,231,170,129,231,160,180,233,154,143, 231,157,128,233,135,141,229,164,167,228,186,142,230,152,175,230,175,149,228,184, 154,230,153,186,232,131,189,229,140,150,229,183,165,229,174,140,231,190,142,229, 149,134,229,159,142,231,187,159,228,184,128,229,135,186,231,137,136,230,137,147, 233,128,160,231,148,162,229,147,129,230,166,130,229,134,181,231,148,168,228,186, 142,228,191,157,231,149,153,229,155,160,231,180,160,228,184,173,229,156,139,229, 173,152,229,130,168,232,180,180,229,155,190,230,156,128,230,132,155,233,149,191, 230,156,159,229,143,163,228,187,183,231,144,134,232,180,162,229,159,186,229,156, 176,229,174,137,230,142,146,230,173,166,230,177,137,233,135,140,233,157,162,229, 136,155,229,187,186,229,164,169,231,169,186,233,166,150,229,133,136,229,174,140, 229,150,132,233,169,177,229,138,168,228,184,139,233,157,162,228,184,141,229,134, 141,232,175,154,228,191,161,230,132,143,228,185,137,233,152,179,229,133,137,232, 139,177,229,155,189,230,188,130,228,186,174,229,134,155,228,186,139,231,142,169, 229,174,182,231,190,164,228,188,151,229,134,156,230,176,145,229,141,179,229,143, 175,229,144,141,231,168,177,229,174,182,229,133,183,229,138,168,231,148,187,230, 131,179,229,136,176,230,179,168,230,152,142,229,176,143,229,173,166,230,128,167, 232,131,189,232,128,131,231,160,148,231,161,172,228,187,182,232,167,130,231,156, 139,230,184,133,230,165,154,230,144,158,231,172,145,233,166,150,233,160,129,233, 187,132,233,135,145,233,128,130,231,148,168,230,177,159,232,139,143,231,156,159, 229,174,158,228,184,187,231,174,161,233,152,182,230,174,181,232,168,187,229,134, 138,231,191,187,232,175,145,230,157,131,229,136,169,229,129,154,229,165,189,228, 188,188,228,185,142,233,128,154,232,174,175,230,150,189,229,183,165,231,139,128, 230,133,139,228,185,159,232,174,184,231,142,175,228,191,157,229,159,185,229,133, 187,230,166,130,229,191,181,229,164,167,229,158,139,230,156,186,231,165,168,231, 144,134,232,167,163,229,140,191,229,144,141,99,117,97,110,100,111,101,110,118, 105,97,114,109,97,100,114,105,100,98,117,115,99,97,114,105,110,105,99,105,111, 116,105,101,109,112,111,112,111,114,113,117,101,99,117,101,110,116,97,101,115, 116,97,100,111,112,117,101,100,101,110,106,117,101,103,111,115,99,111,110,116, 114,97,101,115,116,195,161,110,110,111,109,98,114,101,116,105,101,110,101,110, 112,101,114,102,105,108,109,97,110,101,114,97,97,109,105,103,111,115,99,105,117, 100,97,100,99,101,110,116,114,111,97,117,110,113,117,101,112,117,101,100,101,115 ,100,101,110,116,114,111,112,114,105,109,101,114,112,114,101,99,105,111,115,101, 103,195,186,110,98,117,101,110,111,115,118,111,108,118,101,114,112,117,110,116, 111,115,115,101,109,97,110,97,104,97,98,195,173,97,97,103,111,115,116,111,110, 117,101,118,111,115,117,110,105,100,111,115,99,97,114,108,111,115,101,113,117, 105,112,111,110,105,195,177,111,115,109,117,99,104,111,115,97,108,103,117,110,97 ,99,111,114,114,101,111,105,109,97,103,101,110,112,97,114,116,105,114,97,114,114 ,105,98,97,109,97,114,195,173,97,104,111,109,98,114,101,101,109,112,108,101,111, 118,101,114,100,97,100,99,97,109,98,105,111,109,117,99,104,97,115,102,117,101, 114,111,110,112,97,115,97,100,111,108,195,173,110,101,97,112,97,114,101,99,101, 110,117,101,118,97,115,99,117,114,115,111,115,101,115,116,97,98,97,113,117,105, 101,114,111,108,105,98,114,111,115,99,117,97,110,116,111,97,99,99,101,115,111, 109,105,103,117,101,108,118,97,114,105,111,115,99,117,97,116,114,111,116,105,101 ,110,101,115,103,114,117,112,111,115,115,101,114,195,161,110,101,117,114,111,112 ,97,109,101,100,105,111,115,102,114,101,110,116,101,97,99,101,114,99,97,100,101, 109,195,161,115,111,102,101,114,116,97,99,111,99,104,101,115,109,111,100,101,108 ,111,105,116,97,108,105,97,108,101,116,114,97,115,97,108,103,195,186,110,99,111, 109,112,114,97,99,117,97,108,101,115,101,120,105,115,116,101,99,117,101,114,112, 111,115,105,101,110,100,111,112,114,101,110,115,97,108,108,101,103,97,114,118, 105,97,106,101,115,100,105,110,101,114,111,109,117,114,99,105,97,112,111,100,114 ,195,161,112,117,101,115,116,111,100,105,97,114,105,111,112,117,101,98,108,111, 113,117,105,101,114,101,109,97,110,117,101,108,112,114,111,112,105,111,99,114, 105,115,105,115,99,105,101,114,116,111,115,101,103,117,114,111,109,117,101,114, 116,101,102,117,101,110,116,101,99,101,114,114,97,114,103,114,97,110,100,101,101 ,102,101,99,116,111,112,97,114,116,101,115,109,101,100,105,100,97,112,114,111, 112,105,97,111,102,114,101,99,101,116,105,101,114,114,97,101,45,109,97,105,108, 118,97,114,105,97,115,102,111,114,109,97,115,102,117,116,117,114,111,111,98,106, 101,116,111,115,101,103,117,105,114,114,105,101,115,103,111,110,111,114,109,97, 115,109,105,115,109,111,115,195,186,110,105,99,111,99,97,109,105,110,111,115,105 ,116,105,111,115,114,97,122,195,179,110,100,101,98,105,100,111,112,114,117,101, 98,97,116,111,108,101,100,111,116,101,110,195,173,97,106,101,115,195,186,115,101 ,115,112,101,114,111,99,111,99,105,110,97,111,114,105,103,101,110,116,105,101, 110,100,97,99,105,101,110,116,111,99,195,161,100,105,122,104,97,98,108,97,114, 115,101,114,195,173,97,108,97,116,105,110,97,102,117,101,114,122,97,101,115,116, 105,108,111,103,117,101,114,114,97,101,110,116,114,97,114,195,169,120,105,116, 111,108,195,179,112,101,122,97,103,101,110,100,97,118,195,173,100,101,111,101, 118,105,116,97,114,112,97,103,105,110,97,109,101,116,114,111,115,106,97,118,105, 101,114,112,97,100,114,101,115,102,195,161,99,105,108,99,97,98,101,122,97,195, 161,114,101,97,115,115,97,108,105,100,97,101,110,118,195,173,111,106,97,112,195, 179,110,97,98,117,115,111,115,98,105,101,110,101,115,116,101,120,116,111,115,108 ,108,101,118,97,114,112,117,101,100,97,110,102,117,101,114,116,101,99,111,109, 195,186,110,99,108,97,115,101,115,104,117,109,97,110,111,116,101,110,105,100,111 ,98,105,108,98,97,111,117,110,105,100,97,100,101,115,116,195,161,115,101,100,105 ,116,97,114,99,114,101,97,100,111,208,180,208,187,209,143,209,135,209,130,208, 190,208,186,208,176,208,186,208,184,208,187,208,184,209,141,209,130,208,190,208, 178,209,129,208,181,208,181,208,179,208,190,208,191,209,128,208,184,209,130,208, 176,208,186,208,181,209,137,208,181,209,131,208,182,208,181,208,154,208,176,208, 186,208,177,208,181,208,183,208,177,209,139,208,187,208,190,208,189,208,184,208, 146,209,129,208,181,208,191,208,190,208,180,208,173,209,130,208,190,209,130,208, 190,208,188,209,135,208,181,208,188,208,189,208,181,209,130,208,187,208,181,209, 130,209,128,208,176,208,183,208,190,208,189,208,176,208,179,208,180,208,181,208, 188,208,189,208,181,208,148,208,187,209,143,208,159,209,128,208,184,208,189,208, 176,209,129,208,189,208,184,209,133,209,130,208,181,208,188,208,186,209,130,208, 190,208,179,208,190,208,180,208,178,208,190,209,130,209,130,208,176,208,188,208, 161,208,168,208,144,208,188,208,176,209,143,208,167,209,130,208,190,208,178,208, 176,209,129,208,178,208,176,208,188,208,181,208,188,209,131,208,162,208,176,208, 186,208,180,208,178,208,176,208,189,208,176,208,188,209,141,209,130,208,184,209, 141,209,130,209,131,208,146,208,176,208,188,209,130,208,181,209,133,208,191,209, 128,208,190,209,130,209,131,209,130,208,189,208,176,208,180,208,180,208,189,209, 143,208,146,208,190,209,130,209,130,209,128,208,184,208,189,208,181,208,185,208, 146,208,176,209,129,208,189,208,184,208,188,209,129,208,176,208,188,209,130,208, 190,209,130,209,128,209,131,208,177,208,158,208,189,208,184,208,188,208,184,209, 128,208,189,208,181,208,181,208,158,208,158,208,158,208,187,208,184,209,134,209, 141,209,130,208,176,208,158,208,189,208,176,208,189,208,181,208,188,208,180,208, 190,208,188,208,188,208,190,208,185,208,180,208,178,208,181,208,190,208,189,208, 190,209,129,209,131,208,180,224,164,149,224,165,135,224,164,185,224,165,136,224, 164,149,224,165,128,224,164,184,224,165,135,224,164,149,224,164,190,224,164,149, 224,165,139,224,164,148,224,164,176,224,164,170,224,164,176,224,164,168,224,165, 135,224,164,143,224,164,149,224,164,149,224,164,191,224,164,173,224,165,128,224, 164,135,224,164,184,224,164,149,224,164,176,224,164,164,224,165,139,224,164,185, 224,165,139,224,164,134,224,164,170,224,164,185,224,165,128,224,164,175,224,164, 185,224,164,175,224,164,190,224,164,164,224,164,149,224,164,165,224,164,190,106, 97,103,114,97,110,224,164,134,224,164,156,224,164,156,224,165,139,224,164,133, 224,164,172,224,164,166,224,165,139,224,164,151,224,164,136,224,164,156,224,164, 190,224,164,151,224,164,143,224,164,185,224,164,174,224,164,135,224,164,168,224, 164,181,224,164,185,224,164,175,224,165,135,224,164,165,224,165,135,224,164,165, 224,165,128,224,164,152,224,164,176,224,164,156,224,164,172,224,164,166,224,165, 128,224,164,149,224,164,136,224,164,156,224,165,128,224,164,181,224,165,135,224, 164,168,224,164,136,224,164,168,224,164,143,224,164,185,224,164,176,224,164,137, 224,164,184,224,164,174,224,165,135,224,164,149,224,164,174,224,164,181,224,165, 139,224,164,178,224,165,135,224,164,184,224,164,172,224,164,174,224,164,136,224, 164,166,224,165,135,224,164,147,224,164,176,224,164,134,224,164,174,224,164,172, 224,164,184,224,164,173,224,164,176,224,164,172,224,164,168,224,164,154,224,164, 178,224,164,174,224,164,168,224,164,134,224,164,151,224,164,184,224,165,128,224, 164,178,224,165,128,216,185,217,132,217,137,216,165,217,132,217,137,217,135,216, 176,216,167,216,162,216,174,216,177,216,185,216,175,216,175,216,167,217,132,217, 137,217,135,216,176,217,135,216,181,217,136,216,177,216,186,217,138,216,177,217, 131,216,167,217,134,217,136,217,132,216,167,216,168,217,138,217,134,216,185,216, 177,216,182,216,176,217,132,217,131,217,135,217,134,216,167,217,138,217,136,217, 133,217,130,216,167,217,132,216,185,217,132,217,138,216,167,217,134,216,167,217, 132,217,131,217,134,216,173,216,170,217,137,217,130,216,168,217,132,217,136,216, 173,216,169,216,167,216,174,216,177,217,129,217,130,216,183,216,185,216,168,216, 175,216,177,217,131,217,134,216,165,216,176,216,167,217,131,217,133,216,167,216, 167,216,173,216,175,216,165,217,132,216,167,217,129,217,138,217,135,216,168,216, 185,216,182,217,131,217,138,217,129,216,168,216,173,216,171,217,136,217,133,217, 134,217,136,217,135,217,136,216,163,217,134,216,167,216,172,216,175,216,167,217, 132,217,135,216,167,216,179,217,132,217,133,216,185,217,134,216,175,217,132,217, 138,216,179,216,185,216,168,216,177,216,181,217,132,217,137,217,133,217,134,216, 176,216,168,217,135,216,167,216,163,217,134,217,135,217,133,216,171,217,132,217, 131,217,134,216,170,216,167,217,132,216,167,216,173,217,138,216,171,217,133,216, 181,216,177,216,180,216,177,216,173,216,173,217,136,217,132,217,136,217,129,217, 138,216,167,216,176,216,167,217,132,217,131,217,132,217,133,216,177,216,169,216, 167,217,134,216,170,216,167,217,132,217,129,216,163,216,168,217,136,216,174,216, 167,216,181,216,163,217,134,216,170,216,167,217,134,217,135,216,167,217,132,217, 138,216,185,216,182,217,136,217,136,217,130,216,175,216,167,216,168,217,134,216, 174,217,138,216,177,216,168,217,134,216,170,217,132,217,131,217,133,216,180,216, 167,216,161,217,136,217,135,217,138,216,167,216,168,217,136,217,130,216,181,216, 181,217,136,217,133,216,167,216,177,217,130,217,133,216,163,216,173,216,175,217, 134,216,173,217,134,216,185,216,175,217,133,216,177,216,163,217,138,216,167,216, 173,216,169,217,131,216,170,216,168,216,175,217,136,217,134,217,138,216,172,216, 168,217,133,217,134,217,135,216,170,216,173,216,170,216,172,217,135,216,169,216, 179,217,134,216,169,217,138,216,170,217,133,217,131,216,177,216,169,216,186,216, 178,216,169,217,134,217,129,216,179,216,168,217,138,216,170,217,132,217,132,217, 135,217,132,217,134,216,167,216,170,217,132,217,131,217,130,217,132,216,168,217, 132,217,133,216,167,216,185,217,134,217,135,216,163,217,136,217,132,216,180,217, 138,216,161,217,134,217,136,216,177,216,163,217,133,216,167,217,129,217,138,217, 131,216,168,217,131,217,132,216,176,216,167,216,170,216,177,216,170,216,168,216, 168,216,163,217,134,217,135,217,133,216,179,216,167,217,134,217,131,216,168,217, 138,216,185,217,129,217,130,216,175,216,173,216,179,217,134,217,132,217,135,217, 133,216,180,216,185,216,177,216,163,217,135,217,132,216,180,217,135,216,177,217, 130,216,183,216,177,216,183,217,132,216,168,112,114,111,102,105,108,101,115,101, 114,118,105,99,101,100,101,102,97,117,108,116,104,105,109,115,101,108,102,100, 101,116,97,105,108,115,99,111,110,116,101,110,116,115,117,112,112,111,114,116, 115,116,97,114,116,101,100,109,101,115,115,97,103,101,115,117,99,99,101,115,115, 102,97,115,104,105,111,110,60,116,105,116,108,101,62,99,111,117,110,116,114,121, 97,99,99,111,117,110,116,99,114,101,97,116,101,100,115,116,111,114,105,101,115, 114,101,115,117,108,116,115,114,117,110,110,105,110,103,112,114,111,99,101,115, 115,119,114,105,116,105,110,103,111,98,106,101,99,116,115,118,105,115,105,98,108 ,101,119,101,108,99,111,109,101,97,114,116,105,99,108,101,117,110,107,110,111, 119,110,110,101,116,119,111,114,107,99,111,109,112,97,110,121,100,121,110,97,109 ,105,99,98,114,111,119,115,101,114,112,114,105,118,97,99,121,112,114,111,98,108, 101,109,83,101,114,118,105,99,101,114,101,115,112,101,99,116,100,105,115,112,108 ,97,121,114,101,113,117,101,115,116,114,101,115,101,114,118,101,119,101,98,115, 105,116,101,104,105,115,116,111,114,121,102,114,105,101,110,100,115,111,112,116, 105,111,110,115,119,111,114,107,105,110,103,118,101,114,115,105,111,110,109,105, 108,108,105,111,110,99,104,97,110,110,101,108,119,105,110,100,111,119,46,97,100, 100,114,101,115,115,118,105,115,105,116,101,100,119,101,97,116,104,101,114,99, 111,114,114,101,99,116,112,114,111,100,117,99,116,101,100,105,114,101,99,116,102 ,111,114,119,97,114,100,121,111,117,32,99,97,110,114,101,109,111,118,101,100,115 ,117,98,106,101,99,116,99,111,110,116,114,111,108,97,114,99,104,105,118,101,99, 117,114,114,101,110,116,114,101,97,100,105,110,103,108,105,98,114,97,114,121,108 ,105,109,105,116,101,100,109,97,110,97,103,101,114,102,117,114,116,104,101,114, 115,117,109,109,97,114,121,109,97,99,104,105,110,101,109,105,110,117,116,101,115 ,112,114,105,118,97,116,101,99,111,110,116,101,120,116,112,114,111,103,114,97, 109,115,111,99,105,101,116,121,110,117,109,98,101,114,115,119,114,105,116,116, 101,110,101,110,97,98,108,101,100,116,114,105,103,103,101,114,115,111,117,114,99 ,101,115,108,111,97,100,105,110,103,101,108,101,109,101,110,116,112,97,114,116, 110,101,114,102,105,110,97,108,108,121,112,101,114,102,101,99,116,109,101,97,110 ,105,110,103,115,121,115,116,101,109,115,107,101,101,112,105,110,103,99,117,108, 116,117,114,101,38,113,117,111,116,59,44,106,111,117,114,110,97,108,112,114,111, 106,101,99,116,115,117,114,102,97,99,101,115,38,113,117,111,116,59,101,120,112, 105,114,101,115,114,101,118,105,101,119,115,98,97,108,97,110,99,101,69,110,103, 108,105,115,104,67,111,110,116,101,110,116,116,104,114,111,117,103,104,80,108, 101,97,115,101,32,111,112,105,110,105,111,110,99,111,110,116,97,99,116,97,118, 101,114,97,103,101,112,114,105,109,97,114,121,118,105,108,108,97,103,101,83,112, 97,110,105,115,104,103,97,108,108,101,114,121,100,101,99,108,105,110,101,109,101 ,101,116,105,110,103,109,105,115,115,105,111,110,112,111,112,117,108,97,114,113, 117,97,108,105,116,121,109,101,97,115,117,114,101,103,101,110,101,114,97,108,115 ,112,101,99,105,101,115,115,101,115,115,105,111,110,115,101,99,116,105,111,110, 119,114,105,116,101,114,115,99,111,117,110,116,101,114,105,110,105,116,105,97, 108,114,101,112,111,114,116,115,102,105,103,117,114,101,115,109,101,109,98,101, 114,115,104,111,108,100,105,110,103,100,105,115,112,117,116,101,101,97,114,108, 105,101,114,101,120,112,114,101,115,115,100,105,103,105,116,97,108,112,105,99, 116,117,114,101,65,110,111,116,104,101,114,109,97,114,114,105,101,100,116,114,97 ,102,102,105,99,108,101,97,100,105,110,103,99,104,97,110,103,101,100,99,101,110, 116,114,97,108,118,105,99,116,111,114,121,105,109,97,103,101,115,47,114,101,97, 115,111,110,115,115,116,117,100,105,101,115,102,101,97,116,117,114,101,108,105, 115,116,105,110,103,109,117,115,116,32,98,101,115,99,104,111,111,108,115,86,101, 114,115,105,111,110,117,115,117,97,108,108,121,101,112,105,115,111,100,101,112, 108,97,121,105,110,103,103,114,111,119,105,110,103,111,98,118,105,111,117,115, 111,118,101,114,108,97,121,112,114,101,115,101,110,116,97,99,116,105,111,110,115 ,60,47,117,108,62,13,10,119,114,97,112,112,101,114,97,108,114,101,97,100,121,99, 101,114,116,97,105,110,114,101,97,108,105,116,121,115,116,111,114,97,103,101,97, 110,111,116,104,101,114,100,101,115,107,116,111,112,111,102,102,101,114,101,100, 112,97,116,116,101,114,110,117,110,117,115,117,97,108,68,105,103,105,116,97,108, 99,97,112,105,116,97,108,87,101,98,115,105,116,101,102,97,105,108,117,114,101,99 ,111,110,110,101,99,116,114,101,100,117,99,101,100,65,110,100,114,111,105,100, 100,101,99,97,100,101,115,114,101,103,117,108,97,114,32,38,97,109,112,59,32,97, 110,105,109,97,108,115,114,101,108,101,97,115,101,65,117,116,111,109,97,116,103, 101,116,116,105,110,103,109,101,116,104,111,100,115,110,111,116,104,105,110,103, 80,111,112,117,108,97,114,99,97,112,116,105,111,110,108,101,116,116,101,114,115, 99,97,112,116,117,114,101,115,99,105,101,110,99,101,108,105,99,101,110,115,101, 99,104,97,110,103,101,115,69,110,103,108,97,110,100,61,49,38,97,109,112,59,72, 105,115,116,111,114,121,32,61,32,110,101,119,32,67,101,110,116,114,97,108,117, 112,100,97,116,101,100,83,112,101,99,105,97,108,78,101,116,119,111,114,107,114, 101,113,117,105,114,101,99,111,109,109,101,110,116,119,97,114,110,105,110,103,67 ,111,108,108,101,103,101,116,111,111,108,98,97,114,114,101,109,97,105,110,115,98 ,101,99,97,117,115,101,101,108,101,99,116,101,100,68,101,117,116,115,99,104,102, 105,110,97,110,99,101,119,111,114,107,101,114,115,113,117,105,99,107,108,121,98, 101,116,119,101,101,110,101,120,97,99,116,108,121,115,101,116,116,105,110,103, 100,105,115,101,97,115,101,83,111,99,105,101,116,121,119,101,97,112,111,110,115, 101,120,104,105,98,105,116,38,108,116,59,33,45,45,67,111,110,116,114,111,108,99, 108,97,115,115,101,115,99,111,118,101,114,101,100,111,117,116,108,105,110,101,97 ,116,116,97,99,107,115,100,101,118,105,99,101,115,40,119,105,110,100,111,119,112 ,117,114,112,111,115,101,116,105,116,108,101,61,34,77,111,98,105,108,101,32,107, 105,108,108,105,110,103,115,104,111,119,105,110,103,73,116,97,108,105,97,110,100 ,114,111,112,112,101,100,104,101,97,118,105,108,121,101,102,102,101,99,116,115, 45,49,39,93,41,59,10,99,111,110,102,105,114,109,67,117,114,114,101,110,116,97, 100,118,97,110,99,101,115,104,97,114,105,110,103,111,112,101,110,105,110,103,100 ,114,97,119,105,110,103,98,105,108,108,105,111,110,111,114,100,101,114,101,100, 71,101,114,109,97,110,121,114,101,108,97,116,101,100,60,47,102,111,114,109,62, 105,110,99,108,117,100,101,119,104,101,116,104,101,114,100,101,102,105,110,101, 100,83,99,105,101,110,99,101,99,97,116,97,108,111,103,65,114,116,105,99,108,101, 98,117,116,116,111,110,115,108,97,114,103,101,115,116,117,110,105,102,111,114, 109,106,111,117,114,110,101,121,115,105,100,101,98,97,114,67,104,105,99,97,103, 111,104,111,108,105,100,97,121,71,101,110,101,114,97,108,112,97,115,115,97,103, 101,44,38,113,117,111,116,59,97,110,105,109,97,116,101,102,101,101,108,105,110, 103,97,114,114,105,118,101,100,112,97,115,115,105,110,103,110,97,116,117,114,97, 108,114,111,117,103,104,108,121,46,10,10,84,104,101,32,98,117,116,32,110,111,116 ,100,101,110,115,105,116,121,66,114,105,116,97,105,110,67,104,105,110,101,115, 101,108,97,99,107,32,111,102,116,114,105,98,117,116,101,73,114,101,108,97,110, 100,34,32,100,97,116,97,45,102,97,99,116,111,114,115,114,101,99,101,105,118,101, 116,104,97,116,32,105,115,76,105,98,114,97,114,121,104,117,115,98,97,110,100,105 ,110,32,102,97,99,116,97,102,102,97,105,114,115,67,104,97,114,108,101,115,114,97 ,100,105,99,97,108,98,114,111,117,103,104,116,102,105,110,100,105,110,103,108,97 ,110,100,105,110,103,58,108,97,110,103,61,34,114,101,116,117,114,110,32,108,101, 97,100,101,114,115,112,108,97,110,110,101,100,112,114,101,109,105,117,109,112,97 ,99,107,97,103,101,65,109,101,114,105,99,97,69,100,105,116,105,111,110,93,38,113 ,117,111,116,59,77,101,115,115,97,103,101,110,101,101,100,32,116,111,118,97,108, 117,101,61,34,99,111,109,112,108,101,120,108,111,111,107,105,110,103,115,116,97, 116,105,111,110,98,101,108,105,101,118,101,115,109,97,108,108,101,114,45,109,111 ,98,105,108,101,114,101,99,111,114,100,115,119,97,110,116,32,116,111,107,105,110 ,100,32,111,102,70,105,114,101,102,111,120,121,111,117,32,97,114,101,115,105,109 ,105,108,97,114,115,116,117,100,105,101,100,109,97,120,105,109,117,109,104,101, 97,100,105,110,103,114,97,112,105,100,108,121,99,108,105,109,97,116,101,107,105, 110,103,100,111,109,101,109,101,114,103,101,100,97,109,111,117,110,116,115,102, 111,117,110,100,101,100,112,105,111,110,101,101,114,102,111,114,109,117,108,97, 100,121,110,97,115,116,121,104,111,119,32,116,111,32,83,117,112,112,111,114,116, 114,101,118,101,110,117,101,101,99,111,110,111,109,121,82,101,115,117,108,116, 115,98,114,111,116,104,101,114,115,111,108,100,105,101,114,108,97,114,103,101, 108,121,99,97,108,108,105,110,103,46,38,113,117,111,116,59,65,99,99,111,117,110, 116,69,100,119,97,114,100,32,115,101,103,109,101,110,116,82,111,98,101,114,116, 32,101,102,102,111,114,116,115,80,97,99,105,102,105,99,108,101,97,114,110,101, 100,117,112,32,119,105,116,104,104,101,105,103,104,116,58,119,101,32,104,97,118, 101,65,110,103,101,108,101,115,110,97,116,105,111,110,115,95,115,101,97,114,99, 104,97,112,112,108,105,101,100,97,99,113,117,105,114,101,109,97,115,115,105,118, 101,103,114,97,110,116,101,100,58,32,102,97,108,115,101,116,114,101,97,116,101, 100,98,105,103,103,101,115,116,98,101,110,101,102,105,116,100,114,105,118,105, 110,103,83,116,117,100,105,101,115,109,105,110,105,109,117,109,112,101,114,104, 97,112,115,109,111,114,110,105,110,103,115,101,108,108,105,110,103,105,115,32, 117,115,101,100,114,101,118,101,114,115,101,118,97,114,105,97,110,116,32,114,111 ,108,101,61,34,109,105,115,115,105,110,103,97,99,104,105,101,118,101,112,114,111 ,109,111,116,101,115,116,117,100,101,110,116,115,111,109,101,111,110,101,101,120 ,116,114,101,109,101,114,101,115,116,111,114,101,98,111,116,116,111,109,58,101, 118,111,108,118,101,100,97,108,108,32,116,104,101,115,105,116,101,109,97,112,101 ,110,103,108,105,115,104,119,97,121,32,116,111,32,32,65,117,103,117,115,116,115, 121,109,98,111,108,115,67,111,109,112,97,110,121,109,97,116,116,101,114,115,109, 117,115,105,99,97,108,97,103,97,105,110,115,116,115,101,114,118,105,110,103,125, 41,40,41,59,13,10,112,97,121,109,101,110,116,116,114,111,117,98,108,101,99,111, 110,99,101,112,116,99,111,109,112,97,114,101,112,97,114,101,110,116,115,112,108, 97,121,101,114,115,114,101,103,105,111,110,115,109,111,110,105,116,111,114,32,39 ,39,84,104,101,32,119,105,110,110,105,110,103,101,120,112,108,111,114,101,97,100 ,97,112,116,101,100,71,97,108,108,101,114,121,112,114,111,100,117,99,101,97,98, 105,108,105,116,121,101,110,104,97,110,99,101,99,97,114,101,101,114,115,41,46,32 ,84,104,101,32,99,111,108,108,101,99,116,83,101,97,114,99,104,32,97,110,99,105, 101,110,116,101,120,105,115,116,101,100,102,111,111,116,101,114,32,104,97,110, 100,108,101,114,112,114,105,110,116,101,100,99,111,110,115,111,108,101,69,97,115 ,116,101,114,110,101,120,112,111,114,116,115,119,105,110,100,111,119,115,67,104, 97,110,110,101,108,105,108,108,101,103,97,108,110,101,117,116,114,97,108,115,117 ,103,103,101,115,116,95,104,101,97,100,101,114,115,105,103,110,105,110,103,46, 104,116,109,108,34,62,115,101,116,116,108,101,100,119,101,115,116,101,114,110,99 ,97,117,115,105,110,103,45,119,101,98,107,105,116,99,108,97,105,109,101,100,74, 117,115,116,105,99,101,99,104,97,112,116,101,114,118,105,99,116,105,109,115,84, 104,111,109,97,115,32,109,111,122,105,108,108,97,112,114,111,109,105,115,101,112 ,97,114,116,105,101,115,101,100,105,116,105,111,110,111,117,116,115,105,100,101, 58,102,97,108,115,101,44,104,117,110,100,114,101,100,79,108,121,109,112,105,99, 95,98,117,116,116,111,110,97,117,116,104,111,114,115,114,101,97,99,104,101,100, 99,104,114,111,110,105,99,100,101,109,97,110,100,115,115,101,99,111,110,100,115, 112,114,111,116,101,99,116,97,100,111,112,116,101,100,112,114,101,112,97,114,101 ,110,101,105,116,104,101,114,103,114,101,97,116,108,121,103,114,101,97,116,101, 114,111,118,101,114,97,108,108,105,109,112,114,111,118,101,99,111,109,109,97,110 ,100,115,112,101,99,105,97,108,115,101,97,114,99,104,46,119,111,114,115,104,105, 112,102,117,110,100,105,110,103,116,104,111,117,103,104,116,104,105,103,104,101, 115,116,105,110,115,116,101,97,100,117,116,105,108,105,116,121,113,117,97,114, 116,101,114,67,117,108,116,117,114,101,116,101,115,116,105,110,103,99,108,101,97 ,114,108,121,101,120,112,111,115,101,100,66,114,111,119,115,101,114,108,105,98, 101,114,97,108,125,32,99,97,116,99,104,80,114,111,106,101,99,116,101,120,97,109, 112,108,101,104,105,100,101,40,41,59,70,108,111,114,105,100,97,97,110,115,119, 101,114,115,97,108,108,111,119,101,100,69,109,112,101,114,111,114,100,101,102, 101,110,115,101,115,101,114,105,111,117,115,102,114,101,101,100,111,109,83,101, 118,101,114,97,108,45,98,117,116,116,111,110,70,117,114,116,104,101,114,111,117, 116,32,111,102,32,33,61,32,110,117,108,108,116,114,97,105,110,101,100,68,101,110 ,109,97,114,107,118,111,105,100,40,48,41,47,97,108,108,46,106,115,112,114,101, 118,101,110,116,82,101,113,117,101,115,116,83,116,101,112,104,101,110,10,10,87, 104,101,110,32,111,98,115,101,114,118,101,60,47,104,50,62,13,10,77,111,100,101, 114,110,32,112,114,111,118,105,100,101,34,32,97,108,116,61,34,98,111,114,100,101 ,114,115,46,10,10,70,111,114,32,10,10,77,97,110,121,32,97,114,116,105,115,116, 115,112,111,119,101,114,101,100,112,101,114,102,111,114,109,102,105,99,116,105, 111,110,116,121,112,101,32,111,102,109,101,100,105,99,97,108,116,105,99,107,101, 116,115,111,112,112,111,115,101,100,67,111,117,110,99,105,108,119,105,116,110, 101,115,115,106,117,115,116,105,99,101,71,101,111,114,103,101,32,66,101,108,103, 105,117,109,46,46,46,60,47,97,62,116,119,105,116,116,101,114,110,111,116,97,98, 108,121,119,97,105,116,105,110,103,119,97,114,102,97,114,101,32,79,116,104,101, 114,32,114,97,110,107,105,110,103,112,104,114,97,115,101,115,109,101,110,116,105 ,111,110,115,117,114,118,105,118,101,115,99,104,111,108,97,114,60,47,112,62,13, 10,32,67,111,117,110,116,114,121,105,103,110,111,114,101,100,108,111,115,115,32, 111,102,106,117,115,116,32,97,115,71,101,111,114,103,105,97,115,116,114,97,110, 103,101,60,104,101,97,100,62,60,115,116,111,112,112,101,100,49,39,93,41,59,13,10 ,105,115,108,97,110,100,115,110,111,116,97,98,108,101,98,111,114,100,101,114,58, 108,105,115,116,32,111,102,99,97,114,114,105,101,100,49,48,48,44,48,48,48,60,47, 104,51,62,10,32,115,101,118,101,114,97,108,98,101,99,111,109,101,115,115,101,108 ,101,99,116,32,119,101,100,100,105,110,103,48,48,46,104,116,109,108,109,111,110, 97,114,99,104,111,102,102,32,116,104,101,116,101,97,99,104,101,114,104,105,103, 104,108,121,32,98,105,111,108,111,103,121,108,105,102,101,32,111,102,111,114,32, 101,118,101,110,114,105,115,101,32,111,102,38,114,97,113,117,111,59,112,108,117, 115,111,110,101,104,117,110,116,105,110,103,40,116,104,111,117,103,104,68,111, 117,103,108,97,115,106,111,105,110,105,110,103,99,105,114,99,108,101,115,70,111, 114,32,116,104,101,65,110,99,105,101,110,116,86,105,101,116,110,97,109,118,101, 104,105,99,108,101,115,117,99,104,32,97,115,99,114,121,115,116,97,108,118,97,108 ,117,101,32,61,87,105,110,100,111,119,115,101,110,106,111,121,101,100,97,32,115, 109,97,108,108,97,115,115,117,109,101,100,60,97,32,105,100,61,34,102,111,114,101 ,105,103,110,32,65,108,108,32,114,105,104,111,119,32,116,104,101,68,105,115,112, 108,97,121,114,101,116,105,114,101,100,104,111,119,101,118,101,114,104,105,100, 100,101,110,59,98,97,116,116,108,101,115,115,101,101,107,105,110,103,99,97,98, 105,110,101,116,119,97,115,32,110,111,116,108,111,111,107,32,97,116,99,111,110, 100,117,99,116,103,101,116,32,116,104,101,74,97,110,117,97,114,121,104,97,112, 112,101,110,115,116,117,114,110,105,110,103,97,58,104,111,118,101,114,79,110,108 ,105,110,101,32,70,114,101,110,99,104,32,108,97,99,107,105,110,103,116,121,112, 105,99,97,108,101,120,116,114,97,99,116,101,110,101,109,105,101,115,101,118,101, 110,32,105,102,103,101,110,101,114,97,116,100,101,99,105,100,101,100,97,114,101, 32,110,111,116,47,115,101,97,114,99,104,98,101,108,105,101,102,115,45,105,109,97 ,103,101,58,108,111,99,97,116,101,100,115,116,97,116,105,99,46,108,111,103,105, 110,34,62,99,111,110,118,101,114,116,118,105,111,108,101,110,116,101,110,116,101 ,114,101,100,102,105,114,115,116,34,62,99,105,114,99,117,105,116,70,105,110,108, 97,110,100,99,104,101,109,105,115,116,115,104,101,32,119,97,115,49,48,112,120,59 ,34,62,97,115,32,115,117,99,104,100,105,118,105,100,101,100,60,47,115,112,97,110 ,62,119,105,108,108,32,98,101,108,105,110,101,32,111,102,97,32,103,114,101,97, 116,109,121,115,116,101,114,121,47,105,110,100,101,120,46,102,97,108,108,105,110 ,103,100,117,101,32,116,111,32,114,97,105,108,119,97,121,99,111,108,108,101,103, 101,109,111,110,115,116,101,114,100,101,115,99,101,110,116,105,116,32,119,105, 116,104,110,117,99,108,101,97,114,74,101,119,105,115,104,32,112,114,111,116,101, 115,116,66,114,105,116,105,115,104,102,108,111,119,101,114,115,112,114,101,100, 105,99,116,114,101,102,111,114,109,115,98,117,116,116,111,110,32,119,104,111,32, 119,97,115,108,101,99,116,117,114,101,105,110,115,116,97,110,116,115,117,105,99, 105,100,101,103,101,110,101,114,105,99,112,101,114,105,111,100,115,109,97,114, 107,101,116,115,83,111,99,105,97,108,32,102,105,115,104,105,110,103,99,111,109, 98,105,110,101,103,114,97,112,104,105,99,119,105,110,110,101,114,115,60,98,114, 32,47,62,60,98,121,32,116,104,101,32,78,97,116,117,114,97,108,80,114,105,118,97, 99,121,99,111,111,107,105,101,115,111,117,116,99,111,109,101,114,101,115,111,108 ,118,101,83,119,101,100,105,115,104,98,114,105,101,102,108,121,80,101,114,115, 105,97,110,115,111,32,109,117,99,104,67,101,110,116,117,114,121,100,101,112,105, 99,116,115,99,111,108,117,109,110,115,104,111,117,115,105,110,103,115,99,114,105 ,112,116,115,110,101,120,116,32,116,111,98,101,97,114,105,110,103,109,97,112,112 ,105,110,103,114,101,118,105,115,101,100,106,81,117,101,114,121,40,45,119,105, 100,116,104,58,116,105,116,108,101,34,62,116,111,111,108,116,105,112,83,101,99, 116,105,111,110,100,101,115,105,103,110,115,84,117,114,107,105,115,104,121,111, 117,110,103,101,114,46,109,97,116,99,104,40,125,41,40,41,59,10,10,98,117,114,110 ,105,110,103,111,112,101,114,97,116,101,100,101,103,114,101,101,115,115,111,117, 114,99,101,61,82,105,99,104,97,114,100,99,108,111,115,101,108,121,112,108,97,115 ,116,105,99,101,110,116,114,105,101,115,60,47,116,114,62,13,10,99,111,108,111, 114,58,35,117,108,32,105,100,61,34,112,111,115,115,101,115,115,114,111,108,108, 105,110,103,112,104,121,115,105,99,115,102,97,105,108,105,110,103,101,120,101,99 ,117,116,101,99,111,110,116,101,115,116,108,105,110,107,32,116,111,68,101,102,97 ,117,108,116,60,98,114,32,47,62,10,58,32,116,114,117,101,44,99,104,97,114,116, 101,114,116,111,117,114,105,115,109,99,108,97,115,115,105,99,112,114,111,99,101, 101,100,101,120,112,108,97,105,110,60,47,104,49,62,13,10,111,110,108,105,110,101 ,46,63,120,109,108,32,118,101,104,101,108,112,105,110,103,100,105,97,109,111,110 ,100,117,115,101,32,116,104,101,97,105,114,108,105,110,101,101,110,100,32,45,45, 62,41,46,97,116,116,114,40,114,101,97,100,101,114,115,104,111,115,116,105,110, 103,35,102,102,102,102,102,102,114,101,97,108,105,122,101,86,105,110,99,101,110, 116,115,105,103,110,97,108,115,32,115,114,99,61,34,47,80,114,111,100,117,99,116, 100,101,115,112,105,116,101,100,105,118,101,114,115,101,116,101,108,108,105,110, 103,80,117,98,108,105,99,32,104,101,108,100,32,105,110,74,111,115,101,112,104,32 ,116,104,101,97,116,114,101,97,102,102,101,99,116,115,60,115,116,121,108,101,62, 97,32,108,97,114,103,101,100,111,101,115,110,39,116,108,97,116,101,114,44,32,69, 108,101,109,101,110,116,102,97,118,105,99,111,110,99,114,101,97,116,111,114,72, 117,110,103,97,114,121,65,105,114,112,111,114,116,115,101,101,32,116,104,101,115 ,111,32,116,104,97,116,77,105,99,104,97,101,108,83,121,115,116,101,109,115,80, 114,111,103,114,97,109,115,44,32,97,110,100,32,32,119,105,100,116,104,61,101,38, 113,117,111,116,59,116,114,97,100,105,110,103,108,101,102,116,34,62,10,112,101, 114,115,111,110,115,71,111,108,100,101,110,32,65,102,102,97,105,114,115,103,114, 97,109,109,97,114,102,111,114,109,105,110,103,100,101,115,116,114,111,121,105, 100,101,97,32,111,102,99,97,115,101,32,111,102,111,108,100,101,115,116,32,116, 104,105,115,32,105,115,46,115,114,99,32,61,32,99,97,114,116,111,111,110,114,101, 103,105,115,116,114,67,111,109,109,111,110,115,77,117,115,108,105,109,115,87,104 ,97,116,32,105,115,105,110,32,109,97,110,121,109,97,114,107,105,110,103,114,101, 118,101,97,108,115,73,110,100,101,101,100,44,101,113,117,97,108,108,121,47,115, 104,111,119,95,97,111,117,116,100,111,111,114,101,115,99,97,112,101,40,65,117, 115,116,114,105,97,103,101,110,101,116,105,99,115,121,115,116,101,109,44,73,110, 32,116,104,101,32,115,105,116,116,105,110,103,72,101,32,97,108,115,111,73,115, 108,97,110,100,115,65,99,97,100,101,109,121,10,9,9,60,33,45,45,68,97,110,105,101 ,108,32,98,105,110,100,105,110,103,98,108,111,99,107,34,62,105,109,112,111,115, 101,100,117,116,105,108,105,122,101,65,98,114,97,104,97,109,40,101,120,99,101, 112,116,123,119,105,100,116,104,58,112,117,116,116,105,110,103,41,46,104,116,109 ,108,40,124,124,32,91,93,59,10,68,65,84,65,91,32,42,107,105,116,99,104,101,110, 109,111,117,110,116,101,100,97,99,116,117,97,108,32,100,105,97,108,101,99,116, 109,97,105,110,108,121,32,95,98,108,97,110,107,39,105,110,115,116,97,108,108,101 ,120,112,101,114,116,115,105,102,40,116,121,112,101,73,116,32,97,108,115,111,38, 99,111,112,121,59,32,34,62,84,101,114,109,115,98,111,114,110,32,105,110,79,112, 116,105,111,110,115,101,97,115,116,101,114,110,116,97,108,107,105,110,103,99,111 ,110,99,101,114,110,103,97,105,110,101,100,32,111,110,103,111,105,110,103,106, 117,115,116,105,102,121,99,114,105,116,105,99,115,102,97,99,116,111,114,121,105, 116,115,32,111,119,110,97,115,115,97,117,108,116,105,110,118,105,116,101,100,108 ,97,115,116,105,110,103,104,105,115,32,111,119,110,104,114,101,102,61,34,47,34, 32,114,101,108,61,34,100,101,118,101,108,111,112,99,111,110,99,101,114,116,100, 105,97,103,114,97,109,100,111,108,108,97,114,115,99,108,117,115,116,101,114,112, 104,112,63,105,100,61,97,108,99,111,104,111,108,41,59,125,41,40,41,59,117,115, 105,110,103,32,97,62,60,115,112,97,110,62,118,101,115,115,101,108,115,114,101, 118,105,118,97,108,65,100,100,114,101,115,115,97,109,97,116,101,117,114,97,110, 100,114,111,105,100,97,108,108,101,103,101,100,105,108,108,110,101,115,115,119, 97,108,107,105,110,103,99,101,110,116,101,114,115,113,117,97,108,105,102,121,109 ,97,116,99,104,101,115,117,110,105,102,105,101,100,101,120,116,105,110,99,116,68 ,101,102,101,110,115,101,100,105,101,100,32,105,110,10,9,60,33,45,45,32,99,117, 115,116,111,109,115,108,105,110,107,105,110,103,76,105,116,116,108,101,32,66,111 ,111,107,32,111,102,101,118,101,110,105,110,103,109,105,110,46,106,115,63,97,114 ,101,32,116,104,101,107,111,110,116,97,107,116,116,111,100,97,121,39,115,46,104, 116,109,108,34,32,116,97,114,103,101,116,61,119,101,97,114,105,110,103,65,108, 108,32,82,105,103,59,10,125,41,40,41,59,114,97,105,115,105,110,103,32,65,108,115 ,111,44,32,99,114,117,99,105,97,108,97,98,111,117,116,34,62,100,101,99,108,97, 114,101,45,45,62,10,60,115,99,102,105,114,101,102,111,120,97,115,32,109,117,99, 104,97,112,112,108,105,101,115,105,110,100,101,120,44,32,115,44,32,98,117,116,32 ,116,121,112,101,32,61,32,10,13,10,60,33,45,45,116,111,119,97,114,100,115,82,101 ,99,111,114,100,115,80,114,105,118,97,116,101,70,111,114,101,105,103,110,80,114, 101,109,105,101,114,99,104,111,105,99,101,115,86,105,114,116,117,97,108,114,101, 116,117,114,110,115,67,111,109,109,101,110,116,80,111,119,101,114,101,100,105, 110,108,105,110,101,59,112,111,118,101,114,116,121,99,104,97,109,98,101,114,76, 105,118,105,110,103,32,118,111,108,117,109,101,115,65,110,116,104,111,110,121, 108,111,103,105,110,34,32,82,101,108,97,116,101,100,69,99,111,110,111,109,121, 114,101,97,99,104,101,115,99,117,116,116,105,110,103,103,114,97,118,105,116,121, 108,105,102,101,32,105,110,67,104,97,112,116,101,114,45,115,104,97,100,111,119, 78,111,116,97,98,108,101,60,47,116,100,62,13,10,32,114,101,116,117,114,110,115, 116,97,100,105,117,109,119,105,100,103,101,116,115,118,97,114,121,105,110,103, 116,114,97,118,101,108,115,104,101,108,100,32,98,121,119,104,111,32,97,114,101, 119,111,114,107,32,105,110,102,97,99,117,108,116,121,97,110,103,117,108,97,114, 119,104,111,32,104,97,100,97,105,114,112,111,114,116,116,111,119,110,32,111,102, 10,10,83,111,109,101,32,39,99,108,105,99,107,39,99,104,97,114,103,101,115,107, 101,121,119,111,114,100,105,116,32,119,105,108,108,99,105,116,121,32,111,102,40, 116,104,105,115,41,59,65,110,100,114,101,119,32,117,110,105,113,117,101,32,99, 104,101,99,107,101,100,111,114,32,109,111,114,101,51,48,48,112,120,59,32,114,101 ,116,117,114,110,59,114,115,105,111,110,61,34,112,108,117,103,105,110,115,119, 105,116,104,105,110,32,104,101,114,115,101,108,102,83,116,97,116,105,111,110,70, 101,100,101,114,97,108,118,101,110,116,117,114,101,112,117,98,108,105,115,104, 115,101,110,116,32,116,111,116,101,110,115,105,111,110,97,99,116,114,101,115,115 ,99,111,109,101,32,116,111,102,105,110,103,101,114,115,68,117,107,101,32,111,102 ,112,101,111,112,108,101,44,101,120,112,108,111,105,116,119,104,97,116,32,105, 115,104,97,114,109,111,110,121,97,32,109,97,106,111,114,34,58,34,104,116,116,112 ,105,110,32,104,105,115,32,109,101,110,117,34,62,10,109,111,110,116,104,108,121, 111,102,102,105,99,101,114,99,111,117,110,99,105,108,103,97,105,110,105,110,103, 101,118,101,110,32,105,110,83,117,109,109,97,114,121,100,97,116,101,32,111,102, 108,111,121,97,108,116,121,102,105,116,110,101,115,115,97,110,100,32,119,97,115, 101,109,112,101,114,111,114,115,117,112,114,101,109,101,83,101,99,111,110,100,32 ,104,101,97,114,105,110,103,82,117,115,115,105,97,110,108,111,110,103,101,115, 116,65,108,98,101,114,116,97,108,97,116,101,114,97,108,115,101,116,32,111,102,32 ,115,109,97,108,108,34,62,46,97,112,112,101,110,100,100,111,32,119,105,116,104, 102,101,100,101,114,97,108,98,97,110,107,32,111,102,98,101,110,101,97,116,104,68 ,101,115,112,105,116,101,67,97,112,105,116,97,108,103,114,111,117,110,100,115,41 ,44,32,97,110,100,32,112,101,114,99,101,110,116,105,116,32,102,114,111,109,99, 108,111,115,105,110,103,99,111,110,116,97,105,110,73,110,115,116,101,97,100,102, 105,102,116,101,101,110,97,115,32,119,101,108,108,46,121,97,104,111,111,46,114, 101,115,112,111,110,100,102,105,103,104,116,101,114,111,98,115,99,117,114,101, 114,101,102,108,101,99,116,111,114,103,97,110,105,99,61,32,77,97,116,104,46,101, 100,105,116,105,110,103,111,110,108,105,110,101,32,112,97,100,100,105,110,103,97 ,32,119,104,111,108,101,111,110,101,114,114,111,114,121,101,97,114,32,111,102, 101,110,100,32,111,102,32,98,97,114,114,105,101,114,119,104,101,110,32,105,116, 104,101,97,100,101,114,32,104,111,109,101,32,111,102,114,101,115,117,109,101,100 ,114,101,110,97,109,101,100,115,116,114,111,110,103,62,104,101,97,116,105,110, 103,114,101,116,97,105,110,115,99,108,111,117,100,102,114,119,97,121,32,111,102, 32,77,97,114,99,104,32,49,107,110,111,119,105,110,103,105,110,32,112,97,114,116, 66,101,116,119,101,101,110,108,101,115,115,111,110,115,99,108,111,115,101,115, 116,118,105,114,116,117,97,108,108,105,110,107,115,34,62,99,114,111,115,115,101, 100,69,78,68,32,45,45,62,102,97,109,111,117,115,32,97,119,97,114,100,101,100,76, 105,99,101,110,115,101,72,101,97,108,116,104,32,102,97,105,114,108,121,32,119, 101,97,108,116,104,121,109,105,110,105,109,97,108,65,102,114,105,99,97,110,99, 111,109,112,101,116,101,108,97,98,101,108,34,62,115,105,110,103,105,110,103,102, 97,114,109,101,114,115,66,114,97,115,105,108,41,100,105,115,99,117,115,115,114, 101,112,108,97,99,101,71,114,101,103,111,114,121,102,111,110,116,32,99,111,112, 117,114,115,117,101,100,97,112,112,101,97,114,115,109,97,107,101,32,117,112,114, 111,117,110,100,101,100,98,111,116,104,32,111,102,98,108,111,99,107,101,100,115, 97,119,32,116,104,101,111,102,102,105,99,101,115,99,111,108,111,117,114,115,105, 102,40,100,111,99,117,119,104,101,110,32,104,101,101,110,102,111,114,99,101,112, 117,115,104,40,102,117,65,117,103,117,115,116,32,85,84,70,45,56,34,62,70,97,110, 116,97,115,121,105,110,32,109,111,115,116,105,110,106,117,114,101,100,85,115,117 ,97,108,108,121,102,97,114,109,105,110,103,99,108,111,115,117,114,101,111,98,106 ,101,99,116,32,100,101,102,101,110,99,101,117,115,101,32,111,102,32,77,101,100, 105,99,97,108,60,98,111,100,121,62,10,101,118,105,100,101,110,116,98,101,32,117, 115,101,100,107,101,121,67,111,100,101,115,105,120,116,101,101,110,73,115,108,97 ,109,105,99,35,48,48,48,48,48,48,101,110,116,105,114,101,32,119,105,100,101,108, 121,32,97,99,116,105,118,101,32,40,116,121,112,101,111,102,111,110,101,32,99,97, 110,99,111,108,111,114,32,61,115,112,101,97,107,101,114,101,120,116,101,110,100, 115,80,104,121,115,105,99,115,116,101,114,114,97,105,110,60,116,98,111,100,121, 62,102,117,110,101,114,97,108,118,105,101,119,105,110,103,109,105,100,100,108, 101,32,99,114,105,99,107,101,116,112,114,111,112,104,101,116,115,104,105,102,116 ,101,100,100,111,99,116,111,114,115,82,117,115,115,101,108,108,32,116,97,114,103 ,101,116,99,111,109,112,97,99,116,97,108,103,101,98,114,97,115,111,99,105,97,108 ,45,98,117,108,107,32,111,102,109,97,110,32,97,110,100,60,47,116,100,62,10,32, 104,101,32,108,101,102,116,41,46,118,97,108,40,41,102,97,108,115,101,41,59,108, 111,103,105,99,97,108,98,97,110,107,105,110,103,104,111,109,101,32,116,111,110, 97,109,105,110,103,32,65,114,105,122,111,110,97,99,114,101,100,105,116,115,41,59 ,10,125,41,59,10,102,111,117,110,100,101,114,105,110,32,116,117,114,110,67,111, 108,108,105,110,115,98,101,102,111,114,101,32,66,117,116,32,116,104,101,99,104, 97,114,103,101,100,84,105,116,108,101,34,62,67,97,112,116,97,105,110,115,112,101 ,108,108,101,100,103,111,100,100,101,115,115,84,97,103,32,45,45,62,65,100,100, 105,110,103,58,98,117,116,32,119,97,115,82,101,99,101,110,116,32,112,97,116,105, 101,110,116,98,97,99,107,32,105,110,61,102,97,108,115,101,38,76,105,110,99,111, 108,110,119,101,32,107,110,111,119,67,111,117,110,116,101,114,74,117,100,97,105, 115,109,115,99,114,105,112,116,32,97,108,116,101,114,101,100,39,93,41,59,10,32, 32,104,97,115,32,116,104,101,117,110,99,108,101,97,114,69,118,101,110,116,39,44, 98,111,116,104,32,105,110,110,111,116,32,97,108,108,10,10,60,33,45,45,32,112,108 ,97,99,105,110,103,104,97,114,100,32,116,111,32,99,101,110,116,101,114,115,111, 114,116,32,111,102,99,108,105,101,110,116,115,115,116,114,101,101,116,115,66,101 ,114,110,97,114,100,97,115,115,101,114,116,115,116,101,110,100,32,116,111,102,97 ,110,116,97,115,121,100,111,119,110,32,105,110,104,97,114,98,111,117,114,70,114, 101,101,100,111,109,106,101,119,101,108,114,121,47,97,98,111,117,116,46,46,115, 101,97,114,99,104,108,101,103,101,110,100,115,105,115,32,109,97,100,101,109,111, 100,101,114,110,32,111,110,108,121,32,111,110,111,110,108,121,32,116,111,105,109 ,97,103,101,34,32,108,105,110,101,97,114,32,112,97,105,110,116,101,114,97,110, 100,32,110,111,116,114,97,114,101,108,121,32,97,99,114,111,110,121,109,100,101, 108,105,118,101,114,115,104,111,114,116,101,114,48,48,38,97,109,112,59,97,115,32 ,109,97,110,121,119,105,100,116,104,61,34,47,42,32,60,33,91,67,116,105,116,108, 101,32,61,111,102,32,116,104,101,32,108,111,119,101,115,116,32,112,105,99,107, 101,100,32,101,115,99,97,112,101,100,117,115,101,115,32,111,102,112,101,111,112, 108,101,115,32,80,117,98,108,105,99,77,97,116,116,104,101,119,116,97,99,116,105, 99,115,100,97,109,97,103,101,100,119,97,121,32,102,111,114,108,97,119,115,32,111 ,102,101,97,115,121,32,116,111,32,119,105,110,100,111,119,115,116,114,111,110, 103,32,32,115,105,109,112,108,101,125,99,97,116,99,104,40,115,101,118,101,110, 116,104,105,110,102,111,98,111,120,119,101,110,116,32,116,111,112,97,105,110,116 ,101,100,99,105,116,105,122,101,110,73,32,100,111,110,39,116,114,101,116,114,101 ,97,116,46,32,83,111,109,101,32,119,119,46,34,41,59,10,98,111,109,98,105,110,103 ,109,97,105,108,116,111,58,109,97,100,101,32,105,110,46,32,77,97,110,121,32,99, 97,114,114,105,101,115,124,124,123,125,59,119,105,119,111,114,107,32,111,102,115 ,121,110,111,110,121,109,100,101,102,101,97,116,115,102,97,118,111,114,101,100, 111,112,116,105,99,97,108,112,97,103,101,84,114,97,117,110,108,101,115,115,32, 115,101,110,100,105,110,103,108,101,102,116,34,62,60,99,111,109,83,99,111,114,65 ,108,108,32,116,104,101,106,81,117,101,114,121,46,116,111,117,114,105,115,116,67 ,108,97,115,115,105,99,102,97,108,115,101,34,32,87,105,108,104,101,108,109,115, 117,98,117,114,98,115,103,101,110,117,105,110,101,98,105,115,104,111,112,115,46, 115,112,108,105,116,40,103,108,111,98,97,108,32,102,111,108,108,111,119,115,98, 111,100,121,32,111,102,110,111,109,105,110,97,108,67,111,110,116,97,99,116,115, 101,99,117,108,97,114,108,101,102,116,32,116,111,99,104,105,101,102,108,121,45, 104,105,100,100,101,110,45,98,97,110,110,101,114,60,47,108,105,62,10,10,46,32,87 ,104,101,110,32,105,110,32,98,111,116,104,100,105,115,109,105,115,115,69,120,112 ,108,111,114,101,97,108,119,97,121,115,32,118,105,97,32,116,104,101,115,112,97, 195,177,111,108,119,101,108,102,97,114,101,114,117,108,105,110,103,32,97,114,114 ,97,110,103,101,99,97,112,116,97,105,110,104,105,115,32,115,111,110,114,117,108, 101,32,111,102,104,101,32,116,111,111,107,105,116,115,101,108,102,44,61,48,38,97 ,109,112,59,40,99,97,108,108,101,100,115,97,109,112,108,101,115,116,111,32,109, 97,107,101,99,111,109,47,112,97,103,77,97,114,116,105,110,32,75,101,110,110,101, 100,121,97,99,99,101,112,116,115,102,117,108,108,32,111,102,104,97,110,100,108, 101,100,66,101,115,105,100,101,115,47,47,45,45,62,60,47,97,98,108,101,32,116,111 ,116,97,114,103,101,116,115,101,115,115,101,110,99,101,104,105,109,32,116,111,32 ,105,116,115,32,98,121,32,99,111,109,109,111,110,46,109,105,110,101,114,97,108, 116,111,32,116,97,107,101,119,97,121,115,32,116,111,115,46,111,114,103,47,108,97 ,100,118,105,115,101,100,112,101,110,97,108,116,121,115,105,109,112,108,101,58, 105,102,32,116,104,101,121,76,101,116,116,101,114,115,97,32,115,104,111,114,116, 72,101,114,98,101,114,116,115,116,114,105,107,101,115,32,103,114,111,117,112,115 ,46,108,101,110,103,116,104,102,108,105,103,104,116,115,111,118,101,114,108,97, 112,115,108,111,119,108,121,32,108,101,115,115,101,114,32,115,111,99,105,97,108, 32,60,47,112,62,10,9,9,105,116,32,105,110,116,111,114,97,110,107,101,100,32,114, 97,116,101,32,111,102,117,108,62,13,10,32,32,97,116,116,101,109,112,116,112,97, 105,114,32,111,102,109,97,107,101,32,105,116,75,111,110,116,97,107,116,65,110, 116,111,110,105,111,104,97,118,105,110,103,32,114,97,116,105,110,103,115,32,97, 99,116,105,118,101,115,116,114,101,97,109,115,116,114,97,112,112,101,100,34,41, 46,99,115,115,40,104,111,115,116,105,108,101,108,101,97,100,32,116,111,108,105, 116,116,108,101,32,103,114,111,117,112,115,44,80,105,99,116,117,114,101,45,45,62 ,13,10,13,10,32,114,111,119,115,61,34,32,111,98,106,101,99,116,105,110,118,101, 114,115,101,60,102,111,111,116,101,114,67,117,115,116,111,109,86,62,60,92,47,115 ,99,114,115,111,108,118,105,110,103,67,104,97,109,98,101,114,115,108,97,118,101, 114,121,119,111,117,110,100,101,100,119,104,101,114,101,97,115,33,61,32,39,117, 110,100,102,111,114,32,97,108,108,112,97,114,116,108,121,32,45,114,105,103,104, 116,58,65,114,97,98,105,97,110,98,97,99,107,101,100,32,99,101,110,116,117,114, 121,117,110,105,116,32,111,102,109,111,98,105,108,101,45,69,117,114,111,112,101, 44,105,115,32,104,111,109,101,114,105,115,107,32,111,102,100,101,115,105,114,101 ,100,67,108,105,110,116,111,110,99,111,115,116,32,111,102,97,103,101,32,111,102, 32,98,101,99,111,109,101,32,110,111,110,101,32,111,102,112,38,113,117,111,116,59 ,77,105,100,100,108,101,32,101,97,100,39,41,91,48,67,114,105,116,105,99,115,115, 116,117,100,105,111,115,62,38,99,111,112,121,59,103,114,111,117,112,34,62,97,115 ,115,101,109,98,108,109,97,107,105,110,103,32,112,114,101,115,115,101,100,119, 105,100,103,101,116,46,112,115,58,34,32,63,32,114,101,98,117,105,108,116,98,121, 32,115,111,109,101,70,111,114,109,101,114,32,101,100,105,116,111,114,115,100,101 ,108,97,121,101,100,67,97,110,111,110,105,99,104,97,100,32,116,104,101,112,117, 115,104,105,110,103,99,108,97,115,115,61,34,98,117,116,32,97,114,101,112,97,114, 116,105,97,108,66,97,98,121,108,111,110,98,111,116,116,111,109,32,99,97,114,114, 105,101,114,67,111,109,109,97,110,100,105,116,115,32,117,115,101,65,115,32,119, 105,116,104,99,111,117,114,115,101,115,97,32,116,104,105,114,100,100,101,110,111 ,116,101,115,97,108,115,111,32,105,110,72,111,117,115,116,111,110,50,48,112,120, 59,34,62,97,99,99,117,115,101,100,100,111,117,98,108,101,32,103,111,97,108,32, 111,102,70,97,109,111,117,115,32,41,46,98,105,110,100,40,112,114,105,101,115,116 ,115,32,79,110,108,105,110,101,105,110,32,74,117,108,121,115,116,32,43,32,34,103 ,99,111,110,115,117,108,116,100,101,99,105,109,97,108,104,101,108,112,102,117, 108,114,101,118,105,118,101,100,105,115,32,118,101,114,121,114,39,43,39,105,112, 116,108,111,115,105,110,103,32,102,101,109,97,108,101,115,105,115,32,97,108,115, 111,115,116,114,105,110,103,115,100,97,121,115,32,111,102,97,114,114,105,118,97, 108,102,117,116,117,114,101,32,60,111,98,106,101,99,116,102,111,114,99,105,110, 103,83,116,114,105,110,103,40,34,32,47,62,10,9,9,104,101,114,101,32,105,115,101, 110,99,111,100,101,100,46,32,32,84,104,101,32,98,97,108,108,111,111,110,100,111, 110,101,32,98,121,47,99,111,109,109,111,110,98,103,99,111,108,111,114,108,97,119 ,32,111,102,32,73,110,100,105,97,110,97,97,118,111,105,100,101,100,98,117,116,32 ,116,104,101,50,112,120,32,51,112,120,106,113,117,101,114,121,46,97,102,116,101, 114,32,97,112,111,108,105,99,121,46,109,101,110,32,97,110,100,102,111,111,116, 101,114,45,61,32,116,114,117,101,59,102,111,114,32,117,115,101,115,99,114,101, 101,110,46,73,110,100,105,97,110,32,105,109,97,103,101,32,61,102,97,109,105,108, 121,44,104,116,116,112,58,47,47,32,38,110,98,115,112,59,100,114,105,118,101,114, 115,101,116,101,114,110,97,108,115,97,109,101,32,97,115,110,111,116,105,99,101, 100,118,105,101,119,101,114,115,125,41,40,41,59,10,32,105,115,32,109,111,114,101 ,115,101,97,115,111,110,115,102,111,114,109,101,114,32,116,104,101,32,110,101, 119,105,115,32,106,117,115,116,99,111,110,115,101,110,116,32,83,101,97,114,99, 104,119,97,115,32,116,104,101,119,104,121,32,116,104,101,115,104,105,112,112,101 ,100,98,114,62,60,98,114,62,119,105,100,116,104,58,32,104,101,105,103,104,116,61 ,109,97,100,101,32,111,102,99,117,105,115,105,110,101,105,115,32,116,104,97,116, 97,32,118,101,114,121,32,65,100,109,105,114,97,108,32,102,105,120,101,100,59,110 ,111,114,109,97,108,32,77,105,115,115,105,111,110,80,114,101,115,115,44,32,111, 110,116,97,114,105,111,99,104,97,114,115,101,116,116,114,121,32,116,111,32,105, 110,118,97,100,101,100,61,34,116,114,117,101,34,115,112,97,99,105,110,103,105, 115,32,109,111,115,116,97,32,109,111,114,101,32,116,111,116,97,108,108,121,102, 97,108,108,32,111,102,125,41,59,13,10,32,32,105,109,109,101,110,115,101,116,105, 109,101,32,105,110,115,101,116,32,111,117,116,115,97,116,105,115,102,121,116,111 ,32,102,105,110,100,100,111,119,110,32,116,111,108,111,116,32,111,102,32,80,108, 97,121,101,114,115,105,110,32,74,117,110,101,113,117,97,110,116,117,109,110,111, 116,32,116,104,101,116,105,109,101,32,116,111,100,105,115,116,97,110,116,70,105, 110,110,105,115,104,115,114,99,32,61,32,40,115,105,110,103,108,101,32,104,101, 108,112,32,111,102,71,101,114,109,97,110,32,108,97,119,32,97,110,100,108,97,98, 101,108,101,100,102,111,114,101,115,116,115,99,111,111,107,105,110,103,115,112, 97,99,101,34,62,104,101,97,100,101,114,45,119,101,108,108,32,97,115,83,116,97, 110,108,101,121,98,114,105,100,103,101,115,47,103,108,111,98,97,108,67,114,111, 97,116,105,97,32,65,98,111,117,116,32,91,48,93,59,10,32,32,105,116,44,32,97,110, 100,103,114,111,117,112,101,100,98,101,105,110,103,32,97,41,123,116,104,114,111, 119,104,101,32,109,97,100,101,108,105,103,104,116,101,114,101,116,104,105,99,97, 108,70,70,70,70,70,70,34,98,111,116,116,111,109,34,108,105,107,101,32,97,32,101, 109,112,108,111,121,115,108,105,118,101,32,105,110,97,115,32,115,101,101,110,112 ,114,105,110,116,101,114,109,111,115,116,32,111,102,117,98,45,108,105,110,107, 114,101,106,101,99,116,115,97,110,100,32,117,115,101,105,109,97,103,101,34,62, 115,117,99,99,101,101,100,102,101,101,100,105,110,103,78,117,99,108,101,97,114, 105,110,102,111,114,109,97,116,111,32,104,101,108,112,87,111,109,101,110,39,115, 78,101,105,116,104,101,114,77,101,120,105,99,97,110,112,114,111,116,101,105,110, 60,116,97,98,108,101,32,98,121,32,109,97,110,121,104,101,97,108,116,104,121,108, 97,119,115,117,105,116,100,101,118,105,115,101,100,46,112,117,115,104,40,123,115 ,101,108,108,101,114,115,115,105,109,112,108,121,32,84,104,114,111,117,103,104, 46,99,111,111,107,105,101,32,73,109,97,103,101,40,111,108,100,101,114,34,62,117, 115,46,106,115,34,62,32,83,105,110,99,101,32,117,110,105,118,101,114,115,108,97, 114,103,101,114,32,111,112,101,110,32,116,111,33,45,45,32,101,110,100,108,105, 101,115,32,105,110,39,93,41,59,13,10,32,32,109,97,114,107,101,116,119,104,111,32 ,105,115,32,40,34,68,79,77,67,111,109,97,110,97,103,101,100,111,110,101,32,102, 111,114,116,121,112,101,111,102,32,75,105,110,103,100,111,109,112,114,111,102, 105,116,115,112,114,111,112,111,115,101,116,111,32,115,104,111,119,99,101,110, 116,101,114,59,109,97,100,101,32,105,116,100,114,101,115,115,101,100,119,101,114 ,101,32,105,110,109,105,120,116,117,114,101,112,114,101,99,105,115,101,97,114, 105,115,105,110,103,115,114,99,32,61,32,39,109,97,107,101,32,97,32,115,101,99, 117,114,101,100,66,97,112,116,105,115,116,118,111,116,105,110,103,32,10,9,9,118, 97,114,32,77,97,114,99,104,32,50,103,114,101,119,32,117,112,67,108,105,109,97, 116,101,46,114,101,109,111,118,101,115,107,105,108,108,101,100,119,97,121,32,116 ,104,101,60,47,104,101,97,100,62,102,97,99,101,32,111,102,97,99,116,105,110,103, 32,114,105,103,104,116,34,62,116,111,32,119,111,114,107,114,101,100,117,99,101, 115,104,97,115,32,104,97,100,101,114,101,99,116,101,100,115,104,111,119,40,41,59 ,97,99,116,105,111,110,61,98,111,111,107,32,111,102,97,110,32,97,114,101,97,61, 61,32,34,104,116,116,60,104,101,97,100,101,114,10,60,104,116,109,108,62,99,111, 110,102,111,114,109,102,97,99,105,110,103,32,99,111,111,107,105,101,46,114,101, 108,121,32,111,110,104,111,115,116,101,100,32,46,99,117,115,116,111,109,104,101, 32,119,101,110,116,98,117,116,32,102,111,114,115,112,114,101,97,100,32,70,97,109 ,105,108,121,32,97,32,109,101,97,110,115,111,117,116,32,116,104,101,102,111,114, 117,109,115,46,102,111,111,116,97,103,101,34,62,77,111,98,105,108,67,108,101,109 ,101,110,116,115,34,32,105,100,61,34,97,115,32,104,105,103,104,105,110,116,101, 110,115,101,45,45,62,60,33,45,45,102,101,109,97,108,101,32,105,115,32,115,101, 101,110,105,109,112,108,105,101,100,115,101,116,32,116,104,101,97,32,115,116,97, 116,101,97,110,100,32,104,105,115,102,97,115,116,101,115,116,98,101,115,105,100, 101,115,98,117,116,116,111,110,95,98,111,117,110,100,101,100,34,62,60,105,109, 103,32,73,110,102,111,98,111,120,101,118,101,110,116,115,44,97,32,121,111,117, 110,103,97,110,100,32,97,114,101,78,97,116,105,118,101,32,99,104,101,97,112,101, 114,84,105,109,101,111,117,116,97,110,100,32,104,97,115,101,110,103,105,110,101, 115,119,111,110,32,116,104,101,40,109,111,115,116,108,121,114,105,103,104,116,58 ,32,102,105,110,100,32,97,32,45,98,111,116,116,111,109,80,114,105,110,99,101,32, 97,114,101,97,32,111,102,109,111,114,101,32,111,102,115,101,97,114,99,104,95,110 ,97,116,117,114,101,44,108,101,103,97,108,108,121,112,101,114,105,111,100,44,108 ,97,110,100,32,111,102,111,114,32,119,105,116,104,105,110,100,117,99,101,100,112 ,114,111,118,105,110,103,109,105,115,115,105,108,101,108,111,99,97,108,108,121, 65,103,97,105,110,115,116,116,104,101,32,119,97,121,107,38,113,117,111,116,59, 112,120,59,34,62,13,10,112,117,115,104,101,100,32,97,98,97,110,100,111,110,110, 117,109,101,114,97,108,67,101,114,116,97,105,110,73,110,32,116,104,105,115,109, 111,114,101,32,105,110,111,114,32,115,111,109,101,110,97,109,101,32,105,115,97, 110,100,44,32,105,110,99,114,111,119,110,101,100,73,83,66,78,32,48,45,99,114,101 ,97,116,101,115,79,99,116,111,98,101,114,109,97,121,32,110,111,116,99,101,110, 116,101,114,32,108,97,116,101,32,105,110,68,101,102,101,110,99,101,101,110,97,99 ,116,101,100,119,105,115,104,32,116,111,98,114,111,97,100,108,121,99,111,111,108 ,105,110,103,111,110,108,111,97,100,61,105,116,46,32,84,104,101,114,101,99,111, 118,101,114,77,101,109,98,101,114,115,104,101,105,103,104,116,32,97,115,115,117, 109,101,115,60,104,116,109,108,62,10,112,101,111,112,108,101,46,105,110,32,111, 110,101,32,61,119,105,110,100,111,119,102,111,111,116,101,114,95,97,32,103,111, 111,100,32,114,101,107,108,97,109,97,111,116,104,101,114,115,44,116,111,32,116, 104,105,115,95,99,111,111,107,105,101,112,97,110,101,108,34,62,76,111,110,100, 111,110,44,100,101,102,105,110,101,115,99,114,117,115,104,101,100,98,97,112,116, 105,115,109,99,111,97,115,116,97,108,115,116,97,116,117,115,32,116,105,116,108, 101,34,32,109,111,118,101,32,116,111,108,111,115,116,32,105,110,98,101,116,116, 101,114,32,105,109,112,108,105,101,115,114,105,118,97,108,114,121,115,101,114, 118,101,114,115,32,83,121,115,116,101,109,80,101,114,104,97,112,115,101,115,32, 97,110,100,32,99,111,110,116,101,110,100,102,108,111,119,105,110,103,108,97,115, 116,101,100,32,114,105,115,101,32,105,110,71,101,110,101,115,105,115,118,105,101 ,119,32,111,102,114,105,115,105,110,103,32,115,101,101,109,32,116,111,98,117,116 ,32,105,110,32,98,97,99,107,105,110,103,104,101,32,119,105,108,108,103,105,118, 101,110,32,97,103,105,118,105,110,103,32,99,105,116,105,101,115,46,102,108,111, 119,32,111,102,32,76,97,116,101,114,32,97,108,108,32,98,117,116,72,105,103,104, 119,97,121,111,110,108,121,32,98,121,115,105,103,110,32,111,102,104,101,32,100, 111,101,115,100,105,102,102,101,114,115,98,97,116,116,101,114,121,38,97,109,112, 59,108,97,115,105,110,103,108,101,115,116,104,114,101,97,116,115,105,110,116,101 ,103,101,114,116,97,107,101,32,111,110,114,101,102,117,115,101,100,99,97,108,108 ,101,100,32,61,85,83,38,97,109,112,83,101,101,32,116,104,101,110,97,116,105,118, 101,115,98,121,32,116,104,105,115,115,121,115,116,101,109,46,104,101,97,100,32, 111,102,58,104,111,118,101,114,44,108,101,115,98,105,97,110,115,117,114,110,97, 109,101,97,110,100,32,97,108,108,99,111,109,109,111,110,47,104,101,97,100,101, 114,95,95,112,97,114,97,109,115,72,97,114,118,97,114,100,47,112,105,120,101,108, 46,114,101,109,111,118,97,108,115,111,32,108,111,110,103,114,111,108,101,32,111, 102,106,111,105,110,116,108,121,115,107,121,115,99,114,97,85,110,105,99,111,100, 101,98,114,32,47,62,13,10,65,116,108,97,110,116,97,110,117,99,108,101,117,115,67 ,111,117,110,116,121,44,112,117,114,101,108,121,32,99,111,117,110,116,34,62,101, 97,115,105,108,121,32,98,117,105,108,100,32,97,111,110,99,108,105,99,107,97,32, 103,105,118,101,110,112,111,105,110,116,101,114,104,38,113,117,111,116,59,101, 118,101,110,116,115,32,101,108,115,101,32,123,10,100,105,116,105,111,110,115,110 ,111,119,32,116,104,101,44,32,119,105,116,104,32,109,97,110,32,119,104,111,111, 114,103,47,87,101,98,111,110,101,32,97,110,100,99,97,118,97,108,114,121,72,101, 32,100,105,101,100,115,101,97,116,116,108,101,48,48,44,48,48,48,32,123,119,105, 110,100,111,119,104,97,118,101,32,116,111,105,102,40,119,105,110,100,97,110,100, 32,105,116,115,115,111,108,101,108,121,32,109,38,113,117,111,116,59,114,101,110, 101,119,101,100,68,101,116,114,111,105,116,97,109,111,110,103,115,116,101,105, 116,104,101,114,32,116,104,101,109,32,105,110,83,101,110,97,116,111,114,85,115, 60,47,97,62,60,75,105,110,103,32,111,102,70,114,97,110,99,105,115,45,112,114,111 ,100,117,99,104,101,32,117,115,101,100,97,114,116,32,97,110,100,104,105,109,32, 97,110,100,117,115,101,100,32,98,121,115,99,111,114,105,110,103,97,116,32,104, 111,109,101,116,111,32,104,97,118,101,114,101,108,97,116,101,115,105,98,105,108, 105,116,121,102,97,99,116,105,111,110,66,117,102,102,97,108,111,108,105,110,107, 34,62,60,119,104,97,116,32,104,101,102,114,101,101,32,116,111,67,105,116,121,32, 111,102,99,111,109,101,32,105,110,115,101,99,116,111,114,115,99,111,117,110,116, 101,100,111,110,101,32,100,97,121,110,101,114,118,111,117,115,115,113,117,97,114 ,101,32,125,59,105,102,40,103,111,105,110,32,119,104,97,116,105,109,103,34,32,97 ,108,105,115,32,111,110,108,121,115,101,97,114,99,104,47,116,117,101,115,100,97, 121,108,111,111,115,101,108,121,83,111,108,111,109,111,110,115,101,120,117,97, 108,32,45,32,60,97,32,104,114,109,101,100,105,117,109,34,68,79,32,78,79,84,32,70 ,114,97,110,99,101,44,119,105,116,104,32,97,32,119,97,114,32,97,110,100,115,101, 99,111,110,100,32,116,97,107,101,32,97,32,62,13,10,13,10,13,10,109,97,114,107, 101,116,46,104,105,103,104,119,97,121,100,111,110,101,32,105,110,99,116,105,118, 105,116,121,34,108,97,115,116,34,62,111,98,108,105,103,101,100,114,105,115,101, 32,116,111,34,117,110,100,101,102,105,109,97,100,101,32,116,111,32,69,97,114,108 ,121,32,112,114,97,105,115,101,100,105,110,32,105,116,115,32,102,111,114,32,104, 105,115,97,116,104,108,101,116,101,74,117,112,105,116,101,114,89,97,104,111,111, 33,32,116,101,114,109,101,100,32,115,111,32,109,97,110,121,114,101,97,108,108, 121,32,115,46,32,84,104,101,32,97,32,119,111,109,97,110,63,118,97,108,117,101,61 ,100,105,114,101,99,116,32,114,105,103,104,116,34,32,98,105,99,121,99,108,101,97 ,99,105,110,103,61,34,100,97,121,32,97,110,100,115,116,97,116,105,110,103,82,97, 116,104,101,114,44,104,105,103,104,101,114,32,79,102,102,105,99,101,32,97,114, 101,32,110,111,119,116,105,109,101,115,44,32,119,104,101,110,32,97,32,112,97,121 ,32,102,111,114,111,110,32,116,104,105,115,45,108,105,110,107,34,62,59,98,111, 114,100,101,114,97,114,111,117,110,100,32,97,110,110,117,97,108,32,116,104,101, 32,78,101,119,112,117,116,32,116,104,101,46,99,111,109,34,32,116,97,107,105,110, 32,116,111,97,32,98,114,105,101,102,40,105,110,32,116,104,101,103,114,111,117, 112,115,46,59,32,119,105,100,116,104,101,110,122,121,109,101,115,115,105,109,112 ,108,101,32,105,110,32,108,97,116,101,123,114,101,116,117,114,110,116,104,101, 114,97,112,121,97,32,112,111,105,110,116,98,97,110,110,105,110,103,105,110,107, 115,34,62,10,40,41,59,34,32,114,101,97,32,112,108,97,99,101,92,117,48,48,51,67, 97,97,98,111,117,116,32,97,116,114,62,13,10,9,9,99,99,111,117,110,116,32,103,105 ,118,101,115,32,97,60,83,67,82,73,80,84,82,97,105,108,119,97,121,116,104,101,109 ,101,115,47,116,111,111,108,98,111,120,66,121,73,100,40,34,120,104,117,109,97, 110,115,44,119,97,116,99,104,101,115,105,110,32,115,111,109,101,32,105,102,32,40 ,119,105,99,111,109,105,110,103,32,102,111,114,109,97,116,115,32,85,110,100,101, 114,32,98,117,116,32,104,97,115,104,97,110,100,101,100,32,109,97,100,101,32,98, 121,116,104,97,110,32,105,110,102,101,97,114,32,111,102,100,101,110,111,116,101, 100,47,105,102,114,97,109,101,108,101,102,116,32,105,110,118,111,108,116,97,103, 101,105,110,32,101,97,99,104,97,38,113,117,111,116,59,98,97,115,101,32,111,102, 73,110,32,109,97,110,121,117,110,100,101,114,103,111,114,101,103,105,109,101,115 ,97,99,116,105,111,110,32,60,47,112,62,13,10,60,117,115,116,111,109,86,97,59,38, 103,116,59,60,47,105,109,112,111,114,116,115,111,114,32,116,104,97,116,109,111, 115,116,108,121,32,38,97,109,112,59,114,101,32,115,105,122,101,61,34,60,47,97,62 ,60,47,104,97,32,99,108,97,115,115,112,97,115,115,105,118,101,72,111,115,116,32, 61,32,87,104,101,116,104,101,114,102,101,114,116,105,108,101,86,97,114,105,111, 117,115,61,91,93,59,40,102,117,99,97,109,101,114,97,115,47,62,60,47,116,100,62, 97,99,116,115,32,97,115,73,110,32,115,111,109,101,62,13,10,13,10,60,33,111,114, 103,97,110,105,115,32,60,98,114,32,47,62,66,101,105,106,105,110,103,99,97,116,97 ,108,195,160,100,101,117,116,115,99,104,101,117,114,111,112,101,117,101,117,115, 107,97,114,97,103,97,101,105,108,103,101,115,118,101,110,115,107,97,101,115,112, 97,195,177,97,109,101,110,115,97,106,101,117,115,117,97,114,105,111,116,114,97, 98,97,106,111,109,195,169,120,105,99,111,112,195,161,103,105,110,97,115,105,101, 109,112,114,101,115,105,115,116,101,109,97,111,99,116,117,98,114,101,100,117,114 ,97,110,116,101,97,195,177,97,100,105,114,101,109,112,114,101,115,97,109,111,109 ,101,110,116,111,110,117,101,115,116,114,111,112,114,105,109,101,114,97,116,114, 97,118,195,169,115,103,114,97,99,105,97,115,110,117,101,115,116,114,97,112,114, 111,99,101,115,111,101,115,116,97,100,111,115,99,97,108,105,100,97,100,112,101, 114,115,111,110,97,110,195,186,109,101,114,111,97,99,117,101,114,100,111,109,195 ,186,115,105,99,97,109,105,101,109,98,114,111,111,102,101,114,116,97,115,97,108, 103,117,110,111,115,112,97,195,173,115,101,115,101,106,101,109,112,108,111,100, 101,114,101,99,104,111,97,100,101,109,195,161,115,112,114,105,118,97,100,111,97, 103,114,101,103,97,114,101,110,108,97,99,101,115,112,111,115,105,98,108,101,104, 111,116,101,108,101,115,115,101,118,105,108,108,97,112,114,105,109,101,114,111, 195,186,108,116,105,109,111,101,118,101,110,116,111,115,97,114,99,104,105,118, 111,99,117,108,116,117,114,97,109,117,106,101,114,101,115,101,110,116,114,97,100 ,97,97,110,117,110,99,105,111,101,109,98,97,114,103,111,109,101,114,99,97,100, 111,103,114,97,110,100,101,115,101,115,116,117,100,105,111,109,101,106,111,114, 101,115,102,101,98,114,101,114,111,100,105,115,101,195,177,111,116,117,114,105, 115,109,111,99,195,179,100,105,103,111,112,111,114,116,97,100,97,101,115,112,97, 99,105,111,102,97,109,105,108,105,97,97,110,116,111,110,105,111,112,101,114,109, 105,116,101,103,117,97,114,100,97,114,97,108,103,117,110,97,115,112,114,101,99, 105,111,115,97,108,103,117,105,101,110,115,101,110,116,105,100,111,118,105,115, 105,116,97,115,116,195,173,116,117,108,111,99,111,110,111,99,101,114,115,101,103 ,117,110,100,111,99,111,110,115,101,106,111,102,114,97,110,99,105,97,109,105,110 ,117,116,111,115,115,101,103,117,110,100,97,116,101,110,101,109,111,115,101,102, 101,99,116,111,115,109,195,161,108,97,103,97,115,101,115,105,195,179,110,114,101 ,118,105,115,116,97,103,114,97,110,97,100,97,99,111,109,112,114,97,114,105,110, 103,114,101,115,111,103,97,114,99,195,173,97,97,99,99,105,195,179,110,101,99,117 ,97,100,111,114,113,117,105,101,110,101,115,105,110,99,108,117,115,111,100,101, 98,101,114,195,161,109,97,116,101,114,105,97,104,111,109,98,114,101,115,109,117, 101,115,116,114,97,112,111,100,114,195,173,97,109,97,195,177,97,110,97,195,186, 108,116,105,109,97,101,115,116,97,109,111,115,111,102,105,99,105,97,108,116,97, 109,98,105,101,110,110,105,110,103,195,186,110,115,97,108,117,100,111,115,112, 111,100,101,109,111,115,109,101,106,111,114,97,114,112,111,115,105,116,105,111, 110,98,117,115,105,110,101,115,115,104,111,109,101,112,97,103,101,115,101,99,117 ,114,105,116,121,108,97,110,103,117,97,103,101,115,116,97,110,100,97,114,100,99, 97,109,112,97,105,103,110,102,101,97,116,117,114,101,115,99,97,116,101,103,111, 114,121,101,120,116,101,114,110,97,108,99,104,105,108,100,114,101,110,114,101, 115,101,114,118,101,100,114,101,115,101,97,114,99,104,101,120,99,104,97,110,103, 101,102,97,118,111,114,105,116,101,116,101,109,112,108,97,116,101,109,105,108, 105,116,97,114,121,105,110,100,117,115,116,114,121,115,101,114,118,105,99,101, 115,109,97,116,101,114,105,97,108,112,114,111,100,117,99,116,115,122,45,105,110, 100,101,120,58,99,111,109,109,101,110,116,115,115,111,102,116,119,97,114,101,99, 111,109,112,108,101,116,101,99,97,108,101,110,100,97,114,112,108,97,116,102,111, 114,109,97,114,116,105,99,108,101,115,114,101,113,117,105,114,101,100,109,111, 118,101,109,101,110,116,113,117,101,115,116,105,111,110,98,117,105,108,100,105, 110,103,112,111,108,105,116,105,99,115,112,111,115,115,105,98,108,101,114,101, 108,105,103,105,111,110,112,104,121,115,105,99,97,108,102,101,101,100,98,97,99, 107,114,101,103,105,115,116,101,114,112,105,99,116,117,114,101,115,100,105,115, 97,98,108,101,100,112,114,111,116,111,99,111,108,97,117,100,105,101,110,99,101, 115,101,116,116,105,110,103,115,97,99,116,105,118,105,116,121,101,108,101,109, 101,110,116,115,108,101,97,114,110,105,110,103,97,110,121,116,104,105,110,103,97 ,98,115,116,114,97,99,116,112,114,111,103,114,101,115,115,111,118,101,114,118, 105,101,119,109,97,103,97,122,105,110,101,101,99,111,110,111,109,105,99,116,114, 97,105,110,105,110,103,112,114,101,115,115,117,114,101,118,97,114,105,111,117, 115,32,60,115,116,114,111,110,103,62,112,114,111,112,101,114,116,121,115,104,111 ,112,112,105,110,103,116,111,103,101,116,104,101,114,97,100,118,97,110,99,101, 100,98,101,104,97,118,105,111,114,100,111,119,110,108,111,97,100,102,101,97,116, 117,114,101,100,102,111,111,116,98,97,108,108,115,101,108,101,99,116,101,100,76, 97,110,103,117,97,103,101,100,105,115,116,97,110,99,101,114,101,109,101,109,98, 101,114,116,114,97,99,107,105,110,103,112,97,115,115,119,111,114,100,109,111,100 ,105,102,105,101,100,115,116,117,100,101,110,116,115,100,105,114,101,99,116,108, 121,102,105,103,104,116,105,110,103,110,111,114,116,104,101,114,110,100,97,116, 97,98,97,115,101,102,101,115,116,105,118,97,108,98,114,101,97,107,105,110,103, 108,111,99,97,116,105,111,110,105,110,116,101,114,110,101,116,100,114,111,112, 100,111,119,110,112,114,97,99,116,105,99,101,101,118,105,100,101,110,99,101,102, 117,110,99,116,105,111,110,109,97,114,114,105,97,103,101,114,101,115,112,111,110 ,115,101,112,114,111,98,108,101,109,115,110,101,103,97,116,105,118,101,112,114, 111,103,114,97,109,115,97,110,97,108,121,115,105,115,114,101,108,101,97,115,101, 100,98,97,110,110,101,114,34,62,112,117,114,99,104,97,115,101,112,111,108,105,99 ,105,101,115,114,101,103,105,111,110,97,108,99,114,101,97,116,105,118,101,97,114 ,103,117,109,101,110,116,98,111,111,107,109,97,114,107,114,101,102,101,114,114, 101,114,99,104,101,109,105,99,97,108,100,105,118,105,115,105,111,110,99,97,108, 108,98,97,99,107,115,101,112,97,114,97,116,101,112,114,111,106,101,99,116,115,99 ,111,110,102,108,105,99,116,104,97,114,100,119,97,114,101,105,110,116,101,114, 101,115,116,100,101,108,105,118,101,114,121,109,111,117,110,116,97,105,110,111, 98,116,97,105,110,101,100,61,32,102,97,108,115,101,59,102,111,114,40,118,97,114, 32,97,99,99,101,112,116,101,100,99,97,112,97,99,105,116,121,99,111,109,112,117, 116,101,114,105,100,101,110,116,105,116,121,97,105,114,99,114,97,102,116,101,109 ,112,108,111,121,101,100,112,114,111,112,111,115,101,100,100,111,109,101,115,116 ,105,99,105,110,99,108,117,100,101,115,112,114,111,118,105,100,101,100,104,111, 115,112,105,116,97,108,118,101,114,116,105,99,97,108,99,111,108,108,97,112,115, 101,97,112,112,114,111,97,99,104,112,97,114,116,110,101,114,115,108,111,103,111, 34,62,60,97,100,97,117,103,104,116,101,114,97,117,116,104,111,114,34,32,99,117, 108,116,117,114,97,108,102,97,109,105,108,105,101,115,47,105,109,97,103,101,115, 47,97,115,115,101,109,98,108,121,112,111,119,101,114,102,117,108,116,101,97,99, 104,105,110,103,102,105,110,105,115,104,101,100,100,105,115,116,114,105,99,116, 99,114,105,116,105,99,97,108,99,103,105,45,98,105,110,47,112,117,114,112,111,115 ,101,115,114,101,113,117,105,114,101,115,101,108,101,99,116,105,111,110,98,101, 99,111,109,105,110,103,112,114,111,118,105,100,101,115,97,99,97,100,101,109,105, 99,101,120,101,114,99,105,115,101,97,99,116,117,97,108,108,121,109,101,100,105, 99,105,110,101,99,111,110,115,116,97,110,116,97,99,99,105,100,101,110,116,77,97, 103,97,122,105,110,101,100,111,99,117,109,101,110,116,115,116,97,114,116,105,110 ,103,98,111,116,116,111,109,34,62,111,98,115,101,114,118,101,100,58,32,38,113, 117,111,116,59,101,120,116,101,110,100,101,100,112,114,101,118,105,111,117,115, 83,111,102,116,119,97,114,101,99,117,115,116,111,109,101,114,100,101,99,105,115, 105,111,110,115,116,114,101,110,103,116,104,100,101,116,97,105,108,101,100,115, 108,105,103,104,116,108,121,112,108,97,110,110,105,110,103,116,101,120,116,97, 114,101,97,99,117,114,114,101,110,99,121,101,118,101,114,121,111,110,101,115,116 ,114,97,105,103,104,116,116,114,97,110,115,102,101,114,112,111,115,105,116,105, 118,101,112,114,111,100,117,99,101,100,104,101,114,105,116,97,103,101,115,104, 105,112,112,105,110,103,97,98,115,111,108,117,116,101,114,101,99,101,105,118,101 ,100,114,101,108,101,118,97,110,116,98,117,116,116,111,110,34,32,118,105,111,108 ,101,110,99,101,97,110,121,119,104,101,114,101,98,101,110,101,102,105,116,115, 108,97,117,110,99,104,101,100,114,101,99,101,110,116,108,121,97,108,108,105,97, 110,99,101,102,111,108,108,111,119,101,100,109,117,108,116,105,112,108,101,98, 117,108,108,101,116,105,110,105,110,99,108,117,100,101,100,111,99,99,117,114,114 ,101,100,105,110,116,101,114,110,97,108,36,40,116,104,105,115,41,46,114,101,112, 117,98,108,105,99,62,60,116,114,62,60,116,100,99,111,110,103,114,101,115,115,114 ,101,99,111,114,100,101,100,117,108,116,105,109,97,116,101,115,111,108,117,116, 105,111,110,60,117,108,32,105,100,61,34,100,105,115,99,111,118,101,114,72,111, 109,101,60,47,97,62,119,101,98,115,105,116,101,115,110,101,116,119,111,114,107, 115,97,108,116,104,111,117,103,104,101,110,116,105,114,101,108,121,109,101,109, 111,114,105,97,108,109,101,115,115,97,103,101,115,99,111,110,116,105,110,117,101 ,97,99,116,105,118,101,34,62,115,111,109,101,119,104,97,116,118,105,99,116,111, 114,105,97,87,101,115,116,101,114,110,32,32,116,105,116,108,101,61,34,76,111,99, 97,116,105,111,110,99,111,110,116,114,97,99,116,118,105,115,105,116,111,114,115, 68,111,119,110,108,111,97,100,119,105,116,104,111,117,116,32,114,105,103,104,116 ,34,62,10,109,101,97,115,117,114,101,115,119,105,100,116,104,32,61,32,118,97,114 ,105,97,98,108,101,105,110,118,111,108,118,101,100,118,105,114,103,105,110,105, 97,110,111,114,109,97,108,108,121,104,97,112,112,101,110,101,100,97,99,99,111, 117,110,116,115,115,116,97,110,100,105,110,103,110,97,116,105,111,110,97,108,82, 101,103,105,115,116,101,114,112,114,101,112,97,114,101,100,99,111,110,116,114, 111,108,115,97,99,99,117,114,97,116,101,98,105,114,116,104,100,97,121,115,116, 114,97,116,101,103,121,111,102,102,105,99,105,97,108,103,114,97,112,104,105,99, 115,99,114,105,109,105,110,97,108,112,111,115,115,105,98,108,121,99,111,110,115, 117,109,101,114,80,101,114,115,111,110,97,108,115,112,101,97,107,105,110,103,118 ,97,108,105,100,97,116,101,97,99,104,105,101,118,101,100,46,106,112,103,34,32,47 ,62,109,97,99,104,105,110,101,115,60,47,104,50,62,10,32,32,107,101,121,119,111, 114,100,115,102,114,105,101,110,100,108,121,98,114,111,116,104,101,114,115,99, 111,109,98,105,110,101,100,111,114,105,103,105,110,97,108,99,111,109,112,111,115 ,101,100,101,120,112,101,99,116,101,100,97,100,101,113,117,97,116,101,112,97,107 ,105,115,116,97,110,102,111,108,108,111,119,34,32,118,97,108,117,97,98,108,101, 60,47,108,97,98,101,108,62,114,101,108,97,116,105,118,101,98,114,105,110,103,105 ,110,103,105,110,99,114,101,97,115,101,103,111,118,101,114,110,111,114,112,108, 117,103,105,110,115,47,76,105,115,116,32,111,102,32,72,101,97,100,101,114,34,62, 34,32,110,97,109,101,61,34,32,40,38,113,117,111,116,59,103,114,97,100,117,97,116 ,101,60,47,104,101,97,100,62,10,99,111,109,109,101,114,99,101,109,97,108,97,121, 115,105,97,100,105,114,101,99,116,111,114,109,97,105,110,116,97,105,110,59,104, 101,105,103,104,116,58,115,99,104,101,100,117,108,101,99,104,97,110,103,105,110, 103,98,97,99,107,32,116,111,32,99,97,116,104,111,108,105,99,112,97,116,116,101, 114,110,115,99,111,108,111,114,58,32,35,103,114,101,97,116,101,115,116,115,117, 112,112,108,105,101,115,114,101,108,105,97,98,108,101,60,47,117,108,62,10,9,9,60 ,115,101,108,101,99,116,32,99,105,116,105,122,101,110,115,99,108,111,116,104,105 ,110,103,119,97,116,99,104,105,110,103,60,108,105,32,105,100,61,34,115,112,101, 99,105,102,105,99,99,97,114,114,121,105,110,103,115,101,110,116,101,110,99,101, 60,99,101,110,116,101,114,62,99,111,110,116,114,97,115,116,116,104,105,110,107, 105,110,103,99,97,116,99,104,40,101,41,115,111,117,116,104,101,114,110,77,105,99 ,104,97,101,108,32,109,101,114,99,104,97,110,116,99,97,114,111,117,115,101,108, 112,97,100,100,105,110,103,58,105,110,116,101,114,105,111,114,46,115,112,108,105 ,116,40,34,108,105,122,97,116,105,111,110,79,99,116,111,98,101,114,32,41,123,114 ,101,116,117,114,110,105,109,112,114,111,118,101,100,45,45,38,103,116,59,10,10, 99,111,118,101,114,97,103,101,99,104,97,105,114,109,97,110,46,112,110,103,34,32, 47,62,115,117,98,106,101,99,116,115,82,105,99,104,97,114,100,32,119,104,97,116, 101,118,101,114,112,114,111,98,97,98,108,121,114,101,99,111,118,101,114,121,98, 97,115,101,98,97,108,108,106,117,100,103,109,101,110,116,99,111,110,110,101,99, 116,46,46,99,115,115,34,32,47,62,32,119,101,98,115,105,116,101,114,101,112,111, 114,116,101,100,100,101,102,97,117,108,116,34,47,62,60,47,97,62,13,10,101,108, 101,99,116,114,105,99,115,99,111,116,108,97,110,100,99,114,101,97,116,105,111, 110,113,117,97,110,116,105,116,121,46,32,73,83,66,78,32,48,100,105,100,32,110, 111,116,32,105,110,115,116,97,110,99,101,45,115,101,97,114,99,104,45,34,32,108, 97,110,103,61,34,115,112,101,97,107,101,114,115,67,111,109,112,117,116,101,114, 99,111,110,116,97,105,110,115,97,114,99,104,105,118,101,115,109,105,110,105,115, 116,101,114,114,101,97,99,116,105,111,110,100,105,115,99,111,117,110,116,73,116, 97,108,105,97,110,111,99,114,105,116,101,114,105,97,115,116,114,111,110,103,108, 121,58,32,39,104,116,116,112,58,39,115,99,114,105,112,116,39,99,111,118,101,114, 105,110,103,111,102,102,101,114,105,110,103,97,112,112,101,97,114,101,100,66,114 ,105,116,105,115,104,32,105,100,101,110,116,105,102,121,70,97,99,101,98,111,111, 107,110,117,109,101,114,111,117,115,118,101,104,105,99,108,101,115,99,111,110,99 ,101,114,110,115,65,109,101,114,105,99,97,110,104,97,110,100,108,105,110,103,100 ,105,118,32,105,100,61,34,87,105,108,108,105,97,109,32,112,114,111,118,105,100, 101,114,95,99,111,110,116,101,110,116,97,99,99,117,114,97,99,121,115,101,99,116, 105,111,110,32,97,110,100,101,114,115,111,110,102,108,101,120,105,98,108,101,67, 97,116,101,103,111,114,121,108,97,119,114,101,110,99,101,60,115,99,114,105,112, 116,62,108,97,121,111,117,116,61,34,97,112,112,114,111,118,101,100,32,109,97,120 ,105,109,117,109,104,101,97,100,101,114,34,62,60,47,116,97,98,108,101,62,83,101, 114,118,105,99,101,115,104,97,109,105,108,116,111,110,99,117,114,114,101,110,116 ,32,99,97,110,97,100,105,97,110,99,104,97,110,110,101,108,115,47,116,104,101,109 ,101,115,47,47,97,114,116,105,99,108,101,111,112,116,105,111,110,97,108,112,111, 114,116,117,103,97,108,118,97,108,117,101,61,34,34,105,110,116,101,114,118,97, 108,119,105,114,101,108,101,115,115,101,110,116,105,116,108,101,100,97,103,101, 110,99,105,101,115,83,101,97,114,99,104,34,32,109,101,97,115,117,114,101,100,116 ,104,111,117,115,97,110,100,115,112,101,110,100,105,110,103,38,104,101,108,108, 105,112,59,110,101,119,32,68,97,116,101,34,32,115,105,122,101,61,34,112,97,103, 101,78,97,109,101,109,105,100,100,108,101,34,32,34,32,47,62,60,47,97,62,104,105, 100,100,101,110,34,62,115,101,113,117,101,110,99,101,112,101,114,115,111,110,97, 108,111,118,101,114,102,108,111,119,111,112,105,110,105,111,110,115,105,108,108, 105,110,111,105,115,108,105,110,107,115,34,62,10,9,60,116,105,116,108,101,62,118 ,101,114,115,105,111,110,115,115,97,116,117,114,100,97,121,116,101,114,109,105, 110,97,108,105,116,101,109,112,114,111,112,101,110,103,105,110,101,101,114,115, 101,99,116,105,111,110,115,100,101,115,105,103,110,101,114,112,114,111,112,111, 115,97,108,61,34,102,97,108,115,101,34,69,115,112,97,195,177,111,108,114,101,108 ,101,97,115,101,115,115,117,98,109,105,116,34,32,101,114,38,113,117,111,116,59, 97,100,100,105,116,105,111,110,115,121,109,112,116,111,109,115,111,114,105,101, 110,116,101,100,114,101,115,111,117,114,99,101,114,105,103,104,116,34,62,60,112, 108,101,97,115,117,114,101,115,116,97,116,105,111,110,115,104,105,115,116,111, 114,121,46,108,101,97,118,105,110,103,32,32,98,111,114,100,101,114,61,99,111,110 ,116,101,110,116,115,99,101,110,116,101,114,34,62,46,10,10,83,111,109,101,32,100 ,105,114,101,99,116,101,100,115,117,105,116,97,98,108,101,98,117,108,103,97,114, 105,97,46,115,104,111,119,40,41,59,100,101,115,105,103,110,101,100,71,101,110, 101,114,97,108,32,99,111,110,99,101,112,116,115,69,120,97,109,112,108,101,115, 119,105,108,108,105,97,109,115,79,114,105,103,105,110,97,108,34,62,60,115,112,97 ,110,62,115,101,97,114,99,104,34,62,111,112,101,114,97,116,111,114,114,101,113, 117,101,115,116,115,97,32,38,113,117,111,116,59,97,108,108,111,119,105,110,103, 68,111,99,117,109,101,110,116,114,101,118,105,115,105,111,110,46,32,10,10,84,104 ,101,32,121,111,117,114,115,101,108,102,67,111,110,116,97,99,116,32,109,105,99, 104,105,103,97,110,69,110,103,108,105,115,104,32,99,111,108,117,109,98,105,97, 112,114,105,111,114,105,116,121,112,114,105,110,116,105,110,103,100,114,105,110, 107,105,110,103,102,97,99,105,108,105,116,121,114,101,116,117,114,110,101,100,67 ,111,110,116,101,110,116,32,111,102,102,105,99,101,114,115,82,117,115,115,105,97 ,110,32,103,101,110,101,114,97,116,101,45,56,56,53,57,45,49,34,105,110,100,105, 99,97,116,101,102,97,109,105,108,105,97,114,32,113,117,97,108,105,116,121,109,97 ,114,103,105,110,58,48,32,99,111,110,116,101,110,116,118,105,101,119,112,111,114 ,116,99,111,110,116,97,99,116,115,45,116,105,116,108,101,34,62,112,111,114,116, 97,98,108,101,46,108,101,110,103,116,104,32,101,108,105,103,105,98,108,101,105, 110,118,111,108,118,101,115,97,116,108,97,110,116,105,99,111,110,108,111,97,100, 61,34,100,101,102,97,117,108,116,46,115,117,112,112,108,105,101,100,112,97,121, 109,101,110,116,115,103,108,111,115,115,97,114,121,10,10,65,102,116,101,114,32, 103,117,105,100,97,110,99,101,60,47,116,100,62,60,116,100,101,110,99,111,100,105 ,110,103,109,105,100,100,108,101,34,62,99,97,109,101,32,116,111,32,100,105,115, 112,108,97,121,115,115,99,111,116,116,105,115,104,106,111,110,97,116,104,97,110, 109,97,106,111,114,105,116,121,119,105,100,103,101,116,115,46,99,108,105,110,105 ,99,97,108,116,104,97,105,108,97,110,100,116,101,97,99,104,101,114,115,60,104, 101,97,100,62,10,9,97,102,102,101,99,116,101,100,115,117,112,112,111,114,116,115 ,112,111,105,110,116,101,114,59,116,111,83,116,114,105,110,103,60,47,115,109,97, 108,108,62,111,107,108,97,104,111,109,97,119,105,108,108,32,98,101,32,105,110, 118,101,115,116,111,114,48,34,32,97,108,116,61,34,104,111,108,105,100,97,121,115 ,82,101,115,111,117,114,99,101,108,105,99,101,110,115,101,100,32,40,119,104,105, 99,104,32,46,32,65,102,116,101,114,32,99,111,110,115,105,100,101,114,118,105,115 ,105,116,105,110,103,101,120,112,108,111,114,101,114,112,114,105,109,97,114,121, 32,115,101,97,114,99,104,34,32,97,110,100,114,111,105,100,34,113,117,105,99,107, 108,121,32,109,101,101,116,105,110,103,115,101,115,116,105,109,97,116,101,59,114 ,101,116,117,114,110,32,59,99,111,108,111,114,58,35,32,104,101,105,103,104,116, 61,97,112,112,114,111,118,97,108,44,32,38,113,117,111,116,59,32,99,104,101,99, 107,101,100,46,109,105,110,46,106,115,34,109,97,103,110,101,116,105,99,62,60,47, 97,62,60,47,104,102,111,114,101,99,97,115,116,46,32,87,104,105,108,101,32,116, 104,117,114,115,100,97,121,100,118,101,114,116,105,115,101,38,101,97,99,117,116, 101,59,104,97,115,67,108,97,115,115,101,118,97,108,117,97,116,101,111,114,100, 101,114,105,110,103,101,120,105,115,116,105,110,103,112,97,116,105,101,110,116, 115,32,79,110,108,105,110,101,32,99,111,108,111,114,97,100,111,79,112,116,105, 111,110,115,34,99,97,109,112,98,101,108,108,60,33,45,45,32,101,110,100,60,47,115 ,112,97,110,62,60,60,98,114,32,47,62,13,10,95,112,111,112,117,112,115,124,115,99 ,105,101,110,99,101,115,44,38,113,117,111,116,59,32,113,117,97,108,105,116,121, 32,87,105,110,100,111,119,115,32,97,115,115,105,103,110,101,100,104,101,105,103, 104,116,58,32,60,98,32,99,108,97,115,115,108,101,38,113,117,111,116,59,32,118,97 ,108,117,101,61,34,32,67,111,109,112,97,110,121,101,120,97,109,112,108,101,115, 60,105,102,114,97,109,101,32,98,101,108,105,101,118,101,115,112,114,101,115,101, 110,116,115,109,97,114,115,104,97,108,108,112,97,114,116,32,111,102,32,112,114, 111,112,101,114,108,121,41,46,10,10,84,104,101,32,116,97,120,111,110,111,109,121 ,109,117,99,104,32,111,102,32,60,47,115,112,97,110,62,10,34,32,100,97,116,97,45, 115,114,116,117,103,117,195,170,115,115,99,114,111,108,108,84,111,32,112,114,111 ,106,101,99,116,60,104,101,97,100,62,13,10,97,116,116,111,114,110,101,121,101, 109,112,104,97,115,105,115,115,112,111,110,115,111,114,115,102,97,110,99,121,98, 111,120,119,111,114,108,100,39,115,32,119,105,108,100,108,105,102,101,99,104,101 ,99,107,101,100,61,115,101,115,115,105,111,110,115,112,114,111,103,114,97,109, 109,112,120,59,102,111,110,116,45,32,80,114,111,106,101,99,116,106,111,117,114, 110,97,108,115,98,101,108,105,101,118,101,100,118,97,99,97,116,105,111,110,116, 104,111,109,112,115,111,110,108,105,103,104,116,105,110,103,97,110,100,32,116, 104,101,32,115,112,101,99,105,97,108,32,98,111,114,100,101,114,61,48,99,104,101, 99,107,105,110,103,60,47,116,98,111,100,121,62,60,98,117,116,116,111,110,32,67, 111,109,112,108,101,116,101,99,108,101,97,114,102,105,120,10,60,104,101,97,100, 62,10,97,114,116,105,99,108,101,32,60,115,101,99,116,105,111,110,102,105,110,100 ,105,110,103,115,114,111,108,101,32,105,110,32,112,111,112,117,108,97,114,32,32, 79,99,116,111,98,101,114,119,101,98,115,105,116,101,32,101,120,112,111,115,117, 114,101,117,115,101,100,32,116,111,32,32,99,104,97,110,103,101,115,111,112,101, 114,97,116,101,100,99,108,105,99,107,105,110,103,101,110,116,101,114,105,110,103 ,99,111,109,109,97,110,100,115,105,110,102,111,114,109,101,100,32,110,117,109,98 ,101,114,115,32,32,60,47,100,105,118,62,99,114,101,97,116,105,110,103,111,110,83 ,117,98,109,105,116,109,97,114,121,108,97,110,100,99,111,108,108,101,103,101,115 ,97,110,97,108,121,116,105,99,108,105,115,116,105,110,103,115,99,111,110,116,97, 99,116,46,108,111,103,103,101,100,73,110,97,100,118,105,115,111,114,121,115,105, 98,108,105,110,103,115,99,111,110,116,101,110,116,34,115,38,113,117,111,116,59, 41,115,46,32,84,104,105,115,32,112,97,99,107,97,103,101,115,99,104,101,99,107,98 ,111,120,115,117,103,103,101,115,116,115,112,114,101,103,110,97,110,116,116,111, 109,111,114,114,111,119,115,112,97,99,105,110,103,61,105,99,111,110,46,112,110, 103,106,97,112,97,110,101,115,101,99,111,100,101,98,97,115,101,98,117,116,116, 111,110,34,62,103,97,109,98,108,105,110,103,115,117,99,104,32,97,115,32,44,32, 119,104,105,108,101,32,60,47,115,112,97,110,62,32,109,105,115,115,111,117,114, 105,115,112,111,114,116,105,110,103,116,111,112,58,49,112,120,32,46,60,47,115, 112,97,110,62,116,101,110,115,105,111,110,115,119,105,100,116,104,61,34,50,108, 97,122,121,108,111,97,100,110,111,118,101,109,98,101,114,117,115,101,100,32,105, 110,32,104,101,105,103,104,116,61,34,99,114,105,112,116,34,62,10,38,110,98,115, 112,59,60,47,60,116,114,62,60,116,100,32,104,101,105,103,104,116,58,50,47,112, 114,111,100,117,99,116,99,111,117,110,116,114,121,32,105,110,99,108,117,100,101, 32,102,111,111,116,101,114,34,32,38,108,116,59,33,45,45,32,116,105,116,108,101, 34,62,60,47,106,113,117,101,114,121,46,60,47,102,111,114,109,62,10,40,231,174, 128,228,189,147,41,40,231,185,129,233,171,148,41,104,114,118,97,116,115,107,105, 105,116,97,108,105,97,110,111,114,111,109,195,162,110,196,131,116,195,188,114, 107,195,167,101,216,167,216,177,216,175,217,136,116,97,109,98,105,195,169,110, 110,111,116,105,99,105,97,115,109,101,110,115,97,106,101,115,112,101,114,115,111 ,110,97,115,100,101,114,101,99,104,111,115,110,97,99,105,111,110,97,108,115,101, 114,118,105,99,105,111,99,111,110,116,97,99,116,111,117,115,117,97,114,105,111, 115,112,114,111,103,114,97,109,97,103,111,98,105,101,114,110,111,101,109,112,114 ,101,115,97,115,97,110,117,110,99,105,111,115,118,97,108,101,110,99,105,97,99, 111,108,111,109,98,105,97,100,101,115,112,117,195,169,115,100,101,112,111,114, 116,101,115,112,114,111,121,101,99,116,111,112,114,111,100,117,99,116,111,112, 195,186,98,108,105,99,111,110,111,115,111,116,114,111,115,104,105,115,116,111, 114,105,97,112,114,101,115,101,110,116,101,109,105,108,108,111,110,101,115,109, 101,100,105,97,110,116,101,112,114,101,103,117,110,116,97,97,110,116,101,114,105 ,111,114,114,101,99,117,114,115,111,115,112,114,111,98,108,101,109,97,115,97,110 ,116,105,97,103,111,110,117,101,115,116,114,111,115,111,112,105,110,105,195,179, 110,105,109,112,114,105,109,105,114,109,105,101,110,116,114,97,115,97,109,195, 169,114,105,99,97,118,101,110,100,101,100,111,114,115,111,99,105,101,100,97,100, 114,101,115,112,101,99,116,111,114,101,97,108,105,122,97,114,114,101,103,105,115 ,116,114,111,112,97,108,97,98,114,97,115,105,110,116,101,114,195,169,115,101,110 ,116,111,110,99,101,115,101,115,112,101,99,105,97,108,109,105,101,109,98,114,111 ,115,114,101,97,108,105,100,97,100,99,195,179,114,100,111,98,97,122,97,114,97, 103,111,122,97,112,195,161,103,105,110,97,115,115,111,99,105,97,108,101,115,98, 108,111,113,117,101,97,114,103,101,115,116,105,195,179,110,97,108,113,117,105, 108,101,114,115,105,115,116,101,109,97,115,99,105,101,110,99,105,97,115,99,111, 109,112,108,101,116,111,118,101,114,115,105,195,179,110,99,111,109,112,108,101, 116,97,101,115,116,117,100,105,111,115,112,195,186,98,108,105,99,97,111,98,106, 101,116,105,118,111,97,108,105,99,97,110,116,101,98,117,115,99,97,100,111,114,99 ,97,110,116,105,100,97,100,101,110,116,114,97,100,97,115,97,99,99,105,111,110, 101,115,97,114,99,104,105,118,111,115,115,117,112,101,114,105,111,114,109,97,121 ,111,114,195,173,97,97,108,101,109,97,110,105,97,102,117,110,99,105,195,179,110, 195,186,108,116,105,109,111,115,104,97,99,105,101,110,100,111,97,113,117,101,108 ,108,111,115,101,100,105,99,105,195,179,110,102,101,114,110,97,110,100,111,97, 109,98,105,101,110,116,101,102,97,99,101,98,111,111,107,110,117,101,115,116,114, 97,115,99,108,105,101,110,116,101,115,112,114,111,99,101,115,111,115,98,97,115, 116,97,110,116,101,112,114,101,115,101,110,116,97,114,101,112,111,114,116,97,114 ,99,111,110,103,114,101,115,111,112,117,98,108,105,99,97,114,99,111,109,101,114, 99,105,111,99,111,110,116,114,97,116,111,106,195,179,118,101,110,101,115,100,105 ,115,116,114,105,116,111,116,195,169,99,110,105,99,97,99,111,110,106,117,110,116 ,111,101,110,101,114,103,195,173,97,116,114,97,98,97,106,97,114,97,115,116,117, 114,105,97,115,114,101,99,105,101,110,116,101,117,116,105,108,105,122,97,114,98, 111,108,101,116,195,173,110,115,97,108,118,97,100,111,114,99,111,114,114,101,99, 116,97,116,114,97,98,97,106,111,115,112,114,105,109,101,114,111,115,110,101,103, 111,99,105,111,115,108,105,98,101,114,116,97,100,100,101,116,97,108,108,101,115, 112,97,110,116,97,108,108,97,112,114,195,179,120,105,109,111,97,108,109,101,114, 195,173,97,97,110,105,109,97,108,101,115,113,117,105,195,169,110,101,115,99,111, 114,97,122,195,179,110,115,101,99,99,105,195,179,110,98,117,115,99,97,110,100, 111,111,112,99,105,111,110,101,115,101,120,116,101,114,105,111,114,99,111,110,99 ,101,112,116,111,116,111,100,97,118,195,173,97,103,97,108,101,114,195,173,97,101 ,115,99,114,105,98,105,114,109,101,100,105,99,105,110,97,108,105,99,101,110,99, 105,97,99,111,110,115,117,108,116,97,97,115,112,101,99,116,111,115,99,114,195, 173,116,105,99,97,100,195,179,108,97,114,101,115,106,117,115,116,105,99,105,97, 100,101,98,101,114,195,161,110,112,101,114,195,173,111,100,111,110,101,99,101, 115,105,116,97,109,97,110,116,101,110,101,114,112,101,113,117,101,195,177,111, 114,101,99,105,98,105,100,97,116,114,105,98,117,110,97,108,116,101,110,101,114, 105,102,101,99,97,110,99,105,195,179,110,99,97,110,97,114,105,97,115,100,101,115 ,99,97,114,103,97,100,105,118,101,114,115,111,115,109,97,108,108,111,114,99,97, 114,101,113,117,105,101,114,101,116,195,169,99,110,105,99,111,100,101,98,101,114 ,195,173,97,118,105,118,105,101,110,100,97,102,105,110,97,110,122,97,115,97,100, 101,108,97,110,116,101,102,117,110,99,105,111,110,97,99,111,110,115,101,106,111, 115,100,105,102,195,173,99,105,108,99,105,117,100,97,100,101,115,97,110,116,105, 103,117,97,115,97,118,97,110,122,97,100,97,116,195,169,114,109,105,110,111,117, 110,105,100,97,100,101,115,115,195,161,110,99,104,101,122,99,97,109,112,97,195, 177,97,115,111,102,116,111,110,105,99,114,101,118,105,115,116,97,115,99,111,110, 116,105,101,110,101,115,101,99,116,111,114,101,115,109,111,109,101,110,116,111, 115,102,97,99,117,108,116,97,100,99,114,195,169,100,105,116,111,100,105,118,101, 114,115,97,115,115,117,112,117,101,115,116,111,102,97,99,116,111,114,101,115,115 ,101,103,117,110,100,111,115,112,101,113,117,101,195,177,97,208,179,208,190,208, 180,208,176,208,181,209,129,208,187,208,184,208,181,209,129,209,130,209,140,208, 177,209,139,208,187,208,190,208,177,209,139,209,130,209,140,209,141,209,130,208, 190,208,188,208,149,209,129,208,187,208,184,209,130,208,190,208,179,208,190,208, 188,208,181,208,189,209,143,208,178,209,129,208,181,209,133,209,141,209,130,208, 190,208,185,208,180,208,176,208,182,208,181,208,177,209,139,208,187,208,184,208, 179,208,190,208,180,209,131,208,180,208,181,208,189,209,140,209,141,209,130,208, 190,209,130,208,177,209,139,208,187,208,176,209,129,208,181,208,177,209,143,208, 190,208,180,208,184,208,189,209,129,208,181,208,177,208,181,208,189,208,176,208, 180,208,190,209,129,208,176,208,185,209,130,209,132,208,190,209,130,208,190,208, 189,208,181,208,179,208,190,209,129,208,178,208,190,208,184,209,129,208,178,208, 190,208,185,208,184,208,179,209,128,209,139,209,130,208,190,208,182,208,181,208, 178,209,129,208,181,208,188,209,129,208,178,208,190,209,142,208,187,208,184,209, 136,209,140,209,141,209,130,208,184,209,133,208,191,208,190,208,186,208,176,208, 180,208,189,208,181,208,185,208,180,208,190,208,188,208,176,208,188,208,184,209, 128,208,176,208,187,208,184,208,177,208,190,209,130,208,181,208,188,209,131,209, 133,208,190,209,130,209,143,208,180,208,178,209,131,209,133,209,129,208,181,209, 130,208,184,208,187,209,142,208,180,208,184,208,180,208,181,208,187,208,190,208, 188,208,184,209,128,208,181,209,130,208,181,208,177,209,143,209,129,208,178,208, 190,208,181,208,178,208,184,208,180,208,181,209,135,208,181,208,179,208,190,209, 141,209,130,208,184,208,188,209,129,209,135,208,181,209,130,209,130,208,181,208, 188,209,139,209,134,208,181,208,189,209,139,209,129,209,130,208,176,208,187,208, 178,208,181,208,180,209,140,209,130,208,181,208,188,208,181,208,178,208,190,208, 180,209,139,209,130,208,181,208,177,208,181,208,178,209,139,209,136,208,181,208, 189,208,176,208,188,208,184,209,130,208,184,208,191,208,176,209,130,208,190,208, 188,209,131,208,191,209,128,208,176,208,178,208,187,208,184,209,134,208,176,208, 190,208,180,208,189,208,176,208,179,208,190,208,180,209,139,208,183,208,189,208, 176,209,142,208,188,208,190,208,179,209,131,208,180,209,128,209,131,208,179,208, 178,209,129,208,181,208,185,208,184,208,180,208,181,209,130,208,186,208,184,208, 189,208,190,208,190,208,180,208,189,208,190,208,180,208,181,208,187,208,176,208, 180,208,181,208,187,208,181,209,129,209,128,208,190,208,186,208,184,209,142,208, 189,209,143,208,178,208,181,209,129,209,140,208,149,209,129,209,130,209,140,209, 128,208,176,208,183,208,176,208,189,208,176,209,136,208,184,216,167,217,132,217, 132,217,135,216,167,217,132,216,170,217,138,216,172,217,133,217,138,216,185,216, 174,216,167,216,181,216,169,216,167,217,132,216,176,217,138,216,185,217,132,217, 138,217,135,216,172,216,175,217,138,216,175,216,167,217,132,216,162,217,134,216, 167,217,132,216,177,216,175,216,170,216,173,217,131,217,133,216,181,217,129,216, 173,216,169,217,131,216,167,217,134,216,170,216,167,217,132,217,132,217,138,217, 138,217,131,217,136,217,134,216,180,216,168,217,131,216,169,217,129,217,138,217, 135,216,167,216,168,217,134,216,167,216,170,216,173,217,136,216,167,216,161,216, 163,217,131,216,171,216,177,216,174,217,132,216,167,217,132,216,167,217,132,216, 173,216,168,216,175,217,132,217,138,217,132,216,175,216,177,217,136,216,179,216, 167,216,182,216,186,216,183,216,170,217,131,217,136,217,134,217,135,217,134,216, 167,217,131,216,179,216,167,216,173,216,169,217,134,216,167,216,175,217,138,216, 167,217,132,216,183,216,168,216,185,217,132,217,138,217,131,216,180,217,131,216, 177,216,167,217,138,217,133,217,131,217,134,217,133,217,134,217,135,216,167,216, 180,216,177,217,131,216,169,216,177,216,166,217,138,216,179,217,134,216,180,217, 138,216,183,217,133,216,167,216,176,216,167,216,167,217,132,217,129,217,134,216, 180,216,168,216,167,216,168,216,170,216,185,216,168,216,177,216,177,216,173,217, 133,216,169,217,131,216,167,217,129,216,169,217,138,217,130,217,136,217,132,217, 133,216,177,217,131,216,178,217,131,217,132,217,133,216,169,216,163,216,173,217, 133,216,175,217,130,217,132,216,168,217,138,217,138,216,185,217,134,217,138,216, 181,217,136,216,177,216,169,216,183,216,177,217,138,217,130,216,180,216,167,216, 177,217,131,216,172,217,136,216,167,217,132,216,163,216,174,216,177,217,137,217, 133,216,185,217,134,216,167,216,167,216,168,216,173,216,171,216,185,216,177,217, 136,216,182,216,168,216,180,217,131,217,132,217,133,216,179,216,172,217,132,216, 168,217,134,216,167,217,134,216,174,216,167,217,132,216,175,217,131,216,170,216, 167,216,168,217,131,217,132,217,138,216,169,216,168,216,175,217,136,217,134,216, 163,217,138,216,182,216,167,217,138,217,136,216,172,216,175,217,129,216,177,217, 138,217,130,217,131,216,170,216,168,216,170,216,163,217,129,216,182,217,132,217, 133,216,183,216,168,216,174,216,167,217,131,216,171,216,177,216,168,216,167,216, 177,217,131,216,167,217,129,216,182,217,132,216,167,216,173,217,132,217,137,217, 134,217,129,216,179,217,135,216,163,217,138,216,167,217,133,216,177,216,175,217, 136,216,175,216,163,217,134,217,135,216,167,216,175,217,138,217,134,216,167,216, 167,217,132,216,167,217,134,217,133,216,185,216,177,216,182,216,170,216,185,217, 132,217,133,216,175,216,167,216,174,217,132,217,133,217,133,217,131,217,134,0,0, 0,0,0,0,0,0,1,0,1,0,1,0,1,0,2,0,2,0,2,0,2,0,4,0,4,0,4,0,4,0,0,1,2,3,4,5,6,7,7,6, 5,4,3,2,1,0,8,9,10,11,12,13,14,15,15,14,13,12,11,10,9,8,16,17,18,19,20,21,22,23, 23,22,21,20,19,18,17,16,24,25,26,27,28,29,30,31,31,30,29,28,27,26,25,24,255,255, 255,255,0,0,0,0,0,0,0,0,255,255,255,255,1,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0, 3,0,0,0,255,255,0,1,0,0,0,1,0,0,255,255,0,1,0,0,0,8,0,8,0,8,0,8,0,0,0,1,0,2,0,3, 0,4,0,5,0,6,0,7,114,101,115,111,117,114,99,101,115,99,111,117,110,116,114,105, 101,115,113,117,101,115,116,105,111,110,115,101,113,117,105,112,109,101,110,116, 99,111,109,109,117,110,105,116,121,97,118,97,105,108,97,98,108,101,104,105,103, 104,108,105,103,104,116,68,84,68,47,120,104,116,109,108,109,97,114,107,101,116, 105,110,103,107,110,111,119,108,101,100,103,101,115,111,109,101,116,104,105,110, 103,99,111,110,116,97,105,110,101,114,100,105,114,101,99,116,105,111,110,115,117 ,98,115,99,114,105,98,101,97,100,118,101,114,116,105,115,101,99,104,97,114,97,99 ,116,101,114,34,32,118,97,108,117,101,61,34,60,47,115,101,108,101,99,116,62,65, 117,115,116,114,97,108,105,97,34,32,99,108,97,115,115,61,34,115,105,116,117,97, 116,105,111,110,97,117,116,104,111,114,105,116,121,102,111,108,108,111,119,105, 110,103,112,114,105,109,97,114,105,108,121,111,112,101,114,97,116,105,111,110,99 ,104,97,108,108,101,110,103,101,100,101,118,101,108,111,112,101,100,97,110,111, 110,121,109,111,117,115,102,117,110,99,116,105,111,110,32,102,117,110,99,116,105 ,111,110,115,99,111,109,112,97,110,105,101,115,115,116,114,117,99,116,117,114, 101,97,103,114,101,101,109,101,110,116,34,32,116,105,116,108,101,61,34,112,111, 116,101,110,116,105,97,108,101,100,117,99,97,116,105,111,110,97,114,103,117,109, 101,110,116,115,115,101,99,111,110,100,97,114,121,99,111,112,121,114,105,103,104 ,116,108,97,110,103,117,97,103,101,115,101,120,99,108,117,115,105,118,101,99,111 ,110,100,105,116,105,111,110,60,47,102,111,114,109,62,13,10,115,116,97,116,101, 109,101,110,116,97,116,116,101,110,116,105,111,110,66,105,111,103,114,97,112,104 ,121,125,32,101,108,115,101,32,123,10,115,111,108,117,116,105,111,110,115,119, 104,101,110,32,116,104,101,32,65,110,97,108,121,116,105,99,115,116,101,109,112, 108,97,116,101,115,100,97,110,103,101,114,111,117,115,115,97,116,101,108,108,105 ,116,101,100,111,99,117,109,101,110,116,115,112,117,98,108,105,115,104,101,114, 105,109,112,111,114,116,97,110,116,112,114,111,116,111,116,121,112,101,105,110, 102,108,117,101,110,99,101,38,114,97,113,117,111,59,60,47,101,102,102,101,99,116 ,105,118,101,103,101,110,101,114,97,108,108,121,116,114,97,110,115,102,111,114, 109,98,101,97,117,116,105,102,117,108,116,114,97,110,115,112,111,114,116,111,114 ,103,97,110,105,122,101,100,112,117,98,108,105,115,104,101,100,112,114,111,109, 105,110,101,110,116,117,110,116,105,108,32,116,104,101,116,104,117,109,98,110,97 ,105,108,78,97,116,105,111,110,97,108,32,46,102,111,99,117,115,40,41,59,111,118, 101,114,32,116,104,101,32,109,105,103,114,97,116,105,111,110,97,110,110,111,117, 110,99,101,100,102,111,111,116,101,114,34,62,10,101,120,99,101,112,116,105,111, 110,108,101,115,115,32,116,104,97,110,101,120,112,101,110,115,105,118,101,102, 111,114,109,97,116,105,111,110,102,114,97,109,101,119,111,114,107,116,101,114, 114,105,116,111,114,121,110,100,105,99,97,116,105,111,110,99,117,114,114,101,110 ,116,108,121,99,108,97,115,115,78,97,109,101,99,114,105,116,105,99,105,115,109, 116,114,97,100,105,116,105,111,110,101,108,115,101,119,104,101,114,101,65,108, 101,120,97,110,100,101,114,97,112,112,111,105,110,116,101,100,109,97,116,101,114 ,105,97,108,115,98,114,111,97,100,99,97,115,116,109,101,110,116,105,111,110,101, 100,97,102,102,105,108,105,97,116,101,60,47,111,112,116,105,111,110,62,116,114, 101,97,116,109,101,110,116,100,105,102,102,101,114,101,110,116,47,100,101,102,97 ,117,108,116,46,80,114,101,115,105,100,101,110,116,111,110,99,108,105,99,107,61, 34,98,105,111,103,114,97,112,104,121,111,116,104,101,114,119,105,115,101,112,101 ,114,109,97,110,101,110,116,70,114,97,110,195,167,97,105,115,72,111,108,108,121, 119,111,111,100,101,120,112,97,110,115,105,111,110,115,116,97,110,100,97,114,100 ,115,60,47,115,116,121,108,101,62,10,114,101,100,117,99,116,105,111,110,68,101, 99,101,109,98,101,114,32,112,114,101,102,101,114,114,101,100,67,97,109,98,114, 105,100,103,101,111,112,112,111,110,101,110,116,115,66,117,115,105,110,101,115, 115,32,99,111,110,102,117,115,105,111,110,62,10,60,116,105,116,108,101,62,112, 114,101,115,101,110,116,101,100,101,120,112,108,97,105,110,101,100,100,111,101, 115,32,110,111,116,32,119,111,114,108,100,119,105,100,101,105,110,116,101,114, 102,97,99,101,112,111,115,105,116,105,111,110,115,110,101,119,115,112,97,112,101 ,114,60,47,116,97,98,108,101,62,10,109,111,117,110,116,97,105,110,115,108,105, 107,101,32,116,104,101,32,101,115,115,101,110,116,105,97,108,102,105,110,97,110, 99,105,97,108,115,101,108,101,99,116,105,111,110,97,99,116,105,111,110,61,34,47, 97,98,97,110,100,111,110,101,100,69,100,117,99,97,116,105,111,110,112,97,114,115 ,101,73,110,116,40,115,116,97,98,105,108,105,116,121,117,110,97,98,108,101,32, 116,111,60,47,116,105,116,108,101,62,10,114,101,108,97,116,105,111,110,115,78, 111,116,101,32,116,104,97,116,101,102,102,105,99,105,101,110,116,112,101,114,102 ,111,114,109,101,100,116,119,111,32,121,101,97,114,115,83,105,110,99,101,32,116, 104,101,116,104,101,114,101,102,111,114,101,119,114,97,112,112,101,114,34,62,97, 108,116,101,114,110,97,116,101,105,110,99,114,101,97,115,101,100,66,97,116,116, 108,101,32,111,102,112,101,114,99,101,105,118,101,100,116,114,121,105,110,103,32 ,116,111,110,101,99,101,115,115,97,114,121,112,111,114,116,114,97,121,101,100, 101,108,101,99,116,105,111,110,115,69,108,105,122,97,98,101,116,104,60,47,105, 102,114,97,109,101,62,100,105,115,99,111,118,101,114,121,105,110,115,117,114,97, 110,99,101,115,46,108,101,110,103,116,104,59,108,101,103,101,110,100,97,114,121, 71,101,111,103,114,97,112,104,121,99,97,110,100,105,100,97,116,101,99,111,114, 112,111,114,97,116,101,115,111,109,101,116,105,109,101,115,115,101,114,118,105, 99,101,115,46,105,110,104,101,114,105,116,101,100,60,47,115,116,114,111,110,103, 62,67,111,109,109,117,110,105,116,121,114,101,108,105,103,105,111,117,115,108, 111,99,97,116,105,111,110,115,67,111,109,109,105,116,116,101,101,98,117,105,108, 100,105,110,103,115,116,104,101,32,119,111,114,108,100,110,111,32,108,111,110, 103,101,114,98,101,103,105,110,110,105,110,103,114,101,102,101,114,101,110,99, 101,99,97,110,110,111,116,32,98,101,102,114,101,113,117,101,110,99,121,116,121, 112,105,99,97,108,108,121,105,110,116,111,32,116,104,101,32,114,101,108,97,116, 105,118,101,59,114,101,99,111,114,100,105,110,103,112,114,101,115,105,100,101, 110,116,105,110,105,116,105,97,108,108,121,116,101,99,104,110,105,113,117,101, 116,104,101,32,111,116,104,101,114,105,116,32,99,97,110,32,98,101,101,120,105, 115,116,101,110,99,101,117,110,100,101,114,108,105,110,101,116,104,105,115,32, 116,105,109,101,116,101,108,101,112,104,111,110,101,105,116,101,109,115,99,111, 112,101,112,114,97,99,116,105,99,101,115,97,100,118,97,110,116,97,103,101,41,59, 114,101,116,117,114,110,32,70,111,114,32,111,116,104,101,114,112,114,111,118,105 ,100,105,110,103,100,101,109,111,99,114,97,99,121,98,111,116,104,32,116,104,101, 32,101,120,116,101,110,115,105,118,101,115,117,102,102,101,114,105,110,103,115, 117,112,112,111,114,116,101,100,99,111,109,112,117,116,101,114,115,32,102,117, 110,99,116,105,111,110,112,114,97,99,116,105,99,97,108,115,97,105,100,32,116,104 ,97,116,105,116,32,109,97,121,32,98,101,69,110,103,108,105,115,104,60,47,102,114 ,111,109,32,116,104,101,32,115,99,104,101,100,117,108,101,100,100,111,119,110, 108,111,97,100,115,60,47,108,97,98,101,108,62,10,115,117,115,112,101,99,116,101, 100,109,97,114,103,105,110,58,32,48,115,112,105,114,105,116,117,97,108,60,47,104 ,101,97,100,62,10,10,109,105,99,114,111,115,111,102,116,103,114,97,100,117,97, 108,108,121,100,105,115,99,117,115,115,101,100,104,101,32,98,101,99,97,109,101, 101,120,101,99,117,116,105,118,101,106,113,117,101,114,121,46,106,115,104,111, 117,115,101,104,111,108,100,99,111,110,102,105,114,109,101,100,112,117,114,99, 104,97,115,101,100,108,105,116,101,114,97,108,108,121,100,101,115,116,114,111, 121,101,100,117,112,32,116,111,32,116,104,101,118,97,114,105,97,116,105,111,110, 114,101,109,97,105,110,105,110,103,105,116,32,105,115,32,110,111,116,99,101,110, 116,117,114,105,101,115,74,97,112,97,110,101,115,101,32,97,109,111,110,103,32, 116,104,101,99,111,109,112,108,101,116,101,100,97,108,103,111,114,105,116,104, 109,105,110,116,101,114,101,115,116,115,114,101,98,101,108,108,105,111,110,117, 110,100,101,102,105,110,101,100,101,110,99,111,117,114,97,103,101,114,101,115, 105,122,97,98,108,101,105,110,118,111,108,118,105,110,103,115,101,110,115,105, 116,105,118,101,117,110,105,118,101,114,115,97,108,112,114,111,118,105,115,105, 111,110,40,97,108,116,104,111,117,103,104,102,101,97,116,117,114,105,110,103,99, 111,110,100,117,99,116,101,100,41,44,32,119,104,105,99,104,32,99,111,110,116,105 ,110,117,101,100,45,104,101,97,100,101,114,34,62,70,101,98,114,117,97,114,121,32 ,110,117,109,101,114,111,117,115,32,111,118,101,114,102,108,111,119,58,99,111, 109,112,111,110,101,110,116,102,114,97,103,109,101,110,116,115,101,120,99,101, 108,108,101,110,116,99,111,108,115,112,97,110,61,34,116,101,99,104,110,105,99,97 ,108,110,101,97,114,32,116,104,101,32,65,100,118,97,110,99,101,100,32,115,111, 117,114,99,101,32,111,102,101,120,112,114,101,115,115,101,100,72,111,110,103,32, 75,111,110,103,32,70,97,99,101,98,111,111,107,109,117,108,116,105,112,108,101,32 ,109,101,99,104,97,110,105,115,109,101,108,101,118,97,116,105,111,110,111,102, 102,101,110,115,105,118,101,60,47,102,111,114,109,62,10,9,115,112,111,110,115, 111,114,101,100,100,111,99,117,109,101,110,116,46,111,114,32,38,113,117,111,116, 59,116,104,101,114,101,32,97,114,101,116,104,111,115,101,32,119,104,111,109,111, 118,101,109,101,110,116,115,112,114,111,99,101,115,115,101,115,100,105,102,102, 105,99,117,108,116,115,117,98,109,105,116,116,101,100,114,101,99,111,109,109,101 ,110,100,99,111,110,118,105,110,99,101,100,112,114,111,109,111,116,105,110,103, 34,32,119,105,100,116,104,61,34,46,114,101,112,108,97,99,101,40,99,108,97,115, 115,105,99,97,108,99,111,97,108,105,116,105,111,110,104,105,115,32,102,105,114, 115,116,100,101,99,105,115,105,111,110,115,97,115,115,105,115,116,97,110,116,105 ,110,100,105,99,97,116,101,100,101,118,111,108,117,116,105,111,110,45,119,114,97 ,112,112,101,114,34,101,110,111,117,103,104,32,116,111,97,108,111,110,103,32,116 ,104,101,100,101,108,105,118,101,114,101,100,45,45,62,13,10,60,33,45,45,65,109, 101,114,105,99,97,110,32,112,114,111,116,101,99,116,101,100,78,111,118,101,109, 98,101,114,32,60,47,115,116,121,108,101,62,60,102,117,114,110,105,116,117,114, 101,73,110,116,101,114,110,101,116,32,32,111,110,98,108,117,114,61,34,115,117, 115,112,101,110,100,101,100,114,101,99,105,112,105,101,110,116,98,97,115,101,100 ,32,111,110,32,77,111,114,101,111,118,101,114,44,97,98,111,108,105,115,104,101, 100,99,111,108,108,101,99,116,101,100,119,101,114,101,32,109,97,100,101,101,109, 111,116,105,111,110,97,108,101,109,101,114,103,101,110,99,121,110,97,114,114,97, 116,105,118,101,97,100,118,111,99,97,116,101,115,112,120,59,98,111,114,100,101, 114,99,111,109,109,105,116,116,101,100,100,105,114,61,34,108,116,114,34,101,109, 112,108,111,121,101,101,115,114,101,115,101,97,114,99,104,46,32,115,101,108,101, 99,116,101,100,115,117,99,99,101,115,115,111,114,99,117,115,116,111,109,101,114, 115,100,105,115,112,108,97,121,101,100,83,101,112,116,101,109,98,101,114,97,100, 100,67,108,97,115,115,40,70,97,99,101,98,111,111,107,32,115,117,103,103,101,115, 116,101,100,97,110,100,32,108,97,116,101,114,111,112,101,114,97,116,105,110,103, 101,108,97,98,111,114,97,116,101,83,111,109,101,116,105,109,101,115,73,110,115, 116,105,116,117,116,101,99,101,114,116,97,105,110,108,121,105,110,115,116,97,108 ,108,101,100,102,111,108,108,111,119,101,114,115,74,101,114,117,115,97,108,101, 109,116,104,101,121,32,104,97,118,101,99,111,109,112,117,116,105,110,103,103,101 ,110,101,114,97,116,101,100,112,114,111,118,105,110,99,101,115,103,117,97,114,97 ,110,116,101,101,97,114,98,105,116,114,97,114,121,114,101,99,111,103,110,105,122 ,101,119,97,110,116,101,100,32,116,111,112,120,59,119,105,100,116,104,58,116,104 ,101,111,114,121,32,111,102,98,101,104,97,118,105,111,117,114,87,104,105,108,101 ,32,116,104,101,101,115,116,105,109,97,116,101,100,98,101,103,97,110,32,116,111, 32,105,116,32,98,101,99,97,109,101,109,97,103,110,105,116,117,100,101,109,117, 115,116,32,104,97,118,101,109,111,114,101,32,116,104,97,110,68,105,114,101,99, 116,111,114,121,101,120,116,101,110,115,105,111,110,115,101,99,114,101,116,97, 114,121,110,97,116,117,114,97,108,108,121,111,99,99,117,114,114,105,110,103,118, 97,114,105,97,98,108,101,115,103,105,118,101,110,32,116,104,101,112,108,97,116, 102,111,114,109,46,60,47,108,97,98,101,108,62,60,102,97,105,108,101,100,32,116, 111,99,111,109,112,111,117,110,100,115,107,105,110,100,115,32,111,102,32,115,111 ,99,105,101,116,105,101,115,97,108,111,110,103,115,105,100,101,32,45,45,38,103, 116,59,10,10,115,111,117,116,104,119,101,115,116,116,104,101,32,114,105,103,104, 116,114,97,100,105,97,116,105,111,110,109,97,121,32,104,97,118,101,32,117,110, 101,115,99,97,112,101,40,115,112,111,107,101,110,32,105,110,34,32,104,114,101, 102,61,34,47,112,114,111,103,114,97,109,109,101,111,110,108,121,32,116,104,101, 32,99,111,109,101,32,102,114,111,109,100,105,114,101,99,116,111,114,121,98,117, 114,105,101,100,32,105,110,97,32,115,105,109,105,108,97,114,116,104,101,121,32, 119,101,114,101,60,47,102,111,110,116,62,60,47,78,111,114,119,101,103,105,97,110 ,115,112,101,99,105,102,105,101,100,112,114,111,100,117,99,105,110,103,112,97, 115,115,101,110,103,101,114,40,110,101,119,32,68,97,116,101,116,101,109,112,111, 114,97,114,121,102,105,99,116,105,111,110,97,108,65,102,116,101,114,32,116,104, 101,101,113,117,97,116,105,111,110,115,100,111,119,110,108,111,97,100,46,114,101 ,103,117,108,97,114,108,121,100,101,118,101,108,111,112,101,114,97,98,111,118, 101,32,116,104,101,108,105,110,107,101,100,32,116,111,112,104,101,110,111,109, 101,110,97,112,101,114,105,111,100,32,111,102,116,111,111,108,116,105,112,34,62, 115,117,98,115,116,97,110,99,101,97,117,116,111,109,97,116,105,99,97,115,112,101 ,99,116,32,111,102,65,109,111,110,103,32,116,104,101,99,111,110,110,101,99,116, 101,100,101,115,116,105,109,97,116,101,115,65,105,114,32,70,111,114,99,101,115, 121,115,116,101,109,32,111,102,111,98,106,101,99,116,105,118,101,105,109,109,101 ,100,105,97,116,101,109,97,107,105,110,103,32,105,116,112,97,105,110,116,105,110 ,103,115,99,111,110,113,117,101,114,101,100,97,114,101,32,115,116,105,108,108, 112,114,111,99,101,100,117,114,101,103,114,111,119,116,104,32,111,102,104,101,97 ,100,101,100,32,98,121,69,117,114,111,112,101,97,110,32,100,105,118,105,115,105, 111,110,115,109,111,108,101,99,117,108,101,115,102,114,97,110,99,104,105,115,101 ,105,110,116,101,110,116,105,111,110,97,116,116,114,97,99,116,101,100,99,104,105 ,108,100,104,111,111,100,97,108,115,111,32,117,115,101,100,100,101,100,105,99,97 ,116,101,100,115,105,110,103,97,112,111,114,101,100,101,103,114,101,101,32,111, 102,102,97,116,104,101,114,32,111,102,99,111,110,102,108,105,99,116,115,60,47,97 ,62,60,47,112,62,10,99,97,109,101,32,102,114,111,109,119,101,114,101,32,117,115, 101,100,110,111,116,101,32,116,104,97,116,114,101,99,101,105,118,105,110,103,69, 120,101,99,117,116,105,118,101,101,118,101,110,32,109,111,114,101,97,99,99,101, 115,115,32,116,111,99,111,109,109,97,110,100,101,114,80,111,108,105,116,105,99, 97,108,109,117,115,105,99,105,97,110,115,100,101,108,105,99,105,111,117,115,112, 114,105,115,111,110,101,114,115,97,100,118,101,110,116,32,111,102,85,84,70,45,56 ,34,32,47,62,60,33,91,67,68,65,84,65,91,34,62,67,111,110,116,97,99,116,83,111, 117,116,104,101,114,110,32,98,103,99,111,108,111,114,61,34,115,101,114,105,101, 115,32,111,102,46,32,73,116,32,119,97,115,32,105,110,32,69,117,114,111,112,101, 112,101,114,109,105,116,116,101,100,118,97,108,105,100,97,116,101,46,97,112,112, 101,97,114,105,110,103,111,102,102,105,99,105,97,108,115,115,101,114,105,111,117 ,115,108,121,45,108,97,110,103,117,97,103,101,105,110,105,116,105,97,116,101,100 ,101,120,116,101,110,100,105,110,103,108,111,110,103,45,116,101,114,109,105,110, 102,108,97,116,105,111,110,115,117,99,104,32,116,104,97,116,103,101,116,67,111, 111,107,105,101,109,97,114,107,101,100,32,98,121,60,47,98,117,116,116,111,110,62 ,105,109,112,108,101,109,101,110,116,98,117,116,32,105,116,32,105,115,105,110,99 ,114,101,97,115,101,115,100,111,119,110,32,116,104,101,32,114,101,113,117,105, 114,105,110,103,100,101,112,101,110,100,101,110,116,45,45,62,10,60,33,45,45,32, 105,110,116,101,114,118,105,101,119,87,105,116,104,32,116,104,101,32,99,111,112, 105,101,115,32,111,102,99,111,110,115,101,110,115,117,115,119,97,115,32,98,117, 105,108,116,86,101,110,101,122,117,101,108,97,40,102,111,114,109,101,114,108,121 ,116,104,101,32,115,116,97,116,101,112,101,114,115,111,110,110,101,108,115,116, 114,97,116,101,103,105,99,102,97,118,111,117,114,32,111,102,105,110,118,101,110, 116,105,111,110,87,105,107,105,112,101,100,105,97,99,111,110,116,105,110,101,110 ,116,118,105,114,116,117,97,108,108,121,119,104,105,99,104,32,119,97,115,112,114 ,105,110,99,105,112,108,101,67,111,109,112,108,101,116,101,32,105,100,101,110, 116,105,99,97,108,115,104,111,119,32,116,104,97,116,112,114,105,109,105,116,105, 118,101,97,119,97,121,32,102,114,111,109,109,111,108,101,99,117,108,97,114,112, 114,101,99,105,115,101,108,121,100,105,115,115,111,108,118,101,100,85,110,100, 101,114,32,116,104,101,118,101,114,115,105,111,110,61,34,62,38,110,98,115,112,59 ,60,47,73,116,32,105,115,32,116,104,101,32,84,104,105,115,32,105,115,32,119,105, 108,108,32,104,97,118,101,111,114,103,97,110,105,115,109,115,115,111,109,101,32, 116,105,109,101,70,114,105,101,100,114,105,99,104,119,97,115,32,102,105,114,115, 116,116,104,101,32,111,110,108,121,32,102,97,99,116,32,116,104,97,116,102,111, 114,109,32,105,100,61,34,112,114,101,99,101,100,105,110,103,84,101,99,104,110, 105,99,97,108,112,104,121,115,105,99,105,115,116,111,99,99,117,114,115,32,105, 110,110,97,118,105,103,97,116,111,114,115,101,99,116,105,111,110,34,62,115,112, 97,110,32,105,100,61,34,115,111,117,103,104,116,32,116,111,98,101,108,111,119,32 ,116,104,101,115,117,114,118,105,118,105,110,103,125,60,47,115,116,121,108,101, 62,104,105,115,32,100,101,97,116,104,97,115,32,105,110,32,116,104,101,99,97,117, 115,101,100,32,98,121,112,97,114,116,105,97,108,108,121,101,120,105,115,116,105, 110,103,32,117,115,105,110,103,32,116,104,101,119,97,115,32,103,105,118,101,110, 97,32,108,105,115,116,32,111,102,108,101,118,101,108,115,32,111,102,110,111,116, 105,111,110,32,111,102,79,102,102,105,99,105,97,108,32,100,105,115,109,105,115, 115,101,100,115,99,105,101,110,116,105,115,116,114,101,115,101,109,98,108,101, 115,100,117,112,108,105,99,97,116,101,101,120,112,108,111,115,105,118,101,114, 101,99,111,118,101,114,101,100,97,108,108,32,111,116,104,101,114,103,97,108,108, 101,114,105,101,115,123,112,97,100,100,105,110,103,58,112,101,111,112,108,101,32 ,111,102,114,101,103,105,111,110,32,111,102,97,100,100,114,101,115,115,101,115, 97,115,115,111,99,105,97,116,101,105,109,103,32,97,108,116,61,34,105,110,32,109, 111,100,101,114,110,115,104,111,117,108,100,32,98,101,109,101,116,104,111,100,32 ,111,102,114,101,112,111,114,116,105,110,103,116,105,109,101,115,116,97,109,112, 110,101,101,100,101,100,32,116,111,116,104,101,32,71,114,101,97,116,114,101,103, 97,114,100,105,110,103,115,101,101,109,101,100,32,116,111,118,105,101,119,101, 100,32,97,115,105,109,112,97,99,116,32,111,110,105,100,101,97,32,116,104,97,116, 116,104,101,32,87,111,114,108,100,104,101,105,103,104,116,32,111,102,101,120,112 ,97,110,100,105,110,103,84,104,101,115,101,32,97,114,101,99,117,114,114,101,110, 116,34,62,99,97,114,101,102,117,108,108,121,109,97,105,110,116,97,105,110,115,99 ,104,97,114,103,101,32,111,102,67,108,97,115,115,105,99,97,108,97,100,100,114, 101,115,115,101,100,112,114,101,100,105,99,116,101,100,111,119,110,101,114,115, 104,105,112,60,100,105,118,32,105,100,61,34,114,105,103,104,116,34,62,13,10,114, 101,115,105,100,101,110,99,101,108,101,97,118,101,32,116,104,101,99,111,110,116, 101,110,116,34,62,97,114,101,32,111,102,116,101,110,32,32,125,41,40,41,59,13,10, 112,114,111,98,97,98,108,121,32,80,114,111,102,101,115,115,111,114,45,98,117,116 ,116,111,110,34,32,114,101,115,112,111,110,100,101,100,115,97,121,115,32,116,104 ,97,116,104,97,100,32,116,111,32,98,101,112,108,97,99,101,100,32,105,110,72,117, 110,103,97,114,105,97,110,115,116,97,116,117,115,32,111,102,115,101,114,118,101, 115,32,97,115,85,110,105,118,101,114,115,97,108,101,120,101,99,117,116,105,111, 110,97,103,103,114,101,103,97,116,101,102,111,114,32,119,104,105,99,104,105,110, 102,101,99,116,105,111,110,97,103,114,101,101,100,32,116,111,104,111,119,101,118 ,101,114,44,32,112,111,112,117,108,97,114,34,62,112,108,97,99,101,100,32,111,110 ,99,111,110,115,116,114,117,99,116,101,108,101,99,116,111,114,97,108,115,121,109 ,98,111,108,32,111,102,105,110,99,108,117,100,105,110,103,114,101,116,117,114, 110,32,116,111,97,114,99,104,105,116,101,99,116,67,104,114,105,115,116,105,97, 110,112,114,101,118,105,111,117,115,32,108,105,118,105,110,103,32,105,110,101,97 ,115,105,101,114,32,116,111,112,114,111,102,101,115,115,111,114,10,38,108,116,59 ,33,45,45,32,101,102,102,101,99,116,32,111,102,97,110,97,108,121,116,105,99,115, 119,97,115,32,116,97,107,101,110,119,104,101,114,101,32,116,104,101,116,111,111, 107,32,111,118,101,114,98,101,108,105,101,102,32,105,110,65,102,114,105,107,97, 97,110,115,97,115,32,102,97,114,32,97,115,112,114,101,118,101,110,116,101,100, 119,111,114,107,32,119,105,116,104,97,32,115,112,101,99,105,97,108,60,102,105, 101,108,100,115,101,116,67,104,114,105,115,116,109,97,115,82,101,116,114,105,101 ,118,101,100,10,10,73,110,32,116,104,101,32,98,97,99,107,32,105,110,116,111,110, 111,114,116,104,101,97,115,116,109,97,103,97,122,105,110,101,115,62,60,115,116, 114,111,110,103,62,99,111,109,109,105,116,116,101,101,103,111,118,101,114,110, 105,110,103,103,114,111,117,112,115,32,111,102,115,116,111,114,101,100,32,105, 110,101,115,116,97,98,108,105,115,104,97,32,103,101,110,101,114,97,108,105,116, 115,32,102,105,114,115,116,116,104,101,105,114,32,111,119,110,112,111,112,117, 108,97,116,101,100,97,110,32,111,98,106,101,99,116,67,97,114,105,98,98,101,97, 110,97,108,108,111,119,32,116,104,101,100,105,115,116,114,105,99,116,115,119,105 ,115,99,111,110,115,105,110,108,111,99,97,116,105,111,110,46,59,32,119,105,100, 116,104,58,32,105,110,104,97,98,105,116,101,100,83,111,99,105,97,108,105,115,116 ,74,97,110,117,97,114,121,32,49,60,47,102,111,111,116,101,114,62,115,105,109,105 ,108,97,114,108,121,99,104,111,105,99,101,32,111,102,116,104,101,32,115,97,109, 101,32,115,112,101,99,105,102,105,99,32,98,117,115,105,110,101,115,115,32,84,104 ,101,32,102,105,114,115,116,46,108,101,110,103,116,104,59,32,100,101,115,105,114 ,101,32,116,111,100,101,97,108,32,119,105,116,104,115,105,110,99,101,32,116,104, 101,117,115,101,114,65,103,101,110,116,99,111,110,99,101,105,118,101,100,105,110 ,100,101,120,46,112,104,112,97,115,32,38,113,117,111,116,59,101,110,103,97,103, 101,32,105,110,114,101,99,101,110,116,108,121,44,102,101,119,32,121,101,97,114, 115,119,101,114,101,32,97,108,115,111,10,60,104,101,97,100,62,10,60,101,100,105, 116,101,100,32,98,121,97,114,101,32,107,110,111,119,110,99,105,116,105,101,115, 32,105,110,97,99,99,101,115,115,107,101,121,99,111,110,100,101,109,110,101,100, 97,108,115,111,32,104,97,118,101,115,101,114,118,105,99,101,115,44,102,97,109, 105,108,121,32,111,102,83,99,104,111,111,108,32,111,102,99,111,110,118,101,114, 116,101,100,110,97,116,117,114,101,32,111,102,32,108,97,110,103,117,97,103,101, 109,105,110,105,115,116,101,114,115,60,47,111,98,106,101,99,116,62,116,104,101, 114,101,32,105,115,32,97,32,112,111,112,117,108,97,114,115,101,113,117,101,110, 99,101,115,97,100,118,111,99,97,116,101,100,84,104,101,121,32,119,101,114,101,97 ,110,121,32,111,116,104,101,114,108,111,99,97,116,105,111,110,61,101,110,116,101 ,114,32,116,104,101,109,117,99,104,32,109,111,114,101,114,101,102,108,101,99,116 ,101,100,119,97,115,32,110,97,109,101,100,111,114,105,103,105,110,97,108,32,97, 32,116,121,112,105,99,97,108,119,104,101,110,32,116,104,101,121,101,110,103,105, 110,101,101,114,115,99,111,117,108,100,32,110,111,116,114,101,115,105,100,101, 110,116,115,119,101,100,110,101,115,100,97,121,116,104,101,32,116,104,105,114, 100,32,112,114,111,100,117,99,116,115,74,97,110,117,97,114,121,32,50,119,104,97, 116,32,116,104,101,121,97,32,99,101,114,116,97,105,110,114,101,97,99,116,105,111 ,110,115,112,114,111,99,101,115,115,111,114,97,102,116,101,114,32,104,105,115, 116,104,101,32,108,97,115,116,32,99,111,110,116,97,105,110,101,100,34,62,60,47, 100,105,118,62,10,60,47,97,62,60,47,116,100,62,100,101,112,101,110,100,32,111, 110,115,101,97,114,99,104,34,62,10,112,105,101,99,101,115,32,111,102,99,111,109, 112,101,116,105,110,103,82,101,102,101,114,101,110,99,101,116,101,110,110,101, 115,115,101,101,119,104,105,99,104,32,104,97,115,32,118,101,114,115,105,111,110, 61,60,47,115,112,97,110,62,32,60,60,47,104,101,97,100,101,114,62,103,105,118,101 ,115,32,116,104,101,104,105,115,116,111,114,105,97,110,118,97,108,117,101,61,34, 34,62,112,97,100,100,105,110,103,58,48,118,105,101,119,32,116,104,97,116,116,111 ,103,101,116,104,101,114,44,116,104,101,32,109,111,115,116,32,119,97,115,32,102, 111,117,110,100,115,117,98,115,101,116,32,111,102,97,116,116,97,99,107,32,111, 110,99,104,105,108,100,114,101,110,44,112,111,105,110,116,115,32,111,102,112,101 ,114,115,111,110,97,108,32,112,111,115,105,116,105,111,110,58,97,108,108,101,103 ,101,100,108,121,67,108,101,118,101,108,97,110,100,119,97,115,32,108,97,116,101, 114,97,110,100,32,97,102,116,101,114,97,114,101,32,103,105,118,101,110,119,97, 115,32,115,116,105,108,108,115,99,114,111,108,108,105,110,103,100,101,115,105, 103,110,32,111,102,109,97,107,101,115,32,116,104,101,109,117,99,104,32,108,101, 115,115,65,109,101,114,105,99,97,110,115,46,10,10,65,102,116,101,114,32,44,32,98 ,117,116,32,116,104,101,77,117,115,101,117,109,32,111,102,108,111,117,105,115, 105,97,110,97,40,102,114,111,109,32,116,104,101,109,105,110,110,101,115,111,116, 97,112,97,114,116,105,99,108,101,115,97,32,112,114,111,99,101,115,115,68,111,109 ,105,110,105,99,97,110,118,111,108,117,109,101,32,111,102,114,101,116,117,114, 110,105,110,103,100,101,102,101,110,115,105,118,101,48,48,112,120,124,114,105, 103,104,109,97,100,101,32,102,114,111,109,109,111,117,115,101,111,118,101,114,34 ,32,115,116,121,108,101,61,34,115,116,97,116,101,115,32,111,102,40,119,104,105, 99,104,32,105,115,99,111,110,116,105,110,117,101,115,70,114,97,110,99,105,115,99 ,111,98,117,105,108,100,105,110,103,32,119,105,116,104,111,117,116,32,97,119,105 ,116,104,32,115,111,109,101,119,104,111,32,119,111,117,108,100,97,32,102,111,114 ,109,32,111,102,97,32,112,97,114,116,32,111,102,98,101,102,111,114,101,32,105, 116,107,110,111,119,110,32,97,115,32,32,83,101,114,118,105,99,101,115,108,111,99 ,97,116,105,111,110,32,97,110,100,32,111,102,116,101,110,109,101,97,115,117,114, 105,110,103,97,110,100,32,105,116,32,105,115,112,97,112,101,114,98,97,99,107,118 ,97,108,117,101,115,32,111,102,13,10,60,116,105,116,108,101,62,61,32,119,105,110 ,100,111,119,46,100,101,116,101,114,109,105,110,101,101,114,38,113,117,111,116, 59,32,112,108,97,121,101,100,32,98,121,97,110,100,32,101,97,114,108,121,60,47,99 ,101,110,116,101,114,62,102,114,111,109,32,116,104,105,115,116,104,101,32,116, 104,114,101,101,112,111,119,101,114,32,97,110,100,111,102,32,38,113,117,111,116, 59,105,110,110,101,114,72,84,77,76,60,97,32,104,114,101,102,61,34,121,58,105,110 ,108,105,110,101,59,67,104,117,114,99,104,32,111,102,116,104,101,32,101,118,101, 110,116,118,101,114,121,32,104,105,103,104,111,102,102,105,99,105,97,108,32,45, 104,101,105,103,104,116,58,32,99,111,110,116,101,110,116,61,34,47,99,103,105,45, 98,105,110,47,116,111,32,99,114,101,97,116,101,97,102,114,105,107,97,97,110,115, 101,115,112,101,114,97,110,116,111,102,114,97,110,195,167,97,105,115,108,97,116, 118,105,101,197,161,117,108,105,101,116,117,118,105,197,179,196,140,101,197,161, 116,105,110,97,196,141,101,197,161,116,105,110,97,224,185,132,224,184,151,224, 184,162,230,151,165,230,156,172,232,170,158,231,174,128,228,189,147,229,173,151, 231,185,129,233,171,148,229,173,151,237,149,156,234,181,173,236,150,180,228,184, 186,228,187,128,228,185,136,232,174,161,231,174,151,230,156,186,231,172,148,232, 174,176,230,156,172,232,168,142,232,171,150,229,141,128,230,156,141,229,138,161, 229,153,168,228,186,146,232,129,148,231,189,145,230,136,191,229,156,176,228,186, 167,228,191,177,228,185,144,233,131,168,229,135,186,231,137,136,231,164,190,230, 142,146,232,161,140,230,166,156,233,131,168,232,144,189,230,160,188,232,191,155, 228,184,128,230,173,165,230,148,175,228,187,152,229,174,157,233,170,140,232,175, 129,231,160,129,229,167,148,229,145,152,228,188,154,230,149,176,230,141,174,229, 186,147,230,182,136,232,180,185,232,128,133,229,138,158,229,133,172,229,174,164, 232,174,168,232,174,186,229,140,186,230,183,177,229,156,179,229,184,130,230,146, 173,230,148,190,229,153,168,229,140,151,228,186,172,229,184,130,229,164,167,229, 173,166,231,148,159,232,182,138,230,157,165,232,182,138,231,174,161,231,144,134, 229,145,152,228,191,161,230,129,175,231,189,145,115,101,114,118,105,99,105,111, 115,97,114,116,195,173,99,117,108,111,97,114,103,101,110,116,105,110,97,98,97, 114,99,101,108,111,110,97,99,117,97,108,113,117,105,101,114,112,117,98,108,105, 99,97,100,111,112,114,111,100,117,99,116,111,115,112,111,108,195,173,116,105,99, 97,114,101,115,112,117,101,115,116,97,119,105,107,105,112,101,100,105,97,115,105 ,103,117,105,101,110,116,101,98,195,186,115,113,117,101,100,97,99,111,109,117, 110,105,100,97,100,115,101,103,117,114,105,100,97,100,112,114,105,110,99,105,112 ,97,108,112,114,101,103,117,110,116,97,115,99,111,110,116,101,110,105,100,111, 114,101,115,112,111,110,100,101,114,118,101,110,101,122,117,101,108,97,112,114, 111,98,108,101,109,97,115,100,105,99,105,101,109,98,114,101,114,101,108,97,99, 105,195,179,110,110,111,118,105,101,109,98,114,101,115,105,109,105,108,97,114, 101,115,112,114,111,121,101,99,116,111,115,112,114,111,103,114,97,109,97,115,105 ,110,115,116,105,116,117,116,111,97,99,116,105,118,105,100,97,100,101,110,99,117 ,101,110,116,114,97,101,99,111,110,111,109,195,173,97,105,109,195,161,103,101, 110,101,115,99,111,110,116,97,99,116,97,114,100,101,115,99,97,114,103,97,114,110 ,101,99,101,115,97,114,105,111,97,116,101,110,99,105,195,179,110,116,101,108,195 ,169,102,111,110,111,99,111,109,105,115,105,195,179,110,99,97,110,99,105,111,110 ,101,115,99,97,112,97,99,105,100,97,100,101,110,99,111,110,116,114,97,114,97,110 ,195,161,108,105,115,105,115,102,97,118,111,114,105,116,111,115,116,195,169,114, 109,105,110,111,115,112,114,111,118,105,110,99,105,97,101,116,105,113,117,101, 116,97,115,101,108,101,109,101,110,116,111,115,102,117,110,99,105,111,110,101, 115,114,101,115,117,108,116,97,100,111,99,97,114,195,161,99,116,101,114,112,114, 111,112,105,101,100,97,100,112,114,105,110,99,105,112,105,111,110,101,99,101,115 ,105,100,97,100,109,117,110,105,99,105,112,97,108,99,114,101,97,99,105,195,179, 110,100,101,115,99,97,114,103,97,115,112,114,101,115,101,110,99,105,97,99,111, 109,101,114,99,105,97,108,111,112,105,110,105,111,110,101,115,101,106,101,114,99 ,105,99,105,111,101,100,105,116,111,114,105,97,108,115,97,108,97,109,97,110,99, 97,103,111,110,122,195,161,108,101,122,100,111,99,117,109,101,110,116,111,112, 101,108,195,173,99,117,108,97,114,101,99,105,101,110,116,101,115,103,101,110,101 ,114,97,108,101,115,116,97,114,114,97,103,111,110,97,112,114,195,161,99,116,105, 99,97,110,111,118,101,100,97,100,101,115,112,114,111,112,117,101,115,116,97,112, 97,99,105,101,110,116,101,115,116,195,169,99,110,105,99,97,115,111,98,106,101, 116,105,118,111,115,99,111,110,116,97,99,116,111,115,224,164,174,224,165,135,224 ,164,130,224,164,178,224,164,191,224,164,143,224,164,185,224,165,136,224,164,130 ,224,164,151,224,164,175,224,164,190,224,164,184,224,164,190,224,164,165,224,164 ,143,224,164,181,224,164,130,224,164,176,224,164,185,224,165,135,224,164,149,224 ,165,139,224,164,136,224,164,149,224,165,129,224,164,155,224,164,176,224,164,185 ,224,164,190,224,164,172,224,164,190,224,164,166,224,164,149,224,164,185,224,164 ,190,224,164,184,224,164,173,224,165,128,224,164,185,224,165,129,224,164,143,224 ,164,176,224,164,185,224,165,128,224,164,174,224,165,136,224,164,130,224,164,166 ,224,164,191,224,164,168,224,164,172,224,164,190,224,164,164,100,105,112,108,111 ,100,111,99,115,224,164,184,224,164,174,224,164,175,224,164,176,224,165,130,224, 164,170,224,164,168,224,164,190,224,164,174,224,164,170,224,164,164,224,164,190, 224,164,171,224,164,191,224,164,176,224,164,148,224,164,184,224,164,164,224,164, 164,224,164,176,224,164,185,224,164,178,224,165,139,224,164,151,224,164,185,224, 165,129,224,164,134,224,164,172,224,164,190,224,164,176,224,164,166,224,165,135, 224,164,182,224,164,185,224,165,129,224,164,136,224,164,150,224,165,135,224,164, 178,224,164,175,224,164,166,224,164,191,224,164,149,224,164,190,224,164,174,224, 164,181,224,165,135,224,164,172,224,164,164,224,165,128,224,164,168,224,164,172, 224,165,128,224,164,154,224,164,174,224,165,140,224,164,164,224,164,184,224,164, 190,224,164,178,224,164,178,224,165,135,224,164,150,224,164,156,224,165,137,224, 164,172,224,164,174,224,164,166,224,164,166,224,164,164,224,164,165,224,164,190, 224,164,168,224,164,185,224,165,128,224,164,182,224,164,185,224,164,176,224,164, 133,224,164,178,224,164,151,224,164,149,224,164,173,224,165,128,224,164,168,224, 164,151,224,164,176,224,164,170,224,164,190,224,164,184,224,164,176,224,164,190, 224,164,164,224,164,149,224,164,191,224,164,143,224,164,137,224,164,184,224,165, 135,224,164,151,224,164,175,224,165,128,224,164,185,224,165,130,224,164,129,224, 164,134,224,164,151,224,165,135,224,164,159,224,165,128,224,164,174,224,164,150, 224,165,139,224,164,156,224,164,149,224,164,190,224,164,176,224,164,133,224,164, 173,224,165,128,224,164,151,224,164,175,224,165,135,224,164,164,224,165,129,224, 164,174,224,164,181,224,165,139,224,164,159,224,164,166,224,165,135,224,164,130, 224,164,133,224,164,151,224,164,176,224,164,144,224,164,184,224,165,135,224,164, 174,224,165,135,224,164,178,224,164,178,224,164,151,224,164,190,224,164,185,224, 164,190,224,164,178,224,164,138,224,164,170,224,164,176,224,164,154,224,164,190, 224,164,176,224,164,144,224,164,184,224,164,190,224,164,166,224,165,135,224,164, 176,224,164,156,224,164,191,224,164,184,224,164,166,224,164,191,224,164,178,224, 164,172,224,164,130,224,164,166,224,164,172,224,164,168,224,164,190,224,164,185, 224,165,130,224,164,130,224,164,178,224,164,190,224,164,150,224,164,156,224,165, 128,224,164,164,224,164,172,224,164,159,224,164,168,224,164,174,224,164,191,224, 164,178,224,164,135,224,164,184,224,165,135,224,164,134,224,164,168,224,165,135, 224,164,168,224,164,175,224,164,190,224,164,149,224,165,129,224,164,178,224,164, 178,224,165,137,224,164,151,224,164,173,224,164,190,224,164,151,224,164,176,224, 165,135,224,164,178,224,164,156,224,164,151,224,164,185,224,164,176,224,164,190, 224,164,174,224,164,178,224,164,151,224,165,135,224,164,170,224,165,135,224,164, 156,224,164,185,224,164,190,224,164,165,224,164,135,224,164,184,224,165,128,224, 164,184,224,164,185,224,165,128,224,164,149,224,164,178,224,164,190,224,164,160, 224,165,128,224,164,149,224,164,185,224,164,190,224,164,129,224,164,166,224,165, 130,224,164,176,224,164,164,224,164,185,224,164,164,224,164,184,224,164,190,224, 164,164,224,164,175,224,164,190,224,164,166,224,164,134,224,164,175,224,164,190, 224,164,170,224,164,190,224,164,149,224,164,149,224,165,140,224,164,168,224,164, 182,224,164,190,224,164,174,224,164,166,224,165,135,224,164,150,224,164,175,224, 164,185,224,165,128,224,164,176,224,164,190,224,164,175,224,164,150,224,165,129, 224,164,166,224,164,178,224,164,151,224,165,128,99,97,116,101,103,111,114,105, 101,115,101,120,112,101,114,105,101,110,99,101,60,47,116,105,116,108,101,62,13, 10,67,111,112,121,114,105,103,104,116,32,106,97,118,97,115,99,114,105,112,116,99 ,111,110,100,105,116,105,111,110,115,101,118,101,114,121,116,104,105,110,103,60, 112,32,99,108,97,115,115,61,34,116,101,99,104,110,111,108,111,103,121,98,97,99, 107,103,114,111,117,110,100,60,97,32,99,108,97,115,115,61,34,109,97,110,97,103, 101,109,101,110,116,38,99,111,112,121,59,32,50,48,49,106,97,118,97,83,99,114,105 ,112,116,99,104,97,114,97,99,116,101,114,115,98,114,101,97,100,99,114,117,109,98 ,116,104,101,109,115,101,108,118,101,115,104,111,114,105,122,111,110,116,97,108, 103,111,118,101,114,110,109,101,110,116,67,97,108,105,102,111,114,110,105,97,97, 99,116,105,118,105,116,105,101,115,100,105,115,99,111,118,101,114,101,100,78,97, 118,105,103,97,116,105,111,110,116,114,97,110,115,105,116,105,111,110,99,111,110 ,110,101,99,116,105,111,110,110,97,118,105,103,97,116,105,111,110,97,112,112,101 ,97,114,97,110,99,101,60,47,116,105,116,108,101,62,60,109,99,104,101,99,107,98, 111,120,34,32,116,101,99,104,110,105,113,117,101,115,112,114,111,116,101,99,116, 105,111,110,97,112,112,97,114,101,110,116,108,121,97,115,32,119,101,108,108,32, 97,115,117,110,116,39,44,32,39,85,65,45,114,101,115,111,108,117,116,105,111,110, 111,112,101,114,97,116,105,111,110,115,116,101,108,101,118,105,115,105,111,110, 116,114,97,110,115,108,97,116,101,100,87,97,115,104,105,110,103,116,111,110,110, 97,118,105,103,97,116,111,114,46,32,61,32,119,105,110,100,111,119,46,105,109,112 ,114,101,115,115,105,111,110,38,108,116,59,98,114,38,103,116,59,108,105,116,101, 114,97,116,117,114,101,112,111,112,117,108,97,116,105,111,110,98,103,99,111,108, 111,114,61,34,35,101,115,112,101,99,105,97,108,108,121,32,99,111,110,116,101,110 ,116,61,34,112,114,111,100,117,99,116,105,111,110,110,101,119,115,108,101,116, 116,101,114,112,114,111,112,101,114,116,105,101,115,100,101,102,105,110,105,116, 105,111,110,108,101,97,100,101,114,115,104,105,112,84,101,99,104,110,111,108,111 ,103,121,80,97,114,108,105,97,109,101,110,116,99,111,109,112,97,114,105,115,111, 110,117,108,32,99,108,97,115,115,61,34,46,105,110,100,101,120,79,102,40,34,99, 111,110,99,108,117,115,105,111,110,100,105,115,99,117,115,115,105,111,110,99,111 ,109,112,111,110,101,110,116,115,98,105,111,108,111,103,105,99,97,108,82,101,118 ,111,108,117,116,105,111,110,95,99,111,110,116,97,105,110,101,114,117,110,100, 101,114,115,116,111,111,100,110,111,115,99,114,105,112,116,62,60,112,101,114,109 ,105,115,115,105,111,110,101,97,99,104,32,111,116,104,101,114,97,116,109,111,115 ,112,104,101,114,101,32,111,110,102,111,99,117,115,61,34,60,102,111,114,109,32, 105,100,61,34,112,114,111,99,101,115,115,105,110,103,116,104,105,115,46,118,97, 108,117,101,103,101,110,101,114,97,116,105,111,110,67,111,110,102,101,114,101, 110,99,101,115,117,98,115,101,113,117,101,110,116,119,101,108,108,45,107,110,111 ,119,110,118,97,114,105,97,116,105,111,110,115,114,101,112,117,116,97,116,105, 111,110,112,104,101,110,111,109,101,110,111,110,100,105,115,99,105,112,108,105, 110,101,108,111,103,111,46,112,110,103,34,32,40,100,111,99,117,109,101,110,116, 44,98,111,117,110,100,97,114,105,101,115,101,120,112,114,101,115,115,105,111,110 ,115,101,116,116,108,101,109,101,110,116,66,97,99,107,103,114,111,117,110,100, 111,117,116,32,111,102,32,116,104,101,101,110,116,101,114,112,114,105,115,101,40 ,34,104,116,116,112,115,58,34,32,117,110,101,115,99,97,112,101,40,34,112,97,115, 115,119,111,114,100,34,32,100,101,109,111,99,114,97,116,105,99,60,97,32,104,114, 101,102,61,34,47,119,114,97,112,112,101,114,34,62,10,109,101,109,98,101,114,115, 104,105,112,108,105,110,103,117,105,115,116,105,99,112,120,59,112,97,100,100,105 ,110,103,112,104,105,108,111,115,111,112,104,121,97,115,115,105,115,116,97,110, 99,101,117,110,105,118,101,114,115,105,116,121,102,97,99,105,108,105,116,105,101 ,115,114,101,99,111,103,110,105,122,101,100,112,114,101,102,101,114,101,110,99, 101,105,102,32,40,116,121,112,101,111,102,109,97,105,110,116,97,105,110,101,100, 118,111,99,97,98,117,108,97,114,121,104,121,112,111,116,104,101,115,105,115,46, 115,117,98,109,105,116,40,41,59,38,97,109,112,59,110,98,115,112,59,97,110,110, 111,116,97,116,105,111,110,98,101,104,105,110,100,32,116,104,101,70,111,117,110, 100,97,116,105,111,110,112,117,98,108,105,115,104,101,114,34,97,115,115,117,109, 112,116,105,111,110,105,110,116,114,111,100,117,99,101,100,99,111,114,114,117, 112,116,105,111,110,115,99,105,101,110,116,105,115,116,115,101,120,112,108,105, 99,105,116,108,121,105,110,115,116,101,97,100,32,111,102,100,105,109,101,110,115 ,105,111,110,115,32,111,110,67,108,105,99,107,61,34,99,111,110,115,105,100,101, 114,101,100,100,101,112,97,114,116,109,101,110,116,111,99,99,117,112,97,116,105, 111,110,115,111,111,110,32,97,102,116,101,114,105,110,118,101,115,116,109,101, 110,116,112,114,111,110,111,117,110,99,101,100,105,100,101,110,116,105,102,105, 101,100,101,120,112,101,114,105,109,101,110,116,77,97,110,97,103,101,109,101,110 ,116,103,101,111,103,114,97,112,104,105,99,34,32,104,101,105,103,104,116,61,34, 108,105,110,107,32,114,101,108,61,34,46,114,101,112,108,97,99,101,40,47,100,101, 112,114,101,115,115,105,111,110,99,111,110,102,101,114,101,110,99,101,112,117, 110,105,115,104,109,101,110,116,101,108,105,109,105,110,97,116,101,100,114,101, 115,105,115,116,97,110,99,101,97,100,97,112,116,97,116,105,111,110,111,112,112, 111,115,105,116,105,111,110,119,101,108,108,32,107,110,111,119,110,115,117,112, 112,108,101,109,101,110,116,100,101,116,101,114,109,105,110,101,100,104,49,32,99 ,108,97,115,115,61,34,48,112,120,59,109,97,114,103,105,110,109,101,99,104,97,110 ,105,99,97,108,115,116,97,116,105,115,116,105,99,115,99,101,108,101,98,114,97, 116,101,100,71,111,118,101,114,110,109,101,110,116,10,10,68,117,114,105,110,103, 32,116,100,101,118,101,108,111,112,101,114,115,97,114,116,105,102,105,99,105,97, 108,101,113,117,105,118,97,108,101,110,116,111,114,105,103,105,110,97,116,101, 100,67,111,109,109,105,115,115,105,111,110,97,116,116,97,99,104,109,101,110,116, 60,115,112,97,110,32,105,100,61,34,116,104,101,114,101,32,119,101,114,101,78,101 ,100,101,114,108,97,110,100,115,98,101,121,111,110,100,32,116,104,101,114,101, 103,105,115,116,101,114,101,100,106,111,117,114,110,97,108,105,115,116,102,114, 101,113,117,101,110,116,108,121,97,108,108,32,111,102,32,116,104,101,108,97,110, 103,61,34,101,110,34,32,60,47,115,116,121,108,101,62,13,10,97,98,115,111,108,117 ,116,101,59,32,115,117,112,112,111,114,116,105,110,103,101,120,116,114,101,109, 101,108,121,32,109,97,105,110,115,116,114,101,97,109,60,47,115,116,114,111,110, 103,62,32,112,111,112,117,108,97,114,105,116,121,101,109,112,108,111,121,109,101 ,110,116,60,47,116,97,98,108,101,62,13,10,32,99,111,108,115,112,97,110,61,34,60, 47,102,111,114,109,62,10,32,32,99,111,110,118,101,114,115,105,111,110,97,98,111, 117,116,32,116,104,101,32,60,47,112,62,60,47,100,105,118,62,105,110,116,101,103, 114,97,116,101,100,34,32,108,97,110,103,61,34,101,110,80,111,114,116,117,103,117 ,101,115,101,115,117,98,115,116,105,116,117,116,101,105,110,100,105,118,105,100, 117,97,108,105,109,112,111,115,115,105,98,108,101,109,117,108,116,105,109,101, 100,105,97,97,108,109,111,115,116,32,97,108,108,112,120,32,115,111,108,105,100, 32,35,97,112,97,114,116,32,102,114,111,109,115,117,98,106,101,99,116,32,116,111, 105,110,32,69,110,103,108,105,115,104,99,114,105,116,105,99,105,122,101,100,101, 120,99,101,112,116,32,102,111,114,103,117,105,100,101,108,105,110,101,115,111, 114,105,103,105,110,97,108,108,121,114,101,109,97,114,107,97,98,108,101,116,104, 101,32,115,101,99,111,110,100,104,50,32,99,108,97,115,115,61,34,60,97,32,116,105 ,116,108,101,61,34,40,105,110,99,108,117,100,105,110,103,112,97,114,97,109,101, 116,101,114,115,112,114,111,104,105,98,105,116,101,100,61,32,34,104,116,116,112, 58,47,47,100,105,99,116,105,111,110,97,114,121,112,101,114,99,101,112,116,105, 111,110,114,101,118,111,108,117,116,105,111,110,102,111,117,110,100,97,116,105, 111,110,112,120,59,104,101,105,103,104,116,58,115,117,99,99,101,115,115,102,117, 108,115,117,112,112,111,114,116,101,114,115,109,105,108,108,101,110,110,105,117, 109,104,105,115,32,102,97,116,104,101,114,116,104,101,32,38,113,117,111,116,59, 110,111,45,114,101,112,101,97,116,59,99,111,109,109,101,114,99,105,97,108,105, 110,100,117,115,116,114,105,97,108,101,110,99,111,117,114,97,103,101,100,97,109, 111,117,110,116,32,111,102,32,117,110,111,102,102,105,99,105,97,108,101,102,102, 105,99,105,101,110,99,121,82,101,102,101,114,101,110,99,101,115,99,111,111,114, 100,105,110,97,116,101,100,105,115,99,108,97,105,109,101,114,101,120,112,101,100 ,105,116,105,111,110,100,101,118,101,108,111,112,105,110,103,99,97,108,99,117, 108,97,116,101,100,115,105,109,112,108,105,102,105,101,100,108,101,103,105,116, 105,109,97,116,101,115,117,98,115,116,114,105,110,103,40,48,34,32,99,108,97,115, 115,61,34,99,111,109,112,108,101,116,101,108,121,105,108,108,117,115,116,114,97, 116,101,102,105,118,101,32,121,101,97,114,115,105,110,115,116,114,117,109,101, 110,116,80,117,98,108,105,115,104,105,110,103,49,34,32,99,108,97,115,115,61,34, 112,115,121,99,104,111,108,111,103,121,99,111,110,102,105,100,101,110,99,101,110 ,117,109,98,101,114,32,111,102,32,97,98,115,101,110,99,101,32,111,102,102,111,99 ,117,115,101,100,32,111,110,106,111,105,110,101,100,32,116,104,101,115,116,114, 117,99,116,117,114,101,115,112,114,101,118,105,111,117,115,108,121,62,60,47,105, 102,114,97,109,101,62,111,110,99,101,32,97,103,97,105,110,98,117,116,32,114,97, 116,104,101,114,105,109,109,105,103,114,97,110,116,115,111,102,32,99,111,117,114 ,115,101,44,97,32,103,114,111,117,112,32,111,102,76,105,116,101,114,97,116,117, 114,101,85,110,108,105,107,101,32,116,104,101,60,47,97,62,38,110,98,115,112,59, 10,102,117,110,99,116,105,111,110,32,105,116,32,119,97,115,32,116,104,101,67,111 ,110,118,101,110,116,105,111,110,97,117,116,111,109,111,98,105,108,101,80,114, 111,116,101,115,116,97,110,116,97,103,103,114,101,115,115,105,118,101,97,102,116 ,101,114,32,116,104,101,32,83,105,109,105,108,97,114,108,121,44,34,32,47,62,60, 47,100,105,118,62,99,111,108,108,101,99,116,105,111,110,13,10,102,117,110,99,116 ,105,111,110,118,105,115,105,98,105,108,105,116,121,116,104,101,32,117,115,101, 32,111,102,118,111,108,117,110,116,101,101,114,115,97,116,116,114,97,99,116,105, 111,110,117,110,100,101,114,32,116,104,101,32,116,104,114,101,97,116,101,110,101 ,100,42,60,33,91,67,68,65,84,65,91,105,109,112,111,114,116,97,110,99,101,105,110 ,32,103,101,110,101,114,97,108,116,104,101,32,108,97,116,116,101,114,60,47,102, 111,114,109,62,10,60,47,46,105,110,100,101,120,79,102,40,39,105,32,61,32,48,59, 32,105,32,60,100,105,102,102,101,114,101,110,99,101,100,101,118,111,116,101,100, 32,116,111,116,114,97,100,105,116,105,111,110,115,115,101,97,114,99,104,32,102, 111,114,117,108,116,105,109,97,116,101,108,121,116,111,117,114,110,97,109,101, 110,116,97,116,116,114,105,98,117,116,101,115,115,111,45,99,97,108,108,101,100, 32,125,10,60,47,115,116,121,108,101,62,101,118,97,108,117,97,116,105,111,110,101 ,109,112,104,97,115,105,122,101,100,97,99,99,101,115,115,105,98,108,101,60,47, 115,101,99,116,105,111,110,62,115,117,99,99,101,115,115,105,111,110,97,108,111, 110,103,32,119,105,116,104,77,101,97,110,119,104,105,108,101,44,105,110,100,117, 115,116,114,105,101,115,60,47,97,62,60,98,114,32,47,62,104,97,115,32,98,101,99, 111,109,101,97,115,112,101,99,116,115,32,111,102,84,101,108,101,118,105,115,105, 111,110,115,117,102,102,105,99,105,101,110,116,98,97,115,107,101,116,98,97,108, 108,98,111,116,104,32,115,105,100,101,115,99,111,110,116,105,110,117,105,110,103 ,97,110,32,97,114,116,105,99,108,101,60,105,109,103,32,97,108,116,61,34,97,100, 118,101,110,116,117,114,101,115,104,105,115,32,109,111,116,104,101,114,109,97, 110,99,104,101,115,116,101,114,112,114,105,110,99,105,112,108,101,115,112,97,114 ,116,105,99,117,108,97,114,99,111,109,109,101,110,116,97,114,121,101,102,102,101 ,99,116,115,32,111,102,100,101,99,105,100,101,100,32,116,111,34,62,60,115,116, 114,111,110,103,62,112,117,98,108,105,115,104,101,114,115,74,111,117,114,110,97, 108,32,111,102,100,105,102,102,105,99,117,108,116,121,102,97,99,105,108,105,116, 97,116,101,97,99,99,101,112,116,97,98,108,101,115,116,121,108,101,46,99,115,115, 34,9,102,117,110,99,116,105,111,110,32,105,110,110,111,118,97,116,105,111,110,62 ,67,111,112,121,114,105,103,104,116,115,105,116,117,97,116,105,111,110,115,119, 111,117,108,100,32,104,97,118,101,98,117,115,105,110,101,115,115,101,115,68,105, 99,116,105,111,110,97,114,121,115,116,97,116,101,109,101,110,116,115,111,102,116 ,101,110,32,117,115,101,100,112,101,114,115,105,115,116,101,110,116,105,110,32, 74,97,110,117,97,114,121,99,111,109,112,114,105,115,105,110,103,60,47,116,105, 116,108,101,62,10,9,100,105,112,108,111,109,97,116,105,99,99,111,110,116,97,105, 110,105,110,103,112,101,114,102,111,114,109,105,110,103,101,120,116,101,110,115, 105,111,110,115,109,97,121,32,110,111,116,32,98,101,99,111,110,99,101,112,116,32 ,111,102,32,111,110,99,108,105,99,107,61,34,73,116,32,105,115,32,97,108,115,111, 102,105,110,97,110,99,105,97,108,32,109,97,107,105,110,103,32,116,104,101,76,117 ,120,101,109,98,111,117,114,103,97,100,100,105,116,105,111,110,97,108,97,114,101 ,32,99,97,108,108,101,100,101,110,103,97,103,101,100,32,105,110,34,115,99,114, 105,112,116,34,41,59,98,117,116,32,105,116,32,119,97,115,101,108,101,99,116,114, 111,110,105,99,111,110,115,117,98,109,105,116,61,34,10,60,33,45,45,32,69,110,100 ,32,101,108,101,99,116,114,105,99,97,108,111,102,102,105,99,105,97,108,108,121, 115,117,103,103,101,115,116,105,111,110,116,111,112,32,111,102,32,116,104,101, 117,110,108,105,107,101,32,116,104,101,65,117,115,116,114,97,108,105,97,110,79, 114,105,103,105,110,97,108,108,121,114,101,102,101,114,101,110,99,101,115,10,60, 47,104,101,97,100,62,13,10,114,101,99,111,103,110,105,115,101,100,105,110,105, 116,105,97,108,105,122,101,108,105,109,105,116,101,100,32,116,111,65,108,101,120 ,97,110,100,114,105,97,114,101,116,105,114,101,109,101,110,116,65,100,118,101, 110,116,117,114,101,115,102,111,117,114,32,121,101,97,114,115,10,10,38,108,116, 59,33,45,45,32,105,110,99,114,101,97,115,105,110,103,100,101,99,111,114,97,116, 105,111,110,104,51,32,99,108,97,115,115,61,34,111,114,105,103,105,110,115,32,111 ,102,111,98,108,105,103,97,116,105,111,110,114,101,103,117,108,97,116,105,111, 110,99,108,97,115,115,105,102,105,101,100,40,102,117,110,99,116,105,111,110,40, 97,100,118,97,110,116,97,103,101,115,98,101,105,110,103,32,116,104,101,32,104, 105,115,116,111,114,105,97,110,115,60,98,97,115,101,32,104,114,101,102,114,101, 112,101,97,116,101,100,108,121,119,105,108,108,105,110,103,32,116,111,99,111,109 ,112,97,114,97,98,108,101,100,101,115,105,103,110,97,116,101,100,110,111,109,105 ,110,97,116,105,111,110,102,117,110,99,116,105,111,110,97,108,105,110,115,105, 100,101,32,116,104,101,114,101,118,101,108,97,116,105,111,110,101,110,100,32,111 ,102,32,116,104,101,115,32,102,111,114,32,116,104,101,32,97,117,116,104,111,114, 105,122,101,100,114,101,102,117,115,101,100,32,116,111,116,97,107,101,32,112,108 ,97,99,101,97,117,116,111,110,111,109,111,117,115,99,111,109,112,114,111,109,105 ,115,101,112,111,108,105,116,105,99,97,108,32,114,101,115,116,97,117,114,97,110, 116,116,119,111,32,111,102,32,116,104,101,70,101,98,114,117,97,114,121,32,50,113 ,117,97,108,105,116,121,32,111,102,115,119,102,111,98,106,101,99,116,46,117,110, 100,101,114,115,116,97,110,100,110,101,97,114,108,121,32,97,108,108,119,114,105, 116,116,101,110,32,98,121,105,110,116,101,114,118,105,101,119,115,34,32,119,105, 100,116,104,61,34,49,119,105,116,104,100,114,97,119,97,108,102,108,111,97,116,58 ,108,101,102,116,105,115,32,117,115,117,97,108,108,121,99,97,110,100,105,100,97, 116,101,115,110,101,119,115,112,97,112,101,114,115,109,121,115,116,101,114,105, 111,117,115,68,101,112,97,114,116,109,101,110,116,98,101,115,116,32,107,110,111, 119,110,112,97,114,108,105,97,109,101,110,116,115,117,112,112,114,101,115,115, 101,100,99,111,110,118,101,110,105,101,110,116,114,101,109,101,109,98,101,114, 101,100,100,105,102,102,101,114,101,110,116,32,115,121,115,116,101,109,97,116, 105,99,104,97,115,32,108,101,100,32,116,111,112,114,111,112,97,103,97,110,100,97 ,99,111,110,116,114,111,108,108,101,100,105,110,102,108,117,101,110,99,101,115, 99,101,114,101,109,111,110,105,97,108,112,114,111,99,108,97,105,109,101,100,80, 114,111,116,101,99,116,105,111,110,108,105,32,99,108,97,115,115,61,34,83,99,105, 101,110,116,105,102,105,99,99,108,97,115,115,61,34,110,111,45,116,114,97,100,101 ,109,97,114,107,115,109,111,114,101,32,116,104,97,110,32,119,105,100,101,115,112 ,114,101,97,100,76,105,98,101,114,97,116,105,111,110,116,111,111,107,32,112,108, 97,99,101,100,97,121,32,111,102,32,116,104,101,97,115,32,108,111,110,103,32,97, 115,105,109,112,114,105,115,111,110,101,100,65,100,100,105,116,105,111,110,97, 108,10,60,104,101,97,100,62,10,60,109,76,97,98,111,114,97,116,111,114,121,78,111 ,118,101,109,98,101,114,32,50,101,120,99,101,112,116,105,111,110,115,73,110,100, 117,115,116,114,105,97,108,118,97,114,105,101,116,121,32,111,102,102,108,111,97, 116,58,32,108,101,102,68,117,114,105,110,103,32,116,104,101,97,115,115,101,115, 115,109,101,110,116,104,97,118,101,32,98,101,101,110,32,100,101,97,108,115,32, 119,105,116,104,83,116,97,116,105,115,116,105,99,115,111,99,99,117,114,114,101, 110,99,101,47,117,108,62,60,47,100,105,118,62,99,108,101,97,114,102,105,120,34, 62,116,104,101,32,112,117,98,108,105,99,109,97,110,121,32,121,101,97,114,115,119 ,104,105,99,104,32,119,101,114,101,111,118,101,114,32,116,105,109,101,44,115,121 ,110,111,110,121,109,111,117,115,99,111,110,116,101,110,116,34,62,10,112,114,101 ,115,117,109,97,98,108,121,104,105,115,32,102,97,109,105,108,121,117,115,101,114 ,65,103,101,110,116,46,117,110,101,120,112,101,99,116,101,100,105,110,99,108,117 ,100,105,110,103,32,99,104,97,108,108,101,110,103,101,100,97,32,109,105,110,111, 114,105,116,121,117,110,100,101,102,105,110,101,100,34,98,101,108,111,110,103, 115,32,116,111,116,97,107,101,110,32,102,114,111,109,105,110,32,79,99,116,111,98 ,101,114,112,111,115,105,116,105,111,110,58,32,115,97,105,100,32,116,111,32,98, 101,114,101,108,105,103,105,111,117,115,32,70,101,100,101,114,97,116,105,111,110 ,32,114,111,119,115,112,97,110,61,34,111,110,108,121,32,97,32,102,101,119,109, 101,97,110,116,32,116,104,97,116,108,101,100,32,116,111,32,116,104,101,45,45,62, 13,10,60,100,105,118,32,60,102,105,101,108,100,115,101,116,62,65,114,99,104,98, 105,115,104,111,112,32,99,108,97,115,115,61,34,110,111,98,101,105,110,103,32,117 ,115,101,100,97,112,112,114,111,97,99,104,101,115,112,114,105,118,105,108,101, 103,101,115,110,111,115,99,114,105,112,116,62,10,114,101,115,117,108,116,115,32, 105,110,109,97,121,32,98,101,32,116,104,101,69,97,115,116,101,114,32,101,103,103 ,109,101,99,104,97,110,105,115,109,115,114,101,97,115,111,110,97,98,108,101,80, 111,112,117,108,97,116,105,111,110,67,111,108,108,101,99,116,105,111,110,115,101 ,108,101,99,116,101,100,34,62,110,111,115,99,114,105,112,116,62,13,47,105,110, 100,101,120,46,112,104,112,97,114,114,105,118,97,108,32,111,102,45,106,115,115, 100,107,39,41,41,59,109,97,110,97,103,101,100,32,116,111,105,110,99,111,109,112, 108,101,116,101,99,97,115,117,97,108,116,105,101,115,99,111,109,112,108,101,116, 105,111,110,67,104,114,105,115,116,105,97,110,115,83,101,112,116,101,109,98,101, 114,32,97,114,105,116,104,109,101,116,105,99,112,114,111,99,101,100,117,114,101, 115,109,105,103,104,116,32,104,97,118,101,80,114,111,100,117,99,116,105,111,110, 105,116,32,97,112,112,101,97,114,115,80,104,105,108,111,115,111,112,104,121,102, 114,105,101,110,100,115,104,105,112,108,101,97,100,105,110,103,32,116,111,103, 105,118,105,110,103,32,116,104,101,116,111,119,97,114,100,32,116,104,101,103,117 ,97,114,97,110,116,101,101,100,100,111,99,117,109,101,110,116,101,100,99,111,108 ,111,114,58,35,48,48,48,118,105,100,101,111,32,103,97,109,101,99,111,109,109,105 ,115,115,105,111,110,114,101,102,108,101,99,116,105,110,103,99,104,97,110,103, 101,32,116,104,101,97,115,115,111,99,105,97,116,101,100,115,97,110,115,45,115, 101,114,105,102,111,110,107,101,121,112,114,101,115,115,59,32,112,97,100,100,105 ,110,103,58,72,101,32,119,97,115,32,116,104,101,117,110,100,101,114,108,121,105, 110,103,116,121,112,105,99,97,108,108,121,32,44,32,97,110,100,32,116,104,101,32, 115,114,99,69,108,101,109,101,110,116,115,117,99,99,101,115,115,105,118,101,115, 105,110,99,101,32,116,104,101,32,115,104,111,117,108,100,32,98,101,32,110,101, 116,119,111,114,107,105,110,103,97,99,99,111,117,110,116,105,110,103,117,115,101 ,32,111,102,32,116,104,101,108,111,119,101,114,32,116,104,97,110,115,104,111,119 ,115,32,116,104,97,116,60,47,115,112,97,110,62,10,9,9,99,111,109,112,108,97,105, 110,116,115,99,111,110,116,105,110,117,111,117,115,113,117,97,110,116,105,116, 105,101,115,97,115,116,114,111,110,111,109,101,114,104,101,32,100,105,100,32,110 ,111,116,100,117,101,32,116,111,32,105,116,115,97,112,112,108,105,101,100,32,116 ,111,97,110,32,97,118,101,114,97,103,101,101,102,102,111,114,116,115,32,116,111, 116,104,101,32,102,117,116,117,114,101,97,116,116,101,109,112,116,32,116,111,84, 104,101,114,101,102,111,114,101,44,99,97,112,97,98,105,108,105,116,121,82,101, 112,117,98,108,105,99,97,110,119,97,115,32,102,111,114,109,101,100,69,108,101,99 ,116,114,111,110,105,99,107,105,108,111,109,101,116,101,114,115,99,104,97,108, 108,101,110,103,101,115,112,117,98,108,105,115,104,105,110,103,116,104,101,32, 102,111,114,109,101,114,105,110,100,105,103,101,110,111,117,115,100,105,114,101, 99,116,105,111,110,115,115,117,98,115,105,100,105,97,114,121,99,111,110,115,112, 105,114,97,99,121,100,101,116,97,105,108,115,32,111,102,97,110,100,32,105,110,32 ,116,104,101,97,102,102,111,114,100,97,98,108,101,115,117,98,115,116,97,110,99, 101,115,114,101,97,115,111,110,32,102,111,114,99,111,110,118,101,110,116,105,111 ,110,105,116,101,109,116,121,112,101,61,34,97,98,115,111,108,117,116,101,108,121 ,115,117,112,112,111,115,101,100,108,121,114,101,109,97,105,110,101,100,32,97,97 ,116,116,114,97,99,116,105,118,101,116,114,97,118,101,108,108,105,110,103,115, 101,112,97,114,97,116,101,108,121,102,111,99,117,115,101,115,32,111,110,101,108, 101,109,101,110,116,97,114,121,97,112,112,108,105,99,97,98,108,101,102,111,117, 110,100,32,116,104,97,116,115,116,121,108,101,115,104,101,101,116,109,97,110,117 ,115,99,114,105,112,116,115,116,97,110,100,115,32,102,111,114,32,110,111,45,114, 101,112,101,97,116,40,115,111,109,101,116,105,109,101,115,67,111,109,109,101,114 ,99,105,97,108,105,110,32,65,109,101,114,105,99,97,117,110,100,101,114,116,97, 107,101,110,113,117,97,114,116,101,114,32,111,102,97,110,32,101,120,97,109,112, 108,101,112,101,114,115,111,110,97,108,108,121,105,110,100,101,120,46,112,104, 112,63,60,47,98,117,116,116,111,110,62,10,112,101,114,99,101,110,116,97,103,101, 98,101,115,116,45,107,110,111,119,110,99,114,101,97,116,105,110,103,32,97,34,32, 100,105,114,61,34,108,116,114,76,105,101,117,116,101,110,97,110,116,10,60,100, 105,118,32,105,100,61,34,116,104,101,121,32,119,111,117,108,100,97,98,105,108, 105,116,121,32,111,102,109,97,100,101,32,117,112,32,111,102,110,111,116,101,100, 32,116,104,97,116,99,108,101,97,114,32,116,104,97,116,97,114,103,117,101,32,116, 104,97,116,116,111,32,97,110,111,116,104,101,114,99,104,105,108,100,114,101,110, 39,115,112,117,114,112,111,115,101,32,111,102,102,111,114,109,117,108,97,116,101 ,100,98,97,115,101,100,32,117,112,111,110,116,104,101,32,114,101,103,105,111,110 ,115,117,98,106,101,99,116,32,111,102,112,97,115,115,101,110,103,101,114,115,112 ,111,115,115,101,115,115,105,111,110,46,10,10,73,110,32,116,104,101,32,66,101, 102,111,114,101,32,116,104,101,97,102,116,101,114,119,97,114,100,115,99,117,114, 114,101,110,116,108,121,32,97,99,114,111,115,115,32,116,104,101,115,99,105,101, 110,116,105,102,105,99,99,111,109,109,117,110,105,116,121,46,99,97,112,105,116, 97,108,105,115,109,105,110,32,71,101,114,109,97,110,121,114,105,103,104,116,45, 119,105,110,103,116,104,101,32,115,121,115,116,101,109,83,111,99,105,101,116,121 ,32,111,102,112,111,108,105,116,105,99,105,97,110,100,105,114,101,99,116,105,111 ,110,58,119,101,110,116,32,111,110,32,116,111,114,101,109,111,118,97,108,32,111, 102,32,78,101,119,32,89,111,114,107,32,97,112,97,114,116,109,101,110,116,115,105 ,110,100,105,99,97,116,105,111,110,100,117,114,105,110,103,32,116,104,101,117, 110,108,101,115,115,32,116,104,101,104,105,115,116,111,114,105,99,97,108,104,97, 100,32,98,101,101,110,32,97,100,101,102,105,110,105,116,105,118,101,105,110,103, 114,101,100,105,101,110,116,97,116,116,101,110,100,97,110,99,101,67,101,110,116, 101,114,32,102,111,114,112,114,111,109,105,110,101,110,99,101,114,101,97,100,121 ,83,116,97,116,101,115,116,114,97,116,101,103,105,101,115,98,117,116,32,105,110, 32,116,104,101,97,115,32,112,97,114,116,32,111,102,99,111,110,115,116,105,116, 117,116,101,99,108,97,105,109,32,116,104,97,116,108,97,98,111,114,97,116,111,114 ,121,99,111,109,112,97,116,105,98,108,101,102,97,105,108,117,114,101,32,111,102, 44,32,115,117,99,104,32,97,115,32,98,101,103,97,110,32,119,105,116,104,117,115, 105,110,103,32,116,104,101,32,116,111,32,112,114,111,118,105,100,101,102,101,97, 116,117,114,101,32,111,102,102,114,111,109,32,119,104,105,99,104,47,34,32,99,108 ,97,115,115,61,34,103,101,111,108,111,103,105,99,97,108,115,101,118,101,114,97, 108,32,111,102,100,101,108,105,98,101,114,97,116,101,105,109,112,111,114,116,97, 110,116,32,104,111,108,100,115,32,116,104,97,116,105,110,103,38,113,117,111,116, 59,32,118,97,108,105,103,110,61,116,111,112,116,104,101,32,71,101,114,109,97,110 ,111,117,116,115,105,100,101,32,111,102,110,101,103,111,116,105,97,116,101,100, 104,105,115,32,99,97,114,101,101,114,115,101,112,97,114,97,116,105,111,110,105, 100,61,34,115,101,97,114,99,104,119,97,115,32,99,97,108,108,101,100,116,104,101, 32,102,111,117,114,116,104,114,101,99,114,101,97,116,105,111,110,111,116,104,101 ,114,32,116,104,97,110,112,114,101,118,101,110,116,105,111,110,119,104,105,108, 101,32,116,104,101,32,101,100,117,99,97,116,105,111,110,44,99,111,110,110,101,99 ,116,105,110,103,97,99,99,117,114,97,116,101,108,121,119,101,114,101,32,98,117, 105,108,116,119,97,115,32,107,105,108,108,101,100,97,103,114,101,101,109,101,110 ,116,115,109,117,99,104,32,109,111,114,101,32,68,117,101,32,116,111,32,116,104, 101,119,105,100,116,104,58,32,49,48,48,115,111,109,101,32,111,116,104,101,114,75 ,105,110,103,100,111,109,32,111,102,116,104,101,32,101,110,116,105,114,101,102, 97,109,111,117,115,32,102,111,114,116,111,32,99,111,110,110,101,99,116,111,98, 106,101,99,116,105,118,101,115,116,104,101,32,70,114,101,110,99,104,112,101,111, 112,108,101,32,97,110,100,102,101,97,116,117,114,101,100,34,62,105,115,32,115,97 ,105,100,32,116,111,115,116,114,117,99,116,117,114,97,108,114,101,102,101,114, 101,110,100,117,109,109,111,115,116,32,111,102,116,101,110,97,32,115,101,112,97, 114,97,116,101,45,62,10,60,100,105,118,32,105,100,32,79,102,102,105,99,105,97, 108,32,119,111,114,108,100,119,105,100,101,46,97,114,105,97,45,108,97,98,101,108 ,116,104,101,32,112,108,97,110,101,116,97,110,100,32,105,116,32,119,97,115,100, 34,32,118,97,108,117,101,61,34,108,111,111,107,105,110,103,32,97,116,98,101,110, 101,102,105,99,105,97,108,97,114,101,32,105,110,32,116,104,101,109,111,110,105, 116,111,114,105,110,103,114,101,112,111,114,116,101,100,108,121,116,104,101,32, 109,111,100,101,114,110,119,111,114,107,105,110,103,32,111,110,97,108,108,111, 119,101,100,32,116,111,119,104,101,114,101,32,116,104,101,32,105,110,110,111,118 ,97,116,105,118,101,60,47,97,62,60,47,100,105,118,62,115,111,117,110,100,116,114 ,97,99,107,115,101,97,114,99,104,70,111,114,109,116,101,110,100,32,116,111,32,98 ,101,105,110,112,117,116,32,105,100,61,34,111,112,101,110,105,110,103,32,111,102 ,114,101,115,116,114,105,99,116,101,100,97,100,111,112,116,101,100,32,98,121,97, 100,100,114,101,115,115,105,110,103,116,104,101,111,108,111,103,105,97,110,109, 101,116,104,111,100,115,32,111,102,118,97,114,105,97,110,116,32,111,102,67,104, 114,105,115,116,105,97,110,32,118,101,114,121,32,108,97,114,103,101,97,117,116, 111,109,111,116,105,118,101,98,121,32,102,97,114,32,116,104,101,114,97,110,103, 101,32,102,114,111,109,112,117,114,115,117,105,116,32,111,102,102,111,108,108, 111,119,32,116,104,101,98,114,111,117,103,104,116,32,116,111,105,110,32,69,110, 103,108,97,110,100,97,103,114,101,101,32,116,104,97,116,97,99,99,117,115,101,100 ,32,111,102,99,111,109,101,115,32,102,114,111,109,112,114,101,118,101,110,116, 105,110,103,100,105,118,32,115,116,121,108,101,61,104,105,115,32,111,114,32,104, 101,114,116,114,101,109,101,110,100,111,117,115,102,114,101,101,100,111,109,32, 111,102,99,111,110,99,101,114,110,105,110,103,48,32,49,101,109,32,49,101,109,59, 66,97,115,107,101,116,98,97,108,108,47,115,116,121,108,101,46,99,115,115,97,110, 32,101,97,114,108,105,101,114,101,118,101,110,32,97,102,116,101,114,47,34,32,116 ,105,116,108,101,61,34,46,99,111,109,47,105,110,100,101,120,116,97,107,105,110, 103,32,116,104,101,112,105,116,116,115,98,117,114,103,104,99,111,110,116,101,110 ,116,34,62,13,60,115,99,114,105,112,116,62,40,102,116,117,114,110,101,100,32,111 ,117,116,104,97,118,105,110,103,32,116,104,101,60,47,115,112,97,110,62,13,10,32, 111,99,99,97,115,105,111,110,97,108,98,101,99,97,117,115,101,32,105,116,115,116, 97,114,116,101,100,32,116,111,112,104,121,115,105,99,97,108,108,121,62,60,47,100 ,105,118,62,10,32,32,99,114,101,97,116,101,100,32,98,121,67,117,114,114,101,110, 116,108,121,44,32,98,103,99,111,108,111,114,61,34,116,97,98,105,110,100,101,120, 61,34,100,105,115,97,115,116,114,111,117,115,65,110,97,108,121,116,105,99,115,32 ,97,108,115,111,32,104,97,115,32,97,62,60,100,105,118,32,105,100,61,34,60,47,115 ,116,121,108,101,62,10,60,99,97,108,108,101,100,32,102,111,114,115,105,110,103, 101,114,32,97,110,100,46,115,114,99,32,61,32,34,47,47,118,105,111,108,97,116,105 ,111,110,115,116,104,105,115,32,112,111,105,110,116,99,111,110,115,116,97,110, 116,108,121,105,115,32,108,111,99,97,116,101,100,114,101,99,111,114,100,105,110, 103,115,100,32,102,114,111,109,32,116,104,101,110,101,100,101,114,108,97,110,100 ,115,112,111,114,116,117,103,117,195,170,115,215,162,215,145,215,168,215,153,215 ,170,217,129,216,167,216,177,216,179,219,140,100,101,115,97,114,114,111,108,108, 111,99,111,109,101,110,116,97,114,105,111,101,100,117,99,97,99,105,195,179,110, 115,101,112,116,105,101,109,98,114,101,114,101,103,105,115,116,114,97,100,111, 100,105,114,101,99,99,105,195,179,110,117,98,105,99,97,99,105,195,179,110,112, 117,98,108,105,99,105,100,97,100,114,101,115,112,117,101,115,116,97,115,114,101, 115,117,108,116,97,100,111,115,105,109,112,111,114,116,97,110,116,101,114,101, 115,101,114,118,97,100,111,115,97,114,116,195,173,99,117,108,111,115,100,105,102 ,101,114,101,110,116,101,115,115,105,103,117,105,101,110,116,101,115,114,101,112 ,195,186,98,108,105,99,97,115,105,116,117,97,99,105,195,179,110,109,105,110,105, 115,116,101,114,105,111,112,114,105,118,97,99,105,100,97,100,100,105,114,101,99, 116,111,114,105,111,102,111,114,109,97,99,105,195,179,110,112,111,98,108,97,99, 105,195,179,110,112,114,101,115,105,100,101,110,116,101,99,111,110,116,101,110, 105,100,111,115,97,99,99,101,115,111,114,105,111,115,116,101,99,104,110,111,114, 97,116,105,112,101,114,115,111,110,97,108,101,115,99,97,116,101,103,111,114,195, 173,97,101,115,112,101,99,105,97,108,101,115,100,105,115,112,111,110,105,98,108, 101,97,99,116,117,97,108,105,100,97,100,114,101,102,101,114,101,110,99,105,97, 118,97,108,108,97,100,111,108,105,100,98,105,98,108,105,111,116,101,99,97,114, 101,108,97,99,105,111,110,101,115,99,97,108,101,110,100,97,114,105,111,112,111, 108,195,173,116,105,99,97,115,97,110,116,101,114,105,111,114,101,115,100,111,99, 117,109,101,110,116,111,115,110,97,116,117,114,97,108,101,122,97,109,97,116,101, 114,105,97,108,101,115,100,105,102,101,114,101,110,99,105,97,101,99,111,110,195, 179,109,105,99,97,116,114,97,110,115,112,111,114,116,101,114,111,100,114,195,173 ,103,117,101,122,112,97,114,116,105,99,105,112,97,114,101,110,99,117,101,110,116 ,114,97,110,100,105,115,99,117,115,105,195,179,110,101,115,116,114,117,99,116, 117,114,97,102,117,110,100,97,99,105,195,179,110,102,114,101,99,117,101,110,116, 101,115,112,101,114,109,97,110,101,110,116,101,116,111,116,97,108,109,101,110, 116,101,208,188,208,190,208,182,208,189,208,190,208,177,209,131,208,180,208,181, 209,130,208,188,208,190,208,182,208,181,209,130,208,178,209,128,208,181,208,188, 209,143,209,130,208,176,208,186,208,182,208,181,209,135,209,130,208,190,208,177, 209,139,208,177,208,190,208,187,208,181,208,181,208,190,209,135,208,181,208,189, 209,140,209,141,209,130,208,190,208,179,208,190,208,186,208,190,208,179,208,180, 208,176,208,191,208,190,209,129,208,187,208,181,208,178,209,129,208,181,208,179, 208,190,209,129,208,176,208,185,209,130,208,181,209,135,208,181,209,128,208,181, 208,183,208,188,208,190,208,179,209,131,209,130,209,129,208,176,208,185,209,130, 208,176,208,182,208,184,208,183,208,189,208,184,208,188,208,181,208,182,208,180, 209,131,208,177,209,131,208,180,209,131,209,130,208,159,208,190,208,184,209,129, 208,186,208,183,208,180,208,181,209,129,209,140,208,178,208,184,208,180,208,181, 208,190,209,129,208,178,209,143,208,183,208,184,208,189,209,131,208,182,208,189, 208,190,209,129,208,178,208,190,208,181,208,185,208,187,209,142,208,180,208,181, 208,185,208,191,208,190,209,128,208,189,208,190,208,188,208,189,208,190,208,179, 208,190,208,180,208,181,209,130,208,181,208,185,209,129,208,178,208,190,208,184, 209,133,208,191,209,128,208,176,208,178,208,176,209,130,208,176,208,186,208,190, 208,185,208,188,208,181,209,129,209,130,208,190,208,184,208,188,208,181,208,181, 209,130,208,182,208,184,208,183,208,189,209,140,208,190,208,180,208,189,208,190, 208,185,208,187,209,131,209,135,209,136,208,181,208,191,208,181,209,128,208,181, 208,180,209,135,208,176,209,129,209,130,208,184,209,135,208,176,209,129,209,130, 209,140,209,128,208,176,208,177,208,190,209,130,208,189,208,190,208,178,209,139, 209,133,208,191,209,128,208,176,208,178,208,190,209,129,208,190,208,177,208,190, 208,185,208,191,208,190,209,130,208,190,208,188,208,188,208,181,208,189,208,181, 208,181,209,135,208,184,209,129,208,187,208,181,208,189,208,190,208,178,209,139, 208,181,209,131,209,129,208,187,209,131,208,179,208,190,208,186,208,190,208,187, 208,190,208,189,208,176,208,183,208,176,208,180,209,130,208,176,208,186,208,190, 208,181,209,130,208,190,208,179,208,180,208,176,208,191,208,190,209,135,209,130, 208,184,208,159,208,190,209,129,208,187,208,181,209,130,208,176,208,186,208,184, 208,181,208,189,208,190,208,178,209,139,208,185,209,129,209,130,208,190,208,184, 209,130,209,130,208,176,208,186,208,184,209,133,209,129,209,128,208,176,208,183, 209,131,208,161,208,176,208,189,208,186,209,130,209,132,208,190,209,128,209,131, 208,188,208,154,208,190,208,179,208,180,208,176,208,186,208,189,208,184,208,179, 208,184,209,129,208,187,208,190,208,178,208,176,208,189,208,176,209,136,208,181, 208,185,208,189,208,176,208,185,209,130,208,184,209,129,208,178,208,190,208,184, 208,188,209,129,208,178,209,143,208,183,209,140,208,187,209,142,208,177,208,190, 208,185,209,135,208,176,209,129,209,130,208,190,209,129,209,128,208,181,208,180, 208,184,208,154,209,128,208,190,208,188,208,181,208,164,208,190,209,128,209,131, 208,188,209,128,209,139,208,189,208,186,208,181,209,129,209,130,208,176,208,187, 208,184,208,191,208,190,208,184,209,129,208,186,209,130,209,139,209,129,209,143, 209,135,208,188,208,181,209,129,209,143,209,134,209,134,208,181,208,189,209,130, 209,128,209,130,209,128,209,131,208,180,208,176,209,129,208,176,208,188,209,139, 209,133,209,128,209,139,208,189,208,186,208,176,208,157,208,190,208,178,209,139, 208,185,209,135,208,176,209,129,208,190,208,178,208,188,208,181,209,129,209,130, 208,176,209,132,208,184,208,187,209,140,208,188,208,188,208,176,209,128,209,130, 208,176,209,129,209,130,209,128,208,176,208,189,208,188,208,181,209,129,209,130, 208,181,209,130,208,181,208,186,209,129,209,130,208,189,208,176,209,136,208,184, 209,133,208,188,208,184,208,189,209,131,209,130,208,184,208,188,208,181,208,189, 208,184,208,184,208,188,208,181,209,142,209,130,208,189,208,190,208,188,208,181, 209,128,208,179,208,190,209,128,208,190,208,180,209,129,208,176,208,188,208,190, 208,188,209,141,209,130,208,190,208,188,209,131,208,186,208,190,208,189,209,134, 208,181,209,129,208,178,208,190,208,181,208,188,208,186,208,176,208,186,208,190, 208,185,208,144,209,128,209,133,208,184,208,178,217,133,217,134,216,170,216,175, 217,137,216,165,216,177,216,179,216,167,217,132,216,177,216,179,216,167,217,132, 216,169,216,167,217,132,216,185,216,167,217,133,217,131,216,170,216,168,217,135, 216,167,216,168,216,177,216,167,217,133,216,172,216,167,217,132,217,138,217,136, 217,133,216,167,217,132,216,181,217,136,216,177,216,172,216,175,217,138,216,175, 216,169,216,167,217,132,216,185,216,182,217,136,216,165,216,182,216,167,217,129, 216,169,216,167,217,132,217,130,216,179,217,133,216,167,217,132,216,185,216,167, 216,168,216,170,216,173,217,133,217,138,217,132,217,133,217,132,217,129,216,167, 216,170,217,133,217,132,216,170,217,130,217,137,216,170,216,185,216,175,217,138, 217,132,216,167,217,132,216,180,216,185,216,177,216,163,216,174,216,168,216,167, 216,177,216,170,216,183,217,136,217,138,216,177,216,185,217,132,217,138,217,131, 217,133,216,165,216,177,217,129,216,167,217,130,216,183,217,132,216,168,216,167, 216,170,216,167,217,132,217,132,216,186,216,169,216,170,216,177,216,170,217,138, 216,168,216,167,217,132,217,134,216,167,216,179,216,167,217,132,216,180,217,138, 216,174,217,133,217,134,216,170,216,175,217,138,216,167,217,132,216,185,216,177, 216,168,216,167,217,132,217,130,216,181,216,181,216,167,217,129,217,132,216,167, 217,133,216,185,217,132,217,138,217,135,216,167,216,170,216,173,216,175,217,138, 216,171,216,167,217,132,217,132,217,135,217,133,216,167,217,132,216,185,217,133, 217,132,217,133,217,131,216,170,216,168,216,169,217,138,217,133,217,131,217,134, 217,131,216,167,217,132,216,183,217,129,217,132,217,129,217,138,216,175,217,138, 217,136,216,165,216,175,216,167,216,177,216,169,216,170,216,167,216,177,217,138, 216,174,216,167,217,132,216,181,216,173,216,169,216,170,216,179,216,172,217,138, 217,132,216,167,217,132,217,136,217,130,216,170,216,185,217,134,216,175,217,133, 216,167,217,133,216,175,217,138,217,134,216,169,216,170,216,181,217,133,217,138, 217,133,216,163,216,177,216,180,217,138,217,129,216,167,217,132,216,176,217,138, 217,134,216,185,216,177,216,168,217,138,216,169,216,168,217,136,216,167,216,168, 216,169,216,163,217,132,216,185,216,167,216,168,216,167,217,132,216,179,217,129, 216,177,217,133,216,180,216,167,217,131,217,132,216,170,216,185,216,167,217,132, 217,137,216,167,217,132,216,163,217,136,217,132,216,167,217,132,216,179,217,134, 216,169,216,172,216,167,217,133,216,185,216,169,216,167,217,132,216,181,216,173, 217,129,216,167,217,132,216,175,217,138,217,134,217,131,217,132,217,133,216,167, 216,170,216,167,217,132,216,174,216,167,216,181,216,167,217,132,217,133,217,132, 217,129,216,163,216,185,216,182,216,167,216,161,217,131,216,170,216,167,216,168, 216,169,216,167,217,132,216,174,217,138,216,177,216,177,216,179,216,167,216,166, 217,132,216,167,217,132,217,130,217,132,216,168,216,167,217,132,216,163,216,175, 216,168,217,133,217,130,216,167,216,183,216,185,217,133,216,177,216,167,216,179, 217,132,217,133,217,134,216,183,217,130,216,169,216,167,217,132,217,131,216,170, 216,168,216,167,217,132,216,177,216,172,217,132,216,167,216,180,216,170,216,177, 217,131,216,167,217,132,217,130,216,175,217,133,217,138,216,185,216,183,217,138, 217,131,115,66,121,84,97,103,78,97,109,101,40,46,106,112,103,34,32,97,108,116,61 ,34,49,112,120,32,115,111,108,105,100,32,35,46,103,105,102,34,32,97,108,116,61, 34,116,114,97,110,115,112,97,114,101,110,116,105,110,102,111,114,109,97,116,105, 111,110,97,112,112,108,105,99,97,116,105,111,110,34,32,111,110,99,108,105,99,107 ,61,34,101,115,116,97,98,108,105,115,104,101,100,97,100,118,101,114,116,105,115, 105,110,103,46,112,110,103,34,32,97,108,116,61,34,101,110,118,105,114,111,110, 109,101,110,116,112,101,114,102,111,114,109,97,110,99,101,97,112,112,114,111,112 ,114,105,97,116,101,38,97,109,112,59,109,100,97,115,104,59,105,109,109,101,100, 105,97,116,101,108,121,60,47,115,116,114,111,110,103,62,60,47,114,97,116,104,101 ,114,32,116,104,97,110,116,101,109,112,101,114,97,116,117,114,101,100,101,118, 101,108,111,112,109,101,110,116,99,111,109,112,101,116,105,116,105,111,110,112, 108,97,99,101,104,111,108,100,101,114,118,105,115,105,98,105,108,105,116,121,58, 99,111,112,121,114,105,103,104,116,34,62,48,34,32,104,101,105,103,104,116,61,34, 101,118,101,110,32,116,104,111,117,103,104,114,101,112,108,97,99,101,109,101,110 ,116,100,101,115,116,105,110,97,116,105,111,110,67,111,114,112,111,114,97,116, 105,111,110,60,117,108,32,99,108,97,115,115,61,34,65,115,115,111,99,105,97,116, 105,111,110,105,110,100,105,118,105,100,117,97,108,115,112,101,114,115,112,101, 99,116,105,118,101,115,101,116,84,105,109,101,111,117,116,40,117,114,108,40,104, 116,116,112,58,47,47,109,97,116,104,101,109,97,116,105,99,115,109,97,114,103,105 ,110,45,116,111,112,58,101,118,101,110,116,117,97,108,108,121,32,100,101,115,99, 114,105,112,116,105,111,110,41,32,110,111,45,114,101,112,101,97,116,99,111,108, 108,101,99,116,105,111,110,115,46,74,80,71,124,116,104,117,109,98,124,112,97,114 ,116,105,99,105,112,97,116,101,47,104,101,97,100,62,60,98,111,100,121,102,108, 111,97,116,58,108,101,102,116,59,60,108,105,32,99,108,97,115,115,61,34,104,117, 110,100,114,101,100,115,32,111,102,10,10,72,111,119,101,118,101,114,44,32,99,111 ,109,112,111,115,105,116,105,111,110,99,108,101,97,114,58,98,111,116,104,59,99, 111,111,112,101,114,97,116,105,111,110,119,105,116,104,105,110,32,116,104,101,32 ,108,97,98,101,108,32,102,111,114,61,34,98,111,114,100,101,114,45,116,111,112,58 ,78,101,119,32,90,101,97,108,97,110,100,114,101,99,111,109,109,101,110,100,101, 100,112,104,111,116,111,103,114,97,112,104,121,105,110,116,101,114,101,115,116, 105,110,103,38,108,116,59,115,117,112,38,103,116,59,99,111,110,116,114,111,118, 101,114,115,121,78,101,116,104,101,114,108,97,110,100,115,97,108,116,101,114,110 ,97,116,105,118,101,109,97,120,108,101,110,103,116,104,61,34,115,119,105,116,122 ,101,114,108,97,110,100,68,101,118,101,108,111,112,109,101,110,116,101,115,115, 101,110,116,105,97,108,108,121,10,10,65,108,116,104,111,117,103,104,32,60,47,116 ,101,120,116,97,114,101,97,62,116,104,117,110,100,101,114,98,105,114,100,114,101 ,112,114,101,115,101,110,116,101,100,38,97,109,112,59,110,100,97,115,104,59,115, 112,101,99,117,108,97,116,105,111,110,99,111,109,109,117,110,105,116,105,101,115 ,108,101,103,105,115,108,97,116,105,111,110,101,108,101,99,116,114,111,110,105, 99,115,10,9,60,100,105,118,32,105,100,61,34,105,108,108,117,115,116,114,97,116, 101,100,101,110,103,105,110,101,101,114,105,110,103,116,101,114,114,105,116,111, 114,105,101,115,97,117,116,104,111,114,105,116,105,101,115,100,105,115,116,114, 105,98,117,116,101,100,54,34,32,104,101,105,103,104,116,61,34,115,97,110,115,45, 115,101,114,105,102,59,99,97,112,97,98,108,101,32,111,102,32,100,105,115,97,112, 112,101,97,114,101,100,105,110,116,101,114,97,99,116,105,118,101,108,111,111,107 ,105,110,103,32,102,111,114,105,116,32,119,111,117,108,100,32,98,101,65,102,103, 104,97,110,105,115,116,97,110,119,97,115,32,99,114,101,97,116,101,100,77,97,116, 104,46,102,108,111,111,114,40,115,117,114,114,111,117,110,100,105,110,103,99,97, 110,32,97,108,115,111,32,98,101,111,98,115,101,114,118,97,116,105,111,110,109,97 ,105,110,116,101,110,97,110,99,101,101,110,99,111,117,110,116,101,114,101,100,60 ,104,50,32,99,108,97,115,115,61,34,109,111,114,101,32,114,101,99,101,110,116,105 ,116,32,104,97,115,32,98,101,101,110,105,110,118,97,115,105,111,110,32,111,102, 41,46,103,101,116,84,105,109,101,40,41,102,117,110,100,97,109,101,110,116,97,108 ,68,101,115,112,105,116,101,32,116,104,101,34,62,60,100,105,118,32,105,100,61,34 ,105,110,115,112,105,114,97,116,105,111,110,101,120,97,109,105,110,97,116,105, 111,110,112,114,101,112,97,114,97,116,105,111,110,101,120,112,108,97,110,97,116, 105,111,110,60,105,110,112,117,116,32,105,100,61,34,60,47,97,62,60,47,115,112,97 ,110,62,118,101,114,115,105,111,110,115,32,111,102,105,110,115,116,114,117,109, 101,110,116,115,98,101,102,111,114,101,32,116,104,101,32,32,61,32,39,104,116,116 ,112,58,47,47,68,101,115,99,114,105,112,116,105,111,110,114,101,108,97,116,105, 118,101,108,121,32,46,115,117,98,115,116,114,105,110,103,40,101,97,99,104,32,111 ,102,32,116,104,101,101,120,112,101,114,105,109,101,110,116,115,105,110,102,108, 117,101,110,116,105,97,108,105,110,116,101,103,114,97,116,105,111,110,109,97,110 ,121,32,112,101,111,112,108,101,100,117,101,32,116,111,32,116,104,101,32,99,111, 109,98,105,110,97,116,105,111,110,100,111,32,110,111,116,32,104,97,118,101,77, 105,100,100,108,101,32,69,97,115,116,60,110,111,115,99,114,105,112,116,62,60,99, 111,112,121,114,105,103,104,116,34,32,112,101,114,104,97,112,115,32,116,104,101, 105,110,115,116,105,116,117,116,105,111,110,105,110,32,68,101,99,101,109,98,101, 114,97,114,114,97,110,103,101,109,101,110,116,109,111,115,116,32,102,97,109,111, 117,115,112,101,114,115,111,110,97,108,105,116,121,99,114,101,97,116,105,111,110 ,32,111,102,108,105,109,105,116,97,116,105,111,110,115,101,120,99,108,117,115, 105,118,101,108,121,115,111,118,101,114,101,105,103,110,116,121,45,99,111,110, 116,101,110,116,34,62,10,60,116,100,32,99,108,97,115,115,61,34,117,110,100,101, 114,103,114,111,117,110,100,112,97,114,97,108,108,101,108,32,116,111,100,111,99, 116,114,105,110,101,32,111,102,111,99,99,117,112,105,101,100,32,98,121,116,101, 114,109,105,110,111,108,111,103,121,82,101,110,97,105,115,115,97,110,99,101,97, 32,110,117,109,98,101,114,32,111,102,115,117,112,112,111,114,116,32,102,111,114, 101,120,112,108,111,114,97,116,105,111,110,114,101,99,111,103,110,105,116,105, 111,110,112,114,101,100,101,99,101,115,115,111,114,60,105,109,103,32,115,114,99, 61,34,47,60,104,49,32,99,108,97,115,115,61,34,112,117,98,108,105,99,97,116,105, 111,110,109,97,121,32,97,108,115,111,32,98,101,115,112,101,99,105,97,108,105,122 ,101,100,60,47,102,105,101,108,100,115,101,116,62,112,114,111,103,114,101,115, 115,105,118,101,109,105,108,108,105,111,110,115,32,111,102,115,116,97,116,101, 115,32,116,104,97,116,101,110,102,111,114,99,101,109,101,110,116,97,114,111,117, 110,100,32,116,104,101,32,111,110,101,32,97,110,111,116,104,101,114,46,112,97, 114,101,110,116,78,111,100,101,97,103,114,105,99,117,108,116,117,114,101,65,108, 116,101,114,110,97,116,105,118,101,114,101,115,101,97,114,99,104,101,114,115,116 ,111,119,97,114,100,115,32,116,104,101,77,111,115,116,32,111,102,32,116,104,101, 109,97,110,121,32,111,116,104,101,114,32,40,101,115,112,101,99,105,97,108,108, 121,60,116,100,32,119,105,100,116,104,61,34,59,119,105,100,116,104,58,49,48,48, 37,105,110,100,101,112,101,110,100,101,110,116,60,104,51,32,99,108,97,115,115,61 ,34,32,111,110,99,104,97,110,103,101,61,34,41,46,97,100,100,67,108,97,115,115,40 ,105,110,116,101,114,97,99,116,105,111,110,79,110,101,32,111,102,32,116,104,101, 32,100,97,117,103,104,116,101,114,32,111,102,97,99,99,101,115,115,111,114,105, 101,115,98,114,97,110,99,104,101,115,32,111,102,13,10,60,100,105,118,32,105,100, 61,34,116,104,101,32,108,97,114,103,101,115,116,100,101,99,108,97,114,97,116,105 ,111,110,114,101,103,117,108,97,116,105,111,110,115,73,110,102,111,114,109,97, 116,105,111,110,116,114,97,110,115,108,97,116,105,111,110,100,111,99,117,109,101 ,110,116,97,114,121,105,110,32,111,114,100,101,114,32,116,111,34,62,10,60,104, 101,97,100,62,10,60,34,32,104,101,105,103,104,116,61,34,49,97,99,114,111,115,115 ,32,116,104,101,32,111,114,105,101,110,116,97,116,105,111,110,41,59,60,47,115,99 ,114,105,112,116,62,105,109,112,108,101,109,101,110,116,101,100,99,97,110,32,98, 101,32,115,101,101,110,116,104,101,114,101,32,119,97,115,32,97,100,101,109,111, 110,115,116,114,97,116,101,99,111,110,116,97,105,110,101,114,34,62,99,111,110, 110,101,99,116,105,111,110,115,116,104,101,32,66,114,105,116,105,115,104,119,97, 115,32,119,114,105,116,116,101,110,33,105,109,112,111,114,116,97,110,116,59,112, 120,59,32,109,97,114,103,105,110,45,102,111,108,108,111,119,101,100,32,98,121,97 ,98,105,108,105,116,121,32,116,111,32,99,111,109,112,108,105,99,97,116,101,100, 100,117,114,105,110,103,32,116,104,101,32,105,109,109,105,103,114,97,116,105,111 ,110,97,108,115,111,32,99,97,108,108,101,100,60,104,52,32,99,108,97,115,115,61, 34,100,105,115,116,105,110,99,116,105,111,110,114,101,112,108,97,99,101,100,32, 98,121,103,111,118,101,114,110,109,101,110,116,115,108,111,99,97,116,105,111,110 ,32,111,102,105,110,32,78,111,118,101,109,98,101,114,119,104,101,116,104,101,114 ,32,116,104,101,60,47,112,62,10,60,47,100,105,118,62,97,99,113,117,105,115,105, 116,105,111,110,99,97,108,108,101,100,32,116,104,101,32,112,101,114,115,101,99, 117,116,105,111,110,100,101,115,105,103,110,97,116,105,111,110,123,102,111,110, 116,45,115,105,122,101,58,97,112,112,101,97,114,101,100,32,105,110,105,110,118, 101,115,116,105,103,97,116,101,101,120,112,101,114,105,101,110,99,101,100,109, 111,115,116,32,108,105,107,101,108,121,119,105,100,101,108,121,32,117,115,101, 100,100,105,115,99,117,115,115,105,111,110,115,112,114,101,115,101,110,99,101,32 ,111,102,32,40,100,111,99,117,109,101,110,116,46,101,120,116,101,110,115,105,118 ,101,108,121,73,116,32,104,97,115,32,98,101,101,110,105,116,32,100,111,101,115, 32,110,111,116,99,111,110,116,114,97,114,121,32,116,111,105,110,104,97,98,105, 116,97,110,116,115,105,109,112,114,111,118,101,109,101,110,116,115,99,104,111, 108,97,114,115,104,105,112,99,111,110,115,117,109,112,116,105,111,110,105,110, 115,116,114,117,99,116,105,111,110,102,111,114,32,101,120,97,109,112,108,101,111 ,110,101,32,111,114,32,109,111,114,101,112,120,59,32,112,97,100,100,105,110,103, 116,104,101,32,99,117,114,114,101,110,116,97,32,115,101,114,105,101,115,32,111, 102,97,114,101,32,117,115,117,97,108,108,121,114,111,108,101,32,105,110,32,116, 104,101,112,114,101,118,105,111,117,115,108,121,32,100,101,114,105,118,97,116, 105,118,101,115,101,118,105,100,101,110,99,101,32,111,102,101,120,112,101,114, 105,101,110,99,101,115,99,111,108,111,114,115,99,104,101,109,101,115,116,97,116, 101,100,32,116,104,97,116,99,101,114,116,105,102,105,99,97,116,101,60,47,97,62, 60,47,100,105,118,62,10,32,115,101,108,101,99,116,101,100,61,34,104,105,103,104, 32,115,99,104,111,111,108,114,101,115,112,111,110,115,101,32,116,111,99,111,109, 102,111,114,116,97,98,108,101,97,100,111,112,116,105,111,110,32,111,102,116,104, 114,101,101,32,121,101,97,114,115,116,104,101,32,99,111,117,110,116,114,121,105, 110,32,70,101,98,114,117,97,114,121,115,111,32,116,104,97,116,32,116,104,101,112 ,101,111,112,108,101,32,119,104,111,32,112,114,111,118,105,100,101,100,32,98,121 ,60,112,97,114,97,109,32,110,97,109,101,97,102,102,101,99,116,101,100,32,98,121, 105,110,32,116,101,114,109,115,32,111,102,97,112,112,111,105,110,116,109,101,110 ,116,73,83,79,45,56,56,53,57,45,49,34,119,97,115,32,98,111,114,110,32,105,110, 104,105,115,116,111,114,105,99,97,108,32,114,101,103,97,114,100,101,100,32,97, 115,109,101,97,115,117,114,101,109,101,110,116,105,115,32,98,97,115,101,100,32, 111,110,32,97,110,100,32,111,116,104,101,114,32,58,32,102,117,110,99,116,105,111 ,110,40,115,105,103,110,105,102,105,99,97,110,116,99,101,108,101,98,114,97,116, 105,111,110,116,114,97,110,115,109,105,116,116,101,100,47,106,115,47,106,113,117 ,101,114,121,46,105,115,32,107,110,111,119,110,32,97,115,116,104,101,111,114,101 ,116,105,99,97,108,32,116,97,98,105,110,100,101,120,61,34,105,116,32,99,111,117, 108,100,32,98,101,60,110,111,115,99,114,105,112,116,62,10,104,97,118,105,110,103 ,32,98,101,101,110,13,10,60,104,101,97,100,62,13,10,60,32,38,113,117,111,116,59, 84,104,101,32,99,111,109,112,105,108,97,116,105,111,110,104,101,32,104,97,100,32 ,98,101,101,110,112,114,111,100,117,99,101,100,32,98,121,112,104,105,108,111,115 ,111,112,104,101,114,99,111,110,115,116,114,117,99,116,101,100,105,110,116,101, 110,100,101,100,32,116,111,97,109,111,110,103,32,111,116,104,101,114,99,111,109, 112,97,114,101,100,32,116,111,116,111,32,115,97,121,32,116,104,97,116,69,110,103 ,105,110,101,101,114,105,110,103,97,32,100,105,102,102,101,114,101,110,116,114, 101,102,101,114,114,101,100,32,116,111,100,105,102,102,101,114,101,110,99,101, 115,98,101,108,105,101,102,32,116,104,97,116,112,104,111,116,111,103,114,97,112, 104,115,105,100,101,110,116,105,102,121,105,110,103,72,105,115,116,111,114,121, 32,111,102,32,82,101,112,117,98,108,105,99,32,111,102,110,101,99,101,115,115,97, 114,105,108,121,112,114,111,98,97,98,105,108,105,116,121,116,101,99,104,110,105, 99,97,108,108,121,108,101,97,118,105,110,103,32,116,104,101,115,112,101,99,116, 97,99,117,108,97,114,102,114,97,99,116,105,111,110,32,111,102,101,108,101,99,116 ,114,105,99,105,116,121,104,101,97,100,32,111,102,32,116,104,101,114,101,115,116 ,97,117,114,97,110,116,115,112,97,114,116,110,101,114,115,104,105,112,101,109, 112,104,97,115,105,115,32,111,110,109,111,115,116,32,114,101,99,101,110,116,115, 104,97,114,101,32,119,105,116,104,32,115,97,121,105,110,103,32,116,104,97,116, 102,105,108,108,101,100,32,119,105,116,104,100,101,115,105,103,110,101,100,32, 116,111,105,116,32,105,115,32,111,102,116,101,110,34,62,60,47,105,102,114,97,109 ,101,62,97,115,32,102,111,108,108,111,119,115,58,109,101,114,103,101,100,32,119, 105,116,104,116,104,114,111,117,103,104,32,116,104,101,99,111,109,109,101,114,99 ,105,97,108,32,112,111,105,110,116,101,100,32,111,117,116,111,112,112,111,114, 116,117,110,105,116,121,118,105,101,119,32,111,102,32,116,104,101,114,101,113, 117,105,114,101,109,101,110,116,100,105,118,105,115,105,111,110,32,111,102,112, 114,111,103,114,97,109,109,105,110,103,104,101,32,114,101,99,101,105,118,101,100 ,115,101,116,73,110,116,101,114,118,97,108,34,62,60,47,115,112,97,110,62,60,47, 105,110,32,78,101,119,32,89,111,114,107,97,100,100,105,116,105,111,110,97,108,32 ,99,111,109,112,114,101,115,115,105,111,110,10,10,60,100,105,118,32,105,100,61, 34,105,110,99,111,114,112,111,114,97,116,101,59,60,47,115,99,114,105,112,116,62, 60,97,116,116,97,99,104,69,118,101,110,116,98,101,99,97,109,101,32,116,104,101, 32,34,32,116,97,114,103,101,116,61,34,95,99,97,114,114,105,101,100,32,111,117, 116,83,111,109,101,32,111,102,32,116,104,101,115,99,105,101,110,99,101,32,97,110 ,100,116,104,101,32,116,105,109,101,32,111,102,67,111,110,116,97,105,110,101,114 ,34,62,109,97,105,110,116,97,105,110,105,110,103,67,104,114,105,115,116,111,112, 104,101,114,77,117,99,104,32,111,102,32,116,104,101,119,114,105,116,105,110,103, 115,32,111,102,34,32,104,101,105,103,104,116,61,34,50,115,105,122,101,32,111,102 ,32,116,104,101,118,101,114,115,105,111,110,32,111,102,32,109,105,120,116,117, 114,101,32,111,102,32,98,101,116,119,101,101,110,32,116,104,101,69,120,97,109, 112,108,101,115,32,111,102,101,100,117,99,97,116,105,111,110,97,108,99,111,109, 112,101,116,105,116,105,118,101,32,111,110,115,117,98,109,105,116,61,34,100,105, 114,101,99,116,111,114,32,111,102,100,105,115,116,105,110,99,116,105,118,101,47, 68,84,68,32,88,72,84,77,76,32,114,101,108,97,116,105,110,103,32,116,111,116,101, 110,100,101,110,99,121,32,116,111,112,114,111,118,105,110,99,101,32,111,102,119, 104,105,99,104,32,119,111,117,108,100,100,101,115,112,105,116,101,32,116,104,101 ,115,99,105,101,110,116,105,102,105,99,32,108,101,103,105,115,108,97,116,117,114 ,101,46,105,110,110,101,114,72,84,77,76,32,97,108,108,101,103,97,116,105,111,110 ,115,65,103,114,105,99,117,108,116,117,114,101,119,97,115,32,117,115,101,100,32, 105,110,97,112,112,114,111,97,99,104,32,116,111,105,110,116,101,108,108,105,103, 101,110,116,121,101,97,114,115,32,108,97,116,101,114,44,115,97,110,115,45,115, 101,114,105,102,100,101,116,101,114,109,105,110,105,110,103,80,101,114,102,111, 114,109,97,110,99,101,97,112,112,101,97,114,97,110,99,101,115,44,32,119,104,105, 99,104,32,105,115,32,102,111,117,110,100,97,116,105,111,110,115,97,98,98,114,101 ,118,105,97,116,101,100,104,105,103,104,101,114,32,116,104,97,110,115,32,102,114 ,111,109,32,116,104,101,32,105,110,100,105,118,105,100,117,97,108,32,99,111,109, 112,111,115,101,100,32,111,102,115,117,112,112,111,115,101,100,32,116,111,99,108 ,97,105,109,115,32,116,104,97,116,97,116,116,114,105,98,117,116,105,111,110,102, 111,110,116,45,115,105,122,101,58,49,101,108,101,109,101,110,116,115,32,111,102, 72,105,115,116,111,114,105,99,97,108,32,104,105,115,32,98,114,111,116,104,101, 114,97,116,32,116,104,101,32,116,105,109,101,97,110,110,105,118,101,114,115,97, 114,121,103,111,118,101,114,110,101,100,32,98,121,114,101,108,97,116,101,100,32, 116,111,32,117,108,116,105,109,97,116,101,108,121,32,105,110,110,111,118,97,116, 105,111,110,115,105,116,32,105,115,32,115,116,105,108,108,99,97,110,32,111,110, 108,121,32,98,101,100,101,102,105,110,105,116,105,111,110,115,116,111,71,77,84, 83,116,114,105,110,103,65,32,110,117,109,98,101,114,32,111,102,105,109,103,32,99 ,108,97,115,115,61,34,69,118,101,110,116,117,97,108,108,121,44,119,97,115,32,99, 104,97,110,103,101,100,111,99,99,117,114,114,101,100,32,105,110,110,101,105,103, 104,98,111,114,105,110,103,100,105,115,116,105,110,103,117,105,115,104,119,104, 101,110,32,104,101,32,119,97,115,105,110,116,114,111,100,117,99,105,110,103,116, 101,114,114,101,115,116,114,105,97,108,77,97,110,121,32,111,102,32,116,104,101, 97,114,103,117,101,115,32,116,104,97,116,97,110,32,65,109,101,114,105,99,97,110, 99,111,110,113,117,101,115,116,32,111,102,119,105,100,101,115,112,114,101,97,100 ,32,119,101,114,101,32,107,105,108,108,101,100,115,99,114,101,101,110,32,97,110, 100,32,73,110,32,111,114,100,101,114,32,116,111,101,120,112,101,99,116,101,100, 32,116,111,100,101,115,99,101,110,100,97,110,116,115,97,114,101,32,108,111,99,97 ,116,101,100,108,101,103,105,115,108,97,116,105,118,101,103,101,110,101,114,97, 116,105,111,110,115,32,98,97,99,107,103,114,111,117,110,100,109,111,115,116,32, 112,101,111,112,108,101,121,101,97,114,115,32,97,102,116,101,114,116,104,101,114 ,101,32,105,115,32,110,111,116,104,101,32,104,105,103,104,101,115,116,102,114, 101,113,117,101,110,116,108,121,32,116,104,101,121,32,100,111,32,110,111,116,97, 114,103,117,101,100,32,116,104,97,116,115,104,111,119,101,100,32,116,104,97,116, 112,114,101,100,111,109,105,110,97,110,116,116,104,101,111,108,111,103,105,99,97 ,108,98,121,32,116,104,101,32,116,105,109,101,99,111,110,115,105,100,101,114,105 ,110,103,115,104,111,114,116,45,108,105,118,101,100,60,47,115,112,97,110,62,60, 47,97,62,99,97,110,32,98,101,32,117,115,101,100,118,101,114,121,32,108,105,116, 116,108,101,111,110,101,32,111,102,32,116,104,101,32,104,97,100,32,97,108,114, 101,97,100,121,105,110,116,101,114,112,114,101,116,101,100,99,111,109,109,117, 110,105,99,97,116,101,102,101,97,116,117,114,101,115,32,111,102,103,111,118,101, 114,110,109,101,110,116,44,60,47,110,111,115,99,114,105,112,116,62,101,110,116, 101,114,101,100,32,116,104,101,34,32,104,101,105,103,104,116,61,34,51,73,110,100 ,101,112,101,110,100,101,110,116,112,111,112,117,108,97,116,105,111,110,115,108, 97,114,103,101,45,115,99,97,108,101,46,32,65,108,116,104,111,117,103,104,32,117, 115,101,100,32,105,110,32,116,104,101,100,101,115,116,114,117,99,116,105,111,110 ,112,111,115,115,105,98,105,108,105,116,121,115,116,97,114,116,105,110,103,32, 105,110,116,119,111,32,111,114,32,109,111,114,101,101,120,112,114,101,115,115, 105,111,110,115,115,117,98,111,114,100,105,110,97,116,101,108,97,114,103,101,114 ,32,116,104,97,110,104,105,115,116,111,114,121,32,97,110,100,60,47,111,112,116, 105,111,110,62,13,10,67,111,110,116,105,110,101,110,116,97,108,101,108,105,109, 105,110,97,116,105,110,103,119,105,108,108,32,110,111,116,32,98,101,112,114,97, 99,116,105,99,101,32,111,102,105,110,32,102,114,111,110,116,32,111,102,115,105, 116,101,32,111,102,32,116,104,101,101,110,115,117,114,101,32,116,104,97,116,116, 111,32,99,114,101,97,116,101,32,97,109,105,115,115,105,115,115,105,112,112,105, 112,111,116,101,110,116,105,97,108,108,121,111,117,116,115,116,97,110,100,105, 110,103,98,101,116,116,101,114,32,116,104,97,110,119,104,97,116,32,105,115,32, 110,111,119,115,105,116,117,97,116,101,100,32,105,110,109,101,116,97,32,110,97, 109,101,61,34,84,114,97,100,105,116,105,111,110,97,108,115,117,103,103,101,115, 116,105,111,110,115,84,114,97,110,115,108,97,116,105,111,110,116,104,101,32,102, 111,114,109,32,111,102,97,116,109,111,115,112,104,101,114,105,99,105,100,101,111 ,108,111,103,105,99,97,108,101,110,116,101,114,112,114,105,115,101,115,99,97,108 ,99,117,108,97,116,105,110,103,101,97,115,116,32,111,102,32,116,104,101,114,101, 109,110,97,110,116,115,32,111,102,112,108,117,103,105,110,115,112,97,103,101,47, 105,110,100,101,120,46,112,104,112,63,114,101,109,97,105,110,101,100,32,105,110, 116,114,97,110,115,102,111,114,109,101,100,72,101,32,119,97,115,32,97,108,115, 111,119,97,115,32,97,108,114,101,97,100,121,115,116,97,116,105,115,116,105,99,97 ,108,105,110,32,102,97,118,111,114,32,111,102,77,105,110,105,115,116,114,121,32, 111,102,109,111,118,101,109,101,110,116,32,111,102,102,111,114,109,117,108,97, 116,105,111,110,105,115,32,114,101,113,117,105,114,101,100,60,108,105,110,107,32 ,114,101,108,61,34,84,104,105,115,32,105,115,32,116,104,101,32,60,97,32,104,114, 101,102,61,34,47,112,111,112,117,108,97,114,105,122,101,100,105,110,118,111,108, 118,101,100,32,105,110,97,114,101,32,117,115,101,100,32,116,111,97,110,100,32, 115,101,118,101,114,97,108,109,97,100,101,32,98,121,32,116,104,101,115,101,101, 109,115,32,116,111,32,98,101,108,105,107,101,108,121,32,116,104,97,116,80,97,108 ,101,115,116,105,110,105,97,110,110,97,109,101,100,32,97,102,116,101,114,105,116 ,32,104,97,100,32,98,101,101,110,109,111,115,116,32,99,111,109,109,111,110,116, 111,32,114,101,102,101,114,32,116,111,98,117,116,32,116,104,105,115,32,105,115, 99,111,110,115,101,99,117,116,105,118,101,116,101,109,112,111,114,97,114,105,108 ,121,73,110,32,103,101,110,101,114,97,108,44,99,111,110,118,101,110,116,105,111, 110,115,116,97,107,101,115,32,112,108,97,99,101,115,117,98,100,105,118,105,115, 105,111,110,116,101,114,114,105,116,111,114,105,97,108,111,112,101,114,97,116, 105,111,110,97,108,112,101,114,109,97,110,101,110,116,108,121,119,97,115,32,108, 97,114,103,101,108,121,111,117,116,98,114,101,97,107,32,111,102,105,110,32,116, 104,101,32,112,97,115,116,102,111,108,108,111,119,105,110,103,32,97,32,120,109, 108,110,115,58,111,103,61,34,62,60,97,32,99,108,97,115,115,61,34,99,108,97,115, 115,61,34,116,101,120,116,67,111,110,118,101,114,115,105,111,110,32,109,97,121, 32,98,101,32,117,115,101,100,109,97,110,117,102,97,99,116,117,114,101,97,102,116 ,101,114,32,98,101,105,110,103,99,108,101,97,114,102,105,120,34,62,10,113,117, 101,115,116,105,111,110,32,111,102,119,97,115,32,101,108,101,99,116,101,100,116, 111,32,98,101,99,111,109,101,32,97,98,101,99,97,117,115,101,32,111,102,32,115, 111,109,101,32,112,101,111,112,108,101,105,110,115,112,105,114,101,100,32,98,121 ,115,117,99,99,101,115,115,102,117,108,32,97,32,116,105,109,101,32,119,104,101, 110,109,111,114,101,32,99,111,109,109,111,110,97,109,111,110,103,115,116,32,116, 104,101,97,110,32,111,102,102,105,99,105,97,108,119,105,100,116,104,58,49,48,48, 37,59,116,101,99,104,110,111,108,111,103,121,44,119,97,115,32,97,100,111,112,116 ,101,100,116,111,32,107,101,101,112,32,116,104,101,115,101,116,116,108,101,109, 101,110,116,115,108,105,118,101,32,98,105,114,116,104,115,105,110,100,101,120,46 ,104,116,109,108,34,67,111,110,110,101,99,116,105,99,117,116,97,115,115,105,103, 110,101,100,32,116,111,38,97,109,112,59,116,105,109,101,115,59,97,99,99,111,117, 110,116,32,102,111,114,97,108,105,103,110,61,114,105,103,104,116,116,104,101,32, 99,111,109,112,97,110,121,97,108,119,97,121,115,32,98,101,101,110,114,101,116, 117,114,110,101,100,32,116,111,105,110,118,111,108,118,101,109,101,110,116,66, 101,99,97,117,115,101,32,116,104,101,116,104,105,115,32,112,101,114,105,111,100, 34,32,110,97,109,101,61,34,113,34,32,99,111,110,102,105,110,101,100,32,116,111, 97,32,114,101,115,117,108,116,32,111,102,118,97,108,117,101,61,34,34,32,47,62, 105,115,32,97,99,116,117,97,108,108,121,69,110,118,105,114,111,110,109,101,110, 116,13,10,60,47,104,101,97,100,62,13,10,67,111,110,118,101,114,115,101,108,121, 44,62,10,60,100,105,118,32,105,100,61,34,48,34,32,119,105,100,116,104,61,34,49, 105,115,32,112,114,111,98,97,98,108,121,104,97,118,101,32,98,101,99,111,109,101, 99,111,110,116,114,111,108,108,105,110,103,116,104,101,32,112,114,111,98,108,101 ,109,99,105,116,105,122,101,110,115,32,111,102,112,111,108,105,116,105,99,105,97 ,110,115,114,101,97,99,104,101,100,32,116,104,101,97,115,32,101,97,114,108,121, 32,97,115,58,110,111,110,101,59,32,111,118,101,114,60,116,97,98,108,101,32,99, 101,108,108,118,97,108,105,100,105,116,121,32,111,102,100,105,114,101,99,116,108 ,121,32,116,111,111,110,109,111,117,115,101,100,111,119,110,119,104,101,114,101, 32,105,116,32,105,115,119,104,101,110,32,105,116,32,119,97,115,109,101,109,98, 101,114,115,32,111,102,32,114,101,108,97,116,105,111,110,32,116,111,97,99,99,111 ,109,109,111,100,97,116,101,97,108,111,110,103,32,119,105,116,104,32,73,110,32, 116,104,101,32,108,97,116,101,116,104,101,32,69,110,103,108,105,115,104,100,101, 108,105,99,105,111,117,115,34,62,116,104,105,115,32,105,115,32,110,111,116,116, 104,101,32,112,114,101,115,101,110,116,105,102,32,116,104,101,121,32,97,114,101, 97,110,100,32,102,105,110,97,108,108,121,97,32,109,97,116,116,101,114,32,111,102 ,13,10,9,60,47,100,105,118,62,13,10,13,10,60,47,115,99,114,105,112,116,62,102,97 ,115,116,101,114,32,116,104,97,110,109,97,106,111,114,105,116,121,32,111,102,97, 102,116,101,114,32,119,104,105,99,104,99,111,109,112,97,114,97,116,105,118,101, 116,111,32,109,97,105,110,116,97,105,110,105,109,112,114,111,118,101,32,116,104, 101,97,119,97,114,100,101,100,32,116,104,101,101,114,34,32,99,108,97,115,115,61, 34,102,114,97,109,101,98,111,114,100,101,114,114,101,115,116,111,114,97,116,105, 111,110,105,110,32,116,104,101,32,115,97,109,101,97,110,97,108,121,115,105,115, 32,111,102,116,104,101,105,114,32,102,105,114,115,116,68,117,114,105,110,103,32, 116,104,101,32,99,111,110,116,105,110,101,110,116,97,108,115,101,113,117,101,110 ,99,101,32,111,102,102,117,110,99,116,105,111,110,40,41,123,102,111,110,116,45, 115,105,122,101,58,32,119,111,114,107,32,111,110,32,116,104,101,60,47,115,99,114 ,105,112,116,62,10,60,98,101,103,105,110,115,32,119,105,116,104,106,97,118,97, 115,99,114,105,112,116,58,99,111,110,115,116,105,116,117,101,110,116,119,97,115, 32,102,111,117,110,100,101,100,101,113,117,105,108,105,98,114,105,117,109,97,115 ,115,117,109,101,32,116,104,97,116,105,115,32,103,105,118,101,110,32,98,121,110, 101,101,100,115,32,116,111,32,98,101,99,111,111,114,100,105,110,97,116,101,115, 116,104,101,32,118,97,114,105,111,117,115,97,114,101,32,112,97,114,116,32,111, 102,111,110,108,121,32,105,110,32,116,104,101,115,101,99,116,105,111,110,115,32, 111,102,105,115,32,97,32,99,111,109,109,111,110,116,104,101,111,114,105,101,115, 32,111,102,100,105,115,99,111,118,101,114,105,101,115,97,115,115,111,99,105,97, 116,105,111,110,101,100,103,101,32,111,102,32,116,104,101,115,116,114,101,110, 103,116,104,32,111,102,112,111,115,105,116,105,111,110,32,105,110,112,114,101, 115,101,110,116,45,100,97,121,117,110,105,118,101,114,115,97,108,108,121,116,111 ,32,102,111,114,109,32,116,104,101,98,117,116,32,105,110,115,116,101,97,100,99, 111,114,112,111,114,97,116,105,111,110,97,116,116,97,99,104,101,100,32,116,111, 105,115,32,99,111,109,109,111,110,108,121,114,101,97,115,111,110,115,32,102,111, 114,32,38,113,117,111,116,59,116,104,101,32,99,97,110,32,98,101,32,109,97,100, 101,119,97,115,32,97,98,108,101,32,116,111,119,104,105,99,104,32,109,101,97,110, 115,98,117,116,32,100,105,100,32,110,111,116,111,110,77,111,117,115,101,79,118, 101,114,97,115,32,112,111,115,115,105,98,108,101,111,112,101,114,97,116,101,100, 32,98,121,99,111,109,105,110,103,32,102,114,111,109,116,104,101,32,112,114,105, 109,97,114,121,97,100,100,105,116,105,111,110,32,111,102,102,111,114,32,115,101, 118,101,114,97,108,116,114,97,110,115,102,101,114,114,101,100,97,32,112,101,114, 105,111,100,32,111,102,97,114,101,32,97,98,108,101,32,116,111,104,111,119,101, 118,101,114,44,32,105,116,115,104,111,117,108,100,32,104,97,118,101,109,117,99, 104,32,108,97,114,103,101,114,10,9,60,47,115,99,114,105,112,116,62,97,100,111, 112,116,101,100,32,116,104,101,112,114,111,112,101,114,116,121,32,111,102,100, 105,114,101,99,116,101,100,32,98,121,101,102,102,101,99,116,105,118,101,108,121, 119,97,115,32,98,114,111,117,103,104,116,99,104,105,108,100,114,101,110,32,111, 102,80,114,111,103,114,97,109,109,105,110,103,108,111,110,103,101,114,32,116,104 ,97,110,109,97,110,117,115,99,114,105,112,116,115,119,97,114,32,97,103,97,105, 110,115,116,98,121,32,109,101,97,110,115,32,111,102,97,110,100,32,109,111,115, 116,32,111,102,115,105,109,105,108,97,114,32,116,111,32,112,114,111,112,114,105, 101,116,97,114,121,111,114,105,103,105,110,97,116,105,110,103,112,114,101,115, 116,105,103,105,111,117,115,103,114,97,109,109,97,116,105,99,97,108,101,120,112, 101,114,105,101,110,99,101,46,116,111,32,109,97,107,101,32,116,104,101,73,116,32 ,119,97,115,32,97,108,115,111,105,115,32,102,111,117,110,100,32,105,110,99,111, 109,112,101,116,105,116,111,114,115,105,110,32,116,104,101,32,85,46,83,46,114, 101,112,108,97,99,101,32,116,104,101,98,114,111,117,103,104,116,32,116,104,101, 99,97,108,99,117,108,97,116,105,111,110,102,97,108,108,32,111,102,32,116,104,101 ,116,104,101,32,103,101,110,101,114,97,108,112,114,97,99,116,105,99,97,108,108, 121,105,110,32,104,111,110,111,114,32,111,102,114,101,108,101,97,115,101,100,32, 105,110,114,101,115,105,100,101,110,116,105,97,108,97,110,100,32,115,111,109,101 ,32,111,102,107,105,110,103,32,111,102,32,116,104,101,114,101,97,99,116,105,111, 110,32,116,111,49,115,116,32,69,97,114,108,32,111,102,99,117,108,116,117,114,101 ,32,97,110,100,112,114,105,110,99,105,112,97,108,108,121,60,47,116,105,116,108, 101,62,10,32,32,116,104,101,121,32,99,97,110,32,98,101,98,97,99,107,32,116,111, 32,116,104,101,115,111,109,101,32,111,102,32,104,105,115,101,120,112,111,115,117 ,114,101,32,116,111,97,114,101,32,115,105,109,105,108,97,114,102,111,114,109,32, 111,102,32,116,104,101,97,100,100,70,97,118,111,114,105,116,101,99,105,116,105, 122,101,110,115,104,105,112,112,97,114,116,32,105,110,32,116,104,101,112,101,111 ,112,108,101,32,119,105,116,104,105,110,32,112,114,97,99,116,105,99,101,116,111, 32,99,111,110,116,105,110,117,101,38,97,109,112,59,109,105,110,117,115,59,97,112 ,112,114,111,118,101,100,32,98,121,32,116,104,101,32,102,105,114,115,116,32,97, 108,108,111,119,101,100,32,116,104,101,97,110,100,32,102,111,114,32,116,104,101, 102,117,110,99,116,105,111,110,105,110,103,112,108,97,121,105,110,103,32,116,104 ,101,115,111,108,117,116,105,111,110,32,116,111,104,101,105,103,104,116,61,34,48 ,34,32,105,110,32,104,105,115,32,98,111,111,107,109,111,114,101,32,116,104,97, 110,32,97,102,111,108,108,111,119,115,32,116,104,101,99,114,101,97,116,101,100, 32,116,104,101,112,114,101,115,101,110,99,101,32,105,110,38,110,98,115,112,59,60 ,47,116,100,62,110,97,116,105,111,110,97,108,105,115,116,116,104,101,32,105,100, 101,97,32,111,102,97,32,99,104,97,114,97,99,116,101,114,119,101,114,101,32,102, 111,114,99,101,100,32,99,108,97,115,115,61,34,98,116,110,100,97,121,115,32,111, 102,32,116,104,101,102,101,97,116,117,114,101,100,32,105,110,115,104,111,119,105 ,110,103,32,116,104,101,105,110,116,101,114,101,115,116,32,105,110,105,110,32, 112,108,97,99,101,32,111,102,116,117,114,110,32,111,102,32,116,104,101,116,104, 101,32,104,101,97,100,32,111,102,76,111,114,100,32,111,102,32,116,104,101,112, 111,108,105,116,105,99,97,108,108,121,104,97,115,32,105,116,115,32,111,119,110, 69,100,117,99,97,116,105,111,110,97,108,97,112,112,114,111,118,97,108,32,111,102 ,115,111,109,101,32,111,102,32,116,104,101,101,97,99,104,32,111,116,104,101,114, 44,98,101,104,97,118,105,111,114,32,111,102,97,110,100,32,98,101,99,97,117,115, 101,97,110,100,32,97,110,111,116,104,101,114,97,112,112,101,97,114,101,100,32, 111,110,114,101,99,111,114,100,101,100,32,105,110,98,108,97,99,107,38,113,117, 111,116,59,109,97,121,32,105,110,99,108,117,100,101,116,104,101,32,119,111,114, 108,100,39,115,99,97,110,32,108,101,97,100,32,116,111,114,101,102,101,114,115,32 ,116,111,32,97,98,111,114,100,101,114,61,34,48,34,32,103,111,118,101,114,110,109 ,101,110,116,32,119,105,110,110,105,110,103,32,116,104,101,114,101,115,117,108, 116,101,100,32,105,110,32,119,104,105,108,101,32,116,104,101,32,87,97,115,104, 105,110,103,116,111,110,44,116,104,101,32,115,117,98,106,101,99,116,99,105,116, 121,32,105,110,32,116,104,101,62,60,47,100,105,118,62,13,10,9,9,114,101,102,108, 101,99,116,32,116,104,101,116,111,32,99,111,109,112,108,101,116,101,98,101,99,97 ,109,101,32,109,111,114,101,114,97,100,105,111,97,99,116,105,118,101,114,101,106 ,101,99,116,101,100,32,98,121,119,105,116,104,111,117,116,32,97,110,121,104,105, 115,32,102,97,116,104,101,114,44,119,104,105,99,104,32,99,111,117,108,100,99,111 ,112,121,32,111,102,32,116,104,101,116,111,32,105,110,100,105,99,97,116,101,97, 32,112,111,108,105,116,105,99,97,108,97,99,99,111,117,110,116,115,32,111,102,99, 111,110,115,116,105,116,117,116,101,115,119,111,114,107,101,100,32,119,105,116, 104,101,114,60,47,97,62,60,47,108,105,62,111,102,32,104,105,115,32,108,105,102, 101,97,99,99,111,109,112,97,110,105,101,100,99,108,105,101,110,116,87,105,100, 116,104,112,114,101,118,101,110,116,32,116,104,101,76,101,103,105,115,108,97,116 ,105,118,101,100,105,102,102,101,114,101,110,116,108,121,116,111,103,101,116,104 ,101,114,32,105,110,104,97,115,32,115,101,118,101,114,97,108,102,111,114,32,97, 110,111,116,104,101,114,116,101,120,116,32,111,102,32,116,104,101,102,111,117, 110,100,101,100,32,116,104,101,101,32,119,105,116,104,32,116,104,101,32,105,115, 32,117,115,101,100,32,102,111,114,99,104,97,110,103,101,100,32,116,104,101,117, 115,117,97,108,108,121,32,116,104,101,112,108,97,99,101,32,119,104,101,114,101, 119,104,101,114,101,97,115,32,116,104,101,62,32,60,97,32,104,114,101,102,61,34, 34,62,60,97,32,104,114,101,102,61,34,116,104,101,109,115,101,108,118,101,115,44, 97,108,116,104,111,117,103,104,32,104,101,116,104,97,116,32,99,97,110,32,98,101, 116,114,97,100,105,116,105,111,110,97,108,114,111,108,101,32,111,102,32,116,104, 101,97,115,32,97,32,114,101,115,117,108,116,114,101,109,111,118,101,67,104,105, 108,100,100,101,115,105,103,110,101,100,32,98,121,119,101,115,116,32,111,102,32, 116,104,101,83,111,109,101,32,112,101,111,112,108,101,112,114,111,100,117,99,116 ,105,111,110,44,115,105,100,101,32,111,102,32,116,104,101,110,101,119,115,108, 101,116,116,101,114,115,117,115,101,100,32,98,121,32,116,104,101,100,111,119,110 ,32,116,111,32,116,104,101,97,99,99,101,112,116,101,100,32,98,121,108,105,118, 101,32,105,110,32,116,104,101,97,116,116,101,109,112,116,115,32,116,111,111,117, 116,115,105,100,101,32,116,104,101,102,114,101,113,117,101,110,99,105,101,115,72 ,111,119,101,118,101,114,44,32,105,110,112,114,111,103,114,97,109,109,101,114, 115,97,116,32,108,101,97,115,116,32,105,110,97,112,112,114,111,120,105,109,97, 116,101,97,108,116,104,111,117,103,104,32,105,116,119,97,115,32,112,97,114,116, 32,111,102,97,110,100,32,118,97,114,105,111,117,115,71,111,118,101,114,110,111, 114,32,111,102,116,104,101,32,97,114,116,105,99,108,101,116,117,114,110,101,100, 32,105,110,116,111,62,60,97,32,104,114,101,102,61,34,47,116,104,101,32,101,99, 111,110,111,109,121,105,115,32,116,104,101,32,109,111,115,116,109,111,115,116,32 ,119,105,100,101,108,121,119,111,117,108,100,32,108,97,116,101,114,97,110,100,32 ,112,101,114,104,97,112,115,114,105,115,101,32,116,111,32,116,104,101,111,99,99, 117,114,115,32,119,104,101,110,117,110,100,101,114,32,119,104,105,99,104,99,111, 110,100,105,116,105,111,110,115,46,116,104,101,32,119,101,115,116,101,114,110, 116,104,101,111,114,121,32,116,104,97,116,105,115,32,112,114,111,100,117,99,101, 100,116,104,101,32,99,105,116,121,32,111,102,105,110,32,119,104,105,99,104,32, 104,101,115,101,101,110,32,105,110,32,116,104,101,116,104,101,32,99,101,110,116, 114,97,108,98,117,105,108,100,105,110,103,32,111,102,109,97,110,121,32,111,102, 32,104,105,115,97,114,101,97,32,111,102,32,116,104,101,105,115,32,116,104,101,32 ,111,110,108,121,109,111,115,116,32,111,102,32,116,104,101,109,97,110,121,32,111 ,102,32,116,104,101,116,104,101,32,87,101,115,116,101,114,110,84,104,101,114,101 ,32,105,115,32,110,111,101,120,116,101,110,100,101,100,32,116,111,83,116,97,116, 105,115,116,105,99,97,108,99,111,108,115,112,97,110,61,50,32,124,115,104,111,114 ,116,32,115,116,111,114,121,112,111,115,115,105,98,108,101,32,116,111,116,111, 112,111,108,111,103,105,99,97,108,99,114,105,116,105,99,97,108,32,111,102,114, 101,112,111,114,116,101,100,32,116,111,97,32,67,104,114,105,115,116,105,97,110, 100,101,99,105,115,105,111,110,32,116,111,105,115,32,101,113,117,97,108,32,116, 111,112,114,111,98,108,101,109,115,32,111,102,84,104,105,115,32,99,97,110,32,98, 101,109,101,114,99,104,97,110,100,105,115,101,102,111,114,32,109,111,115,116,32, 111,102,110,111,32,101,118,105,100,101,110,99,101,101,100,105,116,105,111,110, 115,32,111,102,101,108,101,109,101,110,116,115,32,105,110,38,113,117,111,116,59, 46,32,84,104,101,99,111,109,47,105,109,97,103,101,115,47,119,104,105,99,104,32, 109,97,107,101,115,116,104,101,32,112,114,111,99,101,115,115,114,101,109,97,105, 110,115,32,116,104,101,108,105,116,101,114,97,116,117,114,101,44,105,115,32,97, 32,109,101,109,98,101,114,116,104,101,32,112,111,112,117,108,97,114,116,104,101, 32,97,110,99,105,101,110,116,112,114,111,98,108,101,109,115,32,105,110,116,105, 109,101,32,111,102,32,116,104,101,100,101,102,101,97,116,101,100,32,98,121,98, 111,100,121,32,111,102,32,116,104,101,97,32,102,101,119,32,121,101,97,114,115, 109,117,99,104,32,111,102,32,116,104,101,116,104,101,32,119,111,114,107,32,111, 102,67,97,108,105,102,111,114,110,105,97,44,115,101,114,118,101,100,32,97,115,32 ,97,103,111,118,101,114,110,109,101,110,116,46,99,111,110,99,101,112,116,115,32, 111,102,109,111,118,101,109,101,110,116,32,105,110,9,9,60,100,105,118,32,105,100 ,61,34,105,116,34,32,118,97,108,117,101,61,34,108,97,110,103,117,97,103,101,32, 111,102,97,115,32,116,104,101,121,32,97,114,101,112,114,111,100,117,99,101,100, 32,105,110,105,115,32,116,104,97,116,32,116,104,101,101,120,112,108,97,105,110, 32,116,104,101,100,105,118,62,60,47,100,105,118,62,10,72,111,119,101,118,101,114 ,32,116,104,101,108,101,97,100,32,116,111,32,116,104,101,9,60,97,32,104,114,101, 102,61,34,47,119,97,115,32,103,114,97,110,116,101,100,112,101,111,112,108,101,32 ,104,97,118,101,99,111,110,116,105,110,117,97,108,108,121,119,97,115,32,115,101, 101,110,32,97,115,97,110,100,32,114,101,108,97,116,101,100,116,104,101,32,114, 111,108,101,32,111,102,112,114,111,112,111,115,101,100,32,98,121,111,102,32,116, 104,101,32,98,101,115,116,101,97,99,104,32,111,116,104,101,114,46,67,111,110,115 ,116,97,110,116,105,110,101,112,101,111,112,108,101,32,102,114,111,109,100,105, 97,108,101,99,116,115,32,111,102,116,111,32,114,101,118,105,115,105,111,110,119, 97,115,32,114,101,110,97,109,101,100,97,32,115,111,117,114,99,101,32,111,102,116 ,104,101,32,105,110,105,116,105,97,108,108,97,117,110,99,104,101,100,32,105,110, 112,114,111,118,105,100,101,32,116,104,101,116,111,32,116,104,101,32,119,101,115 ,116,119,104,101,114,101,32,116,104,101,114,101,97,110,100,32,115,105,109,105, 108,97,114,98,101,116,119,101,101,110,32,116,119,111,105,115,32,97,108,115,111, 32,116,104,101,69,110,103,108,105,115,104,32,97,110,100,99,111,110,100,105,116, 105,111,110,115,44,116,104,97,116,32,105,116,32,119,97,115,101,110,116,105,116, 108,101,100,32,116,111,116,104,101,109,115,101,108,118,101,115,46,113,117,97,110 ,116,105,116,121,32,111,102,114,97,110,115,112,97,114,101,110,99,121,116,104,101 ,32,115,97,109,101,32,97,115,116,111,32,106,111,105,110,32,116,104,101,99,111, 117,110,116,114,121,32,97,110,100,116,104,105,115,32,105,115,32,116,104,101,84, 104,105,115,32,108,101,100,32,116,111,97,32,115,116,97,116,101,109,101,110,116, 99,111,110,116,114,97,115,116,32,116,111,108,97,115,116,73,110,100,101,120,79, 102,116,104,114,111,117,103,104,32,104,105,115,105,115,32,100,101,115,105,103, 110,101,100,116,104,101,32,116,101,114,109,32,105,115,105,115,32,112,114,111,118 ,105,100,101,100,112,114,111,116,101,99,116,32,116,104,101,110,103,60,47,97,62, 60,47,108,105,62,84,104,101,32,99,117,114,114,101,110,116,116,104,101,32,115,105 ,116,101,32,111,102,115,117,98,115,116,97,110,116,105,97,108,101,120,112,101,114 ,105,101,110,99,101,44,105,110,32,116,104,101,32,87,101,115,116,116,104,101,121, 32,115,104,111,117,108,100,115,108,111,118,101,110,196,141,105,110,97,99,111,109 ,101,110,116,97,114,105,111,115,117,110,105,118,101,114,115,105,100,97,100,99, 111,110,100,105,99,105,111,110,101,115,97,99,116,105,118,105,100,97,100,101,115, 101,120,112,101,114,105,101,110,99,105,97,116,101,99,110,111,108,111,103,195,173 ,97,112,114,111,100,117,99,99,105,195,179,110,112,117,110,116,117,97,99,105,195, 179,110,97,112,108,105,99,97,99,105,195,179,110,99,111,110,116,114,97,115,101, 195,177,97,99,97,116,101,103,111,114,195,173,97,115,114,101,103,105,115,116,114, 97,114,115,101,112,114,111,102,101,115,105,111,110,97,108,116,114,97,116,97,109, 105,101,110,116,111,114,101,103,195,173,115,116,114,97,116,101,115,101,99,114, 101,116,97,114,195,173,97,112,114,105,110,99,105,112,97,108,101,115,112,114,111, 116,101,99,99,105,195,179,110,105,109,112,111,114,116,97,110,116,101,115,105,109 ,112,111,114,116,97,110,99,105,97,112,111,115,105,98,105,108,105,100,97,100,105, 110,116,101,114,101,115,97,110,116,101,99,114,101,99,105,109,105,101,110,116,111 ,110,101,99,101,115,105,100,97,100,101,115,115,117,115,99,114,105,98,105,114,115 ,101,97,115,111,99,105,97,99,105,195,179,110,100,105,115,112,111,110,105,98,108, 101,115,101,118,97,108,117,97,99,105,195,179,110,101,115,116,117,100,105,97,110, 116,101,115,114,101,115,112,111,110,115,97,98,108,101,114,101,115,111,108,117,99 ,105,195,179,110,103,117,97,100,97,108,97,106,97,114,97,114,101,103,105,115,116, 114,97,100,111,115,111,112,111,114,116,117,110,105,100,97,100,99,111,109,101,114 ,99,105,97,108,101,115,102,111,116,111,103,114,97,102,195,173,97,97,117,116,111, 114,105,100,97,100,101,115,105,110,103,101,110,105,101,114,195,173,97,116,101, 108,101,118,105,115,105,195,179,110,99,111,109,112,101,116,101,110,99,105,97,111 ,112,101,114,97,99,105,111,110,101,115,101,115,116,97,98,108,101,99,105,100,111, 115,105,109,112,108,101,109,101,110,116,101,97,99,116,117,97,108,109,101,110,116 ,101,110,97,118,101,103,97,99,105,195,179,110,99,111,110,102,111,114,109,105,100 ,97,100,108,105,110,101,45,104,101,105,103,104,116,58,102,111,110,116,45,102,97, 109,105,108,121,58,34,32,58,32,34,104,116,116,112,58,47,47,97,112,112,108,105,99 ,97,116,105,111,110,115,108,105,110,107,34,32,104,114,101,102,61,34,115,112,101, 99,105,102,105,99,97,108,108,121,47,47,60,33,91,67,68,65,84,65,91,10,79,114,103, 97,110,105,122,97,116,105,111,110,100,105,115,116,114,105,98,117,116,105,111,110 ,48,112,120,59,32,104,101,105,103,104,116,58,114,101,108,97,116,105,111,110,115, 104,105,112,100,101,118,105,99,101,45,119,105,100,116,104,60,100,105,118,32,99, 108,97,115,115,61,34,60,108,97,98,101,108,32,102,111,114,61,34,114,101,103,105, 115,116,114,97,116,105,111,110,60,47,110,111,115,99,114,105,112,116,62,10,47,105 ,110,100,101,120,46,104,116,109,108,34,119,105,110,100,111,119,46,111,112,101, 110,40,32,33,105,109,112,111,114,116,97,110,116,59,97,112,112,108,105,99,97,116, 105,111,110,47,105,110,100,101,112,101,110,100,101,110,99,101,47,47,119,119,119, 46,103,111,111,103,108,101,111,114,103,97,110,105,122,97,116,105,111,110,97,117, 116,111,99,111,109,112,108,101,116,101,114,101,113,117,105,114,101,109,101,110, 116,115,99,111,110,115,101,114,118,97,116,105,118,101,60,102,111,114,109,32,110, 97,109,101,61,34,105,110,116,101,108,108,101,99,116,117,97,108,109,97,114,103, 105,110,45,108,101,102,116,58,49,56,116,104,32,99,101,110,116,117,114,121,97,110 ,32,105,109,112,111,114,116,97,110,116,105,110,115,116,105,116,117,116,105,111, 110,115,97,98,98,114,101,118,105,97,116,105,111,110,60,105,109,103,32,99,108,97, 115,115,61,34,111,114,103,97,110,105,115,97,116,105,111,110,99,105,118,105,108, 105,122,97,116,105,111,110,49,57,116,104,32,99,101,110,116,117,114,121,97,114,99 ,104,105,116,101,99,116,117,114,101,105,110,99,111,114,112,111,114,97,116,101, 100,50,48,116,104,32,99,101,110,116,117,114,121,45,99,111,110,116,97,105,110,101 ,114,34,62,109,111,115,116,32,110,111,116,97,98,108,121,47,62,60,47,97,62,60,47, 100,105,118,62,110,111,116,105,102,105,99,97,116,105,111,110,39,117,110,100,101, 102,105,110,101,100,39,41,70,117,114,116,104,101,114,109,111,114,101,44,98,101, 108,105,101,118,101,32,116,104,97,116,105,110,110,101,114,72,84,77,76,32,61,32, 112,114,105,111,114,32,116,111,32,116,104,101,100,114,97,109,97,116,105,99,97, 108,108,121,114,101,102,101,114,114,105,110,103,32,116,111,110,101,103,111,116, 105,97,116,105,111,110,115,104,101,97,100,113,117,97,114,116,101,114,115,83,111, 117,116,104,32,65,102,114,105,99,97,117,110,115,117,99,99,101,115,115,102,117, 108,80,101,110,110,115,121,108,118,97,110,105,97,65,115,32,97,32,114,101,115,117 ,108,116,44,60,104,116,109,108,32,108,97,110,103,61,34,38,108,116,59,47,115,117, 112,38,103,116,59,100,101,97,108,105,110,103,32,119,105,116,104,112,104,105,108, 97,100,101,108,112,104,105,97,104,105,115,116,111,114,105,99,97,108,108,121,41, 59,60,47,115,99,114,105,112,116,62,10,112,97,100,100,105,110,103,45,116,111,112, 58,101,120,112,101,114,105,109,101,110,116,97,108,103,101,116,65,116,116,114,105 ,98,117,116,101,105,110,115,116,114,117,99,116,105,111,110,115,116,101,99,104, 110,111,108,111,103,105,101,115,112,97,114,116,32,111,102,32,116,104,101,32,61, 102,117,110,99,116,105,111,110,40,41,123,115,117,98,115,99,114,105,112,116,105, 111,110,108,46,100,116,100,34,62,13,10,60,104,116,103,101,111,103,114,97,112,104 ,105,99,97,108,67,111,110,115,116,105,116,117,116,105,111,110,39,44,32,102,117, 110,99,116,105,111,110,40,115,117,112,112,111,114,116,101,100,32,98,121,97,103, 114,105,99,117,108,116,117,114,97,108,99,111,110,115,116,114,117,99,116,105,111, 110,112,117,98,108,105,99,97,116,105,111,110,115,102,111,110,116,45,115,105,122, 101,58,32,49,97,32,118,97,114,105,101,116,121,32,111,102,60,100,105,118,32,115, 116,121,108,101,61,34,69,110,99,121,99,108,111,112,101,100,105,97,105,102,114,97 ,109,101,32,115,114,99,61,34,100,101,109,111,110,115,116,114,97,116,101,100,97, 99,99,111,109,112,108,105,115,104,101,100,117,110,105,118,101,114,115,105,116, 105,101,115,68,101,109,111,103,114,97,112,104,105,99,115,41,59,60,47,115,99,114, 105,112,116,62,60,100,101,100,105,99,97,116,101,100,32,116,111,107,110,111,119, 108,101,100,103,101,32,111,102,115,97,116,105,115,102,97,99,116,105,111,110,112, 97,114,116,105,99,117,108,97,114,108,121,60,47,100,105,118,62,60,47,100,105,118, 62,69,110,103,108,105,115,104,32,40,85,83,41,97,112,112,101,110,100,67,104,105, 108,100,40,116,114,97,110,115,109,105,115,115,105,111,110,115,46,32,72,111,119, 101,118,101,114,44,32,105,110,116,101,108,108,105,103,101,110,99,101,34,32,116, 97,98,105,110,100,101,120,61,34,102,108,111,97,116,58,114,105,103,104,116,59,67, 111,109,109,111,110,119,101,97,108,116,104,114,97,110,103,105,110,103,32,102,114 ,111,109,105,110,32,119,104,105,99,104,32,116,104,101,97,116,32,108,101,97,115, 116,32,111,110,101,114,101,112,114,111,100,117,99,116,105,111,110,101,110,99,121 ,99,108,111,112,101,100,105,97,59,102,111,110,116,45,115,105,122,101,58,49,106, 117,114,105,115,100,105,99,116,105,111,110,97,116,32,116,104,97,116,32,116,105, 109,101,34,62,60,97,32,99,108,97,115,115,61,34,73,110,32,97,100,100,105,116,105, 111,110,44,100,101,115,99,114,105,112,116,105,111,110,43,99,111,110,118,101,114, 115,97,116,105,111,110,99,111,110,116,97,99,116,32,119,105,116,104,105,115,32, 103,101,110,101,114,97,108,108,121,114,34,32,99,111,110,116,101,110,116,61,34, 114,101,112,114,101,115,101,110,116,105,110,103,38,108,116,59,109,97,116,104,38, 103,116,59,112,114,101,115,101,110,116,97,116,105,111,110,111,99,99,97,115,105, 111,110,97,108,108,121,60,105,109,103,32,119,105,100,116,104,61,34,110,97,118, 105,103,97,116,105,111,110,34,62,99,111,109,112,101,110,115,97,116,105,111,110, 99,104,97,109,112,105,111,110,115,104,105,112,109,101,100,105,97,61,34,97,108, 108,34,32,118,105,111,108,97,116,105,111,110,32,111,102,114,101,102,101,114,101, 110,99,101,32,116,111,114,101,116,117,114,110,32,116,114,117,101,59,83,116,114, 105,99,116,47,47,69,78,34,32,116,114,97,110,115,97,99,116,105,111,110,115,105, 110,116,101,114,118,101,110,116,105,111,110,118,101,114,105,102,105,99,97,116, 105,111,110,73,110,102,111,114,109,97,116,105,111,110,32,100,105,102,102,105,99, 117,108,116,105,101,115,67,104,97,109,112,105,111,110,115,104,105,112,99,97,112, 97,98,105,108,105,116,105,101,115,60,33,91,101,110,100,105,102,93,45,45,62,125, 10,60,47,115,99,114,105,112,116,62,10,67,104,114,105,115,116,105,97,110,105,116, 121,102,111,114,32,101,120,97,109,112,108,101,44,80,114,111,102,101,115,115,105, 111,110,97,108,114,101,115,116,114,105,99,116,105,111,110,115,115,117,103,103, 101,115,116,32,116,104,97,116,119,97,115,32,114,101,108,101,97,115,101,100,40, 115,117,99,104,32,97,115,32,116,104,101,114,101,109,111,118,101,67,108,97,115, 115,40,117,110,101,109,112,108,111,121,109,101,110,116,116,104,101,32,65,109,101 ,114,105,99,97,110,115,116,114,117,99,116,117,114,101,32,111,102,47,105,110,100, 101,120,46,104,116,109,108,32,112,117,98,108,105,115,104,101,100,32,105,110,115, 112,97,110,32,99,108,97,115,115,61,34,34,62,60,97,32,104,114,101,102,61,34,47, 105,110,116,114,111,100,117,99,116,105,111,110,98,101,108,111,110,103,105,110, 103,32,116,111,99,108,97,105,109,101,100,32,116,104,97,116,99,111,110,115,101, 113,117,101,110,99,101,115,60,109,101,116,97,32,110,97,109,101,61,34,71,117,105, 100,101,32,116,111,32,116,104,101,111,118,101,114,119,104,101,108,109,105,110, 103,97,103,97,105,110,115,116,32,116,104,101,32,99,111,110,99,101,110,116,114,97 ,116,101,100,44,10,46,110,111,110,116,111,117,99,104,32,111,98,115,101,114,118, 97,116,105,111,110,115,60,47,97,62,10,60,47,100,105,118,62,10,102,32,40,100,111, 99,117,109,101,110,116,46,98,111,114,100,101,114,58,32,49,112,120,32,123,102,111 ,110,116,45,115,105,122,101,58,49,116,114,101,97,116,109,101,110,116,32,111,102, 48,34,32,104,101,105,103,104,116,61,34,49,109,111,100,105,102,105,99,97,116,105, 111,110,73,110,100,101,112,101,110,100,101,110,99,101,100,105,118,105,100,101, 100,32,105,110,116,111,103,114,101,97,116,101,114,32,116,104,97,110,97,99,104, 105,101,118,101,109,101,110,116,115,101,115,116,97,98,108,105,115,104,105,110, 103,74,97,118,97,83,99,114,105,112,116,34,32,110,101,118,101,114,116,104,101,108 ,101,115,115,115,105,103,110,105,102,105,99,97,110,99,101,66,114,111,97,100,99, 97,115,116,105,110,103,62,38,110,98,115,112,59,60,47,116,100,62,99,111,110,116, 97,105,110,101,114,34,62,10,115,117,99,104,32,97,115,32,116,104,101,32,105,110, 102,108,117,101,110,99,101,32,111,102,97,32,112,97,114,116,105,99,117,108,97,114 ,115,114,99,61,39,104,116,116,112,58,47,47,110,97,118,105,103,97,116,105,111,110 ,34,32,104,97,108,102,32,111,102,32,116,104,101,32,115,117,98,115,116,97,110,116 ,105,97,108,32,38,110,98,115,112,59,60,47,100,105,118,62,97,100,118,97,110,116, 97,103,101,32,111,102,100,105,115,99,111,118,101,114,121,32,111,102,102,117,110, 100,97,109,101,110,116,97,108,32,109,101,116,114,111,112,111,108,105,116,97,110, 116,104,101,32,111,112,112,111,115,105,116,101,34,32,120,109,108,58,108,97,110, 103,61,34,100,101,108,105,98,101,114,97,116,101,108,121,97,108,105,103,110,61,99 ,101,110,116,101,114,101,118,111,108,117,116,105,111,110,32,111,102,112,114,101, 115,101,114,118,97,116,105,111,110,105,109,112,114,111,118,101,109,101,110,116, 115,98,101,103,105,110,110,105,110,103,32,105,110,74,101,115,117,115,32,67,104, 114,105,115,116,80,117,98,108,105,99,97,116,105,111,110,115,100,105,115,97,103, 114,101,101,109,101,110,116,116,101,120,116,45,97,108,105,103,110,58,114,44,32, 102,117,110,99,116,105,111,110,40,41,115,105,109,105,108,97,114,105,116,105,101, 115,98,111,100,121,62,60,47,104,116,109,108,62,105,115,32,99,117,114,114,101,110 ,116,108,121,97,108,112,104,97,98,101,116,105,99,97,108,105,115,32,115,111,109, 101,116,105,109,101,115,116,121,112,101,61,34,105,109,97,103,101,47,109,97,110, 121,32,111,102,32,116,104,101,32,102,108,111,119,58,104,105,100,100,101,110,59, 97,118,97,105,108,97,98,108,101,32,105,110,100,101,115,99,114,105,98,101,32,116, 104,101,101,120,105,115,116,101,110,99,101,32,111,102,97,108,108,32,111,118,101, 114,32,116,104,101,116,104,101,32,73,110,116,101,114,110,101,116,9,60,117,108,32 ,99,108,97,115,115,61,34,105,110,115,116,97,108,108,97,116,105,111,110,110,101, 105,103,104,98,111,114,104,111,111,100,97,114,109,101,100,32,102,111,114,99,101, 115,114,101,100,117,99,105,110,103,32,116,104,101,99,111,110,116,105,110,117,101 ,115,32,116,111,78,111,110,101,116,104,101,108,101,115,115,44,116,101,109,112, 101,114,97,116,117,114,101,115,10,9,9,60,97,32,104,114,101,102,61,34,99,108,111, 115,101,32,116,111,32,116,104,101,101,120,97,109,112,108,101,115,32,111,102,32, 105,115,32,97,98,111,117,116,32,116,104,101,40,115,101,101,32,98,101,108,111,119 ,41,46,34,32,105,100,61,34,115,101,97,114,99,104,112,114,111,102,101,115,115,105 ,111,110,97,108,105,115,32,97,118,97,105,108,97,98,108,101,116,104,101,32,111, 102,102,105,99,105,97,108,9,9,60,47,115,99,114,105,112,116,62,10,10,9,9,60,100, 105,118,32,105,100,61,34,97,99,99,101,108,101,114,97,116,105,111,110,116,104,114 ,111,117,103,104,32,116,104,101,32,72,97,108,108,32,111,102,32,70,97,109,101,100 ,101,115,99,114,105,112,116,105,111,110,115,116,114,97,110,115,108,97,116,105, 111,110,115,105,110,116,101,114,102,101,114,101,110,99,101,32,116,121,112,101,61 ,39,116,101,120,116,47,114,101,99,101,110,116,32,121,101,97,114,115,105,110,32, 116,104,101,32,119,111,114,108,100,118,101,114,121,32,112,111,112,117,108,97,114 ,123,98,97,99,107,103,114,111,117,110,100,58,116,114,97,100,105,116,105,111,110, 97,108,32,115,111,109,101,32,111,102,32,116,104,101,32,99,111,110,110,101,99,116 ,101,100,32,116,111,101,120,112,108,111,105,116,97,116,105,111,110,101,109,101, 114,103,101,110,99,101,32,111,102,99,111,110,115,116,105,116,117,116,105,111,110 ,65,32,72,105,115,116,111,114,121,32,111,102,115,105,103,110,105,102,105,99,97, 110,116,32,109,97,110,117,102,97,99,116,117,114,101,100,101,120,112,101,99,116, 97,116,105,111,110,115,62,60,110,111,115,99,114,105,112,116,62,60,99,97,110,32, 98,101,32,102,111,117,110,100,98,101,99,97,117,115,101,32,116,104,101,32,104,97, 115,32,110,111,116,32,98,101,101,110,110,101,105,103,104,98,111,117,114,105,110, 103,119,105,116,104,111,117,116,32,116,104,101,32,97,100,100,101,100,32,116,111, 32,116,104,101,9,60,108,105,32,99,108,97,115,115,61,34,105,110,115,116,114,117, 109,101,110,116,97,108,83,111,118,105,101,116,32,85,110,105,111,110,97,99,107, 110,111,119,108,101,100,103,101,100,119,104,105,99,104,32,99,97,110,32,98,101, 110,97,109,101,32,102,111,114,32,116,104,101,97,116,116,101,110,116,105,111,110, 32,116,111,97,116,116,101,109,112,116,115,32,116,111,32,100,101,118,101,108,111, 112,109,101,110,116,115,73,110,32,102,97,99,116,44,32,116,104,101,60,108,105,32, 99,108,97,115,115,61,34,97,105,109,112,108,105,99,97,116,105,111,110,115,115,117 ,105,116,97,98,108,101,32,102,111,114,109,117,99,104,32,111,102,32,116,104,101, 32,99,111,108,111,110,105,122,97,116,105,111,110,112,114,101,115,105,100,101,110 ,116,105,97,108,99,97,110,99,101,108,66,117,98,98,108,101,32,73,110,102,111,114, 109,97,116,105,111,110,109,111,115,116,32,111,102,32,116,104,101,32,105,115,32, 100,101,115,99,114,105,98,101,100,114,101,115,116,32,111,102,32,116,104,101,32, 109,111,114,101,32,111,114,32,108,101,115,115,105,110,32,83,101,112,116,101,109, 98,101,114,73,110,116,101,108,108,105,103,101,110,99,101,115,114,99,61,34,104, 116,116,112,58,47,47,112,120,59,32,104,101,105,103,104,116,58,32,97,118,97,105, 108,97,98,108,101,32,116,111,109,97,110,117,102,97,99,116,117,114,101,114,104, 117,109,97,110,32,114,105,103,104,116,115,108,105,110,107,32,104,114,101,102,61, 34,47,97,118,97,105,108,97,98,105,108,105,116,121,112,114,111,112,111,114,116, 105,111,110,97,108,111,117,116,115,105,100,101,32,116,104,101,32,97,115,116,114, 111,110,111,109,105,99,97,108,104,117,109,97,110,32,98,101,105,110,103,115,110, 97,109,101,32,111,102,32,116,104,101,32,97,114,101,32,102,111,117,110,100,32,105 ,110,97,114,101,32,98,97,115,101,100,32,111,110,115,109,97,108,108,101,114,32, 116,104,97,110,97,32,112,101,114,115,111,110,32,119,104,111,101,120,112,97,110, 115,105,111,110,32,111,102,97,114,103,117,105,110,103,32,116,104,97,116,110,111, 119,32,107,110,111,119,110,32,97,115,73,110,32,116,104,101,32,101,97,114,108,121 ,105,110,116,101,114,109,101,100,105,97,116,101,100,101,114,105,118,101,100,32, 102,114,111,109,83,99,97,110,100,105,110,97,118,105,97,110,60,47,97,62,60,47,100 ,105,118,62,13,10,99,111,110,115,105,100,101,114,32,116,104,101,97,110,32,101, 115,116,105,109,97,116,101,100,116,104,101,32,78,97,116,105,111,110,97,108,60, 100,105,118,32,105,100,61,34,112,97,103,114,101,115,117,108,116,105,110,103,32, 105,110,99,111,109,109,105,115,115,105,111,110,101,100,97,110,97,108,111,103,111 ,117,115,32,116,111,97,114,101,32,114,101,113,117,105,114,101,100,47,117,108,62, 10,60,47,100,105,118,62,10,119,97,115,32,98,97,115,101,100,32,111,110,97,110,100 ,32,98,101,99,97,109,101,32,97,38,110,98,115,112,59,38,110,98,115,112,59,116,34, 32,118,97,108,117,101,61,34,34,32,119,97,115,32,99,97,112,116,117,114,101,100, 110,111,32,109,111,114,101,32,116,104,97,110,114,101,115,112,101,99,116,105,118, 101,108,121,99,111,110,116,105,110,117,101,32,116,111,32,62,13,10,60,104,101,97, 100,62,13,10,60,119,101,114,101,32,99,114,101,97,116,101,100,109,111,114,101,32, 103,101,110,101,114,97,108,105,110,102,111,114,109,97,116,105,111,110,32,117,115 ,101,100,32,102,111,114,32,116,104,101,105,110,100,101,112,101,110,100,101,110, 116,32,116,104,101,32,73,109,112,101,114,105,97,108,99,111,109,112,111,110,101, 110,116,32,111,102,116,111,32,116,104,101,32,110,111,114,116,104,105,110,99,108, 117,100,101,32,116,104,101,32,67,111,110,115,116,114,117,99,116,105,111,110,115, 105,100,101,32,111,102,32,116,104,101,32,119,111,117,108,100,32,110,111,116,32, 98,101,102,111,114,32,105,110,115,116,97,110,99,101,105,110,118,101,110,116,105, 111,110,32,111,102,109,111,114,101,32,99,111,109,112,108,101,120,99,111,108,108, 101,99,116,105,118,101,108,121,98,97,99,107,103,114,111,117,110,100,58,32,116, 101,120,116,45,97,108,105,103,110,58,32,105,116,115,32,111,114,105,103,105,110, 97,108,105,110,116,111,32,97,99,99,111,117,110,116,116,104,105,115,32,112,114, 111,99,101,115,115,97,110,32,101,120,116,101,110,115,105,118,101,104,111,119,101 ,118,101,114,44,32,116,104,101,116,104,101,121,32,97,114,101,32,110,111,116,114, 101,106,101,99,116,101,100,32,116,104,101,99,114,105,116,105,99,105,115,109,32, 111,102,100,117,114,105,110,103,32,119,104,105,99,104,112,114,111,98,97,98,108, 121,32,116,104,101,116,104,105,115,32,97,114,116,105,99,108,101,40,102,117,110, 99,116,105,111,110,40,41,123,73,116,32,115,104,111,117,108,100,32,98,101,97,110, 32,97,103,114,101,101,109,101,110,116,97,99,99,105,100,101,110,116,97,108,108, 121,100,105,102,102,101,114,115,32,102,114,111,109,65,114,99,104,105,116,101,99, 116,117,114,101,98,101,116,116,101,114,32,107,110,111,119,110,97,114,114,97,110, 103,101,109,101,110,116,115,105,110,102,108,117,101,110,99,101,32,111,110,97,116 ,116,101,110,100,101,100,32,116,104,101,105,100,101,110,116,105,99,97,108,32,116 ,111,115,111,117,116,104,32,111,102,32,116,104,101,112,97,115,115,32,116,104,114 ,111,117,103,104,120,109,108,34,32,116,105,116,108,101,61,34,119,101,105,103,104 ,116,58,98,111,108,100,59,99,114,101,97,116,105,110,103,32,116,104,101,100,105, 115,112,108,97,121,58,110,111,110,101,114,101,112,108,97,99,101,100,32,116,104, 101,60,105,109,103,32,115,114,99,61,34,47,105,104,116,116,112,115,58,47,47,119, 119,119,46,87,111,114,108,100,32,87,97,114,32,73,73,116,101,115,116,105,109,111, 110,105,97,108,115,102,111,117,110,100,32,105,110,32,116,104,101,114,101,113,117 ,105,114,101,100,32,116,111,32,97,110,100,32,116,104,97,116,32,116,104,101,98, 101,116,119,101,101,110,32,116,104,101,32,119,97,115,32,100,101,115,105,103,110, 101,100,99,111,110,115,105,115,116,115,32,111,102,32,99,111,110,115,105,100,101, 114,97,98,108,121,112,117,98,108,105,115,104,101,100,32,98,121,116,104,101,32, 108,97,110,103,117,97,103,101,67,111,110,115,101,114,118,97,116,105,111,110,99, 111,110,115,105,115,116,101,100,32,111,102,114,101,102,101,114,32,116,111,32,116 ,104,101,98,97,99,107,32,116,111,32,116,104,101,32,99,115,115,34,32,109,101,100, 105,97,61,34,80,101,111,112,108,101,32,102,114,111,109,32,97,118,97,105,108,97, 98,108,101,32,111,110,112,114,111,118,101,100,32,116,111,32,98,101,115,117,103, 103,101,115,116,105,111,110,115,34,119,97,115,32,107,110,111,119,110,32,97,115, 118,97,114,105,101,116,105,101,115,32,111,102,108,105,107,101,108,121,32,116,111 ,32,98,101,99,111,109,112,114,105,115,101,100,32,111,102,115,117,112,112,111,114 ,116,32,116,104,101,32,104,97,110,100,115,32,111,102,32,116,104,101,99,111,117, 112,108,101,100,32,119,105,116,104,99,111,110,110,101,99,116,32,97,110,100,32,98 ,111,114,100,101,114,58,110,111,110,101,59,112,101,114,102,111,114,109,97,110,99 ,101,115,98,101,102,111,114,101,32,98,101,105,110,103,108,97,116,101,114,32,98, 101,99,97,109,101,99,97,108,99,117,108,97,116,105,111,110,115,111,102,116,101, 110,32,99,97,108,108,101,100,114,101,115,105,100,101,110,116,115,32,111,102,109, 101,97,110,105,110,103,32,116,104,97,116,62,60,108,105,32,99,108,97,115,115,61, 34,101,118,105,100,101,110,99,101,32,102,111,114,101,120,112,108,97,110,97,116, 105,111,110,115,101,110,118,105,114,111,110,109,101,110,116,115,34,62,60,47,97, 62,60,47,100,105,118,62,119,104,105,99,104,32,97,108,108,111,119,115,73,110,116, 114,111,100,117,99,116,105,111,110,100,101,118,101,108,111,112,101,100,32,98,121 ,97,32,119,105,100,101,32,114,97,110,103,101,111,110,32,98,101,104,97,108,102,32 ,111,102,118,97,108,105,103,110,61,34,116,111,112,34,112,114,105,110,99,105,112, 108,101,32,111,102,97,116,32,116,104,101,32,116,105,109,101,44,60,47,110,111,115 ,99,114,105,112,116,62,13,115,97,105,100,32,116,111,32,104,97,118,101,105,110,32 ,116,104,101,32,102,105,114,115,116,119,104,105,108,101,32,111,116,104,101,114, 115,104,121,112,111,116,104,101,116,105,99,97,108,112,104,105,108,111,115,111, 112,104,101,114,115,112,111,119,101,114,32,111,102,32,116,104,101,99,111,110,116 ,97,105,110,101,100,32,105,110,112,101,114,102,111,114,109,101,100,32,98,121,105 ,110,97,98,105,108,105,116,121,32,116,111,119,101,114,101,32,119,114,105,116,116 ,101,110,115,112,97,110,32,115,116,121,108,101,61,34,105,110,112,117,116,32,110, 97,109,101,61,34,116,104,101,32,113,117,101,115,116,105,111,110,105,110,116,101, 110,100,101,100,32,102,111,114,114,101,106,101,99,116,105,111,110,32,111,102,105 ,109,112,108,105,101,115,32,116,104,97,116,105,110,118,101,110,116,101,100,32, 116,104,101,116,104,101,32,115,116,97,110,100,97,114,100,119,97,115,32,112,114, 111,98,97,98,108,121,108,105,110,107,32,98,101,116,119,101,101,110,112,114,111, 102,101,115,115,111,114,32,111,102,105,110,116,101,114,97,99,116,105,111,110,115 ,99,104,97,110,103,105,110,103,32,116,104,101,73,110,100,105,97,110,32,79,99,101 ,97,110,32,99,108,97,115,115,61,34,108,97,115,116,119,111,114,107,105,110,103,32 ,119,105,116,104,39,104,116,116,112,58,47,47,119,119,119,46,121,101,97,114,115, 32,98,101,102,111,114,101,84,104,105,115,32,119,97,115,32,116,104,101,114,101,99 ,114,101,97,116,105,111,110,97,108,101,110,116,101,114,105,110,103,32,116,104, 101,109,101,97,115,117,114,101,109,101,110,116,115,97,110,32,101,120,116,114,101 ,109,101,108,121,118,97,108,117,101,32,111,102,32,116,104,101,115,116,97,114,116 ,32,111,102,32,116,104,101,10,60,47,115,99,114,105,112,116,62,10,10,97,110,32, 101,102,102,111,114,116,32,116,111,105,110,99,114,101,97,115,101,32,116,104,101, 116,111,32,116,104,101,32,115,111,117,116,104,115,112,97,99,105,110,103,61,34,48 ,34,62,115,117,102,102,105,99,105,101,110,116,108,121,116,104,101,32,69,117,114, 111,112,101,97,110,99,111,110,118,101,114,116,101,100,32,116,111,99,108,101,97, 114,84,105,109,101,111,117,116,100,105,100,32,110,111,116,32,104,97,118,101,99, 111,110,115,101,113,117,101,110,116,108,121,102,111,114,32,116,104,101,32,110, 101,120,116,101,120,116,101,110,115,105,111,110,32,111,102,101,99,111,110,111, 109,105,99,32,97,110,100,97,108,116,104,111,117,103,104,32,116,104,101,97,114, 101,32,112,114,111,100,117,99,101,100,97,110,100,32,119,105,116,104,32,116,104, 101,105,110,115,117,102,102,105,99,105,101,110,116,103,105,118,101,110,32,98,121 ,32,116,104,101,115,116,97,116,105,110,103,32,116,104,97,116,101,120,112,101,110 ,100,105,116,117,114,101,115,60,47,115,112,97,110,62,60,47,97,62,10,116,104,111, 117,103,104,116,32,116,104,97,116,111,110,32,116,104,101,32,98,97,115,105,115,99 ,101,108,108,112,97,100,100,105,110,103,61,105,109,97,103,101,32,111,102,32,116, 104,101,114,101,116,117,114,110,105,110,103,32,116,111,105,110,102,111,114,109, 97,116,105,111,110,44,115,101,112,97,114,97,116,101,100,32,98,121,97,115,115,97, 115,115,105,110,97,116,101,100,115,34,32,99,111,110,116,101,110,116,61,34,97,117 ,116,104,111,114,105,116,121,32,111,102,110,111,114,116,104,119,101,115,116,101, 114,110,60,47,100,105,118,62,10,60,100,105,118,32,34,62,60,47,100,105,118,62,13, 10,32,32,99,111,110,115,117,108,116,97,116,105,111,110,99,111,109,109,117,110, 105,116,121,32,111,102,116,104,101,32,110,97,116,105,111,110,97,108,105,116,32, 115,104,111,117,108,100,32,98,101,112,97,114,116,105,99,105,112,97,110,116,115, 32,97,108,105,103,110,61,34,108,101,102,116,116,104,101,32,103,114,101,97,116, 101,115,116,115,101,108,101,99,116,105,111,110,32,111,102,115,117,112,101,114, 110,97,116,117,114,97,108,100,101,112,101,110,100,101,110,116,32,111,110,105,115 ,32,109,101,110,116,105,111,110,101,100,97,108,108,111,119,105,110,103,32,116, 104,101,119,97,115,32,105,110,118,101,110,116,101,100,97,99,99,111,109,112,97, 110,121,105,110,103,104,105,115,32,112,101,114,115,111,110,97,108,97,118,97,105, 108,97,98,108,101,32,97,116,115,116,117,100,121,32,111,102,32,116,104,101,111, 110,32,116,104,101,32,111,116,104,101,114,101,120,101,99,117,116,105,111,110,32, 111,102,72,117,109,97,110,32,82,105,103,104,116,115,116,101,114,109,115,32,111, 102,32,116,104,101,97,115,115,111,99,105,97,116,105,111,110,115,114,101,115,101, 97,114,99,104,32,97,110,100,115,117,99,99,101,101,100,101,100,32,98,121,100,101, 102,101,97,116,101,100,32,116,104,101,97,110,100,32,102,114,111,109,32,116,104, 101,98,117,116,32,116,104,101,121,32,97,114,101,99,111,109,109,97,110,100,101, 114,32,111,102,115,116,97,116,101,32,111,102,32,116,104,101,121,101,97,114,115, 32,111,102,32,97,103,101,116,104,101,32,115,116,117,100,121,32,111,102,60,117, 108,32,99,108,97,115,115,61,34,115,112,108,97,99,101,32,105,110,32,116,104,101, 119,104,101,114,101,32,104,101,32,119,97,115,60,108,105,32,99,108,97,115,115,61, 34,102,116,104,101,114,101,32,97,114,101,32,110,111,119,104,105,99,104,32,98,101 ,99,97,109,101,104,101,32,112,117,98,108,105,115,104,101,100,101,120,112,114,101 ,115,115,101,100,32,105,110,116,111,32,119,104,105,99,104,32,116,104,101,99,111, 109,109,105,115,115,105,111,110,101,114,102,111,110,116,45,119,101,105,103,104, 116,58,116,101,114,114,105,116,111,114,121,32,111,102,101,120,116,101,110,115, 105,111,110,115,34,62,82,111,109,97,110,32,69,109,112,105,114,101,101,113,117,97 ,108,32,116,111,32,116,104,101,73,110,32,99,111,110,116,114,97,115,116,44,104, 111,119,101,118,101,114,44,32,97,110,100,105,115,32,116,121,112,105,99,97,108, 108,121,97,110,100,32,104,105,115,32,119,105,102,101,40,97,108,115,111,32,99,97, 108,108,101,100,62,60,117,108,32,99,108,97,115,115,61,34,101,102,102,101,99,116, 105,118,101,108,121,32,101,118,111,108,118,101,100,32,105,110,116,111,115,101, 101,109,32,116,111,32,104,97,118,101,119,104,105,99,104,32,105,115,32,116,104, 101,116,104,101,114,101,32,119,97,115,32,110,111,97,110,32,101,120,99,101,108, 108,101,110,116,97,108,108,32,111,102,32,116,104,101,115,101,100,101,115,99,114, 105,98,101,100,32,98,121,73,110,32,112,114,97,99,116,105,99,101,44,98,114,111,97 ,100,99,97,115,116,105,110,103,99,104,97,114,103,101,100,32,119,105,116,104,114, 101,102,108,101,99,116,101,100,32,105,110,115,117,98,106,101,99,116,101,100,32, 116,111,109,105,108,105,116,97,114,121,32,97,110,100,116,111,32,116,104,101,32, 112,111,105,110,116,101,99,111,110,111,109,105,99,97,108,108,121,115,101,116,84, 97,114,103,101,116,105,110,103,97,114,101,32,97,99,116,117,97,108,108,121,118, 105,99,116,111,114,121,32,111,118,101,114,40,41,59,60,47,115,99,114,105,112,116, 62,99,111,110,116,105,110,117,111,117,115,108,121,114,101,113,117,105,114,101, 100,32,102,111,114,101,118,111,108,117,116,105,111,110,97,114,121,97,110,32,101, 102,102,101,99,116,105,118,101,110,111,114,116,104,32,111,102,32,116,104,101,44, 32,119,104,105,99,104,32,119,97,115,32,102,114,111,110,116,32,111,102,32,116,104 ,101,111,114,32,111,116,104,101,114,119,105,115,101,115,111,109,101,32,102,111, 114,109,32,111,102,104,97,100,32,110,111,116,32,98,101,101,110,103,101,110,101, 114,97,116,101,100,32,98,121,105,110,102,111,114,109,97,116,105,111,110,46,112, 101,114,109,105,116,116,101,100,32,116,111,105,110,99,108,117,100,101,115,32,116 ,104,101,100,101,118,101,108,111,112,109,101,110,116,44,101,110,116,101,114,101, 100,32,105,110,116,111,116,104,101,32,112,114,101,118,105,111,117,115,99,111,110 ,115,105,115,116,101,110,116,108,121,97,114,101,32,107,110,111,119,110,32,97,115 ,116,104,101,32,102,105,101,108,100,32,111,102,116,104,105,115,32,116,121,112, 101,32,111,102,103,105,118,101,110,32,116,111,32,116,104,101,116,104,101,32,116, 105,116,108,101,32,111,102,99,111,110,116,97,105,110,115,32,116,104,101,105,110, 115,116,97,110,99,101,115,32,111,102,105,110,32,116,104,101,32,110,111,114,116, 104,100,117,101,32,116,111,32,116,104,101,105,114,97,114,101,32,100,101,115,105, 103,110,101,100,99,111,114,112,111,114,97,116,105,111,110,115,119,97,115,32,116, 104,97,116,32,116,104,101,111,110,101,32,111,102,32,116,104,101,115,101,109,111, 114,101,32,112,111,112,117,108,97,114,115,117,99,99,101,101,100,101,100,32,105, 110,115,117,112,112,111,114,116,32,102,114,111,109,105,110,32,100,105,102,102, 101,114,101,110,116,100,111,109,105,110,97,116,101,100,32,98,121,100,101,115,105 ,103,110,101,100,32,102,111,114,111,119,110,101,114,115,104,105,112,32,111,102, 97,110,100,32,112,111,115,115,105,98,108,121,115,116,97,110,100,97,114,100,105, 122,101,100,114,101,115,112,111,110,115,101,84,101,120,116,119,97,115,32,105,110 ,116,101,110,100,101,100,114,101,99,101,105,118,101,100,32,116,104,101,97,115, 115,117,109,101,100,32,116,104,97,116,97,114,101,97,115,32,111,102,32,116,104, 101,112,114,105,109,97,114,105,108,121,32,105,110,116,104,101,32,98,97,115,105, 115,32,111,102,105,110,32,116,104,101,32,115,101,110,115,101,97,99,99,111,117, 110,116,115,32,102,111,114,100,101,115,116,114,111,121,101,100,32,98,121,97,116, 32,108,101,97,115,116,32,116,119,111,119,97,115,32,100,101,99,108,97,114,101,100 ,99,111,117,108,100,32,110,111,116,32,98,101,83,101,99,114,101,116,97,114,121,32 ,111,102,97,112,112,101,97,114,32,116,111,32,98,101,109,97,114,103,105,110,45, 116,111,112,58,49,47,94,92,115,43,124,92,115,43,36,47,103,101,41,123,116,104,114 ,111,119,32,101,125,59,116,104,101,32,115,116,97,114,116,32,111,102,116,119,111, 32,115,101,112,97,114,97,116,101,108,97,110,103,117,97,103,101,32,97,110,100,119 ,104,111,32,104,97,100,32,98,101,101,110,111,112,101,114,97,116,105,111,110,32, 111,102,100,101,97,116,104,32,111,102,32,116,104,101,114,101,97,108,32,110,117, 109,98,101,114,115,9,60,108,105,110,107,32,114,101,108,61,34,112,114,111,118,105 ,100,101,100,32,116,104,101,116,104,101,32,115,116,111,114,121,32,111,102,99,111 ,109,112,101,116,105,116,105,111,110,115,101,110,103,108,105,115,104,32,40,85,75 ,41,101,110,103,108,105,115,104,32,40,85,83,41,208,156,208,190,208,189,208,179, 208,190,208,187,208,161,209,128,208,191,209,129,208,186,208,184,209,129,209,128, 208,191,209,129,208,186,208,184,209,129,209,128,208,191,209,129,208,186,208,190, 217,132,216,185,216,177,216,168,217,138,216,169,230,173,163,233,171,148,228,184, 173,230,150,135,231,174,128,228,189,147,228,184,173,230,150,135,231,185,129,228, 189,147,228,184,173,230,150,135,230,156,137,233,153,144,229,133,172,229,143,184, 228,186,186,230,176,145,230,148,191,229,186,156,233,152,191,233,135,140,229,183, 180,229,183,180,231,164,190,228,188,154,228,184,187,228,185,137,230,147,141,228, 189,156,231,179,187,231,187,159,230,148,191,231,173,150,230,179,149,232,167,132, 105,110,102,111,114,109,97,99,105,195,179,110,104,101,114,114,97,109,105,101,110 ,116,97,115,101,108,101,99,116,114,195,179,110,105,99,111,100,101,115,99,114,105 ,112,99,105,195,179,110,99,108,97,115,105,102,105,99,97,100,111,115,99,111,110, 111,99,105,109,105,101,110,116,111,112,117,98,108,105,99,97,99,105,195,179,110, 114,101,108,97,99,105,111,110,97,100,97,115,105,110,102,111,114,109,195,161,116, 105,99,97,114,101,108,97,99,105,111,110,97,100,111,115,100,101,112,97,114,116,97 ,109,101,110,116,111,116,114,97,98,97,106,97,100,111,114,101,115,100,105,114,101 ,99,116,97,109,101,110,116,101,97,121,117,110,116,97,109,105,101,110,116,111,109 ,101,114,99,97,100,111,76,105,98,114,101,99,111,110,116,195,161,99,116,101,110, 111,115,104,97,98,105,116,97,99,105,111,110,101,115,99,117,109,112,108,105,109, 105,101,110,116,111,114,101,115,116,97,117,114,97,110,116,101,115,100,105,115, 112,111,115,105,99,105,195,179,110,99,111,110,115,101,99,117,101,110,99,105,97, 101,108,101,99,116,114,195,179,110,105,99,97,97,112,108,105,99,97,99,105,111,110 ,101,115,100,101,115,99,111,110,101,99,116,97,100,111,105,110,115,116,97,108,97, 99,105,195,179,110,114,101,97,108,105,122,97,99,105,195,179,110,117,116,105,108, 105,122,97,99,105,195,179,110,101,110,99,105,99,108,111,112,101,100,105,97,101, 110,102,101,114,109,101,100,97,100,101,115,105,110,115,116,114,117,109,101,110, 116,111,115,101,120,112,101,114,105,101,110,99,105,97,115,105,110,115,116,105, 116,117,99,105,195,179,110,112,97,114,116,105,99,117,108,97,114,101,115,115,117, 98,99,97,116,101,103,111,114,105,97,209,130,208,190,208,187,209,140,208,186,208, 190,208,160,208,190,209,129,209,129,208,184,208,184,209,128,208,176,208,177,208, 190,209,130,209,139,208,177,208,190,208,187,209,140,209,136,208,181,208,191,209, 128,208,190,209,129,209,130,208,190,208,188,208,190,208,182,208,181,209,130,208, 181,208,180,209,128,209,131,208,179,208,184,209,133,209,129,208,187,209,131,209, 135,208,176,208,181,209,129,208,181,208,185,209,135,208,176,209,129,208,178,209, 129,208,181,208,179,208,180,208,176,208,160,208,190,209,129,209,129,208,184,209, 143,208,156,208,190,209,129,208,186,208,178,208,181,208,180,209,128,209,131,208, 179,208,184,208,181,208,179,208,190,209,128,208,190,208,180,208,176,208,178,208, 190,208,191,209,128,208,190,209,129,208,180,208,176,208,189,208,189,209,139,209, 133,208,180,208,190,208,187,208,182,208,189,209,139,208,184,208,188,208,181,208, 189,208,189,208,190,208,156,208,190,209,129,208,186,208,178,209,139,209,128,209, 131,208,177,208,187,208,181,208,185,208,156,208,190,209,129,208,186,208,178,208, 176,209,129,209,130,209,128,208,176,208,189,209,139,208,189,208,184,209,135,208, 181,208,179,208,190,209,128,208,176,208,177,208,190,209,130,208,181,208,180,208, 190,208,187,208,182,208,181,208,189,209,131,209,129,208,187,209,131,208,179,208, 184,209,130,208,181,208,191,208,181,209,128,209,140,208,158,208,180,208,189,208, 176,208,186,208,190,208,191,208,190,209,130,208,190,208,188,209,131,209,128,208, 176,208,177,208,190,209,130,209,131,208,176,208,191,209,128,208,181,208,187,209, 143,208,178,208,190,208,190,208,177,209,137,208,181,208,190,208,180,208,189,208, 190,208,179,208,190,209,129,208,178,208,190,208,181,208,179,208,190,209,129,209, 130,208,176,209,130,209,140,208,184,208,180,209,128,209,131,208,179,208,190,208, 185,209,132,208,190,209,128,209,131,208,188,208,181,209,133,208,190,209,128,208, 190,209,136,208,190,208,191,209,128,208,190,209,130,208,184,208,178,209,129,209, 129,209,139,208,187,208,186,208,176,208,186,208,176,208,182,208,180,209,139,208, 185,208,178,208,187,208,176,209,129,209,130,208,184,208,179,209,128,209,131,208, 191,208,191,209,139,208,178,208,188,208,181,209,129,209,130,208,181,209,128,208, 176,208,177,208,190,209,130,208,176,209,129,208,186,208,176,208,183,208,176,208, 187,208,191,208,181,209,128,208,178,209,139,208,185,208,180,208,181,208,187,208, 176,209,130,209,140,208,180,208,181,208,189,209,140,208,179,208,184,208,191,208, 181,209,128,208,184,208,190,208,180,208,177,208,184,208,183,208,189,208,181,209, 129,208,190,209,129,208,189,208,190,208,178,208,181,208,188,208,190,208,188,208, 181,208,189,209,130,208,186,209,131,208,191,208,184,209,130,209,140,208,180,208, 190,208,187,208,182,208,189,208,176,209,128,208,176,208,188,208,186,208,176,209, 133,208,189,208,176,209,135,208,176,208,187,208,190,208,160,208,176,208,177,208, 190,209,130,208,176,208,162,208,190,208,187,209,140,208,186,208,190,209,129,208, 190,208,178,209,129,208,181,208,188,208,178,209,130,208,190,209,128,208,190,208, 185,208,189,208,176,209,135,208,176,208,187,208,176,209,129,208,191,208,184,209, 129,208,190,208,186,209,129,208,187,209,131,208,182,208,177,209,139,209,129,208, 184,209,129,209,130,208,181,208,188,208,191,208,181,209,135,208,176,209,130,208, 184,208,189,208,190,208,178,208,190,208,179,208,190,208,191,208,190,208,188,208, 190,209,137,208,184,209,129,208,176,208,185,209,130,208,190,208,178,208,191,208, 190,209,135,208,181,208,188,209,131,208,191,208,190,208,188,208,190,209,137,209, 140,208,180,208,190,208,187,208,182,208,189,208,190,209,129,209,129,209,139,208, 187,208,186,208,184,208,177,209,139,209,129,209,130,209,128,208,190,208,180,208, 176,208,189,208,189,209,139,208,181,208,188,208,189,208,190,208,179,208,184,208, 181,208,191,209,128,208,190,208,181,208,186,209,130,208,161,208,181,208,185,209, 135,208,176,209,129,208,188,208,190,208,180,208,181,208,187,208,184,209,130,208, 176,208,186,208,190,208,179,208,190,208,190,208,189,208,187,208,176,208,185,208, 189,208,179,208,190,209,128,208,190,208,180,208,181,208,178,208,181,209,128,209, 129,208,184,209,143,209,129,209,130,209,128,208,176,208,189,208,181,209,132,208, 184,208,187,209,140,208,188,209,139,209,131,209,128,208,190,208,178,208,189,209, 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179,216,167,216,179,216,170,216,186,216,177,217,130,216,170,216,181,216,167,217, 133,217,138,217,133,216,167,217,132,216,168,217,134,216,167,216,170,216,167,217, 132,216,185,216,184,217,138,217,133,101,110,116,101,114,116,97,105,110,109,101, 110,116,117,110,100,101,114,115,116,97,110,100,105,110,103,32,61,32,102,117,110, 99,116,105,111,110,40,41,46,106,112,103,34,32,119,105,100,116,104,61,34,99,111, 110,102,105,103,117,114,97,116,105,111,110,46,112,110,103,34,32,119,105,100,116, 104,61,34,60,98,111,100,121,32,99,108,97,115,115,61,34,77,97,116,104,46,114,97, 110,100,111,109,40,41,99,111,110,116,101,109,112,111,114,97,114,121,32,85,110, 105,116,101,100,32,83,116,97,116,101,115,99,105,114,99,117,109,115,116,97,110,99 ,101,115,46,97,112,112,101,110,100,67,104,105,108,100,40,111,114,103,97,110,105, 122,97,116,105,111,110,115,60,115,112,97,110,32,99,108,97,115,115,61,34,34,62,60 ,105,109,103,32,115,114,99,61,34,47,100,105,115,116,105,110,103,117,105,115,104, 101,100,116,104,111,117,115,97,110,100,115,32,111,102,32,99,111,109,109,117,110, 105,99,97,116,105,111,110,99,108,101,97,114,34,62,60,47,100,105,118,62,105,110, 118,101,115,116,105,103,97,116,105,111,110,102,97,118,105,99,111,110,46,105,99, 111,34,32,109,97,114,103,105,110,45,114,105,103,104,116,58,98,97,115,101,100,32, 111,110,32,116,104,101,32,77,97,115,115,97,99,104,117,115,101,116,116,115,116,97 ,98,108,101,32,98,111,114,100,101,114,61,105,110,116,101,114,110,97,116,105,111, 110,97,108,97,108,115,111,32,107,110,111,119,110,32,97,115,112,114,111,110,117, 110,99,105,97,116,105,111,110,98,97,99,107,103,114,111,117,110,100,58,35,102,112 ,97,100,100,105,110,103,45,108,101,102,116,58,70,111,114,32,101,120,97,109,112, 108,101,44,32,109,105,115,99,101,108,108,97,110,101,111,117,115,38,108,116,59,47 ,109,97,116,104,38,103,116,59,112,115,121,99,104,111,108,111,103,105,99,97,108, 105,110,32,112,97,114,116,105,99,117,108,97,114,101,97,114,99,104,34,32,116,121, 112,101,61,34,102,111,114,109,32,109,101,116,104,111,100,61,34,97,115,32,111,112 ,112,111,115,101,100,32,116,111,83,117,112,114,101,109,101,32,67,111,117,114,116 ,111,99,99,97,115,105,111,110,97,108,108,121,32,65,100,100,105,116,105,111,110, 97,108,108,121,44,78,111,114,116,104,32,65,109,101,114,105,99,97,112,120,59,98, 97,99,107,103,114,111,117,110,100,111,112,112,111,114,116,117,110,105,116,105, 101,115,69,110,116,101,114,116,97,105,110,109,101,110,116,46,116,111,76,111,119, 101,114,67,97,115,101,40,109,97,110,117,102,97,99,116,117,114,105,110,103,112, 114,111,102,101,115,115,105,111,110,97,108,32,99,111,109,98,105,110,101,100,32, 119,105,116,104,70,111,114,32,105,110,115,116,97,110,99,101,44,99,111,110,115, 105,115,116,105,110,103,32,111,102,34,32,109,97,120,108,101,110,103,116,104,61, 34,114,101,116,117,114,110,32,102,97,108,115,101,59,99,111,110,115,99,105,111, 117,115,110,101,115,115,77,101,100,105,116,101,114,114,97,110,101,97,110,101,120 ,116,114,97,111,114,100,105,110,97,114,121,97,115,115,97,115,115,105,110,97,116, 105,111,110,115,117,98,115,101,113,117,101,110,116,108,121,32,98,117,116,116,111 ,110,32,116,121,112,101,61,34,116,104,101,32,110,117,109,98,101,114,32,111,102, 116,104,101,32,111,114,105,103,105,110,97,108,32,99,111,109,112,114,101,104,101, 110,115,105,118,101,114,101,102,101,114,115,32,116,111,32,116,104,101,60,47,117, 108,62,10,60,47,100,105,118,62,10,112,104,105,108,111,115,111,112,104,105,99,97, 108,108,111,99,97,116,105,111,110,46,104,114,101,102,119,97,115,32,112,117,98, 108,105,115,104,101,100,83,97,110,32,70,114,97,110,99,105,115,99,111,40,102,117, 110,99,116,105,111,110,40,41,123,10,60,100,105,118,32,105,100,61,34,109,97,105, 110,115,111,112,104,105,115,116,105,99,97,116,101,100,109,97,116,104,101,109,97, 116,105,99,97,108,32,47,104,101,97,100,62,13,10,60,98,111,100,121,115,117,103, 103,101,115,116,115,32,116,104,97,116,100,111,99,117,109,101,110,116,97,116,105, 111,110,99,111,110,99,101,110,116,114,97,116,105,111,110,114,101,108,97,116,105, 111,110,115,104,105,112,115,109,97,121,32,104,97,118,101,32,98,101,101,110,40, 102,111,114,32,101,120,97,109,112,108,101,44,84,104,105,115,32,97,114,116,105,99 ,108,101,32,105,110,32,115,111,109,101,32,99,97,115,101,115,112,97,114,116,115, 32,111,102,32,116,104,101,32,100,101,102,105,110,105,116,105,111,110,32,111,102, 71,114,101,97,116,32,66,114,105,116,97,105,110,32,99,101,108,108,112,97,100,100, 105,110,103,61,101,113,117,105,118,97,108,101,110,116,32,116,111,112,108,97,99, 101,104,111,108,100,101,114,61,34,59,32,102,111,110,116,45,115,105,122,101,58,32 ,106,117,115,116,105,102,105,99,97,116,105,111,110,98,101,108,105,101,118,101, 100,32,116,104,97,116,115,117,102,102,101,114,101,100,32,102,114,111,109,97,116, 116,101,109,112,116,101,100,32,116,111,32,108,101,97,100,101,114,32,111,102,32, 116,104,101,99,114,105,112,116,34,32,115,114,99,61,34,47,40,102,117,110,99,116, 105,111,110,40,41,32,123,97,114,101,32,97,118,97,105,108,97,98,108,101,10,9,60, 108,105,110,107,32,114,101,108,61,34,32,115,114,99,61,39,104,116,116,112,58,47, 47,105,110,116,101,114,101,115,116,101,100,32,105,110,99,111,110,118,101,110,116 ,105,111,110,97,108,32,34,32,97,108,116,61,34,34,32,47,62,60,47,97,114,101,32, 103,101,110,101,114,97,108,108,121,104,97,115,32,97,108,115,111,32,98,101,101, 110,109,111,115,116,32,112,111,112,117,108,97,114,32,99,111,114,114,101,115,112, 111,110,100,105,110,103,99,114,101,100,105,116,101,100,32,119,105,116,104,116, 121,108,101,61,34,98,111,114,100,101,114,58,60,47,97,62,60,47,115,112,97,110,62, 60,47,46,103,105,102,34,32,119,105,100,116,104,61,34,60,105,102,114,97,109,101, 32,115,114,99,61,34,116,97,98,108,101,32,99,108,97,115,115,61,34,105,110,108,105 ,110,101,45,98,108,111,99,107,59,97,99,99,111,114,100,105,110,103,32,116,111,32, 116,111,103,101,116,104,101,114,32,119,105,116,104,97,112,112,114,111,120,105, 109,97,116,101,108,121,112,97,114,108,105,97,109,101,110,116,97,114,121,109,111, 114,101,32,97,110,100,32,109,111,114,101,100,105,115,112,108,97,121,58,110,111, 110,101,59,116,114,97,100,105,116,105,111,110,97,108,108,121,112,114,101,100,111 ,109,105,110,97,110,116,108,121,38,110,98,115,112,59,124,38,110,98,115,112,59,38 ,110,98,115,112,59,60,47,115,112,97,110,62,32,99,101,108,108,115,112,97,99,105, 110,103,61,60,105,110,112,117,116,32,110,97,109,101,61,34,111,114,34,32,99,111, 110,116,101,110,116,61,34,99,111,110,116,114,111,118,101,114,115,105,97,108,112, 114,111,112,101,114,116,121,61,34,111,103,58,47,120,45,115,104,111,99,107,119,97 ,118,101,45,100,101,109,111,110,115,116,114,97,116,105,111,110,115,117,114,114, 111,117,110,100,101,100,32,98,121,78,101,118,101,114,116,104,101,108,101,115,115 ,44,119,97,115,32,116,104,101,32,102,105,114,115,116,99,111,110,115,105,100,101, 114,97,98,108,101,32,65,108,116,104,111,117,103,104,32,116,104,101,32,99,111,108 ,108,97,98,111,114,97,116,105,111,110,115,104,111,117,108,100,32,110,111,116,32, 98,101,112,114,111,112,111,114,116,105,111,110,32,111,102,60,115,112,97,110,32, 115,116,121,108,101,61,34,107,110,111,119,110,32,97,115,32,116,104,101,32,115, 104,111,114,116,108,121,32,97,102,116,101,114,102,111,114,32,105,110,115,116,97, 110,99,101,44,100,101,115,99,114,105,98,101,100,32,97,115,32,47,104,101,97,100, 62,10,60,98,111,100,121,32,115,116,97,114,116,105,110,103,32,119,105,116,104,105 ,110,99,114,101,97,115,105,110,103,108,121,32,116,104,101,32,102,97,99,116,32, 116,104,97,116,100,105,115,99,117,115,115,105,111,110,32,111,102,109,105,100,100 ,108,101,32,111,102,32,116,104,101,97,110,32,105,110,100,105,118,105,100,117,97, 108,100,105,102,102,105,99,117,108,116,32,116,111,32,112,111,105,110,116,32,111, 102,32,118,105,101,119,104,111,109,111,115,101,120,117,97,108,105,116,121,97,99, 99,101,112,116,97,110,99,101,32,111,102,60,47,115,112,97,110,62,60,47,100,105, 118,62,109,97,110,117,102,97,99,116,117,114,101,114,115,111,114,105,103,105,110, 32,111,102,32,116,104,101,99,111,109,109,111,110,108,121,32,117,115,101,100,105, 109,112,111,114,116,97,110,99,101,32,111,102,100,101,110,111,109,105,110,97,116, 105,111,110,115,98,97,99,107,103,114,111,117,110,100,58,32,35,108,101,110,103, 116,104,32,111,102,32,116,104,101,100,101,116,101,114,109,105,110,97,116,105,111 ,110,97,32,115,105,103,110,105,102,105,99,97,110,116,34,32,98,111,114,100,101, 114,61,34,48,34,62,114,101,118,111,108,117,116,105,111,110,97,114,121,112,114, 105,110,99,105,112,108,101,115,32,111,102,105,115,32,99,111,110,115,105,100,101, 114,101,100,119,97,115,32,100,101,118,101,108,111,112,101,100,73,110,100,111,45, 69,117,114,111,112,101,97,110,118,117,108,110,101,114,97,98,108,101,32,116,111, 112,114,111,112,111,110,101,110,116,115,32,111,102,97,114,101,32,115,111,109,101 ,116,105,109,101,115,99,108,111,115,101,114,32,116,111,32,116,104,101,78,101,119 ,32,89,111,114,107,32,67,105,116,121,32,110,97,109,101,61,34,115,101,97,114,99, 104,97,116,116,114,105,98,117,116,101,100,32,116,111,99,111,117,114,115,101,32, 111,102,32,116,104,101,109,97,116,104,101,109,97,116,105,99,105,97,110,98,121,32 ,116,104,101,32,101,110,100,32,111,102,97,116,32,116,104,101,32,101,110,100,32, 111,102,34,32,98,111,114,100,101,114,61,34,48,34,32,116,101,99,104,110,111,108, 111,103,105,99,97,108,46,114,101,109,111,118,101,67,108,97,115,115,40,98,114,97, 110,99,104,32,111,102,32,116,104,101,101,118,105,100,101,110,99,101,32,116,104, 97,116,33,91,101,110,100,105,102,93,45,45,62,13,10,73,110,115,116,105,116,117, 116,101,32,111,102,32,105,110,116,111,32,97,32,115,105,110,103,108,101,114,101, 115,112,101,99,116,105,118,101,108,121,46,97,110,100,32,116,104,101,114,101,102, 111,114,101,112,114,111,112,101,114,116,105,101,115,32,111,102,105,115,32,108, 111,99,97,116,101,100,32,105,110,115,111,109,101,32,111,102,32,119,104,105,99, 104,84,104,101,114,101,32,105,115,32,97,108,115,111,99,111,110,116,105,110,117, 101,100,32,116,111,32,97,112,112,101,97,114,97,110,99,101,32,111,102,32,38,97, 109,112,59,110,100,97,115,104,59,32,100,101,115,99,114,105,98,101,115,32,116,104 ,101,99,111,110,115,105,100,101,114,97,116,105,111,110,97,117,116,104,111,114,32 ,111,102,32,116,104,101,105,110,100,101,112,101,110,100,101,110,116,108,121,101, 113,117,105,112,112,101,100,32,119,105,116,104,100,111,101,115,32,110,111,116,32 ,104,97,118,101,60,47,97,62,60,97,32,104,114,101,102,61,34,99,111,110,102,117, 115,101,100,32,119,105,116,104,60,108,105,110,107,32,104,114,101,102,61,34,47,97 ,116,32,116,104,101,32,97,103,101,32,111,102,97,112,112,101,97,114,32,105,110,32 ,116,104,101,84,104,101,115,101,32,105,110,99,108,117,100,101,114,101,103,97,114 ,100,108,101,115,115,32,111,102,99,111,117,108,100,32,98,101,32,117,115,101,100, 32,115,116,121,108,101,61,38,113,117,111,116,59,115,101,118,101,114,97,108,32, 116,105,109,101,115,114,101,112,114,101,115,101,110,116,32,116,104,101,98,111, 100,121,62,10,60,47,104,116,109,108,62,116,104,111,117,103,104,116,32,116,111,32 ,98,101,112,111,112,117,108,97,116,105,111,110,32,111,102,112,111,115,115,105,98 ,105,108,105,116,105,101,115,112,101,114,99,101,110,116,97,103,101,32,111,102,97 ,99,99,101,115,115,32,116,111,32,116,104,101,97,110,32,97,116,116,101,109,112, 116,32,116,111,112,114,111,100,117,99,116,105,111,110,32,111,102,106,113,117,101 ,114,121,47,106,113,117,101,114,121,116,119,111,32,100,105,102,102,101,114,101, 110,116,98,101,108,111,110,103,32,116,111,32,116,104,101,101,115,116,97,98,108, 105,115,104,109,101,110,116,114,101,112,108,97,99,105,110,103,32,116,104,101,100 ,101,115,99,114,105,112,116,105,111,110,34,32,100,101,116,101,114,109,105,110, 101,32,116,104,101,97,118,97,105,108,97,98,108,101,32,102,111,114,65,99,99,111, 114,100,105,110,103,32,116,111,32,119,105,100,101,32,114,97,110,103,101,32,111, 102,9,60,100,105,118,32,99,108,97,115,115,61,34,109,111,114,101,32,99,111,109, 109,111,110,108,121,111,114,103,97,110,105,115,97,116,105,111,110,115,102,117, 110,99,116,105,111,110,97,108,105,116,121,119,97,115,32,99,111,109,112,108,101, 116,101,100,32,38,97,109,112,59,109,100,97,115,104,59,32,112,97,114,116,105,99, 105,112,97,116,105,111,110,116,104,101,32,99,104,97,114,97,99,116,101,114,97,110 ,32,97,100,100,105,116,105,111,110,97,108,97,112,112,101,97,114,115,32,116,111, 32,98,101,102,97,99,116,32,116,104,97,116,32,116,104,101,97,110,32,101,120,97, 109,112,108,101,32,111,102,115,105,103,110,105,102,105,99,97,110,116,108,121,111 ,110,109,111,117,115,101,111,118,101,114,61,34,98,101,99,97,117,115,101,32,116, 104,101,121,32,97,115,121,110,99,32,61,32,116,114,117,101,59,112,114,111,98,108, 101,109,115,32,119,105,116,104,115,101,101,109,115,32,116,111,32,104,97,118,101, 116,104,101,32,114,101,115,117,108,116,32,111,102,32,115,114,99,61,34,104,116, 116,112,58,47,47,102,97,109,105,108,105,97,114,32,119,105,116,104,112,111,115, 115,101,115,115,105,111,110,32,111,102,102,117,110,99,116,105,111,110,32,40,41, 32,123,116,111,111,107,32,112,108,97,99,101,32,105,110,97,110,100,32,115,111,109 ,101,116,105,109,101,115,115,117,98,115,116,97,110,116,105,97,108,108,121,60,115 ,112,97,110,62,60,47,115,112,97,110,62,105,115,32,111,102,116,101,110,32,117,115 ,101,100,105,110,32,97,110,32,97,116,116,101,109,112,116,103,114,101,97,116,32, 100,101,97,108,32,111,102,69,110,118,105,114,111,110,109,101,110,116,97,108,115, 117,99,99,101,115,115,102,117,108,108,121,32,118,105,114,116,117,97,108,108,121, 32,97,108,108,50,48,116,104,32,99,101,110,116,117,114,121,44,112,114,111,102,101 ,115,115,105,111,110,97,108,115,110,101,99,101,115,115,97,114,121,32,116,111,32, 100,101,116,101,114,109,105,110,101,100,32,98,121,99,111,109,112,97,116,105,98, 105,108,105,116,121,98,101,99,97,117,115,101,32,105,116,32,105,115,68,105,99,116 ,105,111,110,97,114,121,32,111,102,109,111,100,105,102,105,99,97,116,105,111,110 ,115,84,104,101,32,102,111,108,108,111,119,105,110,103,109,97,121,32,114,101,102 ,101,114,32,116,111,58,67,111,110,115,101,113,117,101,110,116,108,121,44,73,110, 116,101,114,110,97,116,105,111,110,97,108,97,108,116,104,111,117,103,104,32,115, 111,109,101,116,104,97,116,32,119,111,117,108,100,32,98,101,119,111,114,108,100, 39,115,32,102,105,114,115,116,99,108,97,115,115,105,102,105,101,100,32,97,115,98 ,111,116,116,111,109,32,111,102,32,116,104,101,40,112,97,114,116,105,99,117,108, 97,114,108,121,97,108,105,103,110,61,34,108,101,102,116,34,32,109,111,115,116,32 ,99,111,109,109,111,110,108,121,98,97,115,105,115,32,102,111,114,32,116,104,101, 102,111,117,110,100,97,116,105,111,110,32,111,102,99,111,110,116,114,105,98,117, 116,105,111,110,115,112,111,112,117,108,97,114,105,116,121,32,111,102,99,101,110 ,116,101,114,32,111,102,32,116,104,101,116,111,32,114,101,100,117,99,101,32,116, 104,101,106,117,114,105,115,100,105,99,116,105,111,110,115,97,112,112,114,111, 120,105,109,97,116,105,111,110,32,111,110,109,111,117,115,101,111,117,116,61,34, 78,101,119,32,84,101,115,116,97,109,101,110,116,99,111,108,108,101,99,116,105, 111,110,32,111,102,60,47,115,112,97,110,62,60,47,97,62,60,47,105,110,32,116,104, 101,32,85,110,105,116,101,100,102,105,108,109,32,100,105,114,101,99,116,111,114, 45,115,116,114,105,99,116,46,100,116,100,34,62,104,97,115,32,98,101,101,110,32, 117,115,101,100,114,101,116,117,114,110,32,116,111,32,116,104,101,97,108,116,104 ,111,117,103,104,32,116,104,105,115,99,104,97,110,103,101,32,105,110,32,116,104, 101,115,101,118,101,114,97,108,32,111,116,104,101,114,98,117,116,32,116,104,101, 114,101,32,97,114,101,117,110,112,114,101,99,101,100,101,110,116,101,100,105,115 ,32,115,105,109,105,108,97,114,32,116,111,101,115,112,101,99,105,97,108,108,121, 32,105,110,119,101,105,103,104,116,58,32,98,111,108,100,59,105,115,32,99,97,108, 108,101,100,32,116,104,101,99,111,109,112,117,116,97,116,105,111,110,97,108,105, 110,100,105,99,97,116,101,32,116,104,97,116,114,101,115,116,114,105,99,116,101, 100,32,116,111,9,60,109,101,116,97,32,110,97,109,101,61,34,97,114,101,32,116,121 ,112,105,99,97,108,108,121,99,111,110,102,108,105,99,116,32,119,105,116,104,72, 111,119,101,118,101,114,44,32,116,104,101,32,65,110,32,101,120,97,109,112,108, 101,32,111,102,99,111,109,112,97,114,101,100,32,119,105,116,104,113,117,97,110, 116,105,116,105,101,115,32,111,102,114,97,116,104,101,114,32,116,104,97,110,32, 97,99,111,110,115,116,101,108,108,97,116,105,111,110,110,101,99,101,115,115,97, 114,121,32,102,111,114,114,101,112,111,114,116,101,100,32,116,104,97,116,115,112 ,101,99,105,102,105,99,97,116,105,111,110,112,111,108,105,116,105,99,97,108,32, 97,110,100,38,110,98,115,112,59,38,110,98,115,112,59,60,114,101,102,101,114,101, 110,99,101,115,32,116,111,116,104,101,32,115,97,109,101,32,121,101,97,114,71,111 ,118,101,114,110,109,101,110,116,32,111,102,103,101,110,101,114,97,116,105,111, 110,32,111,102,104,97,118,101,32,110,111,116,32,98,101,101,110,115,101,118,101, 114,97,108,32,121,101,97,114,115,99,111,109,109,105,116,109,101,110,116,32,116, 111,9,9,60,117,108,32,99,108,97,115,115,61,34,118,105,115,117,97,108,105,122,97, 116,105,111,110,49,57,116,104,32,99,101,110,116,117,114,121,44,112,114,97,99,116 ,105,116,105,111,110,101,114,115,116,104,97,116,32,104,101,32,119,111,117,108, 100,97,110,100,32,99,111,110,116,105,110,117,101,100,111,99,99,117,112,97,116, 105,111,110,32,111,102,105,115,32,100,101,102,105,110,101,100,32,97,115,99,101, 110,116,114,101,32,111,102,32,116,104,101,116,104,101,32,97,109,111,117,110,116, 32,111,102,62,60,100,105,118,32,115,116,121,108,101,61,34,101,113,117,105,118,97 ,108,101,110,116,32,111,102,100,105,102,102,101,114,101,110,116,105,97,116,101, 98,114,111,117,103,104,116,32,97,98,111,117,116,109,97,114,103,105,110,45,108, 101,102,116,58,32,97,117,116,111,109,97,116,105,99,97,108,108,121,116,104,111, 117,103,104,116,32,111,102,32,97,115,83,111,109,101,32,111,102,32,116,104,101, 115,101,10,60,100,105,118,32,99,108,97,115,115,61,34,105,110,112,117,116,32,99, 108,97,115,115,61,34,114,101,112,108,97,99,101,100,32,119,105,116,104,105,115,32 ,111,110,101,32,111,102,32,116,104,101,101,100,117,99,97,116,105,111,110,32,97, 110,100,105,110,102,108,117,101,110,99,101,100,32,98,121,114,101,112,117,116,97, 116,105,111,110,32,97,115,10,60,109,101,116,97,32,110,97,109,101,61,34,97,99,99, 111,109,109,111,100,97,116,105,111,110,60,47,100,105,118,62,10,60,47,100,105,118 ,62,108,97,114,103,101,32,112,97,114,116,32,111,102,73,110,115,116,105,116,117, 116,101,32,102,111,114,116,104,101,32,115,111,45,99,97,108,108,101,100,32,97,103 ,97,105,110,115,116,32,116,104,101,32,73,110,32,116,104,105,115,32,99,97,115,101 ,44,119,97,115,32,97,112,112,111,105,110,116,101,100,99,108,97,105,109,101,100, 32,116,111,32,98,101,72,111,119,101,118,101,114,44,32,116,104,105,115,68,101,112 ,97,114,116,109,101,110,116,32,111,102,116,104,101,32,114,101,109,97,105,110,105 ,110,103,101,102,102,101,99,116,32,111,110,32,116,104,101,112,97,114,116,105,99, 117,108,97,114,108,121,32,100,101,97,108,32,119,105,116,104,32,116,104,101,10,60 ,100,105,118,32,115,116,121,108,101,61,34,97,108,109,111,115,116,32,97,108,119, 97,121,115,97,114,101,32,99,117,114,114,101,110,116,108,121,101,120,112,114,101, 115,115,105,111,110,32,111,102,112,104,105,108,111,115,111,112,104,121,32,111, 102,102,111,114,32,109,111,114,101,32,116,104,97,110,99,105,118,105,108,105,122, 97,116,105,111,110,115,111,110,32,116,104,101,32,105,115,108,97,110,100,115,101, 108,101,99,116,101,100,73,110,100,101,120,99,97,110,32,114,101,115,117,108,116, 32,105,110,34,32,118,97,108,117,101,61,34,34,32,47,62,116,104,101,32,115,116,114 ,117,99,116,117,114,101,32,47,62,60,47,97,62,60,47,100,105,118,62,77,97,110,121, 32,111,102,32,116,104,101,115,101,99,97,117,115,101,100,32,98,121,32,116,104,101 ,111,102,32,116,104,101,32,85,110,105,116,101,100,115,112,97,110,32,99,108,97, 115,115,61,34,109,99,97,110,32,98,101,32,116,114,97,99,101,100,105,115,32,114, 101,108,97,116,101,100,32,116,111,98,101,99,97,109,101,32,111,110,101,32,111,102 ,105,115,32,102,114,101,113,117,101,110,116,108,121,108,105,118,105,110,103,32, 105,110,32,116,104,101,116,104,101,111,114,101,116,105,99,97,108,108,121,70,111, 108,108,111,119,105,110,103,32,116,104,101,82,101,118,111,108,117,116,105,111, 110,97,114,121,103,111,118,101,114,110,109,101,110,116,32,105,110,105,115,32,100 ,101,116,101,114,109,105,110,101,100,116,104,101,32,112,111,108,105,116,105,99, 97,108,105,110,116,114,111,100,117,99,101,100,32,105,110,115,117,102,102,105,99, 105,101,110,116,32,116,111,100,101,115,99,114,105,112,116,105,111,110,34,62,115, 104,111,114,116,32,115,116,111,114,105,101,115,115,101,112,97,114,97,116,105,111 ,110,32,111,102,97,115,32,116,111,32,119,104,101,116,104,101,114,107,110,111,119 ,110,32,102,111,114,32,105,116,115,119,97,115,32,105,110,105,116,105,97,108,108, 121,100,105,115,112,108,97,121,58,98,108,111,99,107,105,115,32,97,110,32,101,120 ,97,109,112,108,101,116,104,101,32,112,114,105,110,99,105,112,97,108,99,111,110, 115,105,115,116,115,32,111,102,32,97,114,101,99,111,103,110,105,122,101,100,32, 97,115,47,98,111,100,121,62,60,47,104,116,109,108,62,97,32,115,117,98,115,116,97 ,110,116,105,97,108,114,101,99,111,110,115,116,114,117,99,116,101,100,104,101,97 ,100,32,111,102,32,115,116,97,116,101,114,101,115,105,115,116,97,110,99,101,32, 116,111,117,110,100,101,114,103,114,97,100,117,97,116,101,84,104,101,114,101,32, 97,114,101,32,116,119,111,103,114,97,118,105,116,97,116,105,111,110,97,108,97, 114,101,32,100,101,115,99,114,105,98,101,100,105,110,116,101,110,116,105,111,110 ,97,108,108,121,115,101,114,118,101,100,32,97,115,32,116,104,101,99,108,97,115, 115,61,34,104,101,97,100,101,114,111,112,112,111,115,105,116,105,111,110,32,116, 111,102,117,110,100,97,109,101,110,116,97,108,108,121,100,111,109,105,110,97,116 ,101,100,32,116,104,101,97,110,100,32,116,104,101,32,111,116,104,101,114,97,108, 108,105,97,110,99,101,32,119,105,116,104,119,97,115,32,102,111,114,99,101,100,32 ,116,111,114,101,115,112,101,99,116,105,118,101,108,121,44,97,110,100,32,112,111 ,108,105,116,105,99,97,108,105,110,32,115,117,112,112,111,114,116,32,111,102,112 ,101,111,112,108,101,32,105,110,32,116,104,101,50,48,116,104,32,99,101,110,116, 117,114,121,46,97,110,100,32,112,117,98,108,105,115,104,101,100,108,111,97,100, 67,104,97,114,116,98,101,97,116,116,111,32,117,110,100,101,114,115,116,97,110, 100,109,101,109,98,101,114,32,115,116,97,116,101,115,101,110,118,105,114,111,110 ,109,101,110,116,97,108,102,105,114,115,116,32,104,97,108,102,32,111,102,99,111, 117,110,116,114,105,101,115,32,97,110,100,97,114,99,104,105,116,101,99,116,117, 114,97,108,98,101,32,99,111,110,115,105,100,101,114,101,100,99,104,97,114,97,99, 116,101,114,105,122,101,100,99,108,101,97,114,73,110,116,101,114,118,97,108,97, 117,116,104,111,114,105,116,97,116,105,118,101,70,101,100,101,114,97,116,105,111 ,110,32,111,102,119,97,115,32,115,117,99,99,101,101,100,101,100,97,110,100,32, 116,104,101,114,101,32,97,114,101,97,32,99,111,110,115,101,113,117,101,110,99, 101,116,104,101,32,80,114,101,115,105,100,101,110,116,97,108,115,111,32,105,110, 99,108,117,100,101,100,102,114,101,101,32,115,111,102,116,119,97,114,101,115,117 ,99,99,101,115,115,105,111,110,32,111,102,100,101,118,101,108,111,112,101,100,32 ,116,104,101,119,97,115,32,100,101,115,116,114,111,121,101,100,97,119,97,121,32, 102,114,111,109,32,116,104,101,59,10,60,47,115,99,114,105,112,116,62,10,60,97, 108,116,104,111,117,103,104,32,116,104,101,121,102,111,108,108,111,119,101,100, 32,98,121,32,97,109,111,114,101,32,112,111,119,101,114,102,117,108,114,101,115, 117,108,116,101,100,32,105,110,32,97,85,110,105,118,101,114,115,105,116,121,32, 111,102,72,111,119,101,118,101,114,44,32,109,97,110,121,116,104,101,32,112,114, 101,115,105,100,101,110,116,72,111,119,101,118,101,114,44,32,115,111,109,101,105 ,115,32,116,104,111,117,103,104,116,32,116,111,117,110,116,105,108,32,116,104, 101,32,101,110,100,119,97,115,32,97,110,110,111,117,110,99,101,100,97,114,101,32 ,105,109,112,111,114,116,97,110,116,97,108,115,111,32,105,110,99,108,117,100,101 ,115,62,60,105,110,112,117,116,32,116,121,112,101,61,116,104,101,32,99,101,110, 116,101,114,32,111,102,32,68,79,32,78,79,84,32,65,76,84,69,82,117,115,101,100,32 ,116,111,32,114,101,102,101,114,116,104,101,109,101,115,47,63,115,111,114,116,61 ,116,104,97,116,32,104,97,100,32,98,101,101,110,116,104,101,32,98,97,115,105,115 ,32,102,111,114,104,97,115,32,100,101,118,101,108,111,112,101,100,105,110,32,116 ,104,101,32,115,117,109,109,101,114,99,111,109,112,97,114,97,116,105,118,101,108 ,121,100,101,115,99,114,105,98,101,100,32,116,104,101,115,117,99,104,32,97,115, 32,116,104,111,115,101,116,104,101,32,114,101,115,117,108,116,105,110,103,105, 115,32,105,109,112,111,115,115,105,98,108,101,118,97,114,105,111,117,115,32,111, 116,104,101,114,83,111,117,116,104,32,65,102,114,105,99,97,110,104,97,118,101,32 ,116,104,101,32,115,97,109,101,101,102,102,101,99,116,105,118,101,110,101,115, 115,105,110,32,119,104,105,99,104,32,99,97,115,101,59,32,116,101,120,116,45,97, 108,105,103,110,58,115,116,114,117,99,116,117,114,101,32,97,110,100,59,32,98,97, 99,107,103,114,111,117,110,100,58,114,101,103,97,114,100,105,110,103,32,116,104, 101,115,117,112,112,111,114,116,101,100,32,116,104,101,105,115,32,97,108,115,111 ,32,107,110,111,119,110,115,116,121,108,101,61,34,109,97,114,103,105,110,105,110 ,99,108,117,100,105,110,103,32,116,104,101,98,97,104,97,115,97,32,77,101,108,97, 121,117,110,111,114,115,107,32,98,111,107,109,195,165,108,110,111,114,115,107,32 ,110,121,110,111,114,115,107,115,108,111,118,101,110,197,161,196,141,105,110,97, 105,110,116,101,114,110,97,99,105,111,110,97,108,99,97,108,105,102,105,99,97,99, 105,195,179,110,99,111,109,117,110,105,99,97,99,105,195,179,110,99,111,110,115, 116,114,117,99,99,105,195,179,110,34,62,60,100,105,118,32,99,108,97,115,115,61, 34,100,105,115,97,109,98,105,103,117,97,116,105,111,110,68,111,109,97,105,110,78 ,97,109,101,39,44,32,39,97,100,109,105,110,105,115,116,114,97,116,105,111,110, 115,105,109,117,108,116,97,110,101,111,117,115,108,121,116,114,97,110,115,112, 111,114,116,97,116,105,111,110,73,110,116,101,114,110,97,116,105,111,110,97,108, 32,109,97,114,103,105,110,45,98,111,116,116,111,109,58,114,101,115,112,111,110, 115,105,98,105,108,105,116,121,60,33,91,101,110,100,105,102,93,45,45,62,10,60,47 ,62,60,109,101,116,97,32,110,97,109,101,61,34,105,109,112,108,101,109,101,110, 116,97,116,105,111,110,105,110,102,114,97,115,116,114,117,99,116,117,114,101,114 ,101,112,114,101,115,101,110,116,97,116,105,111,110,98,111,114,100,101,114,45,98 ,111,116,116,111,109,58,60,47,104,101,97,100,62,10,60,98,111,100,121,62,61,104, 116,116,112,37,51,65,37,50,70,37,50,70,60,102,111,114,109,32,109,101,116,104,111 ,100,61,34,109,101,116,104,111,100,61,34,112,111,115,116,34,32,47,102,97,118,105 ,99,111,110,46,105,99,111,34,32,125,41,59,10,60,47,115,99,114,105,112,116,62,10, 46,115,101,116,65,116,116,114,105,98,117,116,101,40,65,100,109,105,110,105,115, 116,114,97,116,105,111,110,61,32,110,101,119,32,65,114,114,97,121,40,41,59,60,33 ,91,101,110,100,105,102,93,45,45,62,13,10,100,105,115,112,108,97,121,58,98,108, 111,99,107,59,85,110,102,111,114,116,117,110,97,116,101,108,121,44,34,62,38,110, 98,115,112,59,60,47,100,105,118,62,47,102,97,118,105,99,111,110,46,105,99,111,34 ,62,61,39,115,116,121,108,101,115,104,101,101,116,39,32,105,100,101,110,116,105, 102,105,99,97,116,105,111,110,44,32,102,111,114,32,101,120,97,109,112,108,101,44 ,60,108,105,62,60,97,32,104,114,101,102,61,34,47,97,110,32,97,108,116,101,114, 110,97,116,105,118,101,97,115,32,97,32,114,101,115,117,108,116,32,111,102,112, 116,34,62,60,47,115,99,114,105,112,116,62,10,116,121,112,101,61,34,115,117,98, 109,105,116,34,32,10,40,102,117,110,99,116,105,111,110,40,41,32,123,114,101,99, 111,109,109,101,110,100,97,116,105,111,110,102,111,114,109,32,97,99,116,105,111, 110,61,34,47,116,114,97,110,115,102,111,114,109,97,116,105,111,110,114,101,99, 111,110,115,116,114,117,99,116,105,111,110,46,115,116,121,108,101,46,100,105,115 ,112,108,97,121,32,65,99,99,111,114,100,105,110,103,32,116,111,32,104,105,100, 100,101,110,34,32,110,97,109,101,61,34,97,108,111,110,103,32,119,105,116,104,32, 116,104,101,100,111,99,117,109,101,110,116,46,98,111,100,121,46,97,112,112,114, 111,120,105,109,97,116,101,108,121,32,67,111,109,109,117,110,105,99,97,116,105, 111,110,115,112,111,115,116,34,32,97,99,116,105,111,110,61,34,109,101,97,110,105 ,110,103,32,38,113,117,111,116,59,45,45,60,33,91,101,110,100,105,102,93,45,45,62 ,80,114,105,109,101,32,77,105,110,105,115,116,101,114,99,104,97,114,97,99,116, 101,114,105,115,116,105,99,60,47,97,62,32,60,97,32,99,108,97,115,115,61,116,104, 101,32,104,105,115,116,111,114,121,32,111,102,32,111,110,109,111,117,115,101,111 ,118,101,114,61,34,116,104,101,32,103,111,118,101,114,110,109,101,110,116,104, 114,101,102,61,34,104,116,116,112,115,58,47,47,119,97,115,32,111,114,105,103,105 ,110,97,108,108,121,119,97,115,32,105,110,116,114,111,100,117,99,101,100,99,108, 97,115,115,105,102,105,99,97,116,105,111,110,114,101,112,114,101,115,101,110,116 ,97,116,105,118,101,97,114,101,32,99,111,110,115,105,100,101,114,101,100,60,33, 91,101,110,100,105,102,93,45,45,62,10,10,100,101,112,101,110,100,115,32,111,110, 32,116,104,101,85,110,105,118,101,114,115,105,116,121,32,111,102,32,105,110,32, 99,111,110,116,114,97,115,116,32,116,111,32,112,108,97,99,101,104,111,108,100, 101,114,61,34,105,110,32,116,104,101,32,99,97,115,101,32,111,102,105,110,116,101 ,114,110,97,116,105,111,110,97,108,32,99,111,110,115,116,105,116,117,116,105,111 ,110,97,108,115,116,121,108,101,61,34,98,111,114,100,101,114,45,58,32,102,117, 110,99,116,105,111,110,40,41,32,123,66,101,99,97,117,115,101,32,111,102,32,116, 104,101,45,115,116,114,105,99,116,46,100,116,100,34,62,10,60,116,97,98,108,101, 32,99,108,97,115,115,61,34,97,99,99,111,109,112,97,110,105,101,100,32,98,121,97, 99,99,111,117,110,116,32,111,102,32,116,104,101,60,115,99,114,105,112,116,32,115 ,114,99,61,34,47,110,97,116,117,114,101,32,111,102,32,116,104,101,32,116,104,101 ,32,112,101,111,112,108,101,32,105,110,32,105,110,32,97,100,100,105,116,105,111, 110,32,116,111,115,41,59,32,106,115,46,105,100,32,61,32,105,100,34,32,119,105, 100,116,104,61,34,49,48,48,37,34,114,101,103,97,114,100,105,110,103,32,116,104, 101,32,82,111,109,97,110,32,67,97,116,104,111,108,105,99,97,110,32,105,110,100, 101,112,101,110,100,101,110,116,102,111,108,108,111,119,105,110,103,32,116,104, 101,32,46,103,105,102,34,32,119,105,100,116,104,61,34,49,116,104,101,32,102,111, 108,108,111,119,105,110,103,32,100,105,115,99,114,105,109,105,110,97,116,105,111 ,110,97,114,99,104,97,101,111,108,111,103,105,99,97,108,112,114,105,109,101,32, 109,105,110,105,115,116,101,114,46,106,115,34,62,60,47,115,99,114,105,112,116,62 ,99,111,109,98,105,110,97,116,105,111,110,32,111,102,32,109,97,114,103,105,110, 119,105,100,116,104,61,34,99,114,101,97,116,101,69,108,101,109,101,110,116,40, 119,46,97,116,116,97,99,104,69,118,101,110,116,40,60,47,97,62,60,47,116,100,62, 60,47,116,114,62,115,114,99,61,34,104,116,116,112,115,58,47,47,97,73,110,32,112, 97,114,116,105,99,117,108,97,114,44,32,97,108,105,103,110,61,34,108,101,102,116, 34,32,67,122,101,99,104,32,82,101,112,117,98,108,105,99,85,110,105,116,101,100, 32,75,105,110,103,100,111,109,99,111,114,114,101,115,112,111,110,100,101,110,99, 101,99,111,110,99,108,117,100,101,100,32,116,104,97,116,46,104,116,109,108,34,32 ,116,105,116,108,101,61,34,40,102,117,110,99,116,105,111,110,32,40,41,32,123,99, 111,109,101,115,32,102,114,111,109,32,116,104,101,97,112,112,108,105,99,97,116, 105,111,110,32,111,102,60,115,112,97,110,32,99,108,97,115,115,61,34,115,98,101, 108,105,101,118,101,100,32,116,111,32,98,101,101,109,101,110,116,40,39,115,99, 114,105,112,116,39,60,47,97,62,10,60,47,108,105,62,10,60,108,105,118,101,114,121 ,32,100,105,102,102,101,114,101,110,116,62,60,115,112,97,110,32,99,108,97,115, 115,61,34,111,112,116,105,111,110,32,118,97,108,117,101,61,34,40,97,108,115,111, 32,107,110,111,119,110,32,97,115,9,60,108,105,62,60,97,32,104,114,101,102,61,34, 62,60,105,110,112,117,116,32,110,97,109,101,61,34,115,101,112,97,114,97,116,101, 100,32,102,114,111,109,114,101,102,101,114,114,101,100,32,116,111,32,97,115,32, 118,97,108,105,103,110,61,34,116,111,112,34,62,102,111,117,110,100,101,114,32, 111,102,32,116,104,101,97,116,116,101,109,112,116,105,110,103,32,116,111,32,99, 97,114,98,111,110,32,100,105,111,120,105,100,101,10,10,60,100,105,118,32,99,108, 97,115,115,61,34,99,108,97,115,115,61,34,115,101,97,114,99,104,45,47,98,111,100, 121,62,10,60,47,104,116,109,108,62,111,112,112,111,114,116,117,110,105,116,121, 32,116,111,99,111,109,109,117,110,105,99,97,116,105,111,110,115,60,47,104,101,97 ,100,62,13,10,60,98,111,100,121,32,115,116,121,108,101,61,34,119,105,100,116,104 ,58,84,105,225,186,191,110,103,32,86,105,225,187,135,116,99,104,97,110,103,101, 115,32,105,110,32,116,104,101,98,111,114,100,101,114,45,99,111,108,111,114,58,35 ,48,34,32,98,111,114,100,101,114,61,34,48,34,32,60,47,115,112,97,110,62,60,47, 100,105,118,62,60,119,97,115,32,100,105,115,99,111,118,101,114,101,100,34,32,116 ,121,112,101,61,34,116,101,120,116,34,32,41,59,10,60,47,115,99,114,105,112,116, 62,10,10,68,101,112,97,114,116,109,101,110,116,32,111,102,32,101,99,99,108,101, 115,105,97,115,116,105,99,97,108,116,104,101,114,101,32,104,97,115,32,98,101,101 ,110,114,101,115,117,108,116,105,110,103,32,102,114,111,109,60,47,98,111,100,121 ,62,60,47,104,116,109,108,62,104,97,115,32,110,101,118,101,114,32,98,101,101,110 ,116,104,101,32,102,105,114,115,116,32,116,105,109,101,105,110,32,114,101,115, 112,111,110,115,101,32,116,111,97,117,116,111,109,97,116,105,99,97,108,108,121, 32,60,47,100,105,118,62,10,10,60,100,105,118,32,105,119,97,115,32,99,111,110,115 ,105,100,101,114,101,100,112,101,114,99,101,110,116,32,111,102,32,116,104,101,34 ,32,47,62,60,47,97,62,60,47,100,105,118,62,99,111,108,108,101,99,116,105,111,110 ,32,111,102,32,100,101,115,99,101,110,100,101,100,32,102,114,111,109,115,101,99, 116,105,111,110,32,111,102,32,116,104,101,97,99,99,101,112,116,45,99,104,97,114, 115,101,116,116,111,32,98,101,32,99,111,110,102,117,115,101,100,109,101,109,98, 101,114,32,111,102,32,116,104,101,32,112,97,100,100,105,110,103,45,114,105,103, 104,116,58,116,114,97,110,115,108,97,116,105,111,110,32,111,102,105,110,116,101, 114,112,114,101,116,97,116,105,111,110,32,104,114,101,102,61,39,104,116,116,112, 58,47,47,119,104,101,116,104,101,114,32,111,114,32,110,111,116,84,104,101,114, 101,32,97,114,101,32,97,108,115,111,116,104,101,114,101,32,97,114,101,32,109,97, 110,121,97,32,115,109,97,108,108,32,110,117,109,98,101,114,111,116,104,101,114, 32,112,97,114,116,115,32,111,102,105,109,112,111,115,115,105,98,108,101,32,116, 111,32,32,99,108,97,115,115,61,34,98,117,116,116,111,110,108,111,99,97,116,101, 100,32,105,110,32,116,104,101,46,32,72,111,119,101,118,101,114,44,32,116,104,101 ,97,110,100,32,101,118,101,110,116,117,97,108,108,121,65,116,32,116,104,101,32, 101,110,100,32,111,102,32,98,101,99,97,117,115,101,32,111,102,32,105,116,115,114 ,101,112,114,101,115,101,110,116,115,32,116,104,101,60,102,111,114,109,32,97,99, 116,105,111,110,61,34,32,109,101,116,104,111,100,61,34,112,111,115,116,34,105, 116,32,105,115,32,112,111,115,115,105,98,108,101,109,111,114,101,32,108,105,107, 101,108,121,32,116,111,97,110,32,105,110,99,114,101,97,115,101,32,105,110,104,97 ,118,101,32,97,108,115,111,32,98,101,101,110,99,111,114,114,101,115,112,111,110, 100,115,32,116,111,97,110,110,111,117,110,99,101,100,32,116,104,97,116,97,108, 105,103,110,61,34,114,105,103,104,116,34,62,109,97,110,121,32,99,111,117,110,116 ,114,105,101,115,102,111,114,32,109,97,110,121,32,121,101,97,114,115,101,97,114, 108,105,101,115,116,32,107,110,111,119,110,98,101,99,97,117,115,101,32,105,116, 32,119,97,115,112,116,34,62,60,47,115,99,114,105,112,116,62,13,32,118,97,108,105 ,103,110,61,34,116,111,112,34,32,105,110,104,97,98,105,116,97,110,116,115,32,111 ,102,102,111,108,108,111,119,105,110,103,32,121,101,97,114,13,10,60,100,105,118, 32,99,108,97,115,115,61,34,109,105,108,108,105,111,110,32,112,101,111,112,108, 101,99,111,110,116,114,111,118,101,114,115,105,97,108,32,99,111,110,99,101,114, 110,105,110,103,32,116,104,101,97,114,103,117,101,32,116,104,97,116,32,116,104, 101,103,111,118,101,114,110,109,101,110,116,32,97,110,100,97,32,114,101,102,101, 114,101,110,99,101,32,116,111,116,114,97,110,115,102,101,114,114,101,100,32,116, 111,100,101,115,99,114,105,98,105,110,103,32,116,104,101,32,115,116,121,108,101, 61,34,99,111,108,111,114,58,97,108,116,104,111,117,103,104,32,116,104,101,114, 101,98,101,115,116,32,107,110,111,119,110,32,102,111,114,115,117,98,109,105,116, 34,32,110,97,109,101,61,34,109,117,108,116,105,112,108,105,99,97,116,105,111,110 ,109,111,114,101,32,116,104,97,110,32,111,110,101,32,114,101,99,111,103,110,105, 116,105,111,110,32,111,102,67,111,117,110,99,105,108,32,111,102,32,116,104,101, 101,100,105,116,105,111,110,32,111,102,32,116,104,101,32,32,60,109,101,116,97,32 ,110,97,109,101,61,34,69,110,116,101,114,116,97,105,110,109,101,110,116,32,97, 119,97,121,32,102,114,111,109,32,116,104,101,32,59,109,97,114,103,105,110,45,114 ,105,103,104,116,58,97,116,32,116,104,101,32,116,105,109,101,32,111,102,105,110, 118,101,115,116,105,103,97,116,105,111,110,115,99,111,110,110,101,99,116,101,100 ,32,119,105,116,104,97,110,100,32,109,97,110,121,32,111,116,104,101,114,97,108, 116,104,111,117,103,104,32,105,116,32,105,115,98,101,103,105,110,110,105,110,103 ,32,119,105,116,104,32,60,115,112,97,110,32,99,108,97,115,115,61,34,100,101,115, 99,101,110,100,97,110,116,115,32,111,102,60,115,112,97,110,32,99,108,97,115,115, 61,34,105,32,97,108,105,103,110,61,34,114,105,103,104,116,34,60,47,104,101,97, 100,62,10,60,98,111,100,121,32,97,115,112,101,99,116,115,32,111,102,32,116,104, 101,104,97,115,32,115,105,110,99,101,32,98,101,101,110,69,117,114,111,112,101,97 ,110,32,85,110,105,111,110,114,101,109,105,110,105,115,99,101,110,116,32,111,102 ,109,111,114,101,32,100,105,102,102,105,99,117,108,116,86,105,99,101,32,80,114, 101,115,105,100,101,110,116,99,111,109,112,111,115,105,116,105,111,110,32,111, 102,112,97,115,115,101,100,32,116,104,114,111,117,103,104,109,111,114,101,32,105 ,109,112,111,114,116,97,110,116,102,111,110,116,45,115,105,122,101,58,49,49,112, 120,101,120,112,108,97,110,97,116,105,111,110,32,111,102,116,104,101,32,99,111, 110,99,101,112,116,32,111,102,119,114,105,116,116,101,110,32,105,110,32,116,104, 101,9,60,115,112,97,110,32,99,108,97,115,115,61,34,105,115,32,111,110,101,32,111 ,102,32,116,104,101,32,114,101,115,101,109,98,108,97,110,99,101,32,116,111,111, 110,32,116,104,101,32,103,114,111,117,110,100,115,119,104,105,99,104,32,99,111, 110,116,97,105,110,115,105,110,99,108,117,100,105,110,103,32,116,104,101,32,100, 101,102,105,110,101,100,32,98,121,32,116,104,101,112,117,98,108,105,99,97,116, 105,111,110,32,111,102,109,101,97,110,115,32,116,104,97,116,32,116,104,101,111, 117,116,115,105,100,101,32,111,102,32,116,104,101,115,117,112,112,111,114,116,32 ,111,102,32,116,104,101,60,105,110,112,117,116,32,99,108,97,115,115,61,34,60,115 ,112,97,110,32,99,108,97,115,115,61,34,116,40,77,97,116,104,46,114,97,110,100, 111,109,40,41,109,111,115,116,32,112,114,111,109,105,110,101,110,116,100,101,115 ,99,114,105,112,116,105,111,110,32,111,102,67,111,110,115,116,97,110,116,105,110 ,111,112,108,101,119,101,114,101,32,112,117,98,108,105,115,104,101,100,60,100, 105,118,32,99,108,97,115,115,61,34,115,101,97,112,112,101,97,114,115,32,105,110, 32,116,104,101,49,34,32,104,101,105,103,104,116,61,34,49,34,32,109,111,115,116, 32,105,109,112,111,114,116,97,110,116,119,104,105,99,104,32,105,110,99,108,117, 100,101,115,119,104,105,99,104,32,104,97,100,32,98,101,101,110,100,101,115,116, 114,117,99,116,105,111,110,32,111,102,116,104,101,32,112,111,112,117,108,97,116, 105,111,110,10,9,60,100,105,118,32,99,108,97,115,115,61,34,112,111,115,115,105, 98,105,108,105,116,121,32,111,102,115,111,109,101,116,105,109,101,115,32,117,115 ,101,100,97,112,112,101,97,114,32,116,111,32,104,97,118,101,115,117,99,99,101, 115,115,32,111,102,32,116,104,101,105,110,116,101,110,100,101,100,32,116,111,32, 98,101,112,114,101,115,101,110,116,32,105,110,32,116,104,101,115,116,121,108,101 ,61,34,99,108,101,97,114,58,98,13,10,60,47,115,99,114,105,112,116,62,13,10,60, 119,97,115,32,102,111,117,110,100,101,100,32,105,110,105,110,116,101,114,118,105 ,101,119,32,119,105,116,104,95,105,100,34,32,99,111,110,116,101,110,116,61,34,99 ,97,112,105,116,97,108,32,111,102,32,116,104,101,13,10,60,108,105,110,107,32,114 ,101,108,61,34,115,114,101,108,101,97,115,101,32,111,102,32,116,104,101,112,111, 105,110,116,32,111,117,116,32,116,104,97,116,120,77,76,72,116,116,112,82,101,113 ,117,101,115,116,97,110,100,32,115,117,98,115,101,113,117,101,110,116,115,101,99 ,111,110,100,32,108,97,114,103,101,115,116,118,101,114,121,32,105,109,112,111, 114,116,97,110,116,115,112,101,99,105,102,105,99,97,116,105,111,110,115,115,117, 114,102,97,99,101,32,111,102,32,116,104,101,97,112,112,108,105,101,100,32,116, 111,32,116,104,101,102,111,114,101,105,103,110,32,112,111,108,105,99,121,95,115, 101,116,68,111,109,97,105,110,78,97,109,101,101,115,116,97,98,108,105,115,104, 101,100,32,105,110,105,115,32,98,101,108,105,101,118,101,100,32,116,111,73,110, 32,97,100,100,105,116,105,111,110,32,116,111,109,101,97,110,105,110,103,32,111, 102,32,116,104,101,105,115,32,110,97,109,101,100,32,97,102,116,101,114,116,111, 32,112,114,111,116,101,99,116,32,116,104,101,105,115,32,114,101,112,114,101,115, 101,110,116,101,100,68,101,99,108,97,114,97,116,105,111,110,32,111,102,109,111, 114,101,32,101,102,102,105,99,105,101,110,116,67,108,97,115,115,105,102,105,99, 97,116,105,111,110,111,116,104,101,114,32,102,111,114,109,115,32,111,102,104,101 ,32,114,101,116,117,114,110,101,100,32,116,111,60,115,112,97,110,32,99,108,97, 115,115,61,34,99,112,101,114,102,111,114,109,97,110,99,101,32,111,102,40,102,117 ,110,99,116,105,111,110,40,41,32,123,13,105,102,32,97,110,100,32,111,110,108,121 ,32,105,102,114,101,103,105,111,110,115,32,111,102,32,116,104,101,108,101,97,100 ,105,110,103,32,116,111,32,116,104,101,114,101,108,97,116,105,111,110,115,32,119 ,105,116,104,85,110,105,116,101,100,32,78,97,116,105,111,110,115,115,116,121,108 ,101,61,34,104,101,105,103,104,116,58,111,116,104,101,114,32,116,104,97,110,32, 116,104,101,121,112,101,34,32,99,111,110,116,101,110,116,61,34,65,115,115,111,99 ,105,97,116,105,111,110,32,111,102,10,60,47,104,101,97,100,62,10,60,98,111,100, 121,108,111,99,97,116,101,100,32,111,110,32,116,104,101,105,115,32,114,101,102, 101,114,114,101,100,32,116,111,40,105,110,99,108,117,100,105,110,103,32,116,104, 101,99,111,110,99,101,110,116,114,97,116,105,111,110,115,116,104,101,32,105,110, 100,105,118,105,100,117,97,108,97,109,111,110,103,32,116,104,101,32,109,111,115, 116,116,104,97,110,32,97,110,121,32,111,116,104,101,114,47,62,10,60,108,105,110, 107,32,114,101,108,61,34,32,114,101,116,117,114,110,32,102,97,108,115,101,59,116 ,104,101,32,112,117,114,112,111,115,101,32,111,102,116,104,101,32,97,98,105,108, 105,116,121,32,116,111,59,99,111,108,111,114,58,35,102,102,102,125,10,46,10,60, 115,112,97,110,32,99,108,97,115,115,61,34,116,104,101,32,115,117,98,106,101,99, 116,32,111,102,100,101,102,105,110,105,116,105,111,110,115,32,111,102,62,13,10, 60,108,105,110,107,32,114,101,108,61,34,99,108,97,105,109,32,116,104,97,116,32, 116,104,101,104,97,118,101,32,100,101,118,101,108,111,112,101,100,60,116,97,98, 108,101,32,119,105,100,116,104,61,34,99,101,108,101,98,114,97,116,105,111,110,32 ,111,102,70,111,108,108,111,119,105,110,103,32,116,104,101,32,116,111,32,100,105 ,115,116,105,110,103,117,105,115,104,60,115,112,97,110,32,99,108,97,115,115,61, 34,98,116,97,107,101,115,32,112,108,97,99,101,32,105,110,117,110,100,101,114,32, 116,104,101,32,110,97,109,101,110,111,116,101,100,32,116,104,97,116,32,116,104, 101,62,60,33,91,101,110,100,105,102,93,45,45,62,10,115,116,121,108,101,61,34,109 ,97,114,103,105,110,45,105,110,115,116,101,97,100,32,111,102,32,116,104,101,105, 110,116,114,111,100,117,99,101,100,32,116,104,101,116,104,101,32,112,114,111,99, 101,115,115,32,111,102,105,110,99,114,101,97,115,105,110,103,32,116,104,101,100, 105,102,102,101,114,101,110,99,101,115,32,105,110,101,115,116,105,109,97,116,101 ,100,32,116,104,97,116,101,115,112,101,99,105,97,108,108,121,32,116,104,101,47, 100,105,118,62,60,100,105,118,32,105,100,61,34,119,97,115,32,101,118,101,110,116 ,117,97,108,108,121,116,104,114,111,117,103,104,111,117,116,32,104,105,115,116, 104,101,32,100,105,102,102,101,114,101,110,99,101,115,111,109,101,116,104,105, 110,103,32,116,104,97,116,115,112,97,110,62,60,47,115,112,97,110,62,60,47,115, 105,103,110,105,102,105,99,97,110,116,108,121,32,62,60,47,115,99,114,105,112,116 ,62,13,10,13,10,101,110,118,105,114,111,110,109,101,110,116,97,108,32,116,111,32 ,112,114,101,118,101,110,116,32,116,104,101,104,97,118,101,32,98,101,101,110,32, 117,115,101,100,101,115,112,101,99,105,97,108,108,121,32,102,111,114,117,110,100 ,101,114,115,116,97,110,100,32,116,104,101,105,115,32,101,115,115,101,110,116, 105,97,108,108,121,119,101,114,101,32,116,104,101,32,102,105,114,115,116,105,115 ,32,116,104,101,32,108,97,114,103,101,115,116,104,97,118,101,32,98,101,101,110, 32,109,97,100,101,34,32,115,114,99,61,34,104,116,116,112,58,47,47,105,110,116, 101,114,112,114,101,116,101,100,32,97,115,115,101,99,111,110,100,32,104,97,108, 102,32,111,102,99,114,111,108,108,105,110,103,61,34,110,111,34,32,105,115,32,99, 111,109,112,111,115,101,100,32,111,102,73,73,44,32,72,111,108,121,32,82,111,109, 97,110,105,115,32,101,120,112,101,99,116,101,100,32,116,111,104,97,118,101,32, 116,104,101,105,114,32,111,119,110,100,101,102,105,110,101,100,32,97,115,32,116, 104,101,116,114,97,100,105,116,105,111,110,97,108,108,121,32,104,97,118,101,32, 100,105,102,102,101,114,101,110,116,97,114,101,32,111,102,116,101,110,32,117,115 ,101,100,116,111,32,101,110,115,117,114,101,32,116,104,97,116,97,103,114,101,101 ,109,101,110,116,32,119,105,116,104,99,111,110,116,97,105,110,105,110,103,32,116 ,104,101,97,114,101,32,102,114,101,113,117,101,110,116,108,121,105,110,102,111, 114,109,97,116,105,111,110,32,111,110,101,120,97,109,112,108,101,32,105,115,32, 116,104,101,114,101,115,117,108,116,105,110,103,32,105,110,32,97,60,47,97,62,60, 47,108,105,62,60,47,117,108,62,32,99,108,97,115,115,61,34,102,111,111,116,101, 114,97,110,100,32,101,115,112,101,99,105,97,108,108,121,116,121,112,101,61,34,98 ,117,116,116,111,110,34,32,60,47,115,112,97,110,62,60,47,115,112,97,110,62,119, 104,105,99,104,32,105,110,99,108,117,100,101,100,62,10,60,109,101,116,97,32,110, 97,109,101,61,34,99,111,110,115,105,100,101,114,101,100,32,116,104,101,99,97,114 ,114,105,101,100,32,111,117,116,32,98,121,72,111,119,101,118,101,114,44,32,105, 116,32,105,115,98,101,99,97,109,101,32,112,97,114,116,32,111,102,105,110,32,114, 101,108,97,116,105,111,110,32,116,111,112,111,112,117,108,97,114,32,105,110,32, 116,104,101,116,104,101,32,99,97,112,105,116,97,108,32,111,102,119,97,115,32,111 ,102,102,105,99,105,97,108,108,121,119,104,105,99,104,32,104,97,115,32,98,101, 101,110,116,104,101,32,72,105,115,116,111,114,121,32,111,102,97,108,116,101,114, 110,97,116,105,118,101,32,116,111,100,105,102,102,101,114,101,110,116,32,102,114 ,111,109,116,111,32,115,117,112,112,111,114,116,32,116,104,101,115,117,103,103, 101,115,116,101,100,32,116,104,97,116,105,110,32,116,104,101,32,112,114,111,99, 101,115,115,32,32,60,100,105,118,32,99,108,97,115,115,61,34,116,104,101,32,102, 111,117,110,100,97,116,105,111,110,98,101,99,97,117,115,101,32,111,102,32,104, 105,115,99,111,110,99,101,114,110,101,100,32,119,105,116,104,116,104,101,32,117, 110,105,118,101,114,115,105,116,121,111,112,112,111,115,101,100,32,116,111,32, 116,104,101,116,104,101,32,99,111,110,116,101,120,116,32,111,102,60,115,112,97, 110,32,99,108,97,115,115,61,34,112,116,101,120,116,34,32,110,97,109,101,61,34, 113,34,9,9,60,100,105,118,32,99,108,97,115,115,61,34,116,104,101,32,115,99,105, 101,110,116,105,102,105,99,114,101,112,114,101,115,101,110,116,101,100,32,98,121 ,109,97,116,104,101,109,97,116,105,99,105,97,110,115,101,108,101,99,116,101,100, 32,98,121,32,116,104,101,116,104,97,116,32,104,97,118,101,32,98,101,101,110,62, 60,100,105,118,32,99,108,97,115,115,61,34,99,100,105,118,32,105,100,61,34,104, 101,97,100,101,114,105,110,32,112,97,114,116,105,99,117,108,97,114,44,99,111,110 ,118,101,114,116,101,100,32,105,110,116,111,41,59,10,60,47,115,99,114,105,112, 116,62,10,60,112,104,105,108,111,115,111,112,104,105,99,97,108,32,115,114,112, 115,107,111,104,114,118,97,116,115,107,105,116,105,225,186,191,110,103,32,86,105 ,225,187,135,116,208,160,209,131,209,129,209,129,208,186,208,184,208,185,209,128 ,209,131,209,129,209,129,208,186,208,184,208,185,105,110,118,101,115,116,105,103 ,97,99,105,195,179,110,112,97,114,116,105,99,105,112,97,99,105,195,179,110,208, 186,208,190,209,130,208,190,209,128,209,139,208,181,208,190,208,177,208,187,208, 176,209,129,209,130,208,184,208,186,208,190,209,130,208,190,209,128,209,139,208, 185,209,135,208,181,208,187,208,190,208,178,208,181,208,186,209,129,208,184,209, 129,209,130,208,181,208,188,209,139,208,157,208,190,208,178,208,190,209,129,209, 130,208,184,208,186,208,190,209,130,208,190,209,128,209,139,209,133,208,190,208, 177,208,187,208,176,209,129,209,130,209,140,208,178,209,128,208,181,208,188,208, 181,208,189,208,184,208,186,208,190,209,130,208,190,209,128,208,176,209,143,209, 129,208,181,208,179,208,190,208,180,208,189,209,143,209,129,208,186,208,176,209, 135,208,176,209,130,209,140,208,189,208,190,208,178,208,190,209,129,209,130,208, 184,208,163,208,186,209,128,208,176,208,184,208,189,209,139,208,178,208,190,208, 191,209,128,208,190,209,129,209,139,208,186,208,190,209,130,208,190,209,128,208, 190,208,185,209,129,208,180,208,181,208,187,208,176,209,130,209,140,208,191,208, 190,208,188,208,190,209,137,209,140,209,142,209,129,209,128,208,181,208,180,209, 129,209,130,208,178,208,190,208,177,209,128,208,176,208,183,208,190,208,188,209, 129,209,130,208,190,209,128,208,190,208,189,209,139,209,131,209,135,208,176,209, 129,209,130,208,184,208,181,209,130,208,181,209,135,208,181,208,189,208,184,208, 181,208,147,208,187,208,176,208,178,208,189,208,176,209,143,208,184,209,129,209, 130,208,190,209,128,208,184,208,184,209,129,208,184,209,129,209,130,208,181,208, 188,208,176,209,128,208,181,209,136,208,181,208,189,208,184,209,143,208,161,208, 186,208,176,209,135,208,176,209,130,209,140,208,191,208,190,209,141,209,130,208, 190,208,188,209,131,209,129,208,187,208,181,208,180,209,131,208,181,209,130,209, 129,208,186,208,176,208,183,208,176,209,130,209,140,209,130,208,190,208,178,208, 176,209,128,208,190,208,178,208,186,208,190,208,189,208,181,209,135,208,189,208, 190,209,128,208,181,209,136,208,181,208,189,208,184,208,181,208,186,208,190,209, 130,208,190,209,128,208,190,208,181,208,190,209,128,208,179,208,176,208,189,208, 190,208,178,208,186,208,190,209,130,208,190,209,128,208,190,208,188,208,160,208, 181,208,186,208,187,208,176,208,188,208,176,216,167,217,132,217,133,217,134,216, 170,216,175,217,137,217,133,217,134,216,170,216,175,217,138,216,167,216,170,216, 167,217,132,217,133,217,136,216,182,217,136,216,185,216,167,217,132,216,168,216, 177,216,167,217,133,216,172,216,167,217,132,217,133,217,136,216,167,217,130,216, 185,216,167,217,132,216,177,216,179,216,167,216,166,217,132,217,133,216,180,216, 167,216,177,217,131,216,167,216,170,216,167,217,132,216,163,216,185,216,182,216, 167,216,161,216,167,217,132,216,177,217,138,216,167,216,182,216,169,216,167,217, 132,216,170,216,181,217,133,217,138,217,133,216,167,217,132,216,167,216,185,216, 182,216,167,216,161,216,167,217,132,217,134,216,170,216,167,216,166,216,172,216, 167,217,132,216,163,217,132,216,185,216,167,216,168,216,167,217,132,216,170,216, 179,216,172,217,138,217,132,216,167,217,132,216,163,217,130,216,179,216,167,217, 133,216,167,217,132,216,182,216,186,216,183,216,167,216,170,216,167,217,132,217, 129,217,138,216,175,217,138,217,136,216,167,217,132,216,170,216,177,216,173,217, 138,216,168,216,167,217,132,216,172,216,175,217,138,216,175,216,169,216,167,217, 132,216,170,216,185,217,132,217,138,217,133,216,167,217,132,216,163,216,174,216, 168,216,167,216,177,216,167,217,132,216,167,217,129,217,132,216,167,217,133,216, 167,217,132,216,163,217,129,217,132,216,167,217,133,216,167,217,132,216,170,216, 167,216,177,217,138,216,174,216,167,217,132,216,170,217,130,217,134,217,138,216, 169,216,167,217,132,216,167,217,132,216,185,216,167,216,168,216,167,217,132,216, 174,217,136,216,167,216,183,216,177,216,167,217,132,217,133,216,172,216,170,217, 133,216,185,216,167,217,132,216,175,217,138,217,131,217,136,216,177,216,167,217, 132,216,179,217,138,216,167,216,173,216,169,216,185,216,168,216,175,216,167,217, 132,217,132,217,135,216,167,217,132,216,170,216,177,216,168,217,138,216,169,216, 167,217,132,216,177,217,136,216,167,216,168,216,183,216,167,217,132,216,163,216, 175,216,168,217,138,216,169,216,167,217,132,216,167,216,174,216,168,216,167,216, 177,216,167,217,132,217,133,216,170,216,173,216,175,216,169,216,167,217,132,216, 167,216,186,216,167,217,134,217,138,99,117,114,115,111,114,58,112,111,105,110, 116,101,114,59,60,47,116,105,116,108,101,62,10,60,109,101,116,97,32,34,32,104, 114,101,102,61,34,104,116,116,112,58,47,47,34,62,60,115,112,97,110,32,99,108,97, 115,115,61,34,109,101,109,98,101,114,115,32,111,102,32,116,104,101,32,119,105, 110,100,111,119,46,108,111,99,97,116,105,111,110,118,101,114,116,105,99,97,108, 45,97,108,105,103,110,58,47,97,62,32,124,32,60,97,32,104,114,101,102,61,34,60,33 ,100,111,99,116,121,112,101,32,104,116,109,108,62,109,101,100,105,97,61,34,115, 99,114,101,101,110,34,32,60,111,112,116,105,111,110,32,118,97,108,117,101,61,34, 102,97,118,105,99,111,110,46,105,99,111,34,32,47,62,10,9,9,60,100,105,118,32,99, 108,97,115,115,61,34,99,104,97,114,97,99,116,101,114,105,115,116,105,99,115,34, 32,109,101,116,104,111,100,61,34,103,101,116,34,32,47,98,111,100,121,62,10,60,47 ,104,116,109,108,62,10,115,104,111,114,116,99,117,116,32,105,99,111,110,34,32, 100,111,99,117,109,101,110,116,46,119,114,105,116,101,40,112,97,100,100,105,110, 103,45,98,111,116,116,111,109,58,114,101,112,114,101,115,101,110,116,97,116,105, 118,101,115,115,117,98,109,105,116,34,32,118,97,108,117,101,61,34,97,108,105,103 ,110,61,34,99,101,110,116,101,114,34,32,116,104,114,111,117,103,104,111,117,116, 32,116,104,101,32,115,99,105,101,110,99,101,32,102,105,99,116,105,111,110,10,32, 32,60,100,105,118,32,99,108,97,115,115,61,34,115,117,98,109,105,116,34,32,99,108 ,97,115,115,61,34,111,110,101,32,111,102,32,116,104,101,32,109,111,115,116,32, 118,97,108,105,103,110,61,34,116,111,112,34,62,60,119,97,115,32,101,115,116,97, 98,108,105,115,104,101,100,41,59,13,10,60,47,115,99,114,105,112,116,62,13,10,114 ,101,116,117,114,110,32,102,97,108,115,101,59,34,62,41,46,115,116,121,108,101,46 ,100,105,115,112,108,97,121,98,101,99,97,117,115,101,32,111,102,32,116,104,101, 32,100,111,99,117,109,101,110,116,46,99,111,111,107,105,101,60,102,111,114,109, 32,97,99,116,105,111,110,61,34,47,125,98,111,100,121,123,109,97,114,103,105,110, 58,48,59,69,110,99,121,99,108,111,112,101,100,105,97,32,111,102,118,101,114,115, 105,111,110,32,111,102,32,116,104,101,32,46,99,114,101,97,116,101,69,108,101,109 ,101,110,116,40,110,97,109,101,34,32,99,111,110,116,101,110,116,61,34,60,47,100, 105,118,62,10,60,47,100,105,118,62,10,10,97,100,109,105,110,105,115,116,114,97, 116,105,118,101,32,60,47,98,111,100,121,62,10,60,47,104,116,109,108,62,104,105, 115,116,111,114,121,32,111,102,32,116,104,101,32,34,62,60,105,110,112,117,116,32 ,116,121,112,101,61,34,112,111,114,116,105,111,110,32,111,102,32,116,104,101,32, 97,115,32,112,97,114,116,32,111,102,32,116,104,101,32,38,110,98,115,112,59,60,97 ,32,104,114,101,102,61,34,111,116,104,101,114,32,99,111,117,110,116,114,105,101, 115,34,62,10,60,100,105,118,32,99,108,97,115,115,61,34,60,47,115,112,97,110,62, 60,47,115,112,97,110,62,60,73,110,32,111,116,104,101,114,32,119,111,114,100,115, 44,100,105,115,112,108,97,121,58,32,98,108,111,99,107,59,99,111,110,116,114,111, 108,32,111,102,32,116,104,101,32,105,110,116,114,111,100,117,99,116,105,111,110, 32,111,102,47,62,10,60,109,101,116,97,32,110,97,109,101,61,34,97,115,32,119,101, 108,108,32,97,115,32,116,104,101,32,105,110,32,114,101,99,101,110,116,32,121,101 ,97,114,115,13,10,9,60,100,105,118,32,99,108,97,115,115,61,34,60,47,100,105,118, 62,10,9,60,47,100,105,118,62,10,105,110,115,112,105,114,101,100,32,98,121,32,116 ,104,101,116,104,101,32,101,110,100,32,111,102,32,116,104,101,32,99,111,109,112, 97,116,105,98,108,101,32,119,105,116,104,98,101,99,97,109,101,32,107,110,111,119 ,110,32,97,115,32,115,116,121,108,101,61,34,109,97,114,103,105,110,58,46,106,115 ,34,62,60,47,115,99,114,105,112,116,62,60,32,73,110,116,101,114,110,97,116,105, 111,110,97,108,32,116,104,101,114,101,32,104,97,118,101,32,98,101,101,110,71,101 ,114,109,97,110,32,108,97,110,103,117,97,103,101,32,115,116,121,108,101,61,34,99 ,111,108,111,114,58,35,67,111,109,109,117,110,105,115,116,32,80,97,114,116,121, 99,111,110,115,105,115,116,101,110,116,32,119,105,116,104,98,111,114,100,101,114 ,61,34,48,34,32,99,101,108,108,32,109,97,114,103,105,110,104,101,105,103,104,116 ,61,34,116,104,101,32,109,97,106,111,114,105,116,121,32,111,102,34,32,97,108,105 ,103,110,61,34,99,101,110,116,101,114,114,101,108,97,116,101,100,32,116,111,32, 116,104,101,32,109,97,110,121,32,100,105,102,102,101,114,101,110,116,32,79,114, 116,104,111,100,111,120,32,67,104,117,114,99,104,115,105,109,105,108,97,114,32, 116,111,32,116,104,101,32,47,62,10,60,108,105,110,107,32,114,101,108,61,34,115, 119,97,115,32,111,110,101,32,111,102,32,116,104,101,32,117,110,116,105,108,32, 104,105,115,32,100,101,97,116,104,125,41,40,41,59,10,60,47,115,99,114,105,112, 116,62,111,116,104,101,114,32,108,97,110,103,117,97,103,101,115,99,111,109,112, 97,114,101,100,32,116,111,32,116,104,101,112,111,114,116,105,111,110,115,32,111, 102,32,116,104,101,116,104,101,32,78,101,116,104,101,114,108,97,110,100,115,116, 104,101,32,109,111,115,116,32,99,111,109,109,111,110,98,97,99,107,103,114,111, 117,110,100,58,117,114,108,40,97,114,103,117,101,100,32,116,104,97,116,32,116, 104,101,115,99,114,111,108,108,105,110,103,61,34,110,111,34,32,105,110,99,108, 117,100,101,100,32,105,110,32,116,104,101,78,111,114,116,104,32,65,109,101,114, 105,99,97,110,32,116,104,101,32,110,97,109,101,32,111,102,32,116,104,101,105,110 ,116,101,114,112,114,101,116,97,116,105,111,110,115,116,104,101,32,116,114,97, 100,105,116,105,111,110,97,108,100,101,118,101,108,111,112,109,101,110,116,32, 111,102,32,102,114,101,113,117,101,110,116,108,121,32,117,115,101,100,97,32,99, 111,108,108,101,99,116,105,111,110,32,111,102,118,101,114,121,32,115,105,109,105 ,108,97,114,32,116,111,115,117,114,114,111,117,110,100,105,110,103,32,116,104, 101,101,120,97,109,112,108,101,32,111,102,32,116,104,105,115,97,108,105,103,110, 61,34,99,101,110,116,101,114,34,62,119,111,117,108,100,32,104,97,118,101,32,98, 101,101,110,105,109,97,103,101,95,99,97,112,116,105,111,110,32,61,97,116,116,97, 99,104,101,100,32,116,111,32,116,104,101,115,117,103,103,101,115,116,105,110,103 ,32,116,104,97,116,105,110,32,116,104,101,32,102,111,114,109,32,111,102,32,105, 110,118,111,108,118,101,100,32,105,110,32,116,104,101,105,115,32,100,101,114,105 ,118,101,100,32,102,114,111,109,110,97,109,101,100,32,97,102,116,101,114,32,116, 104,101,73,110,116,114,111,100,117,99,116,105,111,110,32,116,111,114,101,115,116 ,114,105,99,116,105,111,110,115,32,111,110,32,115,116,121,108,101,61,34,119,105, 100,116,104,58,32,99,97,110,32,98,101,32,117,115,101,100,32,116,111,32,116,104, 101,32,99,114,101,97,116,105,111,110,32,111,102,109,111,115,116,32,105,109,112, 111,114,116,97,110,116,32,105,110,102,111,114,109,97,116,105,111,110,32,97,110, 100,114,101,115,117,108,116,101,100,32,105,110,32,116,104,101,99,111,108,108,97, 112,115,101,32,111,102,32,116,104,101,84,104,105,115,32,109,101,97,110,115,32, 116,104,97,116,101,108,101,109,101,110,116,115,32,111,102,32,116,104,101,119,97, 115,32,114,101,112,108,97,99,101,100,32,98,121,97,110,97,108,121,115,105,115,32, 111,102,32,116,104,101,105,110,115,112,105,114,97,116,105,111,110,32,102,111,114 ,114,101,103,97,114,100,101,100,32,97,115,32,116,104,101,109,111,115,116,32,115, 117,99,99,101,115,115,102,117,108,107,110,111,119,110,32,97,115,32,38,113,117, 111,116,59,97,32,99,111,109,112,114,101,104,101,110,115,105,118,101,72,105,115, 116,111,114,121,32,111,102,32,116,104,101,32,119,101,114,101,32,99,111,110,115, 105,100,101,114,101,100,114,101,116,117,114,110,101,100,32,116,111,32,116,104, 101,97,114,101,32,114,101,102,101,114,114,101,100,32,116,111,85,110,115,111,117, 114,99,101,100,32,105,109,97,103,101,62,10,9,60,100,105,118,32,99,108,97,115,115 ,61,34,99,111,110,115,105,115,116,115,32,111,102,32,116,104,101,115,116,111,112, 80,114,111,112,97,103,97,116,105,111,110,105,110,116,101,114,101,115,116,32,105, 110,32,116,104,101,97,118,97,105,108,97,98,105,108,105,116,121,32,111,102,97,112 ,112,101,97,114,115,32,116,111,32,104,97,118,101,101,108,101,99,116,114,111,109, 97,103,110,101,116,105,99,101,110,97,98,108,101,83,101,114,118,105,99,101,115,40 ,102,117,110,99,116,105,111,110,32,111,102,32,116,104,101,73,116,32,105,115,32, 105,109,112,111,114,116,97,110,116,60,47,115,99,114,105,112,116,62,60,47,100,105 ,118,62,102,117,110,99,116,105,111,110,40,41,123,118,97,114,32,114,101,108,97, 116,105,118,101,32,116,111,32,116,104,101,97,115,32,97,32,114,101,115,117,108, 116,32,111,102,32,116,104,101,32,112,111,115,105,116,105,111,110,32,111,102,70, 111,114,32,101,120,97,109,112,108,101,44,32,105,110,32,109,101,116,104,111,100, 61,34,112,111,115,116,34,32,119,97,115,32,102,111,108,108,111,119,101,100,32,98, 121,38,97,109,112,59,109,100,97,115,104,59,32,116,104,101,116,104,101,32,97,112, 112,108,105,99,97,116,105,111,110,106,115,34,62,60,47,115,99,114,105,112,116,62, 13,10,117,108,62,60,47,100,105,118,62,60,47,100,105,118,62,97,102,116,101,114,32 ,116,104,101,32,100,101,97,116,104,119,105,116,104,32,114,101,115,112,101,99,116 ,32,116,111,115,116,121,108,101,61,34,112,97,100,100,105,110,103,58,105,115,32, 112,97,114,116,105,99,117,108,97,114,108,121,100,105,115,112,108,97,121,58,105, 110,108,105,110,101,59,32,116,121,112,101,61,34,115,117,98,109,105,116,34,32,105 ,115,32,100,105,118,105,100,101,100,32,105,110,116,111,228,184,173,230,150,135, 32,40,231,174,128,228,189,147,41,114,101,115,112,111,110,115,97,98,105,108,105, 100,97,100,97,100,109,105,110,105,115,116,114,97,99,105,195,179,110,105,110,116, 101,114,110,97,99,105,111,110,97,108,101,115,99,111,114,114,101,115,112,111,110, 100,105,101,110,116,101,224,164,137,224,164,170,224,164,175,224,165,139,224,164, 151,224,164,170,224,165,130,224,164,176,224,165,141,224,164,181,224,164,185,224, 164,174,224,164,190,224,164,176,224,165,135,224,164,178,224,165,139,224,164,151, 224,165,139,224,164,130,224,164,154,224,165,129,224,164,168,224,164,190,224,164, 181,224,164,178,224,165,135,224,164,149,224,164,191,224,164,168,224,164,184,224, 164,176,224,164,149,224,164,190,224,164,176,224,164,170,224,165,129,224,164,178, 224,164,191,224,164,184,224,164,150,224,165,139,224,164,156,224,165,135,224,164, 130,224,164,154,224,164,190,224,164,185,224,164,191,224,164,143,224,164,173,224, 165,135,224,164,156,224,165,135,224,164,130,224,164,182,224,164,190,224,164,174, 224,164,191,224,164,178,224,164,185,224,164,174,224,164,190,224,164,176,224,165, 128,224,164,156,224,164,190,224,164,151,224,164,176,224,164,163,224,164,172,224, 164,168,224,164,190,224,164,168,224,165,135,224,164,149,224,165,129,224,164,174, 224,164,190,224,164,176,224,164,172,224,165,141,224,164,178,224,165,137,224,164, 151,224,164,174,224,164,190,224,164,178,224,164,191,224,164,149,224,164,174,224, 164,185,224,164,191,224,164,178,224,164,190,224,164,170,224,165,131,224,164,183, 224,165,141,224,164,160,224,164,172,224,164,162,224,164,188,224,164,164,224,165, 135,224,164,173,224,164,190,224,164,156,224,164,170,224,164,190,224,164,149,224, 165,141,224,164,178,224,164,191,224,164,149,224,164,159,224,165,141,224,164,176, 224,165,135,224,164,168,224,164,150,224,164,191,224,164,178,224,164,190,224,164, 171,224,164,166,224,165,140,224,164,176,224,164,190,224,164,168,224,164,174,224, 164,190,224,164,174,224,164,178,224,165,135,224,164,174,224,164,164,224,164,166, 224,164,190,224,164,168,224,164,172,224,164,190,224,164,156,224,164,190,224,164, 176,224,164,181,224,164,191,224,164,149,224,164,190,224,164,184,224,164,149,224, 165,141,224,164,175,224,165,139,224,164,130,224,164,154,224,164,190,224,164,185, 224,164,164,224,165,135,224,164,170,224,164,185,224,165,129,224,164,129,224,164, 154,224,164,172,224,164,164,224,164,190,224,164,175,224,164,190,224,164,184,224, 164,130,224,164,181,224,164,190,224,164,166,224,164,166,224,165,135,224,164,150, 224,164,168,224,165,135,224,164,170,224,164,191,224,164,155,224,164,178,224,165, 135,224,164,181,224,164,191,224,164,182,224,165,135,224,164,183,224,164,176,224, 164,190,224,164,156,224,165,141,224,164,175,224,164,137,224,164,164,224,165,141, 224,164,164,224,164,176,224,164,174,224,165,129,224,164,130,224,164,172,224,164, 136,224,164,166,224,165,139,224,164,168,224,165,139,224,164,130,224,164,137,224, 164,170,224,164,149,224,164,176,224,164,163,224,164,170,224,164,162,224,164,188, 224,165,135,224,164,130,224,164,184,224,165,141,224,164,165,224,164,191,224,164, 164,224,164,171,224,164,191,224,164,178,224,165,141,224,164,174,224,164,174,224, 165,129,224,164,150,224,165,141,224,164,175,224,164,133,224,164,154,224,165,141, 224,164,155,224,164,190,224,164,155,224,165,130,224,164,159,224,164,164,224,165, 128,224,164,184,224,164,130,224,164,151,224,165,128,224,164,164,224,164,156,224, 164,190,224,164,143,224,164,151,224,164,190,224,164,181,224,164,191,224,164,173, 224,164,190,224,164,151,224,164,152,224,164,163,224,165,141,224,164,159,224,165, 135,224,164,166,224,165,130,224,164,184,224,164,176,224,165,135,224,164,166,224, 164,191,224,164,168,224,165,139,224,164,130,224,164,185,224,164,164,224,165,141, 224,164,175,224,164,190,224,164,184,224,165,135,224,164,149,224,165,141,224,164, 184,224,164,151,224,164,190,224,164,130,224,164,167,224,165,128,224,164,181,224, 164,191,224,164,182,224,165,141,224,164,181,224,164,176,224,164,190,224,164,164, 224,165,135,224,164,130,224,164,166,224,165,136,224,164,159,224,165,141,224,164, 184,224,164,168,224,164,149,224,165,141,224,164,182,224,164,190,224,164,184,224, 164,190,224,164,174,224,164,168,224,165,135,224,164,133,224,164,166,224,164,190, 224,164,178,224,164,164,224,164,172,224,164,191,224,164,156,224,164,178,224,165, 128,224,164,170,224,165,129,224,164,176,224,165,130,224,164,183,224,164,185,224, 164,191,224,164,130,224,164,166,224,165,128,224,164,174,224,164,191,224,164,164, 224,165,141,224,164,176,224,164,149,224,164,181,224,164,191,224,164,164,224,164, 190,224,164,176,224,165,129,224,164,170,224,164,175,224,165,135,224,164,184,224, 165,141,224,164,165,224,164,190,224,164,168,224,164,149,224,164,176,224,165,139, 224,164,161,224,164,188,224,164,174,224,165,129,224,164,149,224,165,141,224,164, 164,224,164,175,224,165,139,224,164,156,224,164,168,224,164,190,224,164,149,224, 165,131,224,164,170,224,164,175,224,164,190,224,164,170,224,165,139,224,164,184, 224,165,141,224,164,159,224,164,152,224,164,176,224,165,135,224,164,178,224,165, 130,224,164,149,224,164,190,224,164,176,224,165,141,224,164,175,224,164,181,224, 164,191,224,164,154,224,164,190,224,164,176,224,164,184,224,165,130,224,164,154, 224,164,168,224,164,190,224,164,174,224,165,130,224,164,178,224,165,141,224,164, 175,224,164,166,224,165,135,224,164,150,224,165,135,224,164,130,224,164,185,224, 164,174,224,165,135,224,164,182,224,164,190,224,164,184,224,165,141,224,164,149, 224,165,130,224,164,178,224,164,174,224,165,136,224,164,130,224,164,168,224,165, 135,224,164,164,224,165,136,224,164,175,224,164,190,224,164,176,224,164,156,224, 164,191,224,164,184,224,164,149,224,165,135,114,115,115,43,120,109,108,34,32,116 ,105,116,108,101,61,34,45,116,121,112,101,34,32,99,111,110,116,101,110,116,61,34 ,116,105,116,108,101,34,32,99,111,110,116,101,110,116,61,34,97,116,32,116,104, 101,32,115,97,109,101,32,116,105,109,101,46,106,115,34,62,60,47,115,99,114,105, 112,116,62,10,60,34,32,109,101,116,104,111,100,61,34,112,111,115,116,34,32,60,47 ,115,112,97,110,62,60,47,97,62,60,47,108,105,62,118,101,114,116,105,99,97,108,45 ,97,108,105,103,110,58,116,47,106,113,117,101,114,121,46,109,105,110,46,106,115, 34,62,46,99,108,105,99,107,40,102,117,110,99,116,105,111,110,40,32,115,116,121, 108,101,61,34,112,97,100,100,105,110,103,45,125,41,40,41,59,10,60,47,115,99,114, 105,112,116,62,10,60,47,115,112,97,110,62,60,97,32,104,114,101,102,61,34,60,97, 32,104,114,101,102,61,34,104,116,116,112,58,47,47,41,59,32,114,101,116,117,114, 110,32,102,97,108,115,101,59,116,101,120,116,45,100,101,99,111,114,97,116,105, 111,110,58,32,115,99,114,111,108,108,105,110,103,61,34,110,111,34,32,98,111,114, 100,101,114,45,99,111,108,108,97,112,115,101,58,97,115,115,111,99,105,97,116,101 ,100,32,119,105,116,104,32,66,97,104,97,115,97,32,73,110,100,111,110,101,115,105 ,97,69,110,103,108,105,115,104,32,108,97,110,103,117,97,103,101,60,116,101,120, 116,32,120,109,108,58,115,112,97,99,101,61,46,103,105,102,34,32,98,111,114,100, 101,114,61,34,48,34,60,47,98,111,100,121,62,10,60,47,104,116,109,108,62,10,111, 118,101,114,102,108,111,119,58,104,105,100,100,101,110,59,105,109,103,32,115,114 ,99,61,34,104,116,116,112,58,47,47,97,100,100,69,118,101,110,116,76,105,115,116, 101,110,101,114,114,101,115,112,111,110,115,105,98,108,101,32,102,111,114,32,115 ,46,106,115,34,62,60,47,115,99,114,105,112,116,62,10,47,102,97,118,105,99,111, 110,46,105,99,111,34,32,47,62,111,112,101,114,97,116,105,110,103,32,115,121,115, 116,101,109,34,32,115,116,121,108,101,61,34,119,105,100,116,104,58,49,116,97,114 ,103,101,116,61,34,95,98,108,97,110,107,34,62,83,116,97,116,101,32,85,110,105, 118,101,114,115,105,116,121,116,101,120,116,45,97,108,105,103,110,58,108,101,102 ,116,59,10,100,111,99,117,109,101,110,116,46,119,114,105,116,101,40,44,32,105, 110,99,108,117,100,105,110,103,32,116,104,101,32,97,114,111,117,110,100,32,116, 104,101,32,119,111,114,108,100,41,59,13,10,60,47,115,99,114,105,112,116,62,13,10 ,60,34,32,115,116,121,108,101,61,34,104,101,105,103,104,116,58,59,111,118,101, 114,102,108,111,119,58,104,105,100,100,101,110,109,111,114,101,32,105,110,102, 111,114,109,97,116,105,111,110,97,110,32,105,110,116,101,114,110,97,116,105,111, 110,97,108,97,32,109,101,109,98,101,114,32,111,102,32,116,104,101,32,111,110,101 ,32,111,102,32,116,104,101,32,102,105,114,115,116,99,97,110,32,98,101,32,102,111 ,117,110,100,32,105,110,32,60,47,100,105,118,62,10,9,9,60,47,100,105,118,62,10, 100,105,115,112,108,97,121,58,32,110,111,110,101,59,34,62,34,32,47,62,10,60,108, 105,110,107,32,114,101,108,61,34,10,32,32,40,102,117,110,99,116,105,111,110,40, 41,32,123,116,104,101,32,49,53,116,104,32,99,101,110,116,117,114,121,46,112,114, 101,118,101,110,116,68,101,102,97,117,108,116,40,108,97,114,103,101,32,110,117, 109,98,101,114,32,111,102,32,66,121,122,97,110,116,105,110,101,32,69,109,112,105 ,114,101,46,106,112,103,124,116,104,117,109,98,124,108,101,102,116,124,118,97, 115,116,32,109,97,106,111,114,105,116,121,32,111,102,109,97,106,111,114,105,116, 121,32,111,102,32,116,104,101,32,32,97,108,105,103,110,61,34,99,101,110,116,101, 114,34,62,85,110,105,118,101,114,115,105,116,121,32,80,114,101,115,115,100,111, 109,105,110,97,116,101,100,32,98,121,32,116,104,101,83,101,99,111,110,100,32,87, 111,114,108,100,32,87,97,114,100,105,115,116,114,105,98,117,116,105,111,110,32, 111,102,32,115,116,121,108,101,61,34,112,111,115,105,116,105,111,110,58,116,104, 101,32,114,101,115,116,32,111,102,32,116,104,101,32,99,104,97,114,97,99,116,101, 114,105,122,101,100,32,98,121,32,114,101,108,61,34,110,111,102,111,108,108,111, 119,34,62,100,101,114,105,118,101,115,32,102,114,111,109,32,116,104,101,114,97, 116,104,101,114,32,116,104,97,110,32,116,104,101,32,97,32,99,111,109,98,105,110, 97,116,105,111,110,32,111,102,115,116,121,108,101,61,34,119,105,100,116,104,58, 49,48,48,69,110,103,108,105,115,104,45,115,112,101,97,107,105,110,103,99,111,109 ,112,117,116,101,114,32,115,99,105,101,110,99,101,98,111,114,100,101,114,61,34, 48,34,32,97,108,116,61,34,116,104,101,32,101,120,105,115,116,101,110,99,101,32, 111,102,68,101,109,111,99,114,97,116,105,99,32,80,97,114,116,121,34,32,115,116, 121,108,101,61,34,109,97,114,103,105,110,45,70,111,114,32,116,104,105,115,32,114 ,101,97,115,111,110,44,46,106,115,34,62,60,47,115,99,114,105,112,116,62,10,9,115 ,66,121,84,97,103,78,97,109,101,40,115,41,91,48,93,106,115,34,62,60,47,115,99, 114,105,112,116,62,13,10,60,46,106,115,34,62,60,47,115,99,114,105,112,116,62,13, 10,108,105,110,107,32,114,101,108,61,34,105,99,111,110,34,32,39,32,97,108,116,61 ,39,39,32,99,108,97,115,115,61,39,102,111,114,109,97,116,105,111,110,32,111,102, 32,116,104,101,118,101,114,115,105,111,110,115,32,111,102,32,116,104,101,32,60, 47,97,62,60,47,100,105,118,62,60,47,100,105,118,62,47,112,97,103,101,62,10,32,32 ,60,112,97,103,101,62,10,60,100,105,118,32,99,108,97,115,115,61,34,99,111,110, 116,98,101,99,97,109,101,32,116,104,101,32,102,105,114,115,116,98,97,104,97,115, 97,32,73,110,100,111,110,101,115,105,97,101,110,103,108,105,115,104,32,40,115, 105,109,112,108,101,41,206,149,206,187,206,187,206,183,206,189,206,185,206,186, 206,172,209,133,209,128,208,178,208,176,209,130,209,129,208,186,208,184,208,186, 208,190,208,188,208,191,208,176,208,189,208,184,208,184,209,143,208,178,208,187, 209,143,208,181,209,130,209,129,209,143,208,148,208,190,208,177,208,176,208,178, 208,184,209,130,209,140,209,135,208,181,208,187,208,190,208,178,208,181,208,186, 208,176,209,128,208,176,208,183,208,178,208,184,209,130,208,184,209,143,208,152, 208,189,209,130,208,181,209,128,208,189,208,181,209,130,208,158,209,130,208,178, 208,181,209,130,208,184,209,130,209,140,208,189,208,176,208,191,209,128,208,184, 208,188,208,181,209,128,208,184,208,189,209,130,208,181,209,128,208,189,208,181, 209,130,208,186,208,190,209,130,208,190,209,128,208,190,208,179,208,190,209,129, 209,130,209,128,208,176,208,189,208,184,209,134,209,139,208,186,208,176,209,135, 208,181,209,129,209,130,208,178,208,181,209,131,209,129,208,187,208,190,208,178, 208,184,209,143,209,133,208,191,209,128,208,190,208,177,208,187,208,181,208,188, 209,139,208,191,208,190,208,187,209,131,209,135,208,184,209,130,209,140,209,143, 208,178,208,187,209,143,209,142,209,130,209,129,209,143,208,189,208,176,208,184, 208,177,208,190,208,187,208,181,208,181,208,186,208,190,208,188,208,191,208,176, 208,189,208,184,209,143,208,178,208,189,208,184,208,188,208,176,208,189,208,184, 208,181,209,129,209,128,208,181,208,180,209,129,209,130,208,178,208,176,216,167, 217,132,217,133,217,136,216,167,216,182,217,138,216,185,216,167,217,132,216,177, 216,166,217,138,216,179,217,138,216,169,216,167,217,132,216,167,217,134,216,170, 217,130,216,167,217,132,217,133,216,180,216,167,216,177,217,131,216,167,216,170, 217,131,216,167,217,132,216,179,217,138,216,167,216,177,216,167,216,170,216,167, 217,132,217,133,217,131,216,170,217,136,216,168,216,169,216,167,217,132,216,179, 216,185,217,136,216,175,217,138,216,169,216,167,216,173,216,181,216,167,216,166, 217,138,216,167,216,170,216,167,217,132,216,185,216,167,217,132,217,133,217,138, 216,169,216,167,217,132,216,181,217,136,216,170,217,138,216,167,216,170,216,167, 217,132,216,167,217,134,216,170,216,177,217,134,216,170,216,167,217,132,216,170, 216,181,216,167,217,133,217,138,217,133,216,167,217,132,216,165,216,179,217,132, 216,167,217,133,217,138,216,167,217,132,217,133,216,180,216,167,216,177,217,131, 216,169,216,167,217,132,217,133,216,177,216,166,217,138,216,167,216,170,114,111, 98,111,116,115,34,32,99,111,110,116,101,110,116,61,34,60,100,105,118,32,105,100, 61,34,102,111,111,116,101,114,34,62,116,104,101,32,85,110,105,116,101,100,32,83, 116,97,116,101,115,60,105,109,103,32,115,114,99,61,34,104,116,116,112,58,47,47, 46,106,112,103,124,114,105,103,104,116,124,116,104,117,109,98,124,46,106,115,34, 62,60,47,115,99,114,105,112,116,62,13,10,60,108,111,99,97,116,105,111,110,46,112 ,114,111,116,111,99,111,108,102,114,97,109,101,98,111,114,100,101,114,61,34,48, 34,32,115,34,32,47,62,10,60,109,101,116,97,32,110,97,109,101,61,34,60,47,97,62, 60,47,100,105,118,62,60,47,100,105,118,62,60,102,111,110,116,45,119,101,105,103, 104,116,58,98,111,108,100,59,38,113,117,111,116,59,32,97,110,100,32,38,113,117, 111,116,59,100,101,112,101,110,100,105,110,103,32,111,110,32,116,104,101,32,109, 97,114,103,105,110,58,48,59,112,97,100,100,105,110,103,58,34,32,114,101,108,61, 34,110,111,102,111,108,108,111,119,34,32,80,114,101,115,105,100,101,110,116,32, 111,102,32,116,104,101,32,116,119,101,110,116,105,101,116,104,32,99,101,110,116, 117,114,121,101,118,105,115,105,111,110,62,10,32,32,60,47,112,97,103,101,73,110, 116,101,114,110,101,116,32,69,120,112,108,111,114,101,114,97,46,97,115,121,110, 99,32,61,32,116,114,117,101,59,13,10,105,110,102,111,114,109,97,116,105,111,110, 32,97,98,111,117,116,60,100,105,118,32,105,100,61,34,104,101,97,100,101,114,34, 62,34,32,97,99,116,105,111,110,61,34,104,116,116,112,58,47,47,60,97,32,104,114, 101,102,61,34,104,116,116,112,115,58,47,47,60,100,105,118,32,105,100,61,34,99, 111,110,116,101,110,116,34,60,47,100,105,118,62,13,10,60,47,100,105,118,62,13,10 ,60,100,101,114,105,118,101,100,32,102,114,111,109,32,116,104,101,32,60,105,109, 103,32,115,114,99,61,39,104,116,116,112,58,47,47,97,99,99,111,114,100,105,110, 103,32,116,111,32,116,104,101,32,10,60,47,98,111,100,121,62,10,60,47,104,116,109 ,108,62,10,115,116,121,108,101,61,34,102,111,110,116,45,115,105,122,101,58,115, 99,114,105,112,116,32,108,97,110,103,117,97,103,101,61,34,65,114,105,97,108,44, 32,72,101,108,118,101,116,105,99,97,44,60,47,97,62,60,115,112,97,110,32,99,108, 97,115,115,61,34,60,47,115,99,114,105,112,116,62,60,115,99,114,105,112,116,32, 112,111,108,105,116,105,99,97,108,32,112,97,114,116,105,101,115,116,100,62,60,47 ,116,114,62,60,47,116,97,98,108,101,62,60,104,114,101,102,61,34,104,116,116,112, 58,47,47,119,119,119,46,105,110,116,101,114,112,114,101,116,97,116,105,111,110, 32,111,102,114,101,108,61,34,115,116,121,108,101,115,104,101,101,116,34,32,100, 111,99,117,109,101,110,116,46,119,114,105,116,101,40,39,60,99,104,97,114,115,101 ,116,61,34,117,116,102,45,56,34,62,10,98,101,103,105,110,110,105,110,103,32,111, 102,32,116,104,101,32,114,101,118,101,97,108,101,100,32,116,104,97,116,32,116, 104,101,116,101,108,101,118,105,115,105,111,110,32,115,101,114,105,101,115,34,32 ,114,101,108,61,34,110,111,102,111,108,108,111,119,34,62,32,116,97,114,103,101, 116,61,34,95,98,108,97,110,107,34,62,99,108,97,105,109,105,110,103,32,116,104,97 ,116,32,116,104,101,104,116,116,112,37,51,65,37,50,70,37,50,70,119,119,119,46, 109,97,110,105,102,101,115,116,97,116,105,111,110,115,32,111,102,80,114,105,109, 101,32,77,105,110,105,115,116,101,114,32,111,102,105,110,102,108,117,101,110,99, 101,100,32,98,121,32,116,104,101,99,108,97,115,115,61,34,99,108,101,97,114,102, 105,120,34,62,47,100,105,118,62,13,10,60,47,100,105,118,62,13,10,13,10,116,104, 114,101,101,45,100,105,109,101,110,115,105,111,110,97,108,67,104,117,114,99,104, 32,111,102,32,69,110,103,108,97,110,100,111,102,32,78,111,114,116,104,32,67,97, 114,111,108,105,110,97,115,113,117,97,114,101,32,107,105,108,111,109,101,116,114 ,101,115,46,97,100,100,69,118,101,110,116,76,105,115,116,101,110,101,114,100,105 ,115,116,105,110,99,116,32,102,114,111,109,32,116,104,101,99,111,109,109,111,110 ,108,121,32,107,110,111,119,110,32,97,115,80,104,111,110,101,116,105,99,32,65, 108,112,104,97,98,101,116,100,101,99,108,97,114,101,100,32,116,104,97,116,32,116 ,104,101,99,111,110,116,114,111,108,108,101,100,32,98,121,32,116,104,101,66,101, 110,106,97,109,105,110,32,70,114,97,110,107,108,105,110,114,111,108,101,45,112, 108,97,121,105,110,103,32,103,97,109,101,116,104,101,32,85,110,105,118,101,114, 115,105,116,121,32,111,102,105,110,32,87,101,115,116,101,114,110,32,69,117,114, 111,112,101,112,101,114,115,111,110,97,108,32,99,111,109,112,117,116,101,114,80, 114,111,106,101,99,116,32,71,117,116,101,110,98,101,114,103,114,101,103,97,114, 100,108,101,115,115,32,111,102,32,116,104,101,104,97,115,32,98,101,101,110,32, 112,114,111,112,111,115,101,100,116,111,103,101,116,104,101,114,32,119,105,116, 104,32,116,104,101,62,60,47,108,105,62,60,108,105,32,99,108,97,115,115,61,34,105 ,110,32,115,111,109,101,32,99,111,117,110,116,114,105,101,115,109,105,110,46,106 ,115,34,62,60,47,115,99,114,105,112,116,62,111,102,32,116,104,101,32,112,111,112 ,117,108,97,116,105,111,110,111,102,102,105,99,105,97,108,32,108,97,110,103,117, 97,103,101,60,105,109,103,32,115,114,99,61,34,105,109,97,103,101,115,47,105,100, 101,110,116,105,102,105,101,100,32,98,121,32,116,104,101,110,97,116,117,114,97, 108,32,114,101,115,111,117,114,99,101,115,99,108,97,115,115,105,102,105,99,97, 116,105,111,110,32,111,102,99,97,110,32,98,101,32,99,111,110,115,105,100,101,114 ,101,100,113,117,97,110,116,117,109,32,109,101,99,104,97,110,105,99,115,78,101, 118,101,114,116,104,101,108,101,115,115,44,32,116,104,101,109,105,108,108,105, 111,110,32,121,101,97,114,115,32,97,103,111,60,47,98,111,100,121,62,13,10,60,47, 104,116,109,108,62,13,206,149,206,187,206,187,206,183,206,189,206,185,206,186, 206,172,10,116,97,107,101,32,97,100,118,97,110,116,97,103,101,32,111,102,97,110, 100,44,32,97,99,99,111,114,100,105,110,103,32,116,111,97,116,116,114,105,98,117, 116,101,100,32,116,111,32,116,104,101,77,105,99,114,111,115,111,102,116,32,87, 105,110,100,111,119,115,116,104,101,32,102,105,114,115,116,32,99,101,110,116,117 ,114,121,117,110,100,101,114,32,116,104,101,32,99,111,110,116,114,111,108,100, 105,118,32,99,108,97,115,115,61,34,104,101,97,100,101,114,115,104,111,114,116, 108,121,32,97,102,116,101,114,32,116,104,101,110,111,116,97,98,108,101,32,101, 120,99,101,112,116,105,111,110,116,101,110,115,32,111,102,32,116,104,111,117,115 ,97,110,100,115,115,101,118,101,114,97,108,32,100,105,102,102,101,114,101,110, 116,97,114,111,117,110,100,32,116,104,101,32,119,111,114,108,100,46,114,101,97, 99,104,105,110,103,32,109,105,108,105,116,97,114,121,105,115,111,108,97,116,101, 100,32,102,114,111,109,32,116,104,101,111,112,112,111,115,105,116,105,111,110,32 ,116,111,32,116,104,101,116,104,101,32,79,108,100,32,84,101,115,116,97,109,101, 110,116,65,102,114,105,99,97,110,32,65,109,101,114,105,99,97,110,115,105,110,115 ,101,114,116,101,100,32,105,110,116,111,32,116,104,101,115,101,112,97,114,97,116 ,101,32,102,114,111,109,32,116,104,101,109,101,116,114,111,112,111,108,105,116, 97,110,32,97,114,101,97,109,97,107,101,115,32,105,116,32,112,111,115,115,105,98, 108,101,97,99,107,110,111,119,108,101,100,103,101,100,32,116,104,97,116,97,114, 103,117,97,98,108,121,32,116,104,101,32,109,111,115,116,116,121,112,101,61,34, 116,101,120,116,47,99,115,115,34,62,10,116,104,101,32,73,110,116,101,114,110,97, 116,105,111,110,97,108,65,99,99,111,114,100,105,110,103,32,116,111,32,116,104, 101,32,112,101,61,34,116,101,120,116,47,99,115,115,34,32,47,62,10,99,111,105,110 ,99,105,100,101,32,119,105,116,104,32,116,104,101,116,119,111,45,116,104,105,114 ,100,115,32,111,102,32,116,104,101,68,117,114,105,110,103,32,116,104,105,115,32, 116,105,109,101,44,100,117,114,105,110,103,32,116,104,101,32,112,101,114,105,111 ,100,97,110,110,111,117,110,99,101,100,32,116,104,97,116,32,104,101,116,104,101, 32,105,110,116,101,114,110,97,116,105,111,110,97,108,97,110,100,32,109,111,114, 101,32,114,101,99,101,110,116,108,121,98,101,108,105,101,118,101,100,32,116,104, 97,116,32,116,104,101,99,111,110,115,99,105,111,117,115,110,101,115,115,32,97, 110,100,102,111,114,109,101,114,108,121,32,107,110,111,119,110,32,97,115,115,117 ,114,114,111,117,110,100,101,100,32,98,121,32,116,104,101,102,105,114,115,116,32 ,97,112,112,101,97,114,101,100,32,105,110,111,99,99,97,115,105,111,110,97,108, 108,121,32,117,115,101,100,112,111,115,105,116,105,111,110,58,97,98,115,111,108, 117,116,101,59,34,32,116,97,114,103,101,116,61,34,95,98,108,97,110,107,34,32,112 ,111,115,105,116,105,111,110,58,114,101,108,97,116,105,118,101,59,116,101,120, 116,45,97,108,105,103,110,58,99,101,110,116,101,114,59,106,97,120,47,108,105,98, 115,47,106,113,117,101,114,121,47,49,46,98,97,99,107,103,114,111,117,110,100,45, 99,111,108,111,114,58,35,116,121,112,101,61,34,97,112,112,108,105,99,97,116,105, 111,110,47,97,110,103,117,97,103,101,34,32,99,111,110,116,101,110,116,61,34,60, 109,101,116,97,32,104,116,116,112,45,101,113,117,105,118,61,34,80,114,105,118,97 ,99,121,32,80,111,108,105,99,121,60,47,97,62,101,40,34,37,51,67,115,99,114,105, 112,116,32,115,114,99,61,39,34,32,116,97,114,103,101,116,61,34,95,98,108,97,110, 107,34,62,79,110,32,116,104,101,32,111,116,104,101,114,32,104,97,110,100,44,46, 106,112,103,124,116,104,117,109,98,124,114,105,103,104,116,124,50,60,47,100,105, 118,62,60,100,105,118,32,99,108,97,115,115,61,34,60,100,105,118,32,115,116,121, 108,101,61,34,102,108,111,97,116,58,110,105,110,101,116,101,101,110,116,104,32, 99,101,110,116,117,114,121,60,47,98,111,100,121,62,13,10,60,47,104,116,109,108, 62,13,10,60,105,109,103,32,115,114,99,61,34,104,116,116,112,58,47,47,115,59,116, 101,120,116,45,97,108,105,103,110,58,99,101,110,116,101,114,102,111,110,116,45, 119,101,105,103,104,116,58,32,98,111,108,100,59,32,65,99,99,111,114,100,105,110, 103,32,116,111,32,116,104,101,32,100,105,102,102,101,114,101,110,99,101,32,98, 101,116,119,101,101,110,34,32,102,114,97,109,101,98,111,114,100,101,114,61,34,48 ,34,32,34,32,115,116,121,108,101,61,34,112,111,115,105,116,105,111,110,58,108, 105,110,107,32,104,114,101,102,61,34,104,116,116,112,58,47,47,104,116,109,108,52 ,47,108,111,111,115,101,46,100,116,100,34,62,10,100,117,114,105,110,103,32,116, 104,105,115,32,112,101,114,105,111,100,60,47,116,100,62,60,47,116,114,62,60,47, 116,97,98,108,101,62,99,108,111,115,101,108,121,32,114,101,108,97,116,101,100,32 ,116,111,102,111,114,32,116,104,101,32,102,105,114,115,116,32,116,105,109,101,59 ,102,111,110,116,45,119,101,105,103,104,116,58,98,111,108,100,59,105,110,112,117 ,116,32,116,121,112,101,61,34,116,101,120,116,34,32,60,115,112,97,110,32,115,116 ,121,108,101,61,34,102,111,110,116,45,111,110,114,101,97,100,121,115,116,97,116, 101,99,104,97,110,103,101,9,60,100,105,118,32,99,108,97,115,115,61,34,99,108,101 ,97,114,100,111,99,117,109,101,110,116,46,108,111,99,97,116,105,111,110,46,32,70 ,111,114,32,101,120,97,109,112,108,101,44,32,116,104,101,32,97,32,119,105,100, 101,32,118,97,114,105,101,116,121,32,111,102,32,60,33,68,79,67,84,89,80,69,32, 104,116,109,108,62,13,10,60,38,110,98,115,112,59,38,110,98,115,112,59,38,110,98, 115,112,59,34,62,60,97,32,104,114,101,102,61,34,104,116,116,112,58,47,47,115,116 ,121,108,101,61,34,102,108,111,97,116,58,108,101,102,116,59,99,111,110,99,101, 114,110,101,100,32,119,105,116,104,32,116,104,101,61,104,116,116,112,37,51,65,37 ,50,70,37,50,70,119,119,119,46,105,110,32,112,111,112,117,108,97,114,32,99,117, 108,116,117,114,101,116,121,112,101,61,34,116,101,120,116,47,99,115,115,34,32,47 ,62,105,116,32,105,115,32,112,111,115,115,105,98,108,101,32,116,111,32,72,97,114 ,118,97,114,100,32,85,110,105,118,101,114,115,105,116,121,116,121,108,101,115, 104,101,101,116,34,32,104,114,101,102,61,34,47,116,104,101,32,109,97,105,110,32, 99,104,97,114,97,99,116,101,114,79,120,102,111,114,100,32,85,110,105,118,101,114 ,115,105,116,121,32,32,110,97,109,101,61,34,107,101,121,119,111,114,100,115,34, 32,99,115,116,121,108,101,61,34,116,101,120,116,45,97,108,105,103,110,58,116,104 ,101,32,85,110,105,116,101,100,32,75,105,110,103,100,111,109,102,101,100,101,114 ,97,108,32,103,111,118,101,114,110,109,101,110,116,60,100,105,118,32,115,116,121 ,108,101,61,34,109,97,114,103,105,110,32,100,101,112,101,110,100,105,110,103,32, 111,110,32,116,104,101,32,100,101,115,99,114,105,112,116,105,111,110,32,111,102, 32,116,104,101,60,100,105,118,32,99,108,97,115,115,61,34,104,101,97,100,101,114, 46,109,105,110,46,106,115,34,62,60,47,115,99,114,105,112,116,62,100,101,115,116, 114,117,99,116,105,111,110,32,111,102,32,116,104,101,115,108,105,103,104,116,108 ,121,32,100,105,102,102,101,114,101,110,116,105,110,32,97,99,99,111,114,100,97, 110,99,101,32,119,105,116,104,116,101,108,101,99,111,109,109,117,110,105,99,97, 116,105,111,110,115,105,110,100,105,99,97,116,101,115,32,116,104,97,116,32,116, 104,101,115,104,111,114,116,108,121,32,116,104,101,114,101,97,102,116,101,114, 101,115,112,101,99,105,97,108,108,121,32,105,110,32,116,104,101,32,69,117,114, 111,112,101,97,110,32,99,111,117,110,116,114,105,101,115,72,111,119,101,118,101, 114,44,32,116,104,101,114,101,32,97,114,101,115,114,99,61,34,104,116,116,112,58, 47,47,115,116,97,116,105,99,115,117,103,103,101,115,116,101,100,32,116,104,97, 116,32,116,104,101,34,32,115,114,99,61,34,104,116,116,112,58,47,47,119,119,119, 46,97,32,108,97,114,103,101,32,110,117,109,98,101,114,32,111,102,32,84,101,108, 101,99,111,109,109,117,110,105,99,97,116,105,111,110,115,34,32,114,101,108,61,34 ,110,111,102,111,108,108,111,119,34,32,116,72,111,108,121,32,82,111,109,97,110, 32,69,109,112,101,114,111,114,97,108,109,111,115,116,32,101,120,99,108,117,115, 105,118,101,108,121,34,32,98,111,114,100,101,114,61,34,48,34,32,97,108,116,61,34 ,83,101,99,114,101,116,97,114,121,32,111,102,32,83,116,97,116,101,99,117,108,109 ,105,110,97,116,105,110,103,32,105,110,32,116,104,101,67,73,65,32,87,111,114,108 ,100,32,70,97,99,116,98,111,111,107,116,104,101,32,109,111,115,116,32,105,109, 112,111,114,116,97,110,116,97,110,110,105,118,101,114,115,97,114,121,32,111,102, 32,116,104,101,115,116,121,108,101,61,34,98,97,99,107,103,114,111,117,110,100,45 ,60,108,105,62,60,101,109,62,60,97,32,104,114,101,102,61,34,47,116,104,101,32,65 ,116,108,97,110,116,105,99,32,79,99,101,97,110,115,116,114,105,99,116,108,121,32 ,115,112,101,97,107,105,110,103,44,115,104,111,114,116,108,121,32,98,101,102,111 ,114,101,32,116,104,101,100,105,102,102,101,114,101,110,116,32,116,121,112,101, 115,32,111,102,116,104,101,32,79,116,116,111,109,97,110,32,69,109,112,105,114, 101,62,60,105,109,103,32,115,114,99,61,34,104,116,116,112,58,47,47,65,110,32,73, 110,116,114,111,100,117,99,116,105,111,110,32,116,111,99,111,110,115,101,113,117 ,101,110,99,101,32,111,102,32,116,104,101,100,101,112,97,114,116,117,114,101,32, 102,114,111,109,32,116,104,101,67,111,110,102,101,100,101,114,97,116,101,32,83, 116,97,116,101,115,105,110,100,105,103,101,110,111,117,115,32,112,101,111,112, 108,101,115,80,114,111,99,101,101,100,105,110,103,115,32,111,102,32,116,104,101, 105,110,102,111,114,109,97,116,105,111,110,32,111,110,32,116,104,101,116,104,101 ,111,114,105,101,115,32,104,97,118,101,32,98,101,101,110,105,110,118,111,108,118 ,101,109,101,110,116,32,105,110,32,116,104,101,100,105,118,105,100,101,100,32, 105,110,116,111,32,116,104,114,101,101,97,100,106,97,99,101,110,116,32,99,111, 117,110,116,114,105,101,115,105,115,32,114,101,115,112,111,110,115,105,98,108, 101,32,102,111,114,100,105,115,115,111,108,117,116,105,111,110,32,111,102,32,116 ,104,101,99,111,108,108,97,98,111,114,97,116,105,111,110,32,119,105,116,104,119, 105,100,101,108,121,32,114,101,103,97,114,100,101,100,32,97,115,104,105,115,32, 99,111,110,116,101,109,112,111,114,97,114,105,101,115,102,111,117,110,100,105, 110,103,32,109,101,109,98,101,114,32,111,102,68,111,109,105,110,105,99,97,110,32 ,82,101,112,117,98,108,105,99,103,101,110,101,114,97,108,108,121,32,97,99,99,101 ,112,116,101,100,116,104,101,32,112,111,115,115,105,98,105,108,105,116,121,32, 111,102,97,114,101,32,97,108,115,111,32,97,118,97,105,108,97,98,108,101,117,110, 100,101,114,32,99,111,110,115,116,114,117,99,116,105,111,110,114,101,115,116,111 ,114,97,116,105,111,110,32,111,102,32,116,104,101,116,104,101,32,103,101,110,101 ,114,97,108,32,112,117,98,108,105,99,105,115,32,97,108,109,111,115,116,32,101, 110,116,105,114,101,108,121,112,97,115,115,101,115,32,116,104,114,111,117,103, 104,32,116,104,101,104,97,115,32,98,101,101,110,32,115,117,103,103,101,115,116, 101,100,99,111,109,112,117,116,101,114,32,97,110,100,32,118,105,100,101,111,71, 101,114,109,97,110,105,99,32,108,97,110,103,117,97,103,101,115,32,97,99,99,111, 114,100,105,110,103,32,116,111,32,116,104,101,32,100,105,102,102,101,114,101,110 ,116,32,102,114,111,109,32,116,104,101,115,104,111,114,116,108,121,32,97,102,116 ,101,114,119,97,114,100,115,104,114,101,102,61,34,104,116,116,112,115,58,47,47, 119,119,119,46,114,101,99,101,110,116,32,100,101,118,101,108,111,112,109,101,110 ,116,66,111,97,114,100,32,111,102,32,68,105,114,101,99,116,111,114,115,60,100, 105,118,32,99,108,97,115,115,61,34,115,101,97,114,99,104,124,32,60,97,32,104,114 ,101,102,61,34,104,116,116,112,58,47,47,73,110,32,112,97,114,116,105,99,117,108, 97,114,44,32,116,104,101,77,117,108,116,105,112,108,101,32,102,111,111,116,110, 111,116,101,115,111,114,32,111,116,104,101,114,32,115,117,98,115,116,97,110,99, 101,116,104,111,117,115,97,110,100,115,32,111,102,32,121,101,97,114,115,116,114, 97,110,115,108,97,116,105,111,110,32,111,102,32,116,104,101,60,47,100,105,118,62 ,13,10,60,47,100,105,118,62,13,10,13,10,60,97,32,104,114,101,102,61,34,105,110, 100,101,120,46,112,104,112,119,97,115,32,101,115,116,97,98,108,105,115,104,101, 100,32,105,110,109,105,110,46,106,115,34,62,60,47,115,99,114,105,112,116,62,10, 112,97,114,116,105,99,105,112,97,116,101,32,105,110,32,116,104,101,97,32,115,116 ,114,111,110,103,32,105,110,102,108,117,101,110,99,101,115,116,121,108,101,61,34 ,109,97,114,103,105,110,45,116,111,112,58,114,101,112,114,101,115,101,110,116, 101,100,32,98,121,32,116,104,101,103,114,97,100,117,97,116,101,100,32,102,114, 111,109,32,116,104,101,84,114,97,100,105,116,105,111,110,97,108,108,121,44,32, 116,104,101,69,108,101,109,101,110,116,40,34,115,99,114,105,112,116,34,41,59,72, 111,119,101,118,101,114,44,32,115,105,110,99,101,32,116,104,101,47,100,105,118, 62,10,60,47,100,105,118,62,10,60,100,105,118,32,108,101,102,116,59,32,109,97,114 ,103,105,110,45,108,101,102,116,58,112,114,111,116,101,99,116,105,111,110,32,97, 103,97,105,110,115,116,48,59,32,118,101,114,116,105,99,97,108,45,97,108,105,103, 110,58,85,110,102,111,114,116,117,110,97,116,101,108,121,44,32,116,104,101,116, 121,112,101,61,34,105,109,97,103,101,47,120,45,105,99,111,110,47,100,105,118,62, 10,60,100,105,118,32,99,108,97,115,115,61,34,32,99,108,97,115,115,61,34,99,108, 101,97,114,102,105,120,34,62,60,100,105,118,32,99,108,97,115,115,61,34,102,111, 111,116,101,114,9,9,60,47,100,105,118,62,10,9,9,60,47,100,105,118,62,10,116,104, 101,32,109,111,116,105,111,110,32,112,105,99,116,117,114,101,208,145,209,138,208 ,187,208,179,208,176,209,128,209,129,208,186,208,184,208,177,209,138,208,187,208 ,179,208,176,209,128,209,129,208,186,208,184,208,164,208,181,208,180,208,181,209 ,128,208,176,209,134,208,184,208,184,208,189,208,181,209,129,208,186,208,190,208 ,187,209,140,208,186,208,190,209,129,208,190,208,190,208,177,209,137,208,181,208 ,189,208,184,208,181,209,129,208,190,208,190,208,177,209,137,208,181,208,189,208 ,184,209,143,208,191,209,128,208,190,208,179,209,128,208,176,208,188,208,188,209 ,139,208,158,209,130,208,191,209,128,208,176,208,178,208,184,209,130,209,140,208 ,177,208,181,209,129,208,191,208,187,208,176,209,130,208,189,208,190,208,188,208 ,176,209,130,208,181,209,128,208,184,208,176,208,187,209,139,208,191,208,190,208 ,183,208,178,208,190,208,187,209,143,208,181,209,130,208,191,208,190,209,129,208 ,187,208,181,208,180,208,189,208,184,208,181,209,128,208,176,208,183,208,187,208 ,184,209,135,208,189,209,139,209,133,208,191,209,128,208,190,208,180,209,131,208 ,186,209,134,208,184,208,184,208,191,209,128,208,190,208,179,209,128,208,176,208 ,188,208,188,208,176,208,191,208,190,208,187,208,189,208,190,209,129,209,130,209 ,140,209,142,208,189,208,176,209,133,208,190,208,180,208,184,209,130,209,129,209 ,143,208,184,208,183,208,177,209,128,208,176,208,189,208,189,208,190,208,181,208 ,189,208,176,209,129,208,181,208,187,208,181,208,189,208,184,209,143,208,184,208 ,183,208,188,208,181,208,189,208,181,208,189,208,184,209,143,208,186,208,176,209 ,130,208,181,208,179,208,190,209,128,208,184,208,184,208,144,208,187,208,181,208 ,186,209,129,208,176,208,189,208,180,209,128,224,164,166,224,165,141,224,164,181 ,224,164,190,224,164,176,224,164,190,224,164,174,224,165,136,224,164,168,224,165 ,129,224,164,133,224,164,178,224,164,170,224,165,141,224,164,176,224,164,166,224 ,164,190,224,164,168,224,164,173,224,164,190,224,164,176,224,164,164,224,165,128 ,224,164,175,224,164,133,224,164,168,224,165,129,224,164,166,224,165,135,224,164 ,182,224,164,185,224,164,191,224,164,168,224,165,141,224,164,166,224,165,128,224 ,164,135,224,164,130,224,164,161,224,164,191,224,164,175,224,164,190,224,164,166 ,224,164,191,224,164,178,224,165,141,224,164,178,224,165,128,224,164,133,224,164 ,167,224,164,191,224,164,149,224,164,190,224,164,176,224,164,181,224,165,128,224 ,164,161,224,164,191,224,164,175,224,165,139,224,164,154,224,164,191,224,164,159 ,224,165,141,224,164,160,224,165,135,224,164,184,224,164,174,224,164,190,224,164 ,154,224,164,190,224,164,176,224,164,156,224,164,130,224,164,149,224,165,141,224 ,164,182,224,164,168,224,164,166,224,165,129,224,164,168,224,164,191,224,164,175 ,224,164,190,224,164,170,224,165,141,224,164,176,224,164,175,224,165,139,224,164 ,151,224,164,133,224,164,168,224,165,129,224,164,184,224,164,190,224,164,176,224 ,164,145,224,164,168,224,164,178,224,164,190,224,164,135,224,164,168,224,164,170 ,224,164,190,224,164,176,224,165,141,224,164,159,224,165,128,224,164,182,224,164 ,176,224,165,141,224,164,164,224,165,139,224,164,130,224,164,178,224,165,139,224 ,164,149,224,164,184,224,164,173,224,164,190,224,164,171,224,164,188,224,165,141 ,224,164,178,224,165,136,224,164,182,224,164,182,224,164,176,224,165,141,224,164 ,164,224,165,135,224,164,130,224,164,170,224,165,141,224,164,176,224,164,166,224 ,165,135,224,164,182,224,164,170,224,165,141,224,164,178,224,165,135,224,164,175 ,224,164,176,224,164,149,224,165,135,224,164,130,224,164,166,224,165,141,224,164 ,176,224,164,184,224,165,141,224,164,165,224,164,191,224,164,164,224,164,191,224 ,164,137,224,164,164,224,165,141,224,164,170,224,164,190,224,164,166,224,164,137 ,224,164,168,224,165,141,224,164,185,224,165,135,224,164,130,224,164,154,224,164 ,191,224,164,159,224,165,141,224,164,160,224,164,190,224,164,175,224,164,190,224 ,164,164,224,165,141,224,164,176,224,164,190,224,164,156,224,165,141,224,164,175 ,224,164,190,224,164,166,224,164,190,224,164,170,224,165,129,224,164,176,224,164 ,190,224,164,168,224,165,135,224,164,156,224,165,139,224,164,161,224,164,188,224 ,165,135,224,164,130,224,164,133,224,164,168,224,165,129,224,164,181,224,164,190 ,224,164,166,224,164,182,224,165,141,224,164,176,224,165,135,224,164,163,224,165 ,128,224,164,182,224,164,191,224,164,149,224,165,141,224,164,183,224,164,190,224 ,164,184,224,164,176,224,164,149,224,164,190,224,164,176,224,165,128,224,164,184 ,224,164,130,224,164,151,224,165,141,224,164,176,224,164,185,224,164,170,224,164 ,176,224,164,191,224,164,163,224,164,190,224,164,174,224,164,172,224,165,141,224 ,164,176,224,164,190,224,164,130,224,164,161,224,164,172,224,164,154,224,165,141 ,224,164,154,224,165,139,224,164,130,224,164,137,224,164,170,224,164,178,224,164 ,172,224,165,141,224,164,167,224,164,174,224,164,130,224,164,164,224,165,141,224 ,164,176,224,165,128,224,164,184,224,164,130,224,164,170,224,164,176,224,165,141 ,224,164,149,224,164,137,224,164,174,224,165,141,224,164,174,224,165,128,224,164 ,166,224,164,174,224,164,190,224,164,167,224,165,141,224,164,175,224,164,174,224 ,164,184,224,164,185,224,164,190,224,164,175,224,164,164,224,164,190,224,164,182 ,224,164,172,224,165,141,224,164,166,224,165,139,224,164,130,224,164,174,224,165 ,128,224,164,161,224,164,191,224,164,175,224,164,190,224,164,134,224,164,136,224 ,164,170,224,165,128,224,164,143,224,164,178,224,164,174,224,165,139,224,164,172 ,224,164,190,224,164,135,224,164,178,224,164,184,224,164,130,224,164,150,224,165 ,141,224,164,175,224,164,190,224,164,134,224,164,170,224,164,176,224,165,135,224 ,164,182,224,164,168,224,164,133,224,164,168,224,165,129,224,164,172,224,164,130 ,224,164,167,224,164,172,224,164,190,224,164,156,224,164,188,224,164,190,224,164 ,176,224,164,168,224,164,181,224,165,128,224,164,168,224,164,164,224,164,174,224 ,164,170,224,165,141,224,164,176,224,164,174,224,165,129,224,164,150,224,164,170 ,224,165,141,224,164,176,224,164,182,224,165,141,224,164,168,224,164,170,224,164 ,176,224,164,191,224,164,181,224,164,190,224,164,176,224,164,168,224,165,129,224 ,164,149,224,164,184,224,164,190,224,164,168,224,164,184,224,164,174,224,164,176 ,224,165,141,224,164,165,224,164,168,224,164,134,224,164,175,224,165,139,224,164 ,156,224,164,191,224,164,164,224,164,184,224,165,139,224,164,174,224,164,181,224 ,164,190,224,164,176,216,167,217,132,217,133,216,180,216,167,216,177,217,131,216 ,167,216,170,216,167,217,132,217,133,217,134,216,170,216,175,217,138,216,167,216 ,170,216,167,217,132,217,131,217,133,216,168,217,138,217,136,216,170,216,177,216 ,167,217,132,217,133,216,180,216,167,217,135,216,175,216,167,216,170,216,185,216 ,175,216,175,216,167,217,132,216,178,217,136,216,167,216,177,216,185,216,175,216 ,175,216,167,217,132,216,177,216,175,217,136,216,175,216,167,217,132,216,165,216 ,179,217,132,216,167,217,133,217,138,216,169,216,167,217,132,217,129,217,136,216 ,170,217,136,216,180,217,136,216,168,216,167,217,132,217,133,216,179,216,167,216 ,168,217,130,216,167,216,170,216,167,217,132,217,133,216,185,217,132,217,136,217 ,133,216,167,216,170,216,167,217,132,217,133,216,179,217,132,216,179,217,132,216 ,167,216,170,216,167,217,132,216,172,216,177,216,167,217,129,217,138,217,131,216 ,179,216,167,217,132,216,167,216,179,217,132,216,167,217,133,217,138,216,169,216 ,167,217,132,216,167,216,170,216,181,216,167,217,132,216,167,216,170,107,101,121 ,119,111,114,100,115,34,32,99,111,110,116,101,110,116,61,34,119,51,46,111,114, 103,47,49,57,57,57,47,120,104,116,109,108,34,62,60,97,32,116,97,114,103,101,116, 61,34,95,98,108,97,110,107,34,32,116,101,120,116,47,104,116,109,108,59,32,99,104 ,97,114,115,101,116,61,34,32,116,97,114,103,101,116,61,34,95,98,108,97,110,107, 34,62,60,116,97,98,108,101,32,99,101,108,108,112,97,100,100,105,110,103,61,34,97 ,117,116,111,99,111,109,112,108,101,116,101,61,34,111,102,102,34,32,116,101,120, 116,45,97,108,105,103,110,58,32,99,101,110,116,101,114,59,116,111,32,108,97,115, 116,32,118,101,114,115,105,111,110,32,98,121,32,98,97,99,107,103,114,111,117,110 ,100,45,99,111,108,111,114,58,32,35,34,32,104,114,101,102,61,34,104,116,116,112, 58,47,47,119,119,119,46,47,100,105,118,62,60,47,100,105,118,62,60,100,105,118,32 ,105,100,61,60,97,32,104,114,101,102,61,34,35,34,32,99,108,97,115,115,61,34,34, 62,60,105,109,103,32,115,114,99,61,34,104,116,116,112,58,47,47,99,114,105,112, 116,34,32,115,114,99,61,34,104,116,116,112,58,47,47,10,60,115,99,114,105,112,116 ,32,108,97,110,103,117,97,103,101,61,34,47,47,69,78,34,32,34,104,116,116,112,58, 47,47,119,119,119,46,119,101,110,99,111,100,101,85,82,73,67,111,109,112,111,110, 101,110,116,40,34,32,104,114,101,102,61,34,106,97,118,97,115,99,114,105,112,116, 58,60,100,105,118,32,99,108,97,115,115,61,34,99,111,110,116,101,110,116,100,111, 99,117,109,101,110,116,46,119,114,105,116,101,40,39,60,115,99,112,111,115,105, 116,105,111,110,58,32,97,98,115,111,108,117,116,101,59,115,99,114,105,112,116,32 ,115,114,99,61,34,104,116,116,112,58,47,47,32,115,116,121,108,101,61,34,109,97, 114,103,105,110,45,116,111,112,58,46,109,105,110,46,106,115,34,62,60,47,115,99, 114,105,112,116,62,10,60,47,100,105,118,62,10,60,100,105,118,32,99,108,97,115, 115,61,34,119,51,46,111,114,103,47,49,57,57,57,47,120,104,116,109,108,34,32,10, 13,10,60,47,98,111,100,121,62,13,10,60,47,104,116,109,108,62,100,105,115,116,105 ,110,99,116,105,111,110,32,98,101,116,119,101,101,110,47,34,32,116,97,114,103, 101,116,61,34,95,98,108,97,110,107,34,62,60,108,105,110,107,32,104,114,101,102, 61,34,104,116,116,112,58,47,47,101,110,99,111,100,105,110,103,61,34,117,116,102, 45,56,34,63,62,10,119,46,97,100,100,69,118,101,110,116,76,105,115,116,101,110, 101,114,63,97,99,116,105,111,110,61,34,104,116,116,112,58,47,47,119,119,119,46, 105,99,111,110,34,32,104,114,101,102,61,34,104,116,116,112,58,47,47,32,115,116, 121,108,101,61,34,98,97,99,107,103,114,111,117,110,100,58,116,121,112,101,61,34, 116,101,120,116,47,99,115,115,34,32,47,62,10,109,101,116,97,32,112,114,111,112, 101,114,116,121,61,34,111,103,58,116,60,105,110,112,117,116,32,116,121,112,101, 61,34,116,101,120,116,34,32,32,115,116,121,108,101,61,34,116,101,120,116,45,97, 108,105,103,110,58,116,104,101,32,100,101,118,101,108,111,112,109,101,110,116,32 ,111,102,32,116,121,108,101,115,104,101,101,116,34,32,116,121,112,101,61,34,116, 101,104,116,109,108,59,32,99,104,97,114,115,101,116,61,117,116,102,45,56,105,115 ,32,99,111,110,115,105,100,101,114,101,100,32,116,111,32,98,101,116,97,98,108, 101,32,119,105,100,116,104,61,34,49,48,48,37,34,32,73,110,32,97,100,100,105,116, 105,111,110,32,116,111,32,116,104,101,32,99,111,110,116,114,105,98,117,116,101, 100,32,116,111,32,116,104,101,32,100,105,102,102,101,114,101,110,99,101,115,32, 98,101,116,119,101,101,110,100,101,118,101,108,111,112,109,101,110,116,32,111, 102,32,116,104,101,32,73,116,32,105,115,32,105,109,112,111,114,116,97,110,116,32 ,116,111,32,60,47,115,99,114,105,112,116,62,10,10,60,115,99,114,105,112,116,32, 32,115,116,121,108,101,61,34,102,111,110,116,45,115,105,122,101,58,49,62,60,47, 115,112,97,110,62,60,115,112,97,110,32,105,100,61,103,98,76,105,98,114,97,114, 121,32,111,102,32,67,111,110,103,114,101,115,115,60,105,109,103,32,115,114,99,61 ,34,104,116,116,112,58,47,47,105,109,69,110,103,108,105,115,104,32,116,114,97, 110,115,108,97,116,105,111,110,65,99,97,100,101,109,121,32,111,102,32,83,99,105, 101,110,99,101,115,100,105,118,32,115,116,121,108,101,61,34,100,105,115,112,108, 97,121,58,99,111,110,115,116,114,117,99,116,105,111,110,32,111,102,32,116,104, 101,46,103,101,116,69,108,101,109,101,110,116,66,121,73,100,40,105,100,41,105, 110,32,99,111,110,106,117,110,99,116,105,111,110,32,119,105,116,104,69,108,101, 109,101,110,116,40,39,115,99,114,105,112,116,39,41,59,32,60,109,101,116,97,32, 112,114,111,112,101,114,116,121,61,34,111,103,58,208,145,209,138,208,187,208,179 ,208,176,209,128,209,129,208,186,208,184,10,32,116,121,112,101,61,34,116,101,120 ,116,34,32,110,97,109,101,61,34,62,80,114,105,118,97,99,121,32,80,111,108,105,99 ,121,60,47,97,62,97,100,109,105,110,105,115,116,101,114,101,100,32,98,121,32,116 ,104,101,101,110,97,98,108,101,83,105,110,103,108,101,82,101,113,117,101,115,116 ,115,116,121,108,101,61,38,113,117,111,116,59,109,97,114,103,105,110,58,60,47, 100,105,118,62,60,47,100,105,118,62,60,47,100,105,118,62,60,62,60,105,109,103,32 ,115,114,99,61,34,104,116,116,112,58,47,47,105,32,115,116,121,108,101,61,38,113, 117,111,116,59,102,108,111,97,116,58,114,101,102,101,114,114,101,100,32,116,111, 32,97,115,32,116,104,101,32,116,111,116,97,108,32,112,111,112,117,108,97,116,105 ,111,110,32,111,102,105,110,32,87,97,115,104,105,110,103,116,111,110,44,32,68,46 ,67,46,32,115,116,121,108,101,61,34,98,97,99,107,103,114,111,117,110,100,45,97, 109,111,110,103,32,111,116,104,101,114,32,116,104,105,110,103,115,44,111,114,103 ,97,110,105,122,97,116,105,111,110,32,111,102,32,116,104,101,112,97,114,116,105, 99,105,112,97,116,101,100,32,105,110,32,116,104,101,116,104,101,32,105,110,116, 114,111,100,117,99,116,105,111,110,32,111,102,105,100,101,110,116,105,102,105, 101,100,32,119,105,116,104,32,116,104,101,102,105,99,116,105,111,110,97,108,32, 99,104,97,114,97,99,116,101,114,32,79,120,102,111,114,100,32,85,110,105,118,101, 114,115,105,116,121,32,109,105,115,117,110,100,101,114,115,116,97,110,100,105, 110,103,32,111,102,84,104,101,114,101,32,97,114,101,44,32,104,111,119,101,118, 101,114,44,115,116,121,108,101,115,104,101,101,116,34,32,104,114,101,102,61,34, 47,67,111,108,117,109,98,105,97,32,85,110,105,118,101,114,115,105,116,121,101, 120,112,97,110,100,101,100,32,116,111,32,105,110,99,108,117,100,101,117,115,117, 97,108,108,121,32,114,101,102,101,114,114,101,100,32,116,111,105,110,100,105,99, 97,116,105,110,103,32,116,104,97,116,32,116,104,101,104,97,118,101,32,115,117, 103,103,101,115,116,101,100,32,116,104,97,116,97,102,102,105,108,105,97,116,101, 100,32,119,105,116,104,32,116,104,101,99,111,114,114,101,108,97,116,105,111,110, 32,98,101,116,119,101,101,110,110,117,109,98,101,114,32,111,102,32,100,105,102, 102,101,114,101,110,116,62,60,47,116,100,62,60,47,116,114,62,60,47,116,97,98,108 ,101,62,82,101,112,117,98,108,105,99,32,111,102,32,73,114,101,108,97,110,100,10, 60,47,115,99,114,105,112,116,62,10,60,115,99,114,105,112,116,32,117,110,100,101, 114,32,116,104,101,32,105,110,102,108,117,101,110,99,101,99,111,110,116,114,105, 98,117,116,105,111,110,32,116,111,32,116,104,101,79,102,102,105,99,105,97,108,32 ,119,101,98,115,105,116,101,32,111,102,104,101,97,100,113,117,97,114,116,101,114 ,115,32,111,102,32,116,104,101,99,101,110,116,101,114,101,100,32,97,114,111,117, 110,100,32,116,104,101,105,109,112,108,105,99,97,116,105,111,110,115,32,111,102, 32,116,104,101,104,97,118,101,32,98,101,101,110,32,100,101,118,101,108,111,112, 101,100,70,101,100,101,114,97,108,32,82,101,112,117,98,108,105,99,32,111,102,98, 101,99,97,109,101,32,105,110,99,114,101,97,115,105,110,103,108,121,99,111,110, 116,105,110,117,97,116,105,111,110,32,111,102,32,116,104,101,78,111,116,101,44, 32,104,111,119,101,118,101,114,44,32,116,104,97,116,115,105,109,105,108,97,114, 32,116,111,32,116,104,97,116,32,111,102,32,99,97,112,97,98,105,108,105,116,105, 101,115,32,111,102,32,116,104,101,97,99,99,111,114,100,97,110,99,101,32,119,105, 116,104,32,116,104,101,112,97,114,116,105,99,105,112,97,110,116,115,32,105,110, 32,116,104,101,102,117,114,116,104,101,114,32,100,101,118,101,108,111,112,109, 101,110,116,117,110,100,101,114,32,116,104,101,32,100,105,114,101,99,116,105,111 ,110,105,115,32,111,102,116,101,110,32,99,111,110,115,105,100,101,114,101,100, 104,105,115,32,121,111,117,110,103,101,114,32,98,114,111,116,104,101,114,60,47, 116,100,62,60,47,116,114,62,60,47,116,97,98,108,101,62,60,97,32,104,116,116,112, 45,101,113,117,105,118,61,34,88,45,85,65,45,112,104,121,115,105,99,97,108,32,112 ,114,111,112,101,114,116,105,101,115,111,102,32,66,114,105,116,105,115,104,32,67 ,111,108,117,109,98,105,97,104,97,115,32,98,101,101,110,32,99,114,105,116,105,99 ,105,122,101,100,40,119,105,116,104,32,116,104,101,32,101,120,99,101,112,116,105 ,111,110,113,117,101,115,116,105,111,110,115,32,97,98,111,117,116,32,116,104,101 ,112,97,115,115,105,110,103,32,116,104,114,111,117,103,104,32,116,104,101,48,34, 32,99,101,108,108,112,97,100,100,105,110,103,61,34,48,34,32,116,104,111,117,115, 97,110,100,115,32,111,102,32,112,101,111,112,108,101,114,101,100,105,114,101,99, 116,115,32,104,101,114,101,46,32,70,111,114,104,97,118,101,32,99,104,105,108,100 ,114,101,110,32,117,110,100,101,114,37,51,69,37,51,67,47,115,99,114,105,112,116, 37,51,69,34,41,41,59,60,97,32,104,114,101,102,61,34,104,116,116,112,58,47,47,119 ,119,119,46,60,108,105,62,60,97,32,104,114,101,102,61,34,104,116,116,112,58,47, 47,115,105,116,101,95,110,97,109,101,34,32,99,111,110,116,101,110,116,61,34,116, 101,120,116,45,100,101,99,111,114,97,116,105,111,110,58,110,111,110,101,115,116, 121,108,101,61,34,100,105,115,112,108,97,121,58,32,110,111,110,101,60,109,101, 116,97,32,104,116,116,112,45,101,113,117,105,118,61,34,88,45,110,101,119,32,68, 97,116,101,40,41,46,103,101,116,84,105,109,101,40,41,32,116,121,112,101,61,34, 105,109,97,103,101,47,120,45,105,99,111,110,34,60,47,115,112,97,110,62,60,115, 112,97,110,32,99,108,97,115,115,61,34,108,97,110,103,117,97,103,101,61,34,106,97 ,118,97,115,99,114,105,112,116,119,105,110,100,111,119,46,108,111,99,97,116,105, 111,110,46,104,114,101,102,60,97,32,104,114,101,102,61,34,106,97,118,97,115,99, 114,105,112,116,58,45,45,62,13,10,60,115,99,114,105,112,116,32,116,121,112,101, 61,34,116,60,97,32,104,114,101,102,61,39,104,116,116,112,58,47,47,119,119,119,46 ,104,111,114,116,99,117,116,32,105,99,111,110,34,32,104,114,101,102,61,34,60,47, 100,105,118,62,13,10,60,100,105,118,32,99,108,97,115,115,61,34,60,115,99,114,105 ,112,116,32,115,114,99,61,34,104,116,116,112,58,47,47,34,32,114,101,108,61,34, 115,116,121,108,101,115,104,101,101,116,34,32,116,60,47,100,105,118,62,10,60,115 ,99,114,105,112,116,32,116,121,112,101,61,47,97,62,32,60,97,32,104,114,101,102, 61,34,104,116,116,112,58,47,47,32,97,108,108,111,119,84,114,97,110,115,112,97, 114,101,110,99,121,61,34,88,45,85,65,45,67,111,109,112,97,116,105,98,108,101,34, 32,99,111,110,114,101,108,97,116,105,111,110,115,104,105,112,32,98,101,116,119, 101,101,110,10,60,47,115,99,114,105,112,116,62,13,10,60,115,99,114,105,112,116, 32,60,47,97,62,60,47,108,105,62,60,47,117,108,62,60,47,100,105,118,62,97,115,115 ,111,99,105,97,116,101,100,32,119,105,116,104,32,116,104,101,32,112,114,111,103, 114,97,109,109,105,110,103,32,108,97,110,103,117,97,103,101,60,47,97,62,60,97,32 ,104,114,101,102,61,34,104,116,116,112,58,47,47,60,47,97,62,60,47,108,105,62,60, 108,105,32,99,108,97,115,115,61,34,102,111,114,109,32,97,99,116,105,111,110,61, 34,104,116,116,112,58,47,47,60,100,105,118,32,115,116,121,108,101,61,34,100,105, 115,112,108,97,121,58,116,121,112,101,61,34,116,101,120,116,34,32,110,97,109,101 ,61,34,113,34,60,116,97,98,108,101,32,119,105,100,116,104,61,34,49,48,48,37,34, 32,98,97,99,107,103,114,111,117,110,100,45,112,111,115,105,116,105,111,110,58,34 ,32,98,111,114,100,101,114,61,34,48,34,32,119,105,100,116,104,61,34,114,101,108, 61,34,115,104,111,114,116,99,117,116,32,105,99,111,110,34,32,104,54,62,60,117, 108,62,60,108,105,62,60,97,32,104,114,101,102,61,34,32,32,60,109,101,116,97,32, 104,116,116,112,45,101,113,117,105,118,61,34,99,115,115,34,32,109,101,100,105,97 ,61,34,115,99,114,101,101,110,34,32,114,101,115,112,111,110,115,105,98,108,101, 32,102,111,114,32,116,104,101,32,34,32,116,121,112,101,61,34,97,112,112,108,105, 99,97,116,105,111,110,47,34,32,115,116,121,108,101,61,34,98,97,99,107,103,114, 111,117,110,100,45,104,116,109,108,59,32,99,104,97,114,115,101,116,61,117,116, 102,45,56,34,32,97,108,108,111,119,116,114,97,110,115,112,97,114,101,110,99,121, 61,34,115,116,121,108,101,115,104,101,101,116,34,32,116,121,112,101,61,34,116, 101,13,10,60,109,101,116,97,32,104,116,116,112,45,101,113,117,105,118,61,34,62, 60,47,115,112,97,110,62,60,115,112,97,110,32,99,108,97,115,115,61,34,48,34,32,99 ,101,108,108,115,112,97,99,105,110,103,61,34,48,34,62,59,10,60,47,115,99,114,105 ,112,116,62,10,60,115,99,114,105,112,116,32,115,111,109,101,116,105,109,101,115, 32,99,97,108,108,101,100,32,116,104,101,100,111,101,115,32,110,111,116,32,110, 101,99,101,115,115,97,114,105,108,121,70,111,114,32,109,111,114,101,32,105,110, 102,111,114,109,97,116,105,111,110,97,116,32,116,104,101,32,98,101,103,105,110, 110,105,110,103,32,111,102,32,60,33,68,79,67,84,89,80,69,32,104,116,109,108,62, 60,104,116,109,108,112,97,114,116,105,99,117,108,97,114,108,121,32,105,110,32, 116,104,101,32,116,121,112,101,61,34,104,105,100,100,101,110,34,32,110,97,109, 101,61,34,106,97,118,97,115,99,114,105,112,116,58,118,111,105,100,40,48,41,59,34 ,101,102,102,101,99,116,105,118,101,110,101,115,115,32,111,102,32,116,104,101,32 ,97,117,116,111,99,111,109,112,108,101,116,101,61,34,111,102,102,34,32,103,101, 110,101,114,97,108,108,121,32,99,111,110,115,105,100,101,114,101,100,62,60,105, 110,112,117,116,32,116,121,112,101,61,34,116,101,120,116,34,32,34,62,60,47,115, 99,114,105,112,116,62,13,10,60,115,99,114,105,112,116,116,104,114,111,117,103, 104,111,117,116,32,116,104,101,32,119,111,114,108,100,99,111,109,109,111,110,32, 109,105,115,99,111,110,99,101,112,116,105,111,110,97,115,115,111,99,105,97,116, 105,111,110,32,119,105,116,104,32,116,104,101,60,47,100,105,118,62,10,60,47,100, 105,118,62,10,60,100,105,118,32,99,100,117,114,105,110,103,32,104,105,115,32,108 ,105,102,101,116,105,109,101,44,99,111,114,114,101,115,112,111,110,100,105,110, 103,32,116,111,32,116,104,101,116,121,112,101,61,34,105,109,97,103,101,47,120,45 ,105,99,111,110,34,32,97,110,32,105,110,99,114,101,97,115,105,110,103,32,110,117 ,109,98,101,114,100,105,112,108,111,109,97,116,105,99,32,114,101,108,97,116,105, 111,110,115,97,114,101,32,111,102,116,101,110,32,99,111,110,115,105,100,101,114, 101,100,109,101,116,97,32,99,104,97,114,115,101,116,61,34,117,116,102,45,56,34, 32,60,105,110,112,117,116,32,116,121,112,101,61,34,116,101,120,116,34,32,101,120 ,97,109,112,108,101,115,32,105,110,99,108,117,100,101,32,116,104,101,34,62,60, 105,109,103,32,115,114,99,61,34,104,116,116,112,58,47,47,105,112,97,114,116,105, 99,105,112,97,116,105,111,110,32,105,110,32,116,104,101,116,104,101,32,101,115, 116,97,98,108,105,115,104,109,101,110,116,32,111,102,10,60,47,100,105,118,62,10, 60,100,105,118,32,99,108,97,115,115,61,34,38,97,109,112,59,110,98,115,112,59,38, 97,109,112,59,110,98,115,112,59,116,111,32,100,101,116,101,114,109,105,110,101, 32,119,104,101,116,104,101,114,113,117,105,116,101,32,100,105,102,102,101,114, 101,110,116,32,102,114,111,109,109,97,114,107,101,100,32,116,104,101,32,98,101, 103,105,110,110,105,110,103,100,105,115,116,97,110,99,101,32,98,101,116,119,101, 101,110,32,116,104,101,99,111,110,116,114,105,98,117,116,105,111,110,115,32,116, 111,32,116,104,101,99,111,110,102,108,105,99,116,32,98,101,116,119,101,101,110, 32,116,104,101,119,105,100,101,108,121,32,99,111,110,115,105,100,101,114,101,100 ,32,116,111,119,97,115,32,111,110,101,32,111,102,32,116,104,101,32,102,105,114, 115,116,119,105,116,104,32,118,97,114,121,105,110,103,32,100,101,103,114,101,101 ,115,104,97,118,101,32,115,112,101,99,117,108,97,116,101,100,32,116,104,97,116, 40,100,111,99,117,109,101,110,116,46,103,101,116,69,108,101,109,101,110,116,112, 97,114,116,105,99,105,112,97,116,105,110,103,32,105,110,32,116,104,101,111,114, 105,103,105,110,97,108,108,121,32,100,101,118,101,108,111,112,101,100,101,116,97 ,32,99,104,97,114,115,101,116,61,34,117,116,102,45,56,34,62,32,116,121,112,101, 61,34,116,101,120,116,47,99,115,115,34,32,47,62,10,105,110,116,101,114,99,104,97 ,110,103,101,97,98,108,121,32,119,105,116,104,109,111,114,101,32,99,108,111,115, 101,108,121,32,114,101,108,97,116,101,100,115,111,99,105,97,108,32,97,110,100,32 ,112,111,108,105,116,105,99,97,108,116,104,97,116,32,119,111,117,108,100,32,111, 116,104,101,114,119,105,115,101,112,101,114,112,101,110,100,105,99,117,108,97, 114,32,116,111,32,116,104,101,115,116,121,108,101,32,116,121,112,101,61,34,116, 101,120,116,47,99,115,115,116,121,112,101,61,34,115,117,98,109,105,116,34,32,110 ,97,109,101,61,34,102,97,109,105,108,105,101,115,32,114,101,115,105,100,105,110, 103,32,105,110,100,101,118,101,108,111,112,105,110,103,32,99,111,117,110,116,114 ,105,101,115,99,111,109,112,117,116,101,114,32,112,114,111,103,114,97,109,109, 105,110,103,101,99,111,110,111,109,105,99,32,100,101,118,101,108,111,112,109,101 ,110,116,100,101,116,101,114,109,105,110,97,116,105,111,110,32,111,102,32,116, 104,101,102,111,114,32,109,111,114,101,32,105,110,102,111,114,109,97,116,105,111 ,110,111,110,32,115,101,118,101,114,97,108,32,111,99,99,97,115,105,111,110,115, 112,111,114,116,117,103,117,195,170,115,32,40,69,117,114,111,112,101,117,41,208, 163,208,186,209,128,208,176,209,151,208,189,209,129,209,140,208,186,208,176,209, 131,208,186,209,128,208,176,209,151,208,189,209,129,209,140,208,186,208,176,208, 160,208,190,209,129,209,129,208,184,208,185,209,129,208,186,208,190,208,185,208, 188,208,176,209,130,208,181,209,128,208,184,208,176,208,187,208,190,208,178,208, 184,208,189,209,132,208,190,209,128,208,188,208,176,209,134,208,184,208,184,209, 131,208,191,209,128,208,176,208,178,208,187,208,181,208,189,208,184,209,143,208, 189,208,181,208,190,208,177,209,133,208,190,208,180,208,184,208,188,208,190,208, 184,208,189,209,132,208,190,209,128,208,188,208,176,209,134,208,184,209,143,208, 152,208,189,209,132,208,190,209,128,208,188,208,176,209,134,208,184,209,143,208, 160,208,181,209,129,208,191,209,131,208,177,208,187,208,184,208,186,208,184,208, 186,208,190,208,187,208,184,209,135,208,181,209,129,209,130,208,178,208,190,208, 184,208,189,209,132,208,190,209,128,208,188,208,176,209,134,208,184,209,142,209, 130,208,181,209,128,209,128,208,184,209,130,208,190,209,128,208,184,208,184,208, 180,208,190,209,129,209,130,208,176,209,130,208,190,209,135,208,189,208,190,216, 167,217,132,217,133,216,170,217,136,216,167,216,172,216,175,217,136,217,134,216, 167,217,132,216,167,216,180,216,170,216,177,216,167,217,131,216,167,216,170,216, 167,217,132,216,167,217,130,216,170,216,177,216,167,216,173,216,167,216,170,104, 116,109,108,59,32,99,104,97,114,115,101,116,61,85,84,70,45,56,34,32,115,101,116, 84,105,109,101,111,117,116,40,102,117,110,99,116,105,111,110,40,41,100,105,115, 112,108,97,121,58,105,110,108,105,110,101,45,98,108,111,99,107,59,60,105,110,112 ,117,116,32,116,121,112,101,61,34,115,117,98,109,105,116,34,32,116,121,112,101, 32,61,32,39,116,101,120,116,47,106,97,118,97,115,99,114,105,60,105,109,103,32, 115,114,99,61,34,104,116,116,112,58,47,47,119,119,119,46,34,32,34,104,116,116, 112,58,47,47,119,119,119,46,119,51,46,111,114,103,47,115,104,111,114,116,99,117, 116,32,105,99,111,110,34,32,104,114,101,102,61,34,34,32,97,117,116,111,99,111, 109,112,108,101,116,101,61,34,111,102,102,34,32,60,47,97,62,60,47,100,105,118,62 ,60,100,105,118,32,99,108,97,115,115,61,60,47,97,62,60,47,108,105,62,10,60,108, 105,32,99,108,97,115,115,61,34,99,115,115,34,32,116,121,112,101,61,34,116,101, 120,116,47,99,115,115,34,32,60,102,111,114,109,32,97,99,116,105,111,110,61,34, 104,116,116,112,58,47,47,120,116,47,99,115,115,34,32,104,114,101,102,61,34,104, 116,116,112,58,47,47,108,105,110,107,32,114,101,108,61,34,97,108,116,101,114,110 ,97,116,101,34,32,13,10,60,115,99,114,105,112,116,32,116,121,112,101,61,34,116, 101,120,116,47,32,111,110,99,108,105,99,107,61,34,106,97,118,97,115,99,114,105, 112,116,58,40,110,101,119,32,68,97,116,101,41,46,103,101,116,84,105,109,101,40, 41,125,104,101,105,103,104,116,61,34,49,34,32,119,105,100,116,104,61,34,49,34,32 ,80,101,111,112,108,101,39,115,32,82,101,112,117,98,108,105,99,32,111,102,32,32, 60,97,32,104,114,101,102,61,34,104,116,116,112,58,47,47,119,119,119,46,116,101, 120,116,45,100,101,99,111,114,97,116,105,111,110,58,117,110,100,101,114,116,104, 101,32,98,101,103,105,110,110,105,110,103,32,111,102,32,116,104,101,32,60,47,100 ,105,118,62,10,60,47,100,105,118,62,10,60,47,100,105,118,62,10,101,115,116,97,98 ,108,105,115,104,109,101,110,116,32,111,102,32,116,104,101,32,60,47,100,105,118, 62,60,47,100,105,118,62,60,47,100,105,118,62,60,47,100,35,118,105,101,119,112, 111,114,116,123,109,105,110,45,104,101,105,103,104,116,58,10,60,115,99,114,105, 112,116,32,115,114,99,61,34,104,116,116,112,58,47,47,111,112,116,105,111,110,62, 60,111,112,116,105,111,110,32,118,97,108,117,101,61,111,102,116,101,110,32,114, 101,102,101,114,114,101,100,32,116,111,32,97,115,32,47,111,112,116,105,111,110, 62,10,60,111,112,116,105,111,110,32,118,97,108,117,60,33,68,79,67,84,89,80,69,32 ,104,116,109,108,62,10,60,33,45,45,91,73,110,116,101,114,110,97,116,105,111,110, 97,108,32,65,105,114,112,111,114,116,62,10,60,97,32,104,114,101,102,61,34,104, 116,116,112,58,47,47,119,119,119,60,47,97,62,60,97,32,104,114,101,102,61,34,104, 116,116,112,58,47,47,119,224,184,160,224,184,178,224,184,169,224,184,178,224,185 ,132,224,184,151,224,184,162,225,131,165,225,131,144,225,131,160,225,131,151,225 ,131,163,225,131,154,225,131,152,230,173,163,233,171,148,228,184,173,230,150,135 ,32,40,231,185,129,233,171,148,41,224,164,168,224,164,191,224,164,176,224,165, 141,224,164,166,224,165,135,224,164,182,224,164,161,224,164,190,224,164,137,224, 164,168,224,164,178,224,165,139,224,164,161,224,164,149,224,165,141,224,164,183, 224,165,135,224,164,164,224,165,141,224,164,176,224,164,156,224,164,190,224,164, 168,224,164,149,224,164,190,224,164,176,224,165,128,224,164,184,224,164,130,224, 164,172,224,164,130,224,164,167,224,164,191,224,164,164,224,164,184,224,165,141, 224,164,165,224,164,190,224,164,170,224,164,168,224,164,190,224,164,184,224,165, 141,224,164,181,224,165,128,224,164,149,224,164,190,224,164,176,224,164,184,224, 164,130,224,164,184,224,165,141,224,164,149,224,164,176,224,164,163,224,164,184, 224,164,190,224,164,174,224,164,151,224,165,141,224,164,176,224,165,128,224,164, 154,224,164,191,224,164,159,224,165,141,224,164,160,224,165,139,224,164,130,224, 164,181,224,164,191,224,164,156,224,165,141,224,164,158,224,164,190,224,164,168, 224,164,133,224,164,174,224,165,135,224,164,176,224,164,191,224,164,149,224,164, 190,224,164,181,224,164,191,224,164,173,224,164,191,224,164,168,224,165,141,224, 164,168,224,164,151,224,164,190,224,164,161,224,164,191,224,164,175,224,164,190, 224,164,129,224,164,149,224,165,141,224,164,175,224,165,139,224,164,130,224,164, 149,224,164,191,224,164,184,224,165,129,224,164,176,224,164,149,224,165,141,224, 164,183,224,164,190,224,164,170,224,164,185,224,165,129,224,164,129,224,164,154, 224,164,164,224,165,128,224,164,170,224,165,141,224,164,176,224,164,172,224,164, 130,224,164,167,224,164,168,224,164,159,224,164,191,224,164,170,224,165,141,224, 164,170,224,164,163,224,165,128,224,164,149,224,165,141,224,164,176,224,164,191, 224,164,149,224,165,135,224,164,159,224,164,170,224,165,141,224,164,176,224,164, 190,224,164,176,224,164,130,224,164,173,224,164,170,224,165,141,224,164,176,224, 164,190,224,164,170,224,165,141,224,164,164,224,164,174,224,164,190,224,164,178, 224,164,191,224,164,149,224,165,139,224,164,130,224,164,176,224,164,171,224,164, 188,224,165,141,224,164,164,224,164,190,224,164,176,224,164,168,224,164,191,224, 164,176,224,165,141,224,164,174,224,164,190,224,164,163,224,164,178,224,164,191, 224,164,174,224,164,191,224,164,159,224,165,135,224,164,161,100,101,115,99,114, 105,112,116,105,111,110,34,32,99,111,110,116,101,110,116,61,34,100,111,99,117, 109,101,110,116,46,108,111,99,97,116,105,111,110,46,112,114,111,116,46,103,101, 116,69,108,101,109,101,110,116,115,66,121,84,97,103,78,97,109,101,40,60,33,68,79 ,67,84,89,80,69,32,104,116,109,108,62,10,60,104,116,109,108,32,60,109,101,116,97 ,32,99,104,97,114,115,101,116,61,34,117,116,102,45,56,34,62,58,117,114,108,34,32 ,99,111,110,116,101,110,116,61,34,104,116,116,112,58,47,47,46,99,115,115,34,32, 114,101,108,61,34,115,116,121,108,101,115,104,101,101,116,34,115,116,121,108,101 ,32,116,121,112,101,61,34,116,101,120,116,47,99,115,115,34,62,116,121,112,101,61 ,34,116,101,120,116,47,99,115,115,34,32,104,114,101,102,61,34,119,51,46,111,114, 103,47,49,57,57,57,47,120,104,116,109,108,34,32,120,109,108,116,121,112,101,61, 34,116,101,120,116,47,106,97,118,97,115,99,114,105,112,116,34,32,109,101,116,104 ,111,100,61,34,103,101,116,34,32,97,99,116,105,111,110,61,34,108,105,110,107,32, 114,101,108,61,34,115,116,121,108,101,115,104,101,101,116,34,32,32,61,32,100,111 ,99,117,109,101,110,116,46,103,101,116,69,108,101,109,101,110,116,116,121,112, 101,61,34,105,109,97,103,101,47,120,45,105,99,111,110,34,32,47,62,99,101,108,108 ,112,97,100,100,105,110,103,61,34,48,34,32,99,101,108,108,115,112,46,99,115,115, 34,32,116,121,112,101,61,34,116,101,120,116,47,99,115,115,34,32,60,47,97,62,60, 47,108,105,62,60,108,105,62,60,97,32,104,114,101,102,61,34,34,32,119,105,100,116 ,104,61,34,49,34,32,104,101,105,103,104,116,61,34,49,34,34,62,60,97,32,104,114, 101,102,61,34,104,116,116,112,58,47,47,119,119,119,46,115,116,121,108,101,61,34, 100,105,115,112,108,97,121,58,110,111,110,101,59,34,62,97,108,116,101,114,110,97 ,116,101,34,32,116,121,112,101,61,34,97,112,112,108,105,45,47,47,87,51,67,47,47, 68,84,68,32,88,72,84,77,76,32,49,46,48,32,101,108,108,115,112,97,99,105,110,103, 61,34,48,34,32,99,101,108,108,112,97,100,32,116,121,112,101,61,34,104,105,100, 100,101,110,34,32,118,97,108,117,101,61,34,47,97,62,38,110,98,115,112,59,60,115, 112,97,110,32,114,111,108,101,61,34,115,10,60,105,110,112,117,116,32,116,121,112 ,101,61,34,104,105,100,100,101,110,34,32,108,97,110,103,117,97,103,101,61,34,74, 97,118,97,83,99,114,105,112,116,34,32,32,100,111,99,117,109,101,110,116,46,103, 101,116,69,108,101,109,101,110,116,115,66,103,61,34,48,34,32,99,101,108,108,115, 112,97,99,105,110,103,61,34,48,34,32,121,112,101,61,34,116,101,120,116,47,99,115 ,115,34,32,109,101,100,105,97,61,34,116,121,112,101,61,39,116,101,120,116,47,106 ,97,118,97,115,99,114,105,112,116,39,119,105,116,104,32,116,104,101,32,101,120, 99,101,112,116,105,111,110,32,111,102,32,121,112,101,61,34,116,101,120,116,47,99 ,115,115,34,32,114,101,108,61,34,115,116,32,104,101,105,103,104,116,61,34,49,34, 32,119,105,100,116,104,61,34,49,34,32,61,39,43,101,110,99,111,100,101,85,82,73, 67,111,109,112,111,110,101,110,116,40,60,108,105,110,107,32,114,101,108,61,34,97 ,108,116,101,114,110,97,116,101,34,32,10,98,111,100,121,44,32,116,114,44,32,105, 110,112,117,116,44,32,116,101,120,116,109,101,116,97,32,110,97,109,101,61,34,114 ,111,98,111,116,115,34,32,99,111,110,109,101,116,104,111,100,61,34,112,111,115, 116,34,32,97,99,116,105,111,110,61,34,62,10,60,97,32,104,114,101,102,61,34,104, 116,116,112,58,47,47,119,119,119,46,99,115,115,34,32,114,101,108,61,34,115,116, 121,108,101,115,104,101,101,116,34,32,60,47,100,105,118,62,60,47,100,105,118,62, 60,100,105,118,32,99,108,97,115,115,108,97,110,103,117,97,103,101,61,34,106,97, 118,97,115,99,114,105,112,116,34,62,97,114,105,97,45,104,105,100,100,101,110,61, 34,116,114,117,101,34,62,194,183,60,114,105,112,116,34,32,116,121,112,101,61,34, 116,101,120,116,47,106,97,118,97,115,108,61,48,59,125,41,40,41,59,10,40,102,117, 110,99,116,105,111,110,40,41,123,98,97,99,107,103,114,111,117,110,100,45,105,109 ,97,103,101,58,32,117,114,108,40,47,97,62,60,47,108,105,62,60,108,105,62,60,97, 32,104,114,101,102,61,34,104,9,9,60,108,105,62,60,97,32,104,114,101,102,61,34, 104,116,116,112,58,47,47,97,116,111,114,34,32,97,114,105,97,45,104,105,100,100, 101,110,61,34,116,114,117,62,32,60,97,32,104,114,101,102,61,34,104,116,116,112, 58,47,47,119,119,119,46,108,97,110,103,117,97,103,101,61,34,106,97,118,97,115,99 ,114,105,112,116,34,32,47,111,112,116,105,111,110,62,10,60,111,112,116,105,111, 110,32,118,97,108,117,101,47,100,105,118,62,60,47,100,105,118,62,60,100,105,118, 32,99,108,97,115,115,61,114,97,116,111,114,34,32,97,114,105,97,45,104,105,100, 100,101,110,61,34,116,114,101,61,40,110,101,119,32,68,97,116,101,41,46,103,101, 116,84,105,109,101,40,41,112,111,114,116,117,103,117,195,170,115,32,40,100,111, 32,66,114,97,115,105,108,41,208,190,209,128,208,179,208,176,208,189,208,184,208, 183,208,176,209,134,208,184,208,184,208,178,208,190,208,183,208,188,208,190,208, 182,208,189,208,190,209,129,209,130,209,140,208,190,208,177,209,128,208,176,208, 183,208,190,208,178,208,176,208,189,208,184,209,143,209,128,208,181,208,179,208, 184,209,129,209,130,209,128,208,176,209,134,208,184,208,184,208,178,208,190,208, 183,208,188,208,190,208,182,208,189,208,190,209,129,209,130,208,184,208,190,208, 177,209,143,208,183,208,176,209,130,208,181,208,187,209,140,208,189,208,176,60, 33,68,79,67,84,89,80,69,32,104,116,109,108,32,80,85,66,76,73,67,32,34,110,116,45 ,84,121,112,101,34,32,99,111,110,116,101,110,116,61,34,116,101,120,116,47,60,109 ,101,116,97,32,104,116,116,112,45,101,113,117,105,118,61,34,67,111,110,116,101, 114,97,110,115,105,116,105,111,110,97,108,47,47,69,78,34,32,34,104,116,116,112, 58,60,104,116,109,108,32,120,109,108,110,115,61,34,104,116,116,112,58,47,47,119, 119,119,45,47,47,87,51,67,47,47,68,84,68,32,88,72,84,77,76,32,49,46,48,32,84,68, 84,68,47,120,104,116,109,108,49,45,116,114,97,110,115,105,116,105,111,110,97,108 ,47,47,119,119,119,46,119,51,46,111,114,103,47,84,82,47,120,104,116,109,108,49, 47,112,101,32,61,32,39,116,101,120,116,47,106,97,118,97,115,99,114,105,112,116, 39,59,60,109,101,116,97,32,110,97,109,101,61,34,100,101,115,99,114,105,112,116, 105,111,110,112,97,114,101,110,116,78,111,100,101,46,105,110,115,101,114,116,66, 101,102,111,114,101,60,105,110,112,117,116,32,116,121,112,101,61,34,104,105,100, 100,101,110,34,32,110,97,106,115,34,32,116,121,112,101,61,34,116,101,120,116,47, 106,97,118,97,115,99,114,105,40,100,111,99,117,109,101,110,116,41,46,114,101,97, 100,121,40,102,117,110,99,116,105,115,99,114,105,112,116,32,116,121,112,101,61, 34,116,101,120,116,47,106,97,118,97,115,105,109,97,103,101,34,32,99,111,110,116, 101,110,116,61,34,104,116,116,112,58,47,47,85,65,45,67,111,109,112,97,116,105,98 ,108,101,34,32,99,111,110,116,101,110,116,61,116,109,108,59,32,99,104,97,114,115 ,101,116,61,117,116,102,45,56,34,32,47,62,10,108,105,110,107,32,114,101,108,61, 34,115,104,111,114,116,99,117,116,32,105,99,111,110,60,108,105,110,107,32,114, 101,108,61,34,115,116,121,108,101,115,104,101,101,116,34,32,60,47,115,99,114,105 ,112,116,62,10,60,115,99,114,105,112,116,32,116,121,112,101,61,61,32,100,111,99, 117,109,101,110,116,46,99,114,101,97,116,101,69,108,101,109,101,110,60,97,32,116 ,97,114,103,101,116,61,34,95,98,108,97,110,107,34,32,104,114,101,102,61,32,100, 111,99,117,109,101,110,116,46,103,101,116,69,108,101,109,101,110,116,115,66,105, 110,112,117,116,32,116,121,112,101,61,34,116,101,120,116,34,32,110,97,109,101,61 ,97,46,116,121,112,101,32,61,32,39,116,101,120,116,47,106,97,118,97,115,99,114, 105,110,112,117,116,32,116,121,112,101,61,34,104,105,100,100,101,110,34,32,110, 97,109,101,104,116,109,108,59,32,99,104,97,114,115,101,116,61,117,116,102,45,56, 34,32,47,62,100,116,100,34,62,10,60,104,116,109,108,32,120,109,108,110,115,61,34 ,104,116,116,112,45,47,47,87,51,67,47,47,68,84,68,32,72,84,77,76,32,52,46,48,49, 32,84,101,110,116,115,66,121,84,97,103,78,97,109,101,40,39,115,99,114,105,112, 116,39,41,105,110,112,117,116,32,116,121,112,101,61,34,104,105,100,100,101,110, 34,32,110,97,109,60,115,99,114,105,112,116,32,116,121,112,101,61,34,116,101,120, 116,47,106,97,118,97,115,34,32,115,116,121,108,101,61,34,100,105,115,112,108,97, 121,58,110,111,110,101,59,34,62,100,111,99,117,109,101,110,116,46,103,101,116,69 ,108,101,109,101,110,116,66,121,73,100,40,61,100,111,99,117,109,101,110,116,46, 99,114,101,97,116,101,69,108,101,109,101,110,116,40,39,32,116,121,112,101,61,39, 116,101,120,116,47,106,97,118,97,115,99,114,105,112,116,39,105,110,112,117,116, 32,116,121,112,101,61,34,116,101,120,116,34,32,110,97,109,101,61,34,100,46,103, 101,116,69,108,101,109,101,110,116,115,66,121,84,97,103,78,97,109,101,40,115,110 ,105,99,97,108,34,32,104,114,101,102,61,34,104,116,116,112,58,47,47,119,119,119, 46,67,47,47,68,84,68,32,72,84,77,76,32,52,46,48,49,32,84,114,97,110,115,105,116, 60,115,116,121,108,101,32,116,121,112,101,61,34,116,101,120,116,47,99,115,115,34 ,62,10,10,60,115,116,121,108,101,32,116,121,112,101,61,34,116,101,120,116,47,99, 115,115,34,62,105,111,110,97,108,46,100,116,100,34,62,10,60,104,116,109,108,32, 120,109,108,110,115,61,104,116,116,112,45,101,113,117,105,118,61,34,67,111,110, 116,101,110,116,45,84,121,112,101,100,105,110,103,61,34,48,34,32,99,101,108,108, 115,112,97,99,105,110,103,61,34,48,34,104,116,109,108,59,32,99,104,97,114,115, 101,116,61,117,116,102,45,56,34,32,47,62,10,32,115,116,121,108,101,61,34,100,105 ,115,112,108,97,121,58,110,111,110,101,59,34,62,60,60,108,105,62,60,97,32,104, 114,101,102,61,34,104,116,116,112,58,47,47,119,119,119,46,32,116,121,112,101,61, 39,116,101,120,116,47,106,97,118,97,115,99,114,105,112,116,39,62,208,180,208,181 ,209,143,209,130,208,181,208,187,209,140,208,189,208,190,209,129,209,130,208,184 ,209,129,208,190,208,190,209,130,208,178,208,181,209,130,209,129,209,130,208,178 ,208,184,208,184,208,191,209,128,208,190,208,184,208,183,208,178,208,190,208,180 ,209,129,209,130,208,178,208,176,208,177,208,181,208,183,208,190,208,191,208,176 ,209,129,208,189,208,190,209,129,209,130,208,184,224,164,170,224,165,129,224,164 ,184,224,165,141,224,164,164,224,164,191,224,164,149,224,164,190,224,164,149,224 ,164,190,224,164,130,224,164,151,224,165,141,224,164,176,224,165,135,224,164,184 ,224,164,137,224,164,168,224,165,141,224,164,185,224,165,139,224,164,130,224,164 ,168,224,165,135,224,164,181,224,164,191,224,164,167,224,164,190,224,164,168,224 ,164,184,224,164,173,224,164,190,224,164,171,224,164,191,224,164,149,224,165,141 ,224,164,184,224,164,191,224,164,130,224,164,151,224,164,184,224,165,129,224,164 ,176,224,164,149,224,165,141,224,164,183,224,164,191,224,164,164,224,164,149,224 ,165,137,224,164,170,224,165,128,224,164,176,224,164,190,224,164,135,224,164,159 ,224,164,181,224,164,191,224,164,156,224,165,141,224,164,158,224,164,190,224,164 ,170,224,164,168,224,164,149,224,164,190,224,164,176,224,165,141,224,164,176,224 ,164,181,224,164,190,224,164,136,224,164,184,224,164,149,224,165,141,224,164,176 ,224,164,191,224,164,175,224,164,164,224,164,190 } /* GENERATED CODE END */ ; #endif /* !BROTLI_EXTERNAL_DICTIONARY_DATA */ #if !defined(BROTLI_EXTERNAL_DICTIONARY_DATA) static const BrotliDictionary kBrotliDictionary = { #else static BrotliDictionary kBrotliDictionary = { #endif /* size_bits_by_length */ { 0, 0, 0, 0, 10, 10, 11, 11, 10, 10, 10, 10, 10, 9, 9, 8, 7, 7, 8, 7, 7, 6, 6, 5, 5, 0, 0, 0, 0, 0, 0, 0 }, /* offsets_by_length */ { 0, 0, 0, 0, 0, 4096, 9216, 21504, 35840, 44032, 53248, 63488, 74752, 87040, 93696, 100864, 104704, 106752, 108928, 113536, 115968, 118528, 119872, 121280, 122016, 122784, 122784, 122784, 122784, 122784, 122784, 122784 }, /* data_size == sizeof(kBrotliDictionaryData) */ 122784, /* data */ #if defined(BROTLI_EXTERNAL_DICTIONARY_DATA) NULL #else kBrotliDictionaryData #endif }; const BrotliDictionary* BrotliGetDictionary(void) { return &kBrotliDictionary; } void BrotliSetDictionaryData(const uint8_t* data) { #if defined(BROTLI_EXTERNAL_DICTIONARY_DATA) if (!!data && !kBrotliDictionary.data) { kBrotliDictionary.data = data; } #else BROTLI_UNUSED(data); // Appease -Werror=unused-parameter #endif } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/common/shared_dictionary.c0000644000175000017500000004202014606651213022066 0ustar timtim/* Copyright 2017 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Shared Dictionary definition and utilities. */ #include #include #include /* malloc, free */ #include #include "dictionary.h" #include "platform.h" #include "shared_dictionary_internal.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif #if defined(BROTLI_EXPERIMENTAL) #define BROTLI_NUM_ENCODED_LENGTHS (SHARED_BROTLI_MAX_DICTIONARY_WORD_LENGTH \ - SHARED_BROTLI_MIN_DICTIONARY_WORD_LENGTH + 1) /* Max allowed by spec */ #define BROTLI_MAX_SIZE_BITS 15u /* Returns BROTLI_TRUE on success, BROTLI_FALSE on failure. */ static BROTLI_BOOL ReadBool(const uint8_t* encoded, size_t size, size_t* pos, BROTLI_BOOL* result) { uint8_t value; size_t position = *pos; if (position >= size) return BROTLI_FALSE; /* past file end */ value = encoded[position++]; if (value > 1) return BROTLI_FALSE; /* invalid bool */ *result = TO_BROTLI_BOOL(value); *pos = position; return BROTLI_TRUE; /* success */ } /* Returns BROTLI_TRUE on success, BROTLI_FALSE on failure. */ static BROTLI_BOOL ReadUint8(const uint8_t* encoded, size_t size, size_t* pos, uint8_t* result) { size_t position = *pos; if (position + sizeof(uint8_t) > size) return BROTLI_FALSE; *result = encoded[position++]; *pos = position; return BROTLI_TRUE; } /* Returns BROTLI_TRUE on success, BROTLI_FALSE on failure. */ static BROTLI_BOOL ReadUint16(const uint8_t* encoded, size_t size, size_t* pos, uint16_t* result) { size_t position = *pos; if (position + sizeof(uint16_t) > size) return BROTLI_FALSE; *result = BROTLI_UNALIGNED_LOAD16LE(&encoded[position]); position += 2; *pos = position; return BROTLI_TRUE; } /* Reads a varint into a uint32_t, and returns error if it's too large */ /* Returns BROTLI_TRUE on success, BROTLI_FALSE on failure. */ static BROTLI_BOOL ReadVarint32(const uint8_t* encoded, size_t size, size_t* pos, uint32_t* result) { int num = 0; uint8_t byte; *result = 0; for (;;) { if (*pos >= size) return BROTLI_FALSE; byte = encoded[(*pos)++]; if (num == 4 && byte > 15) return BROTLI_FALSE; *result |= (uint32_t)(byte & 127) << (num * 7); if (byte < 128) return BROTLI_TRUE; num++; } } /* Returns the total length of word list. */ static size_t BrotliSizeBitsToOffsets(const uint8_t* size_bits_by_length, uint32_t* offsets_by_length) { uint32_t pos = 0; uint32_t i; for (i = 0; i <= SHARED_BROTLI_MAX_DICTIONARY_WORD_LENGTH; i++) { offsets_by_length[i] = pos; if (size_bits_by_length[i] != 0) { pos += i << size_bits_by_length[i]; } } return pos; } static BROTLI_BOOL ParseWordList(size_t size, const uint8_t* encoded, size_t* pos, BrotliDictionary* out) { size_t offset; size_t i; size_t position = *pos; if (position + BROTLI_NUM_ENCODED_LENGTHS > size) { return BROTLI_FALSE; } memset(out->size_bits_by_length, 0, SHARED_BROTLI_MIN_DICTIONARY_WORD_LENGTH); memcpy(out->size_bits_by_length + SHARED_BROTLI_MIN_DICTIONARY_WORD_LENGTH, &encoded[position], BROTLI_NUM_ENCODED_LENGTHS); for (i = SHARED_BROTLI_MIN_DICTIONARY_WORD_LENGTH; i <= SHARED_BROTLI_MAX_DICTIONARY_WORD_LENGTH; i++) { if (out->size_bits_by_length[i] > BROTLI_MAX_SIZE_BITS) { return BROTLI_FALSE; } } position += BROTLI_NUM_ENCODED_LENGTHS; offset = BrotliSizeBitsToOffsets( out->size_bits_by_length, out->offsets_by_length); out->data = &encoded[position]; out->data_size = offset; position += offset; if (position > size) return BROTLI_FALSE; *pos = position; return BROTLI_TRUE; } /* Computes the cutOffTransforms of a BrotliTransforms which already has the transforms data correctly filled in. */ static void ComputeCutoffTransforms(BrotliTransforms* transforms) { uint32_t i; for (i = 0; i < BROTLI_TRANSFORMS_MAX_CUT_OFF + 1; i++) { transforms->cutOffTransforms[i] = -1; } for (i = 0; i < transforms->num_transforms; i++) { const uint8_t* prefix = BROTLI_TRANSFORM_PREFIX(transforms, i); uint8_t type = BROTLI_TRANSFORM_TYPE(transforms, i); const uint8_t* suffix = BROTLI_TRANSFORM_SUFFIX(transforms, i); if (type <= BROTLI_TRANSFORM_OMIT_LAST_9 && *prefix == 0 && *suffix == 0 && transforms->cutOffTransforms[type] == -1) { transforms->cutOffTransforms[type] = (int16_t)i; } } } static BROTLI_BOOL ParsePrefixSuffixTable(size_t size, const uint8_t* encoded, size_t* pos, BrotliTransforms* out, uint16_t* out_table, size_t* out_table_size) { size_t position = *pos; size_t offset = 0; size_t stringlet_count = 0; /* NUM_PREFIX_SUFFIX */ size_t data_length = 0; /* PREFIX_SUFFIX_LENGTH */ if (!ReadUint16(encoded, size, &position, &out->prefix_suffix_size)) { return BROTLI_FALSE; } data_length = out->prefix_suffix_size; /* Must at least have space for null terminator. */ if (data_length < 1) return BROTLI_FALSE; out->prefix_suffix = &encoded[position]; if (position + data_length >= size) return BROTLI_FALSE; while (BROTLI_TRUE) { /* STRING_LENGTH */ size_t stringlet_len = encoded[position + offset]; out_table[stringlet_count] = (uint16_t)offset; stringlet_count++; offset++; if (stringlet_len == 0) { if (offset == data_length) { break; } else { return BROTLI_FALSE; } } if (stringlet_count > 255) return BROTLI_FALSE; offset += stringlet_len; if (offset >= data_length) return BROTLI_FALSE; } position += data_length; *pos = position; *out_table_size = (uint16_t)stringlet_count; return BROTLI_TRUE; } static BROTLI_BOOL ParseTransformsList(size_t size, const uint8_t* encoded, size_t* pos, BrotliTransforms* out, uint16_t* prefix_suffix_table, size_t* prefix_suffix_count) { uint32_t i; BROTLI_BOOL has_params = BROTLI_FALSE; BROTLI_BOOL prefix_suffix_ok = BROTLI_FALSE; size_t position = *pos; size_t stringlet_cnt = 0; if (position >= size) return BROTLI_FALSE; prefix_suffix_ok = ParsePrefixSuffixTable( size, encoded, &position, out, prefix_suffix_table, &stringlet_cnt); if (!prefix_suffix_ok) return BROTLI_FALSE; out->prefix_suffix_map = prefix_suffix_table; *prefix_suffix_count = stringlet_cnt; out->num_transforms = encoded[position++]; out->transforms = &encoded[position]; position += (size_t)out->num_transforms * 3; if (position > size) return BROTLI_FALSE; /* Check for errors and read extra parameters. */ for (i = 0; i < out->num_transforms; i++) { uint8_t prefix_id = BROTLI_TRANSFORM_PREFIX_ID(out, i); uint8_t type = BROTLI_TRANSFORM_TYPE(out, i); uint8_t suffix_id = BROTLI_TRANSFORM_SUFFIX_ID(out, i); if (prefix_id >= stringlet_cnt) return BROTLI_FALSE; if (type >= BROTLI_NUM_TRANSFORM_TYPES) return BROTLI_FALSE; if (suffix_id >= stringlet_cnt) return BROTLI_FALSE; if (type == BROTLI_TRANSFORM_SHIFT_FIRST || type == BROTLI_TRANSFORM_SHIFT_ALL) { has_params = BROTLI_TRUE; } } if (has_params) { out->params = &encoded[position]; position += (size_t)out->num_transforms * 2; if (position > size) return BROTLI_FALSE; for (i = 0; i < out->num_transforms; i++) { uint8_t type = BROTLI_TRANSFORM_TYPE(out, i); if (type != BROTLI_TRANSFORM_SHIFT_FIRST && type != BROTLI_TRANSFORM_SHIFT_ALL) { if (out->params[i * 2] != 0 || out->params[i * 2 + 1] != 0) { return BROTLI_FALSE; } } } } else { out->params = NULL; } ComputeCutoffTransforms(out); *pos = position; return BROTLI_TRUE; } static BROTLI_BOOL DryParseDictionary(const uint8_t* encoded, size_t size, uint32_t* num_prefix, BROTLI_BOOL* is_custom_static_dict) { size_t pos = 0; uint32_t chunk_size = 0; uint8_t num_word_lists; uint8_t num_transform_lists; *is_custom_static_dict = BROTLI_FALSE; *num_prefix = 0; /* Skip magic header bytes. */ pos += 2; /* LZ77_DICTIONARY_LENGTH */ if (!ReadVarint32(encoded, size, &pos, &chunk_size)) return BROTLI_FALSE; if (chunk_size != 0) { /* This limitation is not specified but the 32-bit Brotli decoder for now */ if (chunk_size > 1073741823) return BROTLI_FALSE; *num_prefix = 1; if (pos + chunk_size > size) return BROTLI_FALSE; pos += chunk_size; } if (!ReadUint8(encoded, size, &pos, &num_word_lists)) { return BROTLI_FALSE; } if (!ReadUint8(encoded, size, &pos, &num_transform_lists)) { return BROTLI_FALSE; } if (num_word_lists > 0 || num_transform_lists > 0) { *is_custom_static_dict = BROTLI_TRUE; } return BROTLI_TRUE; } static BROTLI_BOOL ParseDictionary(const uint8_t* encoded, size_t size, BrotliSharedDictionary* dict) { uint32_t i; size_t pos = 0; uint32_t chunk_size = 0; size_t total_prefix_suffix_count = 0; size_t trasform_list_start[SHARED_BROTLI_NUM_DICTIONARY_CONTEXTS]; uint16_t temporary_prefix_suffix_table[256]; /* Skip magic header bytes. */ pos += 2; /* LZ77_DICTIONARY_LENGTH */ if (!ReadVarint32(encoded, size, &pos, &chunk_size)) return BROTLI_FALSE; if (chunk_size != 0) { if (pos + chunk_size > size) return BROTLI_FALSE; dict->prefix_size[dict->num_prefix] = chunk_size; dict->prefix[dict->num_prefix] = &encoded[pos]; dict->num_prefix++; /* LZ77_DICTIONARY_LENGTH bytes. */ pos += chunk_size; } /* NUM_WORD_LISTS */ if (!ReadUint8(encoded, size, &pos, &dict->num_word_lists)) { return BROTLI_FALSE; } if (dict->num_word_lists > SHARED_BROTLI_NUM_DICTIONARY_CONTEXTS) { return BROTLI_FALSE; } if (dict->num_word_lists != 0) { dict->words_instances = (BrotliDictionary*)dict->alloc_func( dict->memory_manager_opaque, dict->num_word_lists * sizeof(*dict->words_instances)); if (!dict->words_instances) return BROTLI_FALSE; /* OOM */ } for (i = 0; i < dict->num_word_lists; i++) { if (!ParseWordList(size, encoded, &pos, &dict->words_instances[i])) { return BROTLI_FALSE; } } /* NUM_TRANSFORM_LISTS */ if (!ReadUint8(encoded, size, &pos, &dict->num_transform_lists)) { return BROTLI_FALSE; } if (dict->num_transform_lists > SHARED_BROTLI_NUM_DICTIONARY_CONTEXTS) { return BROTLI_FALSE; } if (dict->num_transform_lists != 0) { dict->transforms_instances = (BrotliTransforms*)dict->alloc_func( dict->memory_manager_opaque, dict->num_transform_lists * sizeof(*dict->transforms_instances)); if (!dict->transforms_instances) return BROTLI_FALSE; /* OOM */ } for (i = 0; i < dict->num_transform_lists; i++) { BROTLI_BOOL ok = BROTLI_FALSE; size_t prefix_suffix_count = 0; trasform_list_start[i] = pos; dict->transforms_instances[i].prefix_suffix_map = temporary_prefix_suffix_table; ok = ParseTransformsList( size, encoded, &pos, &dict->transforms_instances[i], temporary_prefix_suffix_table, &prefix_suffix_count); if (!ok) return BROTLI_FALSE; total_prefix_suffix_count += prefix_suffix_count; } if (total_prefix_suffix_count != 0) { dict->prefix_suffix_maps = (uint16_t*)dict->alloc_func( dict->memory_manager_opaque, total_prefix_suffix_count * sizeof(*dict->prefix_suffix_maps)); if (!dict->prefix_suffix_maps) return BROTLI_FALSE; /* OOM */ } total_prefix_suffix_count = 0; for (i = 0; i < dict->num_transform_lists; i++) { size_t prefix_suffix_count = 0; size_t position = trasform_list_start[i]; uint16_t* prefix_suffix_map = &dict->prefix_suffix_maps[total_prefix_suffix_count]; BROTLI_BOOL ok = ParsePrefixSuffixTable( size, encoded, &position, &dict->transforms_instances[i], prefix_suffix_map, &prefix_suffix_count); if (!ok) return BROTLI_FALSE; dict->transforms_instances[i].prefix_suffix_map = prefix_suffix_map; total_prefix_suffix_count += prefix_suffix_count; } if (dict->num_word_lists != 0 || dict->num_transform_lists != 0) { if (!ReadUint8(encoded, size, &pos, &dict->num_dictionaries)) { return BROTLI_FALSE; } if (dict->num_dictionaries == 0 || dict->num_dictionaries > SHARED_BROTLI_NUM_DICTIONARY_CONTEXTS) { return BROTLI_FALSE; } for (i = 0; i < dict->num_dictionaries; i++) { uint8_t words_index; uint8_t transforms_index; if (!ReadUint8(encoded, size, &pos, &words_index)) { return BROTLI_FALSE; } if (words_index > dict->num_word_lists) return BROTLI_FALSE; if (!ReadUint8(encoded, size, &pos, &transforms_index)) { return BROTLI_FALSE; } if (transforms_index > dict->num_transform_lists) return BROTLI_FALSE; dict->words[i] = words_index == dict->num_word_lists ? BrotliGetDictionary() : &dict->words_instances[words_index]; dict->transforms[i] = transforms_index == dict->num_transform_lists ? BrotliGetTransforms(): &dict->transforms_instances[transforms_index]; } /* CONTEXT_ENABLED */ if (!ReadBool(encoded, size, &pos, &dict->context_based)) { return BROTLI_FALSE; } /* CONTEXT_MAP */ if (dict->context_based) { for (i = 0; i < SHARED_BROTLI_NUM_DICTIONARY_CONTEXTS; i++) { if (!ReadUint8(encoded, size, &pos, &dict->context_map[i])) { return BROTLI_FALSE; } if (dict->context_map[i] >= dict->num_dictionaries) { return BROTLI_FALSE; } } } } else { dict->context_based = BROTLI_FALSE; dict->num_dictionaries = 1; dict->words[0] = BrotliGetDictionary(); dict->transforms[0] = BrotliGetTransforms(); } return BROTLI_TRUE; } /* Decodes shared dictionary and verifies correctness. Returns BROTLI_TRUE if dictionary is valid, BROTLI_FALSE otherwise. The BrotliSharedDictionary must already have been initialized. If the BrotliSharedDictionary already contains data, compound dictionaries will be appended, but an error will be returned if it already has custom words or transforms. TODO(lode): link to RFC for shared brotli once published. */ static BROTLI_BOOL DecodeSharedDictionary( const uint8_t* encoded, size_t size, BrotliSharedDictionary* dict) { uint32_t num_prefix = 0; BROTLI_BOOL is_custom_static_dict = BROTLI_FALSE; BROTLI_BOOL has_custom_static_dict = dict->num_word_lists > 0 || dict->num_transform_lists > 0; /* Check magic header bytes. */ if (size < 2) return BROTLI_FALSE; if (encoded[0] != 0x91 || encoded[1] != 0) return BROTLI_FALSE; if (!DryParseDictionary(encoded, size, &num_prefix, &is_custom_static_dict)) { return BROTLI_FALSE; } if (num_prefix + dict->num_prefix > SHARED_BROTLI_MAX_COMPOUND_DICTS) { return BROTLI_FALSE; } /* Cannot combine different static dictionaries, only prefix dictionaries */ if (has_custom_static_dict && is_custom_static_dict) return BROTLI_FALSE; return ParseDictionary(encoded, size, dict); } #endif /* BROTLI_EXPERIMENTAL */ void BrotliSharedDictionaryDestroyInstance( BrotliSharedDictionary* dict) { if (!dict) { return; } else { brotli_free_func free_func = dict->free_func; void* opaque = dict->memory_manager_opaque; /* Cleanup. */ free_func(opaque, dict->words_instances); free_func(opaque, dict->transforms_instances); free_func(opaque, dict->prefix_suffix_maps); /* Self-destruction. */ free_func(opaque, dict); } } BROTLI_BOOL BrotliSharedDictionaryAttach( BrotliSharedDictionary* dict, BrotliSharedDictionaryType type, size_t data_size, const uint8_t data[BROTLI_ARRAY_PARAM(data_size)]) { if (!dict) { return BROTLI_FALSE; } #if defined(BROTLI_EXPERIMENTAL) if (type == BROTLI_SHARED_DICTIONARY_SERIALIZED) { return DecodeSharedDictionary(data, data_size, dict); } #endif /* BROTLI_EXPERIMENTAL */ if (type == BROTLI_SHARED_DICTIONARY_RAW) { if (dict->num_prefix >= SHARED_BROTLI_MAX_COMPOUND_DICTS) { return BROTLI_FALSE; } dict->prefix_size[dict->num_prefix] = data_size; dict->prefix[dict->num_prefix] = data; dict->num_prefix++; return BROTLI_TRUE; } return BROTLI_FALSE; } BrotliSharedDictionary* BrotliSharedDictionaryCreateInstance( brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque) { BrotliSharedDictionary* dict = 0; if (!alloc_func && !free_func) { dict = (BrotliSharedDictionary*)malloc(sizeof(BrotliSharedDictionary)); } else if (alloc_func && free_func) { dict = (BrotliSharedDictionary*)alloc_func( opaque, sizeof(BrotliSharedDictionary)); } if (dict == 0) { return 0; } /* TODO(eustas): explicitly initialize all the fields? */ memset(dict, 0, sizeof(BrotliSharedDictionary)); dict->context_based = BROTLI_FALSE; dict->num_dictionaries = 1; dict->num_word_lists = 0; dict->num_transform_lists = 0; dict->words[0] = BrotliGetDictionary(); dict->transforms[0] = BrotliGetTransforms(); dict->alloc_func = alloc_func ? alloc_func : BrotliDefaultAllocFunc; dict->free_func = free_func ? free_func : BrotliDefaultFreeFunc; dict->memory_manager_opaque = opaque; return dict; } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/common/context.h0000644000175000017500000001107214606651213020067 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Lookup table to map the previous two bytes to a context id. There are four different context modeling modes defined here: CONTEXT_LSB6: context id is the least significant 6 bits of the last byte, CONTEXT_MSB6: context id is the most significant 6 bits of the last byte, CONTEXT_UTF8: second-order context model tuned for UTF8-encoded text, CONTEXT_SIGNED: second-order context model tuned for signed integers. If |p1| and |p2| are the previous two bytes, and |mode| is current context mode, we calculate the context as: context = ContextLut(mode)[p1] | ContextLut(mode)[p2 + 256]. For CONTEXT_UTF8 mode, if the previous two bytes are ASCII characters (i.e. < 128), this will be equivalent to context = 4 * context1(p1) + context2(p2), where context1 is based on the previous byte in the following way: 0 : non-ASCII control 1 : \t, \n, \r 2 : space 3 : other punctuation 4 : " ' 5 : % 6 : ( < [ { 7 : ) > ] } 8 : , ; : 9 : . 10 : = 11 : number 12 : upper-case vowel 13 : upper-case consonant 14 : lower-case vowel 15 : lower-case consonant and context2 is based on the second last byte: 0 : control, space 1 : punctuation 2 : upper-case letter, number 3 : lower-case letter If the last byte is ASCII, and the second last byte is not (in a valid UTF8 stream it will be a continuation byte, value between 128 and 191), the context is the same as if the second last byte was an ASCII control or space. If the last byte is a UTF8 lead byte (value >= 192), then the next byte will be a continuation byte and the context id is 2 or 3 depending on the LSB of the last byte and to a lesser extent on the second last byte if it is ASCII. If the last byte is a UTF8 continuation byte, the second last byte can be: - continuation byte: the next byte is probably ASCII or lead byte (assuming 4-byte UTF8 characters are rare) and the context id is 0 or 1. - lead byte (192 - 207): next byte is ASCII or lead byte, context is 0 or 1 - lead byte (208 - 255): next byte is continuation byte, context is 2 or 3 The possible value combinations of the previous two bytes, the range of context ids and the type of the next byte is summarized in the table below: |--------\-----------------------------------------------------------------| | \ Last byte | | Second \---------------------------------------------------------------| | last byte \ ASCII | cont. byte | lead byte | | \ (0-127) | (128-191) | (192-) | |=============|===================|=====================|==================| | ASCII | next: ASCII/lead | not valid | next: cont. | | (0-127) | context: 4 - 63 | | context: 2 - 3 | |-------------|-------------------|---------------------|------------------| | cont. byte | next: ASCII/lead | next: ASCII/lead | next: cont. | | (128-191) | context: 4 - 63 | context: 0 - 1 | context: 2 - 3 | |-------------|-------------------|---------------------|------------------| | lead byte | not valid | next: ASCII/lead | not valid | | (192-207) | | context: 0 - 1 | | |-------------|-------------------|---------------------|------------------| | lead byte | not valid | next: cont. | not valid | | (208-) | | context: 2 - 3 | | |-------------|-------------------|---------------------|------------------| */ #ifndef BROTLI_COMMON_CONTEXT_H_ #define BROTLI_COMMON_CONTEXT_H_ #include #include typedef enum ContextType { CONTEXT_LSB6 = 0, CONTEXT_MSB6 = 1, CONTEXT_UTF8 = 2, CONTEXT_SIGNED = 3 } ContextType; /* "Soft-private", it is exported, but not "advertised" as API. */ /* Common context lookup table for all context modes. */ BROTLI_COMMON_API extern const uint8_t _kBrotliContextLookupTable[2048]; typedef const uint8_t* ContextLut; /* typeof(MODE) == ContextType; returns ContextLut */ #define BROTLI_CONTEXT_LUT(MODE) (&_kBrotliContextLookupTable[(MODE) << 9]) /* typeof(LUT) == ContextLut */ #define BROTLI_CONTEXT(P1, P2, LUT) ((LUT)[P1] | ((LUT) + 256)[P2]) #endif /* BROTLI_COMMON_CONTEXT_H_ */ IO-Compress-Brotli-0.019/brotli/c/common/dictionary.h0000644000175000017500000000363714606651213020560 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Collection of static dictionary words. */ #ifndef BROTLI_COMMON_DICTIONARY_H_ #define BROTLI_COMMON_DICTIONARY_H_ #include #include #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif typedef struct BrotliDictionary { /** * Number of bits to encode index of dictionary word in a bucket. * * Specification: Appendix A. Static Dictionary Data * * Words in a dictionary are bucketed by length. * @c 0 means that there are no words of a given length. * Dictionary consists of words with length of [4..24] bytes. * Values at [0..3] and [25..31] indices should not be addressed. */ uint8_t size_bits_by_length[32]; /* assert(offset[i + 1] == offset[i] + (bits[i] ? (i << bits[i]) : 0)) */ uint32_t offsets_by_length[32]; /* assert(data_size == offsets_by_length[31]) */ size_t data_size; /* Data array is not bound, and should obey to size_bits_by_length values. Specified size matches default (RFC 7932) dictionary. Its size is defined by data_size */ const uint8_t* data; } BrotliDictionary; BROTLI_COMMON_API const BrotliDictionary* BrotliGetDictionary(void); /** * Sets dictionary data. * * When dictionary data is already set / present, this method is no-op. * * Dictionary data MUST be provided before BrotliGetDictionary is invoked. * This method is used ONLY in multi-client environment (e.g. C + Java), * to reduce storage by sharing single dictionary between implementations. */ BROTLI_COMMON_API void BrotliSetDictionaryData(const uint8_t* data); #define BROTLI_MIN_DICTIONARY_WORD_LENGTH 4 #define BROTLI_MAX_DICTIONARY_WORD_LENGTH 24 #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_COMMON_DICTIONARY_H_ */ IO-Compress-Brotli-0.019/brotli/c/common/version.h0000644000175000017500000000327314606651213020074 0ustar timtim/* Copyright 2016 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Version definition. */ #ifndef BROTLI_COMMON_VERSION_H_ #define BROTLI_COMMON_VERSION_H_ /* Compose 3 components into a single number. In a hexadecimal representation B and C components occupy exactly 3 digits. */ #define BROTLI_MAKE_HEX_VERSION(A, B, C) ((A << 24) | (B << 12) | C) /* Those macros should only be used when library is compiled together with the client. If library is dynamically linked, use BrotliDecoderVersion and BrotliEncoderVersion methods. */ #define BROTLI_VERSION_MAJOR 1 #define BROTLI_VERSION_MINOR 1 #define BROTLI_VERSION_PATCH 0 #define BROTLI_VERSION BROTLI_MAKE_HEX_VERSION( \ BROTLI_VERSION_MAJOR, BROTLI_VERSION_MINOR, BROTLI_VERSION_PATCH) /* This macro is used by build system to produce Libtool-friendly soname. See https://www.gnu.org/software/libtool/manual/html_node/Libtool-versioning.html Version evolution rules: - interfaces added (or change is compatible) -> current+1:0:age+1 - interfaces removed (or changed is incompatible) -> current+1:0:0 - interfaces not changed -> current:revision+1:age */ #define BROTLI_ABI_CURRENT 2 #define BROTLI_ABI_REVISION 0 #define BROTLI_ABI_AGE 1 #if BROTLI_VERSION_MAJOR != (BROTLI_ABI_CURRENT - BROTLI_ABI_AGE) #error ABI/API version inconsistency #endif #if BROTLI_VERSION_MINOR != BROTLI_ABI_AGE #error ABI/API version inconsistency #endif #if BROTLI_VERSION_PATCH != BROTLI_ABI_REVISION #error ABI/API version inconsistency #endif #endif /* BROTLI_COMMON_VERSION_H_ */ IO-Compress-Brotli-0.019/brotli/c/common/constants.h0000644000175000017500000001751314606651213020425 0ustar timtim/* Copyright 2016 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /** * @file * Common constants used in decoder and encoder API. */ #ifndef BROTLI_COMMON_CONSTANTS_H_ #define BROTLI_COMMON_CONSTANTS_H_ #include #include #include "platform.h" /* Specification: 7.3. Encoding of the context map */ #define BROTLI_CONTEXT_MAP_MAX_RLE 16 /* Specification: 2. Compressed representation overview */ #define BROTLI_MAX_NUMBER_OF_BLOCK_TYPES 256 /* Specification: 3.3. Alphabet sizes: insert-and-copy length */ #define BROTLI_NUM_LITERAL_SYMBOLS 256 #define BROTLI_NUM_COMMAND_SYMBOLS 704 #define BROTLI_NUM_BLOCK_LEN_SYMBOLS 26 #define BROTLI_MAX_CONTEXT_MAP_SYMBOLS (BROTLI_MAX_NUMBER_OF_BLOCK_TYPES + \ BROTLI_CONTEXT_MAP_MAX_RLE) #define BROTLI_MAX_BLOCK_TYPE_SYMBOLS (BROTLI_MAX_NUMBER_OF_BLOCK_TYPES + 2) /* Specification: 3.5. Complex prefix codes */ #define BROTLI_REPEAT_PREVIOUS_CODE_LENGTH 16 #define BROTLI_REPEAT_ZERO_CODE_LENGTH 17 #define BROTLI_CODE_LENGTH_CODES (BROTLI_REPEAT_ZERO_CODE_LENGTH + 1) /* "code length of 8 is repeated" */ #define BROTLI_INITIAL_REPEATED_CODE_LENGTH 8 /* "Large Window Brotli" */ /** * The theoretical maximum number of distance bits specified for large window * brotli, for 64-bit encoders and decoders. Even when in practice 32-bit * encoders and decoders only support up to 30 max distance bits, the value is * set to 62 because it affects the large window brotli file format. * Specifically, it affects the encoding of simple huffman tree for distances, * see Specification RFC 7932 chapter 3.4. */ #define BROTLI_LARGE_MAX_DISTANCE_BITS 62U #define BROTLI_LARGE_MIN_WBITS 10 /** * The maximum supported large brotli window bits by the encoder and decoder. * Large window brotli allows up to 62 bits, however the current encoder and * decoder, designed for 32-bit integers, only support up to 30 bits maximum. */ #define BROTLI_LARGE_MAX_WBITS 30 /* Specification: 4. Encoding of distances */ #define BROTLI_NUM_DISTANCE_SHORT_CODES 16 /** * Maximal number of "postfix" bits. * * Number of "postfix" bits is stored as 2 bits in meta-block header. */ #define BROTLI_MAX_NPOSTFIX 3 #define BROTLI_MAX_NDIRECT 120 #define BROTLI_MAX_DISTANCE_BITS 24U #define BROTLI_DISTANCE_ALPHABET_SIZE(NPOSTFIX, NDIRECT, MAXNBITS) ( \ BROTLI_NUM_DISTANCE_SHORT_CODES + (NDIRECT) + \ ((MAXNBITS) << ((NPOSTFIX) + 1))) /* BROTLI_NUM_DISTANCE_SYMBOLS == 1128 */ #define BROTLI_NUM_DISTANCE_SYMBOLS \ BROTLI_DISTANCE_ALPHABET_SIZE( \ BROTLI_MAX_NDIRECT, BROTLI_MAX_NPOSTFIX, BROTLI_LARGE_MAX_DISTANCE_BITS) /* ((1 << 26) - 4) is the maximal distance that can be expressed in RFC 7932 brotli stream using NPOSTFIX = 0 and NDIRECT = 0. With other NPOSTFIX and NDIRECT values distances up to ((1 << 29) + 88) could be expressed. */ #define BROTLI_MAX_DISTANCE 0x3FFFFFC /* ((1 << 31) - 4) is the safe distance limit. Using this number as a limit allows safe distance calculation without overflows, given the distance alphabet size is limited to corresponding size (see kLargeWindowDistanceCodeLimits). */ #define BROTLI_MAX_ALLOWED_DISTANCE 0x7FFFFFFC /* Specification: 4. Encoding of Literal Insertion Lengths and Copy Lengths */ #define BROTLI_NUM_INS_COPY_CODES 24 /* 7.1. Context modes and context ID lookup for literals */ /* "context IDs for literals are in the range of 0..63" */ #define BROTLI_LITERAL_CONTEXT_BITS 6 /* 7.2. Context ID for distances */ #define BROTLI_DISTANCE_CONTEXT_BITS 2 /* 9.1. Format of the Stream Header */ /* Number of slack bytes for window size. Don't confuse with BROTLI_NUM_DISTANCE_SHORT_CODES. */ #define BROTLI_WINDOW_GAP 16 #define BROTLI_MAX_BACKWARD_LIMIT(W) (((size_t)1 << (W)) - BROTLI_WINDOW_GAP) typedef struct BrotliDistanceCodeLimit { uint32_t max_alphabet_size; uint32_t max_distance; } BrotliDistanceCodeLimit; /* This function calculates maximal size of distance alphabet, such that the distances greater than the given values can not be represented. This limits are designed to support fast and safe 32-bit decoders. "32-bit" means that signed integer values up to ((1 << 31) - 1) could be safely expressed. Brotli distance alphabet symbols do not represent consecutive distance ranges. Each distance alphabet symbol (excluding direct distances and short codes), represent interleaved (for NPOSTFIX > 0) range of distances. A "group" of consecutive (1 << NPOSTFIX) symbols represent non-interleaved range. Two consecutive groups require the same amount of "extra bits". It is important that distance alphabet represents complete "groups". To avoid complex logic on encoder side about interleaved ranges it was decided to restrict both sides to complete distance code "groups". */ BROTLI_UNUSED_FUNCTION BrotliDistanceCodeLimit BrotliCalculateDistanceCodeLimit( uint32_t max_distance, uint32_t npostfix, uint32_t ndirect) { BrotliDistanceCodeLimit result; /* Marking this function as unused, because not all files including "constants.h" use it -> compiler warns about that. */ BROTLI_UNUSED(&BrotliCalculateDistanceCodeLimit); if (max_distance <= ndirect) { /* This case never happens / exists only for the sake of completeness. */ result.max_alphabet_size = max_distance + BROTLI_NUM_DISTANCE_SHORT_CODES; result.max_distance = max_distance; return result; } else { /* The first prohibited value. */ uint32_t forbidden_distance = max_distance + 1; /* Subtract "directly" encoded region. */ uint32_t offset = forbidden_distance - ndirect - 1; uint32_t ndistbits = 0; uint32_t tmp; uint32_t half; uint32_t group; /* Postfix for the last dcode in the group. */ uint32_t postfix = (1u << npostfix) - 1; uint32_t extra; uint32_t start; /* Remove postfix and "head-start". */ offset = (offset >> npostfix) + 4; /* Calculate the number of distance bits. */ tmp = offset / 2; /* Poor-man's log2floor, to avoid extra dependencies. */ while (tmp != 0) {ndistbits++; tmp = tmp >> 1;} /* One bit is covered with subrange addressing ("half"). */ ndistbits--; /* Find subrange. */ half = (offset >> ndistbits) & 1; /* Calculate the "group" part of dcode. */ group = ((ndistbits - 1) << 1) | half; /* Calculated "group" covers the prohibited distance value. */ if (group == 0) { /* This case is added for correctness; does not occur for limit > 128. */ result.max_alphabet_size = ndirect + BROTLI_NUM_DISTANCE_SHORT_CODES; result.max_distance = ndirect; return result; } /* Decrement "group", so it is the last permitted "group". */ group--; /* After group was decremented, ndistbits and half must be recalculated. */ ndistbits = (group >> 1) + 1; /* The last available distance in the subrange has all extra bits set. */ extra = (1u << ndistbits) - 1; /* Calculate region start. NB: ndistbits >= 1. */ start = (1u << (ndistbits + 1)) - 4; /* Move to subregion. */ start += (group & 1) << ndistbits; /* Calculate the alphabet size. */ result.max_alphabet_size = ((group << npostfix) | postfix) + ndirect + BROTLI_NUM_DISTANCE_SHORT_CODES + 1; /* Calculate the maximal distance representable by alphabet. */ result.max_distance = ((start + extra) << npostfix) + postfix + ndirect + 1; return result; } } /* Represents the range of values belonging to a prefix code: [offset, offset + 2^nbits) */ typedef struct { uint16_t offset; uint8_t nbits; } BrotliPrefixCodeRange; /* "Soft-private", it is exported, but not "advertised" as API. */ BROTLI_COMMON_API extern const BrotliPrefixCodeRange _kBrotliPrefixCodeRanges[BROTLI_NUM_BLOCK_LEN_SYMBOLS]; #endif /* BROTLI_COMMON_CONSTANTS_H_ */ IO-Compress-Brotli-0.019/brotli/c/common/platform.h0000644000175000017500000004457314606651213020243 0ustar timtim/* Copyright 2016 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ /* Macros for compiler / platform specific features and build options. Build options are: * BROTLI_BUILD_32_BIT disables 64-bit optimizations * BROTLI_BUILD_64_BIT forces to use 64-bit optimizations * BROTLI_BUILD_BIG_ENDIAN forces to use big-endian optimizations * BROTLI_BUILD_ENDIAN_NEUTRAL disables endian-aware optimizations * BROTLI_BUILD_LITTLE_ENDIAN forces to use little-endian optimizations * BROTLI_BUILD_NO_RBIT disables "rbit" optimization for ARM CPUs * BROTLI_BUILD_NO_UNALIGNED_READ_FAST forces off the fast-unaligned-read optimizations (mainly for testing purposes) * BROTLI_DEBUG dumps file name and line number when decoder detects stream or memory error * BROTLI_ENABLE_LOG enables asserts and dumps various state information * BROTLI_ENABLE_DUMP overrides default "dump" behaviour */ #ifndef BROTLI_COMMON_PLATFORM_H_ #define BROTLI_COMMON_PLATFORM_H_ #include /* memcpy */ #include #include #if defined(OS_LINUX) || defined(OS_CYGWIN) || defined(__EMSCRIPTEN__) #include #elif defined(OS_FREEBSD) #include #elif defined(OS_MACOSX) #include /* Let's try and follow the Linux convention */ #define BROTLI_X_BYTE_ORDER BYTE_ORDER #define BROTLI_X_LITTLE_ENDIAN LITTLE_ENDIAN #define BROTLI_X_BIG_ENDIAN BIG_ENDIAN #endif #if BROTLI_MSVC_VERSION_CHECK(18, 0, 0) #include #endif #if defined(BROTLI_ENABLE_LOG) || defined(BROTLI_DEBUG) #include #include #endif /* The following macros were borrowed from https://github.com/nemequ/hedley * with permission of original author - Evan Nemerson */ /* >>> >>> >>> hedley macros */ /* Define "BROTLI_PREDICT_TRUE" and "BROTLI_PREDICT_FALSE" macros for capable compilers. To apply compiler hint, enclose the branching condition into macros, like this: if (BROTLI_PREDICT_TRUE(zero == 0)) { // main execution path } else { // compiler should place this code outside of main execution path } OR: if (BROTLI_PREDICT_FALSE(something_rare_or_unexpected_happens)) { // compiler should place this code outside of main execution path } */ #if BROTLI_GNUC_HAS_BUILTIN(__builtin_expect, 3, 0, 0) || \ BROTLI_INTEL_VERSION_CHECK(16, 0, 0) || \ BROTLI_SUNPRO_VERSION_CHECK(5, 15, 0) || \ BROTLI_ARM_VERSION_CHECK(4, 1, 0) || \ BROTLI_IBM_VERSION_CHECK(10, 1, 0) || \ BROTLI_TI_VERSION_CHECK(7, 3, 0) || \ BROTLI_TINYC_VERSION_CHECK(0, 9, 27) #define BROTLI_PREDICT_TRUE(x) (__builtin_expect(!!(x), 1)) #define BROTLI_PREDICT_FALSE(x) (__builtin_expect(x, 0)) #else #define BROTLI_PREDICT_FALSE(x) (x) #define BROTLI_PREDICT_TRUE(x) (x) #endif #if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L) && \ !defined(__cplusplus) #define BROTLI_RESTRICT restrict #elif BROTLI_GNUC_VERSION_CHECK(3, 1, 0) || \ BROTLI_MSVC_VERSION_CHECK(14, 0, 0) || \ BROTLI_INTEL_VERSION_CHECK(16, 0, 0) || \ BROTLI_ARM_VERSION_CHECK(4, 1, 0) || \ BROTLI_IBM_VERSION_CHECK(10, 1, 0) || \ BROTLI_PGI_VERSION_CHECK(17, 10, 0) || \ BROTLI_TI_VERSION_CHECK(8, 0, 0) || \ BROTLI_IAR_VERSION_CHECK(8, 0, 0) || \ (BROTLI_SUNPRO_VERSION_CHECK(5, 14, 0) && defined(__cplusplus)) #define BROTLI_RESTRICT __restrict #elif BROTLI_SUNPRO_VERSION_CHECK(5, 3, 0) && !defined(__cplusplus) #define BROTLI_RESTRICT _Restrict #else #define BROTLI_RESTRICT #endif #if (defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L)) || \ (defined(__cplusplus) && (__cplusplus >= 199711L)) #define BROTLI_MAYBE_INLINE inline #elif defined(__GNUC_STDC_INLINE__) || defined(__GNUC_GNU_INLINE__) || \ BROTLI_ARM_VERSION_CHECK(6, 2, 0) #define BROTLI_MAYBE_INLINE __inline__ #elif BROTLI_MSVC_VERSION_CHECK(12, 0, 0) || \ BROTLI_ARM_VERSION_CHECK(4, 1, 0) || BROTLI_TI_VERSION_CHECK(8, 0, 0) #define BROTLI_MAYBE_INLINE __inline #else #define BROTLI_MAYBE_INLINE #endif #if BROTLI_GNUC_HAS_ATTRIBUTE(always_inline, 4, 0, 0) || \ BROTLI_INTEL_VERSION_CHECK(16, 0, 0) || \ BROTLI_SUNPRO_VERSION_CHECK(5, 11, 0) || \ BROTLI_ARM_VERSION_CHECK(4, 1, 0) || \ BROTLI_IBM_VERSION_CHECK(10, 1, 0) || \ BROTLI_TI_VERSION_CHECK(8, 0, 0) || \ (BROTLI_TI_VERSION_CHECK(7, 3, 0) && defined(__TI_GNU_ATTRIBUTE_SUPPORT__)) #define BROTLI_INLINE BROTLI_MAYBE_INLINE __attribute__((__always_inline__)) #elif BROTLI_MSVC_VERSION_CHECK(12, 0, 0) #define BROTLI_INLINE BROTLI_MAYBE_INLINE __forceinline #elif BROTLI_TI_VERSION_CHECK(7, 0, 0) && defined(__cplusplus) #define BROTLI_INLINE BROTLI_MAYBE_INLINE _Pragma("FUNC_ALWAYS_INLINE;") #elif BROTLI_IAR_VERSION_CHECK(8, 0, 0) #define BROTLI_INLINE BROTLI_MAYBE_INLINE _Pragma("inline=forced") #else #define BROTLI_INLINE BROTLI_MAYBE_INLINE #endif #if BROTLI_GNUC_HAS_ATTRIBUTE(noinline, 4, 0, 0) || \ BROTLI_INTEL_VERSION_CHECK(16, 0, 0) || \ BROTLI_SUNPRO_VERSION_CHECK(5, 11, 0) || \ BROTLI_ARM_VERSION_CHECK(4, 1, 0) || \ BROTLI_IBM_VERSION_CHECK(10, 1, 0) || \ BROTLI_TI_VERSION_CHECK(8, 0, 0) || \ (BROTLI_TI_VERSION_CHECK(7, 3, 0) && defined(__TI_GNU_ATTRIBUTE_SUPPORT__)) #define BROTLI_NOINLINE __attribute__((__noinline__)) #elif BROTLI_MSVC_VERSION_CHECK(13, 10, 0) #define BROTLI_NOINLINE __declspec(noinline) #elif BROTLI_PGI_VERSION_CHECK(10, 2, 0) #define BROTLI_NOINLINE _Pragma("noinline") #elif BROTLI_TI_VERSION_CHECK(6, 0, 0) && defined(__cplusplus) #define BROTLI_NOINLINE _Pragma("FUNC_CANNOT_INLINE;") #elif BROTLI_IAR_VERSION_CHECK(8, 0, 0) #define BROTLI_NOINLINE _Pragma("inline=never") #else #define BROTLI_NOINLINE #endif /* <<< <<< <<< end of hedley macros. */ #if BROTLI_GNUC_HAS_ATTRIBUTE(unused, 2, 7, 0) || \ BROTLI_INTEL_VERSION_CHECK(16, 0, 0) #define BROTLI_UNUSED_FUNCTION static BROTLI_INLINE __attribute__ ((unused)) #else #define BROTLI_UNUSED_FUNCTION static BROTLI_INLINE #endif #if BROTLI_GNUC_HAS_ATTRIBUTE(aligned, 2, 7, 0) #define BROTLI_ALIGNED(N) __attribute__((aligned(N))) #else #define BROTLI_ALIGNED(N) #endif #if (defined(__ARM_ARCH) && (__ARM_ARCH == 7)) || \ (defined(M_ARM) && (M_ARM == 7)) #define BROTLI_TARGET_ARMV7 #endif /* ARMv7 */ #if (defined(__ARM_ARCH) && (__ARM_ARCH == 8)) || \ defined(__aarch64__) || defined(__ARM64_ARCH_8__) #define BROTLI_TARGET_ARMV8_ANY #if defined(__ARM_32BIT_STATE) #define BROTLI_TARGET_ARMV8_32 #elif defined(__ARM_64BIT_STATE) #define BROTLI_TARGET_ARMV8_64 #endif #endif /* ARMv8 */ #if defined(__ARM_NEON__) || defined(__ARM_NEON) #define BROTLI_TARGET_NEON #endif #if defined(__i386) || defined(_M_IX86) #define BROTLI_TARGET_X86 #endif #if defined(__x86_64__) || defined(_M_X64) #define BROTLI_TARGET_X64 #endif #if defined(__PPC64__) #define BROTLI_TARGET_POWERPC64 #endif #if defined(__riscv) && defined(__riscv_xlen) && __riscv_xlen == 64 #define BROTLI_TARGET_RISCV64 #endif #if defined(__loongarch_lp64) #define BROTLI_TARGET_LOONGARCH64 #endif #if defined(BROTLI_TARGET_X64) || defined(BROTLI_TARGET_ARMV8_64) || \ defined(BROTLI_TARGET_POWERPC64) || defined(BROTLI_TARGET_RISCV64) || \ defined(BROTLI_TARGET_LOONGARCH64) #define BROTLI_TARGET_64_BITS 1 #else #define BROTLI_TARGET_64_BITS 0 #endif #if defined(BROTLI_BUILD_64_BIT) #define BROTLI_64_BITS 1 #elif defined(BROTLI_BUILD_32_BIT) #define BROTLI_64_BITS 0 #else #define BROTLI_64_BITS BROTLI_TARGET_64_BITS #endif #if (BROTLI_64_BITS) #define brotli_reg_t uint64_t #else #define brotli_reg_t uint32_t #endif #if defined(BROTLI_BUILD_BIG_ENDIAN) #define BROTLI_BIG_ENDIAN 1 #elif defined(BROTLI_BUILD_LITTLE_ENDIAN) #define BROTLI_LITTLE_ENDIAN 1 #elif defined(BROTLI_BUILD_ENDIAN_NEUTRAL) /* Just break elif chain. */ #elif defined(__BYTE_ORDER__) && (__BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__) #define BROTLI_LITTLE_ENDIAN 1 #elif defined(_WIN32) || defined(BROTLI_TARGET_X64) /* Win32 & x64 can currently always be assumed to be little endian */ #define BROTLI_LITTLE_ENDIAN 1 #elif defined(__BYTE_ORDER__) && (__BYTE_ORDER__ == __ORDER_BIG_ENDIAN__) #define BROTLI_BIG_ENDIAN 1 #elif defined(BROTLI_X_BYTE_ORDER) #if BROTLI_X_BYTE_ORDER == BROTLI_X_LITTLE_ENDIAN #define BROTLI_LITTLE_ENDIAN 1 #elif BROTLI_X_BYTE_ORDER == BROTLI_X_BIG_ENDIAN #define BROTLI_BIG_ENDIAN 1 #endif #endif /* BROTLI_X_BYTE_ORDER */ #if !defined(BROTLI_LITTLE_ENDIAN) #define BROTLI_LITTLE_ENDIAN 0 #endif #if !defined(BROTLI_BIG_ENDIAN) #define BROTLI_BIG_ENDIAN 0 #endif #if defined(BROTLI_X_BYTE_ORDER) #undef BROTLI_X_BYTE_ORDER #undef BROTLI_X_LITTLE_ENDIAN #undef BROTLI_X_BIG_ENDIAN #endif #if defined(BROTLI_BUILD_NO_UNALIGNED_READ_FAST) #define BROTLI_UNALIGNED_READ_FAST (!!0) #elif defined(BROTLI_TARGET_X86) || defined(BROTLI_TARGET_X64) || \ defined(BROTLI_TARGET_ARMV7) || defined(BROTLI_TARGET_ARMV8_ANY) || \ defined(BROTLI_TARGET_RISCV64) || defined(BROTLI_TARGET_LOONGARCH64) /* These targets are known to generate efficient code for unaligned reads * (e.g. a single instruction, not multiple 1-byte loads, shifted and or'd * together). */ #define BROTLI_UNALIGNED_READ_FAST (!!1) #else #define BROTLI_UNALIGNED_READ_FAST (!!0) #endif /* Portable unaligned memory access: read / write values via memcpy. */ static BROTLI_INLINE uint16_t BrotliUnalignedRead16(const void* p) { uint16_t t; memcpy(&t, p, sizeof t); return t; } static BROTLI_INLINE uint32_t BrotliUnalignedRead32(const void* p) { uint32_t t; memcpy(&t, p, sizeof t); return t; } static BROTLI_INLINE uint64_t BrotliUnalignedRead64(const void* p) { uint64_t t; memcpy(&t, p, sizeof t); return t; } static BROTLI_INLINE void BrotliUnalignedWrite64(void* p, uint64_t v) { memcpy(p, &v, sizeof v); } #if BROTLI_LITTLE_ENDIAN /* Straight endianness. Just read / write values. */ #define BROTLI_UNALIGNED_LOAD16LE BrotliUnalignedRead16 #define BROTLI_UNALIGNED_LOAD32LE BrotliUnalignedRead32 #define BROTLI_UNALIGNED_LOAD64LE BrotliUnalignedRead64 #define BROTLI_UNALIGNED_STORE64LE BrotliUnalignedWrite64 #elif BROTLI_BIG_ENDIAN /* BROTLI_LITTLE_ENDIAN */ /* Explain compiler to byte-swap values. */ #define BROTLI_BSWAP16_(V) ((uint16_t)( \ (((V) & 0xFFU) << 8) | \ (((V) >> 8) & 0xFFU))) static BROTLI_INLINE uint16_t BROTLI_UNALIGNED_LOAD16LE(const void* p) { uint16_t value = BrotliUnalignedRead16(p); return BROTLI_BSWAP16_(value); } #define BROTLI_BSWAP32_(V) ( \ (((V) & 0xFFU) << 24) | (((V) & 0xFF00U) << 8) | \ (((V) >> 8) & 0xFF00U) | (((V) >> 24) & 0xFFU)) static BROTLI_INLINE uint32_t BROTLI_UNALIGNED_LOAD32LE(const void* p) { uint32_t value = BrotliUnalignedRead32(p); return BROTLI_BSWAP32_(value); } #define BROTLI_BSWAP64_(V) ( \ (((V) & 0xFFU) << 56) | (((V) & 0xFF00U) << 40) | \ (((V) & 0xFF0000U) << 24) | (((V) & 0xFF000000U) << 8) | \ (((V) >> 8) & 0xFF000000U) | (((V) >> 24) & 0xFF0000U) | \ (((V) >> 40) & 0xFF00U) | (((V) >> 56) & 0xFFU)) static BROTLI_INLINE uint64_t BROTLI_UNALIGNED_LOAD64LE(const void* p) { uint64_t value = BrotliUnalignedRead64(p); return BROTLI_BSWAP64_(value); } static BROTLI_INLINE void BROTLI_UNALIGNED_STORE64LE(void* p, uint64_t v) { uint64_t value = BROTLI_BSWAP64_(v); BrotliUnalignedWrite64(p, value); } #else /* BROTLI_LITTLE_ENDIAN */ /* Read / store values byte-wise; hopefully compiler will understand. */ static BROTLI_INLINE uint16_t BROTLI_UNALIGNED_LOAD16LE(const void* p) { const uint8_t* in = (const uint8_t*)p; return (uint16_t)(in[0] | (in[1] << 8)); } static BROTLI_INLINE uint32_t BROTLI_UNALIGNED_LOAD32LE(const void* p) { const uint8_t* in = (const uint8_t*)p; uint32_t value = (uint32_t)(in[0]); value |= (uint32_t)(in[1]) << 8; value |= (uint32_t)(in[2]) << 16; value |= (uint32_t)(in[3]) << 24; return value; } static BROTLI_INLINE uint64_t BROTLI_UNALIGNED_LOAD64LE(const void* p) { const uint8_t* in = (const uint8_t*)p; uint64_t value = (uint64_t)(in[0]); value |= (uint64_t)(in[1]) << 8; value |= (uint64_t)(in[2]) << 16; value |= (uint64_t)(in[3]) << 24; value |= (uint64_t)(in[4]) << 32; value |= (uint64_t)(in[5]) << 40; value |= (uint64_t)(in[6]) << 48; value |= (uint64_t)(in[7]) << 56; return value; } static BROTLI_INLINE void BROTLI_UNALIGNED_STORE64LE(void* p, uint64_t v) { uint8_t* out = (uint8_t*)p; out[0] = (uint8_t)v; out[1] = (uint8_t)(v >> 8); out[2] = (uint8_t)(v >> 16); out[3] = (uint8_t)(v >> 24); out[4] = (uint8_t)(v >> 32); out[5] = (uint8_t)(v >> 40); out[6] = (uint8_t)(v >> 48); out[7] = (uint8_t)(v >> 56); } #endif /* BROTLI_LITTLE_ENDIAN */ static BROTLI_INLINE void* BROTLI_UNALIGNED_LOAD_PTR(const void* p) { void* v; memcpy(&v, p, sizeof(void*)); return v; } static BROTLI_INLINE void BROTLI_UNALIGNED_STORE_PTR(void* p, const void* v) { memcpy(p, &v, sizeof(void*)); } /* BROTLI_IS_CONSTANT macros returns true for compile-time constants. */ #if BROTLI_GNUC_HAS_BUILTIN(__builtin_constant_p, 3, 0, 1) || \ BROTLI_INTEL_VERSION_CHECK(16, 0, 0) #define BROTLI_IS_CONSTANT(x) (!!__builtin_constant_p(x)) #else #define BROTLI_IS_CONSTANT(x) (!!0) #endif #if defined(BROTLI_TARGET_ARMV7) || defined(BROTLI_TARGET_ARMV8_ANY) #define BROTLI_HAS_UBFX (!!1) #else #define BROTLI_HAS_UBFX (!!0) #endif #if defined(BROTLI_ENABLE_LOG) #define BROTLI_LOG(x) printf x #else #define BROTLI_LOG(x) #endif #if defined(BROTLI_DEBUG) || defined(BROTLI_ENABLE_LOG) #define BROTLI_ENABLE_DUMP_DEFAULT 1 #define BROTLI_DCHECK(x) assert(x) #else #define BROTLI_ENABLE_DUMP_DEFAULT 0 #define BROTLI_DCHECK(x) #endif #if !defined(BROTLI_ENABLE_DUMP) #define BROTLI_ENABLE_DUMP BROTLI_ENABLE_DUMP_DEFAULT #endif #if BROTLI_ENABLE_DUMP static BROTLI_INLINE void BrotliDump(const char* f, int l, const char* fn) { fprintf(stderr, "%s:%d (%s)\n", f, l, fn); fflush(stderr); } #define BROTLI_DUMP() BrotliDump(__FILE__, __LINE__, __FUNCTION__) #else #define BROTLI_DUMP() (void)(0) #endif /* BrotliRBit assumes brotli_reg_t fits native CPU register type. */ #if (BROTLI_64_BITS == BROTLI_TARGET_64_BITS) /* TODO(eustas): add appropriate icc/sunpro/arm/ibm/ti checks. */ #if (BROTLI_GNUC_VERSION_CHECK(3, 0, 0) || defined(__llvm__)) && \ !defined(BROTLI_BUILD_NO_RBIT) #if defined(BROTLI_TARGET_ARMV7) || defined(BROTLI_TARGET_ARMV8_ANY) /* TODO(eustas): detect ARMv6T2 and enable this code for it. */ static BROTLI_INLINE brotli_reg_t BrotliRBit(brotli_reg_t input) { brotli_reg_t output; __asm__("rbit %0, %1\n" : "=r"(output) : "r"(input)); return output; } #define BROTLI_RBIT(x) BrotliRBit(x) #endif /* armv7 / armv8 */ #endif /* gcc || clang */ #endif /* brotli_reg_t is native */ #if !defined(BROTLI_RBIT) static BROTLI_INLINE void BrotliRBit(void) { /* Should break build if used. */ } #endif /* BROTLI_RBIT */ #define BROTLI_REPEAT_4(X) {X; X; X; X;} #define BROTLI_REPEAT_5(X) {X; X; X; X; X;} #define BROTLI_REPEAT_6(X) {X; X; X; X; X; X;} #define BROTLI_UNUSED(X) (void)(X) #define BROTLI_MIN_MAX(T) \ static BROTLI_INLINE T brotli_min_ ## T (T a, T b) { return a < b ? a : b; } \ static BROTLI_INLINE T brotli_max_ ## T (T a, T b) { return a > b ? a : b; } BROTLI_MIN_MAX(double) BROTLI_MIN_MAX(float) BROTLI_MIN_MAX(int) BROTLI_MIN_MAX(size_t) BROTLI_MIN_MAX(uint32_t) BROTLI_MIN_MAX(uint8_t) #undef BROTLI_MIN_MAX #define BROTLI_MIN(T, A, B) (brotli_min_ ## T((A), (B))) #define BROTLI_MAX(T, A, B) (brotli_max_ ## T((A), (B))) #define BROTLI_SWAP(T, A, I, J) { \ T __brotli_swap_tmp = (A)[(I)]; \ (A)[(I)] = (A)[(J)]; \ (A)[(J)] = __brotli_swap_tmp; \ } #if BROTLI_64_BITS #if BROTLI_GNUC_HAS_BUILTIN(__builtin_ctzll, 3, 4, 0) || \ BROTLI_INTEL_VERSION_CHECK(16, 0, 0) #define BROTLI_TZCNT64 __builtin_ctzll #elif BROTLI_MSVC_VERSION_CHECK(18, 0, 0) #if defined(BROTLI_TARGET_X64) #define BROTLI_TZCNT64 _tzcnt_u64 #else /* BROTLI_TARGET_X64 */ static BROTLI_INLINE uint32_t BrotliBsf64Msvc(uint64_t x) { uint32_t lsb; _BitScanForward64(&lsb, x); return lsb; } #define BROTLI_TZCNT64 BrotliBsf64Msvc #endif /* BROTLI_TARGET_X64 */ #endif /* __builtin_ctzll */ #endif /* BROTLI_64_BITS */ #if BROTLI_GNUC_HAS_BUILTIN(__builtin_clz, 3, 4, 0) || \ BROTLI_INTEL_VERSION_CHECK(16, 0, 0) #define BROTLI_BSR32(x) (31u ^ (uint32_t)__builtin_clz(x)) #elif BROTLI_MSVC_VERSION_CHECK(18, 0, 0) static BROTLI_INLINE uint32_t BrotliBsr32Msvc(uint32_t x) { unsigned long msb; _BitScanReverse(&msb, x); return (uint32_t)msb; } #define BROTLI_BSR32 BrotliBsr32Msvc #endif /* __builtin_clz */ /* Default brotli_alloc_func */ BROTLI_COMMON_API void* BrotliDefaultAllocFunc(void* opaque, size_t size); /* Default brotli_free_func */ BROTLI_COMMON_API void BrotliDefaultFreeFunc(void* opaque, void* address); BROTLI_UNUSED_FUNCTION void BrotliSuppressUnusedFunctions(void) { BROTLI_UNUSED(&BrotliSuppressUnusedFunctions); BROTLI_UNUSED(&BrotliUnalignedRead16); BROTLI_UNUSED(&BrotliUnalignedRead32); BROTLI_UNUSED(&BrotliUnalignedRead64); BROTLI_UNUSED(&BrotliUnalignedWrite64); BROTLI_UNUSED(&BROTLI_UNALIGNED_LOAD16LE); BROTLI_UNUSED(&BROTLI_UNALIGNED_LOAD32LE); BROTLI_UNUSED(&BROTLI_UNALIGNED_LOAD64LE); BROTLI_UNUSED(&BROTLI_UNALIGNED_STORE64LE); BROTLI_UNUSED(&BROTLI_UNALIGNED_LOAD_PTR); BROTLI_UNUSED(&BROTLI_UNALIGNED_STORE_PTR); BROTLI_UNUSED(&BrotliRBit); BROTLI_UNUSED(&brotli_min_double); BROTLI_UNUSED(&brotli_max_double); BROTLI_UNUSED(&brotli_min_float); BROTLI_UNUSED(&brotli_max_float); BROTLI_UNUSED(&brotli_min_int); BROTLI_UNUSED(&brotli_max_int); BROTLI_UNUSED(&brotli_min_size_t); BROTLI_UNUSED(&brotli_max_size_t); BROTLI_UNUSED(&brotli_min_uint32_t); BROTLI_UNUSED(&brotli_max_uint32_t); BROTLI_UNUSED(&brotli_min_uint8_t); BROTLI_UNUSED(&brotli_max_uint8_t); BROTLI_UNUSED(&BrotliDefaultAllocFunc); BROTLI_UNUSED(&BrotliDefaultFreeFunc); #if BROTLI_ENABLE_DUMP BROTLI_UNUSED(&BrotliDump); #endif } #endif /* BROTLI_COMMON_PLATFORM_H_ */ IO-Compress-Brotli-0.019/brotli/c/common/transform.h0000644000175000017500000000621114606651213020415 0ustar timtim/* transforms is a part of ABI, but not API. It means that there are some functions that are supposed to be in "common" library, but header itself is not placed into include/brotli. This way, aforementioned functions will be available only to brotli internals. */ #ifndef BROTLI_COMMON_TRANSFORM_H_ #define BROTLI_COMMON_TRANSFORM_H_ #include #include #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif enum BrotliWordTransformType { BROTLI_TRANSFORM_IDENTITY = 0, BROTLI_TRANSFORM_OMIT_LAST_1 = 1, BROTLI_TRANSFORM_OMIT_LAST_2 = 2, BROTLI_TRANSFORM_OMIT_LAST_3 = 3, BROTLI_TRANSFORM_OMIT_LAST_4 = 4, BROTLI_TRANSFORM_OMIT_LAST_5 = 5, BROTLI_TRANSFORM_OMIT_LAST_6 = 6, BROTLI_TRANSFORM_OMIT_LAST_7 = 7, BROTLI_TRANSFORM_OMIT_LAST_8 = 8, BROTLI_TRANSFORM_OMIT_LAST_9 = 9, BROTLI_TRANSFORM_UPPERCASE_FIRST = 10, BROTLI_TRANSFORM_UPPERCASE_ALL = 11, BROTLI_TRANSFORM_OMIT_FIRST_1 = 12, BROTLI_TRANSFORM_OMIT_FIRST_2 = 13, BROTLI_TRANSFORM_OMIT_FIRST_3 = 14, BROTLI_TRANSFORM_OMIT_FIRST_4 = 15, BROTLI_TRANSFORM_OMIT_FIRST_5 = 16, BROTLI_TRANSFORM_OMIT_FIRST_6 = 17, BROTLI_TRANSFORM_OMIT_FIRST_7 = 18, BROTLI_TRANSFORM_OMIT_FIRST_8 = 19, BROTLI_TRANSFORM_OMIT_FIRST_9 = 20, BROTLI_TRANSFORM_SHIFT_FIRST = 21, BROTLI_TRANSFORM_SHIFT_ALL = 22, BROTLI_NUM_TRANSFORM_TYPES /* Counts transforms, not a transform itself. */ }; #define BROTLI_TRANSFORMS_MAX_CUT_OFF BROTLI_TRANSFORM_OMIT_LAST_9 typedef struct BrotliTransforms { uint16_t prefix_suffix_size; /* Last character must be null, so prefix_suffix_size must be at least 1. */ const uint8_t* prefix_suffix; const uint16_t* prefix_suffix_map; uint32_t num_transforms; /* Each entry is a [prefix_id, transform, suffix_id] triplet. */ const uint8_t* transforms; /* Shift for BROTLI_TRANSFORM_SHIFT_FIRST and BROTLI_TRANSFORM_SHIFT_ALL, must be NULL if and only if no such transforms are present. */ const uint8_t* params; /* Indices of transforms like ["", BROTLI_TRANSFORM_OMIT_LAST_#, ""]. 0-th element corresponds to ["", BROTLI_TRANSFORM_IDENTITY, ""]. -1, if cut-off transform does not exist. */ int16_t cutOffTransforms[BROTLI_TRANSFORMS_MAX_CUT_OFF + 1]; } BrotliTransforms; /* T is BrotliTransforms*; result is uint8_t. */ #define BROTLI_TRANSFORM_PREFIX_ID(T, I) ((T)->transforms[((I) * 3) + 0]) #define BROTLI_TRANSFORM_TYPE(T, I) ((T)->transforms[((I) * 3) + 1]) #define BROTLI_TRANSFORM_SUFFIX_ID(T, I) ((T)->transforms[((I) * 3) + 2]) /* T is BrotliTransforms*; result is const uint8_t*. */ #define BROTLI_TRANSFORM_PREFIX(T, I) (&(T)->prefix_suffix[ \ (T)->prefix_suffix_map[BROTLI_TRANSFORM_PREFIX_ID(T, I)]]) #define BROTLI_TRANSFORM_SUFFIX(T, I) (&(T)->prefix_suffix[ \ (T)->prefix_suffix_map[BROTLI_TRANSFORM_SUFFIX_ID(T, I)]]) BROTLI_COMMON_API const BrotliTransforms* BrotliGetTransforms(void); BROTLI_COMMON_API int BrotliTransformDictionaryWord( uint8_t* dst, const uint8_t* word, int len, const BrotliTransforms* transforms, int transform_idx); #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif #endif /* BROTLI_COMMON_TRANSFORM_H_ */ IO-Compress-Brotli-0.019/brotli/c/common/transform.c0000644000175000017500000002466514606651213020425 0ustar timtim/* Copyright 2013 Google Inc. All Rights Reserved. Distributed under MIT license. See file LICENSE for detail or copy at https://opensource.org/licenses/MIT */ #include "transform.h" #if defined(__cplusplus) || defined(c_plusplus) extern "C" { #endif /* RFC 7932 transforms string data */ static const char kPrefixSuffix[217] = "\1 \2, \10 of the \4 of \2s \1.\5 and \4 " /* 0x _0 _2 __5 _E _3 _6 _8 _E */ "in \1\"\4 to \2\">\1\n\2. \1]\5 for \3 a \6 " /* 2x _3_ _5 _A_ _D_ _F _2 _4 _A _E */ "that \1\'\6 with \6 from \4 by \1(\6. T" /* 4x _5_ _7 _E _5 _A _C */ "he \4 on \4 as \4 is \4ing \2\n\t\1:\3ed " /* 6x _3 _8 _D _2 _7_ _ _A _C */ "\2=\"\4 at \3ly \1,\2=\'\5.com/\7. This \5" /* 8x _0 _ _3 _8 _C _E _ _1 _7 _F */ " not \3er \3al \4ful \4ive \5less \4es" /* Ax _5 _9 _D _2 _7 _D */ "t \4ize \2\xc2\xa0\4ous \5 the \2e "; /* \0 - implicit trailing zero. */ /* Cx _2 _7___ ___ _A _F _5 _8 */ static const uint16_t kPrefixSuffixMap[50] = { 0x00, 0x02, 0x05, 0x0E, 0x13, 0x16, 0x18, 0x1E, 0x23, 0x25, 0x2A, 0x2D, 0x2F, 0x32, 0x34, 0x3A, 0x3E, 0x45, 0x47, 0x4E, 0x55, 0x5A, 0x5C, 0x63, 0x68, 0x6D, 0x72, 0x77, 0x7A, 0x7C, 0x80, 0x83, 0x88, 0x8C, 0x8E, 0x91, 0x97, 0x9F, 0xA5, 0xA9, 0xAD, 0xB2, 0xB7, 0xBD, 0xC2, 0xC7, 0xCA, 0xCF, 0xD5, 0xD8 }; /* RFC 7932 transforms */ static const uint8_t kTransformsData[] = { 49, BROTLI_TRANSFORM_IDENTITY, 49, 49, BROTLI_TRANSFORM_IDENTITY, 0, 0, BROTLI_TRANSFORM_IDENTITY, 0, 49, BROTLI_TRANSFORM_OMIT_FIRST_1, 49, 49, BROTLI_TRANSFORM_UPPERCASE_FIRST, 0, 49, BROTLI_TRANSFORM_IDENTITY, 47, 0, BROTLI_TRANSFORM_IDENTITY, 49, 4, BROTLI_TRANSFORM_IDENTITY, 0, 49, BROTLI_TRANSFORM_IDENTITY, 3, 49, BROTLI_TRANSFORM_UPPERCASE_FIRST, 49, 49, BROTLI_TRANSFORM_IDENTITY, 6, 49, BROTLI_TRANSFORM_OMIT_FIRST_2, 49, 49, BROTLI_TRANSFORM_OMIT_LAST_1, 49, 1, BROTLI_TRANSFORM_IDENTITY, 0, 49, BROTLI_TRANSFORM_IDENTITY, 1, 0, BROTLI_TRANSFORM_UPPERCASE_FIRST, 0, 49, BROTLI_TRANSFORM_IDENTITY, 7, 49, BROTLI_TRANSFORM_IDENTITY, 9, 48, BROTLI_TRANSFORM_IDENTITY, 0, 49, BROTLI_TRANSFORM_IDENTITY, 8, 49, BROTLI_TRANSFORM_IDENTITY, 5, 49, BROTLI_TRANSFORM_IDENTITY, 10, 49, BROTLI_TRANSFORM_IDENTITY, 11, 49, BROTLI_TRANSFORM_OMIT_LAST_3, 49, 49, BROTLI_TRANSFORM_IDENTITY, 13, 49, BROTLI_TRANSFORM_IDENTITY, 14, 49, BROTLI_TRANSFORM_OMIT_FIRST_3, 49, 49, BROTLI_TRANSFORM_OMIT_LAST_2, 49, 49, BROTLI_TRANSFORM_IDENTITY, 15, 49, BROTLI_TRANSFORM_IDENTITY, 16, 0, BROTLI_TRANSFORM_UPPERCASE_FIRST, 49, 49, BROTLI_TRANSFORM_IDENTITY, 12, 5, BROTLI_TRANSFORM_IDENTITY, 49, 0, BROTLI_TRANSFORM_IDENTITY, 1, 49, BROTLI_TRANSFORM_OMIT_FIRST_4, 49, 49, BROTLI_TRANSFORM_IDENTITY, 18, 49, BROTLI_TRANSFORM_IDENTITY, 17, 49, BROTLI_TRANSFORM_IDENTITY, 19, 49, BROTLI_TRANSFORM_IDENTITY, 20, 49, BROTLI_TRANSFORM_OMIT_FIRST_5, 49, 49, BROTLI_TRANSFORM_OMIT_FIRST_6, 49, 47, BROTLI_TRANSFORM_IDENTITY, 49, 49, BROTLI_TRANSFORM_OMIT_LAST_4, 49, 49, BROTLI_TRANSFORM_IDENTITY, 22, 49, BROTLI_TRANSFORM_UPPERCASE_ALL, 49, 49, BROTLI_TRANSFORM_IDENTITY, 23, 49, BROTLI_TRANSFORM_IDENTITY, 24, 49, BROTLI_TRANSFORM_IDENTITY, 25, 49, BROTLI_TRANSFORM_OMIT_LAST_7, 49, 49, BROTLI_TRANSFORM_OMIT_LAST_1, 26, 49, BROTLI_TRANSFORM_IDENTITY, 27, 49, BROTLI_TRANSFORM_IDENTITY, 28, 0, BROTLI_TRANSFORM_IDENTITY, 12, 49, BROTLI_TRANSFORM_IDENTITY, 29, 49, BROTLI_TRANSFORM_OMIT_FIRST_9, 49, 49, BROTLI_TRANSFORM_OMIT_FIRST_7, 49, 49, BROTLI_TRANSFORM_OMIT_LAST_6, 49, 49, BROTLI_TRANSFORM_IDENTITY, 21, 49, BROTLI_TRANSFORM_UPPERCASE_FIRST, 1, 49, BROTLI_TRANSFORM_OMIT_LAST_8, 49, 49, BROTLI_TRANSFORM_IDENTITY, 31, 49, BROTLI_TRANSFORM_IDENTITY, 32, 47, BROTLI_TRANSFORM_IDENTITY, 3, 49, BROTLI_TRANSFORM_OMIT_LAST_5, 49, 49, BROTLI_TRANSFORM_OMIT_LAST_9, 49, 0, BROTLI_TRANSFORM_UPPERCASE_FIRST, 1, 49, BROTLI_TRANSFORM_UPPERCASE_FIRST, 8, 5, BROTLI_TRANSFORM_IDENTITY, 21, 49, BROTLI_TRANSFORM_UPPERCASE_ALL, 0, 49, BROTLI_TRANSFORM_UPPERCASE_FIRST, 10, 49, BROTLI_TRANSFORM_IDENTITY, 30, 0, BROTLI_TRANSFORM_IDENTITY, 5, 35, BROTLI_TRANSFORM_IDENTITY, 49, 47, BROTLI_TRANSFORM_IDENTITY, 2, 49, BROTLI_TRANSFORM_UPPERCASE_FIRST, 17, 49, BROTLI_TRANSFORM_IDENTITY, 36, 49, BROTLI_TRANSFORM_IDENTITY, 33, 5, BROTLI_TRANSFORM_IDENTITY, 0, 49, BROTLI_TRANSFORM_UPPERCASE_FIRST, 21, 49, BROTLI_TRANSFORM_UPPERCASE_FIRST, 5, 49, BROTLI_TRANSFORM_IDENTITY, 37, 0, BROTLI_TRANSFORM_IDENTITY, 30, 49, BROTLI_TRANSFORM_IDENTITY, 38, 0, BROTLI_TRANSFORM_UPPERCASE_ALL, 0, 49, BROTLI_TRANSFORM_IDENTITY, 39, 0, BROTLI_TRANSFORM_UPPERCASE_ALL, 49, 49, BROTLI_TRANSFORM_IDENTITY, 34, 49, BROTLI_TRANSFORM_UPPERCASE_ALL, 8, 49, BROTLI_TRANSFORM_UPPERCASE_FIRST, 12, 0, BROTLI_TRANSFORM_IDENTITY, 21, 49, BROTLI_TRANSFORM_IDENTITY, 40, 0, BROTLI_TRANSFORM_UPPERCASE_FIRST, 12, 49, BROTLI_TRANSFORM_IDENTITY, 41, 49, BROTLI_TRANSFORM_IDENTITY, 42, 49, BROTLI_TRANSFORM_UPPERCASE_ALL, 17, 49, BROTLI_TRANSFORM_IDENTITY, 43, 0, BROTLI_TRANSFORM_UPPERCASE_FIRST, 5, 49, BROTLI_TRANSFORM_UPPERCASE_ALL, 10, 0, BROTLI_TRANSFORM_IDENTITY, 34, 49, BROTLI_TRANSFORM_UPPERCASE_FIRST, 33, 49, BROTLI_TRANSFORM_IDENTITY, 44, 49, BROTLI_TRANSFORM_UPPERCASE_ALL, 5, 45, BROTLI_TRANSFORM_IDENTITY, 49, 0, BROTLI_TRANSFORM_IDENTITY, 33, 49, BROTLI_TRANSFORM_UPPERCASE_FIRST, 30, 49, BROTLI_TRANSFORM_UPPERCASE_ALL, 30, 49, BROTLI_TRANSFORM_IDENTITY, 46, 49, BROTLI_TRANSFORM_UPPERCASE_ALL, 1, 49, BROTLI_TRANSFORM_UPPERCASE_FIRST, 34, 0, BROTLI_TRANSFORM_UPPERCASE_FIRST, 33, 0, BROTLI_TRANSFORM_UPPERCASE_ALL, 30, 0, BROTLI_TRANSFORM_UPPERCASE_ALL, 1, 49, BROTLI_TRANSFORM_UPPERCASE_ALL, 33, 49, BROTLI_TRANSFORM_UPPERCASE_ALL, 21, 49, BROTLI_TRANSFORM_UPPERCASE_ALL, 12, 0, BROTLI_TRANSFORM_UPPERCASE_ALL, 5, 49, BROTLI_TRANSFORM_UPPERCASE_ALL, 34, 0, BROTLI_TRANSFORM_UPPERCASE_ALL, 12, 0, BROTLI_TRANSFORM_UPPERCASE_FIRST, 30, 0, BROTLI_TRANSFORM_UPPERCASE_ALL, 34, 0, BROTLI_TRANSFORM_UPPERCASE_FIRST, 34, }; static const BrotliTransforms kBrotliTransforms = { sizeof(kPrefixSuffix), (const uint8_t*)kPrefixSuffix, kPrefixSuffixMap, sizeof(kTransformsData) / (3 * sizeof(kTransformsData[0])), kTransformsData, NULL, /* no extra parameters */ {0, 12, 27, 23, 42, 63, 56, 48, 59, 64} }; const BrotliTransforms* BrotliGetTransforms(void) { return &kBrotliTransforms; } static int ToUpperCase(uint8_t* p) { if (p[0] < 0xC0) { if (p[0] >= 'a' && p[0] <= 'z') { p[0] ^= 32; } return 1; } /* An overly simplified uppercasing model for UTF-8. */ if (p[0] < 0xE0) { p[1] ^= 32; return 2; } /* An arbitrary transform for three byte characters. */ p[2] ^= 5; return 3; } static int Shift(uint8_t* word, int word_len, uint16_t parameter) { /* Limited sign extension: scalar < (1 << 24). */ uint32_t scalar = (parameter & 0x7FFFu) + (0x1000000u - (parameter & 0x8000u)); if (word[0] < 0x80) { /* 1-byte rune / 0sssssss / 7 bit scalar (ASCII). */ scalar += (uint32_t)word[0]; word[0] = (uint8_t)(scalar & 0x7Fu); return 1; } else if (word[0] < 0xC0) { /* Continuation / 10AAAAAA. */ return 1; } else if (word[0] < 0xE0) { /* 2-byte rune / 110sssss AAssssss / 11 bit scalar. */ if (word_len < 2) return 1; scalar += (uint32_t)((word[1] & 0x3Fu) | ((word[0] & 0x1Fu) << 6u)); word[0] = (uint8_t)(0xC0 | ((scalar >> 6u) & 0x1F)); word[1] = (uint8_t)((word[1] & 0xC0) | (scalar & 0x3F)); return 2; } else if (word[0] < 0xF0) { /* 3-byte rune / 1110ssss AAssssss BBssssss / 16 bit scalar. */ if (word_len < 3) return word_len; scalar += (uint32_t)((word[2] & 0x3Fu) | ((word[1] & 0x3Fu) << 6u) | ((word[0] & 0x0Fu) << 12u)); word[0] = (uint8_t)(0xE0 | ((scalar >> 12u) & 0x0F)); word[1] = (uint8_t)((word[1] & 0xC0) | ((scalar >> 6u) & 0x3F)); word[2] = (uint8_t)((word[2] & 0xC0) | (scalar & 0x3F)); return 3; } else if (word[0] < 0xF8) { /* 4-byte rune / 11110sss AAssssss BBssssss CCssssss / 21 bit scalar. */ if (word_len < 4) return word_len; scalar += (uint32_t)((word[3] & 0x3Fu) | ((word[2] & 0x3Fu) << 6u) | ((word[1] & 0x3Fu) << 12u) | ((word[0] & 0x07u) << 18u)); word[0] = (uint8_t)(0xF0 | ((scalar >> 18u) & 0x07)); word[1] = (uint8_t)((word[1] & 0xC0) | ((scalar >> 12u) & 0x3F)); word[2] = (uint8_t)((word[2] & 0xC0) | ((scalar >> 6u) & 0x3F)); word[3] = (uint8_t)((word[3] & 0xC0) | (scalar & 0x3F)); return 4; } return 1; } int BrotliTransformDictionaryWord(uint8_t* dst, const uint8_t* word, int len, const BrotliTransforms* transforms, int transform_idx) { int idx = 0; const uint8_t* prefix = BROTLI_TRANSFORM_PREFIX(transforms, transform_idx); uint8_t type = BROTLI_TRANSFORM_TYPE(transforms, transform_idx); const uint8_t* suffix = BROTLI_TRANSFORM_SUFFIX(transforms, transform_idx); { int prefix_len = *prefix++; while (prefix_len--) { dst[idx++] = *prefix++; } } { const int t = type; int i = 0; if (t <= BROTLI_TRANSFORM_OMIT_LAST_9) { len -= t; } else if (t >= BROTLI_TRANSFORM_OMIT_FIRST_1 && t <= BROTLI_TRANSFORM_OMIT_FIRST_9) { int skip = t - (BROTLI_TRANSFORM_OMIT_FIRST_1 - 1); word += skip; len -= skip; } while (i < len) { dst[idx++] = word[i++]; } if (t == BROTLI_TRANSFORM_UPPERCASE_FIRST) { ToUpperCase(&dst[idx - len]); } else if (t == BROTLI_TRANSFORM_UPPERCASE_ALL) { uint8_t* uppercase = &dst[idx - len]; while (len > 0) { int step = ToUpperCase(uppercase); uppercase += step; len -= step; } } else if (t == BROTLI_TRANSFORM_SHIFT_FIRST) { uint16_t param = (uint16_t)(transforms->params[transform_idx * 2] + (transforms->params[transform_idx * 2 + 1] << 8u)); Shift(&dst[idx - len], len, param); } else if (t == BROTLI_TRANSFORM_SHIFT_ALL) { uint16_t param = (uint16_t)(transforms->params[transform_idx * 2] + (transforms->params[transform_idx * 2 + 1] << 8u)); uint8_t* shift = &dst[idx - len]; while (len > 0) { int step = Shift(shift, len, param); shift += step; len -= step; } } } { int suffix_len = *suffix++; while (suffix_len--) { dst[idx++] = *suffix++; } return idx; } } #if defined(__cplusplus) || defined(c_plusplus) } /* extern "C" */ #endif IO-Compress-Brotli-0.019/brotli/c/common/dictionary.bin0000644000175000017500000035764014606651213021107 0ustar timtimtimedownlifeleftbackcodedatashowonlysitecityopenjustlikefreeworktextyearoverbodyloveformbookplaylivelinehelphomesidemorewordlongthemviewfindpagedaysfullheadtermeachareafromtruemarkableuponhighdatelandnewsevennextcasebothpostusedmadehandherewhatnameLinkblogsizebaseheldmakemainuser') 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