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skia / external / github.com / BinomialLLC / basis_universal / 46a441a4a24b10ed3d3c1ab84407f73e3b529d4c / . / contrib / previewers / lib / basisu_transcoder.cpp
blob: c5652e0259b8f27526e1c2dac380a1df3be33f20 [file] [log] [blame]
/**
* Basis Universal single file library. Generated using:
* \code
* ./combine.sh -r ../../transcoder -x basisu_transcoder_tables_bc7_m6.inc -k basisu_transcoder.h -o basisu_transcoder.cpp basisu_transcoder-in.cpp
* \endcode
*
* \note The script above excludes the BC7 mode 6 tables, a choice reflected in
* the build options.
*/
/*
* Transcoder build options for known platforms (iOS has ETC, ASTC and PVRTC;
* Emscripten adds DXT to iOS's options; Android adds PVRTC2 to Emscripten's
* options; other platforms build all except BC7 mode 6 and FXT1).
*
* See https://github.com/BinomialLLC/basis_universal#shrinking-the-transcoders-compiled-size
*/
#ifdef __APPLE__
#include <TargetConditionals.h>
#endif
#if TARGET_OS_IPHONE
#define BASISD_SUPPORT_DXT1 0
#define BASISD_SUPPORT_DXT5A 0
#endif
#if TARGET_OS_IPHONE || defined(__EMSCRIPTEN__) || defined(__ANDROID__)
#define BASISD_SUPPORT_BC7 0
#define BASISD_SUPPORT_ATC 0
#ifndef __ANDROID__
#define BASISD_SUPPORT_PVRTC2 0
#endif
#else
#define BASISD_SUPPORT_BC7_MODE6_OPAQUE_ONLY 0
#endif
#define BASISD_SUPPORT_FXT1 0
/**** start inlining basisu_transcoder.cpp ****/
// basisu_transcoder.cpp
// Copyright (C) 2019-2020 Binomial LLC. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
/**** *NOT* inlining basisu_transcoder.h ****/
#include "basisu_transcoder.h"
#include <limits.h>
#include <vector>
#ifndef IS_BIG_ENDIAN
// TODO: This doesn't work on OSX. How can this be so difficult?
//#if defined(__BIG_ENDIAN__) || defined(_BIG_ENDIAN) || defined(BIG_ENDIAN)
// #define IS_BIG_ENDIAN (1)
//#else
#define IS_BIG_ENDIAN (0)
//#endif
#endif
#ifndef USE_UNALIGNED_WORD_READS
#define USE_UNALIGNED_WORD_READS (1)
#endif
#define BASISD_SUPPORTED_BASIS_VERSION (0x13)
// Set to 1 for fuzz testing. This will disable all CRC16 checks on headers and compressed data.
#ifndef BASISU_NO_HEADER_OR_DATA_CRC16_CHECKS
#define BASISU_NO_HEADER_OR_DATA_CRC16_CHECKS 0
#endif
#ifndef BASISD_SUPPORT_DXT1
#define BASISD_SUPPORT_DXT1 1
#endif
#ifndef BASISD_SUPPORT_DXT5A
#define BASISD_SUPPORT_DXT5A 1
#endif
// Disable all BC7 transcoders if necessary (useful when cross compiling to Javascript)
#if defined(BASISD_SUPPORT_BC7) && !BASISD_SUPPORT_BC7
#ifndef BASISD_SUPPORT_BC7_MODE5
#define BASISD_SUPPORT_BC7_MODE5 0
#endif
#endif // !BASISD_SUPPORT_BC7
// BC7 mode 5 supports both opaque and opaque+alpha textures, and uses less memory BC1.
#ifndef BASISD_SUPPORT_BC7_MODE5
#define BASISD_SUPPORT_BC7_MODE5 1
#endif
#ifndef BASISD_SUPPORT_PVRTC1
#define BASISD_SUPPORT_PVRTC1 1
#endif
#ifndef BASISD_SUPPORT_ETC2_EAC_A8
#define BASISD_SUPPORT_ETC2_EAC_A8 1
#endif
// Set BASISD_SUPPORT_UASTC to 0 to completely disable support for transcoding UASTC files.
#ifndef BASISD_SUPPORT_UASTC
#define BASISD_SUPPORT_UASTC 1
#endif
#ifndef BASISD_SUPPORT_ASTC
#define BASISD_SUPPORT_ASTC 1
#endif
// Note that if BASISD_SUPPORT_ATC is enabled, BASISD_SUPPORT_DXT5A should also be enabled for alpha support.
#ifndef BASISD_SUPPORT_ATC
#define BASISD_SUPPORT_ATC 1
#endif
// Support for ETC2 EAC R11 and ETC2 EAC RG11
#ifndef BASISD_SUPPORT_ETC2_EAC_RG11
#define BASISD_SUPPORT_ETC2_EAC_RG11 1
#endif
// If BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY is 1, opaque blocks will be transcoded to ASTC at slightly higher quality (higher than BC1), but the transcoder tables will be 2x as large.
// This impacts grayscale and grayscale+alpha textures the most.
#ifndef BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
#ifdef __EMSCRIPTEN__
// Let's assume size matters more than quality when compiling with emscripten.
#define BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY 0
#else
// Compiling native, so an extra 64K lookup table is probably acceptable.
#define BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY 1
#endif
#endif
#ifndef BASISD_SUPPORT_FXT1
#define BASISD_SUPPORT_FXT1 1
#endif
#ifndef BASISD_SUPPORT_PVRTC2
#define BASISD_SUPPORT_PVRTC2 1
#endif
#if BASISD_SUPPORT_PVRTC2
#if !BASISD_SUPPORT_ATC
#error BASISD_SUPPORT_ATC must be 1 if BASISD_SUPPORT_PVRTC2 is 1
#endif
#endif
#if BASISD_SUPPORT_ATC
#if !BASISD_SUPPORT_DXT5A
#error BASISD_SUPPORT_DXT5A must be 1 if BASISD_SUPPORT_ATC is 1
#endif
#endif
#define BASISD_WRITE_NEW_BC7_MODE5_TABLES 0
#define BASISD_WRITE_NEW_DXT1_TABLES 0
#define BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES 0
#define BASISD_WRITE_NEW_ASTC_TABLES 0
#define BASISD_WRITE_NEW_ATC_TABLES 0
#define BASISD_WRITE_NEW_ETC2_EAC_R11_TABLES 0
#ifndef BASISD_ENABLE_DEBUG_FLAGS
#define BASISD_ENABLE_DEBUG_FLAGS 0
#endif
namespace basisu
{
bool g_debug_printf;
void enable_debug_printf(bool enabled)
{
g_debug_printf = enabled;
}
void debug_printf(const char* pFmt, ...)
{
#if BASISU_FORCE_DEVEL_MESSAGES
g_debug_printf = true;
#endif
if (g_debug_printf)
{
va_list args;
va_start(args, pFmt);
vprintf(pFmt, args);
va_end(args);
}
}
} // namespace basisu
namespace basist
{
#if BASISD_ENABLE_DEBUG_FLAGS
static uint32_t g_debug_flags = 0;
#endif
uint32_t get_debug_flags()
{
#if BASISD_ENABLE_DEBUG_FLAGS
return g_debug_flags;
#else
return 0;
#endif
}
void set_debug_flags(uint32_t f)
{
BASISU_NOTE_UNUSED(f);
#if BASISD_ENABLE_DEBUG_FLAGS
g_debug_flags = f;
#endif
}
inline uint16_t byteswap_uint16(uint16_t v)
{
return static_cast<uint16_t>((v >> 8) | (v << 8));
}
static inline int32_t clampi(int32_t value, int32_t low, int32_t high) { if (value < low) value = low; else if (value > high) value = high; return value; }
static inline float clampf(float value, float low, float high) { if (value < low) value = low; else if (value > high) value = high; return value; }
static inline float saturate(float value) { return clampf(value, 0, 1.0f); }
static inline uint8_t mul_8(uint32_t v, uint32_t q) { v = v * q + 128; return (uint8_t)((v + (v >> 8)) >> 8); }
uint16_t crc16(const void* r, size_t size, uint16_t crc)
{
crc = ~crc;
const uint8_t* p = reinterpret_cast<const uint8_t*>(r);
for (; size; --size)
{
const uint16_t q = *p++ ^ (crc >> 8);
uint16_t k = (q >> 4) ^ q;
crc = (((crc << 8) ^ k) ^ (k << 5)) ^ (k << 12);
}
return static_cast<uint16_t>(~crc);
}
const uint32_t g_global_selector_cb[] =
/**** start inlining basisu_global_selector_cb.h ****/
// Copyright (C) 2019-2020 Binomial LLC. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
{
0x0, 0x505, 0x5555, 0x5F5F, 0x5055050, 0x5055F5F, 0x50AAA551, 0xFAA5A5AA, 0x6AAA5095, 0x41E6FBAB, 0x19AE99F5, 0x1057AAA4, 0x54005A1A, 0x4459AEAF, 0x56015B, 0xBAA9A554,
0x4335E5E0, 0xD9FE5FBB, 0x2525256A, 0x9AE892, 0xC0D5FAF5, 0x5BA5E641, 0x7EDEC8B8, 0xBB671211, 0x4C9844EE, 0xEE042415, 0xE5663EAE, 0x90909091, 0xAAA45AFF, 0x15556E1D, 0xA6959195, 0x4BFF8BF,
0x5166AAF, 0x15490065, 0x6F5BAFAF, 0xFF00FF00, 0xD96956AA, 0x15AF6B, 0xFF5A00AA, 0xE0E557AA, 0x1A6F19BD, 0x69655555, 0xD0500158, 0xEEEDD894, 0xE4E4FE, 0xC71B7B10, 0x55AA5AAF, 0x50AA59BE,
0xE4E990E4, 0x5353B63B, 0xFEE5D0E4, 0x96AF051A, 0x3CC95A6, 0x70B5A40D, 0x9504196E, 0x4A0BD7A3, 0x11B89592, 0xAAFF4095, 0x55A5D4E0, 0xBBA55050, 0x1111666, 0xA5544000, 0xED994444, 0x5A56BF,
0x94A954B9, 0xFB651000, 0x604E633E, 0x14291A15, 0x56965956, 0xB8E0D0C0, 0x5A565A55, 0x65A61A6A, 0xE490F990, 0xCA87AAF5, 0x6060A0B, 0x24C23143, 0x55AA9A40, 0x505E1605, 0xCEC0486E, 0x156E55EA,
0x79978B0B, 0x4595F53C, 0x405C4AF7, 0xC1897D75, 0xD5F40BA6, 0x95444017, 0x14AD6935, 0x87C7A7BD, 0x4A4E8597, 0xFF1D7E55, 0x451400F9, 0x1112277B, 0x9A0590F8, 0x53E3492E, 0xE590E995, 0x7E730A9A,
0x929697E7, 0x2E781609, 0xE22317A1, 0xEDE9D884, 0xDDD75CDD, 0xAF1B6F1A, 0xE6909047, 0xA77DAD5D, 0x184C0D5D, 0xFAB56010, 0x5EA4F1D0, 0x11166B6B, 0xF51A7AD6, 0xF79950F4, 0x1B6B1B11, 0x9A6D6469,
0x441997E, 0x4546869A, 0x95AA6965, 0x155A6A, 0x6E68B0E6, 0x5A55A665, 0x1B051605, 0x601D8BE6, 0xBD2F1B06, 0x409A429B, 0x23272721, 0xB07454A9, 0x7E66A3A1, 0x1B6A5500, 0xA0E0F5A6, 0xBF5A0500,
0x55A5A9A9, 0x99D9E995, 0xE440566F, 0x6550BE99, 0x2267777B, 0xFA50FE50, 0xA657B441, 0xB4E29343, 0x555090E5, 0x45465B6B, 0xE654E6, 0xEA90469B, 0x2E05D2F4, 0x99594444, 0xF1C20746, 0x295AD2E0,
0xF990EA95, 0x804459AE, 0xA9999894, 0x1F41E4A5, 0x4040E5E5, 0x5481E1F2, 0x2AFF59F1, 0x6B6B1712, 0xA7131051, 0xF9406F16, 0x1B2B5B9E, 0x587E0F2F, 0x547E1919, 0xD0F5645B, 0xB1B1B1B, 0x5756A4FE,
0x46A9B965, 0x1529F99D, 0xE490E490, 0x4495FE, 0x985E0B06, 0x5FD2D23A, 0x5D0E95A, 0xF69103F4, 0x4029790, 0x1B062F1B, 0xEE594500, 0xB6539B5A, 0x106165BA, 0xD26B7C8D, 0x8B2A25A5, 0x55EAD5E3,
0x431FB8E1, 0xBEB4E646, 0x9A5A4545, 0x5015A6B, 0x90D4B83D, 0xDB8A99A4, 0x9E894905, 0xDD7D1101, 0xA95E00BF, 0x579FA5A5, 0xA292D145, 0x93292C96, 0xF9A995A5, 0xBFE8A450, 0xB990D15B, 0x45D1E01A,
0x4BD3F767, 0xF243479A, 0x7E420927, 0xF9E5E090, 0xA1C869F, 0x253A36, 0x9BAB569A, 0x4147031F, 0xA059AFE, 0xE0D6590F, 0xD5EAD5E6, 0x9A4B4641, 0x5AAA4406, 0x55EA90E4, 0x10179BC4, 0x44485999,
0x5156253E, 0x1F29E054, 0xCDDAA773, 0x5601AB05, 0x94FC94C0, 0x116166BB, 0xBF964006, 0x414196EB, 0x8498D9ED, 0xB5E08687, 0xBD564150, 0x2B8D9DF8, 0x7F12017E, 0x90904747, 0x50B56AB, 0xDBD19490,
0xBB5A5659, 0xBAF40E4, 0x6D649014, 0x1D29166F, 0x414F3D75, 0x6F929540, 0x565AAF05, 0xBD9884E5, 0xF5342A25, 0x157915AE, 0x1A055A55, 0x9019A19F, 0x64B96A05, 0x35689CCC, 0x996012E2, 0x5252677B,
0x156AA401, 0x25BCE483, 0xAA665555, 0xD6AF4B0F, 0x3F4BBDE0, 0x9404A9AF, 0xA590F9E4, 0x8191A5FD, 0x568190B4, 0x591A6616, 0x92C11D3E, 0x97D2E5FC, 0xF5A55A6F, 0xBEE0969B, 0x8918B4CA, 0xE0915397,
0x5243472F, 0x95EA4055, 0x55E6E0A4, 0x9AEBD181, 0xF4A25357, 0x11115666, 0xFE45FF0A, 0x8BC7D2E1, 0x800556BB, 0x757D6A96, 0xFA909A5B, 0x68962FDB, 0xEB0056AA, 0x69970241, 0xAA58AD64, 0xC4D9DED5,
0x5A5BF2F0, 0xBD0905B4, 0x197D7801, 0x8987EDC4, 0xFF40565A, 0x460978A4, 0xE4067FE4, 0x5DA23153, 0xB90565AE, 0x5E14B946, 0x4E35879F, 0xC72F8666, 0x1816472F, 0x9A5A4949, 0x64A0D1E5, 0xC7025B1A,
0x1B061B55, 0xFFAA051B, 0xAF5DEDA1, 0xAA955094, 0x6659965A, 0x99A95DAD, 0x9450A5A5, 0xA550A595, 0x6914B950, 0xEF454944, 0x906BB990, 0xD680944B, 0xE091461B, 0x5363B7BB, 0xF0743906, 0x66566A69,
0x4B85D0BC, 0x40E494A5, 0x1161B6B6, 0x519BD59, 0x5998401, 0x1651F26B, 0x5709BB1B, 0x6AE1D1B9, 0xD19297BF, 0x1A69FEE4, 0x6066B5A, 0x74A56491, 0xB4661151, 0x559191A4, 0x96756A68, 0xF5C791A6,
0x20297A15, 0x6B660100, 0x313177A2, 0x55054150, 0x6A969669, 0xF0B82111, 0x555A6996, 0xB666295A, 0x1EA95441, 0x6A166BA5, 0x8C18566D, 0x2797278A, 0x82A552BD, 0xF964BD14, 0x41540668, 0x5078785A,
0x5754FE, 0xF9E0E5FA, 0x15453D3F, 0x5A9699A9, 0xD9854147, 0x849494E9, 0x1DC39734, 0x67E797B3, 0x107066F, 0xAED9986C, 0xAB564140, 0x9B51A6B7, 0x5FD3E2F4, 0x5A5429F9, 0xF9A05161, 0x5A5A6965,
0xDDD88484, 0xFA50FA55, 0x90E5E4FA, 0x6BF166B, 0x6566665A, 0xE450A6E5, 0xEB45AA04, 0xDA9A4646, 0xD7A37235, 0x11431B97, 0xD41D6E64, 0xD3D3A1A0, 0x5D540E9, 0x627777BB, 0x5054A4BE, 0x593A05ED,
0x2EBE454B, 0x1ABA1015, 0x7C64B460, 0xC358B47F, 0x176F4293, 0xA6E417AB, 0xF611756E, 0x1F40D499, 0x84885D5F, 0x2F0B9B9B, 0x14BE05, 0xE5919590, 0x101B146E, 0x7B261190, 0xDC96F8B0, 0xF460257E,
0x34B0AFC0, 0xEB9140FE, 0xC5C589DD, 0x1F6D6865, 0xF5100195, 0xAF560607, 0x505066B5, 0x7E590999, 0x13E190E4, 0xA56ABD59, 0xC21B68D7, 0xE594E4, 0xF6576E50, 0xFFA751D1, 0x19A179CB, 0x2726797,
0xA1931C7C, 0xE1D90F1B, 0x7F2B2510, 0x6AF90055, 0x5F1E4C88, 0xE410757A, 0x95702212, 0x7B762100, 0x1B05BF6A, 0x16F05AB, 0xDDC5C9C9, 0x72BE594, 0xE490E555, 0xC5E50106, 0x816DAC16, 0x5540FA90,
0x156605FF, 0x3B372621, 0x2B57A67D, 0x6C661E16, 0x1E97A917, 0xE6E2D383, 0x1B40F91B, 0xD9A63333, 0x34E18629, 0xA71616E9, 0x84946D99, 0x1B6906AF, 0xEFDE8904, 0x88F52470, 0x50E990F8, 0x4182E1B4,
0xBAE1865B, 0xF48E4F4, 0x64A0517F, 0xA1F45902, 0x12177BF5, 0x465EBD91, 0x37A747, 0xF0A5106, 0x4C4E8A5, 0x62779E65, 0xDE494989, 0x7B6796D1, 0xC5C5C58A, 0xE4786B07, 0x6F07E0F9, 0x5554A550,
0x95559333, 0x747A6B5, 0xA4A45500, 0xE998444, 0xF5966371, 0x111116BB, 0x783A679, 0x95409AFF, 0xFF9690E4, 0x60743EBD, 0x1C5A90FD, 0x2B051EE9, 0x5B7A1624, 0xEB415701, 0x1B6B0155, 0x9BCB8586,
0x599E5C51, 0x510064BE, 0x50FA6060, 0x16066B5B, 0x54DA89D5, 0xA01468B5, 0xC1655E5, 0x55FF6657, 0xE4985E9, 0xD738BE27, 0x6938D450, 0x47D0E4FE, 0x4858986E, 0xE793431E, 0x1A05FFFD, 0x18939141,
0x15EE4620, 0x79E45151, 0x663AA556, 0xD1266DD9, 0x7E0655E0, 0xB6A7676D, 0x54A96AA5, 0x1664092B, 0x56517AA0, 0xD6402CB8, 0x40A7773C, 0x554F0646, 0x488D5F2F, 0xE4E49095, 0x1C7CB4E0, 0x7C27529A,
0xF6FAA151, 0xCC7358D6, 0xE8406D15, 0x6E074B5F, 0x638359F7, 0xD4E9A88C, 0xE888050F, 0xE6546A0B, 0xB9904EBD, 0x755061AF, 0xA371285C, 0xE95A1904, 0xCADD042D, 0x757F6ED6, 0xE4A91F06, 0x6D5D0909,
0xE49559B8, 0xF4B0569B, 0x8454B5B9, 0x2161B5B6, 0x855AADEE, 0x575B0544, 0xBFE4D086, 0xE484CBEB, 0xF9F5426F, 0xCC653366, 0xA3524656, 0x9A5989E4, 0x10451466, 0x71F1655, 0x9B90A4ED, 0x14599FF,
0x9666AA91, 0x5A99A945, 0x9685CD8F, 0xB8506A91, 0xB427E0F8, 0x50A990FE, 0xA5FA9090, 0x60D4DA80, 0x28E35CB3, 0x55E4AA, 0xD20B55A4, 0xE15F86, 0x36E6995E, 0x54036FFF, 0xA79D2250, 0xBA11A500,
0x404603AC, 0x641065A0, 0x9DD84A0A, 0x969B061B, 0x36737313, 0x7B65631A, 0xA4E4C099, 0x9590448F, 0xD57F0680, 0x6094D86D, 0x15D8E3BD, 0x757F7DD7, 0xB45B854, 0x6560FA98, 0x7A805637, 0xD68416BB,
0x7B767131, 0x90F9E8FE, 0xA4E54045, 0xE0411F6E, 0xD57D7DDD, 0x33CB1C33, 0x58ADD010, 0x9B1FA5C6, 0xA401BE95, 0xA950F994, 0xA851971E, 0x33CC33CC, 0x10F0B164, 0x151A6F01, 0x78B5660C, 0x33333225,
0x41162402, 0x5F0506CB, 0xFD96166F, 0xE4417643, 0x56A51A94, 0x5323BFEA, 0xD12DD12D, 0xA999959A, 0x547C6482, 0x499EE652, 0x4AC7D1E5, 0x2D3DAD07, 0x6B171201, 0xAF065854, 0xD6C4891D, 0xCC739CE7,
0x9D692663, 0x3E41597C, 0xF38314BB, 0x1150A4F4, 0xE1E50FA, 0xF4D60B6F, 0x5A54E590, 0x227AB5F0, 0x73A3D7FC, 0xD7420A59, 0x12015A59, 0x4F1999D5, 0xA90EE44A, 0x1065B9B5, 0xD10533E3, 0xBA918409,
0xE5409FEF, 0x4549047F, 0x6B57A6A5, 0xE94691AA, 0x111A6E7E, 0x45496BA, 0x49FD999, 0x414D5B8D, 0xAB10EF5E, 0xE9878505, 0x8C910499, 0xC0C5DA3E, 0x6F1B7298, 0x177D78D0, 0x687B5665, 0x3F470353,
0x1441A590, 0xE1965F6F, 0x5A5B4A8D, 0x47D7C98, 0xD1404115, 0xB89A053F, 0x8C4095FE, 0x4861E055, 0x3B417607, 0xF9E0E4E0, 0x65B0506, 0x93633236, 0xAA07A5E4, 0x77747080, 0x776160F0, 0x1672B05,
0xA54E0428, 0x520A9625, 0xE581065, 0x90C76D76, 0x2157B2B3, 0x5C5BE06, 0x151A5A01, 0xA9D5C081, 0xCBCD9854, 0xFDD1061F, 0xB66111B1, 0x9DC3D7B0, 0x650A7642, 0x8095734D, 0xD052011B, 0xE0A1479B,
0x9501BFF8, 0xE9D9BD0D, 0x7A017925, 0x69A67373, 0x41E0E557, 0x5F844124, 0xEAB0695E, 0x566B5040, 0xCCC9D693, 0xA79684DE, 0x6B5BC3C1, 0x9595667B, 0x9C33CA5C, 0x8984C5C5, 0x459BBDE9, 0x1F10A5F4,
0x22A55AA, 0x97C3430D, 0xAA569A55, 0x552E1E00, 0xD3C3C78B, 0x82C7521E, 0x5B0605EA, 0x5FF69268, 0xD081460B, 0xE4517F06, 0x4448C9CE, 0x2F69F940, 0x476DA470, 0x9F96FE12, 0x4D8D9E8E, 0x6A6A16B5,
0x1D05BE66, 0x84F5BD, 0x691E1B41, 0xE0939B17, 0x159059AA, 0x1E5792B9, 0x25A701A5, 0x439162E, 0xE994077C, 0x5CC396AA, 0x1D0D9AA5, 0x4A4A598D, 0x1B6F156B, 0x1A1B0F40, 0x34CB34CB, 0x6F542E,
0x32CC739C, 0x94EB9669, 0xDA8D4E1D, 0xC6C5C46E, 0x10152B3F, 0x8787F9F9, 0x5E42D064, 0x699B05E9, 0x7030295E, 0x495E09BE, 0xEE191016, 0x801D2D56, 0x3A0099F9, 0xEA09059E, 0x5BAB5100, 0x393D49C,
0x10E15DC2, 0xB056DD4, 0x3536915, 0xE0C18719, 0xEB964090, 0x6172727, 0xFD5900FA, 0xD10B78D1, 0x33332626, 0x50F990F9, 0x78600A5B, 0xE2B5401B, 0xAE5E9404, 0xF2CF0C0, 0x9E9D8080, 0x84E4F4F9,
0x41F0E59F, 0x90787E12, 0xE4E19143, 0x761D6706, 0x6560BCE5, 0x134A9BD3, 0x23768995, 0x22ADF6, 0x434A5C72, 0xD4985444, 0x70936BFF, 0xAB54E0E7, 0x45E7A682, 0x7A786D90, 0xF8546A00, 0x5F5E4540,
0x999A651E, 0xF9E297FD, 0xAF86E5, 0xD00B6E54, 0x5442878A, 0x50E940A5, 0x61F6AF1, 0x479701AA, 0xAE455E5D, 0x6560123E, 0x22D17625, 0x83071B64, 0xF9460251, 0x5F4B064A, 0x8742417C, 0x5F89C51A,
0x14A29F50, 0x5013BF6B, 0x76395676, 0x54A590F9, 0x40915AA7, 0xEB95E041, 0x7E560504, 0x65B9E4D1, 0x3F63A594, 0x17448216, 0x1A4F87F1, 0xF990E696, 0xECE89A50, 0x2266B17, 0x6A959A98, 0x50F5001A,
0xBF056A55, 0x74470FFE, 0x65251011, 0x9F7D6597, 0x51BB962, 0xA0D04297, 0xA257F0D1, 0x5B1569D5, 0x4F40959E, 0xEC5D1D0D, 0x51A1A, 0x1DF56462, 0xC4491A6F, 0x4B4A55EF, 0xFD741D5F, 0xE1526713,
0x875153E2, 0x9752A2E2, 0xEFDA8504, 0xF0E84756, 0xE0A196E9, 0x5FAF5C40, 0x9A3359CC, 0xE056062E, 0xB07B71D7, 0x5966475D, 0x66161100, 0x444A0151, 0xDAC7D6F5, 0xFBE8E314, 0x35098512, 0x1A7F7690,
0xAF970158, 0x666A6996, 0xD1D10938, 0x742969B, 0x4542A5FE, 0x6EBE50A1, 0x816E7955, 0x64E1D0C1, 0x105156AA, 0x6A9AD0F5, 0xB4909E2E, 0x55A6A959, 0x45B4999F, 0x3266CC26, 0x9B915EE, 0x9769E58B,
0x2EF59968, 0x3F2F0711, 0x79798469, 0x6161B6B6, 0xA79504B1, 0x9B92A351, 0x61C08573, 0xAB1B656F, 0x37271601, 0xE4840979, 0x45D1C1DA, 0xA4C4961B, 0x59A7F2F0, 0xEA9FC147, 0x635362B0, 0x9561EAF,
0x6B6762A1, 0x585A43D3, 0x8484819F, 0xD1C30D5D, 0x2123101D, 0xA0F8E4F9, 0x63676220, 0x17EB6A5, 0x90E63F27, 0xDD256045, 0x7B66A1A0, 0x64143F6, 0x41D479D7, 0xF1520F82, 0x12B44687, 0x1504BE1A,
0x90E45401, 0xC4C98E4F, 0x919097C, 0xA7A52919, 0xB9B62313, 0x9695C089, 0x30C5E6BD, 0xAA55669B, 0xD19F0645, 0x1150E2FF, 0x36213121, 0x1F1F0A05, 0x2A315099, 0x2A1E0414, 0xA3E3D04, 0xD5992851,
0x19A56A45, 0x5D0669E5, 0xA7C1F8C0, 0x84D1E5AA, 0x7292A464, 0x9040F5E4, 0xF185405, 0x1FAE4509, 0xF91690BE, 0x5540A540, 0xA1D2874B, 0x560B65F8, 0xC207E1E6, 0x646D0F9, 0x5A1440, 0xBB454116,
0x13597242, 0x413A4504, 0x66E7D2D2, 0x61DA6950, 0x519DF0A0, 0xD2926EB4, 0xA583060B, 0x247E1587, 0xE50590BD, 0xEFF50146, 0x6252B722, 0x4B9AF552, 0x42445A5, 0x5D0844D0, 0xD7C1D18, 0x6B53900,
0x7DD68434, 0xE6964247, 0xE0A50B5, 0x72635347, 0x669A6B06, 0x91549A65, 0x8F097CA5, 0x849458EC, 0xF9B09275, 0x71390D5A, 0x478BC9D6, 0x5D579AA5, 0x9ED08605, 0xCA1C35D3, 0x1029669, 0x1344FEA7,
0x5B468B87, 0xA7F29990, 0x60BDB855, 0x3430B574, 0x544461FF, 0xC5C9550E, 0x69E716A7, 0x112336, 0x3F11D2D7, 0x2F0796E4, 0xB5250B00, 0x33CC33DD, 0x20357676, 0x7B6F9272, 0x114B09BB, 0xA7F6C987,
0x32959833, 0x40D25BB6, 0x13170353, 0xD52E5949, 0x93626538, 0x43449A56, 0x655890BA, 0x2F56811B, 0xE5E4C88, 0xA6079500, 0xA4F90507, 0x6460A055, 0xE990906D, 0x156F56AC, 0x54CF00, 0x181D5A0A,
0x7C09E947, 0xAD9E898C, 0xFF914212, 0x6933A7CC, 0xB2935B2E, 0x4454D8A2, 0xA6A560B6, 0x519E2075, 0x575FA6A5, 0xB8B06916, 0x598B471B, 0x10686AD1, 0x45EA0170, 0xD0470B9B, 0x3B511E0B, 0x53D79D0,
0xCBCAC5C5, 0xDAD54CD0, 0x3542EE79, 0xB4AD4FD, 0x642DFF01, 0xB99109B9, 0xE1919B9F, 0x97B84162, 0xE995460A, 0x1060F5F5, 0x166DBCF1, 0x4214957A, 0x6C60626, 0x50FE4F0B, 0xB466470A, 0x808596E2,
0x70D1440D, 0x818617B6, 0xC8E8DDED, 0x40443474, 0x103E0750, 0x1559A9, 0x16E29FF, 0x54FE0447, 0x34CAB25C, 0x9B30756A, 0xB0E74B05, 0xE19051D, 0x402E7450, 0xF5E0D1AB, 0x87979B5F, 0x8707BA71,
0x90B4A491, 0x1A2F5301, 0x6C44D318, 0x8AC0A1F4, 0x5A6F0306, 0xE1159090, 0xF9A54183, 0x4CC7321C, 0x7E64868B, 0xFDE60582, 0x4BE77014, 0x1B902D01, 0x104D8FA7, 0x16A7CD, 0x94693912, 0x62E759A,
0x594BA906, 0x5D023747, 0xDF9757AD, 0x97364CCA, 0xFA011265, 0x12E16116, 0x7A615600, 0x501196F9, 0x5067E247, 0x2A75B070, 0xBC0196BE, 0x19FD8907, 0xCA8511AE, 0x7B671210, 0xB8F0966F, 0x600AE5F4,
0x4146858E, 0xA579C124, 0x19F26C13, 0x2320776, 0x595BF900, 0xFB059055, 0x6FD6E460, 0x86CAD5D, 0x948153A5, 0xC6C546FF, 0xE199AD5A, 0x656A566A, 0x81256994, 0x7C285400, 0x37CD6A37, 0x4CF4E1B,
0xD181E0B5, 0x90F89F46, 0x5AD2D072, 0xF1F44D4, 0xB5E091C6, 0xFF90E764, 0x656B9965, 0x833471C7, 0xE6470700, 0x521A517, 0x56620BF, 0x7A6458C9, 0x566959A6, 0x5A5FF3D2, 0xD050063F, 0x9AC17C39,
0xC1F03D19, 0xE7939343, 0x35312404, 0x76671223, 0xA0D05804, 0x7B773262, 0x5E2E6465, 0xE6860519, 0xDE909B5A, 0xB5C094E4, 0xAF019B15, 0x1A57027F, 0x7874E7D3, 0xB35674A, 0xD0854FB6, 0x916509FD,
0x431F91FF, 0x9B605420, 0x566978B4, 0xE8D1042D, 0x2533074, 0xEC904443, 0xD404A4D1, 0xB9984945, 0x435181E6, 0xDFD0520A, 0x37FC61D, 0x1540FA94, 0x876DB853, 0x9D686C9D, 0x5D7DE642, 0x556A6669,
0x6B166F05, 0xF0F06616, 0xE490051F, 0x147B0606, 0xFD76D9D9, 0x3B814E5D, 0x16E6460, 0x91F05406, 0x37444D34, 0x1B17BF00, 0xA8465A05, 0x12429D1C, 0x79753935, 0x639291F4, 0x6761F0F4, 0xBC789460,
0xF890D79E, 0x54780743, 0x1131367B, 0xD6487C64, 0x8E582E4F, 0x6A972A65, 0x1BA6D0E5, 0x17D6007A, 0x82590727, 0x95D0FA, 0x1540E47E, 0x56B91A0B, 0x8A85C4D4, 0x9F8205E4, 0x80D4C58B, 0x75D3E647,
0x5956D966, 0x74ED4500, 0x167EA440, 0x255E191, 0x31811515, 0x82999DDF, 0x11670BB8, 0x2BDAD965, 0x5AA5669A, 0x55BF105A, 0x88496E59, 0x5AF56600, 0x4858E751, 0xF4811BB9, 0xB501A7B0, 0x11B26DB,
0x767C9887, 0x602D7703, 0x1219F8FD, 0x464297D, 0xFF06DB95, 0x156A04BF, 0x5050A39C, 0x35CA4F94, 0x7F00EF1B, 0x68353273, 0x150663B6, 0x79666190, 0xDA650647, 0xA962959A, 0x96E596FF, 0x537E17A3,
0x57F9E440, 0x101458FF, 0xA4D4E441, 0x1898C4E0, 0x7E189481, 0xB6C71904, 0x9A95EDDD, 0x944449FF, 0x61E4C997, 0x52DF8F5, 0x6A51F46E, 0x9145AD, 0xD9A8DDD2, 0x8784E63D, 0xFF5B906E, 0x2998A559,
0xCCCC6633, 0xB954C0D0, 0x70B5663B, 0x531C8B25, 0xFFBA0191, 0xF4E35B90, 0x40FF7150, 0x1F075AE5, 0xD0015BFF, 0xDCC3D6DB, 0x4E54A07F, 0x7E9647A, 0xA19D4E1, 0x51504404, 0xE7D68A8A, 0xAF10A450,
0x71B71184, 0x79940A0E, 0x821B196E, 0x50413A5B, 0x5707962D, 0xD1B63962, 0x819DEDE4, 0xEEC5CB54, 0x251DBAD, 0x50BD6D1D, 0x20976E74, 0xDDC98A4F, 0x451079E9, 0x69146E, 0x68590311, 0x8045A9F4,
0xEEC58B96, 0x98CCC996, 0x94784451, 0xE6D6015B, 0x3035B95, 0x12E39F6, 0x50EE4058, 0x4D1C74A0, 0xA4291505, 0x936B67D4, 0x2AC1449D, 0xA4015A6D, 0xAFCB4414, 0x74A50038, 0xDED051C8, 0x347B76DA,
0x817ED01B, 0xDD2D79D2, 0x5A1A011B, 0xA040F556, 0x540246B8, 0xF2B45A06, 0x6A4999B4, 0x4B67D0BF, 0x31614701, 0x456C84C1, 0xB8F4814C, 0xFF009669, 0x4F4A4999, 0x907D95AB, 0xB7A49402, 0x526E61D,
0x5A9542D3, 0xF8792606, 0xA913569, 0x3193534B, 0x7A61D074, 0x51A452E3, 0x40E490E5, 0x4106377, 0x404A1709, 0x1562727, 0xC0B89996, 0x4440781E, 0x78FA9053, 0x5D1E00E8, 0x1C3C75D0, 0xD581AB05,
0x85C58A4, 0x44E490E4, 0xCD94CDCA, 0xB252E6D6, 0x1FC345AB, 0x40C5B905, 0x26693851, 0xEC3741D, 0x1B5869B, 0xA161510, 0xE061977B, 0x8A580510, 0xD960D554, 0xB53E091, 0x14B900FA, 0x3E094659,
0x6090906, 0xE6B47C17, 0xECEC9840, 0xF9A405FA, 0x90F994FA, 0x2B750A5, 0x803B3D25, 0x14AE405F, 0x6F97E0FD, 0xCD34E38C, 0xDED0D4AF, 0x96D1C038, 0x51E78187, 0x93D7CACD, 0xD4D052A7, 0xE6558B4F,
0xF6025766, 0xE54074B0, 0x6613252C, 0x257A75, 0x1B1266B5, 0xF956E0B6, 0x44D3E3B9, 0xC5C5E9E6, 0xEBD69599, 0x9F91D0F8, 0xB0A05253, 0x6E0F1761, 0x425FE480, 0xA5A051FF, 0xB1384DC7, 0x1CE31CD3,
0xEBF6701B, 0x6B152998, 0x35A62510, 0xD140E5E6, 0x9070791D, 0x3CA6D1, 0xDAC98985, 0x90917E97, 0x19BCF91, 0xD0C7CBC7, 0xB5466B37, 0xB111D25B, 0x9A29978C, 0x3196C50, 0xCAC5C1FF, 0x4F4A4192,
0xB14E708B, 0xD5E958D3, 0x73747E24, 0xEDE0D6A2, 0x1B91436E, 0x79252511, 0xCBC58C44, 0x7E64F890, 0x9F05B9F4, 0x1B55E0D0, 0x21D1E969, 0xF4558028, 0xF9E5C3C2, 0x1974325B, 0x6A94E0F0, 0xD101A5BD,
0x1A17075, 0x5B2D78E1, 0x17194807, 0xF5C24B1D, 0xFA40E655, 0x7A095515, 0xE106F993, 0x565A1103, 0x5A54F6E0, 0xF5E0016E, 0xD6CBC5C1, 0xF940E696, 0xAE316D90, 0x6A146A00, 0x9B96E9E4, 0x6351D86F,
0x5A466995, 0xD4460B8A, 0x2CC3744E, 0x99666696, 0x20257ABF, 0xA3F2955, 0xD5D0919A, 0x54444859, 0xFC5C606F, 0xA6653749, 0x306E696, 0x2528BD70, 0xA07BCE5, 0xF0A46662, 0xDC649440, 0x99C7874A,
0x656CBEB, 0x5151A67B, 0x60DB4B05, 0xD1444107, 0x514B74, 0x165025A, 0x5B5A1101, 0x7101179A, 0xD09A070B, 0x50A096BF, 0x47A9521D, 0x4B2D7492, 0x3F0F1B53, 0x1941ABFF, 0x7B666111, 0xD3C345BA,
0x1CA9D6, 0xE18359B9, 0x1590E6F8, 0xF4285902, 0xBF1B92D0, 0x1BE76D, 0x2A5582C3, 0x8979164B, 0x3C721B40, 0x33C0CF30, 0x2DD21EE1, 0xE9D30707, 0x192DF65, 0x1B92E7C5, 0x33333669, 0x1E0560F4,
0xFB53034B, 0x966A6699, 0x6F9797A7, 0xEF469BDB, 0x1943F5F6, 0x1DA7C70A, 0x74741E9E, 0xF5709967, 0x520B74F1, 0x4741FBAB, 0xDA6712B9, 0xCBC6C1D0, 0x67E2D64, 0x5E03B625, 0xC088D9D5, 0xF89005FA,
0x5A2516AA, 0xE5C7D9D6, 0x69FE5096, 0x435BE0D1, 0x7193DB8, 0x9CCC9967, 0x54613301, 0x461211BC, 0x730C6FAB, 0x6050A5B1, 0x7EB91141, 0x6A152F00, 0x69665AE5, 0xAE5780F8, 0x7D06F90, 0x2032D510,
0x4E0746D1, 0xA69C33CC, 0x1A462616, 0x36C6C6C6, 0xFFA59D1F, 0x9B6D74F1, 0x1197907E, 0x656A9995, 0x91742E48, 0xD00538F5, 0x441542, 0x40D2469B, 0xFF5999, 0x15A9966A, 0x94841EF9, 0xA5651D1F,
0xCC9C6633, 0x2F7D107E, 0x9B81411F, 0x9E59A669, 0x5E970007, 0x7E2E1F03, 0x29B5F244, 0x86C5D48, 0x548581B4, 0xF955CF44, 0xE35CB2CD, 0xA956B6D7, 0xE0E69125, 0x1969C59D, 0x550099EF, 0x68D99F24,
0x5FA65010, 0x2B1256FD, 0xF8244147, 0x1D56470C, 0x2162A76, 0x62F16510, 0xAA556995, 0x540669, 0x14C29726, 0x4790FC0, 0x2CC19B44, 0x6CD7759D, 0xD7F64140, 0x425F81E4, 0x5034348D, 0x65095966,
0x7261B0F5, 0xAF5681D1, 0x935A4051, 0x5262767B, 0x595EC2E8, 0xDB743847, 0x3C60A513, 0xC21F3991, 0xCB34C738, 0xD19AE995, 0xB9171781, 0x1107AB66, 0x5FC0D790, 0x2070F1F6, 0x6E5E1A09, 0xB5407E5E,
0x505494EA, 0xE4703556, 0xF890999E, 0xA65BF595, 0x2919A7F, 0x49DD3880, 0x94EF960A, 0x183D1906, 0x1500F9F9, 0x9DEE4509, 0xF5FA6313, 0xE0526850, 0xBFE60005, 0xF16E685, 0xF90065A5, 0x916AF859,
0xFF608454, 0xE6BF5094, 0x81D1E0FA, 0xA19FF91, 0x60D59CD9, 0x39524274, 0xD7994F4, 0x36295C8D, 0xE0503945, 0x2D85C545, 0xD1500658, 0x22172635, 0x338C5626, 0xDE812506, 0xDB57E8D0, 0xE9D955F6,
0x9F6C94E6, 0x9636CC33, 0x2A1A3542, 0xF95D80F5, 0xD4266F42, 0x1C9E5F9, 0x74A1C30E, 0x6B16A050, 0xFB03506A, 0x4218B469, 0x94D1422D, 0x427D3531, 0xC25BAD40, 0x6692B292, 0x5A50E9A5, 0x717CD4C3,
0x71938F59, 0x5147400A, 0x41BC6EB5, 0xD4A0D4E4, 0x1D0E5FA, 0xF6869F06, 0xA7E35252, 0xF4D1421B, 0xA4894DE7, 0x2D946B1A, 0xD0FFC684, 0x17C291E4, 0x7F525000, 0x15848139, 0x669669A5, 0xA7A76353,
0xA996966A, 0x2FE155C0, 0x1E1E42D6, 0x4CB19976, 0x1103BE69, 0x57699082, 0x71624AF, 0xE1445A09, 0x969A4504, 0x5602955E, 0x5A1548E4, 0x5B074314, 0x74A6CE66, 0x9038152E, 0xD8C4554F, 0x3EBB0657,
0xA8A65669, 0xB9B56010, 0x96B92D86, 0xE9D9CCA4, 0x33DE69A7, 0x5C8CD8E4, 0xF5D1401A, 0x4B59A46B, 0xCD258D07, 0xF3C3A475, 0x105DFC2E, 0xF7929140, 0xA4A450FE, 0x5B4598, 0x17137B75, 0x1B05F082,
0xD62474D1, 0x673AB500, 0xA9460B5E, 0x47025AD1, 0x6E6695D9, 0x1262B6F6, 0x6AE65190, 0x66A69499, 0xD0993A76, 0x22321727, 0x55C0C56F, 0x6F7D1E43, 0x352F53E, 0x6AD6662F, 0x62713623, 0x948484F9,
0x27161E04, 0xE996065B, 0xFED0411E, 0x8BC59A4B, 0x689E4B01, 0x40467E7E, 0x550E0F8, 0x1832D78D, 0x6CEC9580, 0x6A9E8F6E, 0x5340D4B1, 0x1449C6D, 0x22163530, 0xB4F6C3C6, 0xAD01DA95, 0x656F051E,
0x8151167B, 0xA0C3966B, 0x40F85B15, 0xDD4B8D2A, 0x24BB667, 0x52E193F, 0x56A7019B, 0x12625504, 0x11A16297, 0x4B59066C, 0x59E990A0, 0xA45C0B00, 0x92C34B3F, 0xD06F6325, 0xC68D18B9, 0x74783C30,
0xEA58C5CD, 0x142151F7, 0xDA649E04, 0xDA950602, 0x6E641510, 0xA7249144, 0xF46A1FF, 0xA950F611, 0x752E1FC, 0x7A460551, 0xB8E0D6D1, 0xE9D09151, 0xC745A104, 0x2072E687, 0x9F870105, 0x65A0F1FB,
0xD0D500F9, 0x1A901FE1, 0x6F4E9401, 0x33322558, 0x52532732, 0xDB16B782, 0xBAA56046, 0xBCA19396, 0x411B39B7, 0xDC847184, 0x31C8B364, 0x6A66906E, 0x3F85D8F0, 0x36EB4393, 0xD518985, 0x34392F47,
0x1FCF4E96, 0xF4A05E06, 0xBD5B102C, 0xFF056A65, 0x561BB601, 0xACC50A51, 0xA3733235, 0x7E1B53E2, 0x5251A0E5, 0xE078156F, 0x1F56E790, 0xA9965D59, 0xE0949C7D, 0xD87D560A, 0xD0649CED, 0x1065A47E,
0x257CE4C3, 0xE2409597, 0x71D49220, 0x253929F, 0x47673ECA, 0x716B51F3, 0x4C1C48C5, 0xC7C1520B, 0x7B593060, 0x4F88491E, 0xA566A956, 0x7767A34, 0x65149A00, 0xB6D75A5F, 0x96A757A6, 0xA050617B,
0xB007D141, 0x12A377B0, 0xC4E8D5F5, 0xE0C74B95, 0xC13C06F9, 0x7996213D, 0x9AC68F45, 0x65460B95, 0x99A7C292, 0x889C9C6C, 0xA4EDD440, 0xB0693DF, 0xFF50E490, 0x507A977, 0xE4147ED0, 0x80F19505,
0xFCC5066E, 0x74B64319, 0x103A1EC6, 0xB288507E, 0x56A779A0, 0x7C9056AA, 0x381294FD, 0x5D194EC1, 0xF0C19B1F, 0xD60A1DE1, 0x94C0C4DF, 0x7E66824B, 0x69670667, 0x461520C7, 0x7466071F, 0x96FD1A00,
0x10C4EA65, 0x93DE045, 0x6F01E2E5, 0xB196946, 0x504246AD, 0xB45E0F4, 0xABF1194, 0x84C94D5A, 0x111D27E, 0xF6951BBD, 0xE081166B, 0x56699965, 0xA1F16C54, 0x46107A64, 0x821C3491, 0x88D86E5B,
0xE5D2C7CB, 0x5203432F, 0xE616332B, 0xF9854938, 0xD2736742, 0x671061F7, 0x9248BDB8, 0x544106E2, 0x6134280D, 0xC65E091D, 0x5599E860, 0xECC245B4, 0xFE4564E0, 0xD500F4F4, 0x59FDC0ED, 0x44530376,
0xB152767E, 0x6A074351, 0xC565DE, 0xAD995844, 0x57F1D099, 0xB252D484, 0xD1984D8E, 0x5196A66, 0x2C59E167, 0xC0E9055F, 0xFD196F06, 0xF5F0C1C7, 0xFAD05152, 0x2126E0F5, 0xE9F42911, 0xC8339895,
0x8D405BD, 0x50E94377, 0x443AF945, 0x5011293C, 0x76A297AD, 0x1EE440C5, 0x35DAD9A0, 0xA4419590, 0x165BA619, 0xF60B9A65, 0x1F89444A, 0x71B0255, 0x476DF0A6, 0x61D4A1A, 0x469F9DB0, 0x32355C8C,
0x86091D46, 0xE795060B, 0x2296305C, 0x6E41F80, 0xF490E594, 0xF4E25699, 0xBF65AC50, 0x4A7E75DB, 0x1015F458, 0xB04ACD9E, 0xEE5478F4, 0x7F630C53, 0x4E49F5F0, 0xCDA3319C, 0xBE116D20, 0x4589D9E9,
0x7435434B, 0xFDD96656, 0x5F681E4, 0x99AD1C50, 0x552A5401, 0x68F04549, 0x73B66D2, 0x1F86D101, 0xD041160B, 0xF906FFA5, 0x689676DE, 0x5F4780BD, 0xF0939AA5, 0x1F0B5F40, 0x501B3F, 0xA8C193B5,
0x8C73CC33, 0xE24F7CD3, 0x9090A565, 0xA990D59A, 0xA1C14877, 0x946D8180, 0xF8343124, 0x14C1E915, 0x4919CBA5, 0xFF55D001, 0xF4E152A2, 0x46687EF0, 0xF05ABD48, 0xB7B37460, 0x1474C58, 0x94E490E8,
0xB9E44183, 0x78D32DE1, 0xC8E4489F, 0x5BDAA45B, 0xB5610147, 0x5162A5F9, 0x5D6191C8, 0x4595C0A6, 0xA57DC996, 0x6D9D0D1E, 0xF58BC767, 0x1A0E5509, 0x409BD2D7, 0xFF5C135, 0x33B7579, 0xEF035600,
0x779152B, 0x50B091B7, 0x363A3162, 0x491069DB, 0x9C4E0C5F, 0x945A1B12, 0x5490FF00, 0xB5A0B400, 0x1F82D64A, 0xB2C7426, 0x329CDA73, 0xA9995AA5, 0xF65876B4, 0x1E4E890E, 0x857AB576, 0xA52E054,
0x1D11D88C, 0xA35895B0, 0x6F196890, 0xC7143E70, 0x6BE401FE, 0x111BA961, 0x66070AF5, 0x5F07130F, 0xA15061B6, 0x8C73CD32, 0x6C6481D6, 0x6AD5A6C1, 0x14A5872C, 0x46B90BE4, 0xE5586946, 0x3163C58C,
0x1431B550, 0x91E94F09, 0x66F5C24B, 0xEE40461E, 0x97593992, 0x19E059F4, 0x94F92E05, 0x8CC445EA, 0x403D64A7, 0xB0FE5D8, 0x9C9B5C00, 0x7EDED9A4, 0x7CD393B5, 0xF1A50DA, 0x372B4077, 0xBF9046E7,
0x56261E6D, 0x51232570, 0x40153CAB, 0x9B6F6712, 0x51C0160A, 0xB990052F, 0x3788B955, 0x555064A0, 0x6F0B5B05, 0x9776666B, 0xAA069B45, 0xAFF81440, 0x91E4DE1A, 0x80D5C9C6, 0x1E9E5DA4, 0x2B65B450,
0x1213362B, 0xD766654A, 0x461346C, 0x197B2441, 0x5F9547EB, 0x15AF0506, 0x464C8D9D, 0x4021957A, 0xFE54E413, 0x13295035, 0x145E0D2, 0x4D4854E9, 0xBE50919B, 0xA76CF940, 0x91E1406E, 0x9A655A9A,
0x3E65005A, 0x1C0B6666, 0x2611AC57, 0xBE7D1442, 0x311E3FC, 0xA4858185, 0x6E54D2A1, 0x9140A5DE, 0x844EC85, 0xF4A81540, 0x1159BF9, 0x2896D07D, 0xD5E690EA, 0x40A47D47, 0x6F672C16, 0xF1611217,
0xE4096F65, 0x621D05EF, 0x9040979F, 0xC1C5CA46, 0x5B9606B5, 0x5101767A, 0x448C9568, 0xE4983D12, 0xCBC8B5E9, 0x1B15E402, 0xE1C60E15, 0x44E68419, 0x90D48DC, 0x7A9042BB, 0x151285D, 0x676B2613,
0x121644B4, 0x920F52E3, 0x56DE09E, 0x6E6607A4, 0x5E560B0E, 0xC20B7616, 0xAF464146, 0x8C5C2835, 0x474BC2C6, 0xBC6419CA, 0x5C4353F0, 0x31392547, 0x504295AA, 0xCC593363, 0x1C0C6DBA, 0x4D71B7F,
0xCC593633, 0xE71A250B, 0xE8CC599D, 0x894FA695, 0x4EC3513E, 0x39C0C645, 0x7B526034, 0xF91E2E06, 0x1A663699, 0x202599EF, 0xC1D1E195, 0x75E600FF, 0xD0D1ECDC, 0xD6DB6050, 0xE0E5016F, 0xF0910B15,
0xD68C6917, 0x6F1A3D00, 0xF5D61BA6, 0x336D1CA5, 0x7888941D, 0x78D0912D, 0xE1D1C34C, 0x592E4C41, 0x1539F804, 0xFB019650, 0xD5E50609, 0xE8C553F9, 0x411BEBD, 0xE580D1DA, 0x1CACD693, 0xAF15BCE1,
0x1104909C, 0x4B3B4686, 0xB3A31251, 0x50F5665, 0x1D4EC1D3, 0x2830D712, 0x401F0475, 0xC089D4DD, 0xB2425701, 0x40076F65, 0xA950F5A4, 0x9F9990BF, 0x70214431, 0x22753C31, 0xCC7369D9, 0xE9919061,
0xF45A1F1, 0xBD0690D0, 0x79A6C180, 0x2FDD105A, 0x584296CA, 0x116F906E, 0x58484C5C, 0xDF9B10E6, 0x5184486D, 0xE9D89D90, 0x69B05ED2, 0xD9841D2B, 0xC2C6C5E6, 0xF88947CD, 0x90696469, 0xC5C0C6DF,
0x677B0640, 0x4B479BC5, 0x83D1B811, 0x5B47E440, 0x1A419DEA, 0x3DD8D4A9, 0x8752B0F3, 0xD1D18189, 0xCCA632CC, 0x725CCB73, 0x6325CC33, 0x14464A25, 0x5410303F, 0xF8C12F85, 0x39D205E5, 0xFE850549,
0xC68710B5, 0x471F7842, 0xD34A4C6C, 0x4742D188, 0xBFD50A44, 0x1987777C, 0x5B61C12, 0xB2530677, 0xD995A916, 0x75B496A0, 0x31E61E7, 0x53939DED, 0x51705B00, 0xBA5A4046, 0xFF14A4, 0x2599DCF8,
0x7D47F02E, 0x9B959064, 0xDCD4E014, 0x38C22DD1, 0x65647C88, 0xD4606066, 0x3551E0D2, 0xD06157FE, 0x1131260B, 0x8B81E454, 0x1E1865FF, 0x1966A524, 0x4B4684D8, 0x3450F1B6, 0xE4FE41D1, 0x1D31F1E6,
0xC47C1F4A, 0x94656AB, 0x45D101B, 0xB681B712, 0x9BD09215, 0x77924154, 0xFCECD4A0, 0xF0F1C72D, 0x74D0834F, 0xE4908117, 0x65E0365C, 0x955A09EF, 0x6E744349, 0xF4692B13, 0x34750F6E, 0x94D198A9,
0x839C2DB2, 0xED929580, 0xEA609E65, 0x1A15F8D1, 0xFE00D6AD, 0xD5DC0141, 0xD90D3995, 0x6E6640ED, 0xA9B443CF, 0xE50681D9, 0x3F705659, 0x5F5E4844, 0x9A254A5B, 0x26618195, 0x8B945DAD, 0xDFD4E490,
0x674352C0, 0x9967C1C0, 0x5990E995, 0xDEC544BA, 0xA7DA444, 0x16457E8, 0x142DFE04, 0xA4D5C084, 0x13172539, 0x84FC3590, 0xA9734748, 0xFE07F451, 0x42119AED, 0x8F087916, 0x13A65D1, 0x82856E75,
0x3511B1B9, 0xA61BD018, 0x8619B893, 0x40BD89E5, 0x9A15F640, 0x4052464F, 0x9D87C1E0, 0x972C58F0, 0x84D8ED54, 0xE64D9C5D, 0xF421502F, 0xF24864, 0x59B8A154, 0x9A2596DF, 0x1441E6FA, 0x1BE46F90,
0xA8915051, 0xA5B62611, 0xF582841D, 0x825362B7, 0x55F367E, 0x415263BD, 0x3E463930, 0x68754A06, 0x1117F280, 0x8B16B855, 0xEC75E1C4, 0xA0771117, 0x669DB850, 0x6D171238, 0x47167213, 0x90B21746,
0xD92649C8, 0xCAC6C6F1, 0xE392C769, 0x60E7939B, 0x14130475, 0x56001A7D, 0xF657028F, 0x6F6819E, 0x29974C33, 0x49A57C5C, 0xD590E890, 0x6FF1116, 0x132B7665, 0xA0C60B56, 0x9844DF41, 0xA1B103E,
0x44845EEF, 0xA6D2F5D5, 0x55FA4600, 0xBF611264, 0x6AD53610, 0xED594A11, 0xCFC15015, 0x96264247, 0xA4F1D3DA, 0x257EC166, 0xB8D6C114, 0xEA90CF4F, 0x6D5A804, 0x3F0695E8, 0x9C90BCE9, 0xAB4701D1,
0x136357B5, 0x994D9E0E, 0x121652B2, 0x6D9FD261, 0x5CCC9733, 0x873B95E5, 0x905E9C80, 0xA051BA6F, 0x5F478589, 0x197AD19A, 0x50015DE9, 0x5BAE412F, 0x4111162B, 0x738F386, 0xE4835BAE, 0x5B55A2D0,
0x5E4B038, 0xF9F91014, 0x8FCBD1E1, 0xD98B4743, 0xB9955DAF, 0xC5373DCD, 0xBD1C8114, 0x250532F1, 0x24504E0E, 0x62D7C50, 0xE8D44154, 0xA8944044, 0x9D669995, 0x530C6FFA, 0x65167BA7, 0xE641BE,
0x811AB5D2, 0xD18A9D09, 0x6F064045, 0xBF902991, 0xC54F07FF, 0xF6962B11, 0xA4819FDB, 0x60F46A54, 0xE451815B, 0x7C197B, 0x9D44DA0C, 0x869640FF, 0x18C44D18, 0x40247F66, 0x5221F711, 0x510196FF,
0x353261EF, 0x44490E0E, 0xF994E956, 0x926C45BF, 0x7D96855F, 0x84D4C98A, 0xE06BF456, 0xC21B1641, 0x4B5CB493, 0xDA90D366, 0xE8964D44, 0x197C75DA, 0xD6D46333, 0x465E78A1, 0x1942461E, 0xC1356656,
0x58D631CC, 0xD773384C, 0x4A9940E5, 0xA0F97414, 0x53532327, 0x78107AB5, 0x3C091BA5, 0xA6469144, 0x44E45841, 0xC50D5842, 0x4A199678, 0x46365DF8, 0x5463E87, 0x8D2C1151, 0xFF5895, 0x2FD231C8,
0x6C9CD2B3, 0xD74243B2, 0xC4409CDE, 0xB8E0411F, 0x26670F05, 0x5B6697A9, 0x55464A2B, 0x2E0F569A, 0x4660E25B, 0xFE500715, 0x9C683532, 0xCB0C5949, 0x806C6592, 0x679B0156, 0xFE005F15, 0xA540FE50,
0x1F281510, 0x906D4F00, 0x57052C80, 0xA95BC0B5, 0x6C98C5CB, 0x44581E4E, 0xAD9D4846, 0x8352C7DB, 0xB21E50D9, 0xEB4607B7, 0x99AC9C77, 0x1509D9FC, 0x5460133E, 0x4244EE5A, 0xEF5A259A, 0x3439461B,
0x6B940B05, 0x59E94484, 0x5062B45E, 0x859B9363, 0xFDE48194, 0x325362D2, 0xE460FB46, 0xD78B98E7, 0x64A3D346, 0xE5B06277, 0x9F655A41, 0x676B5302, 0xEA950B7D, 0xFD158A, 0x775362B4, 0x75C21938,
0x861EB9D2, 0x589532CC, 0x1025190B, 0xD46B06FF, 0xB50E7C44, 0xCDD7A372, 0xB5B96100, 0xF2B491A1, 0x5E9960F4, 0xF1CC582E, 0x89C99575, 0x7AA1475F, 0x7B66C124, 0xD0D681EF, 0x44156E08, 0x8F1F1056,
0x6E67D240, 0x9A4C4951, 0xD451E4A7, 0xEA941B13, 0x7E470070, 0x85422E7F, 0x5B9690FE, 0xDE06E626, 0xC8854A15, 0x5A05ED4D, 0x80F46E1B, 0x9011F302, 0x4493D2D8, 0xE50D9D68, 0xFB764400, 0x64D1816F,
0x9965A616, 0xBF011811, 0x155B0252, 0x3D9DA411, 0x58D96D90, 0x5FAC14F, 0x34E09F47, 0x7470303D, 0x35316E5B, 0x84782D19, 0x6074B114, 0xDF85124F, 0x5B47B723, 0x91327673, 0x31A3C548, 0x6D04F9,
0x65DA62CC, 0x779B6270, 0x9037699, 0xD59A061B, 0xD140F5D0, 0x546F04E5, 0x197A6193, 0x150F46FA, 0xE0592151, 0x54A9D0DB, 0xAA55D851, 0x50616F64, 0x35307994, 0x1198C72F, 0x472E79D1, 0xFF01981,
0xF6195AFF, 0x58E66219, 0x69D3D67C, 0x3395C832, 0x5DA31DFF, 0xD66E7583, 0x802979D7, 0x1C419805, 0xA596916A, 0x6A464414, 0x64702547, 0xD31AB704, 0x91E6C21B, 0x41AF55, 0xC600DF64, 0x2D162960,
0xD0D9AC64, 0x921C6378, 0xD0051C18, 0xCC26969C, 0x3C856899, 0x56A9D3A3, 0xC8CCD966, 0xB42552E2, 0xFF055B5B, 0x4AC7E641, 0xE747D0DD, 0x45A5F75D, 0xFD960205, 0xA60391FD, 0x5EAD8484, 0x13D0E563,
0x11011BBF, 0xF4A4414, 0xCB5D0939, 0x1D6DE804, 0x2D6DF850, 0xB7E11431, 0x8B253410, 0x24D7A918, 0xA6591F6A, 0xFA0545, 0x10D3421A, 0x4E4CE453, 0x99C48C3D, 0x71D1C0F, 0xB4B94045, 0xE0815D05,
0x9D854214, 0xF5F06136, 0x1A58FD15, 0x4742A650, 0x7E66464A, 0xCAC5D1F2, 0x99A91441, 0xB06115FB, 0xC0F43522, 0x9CE9CDC8, 0x59EA404E, 0x5B42A707, 0x16914BD, 0x872DF087, 0x4114AE9E, 0x3B1284FE,
0x5E5E5808, 0x4680D66C, 0x364246C2, 0x65C2462E, 0x421C78A1, 0x1EB8D5EA, 0x28F24C55, 0x5021670B, 0x90BD7875, 0x71385CCA, 0xE7F07411, 0x1F11A366, 0x5FDFB852, 0x4C4DE05A, 0x9E0D9AD6, 0xE0953C84,
0xE5CC0641, 0xE01BF406, 0x51E4072A, 0x4D66B8B5, 0x272DAD04, 0xF2C3986D, 0x6D680158, 0x464B0755, 0x550047FB, 0x74B41D1, 0xAF58676C, 0x7A655241, 0x64B9505B, 0x4D1D4D8D, 0xFFA5909B, 0x2F0754C1,
0x4052256D, 0xB9D68609, 0x66615EB, 0x8A3D64D1, 0x2392D1E5, 0xF0A15ABD, 0xF7375B01, 0x699291A1, 0x607D0154, 0x6F19CDC6, 0x869DAC51, 0x11164726, 0xB0B50B1A, 0x9550E320, 0x257FF450, 0x3264669A,
0xDF5D405B, 0x819855E7, 0x6B97C0A4, 0x88394945, 0xBCF14411, 0x6ED499, 0x570193E3, 0xFA346401, 0xF479095, 0xE6E6850B, 0xB2F1615, 0x95E2160, 0x144D8A3D, 0x3932D186, 0x5B64F801, 0x1F0746E7,
0x1443EF98, 0xE8444E49, 0x4740EB50, 0xB9035B58, 0xD3D21B3E, 0xB8767699, 0x67D78366, 0xBD1187CB, 0x6C5C0C1C, 0x906D3E13, 0x9E1E6C49, 0x400598ED, 0x529106FD, 0xB4C10D2D, 0x740DC334, 0xE99458A0,
0x94C8D572, 0xD7D18228, 0x13E566E, 0x1BC3D629, 0x63136172, 0x51A1B10, 0xF305F4E0, 0x679F6813, 0xD38356EA, 0xD669C856, 0xC5CE5A4, 0xC738CB74, 0x567DB480, 0xA65F9440, 0xE207176B, 0x9D5E4A88,
0x1EFD6440, 0x1095738A, 0xF005646E, 0x19E1870, 0xEC481545, 0x2E598105, 0x55F7439F, 0xDBDB41A1, 0xE64F995, 0x6A9164A9, 0xA5191E04, 0xF4D1413C, 0x646EA056, 0xE3911263, 0x20117A65, 0xF9059304,
0x48366754, 0x12166B67, 0x868A677, 0x46DB80C0, 0x1878D69A, 0x60D26DC1, 0x405EE804, 0x84D990BF, 0xDAD54606, 0xD93365CC, 0x93B2971B, 0x31269151, 0x5F0E58C2, 0x19B96390, 0xA1AD444, 0x90286D94,
0xB1D10B7E, 0x40FAA451, 0x8276815E, 0x8669F400, 0xB5A61B12, 0x65FC9B8, 0x446AA55, 0xA11D8378, 0xAD9F4468, 0x21266E1E, 0x868544FC, 0x67520318, 0x858DD0EB, 0x86D4906F, 0x51D3A9A6, 0x9767857E,
0xD6C99C68, 0x33CC2667, 0x660795F4, 0xD1F10155, 0x86D90D16, 0xE66A1603, 0xF5F86440, 0xE98E4504, 0x17424B9A, 0xB0839F59, 0xE70438F0, 0x432A7560, 0x92D89FC5, 0x37C42399, 0x11617570, 0x249605BE,
0x101BE265, 0xEE905053, 0x4540DA59, 0x9729A4FF, 0xEE850607, 0x9FD15248, 0x50E5B323, 0x7579F946, 0x498459AF, 0x919C2C1E, 0x6AD78374, 0xB1647421, 0x9EE0B603, 0xA6D35E9, 0x96696C9E, 0x587A5003,
0x49454A9, 0x6D6D9393, 0xC98677E9, 0x4095C2EF, 0x9C608505, 0x15940C2C, 0x5B60D2DB, 0x1C8151A9, 0x60F491D2, 0x2B670453, 0x4F1964BA, 0xB4430B51, 0xA9860454, 0xB0E41E46, 0x1406B7E3, 0x562701E4,
0x20D1F6A1, 0x5352A966, 0x64E1D62F, 0x92C6ED07, 0xF882561B, 0x99195A04, 0xC934E3AC, 0xD9B91810, 0x474B04F4, 0x3D9A66, 0xCA9C10AF, 0xE1942916, 0xA125355, 0x32295C8C, 0x675A64E1, 0x9D906494,
0x6C60EB1F, 0x7874C1BC, 0x1CB53038, 0x56D0F9D1, 0xB1EB954, 0x7C781540, 0x5323619E, 0x6FE055A9, 0xE7440D22, 0x7431A347, 0x6F1BE146, 0x1015BF00, 0x62381905, 0x7025B440, 0x176AF050, 0x5D270EF1,
0x46AF4C18, 0x4B86D9ED, 0x8B177010, 0xFAD09606, 0xBFA15E50, 0x4701D72D, 0xA298A55E, 0x865CA950, 0x9B5B1227, 0xE0B9175, 0xF481F1FC, 0x7E5D0440, 0x1A697FE5, 0xDE84C5F0, 0xF9975303, 0x4CB46C54,
0x3ED0D666, 0xE6B07065, 0xF0661263, 0x117C93A0, 0xD56DB4E1, 0x2E5E0E5D, 0x873DE11F, 0x5512413E, 0x5E9CE404, 0xB4C10B7F, 0xF990E956, 0x84C95E95, 0xB5E04B1F, 0x86815BA5, 0x7A5CB26C, 0x42F41F91,
0xF4592E03, 0xF51F1300, 0x99D7810F, 0xB16051A7, 0x5B57B03E, 0xEE590B55, 0xC014FDD6, 0xF9C04505, 0x1A669669, 0x984C5F84, 0x1A6FD2E3, 0x1A075E5, 0xD80E450C, 0xD66942B6, 0xD050E31F, 0xBA605440,
0x50E7856A, 0x406E53EF, 0xF01191B, 0xBF055243, 0x9B25E9E7, 0xF892A157, 0x2D598957, 0x85896B6, 0xEF44584B, 0x170667FB, 0xD1017F38, 0xCEC58687, 0x443C6C99, 0xB5B83D3, 0xFD05D91B, 0xA6D72DD3,
0x6C98D9D0, 0xD66990E0, 0xDE850B0F, 0xE9964609, 0x8605B94B, 0x6DC0D196, 0xB194A5, 0x6F13424D, 0x9ED13215, 0x7064249F, 0x5751E0B0, 0x166F26D6, 0x559EC2F8, 0xE12C5C71, 0x59898D15, 0xBC015A05,
0x90D18B0F, 0xB0E8649C, 0x170B98D0, 0x8181F491, 0xD990498C, 0x76312925, 0x93B53402, 0xCC1C4B54, 0x2F3F5006, 0x56EC4F10, 0x1AE501E4, 0x6F4D40DB, 0xA3525D69, 0x1329E491, 0x400AF995, 0x2D5C4806,
0xB091667D, 0xCC6C1627, 0x425CD9EC, 0xF552931A, 0xA6D46580, 0xF4AE50E0, 0x1979909A, 0xF1750058, 0x3365CCD9, 0xBA166500, 0x86779739, 0x67F2611, 0x55109A0B, 0x51016A65, 0x1160BBF, 0x5A6C1401,
0xC4DC9984, 0x33534244, 0x4057113A, 0xF1F431C1, 0xF8A44BE5, 0x1A976851, 0xB9B5C28F, 0xFE099454, 0xB065B8B5, 0xC0217707, 0xF3831BD1, 0x9757401B, 0x1D293580, 0x7A951200, 0x20615AF5, 0x6272757,
0xE0FC2907, 0xD860B5C1, 0x985F89C, 0xC25C2C5F, 0x7F941C01, 0xA95A450A, 0x44D89A95, 0xCE1C0C58, 0x194184F9, 0x579BB371, 0x90111F40, 0x5F037075, 0xBB516996, 0x4EC9791, 0xCCEC9C44, 0x5D8404F8,
0x48FE9D1, 0x4792E3E2, 0x6F35E381, 0x5F0350FB, 0xFF6C56, 0x6050A5F7, 0x589625C9, 0x8F79061D, 0x11D0421F, 0x9061F184, 0x504662BE, 0x8FC7D190, 0xB4404627, 0xEA1F1B03, 0xAF59D0EA, 0x79E50E04,
0xCF80445D, 0x4191D38B, 0x8F51328, 0x6653E282, 0x8C5C3573, 0x90E05929, 0xC5910D2B, 0xAE479D46, 0x2F7C1610, 0x24B1637E, 0xCB001F55, 0x118384B5, 0xA3421710, 0xAA0725F4, 0xE9C0959A, 0xE5E74114,
0x4A44CB25, 0x1763BD90, 0x1B095404, 0xCF09D095, 0x5B8344AC, 0xC5C0F9D1, 0xA7615441, 0xE990474B, 0x63536723, 0x1E305BA6, 0xE56B066B, 0xCA817916, 0x9F798578, 0xD7692E06, 0x56F01481, 0x37215100,
0x17111401, 0xF890F955, 0xA68D68D6, 0xD64A06F0, 0x9F65D9D2, 0xBE90095F, 0x9967072F, 0xE01C947B, 0x12235709, 0x589DFD, 0xBB154A41, 0x2D5DC01F, 0xC58B5C08, 0xCB64DC4C, 0x9F9393AC, 0x7303467E,
0x599EC984, 0x46E111FC, 0x7A679404, 0xA90647FB, 0x40EE949A, 0x77076E08, 0x10736423, 0x53D90AB, 0x1F510BB, 0x85CC253A, 0xAA905666, 0x45EC0B4, 0x835121F1, 0x2E5A4247, 0x1D8664A0, 0x51442CE0,
0xDD88451E, 0xE85C0113, 0xFA409601, 0xA4211627, 0x459F50BA, 0x984C458A, 0xE65A60D7, 0x958143B2, 0xD3835BFA, 0xF727F110, 0x4F074354, 0x11113D3D, 0x1558312B, 0xFF08E6D6, 0x89BC5910, 0x99F99287,
0x40D4183F, 0xDA66A550, 0xA45CE279, 0x7F97A251, 0xB1B025F, 0x70772265, 0xF0E21E16, 0xE79959B5, 0x496669C6, 0xECD00716, 0x5619ECE1, 0x6E5C11F, 0x1101FFF8, 0x55A01DCB, 0xA5053970, 0x3D448855,
0x9F92E540, 0x35B8A4D0, 0x84119CA7, 0x5429406F, 0x90E05B56, 0x3752E1D8, 0xE1B42D87, 0x9454B0F1, 0xDD382505, 0x1904ED6F, 0xD94D0C58, 0x7C52031F, 0x14B06706, 0x79928799, 0x40149BC7, 0xE9DCD6D0,
0x104F4D1, 0xD9663448, 0xBD85D003, 0x358CCDA3, 0x66F5412B, 0x6E65066A, 0x6E19B161, 0x55D1AA50, 0x785C9D30, 0x162530BE, 0x7AE64548, 0xA51B9B0E, 0xF9A56400, 0x32CE35DB, 0x17285370, 0xB0117B76,
0x7CE04741, 0x9D0C51A4, 0xBF004D55, 0xAAD5AC11, 0x6599CB41, 0xFBD09444, 0x936291E5, 0x2D5EA056, 0x1129656A, 0x7FC09506, 0xD44149C8, 0xBA750352, 0xD2431943, 0x7967E182, 0xB813C497, 0x24219465,
0xC43C9169, 0x6FD81483, 0x6152E3C, 0x59947B6, 0x27F90D12, 0x54046D2A, 0xD521309B, 0xE6653921, 0x9164F4F1, 0x1521FB4A, 0x61C54C38, 0x416484BF, 0x2776B11F, 0x59A9D884, 0xED806B54, 0x1BB0D59B,
0x4E8D91A1, 0x782FD131, 0xC05A0377, 0x7A121126, 0xDFC5D0E0, 0xEF859E05, 0x7BB60515, 0x5DD26D89, 0x2E291157, 0x9F2F3530, 0xC08156A9, 0x6D91CDC5, 0xF1548117, 0xB52517FE, 0x2053E947, 0xAB5785C5,
0x479A91E0, 0x9F90FE01, 0x312484DE, 0x441BC1A5, 0x66B501F5, 0xC4617A5B, 0x916BB0F4, 0x20657C7A, 0xE25390FF, 0x1F3861B4, 0x550586AF, 0x6B8599D4, 0x9F4294EC, 0xF4D48147, 0xD0965233, 0x1E05CFED,
0x59176903, 0x2D2976C, 0xCD33338C, 0x1441E4AD, 0x4196C088, 0xF6079403, 0x969DC030, 0x64990D29, 0x2453F372, 0x8658909B, 0x458046FB, 0x11A185C4, 0x58FC1144, 0x31E641A, 0x8E47709E, 0xF1611277,
0x61F907A, 0xB7100F5C, 0x5A170B19, 0x160557E, 0x55B39D0, 0xC0C556EF, 0xBBF50299, 0xD1D23E12, 0x69588543, 0x4546890, 0x90FA4115, 0x11C5ED8, 0x68B74789, 0xC06F0117, 0x172790AD, 0x606DAC54,
0x8D488154, 0x8444EC98, 0x9A6592D3, 0xE5E15040, 0xDB031762, 0x2F099450, 0x404F0F5A, 0x1D09E9F4, 0x56045E1F, 0xF9C99F00, 0x136C6599, 0xB0C36E91, 0x1C2835B0, 0x60BE6B5, 0x462FB4D1, 0xCB19B6D7,
0x6C48C4D9, 0xD0D19B69, 0xA5E544FC, 0xE4851E31, 0x41E464B8, 0x59C6F9D4, 0xF0A6527E, 0x5333D1E0, 0x4862F606, 0x72370631, 0xC2B490C5, 0x4643DE5C, 0x54F9C489, 0xFC526C40, 0xB0A56895, 0x45C1C134,
0x768F1981, 0x6E295005, 0x950B6964, 0x4B4CD5E9, 0xEB131245, 0x447F844, 0x131B1D76, 0x99981A7, 0x500B1F0A, 0x91011B1B, 0x64E64709, 0xA45C8145, 0xB53001D1, 0xDB462885, 0xBE06D015, 0x4858541B,
0x6C86C3B5, 0x70A1967B, 0x969B0414, 0xEF485C04, 0x7FE151C1, 0xEBE7F444, 0x5341990B, 0x71D58060, 0xF5A61E10, 0x79F2C53, 0xE5E41F00, 0xBFF4505, 0xE01BB4E9, 0xBFE3905D, 0xDB7664D0, 0x956A065B,
0x12894E1, 0xBF14B401, 0x30F7A97, 0xA85C97E0, 0xF40643E9, 0xF8506706, 0x9B9B06AB, 0x5AA05995, 0x45448E3D, 0xE1D1907F, 0x24F4C22C, 0x82C2959A, 0xBF065243, 0x8785812D, 0x9A94A916, 0x315B2C60,
0x523291D9, 0xF2991609, 0x2830579C, 0x999973CC, 0x4B14C098, 0xC1C5053, 0xD1C1C68A, 0x64B67F3, 0xD09B801D, 0x6A7C1044, 0x48580954, 0x859F095A, 0x46533620, 0x592C852D, 0xA5419141, 0x4D16A1D0,
0xB0B153B, 0xE1944E4A, 0x21371633, 0xCEC9C4E4, 0xA5D70E08, 0x4E4C4DD, 0x591CAC04, 0x5B021DBC, 0x9967CC33, 0x81C0E5FD, 0xF651C104, 0x966760C9, 0x95E1303C, 0xEC5C6440, 0x50BF9F4, 0x3561C31E,
0x45A096AD, 0xFF92500B, 0xF6598904, 0x19F9C50B, 0x60C64D18, 0xD640584F, 0x2194E1F3, 0xF031163D, 0x101B56E0, 0xDE5921DA, 0xBF01FD1, 0x706FD94, 0x34CB30CE, 0xB857061C, 0x5225B609, 0xC43C3135,
0xC03B9350, 0xF001676F, 0xF0C18767, 0x6611391B, 0x4F89A46, 0x1F42441A, 0x649F0F46, 0xB5E0015E, 0x7966830E, 0x9740F4F7, 0xC8CC4451, 0x59BD404B, 0xCC9435E1, 0x3B15B2A0, 0x123C1607, 0x59468D90,
0x40E0D749, 0x14C1F46E, 0x448BD6A9, 0x659AF556, 0x50E7435B, 0xAED2933C, 0x56051308, 0xCE146E50, 0x1C904F10, 0xEC485E0D, 0x169A936C, 0x51633605, 0xDB57A830, 0x62957AB, 0xF4F14448, 0x45CAD5D,
0x695CC006, 0x104606B9, 0x81D1D86D, 0x8649F050, 0x20D1DB56, 0xE5E53CC0, 0xCB470256, 0xC629E494, 0x49385F8F, 0x65056E31, 0x9C86F095, 0xC8CC9865, 0x869D8118, 0xD1021F11, 0x87DAD1E2, 0xAF04D500,
0x4518464, 0xB857B085, 0x4505E834, 0xB1E25F04, 0xD8DD9084, 0x35978C33, 0x11A64257, 0x991A1E41, 0x66B06752, 0xBAF41443, 0xBD4A4544, 0xD6753B66, 0xCAC6C639, 0x154480FD, 0x99D19BC, 0x546EE442,
0xD0C0193E, 0x7491E21F, 0x24B0B3C7, 0xF981D501, 0x74438B58, 0x54C47391, 0x9EDD1180, 0xE697874F, 0x2E41F8E5, 0x468FDD9, 0x4F1E439C, 0x5542EB81, 0xA554FAE0, 0x1E43E2B0, 0x606D5898, 0x6587C4E8,
0x6B86C511, 0x6050A6D3, 0x1C523485, 0xF2530396, 0x4A2D5884, 0x6FD09193, 0x29978F84, 0xFE490999, 0x9189675E, 0x99277401, 0xDD6F2494, 0x8CD39344, 0xB5783D9, 0xC859EE, 0xAC701503, 0x8FC1D7E1,
0xA0854317, 0xD09E8444, 0x4510F2BD, 0xED484CD4, 0xDE5D0C1C, 0xC0854367, 0xD1642134, 0x503876E, 0x7C046A5E, 0xE5644035, 0x3D043173, 0x5DE8991, 0xA603D6D0, 0x70644B1B, 0x41C3F55, 0x799EC50,
0x5C1D005A, 0xB54027BB, 0x501703FB, 0xCE5E2D84, 0xC248776B, 0x34C31DB1, 0xD08146F6, 0x6194D488, 0x902D95DF, 0x56239699, 0x79566996, 0x46366797, 0x2075B449, 0xE619904B, 0xF1FC491D, 0x4026925F,
0x85CE994, 0xC62D651B, 0xE0F50B4, 0x60976F55, 0x5B7706A6, 0x49471F41, 0xF6D91352, 0x551A062F, 0x4145CFCA, 0x55B14234, 0xABF12531, 0xB915F0F4, 0x8AC7E275, 0x4679C12F, 0xE21353EC, 0x693602A5,
0x4BC256AB, 0x463D64A6, 0x5E7C6B8, 0x143983F0, 0x3646871A, 0x601D1FE, 0x4D4601FC, 0xB489D0DF, 0xF7814046, 0xE5A50BA7, 0xB34A116, 0x707C4151, 0x804466BB, 0xCF450C5C, 0x1329B9F4, 0xFE400655,
0xF4A1431B, 0x51D3202D, 0x74B0A444, 0xA6F1612, 0x6C584C8C, 0xC014F665, 0xD3982957, 0x36C136D1, 0x5C45CCD0, 0x9F459882, 0x91A753A2, 0xA9752C4C, 0x421B4297, 0x776A2313, 0x35397906, 0x48065762,
0x1129B440, 0xAF410B5D, 0x7F9582D2, 0x4B51E650, 0x891D0D77, 0xE59909E5, 0x705D234B, 0xC3DA9055, 0xF1B11501, 0x44BC94D9, 0x1FA55C48, 0x2A422657, 0xC41091A1, 0x18970E74, 0x7699099, 0x10616AD7,
0x1AE19F10, 0x475A6C31, 0xA27257E9, 0xC484582C, 0xD699665A, 0x17C94C18, 0xE1569B, 0x11855ABF, 0xA580D607, 0x64C18B7E, 0x7030A605, 0x2B3660D0, 0x165BE103, 0x809E1867, 0x47407FD7, 0x34E4858B,
0x90ED740B, 0x1B43C2F5, 0xF451527C, 0x5723E1C5, 0xE1D1065B, 0xA51A9DF4, 0x7F099A85, 0x4157030B, 0x1D9F60B8, 0xC11491FD, 0xFE850A55, 0xB990431F, 0xA0C78D16, 0x6F5A4D40, 0xFE4411E, 0x34426B56,
0x5014FE0F, 0xBD5DC51A, 0xC63637C3, 0xE1B459B2, 0xFA871B05, 0x4544D0AD, 0xE5E5093D, 0x3306C5DD, 0x47C33484, 0x6F1E146, 0xE4974F1, 0xDD48050F, 0xAB151E12, 0x5169FC92, 0x5055B27A, 0xD142AD5C,
0x4B16B0F4, 0x312BC955, 0x75B10FC, 0x4A9E0458, 0xA65D34CE, 0x90D366CF, 0x10099D29, 0x8B358419, 0x87D2B5DA, 0x31162EF5, 0xF61989C5, 0x1F4341F8, 0xBC4C6D9C, 0x11A759, 0x9553A21, 0xCFC41530,
0x1F05B610, 0x5B2F64C0, 0x117F1124, 0xF3D24D9, 0x44447874, 0x74351A06, 0x64C48979, 0x63C185B, 0x91F094A4, 0x4E1D1C48, 0x969103AE, 0x9CFC6067, 0x2FC94045, 0xED3844C4, 0x676C935B, 0x6E2091B5,
0x2D9744EC, 0x6A111227, 0x78DB90E5, 0x8045587E, 0xC4E4591E, 0x479BE1E0, 0x5B667499, 0x50E0493E, 0xFB54819C, 0x431491F8, 0xD3EF50E0, 0x7363926, 0x50FF6440, 0x44DC6C9D, 0xF6D9965A, 0x548499,
0x150A1403, 0xC7324CC7, 0xAFF0474B, 0xB479966E, 0xAD9E5451, 0xF9913C41, 0x1F09B46, 0x3E35461E, 0xA0C66C10, 0xA4D1D103, 0xA05470B4, 0x6F1A3531, 0x4047B2F5, 0x11472CE0, 0x3AE41631, 0xFD36A905,
0xF4436F91, 0x4A419766, 0x50699E67, 0x5408D93D, 0x112711AF, 0xF500642F, 0x160BD66A, 0x11B0BFE, 0xC2C55CA1, 0x31CF859, 0xC6C95401, 0xD9C0E5C1, 0xE46056AE, 0xF5E30710, 0xA5FF0150, 0x4454203F,
0xB6660959, 0x2522776, 0x2D586970, 0x7370757, 0x60953317, 0x81E7072D, 0x68149E6, 0x653834, 0x363D9D81, 0xB429113F, 0x566C0258, 0x51F92F00, 0xE19C5812, 0x11FB150, 0x59A65200, 0x2775E0F4,
0x106752A3, 0x7574326, 0x5CC34739, 0xDAD54805, 0x5E936BC7, 0xCFCAC5C9, 0x2FC42555, 0xD06994C0, 0x5CAC7400, 0x5D84D074, 0x6D668604, 0xE50B19BD, 0xE7969F55, 0xFF925005, 0x65B266B, 0x4743035E,
0x972C44C7, 0x5AB47260, 0x77123580, 0xD92DB404, 0x451BB8D1, 0xB94B4447, 0x9B955210, 0xA253815, 0x79AC5184, 0xE3D10C5C, 0x452410FB, 0xDFD3A148, 0xE0336E46, 0x4E287599, 0x12B750A9, 0xDAC0DE47,
0xC18459A9, 0xC764CD30, 0x2334675E, 0xF6490DB8, 0x49172679, 0x659B6994, 0x7A912691, 0xB2B76074, 0xB9E58704, 0xCC33D9A9, 0x207F6A7, 0xC405F801, 0x560297CF, 0x48140E5F, 0xC44E676A, 0xB191DED,
0x11035F60, 0x5B1F60B4, 0xA4EB1443, 0x5A6C06E6, 0x1915AE9, 0x33CD2696, 0x879F4444, 0xD442170B, 0xC9C9D9D6, 0xA1D4C124, 0xC40366B7, 0x22497E9, 0xCD18D7F9, 0x99FD111A, 0x9F6B53A1, 0xE051ABFC,
0xBC10071D, 0xA566A759, 0x6DBC5E5, 0x4A9DA851, 0x2266B15, 0x123D6E9B, 0x66E05449, 0xD10D3870, 0x1706E462, 0xAF0B9B51, 0xE0109D6C, 0xF144861B, 0x813ED01B, 0xB6496C10, 0x1ED00768, 0x60747C10,
0x46494376, 0x5E4C10B0, 0x573D5906, 0x5A02E5FE, 0xB3E005F2, 0xC05C4F45, 0xDBD58982, 0x6D13171F, 0x9741FA00, 0x61DB852, 0x8D46D299, 0x47421E4D, 0x74A94E6, 0x4DA31CD3, 0x681602FF, 0xC67962D7,
0x1560BBA, 0xF8849D85, 0x7DD6D5B8, 0x5B6B4640, 0x441A349F, 0x61B3601F, 0xD550E2D3, 0xCF18111B, 0x97673333, 0xC59909E4, 0x57DAE840, 0xBB910E5, 0x144484F9, 0xA85C2511, 0x4092D5EA, 0x89910391,
0x7D385500, 0x3D1D2176, 0x802FD41B, 0xA5D94890, 0x656E9099, 0xE66906E6, 0x4331A2D5, 0x4478E25B, 0xE78C41D, 0x3565D979, 0x4147133B, 0x89C6C64A, 0x45C9CDCF, 0x532315FA, 0x3E5A0D04, 0xB111DBFC,
0x63162FF7, 0x9E0B9CD0, 0xA758E46B, 0xA097421F, 0xAE544262, 0xA59A5DDD, 0x3732261D, 0x71736790, 0x8895A173, 0x687470B1, 0x57E564FE, 0x6A765404, 0xF5E21482, 0x667150E1, 0xC0A764D9, 0x89950C14,
0x3756912B, 0x3913499, 0x6FB553C3, 0x29920995, 0x750EC738, 0xC35C6992, 0xAA55E404, 0xCB4B0753, 0x20396156, 0xDB04F4C1, 0x7876825F, 0xD562319A, 0x592D121B, 0xF9360956, 0x47811B47, 0xD9BD5884,
0x170A35E, 0x844EE59A, 0x8684EDDA, 0x405F1000, 0x813641A7, 0x176681A2, 0x7DBE6440, 0x87C6A54, 0xC485D905, 0x1AB0811D, 0xDBA59291, 0xFA52817C, 0x3981E5F0, 0x5109FEE5, 0xC1284557, 0x573B2703,
0x30640659, 0xF1D3E997, 0x906253B7, 0x9076C3FD, 0xCA34D35C, 0xF481491C, 0x5976A4C0, 0x3FF1144, 0x26170649, 0x196B9065, 0x90693D09, 0xF0211A17, 0xAF016DD4, 0x4E449C48, 0x6F9A84F4, 0xB4449818,
0x606DB144, 0x916B97A6, 0xEBD0FD19, 0xAA08D541, 0xD71BE505, 0x1E6507AF, 0x3E4B1361, 0xF391619, 0x4264BC50, 0x60563321, 0x4A370617, 0x436452E7, 0xBE107604, 0xDDA9C18E, 0xBF5B0371, 0x906F1107,
0x55C5C83C, 0x31364782, 0x68DD9F1, 0xF99607E6, 0x2996367E, 0x5AF4458, 0x96582D30, 0xC4E4D98A, 0xE68719BE, 0x20C56C64, 0x5A550246, 0xB759B079, 0x64439BFB, 0xB1240D2E, 0x271350B2, 0x4314AF56,
0xA9998D72, 0x5E8D1481, 0xB65D7253, 0x669392B8, 0xF0919B6C, 0x9F9790DD, 0x60979838, 0x3D625168, 0x12196D58, 0x59E9448A, 0x30547C92, 0x8E317590, 0x7B954843, 0x323D4907, 0x5A4D5308, 0xD10490DB,
0x92CE4511, 0xB9353125, 0xA91F4050, 0xDC485D08, 0x2F11742, 0xB9B4090F, 0xD09891FF, 0x9503936, 0x80E3505F, 0xED99405F, 0xEA9058DE, 0x55019FC0, 0x9A1F412C, 0x471660DA, 0xF4D0C505, 0x4926666D,
0x4191C3EF, 0x1A0526F5, 0x55F889C7, 0xD33CC738, 0x7A66C601, 0xF701C662, 0x6E953906, 0x6E6559AD, 0x1626C57A, 0xE0075266, 0x67069A5B, 0xA5F70401, 0x47786090, 0x8111C53B, 0xB4640B1A, 0x269D5DAE,
0x50C4A474, 0x2A94987D, 0x44C05226, 0x6114423F, 0xB8474F1D, 0x8E0E05D8, 0x87B40FD2, 0x1F4392FD, 0x170E995, 0x1563DE0, 0x6F9AC5CA, 0x752A0D1D, 0xFF0A44D0, 0x7FD0D366, 0x51A62E05, 0xD0D5E8DE,
0x56113F30, 0xE4056D87, 0xAB3B5100, 0x46539C6, 0x7F676290, 0xB851130D, 0xF5E09183, 0x64AC5D2D, 0x55F9404B, 0xE256F977, 0x70617760, 0xEE48E450, 0xDD5E35C8, 0x94D400F8, 0x446A0667, 0xEA935184,
0x464B07F8, 0x8C74B6D4, 0x8D9D59A5, 0xCEC6ADD5, 0x2D0956A3, 0xA5BA5103, 0x31353123, 0x55FF4140, 0xA2440F15, 0x89266792, 0x44E1E154, 0xE5B41338, 0x2FCE9901, 0x95E6811B, 0x475C871, 0xAE9E4A44,
0x5E0D141, 0xE702D66B, 0x474707E2, 0x6486CBC5, 0x7476016E, 0xB1D29B56, 0x7A34C605, 0x51427906, 0xE7967F97, 0x65D29C90, 0x55081AD, 0xD6E64045, 0x67134368, 0x9101E6DD, 0x68957841, 0x3D3D5909,
0xE0525BAF, 0x134A4D3C, 0xC1B11909, 0x16493B76, 0x6B96D0A0, 0xBF0E79D6, 0x2C7096F9, 0x90FC04D6, 0x1742E472, 0x531CA1AC, 0xDAD08646, 0x9066669, 0xA7588D86, 0x913C54C2, 0x742A4514, 0x17111ABC,
0xDDD7EDE5, 0x6699C498, 0x75313135, 0xE4995F64, 0x2582667E, 0x9C5C4C48, 0x1D0D10D9, 0x5B4C164, 0x46E616CB, 0xD18444BF, 0xE1D4695C, 0x40095E99, 0xECE02955, 0xFF40A411, 0x54D2421B, 0xE1C7DB05,
0x80E5095D, 0x6745E907, 0xA6197007, 0x760674F9, 0x1522170A, 0x65181FF, 0xE0FDA45, 0x521C7867, 0x6B91D382, 0x657A83C1, 0x73C98C35, 0xB3CC31D6, 0x164B257B, 0x6F9605F9, 0x52F49EB5, 0x87592907,
0x1B10D6F8, 0x949FD54, 0x910315BA, 0x40F09B47, 0xB761C144, 0x6D039D5, 0x59B113F, 0xE5C6D9, 0x176990FB, 0x90F8A465, 0x6DB8D144, 0x4552E392, 0xC94396B9, 0x36315A97, 0x7E874215, 0x40116F6F,
0xDF193401, 0x70689317, 0x7E021740, 0xD5C044BD, 0xF1636E94, 0x5B0D34A1, 0x1027F689, 0x44A45590, 0xD443035F, 0xD7A4418C, 0xD949F480, 0x84C1E154, 0x6090966E, 0x40B56C1E, 0x9669C540, 0xA6305505,
0x1667E244, 0xC245885D, 0xD504A5E, 0xA4F0C549, 0x358472A8, 0xC414BF20, 0x43369729, 0xB1112711, 0x78644352, 0x811CB856, 0x6F9792F0, 0x1E1E4195, 0x62C58C14, 0x2619D3A2, 0x998056BD, 0x653F3410,
0x919184E4, 0x64906D6C, 0xE3D7996, 0x47660563, 0x50A91F03, 0x49F8C5CB, 0xFE15235E, 0x9783451, 0x716257B7, 0x1AB5351, 0x1710DC84, 0x3FA01D5A, 0x9844AD64, 0xE4D901BC, 0xEE546352, 0xF9547987,
0xF6834B47, 0xB651F6D, 0xE09C9045, 0xE491424E, 0x94F9050B, 0x7DA6091D, 0xB5C14D74, 0x123A699D, 0x1F413CC3, 0x9F434158, 0x55D8C8C4, 0x51106FF, 0xD36CB1C, 0x1541FCE1, 0xC3344ED3, 0x3E29D905,
0x150A6579, 0x502475A, 0x454B0F04, 0x65902722, 0x9EA055, 0x26568CC5, 0x7EB1443, 0x42186F96, 0x132357A9, 0x74091F13, 0xEE55480F, 0x7A0B4A45, 0xF01A8637, 0x937D68D5, 0xE2611115, 0x8A853663,
0x60D295AB, 0x1946461A, 0xBB5190A1, 0x6D514218, 0x7C6482CF, 0x8759ACC8, 0x7E86C805, 0x42D3755F, 0xF4C10529, 0x471F1400, 0x5394238C, 0x112D54A8, 0x55E450F8, 0xDC2191BA, 0xA5F93011, 0x1A2159F5,
0x4051A297, 0x66066999, 0xA644C058, 0x54EC9148, 0xFAFB0146, 0x1150FCEC, 0x4141D171, 0xF09F0444, 0x488E5E0E, 0x3D190F10, 0x406E405F, 0xFE9904AD, 0x101F5C6F, 0x454B093B, 0x40946C1F, 0xF0B966D,
0xC16464DB, 0x91E2D6F9, 0x97789074, 0x537C5C40, 0x44A533C3, 0x74102B33, 0x40D425C1, 0xD748C936, 0x786619C9, 0x40917985, 0x66594C1C, 0x2F05D2D2, 0x8C711B4, 0xF9602757, 0x1013854A, 0x7D6296D0,
0x3D99B8F0, 0x495D3243, 0x916864BE, 0x4E43B947, 0xE756A110, 0xA8D09D7D, 0xBF625095, 0xC1D48F87, 0x8BD47099, 0xDB631315, 0xE54139A0, 0xE4DC9C63, 0x846C2544, 0x4F0E04D1, 0xE0B15B26, 0x3249499D,
}
/**** ended inlining basisu_global_selector_cb.h ****/
;
const uint32_t g_global_selector_cb_size = sizeof(g_global_selector_cb) / sizeof(g_global_selector_cb[0]);
void etc1_global_selector_codebook::init(uint32_t N, const uint32_t* pEntries)
{
m_palette.resize(N);
for (uint32_t i = 0; i < N; i++)
m_palette[i].set_uint32(pEntries[i]);
}
void etc1_global_selector_codebook::print_code(FILE* pFile)
{
fprintf(pFile, "{\n");
for (uint32_t i = 0; i < m_palette.size(); i++)
{
fprintf(pFile, "0x%X,", m_palette[i].get_uint32());
if ((i & 15) == 15)
fprintf(pFile, "\n");
}
fprintf(pFile, "\n}\n");
}
enum etc_constants
{
cETC1BytesPerBlock = 8U,
cETC1SelectorBits = 2U,
cETC1SelectorValues = 1U << cETC1SelectorBits,
cETC1SelectorMask = cETC1SelectorValues - 1U,
cETC1BlockShift = 2U,
cETC1BlockSize = 1U << cETC1BlockShift,
cETC1LSBSelectorIndicesBitOffset = 0,
cETC1MSBSelectorIndicesBitOffset = 16,
cETC1FlipBitOffset = 32,
cETC1DiffBitOffset = 33,
cETC1IntenModifierNumBits = 3,
cETC1IntenModifierValues = 1 << cETC1IntenModifierNumBits,
cETC1RightIntenModifierTableBitOffset = 34,
cETC1LeftIntenModifierTableBitOffset = 37,
// Base+Delta encoding (5 bit bases, 3 bit delta)
cETC1BaseColorCompNumBits = 5,
cETC1BaseColorCompMax = 1 << cETC1BaseColorCompNumBits,
cETC1DeltaColorCompNumBits = 3,
cETC1DeltaColorComp = 1 << cETC1DeltaColorCompNumBits,
cETC1DeltaColorCompMax = 1 << cETC1DeltaColorCompNumBits,
cETC1BaseColor5RBitOffset = 59,
cETC1BaseColor5GBitOffset = 51,
cETC1BaseColor5BBitOffset = 43,
cETC1DeltaColor3RBitOffset = 56,
cETC1DeltaColor3GBitOffset = 48,
cETC1DeltaColor3BBitOffset = 40,
// Absolute (non-delta) encoding (two 4-bit per component bases)
cETC1AbsColorCompNumBits = 4,
cETC1AbsColorCompMax = 1 << cETC1AbsColorCompNumBits,
cETC1AbsColor4R1BitOffset = 60,
cETC1AbsColor4G1BitOffset = 52,
cETC1AbsColor4B1BitOffset = 44,
cETC1AbsColor4R2BitOffset = 56,
cETC1AbsColor4G2BitOffset = 48,
cETC1AbsColor4B2BitOffset = 40,
cETC1ColorDeltaMin = -4,
cETC1ColorDeltaMax = 3,
// Delta3:
// 0 1 2 3 4 5 6 7
// 000 001 010 011 100 101 110 111
// 0 1 2 3 -4 -3 -2 -1
};
#define DECLARE_ETC1_INTEN_TABLE(name, N) \
static const int name[cETC1IntenModifierValues][cETC1SelectorValues] = \
{ \
{ N * -8, N * -2, N * 2, N * 8 },{ N * -17, N * -5, N * 5, N * 17 },{ N * -29, N * -9, N * 9, N * 29 },{ N * -42, N * -13, N * 13, N * 42 }, \
{ N * -60, N * -18, N * 18, N * 60 },{ N * -80, N * -24, N * 24, N * 80 },{ N * -106, N * -33, N * 33, N * 106 },{ N * -183, N * -47, N * 47, N * 183 } \
};
DECLARE_ETC1_INTEN_TABLE(g_etc1_inten_tables, 1);
DECLARE_ETC1_INTEN_TABLE(g_etc1_inten_tables16, 16);
DECLARE_ETC1_INTEN_TABLE(g_etc1_inten_tables48, 3 * 16);
//const uint8_t g_etc1_to_selector_index[cETC1SelectorValues] = { 2, 3, 1, 0 };
const uint8_t g_selector_index_to_etc1[cETC1SelectorValues] = { 3, 2, 0, 1 };
static const uint8_t g_etc_5_to_8[32] = { 0, 8, 16, 24, 33, 41, 49, 57, 66, 74, 82, 90, 99, 107, 115, 123, 132, 140, 148, 156, 165, 173, 181, 189, 198, 206, 214, 222, 231, 239, 247, 255 };
struct decoder_etc_block
{
// big endian uint64:
// bit ofs: 56 48 40 32 24 16 8 0
// byte ofs: b0, b1, b2, b3, b4, b5, b6, b7
union
{
uint64_t m_uint64;
uint32_t m_uint32[2];
uint8_t m_bytes[8];
struct
{
signed m_dred2 : 3;
uint32_t m_red1 : 5;
signed m_dgreen2 : 3;
uint32_t m_green1 : 5;
signed m_dblue2 : 3;
uint32_t m_blue1 : 5;
uint32_t m_flip : 1;
uint32_t m_diff : 1;
uint32_t m_cw2 : 3;
uint32_t m_cw1 : 3;
uint32_t m_selectors;
} m_differential;
};
inline void clear()
{
assert(sizeof(*this) == 8);
basisu::clear_obj(*this);
}
inline void set_byte_bits(uint32_t ofs, uint32_t num, uint32_t bits)
{
assert((ofs + num) <= 64U);
assert(num && (num < 32U));
assert((ofs >> 3) == ((ofs + num - 1) >> 3));
assert(bits < (1U << num));
const uint32_t byte_ofs = 7 - (ofs >> 3);
const uint32_t byte_bit_ofs = ofs & 7;
const uint32_t mask = (1 << num) - 1;
m_bytes[byte_ofs] &= ~(mask << byte_bit_ofs);
m_bytes[byte_ofs] |= (bits << byte_bit_ofs);
}
inline void set_flip_bit(bool flip)
{
m_bytes[3] &= ~1;
m_bytes[3] |= static_cast<uint8_t>(flip);
}
inline void set_diff_bit(bool diff)
{
m_bytes[3] &= ~2;
m_bytes[3] |= (static_cast<uint32_t>(diff) << 1);
}
// Sets intensity modifier table (0-7) used by subblock subblock_id (0 or 1)
inline void set_inten_table(uint32_t subblock_id, uint32_t t)
{
assert(subblock_id < 2);
assert(t < 8);
const uint32_t ofs = subblock_id ? 2 : 5;
m_bytes[3] &= ~(7 << ofs);
m_bytes[3] |= (t << ofs);
}
// Selector "val" ranges from 0-3 and is a direct index into g_etc1_inten_tables.
inline void set_selector(uint32_t x, uint32_t y, uint32_t val)
{
assert((x | y | val) < 4);
const uint32_t bit_index = x * 4 + y;
uint8_t* p = &m_bytes[7 - (bit_index >> 3)];
const uint32_t byte_bit_ofs = bit_index & 7;
const uint32_t mask = 1 << byte_bit_ofs;
static const uint8_t s_selector_index_to_etc1[4] = { 3, 2, 0, 1 };
const uint32_t etc1_val = s_selector_index_to_etc1[val];
const uint32_t lsb = etc1_val & 1;
const uint32_t msb = etc1_val >> 1;
p[0] &= ~mask;
p[0] |= (lsb << byte_bit_ofs);
p[-2] &= ~mask;
p[-2] |= (msb << byte_bit_ofs);
}
// Returned encoded selector value ranges from 0-3 (this is NOT a direct index into g_etc1_inten_tables, see get_selector())
inline uint32_t get_raw_selector(uint32_t x, uint32_t y) const
{
assert((x | y) < 4);
const uint32_t bit_index = x * 4 + y;
const uint32_t byte_bit_ofs = bit_index & 7;
const uint8_t* p = &m_bytes[7 - (bit_index >> 3)];
const uint32_t lsb = (p[0] >> byte_bit_ofs) & 1;
const uint32_t msb = (p[-2] >> byte_bit_ofs) & 1;
const uint32_t val = lsb | (msb << 1);
return val;
}
// Returned selector value ranges from 0-3 and is a direct index into g_etc1_inten_tables.
inline uint32_t get_selector(uint32_t x, uint32_t y) const
{
static const uint8_t s_etc1_to_selector_index[cETC1SelectorValues] = { 2, 3, 1, 0 };
return s_etc1_to_selector_index[get_raw_selector(x, y)];
}
inline void set_raw_selector_bits(uint32_t bits)
{
m_bytes[4] = static_cast<uint8_t>(bits);
m_bytes[5] = static_cast<uint8_t>(bits >> 8);
m_bytes[6] = static_cast<uint8_t>(bits >> 16);
m_bytes[7] = static_cast<uint8_t>(bits >> 24);
}
inline bool are_all_selectors_the_same() const
{
uint32_t v = *reinterpret_cast<const uint32_t*>(&m_bytes[4]);
if ((v == 0xFFFFFFFF) || (v == 0xFFFF) || (!v) || (v == 0xFFFF0000))
return true;
return false;
}
inline void set_raw_selector_bits(uint8_t byte0, uint8_t byte1, uint8_t byte2, uint8_t byte3)
{
m_bytes[4] = byte0;
m_bytes[5] = byte1;
m_bytes[6] = byte2;
m_bytes[7] = byte3;
}
inline uint32_t get_raw_selector_bits() const
{
return m_bytes[4] | (m_bytes[5] << 8) | (m_bytes[6] << 16) | (m_bytes[7] << 24);
}
inline void set_base4_color(uint32_t idx, uint16_t c)
{
if (idx)
{
set_byte_bits(cETC1AbsColor4R2BitOffset, 4, (c >> 8) & 15);
set_byte_bits(cETC1AbsColor4G2BitOffset, 4, (c >> 4) & 15);
set_byte_bits(cETC1AbsColor4B2BitOffset, 4, c & 15);
}
else
{
set_byte_bits(cETC1AbsColor4R1BitOffset, 4, (c >> 8) & 15);
set_byte_bits(cETC1AbsColor4G1BitOffset, 4, (c >> 4) & 15);
set_byte_bits(cETC1AbsColor4B1BitOffset, 4, c & 15);
}
}
inline void set_base5_color(uint16_t c)
{
set_byte_bits(cETC1BaseColor5RBitOffset, 5, (c >> 10) & 31);
set_byte_bits(cETC1BaseColor5GBitOffset, 5, (c >> 5) & 31);
set_byte_bits(cETC1BaseColor5BBitOffset, 5, c & 31);
}
void set_delta3_color(uint16_t c)
{
set_byte_bits(cETC1DeltaColor3RBitOffset, 3, (c >> 6) & 7);
set_byte_bits(cETC1DeltaColor3GBitOffset, 3, (c >> 3) & 7);
set_byte_bits(cETC1DeltaColor3BBitOffset, 3, c & 7);
}
void set_block_color4(const color32& c0_unscaled, const color32& c1_unscaled)
{
set_diff_bit(false);
set_base4_color(0, pack_color4(c0_unscaled, false));
set_base4_color(1, pack_color4(c1_unscaled, false));
}
void set_block_color5(const color32& c0_unscaled, const color32& c1_unscaled)
{
set_diff_bit(true);
set_base5_color(pack_color5(c0_unscaled, false));
int dr = c1_unscaled.r - c0_unscaled.r;
int dg = c1_unscaled.g - c0_unscaled.g;
int db = c1_unscaled.b - c0_unscaled.b;
set_delta3_color(pack_delta3(dr, dg, db));
}
bool set_block_color5_check(const color32& c0_unscaled, const color32& c1_unscaled)
{
set_diff_bit(true);
set_base5_color(pack_color5(c0_unscaled, false));
int dr = c1_unscaled.r - c0_unscaled.r;
int dg = c1_unscaled.g - c0_unscaled.g;
int db = c1_unscaled.b - c0_unscaled.b;
if (((dr < cETC1ColorDeltaMin) || (dr > cETC1ColorDeltaMax)) ||
((dg < cETC1ColorDeltaMin) || (dg > cETC1ColorDeltaMax)) ||
((db < cETC1ColorDeltaMin) || (db > cETC1ColorDeltaMax)))
return false;
set_delta3_color(pack_delta3(dr, dg, db));
return true;
}
inline uint32_t get_byte_bits(uint32_t ofs, uint32_t num) const
{
assert((ofs + num) <= 64U);
assert(num && (num <= 8U));
assert((ofs >> 3) == ((ofs + num - 1) >> 3));
const uint32_t byte_ofs = 7 - (ofs >> 3);
const uint32_t byte_bit_ofs = ofs & 7;
return (m_bytes[byte_ofs] >> byte_bit_ofs) & ((1 << num) - 1);
}
inline uint16_t get_base5_color() const
{
const uint32_t r = get_byte_bits(cETC1BaseColor5RBitOffset, 5);
const uint32_t g = get_byte_bits(cETC1BaseColor5GBitOffset, 5);
const uint32_t b = get_byte_bits(cETC1BaseColor5BBitOffset, 5);
return static_cast<uint16_t>(b | (g << 5U) | (r << 10U));
}
inline uint16_t get_base4_color(uint32_t idx) const
{
uint32_t r, g, b;
if (idx)
{
r = get_byte_bits(cETC1AbsColor4R2BitOffset, 4);
g = get_byte_bits(cETC1AbsColor4G2BitOffset, 4);
b = get_byte_bits(cETC1AbsColor4B2BitOffset, 4);
}
else
{
r = get_byte_bits(cETC1AbsColor4R1BitOffset, 4);
g = get_byte_bits(cETC1AbsColor4G1BitOffset, 4);
b = get_byte_bits(cETC1AbsColor4B1BitOffset, 4);
}
return static_cast<uint16_t>(b | (g << 4U) | (r << 8U));
}
inline color32 get_base5_color_unscaled() const
{
return color32(m_differential.m_red1, m_differential.m_green1, m_differential.m_blue1, 255);
}
inline bool get_flip_bit() const
{
return (m_bytes[3] & 1) != 0;
}
inline bool get_diff_bit() const
{
return (m_bytes[3] & 2) != 0;
}
inline uint32_t get_inten_table(uint32_t subblock_id) const
{
assert(subblock_id < 2);
const uint32_t ofs = subblock_id ? 2 : 5;
return (m_bytes[3] >> ofs) & 7;
}
inline uint16_t get_delta3_color() const
{
const uint32_t r = get_byte_bits(cETC1DeltaColor3RBitOffset, 3);
const uint32_t g = get_byte_bits(cETC1DeltaColor3GBitOffset, 3);
const uint32_t b = get_byte_bits(cETC1DeltaColor3BBitOffset, 3);
return static_cast<uint16_t>(b | (g << 3U) | (r << 6U));
}
void get_block_colors(color32* pBlock_colors, uint32_t subblock_index) const
{
color32 b;
if (get_diff_bit())
{
if (subblock_index)
unpack_color5(b, get_base5_color(), get_delta3_color(), true, 255);
else
unpack_color5(b, get_base5_color(), true);
}
else
{
b = unpack_color4(get_base4_color(subblock_index), true, 255);
}
const int* pInten_table = g_etc1_inten_tables[get_inten_table(subblock_index)];
pBlock_colors[0].set_noclamp_rgba(clamp255(b.r + pInten_table[0]), clamp255(b.g + pInten_table[0]), clamp255(b.b + pInten_table[0]), 255);
pBlock_colors[1].set_noclamp_rgba(clamp255(b.r + pInten_table[1]), clamp255(b.g + pInten_table[1]), clamp255(b.b + pInten_table[1]), 255);
pBlock_colors[2].set_noclamp_rgba(clamp255(b.r + pInten_table[2]), clamp255(b.g + pInten_table[2]), clamp255(b.b + pInten_table[2]), 255);
pBlock_colors[3].set_noclamp_rgba(clamp255(b.r + pInten_table[3]), clamp255(b.g + pInten_table[3]), clamp255(b.b + pInten_table[3]), 255);
}
static uint16_t pack_color4(const color32& color, bool scaled, uint32_t bias = 127U)
{
return pack_color4(color.r, color.g, color.b, scaled, bias);
}
static uint16_t pack_color4(uint32_t r, uint32_t g, uint32_t b, bool scaled, uint32_t bias = 127U)
{
if (scaled)
{
r = (r * 15U + bias) / 255U;
g = (g * 15U + bias) / 255U;
b = (b * 15U + bias) / 255U;
}
r = basisu::minimum(r, 15U);
g = basisu::minimum(g, 15U);
b = basisu::minimum(b, 15U);
return static_cast<uint16_t>(b | (g << 4U) | (r << 8U));
}
static uint16_t pack_color5(const color32& color, bool scaled, uint32_t bias = 127U)
{
return pack_color5(color.r, color.g, color.b, scaled, bias);
}
static uint16_t pack_color5(uint32_t r, uint32_t g, uint32_t b, bool scaled, uint32_t bias = 127U)
{
if (scaled)
{
r = (r * 31U + bias) / 255U;
g = (g * 31U + bias) / 255U;
b = (b * 31U + bias) / 255U;
}
r = basisu::minimum(r, 31U);
g = basisu::minimum(g, 31U);
b = basisu::minimum(b, 31U);
return static_cast<uint16_t>(b | (g << 5U) | (r << 10U));
}
uint16_t pack_delta3(const color32& color)
{
return pack_delta3(color.r, color.g, color.b);
}
uint16_t pack_delta3(int r, int g, int b)
{
assert((r >= cETC1ColorDeltaMin) && (r <= cETC1ColorDeltaMax));
assert((g >= cETC1ColorDeltaMin) && (g <= cETC1ColorDeltaMax));
assert((b >= cETC1ColorDeltaMin) && (b <= cETC1ColorDeltaMax));
if (r < 0) r += 8;
if (g < 0) g += 8;
if (b < 0) b += 8;
return static_cast<uint16_t>(b | (g << 3) | (r << 6));
}
static void unpack_delta3(int& r, int& g, int& b, uint16_t packed_delta3)
{
r = (packed_delta3 >> 6) & 7;
g = (packed_delta3 >> 3) & 7;
b = packed_delta3 & 7;
if (r >= 4) r -= 8;
if (g >= 4) g -= 8;
if (b >= 4) b -= 8;
}
static color32 unpack_color5(uint16_t packed_color5, bool scaled, uint32_t alpha)
{
uint32_t b = packed_color5 & 31U;
uint32_t g = (packed_color5 >> 5U) & 31U;
uint32_t r = (packed_color5 >> 10U) & 31U;
if (scaled)
{
b = (b << 3U) | (b >> 2U);
g = (g << 3U) | (g >> 2U);
r = (r << 3U) | (r >> 2U);
}
assert(alpha <= 255);
return color32(cNoClamp, r, g, b, alpha);
}
static void unpack_color5(uint32_t& r, uint32_t& g, uint32_t& b, uint16_t packed_color5, bool scaled)
{
color32 c(unpack_color5(packed_color5, scaled, 0));
r = c.r;
g = c.g;
b = c.b;
}
static void unpack_color5(color32& result, uint16_t packed_color5, bool scaled)
{
result = unpack_color5(packed_color5, scaled, 255);
}
static bool unpack_color5(color32& result, uint16_t packed_color5, uint16_t packed_delta3, bool scaled, uint32_t alpha)
{
int dr, dg, db;
unpack_delta3(dr, dg, db, packed_delta3);
int r = ((packed_color5 >> 10U) & 31U) + dr;
int g = ((packed_color5 >> 5U) & 31U) + dg;
int b = (packed_color5 & 31U) + db;
bool success = true;
if (static_cast<uint32_t>(r | g | b) > 31U)
{
success = false;
r = basisu::clamp<int>(r, 0, 31);
g = basisu::clamp<int>(g, 0, 31);
b = basisu::clamp<int>(b, 0, 31);
}
if (scaled)
{
b = (b << 3U) | (b >> 2U);
g = (g << 3U) | (g >> 2U);
r = (r << 3U) | (r >> 2U);
}
result.set_noclamp_rgba(r, g, b, basisu::minimum(alpha, 255U));
return success;
}
static color32 unpack_color4(uint16_t packed_color4, bool scaled, uint32_t alpha)
{
uint32_t b = packed_color4 & 15U;
uint32_t g = (packed_color4 >> 4U) & 15U;
uint32_t r = (packed_color4 >> 8U) & 15U;
if (scaled)
{
b = (b << 4U) | b;
g = (g << 4U) | g;
r = (r << 4U) | r;
}
return color32(cNoClamp, r, g, b, basisu::minimum(alpha, 255U));
}
static void unpack_color4(uint32_t& r, uint32_t& g, uint32_t& b, uint16_t packed_color4, bool scaled)
{
color32 c(unpack_color4(packed_color4, scaled, 0));
r = c.r;
g = c.g;
b = c.b;
}
static void get_diff_subblock_colors(color32* pDst, uint16_t packed_color5, uint32_t table_idx)
{
assert(table_idx < cETC1IntenModifierValues);
const int* pInten_modifer_table = &g_etc1_inten_tables[table_idx][0];
uint32_t r, g, b;
unpack_color5(r, g, b, packed_color5, true);
const int ir = static_cast<int>(r), ig = static_cast<int>(g), ib = static_cast<int>(b);
const int y0 = pInten_modifer_table[0];
pDst[0].set(clamp255(ir + y0), clamp255(ig + y0), clamp255(ib + y0), 255);
const int y1 = pInten_modifer_table[1];
pDst[1].set(clamp255(ir + y1), clamp255(ig + y1), clamp255(ib + y1), 255);
const int y2 = pInten_modifer_table[2];
pDst[2].set(clamp255(ir + y2), clamp255(ig + y2), clamp255(ib + y2), 255);
const int y3 = pInten_modifer_table[3];
pDst[3].set(clamp255(ir + y3), clamp255(ig + y3), clamp255(ib + y3), 255);
}
static int clamp255(int x)
{
if (x & 0xFFFFFF00)
{
if (x < 0)
x = 0;
else if (x > 255)
x = 255;
}
return x;
}
static void get_block_colors5(color32* pBlock_colors, const color32& base_color5, uint32_t inten_table)
{
color32 b(base_color5);
b.r = (b.r << 3) | (b.r >> 2);
b.g = (b.g << 3) | (b.g >> 2);
b.b = (b.b << 3) | (b.b >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
pBlock_colors[0].set(clamp255(b.r + pInten_table[0]), clamp255(b.g + pInten_table[0]), clamp255(b.b + pInten_table[0]), 255);
pBlock_colors[1].set(clamp255(b.r + pInten_table[1]), clamp255(b.g + pInten_table[1]), clamp255(b.b + pInten_table[1]), 255);
pBlock_colors[2].set(clamp255(b.r + pInten_table[2]), clamp255(b.g + pInten_table[2]), clamp255(b.b + pInten_table[2]), 255);
pBlock_colors[3].set(clamp255(b.r + pInten_table[3]), clamp255(b.g + pInten_table[3]), clamp255(b.b + pInten_table[3]), 255);
}
static void get_block_color5(const color32& base_color5, uint32_t inten_table, uint32_t index, uint32_t& r, uint32_t &g, uint32_t &b)
{
assert(index < 4);
uint32_t br = (base_color5.r << 3) | (base_color5.r >> 2);
uint32_t bg = (base_color5.g << 3) | (base_color5.g >> 2);
uint32_t bb = (base_color5.b << 3) | (base_color5.b >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
r = clamp255(br + pInten_table[index]);
g = clamp255(bg + pInten_table[index]);
b = clamp255(bb + pInten_table[index]);
}
static void get_block_color5_r(const color32& base_color5, uint32_t inten_table, uint32_t index, uint32_t &r)
{
assert(index < 4);
uint32_t br = (base_color5.r << 3) | (base_color5.r >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
r = clamp255(br + pInten_table[index]);
}
static void get_block_colors5_g(int* pBlock_colors, const color32& base_color5, uint32_t inten_table)
{
const int g = (base_color5.g << 3) | (base_color5.g >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
pBlock_colors[0] = clamp255(g + pInten_table[0]);
pBlock_colors[1] = clamp255(g + pInten_table[1]);
pBlock_colors[2] = clamp255(g + pInten_table[2]);
pBlock_colors[3] = clamp255(g + pInten_table[3]);
}
static void get_block_colors5_bounds(color32* pBlock_colors, const color32& base_color5, uint32_t inten_table, uint32_t l = 0, uint32_t h = 3)
{
color32 b(base_color5);
b.r = (b.r << 3) | (b.r >> 2);
b.g = (b.g << 3) | (b.g >> 2);
b.b = (b.b << 3) | (b.b >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
pBlock_colors[0].set(clamp255(b.r + pInten_table[l]), clamp255(b.g + pInten_table[l]), clamp255(b.b + pInten_table[l]), 255);
pBlock_colors[1].set(clamp255(b.r + pInten_table[h]), clamp255(b.g + pInten_table[h]), clamp255(b.b + pInten_table[h]), 255);
}
static void get_block_colors5_bounds_g(uint32_t* pBlock_colors, const color32& base_color5, uint32_t inten_table, uint32_t l = 0, uint32_t h = 3)
{
color32 b(base_color5);
b.g = (b.g << 3) | (b.g >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
pBlock_colors[0] = clamp255(b.g + pInten_table[l]);
pBlock_colors[1] = clamp255(b.g + pInten_table[h]);
}
};
enum dxt_constants
{
cDXT1SelectorBits = 2U, cDXT1SelectorValues = 1U << cDXT1SelectorBits, cDXT1SelectorMask = cDXT1SelectorValues - 1U,
cDXT5SelectorBits = 3U, cDXT5SelectorValues = 1U << cDXT5SelectorBits, cDXT5SelectorMask = cDXT5SelectorValues - 1U,
};
static const uint8_t g_etc1_x_selector_unpack[4][256] =
{
{
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
},
{
0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1,
2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3,
0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1,
2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3,
0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1,
2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3,
0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1,
2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3,
},
{
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1,
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1,
2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3,
2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3,
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1,
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1,
2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3,
2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3,
},
{
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1,
2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3,
2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3,
2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3,
2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3,
}
};
struct dxt1_block
{
enum { cTotalEndpointBytes = 2, cTotalSelectorBytes = 4 };
uint8_t m_low_color[cTotalEndpointBytes];
uint8_t m_high_color[cTotalEndpointBytes];
uint8_t m_selectors[cTotalSelectorBytes];
inline void clear() { basisu::clear_obj(*this); }
inline uint32_t get_high_color() const { return m_high_color[0] | (m_high_color[1] << 8U); }
inline uint32_t get_low_color() const { return m_low_color[0] | (m_low_color[1] << 8U); }
inline void set_low_color(uint16_t c) { m_low_color[0] = static_cast<uint8_t>(c & 0xFF); m_low_color[1] = static_cast<uint8_t>((c >> 8) & 0xFF); }
inline void set_high_color(uint16_t c) { m_high_color[0] = static_cast<uint8_t>(c & 0xFF); m_high_color[1] = static_cast<uint8_t>((c >> 8) & 0xFF); }
inline uint32_t get_selector(uint32_t x, uint32_t y) const { assert((x < 4U) && (y < 4U)); return (m_selectors[y] >> (x * cDXT1SelectorBits)) & cDXT1SelectorMask; }
inline void set_selector(uint32_t x, uint32_t y, uint32_t val) { assert((x < 4U) && (y < 4U) && (val < 4U)); m_selectors[y] &= (~(cDXT1SelectorMask << (x * cDXT1SelectorBits))); m_selectors[y] |= (val << (x * cDXT1SelectorBits)); }
static uint16_t pack_color(const color32& color, bool scaled, uint32_t bias = 127U)
{
uint32_t r = color.r, g = color.g, b = color.b;
if (scaled)
{
r = (r * 31U + bias) / 255U;
g = (g * 63U + bias) / 255U;
b = (b * 31U + bias) / 255U;
}
return static_cast<uint16_t>(basisu::minimum(b, 31U) | (basisu::minimum(g, 63U) << 5U) | (basisu::minimum(r, 31U) << 11U));
}
static uint16_t pack_unscaled_color(uint32_t r, uint32_t g, uint32_t b) { return static_cast<uint16_t>(b | (g << 5U) | (r << 11U)); }
};
struct dxt_selector_range
{
uint32_t m_low;
uint32_t m_high;
};
struct etc1_to_dxt1_56_solution
{
uint8_t m_lo;
uint8_t m_hi;
uint16_t m_err;
};
#if BASISD_SUPPORT_DXT1
static dxt_selector_range g_etc1_to_dxt1_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 },
};
const uint32_t NUM_ETC1_TO_DXT1_SELECTOR_RANGES = sizeof(g_etc1_to_dxt1_selector_ranges) / sizeof(g_etc1_to_dxt1_selector_ranges[0]);
static uint32_t g_etc1_to_dxt1_selector_range_index[4][4];
const uint32_t NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS = 10;
static const uint8_t g_etc1_to_dxt1_selector_mappings[NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS][4] =
{
{ 0, 0, 1, 1 },
{ 0, 0, 1, 2 },
{ 0, 0, 1, 3 },
{ 0, 0, 2, 3 },
{ 0, 1, 1, 1 },
{ 0, 1, 2, 2 },
{ 0, 1, 2, 3 },
{ 0, 2, 3, 3 },
{ 1, 2, 2, 2 },
{ 1, 2, 3, 3 },
};
static uint8_t g_etc1_to_dxt1_selector_mappings_raw_dxt1_256[NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS][256];
static uint8_t g_etc1_to_dxt1_selector_mappings_raw_dxt1_inv_256[NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS][256];
static const etc1_to_dxt1_56_solution g_etc1_to_dxt_6[32 * 8 * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS * NUM_ETC1_TO_DXT1_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_dxt1_6.inc ****/
// Copyright (C) 2017-2019 Binomial LLC. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
{0,4,18},{0,3,4},{0,2,0},{0,2,9},{0,3,36},{0,2,22},{0,2,13},{0,1,24},{0,1,41},{0,1,25},{0,4,18},{0,3,4},{0,2,0},{0,2,9},{1,1,36},{0,2,22},{0,2,13},{0,1,24},{3,0,36},{0,1,24},{0,2,0},{0,2,0},{0,2,0},{0,1,0},{0,1,2},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,2,0},
{0,2,0},{0,2,0},{0,1,0},{0,1,2},{0,1,1},{0,1,1},{0,0,4},{1,0,2},{0,0,4},{2,0,18},{0,3,4},{0,2,0},{0,2,9},{2,0,18},{4,0,18},{0,2,9},{0,1,20},{4,0,18},{0,1,20},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,8,38},{1,6,21},{1,4,24},
{1,4,24},{0,8,52},{0,5,18},{0,4,1},{0,3,24},{0,4,77},{0,3,40},{2,6,22},{1,6,5},{2,4,4},{1,4,8},{4,0,52},{0,5,18},{0,4,1},{0,3,24},{8,0,52},{0,3,24},{1,6,20},{1,6,20},{1,6,20},{1,3,21},{0,6,8},{0,4,1},{0,4,1},{0,2,5},{0,3,24},{0,2,9},{2,4,4},{2,4,4},{2,4,4},{2,3,4},{3,0,8},
{1,3,1},{1,3,1},{1,2,4},{6,0,8},{1,2,4},{5,0,18},{1,6,1},{2,4,0},{0,4,0},{5,0,18},{10,0,18},{0,4,0},{0,3,20},{10,0,18},{0,3,20},{1,0,20},{1,0,20},{1,0,20},{1,0,20},{0,5,0},{0,5,0},{0,5,0},{0,2,1},{0,2,5},{0,2,5},{3,10,38},{3,8,21},{3,6,24},{3,6,24},{2,10,52},{2,7,18},{2,6,1},
{2,5,24},{0,7,53},{1,5,21},{4,8,22},{3,8,5},{4,6,4},{3,6,8},{7,0,52},{2,7,18},{2,6,1},{1,5,20},{14,0,52},{1,5,20},{3,8,20},{3,8,20},{3,8,20},{3,5,21},{2,8,8},{2,6,1},{2,6,1},{2,4,5},{0,6,8},{1,5,5},{4,6,4},{4,6,4},{4,6,4},{4,5,4},{6,0,8},{3,5,1},{3,5,1},{3,4,4},{12,0,8},
{3,4,4},{8,0,18},{3,8,1},{4,6,0},{2,6,0},{8,0,18},{16,0,18},{2,6,0},{0,5,20},{16,0,18},{0,5,20},{3,0,20},{3,0,20},{3,0,20},{3,0,20},{2,7,0},{2,7,0},{2,7,0},{2,4,1},{1,5,1},{1,5,1},{5,12,38},{5,10,21},{5,8,24},{5,8,24},{4,12,52},{4,9,18},{4,8,1},{4,7,24},{2,9,53},{3,7,21},{6,10,22},
{5,10,5},{6,8,4},{5,8,8},{2,16,51},{4,9,18},{4,8,1},{3,7,20},{20,0,51},{3,7,20},{5,10,20},{5,10,20},{5,10,20},{5,7,21},{4,10,8},{4,8,1},{4,8,1},{4,6,5},{2,8,8},{3,7,5},{6,8,4},{6,8,4},{6,8,4},{6,7,4},{9,0,8},{5,7,1},{5,7,1},{5,6,4},{18,0,8},{5,6,4},{11,0,18},{5,10,1},{6,8,0},
{4,8,0},{11,0,18},{22,0,18},{4,8,0},{0,7,20},{22,0,18},{0,7,20},{5,0,20},{5,0,20},{5,0,20},{5,0,20},{4,9,0},{4,9,0},{4,9,0},{4,6,1},{3,7,1},{3,7,1},{7,15,36},{7,12,19},{7,10,28},{7,10,20},{6,15,52},{6,11,22},{6,10,7},{6,9,28},{3,12,52},{5,9,27},{8,13,19},{8,11,3},{8,10,3},{8,10,6},{13,1,51},
{6,11,21},{7,10,3},{5,9,27},{27,0,51},{5,9,27},{7,12,19},{7,12,19},{7,12,19},{7,10,19},{6,13,9},{6,10,6},{6,10,6},{6,9,3},{5,10,9},{5,9,2},{8,10,2},{8,10,2},{8,10,2},{8,9,2},{12,1,8},{7,10,2},{7,10,2},{5,9,2},{25,0,8},{5,9,2},{14,1,18},{7,12,1},{8,10,2},{6,10,2},{14,1,18},{15,7,18},{6,10,2},
{0,9,26},{15,7,18},{0,9,26},{7,0,18},{7,0,18},{7,0,18},{7,0,18},{6,11,2},{6,11,2},{6,11,2},{6,9,2},{5,9,1},{5,9,1},{9,16,38},{9,14,19},{9,12,28},{9,12,20},{8,17,52},{8,13,22},{8,12,7},{8,11,28},{5,14,52},{7,11,27},{10,15,19},{10,13,3},{10,12,3},{10,12,6},{16,1,51},{8,13,21},{9,12,3},{7,11,27},{33,0,51},
{7,11,27},{9,14,19},{9,14,19},{9,14,19},{9,12,19},{8,15,9},{8,12,6},{8,12,6},{8,11,3},{7,12,9},{7,11,2},{10,12,2},{10,12,2},{10,12,2},{10,11,2},{15,1,8},{9,12,2},{9,12,2},{7,11,2},{31,0,8},{7,11,2},{17,0,18},{9,14,1},{10,12,2},{8,12,2},{17,0,18},{34,0,18},{8,12,2},{0,11,26},{34,0,18},{0,11,26},{9,0,18},
{9,0,18},{9,0,18},{9,0,18},{8,13,2},{8,13,2},{8,13,2},{8,11,2},{7,11,1},{7,11,1},{11,18,38},{11,16,19},{11,14,28},{11,14,20},{10,19,52},{10,15,22},{10,14,7},{10,13,28},{7,16,52},{9,13,27},{12,16,21},{12,15,3},{12,14,3},{12,14,6},{19,1,51},{10,15,21},{11,14,3},{9,13,27},{39,0,51},{9,13,27},{11,16,18},{11,16,18},{11,16,18},
{11,14,19},{10,17,9},{10,14,6},{10,14,6},{10,13,3},{9,14,9},{9,13,2},{12,14,2},{12,14,2},{12,14,2},{12,13,2},{15,7,8},{11,14,2},{11,14,2},{9,13,2},{31,3,8},{9,13,2},{20,0,18},{11,16,1},{12,14,2},{10,14,2},{20,0,18},{40,0,18},{10,14,2},{0,13,26},{40,0,18},{0,13,26},{11,0,18},{11,0,18},{11,0,18},{11,0,18},{10,15,2},
{10,15,2},{10,15,2},{10,13,2},{9,13,1},{9,13,1},{13,20,38},{13,18,19},{13,16,27},{13,16,19},{12,21,52},{12,17,19},{12,16,5},{12,15,28},{10,17,52},{11,15,27},{14,18,21},{14,17,3},{14,16,1},{13,16,10},{22,1,51},{12,17,18},{13,16,2},{11,15,27},{45,0,51},{11,15,27},{13,18,18},{13,18,18},{13,18,18},{13,16,19},{12,19,9},{12,16,5},{12,16,5},
{12,15,3},{10,16,11},{11,15,2},{14,16,1},{14,16,1},{14,16,1},{14,15,2},{15,13,8},{13,16,2},{13,16,2},{11,15,2},{31,6,8},{11,15,2},{23,0,18},{13,18,1},{14,16,0},{12,16,0},{23,0,18},{46,0,18},{12,16,0},{0,15,26},{46,0,18},{0,15,26},{13,0,18},{13,0,18},{13,0,18},{13,0,18},{12,17,1},{12,17,1},{12,17,1},{12,15,2},{11,15,1},
{11,15,1},{15,23,38},{15,20,21},{15,18,37},{15,18,21},{15,22,55},{15,19,23},{15,18,5},{14,17,30},{13,19,56},{13,17,28},{16,21,19},{16,19,3},{16,18,3},{16,18,6},{17,17,51},{15,19,19},{15,18,1},{14,17,26},{51,0,51},{14,17,26},{15,21,20},{15,21,20},{15,21,20},{15,18,20},{15,19,14},{15,18,4},{15,18,4},{14,17,5},{13,18,9},{13,17,3},{16,18,2},
{16,18,2},{16,18,2},{16,17,2},{24,1,8},{15,18,0},{15,18,0},{14,17,1},{49,0,8},{14,17,1},{26,1,18},{15,20,1},{16,18,2},{15,18,1},{26,1,18},{53,0,18},{15,18,1},{0,17,26},{53,0,18},{0,17,26},{15,0,20},{15,0,20},{15,0,20},{15,0,20},{15,18,4},{15,18,4},{15,18,4},{14,17,4},{13,17,2},{13,17,2},{17,25,36},{17,22,19},{17,20,28},
{17,20,20},{16,25,52},{16,21,22},{16,20,7},{16,19,28},{15,21,56},{15,19,28},{18,23,19},{18,21,3},{18,20,3},{18,20,6},{20,17,51},{16,21,21},{17,20,3},{14,20,26},{57,0,51},{14,20,26},{17,22,19},{17,22,19},{17,22,19},{17,20,19},{16,23,9},{16,20,6},{16,20,6},{16,19,3},{15,20,9},{15,19,3},{18,20,2},{18,20,2},{18,20,2},{18,19,2},{27,1,8},
{17,20,2},{17,20,2},{15,19,2},{55,0,8},{15,19,2},{29,1,18},{17,22,1},{18,20,2},{16,20,2},{29,1,18},{59,0,18},{16,20,2},{0,19,26},{59,0,18},{0,19,26},{17,0,18},{17,0,18},{17,0,18},{17,0,18},{16,21,2},{16,21,2},{16,21,2},{16,19,2},{15,19,2},{15,19,2},{19,27,36},{19,24,19},{19,22,28},{19,22,20},{18,27,52},{18,23,22},{18,22,7},
{18,21,28},{15,24,56},{17,21,27},{20,25,19},{20,23,3},{20,22,3},{20,22,6},{23,17,51},{18,23,21},{19,22,3},{17,21,27},{63,0,51},{17,21,27},{19,24,19},{19,24,19},{19,24,19},{19,22,19},{18,25,9},{18,22,6},{18,22,6},{18,21,3},{17,22,9},{17,21,2},{20,22,2},{20,22,2},{20,22,2},{20,21,2},{30,1,8},{19,22,2},{19,22,2},{17,21,2},{61,0,8},
{17,21,2},{31,3,18},{19,24,1},{20,22,2},{18,22,2},{31,3,18},{63,1,18},{18,22,2},{0,21,26},{63,1,18},{0,21,26},{19,0,18},{19,0,18},{19,0,18},{19,0,18},{18,23,2},{18,23,2},{18,23,2},{18,21,2},{17,21,1},{17,21,1},{21,29,36},{21,26,19},{21,24,28},{21,24,20},{20,29,52},{20,25,22},{20,24,7},{20,23,28},{17,26,52},{19,23,27},{22,27,19},
{22,25,3},{22,24,3},{22,24,6},{34,1,51},{20,25,21},{21,24,3},{19,23,27},{63,3,51},{19,23,27},{21,26,19},{21,26,19},{21,26,19},{21,24,19},{20,27,9},{20,24,6},{20,24,6},{20,23,3},{19,24,9},{19,23,2},{22,24,2},{22,24,2},{22,24,2},{22,23,2},{33,1,8},{21,24,2},{21,24,2},{19,23,2},{63,2,8},{19,23,2},{31,9,18},{21,26,1},{22,24,2},
{20,24,2},{31,9,18},{63,4,18},{20,24,2},{0,23,26},{63,4,18},{0,23,26},{21,0,18},{21,0,18},{21,0,18},{21,0,18},{20,25,2},{20,25,2},{20,25,2},{20,23,2},{19,23,1},{19,23,1},{23,31,40},{23,29,24},{23,27,33},{23,26,24},{23,30,55},{22,28,24},{23,26,8},{22,26,28},{20,28,51},{21,26,21},{24,29,20},{24,28,1},{24,27,4},{24,26,5},{38,0,51},
{22,28,20},{23,26,4},{20,26,20},{62,7,51},{20,26,20},{23,29,20},{23,29,20},{23,29,20},{23,26,20},{23,28,12},{23,26,4},{23,26,4},{22,25,4},{20,27,9},{22,25,4},{24,27,0},{24,27,0},{24,27,0},{24,26,1},{31,12,8},{23,26,0},{23,26,0},{22,25,0},{62,6,8},{22,25,0},{38,1,18},{24,28,1},{24,27,4},{23,26,4},{38,1,18},{45,16,18},{23,26,4},
{0,26,20},{45,16,18},{0,26,20},{23,0,20},{23,0,20},{23,0,20},{23,0,20},{23,26,4},{23,26,4},{23,26,4},{22,25,4},{21,26,1},{21,26,1},{25,33,38},{25,31,24},{25,29,33},{25,28,24},{25,32,55},{24,30,24},{25,28,8},{24,28,28},{22,30,51},{23,28,21},{26,31,20},{26,30,1},{26,29,4},{26,28,5},{41,0,51},{24,30,20},{25,28,4},{22,28,20},{62,10,51},
{22,28,20},{25,31,20},{25,31,20},{25,31,20},{25,28,20},{25,30,12},{25,28,4},{25,28,4},{24,27,4},{22,29,9},{24,27,4},{26,29,0},{26,29,0},{26,29,0},{26,28,1},{31,18,8},{25,28,0},{25,28,0},{24,27,0},{62,9,8},{24,27,0},{41,1,18},{26,30,1},{26,29,4},{25,28,4},{41,1,18},{51,16,18},{25,28,4},{0,28,20},{51,16,18},{0,28,20},{25,0,20},
{25,0,20},{25,0,20},{25,0,20},{25,28,4},{25,28,4},{25,28,4},{24,27,4},{23,28,1},{23,28,1},{27,35,38},{27,32,21},{27,31,33},{27,30,24},{27,34,55},{26,32,24},{27,30,8},{26,30,28},{25,31,56},{25,30,21},{28,33,18},{28,32,2},{28,31,4},{28,30,5},{44,0,51},{26,32,20},{27,30,4},{24,30,20},{62,13,51},{24,30,20},{27,33,20},{27,33,20},{27,33,20},
{27,30,20},{27,31,14},{27,30,4},{27,30,4},{26,29,4},{24,31,9},{26,29,4},{28,31,0},{28,31,0},{28,31,0},{28,30,1},{34,17,8},{27,30,0},{27,30,0},{26,29,0},{62,12,8},{26,29,0},{44,1,18},{27,32,1},{28,31,4},{27,30,4},{44,1,18},{57,16,18},{27,30,4},{0,30,20},{57,16,18},{0,30,20},{27,0,20},{27,0,20},{27,0,20},{27,0,20},{27,30,4},
{27,30,4},{27,30,4},{26,29,4},{25,30,1},{25,30,1},{29,37,38},{29,34,21},{29,32,37},{29,32,21},{29,36,55},{29,33,23},{29,32,5},{28,32,39},{27,33,56},{26,32,30},{30,35,18},{30,34,2},{30,32,2},{30,32,5},{47,0,51},{29,33,19},{29,32,1},{26,32,26},{46,24,51},{26,32,26},{29,35,20},{29,35,20},{29,35,20},{29,32,20},{29,33,14},{29,32,4},{29,32,4},
{28,31,4},{27,32,9},{28,31,4},{30,33,0},{30,33,0},{30,33,0},{30,31,4},{37,17,8},{29,32,0},{29,32,0},{28,31,0},{62,15,8},{28,31,0},{47,1,18},{29,34,1},{30,32,2},{29,32,1},{47,1,18},{63,16,18},{29,32,1},{0,32,26},{63,16,18},{0,32,26},{29,0,20},{29,0,20},{29,0,20},{29,0,20},{29,32,4},{29,32,4},{29,32,4},{28,31,4},{28,31,4},
{28,31,4},{31,40,44},{31,37,28},{32,35,40},{31,34,31},{31,38,53},{31,35,21},{31,34,7},{31,34,30},{28,36,51},{29,34,21},{32,37,20},{32,36,1},{32,35,4},{32,34,5},{50,0,51},{30,36,19},{31,34,6},{28,34,21},{62,19,51},{28,34,21},{31,38,26},{31,38,26},{31,38,26},{31,34,27},{31,36,9},{31,34,3},{31,34,3},{31,33,2},{29,34,10},{30,33,2},{32,35,0},
{32,35,0},{32,35,0},{32,34,1},{49,0,8},{31,34,2},{31,34,2},{30,33,1},{62,18,8},{30,33,1},{47,8,18},{32,36,1},{32,35,4},{31,34,5},{47,8,18},{62,20,18},{31,34,5},{0,34,20},{62,20,18},{0,34,20},{31,0,26},{31,0,26},{31,0,26},{31,0,26},{31,35,1},{31,35,1},{31,35,1},{31,33,2},{29,34,1},{29,34,1},{33,41,40},{33,39,24},{33,37,33},
{33,36,24},{33,40,55},{32,38,24},{33,36,8},{32,36,28},{30,38,51},{31,36,21},{34,39,20},{34,38,1},{34,37,4},{34,36,5},{53,0,51},{32,38,20},{33,36,4},{30,36,21},{62,22,51},{30,36,21},{33,39,20},{33,39,20},{33,39,20},{33,36,20},{33,38,12},{33,36,4},{33,36,4},{32,35,4},{31,36,10},{32,35,4},{34,37,0},{34,37,0},{34,37,0},{34,36,1},{52,0,8},
{33,36,0},{33,36,0},{32,35,0},{62,21,8},{32,35,0},{47,14,18},{34,38,1},{34,37,4},{33,36,4},{47,14,18},{62,23,18},{33,36,4},{0,36,20},{62,23,18},{0,36,20},{33,0,20},{33,0,20},{33,0,20},{33,0,20},{33,36,4},{33,36,4},{33,36,4},{32,35,4},{31,36,1},{31,36,1},{35,43,40},{35,41,24},{35,39,33},{35,38,24},{35,42,55},{34,40,24},{35,38,8},
{34,38,28},{32,40,51},{33,38,21},{36,41,20},{36,40,1},{36,39,4},{36,38,5},{56,0,51},{34,40,20},{35,38,4},{32,38,20},{62,25,51},{32,38,20},{35,41,20},{35,41,20},{35,41,20},{35,38,20},{35,40,12},{35,38,4},{35,38,4},{34,37,4},{32,39,9},{34,37,4},{36,39,0},{36,39,0},{36,39,0},{36,38,1},{55,0,8},{35,38,0},{35,38,0},{34,37,0},{62,24,8},
{34,37,0},{48,17,18},{36,40,1},{36,39,4},{35,38,4},{48,17,18},{62,26,18},{35,38,4},{0,38,20},{62,26,18},{0,38,20},{35,0,20},{35,0,20},{35,0,20},{35,0,20},{35,38,4},{35,38,4},{35,38,4},{34,37,4},{33,38,1},{33,38,1},{37,45,40},{37,43,24},{37,41,33},{37,40,24},{37,44,55},{36,42,24},{37,40,8},{36,40,28},{34,42,51},{35,40,21},{38,43,20},
{38,42,1},{38,41,4},{38,40,5},{59,0,51},{36,42,20},{37,40,4},{34,40,20},{62,28,51},{34,40,20},{37,43,20},{37,43,20},{37,43,20},{37,40,20},{37,42,12},{37,40,4},{37,40,4},{36,39,4},{34,41,9},{36,39,4},{38,41,0},{38,41,0},{38,41,0},{38,40,1},{58,0,8},{37,40,0},{37,40,0},{36,39,0},{62,27,8},{36,39,0},{51,17,18},{38,42,1},{38,41,4},
{37,40,4},{51,17,18},{62,29,18},{37,40,4},{0,40,20},{62,29,18},{0,40,20},{37,0,20},{37,0,20},{37,0,20},{37,0,20},{37,40,4},{37,40,4},{37,40,4},{36,39,4},{35,40,1},{35,40,1},{40,46,44},{40,44,27},{40,43,28},{39,43,28},{39,47,52},{39,44,22},{39,43,3},{38,42,28},{36,44,53},{37,42,19},{40,46,19},{40,44,2},{40,43,3},{40,42,10},{62,1,51},
{38,44,19},{39,43,2},{37,42,18},{63,31,51},{37,42,18},{40,44,26},{40,44,26},{40,44,26},{40,42,26},{39,44,11},{39,43,2},{39,43,2},{39,41,2},{37,43,11},{38,41,3},{40,44,1},{40,44,1},{40,44,1},{40,42,1},{53,16,8},{40,42,1},{40,42,1},{39,41,1},{63,30,8},{39,41,1},{63,0,18},{40,44,1},{40,43,2},{38,43,1},{63,0,18},{62,32,18},{38,43,1},
{0,42,18},{62,32,18},{0,42,18},{39,0,26},{39,0,26},{39,0,26},{39,0,26},{39,43,1},{39,43,1},{39,43,1},{39,41,1},{37,42,1},{37,42,1},{42,48,44},{42,46,27},{42,45,28},{41,45,28},{41,48,53},{41,46,22},{41,45,3},{40,44,28},{38,46,53},{39,44,19},{42,48,19},{42,46,2},{42,45,3},{42,44,10},{63,5,51},{40,46,19},{41,45,2},{39,44,18},{47,42,51},
{39,44,18},{42,46,26},{42,46,26},{42,46,26},{42,44,26},{41,46,11},{41,45,2},{41,45,2},{41,43,2},{39,45,11},{40,43,3},{42,46,1},{42,46,1},{42,46,1},{42,44,1},{56,16,8},{42,44,1},{42,44,1},{41,43,1},{62,33,8},{41,43,1},{63,6,18},{42,46,1},{42,45,2},{40,45,1},{63,6,18},{62,35,18},{40,45,1},{0,44,18},{62,35,18},{0,44,18},{41,0,26},
{41,0,26},{41,0,26},{41,0,26},{41,45,1},{41,45,1},{41,45,1},{41,43,1},{39,44,1},{39,44,1},{44,50,44},{44,48,26},{44,47,28},{43,47,28},{43,50,53},{43,47,27},{43,47,3},{42,46,28},{40,48,51},{41,46,19},{44,50,19},{44,48,1},{44,47,3},{44,46,10},{63,11,51},{42,48,19},{43,47,2},{41,46,18},{47,45,51},{41,46,18},{44,48,26},{44,48,26},{44,48,26},
{44,46,26},{43,48,9},{43,47,2},{43,47,2},{43,45,2},{41,47,11},{42,45,3},{44,48,1},{44,48,1},{44,48,1},{44,46,1},{59,16,8},{44,46,1},{44,46,1},{43,45,1},{62,36,8},{43,45,1},{63,12,18},{44,48,0},{44,47,2},{42,47,1},{63,12,18},{62,38,18},{42,47,1},{0,46,18},{62,38,18},{0,46,18},{43,0,26},{43,0,26},{43,0,26},{43,0,26},{43,47,1},
{43,47,1},{43,47,1},{43,45,1},{41,46,1},{41,46,1},{46,52,44},{46,50,26},{46,49,31},{45,48,31},{45,52,53},{45,49,21},{45,48,7},{45,48,30},{42,50,51},{43,48,21},{46,52,19},{46,50,1},{46,49,6},{46,48,6},{55,32,51},{44,50,19},{45,48,6},{42,48,21},{46,48,51},{42,48,21},{46,50,26},{46,50,26},{46,50,26},{45,48,27},{45,50,9},{45,48,3},{45,48,3},
{45,47,2},{43,48,10},{44,47,3},{46,50,1},{46,50,1},{46,50,1},{46,48,2},{62,16,8},{45,48,2},{45,48,2},{45,47,1},{62,39,8},{45,47,1},{63,18,18},{46,50,0},{47,48,4},{45,48,5},{63,18,18},{62,41,18},{45,48,5},{0,48,20},{62,41,18},{0,48,20},{45,0,26},{45,0,26},{45,0,26},{45,0,26},{45,49,1},{45,49,1},{45,49,1},{45,47,1},{43,48,1},
{43,48,1},{48,54,44},{48,52,27},{48,51,28},{48,50,35},{47,55,51},{47,52,21},{47,51,3},{47,50,22},{45,52,52},{45,50,19},{48,54,19},{48,52,2},{48,51,3},{48,50,10},{63,23,51},{47,52,21},{47,51,3},{45,50,18},{63,43,51},{45,50,18},{48,52,26},{48,52,26},{48,52,26},{48,50,26},{47,53,8},{47,51,2},{47,51,2},{47,49,1},{45,51,8},{46,49,5},{48,52,1},
{48,52,1},{48,52,1},{48,50,1},{63,21,8},{48,50,1},{48,50,1},{47,49,1},{63,42,8},{47,49,1},{63,25,18},{48,52,1},{48,51,2},{46,51,1},{63,25,18},{63,44,18},{46,51,1},{0,50,18},{63,44,18},{0,50,18},{48,0,26},{48,0,26},{48,0,26},{48,0,26},{47,51,1},{47,51,1},{47,51,1},{47,49,0},{45,50,1},{45,50,1},{50,56,44},{50,54,27},{50,53,28},
{49,53,28},{49,57,52},{49,54,22},{49,53,3},{48,52,28},{47,54,52},{47,52,19},{50,56,19},{50,54,2},{50,53,3},{50,52,10},{63,29,51},{48,54,19},{49,53,2},{47,52,18},{63,46,51},{47,52,18},{50,54,26},{50,54,26},{50,54,26},{50,52,26},{49,54,11},{49,53,2},{49,53,2},{49,51,2},{47,53,8},{48,51,3},{50,54,1},{50,54,1},{50,54,1},{50,52,1},{63,27,8},
{50,52,1},{50,52,1},{49,51,1},{63,45,8},{49,51,1},{63,31,18},{50,54,1},{50,53,2},{48,53,1},{63,31,18},{63,47,18},{48,53,1},{0,52,18},{63,47,18},{0,52,18},{49,0,26},{49,0,26},{49,0,26},{49,0,26},{49,53,1},{49,53,1},{49,53,1},{49,51,1},{47,52,1},{47,52,1},{52,58,44},{52,56,27},{52,55,28},{51,55,28},{51,59,52},{51,56,22},{51,55,3},
{50,54,28},{48,56,53},{49,54,19},{52,58,19},{52,56,2},{52,55,3},{52,54,10},{63,35,51},{50,56,19},{51,55,2},{49,54,18},{63,49,51},{49,54,18},{52,56,26},{52,56,26},{52,56,26},{52,54,26},{51,56,11},{51,55,2},{51,55,2},{51,53,2},{49,55,11},{50,53,3},{52,56,1},{52,56,1},{52,56,1},{52,54,1},{63,33,8},{52,54,1},{52,54,1},{51,53,1},{47,56,8},
{51,53,1},{57,48,18},{52,56,1},{52,55,2},{50,55,1},{57,48,18},{62,50,18},{50,55,1},{0,54,18},{62,50,18},{0,54,18},{51,0,26},{51,0,26},{51,0,26},{51,0,26},{51,55,1},{51,55,1},{51,55,1},{51,53,1},{49,54,1},{49,54,1},{54,60,44},{54,58,27},{54,57,28},{53,57,28},{53,61,52},{53,58,22},{53,57,3},{52,56,28},{50,58,53},{51,56,19},{54,60,19},
{54,58,2},{54,57,3},{54,56,10},{63,41,51},{52,58,19},{53,57,2},{51,56,18},{63,52,51},{51,56,18},{54,58,26},{54,58,26},{54,58,26},{54,56,26},{53,58,11},{53,57,2},{53,57,2},{53,55,2},{51,57,11},{52,55,3},{54,58,1},{54,58,1},{54,58,1},{54,56,1},{63,39,8},{54,56,1},{54,56,1},{53,55,1},{47,59,8},{53,55,1},{60,48,18},{54,58,1},{54,57,2},
{52,57,1},{60,48,18},{62,53,18},{52,57,1},{0,56,18},{62,53,18},{0,56,18},{53,0,26},{53,0,26},{53,0,26},{53,0,26},{53,57,1},{53,57,1},{53,57,1},{53,55,1},{51,56,1},{51,56,1},{56,63,38},{56,61,21},{56,59,24},{56,59,24},{55,63,52},{55,60,18},{55,59,1},{55,58,24},{53,60,53},{54,58,21},{57,61,22},{56,61,5},{57,59,4},{56,59,8},{63,47,52},
{55,60,18},{55,59,1},{54,58,20},{63,55,52},{54,58,20},{56,61,20},{56,61,20},{56,61,20},{56,58,21},{55,61,8},{55,59,1},{55,59,1},{55,57,5},{53,59,8},{54,58,5},{57,59,4},{57,59,4},{57,59,4},{57,58,4},{61,49,8},{56,58,1},{56,58,1},{56,57,4},{63,54,8},{56,57,4},{63,49,18},{56,61,1},{57,59,0},{55,59,0},{63,49,18},{63,56,18},{55,59,0},
{0,58,20},{63,56,18},{0,58,20},{56,0,20},{56,0,20},{56,0,20},{56,0,20},{55,60,0},{55,60,0},{55,60,0},{55,57,1},{54,58,1},{54,58,1},{58,63,56},{58,63,21},{58,61,24},{58,61,24},{58,63,68},{57,62,18},{57,61,1},{57,60,24},{55,62,53},{56,60,21},{59,63,22},{58,63,5},{59,61,4},{58,61,8},{63,53,52},{57,62,18},{57,61,1},{56,60,20},{63,58,52},
{56,60,20},{58,63,20},{58,63,20},{58,63,20},{58,60,21},{57,63,8},{57,61,1},{57,61,1},{57,59,5},{55,61,8},{56,60,5},{59,61,4},{59,61,4},{59,61,4},{59,60,4},{63,51,8},{58,60,1},{58,60,1},{58,59,4},{63,57,8},{58,59,4},{63,55,18},{58,63,1},{59,61,0},{57,61,0},{63,55,18},{63,59,18},{57,61,0},{0,60,20},{63,59,18},{0,60,20},{58,0,20},
{58,0,20},{58,0,20},{58,0,20},{57,62,0},{57,62,0},{57,62,0},{57,59,1},{56,60,1},{56,60,1},{60,63,88},{60,63,40},{60,63,24},{60,63,24},{60,63,88},{59,63,37},{59,63,1},{59,62,24},{58,63,63},{58,62,21},{61,63,40},{61,63,13},{61,63,4},{60,63,8},{63,59,52},{60,63,24},{59,63,1},{58,62,20},{63,61,52},{58,62,20},{60,63,24},{60,63,24},{60,63,24},
{60,62,21},{60,63,24},{59,63,1},{59,63,1},{59,61,5},{57,63,8},{58,62,5},{61,63,4},{61,63,4},{61,63,4},{61,62,4},{63,57,8},{60,62,1},{60,62,1},{60,61,4},{63,60,8},{60,61,4},{63,61,18},{61,63,9},{61,63,0},{59,63,0},{63,61,18},{63,62,18},{59,63,0},{0,62,20},{63,62,18},{0,62,20},{60,0,20},{60,0,20},{60,0,20},{60,0,20},{59,63,1},
{59,63,1},{59,63,1},{59,61,1},{58,62,1},{58,62,1},{62,63,38},{62,63,33},{62,63,29},{62,63,24},{62,63,35},{62,63,25},{62,63,21},{61,63,1},{61,63,23},{60,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{62,63,0},{63,63,4},{62,63,0},{62,63,29},{62,63,29},{62,63,29},{62,63,24},{62,63,26},{62,63,21},{62,63,21},
{61,63,1},{61,63,14},{60,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{63,62,4},{63,63,4},{63,63,4},{62,63,0},{62,63,4},{62,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{62,0,20},{62,0,20},{62,0,20},{62,0,20},{61,63,16},{61,63,16},{61,63,16},{61,63,1},{60,63,4},
{60,63,4},{0,8,74},{0,6,10},{0,4,1},{0,4,26},{0,6,154},{0,4,99},{0,3,50},{0,2,115},{0,3,170},{0,2,119},{0,8,74},{0,6,10},{0,4,1},{0,4,26},{3,0,154},{0,4,99},{0,3,50},{0,2,115},{6,0,154},{0,2,115},{0,4,0},{0,4,0},{0,4,0},{0,2,0},{0,2,13},{0,2,4},{0,2,4},{0,1,5},{0,1,14},{0,1,6},{0,4,0},
{0,4,0},{0,4,0},{0,2,0},{1,0,13},{0,2,4},{0,2,4},{0,1,5},{2,0,13},{0,1,5},{4,0,74},{0,6,10},{0,4,1},{0,4,26},{4,0,74},{8,0,74},{0,4,26},{0,3,74},{8,0,74},{0,3,74},{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},{0,14,83},{0,10,10},{1,6,27},
{0,6,19},{0,11,243},{0,7,110},{0,5,34},{0,4,139},{0,5,280},{0,4,164},{1,12,75},{1,9,2},{1,6,11},{1,6,18},{5,1,243},{0,7,110},{0,5,34},{0,4,139},{11,0,243},{0,4,139},{0,10,9},{0,10,9},{0,10,9},{0,5,9},{0,6,50},{0,5,9},{0,5,9},{0,3,26},{0,3,66},{0,2,33},{1,8,1},{1,8,1},{1,8,1},{1,4,2},{3,0,50},
{0,5,9},{0,5,9},{0,3,26},{6,0,50},{0,3,26},{7,0,74},{1,9,1},{2,6,1},{0,6,10},{7,0,74},{14,0,74},{0,6,10},{0,5,74},{14,0,74},{0,5,74},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,2},{0,1,2},{1,18,137},{1,12,74},{2,9,98},{1,8,67},{0,16,244},{0,10,78},{0,8,2},
{0,6,115},{0,8,344},{0,6,179},{3,14,75},{3,11,2},{3,8,11},{3,8,18},{8,1,243},{0,10,78},{0,8,2},{0,6,115},{15,1,243},{0,6,115},{1,14,65},{1,14,65},{1,14,65},{1,7,66},{0,12,50},{0,8,1},{0,8,1},{0,5,5},{0,5,104},{0,5,41},{3,10,1},{3,10,1},{3,10,1},{3,6,2},{6,0,50},{0,8,1},{0,8,1},{0,5,5},{12,0,50},
{0,5,5},{2,16,72},{3,11,1},{4,8,1},{0,8,1},{2,16,72},{20,0,72},{0,8,1},{0,7,74},{20,0,72},{0,7,74},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,3,25},{0,3,25},{3,20,146},{3,14,83},{4,11,115},{3,10,76},{2,18,245},{2,12,79},{2,10,3},{1,8,108},{0,11,293},{0,8,103},{5,16,73},
{5,13,2},{5,10,11},{5,10,18},{11,1,243},{1,13,75},{2,10,2},{0,8,94},{15,4,243},{0,8,94},{3,16,74},{3,16,74},{3,16,74},{3,9,75},{2,14,51},{2,10,2},{2,10,2},{2,7,6},{0,9,75},{0,7,6},{5,12,1},{5,12,1},{5,12,1},{5,8,2},{9,0,50},{2,10,1},{2,10,1},{0,7,2},{18,0,50},{0,7,2},{5,16,72},{5,13,1},{6,10,1},
{2,10,1},{5,16,72},{26,0,72},{2,10,1},{0,9,74},{26,0,72},{0,9,74},{3,0,74},{3,0,74},{3,0,74},{3,0,74},{2,10,2},{2,10,2},{2,10,2},{2,6,2},{0,7,5},{0,7,5},{6,21,152},{6,16,82},{6,13,109},{5,12,84},{4,21,243},{4,15,78},{4,13,8},{4,11,108},{0,14,255},{0,11,77},{7,19,72},{7,15,1},{7,13,8},{7,12,13},{6,17,243},
{3,15,72},{5,12,5},{0,11,73},{29,0,243},{0,11,73},{6,16,81},{6,16,81},{6,16,81},{5,12,80},{4,17,50},{4,13,4},{4,13,4},{4,9,5},{0,12,52},{1,10,4},{7,15,0},{7,15,0},{7,15,0},{7,11,0},{12,1,50},{5,12,1},{5,12,1},{3,9,4},{25,0,50},{3,9,4},{16,1,72},{7,15,1},{8,13,4},{5,12,4},{16,1,72},{33,0,72},{5,12,4},
{0,11,72},{33,0,72},{0,11,72},{5,0,80},{5,0,80},{5,0,80},{5,0,80},{4,13,0},{4,13,0},{4,13,0},{4,9,1},{1,10,0},{1,10,0},{8,23,152},{8,18,82},{8,15,109},{7,14,84},{6,23,243},{6,16,75},{6,15,8},{6,13,108},{1,17,244},{2,13,77},{9,21,72},{9,17,1},{9,15,8},{9,14,13},{17,1,243},{5,17,72},{7,14,5},{1,13,72},{35,0,243},
{1,13,72},{8,18,81},{8,18,81},{8,18,81},{7,14,80},{6,19,50},{6,15,4},{6,15,4},{6,11,5},{2,14,52},{3,12,4},{9,16,1},{9,16,1},{9,16,1},{9,13,0},{15,1,50},{7,14,1},{7,14,1},{5,11,4},{31,0,50},{5,11,4},{19,1,72},{9,17,1},{10,15,4},{7,14,4},{19,1,72},{39,0,72},{7,14,4},{0,13,72},{39,0,72},{0,13,72},{7,0,80},
{7,0,80},{7,0,80},{7,0,80},{6,15,0},{6,15,0},{6,15,0},{6,11,1},{3,12,0},{3,12,0},{10,25,152},{10,20,82},{10,17,114},{9,16,82},{8,25,243},{8,18,75},{8,16,2},{8,15,108},{3,19,244},{4,15,77},{11,23,72},{11,19,1},{11,16,10},{11,16,17},{20,1,243},{7,19,72},{8,16,2},{3,15,72},{41,0,243},{3,15,72},{10,20,81},{10,20,81},{10,20,81},
{10,15,81},{8,21,50},{8,16,1},{8,16,1},{8,13,5},{4,16,52},{5,14,4},{11,18,1},{11,18,1},{11,18,1},{11,15,0},{15,7,50},{8,16,1},{8,16,1},{7,13,4},{31,3,50},{7,13,4},{22,1,72},{11,19,1},{12,16,2},{8,16,1},{22,1,72},{45,0,72},{8,16,1},{0,15,72},{45,0,72},{0,15,72},{9,0,80},{9,0,80},{9,0,80},{9,0,80},{8,17,0},
{8,17,0},{8,17,0},{8,13,1},{5,14,0},{5,14,0},{12,27,152},{12,22,82},{12,19,114},{11,18,82},{10,27,243},{10,20,75},{10,18,2},{10,16,106},{5,21,244},{6,17,79},{13,25,72},{13,21,1},{13,18,10},{13,18,17},{23,1,243},{9,21,72},{10,18,2},{5,17,74},{47,0,243},{5,17,74},{12,22,81},{12,22,81},{12,22,81},{12,17,80},{10,23,50},{10,18,1},{10,18,1},
{10,15,5},{6,18,52},{8,15,9},{13,20,1},{13,20,1},{13,20,1},{13,17,1},{15,13,50},{10,18,1},{10,18,1},{9,15,4},{31,6,50},{9,15,4},{25,1,72},{13,21,1},{14,18,2},{10,18,1},{25,1,72},{47,2,72},{10,18,1},{0,17,74},{47,2,72},{0,17,74},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{10,19,0},{10,19,0},{10,19,0},{10,15,1},{7,16,0},
{7,16,0},{14,30,146},{14,24,78},{14,21,114},{14,20,79},{12,30,244},{12,23,79},{12,21,7},{12,19,109},{7,23,244},{9,19,76},{15,28,73},{15,23,2},{15,21,14},{15,20,14},{27,0,243},{11,23,75},{13,20,4},{7,19,73},{46,4,243},{7,19,73},{14,25,74},{14,25,74},{14,25,74},{14,19,75},{12,25,53},{12,21,3},{12,21,3},{12,17,6},{8,21,52},{9,18,6},{15,23,1},
{15,23,1},{15,23,1},{15,19,1},{24,1,50},{13,20,0},{13,20,0},{11,17,5},{49,0,50},{11,17,5},{20,17,72},{15,23,1},{16,21,4},{13,20,4},{20,17,72},{57,0,72},{13,20,4},{0,19,72},{57,0,72},{0,19,72},{14,0,74},{14,0,74},{14,0,74},{14,0,74},{12,22,1},{12,22,1},{12,22,1},{12,17,2},{9,18,2},{9,18,2},{16,31,152},{16,26,81},{16,23,109},
{16,22,88},{14,32,244},{14,25,79},{14,23,7},{14,21,109},{9,25,244},{11,21,76},{17,29,72},{17,25,1},{17,23,8},{17,22,13},{30,0,243},{13,25,75},{15,22,4},{9,21,73},{46,7,243},{9,21,73},{16,27,80},{16,27,80},{16,27,80},{16,21,81},{14,27,53},{14,23,3},{14,23,3},{14,19,6},{10,23,52},{11,20,6},{17,25,0},{17,25,0},{17,25,0},{17,21,0},{27,1,50},
{15,22,0},{15,22,0},{13,19,5},{55,0,50},{13,19,5},{23,17,72},{17,25,1},{18,23,4},{15,22,4},{23,17,72},{63,0,72},{15,22,4},{0,21,72},{63,0,72},{0,21,72},{16,0,80},{16,0,80},{16,0,80},{16,0,80},{14,24,1},{14,24,1},{14,24,1},{14,19,2},{11,20,2},{11,20,2},{18,33,152},{18,28,81},{18,25,109},{17,24,84},{16,33,243},{16,27,78},{16,25,8},
{16,23,108},{11,27,244},{13,23,76},{19,31,72},{19,27,1},{19,25,8},{19,24,13},{32,1,243},{15,27,75},{17,24,5},{11,23,73},{46,10,243},{11,23,73},{18,29,80},{18,29,80},{18,29,80},{17,24,80},{16,29,50},{16,25,4},{16,25,4},{16,21,5},{12,25,52},{13,22,6},{19,27,0},{19,27,0},{19,27,0},{19,23,0},{30,1,50},{17,24,1},{17,24,1},{15,21,5},{61,0,50},
{15,21,5},{34,1,72},{19,27,1},{20,25,4},{17,24,4},{34,1,72},{63,3,72},{17,24,4},{0,23,72},{63,3,72},{0,23,72},{17,0,80},{17,0,80},{17,0,80},{17,0,80},{16,25,0},{16,25,0},{16,25,0},{16,21,1},{13,22,2},{13,22,2},{20,35,152},{20,30,81},{20,27,109},{19,26,84},{18,35,243},{18,29,78},{18,27,8},{18,25,108},{13,29,244},{15,25,76},{21,33,72},
{21,29,1},{21,27,8},{21,26,13},{35,1,243},{17,29,72},{19,26,5},{13,25,73},{46,13,243},{13,25,73},{20,31,80},{20,31,80},{20,31,80},{19,26,80},{18,31,50},{18,27,4},{18,27,4},{18,23,5},{14,27,52},{15,24,6},{21,29,0},{21,29,0},{21,29,0},{21,25,0},{33,1,50},{19,26,1},{19,26,1},{17,23,4},{63,2,50},{17,23,4},{37,1,72},{21,29,1},{22,27,4},
{19,26,4},{37,1,72},{63,6,72},{19,26,4},{0,25,72},{63,6,72},{0,25,72},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{18,27,0},{18,27,0},{18,27,0},{18,23,1},{15,24,2},{15,24,2},{22,38,146},{22,32,78},{22,29,111},{22,28,84},{20,38,244},{20,31,74},{20,29,4},{20,27,100},{14,32,247},{17,27,75},{23,36,73},{23,32,3},{23,29,11},{23,28,14},{39,0,243},
{20,31,73},{20,29,3},{16,27,74},{62,8,243},{16,27,74},{22,33,74},{22,33,74},{22,33,74},{22,28,75},{20,33,53},{20,29,3},{20,29,3},{20,25,10},{16,29,50},{18,26,2},{23,31,2},{23,31,2},{23,31,2},{23,27,2},{31,12,50},{21,28,1},{21,28,1},{18,26,1},{62,6,50},{18,26,1},{41,0,72},{23,32,2},{24,29,2},{19,29,2},{41,0,72},{62,10,72},{19,29,2},
{0,27,74},{62,10,72},{0,27,74},{22,0,74},{22,0,74},{22,0,74},{22,0,74},{20,30,1},{20,30,1},{20,30,1},{20,25,1},{18,26,1},{18,26,1},{24,40,146},{24,34,78},{24,31,111},{24,30,84},{22,40,244},{22,33,79},{22,31,4},{22,29,100},{17,33,244},{19,29,75},{25,38,73},{25,33,2},{25,31,11},{25,30,14},{42,0,243},{21,33,75},{22,31,3},{18,29,74},{62,11,243},
{18,29,74},{24,35,74},{24,35,74},{24,35,74},{24,30,75},{22,35,53},{22,31,3},{22,31,3},{22,27,10},{18,31,50},{20,28,2},{25,33,1},{25,33,1},{25,33,1},{25,29,2},{31,18,50},{23,30,1},{23,30,1},{20,28,1},{62,9,50},{20,28,1},{44,0,72},{25,33,1},{26,31,2},{21,31,2},{44,0,72},{62,13,72},{21,31,2},{0,29,74},{62,13,72},{0,29,74},{24,0,74},
{24,0,74},{24,0,74},{24,0,74},{22,32,1},{22,32,1},{22,32,1},{22,27,1},{20,28,1},{20,28,1},{26,42,146},{26,36,78},{26,33,114},{26,32,79},{24,42,244},{24,35,79},{24,33,7},{24,31,100},{19,35,244},{21,31,75},{27,40,73},{27,35,2},{28,33,13},{27,32,14},{45,0,243},{23,35,75},{25,32,4},{20,31,74},{62,14,243},{20,31,74},{26,37,74},{26,37,74},{26,37,74},
{26,32,75},{24,37,53},{24,33,3},{24,33,3},{24,29,10},{20,33,52},{22,30,2},{27,35,1},{27,35,1},{27,35,1},{27,31,2},{34,17,50},{25,32,0},{25,32,0},{22,30,1},{62,12,50},{22,30,1},{47,0,72},{27,35,1},{28,33,4},{25,32,4},{47,0,72},{46,24,72},{25,32,4},{0,31,74},{46,24,72},{0,31,74},{26,0,74},{26,0,74},{26,0,74},{26,0,74},{24,34,1},
{24,34,1},{24,34,1},{24,29,1},{22,30,1},{22,30,1},{28,44,146},{28,38,78},{28,35,114},{28,34,79},{26,44,244},{26,37,79},{26,35,7},{26,33,109},{21,37,244},{23,33,76},{29,42,73},{29,37,2},{30,35,13},{29,34,14},{47,2,243},{25,37,75},{27,34,4},{21,33,73},{62,17,243},{21,33,73},{28,39,74},{28,39,74},{28,39,74},{28,33,75},{26,39,53},{26,35,3},{26,35,3},
{26,31,10},{22,35,52},{23,32,6},{29,37,1},{29,37,1},{29,37,1},{29,33,1},{37,17,50},{27,34,0},{27,34,0},{23,32,5},{62,15,50},{23,32,5},{49,1,72},{29,37,1},{30,35,4},{27,34,4},{49,1,72},{46,27,72},{27,34,4},{0,33,72},{46,27,72},{0,33,72},{28,0,74},{28,0,74},{28,0,74},{28,0,74},{26,36,1},{26,36,1},{26,36,1},{26,31,1},{23,32,2},
{23,32,2},{30,46,146},{30,41,77},{31,37,121},{30,36,81},{29,45,247},{28,39,77},{28,37,9},{28,35,103},{24,39,248},{25,35,76},{31,44,78},{31,40,4},{32,37,11},{31,36,17},{51,0,243},{28,39,73},{28,37,5},{24,35,74},{47,28,243},{24,35,74},{30,42,72},{30,42,72},{30,42,72},{30,36,72},{29,40,54},{29,36,6},{29,36,6},{28,34,9},{24,37,51},{26,34,2},{31,40,4},
{31,40,4},{31,40,4},{31,35,5},{49,0,50},{29,36,2},{29,36,2},{26,34,1},{62,18,50},{26,34,1},{53,0,72},{31,40,0},{32,37,2},{28,37,1},{53,0,72},{62,22,72},{28,37,1},{0,35,74},{62,22,72},{0,35,74},{30,0,72},{30,0,72},{30,0,72},{30,0,72},{29,36,5},{29,36,5},{29,36,5},{28,33,4},{26,34,1},{26,34,1},{32,48,146},{32,42,79},{32,39,111},
{32,38,84},{31,47,247},{30,41,77},{30,39,9},{30,37,103},{26,41,248},{27,37,76},{33,46,73},{33,42,3},{33,39,11},{33,38,14},{54,0,243},{30,41,73},{30,39,5},{26,37,74},{47,31,243},{26,37,74},{32,43,75},{32,43,75},{32,43,75},{32,38,75},{31,42,54},{31,38,6},{31,38,6},{30,36,9},{26,39,51},{28,36,2},{33,41,2},{33,41,2},{33,41,2},{33,37,2},{52,0,50},
{31,38,2},{31,38,2},{28,36,1},{62,21,50},{28,36,1},{56,0,72},{33,42,2},{34,39,2},{30,39,1},{56,0,72},{62,25,72},{30,39,1},{0,37,74},{62,25,72},{0,37,74},{32,0,74},{32,0,74},{32,0,74},{32,0,74},{31,38,5},{31,38,5},{31,38,5},{30,35,4},{28,36,1},{28,36,1},{34,50,146},{34,44,79},{34,41,111},{34,40,84},{32,50,244},{32,43,74},{32,41,4},
{32,39,100},{28,43,248},{29,39,76},{35,48,73},{35,44,3},{35,41,11},{35,40,14},{57,0,243},{32,43,73},{32,41,3},{28,39,74},{50,32,243},{28,39,74},{34,45,75},{34,45,75},{34,45,75},{34,40,75},{32,46,51},{32,41,3},{32,41,3},{32,37,10},{28,41,51},{30,38,2},{35,43,2},{35,43,2},{35,43,2},{35,39,2},{55,0,50},{33,40,1},{33,40,1},{30,38,1},{62,24,50},
{30,38,1},{59,0,72},{35,44,2},{36,41,2},{31,41,2},{59,0,72},{62,28,72},{31,41,2},{0,39,74},{62,28,72},{0,39,74},{34,0,74},{34,0,74},{34,0,74},{34,0,74},{32,42,1},{32,42,1},{32,42,1},{32,37,1},{30,38,1},{30,38,1},{36,52,146},{36,46,79},{36,43,111},{36,42,84},{34,52,244},{34,45,74},{34,43,4},{34,41,100},{30,45,248},{31,41,76},{37,50,73},
{37,46,3},{37,43,11},{37,42,14},{60,0,243},{34,45,73},{34,43,3},{30,41,74},{56,32,243},{30,41,74},{36,47,75},{36,47,75},{36,47,75},{36,42,75},{34,47,53},{34,43,3},{34,43,3},{34,39,10},{30,43,51},{32,40,2},{37,45,2},{37,45,2},{37,45,2},{37,41,2},{58,0,50},{35,42,1},{35,42,1},{32,40,1},{62,27,50},{32,40,1},{62,0,72},{37,46,2},{38,43,2},
{33,43,2},{62,0,72},{62,31,72},{33,43,2},{0,41,74},{62,31,72},{0,41,74},{36,0,74},{36,0,74},{36,0,74},{36,0,74},{34,44,1},{34,44,1},{34,44,1},{34,39,1},{32,40,1},{32,40,1},{38,54,146},{38,49,77},{39,45,120},{38,45,76},{37,53,247},{36,47,78},{37,45,5},{36,43,100},{31,48,243},{33,43,81},{40,50,78},{39,48,4},{40,45,8},{39,45,20},{63,1,243},
{36,47,74},{37,45,1},{33,43,80},{63,32,243},{33,43,80},{38,50,72},{38,50,72},{38,50,72},{38,44,72},{37,48,54},{37,45,5},{37,45,5},{36,42,8},{32,45,53},{34,42,1},{40,46,4},{40,46,4},{40,46,4},{40,43,4},{53,16,50},{37,45,1},{37,45,1},{35,42,0},{63,30,50},{35,42,0},{63,5,72},{39,48,0},{41,45,1},{36,45,0},{63,5,72},{47,42,72},{36,45,0},
{0,43,80},{47,42,72},{0,43,80},{38,0,72},{38,0,72},{38,0,72},{38,0,72},{37,45,4},{37,45,4},{37,45,4},{37,41,4},{34,42,1},{34,42,1},{40,56,146},{40,51,77},{41,47,120},{40,47,76},{39,55,247},{38,49,77},{39,47,5},{38,45,100},{34,49,248},{35,45,81},{42,52,78},{41,50,4},{42,47,8},{41,47,20},{63,7,243},{38,49,73},{39,47,1},{35,45,80},{63,35,243},
{35,45,80},{40,52,72},{40,52,72},{40,52,72},{40,46,72},{39,50,54},{39,47,5},{39,47,5},{38,44,8},{34,47,53},{36,44,1},{42,48,4},{42,48,4},{42,48,4},{42,45,4},{56,16,50},{39,47,1},{39,47,1},{37,44,0},{62,33,50},{37,44,0},{63,11,72},{41,50,0},{43,47,1},{38,47,0},{63,11,72},{47,45,72},{38,47,0},{0,45,80},{47,45,72},{0,45,80},{40,0,72},
{40,0,72},{40,0,72},{40,0,72},{39,47,4},{39,47,4},{39,47,4},{39,43,4},{36,44,1},{36,44,1},{42,58,146},{42,53,77},{43,49,121},{42,48,81},{41,57,247},{40,51,77},{40,49,9},{40,47,100},{36,51,248},{37,47,81},{44,54,78},{43,52,4},{44,49,6},{43,48,17},{63,13,243},{40,51,73},{40,49,5},{37,47,80},{63,38,243},{37,47,80},{42,54,72},{42,54,72},{42,54,72},
{42,48,72},{41,52,54},{41,48,6},{41,48,6},{40,46,8},{36,49,51},{38,46,1},{44,50,4},{44,50,4},{44,50,4},{44,47,4},{59,16,50},{41,48,2},{41,48,2},{39,46,0},{62,36,50},{39,46,0},{55,32,72},{43,52,0},{44,49,2},{40,49,1},{55,32,72},{46,48,72},{40,49,1},{0,47,80},{46,48,72},{0,47,80},{42,0,72},{42,0,72},{42,0,72},{42,0,72},{41,48,5},
{41,48,5},{41,48,5},{41,45,4},{38,46,1},{38,46,1},{44,60,146},{44,55,77},{45,51,121},{44,50,81},{43,59,247},{42,53,77},{42,51,9},{42,49,103},{38,53,248},{39,49,76},{46,56,78},{45,54,4},{46,51,6},{45,50,17},{63,19,243},{42,53,73},{42,51,5},{38,49,74},{63,41,243},{38,49,74},{44,56,72},{44,56,72},{44,56,72},{44,50,72},{43,54,54},{43,50,6},{43,50,6},
{42,48,9},{38,51,51},{40,48,2},{46,52,4},{46,52,4},{46,52,4},{46,49,4},{62,16,50},{43,50,2},{43,50,2},{40,48,1},{62,39,50},{40,48,1},{58,32,72},{45,54,0},{46,51,2},{42,51,1},{58,32,72},{52,48,72},{42,51,1},{0,49,74},{52,48,72},{0,49,74},{44,0,72},{44,0,72},{44,0,72},{44,0,72},{43,50,5},{43,50,5},{43,50,5},{43,47,4},{40,48,1},
{40,48,1},{46,63,146},{46,57,79},{47,53,115},{46,53,78},{45,61,245},{45,55,77},{45,53,2},{44,51,105},{39,56,243},{42,51,82},{48,59,76},{48,55,9},{48,53,8},{47,53,18},{59,33,243},{44,55,74},{45,53,1},{41,51,80},{55,48,243},{41,51,80},{46,59,74},{46,59,74},{46,59,74},{46,52,75},{45,57,51},{45,53,2},{45,53,2},{44,50,10},{41,53,51},{42,50,1},{48,54,4},
{48,54,4},{48,54,4},{48,51,4},{63,21,50},{45,53,1},{45,53,1},{43,50,0},{63,42,50},{43,50,0},{63,29,72},{47,56,2},{49,53,1},{44,53,1},{63,29,72},{63,46,72},{44,53,1},{0,51,80},{63,46,72},{0,51,80},{46,0,74},{46,0,74},{46,0,74},{46,0,74},{45,53,1},{45,53,1},{45,53,1},{45,49,1},{42,50,1},{42,50,1},{48,63,152},{48,59,77},{49,55,120},
{48,55,76},{47,63,245},{47,57,77},{47,55,2},{46,53,105},{41,58,243},{44,53,82},{50,61,76},{49,58,4},{50,55,8},{49,55,20},{62,33,243},{46,57,74},{47,55,1},{43,53,80},{61,48,243},{43,53,80},{48,60,72},{48,60,72},{48,60,72},{48,54,72},{47,59,51},{47,55,2},{47,55,2},{46,52,10},{43,55,51},{44,52,1},{50,56,4},{50,56,4},{50,56,4},{50,53,4},{63,27,50},
{47,55,1},{47,55,1},{45,52,0},{63,45,50},{45,52,0},{63,35,72},{49,58,0},{51,55,1},{46,55,1},{63,35,72},{63,49,72},{46,55,1},{0,53,80},{63,49,72},{0,53,80},{48,0,72},{48,0,72},{48,0,72},{48,0,72},{47,55,1},{47,55,1},{47,55,1},{47,51,1},{44,52,1},{44,52,1},{51,63,184},{50,61,77},{51,57,120},{50,57,76},{49,63,268},{48,59,78},{49,57,5},
{48,55,100},{43,60,243},{46,55,82},{52,63,76},{51,60,4},{52,57,8},{51,57,20},{63,37,243},{48,59,74},{49,57,1},{45,55,80},{63,50,243},{45,55,80},{50,62,72},{50,62,72},{50,62,72},{50,56,72},{49,60,56},{49,57,5},{49,57,5},{48,54,8},{45,57,51},{46,54,1},{52,58,4},{52,58,4},{52,58,4},{52,55,4},{63,33,50},{49,57,1},{49,57,1},{47,54,0},{47,56,50},
{47,54,0},{63,41,72},{51,60,0},{53,57,1},{48,57,0},{63,41,72},{63,52,72},{48,57,0},{0,55,80},{63,52,72},{0,55,80},{50,0,72},{50,0,72},{50,0,72},{50,0,72},{49,57,4},{49,57,4},{49,57,4},{49,53,4},{46,54,1},{46,54,1},{53,63,226},{52,63,77},{53,59,120},{52,59,76},{52,63,300},{50,61,78},{51,59,5},{50,57,100},{45,62,243},{47,57,84},{54,63,84},
{53,62,4},{54,59,8},{53,59,20},{63,43,243},{49,62,73},{51,59,1},{47,57,80},{63,53,243},{47,57,80},{52,63,76},{52,63,76},{52,63,76},{52,58,72},{51,62,56},{51,59,5},{51,59,5},{50,56,8},{47,59,51},{48,56,1},{54,60,4},{54,60,4},{54,60,4},{54,57,4},{63,39,50},{51,59,1},{51,59,1},{49,56,0},{47,59,50},{49,56,0},{63,47,72},{53,62,0},{55,59,1},
{50,59,0},{63,47,72},{63,55,72},{50,59,0},{0,57,80},{63,55,72},{0,57,80},{52,0,72},{52,0,72},{52,0,72},{52,0,72},{51,59,4},{51,59,4},{51,59,4},{51,55,4},{48,56,1},{48,56,1},{56,63,314},{55,63,115},{55,62,115},{54,61,76},{54,63,364},{53,63,79},{53,61,3},{52,59,108},{48,63,252},{49,60,79},{57,63,115},{56,63,10},{56,61,11},{56,61,18},{63,50,243},
{53,63,78},{53,61,2},{47,60,75},{62,57,243},{47,60,75},{54,63,99},{54,63,99},{54,63,99},{54,60,75},{53,63,69},{53,61,2},{53,61,2},{53,58,6},{49,61,51},{50,58,6},{56,63,1},{56,63,1},{56,63,1},{56,59,2},{61,49,50},{53,61,1},{53,61,1},{51,58,2},{63,54,50},{51,58,2},{63,53,74},{56,63,9},{57,61,1},{53,61,1},{63,53,74},{63,58,74},{53,61,1},
{0,60,74},{63,58,74},{0,60,74},{54,0,74},{54,0,74},{54,0,74},{54,0,74},{53,61,2},{53,61,2},{53,61,2},{53,57,2},{50,59,2},{50,59,2},{57,63,371},{57,63,179},{57,63,115},{56,63,75},{57,63,387},{55,63,123},{55,63,2},{54,61,91},{52,63,286},{51,62,70},{59,63,146},{58,63,59},{58,63,10},{58,63,17},{63,55,221},{57,63,98},{55,63,1},{49,62,66},{63,59,221},
{49,62,66},{57,63,115},{57,63,115},{57,63,115},{56,62,75},{56,63,93},{55,63,2},{55,63,2},{55,60,6},{51,63,51},{52,60,6},{58,63,10},{58,63,10},{58,63,10},{58,61,2},{63,51,50},{55,63,1},{55,63,1},{53,60,2},{63,57,50},{53,60,2},{63,59,61},{60,63,25},{59,63,0},{55,63,0},{63,59,61},{63,61,61},{55,63,0},{0,62,65},{63,61,61},{0,62,65},{56,0,74},
{56,0,74},{56,0,74},{56,0,74},{55,63,2},{55,63,2},{55,63,2},{55,59,2},{52,61,2},{52,61,2},{60,63,259},{59,63,190},{59,63,154},{58,63,90},{59,63,270},{58,63,91},{57,63,35},{57,62,22},{56,63,194},{54,63,11},{61,63,70},{60,63,42},{60,63,26},{60,63,2},{63,59,94},{60,63,42},{59,63,13},{53,63,10},{63,61,94},{53,63,10},{59,63,154},{59,63,154},{59,63,154},
{58,63,90},{58,63,147},{57,63,35},{57,63,35},{57,62,6},{55,63,77},{54,62,6},{60,63,26},{60,63,26},{60,63,26},{60,63,2},{63,57,50},{59,63,13},{59,63,13},{55,62,2},{63,60,50},{55,62,2},{63,62,5},{62,63,4},{62,63,0},{61,63,0},{63,62,5},{62,63,5},{61,63,0},{0,63,9},{62,63,5},{0,63,9},{58,0,74},{58,0,74},{58,0,74},{58,0,74},{57,63,10},
{57,63,10},{57,63,10},{57,61,2},{54,63,2},{54,63,2},{61,63,162},{61,63,135},{61,63,126},{60,63,90},{61,63,154},{60,63,66},{60,63,50},{59,63,2},{59,63,109},{57,63,10},{62,63,19},{62,63,14},{62,63,10},{62,63,5},{63,62,17},{62,63,12},{62,63,8},{59,63,1},{62,63,17},{59,63,1},{61,63,126},{61,63,126},{61,63,126},{60,63,90},{60,63,98},{60,63,50},{60,63,50},
{59,63,2},{58,63,62},{57,63,10},{62,63,10},{62,63,10},{62,63,10},{62,63,5},{63,61,13},{62,63,8},{62,63,8},{59,63,1},{63,62,13},{59,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{60,0,74},{60,0,74},{60,0,74},{60,0,74},{60,63,34},{60,63,34},{60,63,34},{59,63,2},{57,63,10},
{57,63,10},{0,14,202},{0,10,25},{0,7,1},{0,6,74},{0,10,441},{0,6,282},{0,5,133},{0,4,318},{0,5,477},{0,4,343},{0,14,202},{0,10,25},{0,7,1},{0,6,74},{5,0,441},{0,6,282},{0,5,133},{0,4,318},{10,0,441},{0,4,318},{0,7,0},{0,7,0},{0,7,0},{0,3,1},{0,3,41},{0,3,17},{0,3,17},{0,2,26},{0,2,45},{0,1,30},{0,7,0},
{0,7,0},{0,7,0},{0,3,1},{2,0,41},{0,3,17},{0,3,17},{0,2,26},{3,0,41},{0,2,26},{7,0,202},{0,10,25},{0,7,1},{0,6,74},{7,0,202},{14,0,202},{0,6,74},{0,5,202},{14,0,202},{0,5,202},{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},{0,20,200},{0,14,1},{0,10,25},
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{0,5,52},{0,5,52},{0,3,89},{6,0,145},{0,3,89},{2,16,200},{0,14,1},{2,9,1},{0,8,41},{2,16,200},{20,0,200},{0,8,41},{0,7,202},{20,0,200},{0,7,202},{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},{1,24,225},{1,16,27},{1,12,83},{1,11,51},{0,19,724},{0,12,299},{0,10,62},
{0,8,414},{0,9,875},{0,7,500},{2,22,201},{2,16,6},{2,12,26},{1,11,35},{10,0,723},{0,12,299},{0,10,62},{0,8,414},{14,3,723},{0,8,414},{1,17,25},{1,17,25},{1,17,25},{1,9,25},{0,12,162},{0,8,25},{0,8,25},{0,5,61},{0,5,216},{0,5,97},{2,15,1},{2,15,1},{2,15,1},{2,8,2},{6,0,162},{0,8,25},{0,8,25},{0,5,61},{12,0,162},
{0,5,61},{5,16,200},{1,16,2},{4,11,1},{0,11,17},{5,16,200},{26,0,200},{0,11,17},{0,9,202},{26,0,200},{0,9,202},{1,0,25},{1,0,25},{1,0,25},{1,0,25},{0,5,1},{0,5,1},{0,5,1},{0,3,1},{0,2,8},{0,2,8},{2,28,313},{2,19,118},{2,14,203},{2,13,130},{0,25,724},{0,16,236},{0,13,6},{0,10,339},{0,11,984},{0,10,508},{4,24,201},
{4,17,5},{4,14,26},{3,13,35},{13,0,723},{0,16,236},{0,13,6},{0,10,339},{14,6,723},{0,10,339},{2,21,113},{2,21,113},{2,21,113},{2,11,114},{0,18,162},{0,12,2},{0,12,2},{0,7,34},{0,8,280},{0,7,115},{4,17,1},{4,17,1},{4,17,1},{4,10,2},{9,0,162},{0,12,2},{0,12,2},{0,7,34},{18,0,162},{0,7,34},{16,0,200},{3,18,2},{6,13,1},
{0,13,2},{16,0,200},{32,0,200},{0,13,2},{0,11,202},{32,0,200},{0,11,202},{2,0,113},{2,0,113},{2,0,113},{2,0,113},{0,11,1},{0,11,1},{0,11,1},{0,6,1},{0,5,40},{0,5,40},{4,31,408},{4,22,216},{4,16,317},{3,15,216},{1,30,723},{1,19,216},{1,15,9},{0,12,312},{0,15,1000},{0,12,440},{6,27,200},{6,20,1},{7,16,29},{5,15,36},{16,0,723},
{0,19,203},{2,15,5},{0,12,296},{32,0,723},{0,12,296},{4,23,209},{4,23,209},{4,23,209},{4,14,208},{1,23,162},{1,16,4},{1,16,4},{1,10,20},{0,11,294},{0,10,89},{6,19,1},{6,19,1},{6,19,1},{6,13,0},{12,1,162},{2,15,1},{2,15,1},{0,10,8},{25,0,162},{0,10,8},{19,1,200},{6,20,1},{8,15,5},{2,15,4},{19,1,200},{39,0,200},{2,15,4},
{0,13,200},{39,0,200},{0,13,200},{3,0,208},{3,0,208},{3,0,208},{3,0,208},{1,16,0},{1,16,0},{1,16,0},{1,9,1},{0,8,45},{0,8,45},{6,33,408},{6,24,216},{6,18,317},{5,17,213},{3,32,723},{3,21,216},{3,17,2},{2,14,312},{0,18,888},{0,14,293},{8,29,200},{8,22,1},{9,17,26},{8,17,37},{19,0,723},{1,22,200},{3,17,2},{0,14,257},{38,0,723},
{0,14,257},{6,25,209},{6,25,209},{6,25,209},{5,16,208},{3,25,162},{3,17,1},{3,17,1},{3,12,20},{0,15,228},{0,12,20},{8,21,1},{8,21,1},{8,21,1},{8,15,0},{15,1,162},{3,17,1},{3,17,1},{0,12,4},{31,0,162},{0,12,4},{22,1,200},{8,22,1},{10,17,2},{3,17,1},{22,1,200},{45,0,200},{3,17,1},{0,15,200},{45,0,200},{0,15,200},{5,0,208},
{5,0,208},{5,0,208},{5,0,208},{3,18,0},{3,18,0},{3,18,0},{3,11,1},{0,11,13},{0,11,13},{8,35,408},{8,26,216},{8,20,317},{7,19,213},{5,34,723},{5,23,216},{5,19,2},{4,16,298},{0,22,804},{0,16,228},{10,31,200},{10,24,1},{11,19,26},{10,19,37},{22,0,723},{3,24,200},{5,19,2},{0,16,227},{44,0,723},{0,16,227},{8,27,209},{8,27,209},{8,27,209},
{7,18,208},{5,27,162},{5,19,1},{5,19,1},{5,14,20},{0,18,180},{0,15,4},{10,23,1},{10,23,1},{10,23,1},{10,17,1},{15,7,162},{5,19,1},{5,19,1},{2,14,4},{31,3,162},{2,14,4},{25,1,200},{10,24,1},{12,19,2},{5,19,1},{25,1,200},{47,2,200},{5,19,1},{0,17,202},{47,2,200},{0,17,202},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{5,20,0},
{5,20,0},{5,20,0},{5,13,1},{0,15,0},{0,15,0},{10,37,408},{10,28,216},{10,22,317},{9,21,213},{7,36,723},{7,25,216},{7,21,2},{6,18,298},{0,25,748},{1,19,218},{12,33,200},{12,26,1},{13,21,26},{12,21,37},{25,0,723},{5,26,200},{7,21,2},{0,19,211},{50,0,723},{0,19,211},{10,29,209},{10,29,209},{10,29,209},{9,20,208},{7,29,162},{7,21,1},{7,21,1},
{7,16,17},{0,21,164},{3,16,3},{12,25,1},{12,25,1},{12,25,1},{12,19,1},{15,13,162},{7,21,1},{7,21,1},{4,16,1},{31,6,162},{4,16,1},{28,1,200},{12,26,1},{14,21,2},{7,21,1},{28,1,200},{47,5,200},{7,21,1},{0,19,202},{47,5,200},{0,19,202},{9,0,208},{9,0,208},{9,0,208},{9,0,208},{7,22,0},{7,22,0},{7,22,0},{7,15,1},{2,17,0},
{2,17,0},{12,39,404},{12,30,212},{13,24,318},{12,23,215},{9,39,724},{9,27,212},{9,24,7},{8,20,306},{0,28,724},{3,21,210},{14,35,203},{14,28,2},{15,24,22},{14,23,30},{28,1,723},{7,28,203},{10,23,4},{0,21,201},{47,5,723},{0,21,201},{12,32,202},{12,32,202},{12,32,202},{12,22,202},{9,31,165},{9,24,3},{9,24,3},{9,18,14},{2,24,164},{4,19,6},{14,28,1},
{14,28,1},{14,28,1},{14,21,1},{24,1,162},{10,23,0},{10,23,0},{6,18,5},{49,0,162},{6,18,5},{23,17,200},{14,28,1},{16,24,4},{10,23,4},{23,17,200},{63,0,200},{10,23,4},{0,21,200},{63,0,200},{0,21,200},{12,0,202},{12,0,202},{12,0,202},{12,0,202},{9,25,1},{9,25,1},{9,25,1},{9,17,2},{4,19,2},{4,19,2},{14,41,404},{14,32,215},{15,26,318},
{14,25,215},{11,41,724},{11,29,212},{11,26,7},{10,22,306},{2,30,724},{5,23,210},{16,37,200},{16,30,1},{17,26,24},{16,25,40},{31,1,723},{9,30,203},{12,25,4},{2,23,201},{47,8,723},{2,23,201},{14,34,202},{14,34,202},{14,34,202},{14,24,202},{11,33,163},{11,26,3},{11,26,3},{11,20,14},{4,26,164},{6,21,6},{16,30,0},{16,30,0},{16,30,0},{16,23,0},{27,1,162},
{12,25,0},{12,25,0},{8,20,5},{55,0,162},{8,20,5},{34,1,200},{16,30,1},{18,26,4},{12,25,4},{34,1,200},{63,3,200},{12,25,4},{0,23,200},{63,3,200},{0,23,200},{14,0,202},{14,0,202},{14,0,202},{14,0,202},{11,27,1},{11,27,1},{11,27,1},{11,19,2},{6,21,2},{6,21,2},{16,43,408},{16,34,216},{16,28,312},{16,27,221},{13,43,724},{13,31,212},{13,28,7},
{12,24,306},{4,32,724},{7,25,210},{18,39,200},{18,32,1},{19,28,24},{17,27,36},{34,0,723},{11,32,201},{14,27,4},{4,25,201},{47,11,723},{4,25,201},{16,35,209},{16,35,209},{16,35,209},{16,26,208},{13,35,163},{13,28,3},{13,28,3},{13,22,14},{6,28,164},{8,23,6},{18,31,1},{18,31,1},{18,31,1},{18,25,0},{30,1,162},{14,27,0},{14,27,0},{10,22,5},{61,0,162},
{10,22,5},{37,1,200},{18,32,1},{20,28,4},{14,27,4},{37,1,200},{63,6,200},{14,27,4},{0,25,200},{63,6,200},{0,25,200},{16,0,208},{16,0,208},{16,0,208},{16,0,208},{13,29,1},{13,29,1},{13,29,1},{13,21,2},{8,23,2},{8,23,2},{18,45,408},{18,36,216},{18,30,312},{17,29,216},{15,45,724},{15,33,210},{15,30,7},{14,26,306},{6,34,724},{9,27,210},{20,41,200},
{20,34,1},{21,30,24},{19,29,36},{37,0,723},{13,34,201},{16,29,5},{6,27,201},{47,14,723},{6,27,201},{18,37,209},{18,37,209},{18,37,209},{18,28,208},{15,37,163},{15,30,3},{15,30,3},{15,24,14},{8,30,164},{10,25,6},{20,33,1},{20,33,1},{20,33,1},{20,27,0},{33,1,162},{16,29,1},{16,29,1},{12,24,5},{63,2,162},{12,24,5},{40,1,200},{20,34,1},{22,30,4},
{16,29,4},{40,1,200},{63,9,200},{16,29,4},{0,27,200},{63,9,200},{0,27,200},{17,0,208},{17,0,208},{17,0,208},{17,0,208},{15,31,1},{15,31,1},{15,31,1},{15,23,2},{10,25,2},{10,25,2},{20,47,404},{20,38,212},{21,32,318},{20,31,215},{17,47,724},{17,35,212},{17,32,7},{16,29,308},{8,36,724},{11,29,210},{22,44,201},{22,36,2},{23,32,22},{22,31,35},{40,1,723},
{15,36,206},{17,32,6},{9,29,202},{63,9,723},{9,29,202},{20,40,202},{20,40,202},{20,40,202},{20,30,203},{17,39,165},{17,32,3},{17,32,3},{17,26,19},{10,32,164},{13,27,2},{22,36,1},{22,36,1},{22,36,1},{22,29,2},{31,12,162},{18,31,1},{18,31,1},{13,27,1},{62,6,162},{13,27,1},{44,0,200},{22,36,1},{24,32,4},{16,32,4},{44,0,200},{62,13,200},{16,32,4},
{0,29,202},{62,13,200},{0,29,202},{20,0,202},{20,0,202},{20,0,202},{20,0,202},{17,33,1},{17,33,1},{17,33,1},{17,25,1},{13,27,1},{13,27,1},{22,49,404},{22,40,212},{23,34,318},{22,33,215},{19,49,724},{19,37,212},{19,34,7},{18,31,308},{10,38,724},{13,31,210},{24,46,201},{24,38,2},{25,34,22},{24,33,30},{43,1,723},{17,38,203},{20,33,4},{11,31,202},{63,12,723},
{11,31,202},{22,42,202},{22,42,202},{22,42,202},{22,32,202},{19,41,165},{19,34,3},{19,34,3},{19,28,19},{12,34,164},{15,29,2},{24,38,1},{24,38,1},{24,38,1},{24,31,2},{31,18,162},{20,33,0},{20,33,0},{15,29,1},{62,9,162},{15,29,1},{47,0,200},{24,38,1},{26,34,4},{20,33,4},{47,0,200},{46,24,200},{20,33,4},{0,31,202},{46,24,200},{0,31,202},{22,0,202},
{22,0,202},{22,0,202},{22,0,202},{19,35,1},{19,35,1},{19,35,1},{19,27,1},{15,29,1},{15,29,1},{24,51,404},{24,42,212},{25,36,318},{24,35,215},{21,51,724},{21,39,212},{21,36,7},{20,32,306},{12,40,724},{15,33,213},{26,47,203},{26,40,2},{27,36,22},{26,35,30},{46,1,723},{19,40,203},{22,35,4},{13,33,200},{63,15,723},{13,33,200},{24,44,202},{24,44,202},{24,44,202},
{24,34,202},{21,43,165},{21,36,3},{21,36,3},{21,30,19},{14,36,164},{17,31,2},{26,40,1},{26,40,1},{26,40,1},{26,33,1},{34,17,162},{22,35,0},{22,35,0},{17,31,1},{62,12,162},{17,31,1},{49,1,200},{26,40,1},{28,36,4},{22,35,4},{49,1,200},{46,27,200},{22,35,4},{0,33,200},{46,27,200},{0,33,200},{24,0,202},{24,0,202},{24,0,202},{24,0,202},{21,37,1},
{21,37,1},{21,37,1},{21,29,1},{17,31,1},{17,31,1},{26,53,404},{26,44,212},{27,38,318},{26,37,215},{23,53,724},{23,41,212},{23,38,7},{22,34,306},{14,42,724},{17,35,210},{28,49,203},{28,42,2},{29,38,22},{28,37,30},{47,5,723},{21,42,203},{24,37,4},{15,35,200},{63,18,723},{15,35,200},{26,46,202},{26,46,202},{26,46,202},{26,36,202},{23,45,165},{23,38,3},{23,38,3},
{23,32,14},{16,38,164},{18,33,6},{28,42,1},{28,42,1},{28,42,1},{28,35,1},{37,17,162},{24,37,0},{24,37,0},{20,32,5},{62,15,162},{20,32,5},{52,1,200},{28,42,1},{30,38,4},{24,37,4},{52,1,200},{46,30,200},{24,37,4},{0,35,200},{46,30,200},{0,35,200},{26,0,202},{26,0,202},{26,0,202},{26,0,202},{23,39,1},{23,39,1},{23,39,1},{23,31,1},{18,33,2},
{18,33,2},{28,56,400},{28,46,216},{29,40,314},{28,39,213},{26,53,728},{25,44,215},{25,40,9},{25,37,306},{17,44,728},{19,37,210},{31,50,204},{30,45,4},{31,40,21},{30,39,29},{52,1,723},{24,44,201},{25,40,5},{17,37,202},{46,30,723},{17,37,202},{28,49,200},{28,49,200},{28,49,200},{28,38,201},{26,46,166},{26,39,6},{26,39,6},{25,34,17},{18,40,163},{21,35,2},{31,43,4},
{31,43,4},{31,43,4},{31,37,4},{49,0,162},{26,39,2},{26,39,2},{21,35,1},{62,18,162},{21,35,1},{56,0,200},{30,45,0},{32,40,2},{25,40,1},{56,0,200},{62,25,200},{25,40,1},{0,37,202},{62,25,200},{0,37,202},{28,0,200},{28,0,200},{28,0,200},{28,0,200},{26,39,5},{26,39,5},{26,39,5},{25,33,4},{21,35,1},{21,35,1},{30,58,400},{30,48,217},{31,42,314},
{30,41,213},{28,55,728},{27,46,215},{27,42,9},{27,39,306},{19,46,728},{21,39,210},{32,54,201},{32,47,3},{33,42,19},{32,41,35},{55,1,723},{26,46,201},{27,42,5},{19,39,202},{47,32,723},{19,39,202},{30,51,200},{30,51,200},{30,51,200},{30,40,201},{28,48,166},{28,41,6},{28,41,6},{27,36,17},{20,42,163},{23,37,2},{32,46,2},{32,46,2},{32,46,2},{32,39,2},{52,0,162},
{28,41,2},{28,41,2},{23,37,1},{62,21,162},{23,37,1},{59,0,200},{32,47,2},{34,42,2},{27,42,1},{59,0,200},{62,28,200},{27,42,1},{0,39,202},{62,28,200},{0,39,202},{30,0,200},{30,0,200},{30,0,200},{30,0,200},{28,41,5},{28,41,5},{28,41,5},{27,35,4},{23,37,1},{23,37,1},{32,60,402},{32,50,212},{32,44,324},{32,43,215},{30,57,728},{29,47,216},{29,44,9},
{29,41,306},{20,48,724},{23,41,210},{34,56,201},{34,48,2},{35,44,19},{34,43,35},{58,1,723},{28,48,201},{29,44,5},{21,41,202},{53,32,723},{21,41,202},{32,52,202},{32,52,202},{32,52,202},{32,42,203},{30,50,166},{30,43,6},{30,43,6},{29,38,17},{22,44,163},{25,39,2},{34,48,1},{34,48,1},{34,48,1},{34,41,2},{55,0,162},{30,43,2},{30,43,2},{25,39,1},{62,24,162},
{25,39,1},{62,0,200},{34,48,1},{36,44,2},{29,44,1},{62,0,200},{62,31,200},{29,44,1},{0,41,202},{62,31,200},{0,41,202},{32,0,202},{32,0,202},{32,0,202},{32,0,202},{30,43,5},{30,43,5},{30,43,5},{29,37,4},{25,39,1},{25,39,1},{34,62,402},{34,52,212},{34,46,324},{34,45,215},{31,61,728},{31,49,210},{31,46,9},{31,43,306},{22,50,724},{25,43,210},{36,58,201},
{36,50,2},{37,46,19},{36,45,35},{61,1,723},{30,50,201},{31,46,5},{23,43,202},{59,32,723},{23,43,202},{34,54,202},{34,54,202},{34,54,202},{34,44,203},{31,54,166},{31,46,8},{31,46,8},{31,40,17},{24,46,163},{27,41,2},{36,50,1},{36,50,1},{36,50,1},{36,43,2},{58,0,162},{32,45,1},{32,45,1},{27,41,1},{62,27,162},{27,41,1},{63,4,200},{36,50,1},{38,46,2},
{31,46,1},{63,4,200},{62,34,200},{31,46,1},{0,43,202},{62,34,200},{0,43,202},{34,0,202},{34,0,202},{34,0,202},{34,0,202},{31,47,5},{31,47,5},{31,47,5},{31,39,4},{27,41,1},{27,41,1},{36,63,408},{36,54,216},{37,48,314},{36,47,217},{34,62,727},{33,52,215},{33,48,9},{32,45,308},{24,53,723},{28,45,217},{39,58,206},{38,53,4},{39,48,21},{38,47,36},{63,4,723},
{32,52,201},{33,48,5},{26,45,208},{62,34,723},{26,45,208},{36,57,200},{36,57,200},{36,57,200},{36,47,201},{34,54,166},{33,48,8},{33,48,8},{33,43,20},{26,48,163},{29,43,1},{39,51,4},{39,51,4},{39,51,4},{39,45,4},{53,16,162},{35,47,4},{35,47,4},{30,43,0},{63,30,162},{30,43,0},{63,11,200},{38,53,0},{40,48,2},{33,48,1},{63,11,200},{47,45,200},{33,48,1},
{0,45,208},{47,45,200},{0,45,208},{36,0,200},{36,0,200},{36,0,200},{36,0,200},{34,47,5},{34,47,5},{34,47,5},{34,41,4},{29,43,1},{29,43,1},{39,63,440},{38,56,216},{39,50,314},{38,49,213},{36,63,728},{35,54,215},{35,50,9},{34,47,308},{26,55,723},{30,47,217},{41,60,206},{40,55,4},{41,50,21},{40,49,29},{63,10,723},{34,54,201},{35,50,5},{28,47,208},{62,37,723},
{28,47,208},{38,59,200},{38,59,200},{38,59,200},{38,48,201},{36,56,166},{36,49,6},{36,49,6},{35,45,20},{28,50,163},{31,45,1},{41,53,4},{41,53,4},{41,53,4},{41,47,4},{56,16,162},{36,49,2},{36,49,2},{32,45,0},{62,33,162},{32,45,0},{55,32,200},{40,55,0},{42,50,2},{35,50,1},{55,32,200},{46,48,200},{35,50,1},{0,47,208},{46,48,200},{0,47,208},{38,0,200},
{38,0,200},{38,0,200},{38,0,200},{36,49,5},{36,49,5},{36,49,5},{36,43,4},{31,45,1},{31,45,1},{41,63,482},{40,58,216},{41,52,314},{40,51,213},{39,63,760},{37,56,215},{37,52,9},{37,49,306},{28,57,723},{31,49,215},{43,62,206},{42,57,4},{43,52,21},{42,51,29},{63,16,723},{36,56,201},{37,52,5},{29,49,203},{62,40,723},{29,49,203},{40,61,200},{40,61,200},{40,61,200},
{40,50,201},{38,58,166},{38,51,6},{38,51,6},{37,47,20},{30,52,163},{33,47,1},{43,55,4},{43,55,4},{43,55,4},{43,49,4},{59,16,162},{38,51,2},{38,51,2},{34,47,0},{62,36,162},{34,47,0},{58,32,200},{42,57,0},{44,52,2},{37,52,1},{58,32,200},{52,48,200},{37,52,1},{0,49,202},{52,48,200},{0,49,202},{40,0,200},{40,0,200},{40,0,200},{40,0,200},{38,51,5},
{38,51,5},{38,51,5},{38,45,4},{33,47,1},{33,47,1},{43,63,530},{42,60,216},{43,54,314},{42,53,213},{41,63,799},{39,58,215},{39,54,9},{39,51,306},{30,59,723},{33,51,210},{45,63,212},{44,59,4},{45,54,21},{44,53,29},{63,22,723},{38,58,201},{39,54,5},{31,51,203},{62,43,723},{31,51,203},{42,63,200},{42,63,200},{42,63,200},{42,52,201},{40,60,166},{40,53,6},{40,53,6},
{39,48,17},{32,54,163},{35,49,2},{45,57,4},{45,57,4},{45,57,4},{45,51,4},{62,16,162},{40,53,2},{40,53,2},{35,49,1},{62,39,162},{35,49,1},{61,32,200},{44,59,0},{46,54,2},{39,54,1},{61,32,200},{58,48,200},{39,54,1},{0,51,202},{58,48,200},{0,51,202},{42,0,200},{42,0,200},{42,0,200},{42,0,200},{40,53,5},{40,53,5},{40,53,5},{40,47,4},{35,49,1},
{35,49,1},{46,63,626},{44,63,222},{45,57,315},{44,56,211},{44,63,869},{41,60,213},{42,56,2},{41,53,298},{32,61,723},{36,53,217},{48,63,244},{47,60,5},{47,56,26},{46,55,34},{61,32,723},{40,60,202},{42,56,1},{34,53,208},{58,48,723},{34,53,208},{44,63,218},{44,63,218},{44,63,218},{44,55,203},{42,63,163},{42,56,2},{42,56,2},{41,51,25},{35,56,163},{37,51,1},{47,60,1},
{47,60,1},{47,60,1},{47,53,2},{63,21,162},{42,56,1},{42,56,1},{38,51,0},{63,42,162},{38,51,0},{63,35,200},{46,61,2},{49,56,1},{41,56,1},{63,35,200},{63,49,200},{41,56,1},{0,53,208},{63,49,200},{0,53,208},{44,0,202},{44,0,202},{44,0,202},{44,0,202},{42,56,1},{42,56,1},{42,56,1},{42,49,1},{37,51,1},{37,51,1},{48,63,728},{47,63,238},{47,59,315},
{46,58,211},{46,63,937},{43,62,213},{44,58,2},{43,55,298},{34,63,723},{38,55,217},{50,63,286},{48,63,4},{49,58,20},{48,57,36},{63,34,723},{42,62,202},{44,58,1},{36,55,208},{62,49,723},{36,55,208},{47,63,234},{47,63,234},{47,63,234},{46,57,203},{44,63,181},{44,58,2},{44,58,2},{43,53,25},{37,58,163},{39,53,1},{49,61,4},{49,61,4},{49,61,4},{49,55,4},{63,27,162},
{44,58,1},{44,58,1},{40,53,0},{63,45,162},{40,53,0},{63,41,200},{48,63,0},{51,58,1},{43,58,1},{63,41,200},{63,52,200},{43,58,1},{0,55,208},{63,52,200},{0,55,208},{46,0,202},{46,0,202},{46,0,202},{46,0,202},{44,58,1},{44,58,1},{44,58,1},{44,51,1},{39,53,1},{39,53,1},{50,63,866},{49,63,317},{49,61,312},{48,60,216},{48,63,1048},{46,63,219},{46,60,2},
{45,57,298},{38,63,748},{40,57,217},{53,63,350},{51,63,20},{51,60,20},{50,59,36},{63,40,723},{46,63,218},{46,60,1},{38,57,208},{62,52,723},{38,57,208},{48,63,264},{48,63,264},{48,63,264},{48,59,201},{47,63,205},{46,60,2},{46,60,2},{45,55,25},{39,60,163},{41,55,1},{51,63,4},{51,63,4},{51,63,4},{51,57,4},{63,33,162},{46,60,1},{46,60,1},{42,55,0},{47,56,162},
{42,55,0},{63,47,200},{52,63,13},{53,60,1},{45,60,1},{63,47,200},{63,55,200},{45,60,1},{0,57,208},{63,55,200},{0,57,208},{48,0,200},{48,0,200},{48,0,200},{48,0,200},{46,60,1},{46,60,1},{46,60,1},{46,53,1},{41,55,1},{41,55,1},{53,63,1026},{51,63,440},{51,63,312},{50,62,216},{51,63,1144},{48,63,280},{48,62,5},{47,59,298},{43,63,827},{42,59,217},{55,63,428},
{54,63,100},{53,62,20},{52,61,36},{63,46,723},{49,63,266},{48,62,1},{40,59,208},{62,55,723},{40,59,208},{51,63,296},{51,63,296},{51,63,296},{50,61,201},{49,63,248},{48,62,5},{48,62,5},{47,57,25},{41,62,163},{43,57,1},{53,63,13},{53,63,13},{53,63,13},{53,59,4},{63,39,162},{48,62,1},{48,62,1},{44,57,0},{47,59,162},{44,57,0},{63,53,200},{55,63,53},{55,62,1},
{47,62,1},{63,53,200},{63,58,200},{47,62,1},{0,59,208},{63,58,200},{0,59,208},{50,0,200},{50,0,200},{50,0,200},{50,0,200},{48,62,4},{48,62,4},{48,62,4},{48,55,4},{43,57,1},{43,57,1},{54,63,955},{54,63,523},{53,63,362},{52,63,202},{54,63,1027},{51,63,283},{50,63,14},{49,60,198},{47,63,735},{44,61,118},{57,63,338},{56,63,141},{56,63,41},{55,63,17},{63,51,546},
{53,63,233},{51,63,2},{43,61,113},{63,57,546},{43,61,113},{53,63,362},{53,63,362},{53,63,362},{52,63,202},{51,63,315},{50,63,14},{50,63,14},{49,59,19},{44,63,171},{46,59,3},{56,63,41},{56,63,41},{56,63,41},{55,61,2},{61,49,162},{51,63,2},{51,63,2},{47,59,1},{63,54,162},{47,59,1},{63,57,113},{58,63,50},{57,63,1},{52,63,0},{63,57,113},{63,60,113},{52,63,0},
{0,61,113},{63,60,113},{0,61,113},{52,0,202},{52,0,202},{52,0,202},{52,0,202},{50,63,5},{50,63,5},{50,63,5},{50,57,2},{45,60,0},{45,60,0},{57,63,779},{56,63,542},{56,63,442},{54,63,227},{56,63,830},{54,63,251},{53,63,78},{51,62,70},{51,63,587},{47,62,25},{59,63,218},{58,63,123},{58,63,74},{57,63,2},{63,55,333},{56,63,145},{55,63,25},{47,62,25},{63,59,333},
{47,62,25},{56,63,442},{56,63,442},{56,63,442},{54,63,227},{54,63,371},{53,63,78},{53,63,78},{51,61,19},{48,63,219},{47,61,6},{58,63,74},{58,63,74},{58,63,74},{57,63,2},{63,51,162},{55,63,25},{55,63,25},{48,61,2},{63,57,162},{48,61,2},{63,60,25},{61,63,10},{60,63,1},{58,63,0},{63,60,25},{62,62,25},{58,63,0},{0,62,25},{62,62,25},{0,62,25},{54,0,202},
{54,0,202},{54,0,202},{54,0,202},{52,63,26},{52,63,26},{52,63,26},{52,59,2},{47,62,0},{47,62,0},{59,63,684},{57,63,538},{57,63,474},{57,63,282},{57,63,682},{56,63,285},{55,63,171},{53,63,18},{54,63,482},{49,63,5},{60,63,153},{60,63,105},{60,63,89},{59,63,37},{63,59,193},{58,63,107},{58,63,58},{50,63,1},{63,61,193},{50,63,1},{57,63,474},{57,63,474},{57,63,474},
{57,63,282},{57,63,426},{55,63,171},{55,63,171},{53,63,18},{52,63,278},{49,63,5},{60,63,89},{60,63,89},{60,63,89},{59,63,37},{63,57,145},{58,63,58},{58,63,58},{50,63,1},{63,60,145},{50,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{56,0,202},{56,0,202},{56,0,202},{56,0,202},{54,63,50},
{54,63,50},{54,63,50},{54,61,2},{49,63,5},{49,63,5},{60,63,426},{59,63,375},{59,63,339},{58,63,251},{59,63,415},{57,63,202},{57,63,138},{56,63,2},{55,63,295},{53,63,29},{62,63,43},{62,63,38},{62,63,34},{61,63,10},{63,61,54},{61,63,27},{60,63,17},{56,63,1},{63,62,54},{56,63,1},{59,63,339},{59,63,339},{59,63,339},{58,63,251},{59,63,294},{57,63,138},{57,63,138},
{56,63,2},{55,63,174},{53,63,29},{62,63,34},{62,63,34},{62,63,34},{61,63,10},{63,60,41},{60,63,17},{60,63,17},{56,63,1},{62,62,41},{56,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{58,0,202},{58,0,202},{58,0,202},{58,0,202},{57,63,74},{57,63,74},{57,63,74},{56,63,2},{53,63,29},
{53,63,29},{0,20,421},{0,14,50},{0,10,4},{0,9,157},{0,14,925},{0,9,589},{0,8,264},{0,6,701},{0,6,1005},{0,5,738},{0,20,421},{0,14,50},{0,10,4},{0,9,157},{7,0,925},{0,9,589},{0,8,264},{0,6,701},{14,0,925},{0,6,701},{0,10,0},{0,10,0},{0,10,0},{0,5,0},{0,5,85},{0,4,34},{0,4,34},{0,2,50},{0,2,93},{0,2,54},{0,10,0},
{0,10,0},{0,10,0},{0,5,0},{2,1,85},{0,4,34},{0,4,34},{0,2,50},{5,0,85},{0,2,50},{10,1,421},{0,14,50},{0,10,4},{0,9,157},{10,1,421},{20,0,421},{0,9,157},{0,7,421},{20,0,421},{0,7,421},{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},{0,26,421},{0,18,13},{0,13,20},
{0,11,100},{0,18,1261},{0,11,701},{0,10,294},{0,7,857},{0,8,1382},{0,7,938},{0,26,421},{0,18,13},{0,13,20},{0,11,100},{9,0,1261},{0,11,701},{0,10,294},{0,7,857},{18,0,1261},{0,7,857},{0,16,0},{0,16,0},{0,16,0},{0,8,0},{0,8,221},{0,6,89},{0,6,89},{0,4,125},{0,4,246},{0,4,150},{0,16,0},{0,16,0},{0,16,0},{0,8,0},{4,0,221},
{0,6,89},{0,6,89},{0,4,125},{8,0,221},{0,4,125},{13,1,421},{0,18,13},{2,12,4},{0,11,100},{13,1,421},{26,0,421},{0,11,100},{0,9,421},{26,0,421},{0,9,421},{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},{0,32,430},{0,22,10},{1,15,70},{0,13,70},{0,22,1517},{0,14,730},{0,13,257},
{0,9,974},{0,11,1713},{0,8,1109},{1,30,422},{1,21,5},{2,15,45},{0,13,70},{11,1,1514},{0,14,730},{0,13,257},{0,9,974},{15,4,1514},{0,9,974},{0,22,9},{0,22,9},{0,22,9},{0,11,9},{0,12,338},{0,9,106},{0,9,106},{0,5,181},{0,5,392},{0,5,217},{1,20,1},{1,20,1},{1,20,1},{1,10,2},{6,0,338},{0,9,106},{0,9,106},{0,5,181},{12,0,338},
{0,5,181},{16,0,421},{0,22,1},{4,14,4},{0,13,61},{16,0,421},{32,0,421},{0,13,61},{0,11,421},{32,0,421},{0,11,421},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,2},{0,1,2},{1,36,486},{1,24,69},{2,17,163},{1,16,115},{0,28,1517},{0,18,614},{0,15,126},{0,11,857},{0,14,1841},{0,11,1053},{3,32,422},
{3,23,5},{3,17,46},{2,15,70},{14,1,1514},{0,18,614},{0,15,126},{0,11,857},{15,7,1514},{0,11,857},{1,26,65},{1,26,65},{1,26,65},{1,13,66},{0,18,338},{0,13,45},{0,13,45},{0,8,125},{0,8,456},{0,7,211},{3,22,1},{3,22,1},{3,22,1},{3,12,2},{9,0,338},{0,13,45},{0,13,45},{0,8,125},{18,0,338},{0,8,125},{19,0,421},{2,24,1},{6,16,1},
{0,16,37},{19,0,421},{38,0,421},{0,16,37},{0,13,421},{38,0,421},{0,13,421},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,3,25},{0,3,25},{3,39,629},{3,27,213},{3,20,365},{2,18,237},{0,35,1514},{0,22,506},{0,18,24},{0,14,750},{0,16,2003},{0,13,1050},{5,35,421},{5,25,2},{6,19,45},{5,17,72},{17,1,1514},
{0,22,506},{0,18,24},{0,14,750},{35,0,1514},{0,14,750},{3,28,209},{3,28,209},{3,28,209},{2,16,208},{0,25,338},{0,17,9},{0,17,9},{0,10,72},{0,11,566},{0,10,241},{5,24,1},{5,24,1},{5,24,1},{5,15,0},{12,1,338},{0,17,9},{0,17,9},{0,10,72},{25,0,338},{0,10,72},{22,1,421},{4,26,1},{8,18,5},{0,18,8},{22,1,421},{45,0,421},{0,18,8},
{0,15,421},{45,0,421},{0,15,421},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{0,15,0},{0,15,0},{0,15,0},{0,8,1},{0,6,80},{0,6,80},{4,43,821},{4,30,418},{5,22,621},{3,20,420},{0,41,1514},{0,25,450},{0,20,5},{0,16,670},{0,19,2187},{0,15,1109},{7,37,421},{7,27,2},{8,21,45},{7,19,72},{20,1,1514},{0,25,450},{0,20,5},{0,16,670},{41,0,1514},
{0,16,670},{4,32,400},{4,32,400},{4,32,400},{4,18,400},{0,31,338},{0,20,1},{0,20,1},{0,13,40},{0,14,694},{0,11,297},{7,26,1},{7,26,1},{7,26,1},{7,17,1},{15,1,338},{0,20,1},{0,20,1},{0,13,40},{31,0,338},{0,13,40},{25,1,421},{6,28,1},{10,20,5},{0,20,4},{25,1,421},{51,0,421},{0,20,4},{0,17,421},{51,0,421},{0,17,421},{3,0,400},
{3,0,400},{3,0,400},{3,0,400},{0,21,0},{0,21,0},{0,21,0},{0,11,1},{0,8,149},{0,8,149},{5,47,846},{6,32,451},{6,23,662},{5,22,445},{2,43,1515},{1,28,446},{2,22,6},{0,18,638},{0,22,2046},{0,18,878},{9,39,421},{9,29,2},{10,23,45},{9,21,72},{23,1,1514},{0,28,426},{2,22,5},{0,18,589},{47,0,1514},{0,18,589},{5,36,425},{5,36,425},{5,36,425},
{5,21,426},{2,32,341},{2,22,2},{2,22,2},{1,15,38},{0,16,606},{0,14,158},{9,28,1},{9,28,1},{9,28,1},{9,19,1},{15,7,338},{2,22,1},{2,22,1},{0,15,20},{31,3,338},{0,15,20},{28,1,421},{8,30,1},{12,22,5},{2,22,4},{28,1,421},{57,0,421},{2,22,4},{0,19,421},{57,0,421},{0,19,421},{5,0,425},{5,0,425},{5,0,425},{5,0,425},{2,23,1},
{2,23,1},{2,23,1},{2,13,2},{0,12,97},{0,12,97},{7,49,846},{8,33,450},{8,25,662},{7,24,445},{4,45,1515},{3,30,446},{4,24,6},{2,20,638},{0,25,1886},{0,19,682},{11,41,421},{11,31,2},{12,25,45},{11,23,72},{26,1,1514},{1,31,421},{4,24,5},{0,20,545},{53,0,1514},{0,20,545},{7,38,425},{7,38,425},{7,38,425},{7,23,426},{4,34,341},{4,24,2},{4,24,2},
{4,16,42},{0,20,500},{0,16,62},{11,30,1},{11,30,1},{11,30,1},{11,21,1},{15,13,338},{4,24,1},{4,24,1},{0,17,5},{31,6,338},{0,17,5},{31,1,421},{10,32,1},{14,24,5},{4,24,4},{31,1,421},{63,0,421},{4,24,4},{0,21,421},{63,0,421},{0,21,421},{7,0,425},{7,0,425},{7,0,425},{7,0,425},{4,25,1},{4,25,1},{4,25,1},{4,15,2},{0,16,37},
{0,16,37},{10,49,846},{10,36,445},{11,28,650},{10,26,450},{6,47,1517},{5,32,446},{6,27,3},{4,22,646},{0,29,1751},{0,22,522},{13,44,422},{13,34,3},{14,27,46},{13,26,74},{30,0,1514},{3,33,422},{6,27,3},{0,22,497},{46,7,1514},{0,22,497},{10,39,425},{10,39,425},{10,39,425},{10,24,426},{6,37,338},{6,27,2},{6,27,2},{6,19,40},{0,24,410},{0,19,9},{13,33,1},
{13,33,1},{13,33,1},{13,23,1},{24,1,338},{7,26,0},{7,26,0},{1,19,5},{49,0,338},{1,19,5},{35,0,421},{12,34,1},{16,27,1},{5,27,1},{35,0,421},{63,3,421},{5,27,1},{0,23,421},{63,3,421},{0,23,421},{10,0,425},{10,0,425},{10,0,425},{10,0,425},{6,28,0},{6,28,0},{6,28,0},{6,17,1},{0,19,5},{0,19,5},{12,51,846},{12,38,445},{13,30,650},
{12,28,450},{8,49,1517},{7,34,446},{8,29,3},{6,24,646},{0,32,1647},{0,25,458},{15,46,422},{15,36,3},{16,29,42},{15,28,74},{32,1,1514},{5,35,422},{8,29,3},{0,25,457},{46,10,1514},{0,25,457},{12,41,425},{12,41,425},{12,41,425},{12,26,426},{8,39,338},{8,29,2},{8,29,2},{8,21,40},{0,27,362},{1,22,5},{15,35,1},{15,35,1},{15,35,1},{15,25,1},{27,1,338},
{9,28,0},{9,28,0},{3,21,5},{55,0,338},{3,21,5},{38,0,421},{14,36,1},{18,29,1},{7,29,1},{38,0,421},{63,6,421},{7,29,1},{0,25,421},{63,6,421},{0,25,421},{12,0,425},{12,0,425},{12,0,425},{12,0,425},{8,30,0},{8,30,0},{8,30,0},{8,19,1},{1,22,1},{1,22,1},{14,53,846},{14,40,445},{15,32,661},{14,30,450},{10,51,1517},{9,36,446},{10,31,3},
{8,26,646},{0,35,1575},{0,27,446},{17,47,421},{17,37,2},{18,31,42},{17,30,73},{35,1,1514},{7,37,422},{10,31,3},{0,27,430},{46,13,1514},{0,27,430},{14,43,425},{14,43,425},{14,43,425},{14,28,426},{10,41,338},{10,31,2},{10,31,2},{10,23,40},{0,31,341},{3,24,5},{17,36,1},{17,36,1},{17,36,1},{17,27,0},{30,1,338},{11,30,0},{11,30,0},{5,23,5},{61,0,338},
{5,23,5},{41,0,421},{16,38,1},{20,31,1},{9,31,1},{41,0,421},{63,9,421},{9,31,1},{0,27,421},{63,9,421},{0,27,421},{14,0,425},{14,0,425},{14,0,425},{14,0,425},{10,31,1},{10,31,1},{10,31,1},{10,21,1},{3,24,1},{3,24,1},{16,55,854},{16,42,451},{16,33,662},{15,32,446},{12,53,1517},{11,38,446},{12,32,9},{10,28,646},{0,39,1533},{2,29,446},{19,49,421},
{19,39,2},{20,33,45},{18,31,81},{38,1,1514},{9,39,422},{13,32,6},{0,29,422},{45,16,1514},{0,29,422},{15,47,433},{15,47,433},{15,47,433},{15,31,433},{12,43,338},{12,32,5},{12,32,5},{12,25,40},{1,33,339},{5,26,5},{19,38,1},{19,38,1},{19,38,1},{19,29,0},{33,1,338},{13,32,2},{13,32,2},{7,25,5},{63,2,338},{7,25,5},{44,0,421},{18,40,1},{22,32,5},
{12,32,5},{44,0,421},{63,12,421},{12,32,5},{0,29,421},{63,12,421},{0,29,421},{15,0,433},{15,0,433},{15,0,433},{15,0,433},{12,33,1},{12,33,1},{12,33,1},{12,23,1},{5,26,1},{5,26,1},{18,58,846},{18,44,445},{19,36,650},{18,34,450},{14,56,1515},{14,40,447},{14,35,7},{13,31,646},{0,42,1515},{5,31,445},{21,52,422},{21,42,2},{22,35,46},{21,34,74},{42,0,1514},
{12,41,422},{14,35,6},{2,31,425},{62,11,1514},{2,31,425},{18,47,425},{18,47,425},{18,47,425},{18,32,426},{14,46,339},{14,35,6},{14,35,6},{14,27,35},{4,35,341},{8,28,5},{21,41,1},{21,41,1},{21,41,1},{21,31,2},{31,12,338},{15,34,0},{15,34,0},{8,28,1},{62,6,338},{8,28,1},{47,0,421},{21,42,1},{24,35,1},{13,35,1},{47,0,421},{62,16,421},{13,35,1},
{0,31,425},{62,16,421},{0,31,425},{18,0,425},{18,0,425},{18,0,425},{18,0,425},{14,36,1},{14,36,1},{14,36,1},{14,25,1},{7,29,1},{7,29,1},{20,60,846},{20,46,445},{21,38,650},{20,36,450},{16,58,1514},{16,41,449},{16,37,3},{15,32,630},{2,44,1515},{7,33,441},{23,54,422},{23,44,2},{24,37,46},{23,36,74},{45,0,1514},{14,43,422},{16,37,3},{4,33,421},{62,14,1514},
{4,33,421},{20,49,425},{20,49,425},{20,49,425},{20,34,426},{16,47,340},{16,37,2},{16,37,2},{16,29,34},{6,37,341},{10,30,5},{23,43,1},{23,43,1},{23,43,1},{23,33,1},{31,18,338},{17,36,0},{17,36,0},{10,30,1},{62,9,338},{10,30,1},{50,0,421},{23,44,1},{26,37,1},{15,37,1},{50,0,421},{62,19,421},{15,37,1},{0,33,421},{62,19,421},{0,33,421},{20,0,425},
{20,0,425},{20,0,425},{20,0,425},{16,38,0},{16,38,0},{16,38,0},{16,27,0},{9,31,1},{9,31,1},{22,62,846},{22,48,445},{23,40,650},{22,38,450},{18,60,1514},{18,43,449},{18,39,3},{16,34,646},{4,46,1515},{9,35,441},{25,56,422},{25,46,2},{26,39,46},{25,38,74},{47,2,1514},{16,45,425},{18,39,3},{6,35,421},{62,17,1514},{6,35,421},{22,51,425},{22,51,425},{22,51,425},
{22,36,426},{18,49,338},{18,39,2},{18,39,2},{18,31,34},{8,39,341},{11,32,6},{25,45,1},{25,45,1},{25,45,1},{25,35,1},{34,17,338},{19,38,0},{19,38,0},{12,32,4},{62,12,338},{12,32,4},{53,0,421},{25,46,1},{28,39,1},{17,39,1},{53,0,421},{62,22,421},{17,39,1},{0,35,421},{62,22,421},{0,35,421},{22,0,425},{22,0,425},{22,0,425},{22,0,425},{18,40,0},
{18,40,0},{18,40,0},{18,29,0},{11,32,2},{11,32,2},{24,63,850},{24,50,445},{25,42,650},{24,40,450},{20,62,1514},{20,45,449},{20,41,3},{18,36,646},{6,48,1517},{11,37,441},{27,58,422},{27,48,3},{28,41,46},{27,40,74},{47,8,1514},{18,47,425},{20,41,3},{8,37,421},{62,20,1514},{8,37,421},{24,53,425},{24,53,425},{24,53,425},{24,38,426},{20,51,338},{20,41,2},{20,41,2},
{20,33,40},{10,41,341},{13,34,6},{27,47,1},{27,47,1},{27,47,1},{27,37,1},{37,17,338},{21,40,0},{21,40,0},{14,34,4},{62,15,338},{14,34,4},{56,0,421},{26,48,1},{30,41,1},{19,41,1},{56,0,421},{62,25,421},{19,41,1},{0,37,421},{62,25,421},{0,37,421},{24,0,425},{24,0,425},{24,0,425},{24,0,425},{20,42,0},{20,42,0},{20,42,0},{20,31,0},{13,34,2},
{13,34,2},{26,63,882},{26,52,447},{27,44,646},{26,42,446},{23,62,1526},{22,48,447},{22,43,5},{21,39,646},{8,50,1515},{13,39,443},{30,58,425},{29,50,4},{30,44,45},{29,42,69},{54,0,1514},{20,49,422},{22,43,4},{10,39,426},{47,31,1514},{10,39,426},{26,56,421},{26,56,421},{26,56,421},{26,41,421},{22,54,339},{22,43,5},{22,43,5},{22,35,35},{12,43,338},{16,36,5},{30,48,4},
{30,48,4},{30,48,4},{30,39,4},{49,0,338},{23,42,2},{23,42,2},{16,36,1},{62,18,338},{16,36,1},{59,0,421},{29,50,0},{32,43,1},{22,43,0},{59,0,421},{62,28,421},{22,43,0},{0,39,425},{62,28,421},{0,39,425},{26,0,421},{26,0,421},{26,0,421},{26,0,421},{22,44,2},{22,44,2},{22,44,2},{22,33,1},{15,37,1},{15,37,1},{29,63,922},{28,54,447},{29,46,646},
{28,44,446},{25,63,1535},{24,50,447},{24,45,5},{23,41,646},{10,52,1515},{15,41,443},{31,62,425},{31,52,4},{32,45,45},{31,44,69},{57,0,1514},{22,51,422},{24,45,4},{12,41,426},{50,32,1514},{12,41,426},{28,58,421},{28,58,421},{28,58,421},{28,43,421},{24,56,339},{24,45,5},{24,45,5},{24,37,35},{14,45,338},{18,38,5},{31,52,4},{31,52,4},{31,52,4},{31,41,5},{52,0,338},
{25,44,2},{25,44,2},{18,38,1},{62,21,338},{18,38,1},{62,0,421},{31,52,0},{34,45,1},{24,45,0},{62,0,421},{62,31,421},{24,45,0},{0,41,425},{62,31,421},{0,41,425},{28,0,421},{28,0,421},{28,0,421},{28,0,421},{24,46,2},{24,46,2},{24,46,2},{24,35,1},{17,39,1},{17,39,1},{31,63,994},{30,56,447},{31,48,655},{30,46,446},{28,63,1575},{26,52,447},{26,47,5},
{25,43,646},{12,54,1515},{17,43,445},{33,63,426},{33,54,2},{34,47,45},{33,46,66},{60,0,1514},{24,53,422},{26,47,4},{14,43,426},{56,32,1514},{14,43,426},{30,60,421},{30,60,421},{30,60,421},{30,45,421},{26,58,339},{26,47,5},{26,47,5},{26,39,35},{16,47,338},{20,40,5},{33,53,1},{33,53,1},{33,53,1},{33,43,2},{55,0,338},{27,46,2},{27,46,2},{20,40,1},{62,24,338},
{20,40,1},{63,4,421},{33,54,1},{36,47,1},{26,47,0},{63,4,421},{62,34,421},{26,47,0},{0,43,425},{62,34,421},{0,43,425},{30,0,421},{30,0,421},{30,0,421},{30,0,421},{26,48,1},{26,48,1},{26,48,1},{26,37,1},{19,41,1},{19,41,1},{33,63,1082},{32,58,445},{33,50,650},{32,48,450},{30,63,1638},{28,54,447},{28,49,7},{27,45,646},{14,56,1515},{19,45,445},{36,63,434},
{35,56,2},{36,49,46},{35,48,74},{63,0,1514},{26,55,422},{28,49,6},{16,45,425},{62,32,1514},{16,45,425},{32,61,425},{32,61,425},{32,61,425},{32,47,426},{28,60,339},{28,49,6},{28,49,6},{28,41,35},{18,49,341},{22,42,5},{35,55,1},{35,55,1},{35,55,1},{35,45,2},{58,0,338},{29,48,0},{29,48,0},{22,42,1},{62,27,338},{22,42,1},{63,10,421},{35,56,1},{38,49,1},
{27,49,1},{63,10,421},{62,37,421},{27,49,1},{0,45,425},{62,37,421},{0,45,425},{32,0,425},{32,0,425},{32,0,425},{32,0,425},{28,50,1},{28,50,1},{28,50,1},{28,39,1},{21,43,1},{21,43,1},{36,63,1206},{34,61,446},{35,52,646},{34,50,446},{33,63,1710},{30,56,445},{31,51,5},{29,47,638},{17,58,1515},{22,47,450},{39,63,469},{37,58,5},{38,52,45},{37,50,69},{63,7,1514},
{27,58,422},{31,51,1},{19,47,433},{63,35,1514},{19,47,433},{34,63,422},{34,63,422},{34,63,422},{34,49,421},{31,61,342},{31,51,5},{31,51,5},{30,43,36},{20,51,338},{24,44,2},{38,56,4},{38,56,4},{38,56,4},{38,47,4},{53,16,338},{31,51,1},{31,51,1},{25,44,0},{63,30,338},{25,44,0},{63,17,421},{37,58,1},{40,51,1},{30,51,0},{63,17,421},{63,40,421},{30,51,0},
{0,47,433},{63,40,421},{0,47,433},{34,0,421},{34,0,421},{34,0,421},{34,0,421},{31,51,4},{31,51,4},{31,51,4},{31,41,4},{23,45,1},{23,45,1},{38,63,1350},{36,63,446},{37,54,646},{36,52,446},{36,63,1814},{32,58,447},{32,53,5},{31,48,638},{19,60,1515},{23,49,443},{41,63,517},{39,60,5},{40,54,45},{39,52,69},{63,13,1514},{29,60,422},{32,53,4},{20,49,426},{63,38,1514},
{20,49,426},{36,63,437},{36,63,437},{36,63,437},{36,51,421},{33,62,347},{32,53,5},{32,53,5},{32,45,33},{22,53,338},{26,46,2},{40,58,4},{40,58,4},{40,58,4},{40,49,4},{56,16,338},{33,52,2},{33,52,2},{27,46,0},{62,33,338},{27,46,0},{63,23,421},{39,60,1},{42,53,1},{32,53,0},{63,23,421},{63,43,421},{32,53,0},{0,49,425},{63,43,421},{0,49,425},{36,0,421},
{36,0,421},{36,0,421},{36,0,421},{32,54,2},{32,54,2},{32,54,2},{32,43,2},{25,47,1},{25,47,1},{40,63,1466},{38,63,474},{39,56,646},{38,54,446},{38,63,1931},{34,60,447},{34,55,5},{33,51,646},{21,62,1515},{25,51,443},{43,63,569},{41,62,5},{42,56,45},{41,54,69},{63,19,1514},{32,61,422},{34,55,4},{22,51,426},{63,41,1514},{22,51,426},{38,63,470},{38,63,470},{38,63,470},
{38,53,421},{35,63,355},{34,55,5},{34,55,5},{34,47,33},{24,55,338},{28,48,3},{42,60,4},{42,60,4},{42,60,4},{42,51,4},{59,16,338},{35,54,2},{35,54,2},{28,48,2},{62,36,338},{28,48,2},{63,29,421},{41,62,1},{44,55,1},{34,55,0},{63,29,421},{63,46,421},{34,55,0},{0,51,425},{63,46,421},{0,51,425},{38,0,421},{38,0,421},{38,0,421},{38,0,421},{34,56,2},
{34,56,2},{34,56,2},{34,45,2},{27,49,1},{27,49,1},{43,63,1634},{41,63,546},{41,58,646},{40,56,446},{40,63,2039},{36,62,447},{36,57,5},{35,53,646},{24,63,1521},{27,53,443},{46,63,633},{44,63,9},{44,58,45},{43,56,69},{63,25,1514},{34,63,422},{36,57,4},{24,53,426},{63,44,1514},{24,53,426},{40,63,502},{40,63,502},{40,63,502},{40,55,421},{37,63,379},{36,57,5},{36,57,5},
{36,49,35},{26,57,338},{30,50,3},{44,62,4},{44,62,4},{44,62,4},{44,53,4},{62,16,338},{37,56,2},{37,56,2},{30,50,2},{62,39,338},{30,50,2},{63,34,421},{44,63,5},{46,57,1},{36,57,0},{63,34,421},{62,49,421},{36,57,0},{0,53,425},{62,49,421},{0,53,425},{40,0,421},{40,0,421},{40,0,421},{40,0,421},{36,58,2},{36,58,2},{36,58,2},{36,47,2},{29,51,1},
{29,51,1},{45,63,1866},{43,63,689},{43,60,650},{42,59,447},{43,63,2201},{38,63,469},{39,59,6},{37,55,638},{29,63,1590},{30,55,450},{48,63,741},{46,63,69},{46,60,46},{45,58,70},{62,33,1514},{38,63,465},{39,59,2},{25,56,425},{61,48,1514},{25,56,425},{43,63,545},{43,63,545},{43,63,545},{42,57,422},{40,63,424},{39,59,5},{39,59,5},{38,51,36},{29,59,339},{32,52,2},{46,63,5},
{46,63,5},{46,63,5},{46,55,2},{63,21,338},{39,59,1},{39,59,1},{33,52,0},{63,42,338},{33,52,0},{63,41,421},{48,63,41},{49,59,2},{38,59,2},{63,41,421},{63,52,421},{38,59,2},{0,56,425},{63,52,421},{0,56,425},{42,0,421},{42,0,421},{42,0,421},{42,0,421},{39,59,4},{39,59,4},{39,59,4},{39,49,4},{31,53,1},{31,53,1},{48,63,2070},{46,63,889},{45,62,650},
{44,61,447},{46,63,2361},{41,63,573},{41,61,6},{39,57,638},{32,63,1710},{32,57,450},{51,63,837},{49,63,184},{48,62,49},{47,60,70},{63,37,1514},{43,63,545},{41,61,2},{27,58,425},{63,50,1514},{27,58,425},{45,63,614},{45,63,614},{45,63,614},{44,59,422},{43,63,488},{41,61,5},{41,61,5},{40,53,36},{31,61,339},{34,54,2},{48,63,20},{48,63,20},{48,63,20},{48,57,4},{63,27,338},
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{41,59,605},{37,63,1804},{34,59,417},{54,63,916},{51,63,308},{51,63,52},{49,62,56},{63,43,1459},{46,63,618},{43,63,1},{31,59,400},{63,53,1459},{31,59,400},{47,63,701},{47,63,701},{47,63,701},{46,61,422},{45,63,566},{43,63,5},{43,63,5},{42,55,36},{32,63,341},{36,56,2},{51,63,52},{51,63,52},{51,63,52},{50,59,4},{63,33,338},{43,63,1},{43,63,1},{37,56,0},{47,56,338},
{37,56,0},{63,53,392},{55,63,157},{53,63,1},{42,63,1},{63,53,392},{63,58,392},{42,63,1},{0,59,400},{63,58,392},{0,59,400},{46,0,421},{46,0,421},{46,0,421},{46,0,421},{43,63,4},{43,63,4},{43,63,4},{43,53,4},{35,57,1},{35,57,1},{51,63,1901},{50,63,1114},{49,63,785},{48,63,421},{51,63,2093},{46,63,574},{45,63,38},{44,60,356},{40,63,1476},{36,60,213},{55,63,684},
{54,63,260},{53,63,85},{51,63,20},{63,47,1064},{49,63,426},{47,63,8},{35,60,208},{63,55,1064},{35,60,208},{49,63,785},{49,63,785},{49,63,785},{48,63,421},{48,63,661},{45,63,38},{45,63,38},{44,57,36},{37,63,371},{38,58,2},{53,63,85},{53,63,85},{53,63,85},{52,61,4},{63,39,338},{47,63,8},{47,63,8},{39,58,0},{47,59,338},{39,58,0},{63,56,200},{57,63,80},{56,63,1},
{48,63,0},{63,56,200},{62,60,200},{48,63,0},{0,60,208},{62,60,200},{0,60,208},{48,0,421},{48,0,421},{48,0,421},{48,0,421},{45,63,13},{45,63,13},{45,63,13},{45,55,4},{37,59,1},{37,59,1},{54,63,1646},{52,63,1119},{51,63,886},{50,63,470},{53,63,1761},{48,63,526},{48,63,126},{46,61,146},{44,63,1218},{39,62,69},{57,63,450},{56,63,245},{56,63,145},{54,63,2},{63,51,722},
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{52,0,421},{52,0,421},{52,0,421},{50,63,72},{50,63,72},{50,63,72},{49,59,5},{42,63,1},{42,63,1},{57,63,1197},{56,63,994},{56,63,894},{54,63,565},{56,63,1210},{54,63,493},{53,63,332},{50,63,13},{51,63,861},{45,63,17},{60,63,209},{60,63,161},{60,63,145},{58,63,50},{63,58,294},{58,63,147},{57,63,89},{47,63,1},{62,61,294},{47,63,1},{56,63,894},{56,63,894},{56,63,894},
{54,63,565},{54,63,781},{53,63,332},{53,63,332},{50,63,13},{48,63,501},{45,63,17},{60,63,145},{60,63,145},{60,63,145},{58,63,50},{63,55,221},{57,63,89},{57,63,89},{47,63,1},{63,59,221},{47,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{54,0,421},{54,0,421},{54,0,421},{54,0,421},{52,63,117},
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{53,63,5},{51,63,365},{49,63,52},{61,63,61},{61,63,61},{61,63,61},{60,63,17},{63,58,85},{59,63,40},{59,63,40},{53,63,1},{62,61,85},{53,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{56,0,421},{56,0,421},{56,0,421},{56,0,421},{54,63,157},{54,63,157},{54,63,157},{53,63,5},{49,63,52},
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{0,14,0},{0,14,0},{0,7,0},{3,1,162},{0,5,61},{0,5,61},{0,3,100},{7,0,162},{0,3,100},{6,17,882},{0,21,116},{0,15,4},{0,13,320},{6,17,882},{29,0,882},{0,13,320},{0,10,884},{29,0,882},{0,10,884},{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},{0,35,882},{0,25,50},{0,17,10},
{0,15,260},{0,23,2355},{0,16,1355},{0,14,589},{0,10,1656},{0,11,2567},{0,10,1825},{0,35,882},{0,25,50},{0,17,10},{0,15,260},{3,17,2355},{0,16,1355},{0,14,589},{0,10,1656},{23,0,2355},{0,10,1656},{0,19,1},{0,19,1},{0,19,1},{0,10,0},{0,10,338},{0,8,125},{0,8,125},{0,4,200},{0,5,374},{0,4,225},{0,19,1},{0,19,1},{0,19,1},{0,10,0},{5,0,338},
{0,8,125},{0,8,125},{0,4,200},{10,0,338},{0,4,200},{17,1,882},{0,25,50},{1,17,2},{0,15,260},{17,1,882},{35,0,882},{0,15,260},{0,12,884},{35,0,882},{0,12,884},{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},{0,41,882},{0,28,10},{1,19,69},{0,17,193},{0,28,2899},{0,19,1539},{0,16,643},
{0,11,1965},{0,13,3209},{0,11,2161},{0,41,882},{0,28,10},{1,19,53},{0,17,193},{14,0,2899},{0,19,1539},{0,16,643},{0,11,1965},{28,0,2899},{0,11,1965},{0,25,1},{0,25,1},{0,25,1},{0,13,0},{0,13,578},{0,11,221},{0,11,221},{0,6,356},{0,6,644},{0,5,401},{0,25,1},{0,25,1},{0,25,1},{0,13,0},{6,1,578},{0,11,221},{0,11,221},{0,6,356},{13,0,578},
{0,6,356},{20,1,882},{0,28,10},{3,19,2},{0,17,193},{20,1,882},{41,0,882},{0,17,193},{0,14,884},{41,0,882},{0,14,884},{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},{1,45,902},{1,31,24},{1,21,142},{0,19,166},{0,33,3048},{0,22,1443},{0,18,481},{0,13,1908},{0,16,3492},{0,13,2197},{2,43,886},
{1,31,8},{3,21,73},{1,19,153},{16,1,3048},{0,22,1443},{0,18,481},{0,13,1908},{33,0,3048},{0,13,1908},{1,29,21},{1,29,21},{1,29,21},{1,15,21},{0,18,648},{0,14,169},{0,14,169},{0,8,325},{0,8,766},{0,7,421},{2,27,5},{2,27,5},{2,27,5},{2,15,4},{9,0,648},{0,14,169},{0,14,169},{0,8,325},{18,0,648},{0,8,325},{23,1,882},{0,31,2},{5,21,2},
{0,19,130},{23,1,882},{47,0,882},{0,19,130},{0,16,890},{47,0,882},{0,16,890},{1,0,20},{1,0,20},{1,0,20},{1,0,20},{0,5,0},{0,5,0},{0,5,0},{0,2,1},{0,2,5},{0,2,5},{2,49,997},{2,34,114},{3,24,290},{1,22,234},{0,39,3051},{0,25,1256},{0,21,258},{0,16,1764},{0,19,3685},{0,15,2195},{4,46,883},{3,33,10},{5,23,74},{3,21,154},{15,10,3048},
{0,25,1256},{0,21,258},{0,16,1764},{30,5,3048},{0,16,1764},{2,34,113},{2,34,113},{2,34,113},{2,18,113},{0,25,648},{0,17,89},{0,17,89},{0,10,242},{0,11,876},{0,10,411},{4,30,1},{4,30,1},{4,30,1},{4,17,1},{12,1,648},{0,17,89},{0,17,89},{0,10,242},{25,0,648},{0,10,242},{27,0,882},{3,33,1},{8,23,1},{0,22,80},{27,0,882},{46,4,882},{0,22,80},
{0,18,884},{46,4,882},{0,18,884},{2,0,113},{2,0,113},{2,0,113},{2,0,113},{0,11,1},{0,11,1},{0,11,1},{0,6,1},{0,5,40},{0,5,40},{3,53,1149},{3,36,274},{4,27,513},{3,24,362},{0,45,3051},{0,28,1128},{0,24,122},{0,18,1605},{0,22,3901},{0,16,2173},{6,47,885},{5,35,10},{7,25,74},{5,23,154},{15,16,3048},{0,28,1128},{0,24,122},{0,18,1605},{30,8,3048},
{0,18,1605},{3,38,265},{3,38,265},{3,38,265},{3,20,266},{0,31,648},{0,21,34},{0,21,34},{0,13,170},{0,14,1004},{0,11,457},{6,32,1},{6,32,1},{6,32,1},{6,19,1},{15,1,648},{0,21,34},{0,21,34},{0,13,170},{31,0,648},{0,13,170},{30,0,882},{5,35,1},{10,25,1},{0,24,41},{30,0,882},{46,7,882},{0,24,41},{0,20,884},{46,7,882},{0,20,884},{3,0,265},
{3,0,265},{3,0,265},{3,0,265},{0,17,0},{0,17,0},{0,17,0},{0,9,1},{0,8,104},{0,8,104},{4,57,1365},{4,39,498},{5,28,793},{4,26,561},{0,51,3048},{0,31,1032},{0,26,41},{0,20,1509},{0,24,4147},{0,19,2149},{8,49,885},{7,37,10},{9,27,74},{7,25,154},{17,17,3048},{0,31,1032},{0,26,41},{0,20,1509},{51,0,3048},{0,20,1509},{4,42,481},{4,42,481},{4,42,481},
{4,23,481},{0,36,650},{0,25,4},{0,25,4},{0,15,130},{0,16,1161},{0,14,481},{8,34,1},{8,34,1},{8,34,1},{8,21,1},{15,7,648},{0,25,4},{0,25,4},{0,15,130},{31,3,648},{0,15,130},{32,1,882},{7,37,1},{12,27,1},{0,26,25},{32,1,882},{46,10,882},{0,26,25},{0,22,884},{46,10,882},{0,22,884},{4,0,481},{4,0,481},{4,0,481},{4,0,481},{0,23,0},
{0,23,0},{0,23,0},{0,12,1},{0,9,193},{0,9,193},{5,61,1645},{5,42,795},{7,30,1177},{4,28,826},{0,57,3048},{0,35,954},{0,29,9},{0,22,1380},{0,27,4419},{0,21,2197},{10,51,885},{9,39,10},{11,29,74},{9,27,154},{20,17,3048},{0,35,954},{0,29,9},{0,22,1380},{57,0,3048},{0,22,1380},{5,46,761},{5,46,761},{5,46,761},{5,25,762},{0,42,650},{0,28,4},{0,28,4},
{0,17,85},{0,19,1345},{0,16,557},{10,36,1},{10,36,1},{10,36,1},{10,23,1},{15,13,648},{1,27,1},{1,27,1},{0,17,85},{31,6,648},{0,17,85},{35,1,882},{9,39,1},{14,29,1},{0,29,9},{35,1,882},{46,13,882},{0,29,9},{0,24,884},{46,13,882},{0,24,884},{5,0,761},{5,0,761},{5,0,761},{5,0,761},{0,29,0},{0,29,0},{0,29,0},{0,15,1},{0,11,296},
{0,11,296},{7,63,1774},{7,44,924},{8,33,1320},{6,30,941},{2,60,3052},{1,38,924},{2,31,10},{0,24,1302},{0,31,4300},{0,24,1942},{12,54,882},{12,40,8},{13,32,68},{11,29,161},{32,0,3048},{0,39,898},{2,31,6},{0,24,1266},{62,1,3048},{0,24,1266},{7,48,885},{7,48,885},{7,48,885},{7,28,884},{2,45,652},{2,31,9},{2,31,9},{1,20,62},{0,22,1275},{0,19,419},{12,39,0},
{12,39,0},{12,39,0},{12,25,1},{24,1,648},{3,30,0},{3,30,0},{0,20,45},{49,0,648},{0,20,45},{39,0,882},{11,41,1},{16,31,2},{1,31,1},{39,0,882},{62,8,882},{1,31,1},{0,26,882},{62,8,882},{0,26,882},{7,0,884},{7,0,884},{7,0,884},{7,0,884},{2,32,4},{2,32,4},{2,32,4},{2,17,4},{0,16,250},{0,16,250},{9,63,1798},{9,46,924},{10,35,1320},
{9,32,936},{4,62,3052},{3,40,924},{4,33,9},{2,26,1302},{0,33,4023},{0,26,1647},{14,56,882},{14,42,8},{15,34,68},{13,31,161},{35,0,3048},{0,42,882},{4,33,5},{0,27,1170},{62,4,3048},{0,27,1170},{9,50,885},{9,50,885},{9,50,885},{9,30,884},{4,47,652},{4,32,8},{4,32,8},{3,22,62},{0,25,1107},{0,22,243},{14,41,0},{14,41,0},{14,41,0},{14,27,1},{27,1,648},
{5,32,1},{5,32,1},{0,22,18},{55,0,648},{0,22,18},{42,0,882},{13,43,1},{18,33,1},{2,33,0},{42,0,882},{62,11,882},{2,33,0},{0,28,882},{62,11,882},{0,28,882},{9,0,884},{9,0,884},{9,0,884},{9,0,884},{4,34,4},{4,34,4},{4,34,4},{4,19,4},{0,19,146},{0,19,146},{12,63,1846},{11,48,924},{12,37,1320},{11,34,936},{6,63,3055},{5,42,924},{6,35,9},
{4,28,1302},{0,36,3799},{0,28,1356},{16,58,883},{16,44,9},{17,35,74},{15,33,161},{38,0,3048},{2,44,882},{6,35,5},{0,29,1110},{62,7,3048},{0,29,1110},{11,52,885},{11,52,885},{11,52,885},{11,32,885},{6,49,652},{6,34,8},{6,34,8},{5,24,62},{0,29,969},{0,24,109},{16,42,1},{16,42,1},{16,42,1},{16,29,2},{30,1,648},{7,34,1},{7,34,1},{0,24,9},{61,0,648},
{0,24,9},{45,0,882},{15,45,1},{20,35,1},{4,35,0},{45,0,882},{62,14,882},{4,35,0},{0,30,882},{62,14,882},{0,30,882},{11,0,884},{11,0,884},{11,0,884},{11,0,884},{6,36,4},{6,36,4},{6,36,4},{6,21,4},{0,22,74},{0,22,74},{14,63,1912},{13,50,924},{14,39,1320},{13,36,936},{9,63,3087},{7,44,924},{8,37,9},{6,30,1302},{0,39,3607},{0,31,1156},{18,60,883},
{18,46,9},{19,37,74},{17,35,154},{41,0,3048},{4,46,882},{8,37,5},{0,31,1035},{62,10,3048},{0,31,1035},{13,54,885},{13,54,885},{13,54,885},{13,34,885},{8,51,652},{8,36,8},{8,36,8},{7,26,62},{0,33,846},{0,27,37},{18,44,1},{18,44,1},{18,44,1},{18,31,2},{33,1,648},{9,36,1},{9,36,1},{0,27,1},{63,2,648},{0,27,1},{47,2,882},{16,48,1},{22,37,1},
{6,37,0},{47,2,882},{62,17,882},{6,37,0},{0,32,884},{62,17,882},{0,32,884},{13,0,884},{13,0,884},{13,0,884},{13,0,884},{8,38,4},{8,38,4},{8,38,4},{8,23,4},{0,26,29},{0,26,29},{16,63,2014},{15,52,932},{16,40,1341},{15,38,932},{12,63,3141},{9,46,924},{10,39,7},{9,32,1308},{0,43,3436},{0,33,1003},{20,62,884},{20,48,8},{21,40,74},{19,37,161},{36,16,3048},
{6,48,882},{10,39,6},{0,33,978},{63,13,3048},{0,33,978},{15,57,882},{15,57,882},{15,57,882},{15,36,882},{10,54,649},{10,39,6},{10,39,6},{9,28,61},{0,36,737},{1,29,8},{20,47,0},{20,47,0},{20,47,0},{20,33,1},{31,12,648},{11,38,1},{11,38,1},{2,29,1},{62,6,648},{2,29,1},{51,0,882},{19,49,1},{24,39,1},{9,39,1},{51,0,882},{47,28,882},{9,39,1},
{0,34,882},{47,28,882},{0,34,882},{15,0,882},{15,0,882},{15,0,882},{15,0,882},{10,40,2},{10,40,2},{10,40,2},{10,25,2},{0,30,2},{0,30,2},{19,63,2126},{17,54,924},{18,42,1341},{16,40,941},{14,63,3204},{11,48,924},{12,41,7},{11,34,1308},{0,46,3300},{0,35,939},{22,63,890},{22,50,8},{23,42,74},{21,39,161},{39,16,3048},{8,50,882},{12,41,6},{0,35,939},{62,16,3048},
{0,35,939},{17,59,884},{17,59,884},{17,59,884},{17,38,884},{12,56,649},{12,41,6},{12,41,6},{11,30,61},{0,39,681},{3,31,8},{22,49,0},{22,49,0},{22,49,0},{22,35,1},{31,18,648},{13,40,1},{13,40,1},{4,31,1},{62,9,648},{4,31,1},{54,0,882},{21,51,1},{26,41,1},{11,41,1},{54,0,882},{47,31,882},{11,41,1},{0,36,882},{47,31,882},{0,36,882},{17,0,884},
{17,0,884},{17,0,884},{17,0,884},{12,42,2},{12,42,2},{12,42,2},{12,27,2},{2,32,1},{2,32,1},{20,63,2264},{19,56,924},{20,44,1341},{18,42,941},{17,63,3292},{13,50,924},{14,43,7},{13,36,1308},{0,50,3192},{0,38,923},{25,63,906},{24,52,8},{25,44,74},{23,41,161},{50,0,3048},{10,52,882},{14,43,6},{0,38,907},{62,19,3048},{0,38,907},{19,61,884},{19,61,884},{19,61,884},
{19,40,884},{14,58,649},{14,43,6},{14,43,6},{13,32,67},{0,42,657},{4,33,10},{24,51,0},{24,51,0},{24,51,0},{24,37,1},{34,17,648},{15,42,1},{15,42,1},{6,33,1},{62,12,648},{6,33,1},{57,0,882},{23,53,1},{28,43,1},{13,43,1},{57,0,882},{50,32,882},{13,43,1},{0,38,882},{50,32,882},{0,38,882},{19,0,884},{19,0,884},{19,0,884},{19,0,884},{14,44,2},
{14,44,2},{14,44,2},{14,29,2},{4,34,1},{4,34,1},{23,63,2376},{21,58,924},{22,46,1341},{20,44,941},{19,63,3391},{15,52,924},{16,45,10},{15,38,1308},{0,53,3112},{2,40,923},{27,63,948},{26,54,8},{27,46,74},{25,43,161},{53,0,3048},{12,54,882},{16,45,6},{0,40,891},{62,22,3048},{0,40,891},{21,63,884},{21,63,884},{21,63,884},{21,42,884},{16,59,652},{16,45,9},{16,45,9},
{15,34,67},{1,45,650},{6,35,10},{26,53,0},{26,53,0},{26,53,0},{26,39,1},{37,17,648},{17,44,0},{17,44,0},{8,35,1},{62,15,648},{8,35,1},{60,0,882},{25,55,1},{30,45,1},{15,45,1},{60,0,882},{56,32,882},{15,45,1},{0,40,882},{56,32,882},{0,40,882},{21,0,884},{21,0,884},{21,0,884},{21,0,884},{16,46,4},{16,46,4},{16,46,4},{16,31,4},{6,36,1},
{6,36,1},{26,63,2564},{23,61,927},{24,49,1324},{23,47,935},{22,63,3529},{17,54,924},{18,47,10},{17,41,1302},{0,56,3060},{5,42,924},{30,63,1003},{28,57,6},{29,48,67},{28,46,158},{56,1,3048},{15,56,883},{19,47,8},{1,42,884},{63,25,3048},{1,42,884},{23,63,891},{23,63,891},{23,63,891},{23,44,883},{18,62,649},{18,47,6},{18,47,6},{17,36,61},{4,47,652},{9,37,8},{28,55,2},
{28,55,2},{28,55,2},{28,42,2},{49,0,648},{19,46,2},{19,46,2},{11,37,0},{62,18,648},{11,37,0},{63,1,882},{27,58,2},{32,47,4},{17,47,5},{63,1,882},{63,32,882},{17,47,5},{0,42,884},{63,32,882},{0,42,884},{23,0,882},{23,0,882},{23,0,882},{23,0,882},{18,48,2},{18,48,2},{18,48,2},{18,33,2},{8,38,1},{8,38,1},{28,63,2774},{25,63,927},{26,51,1324},
{25,48,932},{25,63,3681},{19,56,924},{20,49,7},{19,43,1302},{0,59,3052},{7,44,924},{32,63,1074},{30,59,6},{31,50,67},{30,48,170},{59,1,3048},{16,58,885},{20,49,6},{3,44,884},{63,28,3048},{3,44,884},{25,63,918},{25,63,918},{25,63,918},{25,46,883},{20,63,651},{20,49,6},{20,49,6},{19,38,61},{5,49,651},{11,39,8},{30,57,2},{30,57,2},{30,57,2},{30,44,2},{52,0,648},
{21,48,1},{21,48,1},{13,39,0},{62,21,648},{13,39,0},{63,7,882},{29,60,2},{34,49,1},{19,49,1},{63,7,882},{63,35,882},{19,49,1},{0,44,884},{63,35,882},{0,44,884},{25,0,882},{25,0,882},{25,0,882},{25,0,882},{20,50,2},{20,50,2},{20,50,2},{20,35,2},{10,40,1},{10,40,1},{31,63,2998},{28,63,951},{28,53,1324},{27,50,932},{26,63,3844},{21,58,924},{22,51,7},
{21,45,1302},{2,61,3052},{9,46,924},{34,63,1146},{32,61,9},{33,52,74},{32,50,169},{62,1,3048},{18,60,885},{22,51,6},{5,46,884},{63,31,3048},{5,46,884},{28,63,950},{28,63,950},{28,63,950},{27,48,882},{23,63,675},{22,51,6},{22,51,6},{21,40,61},{7,51,651},{13,41,8},{32,59,0},{32,59,0},{32,59,0},{32,46,1},{55,0,648},{23,50,1},{23,50,1},{15,41,0},{62,24,648},
{15,41,0},{63,13,882},{31,62,2},{36,51,1},{21,51,1},{63,13,882},{63,38,882},{21,51,1},{0,46,884},{63,38,882},{0,46,884},{27,0,882},{27,0,882},{27,0,882},{27,0,882},{22,52,2},{22,52,2},{22,52,2},{22,37,2},{12,42,1},{12,42,1},{33,63,3224},{30,63,1031},{30,55,1324},{29,52,932},{29,63,3996},{23,60,924},{24,53,7},{23,47,1302},{4,63,3052},{11,48,922},{37,63,1226},
{34,63,9},{35,54,74},{33,51,161},{63,5,3048},{20,62,885},{24,53,6},{6,48,882},{47,42,3048},{6,48,882},{30,63,995},{30,63,995},{30,63,995},{29,50,882},{25,63,705},{24,53,6},{24,53,6},{23,42,61},{9,53,651},{15,43,8},{34,61,0},{34,61,0},{34,61,0},{34,47,4},{58,0,648},{25,52,1},{25,52,1},{16,43,1},{62,27,648},{16,43,1},{63,19,882},{33,63,4},{38,53,1},
{23,53,1},{63,19,882},{63,41,882},{23,53,1},{0,48,882},{63,41,882},{0,48,882},{29,0,882},{29,0,882},{29,0,882},{29,0,882},{24,54,2},{24,54,2},{24,54,2},{24,39,2},{14,44,1},{14,44,1},{34,63,3510},{32,63,1202},{33,57,1335},{31,54,936},{33,63,4252},{25,63,925},{26,55,13},{25,49,1309},{9,63,3091},{13,50,918},{40,63,1349},{37,63,38},{37,56,77},{36,54,158},{60,17,3048},
{24,63,894},{27,55,8},{9,50,884},{63,37,3048},{9,50,884},{32,63,1058},{32,63,1058},{32,63,1058},{31,52,885},{28,63,762},{26,55,9},{26,55,9},{26,44,61},{11,56,650},{17,45,11},{36,63,2},{36,63,2},{36,63,2},{36,50,2},{53,16,648},{28,54,1},{28,54,1},{19,45,1},{63,30,648},{19,45,1},{59,33,882},{37,63,29},{40,56,4},{26,55,4},{59,33,882},{55,48,882},{26,55,4},
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{1,42,0},{52,1,1568},{46,30,1568},{1,42,0},{0,35,1568},{46,30,1568},{0,35,1568},{9,0,1576},{9,0,1576},{9,0,1576},{9,0,1576},{3,43,4},{3,43,4},{3,43,4},{3,23,4},{0,22,410},{0,22,410},{15,63,4826},{12,62,1650},{14,46,2355},{11,43,1660},{11,63,6452},{4,54,1641},{5,44,15},{3,35,2308},{0,45,7165},{0,35,2875},{22,63,1862},{18,57,9},{20,45,126},{18,42,281},{47,0,5419},
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{16,44,1577},{10,63,1209},{9,48,14},{9,48,14},{8,33,115},{0,42,1601},{0,33,110},{23,57,4},{23,57,4},{23,57,4},{23,40,4},{34,17,1152},{11,46,1},{11,46,1},{0,34,2},{62,12,1152},{0,34,2},{62,0,1568},{21,62,1},{28,48,1},{7,48,0},{62,0,1568},{62,31,1568},{7,48,0},{0,41,1570},{62,31,1568},{0,41,1570},{16,0,1576},{16,0,1576},{16,0,1576},{16,0,1576},{9,50,1},
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{17,58,2},{61,32,1568},{58,48,1568},{17,58,2},{0,51,1570},{58,48,1568},{0,51,1570},{26,0,1570},{26,0,1570},{26,0,1570},{26,0,1570},{19,60,1},{19,60,1},{19,60,1},{19,39,2},{5,47,1},{5,47,1},{34,63,7586},{31,63,3453},{30,62,2357},{28,59,1668},{31,63,8699},{23,63,2180},{21,60,21},{19,51,2316},{7,63,6224},{4,53,1634},{42,63,3131},{37,63,722},{36,62,125},{34,58,278},{55,32,5419},
{26,63,2052},{22,60,9},{0,53,1580},{46,48,5419},{0,53,1580},{30,63,2272},{30,63,2272},{30,63,2272},{28,56,1568},{25,63,1746},{21,60,17},{21,60,17},{21,45,113},{1,61,1154},{9,47,14},{36,63,74},{36,63,74},{36,63,74},{35,52,2},{53,16,1152},{23,59,1},{23,59,1},{11,47,1},{63,30,1152},{11,47,1},{63,35,1568},{43,63,433},{40,60,4},{20,60,4},{63,35,1568},{63,49,1568},{20,60,4},
{0,53,1576},{63,49,1568},{0,53,1576},{28,0,1568},{28,0,1568},{28,0,1568},{28,0,1568},{21,63,0},{21,63,0},{21,63,0},{21,42,0},{7,49,1},{7,49,1},{37,63,8018},{34,63,3915},{32,63,2410},{30,61,1668},{34,63,8985},{26,63,2548},{23,62,21},{21,53,2316},{12,63,6555},{6,55,1634},{43,63,3345},{40,63,1026},{38,63,129},{36,60,278},{58,32,5419},{30,63,2274},{24,62,9},{0,55,1577},{52,48,5419},
{0,55,1577},{32,63,2406},{32,63,2406},{32,63,2406},{30,58,1568},{28,63,1890},{23,62,17},{23,62,17},{23,47,113},{3,63,1154},{11,49,12},{38,63,125},{38,63,125},{38,63,125},{37,54,2},{56,16,1152},{25,61,1},{25,61,1},{14,48,5},{62,33,1152},{14,48,5},{63,41,1568},{46,63,585},{42,62,4},{22,62,4},{63,41,1568},{63,52,1568},{22,62,4},{0,55,1576},{63,52,1568},{0,55,1576},{30,0,1568},
{30,0,1568},{30,0,1568},{30,0,1568},{23,63,4},{23,63,4},{23,63,4},{23,44,0},{9,51,1},{9,51,1},{39,63,7700},{35,63,4026},{34,63,2514},{32,62,1611},{37,63,8485},{29,63,2424},{26,63,20},{23,55,1896},{15,63,6115},{9,56,1308},{46,63,2973},{43,63,1034},{40,63,169},{37,61,194},{63,27,4803},{32,63,2024},{27,63,1},{2,57,1253},{63,45,4803},{2,57,1253},{34,63,2514},{34,63,2514},{34,63,2514},
{32,60,1570},{29,63,2056},{26,63,20},{26,63,20},{24,49,116},{7,63,1164},{13,51,12},{40,63,169},{40,63,169},{40,63,169},{39,56,2},{59,16,1152},{27,63,1},{27,63,1},{16,50,4},{62,36,1152},{16,50,4},{63,45,1250},{48,63,500},{45,63,1},{26,63,0},{63,45,1250},{47,62,1250},{26,63,0},{0,57,1252},{47,62,1250},{0,57,1252},{32,0,1570},{32,0,1570},{32,0,1570},{32,0,1570},{26,63,20},
{26,63,20},{26,63,20},{25,46,0},{11,53,1},{11,53,1},{40,63,7062},{37,63,3915},{37,63,2690},{34,63,1579},{37,63,7765},{30,63,2178},{28,63,77},{26,56,1437},{18,63,5499},{11,57,918},{48,63,2504},{44,63,945},{43,63,225},{40,62,89},{63,31,4056},{35,63,1656},{30,63,9},{6,58,885},{63,47,4056},{6,58,885},{37,63,2690},{37,63,2690},{37,63,2690},{34,62,1570},{33,63,2227},{28,63,77},{28,63,77},
{26,51,116},{11,63,1227},{15,53,12},{43,63,225},{43,63,225},{43,63,225},{41,58,2},{62,16,1152},{30,63,9},{30,63,9},{18,52,4},{62,39,1152},{18,52,4},{63,47,884},{51,63,356},{47,63,4},{32,63,0},{63,47,884},{63,55,884},{32,63,0},{0,58,884},{63,55,884},{0,58,884},{34,0,1570},{34,0,1570},{34,0,1570},{34,0,1570},{28,63,41},{28,63,41},{28,63,41},{27,48,1},{13,55,1},
{13,55,1},{43,63,6493},{40,63,3882},{39,63,2880},{36,63,1584},{40,63,6982},{34,63,1966},{31,63,206},{28,57,971},{23,63,4927},{14,59,562},{50,63,2070},{46,63,842},{46,63,313},{43,62,25},{63,35,3318},{38,63,1326},{34,63,45},{11,59,545},{63,49,3318},{11,59,545},{39,63,2880},{39,63,2880},{39,63,2880},{36,63,1584},{34,63,2434},{31,63,206},{31,63,206},{29,53,114},{15,63,1329},{17,55,14},{46,63,313},
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{38,63,106},{38,63,106},{21,57,1},{63,45,1152},{21,57,1},{63,54,313},{55,63,130},{54,63,1},{45,63,0},{63,54,313},{62,59,313},{45,63,0},{0,60,313},{62,59,313},{0,60,313},{38,0,1568},{38,0,1568},{38,0,1568},{38,0,1568},{33,63,128},{33,63,128},{33,63,128},{31,52,1},{17,59,1},{17,59,1},{46,63,5677},{43,63,3954},{43,63,3225},{40,63,1764},{45,63,5985},{37,63,1830},{37,63,605},
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{23,59,1},{63,57,145},{58,63,58},{57,63,1},{50,63,1},{63,57,145},{63,60,145},{50,63,1},{0,61,145},{63,60,145},{0,61,145},{40,0,1568},{40,0,1568},{40,0,1568},{40,0,1568},{34,63,185},{34,63,185},{34,63,185},{33,54,0},{19,61,1},{19,61,1},{48,63,5379},{46,63,3978},{46,63,3449},{43,63,1924},{46,63,5542},{40,63,1870},{38,63,890},{34,61,225},{32,63,3919},{22,62,43},{54,63,1242},
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{0,58,929},{63,55,925},{0,58,929},{15,0,6964},{15,0,6964},{15,0,6964},{15,0,6964},{3,63,769},{3,63,769},{3,63,769},{0,44,0},{0,36,2745},{0,36,2745},{29,63,25483},{23,63,17983},{22,63,15066},{17,63,8739},{23,63,26083},{12,63,8302},{6,63,2965},{0,56,1458},{0,63,18886},{0,53,6955},{43,63,5581},{40,63,2986},{37,63,1801},{32,63,65},{58,32,8901},{27,63,3558},{20,63,698},{0,56,1458},{52,48,8901},
{0,56,1458},{22,63,15066},{22,63,15066},{22,63,15066},{17,63,8739},{15,63,12626},{6,63,2965},{6,63,2965},{0,52,277},{0,56,11011},{0,49,4833},{37,63,1801},{37,63,1801},{37,63,1801},{32,63,65},{56,16,4418},{20,63,698},{20,63,698},{0,52,277},{62,33,4418},{0,52,277},{63,50,613},{52,63,250},{50,63,0},{37,63,0},{63,50,613},{62,57,613},{37,63,0},{0,59,617},{62,57,613},{0,59,617},{16,0,7946},
{16,0,7946},{16,0,7946},{16,0,7946},{5,63,1184},{5,63,1184},{5,63,1184},{0,47,0},{0,36,3145},{0,36,3145},{29,63,26667},{26,63,19695},{23,63,16891},{18,63,10206},{26,63,26795},{12,63,9118},{9,63,4037},{0,58,933},{0,63,19110},{0,56,6699},{46,63,5181},{40,63,2970},{40,63,2009},{34,63,160},{63,27,8069},{30,63,3310},{23,63,898},{0,58,933},{63,45,8069},{0,58,933},{23,63,16891},{23,63,16891},{23,63,16891},
{18,63,10206},{17,63,14179},{9,63,4037},{9,63,4037},{0,55,221},{0,59,11627},{0,50,5115},{40,63,2009},{40,63,2009},{40,63,2009},{34,63,160},{59,16,4418},{23,63,898},{23,63,898},{0,55,221},{62,36,4418},{0,55,221},{63,53,365},{55,63,146},{53,63,0},{43,63,0},{63,53,365},{63,58,365},{43,63,0},{0,60,369},{63,58,365},{0,60,369},{16,0,8986},{16,0,8986},{16,0,8986},{16,0,8986},{6,63,1665},
{6,63,1665},{6,63,1665},{0,50,1},{0,39,3545},{0,39,3545},{31,63,26643},{26,63,20231},{26,63,17731},{20,63,10867},{26,63,26531},{15,63,9546},{12,63,4889},{0,59,590},{0,63,18606},{0,56,5707},{46,63,4781},{43,63,2978},{42,63,2228},{37,63,320},{63,31,7322},{32,63,3134},{27,63,1125},{0,59,554},{63,47,7322},{0,59,554},{26,63,17731},{26,63,17731},{26,63,17731},{20,63,10867},{20,63,15043},{12,63,4889},{12,63,4889},
{1,56,185},{0,62,11315},{0,53,4667},{42,63,2228},{42,63,2228},{42,63,2228},{37,63,320},{62,16,4418},{27,63,1125},{27,63,1125},{0,56,162},{62,39,4418},{0,56,162},{63,56,181},{57,63,73},{56,63,0},{49,63,0},{63,56,181},{62,60,181},{49,63,0},{0,61,185},{62,60,181},{0,61,185},{18,0,9250},{18,0,9250},{18,0,9250},{18,0,9250},{8,63,1972},{8,63,1972},{8,63,1972},{1,52,4},{0,42,3341},
{0,42,3341},{34,63,26006},{29,63,20400},{28,63,18273},{23,63,11384},{29,63,25736},{17,63,9864},{12,63,5726},{2,60,366},{0,63,18111},{0,59,4452},{48,63,4436},{46,63,3050},{43,63,2465},{40,63,562},{63,35,6584},{37,63,3006},{30,63,1421},{0,61,237},{63,49,6584},{0,61,237},{28,63,18273},{28,63,18273},{28,63,18273},{23,63,11384},{23,63,15704},{12,63,5726},{12,63,5726},{3,59,189},{0,63,10886},{0,56,3924},{43,63,2465},
{43,63,2465},{43,63,2465},{40,63,562},{63,21,4418},{30,63,1421},{30,63,1421},{0,59,100},{63,42,4418},{0,59,100},{63,59,52},{60,63,20},{59,63,1},{56,63,0},{63,59,52},{63,61,52},{56,63,0},{0,62,52},{63,61,52},{0,62,52},{20,0,9256},{20,0,9256},{20,0,9256},{20,0,9256},{9,63,2205},{9,63,2205},{9,63,2205},{4,54,1},{0,45,2925},{0,45,2925},{34,63,25526},{31,63,20721},{29,63,18700},
{24,63,11921},{31,63,25279},{20,63,10264},{15,63,6494},{4,62,238},{4,63,17924},{0,59,3588},{51,63,4228},{48,63,3140},{46,63,2665},{41,63,833},{63,39,6019},{40,63,2958},{34,63,1693},{0,62,84},{47,59,6019},{0,62,84},{29,63,18700},{29,63,18700},{29,63,18700},{24,63,11921},{23,63,16280},{15,63,6494},{15,63,6494},{5,61,189},{0,63,10854},{0,59,3332},{46,63,2665},{46,63,2665},{46,63,2665},{41,63,833},{63,27,4418},
{34,63,1693},{34,63,1693},{0,61,61},{63,45,4418},{0,61,61},{63,62,4},{63,63,4},{62,63,1},{62,63,0},{63,62,4},{62,63,4},{62,63,0},{0,63,4},{62,63,4},{0,63,4},{22,0,9256},{22,0,9256},{22,0,9256},{22,0,9256},{12,63,2389},{12,63,2389},{12,63,2389},{6,56,1},{0,50,2512},{0,50,2512},{37,63,24250},{34,63,19895},{31,63,18169},{26,63,11820},{34,63,23717},{20,63,10012},{17,63,6584},
{7,62,122},{6,63,16879},{0,62,2736},{51,63,3648},{48,63,2784},{48,63,2384},{43,63,778},{63,42,5163},{41,63,2584},{37,63,1549},{0,63,9},{46,61,5163},{0,63,9},{31,63,18169},{31,63,18169},{31,63,18169},{26,63,11820},{26,63,15620},{17,63,6584},{17,63,6584},{7,62,106},{0,63,10150},{0,59,2624},{48,63,2384},{48,63,2384},{48,63,2384},{43,63,778},{63,31,3872},{37,63,1549},{37,63,1549},{0,63,9},{63,47,3872},
{0,63,9},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{24,0,9256},{24,0,9256},{24,0,9256},{24,0,9256},{15,63,2605},{15,63,2605},{15,63,2605},{8,58,1},{0,53,2176},{0,53,2176},{37,63,22746},{34,63,18775},{34,63,17254},{29,63,11564},{34,63,21973},{23,63,9532},{20,63,6424},{9,62,57},{9,63,15607},{0,62,2032},{53,63,3058},
{51,63,2304},{48,63,2000},{46,63,650},{63,43,4267},{43,63,2134},{40,63,1285},{4,63,0},{63,53,4267},{4,63,0},{34,63,17254},{34,63,17254},{34,63,17254},{29,63,11564},{29,63,14692},{20,63,6424},{20,63,6424},{9,62,41},{0,63,9366},{0,62,2016},{48,63,2000},{48,63,2000},{48,63,2000},{46,63,650},{55,49,3200},{40,63,1285},{40,63,1285},{4,63,0},{63,48,3200},{4,63,0},{63,63,0},{63,63,0},{63,63,0},
{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{26,0,9256},{26,0,9256},{26,0,9256},{26,0,9256},{17,63,2836},{17,63,2836},{17,63,2836},{10,60,1},{0,59,1856},{0,59,1856},{40,63,21168},{37,63,17685},{34,63,16300},{30,63,11323},{37,63,20205},{26,63,9090},{23,63,6310},{12,63,4},{12,63,14287},{0,62,1546},{54,63,2377},{51,63,1809},{51,63,1553},{47,63,520},{61,49,3361},
{46,63,1683},{43,63,1018},{11,63,0},{63,54,3361},{11,63,0},{34,63,16300},{34,63,16300},{34,63,16300},{30,63,11323},{29,63,13666},{23,63,6310},{23,63,6310},{12,63,4},{3,63,8686},{0,62,1530},{51,63,1553},{51,63,1553},{51,63,1553},{47,63,520},{63,37,2521},{43,63,1018},{43,63,1018},{11,63,0},{62,50,2521},{11,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},
{0,63,0},{63,63,0},{0,63,0},{29,0,9250},{29,0,9250},{29,0,9250},{29,0,9250},{20,63,3114},{20,63,3114},{20,63,3114},{12,62,1},{0,62,1514},{0,62,1514},{40,63,19824},{37,63,16725},{37,63,15500},{32,63,11084},{37,63,18685},{26,63,8770},{26,63,6270},{14,63,16},{15,63,13215},{0,63,1325},{54,63,1881},{54,63,1449},{51,63,1249},{48,63,409},{63,47,2649},{47,63,1329},{44,63,797},{16,63,1},{63,55,2649},
{16,63,1},{37,63,15500},{37,63,15500},{37,63,15500},{32,63,11084},{31,63,12906},{26,63,6270},{26,63,6270},{14,63,16},{6,63,8150},{0,63,1325},{51,63,1249},{51,63,1249},{51,63,1249},{48,63,409},{63,40,1985},{44,63,797},{44,63,797},{16,63,1},{63,51,1985},{16,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{31,0,9250},
{31,0,9250},{31,0,9250},{31,0,9250},{22,63,3393},{22,63,3393},{22,63,3393},{14,63,16},{0,63,1325},{0,63,1325},{43,63,18608},{40,63,15853},{37,63,14796},{34,63,10841},{40,63,17341},{29,63,8410},{26,63,6206},{17,63,74},{17,63,12226},{0,63,1341},{56,63,1451},{54,63,1081},{54,63,937},{51,63,305},{63,50,2017},{49,63,1011},{47,63,605},{22,63,1},{62,57,2017},{22,63,1},{37,63,14796},{37,63,14796},{37,63,14796},
{34,63,10841},{34,63,12089},{26,63,6206},{26,63,6206},{17,63,74},{9,63,7678},{0,63,1341},{54,63,937},{54,63,937},{54,63,937},{51,63,305},{63,43,1513},{47,63,605},{47,63,605},{22,63,1},{62,53,1513},{22,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{32,0,9256},{32,0,9256},{32,0,9256},{32,0,9256},{23,63,3650},
{23,63,3650},{23,63,3650},{17,63,74},{0,63,1341},{0,63,1341},{43,63,17392},{40,63,15021},{40,63,14060},{37,63,10673},{40,63,16013},{32,63,8261},{29,63,6166},{19,63,194},{20,63,11338},{1,63,1594},{57,63,1041},{56,63,822},{54,63,697},{52,63,234},{63,51,1473},{51,63,737},{49,63,442},{28,63,1},{63,57,1473},{28,63,1},{40,63,14060},{40,63,14060},{40,63,14060},{37,63,10673},{34,63,11401},{29,63,6166},{29,63,6166},
{19,63,194},{12,63,7270},{1,63,1594},{54,63,697},{54,63,697},{54,63,697},{52,63,234},{63,46,1105},{49,63,442},{49,63,442},{28,63,1},{63,54,1105},{28,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{34,0,9256},{34,0,9256},{34,0,9256},{34,0,9256},{26,63,3898},{26,63,3898},{26,63,3898},{19,63,194},{1,63,1594},
{1,63,1594},
/**** ended inlining basisu_transcoder_tables_dxt1_6.inc ****/
};
static const etc1_to_dxt1_56_solution g_etc1_to_dxt_5[32 * 8 * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS * NUM_ETC1_TO_DXT1_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_dxt1_5.inc ****/
// Copyright (C) 2017-2019 Binomial LLC. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
{0,2,18},{0,1,9},{0,1,0},{0,1,9},{0,1,40},{0,1,22},{0,1,13},{0,1,61},{0,1,47},{0,1,65},{0,2,18},{0,1,9},{0,1,0},{0,1,9},{0,1,40},{0,1,22},{0,1,13},{0,1,61},{1,0,40},{0,1,61},{0,1,0},{0,1,0},{0,1,0},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,0},
{0,1,0},{0,1,0},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{1,0,18},{0,1,9},{0,1,0},{0,1,9},{1,0,18},{2,0,18},{0,1,9},{0,1,36},{2,0,18},{0,1,36},{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},{0,5,54},{0,3,40},{0,2,61},
{0,2,36},{0,4,51},{0,2,37},{0,2,1},{0,2,52},{0,2,77},{0,1,73},{1,3,22},{1,2,13},{1,2,4},{1,2,13},{0,4,51},{1,2,34},{0,2,1},{0,2,52},{4,0,51},{0,2,52},{0,4,37},{0,4,37},{0,4,37},{0,2,36},{0,3,8},{0,2,1},{0,2,1},{0,1,5},{0,1,30},{0,1,9},{1,2,4},{1,2,4},{1,2,4},{1,1,8},{1,1,8},
{0,2,1},{0,2,1},{0,1,5},{3,0,8},{0,1,5},{2,1,18},{0,3,4},{1,2,0},{0,2,0},{2,1,18},{5,0,18},{0,2,0},{0,2,36},{5,0,18},{0,2,36},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,5},{0,1,5},{1,6,54},{1,4,40},{1,3,61},{1,3,36},{1,5,51},{1,3,37},{1,3,1},
{1,3,52},{0,3,72},{0,3,40},{2,4,22},{2,3,13},{2,3,4},{2,3,13},{1,5,51},{0,4,29},{1,3,1},{0,3,40},{7,0,51},{0,3,40},{1,5,37},{1,5,37},{1,5,37},{1,3,36},{1,4,8},{1,3,1},{1,3,1},{1,2,5},{0,3,8},{1,2,9},{2,3,4},{2,3,4},{2,3,4},{2,2,8},{3,0,8},{1,3,1},{1,3,1},{1,2,5},{6,0,8},
{1,2,5},{3,2,18},{1,4,4},{2,3,0},{1,3,0},{3,2,18},{6,1,18},{1,3,0},{0,3,36},{6,1,18},{0,3,36},{1,0,36},{1,0,36},{1,0,36},{1,0,36},{1,3,1},{1,3,1},{1,3,1},{1,2,1},{0,3,4},{0,3,4},{2,7,54},{2,5,40},{2,4,62},{2,4,38},{2,6,51},{2,4,27},{2,4,3},{2,3,69},{0,5,60},{1,4,54},{3,5,22},
{3,4,9},{3,4,6},{3,4,21},{5,0,51},{2,4,27},{2,4,3},{0,4,50},{10,0,51},{0,4,50},{2,6,37},{2,6,37},{2,6,37},{2,4,37},{2,5,8},{2,4,2},{2,4,2},{2,3,5},{1,4,8},{2,3,9},{3,4,5},{3,4,5},{3,4,5},{3,3,8},{4,1,8},{2,4,2},{2,4,2},{2,3,5},{9,0,8},{2,3,5},{3,5,18},{2,5,4},{3,4,2},
{2,4,2},{3,5,18},{7,2,18},{2,4,2},{0,4,50},{7,2,18},{0,4,50},{2,0,36},{2,0,36},{2,0,36},{2,0,36},{2,4,1},{2,4,1},{2,4,1},{2,3,1},{1,4,4},{1,4,4},{3,8,68},{3,6,60},{4,5,68},{3,5,50},{3,7,53},{3,6,28},{3,5,5},{3,5,53},{3,5,68},{2,5,38},{4,6,22},{4,5,13},{4,5,4},{4,5,13},{6,1,52},
{3,6,27},{3,5,4},{1,5,37},{13,0,52},{1,5,37},{3,7,50},{3,7,50},{3,7,50},{3,5,50},{3,6,11},{3,5,5},{3,5,5},{3,4,6},{2,5,11},{3,4,9},{4,5,4},{4,5,4},{4,5,4},{4,4,8},{4,4,8},{3,5,4},{3,5,4},{3,4,5},{12,0,8},{3,4,5},{7,0,18},{4,5,9},{4,5,0},{3,5,0},{7,0,18},{14,0,18},{3,5,0},
{0,5,36},{14,0,18},{0,5,36},{3,0,50},{3,0,50},{3,0,50},{3,0,50},{3,6,2},{3,6,2},{3,6,2},{3,4,2},{2,5,2},{2,5,2},{4,9,54},{4,7,40},{4,6,61},{4,6,36},{4,8,51},{4,6,37},{4,6,1},{4,6,52},{2,7,68},{3,6,38},{5,7,22},{5,6,13},{5,6,4},{5,6,13},{8,0,51},{5,6,34},{4,6,1},{2,6,37},{16,0,51},
{2,6,37},{4,8,37},{4,8,37},{4,8,37},{4,6,36},{4,7,8},{4,6,1},{4,6,1},{4,5,5},{3,6,11},{4,5,9},{5,6,4},{5,6,4},{5,6,4},{5,5,8},{5,5,8},{4,6,1},{4,6,1},{4,5,5},{15,0,8},{4,5,5},{8,1,18},{4,7,4},{5,6,0},{4,6,0},{8,1,18},{17,0,18},{4,6,0},{0,6,36},{17,0,18},{0,6,36},{4,0,36},
{4,0,36},{4,0,36},{4,0,36},{4,6,1},{4,6,1},{4,6,1},{4,5,1},{3,6,2},{3,6,2},{5,10,54},{5,8,40},{5,7,61},{5,7,36},{5,9,51},{5,7,37},{5,7,1},{5,7,52},{3,8,60},{4,7,40},{6,8,22},{6,7,13},{6,7,4},{6,7,13},{9,1,51},{4,8,29},{5,7,1},{3,7,37},{19,0,51},{3,7,37},{5,9,37},{5,9,37},{5,9,37},
{5,7,36},{5,8,8},{5,7,1},{5,7,1},{5,6,5},{4,7,8},{5,6,9},{6,7,4},{6,7,4},{6,7,4},{6,6,8},{9,0,8},{5,7,1},{5,7,1},{5,6,5},{18,0,8},{5,6,5},{10,0,18},{5,8,4},{6,7,0},{5,7,0},{10,0,18},{18,1,18},{5,7,0},{0,7,36},{18,1,18},{0,7,36},{5,0,36},{5,0,36},{5,0,36},{5,0,36},{5,7,1},
{5,7,1},{5,7,1},{5,6,1},{4,7,4},{4,7,4},{6,11,54},{6,9,40},{6,8,62},{6,8,38},{6,10,51},{6,8,27},{6,8,3},{6,7,69},{4,9,60},{5,8,54},{7,9,22},{7,8,9},{7,8,6},{7,8,21},{11,0,51},{6,8,27},{6,8,3},{4,8,50},{22,0,51},{4,8,50},{6,10,37},{6,10,37},{6,10,37},{6,8,37},{6,9,8},{6,8,2},{6,8,2},
{6,7,5},{5,8,8},{6,7,9},{7,8,5},{7,8,5},{7,8,5},{7,7,8},{10,1,8},{6,8,2},{6,8,2},{6,7,5},{21,0,8},{6,7,5},{11,1,18},{6,9,4},{7,8,2},{6,8,2},{11,1,18},{19,2,18},{6,8,2},{0,8,50},{19,2,18},{0,8,50},{6,0,36},{6,0,36},{6,0,36},{6,0,36},{6,8,1},{6,8,1},{6,8,1},{6,7,1},{5,8,4},
{5,8,4},{7,12,68},{7,10,60},{8,9,68},{7,9,50},{7,11,53},{7,10,28},{7,9,5},{7,9,53},{7,9,68},{6,9,38},{8,10,22},{8,9,13},{8,9,4},{8,9,13},{12,1,52},{7,10,27},{7,9,4},{5,9,37},{25,0,52},{5,9,37},{7,11,50},{7,11,50},{7,11,50},{7,9,50},{7,10,11},{7,9,5},{7,9,5},{7,8,6},{6,9,11},{7,8,9},{8,9,4},
{8,9,4},{8,9,4},{8,8,8},{12,0,8},{7,9,4},{7,9,4},{7,8,5},{24,0,8},{7,8,5},{13,0,18},{8,9,9},{8,9,0},{7,9,0},{13,0,18},{26,0,18},{7,9,0},{0,9,36},{26,0,18},{0,9,36},{7,0,50},{7,0,50},{7,0,50},{7,0,50},{7,10,2},{7,10,2},{7,10,2},{7,8,2},{6,9,2},{6,9,2},{8,13,54},{8,11,40},{8,10,61},
{8,10,36},{8,12,51},{8,10,37},{8,10,1},{8,10,52},{6,11,68},{7,10,38},{9,11,22},{9,10,13},{9,10,4},{9,10,13},{12,4,51},{9,10,34},{8,10,1},{6,10,37},{28,0,51},{6,10,37},{8,12,37},{8,12,37},{8,12,37},{8,10,36},{8,11,8},{8,10,1},{8,10,1},{8,9,5},{7,10,11},{8,9,9},{9,10,4},{9,10,4},{9,10,4},{9,9,8},{13,1,8},
{8,10,1},{8,10,1},{8,9,5},{27,0,8},{8,9,5},{14,1,18},{8,11,4},{9,10,0},{8,10,0},{14,1,18},{29,0,18},{8,10,0},{0,10,36},{29,0,18},{0,10,36},{8,0,36},{8,0,36},{8,0,36},{8,0,36},{8,10,1},{8,10,1},{8,10,1},{8,9,1},{7,10,2},{7,10,2},{9,14,54},{9,12,40},{9,11,61},{9,11,36},{9,13,51},{9,11,37},{9,11,1},
{9,11,52},{7,12,60},{8,11,40},{10,12,22},{10,11,13},{10,11,4},{10,11,13},{13,5,51},{8,12,29},{9,11,1},{7,11,37},{31,0,51},{7,11,37},{9,13,37},{9,13,37},{9,13,37},{9,11,36},{9,12,8},{9,11,1},{9,11,1},{9,10,5},{8,11,8},{9,10,9},{10,11,4},{10,11,4},{10,11,4},{10,10,8},{15,0,8},{9,11,1},{9,11,1},{9,10,5},{30,0,8},
{9,10,5},{15,2,18},{9,12,4},{10,11,0},{9,11,0},{15,2,18},{30,1,18},{9,11,0},{0,11,36},{30,1,18},{0,11,36},{9,0,36},{9,0,36},{9,0,36},{9,0,36},{9,11,1},{9,11,1},{9,11,1},{9,10,1},{8,11,4},{8,11,4},{10,15,54},{10,13,40},{10,12,62},{10,12,38},{10,14,51},{10,12,27},{10,12,3},{10,11,69},{8,13,60},{9,12,54},{11,13,22},
{11,12,9},{11,12,6},{11,12,21},{17,0,51},{10,12,27},{10,12,3},{8,12,50},{30,2,51},{8,12,50},{10,14,37},{10,14,37},{10,14,37},{10,12,37},{10,13,8},{10,12,2},{10,12,2},{10,11,5},{9,12,8},{10,11,9},{11,12,5},{11,12,5},{11,12,5},{11,11,8},{16,1,8},{10,12,2},{10,12,2},{10,11,5},{31,1,8},{10,11,5},{15,5,18},{10,13,4},{11,12,2},
{10,12,2},{15,5,18},{31,2,18},{10,12,2},{0,12,50},{31,2,18},{0,12,50},{10,0,36},{10,0,36},{10,0,36},{10,0,36},{10,12,1},{10,12,1},{10,12,1},{10,11,1},{9,12,4},{9,12,4},{11,16,68},{11,14,60},{12,13,68},{11,13,50},{11,15,53},{11,14,28},{11,13,5},{11,13,53},{11,13,68},{10,13,38},{12,14,22},{12,13,13},{12,13,4},{12,13,13},{18,1,52},
{11,14,27},{11,13,4},{9,13,37},{31,3,52},{9,13,37},{11,15,50},{11,15,50},{11,15,50},{11,13,50},{11,14,11},{11,13,5},{11,13,5},{11,12,6},{10,13,11},{11,12,9},{12,13,4},{12,13,4},{12,13,4},{12,12,8},{16,4,8},{11,13,4},{11,13,4},{11,12,5},{28,4,8},{11,12,5},{19,0,18},{12,13,9},{12,13,0},{11,13,0},{19,0,18},{30,4,18},{11,13,0},
{0,13,36},{30,4,18},{0,13,36},{11,0,50},{11,0,50},{11,0,50},{11,0,50},{11,14,2},{11,14,2},{11,14,2},{11,12,2},{10,13,2},{10,13,2},{12,17,54},{12,15,40},{12,14,61},{12,14,36},{12,16,51},{12,14,37},{12,14,1},{12,14,52},{10,15,68},{11,14,38},{13,15,22},{13,14,13},{13,14,4},{13,14,13},{20,0,51},{13,14,34},{12,14,1},{10,14,37},{24,8,51},
{10,14,37},{12,16,37},{12,16,37},{12,16,37},{12,14,36},{12,15,8},{12,14,1},{12,14,1},{12,13,5},{11,14,11},{12,13,9},{13,14,4},{13,14,4},{13,14,4},{13,13,8},{17,5,8},{12,14,1},{12,14,1},{12,13,5},{31,4,8},{12,13,5},{20,1,18},{12,15,4},{13,14,0},{12,14,0},{20,1,18},{31,5,18},{12,14,0},{0,14,36},{31,5,18},{0,14,36},{12,0,36},
{12,0,36},{12,0,36},{12,0,36},{12,14,1},{12,14,1},{12,14,1},{12,13,1},{11,14,2},{11,14,2},{13,18,54},{13,16,40},{13,15,61},{13,15,36},{13,17,51},{13,15,37},{13,15,1},{13,15,52},{11,16,60},{12,15,40},{14,16,22},{14,15,13},{14,15,4},{14,15,13},{21,1,51},{12,16,29},{13,15,1},{11,15,37},{27,8,51},{11,15,37},{13,17,37},{13,17,37},{13,17,37},
{13,15,36},{13,16,8},{13,15,1},{13,15,1},{13,14,5},{12,15,8},{13,14,9},{14,15,4},{14,15,4},{14,15,4},{14,14,8},{21,0,8},{13,15,1},{13,15,1},{13,14,5},{30,6,8},{13,14,5},{22,0,18},{13,16,4},{14,15,0},{13,15,0},{22,0,18},{30,7,18},{13,15,0},{0,15,36},{30,7,18},{0,15,36},{13,0,36},{13,0,36},{13,0,36},{13,0,36},{13,15,1},
{13,15,1},{13,15,1},{13,14,1},{12,15,4},{12,15,4},{14,19,54},{14,17,40},{14,16,62},{14,16,38},{14,18,51},{14,16,27},{14,16,3},{14,15,69},{12,17,60},{13,16,54},{15,17,22},{15,16,9},{15,16,6},{15,16,21},{23,0,51},{14,16,27},{14,16,3},{12,16,50},{30,8,51},{12,16,50},{14,18,37},{14,18,37},{14,18,37},{14,16,37},{14,17,8},{14,16,2},{14,16,2},
{14,15,5},{13,16,8},{14,15,9},{15,16,5},{15,16,5},{15,16,5},{15,15,8},{22,1,8},{14,16,2},{14,16,2},{14,15,5},{31,7,8},{14,15,5},{23,1,18},{14,17,4},{15,16,2},{14,16,2},{23,1,18},{27,10,18},{14,16,2},{0,16,50},{27,10,18},{0,16,50},{14,0,36},{14,0,36},{14,0,36},{14,0,36},{14,16,1},{14,16,1},{14,16,1},{14,15,1},{13,16,4},
{13,16,4},{15,20,68},{15,18,60},{16,17,68},{15,17,50},{15,19,53},{15,18,28},{15,17,5},{15,17,53},{15,17,68},{14,17,38},{16,18,22},{16,17,13},{16,17,4},{16,17,13},{24,1,52},{15,18,27},{15,17,4},{13,17,37},{31,9,52},{13,17,37},{15,19,50},{15,19,50},{15,19,50},{15,17,50},{15,18,11},{15,17,5},{15,17,5},{15,16,6},{14,17,11},{15,16,9},{16,17,4},
{16,17,4},{16,17,4},{16,16,8},{24,0,8},{15,17,4},{15,17,4},{15,16,5},{24,12,8},{15,16,5},{25,0,18},{16,17,9},{16,17,0},{15,17,0},{25,0,18},{30,10,18},{15,17,0},{0,17,36},{30,10,18},{0,17,36},{15,0,50},{15,0,50},{15,0,50},{15,0,50},{15,18,2},{15,18,2},{15,18,2},{15,16,2},{14,17,2},{14,17,2},{16,21,54},{16,19,40},{16,18,61},
{16,18,36},{16,20,51},{16,18,37},{16,18,1},{16,18,52},{14,19,68},{15,18,38},{17,19,22},{17,18,13},{17,18,4},{17,18,13},{24,4,51},{17,18,34},{16,18,1},{14,18,37},{28,12,51},{14,18,37},{16,20,37},{16,20,37},{16,20,37},{16,18,36},{16,19,8},{16,18,1},{16,18,1},{16,17,5},{15,18,11},{16,17,9},{17,18,4},{17,18,4},{17,18,4},{17,17,8},{25,1,8},
{16,18,1},{16,18,1},{16,17,5},{27,12,8},{16,17,5},{26,1,18},{16,19,4},{17,18,0},{16,18,0},{26,1,18},{31,11,18},{16,18,0},{0,18,36},{31,11,18},{0,18,36},{16,0,36},{16,0,36},{16,0,36},{16,0,36},{16,18,1},{16,18,1},{16,18,1},{16,17,1},{15,18,2},{15,18,2},{17,22,54},{17,20,40},{17,19,61},{17,19,36},{17,21,51},{17,19,37},{17,19,1},
{17,19,52},{15,20,60},{16,19,40},{18,20,22},{18,19,13},{18,19,4},{18,19,13},{25,5,51},{16,20,29},{17,19,1},{15,19,37},{31,12,51},{15,19,37},{17,21,37},{17,21,37},{17,21,37},{17,19,36},{17,20,8},{17,19,1},{17,19,1},{17,18,5},{16,19,8},{17,18,9},{18,19,4},{18,19,4},{18,19,4},{18,18,8},{27,0,8},{17,19,1},{17,19,1},{17,18,5},{30,12,8},
{17,18,5},{27,2,18},{17,20,4},{18,19,0},{17,19,0},{27,2,18},{30,13,18},{17,19,0},{0,19,36},{30,13,18},{0,19,36},{17,0,36},{17,0,36},{17,0,36},{17,0,36},{17,19,1},{17,19,1},{17,19,1},{17,18,1},{16,19,4},{16,19,4},{18,23,54},{18,21,40},{18,20,62},{18,20,38},{18,22,51},{18,20,27},{18,20,3},{18,19,69},{16,21,60},{17,20,54},{19,21,22},
{19,20,9},{19,20,6},{19,20,21},{29,0,51},{18,20,27},{18,20,3},{16,20,50},{30,14,51},{16,20,50},{18,22,37},{18,22,37},{18,22,37},{18,20,37},{18,21,8},{18,20,2},{18,20,2},{18,19,5},{17,20,8},{18,19,9},{19,20,5},{19,20,5},{19,20,5},{19,19,8},{28,1,8},{18,20,2},{18,20,2},{18,19,5},{31,13,8},{18,19,5},{27,5,18},{18,21,4},{19,20,2},
{18,20,2},{27,5,18},{31,14,18},{18,20,2},{0,20,50},{31,14,18},{0,20,50},{18,0,36},{18,0,36},{18,0,36},{18,0,36},{18,20,1},{18,20,1},{18,20,1},{18,19,1},{17,20,4},{17,20,4},{19,24,68},{19,22,60},{20,21,68},{19,21,50},{19,23,53},{19,22,28},{19,21,5},{19,21,53},{19,21,68},{18,21,38},{20,22,22},{20,21,13},{20,21,4},{20,21,13},{30,1,52},
{19,22,27},{19,21,4},{17,21,37},{31,15,52},{17,21,37},{19,23,50},{19,23,50},{19,23,50},{19,21,50},{19,22,11},{19,21,5},{19,21,5},{19,20,6},{18,21,11},{19,20,9},{20,21,4},{20,21,4},{20,21,4},{20,20,8},{28,4,8},{19,21,4},{19,21,4},{19,20,5},{28,16,8},{19,20,5},{31,0,18},{20,21,9},{20,21,0},{19,21,0},{31,0,18},{30,16,18},{19,21,0},
{0,21,36},{30,16,18},{0,21,36},{19,0,50},{19,0,50},{19,0,50},{19,0,50},{19,22,2},{19,22,2},{19,22,2},{19,20,2},{18,21,2},{18,21,2},{20,25,54},{20,23,40},{20,22,61},{20,22,36},{20,24,51},{20,22,37},{20,22,1},{20,22,52},{18,23,68},{19,22,38},{21,23,22},{21,22,13},{21,22,4},{21,22,13},{28,8,51},{21,22,34},{20,22,1},{18,22,37},{24,20,51},
{18,22,37},{20,24,37},{20,24,37},{20,24,37},{20,22,36},{20,23,8},{20,22,1},{20,22,1},{20,21,5},{19,22,11},{20,21,9},{21,22,4},{21,22,4},{21,22,4},{21,21,8},{29,5,8},{20,22,1},{20,22,1},{20,21,5},{31,16,8},{20,21,5},{31,3,18},{20,23,4},{21,22,0},{20,22,0},{31,3,18},{31,17,18},{20,22,0},{0,22,36},{31,17,18},{0,22,36},{20,0,36},
{20,0,36},{20,0,36},{20,0,36},{20,22,1},{20,22,1},{20,22,1},{20,21,1},{19,22,2},{19,22,2},{21,26,54},{21,24,40},{21,23,61},{21,23,36},{21,25,51},{21,23,37},{21,23,1},{21,23,52},{19,24,60},{20,23,40},{22,24,22},{22,23,13},{22,23,4},{22,23,13},{29,9,51},{20,24,29},{21,23,1},{19,23,37},{27,20,51},{19,23,37},{21,25,37},{21,25,37},{21,25,37},
{21,23,36},{21,24,8},{21,23,1},{21,23,1},{21,22,5},{20,23,8},{21,22,9},{22,23,4},{22,23,4},{22,23,4},{22,22,8},{31,4,8},{21,23,1},{21,23,1},{21,22,5},{30,18,8},{21,22,5},{31,6,18},{21,24,4},{22,23,0},{21,23,0},{31,6,18},{30,19,18},{21,23,0},{0,23,36},{30,19,18},{0,23,36},{21,0,36},{21,0,36},{21,0,36},{21,0,36},{21,23,1},
{21,23,1},{21,23,1},{21,22,1},{20,23,4},{20,23,4},{22,27,54},{22,25,40},{22,24,62},{22,24,38},{22,26,51},{22,24,27},{22,24,3},{22,23,69},{20,25,60},{21,24,54},{23,25,22},{23,24,9},{23,24,6},{23,24,21},{31,8,51},{22,24,27},{22,24,3},{20,24,50},{30,20,51},{20,24,50},{22,26,37},{22,26,37},{22,26,37},{22,24,37},{22,25,8},{22,24,2},{22,24,2},
{22,23,5},{21,24,8},{22,23,9},{23,24,5},{23,24,5},{23,24,5},{23,23,8},{31,7,8},{22,24,2},{22,24,2},{22,23,5},{31,19,8},{22,23,5},{31,9,18},{22,25,4},{23,24,2},{22,24,2},{31,9,18},{27,22,18},{22,24,2},{0,24,50},{27,22,18},{0,24,50},{22,0,36},{22,0,36},{22,0,36},{22,0,36},{22,24,1},{22,24,1},{22,24,1},{22,23,1},{21,24,4},
{21,24,4},{23,28,68},{23,26,60},{24,25,68},{23,25,50},{23,27,53},{23,26,28},{23,25,5},{23,25,53},{23,25,68},{22,25,38},{24,26,22},{24,25,13},{24,25,4},{24,25,13},{31,11,52},{23,26,27},{23,25,4},{21,25,37},{31,21,52},{21,25,37},{23,27,50},{23,27,50},{23,27,50},{23,25,50},{23,26,11},{23,25,5},{23,25,5},{23,24,6},{22,25,11},{23,24,9},{24,25,4},
{24,25,4},{24,25,4},{24,24,8},{28,16,8},{23,25,4},{23,25,4},{23,24,5},{24,24,8},{23,24,5},{31,12,18},{24,25,9},{24,25,0},{23,25,0},{31,12,18},{30,22,18},{23,25,0},{0,25,36},{30,22,18},{0,25,36},{23,0,50},{23,0,50},{23,0,50},{23,0,50},{23,26,2},{23,26,2},{23,26,2},{23,24,2},{22,25,2},{22,25,2},{24,29,54},{24,27,40},{24,26,61},
{24,26,36},{24,28,51},{24,26,37},{24,26,1},{24,26,52},{22,27,68},{23,26,38},{25,27,22},{25,26,13},{25,26,4},{25,26,13},{28,20,51},{25,26,34},{24,26,1},{22,26,37},{28,24,51},{22,26,37},{24,28,37},{24,28,37},{24,28,37},{24,26,36},{24,27,8},{24,26,1},{24,26,1},{24,25,5},{23,26,11},{24,25,9},{25,26,4},{25,26,4},{25,26,4},{25,25,8},{29,17,8},
{24,26,1},{24,26,1},{24,25,5},{27,24,8},{24,25,5},{31,15,18},{24,27,4},{25,26,0},{24,26,0},{31,15,18},{31,23,18},{24,26,0},{0,26,36},{31,23,18},{0,26,36},{24,0,36},{24,0,36},{24,0,36},{24,0,36},{24,26,1},{24,26,1},{24,26,1},{24,25,1},{23,26,2},{23,26,2},{25,30,54},{25,28,40},{25,27,61},{25,27,36},{25,29,51},{25,27,37},{25,27,1},
{25,27,52},{23,28,60},{24,27,40},{26,28,22},{26,27,13},{26,27,4},{26,27,13},{29,21,51},{24,28,29},{25,27,1},{23,27,37},{31,24,51},{23,27,37},{25,29,37},{25,29,37},{25,29,37},{25,27,36},{25,28,8},{25,27,1},{25,27,1},{25,26,5},{24,27,8},{25,26,9},{26,27,4},{26,27,4},{26,27,4},{26,26,8},{31,16,8},{25,27,1},{25,27,1},{25,26,5},{30,24,8},
{25,26,5},{31,18,18},{25,28,4},{26,27,0},{25,27,0},{31,18,18},{30,25,18},{25,27,0},{0,27,36},{30,25,18},{0,27,36},{25,0,36},{25,0,36},{25,0,36},{25,0,36},{25,27,1},{25,27,1},{25,27,1},{25,26,1},{24,27,4},{24,27,4},{26,31,54},{26,29,40},{26,28,62},{26,28,38},{26,30,51},{26,28,27},{26,28,3},{26,27,69},{24,29,60},{25,28,54},{27,29,22},
{27,28,9},{27,28,6},{27,28,21},{31,20,51},{26,28,27},{26,28,3},{24,28,50},{30,26,51},{24,28,50},{26,30,37},{26,30,37},{26,30,37},{26,28,37},{26,29,8},{26,28,2},{26,28,2},{26,27,5},{25,28,8},{26,27,9},{27,28,5},{27,28,5},{27,28,5},{27,27,8},{31,19,8},{26,28,2},{26,28,2},{26,27,5},{31,25,8},{26,27,5},{31,21,18},{26,29,4},{27,28,2},
{26,28,2},{31,21,18},{31,26,18},{26,28,2},{0,28,50},{31,26,18},{0,28,50},{26,0,36},{26,0,36},{26,0,36},{26,0,36},{26,28,1},{26,28,1},{26,28,1},{26,27,1},{25,28,4},{25,28,4},{28,30,86},{27,30,60},{28,29,68},{27,29,50},{27,31,53},{27,30,28},{27,29,5},{27,29,53},{27,29,68},{26,29,38},{28,30,22},{28,29,13},{28,29,4},{28,29,13},{31,23,52},
{27,30,27},{27,29,4},{25,29,37},{31,27,52},{25,29,37},{27,31,50},{27,31,50},{27,31,50},{27,29,50},{27,30,11},{27,29,5},{27,29,5},{27,28,6},{26,29,11},{27,28,9},{28,29,4},{28,29,4},{28,29,4},{28,28,8},{28,28,8},{27,29,4},{27,29,4},{27,28,5},{28,28,8},{27,28,5},{31,24,18},{28,29,9},{28,29,0},{27,29,0},{31,24,18},{30,28,18},{27,29,0},
{0,29,36},{30,28,18},{0,29,36},{27,0,50},{27,0,50},{27,0,50},{27,0,50},{27,30,2},{27,30,2},{27,30,2},{27,28,2},{26,29,2},{26,29,2},{29,31,86},{28,31,40},{28,30,61},{28,30,36},{28,31,72},{28,30,37},{28,30,1},{28,30,52},{26,31,68},{27,30,38},{29,31,22},{29,30,13},{29,30,4},{29,30,13},{31,26,52},{29,30,34},{28,30,1},{26,30,37},{30,29,52},
{26,30,37},{28,31,40},{28,31,40},{28,31,40},{28,30,36},{28,31,8},{28,30,1},{28,30,1},{28,29,5},{27,30,11},{28,29,9},{29,30,4},{29,30,4},{29,30,4},{29,29,8},{29,29,8},{28,30,1},{28,30,1},{28,29,5},{31,28,8},{28,29,5},{31,27,18},{28,31,4},{29,30,0},{28,30,0},{31,27,18},{31,29,18},{28,30,0},{0,30,36},{31,29,18},{0,30,36},{28,0,36},
{28,0,36},{28,0,36},{28,0,36},{28,30,1},{28,30,1},{28,30,1},{28,29,1},{27,30,2},{27,30,2},{30,31,104},{30,31,77},{29,31,61},{29,31,36},{30,31,116},{29,31,37},{29,31,1},{29,31,52},{28,31,72},{28,31,40},{30,31,40},{30,31,13},{30,31,4},{30,31,13},{31,29,52},{30,31,34},{29,31,1},{27,31,37},{31,30,52},{27,31,37},{29,31,61},{29,31,61},{29,31,61},
{29,31,36},{29,31,26},{29,31,1},{29,31,1},{29,30,5},{28,31,8},{29,30,9},{30,31,4},{30,31,4},{30,31,4},{30,30,8},{31,28,8},{29,31,1},{29,31,1},{29,30,5},{30,30,8},{29,30,5},{31,30,18},{30,31,9},{30,31,0},{29,31,0},{31,30,18},{30,31,18},{29,31,0},{0,31,36},{30,31,18},{0,31,36},{29,0,36},{29,0,36},{29,0,36},{29,0,36},{29,31,1},
{29,31,1},{29,31,1},{29,30,1},{28,31,4},{28,31,4},{31,31,68},{31,31,68},{31,31,68},{30,31,45},{31,31,68},{30,31,34},{30,31,25},{30,31,1},{30,31,23},{30,31,5},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{30,31,1},{31,31,68},{31,31,68},{31,31,68},{30,31,45},{30,31,52},{30,31,25},{30,31,25},
{30,31,1},{30,31,14},{30,31,5},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{30,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{30,0,36},{30,0,36},{30,0,36},{30,0,36},{30,31,16},{30,31,16},{30,31,16},{30,31,1},{30,31,5},
{30,31,5},{0,4,72},{0,3,10},{0,2,1},{0,2,26},{0,3,154},{0,2,99},{0,2,51},{0,1,115},{0,1,173},{0,1,119},{0,4,72},{0,3,10},{0,2,1},{0,2,26},{1,1,154},{0,2,99},{0,2,51},{0,1,115},{3,0,154},{0,1,115},{0,2,0},{0,2,0},{0,2,0},{0,1,0},{0,1,13},{0,1,4},{0,1,4},{0,0,25},{0,0,25},{0,0,25},{0,2,0},
{0,2,0},{0,2,0},{0,1,0},{0,1,13},{0,1,4},{0,1,4},{0,0,25},{1,0,13},{0,0,25},{0,4,72},{0,3,10},{0,2,1},{0,2,26},{0,4,72},{4,0,72},{0,2,26},{0,1,90},{4,0,72},{0,1,90},{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},{0,7,81},{0,5,13},{0,3,35},
{0,3,19},{0,5,244},{0,3,115},{0,3,35},{0,2,139},{0,2,308},{0,2,164},{0,7,81},{0,5,13},{1,3,26},{0,3,19},{2,1,244},{0,3,115},{0,3,35},{0,2,139},{5,0,244},{0,2,139},{0,5,9},{0,5,9},{0,5,9},{0,2,18},{0,3,50},{0,2,13},{0,2,13},{0,1,29},{0,1,72},{0,1,33},{0,5,9},{0,5,9},{0,5,9},{0,2,18},{1,1,50},
{0,2,13},{0,2,13},{0,1,29},{3,0,50},{0,1,29},{1,5,72},{0,5,4},{1,3,1},{0,3,10},{1,5,72},{7,0,72},{0,3,10},{0,2,90},{7,0,72},{0,2,90},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,1},{0,1,1},{0,1,1},{0,1,4},{0,1,8},{0,1,8},{1,8,145},{1,6,77},{1,4,98},{1,4,82},{0,8,243},{0,5,76},{0,4,1},
{0,3,115},{0,4,364},{0,3,179},{1,8,81},{1,6,13},{2,4,25},{1,4,18},{4,0,243},{0,5,76},{0,4,1},{0,3,115},{8,0,243},{0,3,115},{1,6,73},{1,6,73},{1,6,73},{1,3,82},{0,6,50},{0,4,1},{0,4,1},{0,2,26},{0,3,114},{0,2,51},{1,6,9},{1,6,9},{1,6,9},{1,3,18},{3,0,50},{0,4,1},{0,4,1},{0,2,26},{6,0,50},
{0,2,26},{5,0,72},{1,6,4},{2,4,0},{0,4,1},{5,0,72},{10,0,72},{0,4,1},{0,3,90},{10,0,72},{0,3,90},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,4,0},{0,4,0},{0,4,0},{0,2,1},{0,2,26},{0,2,26},{2,9,162},{2,7,94},{2,5,115},{2,5,99},{1,9,244},{1,6,77},{1,5,2},{1,4,106},{0,5,300},{0,4,105},{2,9,81},
{2,7,13},{3,5,25},{2,5,18},{5,1,243},{1,6,76},{1,5,1},{0,4,89},{11,0,243},{0,4,89},{2,7,90},{2,7,90},{2,7,90},{2,4,94},{1,7,51},{1,5,2},{1,5,2},{1,3,27},{0,4,74},{0,3,35},{2,7,9},{2,7,9},{2,7,9},{2,4,13},{4,1,50},{1,5,1},{1,5,1},{0,4,25},{9,0,50},{0,4,25},{6,1,72},{2,7,4},{3,5,0},
{1,5,1},{6,1,72},{13,0,72},{1,5,1},{0,4,80},{13,0,72},{0,4,80},{2,0,90},{2,0,90},{2,0,90},{2,0,90},{1,5,1},{1,5,1},{1,5,1},{1,3,2},{0,3,10},{0,3,10},{3,10,154},{3,8,84},{3,6,117},{3,6,85},{2,10,244},{2,7,75},{2,6,2},{2,5,106},{0,7,253},{0,5,100},{3,10,90},{3,8,20},{4,6,26},{3,6,21},{7,0,244},
{2,7,75},{2,6,2},{0,5,91},{14,0,244},{0,5,91},{3,8,80},{3,8,80},{3,8,80},{3,6,84},{2,8,52},{2,6,1},{2,6,1},{2,5,25},{0,6,52},{0,5,19},{3,8,16},{3,8,16},{3,8,16},{3,6,20},{4,4,50},{2,6,1},{2,6,1},{0,5,10},{12,0,50},{0,5,10},{8,0,72},{3,8,4},{4,6,1},{2,6,1},{8,0,72},{16,0,72},{2,6,1},
{0,5,90},{16,0,72},{0,5,90},{3,0,80},{3,0,80},{3,0,80},{3,0,80},{2,6,1},{2,6,1},{2,6,1},{2,4,1},{0,5,10},{0,5,10},{4,11,162},{4,9,94},{4,7,116},{4,7,100},{3,11,244},{3,8,76},{3,7,2},{3,6,106},{1,8,253},{1,6,100},{4,11,81},{4,9,13},{5,7,26},{4,7,19},{8,1,244},{3,8,76},{3,7,2},{1,6,91},{17,0,244},
{1,6,91},{4,9,90},{4,9,90},{4,9,90},{4,6,99},{3,9,52},{3,7,1},{3,7,1},{3,6,25},{1,7,52},{1,6,19},{4,9,9},{4,9,9},{4,9,9},{4,6,18},{5,5,50},{3,7,1},{3,7,1},{1,6,10},{15,0,50},{1,6,10},{9,1,72},{4,9,4},{5,7,1},{3,7,1},{9,1,72},{19,0,72},{3,7,1},{0,6,90},{19,0,72},{0,6,90},{4,0,90},
{4,0,90},{4,0,90},{4,0,90},{3,7,1},{3,7,1},{3,7,1},{3,5,1},{1,6,10},{1,6,10},{5,12,162},{5,10,94},{5,8,115},{5,8,99},{4,12,244},{4,9,77},{4,8,2},{4,7,116},{2,9,253},{2,7,100},{5,12,81},{5,10,13},{6,8,25},{5,8,18},{8,4,243},{4,9,76},{4,8,1},{2,7,91},{20,0,243},{2,7,91},{5,10,90},{5,10,90},{5,10,90},
{5,7,99},{4,10,51},{4,8,2},{4,8,2},{4,6,27},{2,8,50},{2,7,19},{5,10,9},{5,10,9},{5,10,9},{5,7,18},{9,0,50},{4,8,1},{4,8,1},{2,7,10},{18,0,50},{2,7,10},{11,0,72},{5,10,4},{6,8,0},{4,8,1},{11,0,72},{22,0,72},{4,8,1},{0,7,90},{22,0,72},{0,7,90},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{4,8,1},
{4,8,1},{4,8,1},{4,6,2},{2,7,10},{2,7,10},{6,13,162},{6,11,94},{6,9,115},{6,9,99},{5,13,244},{5,10,77},{5,9,2},{5,8,106},{3,10,253},{3,8,84},{6,13,81},{6,11,13},{7,9,25},{6,9,18},{9,5,243},{5,10,76},{5,9,1},{3,8,80},{23,0,243},{3,8,80},{6,11,90},{6,11,90},{6,11,90},{6,8,94},{5,11,51},{5,9,2},{5,9,2},
{5,7,27},{3,9,50},{3,8,20},{6,11,9},{6,11,9},{6,11,9},{6,8,13},{10,1,50},{5,9,1},{5,9,1},{3,8,16},{21,0,50},{3,8,16},{12,1,72},{6,11,4},{7,9,0},{5,9,1},{12,1,72},{25,0,72},{5,9,1},{0,8,80},{25,0,72},{0,8,80},{6,0,90},{6,0,90},{6,0,90},{6,0,90},{5,9,1},{5,9,1},{5,9,1},{5,7,2},{3,8,4},
{3,8,4},{7,14,154},{7,12,84},{7,10,117},{7,10,85},{6,14,244},{6,11,75},{6,10,2},{6,9,106},{4,11,253},{4,9,100},{7,14,90},{7,12,20},{8,10,26},{7,10,21},{13,0,244},{6,11,75},{6,10,2},{4,9,91},{26,0,244},{4,9,91},{7,12,80},{7,12,80},{7,12,80},{7,10,84},{6,12,52},{6,10,1},{6,10,1},{6,9,25},{4,10,52},{4,9,19},{7,12,16},
{7,12,16},{7,12,16},{7,10,20},{12,0,50},{6,10,1},{6,10,1},{4,9,10},{24,0,50},{4,9,10},{12,4,72},{7,12,4},{8,10,1},{6,10,1},{12,4,72},{28,0,72},{6,10,1},{0,9,90},{28,0,72},{0,9,90},{7,0,80},{7,0,80},{7,0,80},{7,0,80},{6,10,1},{6,10,1},{6,10,1},{6,8,1},{4,9,10},{4,9,10},{8,15,162},{8,13,94},{8,11,116},
{8,11,100},{7,15,244},{7,12,76},{7,11,2},{7,10,106},{5,12,253},{5,10,100},{8,15,81},{8,13,13},{9,11,26},{8,11,19},{14,1,244},{7,12,76},{7,11,2},{5,10,91},{29,0,244},{5,10,91},{8,13,90},{8,13,90},{8,13,90},{8,10,99},{7,13,52},{7,11,1},{7,11,1},{7,10,25},{5,11,52},{5,10,19},{8,13,9},{8,13,9},{8,13,9},{8,10,18},{13,1,50},
{7,11,1},{7,11,1},{5,10,10},{27,0,50},{5,10,10},{13,5,72},{8,13,4},{9,11,1},{7,11,1},{13,5,72},{31,0,72},{7,11,1},{0,10,90},{31,0,72},{0,10,90},{8,0,90},{8,0,90},{8,0,90},{8,0,90},{7,11,1},{7,11,1},{7,11,1},{7,9,1},{5,10,10},{5,10,10},{9,16,162},{9,14,94},{9,12,115},{9,12,99},{8,16,244},{8,13,77},{8,12,2},
{8,11,116},{6,13,253},{6,11,100},{9,16,81},{9,14,13},{10,12,25},{9,12,18},{16,0,243},{8,13,76},{8,12,1},{6,11,91},{24,4,243},{6,11,91},{9,14,90},{9,14,90},{9,14,90},{9,11,99},{8,14,51},{8,12,2},{8,12,2},{8,10,27},{6,12,50},{6,11,19},{9,14,9},{9,14,9},{9,14,9},{9,11,18},{15,0,50},{8,12,1},{8,12,1},{6,11,10},{30,0,50},
{6,11,10},{17,0,72},{9,14,4},{10,12,0},{8,12,1},{17,0,72},{30,2,72},{8,12,1},{0,11,90},{30,2,72},{0,11,90},{9,0,90},{9,0,90},{9,0,90},{9,0,90},{8,12,1},{8,12,1},{8,12,1},{8,10,2},{6,11,10},{6,11,10},{10,17,162},{10,15,94},{10,13,115},{10,13,99},{9,17,244},{9,14,77},{9,13,2},{9,12,106},{7,14,253},{7,12,84},{10,17,81},
{10,15,13},{11,13,25},{10,13,18},{17,1,243},{9,14,76},{9,13,1},{7,12,80},{27,4,243},{7,12,80},{10,15,90},{10,15,90},{10,15,90},{10,12,94},{9,15,51},{9,13,2},{9,13,2},{9,11,27},{7,13,50},{7,12,20},{10,15,9},{10,15,9},{10,15,9},{10,12,13},{16,1,50},{9,13,1},{9,13,1},{7,12,16},{31,1,50},{7,12,16},{18,1,72},{10,15,4},{11,13,0},
{9,13,1},{18,1,72},{31,3,72},{9,13,1},{0,12,80},{31,3,72},{0,12,80},{10,0,90},{10,0,90},{10,0,90},{10,0,90},{9,13,1},{9,13,1},{9,13,1},{9,11,2},{7,12,4},{7,12,4},{11,18,154},{11,16,84},{11,14,117},{11,14,85},{10,18,244},{10,15,75},{10,14,2},{10,13,106},{8,15,253},{8,13,100},{11,18,90},{11,16,20},{12,14,26},{11,14,21},{19,0,244},
{10,15,75},{10,14,2},{8,13,91},{30,4,244},{8,13,91},{11,16,80},{11,16,80},{11,16,80},{11,14,84},{10,16,52},{10,14,1},{10,14,1},{10,13,25},{8,14,52},{8,13,19},{11,16,16},{11,16,16},{11,16,16},{11,14,20},{16,4,50},{10,14,1},{10,14,1},{8,13,10},{28,4,50},{8,13,10},{20,0,72},{11,16,4},{12,14,1},{10,14,1},{20,0,72},{24,8,72},{10,14,1},
{0,13,90},{24,8,72},{0,13,90},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{10,14,1},{10,14,1},{10,14,1},{10,12,1},{8,13,10},{8,13,10},{12,19,162},{12,17,94},{12,15,116},{12,15,100},{11,19,244},{11,16,76},{11,15,2},{11,14,106},{9,16,253},{9,14,100},{12,19,81},{12,17,13},{13,15,26},{12,15,19},{20,1,244},{11,16,76},{11,15,2},{9,14,91},{31,5,244},
{9,14,91},{12,17,90},{12,17,90},{12,17,90},{12,14,99},{11,17,52},{11,15,1},{11,15,1},{11,14,25},{9,15,52},{9,14,19},{12,17,9},{12,17,9},{12,17,9},{12,14,18},{17,5,50},{11,15,1},{11,15,1},{9,14,10},{31,4,50},{9,14,10},{21,1,72},{12,17,4},{13,15,1},{11,15,1},{21,1,72},{27,8,72},{11,15,1},{0,14,90},{27,8,72},{0,14,90},{12,0,90},
{12,0,90},{12,0,90},{12,0,90},{11,15,1},{11,15,1},{11,15,1},{11,13,1},{9,14,10},{9,14,10},{13,20,162},{13,18,94},{13,16,115},{13,16,99},{12,20,244},{12,17,77},{12,16,2},{12,15,116},{10,17,253},{10,15,100},{13,20,81},{13,18,13},{14,16,25},{13,16,18},{20,4,243},{12,17,76},{12,16,1},{10,15,91},{28,8,243},{10,15,91},{13,18,90},{13,18,90},{13,18,90},
{13,15,99},{12,18,51},{12,16,2},{12,16,2},{12,14,27},{10,16,50},{10,15,19},{13,18,9},{13,18,9},{13,18,9},{13,15,18},{21,0,50},{12,16,1},{12,16,1},{10,15,10},{30,6,50},{10,15,10},{23,0,72},{13,18,4},{14,16,0},{12,16,1},{23,0,72},{30,8,72},{12,16,1},{0,15,90},{30,8,72},{0,15,90},{13,0,90},{13,0,90},{13,0,90},{13,0,90},{12,16,1},
{12,16,1},{12,16,1},{12,14,2},{10,15,10},{10,15,10},{14,21,162},{14,19,94},{14,17,115},{14,17,99},{13,21,244},{13,18,77},{13,17,2},{13,16,106},{11,18,253},{11,16,84},{14,21,81},{14,19,13},{15,17,25},{14,17,18},{21,5,243},{13,18,76},{13,17,1},{11,16,80},{31,8,243},{11,16,80},{14,19,90},{14,19,90},{14,19,90},{14,16,94},{13,19,51},{13,17,2},{13,17,2},
{13,15,27},{11,17,50},{11,16,20},{14,19,9},{14,19,9},{14,19,9},{14,16,13},{22,1,50},{13,17,1},{13,17,1},{11,16,16},{31,7,50},{11,16,16},{24,1,72},{14,19,4},{15,17,0},{13,17,1},{24,1,72},{31,9,72},{13,17,1},{0,16,80},{31,9,72},{0,16,80},{14,0,90},{14,0,90},{14,0,90},{14,0,90},{13,17,1},{13,17,1},{13,17,1},{13,15,2},{11,16,4},
{11,16,4},{15,22,154},{15,20,84},{15,18,117},{15,18,85},{14,22,244},{14,19,75},{14,18,2},{14,17,106},{12,19,253},{12,17,100},{15,22,90},{15,20,20},{16,18,26},{15,18,21},{25,0,244},{14,19,75},{14,18,2},{12,17,91},{30,10,244},{12,17,91},{15,20,80},{15,20,80},{15,20,80},{15,18,84},{14,20,52},{14,18,1},{14,18,1},{14,17,25},{12,18,52},{12,17,19},{15,20,16},
{15,20,16},{15,20,16},{15,18,20},{24,0,50},{14,18,1},{14,18,1},{12,17,10},{24,12,50},{12,17,10},{24,4,72},{15,20,4},{16,18,1},{14,18,1},{24,4,72},{28,12,72},{14,18,1},{0,17,90},{28,12,72},{0,17,90},{15,0,80},{15,0,80},{15,0,80},{15,0,80},{14,18,1},{14,18,1},{14,18,1},{14,16,1},{12,17,10},{12,17,10},{16,23,162},{16,21,94},{16,19,116},
{16,19,100},{15,23,244},{15,20,76},{15,19,2},{15,18,106},{13,20,253},{13,18,100},{16,23,81},{16,21,13},{17,19,26},{16,19,19},{26,1,244},{15,20,76},{15,19,2},{13,18,91},{31,11,244},{13,18,91},{16,21,90},{16,21,90},{16,21,90},{16,18,99},{15,21,52},{15,19,1},{15,19,1},{15,18,25},{13,19,52},{13,18,19},{16,21,9},{16,21,9},{16,21,9},{16,18,18},{25,1,50},
{15,19,1},{15,19,1},{13,18,10},{27,12,50},{13,18,10},{25,5,72},{16,21,4},{17,19,1},{15,19,1},{25,5,72},{31,12,72},{15,19,1},{0,18,90},{31,12,72},{0,18,90},{16,0,90},{16,0,90},{16,0,90},{16,0,90},{15,19,1},{15,19,1},{15,19,1},{15,17,1},{13,18,10},{13,18,10},{17,24,162},{17,22,94},{17,20,115},{17,20,99},{16,24,244},{16,21,77},{16,20,2},
{16,19,116},{14,21,253},{14,19,100},{17,24,81},{17,22,13},{18,20,25},{17,20,18},{28,0,243},{16,21,76},{16,20,1},{14,19,91},{24,16,243},{14,19,91},{17,22,90},{17,22,90},{17,22,90},{17,19,99},{16,22,51},{16,20,2},{16,20,2},{16,18,27},{14,20,50},{14,19,19},{17,22,9},{17,22,9},{17,22,9},{17,19,18},{27,0,50},{16,20,1},{16,20,1},{14,19,10},{30,12,50},
{14,19,10},{29,0,72},{17,22,4},{18,20,0},{16,20,1},{29,0,72},{30,14,72},{16,20,1},{0,19,90},{30,14,72},{0,19,90},{17,0,90},{17,0,90},{17,0,90},{17,0,90},{16,20,1},{16,20,1},{16,20,1},{16,18,2},{14,19,10},{14,19,10},{18,25,162},{18,23,94},{18,21,115},{18,21,99},{17,25,244},{17,22,77},{17,21,2},{17,20,106},{15,22,253},{15,20,84},{18,25,81},
{18,23,13},{19,21,25},{18,21,18},{29,1,243},{17,22,76},{17,21,1},{15,20,80},{27,16,243},{15,20,80},{18,23,90},{18,23,90},{18,23,90},{18,20,94},{17,23,51},{17,21,2},{17,21,2},{17,19,27},{15,21,50},{15,20,20},{18,23,9},{18,23,9},{18,23,9},{18,20,13},{28,1,50},{17,21,1},{17,21,1},{15,20,16},{31,13,50},{15,20,16},{30,1,72},{18,23,4},{19,21,0},
{17,21,1},{30,1,72},{31,15,72},{17,21,1},{0,20,80},{31,15,72},{0,20,80},{18,0,90},{18,0,90},{18,0,90},{18,0,90},{17,21,1},{17,21,1},{17,21,1},{17,19,2},{15,20,4},{15,20,4},{19,26,154},{19,24,84},{19,22,117},{19,22,85},{18,26,244},{18,23,75},{18,22,2},{18,21,106},{16,23,253},{16,21,100},{19,26,90},{19,24,20},{20,22,26},{19,22,21},{31,0,244},
{18,23,75},{18,22,2},{16,21,91},{30,16,244},{16,21,91},{19,24,80},{19,24,80},{19,24,80},{19,22,84},{18,24,52},{18,22,1},{18,22,1},{18,21,25},{16,22,52},{16,21,19},{19,24,16},{19,24,16},{19,24,16},{19,22,20},{28,4,50},{18,22,1},{18,22,1},{16,21,10},{28,16,50},{16,21,10},{28,8,72},{19,24,4},{20,22,1},{18,22,1},{28,8,72},{24,20,72},{18,22,1},
{0,21,90},{24,20,72},{0,21,90},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{18,22,1},{18,22,1},{18,22,1},{18,20,1},{16,21,10},{16,21,10},{20,27,162},{20,25,94},{20,23,116},{20,23,100},{19,27,244},{19,24,76},{19,23,2},{19,22,106},{17,24,253},{17,22,100},{20,27,81},{20,25,13},{21,23,26},{20,23,19},{31,3,244},{19,24,76},{19,23,2},{17,22,91},{31,17,244},
{17,22,91},{20,25,90},{20,25,90},{20,25,90},{20,22,99},{19,25,52},{19,23,1},{19,23,1},{19,22,25},{17,23,52},{17,22,19},{20,25,9},{20,25,9},{20,25,9},{20,22,18},{29,5,50},{19,23,1},{19,23,1},{17,22,10},{31,16,50},{17,22,10},{29,9,72},{20,25,4},{21,23,1},{19,23,1},{29,9,72},{27,20,72},{19,23,1},{0,22,90},{27,20,72},{0,22,90},{20,0,90},
{20,0,90},{20,0,90},{20,0,90},{19,23,1},{19,23,1},{19,23,1},{19,21,1},{17,22,10},{17,22,10},{21,28,162},{21,26,94},{21,24,115},{21,24,99},{20,28,244},{20,25,77},{20,24,2},{20,23,116},{18,25,253},{18,23,100},{21,28,81},{21,26,13},{22,24,25},{21,24,18},{28,12,243},{20,25,76},{20,24,1},{18,23,91},{28,20,243},{18,23,91},{21,26,90},{21,26,90},{21,26,90},
{21,23,99},{20,26,51},{20,24,2},{20,24,2},{20,22,27},{18,24,50},{18,23,19},{21,26,9},{21,26,9},{21,26,9},{21,23,18},{31,4,50},{20,24,1},{20,24,1},{18,23,10},{30,18,50},{18,23,10},{31,8,72},{21,26,4},{22,24,0},{20,24,1},{31,8,72},{30,20,72},{20,24,1},{0,23,90},{30,20,72},{0,23,90},{21,0,90},{21,0,90},{21,0,90},{21,0,90},{20,24,1},
{20,24,1},{20,24,1},{20,22,2},{18,23,10},{18,23,10},{22,29,162},{22,27,94},{22,25,115},{22,25,99},{21,29,244},{21,26,77},{21,25,2},{21,24,106},{19,26,253},{19,24,84},{22,29,81},{22,27,13},{23,25,25},{22,25,18},{29,13,243},{21,26,76},{21,25,1},{19,24,80},{31,20,243},{19,24,80},{22,27,90},{22,27,90},{22,27,90},{22,24,94},{21,27,51},{21,25,2},{21,25,2},
{21,23,27},{19,25,50},{19,24,20},{22,27,9},{22,27,9},{22,27,9},{22,24,13},{31,7,50},{21,25,1},{21,25,1},{19,24,16},{31,19,50},{19,24,16},{31,11,72},{22,27,4},{23,25,0},{21,25,1},{31,11,72},{31,21,72},{21,25,1},{0,24,80},{31,21,72},{0,24,80},{22,0,90},{22,0,90},{22,0,90},{22,0,90},{21,25,1},{21,25,1},{21,25,1},{21,23,2},{19,24,4},
{19,24,4},{23,30,154},{23,28,84},{23,26,117},{23,26,85},{22,30,244},{22,27,75},{22,26,2},{22,25,106},{20,27,253},{20,25,100},{23,30,90},{23,28,20},{24,26,26},{23,26,21},{31,12,244},{22,27,75},{22,26,2},{20,25,91},{30,22,244},{20,25,91},{23,28,80},{23,28,80},{23,28,80},{23,26,84},{22,28,52},{22,26,1},{22,26,1},{22,25,25},{20,26,52},{20,25,19},{23,28,16},
{23,28,16},{23,28,16},{23,26,20},{28,16,50},{22,26,1},{22,26,1},{20,25,10},{24,24,50},{20,25,10},{28,20,72},{23,28,4},{24,26,1},{22,26,1},{28,20,72},{28,24,72},{22,26,1},{0,25,90},{28,24,72},{0,25,90},{23,0,80},{23,0,80},{23,0,80},{23,0,80},{22,26,1},{22,26,1},{22,26,1},{22,24,1},{20,25,10},{20,25,10},{24,31,162},{24,29,94},{24,27,116},
{24,27,100},{23,31,244},{23,28,76},{23,27,2},{23,26,106},{21,28,253},{21,26,100},{24,31,81},{24,29,13},{25,27,26},{24,27,19},{31,15,244},{23,28,76},{23,27,2},{21,26,91},{31,23,244},{21,26,91},{24,29,90},{24,29,90},{24,29,90},{24,26,99},{23,29,52},{23,27,1},{23,27,1},{23,26,25},{21,27,52},{21,26,19},{24,29,9},{24,29,9},{24,29,9},{24,26,18},{29,17,50},
{23,27,1},{23,27,1},{21,26,10},{27,24,50},{21,26,10},{29,21,72},{24,29,4},{25,27,1},{23,27,1},{29,21,72},{31,24,72},{23,27,1},{0,26,90},{31,24,72},{0,26,90},{24,0,90},{24,0,90},{24,0,90},{24,0,90},{23,27,1},{23,27,1},{23,27,1},{23,25,1},{21,26,10},{21,26,10},{25,31,180},{25,30,94},{25,28,115},{25,28,99},{24,31,265},{24,29,77},{24,28,2},
{24,27,116},{22,29,253},{22,27,100},{26,30,97},{25,30,13},{26,28,25},{25,28,18},{28,24,243},{24,29,76},{24,28,1},{22,27,91},{24,28,243},{22,27,91},{25,30,90},{25,30,90},{25,30,90},{25,27,99},{24,30,51},{24,28,2},{24,28,2},{24,26,27},{22,28,50},{22,27,19},{25,30,9},{25,30,9},{25,30,9},{25,27,18},{31,16,50},{24,28,1},{24,28,1},{22,27,10},{30,24,50},
{22,27,10},{31,20,72},{25,30,4},{26,28,0},{24,28,1},{31,20,72},{30,26,72},{24,28,1},{0,27,90},{30,26,72},{0,27,90},{25,0,90},{25,0,90},{25,0,90},{25,0,90},{24,28,1},{24,28,1},{24,28,1},{24,26,2},{22,27,10},{22,27,10},{26,31,234},{26,31,94},{26,29,115},{26,29,99},{26,31,325},{25,30,77},{25,29,2},{25,28,106},{23,30,253},{23,28,84},{27,31,97},
{26,31,13},{27,29,25},{26,29,18},{29,25,243},{25,30,76},{25,29,1},{23,28,80},{27,28,243},{23,28,80},{26,31,90},{26,31,90},{26,31,90},{26,28,94},{25,31,51},{25,29,2},{25,29,2},{25,27,27},{23,29,50},{23,28,20},{26,31,9},{26,31,9},{26,31,9},{26,28,13},{31,19,50},{25,29,1},{25,29,1},{23,28,16},{31,25,50},{23,28,16},{31,23,72},{26,31,4},{27,29,0},
{25,29,1},{31,23,72},{31,27,72},{25,29,1},{0,28,80},{31,27,72},{0,28,80},{26,0,90},{26,0,90},{26,0,90},{26,0,90},{25,29,1},{25,29,1},{25,29,1},{25,27,2},{23,28,4},{23,28,4},{27,31,314},{27,31,105},{27,30,117},{27,30,85},{27,31,347},{26,31,75},{26,30,2},{26,29,106},{24,31,253},{24,29,100},{28,31,115},{28,31,35},{28,30,26},{27,30,21},{31,24,244},
{26,31,75},{26,30,2},{24,29,91},{30,28,244},{24,29,91},{27,31,89},{27,31,89},{27,31,89},{27,30,84},{26,31,82},{26,30,1},{26,30,1},{26,29,25},{24,30,52},{24,29,19},{28,30,25},{28,30,25},{28,30,25},{27,30,20},{28,28,50},{26,30,1},{26,30,1},{24,29,10},{28,28,50},{24,29,10},{31,26,74},{28,31,10},{28,30,1},{26,30,1},{31,26,74},{30,29,74},{26,30,1},
{0,29,90},{30,29,74},{0,29,90},{27,0,80},{27,0,80},{27,0,80},{27,0,80},{26,30,1},{26,30,1},{26,30,1},{26,28,1},{24,29,10},{24,29,10},{28,31,371},{28,31,179},{28,31,115},{28,31,99},{28,31,387},{27,31,122},{27,31,1},{27,30,89},{26,31,279},{25,30,83},{29,31,146},{29,31,61},{29,31,25},{28,31,18},{31,27,221},{28,31,98},{27,31,1},{25,30,74},{31,29,221},
{25,30,74},{28,31,115},{28,31,115},{28,31,115},{28,30,99},{27,31,122},{27,31,1},{27,31,1},{27,30,25},{25,31,52},{25,30,19},{29,31,25},{29,31,25},{29,31,25},{28,30,18},{29,29,50},{27,31,1},{27,31,1},{25,30,10},{31,28,50},{25,30,10},{31,29,61},{30,31,34},{29,31,0},{27,31,0},{31,29,61},{31,30,61},{27,31,0},{0,30,73},{31,30,61},{0,30,73},{28,0,90},
{28,0,90},{28,0,90},{28,0,90},{27,31,1},{27,31,1},{27,31,1},{27,29,1},{25,30,10},{25,30,10},{29,31,275},{29,31,190},{29,31,154},{29,31,99},{29,31,270},{28,31,99},{28,31,35},{28,31,35},{28,31,195},{26,31,19},{30,31,70},{30,31,43},{30,31,34},{29,31,18},{31,29,94},{29,31,49},{29,31,13},{26,31,10},{31,30,94},{26,31,10},{29,31,154},{29,31,154},{29,31,154},
{29,31,99},{29,31,149},{28,31,35},{28,31,35},{28,30,27},{27,31,77},{26,31,19},{30,31,34},{30,31,34},{30,31,34},{29,31,18},{31,28,50},{29,31,13},{29,31,13},{26,31,10},{30,30,50},{26,31,10},{31,30,9},{31,31,9},{30,31,9},{30,31,0},{31,30,9},{30,31,9},{30,31,0},{0,31,9},{30,31,9},{0,31,9},{29,0,90},{29,0,90},{29,0,90},{29,0,90},{28,31,10},
{28,31,10},{28,31,10},{28,30,2},{26,31,10},{26,31,10},{30,31,162},{30,31,135},{30,31,126},{30,31,99},{30,31,154},{30,31,100},{29,31,73},{29,31,2},{29,31,109},{28,31,10},{31,31,25},{31,31,25},{31,31,25},{30,31,18},{31,30,22},{30,31,19},{30,31,10},{29,31,1},{30,31,22},{29,31,1},{30,31,126},{30,31,126},{30,31,126},{30,31,99},{30,31,118},{29,31,73},{29,31,73},
{29,31,2},{29,31,73},{28,31,10},{31,31,25},{31,31,25},{31,31,25},{30,31,18},{31,30,13},{30,31,10},{30,31,10},{29,31,1},{30,31,13},{29,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{30,0,90},{30,0,90},{30,0,90},{30,0,90},{29,31,37},{29,31,37},{29,31,37},{29,31,2},{28,31,10},
{28,31,10},{0,7,200},{0,5,20},{0,4,20},{0,3,74},{0,5,441},{0,3,282},{0,3,138},{0,2,318},{0,2,487},{0,2,343},{0,7,200},{0,5,20},{0,4,20},{0,3,74},{2,1,441},{0,3,282},{0,3,138},{0,2,318},{5,0,441},{0,2,318},{0,3,1},{0,3,1},{0,3,1},{0,2,1},{0,2,41},{0,1,20},{0,1,20},{0,1,26},{0,1,45},{0,1,30},{0,3,1},
{0,3,1},{0,3,1},{0,2,1},{1,0,41},{0,1,20},{0,1,20},{0,1,26},{2,0,41},{0,1,26},{1,5,200},{0,5,20},{0,4,20},{0,3,74},{1,5,200},{7,0,200},{0,3,74},{0,2,218},{7,0,200},{0,2,218},{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},{0,10,200},{0,7,5},{0,5,32},
{0,4,41},{0,7,689},{0,5,369},{0,4,162},{0,3,474},{0,3,762},{0,3,538},{0,10,200},{0,7,5},{0,5,32},{0,4,41},{3,1,686},{0,5,369},{0,4,162},{0,3,474},{3,2,686},{0,3,474},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{0,3,145},{0,3,65},{0,3,65},{0,2,101},{0,1,173},{0,1,110},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{1,1,145},
{0,3,65},{0,3,65},{0,2,101},{3,0,145},{0,2,101},{5,0,200},{0,7,5},{1,4,17},{0,4,41},{5,0,200},{10,0,200},{0,4,41},{0,3,218},{10,0,200},{0,3,218},{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},{0,13,249},{0,8,59},{1,6,97},{0,5,69},{0,10,728},{0,6,299},{0,5,56},
{0,4,433},{0,4,884},{0,4,554},{1,11,201},{1,8,6},{1,6,33},{1,5,42},{5,0,728},{0,6,299},{0,5,56},{0,4,433},{10,0,728},{0,4,433},{0,9,50},{0,9,50},{0,9,50},{0,5,53},{0,6,162},{0,4,25},{0,4,25},{0,3,82},{0,3,226},{0,2,115},{1,7,2},{1,7,2},{1,7,2},{1,4,2},{3,0,162},{0,4,25},{0,4,25},{0,3,82},{6,0,162},
{0,3,82},{6,1,200},{1,8,5},{2,5,17},{0,5,20},{6,1,200},{13,0,200},{0,5,20},{0,4,208},{13,0,200},{0,4,208},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,3,1},{0,3,1},{0,3,1},{0,1,4},{0,1,8},{0,1,8},{1,14,313},{1,9,123},{1,7,210},{1,6,133},{0,12,724},{0,8,251},{0,6,18},{0,5,352},{0,6,987},{0,5,521},{2,12,201},
{2,9,6},{2,7,33},{2,6,42},{4,4,724},{0,8,251},{0,6,18},{0,5,352},{12,0,724},{0,5,352},{1,10,114},{1,10,114},{1,10,114},{1,6,117},{0,9,162},{0,6,2},{0,6,2},{0,4,49},{0,4,291},{0,3,146},{2,8,2},{2,8,2},{2,8,2},{2,5,2},{4,1,162},{0,6,2},{0,6,2},{0,4,49},{9,0,162},{0,4,49},{7,2,200},{2,9,5},{3,6,17},
{0,6,17},{7,2,200},{14,1,200},{0,6,17},{0,5,208},{14,1,200},{0,5,208},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{0,2,50},{0,2,50},{2,15,410},{2,11,221},{2,8,324},{2,7,234},{1,14,739},{0,10,233},{0,8,40},{0,6,298},{0,7,1013},{0,6,426},{3,13,202},{3,10,1},{3,8,32},{3,7,41},{7,2,723},
{0,10,217},{0,8,24},{0,6,282},{14,1,723},{0,6,282},{2,12,209},{2,12,209},{2,12,209},{2,7,209},{0,12,178},{1,7,20},{1,7,20},{0,5,26},{0,6,308},{0,5,91},{3,10,1},{3,10,1},{3,10,1},{3,6,4},{4,4,162},{1,7,4},{1,7,4},{0,5,10},{12,0,162},{0,5,10},{9,1,200},{3,10,1},{4,8,20},{0,8,20},{9,1,200},{19,0,200},{0,8,20},
{0,6,218},{19,0,200},{0,6,218},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{1,7,16},{1,7,16},{1,7,16},{1,4,16},{0,4,53},{0,4,53},{3,16,408},{3,12,225},{3,9,324},{3,8,228},{2,15,739},{1,11,233},{2,8,33},{1,7,298},{0,9,875},{0,7,303},{4,14,201},{4,11,6},{4,9,33},{4,8,42},{7,5,723},{0,11,204},{2,8,17},{0,7,254},{15,2,723},
{0,7,254},{3,12,209},{3,12,209},{3,12,209},{3,8,212},{1,13,178},{2,8,17},{2,8,17},{1,6,26},{0,7,229},{0,6,17},{4,10,2},{4,10,2},{4,10,2},{4,7,2},{5,5,162},{2,8,1},{2,8,1},{0,6,1},{15,0,162},{0,6,1},{11,0,200},{4,11,5},{5,8,17},{2,8,17},{11,0,200},{22,0,200},{2,8,17},{0,7,218},{22,0,200},{0,7,218},{3,0,208},
{3,0,208},{3,0,208},{3,0,208},{2,8,16},{2,8,16},{2,8,16},{2,5,16},{0,6,16},{0,6,16},{4,17,418},{4,12,228},{4,10,315},{4,9,238},{3,16,744},{2,11,234},{3,9,33},{2,8,305},{0,11,828},{0,8,228},{5,15,201},{5,12,6},{5,10,33},{5,9,42},{11,0,728},{1,12,204},{3,9,17},{0,8,224},{22,0,728},{0,8,224},{4,13,219},{4,13,219},{4,13,219},
{4,9,222},{3,12,178},{3,9,17},{3,9,17},{2,7,26},{0,9,178},{0,7,6},{5,11,2},{5,11,2},{5,11,2},{5,8,2},{9,0,162},{3,9,1},{3,9,1},{1,7,1},{18,0,162},{1,7,1},{12,1,200},{5,12,5},{6,9,17},{3,9,17},{12,1,200},{25,0,200},{3,9,17},{0,8,208},{25,0,200},{0,8,208},{4,0,218},{4,0,218},{4,0,218},{4,0,218},{3,9,16},
{3,9,16},{3,9,16},{3,6,16},{0,7,5},{0,7,5},{5,18,418},{5,13,228},{5,11,315},{5,10,238},{3,19,744},{3,12,225},{3,11,40},{3,9,305},{0,12,749},{0,9,225},{6,16,201},{6,13,6},{6,11,33},{6,10,42},{12,0,724},{2,13,204},{4,10,18},{0,9,209},{24,0,724},{0,9,209},{5,14,219},{5,14,219},{5,14,219},{5,10,222},{3,15,178},{3,11,24},{3,11,24},
{3,8,32},{1,10,178},{1,8,5},{6,12,2},{6,12,2},{6,12,2},{6,9,2},{10,1,162},{4,10,2},{4,10,2},{2,8,1},{21,0,162},{2,8,1},{14,0,200},{6,13,5},{7,10,17},{4,10,17},{14,0,200},{26,1,200},{4,10,17},{0,9,208},{26,1,200},{0,9,208},{5,0,218},{5,0,218},{5,0,218},{5,0,218},{3,12,17},{3,12,17},{3,12,17},{3,7,20},{1,8,5},
{1,8,5},{6,19,410},{6,15,221},{6,12,324},{6,11,234},{5,18,739},{4,14,233},{4,12,40},{4,10,298},{0,14,724},{2,10,228},{7,17,202},{7,14,1},{7,12,32},{7,11,41},{14,0,723},{3,14,211},{4,12,24},{1,10,218},{26,1,723},{1,10,218},{6,16,209},{6,16,209},{6,16,209},{6,11,209},{4,16,178},{5,11,20},{5,11,20},{4,9,26},{1,12,171},{3,9,10},{7,14,1},
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{26,31,222},{25,31,4},{21,30,113},{31,28,546},{21,30,113},{26,31,377},{26,31,377},{26,31,377},{26,31,209},{26,31,338},{25,31,20},{25,31,20},{24,29,26},{22,31,173},{23,29,10},{27,31,49},{27,31,49},{27,31,49},{27,30,4},{28,28,162},{25,31,4},{25,31,4},{23,29,1},{28,28,162},{23,29,1},{31,28,113},{29,31,52},{28,31,1},{26,31,1},{31,28,113},{30,30,113},{26,31,1},
{0,30,113},{30,30,113},{0,30,113},{26,0,208},{26,0,208},{26,0,208},{26,0,208},{25,31,16},{25,31,16},{25,31,16},{25,28,16},{23,29,9},{23,29,9},{28,31,779},{27,31,554},{27,31,433},{27,31,224},{28,31,859},{26,31,270},{26,31,74},{25,30,90},{24,31,590},{23,31,59},{29,31,218},{29,31,133},{28,31,82},{28,31,2},{31,27,333},{27,31,146},{27,31,25},{22,31,49},{31,29,333},
{22,31,49},{27,31,433},{27,31,433},{27,31,433},{27,31,224},{27,31,378},{26,31,74},{26,31,74},{25,30,26},{24,31,229},{23,30,14},{28,31,82},{28,31,82},{28,31,82},{28,31,2},{29,29,162},{27,31,25},{27,31,25},{24,30,1},{31,28,162},{24,30,1},{31,30,25},{30,31,10},{30,31,1},{28,31,1},{31,30,25},{30,31,25},{28,31,1},{0,31,49},{30,31,25},{0,31,49},{27,0,208},
{27,0,208},{27,0,208},{27,0,208},{26,31,25},{26,31,25},{26,31,25},{26,29,16},{23,31,10},{23,31,10},{29,31,684},{28,31,538},{28,31,474},{28,31,282},{28,31,682},{27,31,283},{27,31,162},{26,31,25},{26,31,482},{24,31,5},{30,31,153},{30,31,126},{30,31,117},{29,31,37},{31,29,193},{29,31,108},{28,31,65},{25,31,0},{31,30,193},{25,31,0},{28,31,474},{28,31,474},{28,31,474},
{28,31,282},{28,31,426},{27,31,162},{27,31,162},{26,31,25},{26,31,286},{24,31,5},{30,31,117},{30,31,117},{30,31,117},{29,31,37},{31,28,145},{28,31,65},{28,31,65},{25,31,0},{30,30,145},{25,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{28,0,218},{28,0,218},{28,0,218},{28,0,218},{27,31,41},
{27,31,41},{27,31,41},{27,30,16},{24,31,5},{24,31,5},{29,31,460},{29,31,375},{29,31,339},{29,31,254},{29,31,415},{28,31,202},{28,31,138},{27,31,20},{27,31,295},{26,31,26},{30,31,73},{30,31,46},{30,31,37},{30,31,10},{31,30,54},{30,31,27},{30,31,18},{28,31,1},{30,31,54},{28,31,1},{29,31,339},{29,31,339},{29,31,339},{29,31,254},{29,31,294},{28,31,138},{28,31,138},
{27,31,20},{27,31,174},{26,31,26},{30,31,37},{30,31,37},{30,31,37},{30,31,10},{31,29,45},{30,31,18},{30,31,18},{28,31,1},{31,30,45},{28,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{29,0,218},{29,0,218},{29,0,218},{29,0,218},{28,31,74},{28,31,74},{28,31,74},{27,31,20},{26,31,26},
{26,31,26},{0,10,421},{0,7,52},{0,5,1},{0,4,162},{0,7,926},{0,5,590},{0,4,283},{0,3,701},{0,3,1005},{0,3,765},{0,10,421},{0,7,52},{0,5,1},{0,4,162},{3,1,925},{0,5,590},{0,4,283},{0,3,701},{3,2,925},{0,3,701},{0,5,0},{0,5,0},{0,5,0},{0,2,9},{0,2,89},{0,2,34},{0,2,34},{0,1,50},{0,1,93},{0,1,54},{0,5,0},
{0,5,0},{0,5,0},{0,2,9},{1,0,89},{0,2,34},{0,2,34},{0,1,50},{2,0,89},{0,1,50},{5,0,421},{0,7,52},{0,5,1},{0,4,162},{5,0,421},{10,0,421},{0,4,162},{0,3,445},{10,0,421},{0,3,445},{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},{0,13,421},{0,9,10},{0,6,26},
{0,5,117},{0,9,1261},{0,6,701},{0,5,286},{0,4,917},{0,4,1390},{0,3,1005},{0,13,421},{0,9,10},{0,6,26},{0,5,117},{4,1,1261},{0,6,701},{0,5,286},{0,4,917},{9,0,1261},{0,4,917},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,4,221},{0,3,89},{0,3,89},{0,2,125},{0,2,246},{0,2,150},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{2,0,221},
{0,3,89},{0,3,89},{0,2,125},{4,0,221},{0,2,125},{6,1,421},{0,9,10},{1,6,1},{0,5,117},{6,1,421},{13,0,421},{0,5,117},{0,4,433},{13,0,421},{0,4,433},{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},{0,16,430},{0,11,14},{0,7,110},{0,7,91},{0,11,1514},{0,7,737},{0,6,259},
{0,4,1002},{0,5,1710},{0,4,1123},{0,16,430},{0,11,14},{1,7,51},{0,7,91},{5,1,1514},{0,7,737},{0,6,259},{0,4,1002},{11,0,1514},{0,4,1002},{0,11,10},{0,11,10},{0,11,10},{0,5,13},{0,6,338},{0,5,104},{0,5,104},{0,3,194},{0,3,402},{0,2,243},{0,11,10},{0,11,10},{0,11,10},{0,5,13},{3,0,338},{0,5,104},{0,5,104},{0,3,194},{6,0,338},
{0,3,194},{8,0,421},{0,11,5},{2,7,1},{0,7,82},{8,0,421},{16,0,421},{0,7,82},{0,5,433},{16,0,421},{0,5,433},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,1},{0,1,1},{0,1,1},{0,1,4},{0,1,8},{0,1,8},{1,17,494},{1,12,78},{1,8,173},{1,8,154},{0,14,1514},{0,9,602},{0,7,146},{0,6,874},{0,7,1875},{0,5,1066},{1,17,430},
{1,12,14},{2,8,50},{1,8,90},{7,0,1514},{0,9,602},{0,7,146},{0,6,874},{14,0,1514},{0,6,874},{1,12,74},{1,12,74},{1,12,74},{1,6,77},{0,9,338},{0,6,50},{0,6,50},{0,4,137},{0,4,467},{0,3,258},{1,12,10},{1,12,10},{1,12,10},{1,6,13},{4,1,338},{0,6,50},{0,6,50},{0,4,137},{9,0,338},{0,4,137},{9,1,421},{1,12,5},{3,8,1},
{0,8,49},{9,1,421},{19,0,421},{0,8,49},{0,6,433},{19,0,421},{0,6,433},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,4,0},{0,4,0},{0,4,0},{0,2,1},{0,2,26},{0,2,26},{1,20,629},{1,14,233},{2,10,385},{1,9,245},{0,17,1517},{0,11,521},{0,9,26},{0,7,769},{0,8,2025},{0,6,1085},{3,16,437},{2,13,17},{3,9,53},{2,9,81},{8,1,1517},
{0,11,521},{0,9,26},{0,7,769},{17,0,1517},{0,7,769},{1,15,208},{1,15,208},{1,15,208},{1,8,208},{0,12,338},{0,8,8},{0,8,8},{0,5,74},{0,5,579},{0,5,243},{3,11,16},{3,11,16},{3,11,16},{3,7,16},{4,4,338},{0,8,8},{0,8,8},{0,5,74},{12,0,338},{0,5,74},{11,0,421},{2,13,1},{4,9,1},{0,9,10},{11,0,421},{22,0,421},{0,9,10},
{0,7,445},{22,0,421},{0,7,445},{1,0,208},{1,0,208},{1,0,208},{1,0,208},{0,7,1},{0,7,1},{0,7,1},{0,4,4},{0,3,80},{0,3,80},{2,21,821},{2,15,425},{2,11,645},{2,10,437},{0,20,1514},{0,12,458},{0,10,2},{0,8,689},{0,9,2198},{0,7,1146},{3,19,437},{3,14,17},{4,10,51},{3,10,81},{8,4,1514},{0,12,458},{0,10,2},{0,8,689},{20,0,1514},
{0,8,689},{2,16,400},{2,16,400},{2,16,400},{2,9,400},{0,15,338},{0,10,1},{0,10,1},{0,6,41},{0,7,717},{0,6,297},{3,14,16},{3,14,16},{3,14,16},{3,8,20},{5,5,338},{0,10,1},{0,10,1},{0,6,41},{15,0,338},{0,6,41},{12,1,421},{3,14,1},{5,10,1},{0,10,1},{12,1,421},{25,0,421},{0,10,1},{0,8,433},{25,0,421},{0,8,433},{2,0,400},
{2,0,400},{2,0,400},{2,0,400},{0,10,1},{0,10,1},{0,10,1},{0,5,1},{0,4,157},{0,4,157},{3,22,854},{3,15,459},{3,12,666},{3,11,470},{1,21,1515},{1,13,459},{1,11,3},{0,9,651},{0,11,2070},{0,9,891},{4,20,430},{4,15,14},{5,11,51},{4,11,91},{9,5,1514},{0,14,425},{1,11,2},{0,9,602},{23,0,1514},{0,9,602},{3,17,433},{3,17,433},{3,17,433},
{3,10,433},{1,16,339},{1,11,2},{1,11,2},{1,7,42},{0,8,613},{0,7,173},{4,15,10},{4,15,10},{4,15,10},{4,9,13},{9,0,338},{1,11,1},{1,11,1},{0,7,29},{18,0,338},{0,7,29},{14,0,421},{4,15,5},{6,11,1},{1,11,1},{14,0,421},{28,0,421},{1,11,1},{0,9,433},{28,0,421},{0,9,433},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{1,11,2},
{1,11,2},{1,11,2},{1,6,2},{0,6,97},{0,6,97},{4,23,866},{4,16,461},{4,12,670},{4,12,494},{2,22,1515},{2,14,459},{2,12,3},{1,10,651},{0,12,1913},{0,10,677},{5,21,430},{5,16,14},{6,12,50},{5,12,90},{13,0,1514},{1,15,425},{2,12,2},{0,10,533},{26,0,1514},{0,10,533},{4,18,446},{4,18,446},{4,18,446},{4,11,446},{2,17,339},{2,12,3},{2,12,3},
{2,8,42},{0,10,500},{0,8,65},{5,16,10},{5,16,10},{5,16,10},{5,10,13},{10,1,338},{2,12,2},{2,12,2},{0,8,16},{21,0,338},{0,8,16},{15,1,421},{5,16,5},{7,12,1},{2,12,1},{15,1,421},{31,0,421},{2,12,1},{0,10,433},{31,0,421},{0,10,433},{4,0,445},{4,0,445},{4,0,445},{4,0,445},{2,12,2},{2,12,2},{2,12,2},{2,7,2},{0,8,49},
{0,8,49},{5,24,854},{5,18,458},{5,14,678},{5,13,470},{3,23,1517},{3,15,461},{3,13,5},{2,11,653},{0,14,1758},{0,11,530},{7,20,437},{6,17,17},{7,13,53},{6,13,81},{14,1,1517},{2,16,422},{3,13,5},{0,11,494},{29,0,1517},{0,11,494},{5,19,433},{5,19,433},{5,19,433},{5,12,433},{3,18,340},{3,13,4},{3,13,4},{3,9,41},{0,12,419},{0,10,19},{7,15,16},
{7,15,16},{7,15,16},{7,11,16},{12,0,338},{3,13,4},{3,13,4},{0,10,10},{24,0,338},{0,10,10},{17,0,421},{6,17,1},{8,13,1},{3,13,1},{17,0,421},{30,2,421},{3,13,1},{0,11,445},{30,2,421},{0,11,445},{5,0,433},{5,0,433},{5,0,433},{5,0,433},{3,14,1},{3,14,1},{3,14,1},{3,8,1},{0,10,10},{0,10,10},{6,25,854},{6,19,458},{6,15,678},
{6,14,470},{4,24,1515},{4,16,459},{4,14,3},{3,12,666},{0,16,1658},{0,12,459},{7,23,437},{7,18,17},{8,14,51},{7,14,81},{16,0,1514},{3,17,422},{4,14,2},{0,12,458},{24,4,1514},{0,12,458},{6,20,433},{6,20,433},{6,20,433},{6,13,433},{4,19,339},{4,14,2},{4,14,2},{4,10,42},{0,13,365},{0,11,14},{7,18,16},{7,18,16},{7,18,16},{7,12,20},{13,1,338},
{4,14,1},{4,14,1},{0,11,10},{27,0,338},{0,11,10},{18,1,421},{7,18,1},{9,14,1},{4,14,1},{18,1,421},{31,3,421},{4,14,1},{0,12,433},{31,3,421},{0,12,433},{6,0,433},{6,0,433},{6,0,433},{6,0,433},{4,14,2},{4,14,2},{4,14,2},{4,9,2},{0,11,5},{0,11,5},{7,26,854},{7,19,459},{7,16,666},{7,15,470},{5,25,1515},{5,17,459},{5,15,3},
{4,13,651},{0,17,1577},{1,13,459},{8,24,430},{8,19,14},{9,15,51},{8,15,91},{17,1,1514},{4,18,425},{5,15,2},{0,13,437},{27,4,1514},{0,13,437},{7,21,433},{7,21,433},{7,21,433},{7,14,433},{5,20,339},{5,15,2},{5,15,2},{5,11,42},{0,15,339},{1,12,21},{8,19,10},{8,19,10},{8,19,10},{8,13,13},{15,0,338},{5,15,1},{5,15,1},{1,12,17},{30,0,338},
{1,12,17},{20,0,421},{8,19,5},{10,15,1},{5,15,1},{20,0,421},{30,5,421},{5,15,1},{0,13,433},{30,5,421},{0,13,433},{7,0,433},{7,0,433},{7,0,433},{7,0,433},{5,15,2},{5,15,2},{5,15,2},{5,10,2},{1,12,5},{1,12,5},{8,27,866},{8,20,461},{8,16,670},{8,16,494},{6,26,1515},{6,18,459},{6,16,3},{5,14,651},{0,19,1530},{2,14,459},{9,25,430},
{9,20,14},{10,16,50},{9,16,90},{19,0,1514},{5,19,425},{6,16,2},{0,14,434},{30,4,1514},{0,14,434},{8,22,446},{8,22,446},{8,22,446},{8,15,446},{6,21,339},{6,16,3},{6,16,3},{6,12,42},{1,16,339},{2,13,21},{9,20,10},{9,20,10},{9,20,10},{9,14,13},{16,1,338},{6,16,2},{6,16,2},{4,12,16},{31,1,338},{4,12,16},{21,1,421},{9,20,5},{11,16,1},
{6,16,1},{21,1,421},{31,6,421},{6,16,1},{0,14,433},{31,6,421},{0,14,433},{8,0,445},{8,0,445},{8,0,445},{8,0,445},{6,16,2},{6,16,2},{6,16,2},{6,11,2},{2,13,5},{2,13,5},{9,28,854},{9,22,458},{9,18,678},{9,17,470},{7,27,1517},{7,19,461},{7,17,5},{6,15,653},{1,20,1526},{3,15,461},{11,24,437},{10,21,17},{11,17,53},{10,17,81},{20,1,1517},
{6,20,422},{7,17,5},{2,15,446},{31,5,1517},{2,15,446},{9,23,433},{9,23,433},{9,23,433},{9,16,433},{7,22,340},{7,17,4},{7,17,4},{7,13,41},{2,17,340},{4,14,19},{11,19,16},{11,19,16},{11,19,16},{11,15,16},{16,4,338},{7,17,4},{7,17,4},{4,14,10},{28,4,338},{4,14,10},{23,0,421},{10,21,1},{12,17,1},{7,17,1},{23,0,421},{30,8,421},{7,17,1},
{0,15,445},{30,8,421},{0,15,445},{9,0,433},{9,0,433},{9,0,433},{9,0,433},{7,18,1},{7,18,1},{7,18,1},{7,12,1},{4,14,10},{4,14,10},{10,29,854},{10,23,458},{10,19,678},{10,18,470},{8,28,1515},{8,20,459},{8,18,3},{7,16,666},{2,21,1526},{4,16,459},{11,27,437},{11,22,17},{12,18,51},{11,18,81},{20,4,1514},{7,21,422},{8,18,2},{2,16,434},{28,8,1514},
{2,16,434},{10,24,433},{10,24,433},{10,24,433},{10,17,433},{8,23,339},{8,18,2},{8,18,2},{8,14,42},{3,18,340},{4,15,14},{11,22,16},{11,22,16},{11,22,16},{11,16,20},{17,5,338},{8,18,1},{8,18,1},{4,15,10},{31,4,338},{4,15,10},{24,1,421},{11,22,1},{13,18,1},{8,18,1},{24,1,421},{31,9,421},{8,18,1},{0,16,433},{31,9,421},{0,16,433},{10,0,433},
{10,0,433},{10,0,433},{10,0,433},{8,18,2},{8,18,2},{8,18,2},{8,13,2},{4,15,5},{4,15,5},{11,30,854},{11,23,459},{11,20,666},{11,19,470},{9,29,1515},{9,21,459},{9,19,3},{8,17,651},{3,22,1526},{5,17,459},{12,28,430},{12,23,14},{13,19,51},{12,19,91},{21,5,1514},{8,22,425},{9,19,2},{3,17,434},{31,8,1514},{3,17,434},{11,25,433},{11,25,433},{11,25,433},
{11,18,433},{9,24,339},{9,19,2},{9,19,2},{9,15,42},{4,19,339},{5,16,21},{12,23,10},{12,23,10},{12,23,10},{12,17,13},{21,0,338},{9,19,1},{9,19,1},{5,16,17},{30,6,338},{5,16,17},{26,0,421},{12,23,5},{14,19,1},{9,19,1},{26,0,421},{30,11,421},{9,19,1},{0,17,433},{30,11,421},{0,17,433},{11,0,433},{11,0,433},{11,0,433},{11,0,433},{9,19,2},
{9,19,2},{9,19,2},{9,14,2},{5,16,5},{5,16,5},{12,31,866},{12,24,461},{12,20,670},{12,20,494},{10,30,1515},{10,22,459},{10,20,3},{9,18,651},{4,23,1530},{6,18,459},{13,29,430},{13,24,14},{14,20,50},{13,20,90},{25,0,1514},{9,23,425},{10,20,2},{4,18,434},{30,10,1514},{4,18,434},{12,26,446},{12,26,446},{12,26,446},{12,19,446},{10,25,339},{10,20,3},{10,20,3},
{10,16,42},{5,20,339},{6,17,21},{13,24,10},{13,24,10},{13,24,10},{13,18,13},{22,1,338},{10,20,2},{10,20,2},{8,16,16},{31,7,338},{8,16,16},{27,1,421},{13,24,5},{15,20,1},{10,20,1},{27,1,421},{31,12,421},{10,20,1},{0,18,433},{31,12,421},{0,18,433},{12,0,445},{12,0,445},{12,0,445},{12,0,445},{10,20,2},{10,20,2},{10,20,2},{10,15,2},{6,17,5},
{6,17,5},{13,31,878},{13,26,458},{13,22,678},{13,21,470},{11,31,1517},{11,23,461},{11,21,5},{10,19,653},{5,24,1526},{7,19,461},{15,28,437},{14,25,17},{15,21,53},{14,21,81},{26,1,1517},{10,24,422},{11,21,5},{6,19,446},{31,11,1517},{6,19,446},{13,27,433},{13,27,433},{13,27,433},{13,20,433},{11,26,340},{11,21,4},{11,21,4},{11,17,41},{6,21,340},{8,18,19},{15,23,16},
{15,23,16},{15,23,16},{15,19,16},{24,0,338},{11,21,4},{11,21,4},{8,18,10},{24,12,338},{8,18,10},{29,0,421},{14,25,1},{16,21,1},{11,21,1},{29,0,421},{30,14,421},{11,21,1},{0,19,445},{30,14,421},{0,19,445},{13,0,433},{13,0,433},{13,0,433},{13,0,433},{11,22,1},{11,22,1},{11,22,1},{11,16,1},{8,18,10},{8,18,10},{14,31,938},{14,27,458},{14,23,678},
{14,22,470},{12,31,1542},{12,24,459},{12,22,3},{11,20,666},{6,25,1526},{8,20,459},{15,31,437},{15,26,17},{16,22,51},{15,22,81},{28,0,1514},{11,25,422},{12,22,2},{6,20,434},{24,16,1514},{6,20,434},{14,28,433},{14,28,433},{14,28,433},{14,21,433},{12,27,339},{12,22,2},{12,22,2},{12,18,42},{7,22,340},{8,19,14},{15,26,16},{15,26,16},{15,26,16},{15,20,20},{25,1,338},
{12,22,1},{12,22,1},{8,19,10},{27,12,338},{8,19,10},{30,1,421},{15,26,1},{17,22,1},{12,22,1},{30,1,421},{31,15,421},{12,22,1},{0,20,433},{31,15,421},{0,20,433},{14,0,433},{14,0,433},{14,0,433},{14,0,433},{12,22,2},{12,22,2},{12,22,2},{12,17,2},{8,19,5},{8,19,5},{15,31,998},{15,27,459},{15,24,666},{15,23,470},{14,31,1598},{13,25,459},{13,23,3},
{12,21,651},{7,26,1526},{9,21,459},{16,31,442},{16,27,14},{17,23,51},{16,23,91},{29,1,1514},{12,26,425},{13,23,2},{7,21,434},{27,16,1514},{7,21,434},{15,29,433},{15,29,433},{15,29,433},{15,22,433},{13,28,339},{13,23,2},{13,23,2},{13,19,42},{8,23,339},{9,20,21},{16,27,10},{16,27,10},{16,27,10},{16,21,13},{27,0,338},{13,23,1},{13,23,1},{9,20,17},{30,12,338},
{9,20,17},{31,2,421},{16,27,5},{18,23,1},{13,23,1},{31,2,421},{30,17,421},{13,23,1},{0,21,433},{30,17,421},{0,21,433},{15,0,433},{15,0,433},{15,0,433},{15,0,433},{13,23,2},{13,23,2},{13,23,2},{13,18,2},{9,20,5},{9,20,5},{16,31,1086},{16,28,461},{16,24,670},{16,24,494},{15,31,1622},{14,26,459},{14,24,3},{13,22,651},{8,27,1530},{10,22,459},{18,31,446},
{17,28,14},{18,24,50},{17,24,90},{31,0,1514},{13,27,425},{14,24,2},{8,22,434},{30,16,1514},{8,22,434},{16,30,446},{16,30,446},{16,30,446},{16,23,446},{14,29,339},{14,24,3},{14,24,3},{14,20,42},{9,24,339},{10,21,21},{17,28,10},{17,28,10},{17,28,10},{17,22,13},{28,1,338},{14,24,2},{14,24,2},{12,20,16},{31,13,338},{12,20,16},{31,5,421},{17,28,5},{19,24,1},
{14,24,1},{31,5,421},{31,18,421},{14,24,1},{0,22,433},{31,18,421},{0,22,433},{16,0,445},{16,0,445},{16,0,445},{16,0,445},{14,24,2},{14,24,2},{14,24,2},{14,19,2},{10,21,5},{10,21,5},{18,31,1242},{17,30,458},{17,26,678},{17,25,470},{16,31,1703},{15,27,461},{15,25,5},{14,23,653},{9,28,1526},{11,23,461},{19,31,461},{18,29,17},{19,25,53},{18,25,81},{31,3,1517},
{14,28,422},{15,25,5},{10,23,446},{31,17,1517},{10,23,446},{17,31,433},{17,31,433},{17,31,433},{17,24,433},{15,30,340},{15,25,4},{15,25,4},{15,21,41},{10,25,340},{12,22,19},{19,27,16},{19,27,16},{19,27,16},{19,23,16},{28,4,338},{15,25,4},{15,25,4},{12,22,10},{28,16,338},{12,22,10},{31,8,421},{18,29,1},{20,25,1},{15,25,1},{31,8,421},{30,20,421},{15,25,1},
{0,23,445},{30,20,421},{0,23,445},{17,0,433},{17,0,433},{17,0,433},{17,0,433},{15,26,1},{15,26,1},{15,26,1},{15,20,1},{12,22,10},{12,22,10},{19,31,1326},{18,31,458},{18,27,678},{18,26,470},{17,31,1838},{16,28,459},{16,26,3},{15,24,666},{10,29,1526},{12,24,459},{20,31,506},{19,30,17},{20,26,51},{19,26,81},{28,12,1514},{15,29,422},{16,26,2},{10,24,434},{28,20,1514},
{10,24,434},{18,31,442},{18,31,442},{18,31,442},{18,25,433},{16,31,339},{16,26,2},{16,26,2},{16,22,42},{11,26,340},{12,23,14},{19,30,16},{19,30,16},{19,30,16},{19,24,20},{29,5,338},{16,26,1},{16,26,1},{12,23,10},{31,16,338},{12,23,10},{31,11,421},{19,30,1},{21,26,1},{16,26,1},{31,11,421},{31,21,421},{16,26,1},{0,24,433},{31,21,421},{0,24,433},{18,0,433},
{18,0,433},{18,0,433},{18,0,433},{16,26,2},{16,26,2},{16,26,2},{16,21,2},{12,23,5},{12,23,5},{20,31,1470},{19,31,459},{19,28,666},{19,27,470},{19,31,1911},{17,29,459},{17,27,3},{16,25,651},{11,30,1526},{13,25,459},{21,31,590},{20,31,14},{21,27,51},{20,27,91},{29,13,1514},{16,30,425},{17,27,2},{11,25,434},{31,20,1514},{11,25,434},{19,31,458},{19,31,458},{19,31,458},
{19,26,433},{17,31,357},{17,27,2},{17,27,2},{17,23,42},{12,27,339},{13,24,21},{20,31,10},{20,31,10},{20,31,10},{20,25,13},{31,4,338},{17,27,1},{17,27,1},{13,24,17},{30,18,338},{13,24,17},{31,14,421},{20,31,5},{22,27,1},{17,27,1},{31,14,421},{30,23,421},{17,27,1},{0,25,433},{30,23,421},{0,25,433},{19,0,433},{19,0,433},{19,0,433},{19,0,433},{17,27,2},
{17,27,2},{17,27,2},{17,22,2},{13,24,5},{13,24,5},{21,31,1650},{20,31,530},{20,28,670},{20,28,494},{20,31,2030},{18,30,459},{18,28,3},{17,26,651},{12,31,1530},{14,26,459},{23,31,650},{21,31,29},{22,28,50},{21,28,90},{31,12,1514},{17,31,425},{18,28,2},{12,26,434},{30,22,1514},{12,26,434},{20,31,494},{20,31,494},{20,31,494},{20,27,446},{18,31,411},{18,28,3},{18,28,3},
{18,24,42},{13,28,339},{14,25,21},{21,31,13},{21,31,13},{21,31,13},{21,26,13},{31,7,338},{18,28,2},{18,28,2},{16,24,16},{31,19,338},{16,24,16},{31,17,421},{22,31,10},{23,28,1},{18,28,1},{31,17,421},{31,24,421},{18,28,1},{0,26,433},{31,24,421},{0,26,433},{20,0,445},{20,0,445},{20,0,445},{20,0,445},{18,28,2},{18,28,2},{18,28,2},{18,23,2},{14,25,5},
{14,25,5},{22,31,1902},{21,31,723},{21,30,678},{21,29,470},{21,31,2235},{19,31,461},{19,29,5},{18,27,653},{14,31,1587},{15,27,461},{24,31,734},{23,31,65},{23,29,53},{22,29,81},{31,15,1517},{19,31,461},{19,29,5},{14,27,446},{31,23,1517},{14,27,446},{21,31,554},{21,31,554},{21,31,554},{21,28,433},{20,31,437},{19,29,4},{19,29,4},{19,25,41},{14,29,340},{16,26,19},{23,31,16},
{23,31,16},{23,31,16},{23,27,16},{28,16,338},{19,29,4},{19,29,4},{16,26,10},{24,24,338},{16,26,10},{31,20,421},{23,31,49},{24,29,1},{19,29,1},{31,20,421},{30,26,421},{19,29,1},{0,27,445},{30,26,421},{0,27,445},{21,0,433},{21,0,433},{21,0,433},{21,0,433},{19,30,1},{19,30,1},{19,30,1},{19,24,1},{16,26,10},{16,26,10},{23,31,2074},{23,31,930},{22,31,678},
{22,30,470},{23,31,2382},{20,31,570},{20,30,3},{19,28,666},{16,31,1703},{16,28,459},{25,31,854},{24,31,173},{24,30,51},{23,30,81},{28,24,1514},{21,31,554},{20,30,2},{14,28,434},{24,28,1514},{14,28,434},{22,31,629},{22,31,629},{22,31,629},{22,29,433},{21,31,491},{20,30,2},{20,30,2},{20,26,42},{15,30,340},{16,27,14},{24,31,29},{24,31,29},{24,31,29},{23,28,20},{29,17,338},
{20,30,1},{20,30,1},{16,27,10},{27,24,338},{16,27,10},{31,23,421},{25,31,109},{25,30,1},{20,30,1},{31,23,421},{31,27,421},{20,30,1},{0,28,433},{31,27,421},{0,28,433},{22,0,433},{22,0,433},{22,0,433},{22,0,433},{20,30,2},{20,30,2},{20,30,2},{20,25,2},{16,27,5},{16,27,5},{24,31,2229},{24,31,1146},{23,31,689},{23,31,469},{24,31,2476},{22,31,731},{21,31,2},
{20,29,618},{18,31,1805},{17,29,426},{26,31,953},{25,31,339},{25,31,50},{24,30,82},{29,25,1459},{23,31,620},{21,31,1},{15,29,401},{27,28,1459},{15,29,401},{23,31,689},{23,31,689},{23,31,689},{23,30,433},{22,31,581},{21,31,2},{21,31,2},{21,27,42},{16,31,339},{17,28,21},{25,31,50},{25,31,50},{25,31,50},{24,29,13},{31,16,338},{21,31,1},{21,31,1},{17,28,17},{30,24,338},
{17,28,17},{31,26,392},{27,31,157},{26,31,0},{21,31,0},{31,26,392},{30,29,392},{21,31,0},{0,29,400},{30,29,392},{0,29,400},{23,0,433},{23,0,433},{23,0,433},{23,0,433},{21,31,2},{21,31,2},{21,31,2},{21,26,2},{17,28,5},{17,28,5},{25,31,1943},{24,31,1130},{24,31,769},{24,31,446},{25,31,2103},{23,31,573},{22,31,42},{22,29,373},{20,31,1481},{18,30,234},{27,31,657},
{26,31,285},{26,31,89},{25,31,18},{31,23,1064},{24,31,426},{23,31,8},{16,30,209},{31,27,1064},{16,30,209},{24,31,769},{24,31,769},{24,31,769},{24,31,446},{23,31,661},{22,31,42},{22,31,42},{22,28,42},{18,31,365},{18,29,21},{26,31,89},{26,31,89},{26,31,89},{25,30,13},{31,19,338},{23,31,8},{23,31,8},{20,28,16},{31,25,338},{20,28,16},{31,27,202},{28,31,80},{27,31,4},
{24,31,1},{31,27,202},{31,29,202},{24,31,1},{0,30,208},{31,29,202},{0,30,208},{24,0,445},{24,0,445},{24,0,445},{24,0,445},{22,31,17},{22,31,17},{22,31,17},{22,27,2},{18,29,5},{18,29,5},{27,31,1710},{26,31,1126},{25,31,917},{25,31,469},{26,31,1779},{24,31,507},{24,31,146},{23,30,154},{22,31,1221},{20,30,83},{28,31,450},{27,31,258},{27,31,137},{27,31,16},{29,29,722},
{26,31,286},{25,31,52},{20,30,74},{31,28,722},{20,30,74},{25,31,917},{25,31,917},{25,31,917},{25,31,469},{25,31,789},{24,31,146},{24,31,146},{23,29,41},{20,31,446},{20,30,19},{27,31,137},{27,31,137},{27,31,137},{27,31,16},{28,28,338},{25,31,52},{25,31,52},{20,30,10},{28,28,338},{20,30,10},{31,29,61},{30,31,34},{29,31,0},{27,31,0},{31,29,61},{31,30,61},{27,31,0},
{0,30,73},{31,30,61},{0,30,73},{25,0,433},{25,0,433},{25,0,433},{25,0,433},{23,31,49},{23,31,49},{23,31,49},{23,28,1},{20,30,10},{20,30,10},{27,31,1486},{27,31,1123},{27,31,1002},{26,31,554},{27,31,1519},{25,31,582},{25,31,293},{24,30,106},{23,31,1090},{20,31,14},{29,31,354},{28,31,258},{28,31,194},{28,31,50},{31,27,509},{27,31,234},{27,31,113},{20,31,10},{31,29,509},
{20,31,10},{27,31,1002},{27,31,1002},{27,31,1002},{26,31,554},{26,31,915},{25,31,293},{25,31,293},{24,30,42},{22,31,564},{20,31,14},{28,31,194},{28,31,194},{28,31,194},{28,31,50},{29,29,338},{27,31,113},{27,31,113},{20,31,10},{31,28,338},{20,31,10},{31,30,9},{31,31,9},{30,31,9},{30,31,0},{31,30,9},{30,31,9},{30,31,0},{0,31,9},{30,31,9},{0,31,9},{26,0,433},
{26,0,433},{26,0,433},{26,0,433},{24,31,82},{24,31,82},{24,31,82},{24,29,2},{20,31,5},{20,31,5},{28,31,1197},{28,31,1005},{27,31,917},{27,31,554},{28,31,1213},{26,31,522},{26,31,326},{25,31,17},{24,31,870},{22,31,16},{30,31,241},{29,31,182},{29,31,146},{29,31,61},{31,28,297},{28,31,153},{28,31,89},{23,31,1},{30,30,297},{23,31,1},{27,31,917},{27,31,917},{27,31,917},
{27,31,554},{27,31,774},{26,31,326},{26,31,326},{25,31,17},{24,31,509},{22,31,16},{29,31,146},{29,31,146},{29,31,146},{29,31,61},{31,27,221},{28,31,89},{28,31,89},{23,31,1},{31,29,221},{23,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{27,0,433},{27,0,433},{27,0,433},{27,0,433},{26,31,130},
{26,31,130},{26,31,130},{25,30,2},{22,31,16},{22,31,16},{29,31,927},{28,31,765},{28,31,701},{28,31,509},{28,31,845},{27,31,404},{27,31,283},{26,31,2},{26,31,589},{24,31,52},{30,31,97},{30,31,70},{30,31,61},{30,31,34},{31,30,118},{30,31,67},{29,31,40},{26,31,1},{30,31,118},{26,31,1},{28,31,701},{28,31,701},{28,31,701},{28,31,509},{28,31,589},{27,31,283},{27,31,283},
{26,31,2},{25,31,386},{24,31,52},{30,31,61},{30,31,61},{30,31,61},{30,31,34},{31,29,85},{29,31,40},{29,31,40},{26,31,1},{31,30,85},{26,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{28,0,445},{28,0,445},{28,0,445},{28,0,445},{27,31,162},{27,31,162},{27,31,162},{26,31,2},{24,31,52},
{24,31,52},{0,14,884},{0,10,117},{0,7,10},{0,6,317},{0,10,1899},{0,6,1236},{0,6,573},{0,4,1438},{0,4,2065},{0,4,1559},{0,14,884},{0,10,117},{0,7,10},{0,6,317},{5,0,1899},{0,6,1236},{0,6,573},{0,4,1438},{10,0,1899},{0,4,1438},{0,7,1},{0,7,1},{0,7,1},{0,3,4},{0,3,164},{0,3,68},{0,3,68},{0,2,104},{0,2,189},{0,1,129},{0,7,1},
{0,7,1},{0,7,1},{0,3,4},{2,0,164},{0,3,68},{0,3,68},{0,2,104},{3,0,164},{0,2,104},{7,0,884},{0,10,117},{0,7,10},{0,6,317},{7,0,884},{14,0,884},{0,6,317},{0,5,890},{14,0,884},{0,5,890},{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},{0,17,884},{0,12,53},{0,8,20},
{0,7,265},{0,11,2360},{0,8,1384},{0,7,626},{0,5,1683},{0,5,2580},{0,5,1852},{0,17,884},{0,12,53},{0,8,20},{0,7,265},{6,0,2356},{0,8,1384},{0,7,626},{0,5,1683},{10,1,2356},{0,5,1683},{0,10,1},{0,10,1},{0,10,1},{0,5,1},{0,5,338},{0,4,137},{0,4,137},{0,2,200},{0,2,381},{0,2,225},{0,10,1},{0,10,1},{0,10,1},{0,5,1},{2,1,338},
{0,4,137},{0,4,137},{0,2,200},{5,0,338},{0,2,200},{8,1,884},{0,12,53},{1,8,5},{0,7,265},{8,1,884},{17,0,884},{0,7,265},{0,6,890},{17,0,884},{0,6,890},{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},{0,20,882},{0,14,16},{0,10,85},{0,8,200},{0,14,2904},{0,9,1530},{0,8,684},
{0,6,1978},{0,6,3220},{0,5,2172},{0,20,882},{0,14,16},{1,9,84},{0,8,200},{7,0,2904},{0,9,1530},{0,8,684},{0,6,1978},{14,0,2904},{0,6,1978},{0,12,1},{0,12,1},{0,12,1},{0,6,4},{0,6,580},{0,5,218},{0,5,218},{0,3,356},{0,3,644},{0,3,420},{0,12,1},{0,12,1},{0,12,1},{0,6,4},{3,0,580},{0,5,218},{0,5,218},{0,3,356},{6,0,580},
{0,3,356},{8,4,882},{0,14,16},{2,9,5},{0,8,200},{8,4,882},{20,0,882},{0,8,200},{0,7,890},{20,0,882},{0,7,890},{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},{0,23,918},{0,15,41},{1,11,153},{0,10,184},{0,16,3048},{0,11,1476},{0,9,473},{0,6,1950},{0,7,3517},{0,6,2206},{1,21,886},
{1,15,20},{1,11,89},{0,10,184},{8,0,3048},{0,11,1476},{0,9,473},{0,6,1950},{16,0,3048},{0,6,1950},{0,15,37},{0,15,37},{0,15,37},{0,8,40},{0,9,648},{0,7,185},{0,7,185},{0,4,337},{0,4,777},{0,4,458},{1,13,5},{1,13,5},{1,13,5},{1,7,8},{4,1,648},{0,7,185},{0,7,185},{0,4,337},{9,0,648},{0,4,337},{9,5,882},{0,15,5},{3,10,5},
{0,10,148},{9,5,882},{23,0,882},{0,10,148},{0,8,900},{23,0,882},{0,8,900},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,5},{0,1,5},{1,24,997},{1,17,123},{1,12,318},{1,11,243},{0,19,3051},{0,12,1278},{0,10,274},{0,8,1795},{0,9,3672},{0,7,2222},{2,22,885},{2,16,10},{2,12,101},{1,11,179},{10,0,3051},
{0,12,1278},{0,10,274},{0,8,1795},{19,0,3051},{0,8,1795},{1,17,114},{1,17,114},{1,17,114},{1,9,114},{0,12,648},{0,9,85},{0,9,85},{0,5,244},{0,5,889},{0,5,413},{2,15,1},{2,15,1},{2,15,1},{2,8,5},{4,4,648},{0,9,85},{0,9,85},{0,5,244},{12,0,648},{0,5,244},{13,0,884},{2,16,9},{4,11,10},{0,11,90},{13,0,884},{26,0,884},{0,11,90},
{0,9,890},{26,0,884},{0,9,890},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{0,2,50},{0,2,50},{1,27,1173},{1,18,314},{2,13,510},{1,12,374},{0,22,3051},{0,14,1139},{0,12,153},{0,9,1630},{0,10,3924},{0,8,2199},{3,23,885},{3,17,10},{3,13,101},{2,12,197},{11,0,3051},{0,14,1139},{0,12,153},{0,9,1630},{22,0,3051},
{0,9,1630},{1,20,290},{1,20,290},{1,20,290},{1,10,293},{0,15,648},{0,10,41},{0,10,41},{0,6,181},{0,7,1027},{0,6,437},{3,16,2},{3,16,2},{3,16,2},{3,9,5},{5,5,648},{0,10,41},{0,10,41},{0,6,181},{15,0,648},{0,6,181},{14,1,884},{3,17,9},{5,12,5},{0,12,53},{14,1,884},{29,0,884},{0,12,53},{0,10,890},{29,0,884},{0,10,890},{1,0,289},
{1,0,289},{1,0,289},{1,0,289},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,3,113},{0,3,113},{2,28,1365},{2,19,506},{3,14,830},{2,13,566},{0,25,3051},{0,16,1051},{0,13,36},{0,10,1483},{0,12,4164},{0,9,2174},{4,24,886},{4,18,20},{4,14,89},{3,13,197},{12,1,3051},{0,16,1051},{0,13,36},{0,10,1483},{25,0,3051},{0,10,1483},{2,21,482},{2,21,482},{2,21,482},
{2,11,485},{0,18,648},{0,12,5},{0,12,5},{0,7,149},{0,8,1182},{0,7,510},{4,16,5},{4,16,5},{4,16,5},{4,10,8},{9,0,648},{0,12,5},{0,12,5},{0,7,149},{18,0,648},{0,7,149},{16,0,882},{3,19,10},{6,13,5},{0,13,20},{16,0,882},{24,4,882},{0,13,20},{0,11,890},{24,4,882},{0,11,890},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{0,11,1},
{0,11,1},{0,11,1},{0,6,1},{0,5,185},{0,5,185},{2,31,1669},{3,20,818},{3,15,1161},{2,14,838},{0,28,3048},{0,17,949},{0,14,6},{0,11,1395},{0,13,4381},{0,10,2228},{5,25,886},{5,19,20},{5,15,89},{4,14,184},{12,4,3048},{0,17,949},{0,14,6},{0,11,1395},{28,0,3048},{0,11,1395},{2,24,786},{2,24,786},{2,24,786},{2,13,786},{0,21,648},{0,14,2},{0,14,2},
{0,9,101},{0,9,1352},{0,8,590},{5,17,5},{5,17,5},{5,17,5},{5,11,8},{10,1,648},{0,14,2},{0,14,2},{0,9,101},{21,0,648},{0,9,101},{17,1,882},{4,19,5},{7,14,5},{0,14,5},{17,1,882},{27,4,882},{0,14,5},{0,12,900},{27,4,882},{0,12,900},{2,0,785},{2,0,785},{2,0,785},{2,0,785},{0,14,1},{0,14,1},{0,14,1},{0,7,1},{0,6,305},
{0,6,305},{3,31,1814},{3,22,968},{4,16,1314},{3,15,945},{1,29,3055},{0,19,936},{1,15,17},{0,12,1314},{0,15,4321},{0,12,2007},{6,26,885},{6,20,10},{6,16,101},{5,15,179},{15,2,3051},{0,19,900},{1,15,13},{0,12,1278},{31,0,3051},{0,12,1278},{3,25,900},{3,25,900},{3,25,900},{3,14,900},{1,22,654},{1,15,8},{1,15,8},{0,10,76},{0,11,1296},{0,9,425},{6,19,1},
{6,19,1},{6,19,1},{6,12,5},{12,0,648},{1,15,4},{1,15,4},{0,10,40},{24,0,648},{0,10,40},{19,0,884},{6,20,9},{8,15,10},{1,15,9},{19,0,884},{30,4,884},{1,15,9},{0,13,890},{30,4,884},{0,13,890},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{1,16,5},{1,16,5},{1,16,5},{1,8,8},{0,7,269},{0,7,269},{5,31,1838},{4,23,948},{5,17,1314},
{4,16,943},{2,30,3055},{1,20,936},{2,16,13},{1,13,1314},{0,16,4056},{0,13,1620},{7,27,885},{7,21,10},{7,17,101},{6,16,197},{17,0,3051},{0,21,891},{2,16,9},{0,13,1179},{30,2,3051},{0,13,1179},{4,26,891},{4,26,891},{4,26,891},{4,15,891},{2,23,654},{2,16,9},{2,16,9},{1,11,76},{0,13,1107},{0,10,273},{7,20,2},{7,20,2},{7,20,2},{7,13,5},{13,1,648},
{3,15,5},{3,15,5},{0,11,20},{27,0,648},{0,11,20},{20,1,884},{7,21,9},{9,16,5},{2,16,5},{20,1,884},{31,5,884},{2,16,5},{0,14,890},{31,5,884},{0,14,890},{4,0,890},{4,0,890},{4,0,890},{4,0,890},{2,17,5},{2,17,5},{2,17,5},{2,9,8},{0,9,149},{0,9,149},{6,31,1868},{5,24,948},{6,18,1314},{5,17,943},{3,31,3055},{2,21,936},{3,17,13},
{2,14,1314},{0,18,3825},{0,14,1354},{8,28,886},{8,22,20},{8,18,89},{7,17,197},{18,1,3051},{1,22,891},{3,17,9},{0,14,1098},{31,3,3051},{0,14,1098},{5,27,891},{5,27,891},{5,27,891},{5,16,891},{3,24,652},{3,17,9},{3,17,9},{2,12,86},{0,14,976},{0,12,126},{8,20,5},{8,20,5},{8,20,5},{8,14,8},{15,0,648},{4,16,5},{4,16,5},{0,12,5},{30,0,648},
{0,12,5},{20,4,882},{7,23,10},{10,17,5},{3,17,5},{20,4,882},{28,8,882},{3,17,5},{0,15,890},{28,8,882},{0,15,890},{5,0,890},{5,0,890},{5,0,890},{5,0,890},{3,18,5},{3,18,5},{3,18,5},{3,10,8},{0,11,80},{0,11,80},{7,31,1908},{6,25,948},{7,19,1314},{6,18,943},{4,31,3084},{3,22,936},{4,18,15},{3,15,1314},{0,19,3640},{0,15,1175},{9,29,886},
{9,23,20},{9,19,89},{8,18,184},{20,0,3048},{2,23,891},{4,18,6},{0,15,1054},{24,8,3048},{0,15,1054},{6,28,891},{6,28,891},{6,28,891},{6,17,891},{4,25,657},{4,18,11},{4,18,11},{3,13,86},{0,16,852},{0,13,27},{9,21,5},{9,21,5},{9,21,5},{9,15,8},{16,1,648},{4,18,2},{4,18,2},{0,13,2},{31,1,648},{0,13,2},{21,5,882},{8,23,5},{11,18,5},
{4,18,5},{21,5,882},{31,8,882},{4,18,5},{0,16,900},{31,8,882},{0,16,900},{6,0,890},{6,0,890},{6,0,890},{6,0,890},{4,18,10},{4,18,10},{4,18,10},{4,11,10},{0,13,26},{0,13,26},{8,31,1998},{7,26,968},{8,20,1314},{7,19,945},{6,31,3160},{4,23,936},{5,19,17},{4,16,1314},{0,21,3420},{0,16,1028},{10,30,885},{10,24,10},{10,20,101},{9,19,179},{22,0,3051},
{3,24,891},{5,19,13},{0,16,1003},{30,7,3051},{0,16,1003},{7,29,900},{7,29,900},{7,29,900},{7,18,900},{5,26,654},{5,19,8},{5,19,8},{4,14,76},{0,18,750},{1,14,24},{10,23,1},{10,23,1},{10,23,1},{10,16,5},{16,4,648},{5,19,4},{5,19,4},{2,14,5},{28,4,648},{2,14,5},{25,0,884},{10,24,9},{12,19,10},{5,19,9},{25,0,884},{30,10,884},{5,19,9},
{0,17,890},{30,10,884},{0,17,890},{7,0,900},{7,0,900},{7,0,900},{7,0,900},{5,20,5},{5,20,5},{5,20,5},{5,12,8},{0,15,5},{0,15,5},{9,31,2124},{8,27,948},{9,21,1314},{8,20,943},{7,31,3196},{5,24,936},{6,20,13},{5,17,1314},{0,23,3307},{0,17,971},{11,31,885},{11,25,10},{11,21,101},{10,20,197},{23,0,3051},{4,25,891},{6,20,9},{0,17,970},{30,8,3051},
{0,17,970},{8,30,891},{8,30,891},{8,30,891},{8,19,891},{6,27,654},{6,20,9},{6,20,9},{5,15,76},{0,19,691},{2,15,24},{11,24,2},{11,24,2},{11,24,2},{11,17,5},{17,5,648},{7,19,5},{7,19,5},{3,15,5},{31,4,648},{3,15,5},{26,1,884},{11,25,9},{13,20,5},{6,20,5},{26,1,884},{31,11,884},{6,20,5},{0,18,890},{31,11,884},{0,18,890},{8,0,890},
{8,0,890},{8,0,890},{8,0,890},{6,21,5},{6,21,5},{6,21,5},{6,13,8},{1,16,5},{1,16,5},{10,31,2286},{9,28,948},{10,22,1314},{9,21,943},{8,31,3277},{6,25,936},{7,21,13},{6,18,1314},{0,24,3196},{0,19,948},{12,31,904},{12,26,20},{12,22,89},{11,21,197},{24,1,3051},{5,26,891},{7,21,9},{0,19,939},{31,9,3051},{0,19,939},{9,31,891},{9,31,891},{9,31,891},
{9,20,891},{7,28,652},{7,21,9},{7,21,9},{6,16,86},{0,21,652},{2,16,18},{12,24,5},{12,24,5},{12,24,5},{12,18,8},{21,0,648},{8,20,5},{8,20,5},{3,16,2},{30,6,648},{3,16,2},{28,0,882},{11,27,10},{14,21,5},{7,21,5},{28,0,882},{24,16,882},{7,21,5},{0,19,890},{24,16,882},{0,19,890},{9,0,890},{9,0,890},{9,0,890},{9,0,890},{7,22,5},
{7,22,5},{7,22,5},{7,14,8},{2,17,5},{2,17,5},{11,31,2414},{10,29,948},{11,23,1314},{10,22,943},{9,31,3412},{7,26,936},{8,22,15},{7,19,1314},{0,26,3115},{1,20,958},{13,31,958},{13,27,20},{13,23,89},{12,22,184},{24,4,3048},{6,27,891},{8,22,6},{0,20,925},{28,12,3048},{0,20,925},{10,31,894},{10,31,894},{10,31,894},{10,21,891},{8,29,657},{8,22,11},{8,22,11},
{7,17,86},{1,22,652},{3,17,18},{13,25,5},{13,25,5},{13,25,5},{13,19,8},{22,1,648},{8,22,2},{8,22,2},{4,17,2},{31,7,648},{4,17,2},{29,1,882},{12,27,5},{15,22,5},{8,22,5},{29,1,882},{27,16,882},{8,22,5},{0,20,900},{27,16,882},{0,20,900},{10,0,890},{10,0,890},{10,0,890},{10,0,890},{8,22,10},{8,22,10},{8,22,10},{8,15,10},{3,18,5},
{3,18,5},{13,31,2606},{11,30,968},{12,24,1314},{11,23,945},{11,31,3519},{8,27,936},{9,23,17},{8,20,1314},{0,28,3085},{2,21,942},{15,31,995},{14,28,10},{14,24,101},{13,23,179},{27,2,3051},{7,28,891},{9,23,13},{0,21,891},{31,12,3051},{0,21,891},{11,31,925},{11,31,925},{11,31,925},{11,22,900},{9,30,654},{9,23,8},{9,23,8},{8,18,76},{2,23,651},{5,18,24},{14,27,1},
{14,27,1},{14,27,1},{14,20,5},{24,0,648},{9,23,4},{9,23,4},{6,18,5},{24,12,648},{6,18,5},{31,0,884},{14,28,9},{16,23,10},{9,23,9},{31,0,884},{30,16,884},{9,23,9},{0,21,890},{30,16,884},{0,21,890},{11,0,900},{11,0,900},{11,0,900},{11,0,900},{9,24,5},{9,24,5},{9,24,5},{9,16,8},{4,19,5},{4,19,5},{14,31,2804},{12,31,948},{13,25,1314},
{12,24,943},{12,31,3652},{9,28,936},{10,24,13},{9,21,1314},{0,29,3052},{3,22,942},{16,31,1054},{15,29,10},{15,25,101},{14,24,197},{29,0,3051},{8,29,891},{10,24,9},{1,22,891},{30,14,3051},{1,22,891},{12,31,939},{12,31,939},{12,31,939},{12,23,891},{10,31,654},{10,24,9},{10,24,9},{9,19,76},{3,24,652},{6,19,24},{15,28,2},{15,28,2},{15,28,2},{15,21,5},{25,1,648},
{11,23,5},{11,23,5},{7,19,5},{27,12,648},{7,19,5},{31,3,884},{15,29,9},{17,24,5},{10,24,5},{31,3,884},{31,17,884},{10,24,5},{0,22,890},{31,17,884},{0,22,890},{12,0,890},{12,0,890},{12,0,890},{12,0,890},{10,25,5},{10,25,5},{10,25,5},{10,17,8},{5,20,5},{5,20,5},{15,31,2956},{14,31,979},{14,26,1314},{13,25,943},{13,31,3841},{10,29,936},{11,25,13},
{10,22,1314},{1,30,3052},{4,23,948},{17,31,1144},{16,30,20},{16,26,89},{15,25,197},{30,1,3051},{9,30,891},{11,25,9},{2,23,891},{31,15,3051},{2,23,891},{14,31,979},{14,31,979},{14,31,979},{13,24,891},{11,31,670},{11,25,9},{11,25,9},{10,20,86},{4,25,652},{6,20,18},{16,28,5},{16,28,5},{16,28,5},{16,22,8},{27,0,648},{12,24,5},{12,24,5},{7,20,2},{30,12,648},
{7,20,2},{28,12,882},{15,31,10},{18,25,5},{11,25,5},{28,12,882},{28,20,882},{11,25,5},{0,23,890},{28,20,882},{0,23,890},{13,0,890},{13,0,890},{13,0,890},{13,0,890},{11,26,5},{11,26,5},{11,26,5},{11,18,8},{6,21,5},{6,21,5},{16,31,3182},{15,31,1028},{15,27,1314},{14,26,943},{15,31,4020},{11,30,936},{12,26,15},{11,23,1314},{2,31,3052},{5,24,958},{18,31,1270},
{17,31,20},{17,27,89},{16,26,184},{28,8,3048},{10,31,891},{12,26,6},{2,24,901},{24,20,3048},{2,24,901},{15,31,1003},{15,31,1003},{15,31,1003},{14,25,891},{12,31,707},{12,26,11},{12,26,11},{11,21,86},{5,26,652},{7,21,18},{17,29,5},{17,29,5},{17,29,5},{17,23,8},{28,1,648},{12,26,2},{12,26,2},{8,21,2},{31,13,648},{8,21,2},{29,13,882},{16,31,5},{19,26,5},
{12,26,5},{29,13,882},{31,20,882},{12,26,5},{0,24,900},{31,20,882},{0,24,900},{14,0,890},{14,0,890},{14,0,890},{14,0,890},{12,26,10},{12,26,10},{12,26,10},{12,19,10},{7,22,5},{7,22,5},{17,31,3508},{16,31,1175},{16,28,1314},{15,27,945},{16,31,4209},{12,31,936},{13,27,17},{12,24,1314},{4,31,3100},{6,25,942},{20,31,1368},{18,31,37},{18,28,101},{17,27,179},{31,6,3051},
{12,31,900},{13,27,13},{4,25,891},{30,19,3051},{4,25,891},{16,31,1054},{16,31,1054},{16,31,1054},{15,26,900},{14,31,780},{13,27,8},{13,27,8},{12,22,76},{6,27,651},{9,22,24},{18,31,1},{18,31,1},{18,31,1},{18,24,5},{28,4,648},{13,27,4},{13,27,4},{10,22,5},{28,16,648},{10,22,5},{31,12,884},{18,31,36},{20,27,10},{13,27,9},{31,12,884},{30,22,884},{13,27,9},
{0,25,890},{30,22,884},{0,25,890},{15,0,900},{15,0,900},{15,0,900},{15,0,900},{13,28,5},{13,28,5},{13,28,5},{13,20,8},{8,23,5},{8,23,5},{19,31,3790},{17,31,1412},{17,29,1314},{16,28,943},{17,31,4452},{14,31,954},{14,28,13},{13,25,1314},{7,31,3196},{7,26,942},{21,31,1494},{19,31,126},{19,29,101},{18,28,197},{31,8,3051},{14,31,950},{14,28,9},{5,26,891},{30,20,3051},
{5,26,891},{17,31,1123},{17,31,1123},{17,31,1123},{16,27,891},{15,31,820},{14,28,9},{14,28,9},{13,23,76},{7,28,652},{10,23,24},{19,31,5},{19,31,5},{19,31,5},{19,25,5},{29,5,648},{15,27,5},{15,27,5},{11,23,5},{31,16,648},{11,23,5},{31,15,884},{20,31,80},{21,28,5},{14,28,5},{31,15,884},{31,23,884},{14,28,5},{0,26,890},{31,23,884},{0,26,890},{16,0,890},
{16,0,890},{16,0,890},{16,0,890},{14,29,5},{14,29,5},{14,29,5},{14,21,8},{9,24,5},{9,24,5},{20,31,4072},{18,31,1694},{18,30,1314},{17,29,943},{19,31,4705},{15,31,1064},{15,29,13},{14,26,1314},{8,31,3355},{8,27,948},{22,31,1656},{20,31,276},{20,30,89},{19,29,197},{31,11,3051},{16,31,1054},{15,29,9},{6,27,891},{31,21,3051},{6,27,891},{18,31,1210},{18,31,1210},{18,31,1210},
{17,28,891},{16,31,897},{15,29,9},{15,29,9},{14,24,86},{8,29,652},{10,24,18},{20,31,20},{20,31,20},{20,31,20},{20,26,8},{31,4,648},{16,28,5},{16,28,5},{11,24,2},{30,18,648},{11,24,2},{28,24,882},{22,31,157},{22,29,5},{15,29,5},{28,24,882},{24,28,882},{15,29,5},{0,27,890},{24,28,882},{0,27,890},{17,0,890},{17,0,890},{17,0,890},{17,0,890},{15,30,5},
{15,30,5},{15,30,5},{15,22,8},{10,25,5},{10,25,5},{21,31,4390},{19,31,2007},{19,31,1314},{18,30,943},{20,31,4932},{16,31,1287},{16,30,15},{15,27,1314},{11,31,3547},{9,28,958},{23,31,1784},{22,31,465},{21,31,89},{20,30,184},{28,20,3048},{18,31,1188},{16,30,6},{6,28,901},{28,24,3048},{6,28,901},{19,31,1278},{19,31,1278},{19,31,1278},{18,29,891},{17,31,1011},{16,30,11},{16,30,11},
{15,25,86},{9,30,652},{11,25,18},{21,31,53},{21,31,53},{21,31,53},{21,27,8},{31,7,648},{16,30,2},{16,30,2},{12,25,2},{31,19,648},{12,25,2},{29,25,882},{24,31,269},{23,30,5},{16,30,5},{29,25,882},{27,28,882},{16,30,5},{0,28,900},{27,28,882},{0,28,900},{18,0,890},{18,0,890},{18,0,890},{18,0,890},{16,30,10},{16,30,10},{16,30,10},{16,23,10},{11,26,5},
{11,26,5},{22,31,4471},{20,31,2295},{20,31,1395},{19,31,936},{21,31,4906},{18,31,1414},{17,31,8},{16,28,1161},{13,31,3570},{11,28,818},{24,31,1769},{23,31,590},{23,31,106},{22,30,146},{29,21,2814},{19,31,1206},{17,31,4},{8,29,786},{31,24,2814},{8,29,786},{20,31,1395},{20,31,1395},{20,31,1395},{19,30,900},{19,31,1134},{17,31,8},{17,31,8},{16,26,76},{10,31,651},{13,26,24},{23,31,106},
{23,31,106},{23,31,106},{22,28,5},{28,16,648},{17,31,4},{17,31,4},{14,26,5},{24,24,648},{14,26,5},{31,24,761},{26,31,317},{24,31,1},{17,31,0},{31,24,761},{30,28,761},{17,31,0},{0,29,785},{30,28,761},{0,29,785},{19,0,900},{19,0,900},{19,0,900},{19,0,900},{17,31,8},{17,31,8},{17,31,8},{17,24,8},{12,27,5},{12,27,5},{23,31,3955},{22,31,2260},{21,31,1530},
{20,31,891},{22,31,4375},{19,31,1194},{18,31,54},{17,28,805},{15,31,3075},{12,29,498},{25,31,1417},{24,31,510},{24,31,149},{23,30,74},{31,19,2249},{21,31,937},{19,31,5},{11,29,482},{31,25,2249},{11,29,482},{21,31,1530},{21,31,1530},{21,31,1530},{20,31,891},{20,31,1251},{18,31,54},{18,31,54},{17,27,76},{12,31,691},{14,27,24},{24,31,149},{24,31,149},{24,31,149},{23,29,5},{29,17,648},
{19,31,5},{19,31,5},{15,27,5},{27,24,648},{15,27,5},{29,29,481},{27,31,202},{25,31,4},{20,31,1},{29,29,481},{31,28,481},{20,31,1},{0,29,481},{31,28,481},{0,29,481},{20,0,890},{20,0,890},{20,0,890},{20,0,890},{18,31,29},{18,31,29},{18,31,29},{18,25,8},{13,28,5},{13,28,5},{24,31,3609},{23,31,2199},{22,31,1683},{21,31,915},{23,31,3827},{20,31,1071},{19,31,153},
{18,29,485},{16,31,2690},{13,30,306},{26,31,1133},{25,31,489},{25,31,200},{24,31,20},{29,25,1769},{22,31,710},{21,31,41},{12,30,290},{27,28,1769},{12,30,290},{22,31,1683},{22,31,1683},{22,31,1683},{21,31,915},{21,31,1401},{19,31,153},{19,31,153},{18,28,86},{14,31,769},{14,28,18},{25,31,200},{25,31,200},{25,31,200},{24,30,8},{31,16,648},{21,31,41},{21,31,41},{15,28,2},{30,24,648},
{15,28,2},{31,27,265},{28,31,113},{27,31,1},{23,31,1},{31,27,265},{31,29,265},{23,31,1},{0,30,289},{31,29,265},{0,30,289},{21,0,890},{21,0,890},{21,0,890},{21,0,890},{19,31,53},{19,31,53},{19,31,53},{19,26,8},{14,29,5},{14,29,5},{24,31,3305},{24,31,2222},{23,31,1795},{22,31,990},{24,31,3438},{22,31,1087},{21,31,306},{19,30,293},{18,31,2403},{15,30,118},{27,31,857},
{26,31,465},{26,31,269},{25,31,8},{31,23,1374},{24,31,546},{23,31,98},{14,30,114},{31,27,1374},{14,30,114},{23,31,1795},{23,31,1795},{23,31,1795},{22,31,990},{22,31,1587},{21,31,306},{21,31,306},{19,29,86},{16,31,897},{15,29,18},{26,31,269},{26,31,269},{26,31,269},{25,31,8},{31,19,648},{23,31,98},{23,31,98},{16,29,2},{31,25,648},{16,29,2},{31,28,113},{29,31,52},{28,31,1},
{26,31,1},{31,28,113},{30,30,113},{26,31,1},{0,30,113},{30,30,113},{0,30,113},{22,0,890},{22,0,890},{22,0,890},{22,0,890},{20,31,90},{20,31,90},{20,31,90},{20,27,10},{15,30,5},{15,30,5},{25,31,3092},{25,31,2292},{24,31,1978},{24,31,1123},{25,31,3124},{23,31,1068},{22,31,525},{20,30,140},{20,31,2196},{16,31,41},{28,31,680},{27,31,458},{27,31,337},{26,31,65},{29,29,1032},
{26,31,456},{24,31,185},{16,31,37},{31,28,1032},{16,31,37},{24,31,1978},{24,31,1978},{24,31,1978},{24,31,1123},{24,31,1769},{22,31,525},{22,31,525},{20,30,76},{18,31,1080},{17,30,24},{27,31,337},{27,31,337},{27,31,337},{26,31,65},{28,28,648},{24,31,185},{24,31,185},{18,30,5},{28,28,648},{18,30,5},{31,30,18},{30,31,9},{30,31,0},{29,31,0},{31,30,18},{30,31,18},{29,31,0},
{0,31,36},{30,31,18},{0,31,36},{23,0,900},{23,0,900},{23,0,900},{23,0,900},{22,31,164},{22,31,164},{22,31,164},{21,28,8},{16,31,5},{16,31,5},{27,31,2818},{26,31,2254},{25,31,2043},{25,31,1243},{26,31,2829},{24,31,1099},{23,31,684},{21,31,72},{22,31,2007},{18,31,20},{29,31,566},{28,31,420},{28,31,356},{27,31,122},{31,27,771},{27,31,386},{26,31,232},{19,31,1},{31,29,771},
{19,31,1},{25,31,2043},{25,31,2043},{25,31,2043},{25,31,1243},{25,31,1819},{23,31,684},{23,31,684},{21,31,72},{20,31,1172},{18,31,20},{28,31,356},{28,31,356},{28,31,356},{27,31,122},{31,25,578},{26,31,232},{26,31,232},{19,31,1},{27,30,578},{19,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{24,0,890},
{24,0,890},{24,0,890},{24,0,890},{23,31,200},{23,31,200},{23,31,200},{22,29,8},{18,31,20},{18,31,20},{27,31,2242},{27,31,1879},{26,31,1738},{26,31,1150},{27,31,2209},{24,31,987},{24,31,626},{23,31,20},{23,31,1560},{19,31,53},{29,31,342},{29,31,257},{29,31,221},{28,31,68},{31,28,452},{28,31,228},{27,31,137},{22,31,1},{30,30,452},{22,31,1},{26,31,1738},{26,31,1738},{26,31,1738},
{26,31,1150},{25,31,1499},{24,31,626},{24,31,626},{23,31,20},{22,31,950},{19,31,53},{29,31,221},{29,31,221},{29,31,221},{28,31,68},{31,26,340},{27,31,137},{27,31,137},{22,31,1},{30,29,340},{22,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{25,0,890},{25,0,890},{25,0,890},{25,0,890},{24,31,265},
{24,31,265},{24,31,265},{23,30,8},{19,31,53},{19,31,53},{28,31,1844},{27,31,1559},{27,31,1438},{27,31,1075},{27,31,1713},{26,31,853},{25,31,635},{24,31,10},{24,31,1207},{21,31,125},{30,31,172},{30,31,145},{29,31,125},{29,31,40},{31,29,216},{29,31,121},{28,31,68},{24,31,1},{31,30,216},{24,31,1},{27,31,1438},{27,31,1438},{27,31,1438},{27,31,1075},{27,31,1229},{25,31,635},{25,31,635},
{24,31,10},{23,31,756},{21,31,125},{29,31,125},{29,31,125},{29,31,125},{29,31,40},{31,28,164},{28,31,68},{28,31,68},{24,31,1},{30,30,164},{24,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{26,0,890},{26,0,890},{26,0,890},{26,0,890},{25,31,346},{25,31,346},{25,31,346},{24,31,10},{21,31,125},
{21,31,125},{0,19,1568},{0,13,202},{0,10,13},{0,8,596},{0,13,3371},{0,9,2162},{0,8,1080},{0,5,2539},{0,6,3648},{0,5,2708},{0,19,1568},{0,13,202},{0,10,13},{0,8,596},{6,1,3371},{0,9,2162},{0,8,1080},{0,5,2539},{13,0,3371},{0,5,2539},{0,9,0},{0,9,0},{0,9,0},{0,4,4},{0,4,290},{0,4,125},{0,4,125},{0,2,164},{0,2,321},{0,2,189},{0,9,0},
{0,9,0},{0,9,0},{0,4,4},{2,1,290},{0,4,125},{0,4,125},{0,2,164},{4,0,290},{0,2,164},{9,1,1568},{0,13,202},{0,10,13},{0,8,596},{9,1,1568},{19,0,1568},{0,8,596},{0,6,1586},{19,0,1568},{0,6,1586},{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},{0,22,1568},{0,15,117},{0,11,8},
{0,9,485},{0,15,3971},{0,10,2369},{0,9,1061},{0,6,2834},{0,7,4341},{0,6,3090},{0,22,1568},{0,15,117},{0,11,8},{0,9,485},{7,1,3968},{0,10,2369},{0,9,1061},{0,6,2834},{11,2,3968},{0,6,2834},{0,12,1},{0,12,1},{0,12,1},{0,6,0},{0,6,512},{0,5,194},{0,5,194},{0,3,320},{0,3,576},{0,2,381},{0,12,1},{0,12,1},{0,12,1},{0,6,0},{3,0,512},
{0,5,194},{0,5,194},{0,3,320},{6,0,512},{0,3,320},{11,0,1568},{0,15,117},{0,11,8},{0,9,485},{11,0,1568},{22,0,1568},{0,9,485},{0,7,1586},{22,0,1568},{0,7,1586},{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},{0,25,1568},{0,17,45},{0,12,58},{0,10,392},{0,17,4652},{0,11,2596},{0,10,1121},
{0,7,3254},{0,8,5140},{0,6,3570},{0,25,1568},{0,17,45},{0,12,58},{0,10,392},{8,1,4652},{0,11,2596},{0,10,1121},{0,7,3254},{17,0,4652},{0,7,3254},{0,15,1},{0,15,1},{0,15,1},{0,7,4},{0,7,802},{0,6,320},{0,6,320},{0,3,512},{0,3,896},{0,3,576},{0,15,1},{0,15,1},{0,15,1},{0,7,4},{3,2,802},{0,6,320},{0,6,320},{0,3,512},{7,0,802},
{0,3,512},{12,1,1568},{0,17,45},{1,12,13},{0,10,392},{12,1,1568},{25,0,1568},{0,10,392},{0,8,1576},{25,0,1568},{0,8,1576},{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},{0,28,1570},{0,19,16},{0,13,178},{0,11,340},{0,19,5424},{0,13,2843},{0,11,1240},{0,8,3704},{0,9,6003},{0,7,4095},{0,28,1570},
{0,19,16},{1,13,122},{0,11,340},{7,5,5419},{0,13,2843},{0,11,1240},{0,8,3704},{15,2,5419},{0,8,3704},{0,18,1},{0,18,1},{0,18,1},{0,9,1},{0,9,1152},{0,7,461},{0,7,461},{0,4,709},{0,4,1281},{0,4,830},{0,18,1},{0,18,1},{0,18,1},{0,9,1},{4,1,1152},{0,7,461},{0,7,461},{0,4,709},{9,0,1152},{0,4,709},{14,0,1568},{0,19,16},{2,13,13},
{0,11,340},{14,0,1568},{26,1,1568},{0,11,340},{0,9,1576},{26,1,1568},{0,9,1576},{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},{1,29,1633},{1,20,75},{1,14,265},{0,13,313},{0,22,5419},{0,14,2571},{0,12,853},{0,9,3410},{0,10,6244},{0,9,3986},{1,29,1569},{1,20,11},{2,14,117},{0,13,313},{11,0,5419},
{0,14,2571},{0,12,853},{0,9,3410},{22,0,5419},{0,9,3410},{1,19,65},{1,19,65},{1,19,65},{1,10,65},{0,12,1152},{0,9,289},{0,9,289},{0,5,580},{0,5,1393},{0,5,749},{1,19,1},{1,19,1},{1,19,1},{1,10,1},{4,4,1152},{0,9,289},{0,9,289},{0,5,580},{12,0,1152},{0,5,580},{13,5,1568},{0,21,4},{3,14,13},{0,13,232},{13,5,1568},{31,0,1568},{0,13,232},
{0,10,1586},{31,0,1568},{0,10,1586},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,3,1},{0,3,1},{0,3,1},{0,2,1},{0,1,20},{0,1,20},{1,31,1731},{1,22,149},{2,15,457},{1,14,377},{0,25,5419},{0,16,2347},{0,13,556},{0,10,3179},{0,11,6495},{0,9,3890},{2,30,1569},{2,21,11},{3,15,117},{1,14,313},{12,1,5419},{0,16,2347},{0,13,556},{0,10,3179},{25,0,5419},
{0,10,3179},{1,22,145},{1,22,145},{1,22,145},{1,11,154},{0,15,1152},{0,11,194},{0,11,194},{0,6,481},{0,7,1531},{0,6,737},{2,20,1},{2,20,1},{2,20,1},{2,11,1},{5,5,1152},{0,11,194},{0,11,194},{0,6,481},{15,0,1152},{0,6,481},{17,0,1568},{1,22,4},{4,15,8},{0,14,157},{17,0,1568},{30,2,1568},{0,14,157},{0,11,1586},{30,2,1568},{0,11,1586},{1,0,145},
{1,0,145},{1,0,145},{1,0,145},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{0,3,65},{0,3,65},{2,31,1977},{2,23,341},{2,16,707},{1,15,510},{0,28,5424},{0,17,2137},{0,15,373},{0,11,3035},{0,13,6709},{0,10,3860},{3,31,1569},{3,22,11},{4,16,122},{2,15,313},{14,0,5419},{0,17,2137},{0,15,373},{0,11,3035},{26,1,5419},{0,11,3035},{2,23,337},{2,23,337},{2,23,337},
{2,12,341},{0,18,1152},{0,13,104},{0,13,104},{0,8,410},{0,8,1686},{0,7,786},{3,21,1},{3,21,1},{3,21,1},{3,12,2},{9,0,1152},{0,13,104},{0,13,104},{0,8,410},{18,0,1152},{0,8,410},{18,1,1568},{2,23,4},{5,16,13},{0,15,117},{18,1,1568},{31,3,1568},{0,15,117},{0,12,1576},{31,3,1568},{0,12,1576},{2,0,337},{2,0,337},{2,0,337},{2,0,337},{0,9,1},
{0,9,1},{0,9,1},{0,5,4},{0,4,130},{0,4,130},{3,31,2353},{2,24,570},{3,17,1027},{2,16,714},{0,31,5424},{0,19,1979},{0,16,195},{0,12,2857},{0,14,7039},{0,11,3919},{4,31,1576},{4,23,16},{5,17,122},{3,16,331},{15,1,5419},{0,19,1979},{0,16,195},{0,12,2857},{27,2,5419},{0,12,2857},{2,26,546},{2,26,546},{2,26,546},{2,14,546},{0,21,1152},{0,14,50},{0,14,50},
{0,9,305},{0,9,1856},{0,8,830},{4,22,1},{4,22,1},{4,22,1},{4,13,1},{10,1,1152},{0,14,50},{0,14,50},{0,9,305},{21,0,1152},{0,9,305},{19,2,1568},{3,24,10},{6,17,13},{0,16,74},{19,2,1568},{30,5,1568},{0,16,74},{0,13,1576},{30,5,1568},{0,13,1576},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,12,0},{0,12,0},{0,12,0},{0,6,1},{0,5,205},
{0,5,205},{4,31,2980},{3,26,925},{3,19,1484},{2,17,1032},{1,31,5504},{0,21,1811},{0,17,61},{0,13,2651},{0,16,7420},{0,13,3876},{6,31,1619},{5,24,11},{6,18,117},{4,17,313},{17,0,5419},{0,21,1811},{0,17,61},{0,13,2651},{30,2,5419},{0,13,2651},{3,27,900},{3,27,900},{3,27,900},{3,15,900},{0,24,1152},{0,16,8},{0,16,8},{0,10,208},{0,11,2124},{0,9,881},{5,23,1},
{5,23,1},{5,23,1},{5,14,1},{12,0,1152},{0,16,8},{0,16,8},{0,10,208},{24,0,1152},{0,10,208},{21,1,1568},{4,25,4},{7,18,13},{0,17,45},{21,1,1568},{27,8,1568},{0,17,45},{0,14,1586},{27,8,1568},{0,14,1586},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{0,15,1},{0,15,1},{0,15,1},{0,8,4},{0,6,356},{0,6,356},{4,31,3668},{3,27,1320},{4,20,1940},
{3,18,1352},{2,31,5771},{0,23,1737},{0,18,37},{0,14,2486},{0,17,7711},{0,14,3930},{7,31,1635},{6,25,11},{7,19,117},{5,18,313},{18,1,5419},{0,23,1737},{0,18,37},{0,14,2486},{31,3,5419},{0,14,2486},{3,30,1252},{3,30,1252},{3,30,1252},{3,16,1256},{0,27,1152},{0,18,1},{0,18,1},{0,11,164},{0,12,2369},{0,10,1001},{6,24,1},{6,24,1},{6,24,1},{6,15,1},{13,1,1152},
{0,18,1},{0,18,1},{0,11,164},{27,0,1152},{0,11,164},{23,0,1568},{5,26,4},{8,19,8},{0,18,36},{23,0,1568},{30,8,1568},{0,18,36},{0,15,1586},{30,8,1568},{0,15,1586},{3,0,1252},{3,0,1252},{3,0,1252},{3,0,1252},{0,18,1},{0,18,1},{0,18,1},{0,9,1},{0,7,505},{0,7,505},{5,31,4346},{4,28,1644},{5,21,2372},{4,19,1703},{3,31,6079},{0,24,1644},{0,20,38},
{0,15,2390},{0,18,7969},{0,15,3907},{8,31,1682},{7,26,11},{8,20,122},{6,19,313},{19,2,5419},{0,24,1640},{0,20,34},{0,15,2386},{30,5,5419},{0,15,2386},{4,31,1587},{4,31,1587},{4,31,1587},{4,17,1590},{0,30,1156},{0,20,29},{0,20,29},{0,12,117},{0,13,2483},{0,11,1044},{7,25,1},{7,25,1},{7,25,1},{7,16,2},{15,0,1152},{1,19,1},{1,19,1},{0,12,113},{30,0,1152},
{0,12,113},{24,1,1568},{6,27,4},{9,20,13},{0,20,25},{24,1,1568},{31,9,1568},{0,20,25},{0,16,1576},{31,9,1568},{0,16,1576},{4,0,1586},{4,0,1586},{4,0,1586},{4,0,1586},{0,21,5},{0,21,5},{0,21,5},{0,11,8},{0,9,565},{0,9,565},{7,31,4580},{5,29,1644},{6,22,2372},{4,20,1692},{4,31,6228},{1,25,1644},{1,21,38},{1,16,2348},{0,20,7577},{0,16,3408},{9,31,1760},
{8,27,16},{9,21,122},{7,20,331},{19,5,5419},{0,26,1593},{2,20,27},{0,16,2252},{31,6,5419},{0,16,2252},{5,31,1590},{5,31,1590},{5,31,1590},{5,18,1590},{1,31,1156},{1,21,29},{1,21,29},{1,13,117},{0,15,2241},{0,13,699},{8,26,1},{8,26,1},{8,26,1},{8,17,1},{16,1,1152},{2,20,2},{2,20,2},{0,13,74},{31,1,1152},{0,13,74},{26,0,1568},{7,28,10},{10,21,13},
{0,21,10},{26,0,1568},{30,11,1568},{0,21,10},{0,17,1576},{30,11,1568},{0,17,1576},{5,0,1586},{5,0,1586},{5,0,1586},{5,0,1586},{1,22,5},{1,22,5},{1,22,5},{1,12,8},{0,10,433},{0,10,433},{8,31,4826},{6,30,1644},{7,23,2352},{6,21,1676},{5,31,6463},{2,26,1644},{2,22,38},{2,17,2348},{0,22,7196},{0,17,2863},{11,31,1865},{9,28,11},{10,22,117},{8,21,313},{23,0,5419},
{1,27,1586},{2,22,29},{0,18,2115},{30,8,5419},{0,18,2115},{6,31,1612},{6,31,1612},{6,31,1612},{6,19,1585},{3,30,1179},{3,21,29},{3,21,29},{2,14,122},{0,17,1953},{0,14,426},{9,27,1},{9,27,1},{9,27,1},{9,18,1},{16,4,1152},{3,21,4},{3,21,4},{0,15,49},{28,4,1152},{0,15,49},{25,5,1568},{8,29,4},{11,22,13},{1,22,4},{25,5,1568},{31,12,1568},{1,22,4},
{0,18,1586},{31,12,1568},{0,18,1586},{6,0,1576},{6,0,1576},{6,0,1576},{6,0,1576},{2,24,10},{2,24,10},{2,24,10},{2,13,10},{0,13,272},{0,13,272},{9,31,5108},{7,31,1644},{8,24,2372},{7,22,1676},{7,31,6660},{3,27,1644},{3,23,38},{3,18,2348},{0,23,6891},{0,18,2519},{12,31,1952},{10,29,11},{11,23,117},{9,22,313},{24,1,5419},{2,28,1584},{3,23,29},{0,19,2027},{31,9,5419},
{0,19,2027},{7,31,1640},{7,31,1640},{7,31,1640},{7,20,1580},{4,31,1188},{3,23,34},{3,23,34},{3,15,122},{0,19,1795},{0,15,261},{10,28,1},{10,28,1},{10,28,1},{10,19,1},{17,5,1152},{4,22,1},{4,22,1},{0,16,26},{31,4,1152},{0,16,26},{29,0,1568},{9,30,4},{12,23,8},{2,23,4},{29,0,1568},{30,14,1568},{2,23,4},{0,19,1586},{30,14,1568},{0,19,1586},{7,0,1576},
{7,0,1576},{7,0,1576},{7,0,1576},{3,24,10},{3,24,10},{3,24,10},{3,14,10},{0,14,170},{0,14,170},{10,31,5426},{8,31,1695},{9,25,2372},{8,23,1703},{8,31,6861},{4,28,1644},{4,24,38},{3,19,2372},{0,25,6573},{0,19,2268},{13,31,2066},{11,30,11},{12,24,122},{10,23,313},{26,0,5419},{3,29,1584},{4,24,34},{0,20,1937},{30,11,5419},{0,20,1937},{8,31,1686},{8,31,1686},{8,31,1686},
{8,21,1590},{5,31,1206},{4,24,29},{4,24,29},{4,16,117},{0,20,1602},{0,17,126},{11,29,1},{11,29,1},{11,29,1},{11,20,2},{21,0,1152},{5,23,1},{5,23,1},{0,17,5},{30,6,1152},{0,17,5},{30,1,1568},{10,31,4},{13,24,13},{3,24,10},{30,1,1568},{31,15,1568},{3,24,10},{0,20,1576},{31,15,1568},{0,20,1576},{8,0,1586},{8,0,1586},{8,0,1586},{8,0,1586},{4,25,5},
{4,25,5},{4,25,5},{4,15,8},{0,16,90},{0,16,90},{11,31,5658},{9,31,1836},{10,26,2372},{8,24,1692},{9,31,7116},{5,29,1644},{5,25,38},{5,20,2348},{0,26,6379},{0,21,2028},{14,31,2216},{12,31,16},{13,25,122},{11,24,331},{27,1,5419},{2,31,1584},{6,24,27},{0,21,1832},{27,14,5419},{0,21,1832},{9,31,1755},{9,31,1755},{9,31,1755},{9,22,1590},{6,31,1260},{5,25,29},{5,25,29},
{5,17,117},{0,22,1459},{0,18,38},{12,30,1},{12,30,1},{12,30,1},{12,21,1},{22,1,1152},{6,24,2},{6,24,2},{0,18,2},{31,7,1152},{0,18,2},{31,2,1568},{11,31,13},{14,25,13},{4,25,10},{31,2,1568},{30,17,1568},{4,25,10},{0,21,1576},{30,17,1568},{0,21,1576},{9,0,1586},{9,0,1586},{9,0,1586},{9,0,1586},{5,26,5},{5,26,5},{5,26,5},{5,16,8},{0,18,37},
{0,18,37},{12,31,6036},{11,31,2033},{11,27,2352},{10,25,1676},{11,31,7423},{6,30,1644},{6,26,38},{6,21,2348},{0,28,6109},{0,22,1794},{15,31,2371},{13,31,50},{14,26,117},{12,25,313},{29,0,5419},{5,31,1586},{6,26,29},{0,22,1730},{30,14,5419},{0,22,1730},{10,31,1865},{10,31,1865},{10,31,1865},{10,23,1585},{7,31,1339},{7,25,29},{7,25,29},{6,18,122},{0,23,1345},{0,19,16},{13,31,1},
{13,31,1},{13,31,1},{13,22,1},{24,0,1152},{7,25,4},{7,25,4},{2,19,1},{24,12,1152},{2,19,1},{29,9,1568},{14,31,41},{15,26,13},{5,26,4},{29,9,1568},{27,20,1568},{5,26,4},{0,22,1586},{27,20,1568},{0,22,1586},{10,0,1576},{10,0,1576},{10,0,1576},{10,0,1576},{6,28,10},{6,28,10},{6,28,10},{6,17,10},{0,20,13},{0,20,13},{13,31,6450},{12,31,2268},{12,28,2372},
{11,26,1676},{12,31,7676},{7,31,1644},{7,27,38},{7,22,2348},{0,30,5924},{0,23,1695},{17,31,2536},{15,31,139},{15,27,117},{13,26,313},{30,1,5419},{7,31,1635},{7,27,29},{0,23,1686},{31,15,5419},{0,23,1686},{11,31,1937},{11,31,1937},{11,31,1937},{11,24,1580},{9,31,1420},{7,27,34},{7,27,34},{7,19,122},{0,25,1234},{1,20,17},{14,31,10},{14,31,10},{14,31,10},{14,23,1},{25,1,1152},
{8,26,1},{8,26,1},{2,20,2},{27,12,1152},{2,20,2},{31,8,1568},{15,31,90},{16,27,8},{6,27,4},{31,8,1568},{30,20,1568},{6,27,4},{0,23,1586},{30,20,1568},{0,23,1586},{11,0,1576},{11,0,1576},{11,0,1576},{11,0,1576},{7,28,10},{7,28,10},{7,28,10},{7,18,10},{0,21,10},{0,21,10},{15,31,6772},{13,31,2595},{13,29,2372},{12,27,1703},{13,31,7985},{8,31,1725},{8,28,38},
{7,23,2372},{0,31,5773},{0,24,1644},{18,31,2722},{16,31,261},{16,28,122},{14,27,313},{31,2,5419},{8,31,1721},{8,28,34},{0,24,1640},{30,17,5419},{0,24,1640},{12,31,2027},{12,31,2027},{12,31,2027},{12,25,1590},{10,31,1510},{8,28,29},{8,28,29},{8,20,117},{0,27,1188},{2,21,17},{15,31,26},{15,31,26},{15,31,26},{15,24,2},{27,0,1152},{9,27,1},{9,27,1},{3,21,2},{30,12,1152},
{3,21,2},{31,11,1568},{17,31,180},{17,28,13},{7,28,10},{31,11,1568},{31,21,1568},{7,28,10},{0,24,1576},{31,21,1568},{0,24,1576},{12,0,1586},{12,0,1586},{12,0,1586},{12,0,1586},{8,29,5},{8,29,5},{8,29,5},{8,19,8},{1,22,10},{1,22,10},{16,31,7154},{14,31,2955},{14,30,2372},{12,28,1692},{14,31,8348},{10,31,1895},{9,29,38},{9,24,2348},{1,31,5956},{1,25,1644},{19,31,2866},
{17,31,468},{17,29,122},{15,28,331},{31,5,5419},{10,31,1859},{10,28,27},{0,25,1601},{31,18,5419},{0,25,1601},{13,31,2162},{13,31,2162},{13,31,2162},{13,26,1590},{11,31,1590},{9,29,29},{9,29,29},{9,21,117},{0,28,1161},{3,22,17},{16,31,49},{16,31,49},{16,31,49},{16,25,1},{28,1,1152},{10,28,2},{10,28,2},{4,22,2},{31,13,1152},{4,22,2},{31,14,1568},{19,31,277},{18,29,13},
{8,29,10},{31,14,1568},{30,23,1568},{8,29,10},{0,25,1576},{30,23,1568},{0,25,1576},{13,0,1586},{13,0,1586},{13,0,1586},{13,0,1586},{9,30,5},{9,30,5},{9,30,5},{9,20,8},{2,23,10},{2,23,10},{17,31,7636},{15,31,3408},{15,31,2352},{14,29,1676},{16,31,8673},{11,31,2187},{10,30,38},{10,25,2348},{3,31,6235},{2,26,1644},{20,31,3112},{19,31,754},{18,30,117},{16,29,313},{31,8,5419},
{12,31,2060},{10,30,29},{0,26,1587},{30,20,5419},{0,26,1587},{15,31,2252},{15,31,2252},{15,31,2252},{14,27,1585},{12,31,1740},{11,29,29},{11,29,29},{10,22,122},{0,30,1163},{4,23,16},{18,31,85},{18,31,85},{18,31,85},{17,26,1},{28,4,1152},{11,29,4},{11,29,4},{6,23,1},{28,16,1152},{6,23,1},{29,21,1568},{20,31,436},{19,30,13},{9,30,4},{29,21,1568},{31,24,1568},{9,30,4},
{0,26,1586},{31,24,1568},{0,26,1586},{14,0,1576},{14,0,1576},{14,0,1576},{14,0,1576},{10,31,13},{10,31,13},{10,31,13},{10,21,10},{3,24,10},{3,24,10},{18,31,8122},{16,31,3907},{16,31,2390},{15,30,1676},{17,31,9036},{12,31,2576},{11,31,38},{11,26,2348},{6,31,6555},{3,27,1644},{22,31,3392},{20,31,1044},{19,31,117},{17,30,313},{31,11,5419},{15,31,2284},{11,31,29},{0,27,1587},{31,21,5419},
{0,27,1587},{16,31,2386},{16,31,2386},{16,31,2386},{15,28,1580},{14,31,1924},{11,31,34},{11,31,34},{11,23,122},{1,31,1163},{5,24,17},{19,31,113},{19,31,113},{19,31,113},{18,27,1},{29,5,1152},{12,30,1},{12,30,1},{6,24,2},{31,16,1152},{6,24,2},{31,20,1568},{22,31,593},{20,31,8},{10,31,4},{31,20,1568},{30,26,1568},{10,31,4},{0,27,1586},{30,26,1568},{0,27,1586},{15,0,1576},
{15,0,1576},{15,0,1576},{15,0,1576},{11,31,25},{11,31,25},{11,31,25},{11,22,10},{4,25,10},{4,25,10},{19,31,7638},{17,31,4060},{17,31,2539},{16,30,1659},{18,31,8553},{14,31,2430},{13,31,37},{11,27,1940},{7,31,6120},{4,28,1320},{23,31,2996},{20,31,1064},{20,31,164},{19,30,186},{29,17,4803},{16,31,2018},{13,31,1},{1,28,1253},{27,24,4803},{1,28,1253},{17,31,2539},{17,31,2539},{17,31,2539},
{16,29,1590},{15,31,2028},{13,31,37},{13,31,37},{12,24,117},{3,31,1170},{6,25,17},{20,31,164},{20,31,164},{20,31,164},{19,28,2},{31,4,1152},{13,31,1},{13,31,1},{7,25,2},{30,18,1152},{7,25,2},{31,22,1250},{24,31,505},{22,31,0},{13,31,0},{31,22,1250},{30,27,1250},{13,31,0},{0,28,1252},{30,27,1250},{0,28,1252},{16,0,1586},{16,0,1586},{16,0,1586},{16,0,1586},{13,31,37},
{13,31,37},{13,31,37},{12,23,8},{5,26,10},{5,26,10},{20,31,7060},{19,31,3955},{18,31,2710},{17,31,1595},{19,31,7717},{15,31,2140},{14,31,77},{13,28,1480},{8,31,5539},{6,28,925},{23,31,2516},{22,31,945},{21,31,233},{20,30,100},{31,15,4056},{18,31,1656},{15,31,8},{4,28,900},{31,23,4056},{4,28,900},{18,31,2710},{18,31,2710},{18,31,2710},{17,30,1590},{16,31,2193},{14,31,77},{14,31,77},
{13,25,117},{5,31,1233},{7,26,17},{21,31,233},{21,31,233},{21,31,233},{20,29,1},{31,7,1152},{15,31,8},{15,31,8},{8,26,2},{31,19,1152},{8,26,2},{31,23,884},{25,31,370},{23,31,4},{16,31,1},{31,23,884},{31,27,884},{16,31,1},{0,28,900},{31,27,884},{0,28,900},{17,0,1586},{17,0,1586},{17,0,1586},{17,0,1586},{14,31,52},{14,31,52},{14,31,52},{13,24,8},{6,27,10},
{6,27,10},{21,31,6535},{20,31,3919},{19,31,2857},{18,31,1585},{20,31,6979},{16,31,1942},{15,31,195},{14,28,990},{11,31,4914},{7,29,562},{24,31,2045},{23,31,830},{22,31,338},{21,31,26},{29,21,3318},{19,31,1314},{17,31,52},{5,29,546},{31,24,3318},{5,29,546},{19,31,2857},{19,31,2857},{19,31,2857},{18,31,1585},{17,31,2436},{15,31,195},{15,31,195},{14,26,122},{7,31,1339},{8,27,16},{22,31,338},
{22,31,338},{22,31,338},{21,30,1},{28,16,1152},{17,31,52},{17,31,52},{10,27,1},{24,24,1152},{10,27,1},{31,25,545},{26,31,221},{25,31,0},{19,31,0},{31,25,545},{31,28,545},{19,31,0},{0,29,545},{31,28,545},{0,29,545},{18,0,1576},{18,0,1576},{18,0,1576},{18,0,1576},{15,31,74},{15,31,74},{15,31,74},{14,25,10},{7,28,10},{7,28,10},{22,31,6151},{20,31,3935},{20,31,3035},
{19,31,1640},{21,31,6458},{18,31,1902},{16,31,373},{15,29,670},{12,31,4499},{8,29,347},{25,31,1729},{24,31,786},{23,31,410},{22,31,1},{31,19,2753},{20,31,1094},{19,31,113},{8,29,338},{31,25,2753},{8,29,338},{20,31,3035},{20,31,3035},{20,31,3035},{19,31,1640},{19,31,2630},{16,31,373},{16,31,373},{15,27,122},{10,31,1483},{9,28,17},{23,31,410},{23,31,410},{23,31,410},{22,31,1},{29,17,1152},
{19,31,113},{19,31,113},{10,28,2},{27,24,1152},{10,28,2},{31,26,317},{27,31,130},{26,31,9},{22,31,0},{31,26,317},{30,29,317},{22,31,0},{0,29,337},{30,29,317},{0,29,337},{19,0,1576},{19,0,1576},{19,0,1576},{19,0,1576},{16,31,117},{16,31,117},{16,31,117},{15,26,10},{8,29,10},{8,29,10},{23,31,5691},{22,31,4004},{21,31,3254},{20,31,1755},{22,31,6023},{19,31,1830},{18,31,606},
{16,29,430},{14,31,4162},{9,30,155},{26,31,1481},{25,31,801},{24,31,505},{23,31,26},{29,25,2273},{22,31,914},{20,31,194},{9,30,146},{27,28,2273},{9,30,146},{21,31,3254},{21,31,3254},{21,31,3254},{20,31,1755},{20,31,2835},{18,31,606},{18,31,606},{16,28,117},{11,31,1665},{10,29,17},{24,31,505},{24,31,505},{24,31,505},{23,31,26},{31,16,1152},{20,31,194},{20,31,194},{11,29,2},{30,24,1152},
{11,29,2},{31,28,145},{28,31,65},{28,31,1},{25,31,0},{31,28,145},{30,30,145},{25,31,0},{0,30,145},{30,30,145},{0,30,145},{20,0,1586},{20,0,1586},{20,0,1586},{20,0,1586},{17,31,180},{17,31,180},{17,31,180},{16,27,8},{9,30,10},{9,30,10},{24,31,5421},{23,31,3999},{22,31,3491},{21,31,1947},{23,31,5539},{20,31,1879},{19,31,853},{17,30,238},{16,31,3922},{11,30,81},{27,31,1229},
{26,31,813},{26,31,617},{24,31,100},{31,23,1878},{23,31,822},{22,31,305},{12,30,66},{31,27,1878},{12,30,66},{22,31,3491},{22,31,3491},{22,31,3491},{21,31,1947},{21,31,3081},{19,31,853},{19,31,853},{17,29,117},{14,31,1905},{11,30,17},{26,31,617},{26,31,617},{26,31,617},{24,31,100},{31,19,1152},{22,31,305},{22,31,305},{12,30,2},{31,25,1152},{12,30,2},{31,29,45},{30,31,18},{29,31,4},
{28,31,1},{31,29,45},{31,30,45},{28,31,1},{0,30,65},{31,30,45},{0,30,65},{21,0,1586},{21,0,1586},{21,0,1586},{21,0,1586},{18,31,261},{18,31,261},{18,31,261},{17,28,8},{10,31,10},{10,31,10},{24,31,5178},{24,31,4095},{23,31,3704},{22,31,2201},{24,31,5197},{21,31,2101},{20,31,1240},{18,31,153},{18,31,3760},{12,31,16},{28,31,1088},{27,31,830},{27,31,709},{26,31,245},{29,29,1536},
{26,31,792},{24,31,461},{14,31,1},{31,28,1536},{14,31,1},{23,31,3704},{23,31,3704},{23,31,3704},{22,31,2201},{23,31,3396},{20,31,1240},{20,31,1240},{18,30,122},{15,31,2208},{12,31,16},{27,31,709},{27,31,709},{27,31,709},{26,31,245},{28,28,1152},{24,31,461},{24,31,461},{14,31,1},{28,28,1152},{14,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{22,0,1576},{22,0,1576},{22,0,1576},{22,0,1576},{20,31,340},{20,31,340},{20,31,340},{18,29,10},{12,31,16},{12,31,16},{25,31,4468},{24,31,3615},{24,31,3254},{23,31,2060},{24,31,4413},{22,31,1834},{21,31,1205},{19,31,58},{19,31,3127},{14,31,53},{28,31,768},{28,31,576},{28,31,512},{27,31,170},{31,26,1068},{26,31,536},{25,31,338},{16,31,1},{30,29,1068},
{16,31,1},{24,31,3254},{24,31,3254},{24,31,3254},{23,31,2060},{23,31,2852},{21,31,1205},{21,31,1205},{19,31,58},{16,31,1878},{14,31,53},{28,31,512},{28,31,512},{28,31,512},{27,31,170},{31,24,802},{25,31,338},{25,31,338},{16,31,1},{30,28,802},{16,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{23,0,1576},
{23,0,1576},{23,0,1576},{23,0,1576},{21,31,421},{21,31,421},{21,31,421},{19,30,10},{14,31,53},{14,31,53},{26,31,3858},{25,31,3188},{25,31,2899},{24,31,1947},{25,31,3700},{23,31,1596},{23,31,1112},{20,31,8},{20,31,2588},{16,31,117},{29,31,498},{28,31,384},{28,31,320},{27,31,122},{31,27,683},{27,31,342},{26,31,212},{19,31,1},{31,29,683},{19,31,1},{25,31,2899},{25,31,2899},{25,31,2899},
{24,31,1947},{24,31,2441},{23,31,1112},{23,31,1112},{20,31,8},{18,31,1568},{16,31,117},{28,31,320},{28,31,320},{28,31,320},{27,31,122},{29,29,512},{26,31,212},{26,31,212},{19,31,1},{31,28,512},{19,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{24,0,1586},{24,0,1586},{24,0,1586},{24,0,1586},{22,31,520},
{22,31,520},{22,31,520},{20,31,8},{16,31,117},{16,31,117},{27,31,3258},{26,31,2790},{26,31,2594},{25,31,1875},{26,31,3105},{24,31,1447},{23,31,1080},{21,31,20},{22,31,2151},{18,31,208},{29,31,306},{29,31,221},{29,31,185},{28,31,64},{31,28,384},{28,31,192},{27,31,125},{22,31,1},{30,30,384},{22,31,1},{26,31,2594},{26,31,2594},{26,31,2594},{25,31,1875},{25,31,2131},{23,31,1080},{23,31,1080},
{21,31,20},{20,31,1336},{18,31,208},{29,31,185},{29,31,185},{29,31,185},{28,31,64},{31,27,290},{27,31,125},{27,31,125},{22,31,1},{31,29,290},{22,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{25,0,1586},{25,0,1586},{25,0,1586},{25,0,1586},{23,31,596},{23,31,596},{23,31,596},{21,31,20},{18,31,208},
{18,31,208},{0,25,2669},{0,18,320},{0,13,5},{0,11,985},{0,17,5885},{0,11,3745},{0,10,1746},{0,7,4421},{0,8,6385},{0,7,4782},{0,25,2669},{0,18,320},{0,13,5},{0,11,985},{8,1,5885},{0,11,3745},{0,10,1746},{0,7,4421},{17,0,5885},{0,7,4421},{0,12,0},{0,12,0},{0,12,0},{0,6,1},{0,6,545},{0,5,205},{0,5,205},{0,3,337},{0,3,609},{0,3,401},{0,12,0},
{0,12,0},{0,12,0},{0,6,1},{3,0,545},{0,5,205},{0,5,205},{0,3,337},{6,0,545},{0,3,337},{13,0,2669},{0,18,320},{0,13,5},{0,11,985},{13,0,2669},{25,0,2669},{0,11,985},{0,8,2689},{25,0,2669},{0,8,2689},{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},{0,28,2665},{0,20,212},{0,14,10},
{0,12,850},{0,19,6669},{0,13,3974},{0,11,1837},{0,8,4865},{0,9,7266},{0,7,5310},{0,28,2665},{0,20,212},{0,14,10},{0,12,850},{9,1,6669},{0,13,3974},{0,11,1837},{0,8,4865},{19,0,6669},{0,8,4865},{0,15,0},{0,15,0},{0,15,0},{0,7,9},{0,7,845},{0,6,337},{0,6,337},{0,3,545},{0,3,945},{0,3,609},{0,15,0},{0,15,0},{0,15,0},{0,7,9},{3,2,841},
{0,6,337},{0,6,337},{0,3,545},{6,1,841},{0,3,545},{12,4,2665},{0,20,212},{1,14,5},{0,12,850},{12,4,2665},{28,0,2665},{0,12,850},{0,9,2689},{28,0,2665},{0,9,2689},{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},{0,31,2665},{0,21,113},{0,15,65},{0,13,709},{0,21,7538},{0,14,4289},{0,12,1907},
{0,9,5330},{0,10,8294},{0,8,5845},{0,31,2665},{0,21,113},{0,15,65},{0,13,709},{10,1,7538},{0,14,4289},{0,12,1907},{0,9,5330},{21,0,7538},{0,9,5330},{0,18,0},{0,18,0},{0,18,0},{0,9,0},{0,9,1201},{0,7,482},{0,7,482},{0,4,740},{0,4,1334},{0,4,861},{0,18,0},{0,18,0},{0,18,0},{0,9,0},{4,1,1201},{0,7,482},{0,7,482},{0,4,740},{9,0,1201},
{0,4,740},{13,5,2665},{0,21,113},{2,15,5},{0,13,709},{13,5,2665},{31,0,2665},{0,13,709},{0,10,2689},{31,0,2665},{0,10,2689},{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},{0,31,2809},{0,23,52},{0,16,173},{0,14,586},{0,23,8494},{0,15,4610},{0,13,1950},{0,9,5826},{0,11,9409},{0,9,6402},{1,31,2753},
{0,23,52},{1,16,132},{0,14,586},{11,1,8493},{0,15,4610},{0,13,1950},{0,9,5826},{19,2,8493},{0,9,5826},{0,21,0},{0,21,0},{0,21,0},{0,10,9},{0,10,1629},{0,9,640},{0,9,640},{0,5,985},{0,5,1798},{0,5,1154},{0,21,0},{0,21,0},{0,21,0},{0,10,9},{3,5,1625},{0,9,640},{0,9,640},{0,5,985},{7,2,1625},{0,5,985},{17,0,2665},{0,23,52},{2,16,13},
{0,14,586},{17,0,2665},{30,2,2665},{0,14,586},{0,11,2689},{30,2,2665},{0,11,2689},{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},{1,31,3105},{0,25,8},{1,17,325},{0,15,512},{0,25,9669},{0,17,4961},{0,14,2120},{0,10,6421},{0,12,10774},{0,10,7150},{2,31,3033},{0,25,8},{1,17,261},{0,15,512},{12,1,9669},
{0,17,4961},{0,14,2120},{0,10,6421},{25,0,9669},{0,10,6421},{0,24,0},{0,24,0},{0,24,0},{0,12,0},{0,12,2178},{0,9,865},{0,9,865},{0,6,1313},{0,5,2419},{0,5,1523},{0,24,0},{0,24,0},{0,24,0},{0,12,0},{4,4,2178},{0,9,865},{0,9,865},{0,6,1313},{12,0,2178},{0,6,1313},{19,0,2669},{0,25,8},{4,17,5},{0,15,512},{19,0,2669},{31,3,2669},{0,15,512},
{0,12,2689},{31,3,2669},{0,12,2689},{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},{2,31,3465},{0,27,65},{1,19,434},{0,17,474},{0,28,9670},{0,18,4658},{0,16,1717},{0,11,6209},{0,13,10979},{0,11,7109},{3,31,3101},{1,26,8},{2,18,261},{0,17,474},{14,0,9669},{0,18,4658},{0,16,1717},{0,11,6209},{26,1,9669},
{0,11,6209},{1,25,64},{1,25,64},{1,25,64},{1,13,64},{0,15,2178},{0,11,680},{0,11,680},{0,7,1189},{0,7,2557},{0,6,1457},{1,25,0},{1,25,0},{1,25,0},{1,13,0},{5,5,2178},{0,11,680},{0,11,680},{0,7,1189},{15,0,2178},{0,7,1189},{20,0,2665},{0,27,1},{5,18,5},{0,17,410},{20,0,2665},{24,8,2665},{0,17,410},{0,13,2689},{24,8,2665},{0,13,2689},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,3,0},{0,3,0},{0,3,0},{0,2,4},{0,1,13},{0,1,13},{3,31,3917},{1,28,129},{2,20,645},{1,18,538},{0,31,9670},{0,20,4330},{0,17,1246},{0,12,5925},{0,14,11321},{0,12,7014},{4,31,3218},{2,27,8},{3,19,261},{1,18,474},{15,1,9669},{0,20,4330},{0,17,1246},{0,12,5925},{27,2,9669},{0,12,5925},{1,28,128},{1,28,128},{1,28,128},
{1,15,132},{0,18,2178},{0,13,482},{0,13,482},{0,8,1040},{0,8,2712},{0,7,1470},{2,26,0},{2,26,0},{2,26,0},{2,14,0},{9,0,2178},{0,13,482},{0,13,482},{0,8,1040},{18,0,2178},{0,8,1040},{21,1,2665},{1,28,1},{6,19,5},{0,18,305},{21,1,2665},{27,8,2665},{0,18,305},{0,14,2689},{27,8,2665},{0,14,2689},{1,0,128},{1,0,128},{1,0,128},{1,0,128},{0,6,0},
{0,6,0},{0,6,0},{0,3,0},{0,2,61},{0,2,61},{3,31,4541},{2,29,321},{2,21,904},{1,19,625},{1,31,9749},{0,21,4018},{0,18,914},{0,14,5633},{0,16,11661},{0,13,6859},{5,31,3374},{3,28,10},{4,20,254},{2,19,474},{17,0,9670},{0,21,4018},{0,18,914},{0,14,5633},{30,2,9670},{0,14,5633},{2,29,320},{2,29,320},{2,29,320},{1,16,320},{0,21,2178},{0,15,353},{0,15,353},
{0,9,881},{0,9,2882},{0,9,1457},{3,27,0},{3,27,0},{3,27,0},{3,15,0},{10,1,2178},{0,15,353},{0,15,353},{0,9,881},{21,0,2178},{0,9,881},{23,0,2665},{2,29,1},{6,20,13},{0,19,245},{23,0,2665},{30,8,2665},{0,19,245},{0,15,2689},{30,8,2665},{0,15,2689},{1,0,320},{1,0,320},{1,0,320},{1,0,320},{0,9,0},{0,9,0},{0,9,0},{0,4,4},{0,4,125},
{0,4,125},{4,31,5378},{2,31,570},{3,22,1267},{2,20,850},{2,31,10045},{0,23,3745},{0,19,642},{0,14,5354},{0,17,11993},{0,14,6798},{7,31,3553},{4,29,8},{5,21,261},{3,20,491},{18,1,9669},{0,23,3745},{0,19,642},{0,14,5354},{31,3,9669},{0,14,5354},{2,31,561},{2,31,561},{2,31,561},{2,17,546},{0,24,2178},{0,17,205},{0,17,205},{0,10,730},{0,11,3150},{0,9,1457},{4,28,0},
{4,28,0},{4,28,0},{4,16,0},{12,0,2178},{0,17,205},{0,17,205},{0,10,730},{24,0,2178},{0,10,730},{25,0,2669},{3,30,1},{8,21,5},{0,20,170},{25,0,2669},{31,9,2669},{0,20,170},{0,16,2689},{31,9,2669},{0,16,2689},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,12,0},{0,12,0},{0,12,0},{0,6,1},{0,5,205},{0,5,205},{5,31,6330},{3,31,905},{4,23,1718},
{2,21,1099},{3,31,10453},{0,25,3478},{0,21,369},{0,16,5138},{0,18,12455},{0,15,6867},{8,31,3710},{5,30,8},{6,22,261},{4,21,474},{19,2,9669},{0,25,3478},{0,21,369},{0,16,5138},{30,5,9669},{0,16,5138},{3,31,901},{3,31,901},{3,31,901},{3,18,866},{0,27,2178},{0,19,130},{0,19,130},{0,11,650},{0,12,3395},{0,10,1523},{5,29,0},{5,29,0},{5,29,0},{5,17,0},{13,1,2178},
{0,19,130},{0,19,130},{0,11,650},{27,0,2178},{0,11,650},{24,4,2665},{4,31,1},{9,22,5},{0,21,113},{24,4,2665},{28,12,2665},{0,21,113},{0,17,2689},{28,12,2665},{0,17,2689},{3,0,865},{3,0,865},{3,0,865},{3,0,865},{0,15,0},{0,15,0},{0,15,0},{0,7,9},{0,6,337},{0,6,337},{6,31,7446},{4,31,1458},{4,24,2174},{3,22,1419},{3,31,11045},{0,27,3314},{0,22,195},
{0,17,4865},{0,20,12855},{0,16,6882},{9,31,3902},{6,31,8},{7,23,261},{5,22,474},{19,5,9669},{0,27,3314},{0,22,195},{0,17,4865},{31,6,9669},{0,17,4865},{3,31,1397},{3,31,1397},{3,31,1397},{3,19,1210},{0,30,2178},{0,20,61},{0,20,61},{0,12,545},{0,13,3645},{0,12,1634},{6,30,0},{6,30,0},{6,30,0},{6,18,0},{15,0,2178},{0,20,61},{0,20,61},{0,12,545},{30,0,2178},
{0,12,545},{25,5,2665},{6,31,8},{10,23,5},{0,22,74},{25,5,2665},{31,12,2665},{0,22,74},{0,18,2689},{31,12,2665},{0,18,2689},{3,0,1201},{3,0,1201},{3,0,1201},{3,0,1201},{0,18,0},{0,18,0},{0,18,0},{0,9,0},{0,7,482},{0,7,482},{7,31,8578},{4,31,2146},{5,25,2766},{3,23,1835},{4,31,11766},{0,28,3125},{0,23,94},{0,18,4610},{0,21,13238},{0,17,6837},{10,31,4130},
{7,31,49},{8,24,254},{6,23,474},{23,0,9670},{0,28,3125},{0,23,94},{0,18,4610},{30,8,9670},{0,18,4610},{4,31,1921},{4,31,1921},{4,31,1921},{3,21,1665},{0,31,2228},{0,22,18},{0,22,18},{0,14,425},{0,15,3987},{0,13,1677},{7,31,0},{7,31,0},{7,31,0},{7,19,0},{16,1,2178},{0,22,18},{0,22,18},{0,14,425},{31,1,2178},{0,14,425},{29,0,2665},{7,31,49},{10,24,13},
{0,23,58},{29,0,2665},{30,14,2665},{0,23,58},{0,19,2689},{30,14,2665},{0,19,2689},{3,0,1665},{3,0,1665},{3,0,1665},{3,0,1665},{0,21,0},{0,21,0},{0,21,0},{0,10,9},{0,9,640},{0,9,640},{7,31,10135},{5,31,3190},{5,26,3543},{4,24,2348},{5,31,12846},{0,30,2961},{0,25,30},{0,19,4421},{0,23,13846},{0,18,6930},{11,31,4345},{8,31,178},{9,25,261},{7,24,491},{24,1,9669},
{0,30,2961},{0,25,30},{0,19,4421},{31,9,9669},{0,19,4421},{5,31,2706},{5,31,2706},{5,31,2706},{4,22,2179},{1,31,2404},{0,24,0},{0,24,0},{0,15,337},{0,16,4356},{0,14,1833},{8,31,9},{8,31,9},{8,31,9},{8,20,0},{16,4,2178},{0,24,0},{0,24,0},{0,15,337},{28,4,2178},{0,15,337},{31,0,2669},{10,31,113},{12,25,5},{0,25,26},{31,0,2669},{31,15,2669},{0,25,26},
{0,20,2689},{31,15,2669},{0,20,2689},{4,0,2178},{4,0,2178},{4,0,2178},{4,0,2178},{0,24,0},{0,24,0},{0,24,0},{0,12,0},{0,9,865},{0,9,865},{8,31,11466},{6,31,4187},{6,27,4166},{4,25,2818},{6,31,13898},{0,31,2871},{0,26,15},{0,20,4226},{0,24,14214},{0,19,7006},{12,31,4590},{10,31,321},{10,26,261},{8,25,474},{26,0,9669},{0,31,2870},{0,26,14},{0,20,4225},{30,11,9669},
{0,20,4225},{6,31,3458},{6,31,3458},{6,31,3458},{5,23,2690},{2,31,2691},{0,26,14},{0,26,14},{0,16,261},{0,17,4595},{0,15,1953},{9,31,36},{9,31,36},{9,31,36},{9,21,0},{17,5,2178},{1,25,0},{1,25,0},{0,16,260},{31,4,2178},{0,16,260},{28,8,2665},{11,31,194},{13,26,5},{0,26,5},{28,8,2665},{24,20,2665},{0,26,5},{0,21,2689},{24,20,2665},{0,21,2689},{5,0,2689},
{5,0,2689},{5,0,2689},{5,0,2689},{0,27,1},{0,27,1},{0,27,1},{0,14,5},{0,11,1037},{0,11,1037},{9,31,12054},{7,31,4578},{7,28,4118},{5,26,2818},{7,31,14214},{1,31,3042},{1,27,15},{0,21,4099},{0,25,13683},{0,21,6322},{14,31,4858},{11,31,514},{11,27,261},{9,26,474},{27,1,9669},{2,31,3014},{1,27,14},{0,21,4018},{27,14,9669},{0,21,4018},{7,31,3554},{7,31,3554},{7,31,3554},
{6,24,2689},{3,31,2795},{1,27,14},{1,27,14},{1,17,261},{0,19,4269},{0,16,1517},{11,31,73},{11,31,73},{11,31,73},{10,22,0},{21,0,2178},{2,26,0},{2,26,0},{0,17,185},{30,6,2178},{0,17,185},{29,9,2665},{13,31,320},{14,27,5},{0,27,1},{29,9,2665},{27,20,2665},{0,27,1},{0,22,2689},{27,20,2665},{0,22,2689},{6,0,2689},{6,0,2689},{6,0,2689},{6,0,2689},{1,28,1},
{1,28,1},{1,28,1},{1,15,5},{0,13,797},{0,13,797},{11,31,12506},{8,31,5075},{8,29,4166},{6,27,2818},{8,31,14651},{3,31,3255},{2,28,23},{1,22,4099},{0,27,13238},{0,21,5650},{15,31,5054},{12,31,782},{12,28,254},{10,27,474},{29,0,9670},{3,31,3206},{2,28,22},{0,22,3829},{30,14,9670},{0,22,3829},{8,31,3706},{8,31,3706},{8,31,3706},{7,25,2689},{4,31,2946},{2,28,19},{2,28,19},
{2,18,261},{0,21,3906},{0,17,1106},{12,31,106},{12,31,106},{12,31,106},{11,23,0},{22,1,2178},{3,27,0},{3,27,0},{0,18,128},{31,7,2178},{0,18,128},{31,8,2665},{15,31,445},{14,28,13},{1,28,4},{31,8,2665},{30,20,2665},{1,28,4},{0,23,2689},{30,20,2665},{0,23,2689},{7,0,2689},{7,0,2689},{7,0,2689},{7,0,2689},{2,29,1},{2,29,1},{2,29,1},{2,15,10},{0,14,637},
{0,14,637},{12,31,13094},{10,31,5782},{9,30,4166},{7,28,2838},{10,31,15213},{4,31,3618},{3,29,25},{2,23,4101},{0,29,12686},{0,23,5075},{16,31,5378},{14,31,1172},{13,29,261},{11,28,491},{30,1,9669},{6,31,3469},{3,29,21},{0,23,3706},{31,15,9669},{0,23,3706},{9,31,3890},{9,31,3890},{9,31,3890},{8,26,2690},{6,31,3157},{3,29,24},{3,29,24},{3,19,254},{0,23,3619},{0,19,782},{13,31,145},
{13,31,145},{13,31,145},{12,24,0},{24,0,2178},{4,28,0},{4,28,0},{0,19,106},{24,12,2178},{0,19,106},{31,11,2669},{16,31,640},{16,29,5},{2,29,2},{31,11,2669},{31,21,2669},{2,29,2},{0,24,2689},{31,21,2669},{0,24,2689},{8,0,2689},{8,0,2689},{8,0,2689},{8,0,2689},{3,30,5},{3,30,5},{3,30,5},{3,17,8},{0,17,436},{0,17,436},{13,31,13718},{11,31,6325},{10,31,4166},
{8,29,2818},{11,31,15565},{6,31,4094},{4,30,15},{3,24,4118},{0,31,12355},{0,24,4578},{17,31,5738},{15,31,1517},{14,30,261},{12,29,474},{31,2,9669},{7,31,3761},{4,30,14},{0,24,3554},{30,17,9669},{0,24,3554},{10,31,4085},{10,31,4085},{10,31,4085},{9,27,2690},{7,31,3285},{4,30,14},{4,30,14},{4,20,261},{0,24,3330},{0,20,514},{14,31,208},{14,31,208},{14,31,208},{13,25,0},{25,1,2178},
{5,29,0},{5,29,0},{0,21,64},{27,12,2178},{0,21,64},{28,20,2665},{18,31,829},{17,30,5},{3,30,2},{28,20,2665},{28,24,2665},{3,30,2},{0,25,2689},{28,24,2665},{0,25,2689},{9,0,2689},{9,0,2689},{9,0,2689},{9,0,2689},{4,31,1},{4,31,1},{4,31,1},{4,18,5},{0,18,306},{0,18,306},{14,31,14378},{12,31,7006},{11,31,4226},{9,30,2818},{12,31,16054},{7,31,4578},{5,31,15},
{4,25,4099},{0,31,12051},{0,25,4089},{19,31,5970},{16,31,1953},{15,31,261},{13,30,474},{31,5,9669},{10,31,4081},{5,31,14},{0,25,3413},{31,18,9669},{0,25,3413},{11,31,4225},{11,31,4225},{11,31,4225},{10,28,2689},{8,31,3476},{5,31,14},{5,31,14},{5,21,261},{0,26,3091},{0,21,289},{15,31,260},{15,31,260},{15,31,260},{14,26,0},{27,0,2178},{6,30,0},{6,30,0},{0,22,25},{30,12,2178},
{0,22,25},{29,21,2665},{20,31,1037},{18,31,5},{4,31,1},{29,21,2665},{31,24,2665},{4,31,1},{0,26,2689},{31,24,2665},{0,26,2689},{10,0,2689},{10,0,2689},{10,0,2689},{10,0,2689},{5,31,10},{5,31,10},{5,31,10},{5,19,5},{0,20,194},{0,20,194},{15,31,13557},{13,31,7094},{12,31,4421},{10,31,2769},{13,31,15228},{8,31,4270},{6,31,46},{5,26,3476},{0,31,11020},{0,26,3108},{20,31,5400},
{17,31,1931},{16,31,337},{15,30,320},{31,7,8712},{11,31,3630},{7,31,0},{0,26,2667},{31,19,8712},{0,26,2667},{12,31,4421},{12,31,4421},{12,31,4421},{11,29,2689},{9,31,3722},{6,31,46},{6,31,46},{6,22,261},{0,27,2882},{0,22,173},{16,31,337},{16,31,337},{16,31,337},{15,27,0},{28,1,2178},{7,31,0},{7,31,0},{0,23,9},{31,13,2178},{0,23,9},{31,19,2178},{22,31,881},{19,31,0},
{7,31,0},{31,19,2178},{31,25,2178},{7,31,0},{0,27,2178},{31,25,2178},{0,27,2178},{11,0,2689},{11,0,2689},{11,0,2689},{11,0,2689},{6,31,37},{6,31,37},{6,31,37},{6,19,10},{0,22,109},{0,22,109},{16,31,12678},{14,31,7003},{13,31,4693},{12,31,2714},{15,31,14026},{10,31,3943},{8,31,94},{6,26,2766},{2,31,10074},{0,27,2146},{20,31,4698},{19,31,1746},{17,31,464},{16,30,164},{29,13,7578},
{12,31,3090},{9,31,20},{0,27,1921},{31,20,7578},{0,27,1921},{13,31,4693},{13,31,4693},{13,31,4693},{12,30,2690},{11,31,3939},{8,31,94},{8,31,94},{7,23,254},{0,29,2650},{0,24,49},{17,31,464},{17,31,464},{17,31,464},{16,28,0},{28,4,2178},{9,31,20},{9,31,20},{0,24,0},{28,16,2178},{0,24,0},{31,21,1625},{23,31,653},{21,31,4},{10,31,1},{31,21,1625},{31,26,1625},{10,31,1},
{0,27,1665},{31,26,1625},{0,27,1665},{12,0,2689},{12,0,2689},{12,0,2689},{12,0,2689},{8,31,58},{8,31,58},{8,31,58},{7,21,8},{0,24,49},{0,24,49},{17,31,12042},{15,31,6882},{15,31,4946},{13,31,2690},{16,31,13127},{11,31,3615},{9,31,229},{7,27,2174},{3,31,9313},{0,27,1458},{21,31,4150},{19,31,1634},{19,31,545},{17,30,89},{31,11,6661},{14,31,2654},{11,31,61},{0,28,1397},{31,21,6661},
{0,28,1397},{15,31,4946},{15,31,4946},{15,31,4946},{13,31,2690},{12,31,4170},{9,31,229},{9,31,229},{8,24,261},{0,31,2520},{0,25,10},{19,31,545},{19,31,545},{19,31,545},{17,29,0},{29,5,2178},{11,31,61},{11,31,61},{1,25,0},{31,16,2178},{1,25,0},{31,22,1201},{24,31,482},{22,31,1},{13,31,1},{31,22,1201},{30,27,1201},{13,31,1},{0,28,1201},{30,27,1201},{0,28,1201},{13,0,2689},
{13,0,2689},{13,0,2689},{13,0,2689},{9,31,85},{9,31,85},{9,31,85},{8,22,5},{0,25,10},{0,25,10},{18,31,11474},{16,31,6867},{15,31,5138},{14,31,2725},{16,31,12279},{12,31,3410},{10,31,419},{8,27,1718},{4,31,8678},{0,28,905},{23,31,3626},{20,31,1550},{20,31,650},{18,31,25},{29,17,5829},{15,31,2306},{12,31,130},{0,28,901},{27,24,5829},{0,28,901},{15,31,5138},{15,31,5138},{15,31,5138},
{14,31,2725},{13,31,4452},{10,31,419},{10,31,419},{9,25,261},{0,31,2520},{1,26,10},{20,31,650},{20,31,650},{20,31,650},{18,30,0},{31,4,2178},{12,31,130},{12,31,130},{2,26,0},{30,18,2178},{2,26,0},{31,23,845},{25,31,353},{23,31,9},{16,31,0},{31,23,845},{31,27,845},{16,31,0},{0,28,865},{31,27,845},{0,28,865},{14,0,2689},{14,0,2689},{14,0,2689},{14,0,2689},{10,31,130},
{10,31,130},{10,31,130},{9,23,5},{0,27,1},{0,27,1},{19,31,10774},{17,31,6962},{16,31,5378},{15,31,2810},{17,31,11598},{12,31,3346},{12,31,642},{9,28,1222},{6,31,8113},{0,29,570},{23,31,3146},{22,31,1539},{21,31,773},{19,31,0},{31,15,5082},{16,31,2034},{14,31,221},{0,29,554},{31,23,5082},{0,29,554},{16,31,5378},{16,31,5378},{16,31,5378},{15,31,2810},{15,31,4746},{12,31,642},{12,31,642},
{10,26,261},{2,31,2714},{2,27,10},{21,31,773},{21,31,773},{21,31,773},{19,31,0},{31,7,2178},{14,31,221},{14,31,221},{3,27,0},{31,19,2178},{3,27,0},{31,25,545},{26,31,221},{25,31,0},{19,31,0},{31,25,545},{31,28,545},{19,31,0},{0,29,545},{31,28,545},{0,29,545},{15,0,2689},{15,0,2689},{15,0,2689},{15,0,2689},{11,31,170},{11,31,170},{11,31,170},{10,23,10},{1,28,1},
{1,28,1},{20,31,10225},{18,31,7025},{18,31,5729},{16,31,2978},{19,31,10792},{14,31,3283},{13,31,982},{10,29,861},{8,31,7588},{2,29,325},{24,31,2729},{23,31,1460},{22,31,932},{20,31,36},{29,21,4344},{19,31,1746},{16,31,353},{2,29,321},{31,24,4344},{2,29,321},{18,31,5729},{18,31,5729},{18,31,5729},{16,31,2978},{16,31,5028},{13,31,982},{13,31,982},{11,27,254},{4,31,2981},{3,28,10},{22,31,932},
{22,31,932},{22,31,932},{20,31,36},{28,16,2178},{16,31,353},{16,31,353},{4,28,0},{24,24,2178},{4,28,0},{31,27,290},{27,31,125},{27,31,4},{22,31,1},{31,27,290},{31,29,290},{22,31,1},{0,29,320},{31,29,290},{0,29,320},{16,0,2689},{16,0,2689},{16,0,2689},{16,0,2689},{12,31,245},{12,31,245},{12,31,245},{11,25,8},{2,29,5},{2,29,5},{20,31,9825},{19,31,7014},{19,31,5925},
{17,31,3218},{20,31,10245},{15,31,3285},{14,31,1330},{11,29,612},{10,31,7225},{3,30,133},{25,31,2467},{24,31,1470},{23,31,1040},{21,31,144},{31,19,3779},{20,31,1580},{18,31,500},{3,30,129},{31,25,3779},{3,30,129},{19,31,5925},{19,31,5925},{19,31,5925},{17,31,3218},{17,31,5346},{14,31,1330},{14,31,1330},{12,28,261},{6,31,3267},{4,29,10},{23,31,1040},{23,31,1040},{23,31,1040},{21,31,144},{29,17,2178},
{18,31,500},{18,31,500},{5,29,0},{27,24,2178},{5,29,0},{31,28,128},{29,31,61},{28,31,0},{25,31,1},{31,28,128},{30,30,128},{25,31,1},{0,30,128},{30,30,128},{0,30,128},{17,0,2689},{17,0,2689},{17,0,2689},{17,0,2689},{13,31,338},{13,31,338},{13,31,338},{12,26,5},{3,30,5},{3,30,5},{21,31,9523},{20,31,7109},{20,31,6209},{18,31,3473},{20,31,9749},{16,31,3410},{15,31,1717},
{12,30,401},{11,31,6964},{4,31,65},{26,31,2273},{25,31,1539},{24,31,1189},{23,31,260},{29,25,3299},{22,31,1490},{20,31,680},{6,30,64},{27,28,3299},{6,30,64},{20,31,6209},{20,31,6209},{20,31,6209},{18,31,3473},{18,31,5700},{15,31,1717},{15,31,1717},{13,29,261},{8,31,3587},{5,30,10},{24,31,1189},{24,31,1189},{24,31,1189},{23,31,260},{31,16,2178},{20,31,680},{20,31,680},{6,30,0},{30,24,2178},
{6,30,0},{31,30,34},{30,31,13},{30,31,4},{28,31,0},{31,30,34},{30,31,34},{28,31,0},{0,30,64},{30,31,34},{0,30,64},{18,0,2689},{18,0,2689},{18,0,2689},{18,0,2689},{15,31,421},{15,31,421},{15,31,421},{13,27,5},{4,31,1},{4,31,1},{23,31,9201},{21,31,7314},{21,31,6530},{19,31,3778},{21,31,9420},{18,31,3652},{16,31,2193},{14,30,325},{14,31,6804},{6,31,10},{27,31,2057},
{26,31,1605},{25,31,1378},{24,31,442},{31,23,2904},{23,31,1452},{22,31,881},{7,31,0},{31,27,2904},{7,31,0},{21,31,6530},{21,31,6530},{21,31,6530},{19,31,3778},{19,31,5956},{16,31,2193},{16,31,2193},{14,30,261},{10,31,3957},{6,31,10},{25,31,1378},{25,31,1378},{25,31,1378},{24,31,442},{31,19,2178},{22,31,881},{22,31,881},{7,31,0},{31,25,2178},{7,31,0},{31,31,0},{31,31,0},{31,31,0},
{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{19,0,2689},{19,0,2689},{19,0,2689},{19,0,2689},{16,31,512},{16,31,512},{16,31,512},{14,27,10},{6,31,10},{6,31,10},{23,31,8049},{22,31,6550},{22,31,5925},{20,31,3589},{23,31,8137},{19,31,3220},{18,31,2050},{15,31,173},{15,31,5805},{8,31,52},{27,31,1544},{27,31,1181},{26,31,1040},{25,31,353},{31,24,2166},
{24,31,1083},{23,31,653},{10,31,1},{30,28,2166},{10,31,1},{22,31,5925},{22,31,5925},{22,31,5925},{20,31,3589},{20,31,5209},{18,31,2050},{18,31,2050},{15,30,117},{12,31,3405},{8,31,52},{26,31,1040},{26,31,1040},{26,31,1040},{25,31,353},{31,21,1625},{23,31,653},{23,31,653},{10,31,1},{31,26,1625},{10,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{20,0,2689},{20,0,2689},{20,0,2689},{20,0,2689},{17,31,625},{17,31,625},{17,31,625},{15,29,8},{8,31,52},{8,31,52},{24,31,7177},{23,31,5845},{23,31,5361},{21,31,3473},{23,31,7033},{20,31,2945},{19,31,1907},{16,31,65},{16,31,5026},{10,31,117},{28,31,1137},{27,31,861},{27,31,740},{26,31,260},{29,29,1601},{26,31,833},{24,31,482},{13,31,1},{31,28,1601},
{13,31,1},{23,31,5361},{23,31,5361},{23,31,5361},{21,31,3473},{21,31,4661},{19,31,1907},{19,31,1907},{16,31,65},{14,31,2997},{10,31,117},{27,31,740},{27,31,740},{27,31,740},{26,31,260},{31,22,1201},{24,31,482},{24,31,482},{13,31,1},{30,27,1201},{13,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{21,0,2689},
{21,0,2689},{21,0,2689},{21,0,2689},{18,31,754},{18,31,754},{18,31,754},{16,30,5},{10,31,117},{10,31,117},{24,31,6393},{24,31,5310},{23,31,4865},{22,31,3314},{24,31,6146},{20,31,2737},{20,31,1837},{17,31,5},{18,31,4381},{11,31,212},{28,31,801},{28,31,609},{28,31,545},{27,31,185},{31,26,1121},{26,31,561},{25,31,353},{16,31,0},{30,29,1121},{16,31,0},{23,31,4865},{23,31,4865},{23,31,4865},
{22,31,3314},{22,31,4181},{20,31,1837},{20,31,1837},{17,31,5},{15,31,2621},{11,31,212},{28,31,545},{28,31,545},{28,31,545},{27,31,185},{31,23,845},{25,31,353},{25,31,353},{16,31,0},{31,27,845},{16,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{22,0,2689},{22,0,2689},{22,0,2689},{22,0,2689},{19,31,850},
{19,31,850},{19,31,850},{17,31,5},{11,31,212},{11,31,212},{25,31,5683},{24,31,4782},{24,31,4421},{23,31,3173},{24,31,5314},{22,31,2563},{21,31,1844},{18,31,10},{18,31,3757},{13,31,338},{29,31,531},{28,31,401},{28,31,337},{27,31,121},{31,27,726},{27,31,363},{26,31,221},{19,31,0},{31,29,726},{19,31,0},{24,31,4421},{24,31,4421},{24,31,4421},{23,31,3173},{23,31,3657},{21,31,1844},{21,31,1844},
{18,31,10},{16,31,2321},{13,31,338},{28,31,337},{28,31,337},{28,31,337},{27,31,121},{31,25,545},{26,31,221},{26,31,221},{19,31,0},{31,28,545},{19,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{23,0,2689},{23,0,2689},{23,0,2689},{23,0,2689},{20,31,985},{20,31,985},{20,31,985},{18,31,10},{13,31,338},
{13,31,338},{2,31,10560},{0,30,1586},{0,22,173},{0,18,3826},{0,28,18065},{0,19,12194},{0,17,6081},{0,11,14098},{0,13,19386},{0,11,14998},{3,31,10216},{0,30,1586},{0,22,173},{0,18,3826},{12,4,18065},{0,19,12194},{0,17,6081},{0,11,14098},{28,0,18065},{0,11,14098},{0,17,1},{0,17,1},{0,17,1},{0,9,4},{0,9,1105},{0,7,442},{0,7,442},{0,4,680},{0,4,1230},{0,4,801},{0,17,1},
{0,17,1},{0,17,1},{0,9,4},{4,1,1105},{0,7,442},{0,7,442},{0,4,680},{9,0,1105},{0,4,680},{21,0,9248},{0,30,1586},{0,22,173},{0,18,3826},{21,0,9248},{30,6,9248},{0,18,3826},{0,14,9248},{30,6,9248},{0,14,9248},{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},{2,31,11328},{0,31,1341},{0,23,68},
{0,19,3626},{0,30,19334},{0,20,12611},{0,18,6099},{0,12,14756},{0,14,20886},{0,12,15845},{3,31,10792},{0,31,1341},{0,23,68},{0,19,3626},{15,0,19334},{0,20,12611},{0,18,6099},{0,12,14756},{30,0,19334},{0,12,14756},{0,20,0},{0,20,0},{0,20,0},{0,10,1},{0,10,1513},{0,8,605},{0,8,605},{0,5,925},{0,5,1682},{0,4,1089},{0,20,0},{0,20,0},{0,20,0},{0,10,1},{5,0,1513},
{0,8,605},{0,8,605},{0,5,925},{10,0,1513},{0,5,925},{22,1,9248},{0,31,1341},{0,23,68},{0,19,3626},{22,1,9248},{31,7,9248},{0,19,3626},{0,15,9248},{31,7,9248},{0,15,9248},{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},{3,31,12200},{0,31,1325},{0,24,10},{0,20,3365},{0,31,20705},{0,21,13009},{0,18,6227},
{0,13,15441},{0,15,22455},{0,13,16666},{4,31,11489},{0,31,1325},{0,24,10},{0,20,3365},{15,2,20689},{0,21,13009},{0,18,6227},{0,13,15441},{30,1,20689},{0,13,15441},{0,23,0},{0,23,0},{0,23,0},{0,11,9},{0,11,1989},{0,9,772},{0,9,772},{0,5,1213},{0,5,2194},{0,5,1382},{0,23,0},{0,23,0},{0,23,0},{0,11,9},{6,0,1985},{0,9,772},{0,9,772},{0,5,1213},{10,1,1985},
{0,5,1213},{23,2,9248},{0,31,1325},{0,24,10},{0,20,3365},{23,2,9248},{30,9,9248},{0,20,3365},{0,16,9250},{30,9,9248},{0,16,9250},{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},{3,31,13288},{0,31,1565},{0,25,10},{0,22,3077},{1,31,22214},{0,23,13555},{0,20,6310},{0,14,16176},{0,16,24130},{0,13,17562},{4,31,12385},
{0,31,1565},{0,25,10},{0,22,3077},{17,0,22129},{0,23,13555},{0,20,6310},{0,14,16176},{30,2,22129},{0,14,16176},{0,26,0},{0,26,0},{0,26,0},{0,13,0},{0,13,2521},{0,10,1018},{0,10,1018},{0,6,1508},{0,6,2801},{0,6,1764},{0,26,0},{0,26,0},{0,26,0},{0,13,0},{6,1,2521},{0,10,1018},{0,10,1018},{0,6,1508},{13,0,2521},{0,6,1508},{23,5,9248},{0,31,1565},{0,25,10},
{0,22,3077},{23,5,9248},{31,10,9248},{0,22,3077},{0,17,9250},{31,10,9248},{0,17,9250},{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},{4,31,14788},{0,31,2141},{0,27,72},{0,22,2825},{1,31,24140},{0,25,14114},{0,21,6323},{0,14,17202},{0,17,26063},{0,14,18646},{5,31,13521},{1,31,2100},{0,27,72},{0,22,2825},{16,4,23851},
{0,25,14114},{0,21,6323},{0,14,17202},{28,4,23851},{0,14,17202},{0,29,1},{0,29,1},{0,29,1},{0,15,4},{0,15,3202},{0,12,1285},{0,12,1285},{0,7,1973},{0,7,3569},{0,6,2241},{0,29,1},{0,29,1},{0,29,1},{0,15,4},{7,1,3200},{0,12,1285},{0,12,1285},{0,7,1973},{11,2,3200},{0,7,1973},{27,0,9248},{3,31,1885},{2,26,8},{0,22,2825},{27,0,9248},{30,12,9248},{0,22,2825},
{0,18,9248},{30,12,9248},{0,18,9248},{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},{4,31,16228},{1,31,2836},{0,28,170},{0,24,2612},{2,31,25971},{0,25,14594},{0,22,6473},{0,16,18144},{0,17,27951},{0,14,19830},{7,31,14675},{2,31,2706},{1,27,149},{0,24,2612},{19,0,25472},{0,25,14594},{0,22,6473},{0,16,18144},{30,4,25472},
{0,16,18144},{0,31,9},{0,31,9},{0,31,9},{0,16,0},{0,16,3872},{0,13,1514},{0,13,1514},{0,7,2405},{0,7,4305},{0,7,2766},{0,31,9},{0,31,9},{0,31,9},{0,16,0},{8,0,3872},{0,13,1514},{0,13,1514},{0,7,2405},{16,0,3872},{0,7,2405},{28,1,9248},{4,31,2210},{3,27,8},{0,24,2612},{28,1,9248},{31,13,9248},{0,24,2612},{0,19,9248},{31,13,9248},{0,19,9248},{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},{4,31,17796},{2,31,3702},{1,29,270},{0,25,2361},{3,31,27563},{0,27,14944},{0,23,6470},{0,17,18681},{0,19,29556},{0,16,20628},{7,31,15635},{3,31,3425},{1,29,206},{0,25,2361},{20,0,26744},{0,27,14944},{0,23,6470},{0,17,18681},{24,8,26744},{0,17,18681},{0,31,125},{0,31,125},{0,31,125},
{0,18,8},{0,18,4418},{0,14,1696},{0,14,1696},{0,8,2664},{0,8,4952},{0,8,3148},{1,31,72},{1,31,72},{1,31,72},{0,18,8},{9,0,4418},{0,14,1696},{0,14,1696},{0,8,2664},{18,0,4418},{0,8,2664},{30,0,9248},{6,31,2557},{3,28,10},{0,25,2357},{30,0,9248},{30,15,9248},{0,25,2357},{0,20,9250},{30,15,9248},{0,20,9250},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,0},
{0,1,0},{0,1,0},{0,0,4},{0,0,4},{0,0,4},{5,31,19090},{2,31,4598},{1,30,406},{0,26,2220},{3,31,28187},{0,29,14347},{0,25,5609},{0,18,18144},{0,20,29961},{0,17,20301},{8,31,16082},{4,31,4019},{2,30,206},{0,26,2220},{21,1,26744},{0,29,14347},{0,25,5609},{0,18,18144},{27,8,26744},{0,18,18144},{1,31,264},{1,31,264},{1,31,264},{1,19,72},{0,21,4418},{0,16,1412},{0,16,1412},
{0,10,2420},{0,9,5122},{0,9,2997},{2,31,117},{2,31,117},{2,31,117},{1,19,8},{10,1,4418},{0,16,1412},{0,16,1412},{0,10,2420},{21,0,4418},{0,10,2420},{31,1,9248},{8,31,2929},{4,29,10},{0,26,2120},{31,1,9248},{27,18,9248},{0,26,2120},{0,21,9250},{27,18,9248},{0,21,9250},{1,0,68},{1,0,68},{1,0,68},{1,0,68},{0,4,1},{0,4,1},{0,4,1},{0,2,0},{0,2,25},
{0,2,25},{7,31,20669},{3,31,5786},{2,31,625},{1,27,2283},{4,31,29033},{0,30,13795},{0,26,4770},{0,18,17667},{0,21,30425},{0,18,20068},{9,31,16691},{5,31,4841},{3,31,205},{1,27,2219},{23,0,26747},{0,30,13795},{0,26,4770},{0,18,17667},{30,8,26747},{0,18,17667},{2,31,589},{2,31,589},{2,31,589},{1,20,186},{0,24,4418},{0,18,1125},{0,18,1125},{0,10,2186},{0,11,5390},{0,10,2915},{3,31,169},
{3,31,169},{3,31,169},{2,20,13},{12,0,4418},{0,18,1125},{0,18,1125},{0,10,2186},{24,0,4418},{0,10,2186},{31,4,9248},{10,31,3380},{6,30,8},{0,27,1954},{31,4,9248},{30,18,9248},{0,27,1954},{0,22,9248},{30,18,9248},{0,22,9248},{1,0,185},{1,0,185},{1,0,185},{1,0,185},{0,7,0},{0,7,0},{0,7,0},{0,3,9},{0,3,73},{0,3,73},{7,31,21577},{4,31,6797},{3,31,985},
{1,28,2226},{5,31,29436},{0,31,12990},{0,27,4027},{0,20,16925},{0,23,30436},{0,18,19620},{11,31,16645},{7,31,5260},{4,31,232},{2,28,2141},{24,1,26259},{0,31,12990},{0,27,4027},{0,20,16925},{31,9,26259},{0,20,16925},{3,31,985},{3,31,985},{3,31,985},{2,21,378},{0,27,4418},{0,20,905},{0,20,905},{0,12,2005},{0,12,5635},{0,11,2950},{4,31,232},{4,31,232},{4,31,232},{3,21,13},{13,1,4418},
{0,20,905},{0,20,905},{0,12,2005},{27,0,4418},{0,12,2005},{31,7,8980},{11,31,3601},{7,31,4},{0,28,1665},{31,7,8980},{31,19,8980},{0,28,1665},{0,23,8980},{31,19,8980},{0,23,8980},{2,0,377},{2,0,377},{2,0,377},{2,0,377},{0,10,0},{0,10,0},{0,10,0},{0,5,0},{0,4,146},{0,4,146},{7,31,21193},{4,31,7053},{3,31,1481},{2,28,2093},{6,31,28313},{0,31,11406},{0,28,2965},
{0,20,15021},{0,23,28900},{0,19,17995},{11,31,15381},{7,31,4876},{5,31,325},{3,28,1786},{25,1,24371},{0,31,11406},{0,28,2965},{0,20,15021},{27,12,24371},{0,20,15021},{3,31,1481},{3,31,1481},{3,31,1481},{2,23,621},{0,30,4418},{0,21,680},{0,21,680},{0,13,1780},{0,13,5885},{0,12,2950},{5,31,325},{5,31,325},{5,31,325},{4,22,8},{15,0,4418},{0,21,680},{0,21,680},{0,13,1780},{30,0,4418},
{0,13,1780},{31,8,7938},{12,31,3188},{8,31,0},{0,29,1156},{31,8,7938},{30,20,7938},{0,29,1156},{0,23,7956},{30,20,7938},{0,23,7956},{2,0,617},{2,0,617},{2,0,617},{2,0,617},{0,13,0},{0,13,0},{0,13,0},{0,6,9},{0,5,233},{0,5,233},{8,31,20825},{5,31,7494},{4,31,2089},{2,29,1970},{7,31,27269},{0,31,10078},{0,28,2021},{0,21,13204},{0,25,27384},{0,20,16398},{12,31,14148},
{8,31,4562},{7,31,392},{4,29,1445},{26,1,22568},{0,31,10078},{0,28,2021},{0,21,13204},{31,11,22568},{0,21,13204},{4,31,2089},{4,31,2089},{4,31,2089},{3,23,946},{0,31,4468},{0,23,521},{0,23,521},{0,14,1573},{0,15,6227},{0,13,2909},{7,31,392},{7,31,392},{7,31,392},{5,23,8},{16,1,4418},{0,23,521},{0,23,521},{0,14,1573},{31,1,4418},{0,14,1573},{31,10,6964},{14,31,2785},{10,31,4},
{0,29,740},{31,10,6964},{31,20,6964},{0,29,740},{0,24,6970},{31,20,6964},{0,24,6970},{3,0,937},{3,0,937},{3,0,937},{3,0,937},{0,16,1},{0,16,1},{0,16,1},{0,8,1},{0,6,377},{0,6,377},{8,31,20717},{6,31,8012},{5,31,2958},{3,29,2057},{7,31,26243},{0,31,8890},{0,29,1154},{0,22,11325},{0,25,25854},{0,21,14671},{13,31,12926},{10,31,4313},{8,31,485},{5,29,1106},{25,5,20642},
{0,31,8890},{0,29,1154},{0,22,11325},{31,12,20642},{0,22,11325},{5,31,2958},{5,31,2958},{5,31,2958},{3,25,1361},{1,31,4644},{0,25,337},{0,25,337},{0,15,1429},{0,16,6596},{0,14,2981},{8,31,485},{8,31,485},{8,31,485},{6,24,13},{16,4,4418},{0,25,337},{0,25,337},{0,15,1429},{28,4,4418},{0,15,1429},{31,11,5941},{15,31,2377},{11,31,1},{0,30,388},{31,11,5941},{31,21,5941},{0,30,388},
{0,24,5953},{31,21,5941},{0,24,5953},{3,0,1360},{3,0,1360},{3,0,1360},{3,0,1360},{0,19,0},{0,19,0},{0,19,0},{0,10,4},{0,8,548},{0,8,548},{9,31,20713},{7,31,8575},{5,31,3806},{3,30,2260},{7,31,25603},{0,31,8106},{0,29,642},{0,22,9805},{0,26,24678},{0,21,13359},{15,31,11882},{11,31,4006},{9,31,596},{6,29,818},{28,1,19021},{2,31,8066},{0,29,642},{0,22,9805},{31,13,19021},
{0,22,9805},{5,31,3806},{5,31,3806},{5,31,3806},{4,26,1819},{2,31,4962},{0,27,232},{0,27,232},{0,16,1268},{0,17,6926},{0,15,3126},{9,31,596},{9,31,596},{9,31,596},{7,25,13},{17,5,4418},{0,27,232},{0,27,232},{0,16,1268},{31,4,4418},{0,16,1268},{31,13,5101},{16,31,2042},{13,31,4},{0,30,164},{31,13,5101},{31,22,5101},{0,30,164},{0,25,5105},{31,22,5101},{0,25,5105},{4,0,1818},
{4,0,1818},{4,0,1818},{4,0,1818},{0,22,0},{0,22,0},{0,22,0},{0,11,0},{0,9,697},{0,9,697},{10,31,20905},{7,31,9247},{6,31,4787},{4,30,2547},{8,31,25042},{1,31,7537},{0,30,264},{0,23,8449},{0,27,23521},{0,22,12141},{15,31,10794},{12,31,3786},{10,31,725},{8,29,621},{29,1,17485},{3,31,7274},{0,30,264},{0,23,8449},{27,16,17485},{0,23,8449},{6,31,4787},{6,31,4787},{6,31,4787},
{4,27,2323},{3,31,5386},{0,29,130},{0,29,130},{0,18,1096},{0,19,7364},{0,17,3225},{10,31,725},{10,31,725},{10,31,725},{8,26,8},{21,0,4418},{0,29,130},{0,29,130},{0,18,1096},{30,6,4418},{0,18,1096},{31,14,4325},{18,31,1737},{14,31,1},{0,31,64},{31,14,4325},{30,23,4325},{0,31,64},{0,25,4337},{30,23,4325},{0,25,4337},{4,0,2314},{4,0,2314},{4,0,2314},{4,0,2314},{0,25,0},
{0,25,0},{0,25,0},{0,12,4},{0,10,925},{0,10,925},{11,31,21021},{8,31,10106},{7,31,5819},{4,30,3027},{8,31,24722},{2,31,7042},{0,31,81},{0,24,7169},{0,29,22467},{0,22,11133},{16,31,9869},{12,31,3594},{11,31,821},{8,30,420},{30,1,16034},{4,31,6558},{0,31,81},{0,24,7169},{31,15,16034},{0,24,7169},{7,31,5819},{7,31,5819},{7,31,5819},{5,28,2915},{3,31,5962},{0,30,72},{0,30,72},
{0,18,968},{0,20,7781},{0,17,3305},{11,31,821},{11,31,821},{11,31,821},{9,27,8},{22,1,4418},{0,30,72},{0,30,72},{0,18,968},{31,7,4418},{0,18,968},{31,15,3617},{19,31,1450},{15,31,9},{0,31,0},{31,15,3617},{31,23,3617},{0,31,0},{0,26,3617},{31,23,3617},{0,26,3617},{5,0,2906},{5,0,2906},{5,0,2906},{5,0,2906},{0,28,1},{0,28,1},{0,28,1},{0,14,0},{0,11,1156},
{0,11,1156},{11,31,21381},{8,31,11186},{7,31,7169},{5,31,3633},{9,31,24543},{3,31,6762},{0,31,81},{0,24,5819},{0,29,21333},{0,23,10106},{17,31,8955},{14,31,3433},{12,31,980},{10,30,242},{29,5,14504},{6,31,5834},{1,31,74},{0,24,5819},{31,16,14504},{0,24,5819},{7,31,7169},{7,31,7169},{7,31,7169},{5,30,3618},{4,31,6757},{0,31,81},{0,31,81},{0,20,821},{0,21,8245},{0,18,3531},{12,31,980},
{12,31,980},{12,31,980},{10,28,13},{24,0,4418},{1,31,74},{1,31,74},{0,20,821},{24,12,4418},{0,20,821},{29,21,2888},{20,31,1156},{17,31,1},{3,31,1},{29,21,2888},{31,24,2888},{3,31,1},{0,26,2906},{31,24,2888},{0,26,2906},{5,0,3617},{5,0,3617},{5,0,3617},{5,0,3617},{0,31,0},{0,31,0},{0,31,0},{0,15,9},{0,13,1421},{0,13,1421},{12,31,21949},{9,31,12367},{8,31,8449},
{6,31,4338},{10,31,24600},{3,31,6650},{1,31,298},{0,25,4698},{0,30,20575},{0,24,9247},{17,31,8219},{15,31,3236},{13,31,1157},{11,30,122},{31,3,13235},{7,31,5260},{3,31,145},{0,25,4698},{31,17,13235},{0,25,4698},{8,31,8449},{8,31,8449},{8,31,8449},{6,31,4338},{5,31,7667},{1,31,298},{1,31,298},{0,21,680},{0,23,8779},{0,19,3786},{13,31,1157},{13,31,1157},{13,31,1157},{11,29,13},{25,1,4418},
{3,31,145},{3,31,145},{0,21,680},{27,12,4418},{0,21,680},{31,19,2314},{22,31,949},{19,31,4},{6,31,1},{31,19,2314},{31,25,2314},{6,31,1},{0,27,2314},{31,25,2314},{0,27,2314},{6,0,4337},{6,0,4337},{6,0,4337},{6,0,4337},{0,31,64},{0,31,64},{0,31,64},{0,17,0},{0,13,1709},{0,13,1709},{12,31,22557},{10,31,13585},{9,31,9926},{6,31,5186},{11,31,24636},{3,31,6794},{2,31,692},
{0,26,3723},{0,31,19836},{0,25,8442},{19,31,7417},{16,31,3126},{15,31,1268},{12,31,68},{29,9,12051},{8,31,4762},{4,31,232},{0,26,3723},{27,20,12051},{0,26,3723},{9,31,9926},{9,31,9926},{9,31,9926},{6,31,5186},{5,31,8691},{2,31,692},{2,31,692},{0,22,557},{0,25,9284},{0,21,3929},{15,31,1268},{15,31,1268},{15,31,1268},{12,30,8},{27,0,4418},{4,31,232},{4,31,232},{0,22,557},{30,12,4418},
{0,22,557},{31,20,1800},{22,31,725},{20,31,0},{9,31,1},{31,20,1800},{30,26,1800},{9,31,1},{0,27,1818},{30,26,1800},{0,27,1818},{6,0,5105},{6,0,5105},{6,0,5105},{6,0,5105},{1,31,185},{1,31,185},{1,31,185},{0,18,9},{0,15,2042},{0,15,2042},{12,31,23421},{11,31,14850},{9,31,11462},{7,31,6149},{11,31,24860},{4,31,7053},{2,31,1236},{0,26,2891},{0,31,19260},{0,25,7818},{19,31,6761},
{17,31,3107},{16,31,1429},{13,31,8},{31,7,10952},{10,31,4300},{6,31,353},{0,26,2891},{31,19,10952},{0,26,2891},{9,31,11462},{9,31,11462},{9,31,11462},{7,31,6149},{7,31,9845},{2,31,1236},{2,31,1236},{0,23,485},{0,25,9764},{0,21,4185},{16,31,1429},{16,31,1429},{16,31,1429},{13,31,8},{28,1,4418},{6,31,353},{6,31,353},{0,23,485},{31,13,4418},{0,23,485},{31,22,1354},{23,31,548},{22,31,4},
{12,31,0},{31,22,1354},{30,27,1354},{12,31,0},{0,28,1360},{30,27,1354},{0,28,1360},{7,0,5953},{7,0,5953},{7,0,5953},{7,0,5953},{1,31,425},{1,31,425},{1,31,425},{0,20,1},{0,17,2372},{0,17,2372},{13,31,24507},{11,31,16398},{10,31,13349},{8,31,7460},{11,31,25418},{4,31,7647},{3,31,2021},{0,27,2089},{0,31,18918},{0,26,7302},{20,31,6098},{18,31,3037},{17,31,1640},{14,31,25},{29,13,9818},
{12,31,3874},{8,31,521},{0,27,2089},{31,20,9818},{0,27,2089},{10,31,13349},{10,31,13349},{10,31,13349},{8,31,7460},{7,31,11195},{3,31,2021},{3,31,2021},{0,24,392},{0,27,10472},{0,23,4562},{17,31,1640},{17,31,1640},{17,31,1640},{14,31,25},{28,4,4418},{8,31,521},{8,31,521},{0,24,392},{28,16,4418},{0,24,392},{31,23,925},{24,31,386},{23,31,1},{15,31,1},{31,23,925},{31,27,925},{15,31,1},
{0,28,937},{31,27,925},{0,28,937},{7,0,6970},{7,0,6970},{7,0,6970},{7,0,6970},{2,31,785},{2,31,785},{2,31,785},{0,22,4},{0,17,2741},{0,17,2741},{14,31,25663},{12,31,17995},{11,31,15021},{8,31,8740},{12,31,26003},{6,31,8399},{3,31,2965},{0,28,1481},{0,31,18886},{0,26,7014},{21,31,5634},{19,31,2950},{18,31,1853},{16,31,72},{31,11,8901},{14,31,3578},{10,31,698},{0,28,1481},{31,21,8901},
{0,28,1481},{11,31,15021},{11,31,15021},{11,31,15021},{8,31,8740},{8,31,12646},{3,31,2965},{3,31,2965},{0,26,292},{0,29,11051},{0,24,4876},{18,31,1853},{18,31,1853},{18,31,1853},{16,31,72},{29,5,4418},{10,31,698},{10,31,698},{0,26,292},{31,16,4418},{0,26,292},{31,25,613},{26,31,245},{25,31,4},{18,31,1},{31,25,613},{27,30,613},{18,31,1},{0,29,617},{27,30,613},{0,29,617},{8,0,7956},
{8,0,7956},{8,0,7956},{8,0,7956},{3,31,1201},{3,31,1201},{3,31,1201},{0,23,0},{0,18,3185},{0,18,3185},{15,31,26715},{12,31,19659},{11,31,16925},{9,31,10232},{12,31,26835},{6,31,9215},{4,31,4027},{0,28,985},{0,31,19110},{0,27,6797},{22,31,5238},{20,31,2950},{19,31,2005},{17,31,180},{29,17,8069},{15,31,3314},{11,31,905},{0,28,985},{27,24,8069},{0,28,985},{11,31,16925},{11,31,16925},{11,31,16925},
{9,31,10232},{8,31,14182},{4,31,4027},{4,31,4027},{0,27,232},{0,29,11627},{0,25,5117},{19,31,2005},{19,31,2005},{19,31,2005},{17,31,180},{31,4,4418},{11,31,905},{11,31,905},{0,27,232},{30,18,4418},{0,27,232},{31,26,365},{27,31,146},{26,31,1},{21,31,1},{31,26,365},{30,29,365},{21,31,1},{0,29,377},{30,29,365},{0,29,377},{8,0,8980},{8,0,8980},{8,0,8980},{8,0,8980},{3,31,1665},
{3,31,1665},{3,31,1665},{0,24,4},{0,20,3601},{0,20,3601},{15,31,26555},{13,31,20326},{12,31,17723},{10,31,10897},{13,31,26598},{7,31,9527},{5,31,4934},{0,29,590},{0,31,18606},{0,28,5786},{23,31,4770},{21,31,3041},{20,31,2210},{18,31,325},{31,15,7322},{16,31,3126},{14,31,1145},{0,29,554},{31,23,7322},{0,29,554},{12,31,17723},{12,31,17723},{12,31,17723},{10,31,10897},{9,31,15092},{5,31,4934},{5,31,4934},
{0,28,205},{0,31,11381},{0,26,4709},{20,31,2210},{20,31,2210},{20,31,2210},{18,31,325},{31,7,4418},{14,31,1145},{14,31,1145},{0,28,169},{31,19,4418},{0,28,169},{31,27,185},{28,31,73},{27,31,9},{24,31,0},{31,27,185},{31,29,185},{24,31,0},{0,30,185},{31,29,185},{0,30,185},{9,0,9248},{9,0,9248},{9,0,9248},{9,0,9248},{4,31,1954},{4,31,1954},{4,31,1954},{1,25,8},{0,21,3330},
{0,21,3330},{16,31,25958},{15,31,20468},{13,31,18321},{11,31,11371},{15,31,25748},{8,31,9863},{7,31,5684},{1,30,373},{0,31,18111},{0,29,4452},{24,31,4437},{23,31,3084},{22,31,2500},{19,31,554},{29,21,6584},{18,31,2996},{15,31,1412},{0,30,237},{31,24,6584},{0,30,237},{13,31,18321},{13,31,18321},{13,31,18321},{11,31,11371},{11,31,15661},{7,31,5684},{7,31,5684},{1,29,206},{0,31,10886},{0,27,4019},{22,31,2500},
{22,31,2500},{22,31,2500},{19,31,554},{28,16,4418},{15,31,1412},{15,31,1412},{0,29,100},{24,24,4418},{0,29,100},{31,29,52},{30,31,25},{29,31,1},{27,31,1},{31,29,52},{31,30,52},{27,31,1},{0,30,68},{31,30,52},{0,30,68},{10,0,9250},{10,0,9250},{10,0,9250},{10,0,9250},{5,31,2197},{5,31,2197},{5,31,2197},{2,27,5},{0,23,2929},{0,23,2929},{17,31,25604},{15,31,20628},{15,31,18692},
{12,31,11876},{16,31,25201},{10,31,10381},{8,31,6470},{2,30,270},{2,31,17924},{0,29,3588},{25,31,4259},{23,31,3148},{23,31,2664},{20,31,820},{31,19,6019},{19,31,2950},{16,31,1717},{0,30,125},{31,25,6019},{0,30,125},{15,31,18692},{15,31,18692},{15,31,18692},{12,31,11876},{12,31,16244},{8,31,6470},{8,31,6470},{2,30,206},{0,31,10854},{0,29,3332},{23,31,2664},{23,31,2664},{23,31,2664},{20,31,820},{29,17,4418},
{16,31,1717},{16,31,1717},{0,30,61},{27,24,4418},{0,30,61},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{31,31,4},{30,31,1},{0,31,4},{31,31,4},{0,31,4},{11,0,9250},{11,0,9250},{11,0,9250},{11,0,9250},{6,31,2440},{6,31,2440},{6,31,2440},{3,27,10},{0,25,2509},{0,25,2509},{18,31,24418},{16,31,19831},{15,31,18144},{13,31,11876},{16,31,23685},{11,31,10015},{8,31,6638},
{3,31,170},{3,31,16879},{0,30,2738},{25,31,3699},{24,31,2766},{24,31,2405},{21,31,820},{31,20,5164},{20,31,2584},{18,31,1552},{0,31,9},{30,26,5164},{0,31,9},{15,31,18144},{15,31,18144},{15,31,18144},{13,31,11876},{12,31,15696},{8,31,6638},{8,31,6638},{4,30,132},{0,31,10150},{0,29,2624},{24,31,2405},{24,31,2405},{24,31,2405},{21,31,820},{31,15,3872},{18,31,1552},{18,31,1552},{0,31,9},{31,23,3872},
{0,31,9},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{12,0,9248},{12,0,9248},{12,0,9248},{12,0,9248},{7,31,2612},{7,31,2612},{7,31,2612},{4,28,8},{0,27,2210},{0,27,2210},{19,31,22762},{17,31,18876},{16,31,17222},{14,31,11585},{17,31,22068},{11,31,9551},{10,31,6509},{5,31,68},{4,31,15612},{0,30,2098},{26,31,3089},
{24,31,2334},{24,31,1973},{22,31,661},{29,25,4267},{22,31,2150},{19,31,1285},{2,31,0},{27,28,4267},{2,31,0},{16,31,17222},{16,31,17222},{16,31,17222},{14,31,11585},{13,31,14786},{10,31,6509},{10,31,6509},{5,31,68},{0,31,9366},{0,30,2034},{24,31,1973},{24,31,1973},{24,31,1973},{22,31,661},{31,16,3202},{19,31,1285},{19,31,1285},{2,31,0},{30,24,3202},{2,31,0},{31,31,0},{31,31,0},{31,31,0},
{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{13,0,9248},{13,0,9248},{13,0,9248},{13,0,9248},{8,31,2845},{8,31,2845},{8,31,2845},{5,29,8},{0,29,1856},{0,29,1856},{19,31,21160},{18,31,17776},{17,31,16329},{15,31,11282},{17,31,20358},{12,31,9098},{11,31,6310},{6,31,5},{6,31,14287},{0,31,1565},{27,31,2412},{25,31,1862},{25,31,1573},{23,31,509},{28,28,3361},
{22,31,1691},{20,31,1021},{5,31,1},{28,28,3361},{5,31,1},{17,31,16329},{17,31,16329},{17,31,16329},{15,31,11282},{15,31,13658},{11,31,6310},{11,31,6310},{6,31,5},{2,31,8690},{0,31,1565},{25,31,1573},{25,31,1573},{25,31,1573},{23,31,509},{31,18,2521},{20,31,1021},{20,31,1021},{5,31,1},{30,25,2521},{5,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{14,0,9250},{14,0,9250},{14,0,9250},{14,0,9250},{9,31,3176},{9,31,3176},{9,31,3176},{6,31,5},{0,30,1556},{0,30,1556},{20,31,19810},{19,31,16741},{18,31,15584},{16,31,11057},{19,31,18721},{14,31,8860},{12,31,6234},{7,31,10},{7,31,13210},{0,31,1325},{27,31,1868},{26,31,1464},{26,31,1268},{24,31,397},{31,23,2649},{23,31,1329},{22,31,794},{8,31,0},{31,27,2649},
{8,31,0},{18,31,15584},{18,31,15584},{18,31,15584},{16,31,11057},{15,31,12858},{12,31,6234},{12,31,6234},{7,31,10},{3,31,8150},{0,31,1325},{26,31,1268},{26,31,1268},{26,31,1268},{24,31,397},{31,19,1989},{22,31,794},{22,31,794},{8,31,0},{31,25,1989},{8,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{15,0,9250},
{15,0,9250},{15,0,9250},{15,0,9250},{11,31,3365},{11,31,3365},{11,31,3365},{7,31,10},{0,31,1325},{0,31,1325},{20,31,18626},{19,31,15845},{19,31,14756},{17,31,10897},{19,31,17297},{15,31,8442},{13,31,6285},{8,31,68},{8,31,12227},{0,31,1341},{27,31,1452},{27,31,1089},{27,31,968},{25,31,325},{31,24,2018},{24,31,1011},{23,31,605},{11,31,0},{30,28,2018},{11,31,0},{19,31,14756},{19,31,14756},{19,31,14756},
{17,31,10897},{16,31,12077},{13,31,6285},{13,31,6285},{8,31,68},{4,31,7686},{0,31,1341},{27,31,968},{27,31,968},{27,31,968},{25,31,325},{31,21,1513},{23,31,605},{23,31,605},{11,31,0},{31,26,1513},{11,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{16,0,9248},{16,0,9248},{16,0,9248},{16,0,9248},{12,31,3626},
{12,31,3626},{12,31,3626},{8,31,68},{0,31,1341},{0,31,1341},{21,31,17476},{20,31,14998},{20,31,14098},{18,31,10672},{20,31,16018},{15,31,8154},{15,31,6218},{9,31,200},{10,31,11338},{0,31,1613},{28,31,1041},{27,31,801},{27,31,680},{26,31,232},{29,29,1473},{26,31,753},{24,31,442},{14,31,0},{31,28,1473},{14,31,0},{20,31,14098},{20,31,14098},{20,31,14098},{18,31,10672},{17,31,11453},{15,31,6218},{15,31,6218},
{9,31,200},{6,31,7270},{0,31,1613},{27,31,680},{27,31,680},{27,31,680},{26,31,232},{28,28,1105},{24,31,442},{24,31,442},{14,31,0},{28,28,1105},{14,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{17,0,9248},{17,0,9248},{17,0,9248},{17,0,9248},{13,31,3929},{13,31,3929},{13,31,3929},{9,31,200},{0,31,1613},
{0,31,1613},
/**** ended inlining basisu_transcoder_tables_dxt1_5.inc ****/
};
#endif // BASISD_SUPPORT_DXT1
#if BASISD_SUPPORT_DXT1 || BASISD_SUPPORT_UASTC
// First saw the idea for optimal BC1 single-color block encoding using lookup tables in ryg_dxt.
struct bc1_match_entry
{
uint8_t m_hi;
uint8_t m_lo;
};
static bc1_match_entry g_bc1_match5_equals_1[256], g_bc1_match6_equals_1[256]; // selector 1, allow equals hi/lo
static bc1_match_entry g_bc1_match5_equals_0[256], g_bc1_match6_equals_0[256]; // selector 0, allow equals hi/lo
static void prepare_bc1_single_color_table(bc1_match_entry* pTable, const uint8_t* pExpand, int size0, int size1, int sel)
{
for (int i = 0; i < 256; i++)
{
int lowest_e = 256;
for (int lo = 0; lo < size0; lo++)
{
for (int hi = 0; hi < size1; hi++)
{
const int lo_e = pExpand[lo], hi_e = pExpand[hi];
int e;
if (sel == 1)
{
// Selector 1
e = basisu::iabs(((hi_e * 2 + lo_e) / 3) - i);
e += (basisu::iabs(hi_e - lo_e) * 3) / 100;
}
else
{
assert(sel == 0);
// Selector 0
e = basisu::iabs(hi_e - i);
}
if (e < lowest_e)
{
pTable[i].m_hi = static_cast<uint8_t>(hi);
pTable[i].m_lo = static_cast<uint8_t>(lo);
lowest_e = e;
}
} // hi
} // lo
}
}
#endif
#if BASISD_WRITE_NEW_DXT1_TABLES
static void create_etc1_to_dxt1_5_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_dxt1_5.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_DXT1_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_dxt1_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_dxt1_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 31; hi++)
{
for (uint32_t lo = 0; lo <= 31; lo++)
{
//if (lo == hi) continue;
uint32_t colors[4];
colors[0] = (lo << 3) | (lo >> 2);
colors[3] = (hi << 3) | (hi >> 2);
colors[1] = (colors[0] * 2 + colors[3]) / 3;
colors[2] = (colors[3] * 2 + colors[0]) / 3;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_dxt1_selector_mappings[m][s]];
total_err += err * err;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
assert(best_err <= 0xFFFF);
//table[g + inten * 32].m_solutions[sr][m].m_lo = static_cast<uint8_t>(best_lo);
//table[g + inten * 32].m_solutions[sr][m].m_hi = static_cast<uint8_t>(best_hi);
//table[g + inten * 32].m_solutions[sr][m].m_err = static_cast<uint16_t>(best_err);
//assert(best_lo != best_hi);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
static void create_etc1_to_dxt1_6_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_dxt1_6.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_DXT1_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_dxt1_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_dxt1_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 63; hi++)
{
for (uint32_t lo = 0; lo <= 63; lo++)
{
//if (lo == hi) continue;
uint32_t colors[4];
colors[0] = (lo << 2) | (lo >> 4);
colors[3] = (hi << 2) | (hi >> 4);
colors[1] = (colors[0] * 2 + colors[3]) / 3;
colors[2] = (colors[3] * 2 + colors[0]) / 3;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_dxt1_selector_mappings[m][s]];
total_err += err * err;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
assert(best_err <= 0xFFFF);
//table[g + inten * 32].m_solutions[sr][m].m_lo = static_cast<uint8_t>(best_lo);
//table[g + inten * 32].m_solutions[sr][m].m_hi = static_cast<uint8_t>(best_hi);
//table[g + inten * 32].m_solutions[sr][m].m_err = static_cast<uint16_t>(best_err);
//assert(best_lo != best_hi);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
#endif
#if BASISD_SUPPORT_UASTC || BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_ETC2_EAC_RG11
static const int8_t g_eac_modifier_table[16][8] =
{
{ -3, -6, -9, -15, 2, 5, 8, 14 },
{ -3, -7, -10, -13, 2, 6, 9, 12 },
{ -2, -5, -8, -13, 1, 4, 7, 12 },
{ -2, -4, -6, -13, 1, 3, 5, 12 },
{ -3, -6, -8, -12, 2, 5, 7, 11 },
{ -3, -7, -9, -11, 2, 6, 8, 10 },
{ -4, -7, -8, -11, 3, 6, 7, 10 },
{ -3, -5, -8, -11, 2, 4, 7, 10 },
{ -2, -6, -8, -10, 1, 5, 7, 9 },
{ -2, -5, -8, -10, 1, 4, 7, 9 },
{ -2, -4, -8, -10, 1, 3, 7, 9 },
{ -2, -5, -7, -10, 1, 4, 6, 9 },
{ -3, -4, -7, -10, 2, 3, 6, 9 },
{ -1, -2, -3, -10, 0, 1, 2, 9 }, // entry 13
{ -4, -6, -8, -9, 3, 5, 7, 8 },
{ -3, -5, -7, -9, 2, 4, 6, 8 }
};
// Used by ETC2 EAC A8 and ETC2 EAC R11/RG11.
struct eac_block
{
uint16_t m_base : 8;
uint16_t m_table : 4;
uint16_t m_multiplier : 4;
uint8_t m_selectors[6];
uint32_t get_selector(uint32_t x, uint32_t y) const
{
assert((x < 4) && (y < 4));
const uint32_t ofs = 45 - (y + x * 4) * 3;
const uint64_t pixels = get_selector_bits();
return (pixels >> ofs) & 7;
}
void set_selector(uint32_t x, uint32_t y, uint32_t s)
{
assert((x < 4) && (y < 4) && (s < 8));
const uint32_t ofs = 45 - (y + x * 4) * 3;
uint64_t pixels = get_selector_bits();
pixels &= ~(7ULL << ofs);
pixels |= (static_cast<uint64_t>(s) << ofs);
set_selector_bits(pixels);
}
uint64_t get_selector_bits() const
{
uint64_t pixels = ((uint64_t)m_selectors[0] << 40) | ((uint64_t)m_selectors[1] << 32) |
((uint64_t)m_selectors[2] << 24) |
((uint64_t)m_selectors[3] << 16) | ((uint64_t)m_selectors[4] << 8) | m_selectors[5];
return pixels;
}
void set_selector_bits(uint64_t pixels)
{
m_selectors[0] = (uint8_t)(pixels >> 40);
m_selectors[1] = (uint8_t)(pixels >> 32);
m_selectors[2] = (uint8_t)(pixels >> 24);
m_selectors[3] = (uint8_t)(pixels >> 16);
m_selectors[4] = (uint8_t)(pixels >> 8);
m_selectors[5] = (uint8_t)(pixels);
}
};
#endif // #if BASISD_SUPPORT_UASTC BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_ETC2_EAC_RG11
#if BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_ETC2_EAC_RG11
static const dxt_selector_range s_etc2_eac_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
};
const uint32_t NUM_ETC2_EAC_SELECTOR_RANGES = sizeof(s_etc2_eac_selector_ranges) / sizeof(s_etc2_eac_selector_ranges[0]);
struct etc1_g_to_eac_conversion
{
uint8_t m_base;
uint8_t m_table_mul; // mul*16+table
uint16_t m_trans; // translates ETC1 selectors to ETC2_EAC_A8
};
#endif // BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_ETC2_EAC_RG11
#if BASISD_SUPPORT_ETC2_EAC_A8
#if BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
struct pack_eac_a8_results
{
uint32_t m_base;
uint32_t m_table;
uint32_t m_multiplier;
std::vector<uint8_t> m_selectors;
std::vector<uint8_t> m_selectors_temp;
};
static uint64_t pack_eac_a8_exhaustive(pack_eac_a8_results& results, const uint8_t* pPixels, uint32_t num_pixels)
{
results.m_selectors.resize(num_pixels);
results.m_selectors_temp.resize(num_pixels);
uint64_t best_err = UINT64_MAX;
for (uint32_t base_color = 0; base_color < 256; base_color++)
{
for (uint32_t multiplier = 1; multiplier < 16; multiplier++)
{
for (uint32_t table = 0; table < 16; table++)
{
uint64_t total_err = 0;
for (uint32_t i = 0; i < num_pixels; i++)
{
const int a = pPixels[i];
uint32_t best_s_err = UINT32_MAX;
uint32_t best_s = 0;
for (uint32_t s = 0; s < 8; s++)
{
int v = (int)multiplier * g_eac_modifier_table[table][s] + (int)base_color;
if (v < 0)
v = 0;
else if (v > 255)
v = 255;
uint32_t err = abs(a - v);
if (err < best_s_err)
{
best_s_err = err;
best_s = s;
}
}
results.m_selectors_temp[i] = static_cast<uint8_t>(best_s);
total_err += best_s_err * best_s_err;
if (total_err >= best_err)
break;
}
if (total_err < best_err)
{
best_err = total_err;
results.m_base = base_color;
results.m_multiplier = multiplier;
results.m_table = table;
results.m_selectors.swap(results.m_selectors_temp);
}
} // table
} // multiplier
} // base_color
return best_err;
}
#endif // BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
static
#if !BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
const
#endif
etc1_g_to_eac_conversion s_etc1_g_to_etc2_a8[32 * 8][NUM_ETC2_EAC_SELECTOR_RANGES] =
{
{ { 0,1,3328 },{ 0,1,3328 },{ 0,1,256 },{ 0,1,256 } },
{ { 0,226,3936 },{ 0,226,3936 },{ 0,81,488 },{ 0,81,488 } },
{ { 6,178,4012 },{ 6,178,4008 },{ 0,146,501 },{ 0,130,496 } },
{ { 14,178,4012 },{ 14,178,4008 },{ 8,146,501 },{ 6,82,496 } },
{ { 23,178,4012 },{ 23,178,4008 },{ 17,146,501 },{ 3,228,496 } },
{ { 31,178,4012 },{ 31,178,4008 },{ 25,146,501 },{ 11,228,496 } },
{ { 39,178,4012 },{ 39,178,4008 },{ 33,146,501 },{ 19,228,496 } },
{ { 47,178,4012 },{ 47,178,4008 },{ 41,146,501 },{ 27,228,496 } },
{ { 56,178,4012 },{ 56,178,4008 },{ 50,146,501 },{ 36,228,496 } },
{ { 64,178,4012 },{ 64,178,4008 },{ 58,146,501 },{ 44,228,496 } },
{ { 72,178,4012 },{ 72,178,4008 },{ 66,146,501 },{ 52,228,496 } },
{ { 80,178,4012 },{ 80,178,4008 },{ 74,146,501 },{ 60,228,496 } },
{ { 89,178,4012 },{ 89,178,4008 },{ 83,146,501 },{ 69,228,496 } },
{ { 97,178,4012 },{ 97,178,4008 },{ 91,146,501 },{ 77,228,496 } },
{ { 105,178,4012 },{ 105,178,4008 },{ 99,146,501 },{ 85,228,496 } },
{ { 113,178,4012 },{ 113,178,4008 },{ 107,146,501 },{ 93,228,496 } },
{ { 122,178,4012 },{ 122,178,4008 },{ 116,146,501 },{ 102,228,496 } },
{ { 130,178,4012 },{ 130,178,4008 },{ 124,146,501 },{ 110,228,496 } },
{ { 138,178,4012 },{ 138,178,4008 },{ 132,146,501 },{ 118,228,496 } },
{ { 146,178,4012 },{ 146,178,4008 },{ 140,146,501 },{ 126,228,496 } },
{ { 155,178,4012 },{ 155,178,4008 },{ 149,146,501 },{ 135,228,496 } },
{ { 163,178,4012 },{ 163,178,4008 },{ 157,146,501 },{ 143,228,496 } },
{ { 171,178,4012 },{ 171,178,4008 },{ 165,146,501 },{ 151,228,496 } },
{ { 179,178,4012 },{ 179,178,4008 },{ 173,146,501 },{ 159,228,496 } },
{ { 188,178,4012 },{ 188,178,4008 },{ 182,146,501 },{ 168,228,496 } },
{ { 196,178,4012 },{ 196,178,4008 },{ 190,146,501 },{ 176,228,496 } },
{ { 204,178,4012 },{ 204,178,4008 },{ 198,146,501 },{ 184,228,496 } },
{ { 212,178,4012 },{ 212,178,4008 },{ 206,146,501 },{ 192,228,496 } },
{ { 221,178,4012 },{ 221,178,4008 },{ 215,146,501 },{ 201,228,496 } },
{ { 229,178,4012 },{ 229,178,4008 },{ 223,146,501 },{ 209,228,496 } },
{ { 235,66,4012 },{ 221,100,4008 },{ 231,146,501 },{ 217,228,496 } },
{ { 211,102,4085 },{ 118,31,4080 },{ 211,102,501 },{ 118,31,496 } },
{ { 1,2,3328 },{ 1,2,3328 },{ 0,1,320 },{ 0,1,320 } },
{ { 7,162,3905 },{ 7,162,3904 },{ 1,17,480 },{ 1,17,480 } },
{ { 15,162,3906 },{ 15,162,3904 },{ 1,117,352 },{ 1,117,352 } },
{ { 23,162,3906 },{ 23,162,3904 },{ 5,34,500 },{ 4,53,424 } },
{ { 32,162,3906 },{ 32,162,3904 },{ 14,34,500 },{ 3,69,424 } },
{ { 40,162,3906 },{ 40,162,3904 },{ 22,34,500 },{ 1,133,496 } },
{ { 48,162,3906 },{ 48,162,3904 },{ 30,34,500 },{ 4,85,496 } },
{ { 56,162,3906 },{ 56,162,3904 },{ 38,34,500 },{ 12,85,496 } },
{ { 65,162,3906 },{ 65,162,3904 },{ 47,34,500 },{ 1,106,424 } },
{ { 73,162,3906 },{ 73,162,3904 },{ 55,34,500 },{ 9,106,424 } },
{ { 81,162,3906 },{ 81,162,3904 },{ 63,34,500 },{ 7,234,496 } },
{ { 89,162,3906 },{ 89,162,3904 },{ 71,34,500 },{ 15,234,496 } },
{ { 98,162,3906 },{ 98,162,3904 },{ 80,34,500 },{ 24,234,496 } },
{ { 106,162,3906 },{ 106,162,3904 },{ 88,34,500 },{ 32,234,496 } },
{ { 114,162,3906 },{ 114,162,3904 },{ 96,34,500 },{ 40,234,496 } },
{ { 122,162,3906 },{ 122,162,3904 },{ 104,34,500 },{ 48,234,496 } },
{ { 131,162,3906 },{ 131,162,3904 },{ 113,34,500 },{ 57,234,496 } },
{ { 139,162,3906 },{ 139,162,3904 },{ 121,34,500 },{ 65,234,496 } },
{ { 147,162,3906 },{ 147,162,3904 },{ 129,34,500 },{ 73,234,496 } },
{ { 155,162,3906 },{ 155,162,3904 },{ 137,34,500 },{ 81,234,496 } },
{ { 164,162,3906 },{ 164,162,3904 },{ 146,34,500 },{ 90,234,496 } },
{ { 172,162,3906 },{ 172,162,3904 },{ 154,34,500 },{ 98,234,496 } },
{ { 180,162,3906 },{ 180,162,3904 },{ 162,34,500 },{ 106,234,496 } },
{ { 188,162,3906 },{ 188,162,3904 },{ 170,34,500 },{ 114,234,496 } },
{ { 197,162,3906 },{ 197,162,3904 },{ 179,34,500 },{ 123,234,496 } },
{ { 205,162,3906 },{ 205,162,3904 },{ 187,34,500 },{ 131,234,496 } },
{ { 213,162,3906 },{ 213,162,3904 },{ 195,34,500 },{ 139,234,496 } },
{ { 221,162,3906 },{ 221,162,3904 },{ 203,34,500 },{ 147,234,496 } },
{ { 230,162,3906 },{ 230,162,3904 },{ 212,34,500 },{ 156,234,496 } },
{ { 238,162,3906 },{ 174,106,4008 },{ 220,34,500 },{ 164,234,496 } },
{ { 240,178,4001 },{ 182,106,4008 },{ 228,34,500 },{ 172,234,496 } },
{ { 166,108,4085 },{ 115,31,4080 },{ 166,108,501 },{ 115,31,496 } },
{ { 1,68,3328 },{ 1,68,3328 },{ 0,17,384 },{ 0,17,384 } },
{ { 1,148,3904 },{ 1,148,3904 },{ 1,2,384 },{ 1,2,384 } },
{ { 21,18,3851 },{ 21,18,3848 },{ 1,50,488 },{ 1,50,488 } },
{ { 27,195,3851 },{ 29,18,3848 },{ 0,67,488 },{ 0,67,488 } },
{ { 34,195,3907 },{ 38,18,3848 },{ 20,66,482 },{ 0,3,496 } },
{ { 42,195,3907 },{ 46,18,3848 },{ 28,66,482 },{ 2,6,424 } },
{ { 50,195,3907 },{ 54,18,3848 },{ 36,66,482 },{ 4,22,424 } },
{ { 58,195,3907 },{ 62,18,3848 },{ 44,66,482 },{ 3,73,424 } },
{ { 67,195,3907 },{ 71,18,3848 },{ 53,66,482 },{ 3,22,496 } },
{ { 75,195,3907 },{ 79,18,3848 },{ 61,66,482 },{ 2,137,496 } },
{ { 83,195,3907 },{ 87,18,3848 },{ 69,66,482 },{ 1,89,496 } },
{ { 91,195,3907 },{ 95,18,3848 },{ 77,66,482 },{ 9,89,496 } },
{ { 100,195,3907 },{ 104,18,3848 },{ 86,66,482 },{ 18,89,496 } },
{ { 108,195,3907 },{ 112,18,3848 },{ 94,66,482 },{ 26,89,496 } },
{ { 116,195,3907 },{ 120,18,3848 },{ 102,66,482 },{ 34,89,496 } },
{ { 124,195,3907 },{ 128,18,3848 },{ 110,66,482 },{ 42,89,496 } },
{ { 133,195,3907 },{ 137,18,3848 },{ 119,66,482 },{ 51,89,496 } },
{ { 141,195,3907 },{ 145,18,3848 },{ 127,66,482 },{ 59,89,496 } },
{ { 149,195,3907 },{ 153,18,3848 },{ 135,66,482 },{ 67,89,496 } },
{ { 157,195,3907 },{ 161,18,3848 },{ 143,66,482 },{ 75,89,496 } },
{ { 166,195,3907 },{ 170,18,3848 },{ 152,66,482 },{ 84,89,496 } },
{ { 174,195,3907 },{ 178,18,3848 },{ 160,66,482 },{ 92,89,496 } },
{ { 182,195,3907 },{ 186,18,3848 },{ 168,66,482 },{ 100,89,496 } },
{ { 190,195,3907 },{ 194,18,3848 },{ 176,66,482 },{ 108,89,496 } },
{ { 199,195,3907 },{ 203,18,3848 },{ 185,66,482 },{ 117,89,496 } },
{ { 207,195,3907 },{ 211,18,3848 },{ 193,66,482 },{ 125,89,496 } },
{ { 215,195,3907 },{ 219,18,3848 },{ 201,66,482 },{ 133,89,496 } },
{ { 223,195,3907 },{ 227,18,3848 },{ 209,66,482 },{ 141,89,496 } },
{ { 231,195,3907 },{ 168,89,4008 },{ 218,66,482 },{ 150,89,496 } },
{ { 236,18,3907 },{ 176,89,4008 },{ 226,66,482 },{ 158,89,496 } },
{ { 158,90,4085 },{ 103,31,4080 },{ 158,90,501 },{ 103,31,496 } },
{ { 166,90,4085 },{ 111,31,4080 },{ 166,90,501 },{ 111,31,496 } },
{ { 0,70,3328 },{ 0,70,3328 },{ 0,45,256 },{ 0,45,256 } },
{ { 0,117,3904 },{ 0,117,3904 },{ 0,35,384 },{ 0,35,384 } },
{ { 13,165,3905 },{ 13,165,3904 },{ 3,221,416 },{ 3,221,416 } },
{ { 21,165,3906 },{ 21,165,3904 },{ 11,221,416 },{ 11,221,416 } },
{ { 30,165,3906 },{ 30,165,3904 },{ 7,61,352 },{ 7,61,352 } },
{ { 38,165,3906 },{ 38,165,3904 },{ 2,125,352 },{ 2,125,352 } },
{ { 46,165,3906 },{ 46,165,3904 },{ 2,37,500 },{ 10,125,352 } },
{ { 54,165,3906 },{ 54,165,3904 },{ 10,37,500 },{ 5,61,424 } },
{ { 63,165,3906 },{ 63,165,3904 },{ 19,37,500 },{ 1,189,424 } },
{ { 4,254,4012 },{ 71,165,3904 },{ 27,37,500 },{ 9,189,424 } },
{ { 12,254,4012 },{ 79,165,3904 },{ 35,37,500 },{ 4,77,424 } },
{ { 20,254,4012 },{ 87,165,3904 },{ 43,37,500 },{ 12,77,424 } },
{ { 29,254,4012 },{ 96,165,3904 },{ 52,37,500 },{ 8,93,424 } },
{ { 37,254,4012 },{ 104,165,3904 },{ 60,37,500 },{ 3,141,496 } },
{ { 45,254,4012 },{ 112,165,3904 },{ 68,37,500 },{ 11,141,496 } },
{ { 53,254,4012 },{ 120,165,3904 },{ 76,37,500 },{ 6,93,496 } },
{ { 62,254,4012 },{ 129,165,3904 },{ 85,37,500 },{ 15,93,496 } },
{ { 70,254,4012 },{ 137,165,3904 },{ 93,37,500 },{ 23,93,496 } },
{ { 78,254,4012 },{ 145,165,3904 },{ 101,37,500 },{ 31,93,496 } },
{ { 86,254,4012 },{ 153,165,3904 },{ 109,37,500 },{ 39,93,496 } },
{ { 95,254,4012 },{ 162,165,3904 },{ 118,37,500 },{ 48,93,496 } },
{ { 103,254,4012 },{ 170,165,3904 },{ 126,37,500 },{ 56,93,496 } },
{ { 111,254,4012 },{ 178,165,3904 },{ 134,37,500 },{ 64,93,496 } },
{ { 119,254,4012 },{ 186,165,3904 },{ 142,37,500 },{ 72,93,496 } },
{ { 128,254,4012 },{ 195,165,3904 },{ 151,37,500 },{ 81,93,496 } },
{ { 136,254,4012 },{ 203,165,3904 },{ 159,37,500 },{ 89,93,496 } },
{ { 212,165,3906 },{ 136,77,4008 },{ 167,37,500 },{ 97,93,496 } },
{ { 220,165,3394 },{ 131,93,4008 },{ 175,37,500 },{ 105,93,496 } },
{ { 214,181,4001 },{ 140,93,4008 },{ 184,37,500 },{ 114,93,496 } },
{ { 222,181,4001 },{ 148,93,4008 },{ 192,37,500 },{ 122,93,496 } },
{ { 114,95,4085 },{ 99,31,4080 },{ 114,95,501 },{ 99,31,496 } },
{ { 122,95,4085 },{ 107,31,4080 },{ 122,95,501 },{ 107,31,496 } },
{ { 0,102,3840 },{ 0,102,3840 },{ 0,18,384 },{ 0,18,384 } },
{ { 5,167,3904 },{ 5,167,3904 },{ 0,13,256 },{ 0,13,256 } },
{ { 4,54,3968 },{ 4,54,3968 },{ 1,67,448 },{ 1,67,448 } },
{ { 30,198,3850 },{ 30,198,3848 },{ 0,3,480 },{ 0,3,480 } },
{ { 39,198,3850 },{ 39,198,3848 },{ 3,52,488 },{ 3,52,488 } },
{ { 47,198,3851 },{ 47,198,3848 },{ 3,4,488 },{ 3,4,488 } },
{ { 55,198,3851 },{ 55,198,3848 },{ 1,70,488 },{ 1,70,488 } },
{ { 54,167,3906 },{ 63,198,3848 },{ 3,22,488 },{ 3,22,488 } },
{ { 62,167,3906 },{ 72,198,3848 },{ 24,118,488 },{ 0,6,496 } },
{ { 70,167,3906 },{ 80,198,3848 },{ 32,118,488 },{ 2,89,488 } },
{ { 78,167,3906 },{ 88,198,3848 },{ 40,118,488 },{ 1,73,496 } },
{ { 86,167,3906 },{ 96,198,3848 },{ 48,118,488 },{ 0,28,424 } },
{ { 95,167,3906 },{ 105,198,3848 },{ 57,118,488 },{ 9,28,424 } },
{ { 103,167,3906 },{ 113,198,3848 },{ 65,118,488 },{ 5,108,496 } },
{ { 111,167,3906 },{ 121,198,3848 },{ 73,118,488 },{ 13,108,496 } },
{ { 119,167,3906 },{ 129,198,3848 },{ 81,118,488 },{ 21,108,496 } },
{ { 128,167,3906 },{ 138,198,3848 },{ 90,118,488 },{ 6,28,496 } },
{ { 136,167,3906 },{ 146,198,3848 },{ 98,118,488 },{ 14,28,496 } },
{ { 144,167,3906 },{ 154,198,3848 },{ 106,118,488 },{ 22,28,496 } },
{ { 152,167,3906 },{ 162,198,3848 },{ 114,118,488 },{ 30,28,496 } },
{ { 161,167,3906 },{ 171,198,3848 },{ 123,118,488 },{ 39,28,496 } },
{ { 169,167,3906 },{ 179,198,3848 },{ 131,118,488 },{ 47,28,496 } },
{ { 177,167,3906 },{ 187,198,3848 },{ 139,118,488 },{ 55,28,496 } },
{ { 185,167,3906 },{ 195,198,3848 },{ 147,118,488 },{ 63,28,496 } },
{ { 194,167,3906 },{ 120,12,4008 },{ 156,118,488 },{ 72,28,496 } },
{ { 206,198,3907 },{ 116,28,4008 },{ 164,118,488 },{ 80,28,496 } },
{ { 214,198,3907 },{ 124,28,4008 },{ 172,118,488 },{ 88,28,496 } },
{ { 222,198,3395 },{ 132,28,4008 },{ 180,118,488 },{ 96,28,496 } },
{ { 207,134,4001 },{ 141,28,4008 },{ 189,118,488 },{ 105,28,496 } },
{ { 95,30,4085 },{ 86,31,4080 },{ 95,30,501 },{ 86,31,496 } },
{ { 103,30,4085 },{ 94,31,4080 },{ 103,30,501 },{ 94,31,496 } },
{ { 111,30,4085 },{ 102,31,4080 },{ 111,30,501 },{ 102,31,496 } },
{ { 0,104,3840 },{ 0,104,3840 },{ 0,18,448 },{ 0,18,448 } },
{ { 4,39,3904 },{ 4,39,3904 },{ 0,4,384 },{ 0,4,384 } },
{ { 0,56,3968 },{ 0,56,3968 },{ 0,84,448 },{ 0,84,448 } },
{ { 6,110,3328 },{ 6,110,3328 },{ 0,20,448 },{ 0,20,448 } },
{ { 41,200,3850 },{ 41,200,3848 },{ 1,4,480 },{ 1,4,480 } },
{ { 49,200,3850 },{ 49,200,3848 },{ 1,8,416 },{ 1,8,416 } },
{ { 57,200,3851 },{ 57,200,3848 },{ 1,38,488 },{ 1,38,488 } },
{ { 65,200,3851 },{ 65,200,3848 },{ 1,120,488 },{ 1,120,488 } },
{ { 74,200,3851 },{ 74,200,3848 },{ 2,72,488 },{ 2,72,488 } },
{ { 69,6,3907 },{ 82,200,3848 },{ 2,24,488 },{ 2,24,488 } },
{ { 77,6,3907 },{ 90,200,3848 },{ 26,120,488 },{ 10,24,488 } },
{ { 97,63,3330 },{ 98,200,3848 },{ 34,120,488 },{ 2,8,496 } },
{ { 106,63,3330 },{ 107,200,3848 },{ 43,120,488 },{ 3,92,488 } },
{ { 114,63,3330 },{ 115,200,3848 },{ 51,120,488 },{ 11,92,488 } },
{ { 122,63,3330 },{ 123,200,3848 },{ 59,120,488 },{ 7,76,496 } },
{ { 130,63,3330 },{ 131,200,3848 },{ 67,120,488 },{ 15,76,496 } },
{ { 139,63,3330 },{ 140,200,3848 },{ 76,120,488 },{ 24,76,496 } },
{ { 147,63,3330 },{ 148,200,3848 },{ 84,120,488 },{ 32,76,496 } },
{ { 155,63,3330 },{ 156,200,3848 },{ 92,120,488 },{ 40,76,496 } },
{ { 163,63,3330 },{ 164,200,3848 },{ 100,120,488 },{ 48,76,496 } },
{ { 172,63,3330 },{ 173,200,3848 },{ 109,120,488 },{ 57,76,496 } },
{ { 184,6,3851 },{ 181,200,3848 },{ 117,120,488 },{ 65,76,496 } },
{ { 192,6,3851 },{ 133,28,3936 },{ 125,120,488 },{ 73,76,496 } },
{ { 189,200,3907 },{ 141,28,3936 },{ 133,120,488 },{ 81,76,496 } },
{ { 198,200,3907 },{ 138,108,4000 },{ 142,120,488 },{ 90,76,496 } },
{ { 206,200,3907 },{ 146,108,4000 },{ 150,120,488 },{ 98,76,496 } },
{ { 214,200,3395 },{ 154,108,4000 },{ 158,120,488 },{ 106,76,496 } },
{ { 190,136,4001 },{ 162,108,4000 },{ 166,120,488 },{ 114,76,496 } },
{ { 123,30,4076 },{ 87,15,4080 },{ 123,30,492 },{ 87,15,496 } },
{ { 117,110,4084 },{ 80,31,4080 },{ 117,110,500 },{ 80,31,496 } },
{ { 125,110,4084 },{ 88,31,4080 },{ 125,110,500 },{ 88,31,496 } },
{ { 133,110,4084 },{ 96,31,4080 },{ 133,110,500 },{ 96,31,496 } },
{ { 9,56,3904 },{ 9,56,3904 },{ 0,67,448 },{ 0,67,448 } },
{ { 1,8,3904 },{ 1,8,3904 },{ 1,84,448 },{ 1,84,448 } },
{ { 1,124,3904 },{ 1,124,3904 },{ 0,39,384 },{ 0,39,384 } },
{ { 9,124,3904 },{ 9,124,3904 },{ 1,4,448 },{ 1,4,448 } },
{ { 6,76,3904 },{ 6,76,3904 },{ 0,70,448 },{ 0,70,448 } },
{ { 62,6,3859 },{ 62,6,3856 },{ 2,38,480 },{ 2,38,480 } },
{ { 70,6,3859 },{ 70,6,3856 },{ 5,43,416 },{ 5,43,416 } },
{ { 78,6,3859 },{ 78,6,3856 },{ 2,11,416 },{ 2,11,416 } },
{ { 87,6,3859 },{ 87,6,3856 },{ 0,171,488 },{ 0,171,488 } },
{ { 67,8,3906 },{ 95,6,3856 },{ 8,171,488 },{ 8,171,488 } },
{ { 75,8,3907 },{ 103,6,3856 },{ 5,123,488 },{ 5,123,488 } },
{ { 83,8,3907 },{ 111,6,3856 },{ 2,75,488 },{ 2,75,488 } },
{ { 92,8,3907 },{ 120,6,3856 },{ 0,27,488 },{ 0,27,488 } },
{ { 100,8,3907 },{ 128,6,3856 },{ 8,27,488 },{ 8,27,488 } },
{ { 120,106,3843 },{ 136,6,3856 },{ 100,6,387 },{ 16,27,488 } },
{ { 128,106,3843 },{ 144,6,3856 },{ 108,6,387 },{ 2,11,496 } },
{ { 137,106,3843 },{ 153,6,3856 },{ 117,6,387 },{ 11,11,496 } },
{ { 145,106,3843 },{ 161,6,3856 },{ 125,6,387 },{ 19,11,496 } },
{ { 163,8,3851 },{ 137,43,3904 },{ 133,6,387 },{ 27,11,496 } },
{ { 171,8,3851 },{ 101,11,4000 },{ 141,6,387 },{ 35,11,496 } },
{ { 180,8,3851 },{ 110,11,4000 },{ 150,6,387 },{ 44,11,496 } },
{ { 188,8,3851 },{ 118,11,4000 },{ 158,6,387 },{ 52,11,496 } },
{ { 172,72,3907 },{ 126,11,4000 },{ 166,6,387 },{ 60,11,496 } },
{ { 174,6,3971 },{ 134,11,4000 },{ 174,6,387 },{ 68,11,496 } },
{ { 183,6,3971 },{ 143,11,4000 },{ 183,6,387 },{ 77,11,496 } },
{ { 191,6,3971 },{ 151,11,4000 },{ 191,6,387 },{ 85,11,496 } },
{ { 199,6,3971 },{ 159,11,4000 },{ 199,6,387 },{ 93,11,496 } },
{ { 92,12,4084 },{ 69,15,4080 },{ 92,12,500 },{ 69,15,496 } },
{ { 101,12,4084 },{ 78,15,4080 },{ 101,12,500 },{ 78,15,496 } },
{ { 109,12,4084 },{ 86,15,4080 },{ 109,12,500 },{ 86,15,496 } },
{ { 117,12,4084 },{ 79,31,4080 },{ 117,12,500 },{ 79,31,496 } },
{ { 125,12,4084 },{ 87,31,4080 },{ 125,12,500 },{ 87,31,496 } },
{ { 71,8,3602 },{ 71,8,3600 },{ 2,21,384 },{ 2,21,384 } },
{ { 79,8,3611 },{ 79,8,3608 },{ 0,69,448 },{ 0,69,448 } },
{ { 87,8,3611 },{ 87,8,3608 },{ 0,23,384 },{ 0,23,384 } },
{ { 95,8,3611 },{ 95,8,3608 },{ 1,5,448 },{ 1,5,448 } },
{ { 104,8,3611 },{ 104,8,3608 },{ 0,88,448 },{ 0,88,448 } },
{ { 112,8,3611 },{ 112,8,3608 },{ 0,72,448 },{ 0,72,448 } },
{ { 120,8,3611 },{ 121,8,3608 },{ 36,21,458 },{ 36,21,456 } },
{ { 133,47,3091 },{ 129,8,3608 },{ 44,21,458 },{ 44,21,456 } },
{ { 142,47,3091 },{ 138,8,3608 },{ 53,21,459 },{ 53,21,456 } },
{ { 98,12,3850 },{ 98,12,3848 },{ 61,21,459 },{ 61,21,456 } },
{ { 106,12,3850 },{ 106,12,3848 },{ 10,92,480 },{ 69,21,456 } },
{ { 114,12,3851 },{ 114,12,3848 },{ 18,92,480 },{ 77,21,456 } },
{ { 87,12,3906 },{ 87,12,3904 },{ 3,44,488 },{ 86,21,456 } },
{ { 95,12,3906 },{ 95,12,3904 },{ 11,44,488 },{ 94,21,456 } },
{ { 103,12,3906 },{ 103,12,3904 },{ 19,44,488 },{ 102,21,456 } },
{ { 111,12,3907 },{ 111,12,3904 },{ 27,44,489 },{ 110,21,456 } },
{ { 120,12,3907 },{ 120,12,3904 },{ 36,44,489 },{ 119,21,456 } },
{ { 128,12,3907 },{ 128,12,3904 },{ 44,44,489 },{ 127,21,456 } },
{ { 136,12,3907 },{ 136,12,3904 },{ 52,44,489 },{ 135,21,456 } },
{ { 144,12,3907 },{ 144,12,3904 },{ 60,44,489 },{ 143,21,456 } },
{ { 153,12,3907 },{ 153,12,3904 },{ 69,44,490 },{ 152,21,456 } },
{ { 161,12,3395 },{ 149,188,3968 },{ 77,44,490 },{ 160,21,456 } },
{ { 169,12,3395 },{ 198,21,3928 },{ 85,44,490 },{ 168,21,456 } },
{ { 113,95,4001 },{ 201,69,3992 },{ 125,8,483 },{ 176,21,456 } },
{ { 122,95,4001 },{ 200,21,3984 },{ 134,8,483 },{ 185,21,456 } },
{ { 142,8,4067 },{ 208,21,3984 },{ 142,8,483 },{ 193,21,456 } },
{ { 151,8,4067 },{ 47,15,4080 },{ 151,8,483 },{ 47,15,496 } },
{ { 159,8,4067 },{ 55,15,4080 },{ 159,8,483 },{ 55,15,496 } },
{ { 168,8,4067 },{ 64,15,4080 },{ 168,8,483 },{ 64,15,496 } },
{ { 160,40,4075 },{ 72,15,4080 },{ 160,40,491 },{ 72,15,496 } },
{ { 168,40,4075 },{ 80,15,4080 },{ 168,40,491 },{ 80,15,496 } },
{ { 144,8,4082 },{ 88,15,4080 },{ 144,8,498 },{ 88,15,496 } }
};
#endif // BASISD_SUPPORT_ETC2_EAC_A8
#if BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
static void create_etc2_eac_a8_conversion_table()
{
FILE* pFile = fopen("basisu_decoder_tables_etc2_eac_a8.inc", "w");
for (uint32_t inten = 0; inten < 8; inten++)
{
for (uint32_t base = 0; base < 32; base++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(base, base, base, 255), false), inten);
fprintf(pFile, "{");
for (uint32_t sel_range = 0; sel_range < NUM_ETC2_EAC_SELECTOR_RANGES; sel_range++)
{
const uint32_t low_selector = s_etc2_eac_selector_ranges[sel_range].m_low;
const uint32_t high_selector = s_etc2_eac_selector_ranges[sel_range].m_high;
// We have a ETC1 base color and intensity, and a used selector range from low_selector-high_selector.
// Now find the best ETC2 EAC A8 base/table/multiplier that fits these colors.
uint8_t pixels[4];
uint32_t num_pixels = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
pixels[num_pixels++] = block_colors[s].g;
pack_eac_a8_results pack_results;
pack_eac_a8_exhaustive(pack_results, pixels, num_pixels);
etc1_g_to_eac_conversion& c = s_etc1_g_to_etc2_a8[base + inten * 32][sel_range];
c.m_base = pack_results.m_base;
c.m_table_mul = pack_results.m_table * 16 + pack_results.m_multiplier;
c.m_trans = 0;
for (uint32_t s = 0; s < 4; s++)
{
if ((s < low_selector) || (s > high_selector))
continue;
uint32_t etc2_selector = pack_results.m_selectors[s - low_selector];
c.m_trans |= (etc2_selector << (s * 3));
}
fprintf(pFile, "{%u,%u,%u}", c.m_base, c.m_table_mul, c.m_trans);
if (sel_range < (NUM_ETC2_EAC_SELECTOR_RANGES - 1))
fprintf(pFile, ",");
}
fprintf(pFile, "},\n");
}
}
fclose(pFile);
}
#endif
#if BASISD_WRITE_NEW_ETC2_EAC_R11_TABLES
struct pack_eac_r11_results
{
uint32_t m_base;
uint32_t m_table;
uint32_t m_multiplier;
std::vector<uint8_t> m_selectors;
std::vector<uint8_t> m_selectors_temp;
};
static uint64_t pack_eac_r11_exhaustive(pack_eac_r11_results& results, const uint8_t* pPixels, uint32_t num_pixels)
{
results.m_selectors.resize(num_pixels);
results.m_selectors_temp.resize(num_pixels);
uint64_t best_err = UINT64_MAX;
for (uint32_t base_color = 0; base_color < 256; base_color++)
{
for (uint32_t multiplier = 0; multiplier < 16; multiplier++)
{
for (uint32_t table = 0; table < 16; table++)
{
uint64_t total_err = 0;
for (uint32_t i = 0; i < num_pixels; i++)
{
// Convert 8-bit input to 11-bits
const int a = (pPixels[i] * 2047 + 128) / 255;
uint32_t best_s_err = UINT32_MAX;
uint32_t best_s = 0;
for (uint32_t s = 0; s < 8; s++)
{
int v = (int)(multiplier ? (multiplier * 8) : 1) * g_eac_modifier_table[table][s] + (int)base_color * 8 + 4;
if (v < 0)
v = 0;
else if (v > 2047)
v = 2047;
uint32_t err = abs(a - v);
if (err < best_s_err)
{
best_s_err = err;
best_s = s;
}
}
results.m_selectors_temp[i] = static_cast<uint8_t>(best_s);
total_err += best_s_err * best_s_err;
if (total_err >= best_err)
break;
}
if (total_err < best_err)
{
best_err = total_err;
results.m_base = base_color;
results.m_multiplier = multiplier;
results.m_table = table;
results.m_selectors.swap(results.m_selectors_temp);
}
} // table
} // multiplier
} // base_color
return best_err;
}
static void create_etc2_eac_r11_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_decoder_tables_etc2_eac_r11.inc", "w");
for (uint32_t inten = 0; inten < 8; inten++)
{
for (uint32_t base = 0; base < 32; base++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(base, base, base, 255), false), inten);
fprintf(pFile, "{");
for (uint32_t sel_range = 0; sel_range < NUM_ETC2_EAC_SELECTOR_RANGES; sel_range++)
{
const uint32_t low_selector = s_etc2_eac_selector_ranges[sel_range].m_low;
const uint32_t high_selector = s_etc2_eac_selector_ranges[sel_range].m_high;
// We have a ETC1 base color and intensity, and a used selector range from low_selector-high_selector.
// Now find the best ETC2 EAC R11 base/table/multiplier that fits these colors.
uint8_t pixels[4];
uint32_t num_pixels = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
pixels[num_pixels++] = block_colors[s].g;
pack_eac_r11_results pack_results;
pack_eac_r11_exhaustive(pack_results, pixels, num_pixels);
etc1_g_to_eac_conversion c;
c.m_base = (uint8_t)pack_results.m_base;
c.m_table_mul = (uint8_t)(pack_results.m_table * 16 + pack_results.m_multiplier);
c.m_trans = 0;
for (uint32_t s = 0; s < 4; s++)
{
if ((s < low_selector) || (s > high_selector))
continue;
uint32_t etc2_selector = pack_results.m_selectors[s - low_selector];
c.m_trans |= (etc2_selector << (s * 3));
}
fprintf(pFile, "{%u,%u,%u}", c.m_base, c.m_table_mul, c.m_trans);
if (sel_range < (NUM_ETC2_EAC_SELECTOR_RANGES - 1))
fprintf(pFile, ",");
}
fprintf(pFile, "},\n");
}
}
fclose(pFile);
}
#endif // BASISD_WRITE_NEW_ETC2_EAC_R11_TABLES
#if BASISD_WRITE_NEW_ASTC_TABLES
static void create_etc1_to_astc_conversion_table_0_47();
static void create_etc1_to_astc_conversion_table_0_255();
#endif
#if BASISD_SUPPORT_ASTC
static void transcoder_init_astc();
#endif
#if BASISD_WRITE_NEW_BC7_MODE5_TABLES
static void create_etc1_to_bc7_m5_color_conversion_table();
static void create_etc1_to_bc7_m5_alpha_conversion_table();
#endif
#if BASISD_SUPPORT_BC7_MODE5
static void transcoder_init_bc7_mode5();
#endif
#if BASISD_WRITE_NEW_ATC_TABLES
static void create_etc1s_to_atc_conversion_tables();
#endif
#if BASISD_SUPPORT_ATC
static void transcoder_init_atc();
#endif
#if BASISD_SUPPORT_PVRTC2
static void transcoder_init_pvrtc2();
#endif
#if BASISD_SUPPORT_UASTC
void uastc_init();
#endif
// Library global initialization. Requires ~9 milliseconds when compiled and executed natively on a Core i7 2.2 GHz.
// If this is too slow, these computed tables can easilky be moved to be compiled in.
void basisu_transcoder_init()
{
static bool s_initialized;
if (s_initialized)
{
BASISU_DEVEL_ERROR("basisu_transcoder::basisu_transcoder_init: Called more than once\n");
return;
}
BASISU_DEVEL_ERROR("basisu_transcoder::basisu_transcoder_init: Initializing (this is not an error)\n");
#if BASISD_SUPPORT_UASTC
uastc_init();
#endif
#if BASISD_SUPPORT_ASTC
transcoder_init_astc();
#endif
#if BASISD_WRITE_NEW_ASTC_TABLES
create_etc1_to_astc_conversion_table_0_47();
create_etc1_to_astc_conversion_table_0_255();
exit(0);
#endif
#if BASISD_WRITE_NEW_BC7_MODE5_TABLES
create_etc1_to_bc7_m5_color_conversion_table();
create_etc1_to_bc7_m5_alpha_conversion_table();
exit(0);
#endif
#if BASISD_WRITE_NEW_DXT1_TABLES
create_etc1_to_dxt1_5_conversion_table();
create_etc1_to_dxt1_6_conversion_table();
exit(0);
#endif
#if BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
create_etc2_eac_a8_conversion_table();
exit(0);
#endif
#if BASISD_WRITE_NEW_ATC_TABLES
create_etc1s_to_atc_conversion_tables();
exit(0);
#endif
#if BASISD_WRITE_NEW_ETC2_EAC_R11_TABLES
create_etc2_eac_r11_conversion_table();
exit(0);
#endif
#if BASISD_SUPPORT_DXT1 || BASISD_SUPPORT_UASTC
uint8_t bc1_expand5[32];
for (int i = 0; i < 32; i++)
bc1_expand5[i] = static_cast<uint8_t>((i << 3) | (i >> 2));
prepare_bc1_single_color_table(g_bc1_match5_equals_1, bc1_expand5, 32, 32, 1);
prepare_bc1_single_color_table(g_bc1_match5_equals_0, bc1_expand5, 1, 32, 0);
uint8_t bc1_expand6[64];
for (int i = 0; i < 64; i++)
bc1_expand6[i] = static_cast<uint8_t>((i << 2) | (i >> 4));
prepare_bc1_single_color_table(g_bc1_match6_equals_1, bc1_expand6, 64, 64, 1);
prepare_bc1_single_color_table(g_bc1_match6_equals_0, bc1_expand6, 1, 64, 0);
#if 0
for (uint32_t i = 0; i < 256; i++)
{
printf("%u %u %u\n", i, (i * 63 + 127) / 255, g_bc1_match6_equals_0[i].m_hi);
}
exit(0);
#endif
#endif
#if BASISD_SUPPORT_DXT1
for (uint32_t i = 0; i < NUM_ETC1_TO_DXT1_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1_to_dxt1_selector_ranges[i].m_low;
uint32_t h = g_etc1_to_dxt1_selector_ranges[i].m_high;
g_etc1_to_dxt1_selector_range_index[l][h] = i;
}
for (uint32_t sm = 0; sm < NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS; sm++)
{
uint8_t etc1_to_dxt1_selector_mappings_raw_dxt1[4];
uint8_t etc1_to_dxt1_selector_mappings_raw_dxt1_inv[4];
for (uint32_t j = 0; j < 4; j++)
{
static const uint8_t s_linear_dxt1_to_dxt1[4] = { 0, 2, 3, 1 };
static const uint8_t s_dxt1_inverted_xlat[4] = { 1, 0, 3, 2 };
etc1_to_dxt1_selector_mappings_raw_dxt1[j] = (uint8_t)s_linear_dxt1_to_dxt1[g_etc1_to_dxt1_selector_mappings[sm][j]];
etc1_to_dxt1_selector_mappings_raw_dxt1_inv[j] = (uint8_t)s_dxt1_inverted_xlat[etc1_to_dxt1_selector_mappings_raw_dxt1[j]];
}
for (uint32_t i = 0; i < 256; i++)
{
uint32_t k = 0, k_inv = 0;
for (uint32_t s = 0; s < 4; s++)
{
k |= (etc1_to_dxt1_selector_mappings_raw_dxt1[(i >> (s * 2)) & 3] << (s * 2));
k_inv |= (etc1_to_dxt1_selector_mappings_raw_dxt1_inv[(i >> (s * 2)) & 3] << (s * 2));
}
g_etc1_to_dxt1_selector_mappings_raw_dxt1_256[sm][i] = (uint8_t)k;
g_etc1_to_dxt1_selector_mappings_raw_dxt1_inv_256[sm][i] = (uint8_t)k_inv;
}
}
#endif
#if BASISD_SUPPORT_BC7_MODE5
transcoder_init_bc7_mode5();
#endif
#if BASISD_SUPPORT_ATC
transcoder_init_atc();
#endif
#if BASISD_SUPPORT_PVRTC2
transcoder_init_pvrtc2();
#endif
s_initialized = true;
}
#if BASISD_SUPPORT_DXT1
static void convert_etc1s_to_dxt1(dxt1_block* pDst_block, const endpoint *pEndpoints, const selector* pSelector, bool use_threecolor_blocks)
{
#if !BASISD_WRITE_NEW_DXT1_TABLES
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
uint32_t mask = 0xAA;
uint32_t max16 = (g_bc1_match5_equals_1[r].m_hi << 11) | (g_bc1_match6_equals_1[g].m_hi << 5) | g_bc1_match5_equals_1[b].m_hi;
uint32_t min16 = (g_bc1_match5_equals_1[r].m_lo << 11) | (g_bc1_match6_equals_1[g].m_lo << 5) | g_bc1_match5_equals_1[b].m_lo;
if ((!use_threecolor_blocks) && (min16 == max16))
{
// This is an annoying edge case that impacts BC3.
// This is to guarantee that BC3 blocks never use punchthrough alpha (3 color) mode, which isn't supported on some (all?) GPU's.
mask = 0;
// Make l > h
if (min16 > 0)
min16--;
else
{
// l = h = 0
assert(min16 == max16 && max16 == 0);
max16 = 1;
min16 = 0;
mask = 0x55;
}
assert(max16 > min16);
}
if (max16 < min16)
{
std::swap(max16, min16);
mask ^= 0x55;
}
pDst_block->set_low_color(static_cast<uint16_t>(max16));
pDst_block->set_high_color(static_cast<uint16_t>(min16));
pDst_block->m_selectors[0] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[1] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[2] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[3] = static_cast<uint8_t>(mask);
return;
}
else if ((inten_table >= 7) && (pSelector->m_num_unique_selectors == 2) && (pSelector->m_lo_selector == 0) && (pSelector->m_hi_selector == 3))
{
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[0].r;
const uint32_t g0 = block_colors[0].g;
const uint32_t b0 = block_colors[0].b;
const uint32_t r1 = block_colors[3].r;
const uint32_t g1 = block_colors[3].g;
const uint32_t b1 = block_colors[3].b;
uint32_t max16 = (g_bc1_match5_equals_0[r0].m_hi << 11) | (g_bc1_match6_equals_0[g0].m_hi << 5) | g_bc1_match5_equals_0[b0].m_hi;
uint32_t min16 = (g_bc1_match5_equals_0[r1].m_hi << 11) | (g_bc1_match6_equals_0[g1].m_hi << 5) | g_bc1_match5_equals_0[b1].m_hi;
uint32_t l = 0, h = 1;
if (min16 == max16)
{
// Make l > h
if (min16 > 0)
{
min16--;
l = 0;
h = 0;
}
else
{
// l = h = 0
assert(min16 == max16 && max16 == 0);
max16 = 1;
min16 = 0;
l = 1;
h = 1;
}
assert(max16 > min16);
}
if (max16 < min16)
{
std::swap(max16, min16);
l = 1;
h = 0;
}
pDst_block->set_low_color((uint16_t)max16);
pDst_block->set_high_color((uint16_t)min16);
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
pDst_block->set_selector(x, y, (s == 3) ? h : l);
}
}
return;
}
const uint32_t selector_range_table = g_etc1_to_dxt1_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_dxt1_56_solution* pTable_r = &g_etc1_to_dxt_5[(inten_table * 32 + base_color.r) * (NUM_ETC1_TO_DXT1_SELECTOR_RANGES * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS];
const etc1_to_dxt1_56_solution* pTable_g = &g_etc1_to_dxt_6[(inten_table * 32 + base_color.g) * (NUM_ETC1_TO_DXT1_SELECTOR_RANGES * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS];
const etc1_to_dxt1_56_solution* pTable_b = &g_etc1_to_dxt_5[(inten_table * 32 + base_color.b) * (NUM_ETC1_TO_DXT1_SELECTOR_RANGES * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
uint32_t l = dxt1_block::pack_unscaled_color(pTable_r[best_mapping].m_lo, pTable_g[best_mapping].m_lo, pTable_b[best_mapping].m_lo);
uint32_t h = dxt1_block::pack_unscaled_color(pTable_r[best_mapping].m_hi, pTable_g[best_mapping].m_hi, pTable_b[best_mapping].m_hi);
const uint8_t* pSelectors_xlat_256 = &g_etc1_to_dxt1_selector_mappings_raw_dxt1_256[best_mapping][0];
if (l < h)
{
std::swap(l, h);
pSelectors_xlat_256 = &g_etc1_to_dxt1_selector_mappings_raw_dxt1_inv_256[best_mapping][0];
}
pDst_block->set_low_color(static_cast<uint16_t>(l));
pDst_block->set_high_color(static_cast<uint16_t>(h));
if (l == h)
{
uint8_t mask = 0;
if (!use_threecolor_blocks)
{
// This is an annoying edge case that impacts BC3.
// Make l > h
if (h > 0)
h--;
else
{
// l = h = 0
assert(l == h && h == 0);
h = 0;
l = 1;
mask = 0x55;
}
assert(l > h);
pDst_block->set_low_color(static_cast<uint16_t>(l));
pDst_block->set_high_color(static_cast<uint16_t>(h));
}
pDst_block->m_selectors[0] = mask;
pDst_block->m_selectors[1] = mask;
pDst_block->m_selectors[2] = mask;
pDst_block->m_selectors[3] = mask;
return;
}
pDst_block->m_selectors[0] = pSelectors_xlat_256[pSelector->m_selectors[0]];
pDst_block->m_selectors[1] = pSelectors_xlat_256[pSelector->m_selectors[1]];
pDst_block->m_selectors[2] = pSelectors_xlat_256[pSelector->m_selectors[2]];
pDst_block->m_selectors[3] = pSelectors_xlat_256[pSelector->m_selectors[3]];
#endif
}
#if BASISD_ENABLE_DEBUG_FLAGS
static void convert_etc1s_to_dxt1_vis(dxt1_block* pDst_block, const endpoint* pEndpoints, const selector* pSelector, bool use_threecolor_blocks)
{
convert_etc1s_to_dxt1(pDst_block, pEndpoints, pSelector, use_threecolor_blocks);
if (g_debug_flags & cDebugFlagVisBC1Sels)
{
uint32_t l = dxt1_block::pack_unscaled_color(31, 63, 31);
uint32_t h = dxt1_block::pack_unscaled_color(0, 0, 0);
pDst_block->set_low_color(static_cast<uint16_t>(l));
pDst_block->set_high_color(static_cast<uint16_t>(h));
}
else if (g_debug_flags & cDebugFlagVisBC1Endpoints)
{
for (uint32_t y = 0; y < 4; y++)
for (uint32_t x = 0; x < 4; x++)
pDst_block->set_selector(x, y, (y < 2) ? 0 : 1);
}
}
#endif
#endif
#if BASISD_SUPPORT_FXT1
struct fxt1_block
{
union
{
struct
{
uint64_t m_t00 : 2;
uint64_t m_t01 : 2;
uint64_t m_t02 : 2;
uint64_t m_t03 : 2;
uint64_t m_t04 : 2;
uint64_t m_t05 : 2;
uint64_t m_t06 : 2;
uint64_t m_t07 : 2;
uint64_t m_t08 : 2;
uint64_t m_t09 : 2;
uint64_t m_t10 : 2;
uint64_t m_t11 : 2;
uint64_t m_t12 : 2;
uint64_t m_t13 : 2;
uint64_t m_t14 : 2;
uint64_t m_t15 : 2;
uint64_t m_t16 : 2;
uint64_t m_t17 : 2;
uint64_t m_t18 : 2;
uint64_t m_t19 : 2;
uint64_t m_t20 : 2;
uint64_t m_t21 : 2;
uint64_t m_t22 : 2;
uint64_t m_t23 : 2;
uint64_t m_t24 : 2;
uint64_t m_t25 : 2;
uint64_t m_t26 : 2;
uint64_t m_t27 : 2;
uint64_t m_t28 : 2;
uint64_t m_t29 : 2;
uint64_t m_t30 : 2;
uint64_t m_t31 : 2;
} m_lo;
uint64_t m_lo_bits;
uint8_t m_sels[8];
};
union
{
struct
{
#ifdef BASISU_USE_ORIGINAL_3DFX_FXT1_ENCODING
uint64_t m_b1 : 5;
uint64_t m_g1 : 5;
uint64_t m_r1 : 5;
uint64_t m_b0 : 5;
uint64_t m_g0 : 5;
uint64_t m_r0 : 5;
uint64_t m_b3 : 5;
uint64_t m_g3 : 5;
uint64_t m_r3 : 5;
uint64_t m_b2 : 5;
uint64_t m_g2 : 5;
uint64_t m_r2 : 5;
#else
uint64_t m_b0 : 5;
uint64_t m_g0 : 5;
uint64_t m_r0 : 5;
uint64_t m_b1 : 5;
uint64_t m_g1 : 5;
uint64_t m_r1 : 5;
uint64_t m_b2 : 5;
uint64_t m_g2 : 5;
uint64_t m_r2 : 5;
uint64_t m_b3 : 5;
uint64_t m_g3 : 5;
uint64_t m_r3 : 5;
#endif
uint64_t m_alpha : 1;
uint64_t m_glsb : 2;
uint64_t m_mode : 1;
} m_hi;
uint64_t m_hi_bits;
};
};
static uint8_t conv_dxt1_to_fxt1_sels(uint32_t sels)
{
static uint8_t s_conv_table[16] = { 0, 3, 1, 2, 12, 15, 13, 14, 4, 7, 5, 6, 8, 11, 9, 10 };
return s_conv_table[sels & 15] | (s_conv_table[sels >> 4] << 4);
}
static void convert_etc1s_to_fxt1(void *pDst, const endpoint *pEndpoints, const selector *pSelectors, uint32_t fxt1_subblock)
{
fxt1_block* pBlock = static_cast<fxt1_block*>(pDst);
// CC_MIXED is basically DXT1 with different encoding tricks.
// So transcode ETC1S to DXT1, then transcode that to FXT1 which is easy and nearly lossless.
// (It's not completely lossless because FXT1 rounds in its color lerps while DXT1 doesn't, but it should be good enough.)
dxt1_block blk;
convert_etc1s_to_dxt1(&blk, pEndpoints, pSelectors, false);
const uint32_t l = blk.get_low_color();
const uint32_t h = blk.get_high_color();
color32 color0((l >> 11) & 31, (l >> 5) & 63, l & 31, 255);
color32 color1((h >> 11) & 31, (h >> 5) & 63, h & 31, 255);
uint32_t g0 = color0.g & 1;
uint32_t g1 = color1.g & 1;
color0.g >>= 1;
color1.g >>= 1;
blk.m_selectors[0] = conv_dxt1_to_fxt1_sels(blk.m_selectors[0]);
blk.m_selectors[1] = conv_dxt1_to_fxt1_sels(blk.m_selectors[1]);
blk.m_selectors[2] = conv_dxt1_to_fxt1_sels(blk.m_selectors[2]);
blk.m_selectors[3] = conv_dxt1_to_fxt1_sels(blk.m_selectors[3]);
if ((blk.get_selector(0, 0) >> 1) != (g0 ^ g1))
{
std::swap(color0, color1);
std::swap(g0, g1);
blk.m_selectors[0] ^= 0xFF;
blk.m_selectors[1] ^= 0xFF;
blk.m_selectors[2] ^= 0xFF;
blk.m_selectors[3] ^= 0xFF;
}
if (fxt1_subblock == 0)
{
pBlock->m_hi.m_mode = 1;
pBlock->m_hi.m_alpha = 0;
pBlock->m_hi.m_glsb = g1 | (g1 << 1);
pBlock->m_hi.m_r0 = color0.r;
pBlock->m_hi.m_g0 = color0.g;
pBlock->m_hi.m_b0 = color0.b;
pBlock->m_hi.m_r1 = color1.r;
pBlock->m_hi.m_g1 = color1.g;
pBlock->m_hi.m_b1 = color1.b;
pBlock->m_hi.m_r2 = color0.r;
pBlock->m_hi.m_g2 = color0.g;
pBlock->m_hi.m_b2 = color0.b;
pBlock->m_hi.m_r3 = color1.r;
pBlock->m_hi.m_g3 = color1.g;
pBlock->m_hi.m_b3 = color1.b;
pBlock->m_sels[0] = blk.m_selectors[0];
pBlock->m_sels[1] = blk.m_selectors[1];
pBlock->m_sels[2] = blk.m_selectors[2];
pBlock->m_sels[3] = blk.m_selectors[3];
static const uint8_t s_border_dup[4] = { 0, 85, 170, 255 };
pBlock->m_sels[4] = s_border_dup[blk.m_selectors[0] >> 6];
pBlock->m_sels[5] = s_border_dup[blk.m_selectors[1] >> 6];
pBlock->m_sels[6] = s_border_dup[blk.m_selectors[2] >> 6];
pBlock->m_sels[7] = s_border_dup[blk.m_selectors[3] >> 6];
}
else
{
pBlock->m_hi.m_glsb = (pBlock->m_hi.m_glsb & 1) | (g1 << 1);
pBlock->m_hi.m_r2 = color0.r;
pBlock->m_hi.m_g2 = color0.g;
pBlock->m_hi.m_b2 = color0.b;
pBlock->m_hi.m_r3 = color1.r;
pBlock->m_hi.m_g3 = color1.g;
pBlock->m_hi.m_b3 = color1.b;
pBlock->m_sels[4] = blk.m_selectors[0];
pBlock->m_sels[5] = blk.m_selectors[1];
pBlock->m_sels[6] = blk.m_selectors[2];
pBlock->m_sels[7] = blk.m_selectors[3];
}
}
#endif // BASISD_SUPPORT_FXT1
#if BASISD_SUPPORT_DXT5A
static dxt_selector_range s_dxt5a_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
};
const uint32_t NUM_DXT5A_SELECTOR_RANGES = sizeof(s_dxt5a_selector_ranges) / sizeof(s_dxt5a_selector_ranges[0]);
struct etc1_g_to_dxt5a_conversion
{
uint8_t m_lo, m_hi;
uint16_t m_trans;
};
static etc1_g_to_dxt5a_conversion g_etc1_g_to_dxt5a[32 * 8][NUM_DXT5A_SELECTOR_RANGES] =
{
{ { 8, 0, 393 },{ 8, 0, 392 },{ 2, 0, 9 },{ 2, 0, 8 }, }, { { 6, 16, 710 },{ 16, 6, 328 },{ 0, 10, 96 },{ 10, 6, 8 }, },
{ { 28, 5, 1327 },{ 24, 14, 328 },{ 8, 18, 96 },{ 18, 14, 8 }, }, { { 36, 13, 1327 },{ 32, 22, 328 },{ 16, 26, 96 },{ 26, 22, 8 }, },
{ { 45, 22, 1327 },{ 41, 31, 328 },{ 25, 35, 96 },{ 35, 31, 8 }, }, { { 53, 30, 1327 },{ 49, 39, 328 },{ 33, 43, 96 },{ 43, 39, 8 }, },
{ { 61, 38, 1327 },{ 57, 47, 328 },{ 41, 51, 96 },{ 51, 47, 8 }, }, { { 69, 46, 1327 },{ 65, 55, 328 },{ 49, 59, 96 },{ 59, 55, 8 }, },
{ { 78, 55, 1327 },{ 74, 64, 328 },{ 58, 68, 96 },{ 68, 64, 8 }, }, { { 86, 63, 1327 },{ 82, 72, 328 },{ 66, 76, 96 },{ 76, 72, 8 }, },
{ { 94, 71, 1327 },{ 90, 80, 328 },{ 74, 84, 96 },{ 84, 80, 8 }, }, { { 102, 79, 1327 },{ 98, 88, 328 },{ 82, 92, 96 },{ 92, 88, 8 }, },
{ { 111, 88, 1327 },{ 107, 97, 328 },{ 91, 101, 96 },{ 101, 97, 8 }, }, { { 119, 96, 1327 },{ 115, 105, 328 },{ 99, 109, 96 },{ 109, 105, 8 }, },
{ { 127, 104, 1327 },{ 123, 113, 328 },{ 107, 117, 96 },{ 117, 113, 8 }, }, { { 135, 112, 1327 },{ 131, 121, 328 },{ 115, 125, 96 },{ 125, 121, 8 }, },
{ { 144, 121, 1327 },{ 140, 130, 328 },{ 124, 134, 96 },{ 134, 130, 8 }, }, { { 152, 129, 1327 },{ 148, 138, 328 },{ 132, 142, 96 },{ 142, 138, 8 }, },
{ { 160, 137, 1327 },{ 156, 146, 328 },{ 140, 150, 96 },{ 150, 146, 8 }, }, { { 168, 145, 1327 },{ 164, 154, 328 },{ 148, 158, 96 },{ 158, 154, 8 }, },
{ { 177, 154, 1327 },{ 173, 163, 328 },{ 157, 167, 96 },{ 167, 163, 8 }, }, { { 185, 162, 1327 },{ 181, 171, 328 },{ 165, 175, 96 },{ 175, 171, 8 }, },
{ { 193, 170, 1327 },{ 189, 179, 328 },{ 173, 183, 96 },{ 183, 179, 8 }, }, { { 201, 178, 1327 },{ 197, 187, 328 },{ 181, 191, 96 },{ 191, 187, 8 }, },
{ { 210, 187, 1327 },{ 206, 196, 328 },{ 190, 200, 96 },{ 200, 196, 8 }, }, { { 218, 195, 1327 },{ 214, 204, 328 },{ 198, 208, 96 },{ 208, 204, 8 }, },
{ { 226, 203, 1327 },{ 222, 212, 328 },{ 206, 216, 96 },{ 216, 212, 8 }, }, { { 234, 211, 1327 },{ 230, 220, 328 },{ 214, 224, 96 },{ 224, 220, 8 }, },
{ { 243, 220, 1327 },{ 239, 229, 328 },{ 223, 233, 96 },{ 233, 229, 8 }, }, { { 251, 228, 1327 },{ 247, 237, 328 },{ 231, 241, 96 },{ 241, 237, 8 }, },
{ { 239, 249, 3680 },{ 245, 249, 3648 },{ 239, 249, 96 },{ 249, 245, 8 }, }, { { 247, 253, 4040 },{ 255, 253, 8 },{ 247, 253, 456 },{ 255, 253, 8 }, },
{ { 5, 17, 566 },{ 5, 17, 560 },{ 5, 0, 9 },{ 5, 0, 8 }, }, { { 25, 0, 313 },{ 25, 3, 328 },{ 13, 0, 49 },{ 13, 3, 8 }, },
{ { 39, 0, 1329 },{ 33, 11, 328 },{ 11, 21, 70 },{ 21, 11, 8 }, }, { { 47, 7, 1329 },{ 41, 19, 328 },{ 29, 7, 33 },{ 29, 19, 8 }, },
{ { 50, 11, 239 },{ 50, 28, 328 },{ 38, 16, 33 },{ 38, 28, 8 }, }, { { 92, 13, 2423 },{ 58, 36, 328 },{ 46, 24, 33 },{ 46, 36, 8 }, },
{ { 100, 21, 2423 },{ 66, 44, 328 },{ 54, 32, 33 },{ 54, 44, 8 }, }, { { 86, 7, 1253 },{ 74, 52, 328 },{ 62, 40, 33 },{ 62, 52, 8 }, },
{ { 95, 16, 1253 },{ 83, 61, 328 },{ 71, 49, 33 },{ 71, 61, 8 }, }, { { 103, 24, 1253 },{ 91, 69, 328 },{ 79, 57, 33 },{ 79, 69, 8 }, },
{ { 111, 32, 1253 },{ 99, 77, 328 },{ 87, 65, 33 },{ 87, 77, 8 }, }, { { 119, 40, 1253 },{ 107, 85, 328 },{ 95, 73, 33 },{ 95, 85, 8 }, },
{ { 128, 49, 1253 },{ 116, 94, 328 },{ 104, 82, 33 },{ 104, 94, 8 }, }, { { 136, 57, 1253 },{ 124, 102, 328 },{ 112, 90, 33 },{ 112, 102, 8 }, },
{ { 144, 65, 1253 },{ 132, 110, 328 },{ 120, 98, 33 },{ 120, 110, 8 }, }, { { 152, 73, 1253 },{ 140, 118, 328 },{ 128, 106, 33 },{ 128, 118, 8 }, },
{ { 161, 82, 1253 },{ 149, 127, 328 },{ 137, 115, 33 },{ 137, 127, 8 }, }, { { 169, 90, 1253 },{ 157, 135, 328 },{ 145, 123, 33 },{ 145, 135, 8 }, },
{ { 177, 98, 1253 },{ 165, 143, 328 },{ 153, 131, 33 },{ 153, 143, 8 }, }, { { 185, 106, 1253 },{ 173, 151, 328 },{ 161, 139, 33 },{ 161, 151, 8 }, },
{ { 194, 115, 1253 },{ 182, 160, 328 },{ 170, 148, 33 },{ 170, 160, 8 }, }, { { 202, 123, 1253 },{ 190, 168, 328 },{ 178, 156, 33 },{ 178, 168, 8 }, },
{ { 210, 131, 1253 },{ 198, 176, 328 },{ 186, 164, 33 },{ 186, 176, 8 }, }, { { 218, 139, 1253 },{ 206, 184, 328 },{ 194, 172, 33 },{ 194, 184, 8 }, },
{ { 227, 148, 1253 },{ 215, 193, 328 },{ 203, 181, 33 },{ 203, 193, 8 }, }, { { 235, 156, 1253 },{ 223, 201, 328 },{ 211, 189, 33 },{ 211, 201, 8 }, },
{ { 243, 164, 1253 },{ 231, 209, 328 },{ 219, 197, 33 },{ 219, 209, 8 }, }, { { 183, 239, 867 },{ 239, 217, 328 },{ 227, 205, 33 },{ 227, 217, 8 }, },
{ { 254, 214, 1329 },{ 248, 226, 328 },{ 236, 214, 33 },{ 236, 226, 8 }, }, { { 222, 244, 3680 },{ 234, 244, 3648 },{ 244, 222, 33 },{ 244, 234, 8 }, },
{ { 230, 252, 3680 },{ 242, 252, 3648 },{ 252, 230, 33 },{ 252, 242, 8 }, }, { { 238, 250, 4040 },{ 255, 250, 8 },{ 238, 250, 456 },{ 255, 250, 8 }, },
{ { 9, 29, 566 },{ 9, 29, 560 },{ 9, 0, 9 },{ 9, 0, 8 }, }, { { 17, 37, 566 },{ 17, 37, 560 },{ 17, 0, 9 },{ 17, 0, 8 }, },
{ { 45, 0, 313 },{ 45, 0, 312 },{ 25, 0, 49 },{ 25, 7, 8 }, }, { { 14, 63, 2758 },{ 5, 53, 784 },{ 15, 33, 70 },{ 33, 15, 8 }, },
{ { 71, 6, 1329 },{ 72, 4, 1328 },{ 42, 4, 33 },{ 42, 24, 8 }, }, { { 70, 3, 239 },{ 70, 2, 232 },{ 50, 12, 33 },{ 50, 32, 8 }, },
{ { 0, 98, 2842 },{ 78, 10, 232 },{ 58, 20, 33 },{ 58, 40, 8 }, }, { { 97, 27, 1329 },{ 86, 18, 232 },{ 66, 28, 33 },{ 66, 48, 8 }, },
{ { 0, 94, 867 },{ 95, 27, 232 },{ 75, 37, 33 },{ 75, 57, 8 }, }, { { 8, 102, 867 },{ 103, 35, 232 },{ 83, 45, 33 },{ 83, 65, 8 }, },
{ { 12, 112, 867 },{ 111, 43, 232 },{ 91, 53, 33 },{ 91, 73, 8 }, }, { { 139, 2, 1253 },{ 119, 51, 232 },{ 99, 61, 33 },{ 99, 81, 8 }, },
{ { 148, 13, 1253 },{ 128, 60, 232 },{ 108, 70, 33 },{ 108, 90, 8 }, }, { { 156, 21, 1253 },{ 136, 68, 232 },{ 116, 78, 33 },{ 116, 98, 8 }, },
{ { 164, 29, 1253 },{ 144, 76, 232 },{ 124, 86, 33 },{ 124, 106, 8 }, }, { { 172, 37, 1253 },{ 152, 84, 232 },{ 132, 94, 33 },{ 132, 114, 8 }, },
{ { 181, 46, 1253 },{ 161, 93, 232 },{ 141, 103, 33 },{ 141, 123, 8 }, }, { { 189, 54, 1253 },{ 169, 101, 232 },{ 149, 111, 33 },{ 149, 131, 8 }, },
{ { 197, 62, 1253 },{ 177, 109, 232 },{ 157, 119, 33 },{ 157, 139, 8 }, }, { { 205, 70, 1253 },{ 185, 117, 232 },{ 165, 127, 33 },{ 165, 147, 8 }, },
{ { 214, 79, 1253 },{ 194, 126, 232 },{ 174, 136, 33 },{ 174, 156, 8 }, }, { { 222, 87, 1253 },{ 202, 134, 232 },{ 182, 144, 33 },{ 182, 164, 8 }, },
{ { 230, 95, 1253 },{ 210, 142, 232 },{ 190, 152, 33 },{ 190, 172, 8 }, }, { { 238, 103, 1253 },{ 218, 150, 232 },{ 198, 160, 33 },{ 198, 180, 8 }, },
{ { 247, 112, 1253 },{ 227, 159, 232 },{ 207, 169, 33 },{ 207, 189, 8 }, }, { { 255, 120, 1253 },{ 235, 167, 232 },{ 215, 177, 33 },{ 215, 197, 8 }, },
{ { 146, 243, 867 },{ 243, 175, 232 },{ 223, 185, 33 },{ 223, 205, 8 }, }, { { 184, 231, 3682 },{ 203, 251, 784 },{ 231, 193, 33 },{ 231, 213, 8 }, },
{ { 193, 240, 3682 },{ 222, 240, 3648 },{ 240, 202, 33 },{ 240, 222, 8 }, }, { { 255, 210, 169 },{ 230, 248, 3648 },{ 248, 210, 33 },{ 248, 230, 8 }, },
{ { 218, 238, 4040 },{ 255, 238, 8 },{ 218, 238, 456 },{ 255, 238, 8 }, }, { { 226, 246, 4040 },{ 255, 246, 8 },{ 226, 246, 456 },{ 255, 246, 8 }, },
{ { 13, 42, 566 },{ 13, 42, 560 },{ 13, 0, 9 },{ 13, 0, 8 }, }, { { 50, 0, 329 },{ 50, 0, 328 },{ 21, 0, 9 },{ 21, 0, 8 }, },
{ { 29, 58, 566 },{ 67, 2, 1352 },{ 3, 29, 70 },{ 29, 3, 8 }, }, { { 10, 79, 2758 },{ 76, 11, 1352 },{ 11, 37, 70 },{ 37, 11, 8 }, },
{ { 7, 75, 790 },{ 7, 75, 784 },{ 20, 46, 70 },{ 46, 20, 8 }, }, { { 15, 83, 790 },{ 97, 1, 1328 },{ 28, 54, 70 },{ 54, 28, 8 }, },
{ { 101, 7, 1329 },{ 105, 9, 1328 },{ 62, 0, 39 },{ 62, 36, 8 }, }, { { 99, 1, 239 },{ 99, 3, 232 },{ 1, 71, 98 },{ 70, 44, 8 }, },
{ { 107, 11, 239 },{ 108, 12, 232 },{ 10, 80, 98 },{ 79, 53, 8 }, }, { { 115, 19, 239 },{ 116, 20, 232 },{ 18, 88, 98 },{ 87, 61, 8 }, },
{ { 123, 27, 239 },{ 124, 28, 232 },{ 26, 96, 98 },{ 95, 69, 8 }, }, { { 131, 35, 239 },{ 132, 36, 232 },{ 34, 104, 98 },{ 103, 77, 8 }, },
{ { 140, 44, 239 },{ 141, 45, 232 },{ 43, 113, 98 },{ 112, 86, 8 }, }, { { 148, 52, 239 },{ 149, 53, 232 },{ 51, 121, 98 },{ 120, 94, 8 }, },
{ { 156, 60, 239 },{ 157, 61, 232 },{ 59, 129, 98 },{ 128, 102, 8 }, }, { { 164, 68, 239 },{ 165, 69, 232 },{ 67, 137, 98 },{ 136, 110, 8 }, },
{ { 173, 77, 239 },{ 174, 78, 232 },{ 76, 146, 98 },{ 145, 119, 8 }, }, { { 181, 85, 239 },{ 182, 86, 232 },{ 84, 154, 98 },{ 153, 127, 8 }, },
{ { 189, 93, 239 },{ 190, 94, 232 },{ 92, 162, 98 },{ 161, 135, 8 }, }, { { 197, 101, 239 },{ 198, 102, 232 },{ 100, 170, 98 },{ 169, 143, 8 }, },
{ { 206, 110, 239 },{ 207, 111, 232 },{ 109, 179, 98 },{ 178, 152, 8 }, }, { { 214, 118, 239 },{ 215, 119, 232 },{ 117, 187, 98 },{ 186, 160, 8 }, },
{ { 222, 126, 239 },{ 223, 127, 232 },{ 125, 195, 98 },{ 194, 168, 8 }, }, { { 230, 134, 239 },{ 231, 135, 232 },{ 133, 203, 98 },{ 202, 176, 8 }, },
{ { 239, 143, 239 },{ 240, 144, 232 },{ 142, 212, 98 },{ 211, 185, 8 }, }, { { 247, 151, 239 },{ 180, 248, 784 },{ 150, 220, 98 },{ 219, 193, 8 }, },
{ { 159, 228, 3682 },{ 201, 227, 3648 },{ 158, 228, 98 },{ 227, 201, 8 }, }, { { 181, 249, 3928 },{ 209, 235, 3648 },{ 166, 236, 98 },{ 235, 209, 8 }, },
{ { 255, 189, 169 },{ 218, 244, 3648 },{ 175, 245, 98 },{ 244, 218, 8 }, }, { { 197, 226, 4040 },{ 226, 252, 3648 },{ 183, 253, 98 },{ 252, 226, 8 }, },
{ { 205, 234, 4040 },{ 255, 234, 8 },{ 205, 234, 456 },{ 255, 234, 8 }, }, { { 213, 242, 4040 },{ 255, 242, 8 },{ 213, 242, 456 },{ 255, 242, 8 }, },
{ { 18, 60, 566 },{ 18, 60, 560 },{ 18, 0, 9 },{ 18, 0, 8 }, }, { { 26, 68, 566 },{ 26, 68, 560 },{ 26, 0, 9 },{ 26, 0, 8 }, },
{ { 34, 76, 566 },{ 34, 76, 560 },{ 34, 0, 9 },{ 34, 0, 8 }, }, { { 5, 104, 2758 },{ 98, 5, 1352 },{ 42, 0, 57 },{ 42, 6, 8 }, },
{ { 92, 0, 313 },{ 93, 1, 312 },{ 15, 51, 70 },{ 51, 15, 8 }, }, { { 3, 101, 790 },{ 3, 101, 784 },{ 0, 59, 88 },{ 59, 23, 8 }, },
{ { 14, 107, 790 },{ 11, 109, 784 },{ 31, 67, 70 },{ 67, 31, 8 }, }, { { 19, 117, 790 },{ 19, 117, 784 },{ 39, 75, 70 },{ 75, 39, 8 }, },
{ { 28, 126, 790 },{ 28, 126, 784 },{ 83, 5, 33 },{ 84, 48, 8 }, }, { { 132, 0, 239 },{ 36, 134, 784 },{ 91, 13, 33 },{ 92, 56, 8 }, },
{ { 142, 4, 239 },{ 44, 142, 784 },{ 99, 21, 33 },{ 100, 64, 8 }, }, { { 150, 12, 239 },{ 52, 150, 784 },{ 107, 29, 33 },{ 108, 72, 8 }, },
{ { 159, 21, 239 },{ 61, 159, 784 },{ 116, 38, 33 },{ 117, 81, 8 }, }, { { 167, 29, 239 },{ 69, 167, 784 },{ 124, 46, 33 },{ 125, 89, 8 }, },
{ { 175, 37, 239 },{ 77, 175, 784 },{ 132, 54, 33 },{ 133, 97, 8 }, }, { { 183, 45, 239 },{ 85, 183, 784 },{ 140, 62, 33 },{ 141, 105, 8 }, },
{ { 192, 54, 239 },{ 94, 192, 784 },{ 149, 71, 33 },{ 150, 114, 8 }, }, { { 200, 62, 239 },{ 102, 200, 784 },{ 157, 79, 33 },{ 158, 122, 8 }, },
{ { 208, 70, 239 },{ 110, 208, 784 },{ 165, 87, 33 },{ 166, 130, 8 }, }, { { 216, 78, 239 },{ 118, 216, 784 },{ 173, 95, 33 },{ 174, 138, 8 }, },
{ { 225, 87, 239 },{ 127, 225, 784 },{ 182, 104, 33 },{ 183, 147, 8 }, }, { { 233, 95, 239 },{ 135, 233, 784 },{ 190, 112, 33 },{ 191, 155, 8 }, },
{ { 241, 103, 239 },{ 143, 241, 784 },{ 198, 120, 33 },{ 199, 163, 8 }, }, { { 111, 208, 3682 },{ 151, 249, 784 },{ 206, 128, 33 },{ 207, 171, 8 }, },
{ { 120, 217, 3682 },{ 180, 216, 3648 },{ 215, 137, 33 },{ 216, 180, 8 }, }, { { 128, 225, 3682 },{ 188, 224, 3648 },{ 223, 145, 33 },{ 224, 188, 8 }, },
{ { 155, 253, 3928 },{ 196, 232, 3648 },{ 231, 153, 33 },{ 232, 196, 8 }, }, { { 144, 241, 3682 },{ 204, 240, 3648 },{ 239, 161, 33 },{ 240, 204, 8 }, },
{ { 153, 250, 3682 },{ 213, 249, 3648 },{ 248, 170, 33 },{ 249, 213, 8 }, }, { { 179, 221, 4040 },{ 255, 221, 8 },{ 179, 221, 456 },{ 255, 221, 8 }, },
{ { 187, 229, 4040 },{ 255, 229, 8 },{ 187, 229, 456 },{ 255, 229, 8 }, }, { { 195, 237, 4040 },{ 255, 237, 8 },{ 195, 237, 456 },{ 255, 237, 8 }, },
{ { 24, 80, 566 },{ 24, 80, 560 },{ 24, 0, 9 },{ 24, 0, 8 }, }, { { 32, 88, 566 },{ 32, 88, 560 },{ 32, 0, 9 },{ 32, 0, 8 }, },
{ { 40, 96, 566 },{ 40, 96, 560 },{ 40, 0, 9 },{ 40, 0, 8 }, }, { { 48, 104, 566 },{ 48, 104, 560 },{ 48, 0, 9 },{ 48, 0, 8 }, },
{ { 9, 138, 2758 },{ 130, 7, 1352 },{ 9, 57, 70 },{ 57, 9, 8 }, }, { { 119, 0, 313 },{ 120, 0, 312 },{ 17, 65, 70 },{ 65, 17, 8 }, },
{ { 0, 128, 784 },{ 128, 6, 312 },{ 25, 73, 70 },{ 73, 25, 8 }, }, { { 6, 137, 790 },{ 5, 136, 784 },{ 33, 81, 70 },{ 81, 33, 8 }, },
{ { 42, 171, 2758 },{ 14, 145, 784 },{ 42, 90, 70 },{ 90, 42, 8 }, }, { { 50, 179, 2758 },{ 22, 153, 784 },{ 50, 98, 70 },{ 98, 50, 8 }, },
{ { 58, 187, 2758 },{ 30, 161, 784 },{ 58, 106, 70 },{ 106, 58, 8 }, }, { { 191, 18, 1329 },{ 38, 169, 784 },{ 112, 9, 33 },{ 114, 66, 8 }, },
{ { 176, 0, 239 },{ 47, 178, 784 },{ 121, 18, 33 },{ 123, 75, 8 }, }, { { 187, 1, 239 },{ 55, 186, 784 },{ 129, 26, 33 },{ 131, 83, 8 }, },
{ { 195, 10, 239 },{ 63, 194, 784 },{ 137, 34, 33 },{ 139, 91, 8 }, }, { { 203, 18, 239 },{ 71, 202, 784 },{ 145, 42, 33 },{ 147, 99, 8 }, },
{ { 212, 27, 239 },{ 80, 211, 784 },{ 154, 51, 33 },{ 156, 108, 8 }, }, { { 220, 35, 239 },{ 88, 219, 784 },{ 162, 59, 33 },{ 164, 116, 8 }, },
{ { 228, 43, 239 },{ 96, 227, 784 },{ 170, 67, 33 },{ 172, 124, 8 }, }, { { 236, 51, 239 },{ 104, 235, 784 },{ 178, 75, 33 },{ 180, 132, 8 }, },
{ { 245, 60, 239 },{ 113, 244, 784 },{ 187, 84, 33 },{ 189, 141, 8 }, }, { { 91, 194, 3680 },{ 149, 197, 3648 },{ 195, 92, 33 },{ 197, 149, 8 }, },
{ { 99, 202, 3680 },{ 157, 205, 3648 },{ 203, 100, 33 },{ 205, 157, 8 }, }, { { 107, 210, 3680 },{ 165, 213, 3648 },{ 211, 108, 33 },{ 213, 165, 8 }, },
{ { 119, 249, 3928 },{ 174, 222, 3648 },{ 220, 117, 33 },{ 222, 174, 8 }, }, { { 127, 255, 856 },{ 182, 230, 3648 },{ 228, 125, 33 },{ 230, 182, 8 }, },
{ { 255, 135, 169 },{ 190, 238, 3648 },{ 236, 133, 33 },{ 238, 190, 8 }, }, { { 140, 243, 3680 },{ 198, 246, 3648 },{ 244, 141, 33 },{ 246, 198, 8 }, },
{ { 151, 207, 4040 },{ 255, 207, 8 },{ 151, 207, 456 },{ 255, 207, 8 }, }, { { 159, 215, 4040 },{ 255, 215, 8 },{ 159, 215, 456 },{ 255, 215, 8 }, },
{ { 167, 223, 4040 },{ 255, 223, 8 },{ 167, 223, 456 },{ 255, 223, 8 }, }, { { 175, 231, 4040 },{ 255, 231, 8 },{ 175, 231, 456 },{ 255, 231, 8 }, },
{ { 33, 106, 566 },{ 33, 106, 560 },{ 33, 0, 9 },{ 33, 0, 8 }, }, { { 41, 114, 566 },{ 41, 114, 560 },{ 41, 0, 9 },{ 41, 0, 8 }, },
{ { 49, 122, 566 },{ 49, 122, 560 },{ 49, 0, 9 },{ 49, 0, 8 }, }, { { 57, 130, 566 },{ 57, 130, 560 },{ 57, 0, 9 },{ 57, 0, 8 }, },
{ { 66, 139, 566 },{ 66, 139, 560 },{ 66, 0, 9 },{ 66, 0, 8 }, }, { { 74, 147, 566 },{ 170, 7, 1352 },{ 8, 74, 70 },{ 74, 8, 8 }, },
{ { 152, 0, 313 },{ 178, 15, 1352 },{ 0, 82, 80 },{ 82, 16, 8 }, }, { { 162, 0, 313 },{ 186, 23, 1352 },{ 24, 90, 70 },{ 90, 24, 8 }, },
{ { 0, 171, 784 },{ 195, 32, 1352 },{ 33, 99, 70 },{ 99, 33, 8 }, }, { { 6, 179, 790 },{ 203, 40, 1352 },{ 41, 107, 70 },{ 107, 41, 8 }, },
{ { 15, 187, 790 },{ 211, 48, 1352 },{ 115, 0, 41 },{ 115, 49, 8 }, }, { { 61, 199, 710 },{ 219, 56, 1352 },{ 57, 123, 70 },{ 123, 57, 8 }, },
{ { 70, 208, 710 },{ 228, 65, 1352 },{ 66, 132, 70 },{ 132, 66, 8 }, }, { { 78, 216, 710 },{ 236, 73, 1352 },{ 74, 140, 70 },{ 140, 74, 8 }, },
{ { 86, 224, 710 },{ 244, 81, 1352 },{ 145, 7, 33 },{ 148, 82, 8 }, }, { { 222, 8, 233 },{ 252, 89, 1352 },{ 153, 15, 33 },{ 156, 90, 8 }, },
{ { 235, 0, 239 },{ 241, 101, 328 },{ 166, 6, 39 },{ 165, 99, 8 }, }, { { 32, 170, 3680 },{ 249, 109, 328 },{ 0, 175, 98 },{ 173, 107, 8 }, },
{ { 40, 178, 3680 },{ 115, 181, 3648 },{ 8, 183, 98 },{ 181, 115, 8 }, }, { { 48, 186, 3680 },{ 123, 189, 3648 },{ 16, 191, 98 },{ 189, 123, 8 }, },
{ { 57, 195, 3680 },{ 132, 198, 3648 },{ 25, 200, 98 },{ 198, 132, 8 }, }, { { 67, 243, 3928 },{ 140, 206, 3648 },{ 33, 208, 98 },{ 206, 140, 8 }, },
{ { 76, 251, 3928 },{ 148, 214, 3648 },{ 41, 216, 98 },{ 214, 148, 8 }, }, { { 86, 255, 856 },{ 156, 222, 3648 },{ 49, 224, 98 },{ 222, 156, 8 }, },
{ { 255, 93, 169 },{ 165, 231, 3648 },{ 58, 233, 98 },{ 231, 165, 8 }, }, { { 98, 236, 3680 },{ 173, 239, 3648 },{ 66, 241, 98 },{ 239, 173, 8 }, },
{ { 108, 181, 4040 },{ 181, 247, 3648 },{ 74, 249, 98 },{ 247, 181, 8 }, }, { { 116, 189, 4040 },{ 255, 189, 8 },{ 116, 189, 456 },{ 255, 189, 8 }, },
{ { 125, 198, 4040 },{ 255, 198, 8 },{ 125, 198, 456 },{ 255, 198, 8 }, }, { { 133, 206, 4040 },{ 255, 206, 8 },{ 133, 206, 456 },{ 255, 206, 8 }, },
{ { 141, 214, 4040 },{ 255, 214, 8 },{ 141, 214, 456 },{ 255, 214, 8 }, }, { { 149, 222, 4040 },{ 255, 222, 8 },{ 149, 222, 456 },{ 255, 222, 8 }, },
{ { 47, 183, 566 },{ 47, 183, 560 },{ 47, 0, 9 },{ 47, 0, 8 }, }, { { 55, 191, 566 },{ 55, 191, 560 },{ 55, 0, 9 },{ 55, 0, 8 }, },
{ { 63, 199, 566 },{ 63, 199, 560 },{ 63, 0, 9 },{ 63, 0, 8 }, }, { { 71, 207, 566 },{ 71, 207, 560 },{ 71, 0, 9 },{ 71, 0, 8 }, },
{ { 80, 216, 566 },{ 80, 216, 560 },{ 80, 0, 9 },{ 80, 0, 8 }, }, { { 88, 224, 566 },{ 88, 224, 560 },{ 88, 0, 9 },{ 88, 0, 8 }, },
{ { 3, 233, 710 },{ 3, 233, 704 },{ 2, 96, 70 },{ 96, 2, 8 }, }, { { 11, 241, 710 },{ 11, 241, 704 },{ 10, 104, 70 },{ 104, 10, 8 }, },
{ { 20, 250, 710 },{ 20, 250, 704 },{ 19, 113, 70 },{ 113, 19, 8 }, }, { { 27, 121, 3654 },{ 27, 121, 3648 },{ 27, 121, 70 },{ 121, 27, 8 }, },
{ { 35, 129, 3654 },{ 35, 129, 3648 },{ 35, 129, 70 },{ 129, 35, 8 }, }, { { 43, 137, 3654 },{ 43, 137, 3648 },{ 43, 137, 70 },{ 137, 43, 8 }, },
{ { 52, 146, 3654 },{ 52, 146, 3648 },{ 52, 146, 70 },{ 146, 52, 8 }, }, { { 60, 154, 3654 },{ 60, 154, 3648 },{ 60, 154, 70 },{ 154, 60, 8 }, },
{ { 68, 162, 3654 },{ 68, 162, 3648 },{ 68, 162, 70 },{ 162, 68, 8 }, }, { { 76, 170, 3654 },{ 76, 170, 3648 },{ 76, 170, 70 },{ 170, 76, 8 }, },
{ { 85, 179, 3654 },{ 85, 179, 3648 },{ 85, 179, 70 },{ 179, 85, 8 }, }, { { 93, 187, 3654 },{ 93, 187, 3648 },{ 93, 187, 70 },{ 187, 93, 8 }, },
{ { 101, 195, 3654 },{ 101, 195, 3648 },{ 101, 195, 70 },{ 195, 101, 8 }, }, { { 109, 203, 3654 },{ 109, 203, 3648 },{ 109, 203, 70 },{ 203, 109, 8 }, },
{ { 118, 212, 3654 },{ 118, 212, 3648 },{ 118, 212, 70 },{ 212, 118, 8 }, }, { { 126, 220, 3654 },{ 126, 220, 3648 },{ 126, 220, 70 },{ 220, 126, 8 }, },
{ { 134, 228, 3654 },{ 134, 228, 3648 },{ 134, 228, 70 },{ 228, 134, 8 }, }, { { 5, 236, 3680 },{ 142, 236, 3648 },{ 5, 236, 96 },{ 236, 142, 8 }, },
{ { 14, 245, 3680 },{ 151, 245, 3648 },{ 14, 245, 96 },{ 245, 151, 8 }, }, { { 23, 159, 4040 },{ 159, 253, 3648 },{ 23, 159, 456 },{ 253, 159, 8 }, },
{ { 31, 167, 4040 },{ 255, 167, 8 },{ 31, 167, 456 },{ 255, 167, 8 }, }, { { 39, 175, 4040 },{ 255, 175, 8 },{ 39, 175, 456 },{ 255, 175, 8 }, },
{ { 48, 184, 4040 },{ 255, 184, 8 },{ 48, 184, 456 },{ 255, 184, 8 }, }, { { 56, 192, 4040 },{ 255, 192, 8 },{ 56, 192, 456 },{ 255, 192, 8 }, },
{ { 64, 200, 4040 },{ 255, 200, 8 },{ 64, 200, 456 },{ 255, 200, 8 }, },{ { 72, 208, 4040 },{ 255, 208, 8 },{ 72, 208, 456 },{ 255, 208, 8 }, },
};
struct dxt5a_block
{
uint8_t m_endpoints[2];
enum { cTotalSelectorBytes = 6 };
uint8_t m_selectors[cTotalSelectorBytes];
inline void clear()
{
basisu::clear_obj(*this);
}
inline uint32_t get_low_alpha() const
{
return m_endpoints[0];
}
inline uint32_t get_high_alpha() const
{
return m_endpoints[1];
}
inline void set_low_alpha(uint32_t i)
{
assert(i <= UINT8_MAX);
m_endpoints[0] = static_cast<uint8_t>(i);
}
inline void set_high_alpha(uint32_t i)
{
assert(i <= UINT8_MAX);
m_endpoints[1] = static_cast<uint8_t>(i);
}
inline bool is_alpha6_block() const { return get_low_alpha() <= get_high_alpha(); }
uint32_t get_endpoints_as_word() const { return m_endpoints[0] | (m_endpoints[1] << 8); }
uint32_t get_selectors_as_word(uint32_t index) { assert(index < 3); return m_selectors[index * 2] | (m_selectors[index * 2 + 1] << 8); }
inline uint32_t get_selector(uint32_t x, uint32_t y) const
{
assert((x < 4U) && (y < 4U));
uint32_t selector_index = (y * 4) + x;
uint32_t bit_index = selector_index * cDXT5SelectorBits;
uint32_t byte_index = bit_index >> 3;
uint32_t bit_ofs = bit_index & 7;
uint32_t v = m_selectors[byte_index];
if (byte_index < (cTotalSelectorBytes - 1))
v |= (m_selectors[byte_index + 1] << 8);
return (v >> bit_ofs) & 7;
}
inline void set_selector(uint32_t x, uint32_t y, uint32_t val)
{
assert((x < 4U) && (y < 4U) && (val < 8U));
uint32_t selector_index = (y * 4) + x;
uint32_t bit_index = selector_index * cDXT5SelectorBits;
uint32_t byte_index = bit_index >> 3;
uint32_t bit_ofs = bit_index & 7;
uint32_t v = m_selectors[byte_index];
if (byte_index < (cTotalSelectorBytes - 1))
v |= (m_selectors[byte_index + 1] << 8);
v &= (~(7 << bit_ofs));
v |= (val << bit_ofs);
m_selectors[byte_index] = static_cast<uint8_t>(v);
if (byte_index < (cTotalSelectorBytes - 1))
m_selectors[byte_index + 1] = static_cast<uint8_t>(v >> 8);
}
enum { cMaxSelectorValues = 8 };
static uint32_t get_block_values6(color32* pDst, uint32_t l, uint32_t h)
{
pDst[0].a = static_cast<uint8_t>(l);
pDst[1].a = static_cast<uint8_t>(h);
pDst[2].a = static_cast<uint8_t>((l * 4 + h) / 5);
pDst[3].a = static_cast<uint8_t>((l * 3 + h * 2) / 5);
pDst[4].a = static_cast<uint8_t>((l * 2 + h * 3) / 5);
pDst[5].a = static_cast<uint8_t>((l + h * 4) / 5);
pDst[6].a = 0;
pDst[7].a = 255;
return 6;
}
static uint32_t get_block_values8(color32* pDst, uint32_t l, uint32_t h)
{
pDst[0].a = static_cast<uint8_t>(l);
pDst[1].a = static_cast<uint8_t>(h);
pDst[2].a = static_cast<uint8_t>((l * 6 + h) / 7);
pDst[3].a = static_cast<uint8_t>((l * 5 + h * 2) / 7);
pDst[4].a = static_cast<uint8_t>((l * 4 + h * 3) / 7);
pDst[5].a = static_cast<uint8_t>((l * 3 + h * 4) / 7);
pDst[6].a = static_cast<uint8_t>((l * 2 + h * 5) / 7);
pDst[7].a = static_cast<uint8_t>((l + h * 6) / 7);
return 8;
}
static uint32_t get_block_values(color32* pDst, uint32_t l, uint32_t h)
{
if (l > h)
return get_block_values8(pDst, l, h);
else
return get_block_values6(pDst, l, h);
}
};
static void convert_etc1s_to_dxt5a(dxt5a_block* pDst_block, const endpoint* pEndpoints, const selector* pSelector)
{
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r;
decoder_etc_block::get_block_color5_r(base_color, inten_table, low_selector, r);
pDst_block->set_low_alpha(r);
pDst_block->set_high_alpha(r);
pDst_block->m_selectors[0] = 0;
pDst_block->m_selectors[1] = 0;
pDst_block->m_selectors[2] = 0;
pDst_block->m_selectors[3] = 0;
pDst_block->m_selectors[4] = 0;
pDst_block->m_selectors[5] = 0;
return;
}
else if (pSelector->m_num_unique_selectors == 2)
{
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[low_selector].r;
const uint32_t r1 = block_colors[high_selector].r;
pDst_block->set_low_alpha(r0);
pDst_block->set_high_alpha(r1);
// TODO: Optimize this
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
pDst_block->set_selector(x, y, (s == high_selector) ? 1 : 0);
}
}
return;
}
uint32_t selector_range_table = 0;
for (selector_range_table = 0; selector_range_table < NUM_DXT5A_SELECTOR_RANGES; selector_range_table++)
if ((low_selector == s_dxt5a_selector_ranges[selector_range_table].m_low) && (high_selector == s_dxt5a_selector_ranges[selector_range_table].m_high))
break;
if (selector_range_table >= NUM_DXT5A_SELECTOR_RANGES)
selector_range_table = 0;
const etc1_g_to_dxt5a_conversion* pTable_entry = &g_etc1_g_to_dxt5a[base_color.r + inten_table * 32][selector_range_table];
pDst_block->set_low_alpha(pTable_entry->m_lo);
pDst_block->set_high_alpha(pTable_entry->m_hi);
// TODO: Optimize this (like ETC1->BC1)
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t ds = (pTable_entry->m_trans >> (s * 3)) & 7;
pDst_block->set_selector(x, y, ds);
}
}
}
#endif //BASISD_SUPPORT_DXT5A
// PVRTC
#if BASISD_SUPPORT_PVRTC1 || BASISD_SUPPORT_UASTC
static const uint16_t g_pvrtc_swizzle_table[256] =
{
0x0000, 0x0001, 0x0004, 0x0005, 0x0010, 0x0011, 0x0014, 0x0015, 0x0040, 0x0041, 0x0044, 0x0045, 0x0050, 0x0051, 0x0054, 0x0055, 0x0100, 0x0101, 0x0104, 0x0105, 0x0110, 0x0111, 0x0114, 0x0115, 0x0140, 0x0141, 0x0144, 0x0145, 0x0150, 0x0151, 0x0154, 0x0155,
0x0400, 0x0401, 0x0404, 0x0405, 0x0410, 0x0411, 0x0414, 0x0415, 0x0440, 0x0441, 0x0444, 0x0445, 0x0450, 0x0451, 0x0454, 0x0455, 0x0500, 0x0501, 0x0504, 0x0505, 0x0510, 0x0511, 0x0514, 0x0515, 0x0540, 0x0541, 0x0544, 0x0545, 0x0550, 0x0551, 0x0554, 0x0555,
0x1000, 0x1001, 0x1004, 0x1005, 0x1010, 0x1011, 0x1014, 0x1015, 0x1040, 0x1041, 0x1044, 0x1045, 0x1050, 0x1051, 0x1054, 0x1055, 0x1100, 0x1101, 0x1104, 0x1105, 0x1110, 0x1111, 0x1114, 0x1115, 0x1140, 0x1141, 0x1144, 0x1145, 0x1150, 0x1151, 0x1154, 0x1155,
0x1400, 0x1401, 0x1404, 0x1405, 0x1410, 0x1411, 0x1414, 0x1415, 0x1440, 0x1441, 0x1444, 0x1445, 0x1450, 0x1451, 0x1454, 0x1455, 0x1500, 0x1501, 0x1504, 0x1505, 0x1510, 0x1511, 0x1514, 0x1515, 0x1540, 0x1541, 0x1544, 0x1545, 0x1550, 0x1551, 0x1554, 0x1555,
0x4000, 0x4001, 0x4004, 0x4005, 0x4010, 0x4011, 0x4014, 0x4015, 0x4040, 0x4041, 0x4044, 0x4045, 0x4050, 0x4051, 0x4054, 0x4055, 0x4100, 0x4101, 0x4104, 0x4105, 0x4110, 0x4111, 0x4114, 0x4115, 0x4140, 0x4141, 0x4144, 0x4145, 0x4150, 0x4151, 0x4154, 0x4155,
0x4400, 0x4401, 0x4404, 0x4405, 0x4410, 0x4411, 0x4414, 0x4415, 0x4440, 0x4441, 0x4444, 0x4445, 0x4450, 0x4451, 0x4454, 0x4455, 0x4500, 0x4501, 0x4504, 0x4505, 0x4510, 0x4511, 0x4514, 0x4515, 0x4540, 0x4541, 0x4544, 0x4545, 0x4550, 0x4551, 0x4554, 0x4555,
0x5000, 0x5001, 0x5004, 0x5005, 0x5010, 0x5011, 0x5014, 0x5015, 0x5040, 0x5041, 0x5044, 0x5045, 0x5050, 0x5051, 0x5054, 0x5055, 0x5100, 0x5101, 0x5104, 0x5105, 0x5110, 0x5111, 0x5114, 0x5115, 0x5140, 0x5141, 0x5144, 0x5145, 0x5150, 0x5151, 0x5154, 0x5155,
0x5400, 0x5401, 0x5404, 0x5405, 0x5410, 0x5411, 0x5414, 0x5415, 0x5440, 0x5441, 0x5444, 0x5445, 0x5450, 0x5451, 0x5454, 0x5455, 0x5500, 0x5501, 0x5504, 0x5505, 0x5510, 0x5511, 0x5514, 0x5515, 0x5540, 0x5541, 0x5544, 0x5545, 0x5550, 0x5551, 0x5554, 0x5555
};
// Note we can't use simple calculations to convert PVRTC1 encoded endpoint components to/from 8-bits, due to hardware approximations.
static const uint8_t g_pvrtc_5[32] = { 0,8,16,24,33,41,49,57,66,74,82,90,99,107,115,123,132,140,148,156,165,173,181,189,198,206,214,222,231,239,247,255 };
static const uint8_t g_pvrtc_4[16] = { 0,16,33,49,66,82,99,115,140,156,173,189,206,222,239,255 };
static const uint8_t g_pvrtc_3[8] = { 0,33,74,107,148,181,222,255 };
static const uint8_t g_pvrtc_alpha[9] = { 0,34,68,102,136,170,204,238,255 };
static const uint8_t g_pvrtc_5_floor[256] =
{
0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,
3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,
7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,11,11,11,11,11,11,
11,11,11,12,12,12,12,12,12,12,12,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,15,15,15,15,15,
15,15,15,15,16,16,16,16,16,16,16,16,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,19,19,19,19,
19,19,19,19,19,20,20,20,20,20,20,20,20,21,21,21,21,21,21,21,21,22,22,22,22,22,22,22,22,23,23,23,
23,23,23,23,23,23,24,24,24,24,24,24,24,24,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26,27,27,
27,27,27,27,27,27,27,28,28,28,28,28,28,28,28,29,29,29,29,29,29,29,29,30,30,30,30,30,30,30,30,31
};
static const uint8_t g_pvrtc_5_ceil[256] =
{
0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,
4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8,8,8,
8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,12,12,12,12,12,
12,12,12,12,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,16,16,16,16,
16,16,16,16,16,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,19,19,19,19,19,19,19,19,20,20,20,
20,20,20,20,20,20,21,21,21,21,21,21,21,21,22,22,22,22,22,22,22,22,23,23,23,23,23,23,23,23,24,24,
24,24,24,24,24,24,24,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26,27,27,27,27,27,27,27,27,28,
28,28,28,28,28,28,28,28,29,29,29,29,29,29,29,29,30,30,30,30,30,30,30,30,31,31,31,31,31,31,31,31
};
static const uint8_t g_pvrtc_4_floor[256] =
{
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,
7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,
9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,
11,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,13,13,
13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,15
};
static const uint8_t g_pvrtc_4_ceil[256] =
{
0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,14,
14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15
};
static const uint8_t g_pvrtc_3_floor[256] =
{
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,
0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7
};
static const uint8_t g_pvrtc_3_ceil[256] =
{
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,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,
7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7
};
static const uint8_t g_pvrtc_alpha_floor[256] =
{
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,
0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8
};
static const uint8_t g_pvrtc_alpha_ceil[256] =
{
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,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8
};
struct pvrtc4_block
{
uint32_t m_modulation;
uint32_t m_endpoints;
pvrtc4_block() : m_modulation(0), m_endpoints(0) { }
inline bool operator== (const pvrtc4_block& rhs) const
{
return (m_modulation == rhs.m_modulation) && (m_endpoints == rhs.m_endpoints);
}
inline void clear()
{
m_modulation = 0;
m_endpoints = 0;
}
inline bool get_block_uses_transparent_modulation() const
{
return (m_endpoints & 1) != 0;
}
inline void set_block_uses_transparent_modulation(bool m)
{
m_endpoints = (m_endpoints & ~1U) | static_cast<uint32_t>(m);
}
inline bool is_endpoint_opaque(uint32_t endpoint_index) const
{
static const uint32_t s_bitmasks[2] = { 0x8000U, 0x80000000U };
return (m_endpoints & s_bitmasks[basisu::open_range_check(endpoint_index, 2U)]) != 0;
}
inline void set_endpoint_opaque(uint32_t endpoint_index, bool opaque)
{
assert(endpoint_index < 2);
static const uint32_t s_bitmasks[2] = { 0x8000U, 0x80000000U };
if (opaque)
m_endpoints |= s_bitmasks[endpoint_index];
else
m_endpoints &= ~s_bitmasks[endpoint_index];
}
inline color32 get_endpoint_5554(uint32_t endpoint_index) const
{
assert(endpoint_index < 2);
static const uint32_t s_endpoint_mask[2] = { 0xFFFE, 0xFFFF };
uint32_t packed = (m_endpoints >> (basisu::open_range_check(endpoint_index, 2U) ? 16 : 0)) & s_endpoint_mask[endpoint_index];
uint32_t r, g, b, a;
if (packed & 0x8000)
{
// opaque 554 or 555
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
if (!endpoint_index)
b |= (b >> 4);
a = 0xF;
}
else
{
// translucent 4433 or 4443
r = (packed >> 7) & 0x1E;
g = (packed >> 3) & 0x1E;
b = (packed & 0xF) << 1;
r |= (r >> 4);
g |= (g >> 4);
if (!endpoint_index)
b |= (b >> 3);
else
b |= (b >> 4);
a = (packed >> 11) & 0xE;
}
assert((r < 32) && (g < 32) && (b < 32) && (a < 16));
return color32(r, g, b, a);
}
inline color32 get_endpoint_8888(uint32_t endpoint_index) const
{
assert(endpoint_index < 2);
static const uint32_t s_endpoint_mask[2] = { 0xFFFE, 0xFFFF };
uint32_t packed = (m_endpoints >> (basisu::open_range_check(endpoint_index, 2U) ? 16 : 0)) & s_endpoint_mask[endpoint_index];
uint32_t r, g, b, a;
if (packed & 0x8000)
{
// opaque 554 or 555
// 1RRRRRGGGGGBBBBM
// 1RRRRRGGGGGBBBBB
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
r = g_pvrtc_5[r];
g = g_pvrtc_5[g];
if (!endpoint_index)
b = g_pvrtc_4[b >> 1];
else
b = g_pvrtc_5[b];
a = 255;
}
else
{
// translucent 4433 or 4443
// 0AAA RRRR GGGG BBBM
// 0AAA RRRR GGGG BBBB
r = (packed >> 8) & 0xF;
g = (packed >> 4) & 0xF;
b = packed & 0xF;
a = (packed >> 12) & 7;
r = g_pvrtc_4[r];
g = g_pvrtc_4[g];
if (!endpoint_index)
b = g_pvrtc_3[b >> 1];
else
b = g_pvrtc_4[b];
a = g_pvrtc_alpha[a];
}
return color32(r, g, b, a);
}
inline uint32_t get_endpoint_l8(uint32_t endpoint_index) const
{
color32 c(get_endpoint_8888(endpoint_index));
return c.r + c.g + c.b + c.a;
}
inline uint32_t get_opaque_endpoint_l0() const
{
uint32_t packed = m_endpoints & 0xFFFE;
uint32_t r, g, b;
assert(packed & 0x8000);
// opaque 554 or 555
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
b |= (b >> 4);
return r + g + b;
}
inline uint32_t get_opaque_endpoint_l1() const
{
uint32_t packed = m_endpoints >> 16;
uint32_t r, g, b;
assert(packed & 0x8000);
// opaque 554 or 555
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
return r + g + b;
}
static uint32_t get_component_precision_in_bits(uint32_t c, uint32_t endpoint_index, bool opaque_endpoint)
{
static const uint32_t s_comp_prec[4][4] =
{
// R0 G0 B0 A0 R1 G1 B1 A1
{ 4, 4, 3, 3 },{ 4, 4, 4, 3 }, // transparent endpoint
{ 5, 5, 4, 0 },{ 5, 5, 5, 0 } // opaque endpoint
};
return s_comp_prec[basisu::open_range_check(endpoint_index, 2U) + (opaque_endpoint * 2)][basisu::open_range_check(c, 4U)];
}
static color32 get_color_precision_in_bits(uint32_t endpoint_index, bool opaque_endpoint)
{
static const color32 s_color_prec[4] =
{
color32(4, 4, 3, 3), color32(4, 4, 4, 3), // transparent endpoint
color32(5, 5, 4, 0), color32(5, 5, 5, 0) // opaque endpoint
};
return s_color_prec[basisu::open_range_check(endpoint_index, 2U) + (opaque_endpoint * 2)];
}
inline void set_opaque_endpoint_floor(uint32_t endpoint_index, const color32& c)
{
assert(endpoint_index < 2);
const uint32_t m = m_endpoints & 1;
uint32_t r = g_pvrtc_5_floor[c[0]], g = g_pvrtc_5_floor[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_4_floor[b] << 1;
else
b = g_pvrtc_5_floor[b];
// rgba=555 here
assert((r < 32) && (g < 32) && (b < 32));
// 1RRRRRGGGGGBBBBM
// 1RRRRRGGGGGBBBBB
// opaque 554 or 555
uint32_t packed = 0x8000 | (r << 10) | (g << 5) | b;
if (!endpoint_index)
packed = (packed & ~1) | m;
assert(packed <= 0xFFFF);
if (endpoint_index)
m_endpoints = (m_endpoints & 0xFFFFU) | (packed << 16);
else
m_endpoints = (m_endpoints & 0xFFFF0000U) | packed;
}
inline void set_opaque_endpoint_ceil(uint32_t endpoint_index, const color32& c)
{
assert(endpoint_index < 2);
const uint32_t m = m_endpoints & 1;
uint32_t r = g_pvrtc_5_ceil[c[0]], g = g_pvrtc_5_ceil[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_4_ceil[b] << 1;
else
b = g_pvrtc_5_ceil[b];
// rgba=555 here
assert((r < 32) && (g < 32) && (b < 32));
// 1RRRRRGGGGGBBBBM
// 1RRRRRGGGGGBBBBB
// opaque 554 or 555
uint32_t packed = 0x8000 | (r << 10) | (g << 5) | b;
if (!endpoint_index)
packed |= m;
assert(packed <= 0xFFFF);
if (endpoint_index)
m_endpoints = (m_endpoints & 0xFFFFU) | (packed << 16);
else
m_endpoints = (m_endpoints & 0xFFFF0000U) | packed;
}
// opaque endpoints: 554 or 555
// transparent endpoints: 3443 or 3444
inline void set_endpoint_raw(uint32_t endpoint_index, const color32& c, bool opaque_endpoint)
{
assert(endpoint_index < 2);
const uint32_t m = m_endpoints & 1;
uint32_t r = c[0], g = c[1], b = c[2], a = c[3];
uint32_t packed;
if (opaque_endpoint)
{
if (!endpoint_index)
{
// 554
// 1RRRRRGGGGGBBBBM
assert((r < 32) && (g < 32) && (b < 16));
packed = 0x8000 | (r << 10) | (g << 5) | (b << 1) | m;
}
else
{
// 555
// 1RRRRRGGGGGBBBBB
assert((r < 32) && (g < 32) && (b < 32));
packed = 0x8000 | (r << 10) | (g << 5) | b;
}
}
else
{
if (!endpoint_index)
{
// 3443
// 0AAA RRRR GGGG BBBM
assert((r < 16) && (g < 16) && (b < 8) && (a < 8));
packed = (a << 12) | (r << 8) | (g << 4) | (b << 1) | m;
}
else
{
// 3444
// 0AAA RRRR GGGG BBBB
assert((r < 16) && (g < 16) && (b < 16) && (a < 8));
packed = (a << 12) | (r << 8) | (g << 4) | b;
}
}
assert(packed <= 0xFFFF);
if (endpoint_index)
m_endpoints = (m_endpoints & 0xFFFFU) | (packed << 16);
else
m_endpoints = (m_endpoints & 0xFFFF0000U) | packed;
}
inline void set_endpoint_floor(uint32_t endpoint_index, const color32& c)
{
assert(endpoint_index < 2);
int a = g_pvrtc_alpha_floor[c.a];
if (a == 8)
{
// 554 or 555
uint32_t r = g_pvrtc_5_floor[c[0]], g = g_pvrtc_5_floor[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_4_floor[b];
else
b = g_pvrtc_5_floor[b];
set_endpoint_raw(endpoint_index, color32(r, g, b, a), true);
}
else
{
// 4433 or 4443
uint32_t r = g_pvrtc_4_floor[c[0]], g = g_pvrtc_4_floor[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_3_floor[b];
else
b = g_pvrtc_4_floor[b];
set_endpoint_raw(endpoint_index, color32(r, g, b, a), false);
}
}
inline void set_endpoint_ceil(uint32_t endpoint_index, const color32& c)
{
assert(endpoint_index < 2);
int a = g_pvrtc_alpha_ceil[c.a];
if (a == 8)
{
// 554 or 555
uint32_t r = g_pvrtc_5_ceil[c[0]], g = g_pvrtc_5_ceil[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_4_ceil[b];
else
b = g_pvrtc_5_ceil[b];
set_endpoint_raw(endpoint_index, color32(r, g, b, a), true);
}
else
{
// 4433 or 4443
uint32_t r = g_pvrtc_4_ceil[c[0]], g = g_pvrtc_4_ceil[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_3_ceil[b];
else
b = g_pvrtc_4_ceil[b];
set_endpoint_raw(endpoint_index, color32(r, g, b, a), false);
}
}
inline uint32_t get_modulation(uint32_t x, uint32_t y) const
{
assert((x < 4) && (y < 4));
return (m_modulation >> ((y * 4 + x) * 2)) & 3;
}
// Scaled by 8
inline const uint32_t* get_scaled_modulation_values(bool block_uses_transparent_modulation) const
{
static const uint32_t s_block_scales[2][4] = { { 0, 3, 5, 8 },{ 0, 4, 4, 8 } };
return s_block_scales[block_uses_transparent_modulation];
}
// Scaled by 8
inline uint32_t get_scaled_modulation(uint32_t x, uint32_t y) const
{
return get_scaled_modulation_values(get_block_uses_transparent_modulation())[get_modulation(x, y)];
}
inline void set_modulation(uint32_t x, uint32_t y, uint32_t s)
{
assert((x < 4) && (y < 4) && (s < 4));
uint32_t n = (y * 4 + x) * 2;
m_modulation = (m_modulation & (~(3 << n))) | (s << n);
assert(get_modulation(x, y) == s);
}
// Assumes modulation was initialized to 0
inline void set_modulation_fast(uint32_t x, uint32_t y, uint32_t s)
{
assert((x < 4) && (y < 4) && (s < 4));
uint32_t n = (y * 4 + x) * 2;
m_modulation |= (s << n);
assert(get_modulation(x, y) == s);
}
};
#if 0
static const uint8_t g_pvrtc_bilinear_weights[16][4] =
{
{ 4, 4, 4, 4 }, { 2, 6, 2, 6 }, { 8, 0, 8, 0 }, { 6, 2, 6, 2 },
{ 2, 2, 6, 6 }, { 1, 3, 3, 9 }, { 4, 0, 12, 0 }, { 3, 1, 9, 3 },
{ 8, 8, 0, 0 }, { 4, 12, 0, 0 }, { 16, 0, 0, 0 }, { 12, 4, 0, 0 },
{ 6, 6, 2, 2 }, { 3, 9, 1, 3 }, { 12, 0, 4, 0 }, { 9, 3, 3, 1 },
};
#endif
struct pvrtc1_temp_block
{
decoder_etc_block m_etc1_block;
uint32_t m_pvrtc_endpoints;
};
static inline uint32_t get_opaque_endpoint_l0(uint32_t endpoints)
{
uint32_t packed = endpoints;
uint32_t r, g, b;
assert(packed & 0x8000);
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 30;
b |= (b >> 4);
return r + g + b;
}
static inline uint32_t get_opaque_endpoint_l1(uint32_t endpoints)
{
uint32_t packed = endpoints >> 16;
uint32_t r, g, b;
assert(packed & 0x8000);
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
return r + g + b;
}
static color32 get_endpoint_8888(uint32_t endpoints, uint32_t endpoint_index)
{
assert(endpoint_index < 2);
static const uint32_t s_endpoint_mask[2] = { 0xFFFE, 0xFFFF };
uint32_t packed = (endpoints >> (basisu::open_range_check(endpoint_index, 2U) ? 16 : 0)) & s_endpoint_mask[endpoint_index];
uint32_t r, g, b, a;
if (packed & 0x8000)
{
// opaque 554 or 555
// 1RRRRRGGGGGBBBBM
// 1RRRRRGGGGGBBBBB
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
r = g_pvrtc_5[r];
g = g_pvrtc_5[g];
if (!endpoint_index)
b = g_pvrtc_4[b >> 1];
else
b = g_pvrtc_5[b];
a = 255;
}
else
{
// translucent 4433 or 4443
// 0AAA RRRR GGGG BBBM
// 0AAA RRRR GGGG BBBB
r = (packed >> 8) & 0xF;
g = (packed >> 4) & 0xF;
b = packed & 0xF;
a = (packed >> 12) & 7;
r = g_pvrtc_4[r];
g = g_pvrtc_4[g];
if (!endpoint_index)
b = g_pvrtc_3[b >> 1];
else
b = g_pvrtc_4[b];
a = g_pvrtc_alpha[a];
}
return color32(r, g, b, a);
}
static uint32_t get_endpoint_l8(uint32_t endpoints, uint32_t endpoint_index)
{
color32 c(get_endpoint_8888(endpoints, endpoint_index));
return c.r + c.g + c.b + c.a;
}
#endif
#if BASISD_SUPPORT_PVRTC1
// TODO: Support decoding a non-pow2 ETC1S texture into the next larger pow2 PVRTC texture.
static void fixup_pvrtc1_4_modulation_rgb(const decoder_etc_block* pETC_Blocks, const uint32_t* pPVRTC_endpoints, void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y)
{
const uint32_t x_mask = num_blocks_x - 1;
const uint32_t y_mask = num_blocks_y - 1;
const uint32_t x_bits = basisu::total_bits(x_mask);
const uint32_t y_bits = basisu::total_bits(y_mask);
const uint32_t min_bits = basisu::minimum(x_bits, y_bits);
//const uint32_t max_bits = basisu::maximum(x_bits, y_bits);
const uint32_t swizzle_mask = (1 << (min_bits * 2)) - 1;
uint32_t block_index = 0;
// really 3x3
int e0[4][4], e1[4][4];
for (int y = 0; y < static_cast<int>(num_blocks_y); y++)
{
const uint32_t* pE_rows[3];
for (int ey = 0; ey < 3; ey++)
{
int by = y + ey - 1;
const uint32_t* pE = &pPVRTC_endpoints[(by & y_mask) * num_blocks_x];
pE_rows[ey] = pE;
for (int ex = 0; ex < 3; ex++)
{
int bx = 0 + ex - 1;
const uint32_t e = pE[bx & x_mask];
e0[ex][ey] = (get_opaque_endpoint_l0(e) * 255) / 31;
e1[ex][ey] = (get_opaque_endpoint_l1(e) * 255) / 31;
}
}
const uint32_t y_swizzle = (g_pvrtc_swizzle_table[y >> 8] << 16) | g_pvrtc_swizzle_table[y & 0xFF];
for (int x = 0; x < static_cast<int>(num_blocks_x); x++, block_index++)
{
const decoder_etc_block& src_block = pETC_Blocks[block_index];
const uint32_t x_swizzle = (g_pvrtc_swizzle_table[x >> 8] << 17) | (g_pvrtc_swizzle_table[x & 0xFF] << 1);
uint32_t swizzled = x_swizzle | y_swizzle;
if (num_blocks_x != num_blocks_y)
{
swizzled &= swizzle_mask;
if (num_blocks_x > num_blocks_y)
swizzled |= ((x >> min_bits) << (min_bits * 2));
else
swizzled |= ((y >> min_bits) << (min_bits * 2));
}
pvrtc4_block* pDst_block = static_cast<pvrtc4_block*>(pDst_blocks) + swizzled;
pDst_block->m_endpoints = pPVRTC_endpoints[block_index];
uint32_t base_r = g_etc_5_to_8[src_block.m_differential.m_red1];
uint32_t base_g = g_etc_5_to_8[src_block.m_differential.m_green1];
uint32_t base_b = g_etc_5_to_8[src_block.m_differential.m_blue1];
const int* pInten_table48 = g_etc1_inten_tables48[src_block.m_differential.m_cw1];
int by = (base_r + base_g + base_b) * 16;
int block_colors_y_x16[4];
block_colors_y_x16[0] = by + pInten_table48[2];
block_colors_y_x16[1] = by + pInten_table48[3];
block_colors_y_x16[2] = by + pInten_table48[1];
block_colors_y_x16[3] = by + pInten_table48[0];
{
const uint32_t ex = 2;
int bx = x + ex - 1;
bx &= x_mask;
#define DO_ROW(ey) \
{ \
const uint32_t e = pE_rows[ey][bx]; \
e0[ex][ey] = (get_opaque_endpoint_l0(e) * 255) / 31; \
e1[ex][ey] = (get_opaque_endpoint_l1(e) * 255) / 31; \
}
DO_ROW(0);
DO_ROW(1);
DO_ROW(2);
#undef DO_ROW
}
uint32_t mod = 0;
uint32_t lookup_x[4];
#define DO_LOOKUP(lx) { \
const uint32_t byte_ofs = 7 - (((lx) * 4) >> 3); \
const uint32_t lsb_bits = src_block.m_bytes[byte_ofs] >> (((lx) & 1) * 4); \
const uint32_t msb_bits = src_block.m_bytes[byte_ofs - 2] >> (((lx) & 1) * 4); \
lookup_x[lx] = (lsb_bits & 0xF) | ((msb_bits & 0xF) << 4); }
DO_LOOKUP(0);
DO_LOOKUP(1);
DO_LOOKUP(2);
DO_LOOKUP(3);
#undef DO_LOOKUP
#define DO_PIX(lx, ly, w0, w1, w2, w3) \
{ \
int ca_l = a0 * w0 + a1 * w1 + a2 * w2 + a3 * w3; \
int cb_l = b0 * w0 + b1 * w1 + b2 * w2 + b3 * w3; \
int cl = block_colors_y_x16[g_etc1_x_selector_unpack[ly][lookup_x[lx]]]; \
int dl = cb_l - ca_l; \
int vl = cl - ca_l; \
int p = vl * 16; \
if (ca_l > cb_l) { p = -p; dl = -dl; } \
uint32_t m = 0; \
if (p > 3 * dl) m = (uint32_t)(1 << ((ly) * 8 + (lx) * 2)); \
if (p > 8 * dl) m = (uint32_t)(2 << ((ly) * 8 + (lx) * 2)); \
if (p > 13 * dl) m = (uint32_t)(3 << ((ly) * 8 + (lx) * 2)); \
mod |= m; \
}
{
const uint32_t ex = 0, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 0, 4, 4, 4, 4);
DO_PIX(1, 0, 2, 6, 2, 6);
DO_PIX(0, 1, 2, 2, 6, 6);
DO_PIX(1, 1, 1, 3, 3, 9);
}
{
const uint32_t ex = 1, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 0, 8, 0, 8, 0);
DO_PIX(3, 0, 6, 2, 6, 2);
DO_PIX(2, 1, 4, 0, 12, 0);
DO_PIX(3, 1, 3, 1, 9, 3);
}
{
const uint32_t ex = 0, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 2, 8, 8, 0, 0);
DO_PIX(1, 2, 4, 12, 0, 0);
DO_PIX(0, 3, 6, 6, 2, 2);
DO_PIX(1, 3, 3, 9, 1, 3);
}
{
const uint32_t ex = 1, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 2, 16, 0, 0, 0);
DO_PIX(3, 2, 12, 4, 0, 0);
DO_PIX(2, 3, 12, 0, 4, 0);
DO_PIX(3, 3, 9, 3, 3, 1);
}
#undef DO_PIX
pDst_block->m_modulation = mod;
e0[0][0] = e0[1][0]; e0[1][0] = e0[2][0];
e0[0][1] = e0[1][1]; e0[1][1] = e0[2][1];
e0[0][2] = e0[1][2]; e0[1][2] = e0[2][2];
e1[0][0] = e1[1][0]; e1[1][0] = e1[2][0];
e1[0][1] = e1[1][1]; e1[1][1] = e1[2][1];
e1[0][2] = e1[1][2]; e1[1][2] = e1[2][2];
} // x
} // y
}
static void fixup_pvrtc1_4_modulation_rgba(
const decoder_etc_block* pETC_Blocks,
const uint32_t* pPVRTC_endpoints,
void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, void *pAlpha_blocks,
const endpoint* pEndpoints, const selector* pSelectors)
{
const uint32_t x_mask = num_blocks_x - 1;
const uint32_t y_mask = num_blocks_y - 1;
const uint32_t x_bits = basisu::total_bits(x_mask);
const uint32_t y_bits = basisu::total_bits(y_mask);
const uint32_t min_bits = basisu::minimum(x_bits, y_bits);
//const uint32_t max_bits = basisu::maximum(x_bits, y_bits);
const uint32_t swizzle_mask = (1 << (min_bits * 2)) - 1;
uint32_t block_index = 0;
// really 3x3
int e0[4][4], e1[4][4];
for (int y = 0; y < static_cast<int>(num_blocks_y); y++)
{
const uint32_t* pE_rows[3];
for (int ey = 0; ey < 3; ey++)
{
int by = y + ey - 1;
const uint32_t* pE = &pPVRTC_endpoints[(by & y_mask) * num_blocks_x];
pE_rows[ey] = pE;
for (int ex = 0; ex < 3; ex++)
{
int bx = 0 + ex - 1;
const uint32_t e = pE[bx & x_mask];
e0[ex][ey] = get_endpoint_l8(e, 0);
e1[ex][ey] = get_endpoint_l8(e, 1);
}
}
const uint32_t y_swizzle = (g_pvrtc_swizzle_table[y >> 8] << 16) | g_pvrtc_swizzle_table[y & 0xFF];
for (int x = 0; x < static_cast<int>(num_blocks_x); x++, block_index++)
{
const decoder_etc_block& src_block = pETC_Blocks[block_index];
const uint16_t* pSrc_alpha_block = reinterpret_cast<const uint16_t*>(static_cast<const uint32_t*>(pAlpha_blocks) + x + (y * num_blocks_x));
const endpoint* pAlpha_endpoints = &pEndpoints[pSrc_alpha_block[0]];
const selector* pAlpha_selectors = &pSelectors[pSrc_alpha_block[1]];
const uint32_t x_swizzle = (g_pvrtc_swizzle_table[x >> 8] << 17) | (g_pvrtc_swizzle_table[x & 0xFF] << 1);
uint32_t swizzled = x_swizzle | y_swizzle;
if (num_blocks_x != num_blocks_y)
{
swizzled &= swizzle_mask;
if (num_blocks_x > num_blocks_y)
swizzled |= ((x >> min_bits) << (min_bits * 2));
else
swizzled |= ((y >> min_bits) << (min_bits * 2));
}
pvrtc4_block* pDst_block = static_cast<pvrtc4_block*>(pDst_blocks) + swizzled;
pDst_block->m_endpoints = pPVRTC_endpoints[block_index];
uint32_t base_r = g_etc_5_to_8[src_block.m_differential.m_red1];
uint32_t base_g = g_etc_5_to_8[src_block.m_differential.m_green1];
uint32_t base_b = g_etc_5_to_8[src_block.m_differential.m_blue1];
const int* pInten_table48 = g_etc1_inten_tables48[src_block.m_differential.m_cw1];
int by = (base_r + base_g + base_b) * 16;
int block_colors_y_x16[4];
block_colors_y_x16[0] = basisu::clamp<int>(by + pInten_table48[0], 0, 48 * 255);
block_colors_y_x16[1] = basisu::clamp<int>(by + pInten_table48[1], 0, 48 * 255);
block_colors_y_x16[2] = basisu::clamp<int>(by + pInten_table48[2], 0, 48 * 255);
block_colors_y_x16[3] = basisu::clamp<int>(by + pInten_table48[3], 0, 48 * 255);
uint32_t alpha_base_g = g_etc_5_to_8[pAlpha_endpoints->m_color5.g] * 16;
const int* pInten_table16 = g_etc1_inten_tables16[pAlpha_endpoints->m_inten5];
int alpha_block_colors_x16[4];
alpha_block_colors_x16[0] = basisu::clamp<int>(alpha_base_g + pInten_table16[0], 0, 16 * 255);
alpha_block_colors_x16[1] = basisu::clamp<int>(alpha_base_g + pInten_table16[1], 0, 16 * 255);
alpha_block_colors_x16[2] = basisu::clamp<int>(alpha_base_g + pInten_table16[2], 0, 16 * 255);
alpha_block_colors_x16[3] = basisu::clamp<int>(alpha_base_g + pInten_table16[3], 0, 16 * 255);
// clamp((base_r + base_g + base_b) * 16 + color_inten[s] * 48) + clamp(alpha_base_g * 16 + alpha_inten[as] * 16)
{
const uint32_t ex = 2;
int bx = x + ex - 1;
bx &= x_mask;
#define DO_ROW(ey) \
{ \
const uint32_t e = pE_rows[ey][bx]; \
e0[ex][ey] = get_endpoint_l8(e, 0); \
e1[ex][ey] = get_endpoint_l8(e, 1); \
}
DO_ROW(0);
DO_ROW(1);
DO_ROW(2);
#undef DO_ROW
}
uint32_t mod = 0;
#define DO_PIX(lx, ly, w0, w1, w2, w3) \
{ \
int ca_l = a0 * w0 + a1 * w1 + a2 * w2 + a3 * w3; \
int cb_l = b0 * w0 + b1 * w1 + b2 * w2 + b3 * w3; \
int cl = block_colors_y_x16[(src_block.m_bytes[4 + ly] >> (lx * 2)) & 3] + alpha_block_colors_x16[(pAlpha_selectors->m_selectors[ly] >> (lx * 2)) & 3]; \
int dl = cb_l - ca_l; \
int vl = cl - ca_l; \
int p = vl * 16; \
if (ca_l > cb_l) { p = -p; dl = -dl; } \
uint32_t m = 0; \
if (p > 3 * dl) m = (uint32_t)(1 << ((ly) * 8 + (lx) * 2)); \
if (p > 8 * dl) m = (uint32_t)(2 << ((ly) * 8 + (lx) * 2)); \
if (p > 13 * dl) m = (uint32_t)(3 << ((ly) * 8 + (lx) * 2)); \
mod |= m; \
}
{
const uint32_t ex = 0, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 0, 4, 4, 4, 4);
DO_PIX(1, 0, 2, 6, 2, 6);
DO_PIX(0, 1, 2, 2, 6, 6);
DO_PIX(1, 1, 1, 3, 3, 9);
}
{
const uint32_t ex = 1, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 0, 8, 0, 8, 0);
DO_PIX(3, 0, 6, 2, 6, 2);
DO_PIX(2, 1, 4, 0, 12, 0);
DO_PIX(3, 1, 3, 1, 9, 3);
}
{
const uint32_t ex = 0, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 2, 8, 8, 0, 0);
DO_PIX(1, 2, 4, 12, 0, 0);
DO_PIX(0, 3, 6, 6, 2, 2);
DO_PIX(1, 3, 3, 9, 1, 3);
}
{
const uint32_t ex = 1, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 2, 16, 0, 0, 0);
DO_PIX(3, 2, 12, 4, 0, 0);
DO_PIX(2, 3, 12, 0, 4, 0);
DO_PIX(3, 3, 9, 3, 3, 1);
}
#undef DO_PIX
pDst_block->m_modulation = mod;
e0[0][0] = e0[1][0]; e0[1][0] = e0[2][0];
e0[0][1] = e0[1][1]; e0[1][1] = e0[2][1];
e0[0][2] = e0[1][2]; e0[1][2] = e0[2][2];
e1[0][0] = e1[1][0]; e1[1][0] = e1[2][0];
e1[0][1] = e1[1][1]; e1[1][1] = e1[2][1];
e1[0][2] = e1[1][2]; e1[1][2] = e1[2][2];
} // x
} // y
}
#endif // BASISD_SUPPORT_PVRTC1
#if BASISD_SUPPORT_BC7_MODE5
static dxt_selector_range g_etc1_to_bc7_m5_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 },
};
const uint32_t NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES = sizeof(g_etc1_to_bc7_m5_selector_ranges) / sizeof(g_etc1_to_bc7_m5_selector_ranges[0]);
static uint32_t g_etc1_to_bc7_m5_selector_range_index[4][4];
const uint32_t NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS = 10;
static const uint8_t g_etc1_to_bc7_m5_selector_mappings[NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS][4] =
{
{ 0, 0, 1, 1 },
{ 0, 0, 1, 2 },
{ 0, 0, 1, 3 },
{ 0, 0, 2, 3 },
{ 0, 1, 1, 1 },
{ 0, 1, 2, 2 },
{ 0, 1, 2, 3 },
{ 0, 2, 3, 3 },
{ 1, 2, 2, 2 },
{ 1, 2, 3, 3 },
};
struct etc1_to_bc7_m5_solution
{
uint8_t m_lo;
uint8_t m_hi;
uint16_t m_err;
};
static const etc1_to_bc7_m5_solution g_etc1_to_bc7_m5_color[32 * 8 * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS * NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_bc7_m5_color.inc ****/
{0,7,18},{0,5,2},{0,4,1},{0,3,8},{0,4,35},{0,3,24},{0,3,12},{0,2,29},{0,2,36},{0,2,30},{0,7,18},{0,5,2},{0,4,1},{0,3,8},{2,0,35},{0,3,24},{0,3,12},{0,2,29},{4,0,35},{0,2,29},{0,3,0},{0,3,0},{0,3,0},{0,1,1},{0,1,2},{0,1,2},{0,1,2},{0,1,1},{1,0,3},{0,1,2},{0,3,0},
{0,3,0},{0,3,0},{0,1,1},{1,0,2},{1,0,2},{1,0,2},{0,1,1},{1,0,2},{0,1,1},{4,0,18},{0,5,2},{0,4,1},{0,3,8},{4,0,18},{7,0,18},{0,3,8},{0,2,20},{7,0,18},{0,2,20},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,15,38},{2,11,20},{2,8,24},
{1,8,21},{0,16,51},{0,10,19},{0,8,2},{0,6,24},{0,8,76},{0,6,40},{3,13,18},{3,10,2},{3,8,1},{3,7,5},{8,0,51},{1,9,19},{0,8,2},{0,6,24},{16,0,51},{0,6,24},{2,11,20},{2,11,20},{2,11,20},{1,7,20},{0,12,8},{0,7,2},{0,7,2},{0,5,1},{0,5,19},{0,5,10},{3,9,0},{3,9,0},{3,9,0},{3,6,0},{6,0,8},
{1,7,0},{1,7,0},{0,5,1},{12,0,8},{0,5,1},{10,0,18},{2,11,0},{3,8,1},{0,8,1},{10,0,18},{20,0,18},{0,8,1},{0,6,20},{20,0,18},{0,6,20},{1,0,20},{1,0,20},{1,0,20},{1,0,20},{0,9,0},{0,9,0},{0,9,0},{0,4,1},{0,3,8},{0,3,8},{6,19,38},{6,15,20},{6,12,24},{5,12,21},{4,20,51},{4,14,19},{4,12,2},
{4,10,24},{0,14,52},{1,10,20},{7,17,18},{7,14,2},{7,12,1},{7,11,5},{14,0,51},{5,13,19},{4,12,2},{1,10,20},{29,0,51},{1,10,20},{6,15,20},{6,15,20},{6,15,20},{5,11,20},{4,16,8},{4,11,2},{4,11,2},{4,9,1},{0,12,8},{1,9,2},{7,13,0},{7,13,0},{7,13,0},{7,10,0},{12,0,8},{5,11,0},{5,11,0},{3,9,0},{24,0,8},
{3,9,0},{15,1,18},{6,15,0},{7,12,1},{3,12,0},{15,1,18},{32,0,18},{3,12,0},{0,10,20},{32,0,18},{0,10,20},{5,0,20},{5,0,20},{5,0,20},{5,0,20},{4,13,0},{4,13,0},{4,13,0},{4,8,1},{1,10,0},{1,10,0},{10,23,38},{10,19,20},{10,16,24},{9,16,21},{8,24,51},{8,18,19},{8,16,2},{8,14,24},{3,18,52},{5,14,20},{11,21,18},
{11,18,2},{11,16,1},{11,15,5},{20,0,51},{9,17,19},{8,16,2},{5,14,20},{41,0,51},{5,14,20},{10,19,20},{10,19,20},{10,19,20},{9,15,20},{8,20,8},{8,15,2},{8,15,2},{8,13,1},{4,16,8},{5,13,2},{11,17,0},{11,17,0},{11,17,0},{11,14,0},{18,0,8},{9,15,0},{9,15,0},{7,13,0},{36,0,8},{7,13,0},{21,1,18},{10,19,0},{11,16,1},
{7,16,0},{21,1,18},{44,0,18},{7,16,0},{0,14,20},{44,0,18},{0,14,20},{9,0,20},{9,0,20},{9,0,20},{9,0,20},{8,17,0},{8,17,0},{8,17,0},{8,12,1},{5,14,0},{5,14,0},{14,29,36},{14,24,18},{14,21,23},{14,20,20},{13,28,52},{13,22,20},{13,20,2},{12,19,23},{7,23,51},{9,19,18},{16,25,19},{15,23,1},{16,20,2},{15,20,6},{27,0,51},
{13,22,19},{13,20,1},{8,19,18},{55,0,51},{8,19,18},{14,24,18},{14,24,18},{14,24,18},{14,19,18},{13,23,9},{13,20,1},{13,20,1},{12,17,2},{9,20,8},{10,18,1},{16,20,1},{16,20,1},{16,20,1},{16,18,1},{24,1,8},{14,19,0},{14,19,0},{12,17,1},{50,0,8},{12,17,1},{28,0,18},{15,23,0},{16,20,1},{12,20,1},{28,0,18},{58,0,18},{12,20,1},
{0,19,18},{58,0,18},{0,19,18},{14,0,18},{14,0,18},{14,0,18},{14,0,18},{13,20,1},{13,20,1},{13,20,1},{12,17,1},{10,18,0},{10,18,0},{18,33,36},{18,28,18},{18,25,23},{18,24,20},{17,32,52},{17,26,20},{17,24,2},{16,23,23},{11,27,51},{13,23,18},{20,29,19},{19,27,1},{20,24,2},{19,24,6},{33,0,51},{17,26,19},{17,24,1},{12,23,18},{66,0,51},
{12,23,18},{18,28,18},{18,28,18},{18,28,18},{18,23,18},{17,27,9},{17,24,1},{17,24,1},{16,21,2},{13,24,8},{14,22,1},{20,24,1},{20,24,1},{20,24,1},{20,22,1},{30,1,8},{18,23,0},{18,23,0},{16,21,1},{62,0,8},{16,21,1},{34,0,18},{19,27,0},{20,24,1},{16,24,1},{34,0,18},{69,0,18},{16,24,1},{0,23,18},{69,0,18},{0,23,18},{18,0,18},
{18,0,18},{18,0,18},{18,0,18},{17,24,1},{17,24,1},{17,24,1},{16,21,1},{14,22,0},{14,22,0},{22,37,36},{22,32,18},{22,29,23},{22,28,20},{21,36,52},{21,30,20},{21,28,2},{20,27,23},{15,31,51},{17,27,18},{24,33,19},{23,31,1},{24,28,2},{23,28,6},{39,0,51},{21,30,19},{21,28,1},{16,27,18},{78,0,51},{16,27,18},{22,32,18},{22,32,18},{22,32,18},
{22,27,18},{21,31,9},{21,28,1},{21,28,1},{20,25,2},{17,28,8},{18,26,1},{24,28,1},{24,28,1},{24,28,1},{24,26,1},{36,1,8},{22,27,0},{22,27,0},{20,25,1},{74,0,8},{20,25,1},{40,0,18},{23,31,0},{24,28,1},{20,28,1},{40,0,18},{82,0,18},{20,28,1},{0,27,18},{82,0,18},{0,27,18},{22,0,18},{22,0,18},{22,0,18},{22,0,18},{21,28,1},
{21,28,1},{21,28,1},{20,25,1},{18,26,0},{18,26,0},{26,41,36},{26,36,18},{26,33,23},{26,32,20},{25,40,52},{25,34,20},{25,32,2},{24,31,23},{19,35,51},{21,31,18},{28,37,19},{27,35,1},{28,32,2},{27,32,6},{45,0,51},{25,34,19},{25,32,1},{20,31,18},{91,0,51},{20,31,18},{26,36,18},{26,36,18},{26,36,18},{26,31,18},{25,35,9},{25,32,1},{25,32,1},
{24,29,2},{21,32,8},{22,30,1},{28,32,1},{28,32,1},{28,32,1},{28,30,1},{42,1,8},{26,31,0},{26,31,0},{24,29,1},{86,0,8},{24,29,1},{46,0,18},{27,35,0},{28,32,1},{24,32,1},{46,0,18},{94,0,18},{24,32,1},{0,31,18},{94,0,18},{0,31,18},{26,0,18},{26,0,18},{26,0,18},{26,0,18},{25,32,1},{25,32,1},{25,32,1},{24,29,1},{22,30,0},
{22,30,0},{31,44,38},{31,40,20},{31,37,24},{30,37,21},{29,45,51},{29,39,19},{29,37,2},{29,35,24},{24,39,52},{26,35,20},{32,42,18},{32,39,2},{32,37,1},{32,36,5},{51,0,51},{30,38,19},{29,37,2},{26,35,20},{104,0,51},{26,35,20},{31,40,20},{31,40,20},{31,40,20},{30,36,20},{29,41,8},{29,36,2},{29,36,2},{29,34,1},{25,37,8},{26,34,2},{32,38,0},
{32,38,0},{32,38,0},{32,35,0},{49,0,8},{30,36,0},{30,36,0},{28,34,0},{100,0,8},{28,34,0},{53,0,18},{31,40,0},{32,37,1},{28,37,0},{53,0,18},{107,0,18},{28,37,0},{0,35,20},{107,0,18},{0,35,20},{30,0,20},{30,0,20},{30,0,20},{30,0,20},{29,38,0},{29,38,0},{29,38,0},{29,33,1},{26,35,0},{26,35,0},{35,48,38},{35,44,20},{35,41,24},
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{116,0,20},{116,0,20},{116,0,20},{115,124,0},{115,124,0},{115,124,0},{115,119,1},{112,121,0},{112,121,0},{122,126,86},{121,127,40},{121,127,24},{120,127,21},{121,127,88},{119,127,27},{119,127,2},{119,125,24},{116,127,60},{116,125,20},{123,127,30},{122,127,10},{122,127,1},{122,126,5},{127,119,51},{121,127,24},{119,127,2},{116,125,20},{127,123,51},{116,125,20},{121,127,24},{121,127,24},{121,127,24},
{120,126,20},{120,127,14},{119,126,2},{119,126,2},{119,124,1},{115,127,8},{116,124,2},{122,126,1},{122,126,1},{122,126,1},{122,125,0},{127,115,8},{120,126,0},{120,126,0},{118,124,0},{127,121,8},{118,124,0},{127,122,18},{124,127,8},{122,127,1},{118,127,0},{127,122,18},{126,125,18},{118,127,0},{0,125,20},{126,125,18},{0,125,20},{120,0,20},{120,0,20},{120,0,20},{120,0,20},{119,126,1},
{119,126,1},{119,126,1},{119,123,1},{116,125,0},{116,125,0},{125,126,38},{125,127,30},{125,127,29},{125,127,21},{125,126,35},{124,127,16},{124,127,12},{123,127,1},{122,127,20},{122,127,2},{126,127,2},{126,127,2},{126,127,1},{126,127,1},{127,125,3},{127,126,3},{125,127,2},{124,127,0},{127,126,3},{124,127,0},{125,126,29},{125,126,29},{125,126,29},{125,127,21},{124,127,24},{124,127,12},{124,127,12},
{123,127,1},{122,127,11},{122,127,2},{126,127,1},{126,127,1},{126,127,1},{126,127,1},{127,125,2},{127,126,2},{127,126,2},{124,127,0},{127,126,2},{124,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{124,0,20},{124,0,20},{124,0,20},{124,0,20},{124,127,8},{124,127,8},{124,127,8},{123,127,1},{122,127,2},
{122,127,2},{0,16,72},{0,11,8},{0,8,1},{0,7,25},{0,10,153},{0,8,97},{0,6,50},{0,4,115},{0,5,162},{0,4,124},{0,16,72},{0,11,8},{0,8,1},{0,7,25},{5,0,153},{0,8,97},{0,6,50},{0,4,115},{10,0,153},{0,4,115},{0,7,0},{0,7,0},{0,7,0},{0,4,0},{0,3,13},{0,2,5},{0,2,5},{0,1,10},{0,2,14},{0,1,11},{0,7,0},
{0,7,0},{0,7,0},{0,4,0},{2,0,13},{0,2,5},{0,2,5},{0,1,10},{3,0,13},{0,1,10},{8,0,72},{0,11,8},{0,8,1},{0,7,25},{8,0,72},{16,0,72},{0,7,25},{0,5,74},{16,0,72},{0,5,74},{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},{1,27,77},{1,18,5},{1,13,15},
{1,11,18},{0,21,243},{0,14,108},{0,11,29},{0,8,154},{0,9,287},{0,8,179},{2,25,73},{1,18,1},{2,12,6},{1,11,14},{10,1,243},{0,14,108},{0,11,29},{0,8,154},{21,0,243},{0,8,154},{1,17,5},{1,17,5},{1,17,5},{1,9,5},{0,12,50},{0,8,8},{0,8,8},{0,5,25},{0,5,61},{0,5,34},{2,15,1},{2,15,1},{2,15,1},{1,9,1},{6,0,50},
{0,8,8},{0,8,8},{0,5,25},{12,0,50},{0,5,25},{14,0,72},{1,18,0},{4,12,1},{0,12,10},{14,0,72},{29,0,72},{0,12,10},{0,9,74},{29,0,72},{0,9,74},{1,0,5},{1,0,5},{1,0,5},{1,0,5},{0,4,0},{0,4,0},{0,4,0},{0,2,0},{0,2,1},{0,2,1},{3,35,133},{3,24,63},{4,17,90},{3,16,66},{0,33,243},{0,19,75},{0,16,2},
{0,13,110},{0,14,345},{0,12,179},{6,29,73},{5,22,1},{6,16,6},{5,15,14},{16,0,243},{0,19,75},{0,16,2},{0,13,110},{33,0,243},{0,13,110},{3,26,61},{3,26,61},{3,26,61},{3,14,61},{0,24,50},{0,16,1},{0,16,1},{0,10,5},{0,11,101},{0,9,46},{6,19,1},{6,19,1},{6,19,1},{5,13,1},{12,0,50},{1,15,0},{1,15,0},{0,10,5},{24,0,50},
{0,10,5},{20,0,72},{5,22,0},{8,16,1},{0,16,2},{20,0,72},{41,0,72},{0,16,2},{0,13,74},{41,0,72},{0,13,74},{3,0,61},{3,0,61},{3,0,61},{3,0,61},{0,16,0},{0,16,0},{0,16,0},{0,8,0},{0,5,25},{0,5,25},{7,39,146},{7,28,76},{8,21,107},{6,20,79},{4,37,244},{4,23,76},{4,20,3},{3,16,107},{0,22,292},{0,17,106},{10,33,73},
{9,26,1},{10,20,6},{9,19,14},{22,0,243},{2,25,72},{4,20,2},{0,17,90},{45,0,243},{0,17,90},{7,30,74},{7,30,74},{7,30,74},{7,18,74},{4,28,51},{4,20,2},{4,20,2},{3,14,6},{0,17,68},{0,14,5},{10,23,1},{10,23,1},{10,23,1},{9,17,1},{18,0,50},{5,19,0},{5,19,0},{0,14,1},{36,0,50},{0,14,1},{26,0,72},{9,26,0},{12,20,1},
{3,20,1},{26,0,72},{53,0,72},{3,20,1},{0,17,74},{53,0,72},{0,17,74},{6,0,74},{6,0,74},{6,0,74},{6,0,74},{4,20,1},{4,20,1},{4,20,1},{4,12,1},{0,14,4},{0,14,4},{11,44,144},{11,32,76},{12,25,105},{11,24,77},{8,43,243},{8,28,75},{8,25,2},{8,21,105},{0,28,248},{1,22,76},{14,38,72},{14,30,1},{15,25,5},{14,24,13},{29,0,243},
{7,29,72},{8,25,2},{0,22,76},{59,0,243},{0,22,76},{11,35,72},{11,35,72},{11,35,72},{11,23,72},{8,34,50},{8,24,1},{8,24,1},{8,18,5},{1,24,51},{3,19,1},{14,29,0},{14,29,0},{14,29,0},{14,21,1},{24,1,50},{9,24,0},{9,24,0},{3,19,0},{50,0,50},{3,19,0},{33,0,72},{13,31,0},{16,25,0},{6,25,0},{33,0,72},{66,0,72},{6,25,0},
{0,22,72},{66,0,72},{0,22,72},{11,0,72},{11,0,72},{11,0,72},{11,0,72},{8,26,0},{8,26,0},{8,26,0},{8,17,0},{2,20,0},{2,20,0},{15,48,144},{15,36,76},{16,29,105},{15,28,77},{12,47,243},{12,32,75},{12,29,2},{12,25,105},{2,33,244},{5,26,76},{18,42,72},{18,34,1},{19,29,5},{18,28,13},{35,0,243},{11,33,72},{12,29,2},{1,26,72},{71,0,243},
{1,26,72},{15,39,72},{15,39,72},{15,39,72},{15,27,72},{12,38,50},{12,28,1},{12,28,1},{12,22,5},{5,28,51},{7,23,1},{18,33,0},{18,33,0},{18,33,0},{18,25,1},{30,1,50},{13,28,0},{13,28,0},{7,23,0},{62,0,50},{7,23,0},{39,0,72},{17,35,0},{20,29,0},{10,29,0},{39,0,72},{78,0,72},{10,29,0},{0,26,72},{78,0,72},{0,26,72},{15,0,72},
{15,0,72},{15,0,72},{15,0,72},{12,30,0},{12,30,0},{12,30,0},{12,21,0},{6,24,0},{6,24,0},{19,52,144},{19,40,76},{20,33,105},{19,32,77},{16,51,243},{16,36,75},{16,33,2},{16,29,105},{6,37,244},{9,30,76},{22,46,72},{22,38,1},{23,33,5},{22,32,13},{41,0,243},{15,37,72},{16,33,2},{5,30,72},{83,0,243},{5,30,72},{19,43,72},{19,43,72},{19,43,72},
{19,31,72},{16,42,50},{16,32,1},{16,32,1},{16,26,5},{9,32,51},{11,27,1},{22,37,0},{22,37,0},{22,37,0},{22,29,1},{36,1,50},{17,32,0},{17,32,0},{11,27,0},{74,0,50},{11,27,0},{45,0,72},{21,39,0},{24,33,0},{14,33,0},{45,0,72},{91,0,72},{14,33,0},{0,30,72},{91,0,72},{0,30,72},{19,0,72},{19,0,72},{19,0,72},{19,0,72},{16,34,0},
{16,34,0},{16,34,0},{16,25,0},{10,28,0},{10,28,0},{23,56,144},{23,44,76},{24,37,105},{23,36,77},{20,55,243},{20,40,75},{20,37,2},{20,33,105},{10,41,244},{13,34,76},{26,50,72},{26,42,1},{27,37,5},{26,36,13},{47,0,243},{19,41,72},{20,37,2},{9,34,72},{95,0,243},{9,34,72},{23,47,72},{23,47,72},{23,47,72},{23,35,72},{20,46,50},{20,36,1},{20,36,1},
{20,30,5},{13,36,51},{15,31,1},{26,41,0},{26,41,0},{26,41,0},{26,33,1},{42,1,50},{21,36,0},{21,36,0},{15,31,0},{86,0,50},{15,31,0},{50,1,72},{25,43,0},{28,37,0},{18,37,0},{50,1,72},{103,0,72},{18,37,0},{0,34,72},{103,0,72},{0,34,72},{23,0,72},{23,0,72},{23,0,72},{23,0,72},{20,38,0},{20,38,0},{20,38,0},{20,29,0},{14,32,0},
{14,32,0},{28,60,146},{28,49,76},{29,42,107},{27,41,79},{25,58,244},{25,44,76},{25,41,3},{24,37,107},{14,46,244},{17,38,76},{31,54,73},{30,47,1},{31,41,6},{30,40,14},{53,1,243},{23,46,72},{25,41,2},{15,38,74},{109,0,243},{15,38,74},{28,51,74},{28,51,74},{28,51,74},{28,39,74},{25,49,51},{25,41,2},{25,41,2},{24,35,6},{18,40,51},{19,36,1},{31,44,1},
{31,44,1},{31,44,1},{30,38,1},{49,0,50},{26,40,0},{26,40,0},{21,35,1},{100,0,50},{21,35,1},{57,0,72},{30,47,0},{33,41,1},{24,41,1},{57,0,72},{117,0,72},{24,41,1},{0,38,74},{117,0,72},{0,38,74},{27,0,74},{27,0,74},{27,0,74},{27,0,74},{25,41,1},{25,41,1},{25,41,1},{25,33,1},{19,36,0},{19,36,0},{32,64,146},{32,53,76},{33,46,107},
{31,45,79},{29,62,244},{29,48,76},{29,45,3},{28,41,107},{18,50,244},{21,42,76},{35,58,73},{34,51,1},{35,45,6},{34,44,14},{59,1,243},{27,50,72},{29,45,2},{19,42,74},{121,0,243},{19,42,74},{32,55,74},{32,55,74},{32,55,74},{32,43,74},{29,53,51},{29,45,2},{29,45,2},{28,39,6},{22,44,51},{23,40,1},{35,48,1},{35,48,1},{35,48,1},{34,42,1},{55,0,50},
{30,44,0},{30,44,0},{25,39,1},{112,0,50},{25,39,1},{63,0,72},{34,51,0},{37,45,1},{28,45,1},{63,0,72},{127,1,72},{28,45,1},{0,42,74},{127,1,72},{0,42,74},{31,0,74},{31,0,74},{31,0,74},{31,0,74},{29,45,1},{29,45,1},{29,45,1},{29,37,1},{23,40,0},{23,40,0},{36,67,146},{36,57,76},{37,50,107},{35,49,79},{33,66,244},{33,52,76},{33,49,3},
{32,45,107},{22,54,244},{25,46,76},{39,62,73},{38,55,1},{39,49,6},{38,48,14},{65,0,243},{31,54,72},{33,49,2},{23,46,74},{127,3,243},{23,46,74},{36,59,74},{36,59,74},{36,59,74},{36,47,74},{33,57,51},{33,49,2},{33,49,2},{32,43,6},{26,48,51},{27,44,1},{39,52,1},{39,52,1},{39,52,1},{38,46,1},{61,0,50},{34,48,0},{34,48,0},{29,43,1},{124,0,50},
{29,43,1},{69,0,72},{38,55,0},{41,49,1},{32,49,1},{69,0,72},{127,7,72},{32,49,1},{0,46,74},{127,7,72},{0,46,74},{35,0,74},{35,0,74},{35,0,74},{35,0,74},{33,49,1},{33,49,1},{33,49,1},{33,41,1},{27,44,0},{27,44,0},{40,71,146},{40,61,76},{41,54,107},{39,53,79},{37,70,244},{37,56,76},{37,53,3},{36,49,107},{26,58,244},{29,50,76},{43,65,73},
{42,59,1},{43,53,6},{42,52,14},{71,0,243},{35,58,72},{37,53,2},{27,50,74},{127,9,243},{27,50,74},{40,63,74},{40,63,74},{40,63,74},{40,51,74},{37,61,51},{37,53,2},{37,53,2},{36,47,6},{30,52,51},{31,48,1},{43,56,1},{43,56,1},{43,56,1},{42,50,1},{66,1,50},{38,52,0},{38,52,0},{33,47,1},{126,5,50},{33,47,1},{75,0,72},{42,59,0},{45,53,1},
{36,53,1},{75,0,72},{127,13,72},{36,53,1},{0,50,74},{127,13,72},{0,50,74},{39,0,74},{39,0,74},{39,0,74},{39,0,74},{37,53,1},{37,53,1},{37,53,1},{37,45,1},{31,48,0},{31,48,0},{44,77,144},{44,65,77},{45,58,105},{44,57,77},{41,75,243},{41,61,75},{41,58,2},{41,54,105},{31,62,244},{34,55,76},{47,71,72},{47,63,1},{48,58,5},{47,57,13},{78,0,243},
{40,62,72},{41,58,2},{30,55,72},{126,16,243},{30,55,72},{44,68,72},{44,68,72},{44,68,72},{44,56,72},{41,66,50},{41,57,1},{41,57,1},{41,51,5},{34,57,51},{36,52,1},{47,62,0},{47,62,0},{47,62,0},{47,54,1},{73,0,50},{42,57,0},{42,57,0},{36,52,0},{126,12,50},{36,52,0},{81,0,72},{47,63,1},{49,58,0},{39,58,0},{81,0,72},{126,20,72},{39,58,0},
{0,55,72},{126,20,72},{0,55,72},{44,0,72},{44,0,72},{44,0,72},{44,0,72},{41,59,0},{41,59,0},{41,59,0},{41,50,0},{35,53,0},{35,53,0},{48,81,144},{48,69,77},{49,62,105},{48,61,77},{45,79,243},{45,65,73},{45,62,2},{45,58,105},{34,67,243},{38,59,76},{51,75,72},{51,66,1},{52,62,5},{51,61,13},{83,1,243},{45,65,73},{45,62,2},{34,59,72},{126,22,243},
{34,59,72},{48,72,72},{48,72,72},{48,72,72},{48,60,72},{45,70,50},{45,61,1},{45,61,1},{45,55,5},{38,61,51},{40,56,1},{51,65,0},{51,65,0},{51,65,0},{51,58,1},{79,0,50},{46,61,0},{46,61,0},{40,56,0},{127,17,50},{40,56,0},{87,0,72},{51,66,1},{53,62,0},{43,62,0},{87,0,72},{126,26,72},{43,62,0},{0,59,72},{126,26,72},{0,59,72},{48,0,72},
{48,0,72},{48,0,72},{48,0,72},{45,63,0},{45,63,0},{45,63,0},{45,54,0},{39,57,0},{39,57,0},{52,85,144},{52,73,77},{53,67,105},{52,65,77},{49,83,243},{49,69,73},{49,65,2},{49,62,105},{38,71,243},{42,63,76},{55,79,72},{55,70,1},{55,66,5},{54,65,14},{89,1,243},{49,69,73},{49,65,2},{38,63,72},{126,28,243},{38,63,72},{52,76,72},{52,76,72},{52,76,72},
{52,63,73},{49,74,50},{49,65,1},{49,65,1},{49,59,5},{41,65,50},{44,60,1},{55,69,0},{55,69,0},{55,69,0},{55,62,1},{85,0,50},{50,64,1},{50,64,1},{44,60,0},{127,23,50},{44,60,0},{93,0,72},{55,70,1},{57,65,1},{48,65,1},{93,0,72},{126,32,72},{48,65,1},{0,63,72},{126,32,72},{0,63,72},{52,0,72},{52,0,72},{52,0,72},{52,0,72},{49,67,0},
{49,67,0},{49,67,0},{49,58,0},{43,61,0},{43,61,0},{56,89,144},{56,77,77},{57,71,105},{56,69,77},{53,87,243},{53,73,73},{53,69,2},{52,66,103},{42,75,243},{45,66,79},{59,83,72},{59,74,1},{59,70,5},{58,69,14},{95,1,243},{53,73,73},{53,69,2},{43,66,74},{126,34,243},{43,66,74},{56,80,72},{56,80,72},{56,80,72},{56,67,73},{53,78,50},{53,69,1},{53,69,1},
{53,63,5},{45,69,50},{47,64,2},{59,73,0},{59,73,0},{59,73,0},{59,66,0},{91,0,50},{55,67,1},{55,67,1},{47,64,1},{127,29,50},{47,64,1},{99,0,72},{59,74,1},{61,69,1},{52,69,1},{99,0,72},{126,38,72},{52,69,1},{0,66,74},{126,38,72},{0,66,74},{56,0,72},{56,0,72},{56,0,72},{56,0,72},{53,71,0},{53,71,0},{53,71,0},{53,62,0},{47,64,1},
{47,64,1},{61,92,146},{61,80,79},{61,75,103},{60,74,78},{58,91,244},{57,78,74},{58,74,2},{56,70,105},{47,79,243},{49,71,77},{63,88,73},{63,79,2},{64,74,5},{63,73,14},{102,0,243},{57,78,73},{58,74,1},{47,71,72},{126,41,243},{47,71,72},{61,83,74},{61,83,74},{61,83,74},{60,72,74},{58,82,51},{58,73,2},{58,73,2},{57,68,5},{50,73,50},{52,68,1},{63,79,1},
{63,79,1},{63,79,1},{63,71,1},{98,0,50},{59,72,1},{59,72,1},{53,68,0},{127,36,50},{53,68,0},{106,0,72},{63,79,1},{65,74,0},{56,74,0},{106,0,72},{127,44,72},{56,74,0},{0,71,72},{127,44,72},{0,71,72},{60,0,74},{60,0,74},{60,0,74},{60,0,74},{58,74,1},{58,74,1},{58,74,1},{57,66,1},{52,68,1},{52,68,1},{64,97,144},{64,85,76},{65,78,105},
{64,77,77},{62,95,244},{61,82,74},{62,78,2},{60,74,105},{51,83,243},{53,75,77},{67,91,72},{67,83,1},{68,78,5},{67,77,13},{108,0,243},{61,82,73},{62,78,1},{51,75,72},{125,47,243},{51,75,72},{64,88,72},{64,88,72},{64,88,72},{64,76,72},{62,86,51},{62,77,2},{62,77,2},{61,72,5},{54,77,50},{56,72,1},{67,82,0},{67,82,0},{67,82,0},{67,74,1},{104,0,50},
{63,76,1},{63,76,1},{57,72,0},{127,42,50},{57,72,0},{112,0,72},{66,84,0},{69,78,0},{60,78,0},{112,0,72},{127,50,72},{60,78,0},{0,75,72},{127,50,72},{0,75,72},{64,0,72},{64,0,72},{64,0,72},{64,0,72},{62,78,1},{62,78,1},{62,78,1},{61,70,1},{56,72,1},{56,72,1},{68,101,144},{68,89,76},{69,82,105},{68,81,77},{65,100,243},{65,85,75},{65,82,2},
{65,78,105},{55,87,243},{57,79,77},{71,95,72},{71,87,1},{72,82,5},{71,81,13},{114,0,243},{64,86,72},{65,82,2},{55,79,72},{127,52,243},{55,79,72},{68,92,72},{68,92,72},{68,92,72},{68,80,72},{65,91,50},{65,81,1},{65,81,1},{65,75,5},{58,81,50},{60,76,1},{71,86,0},{71,86,0},{71,86,0},{71,78,1},{110,0,50},{66,81,0},{66,81,0},{61,76,0},{126,48,50},
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{93,125,25},{111,127,414},{111,127,414},{111,127,414},{110,127,218},{109,127,371},{107,127,65},{107,127,65},{104,122,19},{96,127,203},{95,124,1},{117,127,61},{117,127,61},{117,127,61},{115,127,2},{127,102,162},{110,127,20},{110,127,20},{97,123,1},{127,115,162},{97,123,1},{127,121,25},{122,127,9},{122,127,0},{116,127,0},{127,121,25},{127,124,25},{116,127,0},{0,125,25},{127,124,25},{0,125,25},{109,0,202},
{109,0,202},{109,0,202},{109,0,202},{106,127,18},{106,127,18},{106,127,18},{105,119,1},{95,124,0},{95,124,0},{117,127,636},{117,127,516},{117,127,467},{115,127,282},{117,127,643},{111,127,241},{111,127,141},{108,126,18},{108,127,434},{99,127,2},{123,127,131},{121,127,105},{121,127,89},{119,127,26},{127,118,193},{119,127,86},{116,127,53},{101,127,0},{126,123,193},{101,127,0},{117,127,467},{117,127,467},{117,127,467},
{115,127,282},{114,127,410},{111,127,141},{111,127,141},{108,126,14},{105,127,254},{99,127,2},{121,127,89},{121,127,89},{121,127,89},{119,127,26},{127,113,145},{116,127,53},{116,127,53},{101,127,0},{127,120,145},{101,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{113,0,202},{113,0,202},{113,0,202},{113,0,202},{111,127,41},
{111,127,41},{111,127,41},{109,123,1},{101,126,2},{101,126,2},{120,127,412},{120,127,356},{120,127,331},{118,127,238},{120,127,387},{116,127,183},{116,127,134},{113,127,1},{113,127,262},{108,127,18},{124,127,41},{124,127,29},{124,127,25},{122,127,10},{127,122,54},{122,127,22},{122,127,13},{113,127,0},{126,125,54},{113,127,0},{120,127,331},{120,127,331},{120,127,331},{118,127,238},{117,127,266},{116,127,134},{116,127,134},
{113,127,1},{110,127,161},{108,127,18},{124,127,25},{124,127,25},{124,127,25},{122,127,10},{127,119,41},{122,127,13},{122,127,13},{113,127,0},{127,123,41},{113,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{117,0,202},{117,0,202},{117,0,202},{117,0,202},{114,127,73},{114,127,73},{114,127,73},{113,127,1},{108,127,18},
{108,127,18},{0,41,421},{0,28,41},{0,21,1},{0,18,157},{0,27,925},{0,19,569},{0,17,285},{0,12,701},{0,12,1005},{0,10,751},{0,41,421},{0,28,41},{0,21,1},{0,18,157},{13,1,925},{0,19,569},{0,17,285},{0,12,701},{27,0,925},{0,12,701},{0,20,0},{0,20,0},{0,20,0},{0,10,0},{0,9,85},{0,8,29},{0,8,29},{0,4,50},{0,5,94},{0,4,59},{0,20,0},
{0,20,0},{0,20,0},{0,10,0},{5,0,85},{0,8,29},{0,8,29},{0,4,50},{9,0,85},{0,4,50},{20,0,421},{0,28,41},{0,21,1},{0,18,157},{20,0,421},{41,0,421},{0,18,157},{0,14,421},{41,0,421},{0,14,421},{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},{0,53,421},{0,37,9},{1,25,17},
{0,21,113},{0,36,1261},{0,22,677},{0,20,305},{0,15,881},{0,17,1383},{0,13,971},{0,53,421},{0,37,9},{1,25,13},{0,21,113},{18,0,1261},{0,22,677},{0,20,305},{0,15,881},{36,0,1261},{0,15,881},{0,32,0},{0,32,0},{0,32,0},{0,15,1},{0,15,221},{0,11,85},{0,11,85},{0,7,130},{0,8,246},{0,7,155},{0,32,0},{0,32,0},{0,32,0},{0,15,1},{8,0,221},
{0,11,85},{0,11,85},{0,7,130},{15,0,221},{0,7,130},{26,0,421},{0,37,9},{3,25,1},{0,21,113},{26,0,421},{53,0,421},{0,21,113},{0,18,421},{53,0,421},{0,18,421},{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},{1,63,426},{1,42,6},{2,29,66},{0,27,74},{0,45,1514},{0,28,706},{0,25,258},
{0,18,974},{0,19,1706},{0,18,1118},{2,61,422},{1,42,2},{3,30,38},{0,27,74},{22,0,1514},{0,28,706},{0,25,258},{0,18,974},{45,0,1514},{0,18,974},{1,42,5},{1,42,5},{1,42,5},{1,21,5},{0,24,338},{0,19,90},{0,19,90},{0,10,181},{0,11,389},{0,10,230},{2,40,1},{2,40,1},{2,40,1},{1,21,1},{12,0,338},{0,19,90},{0,19,90},{0,10,181},{24,0,338},
{0,10,181},{32,0,421},{1,42,1},{7,29,1},{0,27,65},{32,0,421},{65,0,421},{0,27,65},{0,22,421},{65,0,421},{0,22,421},{1,0,5},{1,0,5},{1,0,5},{1,0,5},{0,4,0},{0,4,0},{0,4,0},{0,2,0},{0,2,1},{0,2,1},{3,71,482},{3,48,62},{4,34,158},{2,31,117},{0,58,1514},{0,37,594},{0,31,122},{0,23,881},{0,25,1818},{0,21,1086},{6,65,422},
{5,46,2},{7,34,38},{4,31,74},{28,0,1514},{0,37,594},{0,31,122},{0,23,881},{58,0,1514},{0,23,881},{3,50,61},{3,50,61},{3,50,61},{3,26,61},{0,36,338},{0,25,34},{0,25,34},{0,15,130},{0,17,461},{0,14,226},{6,44,1},{6,44,1},{6,44,1},{5,25,1},{18,0,338},{0,25,34},{0,25,34},{0,15,130},{36,0,338},{0,15,130},{38,0,421},{5,46,1},{11,33,1},
{0,32,40},{38,0,421},{77,0,421},{0,32,40},{0,26,421},{77,0,421},{0,26,421},{3,0,61},{3,0,61},{3,0,61},{3,0,61},{0,16,0},{0,16,0},{0,16,0},{0,8,0},{0,5,25},{0,5,25},{5,80,621},{5,55,213},{7,40,357},{5,35,241},{0,71,1514},{0,43,497},{0,36,29},{0,27,761},{0,31,1989},{0,26,1079},{10,70,421},{10,50,1},{11,38,41},{8,35,77},{35,0,1514},
{0,43,497},{0,36,29},{0,27,761},{71,0,1514},{0,27,761},{5,60,200},{5,60,200},{5,60,200},{5,32,200},{0,50,338},{0,34,4},{0,34,4},{0,21,80},{0,22,552},{0,19,244},{10,49,0},{10,49,0},{10,49,0},{10,29,0},{24,1,338},{0,34,4},{0,34,4},{0,21,80},{50,0,338},{0,21,80},{45,0,421},{10,50,1},{16,37,1},{0,36,13},{45,0,421},{91,0,421},{0,36,13},
{0,30,421},{91,0,421},{0,30,421},{5,0,200},{5,0,200},{5,0,200},{5,0,200},{0,30,0},{0,30,0},{0,30,0},{0,15,0},{0,11,74},{0,11,74},{7,89,813},{7,60,421},{10,43,617},{7,40,417},{0,83,1514},{0,51,446},{0,41,3},{0,32,686},{0,37,2165},{0,31,1101},{14,74,421},{14,54,1},{15,42,41},{12,39,77},{41,0,1514},{0,51,446},{0,41,3},{0,32,686},{83,0,1514},
{0,32,686},{7,67,392},{7,67,392},{7,67,392},{7,37,392},{0,62,338},{0,41,2},{0,41,2},{0,24,52},{0,28,680},{0,23,298},{14,53,0},{14,53,0},{14,53,0},{14,33,0},{30,1,338},{2,39,0},{2,39,0},{0,24,52},{62,0,338},{0,24,52},{51,0,421},{14,54,1},{20,41,1},{0,41,2},{51,0,421},{103,0,421},{0,41,2},{0,34,421},{103,0,421},{0,34,421},{7,0,392},
{7,0,392},{7,0,392},{7,0,392},{0,42,0},{0,42,0},{0,42,0},{0,21,0},{0,17,146},{0,17,146},{11,93,842},{11,65,453},{12,48,654},{11,44,446},{4,87,1515},{3,54,435},{4,45,4},{0,36,654},{0,43,2030},{0,35,882},{18,78,421},{18,58,1},{19,46,41},{16,43,77},{47,0,1514},{0,57,422},{4,45,3},{0,36,605},{95,0,1514},{0,36,605},{11,71,421},{11,71,421},{11,71,421},
{11,41,421},{4,66,339},{4,45,3},{4,45,3},{2,29,41},{0,34,581},{0,28,161},{18,57,0},{18,57,0},{18,57,0},{18,37,0},{36,1,338},{6,43,0},{6,43,0},{0,30,20},{74,0,338},{0,30,20},{57,0,421},{18,58,1},{24,45,1},{2,45,1},{57,0,421},{115,0,421},{2,45,1},{0,38,421},{115,0,421},{0,38,421},{11,0,421},{11,0,421},{11,0,421},{11,0,421},{4,46,1},
{4,46,1},{4,46,1},{3,25,1},{0,22,85},{0,22,85},{15,97,842},{16,67,453},{16,52,654},{15,48,446},{8,91,1515},{7,58,435},{8,49,4},{4,40,654},{0,51,1850},{0,40,682},{22,82,421},{22,62,1},{23,50,41},{20,47,77},{53,0,1514},{3,61,421},{8,49,3},{0,41,554},{107,0,1514},{0,41,554},{15,75,421},{15,75,421},{15,75,421},{15,45,421},{8,70,339},{8,49,3},{8,49,3},
{6,33,41},{0,40,477},{0,34,57},{22,61,0},{22,61,0},{22,61,0},{22,41,0},{42,1,338},{10,47,0},{10,47,0},{0,34,8},{86,0,338},{0,34,8},{63,0,421},{22,62,1},{28,49,1},{6,49,1},{63,0,421},{127,0,421},{6,49,1},{0,42,421},{127,0,421},{0,42,421},{15,0,421},{15,0,421},{15,0,421},{15,0,421},{8,50,1},{8,50,1},{8,50,1},{7,29,1},{0,31,29},
{0,31,29},{19,102,842},{20,71,451},{21,57,650},{19,52,446},{12,97,1514},{12,63,437},{12,54,2},{9,45,650},{0,57,1710},{0,45,530},{27,86,422},{26,67,1},{28,55,38},{25,52,74},{59,1,1514},{7,66,421},{12,54,2},{0,45,494},{121,0,1514},{0,45,494},{19,81,421},{19,81,421},{19,81,421},{19,49,422},{12,75,338},{12,54,2},{12,54,2},{11,38,38},{0,49,402},{0,39,6},{27,64,1},
{27,64,1},{27,64,1},{26,46,1},{49,0,338},{14,52,0},{14,52,0},{1,39,1},{100,0,338},{1,39,1},{69,0,421},{26,67,0},{32,54,1},{10,54,0},{69,0,421},{127,7,421},{10,54,0},{0,47,421},{127,7,421},{0,47,421},{19,0,421},{19,0,421},{19,0,421},{19,0,421},{12,56,0},{12,56,0},{12,56,0},{12,33,1},{0,38,5},{0,38,5},{23,106,842},{24,75,451},{25,61,650},
{23,56,446},{16,101,1514},{15,67,434},{16,58,2},{13,49,650},{0,64,1617},{0,50,462},{31,90,422},{30,71,1},{32,59,38},{29,56,74},{65,0,1514},{11,70,421},{16,58,2},{0,50,461},{127,3,1514},{0,50,461},{23,85,421},{23,85,421},{23,85,421},{23,53,422},{16,79,338},{16,58,2},{16,58,2},{15,42,38},{0,54,349},{3,43,2},{31,68,1},{31,68,1},{31,68,1},{30,50,1},{55,0,338},
{18,56,0},{18,56,0},{5,43,1},{112,0,338},{5,43,1},{75,0,421},{30,71,0},{36,58,1},{14,58,0},{75,0,421},{127,13,421},{14,58,0},{0,51,421},{127,13,421},{0,51,421},{23,0,421},{23,0,421},{23,0,421},{23,0,421},{16,60,0},{16,60,0},{16,60,0},{16,37,1},{3,43,1},{3,43,1},{27,110,842},{28,79,451},{30,64,650},{27,60,446},{20,105,1514},{19,71,434},{20,62,2},
{17,53,650},{0,70,1553},{1,54,450},{35,94,422},{34,75,1},{36,63,38},{33,60,74},{71,0,1514},{15,74,421},{20,62,2},{0,54,441},{127,9,1514},{0,54,441},{27,89,421},{27,89,421},{27,89,421},{27,57,422},{20,83,338},{20,62,2},{20,62,2},{19,46,38},{0,61,338},{7,47,2},{35,72,1},{35,72,1},{35,72,1},{34,54,1},{61,0,338},{22,60,0},{22,60,0},{9,47,1},{124,0,338},
{9,47,1},{81,0,421},{34,75,0},{40,62,1},{18,62,0},{81,0,421},{126,19,421},{18,62,0},{0,55,421},{126,19,421},{0,55,421},{27,0,421},{27,0,421},{27,0,421},{27,0,421},{20,64,0},{20,64,0},{20,64,0},{20,41,1},{7,47,1},{7,47,1},{31,114,842},{32,83,451},{33,67,650},{31,64,446},{24,109,1514},{23,75,434},{24,65,6},{21,57,650},{0,76,1521},{5,58,450},{39,98,422},
{38,79,1},{41,66,42},{37,63,81},{77,0,1514},{19,78,421},{25,65,2},{0,59,425},{127,15,1514},{0,59,425},{31,93,421},{31,93,421},{31,93,421},{31,61,422},{24,87,338},{24,64,5},{24,64,5},{23,50,38},{5,64,339},{11,51,2},{39,76,1},{39,76,1},{39,76,1},{38,58,1},{66,1,338},{25,64,1},{25,64,1},{13,51,1},{126,5,338},{13,51,1},{87,0,421},{38,79,0},{45,65,1},
{23,65,1},{87,0,421},{126,25,421},{23,65,1},{0,59,421},{126,25,421},{0,59,421},{31,0,421},{31,0,421},{31,0,421},{31,0,421},{24,67,0},{24,67,0},{24,67,0},{24,45,1},{11,51,1},{11,51,1},{36,118,842},{37,88,453},{38,72,646},{35,69,445},{29,112,1515},{27,79,438},{29,69,6},{25,61,654},{3,82,1515},{10,63,450},{43,103,421},{43,83,2},{45,70,41},{42,67,76},{83,1,1514},
{24,82,421},{29,69,5},{2,63,421},{126,22,1514},{2,63,421},{36,96,421},{36,96,421},{36,96,421},{36,65,421},{29,91,339},{29,69,2},{29,69,2},{27,54,41},{10,68,339},{15,56,1},{43,82,0},{43,82,0},{43,82,0},{43,62,0},{73,0,338},{31,67,1},{31,67,1},{16,56,0},{126,12,338},{16,56,0},{93,0,421},{42,84,0},{49,70,0},{26,70,0},{93,0,421},{126,32,421},{26,70,0},
{0,63,421},{126,32,421},{0,63,421},{36,0,421},{36,0,421},{36,0,421},{36,0,421},{29,71,1},{29,71,1},{29,71,1},{28,50,1},{15,56,1},{15,56,1},{40,122,842},{41,92,453},{42,76,646},{39,73,445},{33,116,1515},{31,83,438},{33,73,6},{30,64,650},{7,86,1515},{15,66,451},{47,107,421},{47,87,2},{49,74,41},{46,71,76},{89,1,1514},{28,86,421},{33,73,5},{5,67,421},{126,28,1514},
{5,67,421},{40,100,421},{40,100,421},{40,100,421},{40,69,421},{33,95,339},{33,73,2},{33,73,2},{31,58,41},{14,72,339},{19,60,1},{47,86,0},{47,86,0},{47,86,0},{47,66,0},{79,0,338},{35,71,1},{35,71,1},{20,60,0},{127,17,338},{20,60,0},{99,0,421},{46,88,0},{53,74,0},{30,74,0},{99,0,421},{126,38,421},{30,74,0},{0,67,421},{126,38,421},{0,67,421},{40,0,421},
{40,0,421},{40,0,421},{40,0,421},{33,75,1},{33,75,1},{33,75,1},{32,54,1},{19,60,1},{19,60,1},{44,126,842},{45,96,453},{46,80,646},{43,77,445},{37,120,1515},{35,87,438},{37,77,6},{34,68,650},{11,90,1515},{19,70,451},{51,111,421},{51,91,2},{53,78,41},{50,75,76},{95,1,1514},{32,90,421},{37,77,5},{9,71,421},{126,34,1514},{9,71,421},{44,104,421},{44,104,421},{44,104,421},
{44,73,421},{37,99,339},{37,77,2},{37,77,2},{35,62,41},{18,76,339},{23,64,1},{51,90,0},{51,90,0},{51,90,0},{51,70,0},{85,0,338},{39,75,1},{39,75,1},{23,64,1},{127,23,338},{23,64,1},{105,0,421},{50,92,0},{57,78,0},{34,78,0},{105,0,421},{126,44,421},{34,78,0},{0,71,421},{126,44,421},{0,71,421},{44,0,421},{44,0,421},{44,0,421},{44,0,421},{37,79,1},
{37,79,1},{37,79,1},{36,58,1},{23,64,0},{23,64,0},{48,126,854},{49,100,453},{50,84,646},{47,81,445},{41,124,1515},{39,91,438},{41,81,6},{38,72,650},{15,94,1515},{23,74,451},{55,115,421},{55,95,2},{57,82,41},{54,79,76},{101,1,1514},{36,94,421},{41,81,5},{13,75,421},{126,40,1514},{13,75,421},{48,108,421},{48,108,421},{48,108,421},{48,77,421},{41,103,339},{41,81,2},{41,81,2},
{40,65,42},{22,80,339},{27,68,1},{55,94,0},{55,94,0},{55,94,0},{55,74,0},{91,0,338},{43,79,1},{43,79,1},{29,67,1},{127,29,338},{29,67,1},{111,0,421},{54,96,0},{61,82,0},{38,82,0},{111,0,421},{127,49,421},{38,82,0},{0,75,421},{127,49,421},{0,75,421},{48,0,421},{48,0,421},{48,0,421},{48,0,421},{41,83,1},{41,83,1},{41,83,1},{40,62,1},{27,68,0},
{27,68,0},{53,127,886},{53,104,451},{54,88,650},{52,85,446},{46,126,1521},{44,96,434},{45,86,6},{43,77,646},{18,99,1515},{27,78,453},{60,119,422},{59,100,1},{62,87,42},{59,84,75},{108,0,1514},{40,99,421},{46,86,2},{18,79,421},{125,47,1514},{18,79,421},{52,114,421},{52,114,421},{52,114,421},{52,82,421},{45,108,338},{45,85,5},{45,85,5},{45,70,41},{26,85,339},{31,72,2},{60,97,1},
{60,97,1},{60,97,1},{60,78,1},{98,0,338},{48,83,1},{48,83,1},{33,72,0},{127,36,338},{33,72,0},{118,0,421},{59,100,0},{65,86,1},{44,86,1},{118,0,421},{127,56,421},{44,86,1},{0,79,421},{127,56,421},{0,79,421},{52,0,421},{52,0,421},{52,0,421},{52,0,421},{45,88,0},{45,88,0},{45,88,0},{45,66,0},{31,73,0},{31,73,0},{58,127,926},{57,108,451},{58,92,650},
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{52,87,1},{52,87,1},{37,76,0},{127,42,338},{37,76,0},{124,0,421},{63,104,0},{69,90,1},{48,90,1},{124,0,421},{127,62,421},{48,90,1},{0,83,421},{127,62,421},{0,83,421},{56,0,421},{56,0,421},{56,0,421},{56,0,421},{49,92,0},{49,92,0},{49,92,0},{49,70,0},{35,77,0},{35,77,0},{62,127,1010},{61,112,451},{62,96,650},{60,93,446},{56,127,1577},{52,104,434},{53,94,6},
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{72,99,38},{55,113,339},{60,101,1},{88,126,1},{88,126,1},{88,126,1},{87,107,1},{127,27,338},{75,113,0},{75,113,0},{62,100,1},{126,78,338},{62,100,1},{127,67,421},{89,126,5},{93,115,1},{71,115,0},{127,67,421},{127,98,421},{71,115,0},{0,108,421},{127,98,421},{0,108,421},{80,0,421},{80,0,421},{80,0,421},{80,0,421},{73,117,0},{73,117,0},{73,117,0},{73,94,1},{60,101,0},
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{36,92,5},{38,75,66},{34,71,165},{81,0,3048},{9,91,882},{17,74,10},{0,62,1053},{126,20,3048},{0,62,1053},{26,111,884},{26,111,884},{26,111,884},{26,67,884},{15,106,648},{16,73,9},{16,73,9},{13,52,68},{0,64,810},{0,54,26},{36,90,0},{36,90,0},{36,90,0},{36,63,0},{66,1,648},{20,69,1},{20,69,1},{0,54,1},{126,5,648},{0,54,1},{95,1,882},{35,93,1},{44,74,1},
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{31,68,66},{4,89,649},{12,70,5},{53,106,1},{53,106,1},{53,106,1},{52,79,1},{91,0,648},{36,86,1},{36,86,1},{15,70,0},{127,29,648},{15,70,0},{120,0,882},{51,110,1},{60,91,0},{27,91,0},{120,0,882},{127,58,882},{27,91,0},{0,80,884},{127,58,882},{0,80,884},{42,0,882},{42,0,882},{42,0,882},{42,0,882},{32,94,1},{32,94,1},{32,94,1},{31,63,1},{12,71,1},
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{57,111,0},{57,111,0},{57,83,0},{98,0,648},{41,90,1},{41,90,1},{21,74,1},{127,36,648},{21,74,1},{127,0,882},{56,114,1},{64,96,1},{33,95,1},{127,0,882},{126,65,882},{33,95,1},{0,85,882},{126,65,882},{0,85,882},{46,0,884},{46,0,884},{46,0,884},{46,0,884},{36,99,0},{36,99,0},{36,99,0},{36,67,0},{17,75,1},{17,75,1},{58,127,2792},{51,126,929},{54,102,1329},
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{63,100,70},{37,122,649},{45,103,5},{87,126,52},{87,126,52},{87,126,52},{85,112,0},{127,27,648},{68,120,0},{68,120,0},{48,103,0},{126,78,648},{48,103,0},{127,86,882},{96,127,232},{93,124,0},{60,124,0},{127,86,882},{127,107,882},{60,124,0},{0,113,884},{127,107,882},{0,113,884},{74,0,884},{74,0,884},{74,0,884},{74,0,884},{64,126,1},{64,126,1},{64,126,1},{64,95,0},{45,104,1},
{45,104,1},{88,127,4403},{84,127,2227},{82,127,1395},{78,125,922},{85,127,4875},{73,127,1326},{69,127,11},{65,115,1174},{54,127,3438},{44,116,802},{100,127,1746},{95,127,578},{92,127,89},{88,124,126},{127,69,2814},{79,127,1146},{71,127,4},{33,117,761},{126,99,2814},{33,117,761},{82,127,1395},{82,127,1395},{82,127,1395},{79,121,883},{77,127,1137},{69,127,11},{69,127,11},{67,106,67},{42,126,649},{50,108,2},{92,127,89},
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{0,75,1568},{127,50,1568},{0,75,1568},{23,0,1570},{23,0,1570},{23,0,1570},{23,0,1570},{10,93,1},{10,93,1},{10,93,1},{10,51,1},{0,51,232},{0,51,232},{35,127,5154},{29,127,1659},{31,97,2355},{27,90,1670},{26,127,6689},{12,111,1615},{14,92,18},{9,75,2353},{0,93,6751},{0,74,2541},{49,127,1955},{41,117,6},{44,95,122},{40,88,305},{99,0,5419},{6,115,1569},{14,92,17},{0,75,2020},{126,38,5419},
{0,75,2020},{29,127,1650},{29,127,1650},{29,127,1650},{28,83,1570},{15,127,1179},{14,92,14},{14,92,14},{12,62,122},{0,76,1713},{0,63,225},{42,113,1},{42,113,1},{42,113,1},{41,77,1},{79,0,1152},{19,87,1},{19,87,1},{0,64,20},{127,17,1152},{0,64,20},{118,0,1568},{39,119,1},{52,93,0},{8,93,0},{118,0,1568},{127,56,1568},{8,93,0},{0,79,1568},{127,56,1568},{0,79,1568},{27,0,1570},
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{23,98,2666},{12,127,2853},{5,109,14},{5,109,14},{3,69,259},{0,76,4147},{0,64,1475},{44,127,61},{44,127,61},{44,127,61},{41,89,1},{85,0,2178},{10,104,1},{10,104,1},{0,69,202},{127,23,2178},{0,69,202},{127,19,2665},{54,127,260},{56,110,0},{0,110,0},{127,19,2665},{127,74,2665},{0,110,0},{0,92,2665},{127,74,2665},{0,92,2665},{23,0,2665},{23,0,2665},{23,0,2665},{23,0,2665},{5,114,1},
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{0,126,13},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{49,0,9250},{49,0,9250},{49,0,9250},{49,0,9250},{29,127,2665},{29,127,2665},{29,127,2665},{16,116,1},{0,108,2041},{0,108,2041},{61,127,65535},{46,127,47079},{38,127,31046},{33,127,19370},{58,127,65535},{34,127,28647},{25,127,8458},{19,126,78},{2,127,51393},{0,122,9105},{106,127,3012},
{100,127,2296},{100,127,1972},{90,127,612},{127,86,4267},{87,127,2028},{76,127,1210},{5,127,0},{127,107,4267},{5,127,0},{65,127,17289},{65,127,17289},{65,127,17289},{57,127,11462},{55,127,14739},{40,127,6374},{40,127,6374},{18,125,50},{2,127,8937},{0,122,1881},{100,127,1972},{100,127,1972},{100,127,1972},{90,127,612},{127,66,3200},{76,127,1210},{76,127,1210},{5,127,0},{127,97,3200},{5,127,0},{127,127,0},{127,127,0},{127,127,0},
{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{53,0,9250},{53,0,9250},{53,0,9250},{53,0,9250},{35,127,2897},{35,127,2897},{35,127,2897},{20,120,1},{0,116,1693},{0,116,1693},{65,127,65535},{48,127,44233},{41,127,29640},{37,127,18961},{61,127,65535},{40,127,26823},{30,127,8416},{24,127,9},{8,127,47133},{0,122,6081},{109,127,2377},{103,127,1809},{103,127,1553},{96,127,481},{127,90,3361},
{90,127,1593},{84,127,953},{19,127,0},{127,109,3361},{19,127,0},{71,127,16331},{71,127,16331},{71,127,16331},{63,127,11212},{61,127,13721},{46,127,6266},{46,127,6266},{24,126,8},{5,127,8245},{0,125,1397},{103,127,1553},{103,127,1553},{103,127,1553},{96,127,481},{127,72,2521},{84,127,953},{84,127,953},{19,127,0},{127,100,2521},{19,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},
{0,127,0},{127,127,0},{0,127,0},{58,0,9248},{58,0,9248},{58,0,9248},{58,0,9248},{41,127,3181},{41,127,3181},{41,127,3181},{24,125,0},{0,125,1381},{0,125,1381},{65,127,65535},{51,127,41789},{44,127,28480},{40,127,18673},{65,127,65535},{43,127,25251},{34,127,8410},{28,127,4},{14,127,43557},{0,125,4005},{111,127,1843},{106,127,1421},{106,127,1225},{99,127,373},{127,95,2646},{96,127,1241},{90,127,745},{31,127,0},{127,111,2646},
{31,127,0},{74,127,15539},{74,127,15539},{74,127,15539},{64,127,10979},{65,127,12914},{51,127,6216},{51,127,6216},{28,127,4},{11,127,7709},{0,126,1217},{106,127,1225},{106,127,1225},{106,127,1225},{99,127,373},{127,78,1985},{90,127,745},{90,127,745},{31,127,0},{127,103,1985},{31,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{62,0,9248},
{62,0,9248},{62,0,9248},{62,0,9248},{44,127,3425},{44,127,3425},{44,127,3425},{28,127,4},{0,125,1205},{0,125,1205},{68,127,65535},{54,127,39465},{49,127,27209},{46,127,18393},{65,127,64563},{46,127,23799},{38,127,8426},{32,127,64},{14,127,40437},{0,125,2677},{111,127,1411},{111,127,1070},{109,127,937},{102,127,281},{127,99,2017},{99,127,937},{93,127,565},{43,127,0},{126,114,2017},{43,127,0},{77,127,14795},{77,127,14795},{77,127,14795},
{70,127,10779},{68,127,12146},{54,127,6176},{54,127,6176},{34,127,52},{14,127,7281},{2,127,1213},{109,127,937},{109,127,937},{109,127,937},{102,127,281},{127,84,1513},{93,127,565},{93,127,565},{43,127,0},{127,106,1513},{43,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{65,0,9250},{65,0,9250},{65,0,9250},{65,0,9250},{49,127,3656},
{49,127,3656},{49,127,3656},{34,127,52},{2,127,1213},{2,127,1213},{71,127,63180},{60,127,37225},{52,127,26137},{48,127,18128},{68,127,59595},{51,127,22636},{42,127,8480},{37,127,164},{22,127,37455},{0,126,2073},{114,127,1019},{111,127,766},{111,127,666},{105,127,205},{127,102,1473},{102,127,681},{99,127,405},{56,127,0},{127,115,1473},{56,127,0},{79,127,14066},{79,127,14066},{79,127,14066},{73,127,10571},{71,127,11450},{59,127,6166},{59,127,6166},
{37,127,148},{25,127,6914},{5,127,1413},{111,127,666},{111,127,666},{111,127,666},{105,127,205},{127,90,1105},{99,127,405},{99,127,405},{56,127,0},{127,109,1105},{56,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{69,0,9250},{69,0,9250},{69,0,9250},{69,0,9250},{52,127,3940},{52,127,3940},{52,127,3940},{37,127,148},{5,127,1413},
{5,127,1413},
/**** ended inlining basisu_transcoder_tables_bc7_m5_color.inc ****/
};
static dxt_selector_range g_etc1_to_bc7_m5a_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 }
};
const uint32_t NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES = sizeof(g_etc1_to_bc7_m5a_selector_ranges) / sizeof(g_etc1_to_bc7_m5a_selector_ranges[0]);
static uint32_t g_etc1_to_bc7_m5a_selector_range_index[4][4];
struct etc1_g_to_bc7_m5a_conversion
{
uint8_t m_lo, m_hi;
uint8_t m_trans;
};
static etc1_g_to_bc7_m5a_conversion g_etc1_g_to_bc7_m5a[8 * 32 * NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES] =
{
/**** start inlining basisu_transcoder_tables_bc7_m5_alpha.inc ****/
{7,0,47},{7,0,44},{2,0,15},{2,0,12},{8,2,48},{0,0,0},{15,0,27},{15,1,24},{9,0,7},{15,1,24},{23,3,96},{6,0,3},{24,7,27},{24,7,24},{18,3,6},{18,5,4},{24,5,16},{21,1,6},{32,15,27},{32,15,24},{26,11,6},{26,13,4},{32,13,16},{22,3,1},{41,24,27},{41,24,24},{35,20,6},{35,22,4},{41,22,16},{31,12,1},{49,32,27},
{49,32,24},{43,28,6},{43,30,4},{49,30,16},{39,20,1},{57,40,27},{57,40,24},{51,36,6},{51,38,4},{57,38,16},{47,28,1},{65,48,27},{65,48,24},{59,44,6},{59,46,4},{65,46,16},{55,36,1},{74,57,27},{74,57,24},{68,53,6},{68,55,4},{74,55,16},{64,45,1},{82,65,27},{82,65,24},{76,61,6},{76,63,4},{82,63,16},{72,53,1},{90,73,27},{90,73,24},{84,69,6},
{84,71,4},{90,71,16},{80,61,1},{98,81,27},{98,81,24},{92,77,6},{92,79,4},{98,79,16},{88,69,1},{107,90,27},{107,90,24},{101,86,6},{101,88,4},{107,88,16},{97,78,1},{115,98,27},{115,98,24},{109,94,6},{109,96,4},{115,96,16},{105,86,1},{123,106,27},{123,106,24},{117,102,6},{117,104,4},{123,104,16},{113,94,1},{131,114,27},{131,114,24},{125,110,6},{125,112,4},{131,112,16},
{121,102,1},{140,123,27},{140,123,24},{134,119,6},{134,121,4},{140,121,16},{130,111,1},{148,131,27},{148,131,24},{142,127,6},{142,129,4},{148,129,16},{138,119,1},{156,139,27},{156,139,24},{150,135,6},{150,137,4},{156,137,16},{146,127,1},{164,147,27},{164,147,24},{158,143,6},{158,145,4},{164,145,16},{154,135,1},{173,156,27},{173,156,24},{167,152,6},{167,154,4},{173,154,16},{163,144,1},{181,164,27},
{181,164,24},{175,160,6},{175,162,4},{181,162,16},{171,152,1},{189,172,27},{189,172,24},{183,168,6},{183,170,4},{189,170,16},{179,160,1},{197,180,27},{197,180,24},{191,176,6},{191,178,4},{197,178,16},{187,168,1},{206,189,27},{206,189,24},{200,185,6},{200,187,4},{206,187,16},{196,177,1},{214,197,27},{214,197,24},{208,193,6},{208,195,4},{214,195,16},{204,185,1},{222,205,27},{222,205,24},{216,201,6},
{216,203,4},{222,203,16},{212,193,1},{230,213,27},{230,213,24},{224,209,6},{224,211,4},{230,211,16},{220,201,1},{239,222,27},{239,222,24},{233,218,6},{233,220,4},{239,220,16},{229,210,1},{247,230,27},{247,230,24},{241,226,6},{241,228,4},{247,228,16},{237,218,1},{255,238,27},{255,238,24},{249,234,6},{249,236,4},{255,236,16},{245,226,1},{255,247,7},{255,248,4},{255,247,7},{255,248,4},{255,0,0},
{253,234,1},{16,0,47},{16,0,44},{5,0,15},{5,0,12},{17,5,48},{0,0,0},{37,1,111},{36,2,108},{13,0,11},{13,3,12},{37,1,96},{3,0,3},{33,0,27},{33,0,24},{31,0,27},{31,1,24},{45,9,96},{11,0,3},{40,7,27},{41,8,24},{39,7,27},{29,0,4},{41,3,16},{19,1,2},{49,16,27},{50,17,24},{38,5,6},{38,6,4},{50,12,16},{40,4,6},{57,24,27},
{58,25,24},{46,13,6},{46,14,4},{58,20,16},{36,0,1},{65,32,27},{66,33,24},{54,21,6},{54,22,4},{66,28,16},{44,6,1},{73,40,27},{74,41,24},{62,29,6},{62,30,4},{74,36,16},{52,14,1},{82,49,27},{83,50,24},{71,38,6},{71,39,4},{83,45,16},{61,23,1},{90,57,27},{91,58,24},{79,46,6},{79,47,4},{91,53,16},{69,31,1},{98,65,27},{99,66,24},{87,54,6},
{87,55,4},{99,61,16},{77,39,1},{106,73,27},{107,74,24},{95,62,6},{95,63,4},{107,69,16},{85,47,1},{115,82,27},{116,83,24},{104,71,6},{104,72,4},{116,78,16},{94,56,1},{123,90,27},{124,91,24},{112,79,6},{112,80,4},{124,86,16},{102,64,1},{131,98,27},{132,99,24},{120,87,6},{120,88,4},{132,94,16},{110,72,1},{139,106,27},{140,107,24},{128,95,6},{128,96,4},{140,102,16},
{118,80,1},{148,115,27},{149,116,24},{137,104,6},{137,105,4},{149,111,16},{127,89,1},{156,123,27},{157,124,24},{145,112,6},{145,113,4},{157,119,16},{135,97,1},{164,131,27},{165,132,24},{153,120,6},{153,121,4},{165,127,16},{143,105,1},{172,139,27},{173,140,24},{161,128,6},{161,129,4},{173,135,16},{151,113,1},{181,148,27},{182,149,24},{170,137,6},{170,138,4},{182,144,16},{160,122,1},{189,156,27},
{190,157,24},{178,145,6},{178,146,4},{190,152,16},{168,130,1},{197,164,27},{198,165,24},{186,153,6},{186,154,4},{198,160,16},{176,138,1},{205,172,27},{206,173,24},{194,161,6},{194,162,4},{206,168,16},{184,146,1},{214,181,27},{215,182,24},{203,170,6},{203,171,4},{215,177,16},{193,155,1},{222,189,27},{223,190,24},{211,178,6},{211,179,4},{223,185,16},{201,163,1},{230,197,27},{231,198,24},{219,186,6},
{219,187,4},{231,193,16},{209,171,1},{238,205,27},{239,206,24},{227,194,6},{227,195,4},{239,201,16},{217,179,1},{247,214,27},{248,215,24},{236,203,6},{236,204,4},{248,210,16},{226,188,1},{255,222,27},{255,222,24},{244,211,6},{244,212,4},{255,220,16},{234,196,1},{254,218,6},{255,242,28},{252,219,6},{252,220,4},{255,245,16},{242,204,1},{255,238,7},{255,239,4},{255,238,7},{255,239,4},{255,0,0},
{250,212,1},{28,0,47},{28,0,44},{9,0,15},{9,0,12},{29,9,48},{0,0,0},{53,0,111},{53,0,108},{17,0,15},{17,0,12},{37,7,32},{0,0,0},{66,3,111},{63,7,108},{25,0,11},{25,7,12},{65,5,96},{7,0,3},{51,0,27},{71,15,108},{47,0,27},{33,6,8},{73,13,96},{15,0,3},{61,4,27},{80,24,108},{61,4,27},{60,6,24},{62,0,16},{24,4,3},{69,12,27},
{88,32,108},{69,12,27},{68,14,24},{70,8,16},{32,2,2},{77,20,27},{96,40,108},{58,2,6},{58,2,4},{78,16,16},{60,0,6},{85,28,27},{104,48,108},{66,10,6},{66,10,4},{86,24,16},{68,8,6},{94,37,27},{113,57,108},{75,19,6},{75,19,4},{95,33,16},{77,17,6},{102,45,27},{121,65,108},{83,27,6},{83,27,4},{103,41,16},{65,3,1},{110,53,27},{129,73,108},{91,35,6},
{91,35,4},{111,49,16},{73,11,1},{118,61,27},{137,81,108},{99,43,6},{99,43,4},{119,57,16},{81,19,1},{127,70,27},{146,90,108},{108,52,6},{108,52,4},{128,66,16},{90,28,1},{135,78,27},{154,98,108},{116,60,6},{116,60,4},{136,74,16},{98,36,1},{143,86,27},{162,106,108},{124,68,6},{124,68,4},{144,82,16},{106,44,1},{151,94,27},{170,114,108},{132,76,6},{132,76,4},{152,90,16},
{114,52,1},{160,103,27},{179,123,108},{141,85,6},{141,85,4},{161,99,16},{123,61,1},{168,111,27},{187,131,108},{149,93,6},{149,93,4},{169,107,16},{131,69,1},{176,119,27},{195,139,108},{157,101,6},{157,101,4},{177,115,16},{139,77,1},{184,127,27},{203,147,108},{165,109,6},{165,109,4},{185,123,16},{147,85,1},{193,136,27},{212,156,108},{174,118,6},{174,118,4},{194,132,16},{156,94,1},{201,144,27},
{220,164,108},{182,126,6},{182,126,4},{202,140,16},{164,102,1},{209,152,27},{228,172,108},{190,134,6},{190,134,4},{210,148,16},{172,110,1},{217,160,27},{236,180,108},{198,142,6},{198,142,4},{218,156,16},{180,118,1},{226,169,27},{245,189,108},{207,151,6},{207,151,4},{227,165,16},{189,127,1},{234,177,27},{253,197,108},{215,159,6},{215,159,4},{235,173,16},{197,135,1},{242,185,27},{243,186,24},{223,167,6},
{223,167,4},{243,181,16},{205,143,1},{250,193,27},{251,194,24},{231,175,6},{231,175,4},{251,189,16},{213,151,1},{255,203,27},{255,206,24},{240,184,6},{240,184,4},{255,208,16},{222,160,1},{251,188,6},{255,230,28},{248,192,6},{248,192,4},{255,233,16},{230,168,1},{255,200,6},{255,202,4},{255,200,6},{255,202,4},{255,0,0},{238,176,1},{255,226,7},{255,227,4},{255,226,7},{255,227,4},{255,0,0},
{246,184,1},{41,0,47},{41,0,44},{13,0,15},{13,0,12},{42,13,48},{0,0,0},{71,0,111},{71,0,108},{21,0,15},{21,0,12},{50,7,32},{0,0,0},{86,1,111},{85,2,108},{29,1,15},{29,3,12},{87,0,96},{3,0,3},{96,6,111},{93,10,108},{37,0,11},{37,11,12},{95,8,96},{11,0,3},{71,0,27},{102,19,108},{68,0,27},{46,7,8},{104,17,96},{20,0,3},{82,0,27},
{110,27,108},{81,0,27},{80,2,24},{112,25,96},{28,0,3},{91,7,27},{118,35,108},{91,7,27},{88,10,24},{91,2,16},{36,7,3},{99,15,27},{126,43,108},{99,15,27},{96,18,24},{99,10,16},{44,1,2},{108,24,27},{135,52,108},{108,24,27},{79,0,4},{108,19,16},{53,10,2},{116,32,27},{143,60,108},{87,5,6},{87,7,4},{116,27,16},{90,3,6},{124,40,27},{151,68,108},{95,13,6},
{95,15,4},{124,35,16},{98,11,6},{132,48,27},{159,76,108},{103,21,6},{103,23,4},{132,43,16},{106,19,6},{141,57,27},{168,85,108},{112,30,6},{112,32,4},{141,52,16},{115,28,6},{149,65,27},{176,93,108},{120,38,6},{120,40,4},{149,60,16},{94,5,1},{157,73,27},{184,101,108},{128,46,6},{128,48,4},{157,68,16},{102,13,1},{165,81,27},{192,109,108},{136,54,6},{136,56,4},{165,76,16},
{110,21,1},{174,90,27},{201,118,108},{145,63,6},{145,65,4},{174,85,16},{119,30,1},{182,98,27},{209,126,108},{153,71,6},{153,73,4},{182,93,16},{127,38,1},{190,106,27},{217,134,108},{161,79,6},{161,81,4},{190,101,16},{135,46,1},{198,114,27},{225,142,108},{169,87,6},{169,89,4},{198,109,16},{143,54,1},{207,123,27},{234,151,108},{178,96,6},{178,98,4},{207,118,16},{152,63,1},{215,131,27},
{242,159,108},{186,104,6},{186,106,4},{215,126,16},{160,71,1},{223,139,27},{250,167,108},{194,112,6},{194,114,4},{223,134,16},{168,79,1},{231,147,27},{231,147,24},{202,120,6},{202,122,4},{231,142,16},{176,87,1},{240,156,27},{240,156,24},{211,129,6},{211,131,4},{240,151,16},{185,96,1},{248,164,27},{248,164,24},{219,137,6},{219,139,4},{248,159,16},{193,104,1},{254,173,27},{255,174,24},{227,145,6},
{227,147,4},{255,169,16},{201,112,1},{255,182,27},{255,187,24},{235,153,6},{235,155,4},{255,193,16},{209,120,1},{249,159,6},{255,218,28},{244,162,6},{244,164,4},{255,220,16},{218,129,1},{254,169,6},{254,168,4},{252,170,6},{252,172,4},{255,245,16},{226,137,1},{255,184,6},{255,190,4},{255,184,6},{255,190,4},{255,0,0},{234,145,1},{255,213,7},{255,214,4},{255,213,7},{255,214,4},{255,0,0},
{242,153,1},{59,0,47},{59,0,44},{18,0,15},{18,0,12},{60,18,48},{0,0,0},{69,0,47},{68,2,44},{26,0,15},{26,0,12},{68,5,32},{0,0,0},{111,0,111},{111,0,108},{34,0,15},{34,0,12},{76,13,32},{0,0,0},{123,3,111},{122,5,108},{42,3,15},{42,6,12},{125,1,96},{6,0,3},{135,8,111},{131,14,108},{50,0,11},{51,15,12},{134,10,96},{15,0,3},{95,0,27},
{139,22,108},{59,2,11},{59,5,8},{142,18,96},{23,0,3},{105,0,27},{147,30,108},{99,0,27},{67,13,8},{150,26,96},{31,0,3},{115,0,27},{155,38,108},{113,1,27},{110,4,24},{158,34,96},{39,0,3},{125,7,27},{164,47,108},{125,7,27},{119,13,24},{167,43,96},{48,6,3},{133,15,27},{172,55,108},{133,15,27},{127,21,24},{134,5,16},{56,14,3},{141,23,27},{180,63,108},{141,23,27},
{135,29,24},{142,13,16},{64,1,2},{149,31,27},{188,71,108},{149,31,27},{143,37,24},{150,21,16},{72,9,2},{158,40,27},{197,80,108},{118,1,6},{117,6,4},{159,30,16},{120,0,6},{166,48,27},{205,88,108},{126,9,6},{125,14,4},{167,38,16},{130,6,6},{174,56,27},{213,96,108},{134,17,6},{133,22,4},{175,46,16},{138,14,6},{182,64,27},{221,104,108},{142,25,6},{141,30,4},{183,54,16},
{146,22,6},{191,73,27},{230,113,108},{151,34,6},{150,39,4},{192,63,16},{155,31,6},{199,81,27},{238,121,108},{159,42,6},{158,47,4},{200,71,16},{163,39,6},{207,89,27},{246,129,108},{167,50,6},{166,55,4},{208,79,16},{130,1,1},{215,97,27},{254,137,108},{175,58,6},{174,63,4},{216,87,16},{138,9,1},{224,106,27},{224,106,24},{184,67,6},{183,72,4},{225,96,16},{147,18,1},{232,114,27},
{232,114,24},{192,75,6},{191,80,4},{233,104,16},{155,26,1},{240,122,27},{240,122,24},{200,83,6},{199,88,4},{241,112,16},{163,34,1},{248,130,27},{248,130,24},{208,91,6},{207,96,4},{249,120,16},{171,42,1},{255,140,27},{254,142,24},{217,100,6},{216,105,4},{255,135,16},{180,51,1},{255,149,27},{255,156,24},{225,108,6},{224,113,4},{255,159,16},{188,59,1},{255,159,27},{253,196,28},{233,116,6},
{232,121,4},{255,184,16},{196,67,1},{247,120,6},{255,205,28},{241,124,6},{240,129,4},{255,208,16},{204,75,1},{252,132,6},{252,132,4},{250,133,6},{249,138,4},{255,236,16},{213,84,1},{255,144,6},{255,150,4},{255,144,6},{255,150,4},{255,0,0},{221,92,1},{254,185,7},{255,175,4},{253,187,7},{255,175,4},{255,0,0},{229,100,1},{255,196,7},{255,199,4},{255,196,7},{255,199,4},{255,0,0},
{237,108,1},{80,0,47},{80,0,44},{24,0,15},{24,0,12},{80,24,48},{0,0,0},{88,1,47},{88,1,44},{32,0,15},{32,0,12},{88,4,32},{0,0,0},{138,0,111},{138,0,108},{40,0,15},{40,0,12},{96,12,32},{0,0,0},{153,0,111},{153,0,108},{48,0,15},{48,0,12},{104,20,32},{0,0,0},{166,4,111},{164,8,108},{57,4,15},{57,9,12},{167,3,96},{9,0,3},{176,9,111},
{172,16,108},{65,0,11},{65,17,12},{175,11,96},{17,0,3},{189,13,111},{180,24,108},{73,0,11},{73,1,8},{183,19,96},{25,0,3},{129,0,27},{188,32,108},{83,2,11},{81,9,8},{191,27,96},{33,0,3},{141,0,27},{197,41,108},{132,0,27},{90,18,8},{200,36,96},{42,0,3},{151,0,27},{205,49,108},{148,0,27},{145,3,24},{208,44,96},{50,0,3},{160,3,27},{213,57,108},{160,3,27},
{153,11,24},{216,52,96},{58,2,3},{168,11,27},{221,65,108},{168,11,27},{161,19,24},{170,0,16},{66,10,3},{177,20,27},{230,74,108},{177,20,27},{170,28,24},{179,7,16},{75,19,3},{185,28,27},{238,82,108},{185,28,27},{178,36,24},{187,15,16},{83,0,2},{193,36,27},{246,90,108},{193,36,27},{186,44,24},{195,23,16},{91,7,2},{201,44,27},{254,98,108},{201,44,27},{147,0,4},{203,31,16},
{99,15,2},{210,53,27},{211,54,24},{157,1,6},{156,9,4},{212,40,16},{108,24,2},{218,61,27},{219,62,24},{165,9,6},{164,17,4},{220,48,16},{170,6,6},{226,69,27},{227,70,24},{173,17,6},{172,25,4},{228,56,16},{178,14,6},{234,77,27},{235,78,24},{181,25,6},{180,33,4},{236,64,16},{186,22,6},{243,86,27},{244,87,24},{190,34,6},{189,42,4},{245,73,16},{195,31,6},{251,94,27},
{252,95,24},{198,42,6},{197,50,4},{253,81,16},{203,39,6},{255,104,27},{255,107,24},{206,50,6},{205,58,4},{255,102,16},{211,47,6},{255,113,27},{255,123,24},{214,58,6},{213,66,4},{255,126,16},{219,55,6},{255,126,27},{253,172,28},{223,67,6},{222,75,4},{255,153,16},{174,2,1},{242,66,6},{254,182,28},{231,75,6},{230,83,4},{255,178,16},{182,10,1},{246,79,6},{255,190,28},{239,83,6},
{238,91,4},{255,202,16},{190,18,1},{251,89,6},{251,88,4},{247,91,6},{246,99,4},{255,227,16},{198,26,1},{255,102,6},{255,108,4},{255,102,6},{255,108,4},{255,0,0},{207,35,1},{255,117,6},{255,132,4},{255,117,6},{255,132,4},{255,0,0},{215,43,1},{254,167,7},{255,156,4},{254,167,7},{255,156,4},{255,0,0},{223,51,1},{255,175,7},{255,181,4},{255,175,7},{255,181,4},{255,0,0},
{231,59,1},{105,0,47},{105,0,44},{33,0,15},{33,0,12},{106,33,48},{0,0,0},{115,0,47},{114,2,44},{41,0,15},{41,0,12},{114,5,32},{0,0,0},{123,2,47},{124,3,44},{49,0,15},{49,0,12},{122,13,32},{0,0,0},{190,0,111},{190,0,108},{57,0,15},{57,0,12},{130,21,32},{0,0,0},{205,0,111},{205,0,108},{66,0,15},{66,0,12},{139,30,32},{0,0,0},{217,4,111},
{215,7,108},{74,4,15},{74,8,12},{218,3,96},{8,0,3},{229,8,111},{223,15,108},{80,0,11},{82,16,12},{226,11,96},{16,0,3},{237,13,111},{231,23,108},{89,0,11},{90,24,12},{234,19,96},{24,0,3},{251,17,111},{240,32,108},{99,0,11},{99,1,8},{243,28,96},{33,0,3},{169,0,27},{248,40,108},{108,2,11},{107,9,8},{251,36,96},{41,0,3},{181,0,27},{254,49,108},{166,0,27},
{115,17,8},{188,79,32},{49,0,3},{190,0,27},{255,59,108},{181,0,27},{123,25,8},{196,87,32},{57,0,3},{203,0,27},{203,0,24},{197,0,27},{196,2,24},{205,96,32},{66,0,3},{213,1,27},{212,3,24},{211,2,27},{204,10,24},{213,104,32},{74,1,3},{221,9,27},{220,11,24},{219,10,27},{212,18,24},{221,0,16},{82,9,3},{229,17,27},{228,19,24},{227,18,27},{220,26,24},{229,5,16},
{90,17,3},{238,26,27},{237,28,24},{236,27,27},{229,35,24},{238,14,16},{99,26,3},{246,34,27},{245,36,24},{244,35,27},{237,43,24},{246,22,16},{107,34,3},{254,42,27},{253,44,24},{252,43,27},{245,51,24},{254,30,16},{115,6,2},{255,52,27},{255,58,24},{255,52,27},{253,59,24},{255,53,16},{123,14,2},{255,64,27},{255,74,24},{196,0,6},{198,100,8},{255,80,16},{132,23,2},{255,74,27},
{255,89,24},{206,1,6},{206,4,4},{255,105,16},{140,31,2},{255,86,27},{253,147,28},{215,7,6},{214,12,4},{255,129,16},{219,4,6},{255,95,27},{255,155,28},{223,15,6},{222,20,4},{255,153,16},{227,12,6},{242,17,6},{255,166,28},{232,24,6},{231,29,4},{255,181,16},{236,21,6},{247,26,6},{255,175,28},{240,32,6},{239,37,4},{255,205,16},{244,29,6},{251,38,6},{251,37,4},{248,40,6},
{247,45,4},{255,230,16},{252,37,6},{255,50,6},{255,53,4},{255,50,6},{255,53,4},{255,0,0},{189,80,2},{255,65,6},{255,80,4},{255,65,6},{255,80,4},{255,0,0},{198,89,2},{252,131,7},{255,105,4},{252,131,7},{255,105,4},{255,0,0},{206,97,2},{254,139,7},{255,129,4},{253,141,7},{255,129,4},{255,0,0},{214,105,2},{255,150,7},{255,153,4},{255,150,7},{255,153,4},{255,0,0},
{222,0,1},{181,0,47},{178,0,44},{47,0,15},{47,0,12},{183,47,48},{0,0,0},{190,0,47},{190,0,44},{55,0,15},{55,0,12},{191,55,48},{0,0,0},{199,0,47},{199,0,44},{63,0,15},{63,0,12},{199,63,48},{0,0,0},{207,0,47},{207,1,44},{71,0,15},{71,0,12},{207,4,32},{0,0,0},{216,1,47},{218,3,44},{80,0,15},{80,0,12},{216,13,32},{0,0,0},{225,1,47},
{227,6,44},{88,0,15},{88,0,12},{224,21,32},{0,0,0},{233,2,47},{235,11,44},{96,1,15},{96,2,12},{232,29,32},{2,0,3},{241,4,47},{243,19,44},{104,5,15},{104,10,12},{240,37,32},{10,0,3},{251,5,47},{252,28,44},{113,9,15},{113,19,12},{249,46,32},{19,0,3},{255,9,47},{255,37,44},{117,0,11},{121,27,12},{255,55,32},{27,0,3},{255,9,47},{255,46,44},{126,0,11},
{129,35,12},{255,67,32},{35,0,3},{248,0,27},{255,55,44},{137,0,11},{137,43,12},{255,79,32},{43,0,3},{250,0,27},{255,64,44},{147,2,11},{146,6,8},{255,93,32},{52,0,3},{251,0,27},{255,73,44},{155,4,11},{154,14,8},{255,104,32},{60,0,3},{253,0,27},{248,0,24},{233,0,27},{162,22,8},{255,116,32},{68,0,3},{254,0,27},{254,0,24},{248,0,27},{170,30,8},{255,128,32},
{76,0,3},{255,1,27},{255,7,24},{255,1,27},{179,39,8},{255,22,16},{85,0,3},{255,2,27},{255,22,24},{255,7,27},{187,47,8},{255,47,16},{93,0,3},{255,4,27},{251,100,28},{182,0,7},{195,55,8},{255,71,16},{101,0,3},{255,4,27},{253,108,28},{191,0,7},{203,63,8},{255,95,16},{109,0,3},{255,7,27},{255,118,28},{200,0,7},{212,72,8},{255,123,16},{118,0,3},{246,0,7},
{255,129,28},{209,0,7},{220,80,8},{255,147,16},{126,0,3},{246,0,7},{255,138,28},{218,0,7},{228,88,8},{255,172,16},{134,0,3},{249,3,7},{245,91,8},{228,3,7},{236,96,8},{255,196,16},{142,6,3},{251,14,7},{250,102,8},{237,12,7},{245,105,8},{255,223,16},{151,15,3},{253,22,7},{254,112,8},{245,20,7},{253,113,8},{255,248,16},{159,23,3},{253,31,7},{255,124,8},{249,28,7},
{255,124,8},{255,0,0},{167,31,3},{254,39,7},{255,10,4},{252,37,7},{255,10,4},{255,0,0},{175,39,3},{255,48,7},{255,38,4},{254,48,7},{255,38,4},{255,0,0},{184,48,3},{255,56,7},{255,62,4},{255,56,7},{255,62,4},{255,0,0},{192,56,3},{255,65,7},{255,86,4},{255,65,7},{255,86,4},{255,0,0},{200,64,3},{255,74,7},{255,111,4},{255,77,7},{255,111,4},{255,0,0},
{208,5,2},
/**** ended inlining basisu_transcoder_tables_bc7_m5_alpha.inc ****/
};
static inline uint32_t set_block_bits(uint8_t* pBytes, uint32_t val, uint32_t num_bits, uint32_t cur_ofs)
{
assert(num_bits < 32);
assert(val < (1ULL << num_bits));
uint32_t mask = (1 << num_bits) - 1;
while (num_bits)
{
const uint32_t n = basisu::minimum<uint32_t>(8 - (cur_ofs & 7), num_bits);
pBytes[cur_ofs >> 3] &= ~static_cast<uint8_t>(mask << (cur_ofs & 7));
pBytes[cur_ofs >> 3] |= static_cast<uint8_t>(val << (cur_ofs & 7));
val >>= n;
mask >>= n;
num_bits -= n;
cur_ofs += n;
}
return cur_ofs;
}
struct bc7_mode_5
{
union
{
struct
{
uint64_t m_mode : 6;
uint64_t m_rot : 2;
uint64_t m_r0 : 7;
uint64_t m_r1 : 7;
uint64_t m_g0 : 7;
uint64_t m_g1 : 7;
uint64_t m_b0 : 7;
uint64_t m_b1 : 7;
uint64_t m_a0 : 8;
uint64_t m_a1_0 : 6;
} m_lo;
uint64_t m_lo_bits;
};
union
{
struct
{
uint64_t m_a1_1 : 2;
// bit 2
uint64_t m_c00 : 1;
uint64_t m_c10 : 2;
uint64_t m_c20 : 2;
uint64_t m_c30 : 2;
uint64_t m_c01 : 2;
uint64_t m_c11 : 2;
uint64_t m_c21 : 2;
uint64_t m_c31 : 2;
uint64_t m_c02 : 2;
uint64_t m_c12 : 2;
uint64_t m_c22 : 2;
uint64_t m_c32 : 2;
uint64_t m_c03 : 2;
uint64_t m_c13 : 2;
uint64_t m_c23 : 2;
uint64_t m_c33 : 2;
// bit 33
uint64_t m_a00 : 1;
uint64_t m_a10 : 2;
uint64_t m_a20 : 2;
uint64_t m_a30 : 2;
uint64_t m_a01 : 2;
uint64_t m_a11 : 2;
uint64_t m_a21 : 2;
uint64_t m_a31 : 2;
uint64_t m_a02 : 2;
uint64_t m_a12 : 2;
uint64_t m_a22 : 2;
uint64_t m_a32 : 2;
uint64_t m_a03 : 2;
uint64_t m_a13 : 2;
uint64_t m_a23 : 2;
uint64_t m_a33 : 2;
} m_hi;
uint64_t m_hi_bits;
};
};
#if BASISD_WRITE_NEW_BC7_MODE5_TABLES
static void create_etc1_to_bc7_m5_color_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_bc7_m5_color.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_bc7_m5_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_bc7_m5_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 127; hi++)
{
for (uint32_t lo = 0; lo <= 127; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 1) | (lo >> 6);
colors[3] = (hi << 1) | (hi >> 6);
colors[1] = (colors[0] * (64 - 21) + colors[3] * 21 + 32) / 64;
colors[2] = (colors[0] * (64 - 43) + colors[3] * 43 + 32) / 64;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_bc7_m5_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
static void create_etc1_to_bc7_m5_alpha_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_bc7_m5_alpha.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_bc7_m5a_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_bc7_m5a_selector_ranges[sr].m_high;
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
uint32_t best_output_selectors = 0;
for (uint32_t hi = 0; hi <= 255; hi++)
{
for (uint32_t lo = 0; lo <= 255; lo++)
{
uint32_t colors[4];
colors[0] = lo;
colors[3] = hi;
colors[1] = (colors[0] * (64 - 21) + colors[3] * 21 + 32) / 64;
colors[2] = (colors[0] * (64 - 43) + colors[3] * 43 + 32) / 64;
uint64_t total_err = 0;
uint32_t output_selectors = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int best_mapping_err = INT_MAX;
int best_k = 0;
for (int k = 0; k < 4; k++)
{
int mapping_err = block_colors[s].g - colors[k];
mapping_err *= mapping_err;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
mapping_err *= 5;
if (mapping_err < best_mapping_err)
{
best_mapping_err = mapping_err;
best_k = k;
}
} // k
total_err += best_mapping_err;
output_selectors |= (best_k << (s * 2));
} // s
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
best_output_selectors = output_selectors;
}
} // lo
} // hi
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, best_output_selectors);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // sr
} // g
} // inten
fclose(pFile);
}
#endif // BASISD_WRITE_NEW_BC7_MODE5_TABLES
struct bc7_m5_match_entry
{
uint8_t m_hi;
uint8_t m_lo;
};
static bc7_m5_match_entry g_bc7_m5_equals_1[256] =
{
{0,0},{1,0},{3,0},{4,0},{6,0},{7,0},{9,0},{10,0},{12,0},{13,0},{15,0},{16,0},{18,0},{20,0},{21,0},{23,0},
{24,0},{26,0},{27,0},{29,0},{30,0},{32,0},{33,0},{35,0},{36,0},{38,0},{39,0},{41,0},{42,0},{44,0},{45,0},{47,0},
{48,0},{50,0},{52,0},{53,0},{55,0},{56,0},{58,0},{59,0},{61,0},{62,0},{64,0},{65,0},{66,0},{68,0},{69,0},{71,0},
{72,0},{74,0},{75,0},{77,0},{78,0},{80,0},{82,0},{83,0},{85,0},{86,0},{88,0},{89,0},{91,0},{92,0},{94,0},{95,0},
{97,0},{98,0},{100,0},{101,0},{103,0},{104,0},{106,0},{107,0},{109,0},{110,0},{112,0},{114,0},{115,0},{117,0},{118,0},{120,0},
{121,0},{123,0},{124,0},{126,0},{127,0},{127,1},{126,2},{126,3},{127,3},{127,4},{126,5},{126,6},{127,6},{127,7},{126,8},{126,9},
{127,9},{127,10},{126,11},{126,12},{127,12},{127,13},{126,14},{125,15},{127,15},{126,16},{126,17},{127,17},{127,18},{126,19},{126,20},{127,20},
{127,21},{126,22},{126,23},{127,23},{127,24},{126,25},{126,26},{127,26},{127,27},{126,28},{126,29},{127,29},{127,30},{126,31},{126,32},{127,32},
{127,33},{126,34},{126,35},{127,35},{127,36},{126,37},{126,38},{127,38},{127,39},{126,40},{126,41},{127,41},{127,42},{126,43},{126,44},{127,44},
{127,45},{126,46},{125,47},{127,47},{126,48},{126,49},{127,49},{127,50},{126,51},{126,52},{127,52},{127,53},{126,54},{126,55},{127,55},{127,56},
{126,57},{126,58},{127,58},{127,59},{126,60},{126,61},{127,61},{127,62},{126,63},{125,64},{126,64},{126,65},{127,65},{127,66},{126,67},{126,68},
{127,68},{127,69},{126,70},{126,71},{127,71},{127,72},{126,73},{126,74},{127,74},{127,75},{126,76},{125,77},{127,77},{126,78},{126,79},{127,79},
{127,80},{126,81},{126,82},{127,82},{127,83},{126,84},{126,85},{127,85},{127,86},{126,87},{126,88},{127,88},{127,89},{126,90},{126,91},{127,91},
{127,92},{126,93},{126,94},{127,94},{127,95},{126,96},{126,97},{127,97},{127,98},{126,99},{126,100},{127,100},{127,101},{126,102},{126,103},{127,103},
{127,104},{126,105},{126,106},{127,106},{127,107},{126,108},{125,109},{127,109},{126,110},{126,111},{127,111},{127,112},{126,113},{126,114},{127,114},{127,115},
{126,116},{126,117},{127,117},{127,118},{126,119},{126,120},{127,120},{127,121},{126,122},{126,123},{127,123},{127,124},{126,125},{126,126},{127,126},{127,127}
};
static void transcoder_init_bc7_mode5()
{
#if 0
// This is a little too much work to do at init time, so precompute it.
for (int i = 0; i < 256; i++)
{
int lowest_e = 256;
for (int lo = 0; lo < 128; lo++)
{
for (int hi = 0; hi < 128; hi++)
{
const int lo_e = (lo << 1) | (lo >> 6);
const int hi_e = (hi << 1) | (hi >> 6);
// Selector 1
int v = (lo_e * (64 - 21) + hi_e * 21 + 32) >> 6;
int e = abs(v - i);
if (e < lowest_e)
{
g_bc7_m5_equals_1[i].m_hi = static_cast<uint8_t>(hi);
g_bc7_m5_equals_1[i].m_lo = static_cast<uint8_t>(lo);
lowest_e = e;
}
} // hi
} // lo
printf("{%u,%u},", g_bc7_m5_equals_1[i].m_hi, g_bc7_m5_equals_1[i].m_lo);
if ((i & 15) == 15) printf("\n");
}
#endif
for (uint32_t i = 0; i < NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1_to_bc7_m5_selector_ranges[i].m_low;
uint32_t h = g_etc1_to_bc7_m5_selector_ranges[i].m_high;
g_etc1_to_bc7_m5_selector_range_index[l][h] = i;
}
for (uint32_t i = 0; i < NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1_to_bc7_m5a_selector_ranges[i].m_low;
uint32_t h = g_etc1_to_bc7_m5a_selector_ranges[i].m_high;
g_etc1_to_bc7_m5a_selector_range_index[l][h] = i;
}
}
static void convert_etc1s_to_bc7_m5_color(void* pDst, const endpoint* pEndpoints, const selector* pSelector)
{
bc7_mode_5* pDst_block = static_cast<bc7_mode_5*>(pDst);
// First ensure the block is cleared to all 0's
static_cast<uint64_t*>(pDst)[0] = 0;
static_cast<uint64_t*>(pDst)[1] = 0;
// Set alpha to 255
pDst_block->m_lo.m_mode = 1 << 5;
pDst_block->m_lo.m_a0 = 255;
pDst_block->m_lo.m_a1_0 = 63;
pDst_block->m_hi.m_a1_1 = 3;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const uint32_t base_color_r = pEndpoints->m_color5.r;
const uint32_t base_color_g = pEndpoints->m_color5.g;
const uint32_t base_color_b = pEndpoints->m_color5.b;
const uint32_t inten_table = pEndpoints->m_inten5;
if (pSelector->m_num_unique_selectors == 1)
{
// Solid color block - use precomputed tables and set selectors to 1.
uint32_t r, g, b;
decoder_etc_block::get_block_color5(pEndpoints->m_color5, inten_table, low_selector, r, g, b);
pDst_block->m_lo.m_r0 = g_bc7_m5_equals_1[r].m_lo;
pDst_block->m_lo.m_g0 = g_bc7_m5_equals_1[g].m_lo;
pDst_block->m_lo.m_b0 = g_bc7_m5_equals_1[b].m_lo;
pDst_block->m_lo.m_r1 = g_bc7_m5_equals_1[r].m_hi;
pDst_block->m_lo.m_g1 = g_bc7_m5_equals_1[g].m_hi;
pDst_block->m_lo.m_b1 = g_bc7_m5_equals_1[b].m_hi;
set_block_bits((uint8_t*)pDst, 0x2aaaaaab, 31, 66);
return;
}
else if (pSelector->m_num_unique_selectors == 2)
{
// Only one or two unique selectors, so just switch to block truncation coding (BTC) to avoid quality issues on extreme blocks.
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, color32(base_color_r, base_color_g, base_color_b, 255), inten_table);
const uint32_t r0 = block_colors[low_selector].r;
const uint32_t g0 = block_colors[low_selector].g;
const uint32_t b0 = block_colors[low_selector].b;
const uint32_t r1 = block_colors[high_selector].r;
const uint32_t g1 = block_colors[high_selector].g;
const uint32_t b1 = block_colors[high_selector].b;
pDst_block->m_lo.m_r0 = r0 >> 1;
pDst_block->m_lo.m_g0 = g0 >> 1;
pDst_block->m_lo.m_b0 = b0 >> 1;
pDst_block->m_lo.m_r1 = r1 >> 1;
pDst_block->m_lo.m_g1 = g1 >> 1;
pDst_block->m_lo.m_b1 = b1 >> 1;
uint32_t output_low_selector = 0, output_bit_offset = 0, output_bits = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t os = (s == low_selector) ? output_low_selector : (3 ^ output_low_selector);
uint32_t num_bits = 2;
if ((x | y) == 0)
{
if (os & 2)
{
pDst_block->m_lo.m_r0 = r1 >> 1;
pDst_block->m_lo.m_g0 = g1 >> 1;
pDst_block->m_lo.m_b0 = b1 >> 1;
pDst_block->m_lo.m_r1 = r0 >> 1;
pDst_block->m_lo.m_g1 = g0 >> 1;
pDst_block->m_lo.m_b1 = b0 >> 1;
output_low_selector = 3;
os = 0;
}
num_bits = 1;
}
output_bits |= (os << output_bit_offset);
output_bit_offset += num_bits;
}
}
set_block_bits((uint8_t*)pDst, output_bits, 31, 66);
return;
}
const uint32_t selector_range_table = g_etc1_to_bc7_m5_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_bc7_m5_solution* pTable_r = &g_etc1_to_bc7_m5_color[(inten_table * 32 + base_color_r) * (NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS];
const etc1_to_bc7_m5_solution* pTable_g = &g_etc1_to_bc7_m5_color[(inten_table * 32 + base_color_g) * (NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS];
const etc1_to_bc7_m5_solution* pTable_b = &g_etc1_to_bc7_m5_color[(inten_table * 32 + base_color_b) * (NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
const uint8_t* pSelectors_xlat = &g_etc1_to_bc7_m5_selector_mappings[best_mapping][0];
uint32_t s_inv = 0;
if (pSelectors_xlat[pSelector->get_selector(0, 0)] & 2)
{
pDst_block->m_lo.m_r0 = pTable_r[best_mapping].m_hi;
pDst_block->m_lo.m_g0 = pTable_g[best_mapping].m_hi;
pDst_block->m_lo.m_b0 = pTable_b[best_mapping].m_hi;
pDst_block->m_lo.m_r1 = pTable_r[best_mapping].m_lo;
pDst_block->m_lo.m_g1 = pTable_g[best_mapping].m_lo;
pDst_block->m_lo.m_b1 = pTable_b[best_mapping].m_lo;
s_inv = 3;
}
else
{
pDst_block->m_lo.m_r0 = pTable_r[best_mapping].m_lo;
pDst_block->m_lo.m_g0 = pTable_g[best_mapping].m_lo;
pDst_block->m_lo.m_b0 = pTable_b[best_mapping].m_lo;
pDst_block->m_lo.m_r1 = pTable_r[best_mapping].m_hi;
pDst_block->m_lo.m_g1 = pTable_g[best_mapping].m_hi;
pDst_block->m_lo.m_b1 = pTable_b[best_mapping].m_hi;
}
uint32_t output_bits = 0, output_bit_ofs = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t s = pSelector->get_selector(x, y);
const uint32_t os = pSelectors_xlat[s] ^ s_inv;
output_bits |= (os << output_bit_ofs);
output_bit_ofs += (((x | y) == 0) ? 1 : 2);
}
}
set_block_bits((uint8_t*)pDst, output_bits, 31, 66);
}
static void convert_etc1s_to_bc7_m5_alpha(void* pDst, const endpoint* pEndpoints, const selector* pSelector)
{
bc7_mode_5* pDst_block = static_cast<bc7_mode_5*>(pDst);
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const uint32_t base_color_r = pEndpoints->m_color5.r;
const uint32_t inten_table = pEndpoints->m_inten5;
if (pSelector->m_num_unique_selectors == 1)
{
uint32_t r;
decoder_etc_block::get_block_color5_r(pEndpoints->m_color5, inten_table, low_selector, r);
pDst_block->m_lo.m_a0 = r;
pDst_block->m_lo.m_a1_0 = r & 63;
pDst_block->m_hi.m_a1_1 = r >> 6;
return;
}
else if (pSelector->m_num_unique_selectors == 2)
{
// Only one or two unique selectors, so just switch to block truncation coding (BTC) to avoid quality issues on extreme blocks.
int block_colors[4];
decoder_etc_block::get_block_colors5_g(block_colors, pEndpoints->m_color5, inten_table);
pDst_block->m_lo.m_a0 = block_colors[low_selector];
pDst_block->m_lo.m_a1_0 = block_colors[high_selector] & 63;
pDst_block->m_hi.m_a1_1 = block_colors[high_selector] >> 6;
uint32_t output_low_selector = 0, output_bit_offset = 0, output_bits = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t s = pSelector->get_selector(x, y);
uint32_t os = (s == low_selector) ? output_low_selector : (3 ^ output_low_selector);
uint32_t num_bits = 2;
if ((x | y) == 0)
{
if (os & 2)
{
pDst_block->m_lo.m_a0 = block_colors[high_selector];
pDst_block->m_lo.m_a1_0 = block_colors[low_selector] & 63;
pDst_block->m_hi.m_a1_1 = block_colors[low_selector] >> 6;
output_low_selector = 3;
os = 0;
}
num_bits = 1;
}
output_bits |= (os << output_bit_offset);
output_bit_offset += num_bits;
}
}
set_block_bits((uint8_t*)pDst, output_bits, 31, 97);
return;
}
const uint32_t selector_range_table = g_etc1_to_bc7_m5a_selector_range_index[low_selector][high_selector];
const etc1_g_to_bc7_m5a_conversion* pTable = &g_etc1_g_to_bc7_m5a[inten_table * (32 * NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES) + base_color_r * NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES + selector_range_table];
pDst_block->m_lo.m_a0 = pTable->m_lo;
pDst_block->m_lo.m_a1_0 = pTable->m_hi & 63;
pDst_block->m_hi.m_a1_1 = pTable->m_hi >> 6;
uint32_t output_bit_offset = 0, output_bits = 0, selector_trans = pTable->m_trans;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t s = pSelector->get_selector(x, y);
uint32_t os = (selector_trans >> (s * 2)) & 3;
uint32_t num_bits = 2;
if ((x | y) == 0)
{
if (os & 2)
{
pDst_block->m_lo.m_a0 = pTable->m_hi;
pDst_block->m_lo.m_a1_0 = pTable->m_lo & 63;
pDst_block->m_hi.m_a1_1 = pTable->m_lo >> 6;
selector_trans ^= 0xFF;
os ^= 3;
}
num_bits = 1;
}
output_bits |= (os << output_bit_offset);
output_bit_offset += num_bits;
}
}
set_block_bits((uint8_t*)pDst, output_bits, 31, 97);
}
#endif // BASISD_SUPPORT_BC7_MODE5
#if BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_UASTC
static const uint8_t g_etc2_eac_a8_sel4[6] = { 0x92, 0x49, 0x24, 0x92, 0x49, 0x24 };
#endif
#if BASISD_SUPPORT_ETC2_EAC_A8
static void convert_etc1s_to_etc2_eac_a8(eac_block* pDst_block, const endpoint* pEndpoints, const selector* pSelector)
{
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r;
decoder_etc_block::get_block_color5_r(base_color, inten_table, low_selector, r);
// Constant alpha block
// Select table 13, use selector 4 (0), set multiplier to 1 and base color g
pDst_block->m_base = r;
pDst_block->m_table = 13;
pDst_block->m_multiplier = 1;
// selectors are all 4's
memcpy(pDst_block->m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
return;
}
uint32_t selector_range_table = 0;
for (selector_range_table = 0; selector_range_table < NUM_ETC2_EAC_SELECTOR_RANGES; selector_range_table++)
if ((low_selector == s_etc2_eac_selector_ranges[selector_range_table].m_low) && (high_selector == s_etc2_eac_selector_ranges[selector_range_table].m_high))
break;
if (selector_range_table >= NUM_ETC2_EAC_SELECTOR_RANGES)
selector_range_table = 0;
const etc1_g_to_eac_conversion* pTable_entry = &s_etc1_g_to_etc2_a8[base_color.r + inten_table * 32][selector_range_table];
pDst_block->m_base = pTable_entry->m_base;
pDst_block->m_table = pTable_entry->m_table_mul >> 4;
pDst_block->m_multiplier = pTable_entry->m_table_mul & 15;
uint64_t selector_bits = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t ds = (pTable_entry->m_trans >> (s * 3)) & 7;
const uint32_t dst_ofs = 45 - (y + x * 4) * 3;
selector_bits |= (static_cast<uint64_t>(ds) << dst_ofs);
}
}
pDst_block->set_selector_bits(selector_bits);
}
#endif // BASISD_SUPPORT_ETC2_EAC_A8
#if BASISD_SUPPORT_ETC2_EAC_RG11
static const etc1_g_to_eac_conversion s_etc1_g_to_etc2_r11[32 * 8][NUM_ETC2_EAC_SELECTOR_RANGES] =
{
{{0,1,3328},{0,1,3328},{0,16,457},{0,16,456}},
{{0,226,3936},{0,226,3936},{0,17,424},{8,0,472}},
{{6,178,4012},{6,178,4008},{0,146,501},{16,0,472}},
{{14,178,4012},{14,178,4008},{8,146,501},{24,0,472}},
{{23,178,4012},{23,178,4008},{17,146,501},{33,0,472}},
{{31,178,4012},{31,178,4008},{25,146,501},{41,0,472}},
{{39,178,4012},{39,178,4008},{33,146,501},{49,0,472}},
{{47,178,4012},{47,178,4008},{41,146,501},{27,228,496}},
{{56,178,4012},{56,178,4008},{50,146,501},{36,228,496}},
{{64,178,4012},{64,178,4008},{58,146,501},{44,228,496}},
{{72,178,4012},{72,178,4008},{66,146,501},{52,228,496}},
{{80,178,4012},{80,178,4008},{74,146,501},{60,228,496}},
{{89,178,4012},{89,178,4008},{83,146,501},{69,228,496}},
{{97,178,4012},{97,178,4008},{91,146,501},{77,228,496}},
{{105,178,4012},{105,178,4008},{99,146,501},{85,228,496}},
{{113,178,4012},{113,178,4008},{107,146,501},{93,228,496}},
{{122,178,4012},{122,178,4008},{116,146,501},{102,228,496}},
{{130,178,4012},{130,178,4008},{124,146,501},{110,228,496}},
{{138,178,4012},{138,178,4008},{132,146,501},{118,228,496}},
{{146,178,4012},{146,178,4008},{140,146,501},{126,228,496}},
{{155,178,4012},{155,178,4008},{149,146,501},{135,228,496}},
{{163,178,4012},{163,178,4008},{157,146,501},{143,228,496}},
{{171,178,4012},{171,178,4008},{165,146,501},{151,228,496}},
{{179,178,4012},{179,178,4008},{173,146,501},{159,228,496}},
{{188,178,4012},{188,178,4008},{182,146,501},{168,228,496}},
{{196,178,4012},{196,178,4008},{190,146,501},{176,228,496}},
{{204,178,4012},{204,178,4008},{198,146,501},{184,228,496}},
{{212,178,4012},{212,178,4008},{206,146,501},{192,228,496}},
{{221,178,4012},{221,178,4008},{215,146,501},{201,228,496}},
{{229,178,4012},{229,178,4008},{223,146,501},{209,228,496}},
{{235,66,4012},{221,100,4008},{231,146,501},{217,228,496}},
{{211,102,4085},{254,32,4040},{211,102,501},{254,32,456}},
{{0,2,3328},{0,2,3328},{0,1,320},{0,1,320}},
{{7,162,3905},{7,162,3904},{0,17,480},{0,17,480}},
{{15,162,3906},{15,162,3904},{1,117,352},{1,117,352}},
{{23,162,3906},{23,162,3904},{5,34,500},{4,53,424}},
{{32,162,3906},{32,162,3904},{14,34,500},{3,69,424}},
{{40,162,3906},{40,162,3904},{22,34,500},{1,133,496}},
{{48,162,3906},{48,162,3904},{30,34,500},{4,85,496}},
{{56,162,3906},{56,162,3904},{38,34,500},{12,85,496}},
{{65,162,3906},{65,162,3904},{47,34,500},{1,106,424}},
{{73,162,3906},{73,162,3904},{55,34,500},{9,106,424}},
{{81,162,3906},{81,162,3904},{63,34,500},{7,234,496}},
{{89,162,3906},{89,162,3904},{71,34,500},{15,234,496}},
{{98,162,3906},{98,162,3904},{80,34,500},{24,234,496}},
{{106,162,3906},{106,162,3904},{88,34,500},{32,234,496}},
{{114,162,3906},{114,162,3904},{96,34,500},{40,234,496}},
{{122,162,3906},{122,162,3904},{104,34,500},{48,234,496}},
{{131,162,3906},{131,162,3904},{113,34,500},{57,234,496}},
{{139,162,3906},{139,162,3904},{121,34,500},{65,234,496}},
{{147,162,3906},{147,162,3904},{129,34,500},{73,234,496}},
{{155,162,3906},{155,162,3904},{137,34,500},{81,234,496}},
{{164,162,3906},{164,162,3904},{146,34,500},{90,234,496}},
{{172,162,3906},{172,162,3904},{154,34,500},{98,234,496}},
{{180,162,3906},{180,162,3904},{162,34,500},{106,234,496}},
{{188,162,3906},{188,162,3904},{170,34,500},{114,234,496}},
{{197,162,3906},{197,162,3904},{179,34,500},{123,234,496}},
{{205,162,3906},{205,162,3904},{187,34,500},{131,234,496}},
{{213,162,3906},{213,162,3904},{195,34,500},{139,234,496}},
{{221,162,3906},{221,162,3904},{203,34,500},{147,234,496}},
{{230,162,3906},{230,162,3904},{212,34,500},{156,234,496}},
{{238,162,3906},{174,106,4008},{220,34,500},{164,234,496}},
{{240,178,4001},{182,106,4008},{228,34,500},{172,234,496}},
{{166,108,4085},{115,31,4080},{166,108,501},{115,31,496}},
{{1,68,3328},{1,68,3328},{0,1,384},{0,1,384}},
{{1,51,3968},{1,51,3968},{0,2,384},{0,2,384}},
{{21,18,3851},{21,18,3848},{1,50,488},{1,50,488}},
{{26,195,3851},{29,18,3848},{0,67,488},{0,67,488}},
{{35,195,3851},{38,18,3848},{12,115,488},{0,3,496}},
{{43,195,3851},{46,18,3848},{20,115,488},{2,6,424}},
{{51,195,3851},{54,18,3848},{36,66,482},{4,22,424}},
{{59,195,3851},{62,18,3848},{44,66,482},{3,73,424}},
{{68,195,3851},{71,18,3848},{53,66,482},{3,22,496}},
{{76,195,3851},{79,18,3848},{61,66,482},{2,137,496}},
{{84,195,3851},{87,18,3848},{69,66,482},{1,89,496}},
{{92,195,3851},{95,18,3848},{77,66,482},{9,89,496}},
{{101,195,3851},{104,18,3848},{86,66,482},{18,89,496}},
{{109,195,3851},{112,18,3848},{94,66,482},{26,89,496}},
{{117,195,3851},{120,18,3848},{102,66,482},{34,89,496}},
{{125,195,3851},{128,18,3848},{110,66,482},{42,89,496}},
{{134,195,3851},{137,18,3848},{119,66,482},{51,89,496}},
{{141,195,3907},{145,18,3848},{127,66,482},{59,89,496}},
{{149,195,3907},{153,18,3848},{135,66,482},{67,89,496}},
{{157,195,3907},{161,18,3848},{143,66,482},{75,89,496}},
{{166,195,3907},{170,18,3848},{152,66,482},{84,89,496}},
{{174,195,3907},{178,18,3848},{160,66,482},{92,89,496}},
{{182,195,3907},{186,18,3848},{168,66,482},{100,89,496}},
{{190,195,3907},{194,18,3848},{176,66,482},{108,89,496}},
{{199,195,3907},{203,18,3848},{185,66,482},{117,89,496}},
{{207,195,3907},{211,18,3848},{193,66,482},{125,89,496}},
{{215,195,3907},{219,18,3848},{201,66,482},{133,89,496}},
{{223,195,3907},{227,18,3848},{209,66,482},{141,89,496}},
{{232,195,3907},{168,89,4008},{218,66,482},{150,89,496}},
{{236,18,3907},{176,89,4008},{226,66,482},{158,89,496}},
{{158,90,4085},{103,31,4080},{158,90,501},{103,31,496}},
{{166,90,4085},{111,31,4080},{166,90,501},{111,31,496}},
{{0,70,3328},{0,70,3328},{0,17,448},{0,17,448}},
{{0,117,3904},{0,117,3904},{0,35,384},{0,35,384}},
{{13,165,3905},{13,165,3904},{2,211,480},{2,211,480}},
{{21,165,3906},{21,165,3904},{1,51,488},{1,51,488}},
{{30,165,3906},{30,165,3904},{7,61,352},{7,61,352}},
{{38,165,3906},{38,165,3904},{2,125,352},{2,125,352}},
{{46,165,3906},{46,165,3904},{1,37,500},{10,125,352}},
{{54,165,3906},{54,165,3904},{9,37,500},{5,61,424}},
{{63,165,3906},{63,165,3904},{18,37,500},{1,189,424}},
{{71,165,3906},{71,165,3904},{26,37,500},{9,189,424}},
{{79,165,3906},{79,165,3904},{34,37,500},{4,77,424}},
{{87,165,3906},{87,165,3904},{42,37,500},{12,77,424}},
{{96,165,3906},{96,165,3904},{51,37,500},{8,93,424}},
{{104,165,3906},{104,165,3904},{59,37,500},{3,141,496}},
{{112,165,3906},{112,165,3904},{68,37,500},{11,141,496}},
{{120,165,3906},{120,165,3904},{76,37,500},{6,93,496}},
{{129,165,3906},{129,165,3904},{85,37,500},{15,93,496}},
{{70,254,4012},{137,165,3904},{93,37,500},{23,93,496}},
{{145,165,3906},{145,165,3904},{101,37,500},{31,93,496}},
{{86,254,4012},{153,165,3904},{109,37,500},{39,93,496}},
{{163,165,3906},{162,165,3904},{118,37,500},{48,93,496}},
{{171,165,3906},{170,165,3904},{126,37,500},{56,93,496}},
{{179,165,3906},{178,165,3904},{134,37,500},{64,93,496}},
{{187,165,3906},{187,165,3904},{142,37,500},{72,93,496}},
{{196,165,3906},{196,165,3904},{151,37,500},{81,93,496}},
{{204,165,3906},{204,165,3904},{159,37,500},{89,93,496}},
{{212,165,3906},{136,77,4008},{167,37,500},{97,93,496}},
{{220,165,3906},{131,93,4008},{175,37,500},{105,93,496}},
{{214,181,4001},{140,93,4008},{184,37,500},{114,93,496}},
{{222,181,4001},{148,93,4008},{192,37,500},{122,93,496}},
{{115,95,4085},{99,31,4080},{115,95,501},{99,31,496}},
{{123,95,4085},{107,31,4080},{123,95,501},{107,31,496}},
{{0,102,3840},{0,102,3840},{0,18,384},{0,18,384}},
{{5,167,3904},{5,167,3904},{0,13,256},{0,13,256}},
{{4,54,3968},{4,54,3968},{1,67,448},{1,67,448}},
{{30,198,3850},{30,198,3848},{0,3,480},{0,3,480}},
{{39,198,3850},{39,198,3848},{3,52,488},{3,52,488}},
{{47,198,3851},{47,198,3848},{3,4,488},{3,4,488}},
{{55,198,3851},{55,198,3848},{1,70,488},{1,70,488}},
{{53,167,3906},{63,198,3848},{3,22,488},{3,22,488}},
{{62,167,3906},{72,198,3848},{24,118,488},{0,6,496}},
{{70,167,3906},{80,198,3848},{32,118,488},{2,89,488}},
{{78,167,3906},{88,198,3848},{40,118,488},{1,73,496}},
{{86,167,3906},{96,198,3848},{48,118,488},{0,28,424}},
{{95,167,3906},{105,198,3848},{57,118,488},{9,28,424}},
{{103,167,3906},{113,198,3848},{65,118,488},{5,108,496}},
{{111,167,3906},{121,198,3848},{73,118,488},{13,108,496}},
{{119,167,3906},{129,198,3848},{81,118,488},{21,108,496}},
{{128,167,3906},{138,198,3848},{90,118,488},{6,28,496}},
{{136,167,3906},{146,198,3848},{98,118,488},{14,28,496}},
{{145,167,3906},{154,198,3848},{106,118,488},{22,28,496}},
{{153,167,3906},{162,198,3848},{114,118,488},{30,28,496}},
{{162,167,3906},{171,198,3848},{123,118,488},{39,28,496}},
{{170,167,3906},{179,198,3848},{131,118,488},{47,28,496}},
{{178,167,3906},{187,198,3848},{139,118,488},{55,28,496}},
{{186,167,3906},{195,198,3848},{147,118,488},{63,28,496}},
{{194,167,3906},{120,12,4008},{156,118,488},{72,28,496}},
{{206,198,3907},{116,28,4008},{164,118,488},{80,28,496}},
{{214,198,3907},{124,28,4008},{172,118,488},{88,28,496}},
{{222,198,3395},{132,28,4008},{180,118,488},{96,28,496}},
{{207,134,4001},{141,28,4008},{189,118,488},{105,28,496}},
{{95,30,4085},{86,31,4080},{95,30,501},{86,31,496}},
{{103,30,4085},{94,31,4080},{103,30,501},{94,31,496}},
{{111,30,4085},{102,31,4080},{111,30,501},{102,31,496}},
{{0,104,3840},{0,104,3840},{0,18,448},{0,18,448}},
{{4,39,3904},{4,39,3904},{0,4,384},{0,4,384}},
{{0,56,3968},{0,56,3968},{0,84,448},{0,84,448}},
{{6,110,3328},{6,110,3328},{0,20,448},{0,20,448}},
{{41,200,3850},{41,200,3848},{1,4,480},{1,4,480}},
{{49,200,3850},{49,200,3848},{1,8,416},{1,8,416}},
{{57,200,3851},{57,200,3848},{1,38,488},{1,38,488}},
{{65,200,3851},{65,200,3848},{1,120,488},{1,120,488}},
{{74,200,3851},{74,200,3848},{2,72,488},{2,72,488}},
{{68,6,3907},{82,200,3848},{2,24,488},{2,24,488}},
{{77,6,3907},{90,200,3848},{26,120,488},{10,24,488}},
{{97,63,3330},{98,200,3848},{34,120,488},{2,8,496}},
{{106,63,3330},{107,200,3848},{43,120,488},{3,92,488}},
{{114,63,3330},{115,200,3848},{51,120,488},{11,92,488}},
{{122,63,3330},{123,200,3848},{59,120,488},{7,76,496}},
{{130,63,3330},{131,200,3848},{67,120,488},{15,76,496}},
{{139,63,3330},{140,200,3848},{76,120,488},{24,76,496}},
{{147,63,3330},{148,200,3848},{84,120,488},{32,76,496}},
{{155,63,3330},{156,200,3848},{92,120,488},{40,76,496}},
{{164,63,3330},{164,200,3848},{100,120,488},{48,76,496}},
{{173,63,3330},{173,200,3848},{109,120,488},{57,76,496}},
{{184,6,3851},{181,200,3848},{117,120,488},{65,76,496}},
{{192,6,3851},{133,28,3936},{125,120,488},{73,76,496}},
{{189,200,3907},{141,28,3936},{133,120,488},{81,76,496}},
{{198,200,3907},{138,108,4000},{142,120,488},{90,76,496}},
{{206,200,3907},{146,108,4000},{150,120,488},{98,76,496}},
{{214,200,3395},{154,108,4000},{158,120,488},{106,76,496}},
{{190,136,4001},{162,108,4000},{166,120,488},{114,76,496}},
{{123,30,4076},{87,15,4080},{123,30,492},{87,15,496}},
{{117,110,4084},{80,31,4080},{117,110,500},{80,31,496}},
{{125,110,4084},{88,31,4080},{125,110,500},{88,31,496}},
{{133,110,4084},{96,31,4080},{133,110,500},{96,31,496}},
{{9,56,3904},{9,56,3904},{0,67,448},{0,67,448}},
{{1,8,3904},{1,8,3904},{1,84,448},{1,84,448}},
{{1,124,3904},{1,124,3904},{0,39,384},{0,39,384}},
{{9,124,3904},{9,124,3904},{1,4,448},{1,4,448}},
{{6,76,3904},{6,76,3904},{0,70,448},{0,70,448}},
{{62,6,3859},{62,6,3856},{2,38,480},{2,38,480}},
{{70,6,3859},{70,6,3856},{5,43,416},{5,43,416}},
{{78,6,3859},{78,6,3856},{2,11,416},{2,11,416}},
{{87,6,3859},{87,6,3856},{0,171,488},{0,171,488}},
{{67,8,3906},{95,6,3856},{8,171,488},{8,171,488}},
{{75,8,3907},{103,6,3856},{5,123,488},{5,123,488}},
{{83,8,3907},{111,6,3856},{2,75,488},{2,75,488}},
{{92,8,3907},{120,6,3856},{0,27,488},{0,27,488}},
{{100,8,3907},{128,6,3856},{8,27,488},{8,27,488}},
{{120,106,3843},{136,6,3856},{99,6,387},{16,27,488}},
{{128,106,3843},{144,6,3856},{107,6,387},{2,11,496}},
{{137,106,3843},{153,6,3856},{117,6,387},{11,11,496}},
{{145,106,3843},{161,6,3856},{125,6,387},{19,11,496}},
{{163,8,3851},{137,43,3904},{133,6,387},{27,11,496}},
{{171,8,3851},{145,43,3904},{141,6,387},{35,11,496}},
{{180,8,3851},{110,11,4000},{150,6,387},{44,11,496}},
{{188,8,3851},{118,11,4000},{158,6,387},{52,11,496}},
{{172,72,3907},{126,11,4000},{166,6,387},{60,11,496}},
{{174,6,3971},{134,11,4000},{174,6,387},{68,11,496}},
{{183,6,3971},{143,11,4000},{183,6,387},{77,11,496}},
{{191,6,3971},{151,11,4000},{191,6,387},{85,11,496}},
{{199,6,3971},{159,11,4000},{199,6,387},{93,11,496}},
{{92,12,4084},{69,15,4080},{92,12,500},{69,15,496}},
{{101,12,4084},{78,15,4080},{101,12,500},{78,15,496}},
{{110,12,4084},{86,15,4080},{110,12,500},{86,15,496}},
{{118,12,4084},{79,31,4080},{118,12,500},{79,31,496}},
{{126,12,4084},{87,31,4080},{126,12,500},{87,31,496}},
{{71,8,3602},{71,8,3600},{2,21,384},{2,21,384}},
{{79,8,3611},{79,8,3608},{0,69,448},{0,69,448}},
{{87,8,3611},{87,8,3608},{0,23,384},{0,23,384}},
{{95,8,3611},{95,8,3608},{1,5,448},{1,5,448}},
{{104,8,3611},{104,8,3608},{0,88,448},{0,88,448}},
{{112,8,3611},{112,8,3608},{0,72,448},{0,72,448}},
{{120,8,3611},{121,8,3608},{36,21,458},{36,21,456}},
{{133,47,3091},{129,8,3608},{44,21,458},{44,21,456}},
{{142,47,3091},{138,8,3608},{53,21,459},{53,21,456}},
{{98,12,3850},{98,12,3848},{61,21,459},{61,21,456}},
{{106,12,3850},{106,12,3848},{10,92,480},{69,21,456}},
{{114,12,3851},{114,12,3848},{18,92,480},{77,21,456}},
{{123,12,3851},{123,12,3848},{3,44,488},{86,21,456}},
{{95,12,3906},{95,12,3904},{11,44,488},{94,21,456}},
{{103,12,3906},{103,12,3904},{19,44,488},{102,21,456}},
{{111,12,3907},{111,12,3904},{27,44,489},{110,21,456}},
{{120,12,3907},{120,12,3904},{36,44,489},{119,21,456}},
{{128,12,3907},{128,12,3904},{44,44,489},{127,21,456}},
{{136,12,3907},{136,12,3904},{52,44,489},{135,21,456}},
{{144,12,3907},{144,12,3904},{60,44,490},{144,21,456}},
{{153,12,3907},{153,12,3904},{69,44,490},{153,21,456}},
{{161,12,3395},{149,188,3968},{77,44,490},{161,21,456}},
{{169,12,3395},{199,21,3928},{85,44,490},{169,21,456}},
{{113,95,4001},{202,69,3992},{125,8,483},{177,21,456}},
{{122,95,4001},{201,21,3984},{134,8,483},{186,21,456}},
{{143,8,4067},{209,21,3984},{142,8,483},{194,21,456}},
{{151,8,4067},{47,15,4080},{151,8,483},{47,15,496}},
{{159,8,4067},{55,15,4080},{159,8,483},{55,15,496}},
{{168,8,4067},{64,15,4080},{168,8,483},{64,15,496}},
{{160,40,4075},{72,15,4080},{160,40,491},{72,15,496}},
{{168,40,4075},{80,15,4080},{168,40,491},{80,15,496}},
{{144,8,4082},{88,15,4080},{144,8,498},{88,15,496}},
};
static void convert_etc1s_to_etc2_eac_r11(eac_block* pDst_block, const endpoint* pEndpoints, const selector* pSelector)
{
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r;
decoder_etc_block::get_block_color5_r(base_color, inten_table, low_selector, r);
// Constant alpha block
// Select table 13, use selector 4 (0), set multiplier to 1 and base color r
pDst_block->m_base = r;
pDst_block->m_table = 13;
pDst_block->m_multiplier = 1;
// selectors are all 4's
static const uint8_t s_etc2_eac_r11_sel4[6] = { 0x92, 0x49, 0x24, 0x92, 0x49, 0x24 };
memcpy(pDst_block->m_selectors, s_etc2_eac_r11_sel4, sizeof(s_etc2_eac_r11_sel4));
return;
}
uint32_t selector_range_table = 0;
for (selector_range_table = 0; selector_range_table < NUM_ETC2_EAC_SELECTOR_RANGES; selector_range_table++)
if ((low_selector == s_etc2_eac_selector_ranges[selector_range_table].m_low) && (high_selector == s_etc2_eac_selector_ranges[selector_range_table].m_high))
break;
if (selector_range_table >= NUM_ETC2_EAC_SELECTOR_RANGES)
selector_range_table = 0;
const etc1_g_to_eac_conversion* pTable_entry = &s_etc1_g_to_etc2_r11[base_color.r + inten_table * 32][selector_range_table];
pDst_block->m_base = pTable_entry->m_base;
pDst_block->m_table = pTable_entry->m_table_mul >> 4;
pDst_block->m_multiplier = pTable_entry->m_table_mul & 15;
uint64_t selector_bits = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t ds = (pTable_entry->m_trans >> (s * 3)) & 7;
const uint32_t dst_ofs = 45 - (y + x * 4) * 3;
selector_bits |= (static_cast<uint64_t>(ds) << dst_ofs);
}
}
pDst_block->set_selector_bits(selector_bits);
}
#endif // BASISD_SUPPORT_ETC2_EAC_RG11
// ASTC
struct etc1_to_astc_solution
{
uint8_t m_lo;
uint8_t m_hi;
uint16_t m_err;
};
#if BASISD_SUPPORT_ASTC
static dxt_selector_range g_etc1_to_astc_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 },
};
const uint32_t NUM_ETC1_TO_ASTC_SELECTOR_RANGES = sizeof(g_etc1_to_astc_selector_ranges) / sizeof(g_etc1_to_astc_selector_ranges[0]);
static uint32_t g_etc1_to_astc_selector_range_index[4][4];
const uint32_t NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS = 10;
static const uint8_t g_etc1_to_astc_selector_mappings[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS][4] =
{
{ 0, 0, 1, 1 },
{ 0, 0, 1, 2 },
{ 0, 0, 1, 3 },
{ 0, 0, 2, 3 },
{ 0, 1, 1, 1 },
{ 0, 1, 2, 2 },
{ 0, 1, 2, 3 },
{ 0, 2, 3, 3 },
{ 1, 2, 2, 2 },
{ 1, 2, 3, 3 },
};
static const etc1_to_astc_solution g_etc1_to_astc[32 * 8 * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS * NUM_ETC1_TO_ASTC_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_astc.inc ****/
{0,2,18},{0,32,2},{0,16,10},{0,16,10},{0,32,35},{0,16,27},{0,16,11},{0,16,27},{0,16,36},{0,16,28},{0,2,18},{0,32,2},{0,16,10},{0,16,10},{16,0,35},{0,16,27},{0,16,11},{0,16,27},{32,0,35},{0,16,27},{0,16,1},{0,16,1},{0,16,1},{0,16,1},{0,16,2},{0,16,2},{0,16,2},{0,0,4},{0,0,4},{0,0,4},{0,16,1},
{0,16,1},{0,16,1},{0,16,1},{0,16,2},{0,16,2},{0,16,2},{0,0,4},{16,0,2},{0,0,4},{0,2,18},{0,32,2},{0,16,10},{0,16,10},{0,2,18},{2,0,18},{0,16,10},{0,16,18},{2,0,18},{0,16,18},{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},{16,4,44},{16,18,27},{16,2,30},
{16,2,30},{0,4,52},{0,18,20},{0,2,1},{0,32,27},{0,2,77},{0,32,36},{16,4,19},{16,18,2},{16,2,5},{16,2,5},{32,32,51},{0,18,20},{0,2,1},{0,32,27},{32,32,51},{0,32,27},{16,18,26},{16,18,26},{16,18,26},{16,32,27},{0,34,8},{0,2,1},{0,2,1},{0,32,2},{0,32,19},{0,32,11},{16,18,1},{16,18,1},{16,18,1},{16,32,2},{16,2,8},
{0,2,1},{0,2,1},{0,32,2},{34,0,8},{0,32,2},{16,4,18},{16,18,1},{16,2,4},{0,2,0},{16,4,18},{4,16,18},{0,2,0},{0,32,26},{4,16,18},{0,32,26},{16,0,26},{16,0,26},{16,0,26},{16,0,26},{0,18,0},{0,18,0},{0,18,0},{0,32,1},{0,16,10},{0,16,10},{32,36,36},{32,4,20},{32,34,31},{32,18,28},{16,6,60},{32,34,31},{32,18,19},
{16,18,28},{0,34,52},{0,18,22},{2,4,22},{2,34,6},{2,18,14},{2,18,14},{18,2,51},{32,34,22},{32,18,10},{0,18,18},{38,0,51},{0,18,18},{32,4,19},{32,4,19},{32,4,19},{32,18,19},{32,34,17},{32,18,10},{32,18,10},{32,2,13},{16,18,14},{16,2,8},{2,18,5},{2,18,5},{2,18,5},{2,18,5},{2,2,8},{32,18,1},{32,18,1},{32,2,4},{2,2,8},
{32,2,4},{4,0,18},{32,4,2},{2,18,10},{0,34,9},{4,0,18},{8,0,18},{0,34,9},{0,18,18},{8,0,18},{0,18,18},{32,0,18},{32,0,18},{32,0,18},{32,0,18},{32,18,9},{32,18,9},{32,18,9},{32,2,9},{16,2,4},{16,2,4},{18,6,44},{18,20,26},{18,4,30},{18,4,30},{2,6,52},{2,20,21},{2,4,1},{2,34,27},{16,20,52},{32,34,27},{18,6,19},
{18,20,1},{18,4,5},{18,4,5},{20,16,51},{2,20,21},{2,4,1},{2,34,27},{16,20,51},{2,34,27},{18,20,26},{18,20,26},{18,20,26},{18,34,27},{2,36,8},{2,4,1},{2,4,1},{2,34,2},{32,4,11},{32,34,2},{18,20,1},{18,20,1},{18,20,1},{18,34,2},{18,4,8},{2,4,1},{2,4,1},{2,34,2},{36,2,8},{2,34,2},{36,0,18},{18,20,0},{18,4,4},
{2,4,0},{36,0,18},{6,18,18},{2,4,0},{0,34,26},{6,18,18},{0,34,26},{18,0,26},{18,0,26},{18,0,26},{18,0,26},{2,4,1},{2,4,1},{2,4,1},{2,34,1},{32,34,1},{32,34,1},{34,8,40},{34,6,21},{34,36,33},{34,36,28},{34,22,55},{34,36,25},{34,36,13},{34,20,31},{32,6,55},{18,20,20},{4,6,21},{4,36,5},{4,36,5},{4,20,11},{22,0,51},
{34,36,21},{34,36,9},{2,20,19},{32,6,51},{2,20,19},{34,6,21},{34,6,21},{34,6,21},{34,20,21},{34,6,14},{34,20,6},{34,20,6},{34,4,14},{18,20,11},{18,20,11},{4,36,1},{4,36,1},{4,36,1},{4,20,2},{2,24,8},{34,20,2},{34,20,2},{4,4,10},{28,0,8},{4,4,10},{22,16,18},{34,6,1},{4,36,4},{18,36,4},{22,16,18},{44,16,18},{18,36,4},
{0,20,18},{44,16,18},{0,20,18},{34,0,20},{34,0,20},{34,0,20},{34,0,20},{34,20,5},{34,20,5},{34,20,5},{34,4,5},{18,20,2},{18,20,2},{20,8,46},{20,22,27},{20,6,31},{20,6,28},{4,24,52},{4,22,19},{4,6,7},{4,6,36},{18,22,56},{34,6,31},{20,8,21},{20,22,2},{20,6,6},{20,6,3},{36,6,51},{4,22,18},{4,6,6},{18,6,26},{31,0,51},
{18,6,26},{20,22,26},{20,22,26},{20,22,26},{20,6,27},{4,38,9},{4,6,6},{4,6,6},{4,36,1},{34,6,9},{4,36,4},{20,22,1},{20,22,1},{20,22,1},{20,6,2},{22,2,8},{20,36,4},{20,36,4},{4,36,0},{42,2,8},{4,36,0},{22,4,18},{20,22,1},{36,6,2},{4,6,2},{22,4,18},{15,0,18},{4,6,2},{0,6,26},{15,0,18},{0,6,26},{20,0,26},
{20,0,26},{20,0,26},{20,0,26},{4,22,1},{4,22,1},{4,22,1},{4,36,1},{4,36,4},{4,36,4},{36,40,38},{36,8,22},{36,38,33},{36,38,28},{36,24,55},{36,38,25},{36,38,13},{20,22,28},{34,8,55},{4,22,23},{6,8,21},{6,38,5},{6,38,5},{6,22,11},{24,2,51},{36,38,21},{20,38,9},{4,22,19},{13,0,51},{4,22,19},{36,8,21},{36,8,21},{36,8,21},
{36,22,21},{36,8,14},{36,22,6},{36,22,6},{36,6,14},{4,38,10},{4,22,14},{6,38,1},{6,38,1},{6,38,1},{6,22,2},{8,2,8},{36,22,2},{36,22,2},{6,6,10},{30,2,8},{6,6,10},{10,0,18},{36,8,2},{6,38,4},{4,38,5},{10,0,18},{4,8,18},{4,38,5},{0,22,18},{4,8,18},{0,22,18},{36,0,20},{36,0,20},{36,0,20},{36,0,20},{36,22,5},
{36,22,5},{36,22,5},{36,6,5},{4,22,5},{4,22,5},{22,10,46},{22,24,26},{22,8,30},{22,8,30},{6,26,52},{6,24,21},{6,8,5},{6,38,37},{20,24,53},{6,38,40},{22,10,21},{22,24,1},{22,8,5},{22,8,5},{16,11,51},{6,24,20},{6,8,4},{6,38,36},{25,0,51},{6,38,36},{22,24,26},{22,24,26},{22,24,26},{22,8,30},{6,40,9},{6,8,5},{6,8,5},
{6,38,1},{36,8,11},{6,38,4},{22,24,1},{22,24,1},{22,24,1},{22,8,5},{24,4,8},{6,8,4},{6,8,4},{6,38,0},{11,0,8},{6,38,0},{42,0,18},{22,24,0},{22,8,4},{6,8,0},{42,0,18},{9,0,18},{6,8,0},{0,8,36},{9,0,18},{0,8,36},{22,0,26},{22,0,26},{22,0,26},{22,0,26},{6,24,1},{6,24,1},{6,24,1},{6,38,1},{6,38,4},
{6,38,4},{38,12,44},{38,10,30},{38,40,46},{38,40,34},{38,26,53},{38,40,21},{38,40,9},{38,24,25},{6,10,57},{22,24,22},{8,10,21},{8,40,5},{8,40,5},{8,24,17},{28,0,51},{38,40,20},{38,40,8},{6,24,21},{37,0,51},{6,24,21},{38,26,26},{38,26,26},{38,26,26},{38,24,30},{38,10,9},{38,40,5},{38,40,5},{38,24,9},{22,24,11},{22,24,6},{8,40,1},
{8,40,1},{8,40,1},{8,24,1},{38,10,8},{8,24,4},{8,24,4},{6,24,5},{23,0,8},{6,24,5},{16,7,18},{38,10,4},{8,40,4},{6,40,5},{16,7,18},{21,0,18},{6,40,5},{0,24,20},{21,0,18},{0,24,20},{38,0,26},{38,0,26},{38,0,26},{38,0,26},{38,40,1},{38,40,1},{38,40,1},{38,8,2},{22,24,2},{22,24,2},{24,12,38},{24,26,22},{24,10,30},
{24,10,22},{8,28,52},{8,26,19},{8,10,6},{8,40,37},{38,26,55},{38,10,30},{24,12,22},{24,26,6},{24,10,14},{24,10,6},{42,6,51},{8,26,18},{24,10,3},{22,10,26},{19,0,51},{22,10,26},{24,26,21},{24,26,21},{24,26,21},{24,10,21},{8,42,9},{8,10,5},{8,10,5},{8,40,1},{38,10,8},{8,40,4},{24,26,5},{24,26,5},{24,26,5},{24,10,5},{28,2,8},
{24,10,2},{24,10,2},{8,40,0},{42,8,8},{8,40,0},{26,8,18},{24,26,2},{40,10,2},{8,10,1},{26,8,18},{15,6,18},{8,10,1},{0,10,26},{15,6,18},{0,10,26},{24,0,20},{24,0,20},{24,0,20},{24,0,20},{8,26,1},{8,26,1},{8,26,1},{8,40,1},{38,10,4},{38,10,4},{40,14,40},{40,12,21},{40,42,33},{40,42,33},{40,28,55},{40,42,23},{40,42,18},
{40,26,33},{8,12,57},{24,26,22},{10,12,21},{10,42,5},{10,42,5},{10,26,17},{30,2,51},{40,42,19},{24,42,14},{8,26,21},{35,2,51},{8,26,21},{40,12,21},{40,12,21},{40,12,21},{40,26,21},{40,12,14},{40,26,6},{40,26,6},{40,10,14},{8,42,10},{24,26,6},{10,42,1},{10,42,1},{10,42,1},{10,26,1},{16,3,8},{40,26,2},{40,26,2},{8,26,5},{17,0,8},
{8,26,5},{16,1,18},{40,12,1},{10,42,4},{8,42,5},{16,1,18},{19,2,18},{8,42,5},{0,26,20},{19,2,18},{0,26,20},{40,0,20},{40,0,20},{40,0,20},{40,0,20},{40,26,5},{40,26,5},{40,26,5},{40,10,5},{24,26,2},{24,26,2},{26,14,38},{26,28,22},{26,12,30},{26,12,22},{10,30,52},{10,28,21},{10,12,6},{10,42,37},{24,28,53},{40,12,31},{26,14,22},
{26,28,6},{26,12,14},{26,12,6},{47,2,51},{10,28,20},{26,12,3},{24,12,26},{17,2,51},{24,12,26},{26,28,21},{26,28,21},{26,28,21},{26,12,21},{10,44,9},{10,12,5},{10,12,5},{10,42,1},{40,12,9},{40,42,2},{26,28,5},{26,28,5},{26,28,5},{26,12,5},{30,4,8},{26,12,2},{26,12,2},{10,42,0},{15,8,8},{10,42,0},{15,0,18},{26,28,2},{42,12,5},
{10,12,1},{15,0,18},{5,4,18},{10,12,1},{0,12,26},{5,4,18},{0,12,26},{26,0,20},{26,0,20},{26,0,20},{26,0,20},{10,28,1},{10,28,1},{10,28,1},{10,42,1},{40,42,2},{40,42,2},{42,47,46},{42,14,31},{12,44,37},{42,44,31},{42,46,52},{42,44,21},{42,44,6},{42,28,25},{10,14,51},{26,28,20},{12,30,18},{12,14,2},{12,44,1},{12,44,10},{29,0,51},
{42,44,20},{42,44,5},{26,28,20},{37,6,51},{26,28,20},{42,30,26},{42,30,26},{42,30,26},{42,28,30},{42,14,9},{42,44,5},{42,44,5},{42,28,9},{10,44,9},{26,28,4},{12,44,0},{12,44,0},{12,44,0},{12,28,0},{45,0,8},{12,28,4},{12,28,4},{26,28,4},{27,8,8},{26,28,4},{45,2,18},{12,14,2},{12,44,1},{26,44,1},{45,2,18},{25,8,18},{26,44,1},
{0,28,20},{25,8,18},{0,28,20},{42,0,26},{42,0,26},{42,0,26},{42,0,26},{42,44,1},{42,44,1},{42,44,1},{42,12,5},{26,28,0},{26,28,0},{28,47,38},{28,30,22},{28,14,33},{28,14,25},{12,31,55},{12,30,23},{12,14,18},{12,14,33},{42,30,55},{42,14,21},{28,47,22},{28,30,6},{44,14,14},{28,14,9},{46,10,51},{12,30,19},{28,14,6},{26,14,21},{23,8,51},
{26,14,21},{28,30,21},{28,30,21},{28,30,21},{28,14,21},{12,46,14},{12,14,14},{12,14,14},{12,44,6},{42,14,10},{12,44,6},{28,30,5},{28,30,5},{28,30,5},{28,14,5},{29,2,8},{28,14,2},{28,14,2},{12,44,2},{35,6,8},{12,44,2},{8,7,18},{28,30,2},{44,14,5},{12,14,5},{8,7,18},{33,6,18},{12,14,5},{0,14,20},{33,6,18},{0,14,20},{28,0,20},
{28,0,20},{28,0,20},{28,0,20},{12,30,5},{12,30,5},{12,30,5},{12,44,5},{42,14,1},{42,14,1},{44,15,46},{44,47,27},{14,46,37},{44,46,31},{44,31,53},{44,46,21},{44,46,6},{44,30,25},{42,47,55},{28,30,22},{14,31,20},{14,47,8},{14,46,1},{14,46,10},{38,3,51},{44,46,20},{44,46,5},{12,30,21},{35,8,51},{12,30,21},{44,31,26},{44,31,26},{44,31,26},
{44,30,30},{44,47,11},{44,46,5},{44,46,5},{44,30,9},{12,46,9},{28,30,6},{14,46,0},{14,46,0},{14,46,0},{14,30,0},{43,2,8},{14,30,4},{14,30,4},{12,30,5},{21,8,8},{12,30,5},{41,0,18},{44,47,1},{14,46,1},{28,46,1},{41,0,18},{19,8,18},{28,46,1},{0,30,20},{19,8,18},{0,30,20},{44,0,26},{44,0,26},{44,0,26},{44,0,26},{44,46,1},
{44,46,1},{44,46,1},{44,14,5},{28,30,2},{28,30,2},{30,45,38},{30,31,21},{30,47,24},{30,47,24},{14,29,55},{14,31,22},{14,47,8},{14,46,55},{28,31,53},{44,47,41},{30,45,22},{30,31,5},{30,47,8},{30,47,8},{41,2,51},{14,31,18},{14,47,4},{12,47,37},{17,8,51},{12,47,37},{30,31,20},{30,31,20},{30,31,20},{30,47,24},{14,15,14},{14,47,8},{14,47,8},
{14,46,6},{44,47,9},{14,46,6},{30,31,4},{30,31,4},{30,31,4},{30,47,8},{38,1,8},{14,47,4},{14,47,4},{14,46,2},{43,28,8},{14,46,2},{9,0,18},{30,31,1},{46,47,1},{14,47,0},{9,0,18},{0,9,18},{14,47,0},{0,47,36},{0,9,18},{0,47,36},{30,0,20},{30,0,20},{30,0,20},{30,0,20},{14,31,4},{14,31,4},{14,31,4},{14,46,5},{14,46,5},
{14,46,5},{46,43,54},{46,45,41},{47,15,55},{46,15,44},{46,13,51},{46,15,20},{46,15,8},{46,31,24},{14,45,56},{30,31,21},{47,29,21},{47,15,6},{47,15,6},{47,31,17},{23,0,51},{46,15,20},{46,15,8},{30,31,20},{18,9,51},{30,31,20},{46,13,37},{46,13,37},{46,13,37},{46,15,40},{46,45,8},{46,15,4},{46,15,4},{46,31,8},{14,15,14},{30,31,5},{47,15,2},
{47,15,2},{47,15,2},{47,31,1},{39,0,8},{46,15,4},{46,15,4},{30,31,4},{9,28,8},{30,31,4},{39,2,18},{47,15,5},{47,15,5},{30,15,4},{39,2,18},{34,9,18},{30,15,4},{0,31,20},{34,9,18},{0,31,20},{46,0,36},{46,0,36},{46,0,36},{46,0,36},{46,15,0},{46,15,0},{46,15,0},{46,47,1},{30,31,1},{30,31,1},{31,43,38},{31,29,22},{31,45,25},
{31,45,22},{47,43,53},{47,29,19},{47,45,6},{47,15,37},{46,29,52},{46,45,27},{31,43,22},{31,29,6},{31,45,9},{31,45,6},{9,6,51},{47,29,18},{47,45,5},{30,45,26},{32,7,51},{30,45,26},{31,13,21},{31,13,21},{31,13,21},{31,45,21},{47,13,9},{47,45,5},{47,45,5},{47,15,1},{46,45,10},{46,15,8},{31,13,5},{31,13,5},{31,13,5},{31,45,5},{23,2,8},
{31,15,4},{31,15,4},{47,15,0},{20,9,8},{47,15,0},{47,11,18},{31,29,2},{15,45,5},{47,45,1},{47,11,18},{22,9,18},{47,45,1},{0,45,26},{22,9,18},{0,45,26},{31,0,20},{31,0,20},{31,0,20},{31,0,20},{47,29,1},{47,29,1},{47,29,1},{47,15,1},{46,45,1},{46,45,1},{15,11,38},{15,43,21},{15,13,33},{15,13,33},{15,27,55},{15,13,23},{15,13,18},
{15,29,33},{47,13,59},{31,29,22},{45,27,21},{45,13,6},{45,13,6},{45,29,17},{21,2,51},{15,13,19},{15,13,14},{31,29,21},{24,9,51},{31,29,21},{15,27,21},{15,27,21},{15,27,21},{15,29,21},{15,13,14},{15,29,6},{15,29,6},{15,45,14},{47,13,10},{31,29,6},{45,13,2},{45,13,2},{45,13,2},{45,29,1},{37,2,8},{15,29,2},{15,29,2},{31,29,5},{34,7,8},
{31,29,5},{35,0,18},{15,43,1},{45,13,5},{31,13,5},{35,0,18},{36,7,18},{31,13,5},{0,29,20},{36,7,18},{0,29,20},{15,0,20},{15,0,20},{15,0,20},{15,0,20},{15,13,5},{15,13,5},{15,13,5},{15,45,5},{31,29,2},{31,29,2},{29,41,38},{29,27,20},{29,43,25},{29,43,25},{45,41,53},{45,27,21},{45,43,6},{45,13,37},{31,27,53},{15,43,31},{29,41,22},
{29,27,4},{29,43,9},{29,43,9},{35,2,51},{45,27,20},{45,43,5},{31,43,26},{34,5,51},{31,43,26},{29,27,20},{29,27,20},{29,27,20},{29,13,24},{45,11,9},{45,43,5},{45,43,5},{45,13,1},{15,43,9},{15,13,2},{29,27,4},{29,27,4},{29,27,4},{29,13,8},{44,1,8},{29,13,4},{29,13,4},{45,13,0},{26,9,8},{45,13,0},{3,0,18},{29,27,0},{13,43,5},
{45,43,1},{3,0,18},{0,3,18},{45,43,1},{0,43,26},{0,3,18},{0,43,26},{29,0,20},{29,0,20},{29,0,20},{29,0,20},{45,27,1},{45,27,1},{45,27,1},{45,13,1},{15,13,2},{15,13,2},{13,9,46},{13,41,31},{43,11,37},{13,11,31},{13,25,53},{13,11,21},{13,11,6},{13,27,30},{29,11,56},{29,27,22},{43,25,18},{43,41,2},{43,11,1},{43,27,16},{17,0,51},
{13,11,20},{13,11,5},{29,27,21},{18,3,51},{29,27,21},{13,25,26},{13,25,26},{13,25,26},{13,27,27},{13,41,9},{13,27,3},{13,27,3},{13,27,14},{45,11,9},{29,27,6},{43,11,0},{43,11,0},{43,11,0},{43,27,0},{31,5,8},{13,27,2},{13,27,2},{29,27,5},{14,9,8},{29,27,5},{31,3,18},{43,41,2},{43,11,1},{29,11,1},{31,3,18},{34,3,18},{29,11,1},
{0,27,20},{34,3,18},{0,27,20},{13,0,26},{13,0,26},{13,0,26},{13,0,26},{13,11,1},{13,11,1},{13,11,1},{13,43,5},{29,27,2},{29,27,2},{27,39,38},{27,25,22},{27,41,33},{27,41,25},{43,23,55},{43,25,23},{43,41,18},{43,41,33},{13,25,55},{13,41,21},{27,39,22},{27,25,6},{11,41,14},{27,41,9},{27,9,51},{43,25,19},{27,41,6},{13,41,21},{14,7,51},
{13,41,21},{27,9,21},{27,9,21},{27,9,21},{27,41,21},{43,9,14},{43,25,14},{43,25,14},{43,11,5},{13,41,10},{43,11,5},{27,9,5},{27,9,5},{27,9,5},{27,41,5},{17,2,8},{27,41,2},{27,41,2},{43,11,1},{16,1,8},{43,11,1},{43,7,18},{27,25,2},{11,41,5},{27,41,5},{43,7,18},{18,1,18},{27,41,5},{0,41,20},{18,1,18},{0,41,20},{27,0,20},
{27,0,20},{27,0,20},{27,0,20},{43,9,5},{43,9,5},{43,9,5},{43,11,4},{13,41,1},{13,41,1},{11,7,46},{11,39,30},{41,9,37},{11,9,31},{11,23,53},{11,9,21},{11,9,6},{11,25,30},{13,39,55},{27,25,22},{41,23,18},{41,9,4},{41,9,1},{41,25,16},{17,6,51},{11,9,20},{11,9,5},{27,25,21},{20,1,51},{27,25,21},{11,23,26},{11,23,26},{11,23,26},
{11,25,27},{11,39,9},{11,25,3},{11,25,3},{11,25,14},{43,9,9},{27,25,6},{41,9,0},{41,9,0},{41,9,0},{41,25,0},{29,3,8},{11,25,2},{11,25,2},{27,25,5},{43,9,8},{27,25,5},{29,1,18},{41,9,4},{41,9,1},{27,9,1},{29,1,18},{36,1,18},{27,9,1},{0,25,20},{36,1,18},{0,25,20},{11,0,26},{11,0,26},{11,0,26},{11,0,26},{11,9,1},
{11,9,1},{11,9,1},{11,41,2},{27,25,2},{27,25,2},{25,37,38},{25,23,22},{25,39,25},{25,39,25},{41,21,55},{41,23,23},{41,39,9},{41,39,46},{27,23,53},{11,39,30},{25,37,22},{25,23,6},{25,39,9},{25,39,9},{27,3,51},{41,23,19},{41,39,5},{27,39,26},{39,9,51},{27,39,26},{25,7,21},{25,7,21},{25,7,21},{25,9,24},{41,7,14},{41,39,8},{41,39,8},
{41,9,5},{11,39,8},{41,9,5},{25,7,5},{25,7,5},{25,7,5},{25,9,8},{39,11,8},{25,9,4},{25,9,4},{41,9,1},{22,1,8},{41,9,1},{41,5,18},{25,23,2},{9,39,2},{41,39,1},{41,5,18},{23,9,18},{41,39,1},{0,39,26},{23,9,18},{0,39,26},{25,0,20},{25,0,20},{25,0,20},{25,0,20},{41,7,5},{41,7,5},{41,7,5},{41,9,4},{41,9,4},
{41,9,4},{39,21,54},{39,7,40},{39,7,37},{9,7,41},{9,5,51},{9,7,20},{9,7,5},{9,23,30},{41,37,51},{25,23,26},{39,21,18},{39,7,4},{39,7,1},{39,7,17},{11,1,51},{9,7,20},{9,7,5},{25,23,26},{5,9,51},{25,23,26},{39,7,36},{39,7,36},{39,7,36},{39,23,36},{9,21,10},{9,7,4},{9,7,4},{9,23,5},{41,7,12},{25,23,1},{39,7,0},
{39,7,0},{39,7,0},{39,23,0},{25,5,8},{9,7,4},{9,7,4},{25,23,1},{10,1,8},{25,23,1},{25,3,18},{39,7,4},{39,7,1},{25,7,1},{25,3,18},{12,1,18},{25,7,1},{0,23,26},{12,1,18},{0,23,26},{9,0,36},{9,0,36},{9,0,36},{9,0,36},{9,7,0},{9,7,0},{9,7,0},{9,23,4},{25,23,0},{25,23,0},{23,19,38},{23,5,23},{23,21,28},
{23,37,23},{39,19,55},{39,21,25},{39,37,13},{39,37,33},{9,21,53},{9,37,22},{7,21,27},{23,5,14},{7,37,14},{23,37,14},{23,5,51},{39,21,21},{23,37,6},{9,37,21},{14,1,51},{9,37,21},{23,5,19},{23,5,19},{23,5,19},{23,37,19},{39,5,14},{39,21,9},{39,21,9},{39,7,5},{9,37,11},{39,7,5},{23,5,10},{23,5,10},{23,5,10},{7,7,10},{9,3,8},
{23,37,2},{23,37,2},{39,7,1},{31,3,8},{39,7,1},{37,7,18},{23,5,5},{7,37,5},{23,37,5},{37,7,18},{30,1,18},{23,37,5},{0,37,20},{30,1,18},{0,37,20},{23,0,18},{23,0,18},{23,0,18},{23,0,18},{39,5,5},{39,5,5},{39,5,5},{39,7,4},{9,37,2},{9,37,2},{7,33,44},{7,35,31},{7,5,36},{7,5,31},{7,19,53},{7,5,22},{7,5,7},
{7,21,31},{39,35,57},{23,21,27},{37,19,20},{37,5,4},{37,5,1},{37,5,17},{23,17,51},{7,5,21},{7,5,6},{23,21,26},{45,17,51},{23,21,26},{7,19,26},{7,19,26},{7,19,26},{7,5,30},{7,35,9},{7,5,6},{7,5,6},{7,21,6},{39,5,9},{23,21,2},{37,5,0},{37,5,0},{37,5,0},{37,21,0},{23,3,8},{37,21,4},{37,21,4},{23,21,1},{43,3,8},
{23,21,1},{23,1,18},{37,5,4},{37,5,1},{23,5,1},{23,1,18},{33,7,18},{23,5,1},{0,21,26},{33,7,18},{0,21,26},{7,0,26},{7,0,26},{7,0,26},{7,0,26},{7,5,2},{7,5,2},{7,5,2},{7,37,2},{23,21,1},{23,21,1},{21,17,38},{21,19,20},{21,35,31},{21,35,23},{37,17,55},{37,19,22},{37,35,13},{37,35,33},{23,19,56},{7,35,21},{5,19,27},
{21,19,11},{5,35,14},{21,35,14},{21,3,51},{37,19,18},{21,35,6},{7,35,21},{43,1,51},{7,35,21},{21,3,19},{21,3,19},{21,3,19},{21,35,19},{37,3,14},{37,35,9},{37,35,9},{37,5,5},{7,35,10},{37,5,5},{21,3,10},{21,3,10},{21,3,10},{5,5,10},{3,25,8},{21,35,2},{21,35,2},{37,5,1},{29,1,8},{37,5,1},{35,5,18},{21,19,2},{5,35,5},
{21,35,5},{35,5,18},{27,1,18},{21,35,5},{0,35,20},{27,1,18},{0,35,20},{21,0,18},{21,0,18},{21,0,18},{21,0,18},{37,19,4},{37,19,4},{37,19,4},{37,5,4},{7,35,1},{7,35,1},{35,17,44},{35,33,27},{35,3,27},{35,3,35},{5,1,51},{5,3,26},{5,3,1},{5,19,30},{37,33,51},{21,19,26},{35,17,19},{35,33,2},{35,3,2},{35,3,10},{5,1,51},
{5,3,26},{5,3,1},{21,19,26},{9,1,51},{21,19,26},{35,3,27},{35,3,27},{35,3,27},{35,19,27},{5,17,10},{5,3,1},{5,3,1},{5,19,5},{37,3,12},{21,19,1},{35,3,2},{35,3,2},{35,3,2},{35,19,2},{19,5,8},{5,3,1},{5,3,1},{21,19,1},{37,3,8},{21,19,1},{19,3,18},{35,33,1},{35,3,1},{5,3,1},{19,3,18},{39,1,18},{5,3,1},
{0,19,26},{39,1,18},{0,19,26},{35,0,26},{35,0,26},{35,0,26},{35,0,26},{5,3,0},{5,3,0},{5,3,0},{5,19,4},{21,19,0},{21,19,0},{19,1,54},{19,1,22},{19,17,28},{19,33,27},{19,1,61},{35,17,30},{19,33,19},{35,33,31},{5,17,52},{5,33,20},{3,1,24},{3,17,8},{3,33,13},{3,33,17},{17,5,51},{35,17,21},{19,33,10},{5,33,19},{5,17,51},
{5,33,19},{19,1,18},{19,1,18},{19,1,18},{19,33,18},{19,17,19},{19,33,10},{19,33,10},{19,3,14},{5,33,11},{35,3,6},{3,33,4},{3,33,4},{3,33,4},{3,3,8},{3,3,8},{19,33,1},{19,33,1},{19,3,5},{3,3,8},{19,3,5},{33,33,18},{19,1,4},{3,33,9},{19,33,9},{33,33,18},{33,33,18},{19,33,9},{0,33,18},{33,33,18},{0,33,18},{19,0,18},
{19,0,18},{19,0,18},{19,0,18},{35,1,9},{35,1,9},{35,1,9},{19,3,10},{35,3,2},{35,3,2},{33,1,76},{33,1,36},{33,1,27},{33,1,35},{33,1,84},{3,1,26},{3,1,1},{3,17,30},{19,1,56},{19,17,27},{17,1,43},{33,1,11},{33,1,2},{33,1,10},{1,3,51},{3,1,26},{3,1,1},{19,17,26},{3,1,51},{19,17,26},{33,1,27},{33,1,27},{33,1,27},
{33,17,26},{3,1,16},{3,1,1},{3,1,1},{3,17,5},{35,1,12},{19,17,2},{33,1,2},{33,1,2},{33,1,2},{33,17,1},{17,3,8},{3,1,1},{3,1,1},{19,17,1},{35,1,8},{19,17,1},{17,1,18},{17,1,10},{33,1,1},{19,1,0},{17,1,18},{33,1,18},{19,1,0},{0,17,26},{33,1,18},{0,17,26},{33,0,26},{33,0,26},{33,0,26},{33,0,26},{3,1,0},
{3,1,0},{3,1,0},{3,17,4},{19,17,1},{19,17,1},{17,1,36},{17,1,28},{17,1,27},{17,1,19},{17,1,28},{17,1,12},{17,1,11},{17,1,10},{33,1,20},{33,1,2},{1,1,4},{1,1,4},{1,1,4},{1,1,4},{1,17,3},{17,1,3},{17,1,2},{17,1,1},{17,1,3},{17,1,1},{17,1,27},{17,1,27},{17,1,27},{17,1,19},{17,1,19},{17,1,11},{17,1,11},
{17,1,10},{33,1,11},{33,1,2},{1,1,4},{1,1,4},{1,1,4},{1,1,4},{1,17,2},{17,1,2},{17,1,2},{17,1,1},{17,1,2},{17,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{17,0,18},{17,0,18},{17,0,18},{17,0,18},{17,1,10},{17,1,10},{17,1,10},{17,1,10},{33,1,2},
{33,1,2},{0,4,74},{0,18,10},{0,2,1},{0,2,26},{0,34,154},{0,2,99},{0,32,49},{0,32,121},{0,32,162},{0,32,130},{0,4,74},{0,18,10},{0,2,1},{0,2,26},{32,0,153},{0,2,99},{0,32,49},{0,32,121},{0,32,153},{0,32,121},{0,2,0},{0,2,0},{0,2,0},{0,16,4},{0,32,13},{0,16,5},{0,16,5},{0,16,9},{0,16,14},{0,16,10},{0,2,0},
{0,2,0},{0,2,0},{0,16,4},{16,0,13},{0,16,5},{0,16,5},{0,16,9},{32,0,13},{0,16,9},{32,32,72},{0,18,10},{0,2,1},{0,2,26},{32,32,72},{32,32,72},{0,2,26},{0,32,72},{32,32,72},{0,32,72},{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},{0,38,81},{0,20,10},{16,34,34},
{0,18,26},{0,36,243},{0,34,99},{0,18,26},{0,2,139},{0,18,279},{0,2,164},{16,6,76},{16,4,8},{16,34,9},{16,18,24},{18,0,243},{0,34,99},{0,18,26},{0,2,139},{36,0,243},{0,2,139},{0,20,10},{0,20,10},{0,20,10},{0,18,10},{0,34,50},{0,18,10},{0,18,10},{0,32,20},{0,32,61},{0,32,29},{16,4,4},{16,4,4},{16,4,4},{16,2,5},{16,2,50},
{0,18,10},{0,18,10},{0,32,20},{34,0,50},{0,32,20},{18,2,72},{0,20,1},{16,34,5},{0,18,17},{18,2,72},{38,0,72},{0,18,17},{0,18,80},{38,0,72},{0,18,80},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,32,0},{0,32,0},{0,32,0},{0,16,0},{0,16,1},{0,16,1},{16,24,135},{16,6,66},{16,20,122},{16,4,66},{0,8,244},{0,20,81},{0,4,2},
{0,34,121},{0,4,344},{0,34,185},{32,8,74},{32,36,1},{32,4,17},{32,4,17},{16,38,243},{0,20,81},{0,4,2},{0,34,121},{38,16,243},{0,34,121},{16,22,61},{16,22,61},{16,22,61},{16,4,65},{0,6,52},{0,4,1},{0,4,1},{0,18,9},{0,18,94},{0,18,45},{32,36,0},{32,36,0},{32,36,0},{32,34,0},{2,2,50},{0,4,1},{0,4,1},{0,18,9},{2,2,50},
{0,18,9},{20,16,72},{32,36,1},{2,4,1},{0,4,1},{20,16,72},{16,20,72},{0,4,1},{0,34,72},{16,20,72},{0,34,72},{16,0,61},{16,0,61},{16,0,61},{16,0,61},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,32,25},{0,32,25},{32,26,152},{2,22,91},{2,36,119},{32,20,89},{16,10,247},{16,6,78},{16,36,13},{16,4,110},{0,36,293},{0,4,103},{18,8,76},
{18,6,8},{18,36,9},{2,20,19},{20,2,243},{16,6,74},{32,20,9},{0,4,94},{42,0,243},{0,4,94},{32,8,81},{32,8,81},{32,8,81},{32,20,80},{16,8,54},{16,36,9},{16,36,9},{16,34,8},{0,4,77},{0,34,6},{18,6,4},{18,6,4},{18,6,4},{18,4,5},{18,4,50},{32,20,0},{32,20,0},{16,34,4},{36,2,50},{16,34,4},{18,8,72},{2,22,1},{18,36,5},
{0,36,4},{18,8,72},{44,0,72},{0,36,4},{0,4,90},{44,0,72},{0,4,90},{32,0,80},{32,0,80},{32,0,80},{32,0,80},{16,6,4},{16,6,4},{16,6,4},{16,34,4},{0,34,2},{0,34,2},{18,42,146},{18,8,83},{18,22,139},{18,6,79},{2,26,243},{2,38,78},{2,6,9},{2,36,110},{0,38,252},{0,36,79},{34,10,73},{34,8,6},{4,6,21},{34,6,14},{38,0,243},
{2,38,78},{18,6,6},{0,36,75},{30,0,243},{0,36,75},{18,24,75},{18,24,75},{18,24,75},{18,6,75},{2,24,50},{2,6,5},{2,6,5},{2,20,4},{0,6,53},{16,20,2},{34,8,2},{34,8,2},{34,8,2},{34,36,2},{2,24,50},{18,6,2},{18,6,2},{16,20,1},{28,0,50},{16,20,1},{36,6,72},{34,8,5},{4,6,5},{2,6,5},{36,6,72},{31,0,72},{2,6,5},
{0,36,74},{31,0,72},{0,36,74},{18,0,74},{18,0,74},{18,0,74},{18,0,74},{2,22,0},{2,22,0},{2,22,0},{2,4,4},{16,20,2},{16,20,2},{4,12,154},{4,24,85},{4,38,106},{34,38,95},{18,12,253},{18,8,90},{34,38,15},{18,6,122},{0,24,244},{16,22,93},{20,10,76},{20,8,9},{20,38,6},{20,22,24},{24,0,243},{18,8,81},{34,38,6},{0,22,80},{32,8,243},
{0,22,80},{4,40,80},{4,40,80},{4,40,80},{4,22,80},{34,24,59},{34,22,10},{34,22,10},{18,36,19},{32,22,53},{32,6,5},{20,8,5},{20,8,5},{20,8,5},{20,6,8},{22,2,50},{34,22,1},{34,22,1},{32,6,4},{42,2,50},{32,6,4},{24,2,72},{20,8,5},{20,38,2},{18,38,1},{24,2,72},{13,0,72},{18,38,1},{0,22,80},{13,0,72},{0,22,80},{4,0,80},
{4,0,80},{4,0,80},{4,0,80},{34,22,9},{34,22,9},{34,22,9},{18,36,10},{32,6,1},{32,6,1},{20,28,146},{20,10,77},{20,8,122},{20,8,77},{4,28,243},{4,40,78},{4,8,5},{4,38,110},{32,40,244},{2,38,79},{36,12,73},{36,40,2},{6,8,18},{36,8,18},{38,6,243},{34,40,73},{4,8,5},{2,38,75},{27,0,243},{2,38,75},{20,26,73},{20,26,73},{20,26,73},
{20,8,76},{4,26,50},{4,8,4},{4,8,4},{4,22,4},{2,8,50},{18,22,2},{36,40,1},{36,40,1},{36,40,1},{36,38,2},{8,2,50},{4,8,4},{4,8,4},{18,22,1},{30,2,50},{18,22,1},{16,11,72},{36,40,1},{6,8,2},{4,8,1},{16,11,72},{25,0,72},{4,8,1},{0,38,74},{25,0,72},{0,38,74},{20,0,72},{20,0,72},{20,0,72},{20,0,72},{4,24,0},
{4,24,0},{4,24,0},{4,6,4},{18,22,2},{18,22,2},{6,14,154},{6,26,85},{6,40,109},{6,24,97},{20,14,248},{20,10,78},{20,40,13},{20,8,110},{2,26,244},{34,8,91},{22,12,76},{22,10,9},{22,40,9},{22,24,29},{26,2,243},{20,10,74},{20,40,9},{2,24,80},{38,8,243},{2,24,80},{6,42,80},{6,42,80},{6,42,80},{6,24,81},{20,12,54},{20,40,9},{20,40,9},
{20,38,13},{34,24,53},{34,8,10},{22,10,5},{22,10,5},{22,10,5},{22,8,5},{24,4,50},{36,24,1},{36,24,1},{34,8,9},{11,0,50},{34,8,9},{26,4,72},{22,10,5},{22,40,5},{4,40,5},{26,4,72},{7,0,72},{4,40,5},{0,24,80},{7,0,72},{0,24,80},{6,0,80},{6,0,80},{6,0,80},{6,0,80},{20,10,4},{20,10,4},{20,10,4},{20,38,4},{34,8,1},
{34,8,1},{22,46,146},{22,12,83},{38,26,122},{22,10,79},{6,30,245},{6,42,74},{6,10,10},{6,40,111},{4,42,247},{20,40,79},{38,14,76},{38,12,5},{8,10,21},{38,10,17},{44,0,243},{6,42,73},{6,10,9},{4,40,74},{26,8,243},{4,40,74},{22,28,75},{22,28,75},{22,28,75},{22,10,75},{6,28,51},{6,10,6},{6,10,6},{6,24,6},{4,10,53},{20,24,6},{38,12,4},
{38,12,4},{38,12,4},{38,40,5},{38,10,50},{22,40,4},{22,40,4},{36,24,1},{23,0,50},{36,24,1},{42,6,72},{38,12,1},{8,10,5},{6,10,5},{42,6,72},{19,0,72},{6,10,5},{0,40,74},{19,0,72},{0,40,74},{22,0,74},{22,0,74},{22,0,74},{22,0,74},{6,26,2},{6,26,2},{6,26,2},{6,8,5},{20,24,5},{20,24,5},{8,46,154},{8,28,85},{8,42,106},
{8,42,97},{38,46,247},{38,12,82},{38,42,10},{22,26,119},{4,28,247},{36,26,83},{24,14,75},{24,28,6},{24,42,6},{24,26,30},{30,0,243},{38,12,78},{38,42,6},{4,26,75},{33,0,243},{4,26,75},{8,44,80},{8,44,80},{8,44,80},{8,26,80},{38,28,56},{38,26,9},{38,26,9},{38,40,14},{20,42,54},{6,10,9},{24,12,1},{24,12,1},{24,12,1},{24,10,5},{28,2,50},
{38,26,5},{38,26,5},{6,10,5},{42,8,50},{6,10,5},{30,2,72},{8,28,5},{24,42,5},{22,42,1},{30,2,72},{35,2,72},{22,42,1},{0,26,74},{35,2,72},{0,26,74},{8,0,80},{8,0,80},{8,0,80},{8,0,80},{38,26,5},{38,26,5},{38,26,5},{38,40,5},{6,40,4},{6,40,4},{24,15,146},{24,14,83},{24,28,126},{24,12,79},{8,31,243},{8,44,78},{8,12,9},
{8,42,110},{36,44,245},{22,42,79},{40,46,75},{40,14,6},{10,12,21},{40,12,14},{47,0,243},{8,44,78},{8,12,9},{6,42,74},{27,6,243},{6,42,74},{24,30,75},{24,30,75},{24,30,75},{24,12,75},{8,14,52},{8,12,5},{8,12,5},{8,26,5},{6,12,53},{22,26,6},{40,14,2},{40,14,2},{40,14,2},{40,42,1},{16,3,50},{24,42,4},{24,42,4},{38,26,1},{17,0,50},
{38,26,1},{47,2,72},{40,14,5},{10,12,5},{8,12,5},{47,2,72},{17,2,72},{8,12,5},{0,42,74},{17,2,72},{0,42,74},{24,0,74},{24,0,74},{24,0,74},{24,0,74},{8,28,0},{8,28,0},{8,28,0},{8,10,1},{22,26,5},{22,26,5},{10,15,152},{10,30,85},{10,44,106},{40,44,95},{40,31,252},{24,14,90},{40,44,15},{24,12,122},{6,30,247},{38,28,89},{26,47,73},
{26,30,6},{26,44,6},{26,28,21},{34,3,243},{8,30,76},{40,44,6},{6,28,80},{35,4,243},{6,28,80},{10,46,80},{10,46,80},{10,46,80},{10,28,81},{40,30,59},{40,28,10},{40,28,10},{24,42,18},{22,44,51},{8,12,9},{26,14,1},{26,14,1},{26,14,1},{26,12,5},{30,4,50},{40,28,1},{40,28,1},{8,12,5},{15,8,50},{8,12,5},{15,2,72},{10,30,5},{26,44,5},
{24,44,1},{15,2,72},{33,4,72},{24,44,1},{0,28,80},{33,4,72},{0,28,80},{10,0,80},{10,0,80},{10,0,80},{10,0,80},{40,28,9},{40,28,9},{40,28,9},{24,42,9},{8,12,5},{8,12,5},{26,13,152},{26,47,89},{42,30,122},{26,14,89},{10,29,245},{10,46,74},{10,30,15},{10,44,106},{8,46,247},{24,44,81},{42,45,76},{42,47,9},{12,30,18},{42,14,17},{4,1,243},
{10,46,73},{26,14,10},{8,44,80},{1,4,243},{8,44,80},{26,15,80},{26,15,80},{26,15,80},{26,14,80},{10,31,51},{10,30,6},{10,30,6},{10,28,6},{24,14,54},{24,28,6},{42,47,5},{42,47,5},{42,47,5},{42,44,5},{45,0,50},{26,14,1},{26,14,1},{40,28,1},{27,8,50},{40,28,1},{46,10,72},{12,46,5},{12,30,9},{26,14,9},{46,10,72},{23,8,72},{26,14,9},
{0,44,80},{23,8,72},{0,44,80},{26,0,80},{26,0,80},{26,0,80},{26,0,80},{10,30,2},{10,30,2},{10,30,2},{10,12,5},{24,44,1},{24,44,1},{12,13,148},{12,31,79},{12,46,110},{12,46,83},{42,29,248},{42,47,85},{42,46,5},{26,30,126},{8,31,247},{40,30,83},{28,29,75},{28,47,5},{28,46,5},{28,46,26},{27,0,243},{26,31,80},{42,46,1},{8,30,75},{37,8,243},
{8,30,75},{12,15,74},{12,15,74},{12,15,74},{12,30,74},{42,15,56},{42,46,5},{42,46,5},{26,14,21},{24,46,56},{10,14,2},{28,47,1},{28,47,1},{28,47,1},{28,14,5},{29,2,50},{42,46,1},{42,46,1},{10,14,1},{35,6,50},{10,14,1},{38,3,72},{28,47,4},{44,46,1},{26,46,1},{38,3,72},{35,8,72},{26,46,1},{0,30,74},{35,8,72},{0,30,74},{12,0,74},
{12,0,74},{12,0,74},{12,0,74},{42,46,4},{42,46,4},{42,46,4},{42,44,5},{10,14,1},{10,14,1},{28,11,146},{28,45,84},{44,47,121},{28,47,79},{12,27,244},{12,15,79},{12,47,6},{12,46,106},{40,15,244},{26,46,81},{44,43,76},{44,15,6},{14,47,11},{44,47,14},{28,13,243},{42,15,76},{12,47,5},{10,46,80},{27,12,243},{10,46,80},{28,13,75},{28,13,75},{28,13,75},
{28,47,78},{12,29,51},{12,47,5},{12,47,5},{12,30,6},{10,47,51},{26,30,6},{44,15,5},{44,15,5},{44,15,5},{44,46,5},{43,2,50},{12,47,4},{12,47,4},{42,30,1},{21,8,50},{42,30,1},{41,2,72},{44,15,2},{14,47,2},{12,47,1},{41,2,72},{17,8,72},{12,47,1},{0,46,80},{17,8,72},{0,46,80},{28,0,74},{28,0,74},{28,0,74},{28,0,74},{12,31,1},
{12,31,1},{12,31,1},{12,14,5},{26,46,1},{26,46,1},{14,11,148},{14,29,79},{14,15,114},{14,31,90},{44,27,248},{28,45,84},{28,15,18},{28,47,115},{10,29,247},{42,47,91},{30,27,75},{30,45,5},{30,15,6},{30,31,21},{40,3,243},{28,45,75},{28,15,9},{10,31,80},{16,9,243},{10,31,80},{14,13,74},{14,13,74},{14,13,74},{14,31,74},{44,13,56},{44,31,6},{44,31,6},
{44,46,21},{42,31,52},{42,47,10},{30,45,1},{30,45,1},{30,45,1},{30,47,2},{38,1,50},{44,31,2},{44,31,2},{42,47,9},{43,28,50},{42,47,9},{29,12,72},{30,45,4},{30,15,5},{12,15,5},{29,12,72},{26,13,72},{12,15,5},{0,31,80},{26,13,72},{0,31,80},{14,0,74},{14,0,74},{14,0,74},{14,0,74},{44,15,5},{44,15,5},{44,15,5},{44,46,5},{42,47,1},
{42,47,1},{30,9,154},{46,43,91},{46,29,115},{30,45,85},{14,9,247},{14,13,77},{14,29,18},{14,15,114},{12,13,247},{28,15,79},{46,25,83},{46,43,10},{47,45,21},{46,45,17},{10,1,243},{14,13,73},{30,45,6},{12,15,74},{4,9,243},{12,15,74},{30,11,80},{30,11,80},{30,11,80},{30,45,81},{14,11,56},{14,29,9},{14,29,9},{14,31,6},{12,45,56},{44,31,5},{46,43,9},
{46,43,9},{46,43,9},{46,15,10},{39,0,50},{30,45,2},{30,45,2},{44,31,1},{9,28,50},{44,31,1},{9,6,72},{46,43,1},{47,45,5},{14,45,5},{9,6,72},{32,7,72},{14,45,5},{0,15,74},{32,7,72},{0,15,74},{30,0,80},{30,0,80},{30,0,80},{30,0,80},{14,13,5},{14,13,5},{14,13,5},{14,31,5},{44,31,4},{44,31,4},{47,9,154},{47,27,81},{47,13,106},
{47,13,97},{46,9,244},{46,43,79},{46,13,6},{46,45,121},{12,27,248},{44,29,84},{31,25,75},{31,27,6},{31,13,6},{31,29,30},{21,0,243},{46,43,78},{46,13,5},{12,29,75},{18,7,243},{12,29,75},{47,11,80},{47,11,80},{47,11,80},{47,29,80},{46,11,51},{46,13,5},{46,13,5},{46,15,11},{28,13,54},{14,45,6},{31,43,1},{31,43,1},{31,43,1},{31,29,5},{23,2,50},
{46,13,4},{46,13,4},{14,45,5},{20,9,50},{14,45,5},{21,2,72},{47,27,1},{15,13,5},{30,13,1},{21,2,72},{24,9,72},{30,13,1},{0,29,74},{24,9,72},{0,29,74},{47,0,80},{47,0,80},{47,0,80},{47,0,80},{46,13,1},{46,13,1},{46,13,1},{46,15,2},{14,45,2},{14,45,2},{31,7,146},{31,41,83},{31,27,126},{31,43,79},{47,23,243},{47,11,78},{47,43,5},
{47,13,110},{14,11,247},{30,13,79},{15,9,75},{15,11,2},{15,27,21},{15,43,14},{14,3,243},{47,11,78},{47,43,5},{14,13,74},{32,5,243},{14,13,74},{31,9,75},{31,9,75},{31,9,75},{31,43,75},{47,25,52},{47,43,1},{47,43,1},{47,29,5},{14,43,56},{46,29,5},{15,11,1},{15,11,1},{15,11,1},{15,13,1},{37,2,50},{47,43,1},{47,43,1},{46,29,1},{34,7,50},
{46,29,1},{35,2,72},{15,11,1},{45,43,5},{47,43,4},{35,2,72},{34,5,72},{47,43,4},{0,13,74},{34,5,72},{0,13,74},{31,0,74},{31,0,74},{31,0,74},{31,0,74},{47,27,1},{47,27,1},{47,27,1},{47,45,1},{46,29,4},{46,29,4},{45,7,152},{45,25,81},{45,11,106},{45,11,97},{15,23,253},{31,25,90},{31,11,15},{31,43,122},{14,25,247},{46,27,89},{29,39,73},
{29,25,6},{29,11,6},{29,27,26},{46,3,243},{47,25,76},{31,11,6},{14,27,80},{16,3,243},{14,27,80},{45,9,80},{45,9,80},{45,9,80},{45,27,81},{15,25,59},{15,27,10},{15,27,10},{31,13,18},{30,11,54},{46,43,9},{29,41,1},{29,41,1},{29,41,1},{29,43,2},{44,1,50},{15,27,1},{15,27,1},{46,43,5},{26,9,50},{46,43,5},{46,1,72},{45,25,1},{13,11,5},
{31,11,2},{46,1,72},{26,7,72},{31,11,2},{0,27,80},{26,7,72},{0,27,80},{45,0,80},{45,0,80},{45,0,80},{45,0,80},{15,27,9},{15,27,9},{15,27,9},{31,13,9},{47,13,5},{47,13,5},{29,5,154},{29,39,89},{13,25,122},{29,41,89},{45,21,245},{45,9,74},{45,41,15},{45,11,106},{47,9,247},{31,11,85},{13,37,76},{13,9,9},{43,25,18},{13,41,17},{1,0,243},
{45,9,73},{29,41,10},{47,11,80},{0,1,243},{47,11,80},{29,7,80},{29,7,80},{29,7,80},{29,41,80},{45,23,51},{45,41,6},{45,41,6},{45,27,6},{31,41,54},{31,27,6},{13,9,5},{13,9,5},{13,9,5},{13,11,5},{31,5,50},{29,41,1},{29,41,1},{15,27,1},{14,9,50},{15,27,1},{27,9,72},{13,9,5},{43,25,9},{29,41,9},{27,9,72},{14,7,72},{29,41,9},
{0,11,80},{14,7,72},{0,11,80},{29,0,80},{29,0,80},{29,0,80},{29,0,80},{45,25,1},{45,25,1},{45,25,1},{45,27,5},{31,11,5},{31,11,5},{43,5,148},{43,23,79},{43,9,110},{43,9,83},{13,21,248},{13,39,85},{13,9,9},{29,25,126},{47,23,248},{15,25,83},{27,21,75},{27,23,6},{27,9,5},{27,9,26},{15,1,243},{29,23,74},{13,9,5},{31,25,75},{9,11,243},
{31,25,75},{43,7,74},{43,7,74},{43,7,74},{43,25,74},{13,7,56},{13,9,9},{13,9,9},{13,11,21},{15,9,56},{15,41,6},{27,39,1},{27,39,1},{27,39,1},{27,25,5},{17,2,50},{43,25,4},{43,25,4},{15,41,2},{16,1,50},{15,41,2},{17,6,72},{27,23,5},{11,9,1},{29,9,0},{17,6,72},{20,1,72},{29,9,0},{0,25,74},{20,1,72},{0,25,74},{43,0,74},
{43,0,74},{43,0,74},{43,0,74},{13,9,5},{13,9,5},{13,9,5},{13,11,5},{15,41,5},{15,41,5},{27,3,146},{27,37,83},{27,23,119},{27,39,79},{43,19,244},{43,7,79},{43,39,10},{43,9,106},{15,7,245},{29,9,85},{11,35,76},{11,7,9},{41,39,14},{11,39,17},{27,5,243},{13,7,78},{27,39,9},{45,9,80},{6,1,243},{45,9,80},{27,5,75},{27,5,75},{27,5,75},
{27,39,75},{43,21,51},{43,39,6},{43,39,6},{43,25,6},{45,39,53},{29,25,6},{11,7,5},{11,7,5},{11,7,5},{11,9,5},{29,3,50},{27,39,5},{27,39,5},{13,25,1},{43,9,50},{13,25,1},{27,3,72},{41,7,4},{41,39,5},{27,39,5},{27,3,72},{39,9,72},{27,39,5},{0,9,80},{39,9,72},{0,9,80},{27,0,74},{27,0,74},{27,0,74},{27,0,74},{43,23,1},
{43,23,1},{43,23,1},{43,25,5},{29,9,5},{29,9,5},{41,3,148},{41,21,79},{41,7,111},{41,7,91},{11,19,248},{11,37,85},{11,7,10},{27,39,122},{45,21,248},{13,23,83},{25,19,75},{25,21,6},{25,7,6},{25,23,30},{17,10,243},{27,21,81},{11,7,6},{29,23,75},{24,1,243},{29,23,75},{41,5,74},{41,5,74},{41,5,74},{41,23,74},{11,5,56},{11,7,9},{11,7,9},
{11,9,21},{29,7,54},{13,39,5},{25,37,1},{25,37,1},{25,37,1},{25,39,2},{39,11,50},{41,23,4},{41,23,4},{13,39,4},{22,1,50},{13,39,4},{39,7,72},{25,21,5},{9,7,5},{27,7,2},{39,7,72},{26,1,72},{27,7,2},{0,23,74},{26,1,72},{0,23,74},{41,0,74},{41,0,74},{41,0,74},{41,0,74},{11,7,5},{11,7,5},{11,7,5},{11,9,5},{13,39,1},
{13,39,1},{25,1,154},{9,35,91},{9,21,110},{25,37,89},{41,1,247},{41,5,77},{41,21,13},{41,7,109},{43,5,247},{27,7,85},{39,19,81},{9,35,10},{39,21,13},{9,37,22},{41,1,243},{41,5,73},{41,21,9},{43,7,80},{47,3,243},{43,7,80},{25,3,80},{25,3,80},{25,3,80},{25,37,80},{41,3,56},{41,21,9},{41,21,9},{41,23,9},{27,37,54},{11,23,9},{39,21,9},
{39,21,9},{39,21,9},{9,7,10},{25,5,50},{25,37,1},{25,37,1},{11,23,5},{10,1,50},{11,23,5},{23,5,72},{9,35,1},{39,21,4},{11,21,4},{23,5,72},{14,1,72},{11,21,4},{0,7,80},{14,1,72},{0,7,80},{25,0,80},{25,0,80},{25,0,80},{25,0,80},{41,5,5},{41,5,5},{41,5,5},{41,23,5},{27,7,5},{27,7,5},{39,1,148},{39,3,79},{39,5,110},
{39,5,83},{9,1,244},{9,35,79},{9,5,5},{9,21,122},{43,19,248},{11,21,77},{23,17,72},{23,19,2},{23,5,4},{23,5,25},{9,1,243},{25,19,74},{9,5,4},{27,21,73},{46,1,243},{27,21,73},{39,3,75},{39,3,75},{39,3,75},{39,21,75},{9,3,51},{9,5,5},{9,5,5},{9,7,18},{11,5,53},{41,37,2},{23,19,1},{23,19,1},{23,19,1},{23,21,1},{9,3,50},
{9,5,4},{9,5,4},{41,37,1},{31,3,50},{41,37,1},{23,17,72},{23,19,2},{7,5,4},{25,5,0},{23,17,72},{45,17,72},{25,5,0},{0,21,72},{45,17,72},{0,21,72},{39,0,74},{39,0,74},{39,0,74},{39,0,74},{9,5,1},{9,5,1},{9,5,1},{9,7,2},{41,37,1},{41,37,1},{7,1,184},{23,17,93},{7,19,122},{23,35,89},{23,1,260},{39,3,74},{39,35,15},
{39,5,106},{41,3,247},{25,5,85},{37,17,81},{7,33,5},{37,19,19},{7,35,17},{19,9,243},{39,3,73},{23,35,10},{41,5,80},{45,1,243},{41,5,80},{23,1,80},{23,1,80},{23,1,80},{23,35,80},{39,17,51},{39,35,6},{39,35,6},{39,21,6},{25,35,54},{9,21,9},{7,33,4},{7,33,4},{7,33,4},{7,5,5},{23,3,50},{23,35,1},{23,35,1},{9,21,5},{43,3,50},
{9,21,5},{21,3,72},{7,33,1},{37,19,10},{23,35,9},{21,3,72},{43,1,72},{23,35,9},{0,5,80},{43,1,72},{0,5,80},{23,0,80},{23,0,80},{23,0,80},{23,0,80},{39,19,1},{39,19,1},{39,19,1},{39,21,2},{25,5,5},{25,5,5},{21,1,234},{37,1,79},{37,3,110},{37,3,90},{37,1,300},{7,33,82},{7,3,9},{23,19,139},{41,17,248},{9,19,83},{21,1,90},
{21,17,2},{21,3,4},{21,3,25},{21,17,243},{23,17,74},{7,3,5},{25,19,75},{17,21,243},{25,19,75},{37,1,75},{37,1,75},{37,1,75},{37,19,74},{7,1,56},{7,19,6},{7,19,6},{7,5,21},{9,3,53},{9,35,6},{21,17,1},{21,17,1},{21,17,1},{21,19,4},{3,25,50},{7,19,2},{7,19,2},{9,35,2},{29,1,50},{9,35,2},{17,39,72},{21,17,2},{5,3,4},
{23,3,0},{17,39,72},{39,17,72},{23,3,0},{0,19,74},{39,17,72},{0,19,74},{37,0,74},{37,0,74},{37,0,74},{37,0,74},{7,3,5},{7,3,5},{7,3,5},{7,5,5},{9,35,5},{9,35,5},{5,1,290},{5,1,103},{5,17,110},{21,33,106},{5,1,345},{37,1,78},{37,17,13},{37,3,119},{39,1,248},{23,3,91},{35,1,126},{35,1,6},{35,17,8},{5,33,29},{35,1,243},
{37,1,74},{37,17,9},{9,33,81},{1,35,243},{9,33,81},{5,1,94},{5,1,94},{5,1,94},{21,33,90},{21,1,61},{37,17,9},{37,17,9},{37,19,9},{23,33,53},{7,19,8},{35,17,4},{35,17,4},{35,17,4},{35,3,4},{19,5,50},{21,33,0},{21,33,0},{7,19,4},{37,3,50},{7,19,4},{17,5,72},{35,1,2},{35,17,4},{7,17,4},{17,5,72},{5,17,72},{7,17,4},
{0,33,80},{5,17,72},{0,33,80},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{37,1,4},{37,1,4},{37,1,4},{37,19,5},{23,3,1},{23,3,1},{19,1,349},{35,1,185},{35,1,121},{35,1,81},{19,1,398},{5,1,102},{5,1,2},{21,17,122},{37,1,270},{7,17,66},{3,1,126},{19,1,45},{19,1,9},{19,1,25},{33,33,221},{35,1,82},{5,1,1},{23,17,61},{33,33,221},
{23,17,61},{35,1,121},{35,1,121},{35,1,121},{35,17,73},{35,1,94},{5,1,2},{5,1,2},{5,33,17},{7,1,53},{37,33,1},{19,1,9},{19,1,9},{19,1,9},{19,17,1},{3,3,50},{5,1,1},{5,1,1},{37,33,0},{3,3,50},{37,33,0},{1,3,61},{33,1,25},{3,1,1},{5,1,1},{1,3,61},{3,1,61},{5,1,1},{0,17,61},{3,1,61},{0,17,61},{35,0,72},
{35,0,72},{35,0,72},{35,0,72},{5,1,1},{5,1,1},{5,1,1},{5,3,1},{37,33,1},{37,33,1},{3,1,239},{3,1,164},{3,1,139},{19,1,89},{3,1,239},{19,1,62},{19,1,26},{35,17,34},{35,1,163},{21,1,10},{33,1,69},{33,1,29},{33,1,20},{33,1,4},{1,3,93},{3,1,38},{19,1,10},{21,1,10},{3,1,93},{21,1,10},{3,1,139},{3,1,139},{3,1,139},
{19,1,89},{19,1,138},{19,1,26},{19,1,26},{35,17,9},{5,1,74},{5,17,8},{33,1,20},{33,1,20},{33,1,20},{33,1,4},{17,3,50},{19,1,10},{19,1,10},{5,17,4},{35,1,50},{5,17,4},{1,17,5},{17,1,1},{17,1,0},{33,1,0},{1,17,5},{17,1,5},{33,1,0},{0,1,9},{17,1,5},{0,1,9},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{19,1,17},
{19,1,17},{19,1,17},{35,17,5},{21,1,1},{21,1,1},{17,1,162},{33,1,130},{33,1,121},{33,1,81},{33,1,138},{33,1,58},{33,1,49},{3,1,1},{19,1,82},{19,1,10},{17,1,18},{17,1,10},{17,1,9},{17,1,1},{1,17,18},{17,1,6},{17,1,5},{3,1,0},{17,1,18},{3,1,0},{33,1,121},{33,1,121},{33,1,121},{33,1,81},{33,1,89},{33,1,49},{33,1,49},
{3,1,1},{19,1,46},{19,1,10},{17,1,9},{17,1,9},{17,1,9},{17,1,1},{17,1,13},{17,1,5},{17,1,5},{3,1,0},{33,1,13},{3,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{33,0,72},{33,0,72},{33,0,72},{33,0,72},{3,1,26},{3,1,26},{3,1,26},{3,1,1},{19,1,10},
{19,1,10},{0,38,200},{0,20,25},{0,34,5},{0,34,85},{0,20,442},{0,34,266},{0,18,125},{0,2,318},{0,18,482},{0,2,343},{0,38,200},{0,20,25},{0,34,5},{0,34,85},{16,4,441},{0,34,266},{0,18,125},{0,2,318},{4,16,441},{0,2,318},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,41},{0,32,13},{0,32,13},{0,16,25},{0,16,46},{0,16,26},{0,4,1},
{0,4,1},{0,4,1},{0,2,1},{0,2,41},{0,32,13},{0,32,13},{0,16,25},{2,0,41},{0,16,25},{18,2,200},{0,20,25},{0,34,5},{0,34,85},{18,2,200},{38,0,200},{0,34,85},{0,18,208},{38,0,200},{0,18,208},{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},{0,10,202},{0,22,1},{0,20,26},
{0,4,41},{0,22,689},{0,20,352},{0,4,141},{0,18,468},{0,34,750},{0,18,504},{0,10,202},{0,22,1},{0,20,26},{0,4,41},{34,0,686},{0,20,352},{0,4,141},{0,18,468},{0,34,686},{0,18,468},{0,22,0},{0,22,0},{0,22,0},{0,34,1},{0,34,145},{0,18,45},{0,18,45},{0,32,85},{0,32,158},{0,32,94},{0,22,0},{0,22,0},{0,22,0},{0,34,1},{16,2,145},
{0,18,45},{0,18,45},{0,32,85},{34,0,145},{0,32,85},{20,16,200},{0,22,1},{16,20,5},{0,4,41},{20,16,200},{16,20,200},{0,4,41},{0,34,200},{16,20,200},{0,34,200},{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},{16,12,229},{16,8,30},{16,6,74},{16,36,58},{0,10,723},{0,6,282},{0,36,69},
{0,4,414},{0,20,868},{0,34,513},{16,12,204},{16,8,5},{32,6,29},{16,36,33},{4,2,723},{0,6,282},{0,36,69},{0,4,414},{10,0,723},{0,4,414},{16,8,30},{16,8,30},{16,8,30},{16,4,33},{0,6,164},{0,4,25},{0,4,25},{0,18,65},{0,18,206},{0,18,101},{16,8,5},{16,8,5},{16,8,5},{16,4,8},{2,2,162},{0,4,25},{0,4,25},{0,18,65},{2,2,162},
{0,18,65},{18,8,200},{16,8,1},{2,36,5},{0,36,20},{18,8,200},{44,0,200},{0,36,20},{0,4,218},{44,0,200},{0,4,218},{16,0,29},{16,0,29},{16,0,29},{16,0,29},{0,18,1},{0,18,1},{0,18,1},{0,32,0},{0,32,9},{0,32,9},{16,30,327},{32,40,139},{32,22,202},{16,6,151},{0,28,724},{0,8,236},{0,22,14},{0,20,350},{0,6,956},{0,20,494},{2,12,203},
{2,24,2},{2,22,27},{2,6,42},{36,2,723},{0,8,236},{0,22,14},{0,20,350},{20,4,723},{0,20,350},{16,42,125},{16,42,125},{16,42,125},{16,6,126},{0,24,164},{0,6,1},{0,6,1},{0,4,37},{0,4,280},{0,34,109},{2,24,1},{2,24,1},{2,24,1},{2,36,2},{18,4,162},{0,6,1},{0,6,1},{0,4,37},{36,2,162},{0,4,37},{8,0,200},{2,24,1},{18,22,5},
{0,22,10},{8,0,200},{47,0,200},{0,22,10},{0,36,200},{47,0,200},{0,36,200},{16,0,125},{16,0,125},{16,0,125},{16,0,125},{0,6,0},{0,6,0},{0,6,0},{0,18,1},{0,18,37},{0,18,37},{2,46,410},{2,26,218},{2,8,317},{2,38,226},{16,30,725},{16,40,217},{16,38,15},{0,6,312},{0,38,988},{0,6,417},{34,28,209},{18,26,13},{34,8,27},{18,38,34},{8,0,723},
{0,40,203},{16,38,14},{0,6,296},{47,0,723},{0,6,296},{2,12,208},{2,12,208},{2,12,208},{2,22,209},{16,42,163},{16,38,6},{16,38,6},{16,20,26},{0,6,285},{0,20,81},{18,26,9},{18,26,9},{18,26,9},{34,6,10},{2,24,162},{32,22,5},{32,22,5},{0,20,17},{28,0,162},{0,20,17},{24,2,200},{18,26,4},{4,8,9},{0,8,10},{24,2,200},{13,0,200},{0,8,10},
{0,22,208},{13,0,200},{0,22,208},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{16,8,1},{16,8,1},{16,8,1},{16,4,2},{0,4,45},{0,4,45},{18,15,402},{18,12,222},{34,24,331},{18,24,218},{32,47,725},{32,26,212},{32,24,5},{32,38,324},{0,24,884},{0,38,300},{4,30,200},{4,26,5},{4,24,36},{4,8,41},{40,0,723},{16,26,203},{32,24,4},{0,38,251},{46,2,723},
{0,38,251},{18,14,203},{18,14,203},{18,14,203},{18,8,202},{32,28,163},{32,24,5},{32,24,5},{32,6,21},{0,38,219},{0,6,13},{4,26,1},{4,26,1},{4,26,1},{4,38,0},{22,2,162},{2,8,1},{2,8,1},{0,6,4},{42,2,162},{0,6,4},{16,11,200},{34,42,4},{20,24,4},{32,24,0},{16,11,200},{25,0,200},{32,24,0},{0,38,202},{25,0,200},{0,38,202},{18,0,202},
{18,0,202},{18,0,202},{18,0,202},{32,40,1},{32,40,1},{32,40,1},{32,36,1},{0,6,9},{0,6,9},{4,15,408},{4,28,221},{4,10,317},{4,40,221},{18,31,725},{18,42,217},{18,40,6},{2,8,315},{0,26,788},{0,8,228},{20,47,204},{20,12,6},{36,10,27},{20,40,33},{10,2,723},{32,12,203},{18,40,5},{0,8,227},{45,2,723},{0,8,227},{4,14,208},{4,14,208},{4,14,208},
{4,24,209},{18,44,163},{18,40,2},{18,40,2},{18,22,26},{0,24,179},{0,38,3},{20,12,5},{20,12,5},{20,12,5},{20,24,5},{8,2,162},{18,40,1},{18,40,1},{0,38,2},{30,2,162},{0,38,2},{26,4,200},{20,12,2},{6,40,5},{18,40,4},{26,4,200},{7,0,200},{18,40,4},{0,24,208},{7,0,200},{0,24,208},{4,0,208},{4,0,208},{4,0,208},{4,0,208},{18,10,1},
{18,10,1},{18,10,1},{18,6,2},{0,38,2},{0,38,2},{20,13,402},{20,14,220},{36,26,331},{20,26,216},{34,45,725},{34,12,213},{34,26,5},{34,24,337},{0,12,740},{16,40,216},{6,31,202},{6,28,1},{6,26,36},{6,10,41},{42,2,723},{18,28,200},{34,26,4},{0,40,209},{44,6,723},{0,40,209},{20,46,200},{20,46,200},{20,46,200},{20,10,201},{34,30,163},{34,26,5},{34,26,5},
{34,8,18},{0,26,164},{32,8,2},{6,28,0},{6,28,0},{6,28,0},{6,40,1},{24,4,162},{4,10,1},{4,10,1},{2,8,2},{11,0,162},{2,8,2},{14,0,200},{6,28,1},{22,26,4},{34,26,0},{14,0,200},{8,10,200},{34,26,0},{0,40,200},{8,10,200},{0,40,200},{20,0,200},{20,0,200},{20,0,200},{20,0,200},{34,42,1},{34,42,1},{34,42,1},{34,38,1},{32,8,1},
{32,8,1},{6,13,404},{6,30,219},{6,12,327},{6,42,215},{20,29,725},{20,44,217},{20,12,9},{4,10,321},{0,14,723},{32,26,222},{38,15,206},{38,14,8},{38,12,24},{22,42,34},{14,0,723},{4,14,203},{20,12,8},{0,26,203},{8,10,723},{0,26,203},{6,47,202},{6,47,202},{6,47,202},{6,26,206},{20,46,163},{20,12,5},{20,12,5},{20,24,30},{32,42,164},{2,40,6},{38,44,4},
{38,44,4},{38,44,4},{38,10,5},{38,10,162},{20,12,4},{20,12,4},{2,40,2},{23,0,162},{2,40,2},{30,2,200},{38,14,4},{8,12,4},{4,12,4},{30,2,200},{35,2,200},{4,12,4},{0,26,202},{35,2,200},{0,26,202},{6,0,202},{6,0,202},{6,0,202},{6,0,202},{20,12,1},{20,12,1},{20,12,1},{20,8,2},{2,10,4},{2,10,4},{22,11,402},{22,47,227},{38,44,321},
{22,28,218},{36,27,727},{36,30,215},{36,28,13},{36,42,327},{32,30,725},{18,42,212},{8,29,200},{8,30,4},{24,28,29},{8,12,45},{0,1,723},{20,30,203},{6,28,5},{32,42,202},{1,0,723},{32,42,202},{22,15,202},{22,15,202},{22,15,202},{22,12,202},{36,15,168},{36,28,13},{36,28,13},{36,10,17},{2,28,163},{34,10,9},{8,30,0},{8,30,0},{8,30,0},{8,42,0},{28,2,162},
{6,12,5},{6,12,5},{4,10,4},{42,8,162},{4,10,4},{47,2,200},{8,30,4},{24,28,4},{36,28,0},{47,2,200},{17,2,200},{36,28,0},{0,42,202},{17,2,200},{0,42,202},{22,0,202},{22,0,202},{22,0,202},{22,0,202},{36,14,5},{36,14,5},{36,14,5},{36,40,4},{34,26,2},{34,26,2},{8,11,408},{8,31,221},{8,14,312},{8,44,226},{22,27,724},{22,46,217},{22,44,12},
{6,12,321},{2,47,728},{34,28,234},{40,29,209},{24,47,10},{40,14,22},{24,44,34},{18,3,723},{36,47,203},{22,44,11},{32,28,208},{45,8,723},{32,28,208},{8,15,209},{8,15,209},{8,15,209},{8,28,209},{22,15,165},{22,44,3},{22,44,3},{22,26,30},{34,44,164},{4,42,6},{40,30,10},{40,30,10},{40,30,10},{40,12,10},{16,3,162},{22,44,2},{22,44,2},{4,42,2},{17,0,162},
{4,42,2},{15,2,200},{24,47,1},{10,14,4},{6,14,5},{15,2,200},{33,4,200},{6,14,5},{0,28,208},{33,4,200},{0,28,208},{8,0,208},{8,0,208},{8,0,208},{8,0,208},{22,14,1},{22,14,1},{22,14,1},{22,10,2},{4,12,4},{4,12,4},{24,9,402},{24,45,227},{40,46,324},{24,30,218},{38,25,727},{38,47,213},{38,30,13},{38,28,325},{34,31,727},{20,44,218},{10,27,202},
{10,31,1},{26,30,29},{10,14,45},{4,3,723},{22,31,200},{8,30,8},{34,44,202},{3,4,723},{34,44,202},{24,13,202},{24,13,202},{24,13,202},{24,14,202},{38,13,168},{38,30,13},{38,30,13},{38,12,17},{4,30,163},{36,12,9},{10,31,0},{10,31,0},{10,31,0},{10,44,0},{30,4,162},{8,14,4},{8,14,4},{6,12,4},{15,8,162},{6,12,4},{43,0,200},{10,31,1},{26,30,4},
{38,30,0},{43,0,200},{19,6,200},{38,30,0},{0,44,202},{19,6,200},{0,44,202},{24,0,202},{24,0,202},{24,0,202},{24,0,202},{38,46,5},{38,46,5},{38,46,5},{38,42,4},{20,28,4},{20,28,4},{10,9,404},{10,29,219},{26,47,330},{10,46,222},{24,9,723},{24,15,209},{24,47,18},{8,14,324},{4,45,723},{36,30,222},{42,11,206},{42,15,8},{42,47,22},{26,46,41},{43,0,723},
{8,15,202},{24,47,18},{4,30,202},{19,6,723},{4,30,202},{10,43,202},{10,43,202},{10,43,202},{10,30,206},{24,13,162},{24,46,8},{24,46,8},{24,44,25},{20,47,168},{22,44,4},{42,15,4},{42,15,4},{42,15,4},{42,14,8},{45,0,162},{40,46,4},{40,46,4},{22,44,0},{27,8,162},{22,44,0},{38,3,200},{42,15,4},{12,47,9},{8,47,10},{38,3,200},{35,8,200},{8,47,10},
{0,30,202},{35,8,200},{0,30,202},{10,0,202},{10,0,202},{10,0,202},{10,0,202},{24,47,0},{24,47,0},{24,47,0},{24,12,4},{22,44,4},{22,44,4},{26,7,408},{42,13,236},{42,15,332},{26,31,224},{40,23,727},{40,45,213},{40,31,8},{40,46,312},{36,29,725},{22,46,218},{12,25,201},{12,13,6},{28,31,29},{12,47,42},{11,0,723},{24,29,203},{40,31,4},{6,46,209},{5,8,723},
{6,46,209},{26,41,208},{26,41,208},{26,41,208},{26,47,208},{40,11,168},{40,31,8},{40,31,8},{40,14,22},{6,31,163},{38,30,10},{12,13,2},{12,13,2},{12,13,2},{12,46,2},{29,2,162},{10,47,2},{10,47,2},{22,30,9},{35,6,162},{22,30,9},{41,2,200},{42,13,4},{44,31,1},{40,31,0},{41,2,200},{17,8,200},{40,31,0},{0,46,208},{17,8,200},{0,46,208},{26,0,208},
{26,0,208},{26,0,208},{26,0,208},{40,15,4},{40,15,4},{40,15,4},{40,44,5},{38,30,1},{38,30,1},{12,7,404},{12,27,212},{12,45,332},{12,15,215},{26,23,724},{26,13,216},{26,15,8},{26,47,318},{6,43,723},{8,47,227},{44,9,206},{44,13,8},{44,45,22},{28,15,38},{24,3,723},{10,13,202},{26,15,8},{6,31,209},{3,24,723},{6,31,209},{12,41,202},{12,41,202},{12,41,202},
{12,31,203},{26,11,162},{26,15,4},{26,15,4},{26,46,25},{38,15,162},{24,46,4},{44,13,4},{44,13,4},{44,13,4},{44,47,5},{43,2,162},{26,15,4},{26,15,4},{24,46,0},{21,8,162},{24,46,0},{29,12,200},{28,43,2},{14,15,8},{26,15,4},{29,12,200},{26,13,200},{26,15,4},{0,31,208},{26,13,200},{0,31,208},{12,0,202},{12,0,202},{12,0,202},{12,0,202},{26,45,0},
{26,45,0},{26,45,0},{26,14,4},{24,46,4},{24,46,4},{28,5,402},{28,41,222},{44,13,332},{28,29,218},{42,21,727},{42,43,213},{42,29,8},{42,31,340},{38,27,724},{24,15,217},{14,23,201},{14,27,3},{30,29,29},{14,45,42},{9,2,723},{26,27,201},{42,29,4},{22,15,201},{2,9,723},{22,15,201},{28,9,202},{28,9,202},{28,9,202},{28,45,203},{42,9,168},{42,29,8},{42,29,8},
{42,47,21},{8,29,163},{40,47,2},{14,11,2},{14,11,2},{14,11,2},{14,15,2},{38,1,162},{12,45,2},{12,45,2},{10,47,2},{43,28,162},{10,47,2},{37,0,200},{14,27,2},{46,29,1},{42,29,0},{37,0,200},{36,9,200},{42,29,0},{0,15,200},{36,9,200},{0,15,200},{28,0,202},{28,0,202},{28,0,202},{28,0,202},{42,13,4},{42,13,4},{42,13,4},{42,46,5},{40,47,1},
{40,47,1},{14,35,400},{14,25,217},{30,43,340},{14,13,213},{28,5,723},{28,11,209},{28,43,8},{12,45,332},{8,41,724},{40,29,222},{46,7,201},{46,41,2},{46,43,21},{30,13,41},{37,0,723},{12,41,203},{28,43,8},{8,29,202},{36,9,723},{8,29,202},{14,23,201},{14,23,201},{14,23,201},{14,13,204},{28,9,162},{28,43,4},{28,43,4},{28,31,29},{40,13,164},{26,15,3},{46,11,2},
{46,11,2},{46,11,2},{46,29,5},{39,0,162},{44,13,2},{44,13,2},{10,15,2},{9,28,162},{10,15,2},{21,2,200},{46,41,1},{47,43,5},{12,43,4},{21,2,200},{24,9,200},{12,43,4},{0,29,202},{24,9,200},{0,29,202},{14,0,200},{14,0,200},{14,0,200},{14,0,200},{28,43,0},{28,43,0},{28,43,0},{28,47,1},{26,15,2},{26,15,2},{30,3,410},{46,9,227},{46,27,318},
{30,27,224},{14,5,728},{44,25,215},{14,27,8},{44,13,332},{40,25,725},{26,13,212},{47,21,200},{47,25,4},{47,27,25},{47,43,52},{5,0,723},{28,25,203},{14,27,4},{40,13,202},{0,5,723},{40,13,202},{30,7,209},{30,7,209},{30,7,209},{30,43,208},{14,39,166},{14,27,8},{14,27,8},{44,45,22},{10,27,163},{12,45,8},{47,25,0},{47,25,0},{47,25,0},{47,13,0},{23,2,162},
{14,27,4},{14,27,4},{12,45,4},{20,9,162},{12,45,4},{35,2,200},{47,25,4},{15,27,4},{44,27,0},{35,2,200},{34,5,200},{44,27,0},{0,13,202},{34,5,200},{0,13,202},{30,0,208},{30,0,208},{30,0,208},{30,0,208},{14,27,4},{14,27,4},{14,27,4},{14,15,8},{42,29,2},{42,29,2},{47,3,408},{47,23,218},{47,41,312},{47,11,226},{30,3,723},{30,9,209},{30,41,8},
{14,43,332},{10,39,723},{12,43,236},{15,21,209},{31,39,10},{15,41,22},{31,11,43},{30,3,723},{44,39,204},{30,41,8},{40,27,208},{42,9,723},{40,27,208},{47,7,209},{47,7,209},{47,7,209},{47,27,208},{30,7,162},{30,41,4},{30,41,4},{30,29,29},{42,11,164},{12,13,6},{31,23,9},{31,23,9},{31,23,9},{31,27,10},{37,2,162},{46,11,2},{46,11,2},{12,13,2},{34,7,162},
{12,13,2},{46,1,200},{31,39,1},{45,41,5},{14,41,4},{46,1,200},{26,7,200},{14,41,4},{0,27,208},{26,7,200},{0,27,208},{47,0,208},{47,0,208},{47,0,208},{47,0,208},{30,41,0},{30,41,0},{30,41,0},{30,45,1},{12,43,4},{12,43,4},{31,1,402},{31,37,222},{15,9,324},{31,25,218},{46,17,733},{46,23,215},{46,25,18},{46,27,330},{42,23,725},{28,11,219},{45,19,202},
{45,23,4},{45,25,25},{45,41,52},{3,2,723},{30,23,203},{47,25,8},{42,11,202},{2,3,723},{42,11,202},{31,5,202},{31,5,202},{31,5,202},{31,41,202},{46,5,173},{46,25,18},{46,25,18},{46,43,22},{12,25,163},{14,43,8},{45,23,0},{45,23,0},{45,23,0},{45,11,0},{44,1,162},{47,41,4},{47,41,4},{14,43,4},{26,9,162},{14,43,4},{31,1,200},{45,23,4},{13,25,4},
{46,25,0},{31,1,200},{32,1,200},{46,25,0},{0,11,202},{32,1,200},{0,11,202},{31,0,202},{31,0,202},{31,0,202},{31,0,202},{46,9,10},{46,9,10},{46,9,10},{46,13,9},{28,27,4},{28,27,4},{45,1,404},{45,21,218},{29,39,325},{45,9,222},{31,1,723},{31,7,209},{31,39,13},{47,41,324},{12,37,725},{44,25,227},{13,3,206},{13,37,9},{13,39,17},{29,9,48},{31,1,723},
{47,7,208},{31,39,13},{12,25,202},{32,1,723},{12,25,202},{45,35,202},{45,35,202},{45,35,202},{45,25,203},{31,5,162},{31,9,8},{31,9,8},{31,27,29},{14,9,166},{30,11,1},{13,7,4},{13,7,4},{13,7,4},{13,25,8},{31,5,162},{15,9,4},{15,9,4},{30,11,0},{14,9,162},{30,11,0},{17,6,200},{29,21,4},{43,39,4},{46,39,5},{17,6,200},{20,1,200},{46,39,5},
{0,25,202},{20,1,200},{0,25,202},{45,0,202},{45,0,202},{45,0,202},{45,0,202},{31,39,0},{31,39,0},{31,39,0},{31,27,4},{30,11,1},{30,11,1},{13,1,440},{29,35,234},{13,7,321},{29,23,218},{45,1,732},{15,21,215},{45,23,12},{15,9,312},{44,21,731},{30,9,221},{43,17,201},{43,5,6},{27,23,30},{43,39,46},{45,1,723},{31,21,203},{45,23,3},{14,9,209},{27,9,723},
{14,9,209},{29,33,208},{29,33,208},{29,33,208},{29,39,208},{15,3,168},{45,23,11},{45,23,11},{15,41,22},{14,23,168},{46,25,10},{43,5,2},{43,5,2},{43,5,2},{43,9,2},{17,2,162},{45,23,2},{45,23,2},{30,25,10},{16,1,162},{30,25,10},{27,3,200},{13,5,4},{11,23,2},{15,23,1},{27,3,200},{39,9,200},{15,23,1},{0,9,208},{39,9,200},{0,9,208},{29,0,208},
{29,0,208},{29,0,208},{29,0,208},{15,7,5},{15,7,5},{15,7,5},{15,11,4},{46,25,1},{46,25,1},{43,1,500},{43,19,212},{43,37,327},{43,7,220},{13,1,760},{29,5,209},{29,37,13},{45,39,321},{14,35,724},{46,23,227},{11,1,206},{11,35,9},{11,37,17},{27,7,43},{33,10,723},{15,35,204},{29,37,13},{14,23,202},{38,1,723},{14,23,202},{43,33,202},{43,33,202},{43,33,202},
{43,23,203},{29,3,162},{29,7,5},{29,7,5},{29,25,29},{46,7,165},{31,9,4},{11,5,4},{11,5,4},{11,5,4},{11,39,5},{29,3,162},{13,7,5},{13,7,5},{31,9,0},{43,9,162},{31,9,0},{39,7,200},{27,35,2},{41,37,4},{15,37,5},{39,7,200},{26,1,200},{15,37,5},{0,23,202},{26,1,200},{0,23,202},{43,0,202},{43,0,202},{43,0,202},{43,0,202},{29,37,0},
{29,37,0},{29,37,0},{29,25,4},{31,9,4},{31,9,4},{11,1,530},{27,33,222},{11,5,321},{27,21,219},{27,1,812},{13,19,215},{13,21,9},{13,7,327},{46,19,724},{31,7,219},{25,1,225},{41,3,6},{25,21,30},{41,37,46},{41,3,723},{29,19,203},{13,21,5},{46,7,202},{21,9,723},{46,7,202},{27,1,203},{27,1,203},{27,1,203},{27,37,202},{13,1,168},{13,21,8},{13,21,8},
{13,39,24},{47,21,163},{15,39,8},{41,3,2},{41,3,2},{41,3,2},{41,7,1},{39,11,162},{13,21,4},{13,21,4},{45,39,4},{22,1,162},{45,39,4},{25,1,200},{11,3,4},{9,21,2},{13,21,1},{25,1,200},{33,9,200},{13,21,1},{0,7,202},{33,9,200},{0,7,202},{27,0,202},{27,0,202},{27,0,202},{27,0,202},{13,5,4},{13,5,4},{13,5,4},{13,9,4},{15,39,4},
{15,39,4},{25,1,634},{41,17,216},{25,35,337},{41,5,220},{41,1,863},{27,3,211},{27,35,5},{27,37,331},{47,33,725},{15,21,220},{9,1,251},{9,33,2},{9,35,18},{25,5,48},{25,1,723},{43,33,203},{27,35,5},{47,21,200},{33,9,723},{47,21,200},{41,1,209},{41,1,209},{41,1,209},{41,5,204},{27,1,164},{27,35,4},{27,35,4},{27,7,36},{15,5,164},{29,7,1},{9,3,2},
{9,3,2},{9,3,2},{9,21,2},{25,5,162},{11,5,1},{11,5,1},{29,7,0},{10,1,162},{29,7,0},{23,17,200},{9,33,1},{39,35,1},{43,35,1},{23,17,200},{45,17,200},{43,35,1},{0,21,200},{45,17,200},{0,21,200},{41,0,200},{41,0,200},{41,0,200},{41,0,200},{27,35,0},{27,35,0},{27,35,0},{27,23,4},{29,7,1},{29,7,1},{39,1,724},{9,1,228},{9,3,315},
{25,19,218},{9,1,932},{11,17,213},{41,19,6},{11,5,317},{15,17,725},{29,5,221},{23,1,288},{39,1,3},{23,19,26},{39,19,51},{39,1,723},{27,17,203},{41,19,2},{15,5,208},{31,1,723},{15,5,208},{9,1,227},{9,1,227},{9,1,227},{25,35,209},{41,1,174},{41,19,5},{41,19,5},{11,37,27},{45,19,163},{13,21,6},{39,1,2},{39,1,2},{39,1,2},{39,5,2},{9,3,162},
{41,19,1},{41,19,1},{13,21,5},{31,3,162},{13,21,5},{21,3,200},{39,1,2},{7,19,2},{11,19,1},{21,3,200},{43,1,200},{11,19,1},{0,5,208},{43,1,200},{0,5,208},{25,0,208},{25,0,208},{25,0,208},{25,0,208},{41,19,4},{41,19,4},{41,19,4},{41,7,5},{13,21,2},{13,21,2},{23,1,864},{39,1,300},{39,33,324},{39,3,222},{39,1,1020},{25,1,211},{25,33,5},
{25,35,331},{29,1,732},{13,19,222},{37,1,347},{7,1,13},{7,33,21},{23,3,48},{1,13,723},{25,1,211},{25,33,5},{15,19,203},{13,1,723},{15,19,203},{39,1,251},{39,1,251},{39,1,251},{39,19,203},{9,1,195},{25,33,4},{25,33,4},{25,5,36},{13,3,164},{27,5,5},{7,1,4},{7,1,4},{7,1,4},{7,35,8},{23,3,162},{9,3,1},{9,3,1},{27,5,1},{43,3,162},
{27,5,1},{17,39,200},{7,1,9},{37,33,1},{41,33,1},{17,39,200},{39,17,200},{41,33,1},{0,19,202},{39,17,200},{0,19,202},{39,0,202},{39,0,202},{39,0,202},{39,0,202},{25,33,0},{25,33,0},{25,33,0},{25,21,4},{43,35,4},{43,35,4},{37,1,1012},{7,1,417},{7,1,312},{23,17,218},{7,1,1144},{39,1,268},{39,17,15},{9,3,317},{27,1,804},{27,3,218},{5,1,398},
{21,1,81},{21,17,26},{37,17,51},{35,3,723},{23,1,254},{39,17,6},{13,3,208},{25,1,723},{13,3,208},{7,1,296},{7,1,296},{7,1,296},{23,33,209},{39,1,243},{39,17,14},{39,17,14},{9,35,27},{43,17,163},{27,19,13},{21,1,17},{21,1,17},{21,1,17},{37,3,1},{3,25,162},{39,17,5},{39,17,5},{27,19,9},{29,1,162},{27,19,9},{19,1,200},{5,1,45},{5,17,2},
{9,17,1},{19,1,200},{37,1,200},{9,17,1},{0,3,208},{37,1,200},{0,3,208},{23,0,208},{23,0,208},{23,0,208},{23,0,208},{9,1,10},{9,1,10},{9,1,10},{9,5,9},{27,19,4},{27,19,4},{5,1,919},{21,1,494},{21,1,350},{37,1,201},{21,1,1014},{7,1,251},{23,1,14},{23,33,202},{9,1,721},{41,33,139},{19,1,341},{35,1,109},{5,1,37},{5,1,26},{3,3,546},
{37,1,213},{7,1,1},{43,17,125},{3,3,546},{43,17,125},{21,1,350},{21,1,350},{21,1,350},{37,1,201},{37,1,312},{23,1,14},{23,1,14},{23,3,27},{41,1,168},{25,3,2},{5,1,37},{5,1,37},{5,1,37},{5,17,5},{19,5,162},{7,1,1},{7,1,1},{25,3,1},{37,3,162},{25,3,1},{33,1,113},{19,1,37},{19,1,1},{7,1,0},{33,1,113},{35,1,113},{7,1,0},
{0,17,125},{35,1,113},{0,17,125},{37,0,200},{37,0,200},{37,0,200},{37,0,200},{23,1,10},{23,1,10},{23,1,10},{23,19,5},{25,3,1},{25,3,1},{35,1,773},{35,1,513},{5,1,414},{5,1,227},{35,1,818},{21,1,218},{37,1,69},{7,17,74},{23,1,534},{9,17,30},{3,1,190},{19,1,101},{19,1,65},{35,1,5},{33,33,333},{35,1,114},{5,1,25},{9,17,30},{33,33,333},
{9,17,30},{5,1,414},{5,1,414},{5,1,414},{5,1,227},{21,1,373},{37,1,69},{37,1,69},{7,33,29},{9,1,216},{9,17,5},{19,1,65},{19,1,65},{19,1,65},{35,1,5},{3,3,162},{5,1,25},{5,1,25},{9,17,5},{3,3,162},{9,17,5},{17,1,25},{33,1,9},{33,1,0},{19,1,1},{17,1,25},{33,1,25},{19,1,1},{0,17,29},{33,1,25},{0,17,29},{5,0,218},
{5,0,218},{5,0,218},{5,0,218},{37,1,20},{37,1,20},{37,1,20},{37,3,5},{9,17,1},{9,17,1},{3,1,642},{19,1,504},{19,1,468},{35,1,264},{19,1,657},{35,1,229},{5,1,141},{21,1,26},{21,1,457},{23,1,1},{33,1,134},{33,1,94},{33,1,85},{3,1,26},{1,19,193},{19,1,81},{19,1,45},{23,1,0},{19,1,193},{23,1,0},{19,1,468},{19,1,468},{19,1,468},
{35,1,264},{35,1,425},{5,1,141},{5,1,141},{21,1,26},{7,1,254},{23,1,1},{33,1,85},{33,1,85},{33,1,85},{3,1,26},{17,3,145},{19,1,45},{19,1,45},{23,1,0},{35,1,145},{23,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{35,0,200},{35,0,200},{35,0,200},{35,0,200},{5,1,41},
{5,1,41},{5,1,41},{21,17,5},{23,1,1},{23,1,1},{3,1,418},{3,1,343},{3,1,318},{3,1,243},{3,1,370},{19,1,161},{19,1,125},{35,1,5},{35,1,250},{21,1,25},{17,1,34},{17,1,26},{17,1,25},{33,1,13},{17,1,54},{33,1,22},{33,1,13},{5,1,1},{33,1,54},{5,1,1},{3,1,318},{3,1,318},{3,1,318},{3,1,243},{3,1,270},{19,1,125},{19,1,125},
{35,1,5},{5,1,165},{21,1,25},{17,1,25},{17,1,25},{17,1,25},{33,1,13},{1,3,41},{33,1,13},{33,1,13},{5,1,1},{3,1,41},{5,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{19,0,208},{19,0,208},{19,0,208},{19,0,208},{35,1,85},{35,1,85},{35,1,85},{35,1,5},{21,1,25},
{21,1,25},{0,26,421},{0,38,45},{0,36,2},{0,20,160},{0,38,926},{0,20,577},{0,4,264},{0,18,701},{0,34,989},{0,18,737},{0,26,421},{0,38,45},{0,36,2},{0,20,160},{34,0,925},{0,20,577},{0,4,264},{0,18,701},{0,34,925},{0,18,701},{0,20,1},{0,20,1},{0,20,1},{0,18,1},{0,18,85},{0,2,34},{0,2,34},{0,32,53},{0,32,94},{0,32,62},{0,20,1},
{0,20,1},{0,20,1},{0,18,1},{32,0,85},{0,2,34},{0,2,34},{0,32,53},{18,0,85},{0,32,53},{34,4,421},{0,38,45},{0,36,2},{0,20,160},{34,4,421},{26,0,421},{0,20,160},{0,34,421},{26,0,421},{0,34,421},{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},{0,44,421},{0,24,13},{0,22,32},
{0,36,113},{0,24,1262},{0,6,670},{0,20,304},{0,4,886},{0,4,1382},{0,34,953},{0,44,421},{0,24,13},{0,22,32},{0,36,113},{18,4,1261},{0,6,670},{0,20,304},{0,4,886},{36,2,1261},{0,4,886},{0,8,0},{0,8,0},{0,8,0},{0,4,0},{0,4,221},{0,34,73},{0,34,73},{0,2,125},{0,2,246},{0,2,150},{0,8,0},{0,8,0},{0,8,0},{0,4,0},{2,0,221},
{0,34,73},{0,34,73},{0,2,125},{4,0,221},{0,2,125},{22,0,421},{0,24,13},{16,6,8},{0,36,113},{22,0,421},{44,0,421},{0,36,113},{0,20,433},{44,0,421},{0,20,433},{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},{0,31,430},{0,26,10},{16,38,79},{0,22,74},{0,42,1514},{0,38,717},{0,6,253},
{0,20,965},{0,36,1713},{0,4,1109},{16,46,425},{16,10,9},{16,38,54},{0,22,74},{20,2,1514},{0,38,717},{0,6,253},{0,20,965},{42,0,1514},{0,20,965},{0,26,10},{0,26,10},{0,26,10},{0,36,9},{0,6,340},{0,20,97},{0,20,97},{0,18,185},{0,18,382},{0,18,221},{16,10,5},{16,10,5},{16,10,5},{16,36,5},{2,2,338},{0,20,97},{0,20,97},{0,18,185},{2,2,338},
{0,18,185},{8,0,421},{0,26,1},{2,38,2},{0,22,65},{8,0,421},{31,0,421},{0,22,65},{0,36,421},{31,0,421},{0,36,421},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,32,0},{0,32,0},{0,32,0},{0,16,0},{0,16,1},{0,16,1},{16,45,482},{16,12,66},{32,24,186},{16,8,126},{0,14,1517},{0,24,605},{0,38,117},{0,6,886},{0,22,1815},{0,36,1085},{32,31,421},
{32,42,1},{2,8,51},{32,38,85},{22,16,1514},{0,24,605},{0,38,117},{0,6,886},{44,16,1514},{0,6,886},{16,28,61},{16,28,61},{16,28,61},{16,22,62},{0,24,340},{0,22,37},{0,22,37},{0,4,125},{0,4,456},{0,34,213},{32,42,0},{32,42,0},{32,42,0},{32,6,1},{18,4,338},{0,22,37},{0,22,37},{0,4,125},{36,2,338},{0,4,125},{40,0,421},{32,42,1},{18,8,5},
{0,8,37},{40,0,421},{13,0,421},{0,8,37},{0,22,433},{13,0,421},{0,22,433},{16,0,61},{16,0,61},{16,0,61},{16,0,61},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,32,25},{0,32,25},{32,43,623},{32,44,219},{32,10,382},{32,24,243},{0,15,1517},{0,26,497},{0,24,35},{0,22,761},{0,8,2003},{0,22,1050},{18,15,422},{18,28,6},{18,40,51},{2,24,77},{24,0,1514},
{0,26,497},{0,24,35},{0,22,761},{32,8,1514},{0,22,761},{32,30,202},{32,30,202},{32,30,202},{32,8,203},{0,28,338},{0,8,10},{0,8,10},{0,20,89},{0,6,565},{0,20,233},{18,12,1},{18,12,1},{18,12,1},{18,38,1},{2,24,338},{0,8,10},{0,8,10},{0,20,89},{28,0,338},{0,20,89},{40,4,421},{2,28,5},{4,40,1},{0,24,26},{40,4,421},{25,0,421},{0,24,26},
{0,38,425},{25,0,421},{0,38,425},{32,0,202},{32,0,202},{32,0,202},{32,0,202},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,34,68},{0,34,68},{2,11,821},{2,30,429},{2,26,634},{2,10,429},{0,27,1514},{0,28,446},{0,10,8},{0,8,670},{0,40,2187},{0,38,1083},{34,29,422},{34,14,6},{4,26,50},{34,10,86},{38,6,1514},{0,28,446},{0,10,8},{0,8,670},{27,0,1514},
{0,8,670},{2,31,401},{2,31,401},{2,31,401},{2,24,404},{0,46,340},{0,10,4},{0,10,4},{0,6,52},{0,22,677},{0,6,277},{34,14,2},{34,14,2},{34,14,2},{34,8,5},{22,2,338},{0,10,4},{0,10,4},{0,6,52},{42,2,338},{0,6,52},{28,0,421},{34,14,5},{36,10,5},{0,10,4},{28,0,421},{7,0,421},{0,10,4},{0,24,425},{7,0,421},{0,24,425},{2,0,400},
{2,0,400},{2,0,400},{2,0,400},{0,26,0},{0,26,0},{0,26,0},{0,36,1},{0,4,149},{0,4,149},{18,9,842},{18,47,462},{34,12,661},{18,26,450},{16,25,1521},{16,14,441},{16,42,15},{16,24,653},{0,26,2030},{0,24,882},{20,13,425},{20,30,9},{20,42,54},{4,26,77},{26,2,1514},{0,14,422},{16,42,11},{0,24,626},{38,8,1514},{0,24,626},{18,45,421},{18,45,421},{18,45,421},
{18,10,422},{16,15,344},{16,42,14},{16,42,14},{16,38,38},{0,24,602},{0,38,162},{20,14,4},{20,14,4},{20,14,4},{20,40,5},{8,2,338},{32,26,2},{32,26,2},{0,38,18},{30,2,338},{0,38,18},{14,0,421},{4,30,5},{6,42,1},{0,42,1},{14,0,421},{19,0,421},{0,42,1},{0,40,421},{19,0,421},{0,40,421},{18,0,421},{18,0,421},{18,0,421},{18,0,421},{16,12,5},
{16,12,5},{16,12,5},{16,6,8},{0,6,80},{0,6,80},{4,9,854},{4,31,458},{4,28,674},{34,12,453},{2,25,1515},{32,30,445},{2,12,9},{32,10,657},{0,28,1850},{0,10,666},{36,27,422},{36,46,6},{6,28,48},{36,12,86},{16,7,1514},{16,46,421},{2,12,8},{0,10,545},{21,0,1514},{0,10,545},{34,13,433},{34,13,433},{34,13,433},{34,42,433},{2,15,339},{2,12,5},{2,12,5},
{32,8,50},{0,10,477},{0,8,62},{36,46,2},{36,46,2},{36,46,2},{36,10,5},{24,4,338},{2,12,4},{2,12,4},{0,24,9},{11,0,338},{0,24,9},{0,1,421},{36,46,5},{38,12,5},{2,12,4},{0,1,421},{1,0,421},{2,12,4},{0,26,425},{1,0,421},{0,26,425},{4,0,433},{4,0,433},{4,0,433},{4,0,433},{2,28,1},{2,28,1},{2,28,1},{2,38,2},{0,8,37},
{0,8,37},{20,7,842},{20,45,455},{36,14,655},{20,28,450},{34,9,1523},{18,47,450},{34,44,13},{18,42,659},{0,14,1731},{0,42,542},{22,11,422},{22,47,5},{22,44,50},{6,28,86},{30,0,1514},{2,47,421},{34,44,4},{0,42,506},{33,0,1514},{0,42,506},{20,43,421},{20,43,421},{20,43,421},{20,12,425},{18,13,347},{34,28,11},{34,28,11},{18,40,43},{0,12,389},{0,10,9},{22,47,1},
{22,47,1},{22,47,1},{22,42,1},{38,10,338},{34,28,2},{34,28,2},{0,10,5},{23,0,338},{0,10,5},{2,1,421},{22,47,4},{8,44,0},{18,44,0},{2,1,421},{1,2,421},{18,44,0},{0,42,425},{1,2,421},{0,42,425},{20,0,421},{20,0,421},{20,0,421},{20,0,421},{18,30,9},{18,30,9},{18,30,9},{34,8,10},{0,10,5},{0,10,5},{6,37,846},{6,29,454},{6,46,685},
{6,14,459},{4,7,1517},{4,31,446},{4,14,19},{34,12,655},{0,47,1635},{0,12,478},{38,9,425},{38,15,6},{8,30,41},{38,14,77},{47,0,1514},{18,15,422},{20,14,11},{0,12,477},{27,6,1514},{0,12,477},{6,27,426},{6,27,426},{6,27,426},{6,44,426},{4,13,340},{4,14,10},{4,14,10},{4,26,50},{0,44,355},{16,26,6},{38,15,5},{38,15,5},{38,15,5},{38,28,5},{28,2,338},
{20,14,2},{20,14,2},{32,26,1},{42,8,338},{32,26,1},{29,0,421},{38,15,2},{40,14,10},{18,30,9},{29,0,421},{33,4,421},{18,30,9},{0,28,425},{33,4,421},{0,28,425},{6,0,425},{6,0,425},{6,0,425},{6,0,425},{4,30,1},{4,30,1},{4,30,1},{4,40,0},{16,26,5},{16,26,5},{22,5,842},{22,43,455},{38,47,679},{22,30,455},{20,21,1521},{20,15,438},{36,46,13},
{20,28,653},{0,15,1553},{16,44,454},{24,9,422},{24,45,5},{24,46,50},{8,30,77},{34,3,1514},{4,45,422},{36,46,4},{0,44,434},{35,4,1514},{0,44,434},{22,41,421},{22,41,421},{22,41,421},{22,14,422},{20,11,342},{36,30,11},{36,30,11},{20,42,38},{0,46,340},{32,12,5},{24,45,1},{24,45,1},{24,45,1},{24,44,1},{16,3,338},{36,30,2},{36,30,2},{32,12,4},{17,0,338},
{32,12,4},{43,0,421},{24,45,4},{10,46,0},{4,46,1},{43,0,421},{19,6,421},{4,46,1},{0,44,425},{19,6,421},{0,44,425},{22,0,421},{22,0,421},{22,0,421},{22,0,421},{20,31,5},{20,31,5},{20,31,5},{20,26,5},{32,12,1},{32,12,1},{8,5,854},{8,27,458},{24,31,670},{38,47,462},{6,5,1517},{6,29,446},{6,47,6},{36,14,655},{0,29,1530},{32,30,465},{40,23,422},
{40,13,2},{10,31,48},{40,46,90},{45,2,1514},{20,13,425},{6,47,6},{0,30,434},{25,8,1514},{0,30,434},{8,25,434},{8,25,434},{8,25,434},{8,30,437},{6,11,340},{6,47,5},{6,47,5},{6,12,52},{16,47,342},{18,28,1},{40,13,1},{40,13,1},{40,13,1},{40,14,5},{30,4,338},{22,46,4},{22,46,4},{18,28,1},{15,8,338},{18,28,1},{11,0,421},{40,13,1},{26,47,5},
{6,47,2},{11,0,421},{5,8,421},{6,47,2},{0,30,425},{5,8,421},{0,30,425},{8,0,433},{8,0,433},{8,0,433},{8,0,433},{6,31,0},{6,31,0},{6,31,0},{6,42,0},{18,28,1},{18,28,1},{24,33,846},{24,41,465},{40,15,658},{24,31,454},{38,5,1518},{22,13,446},{38,15,14},{22,46,667},{0,27,1518},{18,46,453},{26,7,421},{26,27,2},{42,15,53},{10,31,86},{27,0,1514},
{6,43,425},{38,15,10},{16,46,434},{37,8,1514},{16,46,434},{24,23,426},{24,23,426},{24,23,426},{24,47,426},{38,25,344},{38,31,9},{38,31,9},{22,44,41},{18,31,341},{4,14,2},{26,27,1},{26,27,1},{26,27,1},{26,46,1},{45,0,338},{8,31,5},{8,31,5},{4,14,1},{27,8,338},{4,14,1},{8,1,421},{26,27,2},{12,15,1},{6,15,2},{8,1,421},{1,8,421},{6,15,2},
{0,46,433},{1,8,421},{0,46,433},{24,0,425},{24,0,425},{24,0,425},{24,0,425},{38,15,4},{38,15,4},{38,15,4},{38,12,8},{4,14,1},{4,14,1},{10,33,846},{10,25,454},{26,29,658},{10,45,454},{8,3,1517},{8,27,446},{8,45,8},{38,47,650},{32,11,1518},{4,47,462},{42,5,425},{42,11,9},{12,29,43},{42,15,89},{28,13,1514},{22,11,422},{8,45,8},{16,31,426},{27,12,1514},
{16,31,426},{10,23,425},{10,23,425},{10,23,425},{10,15,429},{8,9,340},{8,45,4},{8,45,4},{8,30,50},{34,45,341},{20,30,6},{42,11,5},{42,11,5},{42,11,5},{42,31,8},{29,2,338},{8,45,4},{8,45,4},{36,30,1},{35,6,338},{36,30,1},{23,0,421},{12,11,4},{44,45,5},{8,45,4},{23,0,421},{18,9,421},{8,45,4},{0,31,425},{18,9,421},{0,31,425},{10,0,425},
{10,0,425},{10,0,425},{10,0,425},{8,13,1},{8,13,1},{8,13,1},{8,44,0},{20,30,5},{20,30,5},{26,1,846},{26,39,470},{42,13,658},{26,29,454},{40,3,1523},{24,11,446},{24,13,20},{24,31,658},{2,25,1521},{20,15,458},{28,5,422},{28,25,6},{28,13,51},{12,29,86},{40,3,1514},{8,41,421},{24,13,11},{18,15,421},{16,9,1514},{18,15,421},{26,21,426},{26,21,426},{26,21,426},
{26,45,426},{24,7,347},{40,29,11},{40,29,11},{24,46,41},{20,29,342},{36,47,10},{28,41,1},{28,41,1},{28,41,1},{28,15,2},{43,2,338},{40,29,2},{40,29,2},{36,47,9},{21,8,338},{36,47,9},{37,0,421},{12,25,5},{14,13,1},{8,13,2},{37,0,421},{32,7,421},{8,13,2},{0,15,421},{32,7,421},{0,15,421},{26,0,425},{26,0,425},{26,0,425},{26,0,425},{24,27,9},
{24,27,9},{24,27,9},{40,14,10},{36,47,1},{36,47,1},{12,1,850},{12,23,454},{12,27,666},{12,43,454},{10,1,1517},{10,25,446},{10,43,8},{40,45,666},{34,9,1515},{6,45,462},{44,3,425},{44,9,9},{14,27,50},{44,13,89},{39,2,1514},{24,9,422},{10,43,8},{18,29,426},{34,9,1514},{18,29,426},{12,21,425},{12,21,425},{12,21,425},{12,13,429},{10,7,340},{10,43,4},{10,43,4},
{10,47,50},{36,43,341},{22,31,1},{44,9,5},{44,9,5},{44,9,5},{44,29,8},{38,1,338},{26,13,4},{26,13,4},{22,31,1},{43,28,338},{22,31,1},{5,0,421},{14,9,4},{46,43,5},{10,43,4},{5,0,421},{0,5,421},{10,43,4},{0,29,425},{0,5,421},{0,29,425},{12,0,425},{12,0,425},{12,0,425},{12,0,425},{10,27,0},{10,27,0},{10,27,0},{10,46,0},{22,31,1},
{22,31,1},{44,1,890},{44,7,462},{44,41,666},{28,27,454},{42,1,1518},{26,39,446},{42,11,8},{26,13,666},{4,23,1523},{22,13,454},{30,33,421},{30,23,1},{46,11,50},{30,27,89},{21,0,1514},{40,23,425},{42,11,4},{20,13,425},{18,7,1514},{20,13,425},{28,19,426},{28,19,426},{28,19,426},{28,27,429},{42,21,344},{42,11,8},{42,11,8},{26,15,50},{6,11,341},{8,45,9},{30,23,1},
{30,23,1},{30,23,1},{30,13,0},{39,0,338},{42,11,4},{42,11,4},{8,45,5},{9,28,338},{8,45,5},{14,1,421},{30,23,1},{47,11,0},{26,11,0},{14,1,421},{4,5,421},{26,11,0},{0,13,425},{4,5,421},{0,13,425},{28,0,425},{28,0,425},{28,0,425},{28,0,425},{42,11,4},{42,11,4},{42,11,4},{42,47,5},{8,15,4},{8,15,4},{30,1,950},{14,21,458},{30,25,658},
{14,41,446},{28,1,1542},{12,23,438},{12,25,20},{12,43,658},{36,7,1518},{38,27,470},{46,1,430},{46,37,10},{47,25,41},{46,41,82},{14,3,1514},{26,7,422},{28,41,11},{20,27,426},{32,5,1514},{20,27,426},{14,19,421},{14,19,421},{14,19,421},{14,11,422},{12,35,339},{12,25,11},{12,25,11},{12,29,51},{38,41,338},{24,29,6},{46,37,9},{46,37,9},{46,37,9},{46,27,10},{23,2,338},
{28,41,2},{28,41,2},{40,29,1},{20,9,338},{40,29,1},{17,0,421},{46,37,1},{31,25,10},{26,25,9},{17,0,421},{18,3,421},{26,25,9},{0,27,425},{18,3,421},{0,27,425},{14,0,421},{14,0,421},{14,0,421},{14,0,421},{12,9,2},{12,9,2},{12,9,2},{12,15,1},{24,13,5},{24,13,5},{46,1,1010},{46,5,462},{46,39,650},{30,25,454},{14,1,1575},{28,7,446},{44,9,8},
{28,27,658},{6,21,1523},{24,11,454},{31,1,422},{31,21,6},{31,9,50},{47,25,77},{46,3,1514},{42,21,425},{44,9,4},{22,11,425},{16,3,1514},{22,11,425},{30,17,426},{30,17,426},{30,17,426},{30,25,429},{44,19,344},{44,9,8},{44,9,8},{28,13,43},{8,9,340},{10,43,9},{31,37,1},{31,37,1},{31,37,1},{31,11,2},{37,2,338},{44,9,4},{44,9,4},{10,43,5},{34,7,338},
{10,43,5},{31,1,421},{31,21,5},{45,9,0},{12,9,1},{31,1,421},{32,1,421},{12,9,1},{0,11,425},{32,1,421},{0,11,425},{30,0,425},{30,0,425},{30,0,425},{30,0,425},{44,9,4},{44,9,4},{44,9,4},{44,45,5},{10,13,4},{10,13,4},{31,1,1098},{47,19,453},{47,23,667},{47,39,473},{46,1,1641},{14,21,438},{14,39,14},{14,41,658},{38,5,1518},{40,25,465},{45,1,437},
{15,5,2},{45,23,41},{15,39,86},{31,3,1514},{28,5,422},{30,39,9},{22,25,426},{34,3,1514},{22,25,426},{47,17,434},{47,17,434},{47,17,434},{47,9,437},{14,33,339},{14,39,10},{14,39,10},{14,43,53},{40,39,341},{26,27,2},{15,5,1},{15,5,1},{15,5,1},{15,25,5},{44,1,338},{30,9,5},{30,9,5},{26,27,1},{26,9,338},{26,27,1},{45,1,421},{15,5,1},{13,39,8},
{14,39,4},{45,1,421},{20,1,421},{14,39,4},{0,25,425},{20,1,421},{0,25,425},{47,0,433},{47,0,433},{47,0,433},{47,0,433},{14,7,2},{14,7,2},{14,7,2},{14,13,1},{26,27,2},{26,27,2},{45,1,1202},{31,33,465},{15,37,655},{31,7,461},{47,1,1725},{30,35,446},{46,7,6},{30,25,670},{24,19,1518},{26,9,458},{13,1,469},{29,19,1},{13,7,52},{29,23,85},{15,1,1514},
{14,35,426},{46,7,5},{24,9,434},{9,11,1514},{24,9,434},{31,1,434},{31,1,434},{31,1,434},{31,39,426},{46,17,339},{46,7,6},{46,7,6},{30,11,48},{10,7,341},{12,41,2},{29,19,1},{29,19,1},{29,19,1},{29,9,0},{31,5,338},{47,23,4},{47,23,4},{12,41,1},{14,9,338},{12,41,1},{43,1,421},{29,19,1},{43,7,0},{30,7,0},{43,1,421},{8,1,421},{30,7,0},
{0,9,433},{8,1,421},{0,9,433},{31,0,425},{31,0,425},{31,0,425},{31,0,425},{46,7,2},{46,7,2},{46,7,2},{46,27,5},{12,41,1},{12,41,1},{29,1,1346},{45,17,454},{29,21,653},{45,37,459},{45,1,1818},{47,19,446},{47,37,13},{46,39,679},{10,3,1518},{42,23,455},{27,1,526},{13,33,5},{43,21,38},{13,7,93},{27,5,1514},{30,3,425},{31,37,11},{40,23,421},{6,1,1514},
{40,23,421},{45,1,434},{45,1,434},{45,1,434},{45,7,429},{47,1,340},{47,37,4},{47,37,4},{47,25,50},{42,37,338},{44,25,5},{13,33,4},{13,33,4},{13,33,4},{13,23,5},{17,2,338},{31,37,2},{31,37,2},{44,25,1},{16,1,338},{44,25,1},{11,1,421},{13,33,1},{27,21,5},{30,21,5},{11,1,421},{26,1,421},{30,21,5},{0,23,421},{26,1,421},{0,23,421},{45,0,425},
{45,0,425},{45,0,425},{45,0,425},{47,5,1},{47,5,1},{47,5,1},{47,11,0},{44,25,4},{44,25,4},{43,1,1502},{13,1,478},{13,35,655},{29,5,461},{29,1,1926},{31,3,446},{15,5,19},{47,7,685},{26,17,1518},{28,7,454},{11,1,569},{27,17,6},{27,5,50},{43,21,97},{17,10,1514},{47,33,425},{15,5,10},{26,7,426},{24,1,1514},{26,7,426},{13,1,477},{13,1,477},{13,1,477},
{29,37,426},{15,1,355},{15,21,11},{15,21,11},{31,9,41},{12,5,341},{14,39,6},{27,33,1},{27,33,1},{27,33,1},{27,7,2},{29,3,338},{15,21,2},{15,21,2},{14,39,5},{43,9,338},{14,39,5},{25,1,421},{43,1,5},{41,5,0},{31,5,1},{25,1,421},{14,1,421},{31,5,1},{0,7,425},{14,1,421},{0,7,425},{29,0,425},{29,0,425},{29,0,425},{29,0,425},{31,19,9},
{31,19,9},{31,19,9},{31,25,10},{14,39,2},{14,39,2},{11,1,1634},{43,1,542},{43,19,659},{43,35,459},{43,1,2070},{45,17,446},{45,35,13},{15,37,655},{12,1,1518},{44,21,455},{25,1,646},{11,1,9},{41,19,43},{11,5,93},{25,3,1514},{31,1,422},{29,35,11},{42,21,421},{12,1,1514},{42,21,421},{43,1,506},{43,1,506},{43,1,506},{43,5,429},{29,1,381},{45,35,4},{45,35,4},
{45,23,50},{44,35,338},{46,23,5},{11,1,5},{11,1,5},{11,1,5},{11,21,5},{39,11,338},{29,35,2},{29,35,2},{46,23,1},{22,1,338},{46,23,1},{39,1,421},{11,1,5},{25,19,10},{31,19,9},{39,1,421},{31,1,421},{31,19,9},{0,21,421},{31,1,421},{0,21,421},{43,0,425},{43,0,425},{43,0,425},{43,0,425},{45,19,0},{45,19,0},{45,19,0},{45,9,0},{46,23,4},
{46,23,4},{25,1,1874},{11,1,666},{11,33,657},{27,3,451},{11,1,2201},{13,1,454},{13,3,9},{29,5,674},{14,1,1557},{30,5,458},{39,1,722},{9,1,62},{9,33,50},{25,19,85},{9,1,1514},{29,1,446},{13,3,5},{44,5,433},{46,1,1514},{44,5,433},{11,1,545},{11,1,545},{11,1,545},{27,19,429},{43,1,437},{13,3,8},{13,3,8},{29,7,48},{30,19,341},{47,37,6},{25,1,9},
{25,1,9},{25,1,9},{25,5,0},{25,5,338},{13,3,4},{13,3,4},{47,37,2},{10,1,338},{47,37,2},{37,1,421},{9,1,37},{39,3,2},{29,3,1},{37,1,421},{43,1,421},{29,3,1},{0,5,433},{43,1,421},{0,5,433},{27,0,425},{27,0,425},{27,0,425},{27,0,425},{13,3,4},{13,3,4},{13,3,4},{13,39,5},{46,21,5},{46,21,5},{9,1,2030},{25,1,882},{25,17,653},
{41,33,453},{9,1,2382},{27,1,546},{43,17,15},{13,35,661},{47,1,1653},{46,19,462},{7,1,837},{39,1,162},{39,17,38},{9,33,89},{19,9,1514},{27,1,521},{43,17,14},{44,19,421},{45,1,1514},{44,19,421},{25,1,626},{25,1,626},{25,1,626},{41,3,422},{11,1,488},{43,17,11},{43,17,11},{43,21,54},{46,33,340},{31,21,9},{39,1,18},{39,1,18},{39,1,18},{9,19,10},{9,3,338},
{27,33,2},{27,33,2},{15,21,4},{31,3,338},{15,21,4},{5,1,421},{7,1,80},{7,17,8},{13,17,5},{5,1,421},{9,1,421},{13,17,5},{0,19,421},{9,1,421},{0,19,421},{41,0,421},{41,0,421},{41,0,421},{41,0,421},{43,1,1},{43,1,1},{43,1,1},{43,7,1},{31,5,5},{31,5,5},{23,1,2201},{39,1,1083},{9,1,670},{25,1,450},{39,1,2443},{11,1,684},{11,1,8},
{27,3,634},{29,1,1751},{31,3,429},{21,1,890},{7,1,277},{7,1,52},{23,17,74},{21,17,1459},{25,1,603},{11,1,4},{30,3,401},{17,21,1459},{30,3,401},{9,1,670},{9,1,670},{9,1,670},{25,17,429},{25,1,579},{11,1,8},{11,1,8},{27,5,50},{47,1,340},{15,35,6},{7,1,52},{7,1,52},{7,1,52},{23,3,0},{23,3,338},{11,1,4},{11,1,4},{15,35,2},{43,3,338},
{15,35,2},{19,1,392},{5,1,149},{37,1,1},{27,1,0},{19,1,392},{37,1,392},{27,1,0},{0,3,400},{37,1,392},{0,3,400},{25,0,425},{25,0,425},{25,0,425},{25,0,425},{11,1,4},{11,1,4},{11,1,4},{11,37,5},{15,35,5},{15,35,5},{7,1,1901},{23,1,1050},{23,1,761},{39,1,426},{7,1,2093},{9,1,551},{25,1,35},{11,33,382},{13,1,1407},{45,33,219},{5,1,638},
{21,1,233},{21,1,89},{7,1,29},{17,39,1064},{23,1,398},{9,1,10},{31,33,202},{39,17,1064},{31,33,202},{23,1,761},{23,1,761},{23,1,761},{39,1,426},{9,1,638},{25,1,35},{25,1,35},{41,19,51},{45,1,355},{29,19,6},{21,1,89},{21,1,89},{21,1,89},{7,17,5},{3,25,338},{9,1,10},{9,1,10},{13,19,1},{29,1,338},{13,19,1},{3,1,200},{35,1,68},{5,1,1},
{9,1,1},{3,1,200},{5,1,200},{9,1,1},{0,33,202},{5,1,200},{0,33,202},{39,0,425},{39,0,425},{39,0,425},{39,0,425},{25,1,26},{25,1,26},{25,1,26},{41,5,1},{29,3,5},{29,3,5},{21,1,1606},{37,1,1085},{7,1,886},{7,1,461},{21,1,1749},{23,1,470},{39,1,117},{25,33,186},{11,1,1166},{13,17,66},{19,1,461},{35,1,213},{5,1,125},{21,1,2},{3,3,722},
{7,1,266},{23,1,37},{29,17,61},{3,3,722},{29,17,61},{7,1,886},{7,1,886},{7,1,886},{7,1,461},{23,1,770},{39,1,117},{39,1,117},{9,3,51},{43,1,426},{43,33,1},{5,1,125},{5,1,125},{5,1,125},{21,1,2},{19,5,338},{23,1,37},{23,1,37},{43,33,0},{37,3,338},{43,33,0},{1,3,61},{33,1,25},{3,1,1},{5,1,1},{1,3,61},{3,1,61},{5,1,1},
{0,17,61},{3,1,61},{0,17,61},{23,0,433},{23,0,433},{23,0,433},{23,0,433},{9,1,37},{9,1,37},{9,1,37},{9,19,5},{43,33,1},{43,33,1},{5,1,1450},{5,1,1109},{21,1,965},{37,1,542},{5,1,1505},{7,1,478},{7,1,253},{39,17,79},{9,1,1054},{27,1,10},{3,1,318},{19,1,221},{19,1,185},{35,1,29},{33,33,509},{35,1,210},{21,1,97},{27,1,10},{33,33,509},
{27,1,10},{21,1,965},{21,1,965},{21,1,965},{37,1,542},{21,1,900},{7,1,253},{7,1,253},{39,17,54},{41,1,549},{11,17,9},{19,1,185},{19,1,185},{19,1,185},{35,1,29},{3,3,338},{21,1,97},{21,1,97},{11,17,5},{3,3,338},{11,17,5},{1,17,5},{17,1,1},{17,1,0},{33,1,0},{1,17,5},{17,1,5},{33,1,0},{0,1,9},{17,1,5},{0,1,9},{37,0,421},
{37,0,421},{37,0,421},{37,0,421},{23,1,65},{23,1,65},{23,1,65},{39,3,2},{27,1,1},{27,1,1},{35,1,1213},{35,1,953},{5,1,886},{5,1,545},{35,1,1186},{21,1,448},{21,1,304},{23,1,32},{23,1,790},{25,1,13},{33,1,198},{3,1,150},{3,1,125},{19,1,36},{33,1,294},{19,1,121},{35,1,73},{9,1,0},{1,33,294},{9,1,0},{5,1,886},{5,1,886},{5,1,886},
{5,1,545},{5,1,765},{21,1,304},{21,1,304},{23,1,32},{39,1,486},{25,1,13},{3,1,125},{3,1,125},{3,1,125},{19,1,36},{3,1,221},{35,1,73},{35,1,73},{9,1,0},{5,1,221},{9,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{21,0,433},{21,0,433},{21,0,433},{21,0,433},{37,1,113},
{37,1,113},{37,1,113},{7,17,8},{25,1,13},{25,1,13},{3,1,885},{19,1,737},{19,1,701},{35,1,485},{19,1,834},{5,1,364},{5,1,264},{37,1,2},{7,1,554},{39,1,45},{17,1,82},{33,1,62},{33,1,53},{33,1,13},{1,3,114},{33,1,54},{3,1,34},{21,1,1},{3,1,114},{21,1,1},{19,1,701},{19,1,701},{19,1,701},{35,1,485},{35,1,574},{5,1,264},{5,1,264},
{37,1,2},{7,1,329},{39,1,45},{33,1,53},{33,1,53},{33,1,53},{33,1,13},{33,1,85},{3,1,34},{3,1,34},{21,1,1},{19,1,85},{21,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{35,0,421},{35,0,421},{35,0,421},{35,0,421},{21,1,160},{21,1,160},{21,1,160},{37,1,2},{39,1,45},
{39,1,45},{0,30,882},{0,10,100},{0,38,2},{0,6,340},{0,10,1896},{0,22,1189},{0,6,565},{0,4,1421},{0,20,2043},{0,4,1521},{0,30,882},{0,10,100},{0,38,2},{0,6,340},{4,2,1896},{0,22,1189},{0,6,565},{0,4,1421},{10,0,1896},{0,4,1421},{0,22,1},{0,22,1},{0,22,1},{0,34,0},{0,4,164},{0,18,52},{0,18,52},{0,32,98},{0,32,179},{0,32,107},{0,22,1},
{0,22,1},{0,22,1},{0,34,0},{32,16,162},{0,18,52},{0,18,52},{0,32,98},{16,32,162},{0,32,98},{38,0,882},{0,10,100},{0,38,2},{0,6,340},{38,0,882},{30,0,882},{0,6,340},{0,20,884},{30,0,882},{0,20,884},{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},{0,15,884},{0,12,34},{0,24,13},
{0,38,250},{0,12,2355},{0,8,1355},{0,22,585},{0,20,1669},{0,36,2567},{0,20,1813},{0,15,884},{0,12,34},{0,24,13},{0,38,250},{0,12,2355},{0,8,1355},{0,22,585},{0,20,1669},{12,0,2355},{0,20,1669},{0,10,0},{0,10,0},{0,10,0},{0,20,1},{0,20,340},{0,4,125},{0,4,125},{0,2,200},{0,18,376},{0,2,225},{0,10,0},{0,10,0},{0,10,0},{0,20,1},{16,4,338},
{0,4,125},{0,4,125},{0,2,200},{4,16,338},{0,2,200},{24,0,882},{0,12,34},{16,24,4},{0,38,250},{24,0,882},{32,8,882},{0,38,250},{0,6,884},{32,8,882},{0,6,884},{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},{0,27,882},{0,14,9},{0,40,81},{0,8,202},{0,14,2899},{0,24,1539},{0,8,643},
{0,6,2004},{0,6,3189},{0,36,2207},{0,27,882},{0,14,9},{16,40,61},{0,8,202},{6,2,2899},{0,24,1539},{0,8,643},{0,6,2004},{14,0,2899},{0,6,2004},{0,28,1},{0,28,1},{0,28,1},{0,6,4},{0,22,578},{0,36,221},{0,36,221},{0,18,365},{0,18,632},{0,18,401},{0,28,1},{0,28,1},{0,28,1},{0,6,4},{32,4,578},{0,36,221},{0,36,221},{0,18,365},{22,0,578},
{0,18,365},{38,6,882},{0,14,9},{2,40,1},{0,8,202},{38,6,882},{27,0,882},{0,8,202},{0,22,884},{27,0,882},{0,22,884},{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},{16,25,910},{16,46,31},{16,26,151},{0,40,181},{0,31,3048},{0,26,1416},{0,40,506},{0,22,1944},{0,38,3484},{0,6,2233},{16,25,885},
{16,46,6},{32,26,78},{16,40,165},{36,6,3048},{0,26,1416},{0,40,506},{0,22,1944},{31,0,3048},{0,22,1944},{16,30,26},{16,30,26},{16,30,26},{16,38,27},{0,24,650},{0,22,157},{0,22,157},{0,4,325},{0,4,766},{0,4,425},{16,30,1},{16,30,1},{16,30,1},{16,38,2},{18,4,648},{0,22,157},{0,22,157},{0,4,325},{36,2,648},{0,4,325},{26,2,882},{0,46,5},{18,26,4},
{0,40,145},{26,2,882},{38,8,882},{0,40,145},{0,8,890},{38,8,882},{0,8,890},{16,0,26},{16,0,26},{16,0,26},{16,0,26},{0,18,0},{0,18,0},{0,18,0},{0,32,1},{0,16,10},{0,16,10},{16,7,1009},{16,31,134},{32,12,297},{16,26,238},{0,43,3048},{0,28,1224},{0,26,267},{0,8,1764},{0,24,3685},{0,38,2157},{2,9,885},{2,47,5},{18,12,77},{32,26,165},{6,8,3048},
{0,28,1224},{0,26,267},{0,8,1764},{43,0,3048},{0,8,1764},{16,45,125},{16,45,125},{16,45,125},{16,40,126},{0,28,648},{0,24,80},{0,24,80},{0,36,260},{0,6,875},{0,20,413},{2,46,1},{2,46,1},{2,46,1},{2,24,2},{2,24,648},{0,24,80},{0,24,80},{0,36,260},{28,0,648},{0,36,260},{44,0,882},{2,47,4},{4,42,1},{0,26,98},{44,0,882},{26,8,882},{0,26,98},
{0,24,890},{26,8,882},{0,24,890},{16,0,125},{16,0,125},{16,0,125},{16,0,125},{0,6,0},{0,6,0},{0,6,0},{0,18,1},{0,18,37},{0,18,37},{32,5,1147},{32,45,282},{2,44,523},{32,12,381},{0,9,3051},{0,14,1110},{0,12,116},{0,24,1658},{0,26,3859},{0,8,2173},{18,23,886},{18,15,6},{34,28,69},{18,42,166},{40,4,3048},{0,14,1110},{0,12,116},{0,24,1658},{22,8,3048},
{0,24,1658},{32,13,265},{32,13,265},{32,13,265},{32,10,266},{0,46,650},{0,26,26},{0,26,26},{0,22,194},{0,22,987},{0,6,427},{18,15,5},{18,15,5},{18,15,5},{18,40,5},{22,2,648},{0,26,26},{0,26,26},{0,22,194},{42,2,648},{0,22,194},{30,0,882},{18,15,2},{20,28,4},{0,12,52},{30,0,882},{33,0,882},{0,12,52},{0,10,884},{33,0,882},{0,10,884},{32,0,265},
{32,0,265},{32,0,265},{32,0,265},{0,24,0},{0,24,0},{0,24,0},{0,4,4},{0,34,89},{0,34,89},{2,3,1365},{2,13,510},{18,14,813},{2,28,566},{0,37,3048},{0,46,1013},{0,44,42},{0,10,1509},{0,12,4057},{0,10,2185},{4,7,885},{4,45,10},{20,44,86},{34,28,173},{28,0,3048},{0,46,1013},{0,44,42},{0,10,1509},{37,0,3048},{0,10,1509},{2,11,482},{2,11,482},{2,11,482},
{2,42,481},{0,29,650},{0,12,4},{0,12,4},{0,38,128},{0,8,1161},{0,22,483},{4,15,2},{4,15,2},{4,15,2},{4,26,2},{8,2,648},{0,12,4},{0,12,4},{0,38,128},{30,2,648},{0,38,128},{47,0,882},{34,45,2},{6,44,1},{0,44,26},{47,0,882},{27,6,882},{0,44,26},{0,26,890},{27,6,882},{0,26,890},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{0,12,0},
{0,12,0},{0,12,0},{0,6,1},{0,20,180},{0,20,180},{18,17,1647},{18,27,810},{34,46,1178},{2,14,837},{0,19,3048},{0,15,933},{0,14,21},{0,26,1443},{0,28,4329},{0,26,2227},{20,21,885},{20,29,5},{36,30,69},{20,44,182},{42,6,3048},{0,15,933},{0,14,21},{0,26,1443},{19,0,3048},{0,26,1443},{18,25,765},{18,25,765},{18,25,765},{18,28,766},{0,11,648},{0,14,5},{0,14,5},
{0,24,89},{0,10,1342},{0,8,557},{20,29,1},{20,29,1},{20,29,1},{20,42,2},{24,4,648},{16,44,2},{16,44,2},{0,24,89},{11,0,648},{0,24,89},{34,3,882},{4,13,4},{22,30,4},{0,14,17},{34,3,882},{35,4,882},{0,14,17},{0,12,884},{35,4,882},{0,12,884},{18,0,765},{18,0,765},{18,0,765},{18,0,765},{0,30,0},{0,30,0},{0,30,0},{0,38,0},{0,6,274},
{0,6,274},{34,1,1782},{34,41,940},{4,31,1356},{34,46,950},{16,1,3052},{16,29,910},{16,46,22},{0,12,1335},{0,46,4231},{0,12,1924},{6,5,882},{6,43,5},{22,47,86},{36,30,174},{32,3,3048},{0,13,900},{32,46,13},{0,12,1299},{39,4,3048},{0,12,1299},{34,23,882},{34,23,882},{34,23,882},{34,14,883},{16,9,651},{16,46,18},{16,46,18},{16,10,74},{0,42,1256},{0,40,434},{6,13,0},
{6,13,0},{6,13,0},{6,28,1},{38,10,648},{2,30,2},{2,30,2},{0,10,45},{23,0,648},{0,10,45},{4,1,882},{36,27,4},{8,46,4},{0,46,5},{4,1,882},{1,4,882},{0,46,5},{0,28,890},{1,4,882},{0,28,890},{34,0,882},{34,0,882},{34,0,882},{34,0,882},{16,31,1},{16,31,1},{16,31,1},{16,24,1},{0,8,250},{0,8,250},{20,1,1814},{20,25,945},{36,15,1363},
{4,47,945},{2,1,3052},{32,43,916},{2,47,23},{16,44,1337},{0,31,3975},{0,28,1612},{22,19,886},{22,11,6},{38,31,77},{22,46,185},{2,1,3048},{0,27,883},{2,47,19},{0,44,1188},{1,2,3048},{0,44,1188},{20,7,901},{20,7,901},{20,7,901},{20,30,900},{2,9,654},{2,47,14},{2,47,14},{32,26,70},{0,28,1059},{0,26,236},{22,27,4},{22,27,4},{22,27,4},{22,14,8},{28,2,648},
{18,46,5},{18,46,5},{0,42,36},{42,8,648},{0,42,36},{27,0,882},{22,11,2},{24,31,4},{0,31,5},{27,0,882},{37,8,882},{0,31,5},{0,14,882},{37,8,882},{0,14,882},{4,0,900},{4,0,900},{4,0,900},{4,0,900},{2,15,5},{2,15,5},{2,15,5},{2,40,4},{0,40,146},{0,40,146},{6,1,1864},{36,39,947},{6,29,1356},{36,31,943},{34,1,3073},{18,27,910},{18,15,21},
{2,14,1335},{0,45,3751},{0,14,1379},{8,3,885},{8,41,5},{24,15,85},{38,31,182},{29,0,3048},{32,11,884},{34,15,16},{0,30,1146},{37,6,3048},{0,30,1146},{36,21,882},{36,21,882},{36,21,882},{36,47,886},{18,7,649},{18,15,21},{18,15,21},{18,12,74},{0,14,945},{0,12,91},{8,11,2},{8,11,2},{8,11,2},{8,30,2},{16,3,648},{34,31,1},{34,31,1},{0,12,10},{17,0,648},
{0,12,10},{28,13,882},{38,25,4},{10,15,1},{2,15,1},{28,13,882},{27,12,882},{2,15,1},{0,30,890},{27,12,882},{0,30,890},{36,0,882},{36,0,882},{36,0,882},{36,0,882},{18,29,1},{18,29,1},{18,29,1},{18,26,1},{0,42,68},{0,42,68},{22,1,1944},{22,23,945},{38,13,1363},{6,45,945},{20,1,3115},{34,41,916},{4,45,18},{18,46,1337},{0,13,3580},{0,46,1153},{24,17,886},
{24,9,6},{40,29,69},{24,15,168},{46,10,3048},{2,25,885},{4,45,14},{0,46,1053},{23,8,3048},{0,46,1053},{22,5,901},{22,5,901},{22,5,901},{6,31,901},{4,7,654},{4,45,9},{4,45,9},{34,28,70},{0,47,825},{0,44,25},{24,25,4},{24,25,4},{24,25,4},{24,46,8},{30,4,648},{20,15,0},{20,15,0},{0,44,0},{15,8,648},{0,44,0},{40,3,882},{24,9,2},{26,29,4},
{2,29,5},{40,3,882},{16,9,882},{2,29,5},{0,47,890},{16,9,882},{0,47,890},{6,0,900},{6,0,900},{6,0,900},{6,0,900},{4,13,5},{4,13,5},{4,13,5},{4,42,4},{0,28,18},{0,28,18},{8,1,2056},{38,21,956},{8,43,1348},{38,29,949},{6,1,3156},{20,25,910},{20,13,22},{4,47,1318},{0,11,3384},{0,31,1015},{10,1,882},{10,39,5},{26,13,75},{40,29,174},{27,2,3048},
{34,9,885},{36,13,10},{0,31,990},{39,10,3048},{0,31,990},{38,3,885},{38,3,885},{38,3,885},{38,45,885},{20,5,649},{20,13,21},{20,13,21},{20,14,66},{0,15,729},{0,30,5},{10,9,0},{10,9,0},{10,9,0},{10,31,1},{45,0,648},{6,29,2},{6,29,2},{16,30,4},{27,8,648},{16,30,4},{10,1,882},{40,23,1},{12,13,1},{4,13,1},{10,1,882},{4,9,882},{4,13,1},
{0,31,890},{4,9,882},{0,31,890},{38,0,884},{38,0,884},{38,0,884},{38,0,884},{20,27,1},{20,27,1},{20,27,1},{20,28,1},{0,30,1},{0,30,1},{40,1,2134},{24,21,943},{40,11,1348},{8,43,952},{38,1,3240},{36,39,914},{6,27,22},{36,15,1330},{0,25,3244},{0,15,951},{42,1,891},{26,7,10},{42,27,77},{26,13,171},{8,1,3048},{4,23,886},{6,27,21},{0,15,950},{1,8,3048},
{0,15,950},{24,3,890},{24,3,890},{24,3,890},{24,29,890},{6,35,649},{6,43,10},{6,43,10},{36,30,77},{0,13,675},{32,46,6},{26,7,10},{26,7,10},{26,7,10},{26,15,10},{29,2,648},{22,13,2},{22,13,2},{2,46,2},{35,6,648},{2,46,2},{21,0,882},{26,7,1},{28,27,4},{4,27,5},{21,0,882},{18,7,882},{4,27,5},{0,45,884},{18,7,882},{0,45,884},{24,0,890},
{24,0,890},{24,0,890},{24,0,890},{6,11,1},{6,11,1},{6,11,1},{6,44,2},{16,47,2},{16,47,2},{26,1,2252},{40,35,940},{10,41,1348},{40,27,954},{24,1,3321},{22,23,910},{22,11,22},{6,45,1318},{0,39,3156},{0,29,940},{28,1,920},{12,37,5},{28,41,77},{12,27,180},{23,0,3048},{36,7,884},{38,11,10},{0,29,915},{18,9,3048},{0,29,915},{40,17,882},{40,17,882},{40,17,882},
{40,43,883},{22,3,649},{38,27,20},{38,27,20},{22,47,86},{0,27,656},{2,31,9},{12,7,0},{12,7,0},{12,7,0},{12,29,1},{43,2,648},{38,27,4},{38,27,4},{34,47,4},{21,8,648},{34,47,4},{14,3,882},{42,21,1},{14,11,1},{6,11,1},{14,3,882},{32,5,882},{6,11,1},{0,29,890},{32,5,882},{0,29,890},{40,0,882},{40,0,882},{40,0,882},{40,0,882},{22,25,1},
{22,25,1},{22,25,1},{22,30,2},{2,31,0},{2,31,0},{42,1,2404},{26,19,935},{42,9,1348},{10,41,952},{40,1,3409},{38,37,914},{8,41,30},{38,29,1354},{0,37,3087},{2,13,951},{14,1,954},{28,5,6},{44,25,77},{28,11,185},{9,6,3048},{6,21,886},{24,41,21},{0,43,900},{32,7,3048},{0,43,900},{26,1,891},{26,1,891},{26,1,891},{26,27,891},{8,3,654},{8,41,14},{8,41,14},
{38,31,77},{16,41,651},{34,15,3},{28,5,5},{28,5,5},{28,5,5},{28,13,5},{38,1,648},{24,11,2},{24,11,2},{4,15,2},{43,28,648},{4,15,2},{46,3,882},{28,5,2},{30,25,4},{6,25,5},{46,3,882},{16,3,882},{6,25,5},{0,43,884},{16,3,882},{0,43,884},{26,0,890},{26,0,890},{26,0,890},{26,0,890},{8,9,5},{8,9,5},{8,9,5},{8,46,4},{34,15,2},
{34,15,2},{28,1,2612},{12,3,951},{28,39,1354},{42,9,952},{26,1,3544},{24,21,910},{40,9,30},{8,43,1348},{0,35,3060},{18,27,935},{30,1,1005},{14,35,3},{30,39,77},{44,25,185},{41,12,3048},{38,35,890},{40,9,14},{0,27,891},{16,5,3048},{0,27,891},{42,1,900},{42,1,900},{42,1,900},{42,41,885},{24,1,654},{40,25,21},{40,25,21},{24,45,77},{2,9,651},{4,29,6},{14,5,2},
{14,5,2},{14,5,2},{14,27,2},{39,0,648},{10,25,2},{10,25,2},{4,29,5},{9,28,648},{4,29,5},{1,0,882},{44,19,2},{47,9,4},{8,9,5},{1,0,882},{0,1,882},{8,9,5},{0,27,890},{0,1,882},{0,27,890},{42,0,884},{42,0,884},{42,0,884},{42,0,884},{24,7,5},{24,7,5},{24,7,5},{24,31,4},{4,29,2},{4,29,2},{14,1,2774},{28,1,940},{44,7,1318},
{12,39,966},{12,1,3700},{40,35,916},{10,23,22},{40,11,1348},{16,19,3051},{34,41,940},{47,1,1061},{30,3,9},{46,23,86},{30,9,190},{14,1,3048},{8,19,886},{26,39,20},{16,41,882},{4,5,3048},{16,41,882},{28,1,915},{28,1,915},{28,1,915},{28,25,890},{10,1,657},{10,39,10},{10,39,10},{40,29,77},{18,39,654},{36,13,5},{46,35,4},{46,35,4},{46,35,4},{46,11,4},{23,2,648},
{42,9,4},{42,9,4},{6,13,0},{20,9,648},{6,13,0},{15,1,882},{30,3,0},{31,23,2},{24,23,1},{15,1,882},{9,11,882},{24,23,1},{0,41,882},{9,11,882},{0,41,882},{28,0,890},{28,0,890},{28,0,890},{28,0,890},{10,7,1},{10,7,1},{10,7,1},{10,15,1},{20,43,1},{20,43,1},{46,1,3014},{14,1,951},{14,37,1330},{44,23,958},{14,1,3865},{26,19,913},{26,7,22},
{10,41,1348},{32,33,3049},{20,25,943},{15,1,1154},{47,33,6},{31,37,77},{46,23,185},{17,0,3048},{40,3,885},{42,7,10},{2,25,890},{18,3,3048},{2,25,890},{14,1,950},{14,1,950},{14,1,950},{44,39,885},{42,1,672},{26,7,21},{26,7,21},{26,43,77},{34,7,652},{6,27,10},{47,3,2},{47,3,2},{47,3,2},{47,25,2},{37,2,648},{12,23,2},{12,23,2},{6,27,10},{34,7,648},
{6,27,10},{27,5,882},{46,17,2},{45,7,2},{10,7,1},{27,5,882},{6,1,882},{10,7,1},{0,25,890},{6,1,882},{0,25,890},{44,0,884},{44,0,884},{44,0,884},{44,0,884},{26,5,5},{26,5,5},{26,5,5},{26,29,4},{6,27,1},{6,27,1},{47,1,3214},{30,1,1015},{46,5,1318},{14,37,966},{30,1,4009},{42,33,916},{12,21,22},{42,9,1348},{18,17,3051},{20,39,956},{29,1,1240},
{31,1,5},{15,21,66},{31,7,185},{27,9,3048},{10,17,886},{12,21,21},{2,39,885},{14,7,3048},{2,39,885},{30,1,990},{30,1,990},{30,1,990},{30,23,890},{28,1,715},{12,37,10},{12,37,10},{12,27,75},{20,37,651},{38,11,5},{31,17,4},{31,17,4},{31,17,4},{31,9,8},{44,1,648},{28,7,2},{28,7,2},{8,11,0},{26,9,648},{8,11,0},{17,10,882},{31,1,1},{29,21,1},
{26,21,1},{17,10,882},{24,1,882},{26,21,1},{0,39,884},{24,1,882},{0,39,884},{30,0,890},{30,0,890},{30,0,890},{30,0,890},{12,5,1},{12,5,1},{12,5,1},{12,13,1},{22,41,1},{22,41,1},{15,1,3526},{47,1,1153},{47,19,1337},{46,5,958},{47,1,4231},{28,17,910},{44,5,18},{12,39,1363},{20,1,3067},{22,23,945},{43,1,1380},{45,1,25},{29,35,70},{45,21,185},{13,3,3048},
{12,1,888},{44,5,9},{18,7,901},{44,5,3048},{18,7,901},{47,1,1053},{47,1,1053},{47,1,1053},{46,37,890},{14,1,762},{44,5,14},{44,5,14},{28,41,69},{6,5,650},{8,25,6},{45,1,0},{45,1,0},{45,1,0},{45,23,0},{31,5,648},{14,21,0},{14,21,0},{24,25,4},{14,9,648},{24,25,4},{41,1,882},{29,1,18},{43,5,4},{12,5,5},{41,1,882},{47,3,882},{12,5,5},
{0,7,900},{47,3,882},{0,7,900},{46,0,890},{46,0,890},{46,0,890},{46,0,890},{28,3,5},{28,3,5},{28,3,5},{28,27,4},{8,25,2},{8,25,2},{29,1,3764},{15,1,1379},{15,3,1335},{47,35,950},{15,1,4477},{14,1,925},{14,19,21},{28,7,1356},{22,1,3145},{38,37,947},{11,1,1485},{13,1,91},{13,19,74},{29,35,178},{43,1,3048},{14,1,925},{14,19,21},{20,37,882},{8,1,3048},
{20,37,882},{31,1,1146},{31,1,1146},{31,1,1146},{31,21,890},{46,1,841},{14,35,16},{14,35,16},{14,25,85},{38,35,649},{40,9,5},{13,1,10},{13,1,10},{13,1,10},{13,7,9},{17,2,648},{30,35,1},{30,35,1},{10,9,2},{16,1,648},{10,9,2},{9,1,882},{43,1,68},{27,19,1},{28,19,1},{9,1,882},{46,1,882},{28,19,1},{0,37,882},{46,1,882},{0,37,882},{31,0,890},
{31,0,890},{31,0,890},{31,0,890},{14,3,1},{14,3,1},{14,3,1},{14,11,1},{40,9,4},{40,9,4},{13,1,4076},{29,1,1612},{45,17,1337},{15,3,950},{29,1,4684},{46,1,1035},{46,3,23},{14,37,1363},{24,1,3256},{24,21,945},{41,1,1650},{27,1,236},{27,33,70},{13,19,174},{11,1,3048},{47,1,1013},{46,3,14},{20,5,901},{5,9,3048},{20,5,901},{45,1,1188},{45,1,1188},{45,1,1188},
{15,35,883},{47,1,910},{46,3,19},{46,3,19},{30,39,77},{8,3,651},{10,23,6},{43,1,36},{43,1,36},{43,1,36},{43,21,1},{29,3,648},{47,19,5},{47,19,5},{26,23,4},{43,9,648},{26,23,4},{19,9,882},{41,1,146},{41,3,4},{14,3,5},{19,9,882},{45,1,882},{14,3,5},{0,5,900},{45,1,882},{0,5,900},{15,0,882},{15,0,882},{15,0,882},{15,0,882},{30,1,5},
{30,1,5},{30,1,5},{30,25,4},{10,23,2},{10,23,2},{11,1,4374},{13,1,1924},{13,1,1335},{45,33,961},{13,1,4972},{47,1,1225},{47,17,22},{30,5,1356},{26,1,3460},{40,35,940},{9,1,1755},{41,1,434},{11,17,74},{27,3,185},{23,5,3048},{15,1,1146},{47,17,18},{22,35,882},{14,1,3048},{22,35,882},{13,1,1299},{13,1,1299},{13,1,1299},{29,19,890},{15,1,1017},{47,33,13},{47,33,13},
{46,23,86},{40,33,652},{42,7,5},{11,1,45},{11,1,45},{11,1,45},{27,5,5},{39,11,648},{31,3,2},{31,3,2},{12,7,0},{22,1,648},{12,7,0},{21,17,882},{9,1,250},{25,17,1},{30,17,1},{21,17,882},{17,21,882},{30,17,1},{0,35,882},{17,21,882},{0,35,882},{29,0,890},{29,0,890},{29,0,890},{29,0,890},{47,1,5},{47,1,5},{47,1,5},{47,9,4},{26,37,4},
{26,37,4},{41,1,4427},{27,1,2227},{27,1,1443},{13,17,925},{11,1,4878},{45,1,1331},{15,1,21},{47,35,1178},{44,1,3438},{26,19,810},{23,1,1746},{9,1,557},{25,1,89},{11,17,142},{23,17,2814},{13,1,1125},{15,1,5},{24,19,765},{45,17,2814},{24,19,765},{27,1,1443},{27,1,1443},{27,1,1443},{13,33,884},{29,1,1132},{15,1,21},{15,1,21},{31,37,69},{10,1,648},{28,21,5},{25,1,89},
{25,1,89},{25,1,89},{41,19,1},{25,5,648},{45,17,2},{45,17,2},{28,21,1},{10,1,648},{28,21,1},{19,3,761},{7,1,274},{39,1,0},{31,1,0},{19,3,761},{39,1,761},{31,1,0},{0,19,765},{39,1,761},{0,19,765},{13,0,884},{13,0,884},{13,0,884},{13,0,884},{15,1,17},{15,1,17},{15,1,17},{31,23,4},{12,5,4},{12,5,4},{9,1,3933},{11,1,2185},{11,1,1509},
{27,1,899},{41,1,4346},{13,1,1109},{45,1,42},{15,19,813},{30,1,2958},{12,3,510},{7,1,1386},{23,1,483},{39,1,128},{25,17,59},{3,25,2249},{11,1,870},{13,1,4},{10,3,482},{29,1,2249},{10,3,482},{11,1,1509},{11,1,1509},{11,1,1509},{27,17,890},{43,1,1275},{45,1,42},{45,1,42},{45,21,86},{12,1,675},{44,5,10},{39,1,128},{39,1,128},{39,1,128},{9,3,5},{9,3,648},
{13,1,4},{13,1,4},{14,5,2},{31,3,648},{14,5,2},{3,3,481},{21,1,180},{7,1,1},{13,1,0},{3,3,481},{7,1,481},{13,1,0},{0,3,481},{7,1,481},{0,3,481},{27,0,890},{27,0,890},{27,0,890},{27,0,890},{45,1,26},{45,1,26},{45,1,26},{45,7,1},{44,35,2},{44,35,2},{39,1,3541},{9,1,2173},{25,1,1658},{11,1,893},{9,1,3801},{27,1,1035},{13,1,116},
{45,3,523},{47,1,2574},{44,33,282},{21,1,1070},{7,1,427},{23,1,194},{39,1,16},{21,17,1769},{25,1,673},{27,1,26},{12,33,265},{17,21,1769},{12,33,265},{25,1,1658},{25,1,1658},{25,1,1658},{11,1,893},{11,1,1386},{13,1,116},{13,1,116},{29,35,69},{14,1,734},{14,19,6},{23,1,194},{23,1,194},{23,1,194},{39,17,1},{23,3,648},{27,1,26},{27,1,26},{14,19,5},{43,3,648},
{14,19,5},{33,3,265},{35,1,89},{5,1,4},{25,1,0},{33,3,265},{21,1,265},{25,1,0},{0,33,265},{21,1,265},{0,33,265},{11,0,884},{11,0,884},{11,0,884},{11,0,884},{13,1,52},{13,1,52},{13,1,52},{29,21,4},{14,19,2},{14,19,2},{23,1,3267},{39,1,2157},{9,1,1764},{25,1,954},{39,1,3397},{11,1,950},{27,1,267},{13,33,297},{29,1,2313},{30,17,134},{5,1,838},
{21,1,413},{37,1,260},{7,1,9},{17,39,1374},{23,1,518},{25,1,80},{44,17,125},{39,17,1374},{44,17,125},{9,1,1764},{9,1,1764},{9,1,1764},{25,1,954},{25,1,1569},{27,1,267},{27,1,267},{13,19,77},{47,1,846},{46,3,5},{37,1,260},{37,1,260},{37,1,260},{7,1,9},{3,25,648},{25,1,80},{25,1,80},{47,3,1},{29,1,648},{47,3,1},{33,1,113},{19,1,37},{19,1,1},
{7,1,0},{33,1,113},{35,1,113},{7,1,0},{0,17,125},{35,1,113},{0,17,125},{25,0,890},{25,0,890},{25,0,890},{25,0,890},{27,1,98},{27,1,98},{27,1,98},{43,5,1},{46,3,4},{46,3,4},{7,1,3032},{7,1,2233},{23,1,1944},{39,1,1083},{7,1,3096},{9,1,1028},{41,1,506},{27,17,151},{13,1,2068},{47,17,31},{35,1,693},{5,1,425},{5,1,325},{21,1,52},{3,3,1032},
{7,1,406},{23,1,157},{31,17,26},{3,3,1032},{31,17,26},{23,1,1944},{23,1,1944},{23,1,1944},{39,1,1083},{39,1,1723},{41,1,506},{41,1,506},{27,33,78},{45,1,1034},{47,17,6},{5,1,325},{5,1,325},{5,1,325},{21,1,52},{19,5,648},{23,1,157},{23,1,157},{31,17,1},{37,3,648},{31,17,1},{17,1,18},{17,1,10},{33,1,1},{19,1,0},{17,1,18},{33,1,18},{19,1,0},
{0,17,26},{33,1,18},{0,17,26},{9,0,890},{9,0,890},{9,0,890},{9,0,890},{41,1,145},{41,1,145},{41,1,145},{27,19,4},{47,1,5},{47,1,5},{21,1,2710},{37,1,2207},{7,1,2004},{23,1,1173},{21,1,2775},{39,1,1036},{9,1,643},{41,1,81},{11,1,1900},{15,1,9},{3,1,524},{19,1,401},{19,1,365},{5,1,104},{33,33,771},{5,1,369},{37,1,221},{29,1,1},{33,33,771},
{29,1,1},{7,1,2004},{7,1,2004},{7,1,2004},{23,1,1173},{23,1,1784},{9,1,643},{9,1,643},{41,17,61},{13,1,1091},{15,1,9},{19,1,365},{19,1,365},{19,1,365},{5,1,104},{33,5,578},{37,1,221},{37,1,221},{29,1,1},{23,1,578},{29,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{23,0,884},
{23,0,884},{23,0,884},{23,0,884},{9,1,202},{9,1,202},{9,1,202},{41,3,1},{15,1,9},{15,1,9},{5,1,2214},{21,1,1813},{21,1,1669},{7,1,1109},{21,1,2151},{23,1,874},{23,1,585},{25,1,13},{25,1,1508},{13,1,34},{3,1,300},{3,1,225},{3,1,200},{19,1,61},{33,17,451},{35,1,192},{5,1,125},{11,1,0},{17,33,451},{11,1,0},{21,1,1669},{21,1,1669},{21,1,1669},
{7,1,1109},{7,1,1460},{23,1,585},{23,1,585},{25,1,13},{11,1,872},{13,1,34},{3,1,200},{3,1,200},{3,1,200},{19,1,61},{17,5,338},{5,1,125},{5,1,125},{11,1,0},{5,17,338},{11,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{7,0,884},{7,0,884},{7,0,884},{7,0,884},{39,1,250},
{39,1,250},{39,1,250},{25,17,4},{13,1,34},{13,1,34},{35,1,1818},{5,1,1521},{5,1,1421},{21,1,1028},{5,1,1675},{7,1,790},{7,1,565},{39,1,2},{23,1,1155},{11,1,100},{33,1,147},{33,1,107},{33,1,98},{3,1,29},{1,19,216},{19,1,88},{19,1,52},{23,1,1},{19,1,216},{23,1,1},{5,1,1421},{5,1,1421},{5,1,1421},{21,1,1028},{21,1,1158},{7,1,565},{7,1,565},
{39,1,2},{25,1,723},{11,1,100},{33,1,98},{33,1,98},{33,1,98},{3,1,29},{33,17,162},{19,1,52},{19,1,52},{23,1,1},{17,33,162},{23,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{21,0,884},{21,0,884},{21,0,884},{21,0,884},{7,1,340},{7,1,340},{7,1,340},{39,1,2},{11,1,100},
{11,1,100},{0,13,1568},{0,14,185},{0,10,5},{0,8,586},{0,44,3371},{0,24,2147},{0,8,1027},{0,36,2571},{0,6,3617},{0,20,2729},{0,13,1568},{0,14,185},{0,10,5},{0,8,586},{18,8,3371},{0,24,2147},{0,8,1027},{0,36,2571},{44,0,3371},{0,36,2571},{0,24,1},{0,24,1},{0,24,1},{0,20,1},{0,20,288},{0,34,100},{0,34,100},{0,2,164},{0,2,321},{0,2,189},{0,24,1},
{0,24,1},{0,24,1},{0,20,1},{32,2,288},{0,34,100},{0,34,100},{0,2,164},{20,0,288},{0,2,164},{24,2,1568},{0,14,185},{0,10,5},{0,8,586},{24,2,1568},{13,0,1568},{0,8,586},{0,22,1576},{13,0,1568},{0,22,1576},{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},{0,25,1568},{0,46,89},{0,26,20},
{0,40,505},{0,46,3968},{0,10,2316},{0,24,1078},{0,6,2880},{0,22,4305},{0,6,3105},{0,25,1568},{0,46,89},{0,26,20},{0,40,505},{18,10,3968},{0,10,2316},{0,24,1078},{0,6,2880},{46,0,3968},{0,6,2880},{0,12,1},{0,12,1},{0,12,1},{0,6,0},{0,6,514},{0,20,193},{0,20,193},{0,18,317},{0,18,556},{0,18,353},{0,12,1},{0,12,1},{0,12,1},{0,6,0},{2,2,512},
{0,20,193},{0,20,193},{0,18,317},{2,2,512},{0,18,317},{16,11,1568},{0,46,89},{16,26,5},{0,40,505},{16,11,1568},{25,0,1568},{0,40,505},{0,38,1570},{25,0,1568},{0,38,1570},{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},{0,7,1568},{0,15,37},{16,12,76},{0,10,421},{0,15,4652},{0,42,2540},{0,10,1097},
{0,38,3251},{0,8,5108},{0,22,3545},{0,7,1568},{0,15,37},{16,12,51},{0,10,421},{38,2,4651},{0,42,2540},{0,10,1097},{0,38,3251},{16,8,4651},{0,38,3251},{0,46,0},{0,46,0},{0,46,0},{0,38,1},{0,8,802},{0,6,289},{0,6,289},{0,34,493},{0,34,872},{0,34,557},{0,46,0},{0,46,0},{0,46,0},{0,38,1},{4,0,802},{0,6,289},{0,6,289},{0,34,493},{8,0,802},
{0,34,493},{26,4,1568},{0,15,37},{32,12,2},{0,10,421},{26,4,1568},{7,0,1568},{0,10,421},{0,24,1576},{7,0,1568},{0,24,1576},{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},{0,19,1570},{0,29,8},{16,44,166},{0,12,338},{0,29,5420},{0,28,2755},{0,26,1208},{0,8,3659},{0,24,5988},{0,38,4028},{0,19,1570},
{0,29,8},{16,44,141},{0,12,338},{40,0,5419},{0,28,2755},{0,26,1208},{0,8,3659},{46,2,5419},{0,8,3659},{0,45,0},{0,45,0},{0,45,0},{0,24,1},{0,24,1154},{0,22,433},{0,22,433},{0,4,697},{0,4,1270},{0,4,797},{0,45,0},{0,45,0},{0,45,0},{0,24,1},{18,4,1152},{0,22,433},{0,22,433},{0,4,697},{36,2,1152},{0,4,697},{14,0,1568},{0,29,8},{18,28,1},
{0,12,338},{14,0,1568},{8,10,1568},{0,12,338},{0,40,1568},{8,10,1568},{0,40,1568},{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},{16,17,1609},{16,43,45},{32,30,282},{0,28,325},{0,25,5419},{0,14,2514},{0,12,804},{0,24,3462},{0,10,6191},{0,8,3965},{32,3,1574},{32,13,17},{2,14,130},{16,28,312},{16,11,5419},
{0,14,2514},{0,12,804},{0,24,3462},{25,0,5419},{0,24,3462},{16,43,41},{16,43,41},{16,43,41},{16,10,42},{0,28,1152},{0,40,292},{0,40,292},{0,36,596},{0,6,1379},{0,20,761},{32,29,4},{32,29,4},{32,29,4},{32,10,5},{2,24,1152},{0,40,292},{0,40,292},{0,36,596},{28,0,1152},{0,36,596},{30,2,1568},{0,27,4},{4,14,1},{0,28,244},{30,2,1568},{35,2,1568},{0,28,244},
{0,26,1570},{35,2,1568},{0,26,1570},{16,0,41},{16,0,41},{16,0,41},{16,0,41},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,32,13},{0,32,13},{32,1,1733},{32,11,159},{32,46,455},{16,14,377},{0,7,5419},{0,47,2294},{0,44,542},{0,10,3225},{0,12,6401},{0,10,3901},{2,17,1569},{2,27,6},{18,46,125},{32,14,296},{26,4,5419},{0,47,2294},{0,44,542},{0,10,3225},{7,0,5419},
{0,10,3225},{32,11,158},{32,11,158},{32,11,158},{32,42,157},{0,46,1154},{0,26,170},{0,26,170},{0,22,482},{0,22,1491},{0,6,739},{2,27,2},{2,27,2},{2,27,2},{2,26,5},{22,2,1152},{0,26,170},{0,26,170},{0,22,482},{42,2,1152},{0,22,482},{47,2,1568},{32,11,2},{20,30,5},{0,14,185},{47,2,1568},{17,2,1568},{0,14,185},{0,42,1570},{17,2,1568},{0,42,1570},{32,0,157},
{32,0,157},{32,0,157},{32,0,157},{0,22,0},{0,22,0},{0,22,0},{0,34,1},{0,18,45},{0,18,45},{2,1,2003},{32,9,330},{2,31,710},{32,30,517},{0,35,5420},{0,15,2081},{0,30,345},{0,42,3099},{0,28,6641},{0,10,3885},{34,1,1574},{34,11,17},{4,47,134},{18,30,312},{14,0,5419},{0,15,2081},{0,30,345},{0,42,3099},{8,10,5419},{0,42,3099},{32,23,317},{32,23,317},{32,23,317},
{32,28,317},{0,29,1154},{0,28,80},{0,28,80},{0,8,388},{0,8,1665},{0,38,753},{34,27,4},{34,27,4},{34,27,4},{34,12,5},{8,2,1152},{0,28,80},{0,28,80},{0,8,388},{30,2,1152},{0,8,388},{15,2,1568},{18,41,4},{36,47,5},{0,46,125},{15,2,1568},{33,4,1568},{0,46,125},{0,28,1576},{33,4,1568},{0,28,1576},{32,0,317},{32,0,317},{32,0,317},{32,0,317},{0,40,0},
{0,40,0},{0,40,0},{0,20,0},{0,34,113},{0,34,113},{18,1,2395},{2,23,570},{18,45,1046},{2,47,725},{0,1,5419},{0,13,1947},{0,47,185},{0,12,2880},{0,14,6964},{0,12,3841},{20,1,1593},{4,25,6},{20,15,131},{34,46,326},{0,1,5419},{0,13,1947},{0,47,185},{0,12,2880},{1,0,5419},{0,12,2880},{2,21,546},{2,21,546},{2,21,546},{2,14,545},{0,11,1152},{0,30,37},{0,30,37},
{0,24,317},{0,10,1846},{0,8,797},{4,25,2},{4,25,2},{4,25,2},{4,28,2},{24,4,1152},{0,30,37},{0,30,37},{0,24,317},{11,0,1152},{0,24,317},{43,0,1568},{34,9,1},{22,31,1},{0,47,85},{43,0,1568},{19,6,1568},{0,47,85},{0,44,1570},{19,6,1568},{0,44,1570},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,28,0},{0,28,0},{0,28,0},{0,6,1},{0,20,208},
{0,20,208},{4,1,3030},{18,37,927},{34,29,1474},{18,15,1042},{16,1,5540},{0,27,1787},{0,15,57},{0,44,2668},{0,46,7299},{0,28,3836},{6,1,1612},{36,39,10},{6,29,136},{20,31,312},{47,2,5419},{0,27,1787},{0,15,57},{0,44,2668},{17,2,5419},{0,44,2668},{18,19,883},{18,19,883},{18,19,883},{18,46,882},{0,23,1152},{0,31,5},{0,31,5},{0,10,225},{0,26,2064},{0,10,901},{36,9,2},
{36,9,2},{36,9,2},{36,14,1},{38,10,1152},{0,31,5},{0,31,5},{0,10,225},{23,0,1152},{0,10,225},{38,3,1568},{20,39,4},{8,45,5},{0,15,41},{38,3,1568},{35,8,1568},{0,15,41},{0,30,1570},{35,8,1568},{0,30,1570},{18,0,882},{18,0,882},{18,0,882},{18,0,882},{0,47,1},{0,47,1},{0,47,1},{0,8,1},{0,6,325},{0,6,325},{20,1,3734},{34,5,1332},{4,43,1958},
{18,45,1395},{2,1,5808},{0,25,1676},{0,29,20},{0,30,2566},{0,15,7631},{0,44,3925},{22,1,1656},{6,7,9},{22,13,132},{6,45,309},{15,2,5419},{0,25,1676},{0,29,20},{0,30,2566},{33,4,5419},{0,30,2566},{34,33,1258},{34,33,1258},{34,33,1258},{34,47,1259},{0,5,1154},{0,45,5},{0,45,5},{0,42,180},{0,12,2275},{0,10,981},{6,23,4},{6,23,4},{6,23,4},{6,46,5},{28,2,1152},
{16,15,1},{16,15,1},{0,42,180},{42,8,1152},{0,42,180},{41,2,1568},{36,7,2},{24,29,5},{0,29,20},{41,2,1568},{17,8,1568},{0,29,20},{0,46,1576},{17,8,1568},{0,46,1576},{34,0,1258},{34,0,1258},{34,0,1258},{34,0,1258},{0,29,0},{0,29,0},{0,29,0},{0,40,1},{0,38,482},{0,38,482},{36,1,4356},{4,19,1676},{20,27,2370},{34,13,1683},{18,1,6121},{0,39,1616},{16,43,36},
{0,46,2397},{0,45,7815},{0,46,3837},{8,1,1715},{38,37,10},{8,43,131},{22,29,312},{43,0,5419},{0,39,1612},{16,43,27},{0,46,2393},{19,6,5419},{0,46,2393},{4,1,1577},{4,1,1577},{4,1,1577},{4,15,1576},{0,17,1156},{16,13,22},{16,13,22},{0,12,134},{0,44,2441},{0,12,971},{38,23,1},{38,23,1},{38,23,1},{38,47,2},{16,3,1152},{32,29,1},{32,29,1},{0,12,130},{17,0,1152},
{0,12,130},{29,12,1568},{22,37,4},{10,43,5},{0,43,10},{29,12,1568},{26,13,1568},{0,43,10},{0,31,1576},{26,13,1568},{0,31,1576},{4,0,1576},{4,0,1576},{4,0,1576},{4,0,1576},{0,41,4},{0,41,4},{0,41,4},{0,26,4},{0,24,562},{0,24,562},{22,1,4616},{20,3,1677},{6,41,2378},{20,43,1681},{4,1,6311},{16,7,1620},{32,27,20},{0,31,2365},{0,43,7444},{0,47,3383},{40,1,1766},
{8,5,11},{24,11,132},{8,13,314},{11,0,5419},{0,37,1577},{32,27,19},{0,31,2265},{5,8,5419},{0,31,2265},{20,1,1593},{20,1,1593},{20,1,1593},{20,29,1569},{32,1,1155},{32,27,19},{32,27,19},{16,44,125},{0,46,2150},{0,28,659},{8,21,2},{8,21,2},{8,21,2},{8,31,2},{30,4,1152},{18,13,1},{18,13,1},{0,44,72},{15,8,1152},{0,44,72},{37,0,1568},{38,5,2},{26,27,2},
{0,27,2},{37,0,1568},{36,9,1568},{0,27,2},{0,15,1568},{36,9,1568},{0,15,1568},{20,0,1568},{20,0,1568},{20,0,1568},{20,0,1568},{32,41,1},{32,41,1},{32,41,1},{32,42,2},{0,26,388},{0,26,388},{8,1,4936},{6,17,1676},{22,9,2363},{36,11,1689},{36,1,6476},{2,37,1620},{18,41,24},{32,15,2370},{0,41,7036},{0,15,2859},{26,1,1851},{40,35,11},{10,25,136},{24,27,321},{41,2,5419},
{16,5,1571},{18,41,20},{0,15,2130},{17,8,5419},{0,15,2130},{6,1,1619},{6,1,1619},{6,1,1619},{6,13,1571},{18,1,1158},{18,11,21},{18,11,21},{2,30,125},{0,31,1905},{0,14,425},{40,5,2},{40,5,2},{40,5,2},{40,45,2},{45,0,1152},{4,27,5},{4,27,5},{0,30,41},{27,8,1152},{0,30,41},{21,2,1568},{24,19,2},{12,41,1},{16,41,1},{21,2,1568},{24,9,1568},{16,41,1},
{0,29,1570},{24,9,1568},{0,29,1570},{6,0,1570},{6,0,1570},{6,0,1570},{6,0,1570},{18,25,4},{18,25,4},{18,25,4},{18,28,5},{0,28,232},{0,28,232},{24,1,5154},{38,1,1680},{8,39,2378},{22,41,1683},{22,1,6708},{18,5,1628},{34,25,24},{2,29,2363},{0,9,6740},{0,45,2553},{12,1,1964},{10,3,8},{26,9,139},{40,41,309},{29,12,5419},{2,35,1572},{4,25,21},{0,29,2027},{26,13,5419},
{0,29,2027},{38,1,1664},{38,1,1664},{38,1,1664},{22,27,1570},{4,1,1185},{34,25,20},{34,25,20},{34,46,130},{0,45,1721},{0,46,218},{10,19,4},{10,19,4},{10,19,4},{10,13,8},{29,2,1152},{20,11,5},{20,11,5},{0,47,25},{35,6,1152},{0,47,25},{35,2,1568},{10,3,4},{28,25,5},{18,25,4},{35,2,1568},{34,5,1568},{18,25,4},{0,13,1570},{34,5,1568},{0,13,1570},{22,0,1570},
{22,0,1570},{22,0,1570},{22,0,1570},{34,23,1},{34,23,1},{34,23,1},{34,14,4},{0,14,149},{0,14,149},{26,1,5444},{8,1,1724},{24,23,2378},{38,9,1689},{8,1,6964},{4,35,1620},{20,39,36},{34,13,2370},{0,23,6513},{0,13,2244},{44,1,2099},{42,33,11},{12,23,136},{26,25,321},{37,0,5419},{18,3,1571},{20,39,27},{0,43,1924},{36,9,5419},{0,43,1924},{8,1,1720},{8,1,1720},{8,1,1720},
{8,11,1577},{36,1,1224},{20,9,19},{20,9,19},{4,47,122},{0,43,1548},{0,31,90},{42,19,1},{42,19,1},{42,19,1},{42,43,2},{43,2,1152},{6,25,5},{6,25,5},{0,31,9},{21,8,1152},{0,31,9},{46,1,1568},{26,17,2},{14,39,2},{18,39,1},{46,1,1568},{26,7,1568},{18,39,1},{0,27,1576},{26,7,1568},{0,27,1576},{8,0,1576},{8,0,1576},{8,0,1576},{8,0,1576},{20,23,9},
{20,23,9},{20,23,9},{4,30,10},{0,47,73},{0,47,73},{42,1,5700},{40,1,1798},{40,37,2375},{24,39,1683},{40,1,7153},{20,3,1626},{36,23,24},{4,27,2386},{0,21,6243},{0,27,1980},{30,1,2210},{12,1,8},{28,7,132},{42,39,323},{5,0,5419},{4,33,1572},{6,23,21},{0,27,1836},{0,5,5419},{0,27,1836},{40,1,1762},{40,1,1762},{40,1,1762},{24,25,1570},{6,1,1275},{36,23,20},{36,23,20},
{36,15,125},{0,41,1395},{0,45,25},{12,17,4},{12,17,4},{12,17,4},{12,11,8},{38,1,1152},{22,9,4},{22,9,4},{0,45,0},{43,28,1152},{0,45,0},{31,1,1568},{42,1,2},{30,23,5},{4,23,5},{31,1,1568},{32,1,1568},{4,23,5},{0,11,1570},{32,1,1568},{0,11,1570},{24,0,1570},{24,0,1570},{24,0,1570},{24,0,1570},{36,21,1},{36,21,1},{36,21,1},{36,46,4},{0,15,25},
{0,15,25},{28,1,6116},{26,1,1980},{26,5,2386},{40,7,1689},{26,1,7408},{6,17,1620},{22,37,24},{36,41,2375},{0,35,6044},{0,41,1798},{47,1,2385},{44,1,25},{14,37,125},{28,23,315},{35,2,5419},{20,1,1569},{22,37,20},{0,41,1762},{34,5,5419},{0,41,1762},{26,1,1836},{26,1,1836},{26,1,1836},{10,9,1574},{38,1,1363},{22,7,21},{22,7,21},{6,29,132},{0,9,1284},{0,13,8},{44,1,0},
{44,1,0},{44,1,0},{44,41,0},{39,0,1152},{8,23,4},{8,23,4},{16,13,4},{9,28,1152},{16,13,4},{17,6,1568},{14,1,25},{47,37,4},{20,37,1},{17,6,1568},{20,1,1568},{20,37,1},{0,25,1570},{20,1,1568},{0,25,1570},{10,0,1570},{10,0,1570},{10,0,1570},{10,0,1570},{22,5,5},{22,5,5},{22,5,5},{22,31,5},{0,43,2},{0,43,2},{14,1,6434},{12,1,2244},{12,35,2370},
{26,21,1685},{12,1,7724},{38,1,1620},{38,21,36},{22,25,2378},{0,3,5839},{0,9,1724},{31,1,2546},{30,1,90},{46,5,122},{14,7,322},{46,1,5419},{22,1,1602},{8,21,19},{0,9,1720},{26,7,5419},{0,9,1720},{42,1,1924},{42,1,1924},{42,1,1924},{26,23,1577},{24,1,1414},{38,21,27},{38,21,27},{22,13,136},{0,7,1218},{32,43,11},{30,1,9},{30,1,9},{30,1,9},{14,9,10},{23,2,1152},
{24,7,5},{24,7,5},{18,43,1},{20,9,1152},{18,43,1},{27,3,1568},{46,1,73},{31,5,10},{36,5,9},{27,3,1568},{39,9,1568},{36,5,9},{0,9,1576},{39,9,1568},{0,9,1576},{26,0,1576},{26,0,1576},{26,0,1576},{26,0,1576},{38,19,1},{38,19,1},{38,19,1},{38,15,2},{16,27,2},{16,27,2},{30,1,6786},{44,1,2553},{28,3,2363},{42,5,1689},{28,1,8052},{24,1,1671},{24,35,24},
{38,9,2378},{0,1,5715},{0,39,1680},{45,1,2675},{47,1,218},{47,35,130},{30,21,315},{31,1,5419},{24,1,1667},{24,35,20},{0,39,1664},{32,1,5419},{0,39,1664},{28,1,2027},{28,1,2027},{28,1,2027},{12,7,1571},{10,1,1521},{24,5,21},{24,5,21},{8,27,139},{0,21,1169},{2,11,8},{46,1,25},{46,1,25},{46,1,25},{46,39,1},{37,2,1152},{10,21,5},{10,21,5},{18,11,4},{34,7,1152},
{18,11,4},{39,7,1568},{15,1,149},{15,35,4},{22,35,1},{39,7,1568},{26,1,1568},{22,35,1},{0,23,1570},{26,1,1568},{0,23,1570},{12,0,1570},{12,0,1570},{12,0,1570},{12,0,1570},{24,19,4},{24,19,4},{24,19,4},{24,29,5},{2,11,4},{2,11,4},{47,1,7186},{14,1,2859},{14,33,2370},{28,35,1683},{30,1,8313},{40,1,1819},{40,19,24},{8,23,2363},{16,1,5820},{16,7,1676},{13,1,2892},
{15,1,425},{31,3,125},{47,35,321},{45,1,5419},{26,1,1796},{10,19,21},{0,7,1619},{27,9,5419},{0,7,1619},{14,1,2130},{14,1,2130},{14,1,2130},{28,21,1570},{42,1,1608},{40,19,20},{40,19,20},{24,11,136},{0,19,1155},{34,41,11},{31,1,41},{31,1,41},{31,1,41},{47,7,5},{44,1,1152},{26,5,5},{26,5,5},{4,41,2},{26,9,1152},{4,41,2},{25,1,1568},{29,1,232},{29,19,5},
{24,19,4},{25,1,1568},{33,9,1568},{24,19,4},{0,7,1570},{33,9,1568},{0,7,1570},{28,0,1570},{28,0,1570},{28,0,1570},{28,0,1570},{40,17,1},{40,17,1},{40,17,1},{40,13,1},{18,25,2},{18,25,2},{15,1,7706},{46,1,3383},{30,1,2365},{14,3,1685},{47,1,8695},{42,1,2092},{26,33,20},{40,7,2378},{4,1,6099},{2,21,1677},{27,1,3152},{29,1,659},{45,17,125},{31,19,315},{27,3,5419},
{44,1,1993},{26,33,19},{0,21,1593},{39,9,5419},{0,21,1593},{30,1,2265},{30,1,2265},{30,1,2265},{14,5,1572},{28,1,1764},{26,33,19},{26,33,19},{10,25,132},{32,3,1155},{4,9,11},{45,1,72},{45,1,72},{45,1,72},{15,37,1},{31,5,1152},{12,19,1},{12,19,1},{20,9,2},{14,9,1152},{20,9,2},{23,17,1568},{27,1,388},{43,33,2},{40,33,1},{23,17,1568},{45,17,1568},{40,33,1},
{0,21,1568},{45,17,1568},{0,21,1568},{14,0,1568},{14,0,1568},{14,0,1568},{14,0,1568},{26,1,2},{26,1,2},{26,1,2},{26,27,2},{4,39,2},{4,39,2},{45,1,8016},{47,1,3837},{47,1,2397},{30,17,1685},{31,1,9093},{28,1,2484},{42,17,36},{26,21,2370},{36,1,6379},{18,5,1676},{11,1,3345},{13,1,971},{13,1,134},{15,33,326},{39,7,5419},{30,1,2185},{12,17,22},{0,5,1577},{26,1,5419},
{0,5,1577},{47,1,2393},{47,1,2393},{47,1,2393},{30,19,1576},{14,1,1890},{42,17,27},{42,17,27},{42,9,131},{2,17,1152},{36,39,10},{13,1,130},{13,1,130},{13,1,130},{45,5,5},{17,2,1152},{28,33,1},{28,33,1},{22,39,1},{16,1,1152},{22,39,1},{21,3,1568},{25,1,562},{27,1,4},{40,1,4},{21,3,1568},{43,1,1568},{40,1,4},{0,5,1576},{43,1,1568},{0,5,1576},{30,0,1576},
{30,0,1576},{30,0,1576},{30,0,1576},{42,1,10},{42,1,10},{42,1,10},{42,11,5},{36,23,4},{36,23,4},{13,1,7700},{45,1,3925},{31,1,2566},{47,17,1637},{45,1,8460},{14,1,2285},{28,1,20},{42,5,1958},{38,1,5932},{4,35,1332},{9,1,2987},{11,1,981},{43,1,180},{29,17,219},{9,3,4803},{47,1,1925},{44,1,5},{32,35,1258},{31,3,4803},{32,35,1258},{31,1,2566},{31,1,2566},{31,1,2566},
{47,3,1577},{30,1,2054},{28,1,20},{28,1,20},{12,23,132},{34,1,1155},{6,7,9},{43,1,180},{43,1,180},{43,1,180},{13,35,1},{29,3,1152},{14,17,1},{14,17,1},{22,7,4},{43,9,1152},{22,7,4},{21,1,1250},{39,1,482},{41,1,1},{28,1,0},{21,1,1250},{41,1,1250},{28,1,0},{0,35,1258},{41,1,1250},{0,35,1258},{47,0,1576},{47,0,1576},{47,0,1576},{47,0,1576},{28,1,20},
{28,1,20},{28,1,20},{28,25,5},{6,37,2},{6,37,2},{43,1,7164},{29,1,3836},{45,1,2668},{31,1,1579},{13,1,7780},{30,1,2041},{14,1,57},{28,35,1474},{24,1,5308},{36,19,927},{9,1,2475},{11,1,901},{11,1,225},{43,17,110},{37,7,4056},{15,1,1590},{30,1,5},{18,19,883},{30,1,4056},{18,19,883},{45,1,2668},{45,1,2668},{45,1,2668},{31,17,1570},{47,1,2214},{14,1,57},{14,1,57},
{28,7,136},{36,1,1186},{38,37,10},{11,1,225},{11,1,225},{11,1,225},{43,3,5},{39,11,1152},{30,1,5},{30,1,5},{8,37,2},{22,1,1152},{8,37,2},{5,1,882},{7,1,325},{9,1,1},{46,1,1},{5,1,882},{9,1,882},{46,1,1},{0,19,882},{9,1,882},{0,19,882},{31,0,1570},{31,0,1570},{31,0,1570},{31,0,1570},{14,1,41},{14,1,41},{14,1,41},{44,9,5},{38,21,4},
{38,21,4},{11,1,6493},{13,1,3841},{13,1,2880},{45,1,1574},{43,1,7071},{47,1,1822},{46,1,185},{44,19,1046},{26,1,4761},{22,3,570},{23,1,2034},{9,1,797},{25,1,317},{11,17,34},{23,17,3318},{13,1,1221},{31,1,37},{20,3,546},{45,17,3318},{20,3,546},{13,1,2880},{13,1,2880},{13,1,2880},{45,1,1574},{45,1,2443},{46,1,185},{46,1,185},{14,21,131},{38,1,1275},{24,5,6},{25,1,317},
{25,1,317},{25,1,317},{11,33,1},{25,5,1152},{31,1,37},{31,1,37},{24,5,2},{10,1,1152},{24,5,2},{3,3,545},{21,1,208},{7,1,1},{29,1,0},{3,3,545},{23,1,545},{29,1,0},{0,3,545},{23,1,545},{0,3,545},{45,0,1570},{45,0,1570},{45,0,1570},{45,0,1570},{46,1,85},{46,1,85},{46,1,85},{30,23,1},{8,35,1},{8,35,1},{41,1,6095},{11,1,3885},{43,1,3099},
{13,1,1636},{11,1,6422},{45,1,1767},{31,1,345},{30,3,710},{44,1,4358},{8,33,330},{7,1,1698},{39,1,753},{9,1,388},{41,1,9},{3,25,2753},{27,1,1018},{29,1,80},{22,33,317},{29,1,2753},{22,33,317},{43,1,3099},{43,1,3099},{43,1,3099},{13,1,1636},{29,1,2628},{31,1,345},{31,1,345},{46,5,134},{40,1,1395},{10,35,17},{9,1,388},{9,1,388},{9,1,388},{41,1,9},{9,3,1152},
{29,1,80},{29,1,80},{26,35,4},{31,3,1152},{26,35,4},{33,3,313},{35,1,113},{21,1,0},{41,1,0},{33,3,313},{21,1,313},{41,1,0},{0,33,317},{21,1,313},{0,33,317},{29,0,1576},{29,0,1576},{29,0,1576},{29,0,1576},{47,1,125},{47,1,125},{47,1,125},{46,37,5},{40,19,4},{40,19,4},{9,1,5661},{11,1,3901},{11,1,3225},{43,1,1739},{41,1,5978},{29,1,1685},{45,1,542},
{47,33,455},{14,1,3994},{10,33,159},{21,1,1418},{7,1,739},{23,1,482},{9,1,16},{21,17,2273},{11,1,878},{27,1,170},{10,33,158},{17,21,2273},{10,33,158},{11,1,3225},{11,1,3225},{11,1,3225},{43,1,1739},{43,1,2875},{45,1,542},{45,1,542},{47,19,125},{42,1,1584},{26,3,6},{23,1,482},{23,1,482},{23,1,482},{9,1,16},{23,3,1152},{27,1,170},{27,1,170},{26,3,2},{43,3,1152},
{26,3,2},{17,3,145},{19,1,45},{35,1,1},{23,1,0},{17,3,145},{35,1,145},{23,1,0},{0,33,157},{35,1,145},{0,33,157},{43,0,1570},{43,0,1570},{43,0,1570},{43,0,1570},{15,1,185},{15,1,185},{15,1,185},{31,21,5},{10,33,2},{10,33,2},{39,1,5341},{9,1,3965},{25,1,3462},{11,1,1889},{9,1,5505},{13,1,1765},{13,1,804},{31,33,282},{47,1,3750},{42,17,45},{5,1,1210},
{21,1,761},{37,1,596},{23,1,73},{17,39,1878},{9,1,781},{41,1,292},{42,17,41},{39,17,1878},{42,17,41},{25,1,3462},{25,1,3462},{25,1,3462},{11,1,1889},{11,1,3058},{13,1,804},{13,1,804},{15,3,130},{44,1,1798},{12,33,17},{37,1,596},{37,1,596},{37,1,596},{23,1,73},{3,25,1152},{41,1,292},{41,1,292},{28,33,4},{29,1,1152},{28,33,4},{1,3,41},{33,1,13},{3,1,1},
{5,1,1},{1,3,41},{3,1,41},{5,1,1},{0,17,41},{3,1,41},{0,17,41},{27,0,1570},{27,0,1570},{27,0,1570},{27,0,1570},{29,1,244},{29,1,244},{29,1,244},{15,5,1},{26,1,4},{26,1,4},{23,1,5128},{39,1,4028},{9,1,3659},{25,1,2169},{39,1,5148},{11,1,1917},{27,1,1208},{45,17,166},{29,1,3628},{28,1,8},{35,1,1089},{5,1,797},{5,1,697},{37,1,221},{3,3,1536},
{7,1,706},{23,1,433},{44,1,0},{3,3,1536},{44,1,0},{9,1,3659},{9,1,3659},{9,1,3659},{25,1,2169},{25,1,3366},{27,1,1208},{27,1,1208},{45,17,141},{47,1,2105},{28,1,8},{5,1,697},{5,1,697},{5,1,697},{37,1,221},{19,5,1152},{23,1,433},{23,1,433},{44,1,0},{37,3,1152},{44,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},
{0,1,0},{1,1,0},{0,1,0},{41,0,1568},{41,0,1568},{41,0,1568},{41,0,1568},{13,1,338},{13,1,338},{13,1,338},{29,19,1},{28,1,8},{28,1,8},{7,1,4416},{23,1,3545},{39,1,3251},{9,1,2027},{23,1,4372},{41,1,1771},{11,1,1097},{13,17,76},{29,1,2956},{14,1,37},{19,1,753},{35,1,557},{35,1,493},{21,1,148},{17,5,1067},{21,1,513},{7,1,289},{47,1,0},{5,17,1067},
{47,1,0},{39,1,3251},{39,1,3251},{39,1,3251},{9,1,2027},{9,1,2819},{11,1,1097},{11,1,1097},{13,17,51},{47,1,1769},{14,1,37},{35,1,493},{35,1,493},{35,1,493},{21,1,148},{5,1,802},{7,1,289},{7,1,289},{47,1,0},{9,1,802},{47,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{25,0,1576},
{25,0,1576},{25,0,1576},{25,0,1576},{11,1,421},{11,1,421},{11,1,421},{13,33,2},{14,1,37},{14,1,37},{21,1,3786},{7,1,3105},{7,1,2880},{23,1,1929},{7,1,3648},{9,1,1532},{25,1,1078},{27,1,20},{13,1,2452},{47,1,89},{3,1,456},{19,1,353},{19,1,317},{35,1,89},{33,33,683},{5,1,321},{21,1,193},{13,1,1},{33,33,683},{13,1,1},{7,1,2880},{7,1,2880},{7,1,2880},
{23,1,1929},{39,1,2411},{25,1,1078},{25,1,1078},{27,1,20},{29,1,1451},{47,1,89},{19,1,317},{19,1,317},{19,1,317},{35,1,89},{3,3,512},{21,1,193},{21,1,193},{13,1,1},{3,3,512},{13,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{39,0,1570},{39,0,1570},{39,0,1570},{39,0,1570},{41,1,505},
{41,1,505},{41,1,505},{27,17,5},{47,1,89},{47,1,89},{21,1,3210},{21,1,2729},{37,1,2571},{7,1,1825},{21,1,3015},{39,1,1388},{9,1,1027},{11,1,5},{11,1,2032},{15,1,185},{3,1,264},{3,1,189},{3,1,164},{19,1,45},{17,3,384},{35,1,164},{35,1,100},{25,1,1},{35,1,384},{25,1,1},{37,1,2571},{37,1,2571},{37,1,2571},{7,1,1825},{7,1,2112},{9,1,1027},{9,1,1027},
{11,1,5},{13,1,1235},{15,1,185},{3,1,164},{3,1,164},{3,1,164},{19,1,45},{33,3,288},{35,1,100},{35,1,100},{25,1,1},{21,1,288},{25,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{23,0,1576},{23,0,1576},{23,0,1576},{23,0,1576},{9,1,586},{9,1,586},{9,1,586},{11,1,5},{15,1,185},
{15,1,185},{0,37,2665},{0,45,274},{0,44,8},{0,26,1025},{0,15,5885},{0,12,3666},{0,10,1742},{0,38,4406},{0,8,6359},{0,22,4730},{0,37,2665},{0,45,274},{0,44,8},{0,26,1025},{22,4,5885},{0,12,3666},{0,10,1742},{0,38,4406},{15,0,5885},{0,38,4406},{0,28,0},{0,28,0},{0,28,0},{0,6,1},{0,22,545},{0,20,208},{0,20,208},{0,18,340},{0,18,593},{0,18,376},{0,28,0},
{0,28,0},{0,28,0},{0,6,1},{2,2,545},{0,20,208},{0,20,208},{0,18,340},{22,0,545},{0,18,340},{28,0,2665},{0,45,274},{0,44,8},{0,26,1025},{28,0,2665},{37,0,2665},{0,26,1025},{0,24,2665},{37,0,2665},{0,24,2665},{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},{0,3,2665},{0,43,169},{0,14,17},
{0,12,865},{0,13,6669},{0,28,3898},{0,42,1825},{0,8,4826},{0,24,7263},{0,38,5231},{0,3,2665},{0,43,169},{0,14,17},{0,12,865},{24,2,6669},{0,28,3898},{0,42,1825},{0,8,4826},{13,0,6669},{0,8,4826},{0,46,1},{0,46,1},{0,46,1},{0,8,4},{0,8,841},{0,6,306},{0,6,306},{0,34,520},{0,34,917},{0,34,584},{0,46,1},{0,46,1},{0,46,1},{0,8,4},{4,0,841},
{0,6,306},{0,6,306},{0,34,520},{8,0,841},{0,34,520},{44,2,2665},{0,43,169},{16,14,2},{0,12,865},{44,2,2665},{3,0,2665},{0,12,865},{0,40,2669},{3,0,2665},{0,40,2669},{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},{0,1,2669},{0,41,85},{16,46,79},{0,44,725},{0,11,7538},{0,14,4214},{0,12,1842},
{0,8,5354},{0,10,8241},{0,8,5795},{0,1,2669},{0,41,85},{16,46,54},{0,44,725},{24,4,7538},{0,14,4214},{0,12,1842},{0,8,5354},{11,0,7538},{0,8,5354},{0,29,1},{0,29,1},{0,29,1},{0,24,4},{0,40,1201},{0,22,458},{0,22,458},{0,4,730},{0,4,1325},{0,4,830},{0,29,1},{0,29,1},{0,29,1},{0,24,4},{20,0,1201},{0,22,458},{0,22,458},{0,4,730},{40,0,1201},
{0,4,730},{30,2,2665},{0,41,85},{32,46,5},{0,44,725},{30,2,2665},{35,2,2665},{0,44,725},{0,26,2665},{35,2,2665},{0,26,2665},{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},{16,1,2799},{0,9,29},{16,31,167},{0,14,650},{0,9,8493},{0,46,4485},{0,44,1934},{0,40,5878},{0,26,9333},{0,40,6503},{16,1,2774},
{0,9,29},{16,31,142},{0,14,650},{42,0,8493},{0,46,4485},{0,44,1934},{0,40,5878},{9,0,8493},{0,40,5878},{0,11,0},{0,11,0},{0,11,0},{0,26,1},{0,26,1625},{0,24,629},{0,24,629},{0,20,986},{0,20,1793},{0,20,1130},{0,11,0},{0,11,0},{0,11,0},{0,26,1},{36,0,1625},{0,24,629},{0,24,629},{0,20,986},{26,0,1625},{0,20,986},{2,1,2665},{0,9,29},{18,47,1},
{0,14,650},{2,1,2665},{1,2,2665},{0,14,650},{0,42,2669},{1,2,2665},{0,42,2669},{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},{32,1,3171},{0,7,4},{16,15,315},{0,46,514},{0,7,9669},{0,31,4865},{0,46,2114},{0,10,6505},{0,12,10663},{0,10,7181},{32,1,3050},{0,7,4},{32,15,274},{0,46,514},{26,4,9669},
{0,31,4865},{0,46,2114},{0,10,6505},{7,0,9669},{0,10,6505},{0,23,0},{0,23,0},{0,23,0},{0,12,1},{0,28,2178},{0,10,820},{0,10,820},{0,6,1348},{0,6,2405},{0,20,1553},{0,23,0},{0,23,0},{0,23,0},{0,12,1},{2,24,2178},{0,10,820},{0,10,820},{0,6,1348},{28,0,2178},{0,6,1348},{29,0,2665},{0,7,4},{4,31,9},{0,46,514},{29,0,2665},{17,4,2665},{0,46,514},
{0,28,2665},{17,4,2665},{0,28,2665},{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},{2,1,3529},{16,21,35},{32,29,444},{0,31,474},{0,19,9670},{0,45,4529},{0,46,1634},{0,42,6265},{0,28,10919},{0,26,7149},{18,1,3146},{16,21,10},{2,29,285},{0,31,474},{14,0,9669},{0,45,4529},{0,46,1634},{0,42,6265},{8,10,9669},
{0,42,6265},{16,21,34},{16,21,34},{16,21,34},{16,44,34},{0,46,2180},{0,12,610},{0,12,610},{0,22,1184},{0,22,2517},{0,22,1473},{16,21,9},{16,21,9},{16,21,9},{16,44,9},{22,2,2178},{0,12,610},{0,12,610},{0,22,1184},{42,2,2178},{0,22,1184},{13,2,2665},{16,21,1},{20,45,0},{0,31,410},{13,2,2665},{3,6,2665},{0,31,410},{0,14,2677},{3,6,2665},{0,14,2677},{16,0,34},
{16,0,34},{16,0,34},{16,0,34},{0,34,0},{0,34,0},{0,34,0},{0,32,1},{0,32,10},{0,32,10},{18,1,3971},{32,35,150},{2,43,644},{16,45,534},{0,1,9669},{0,43,4214},{0,31,1226},{0,28,5954},{0,14,11246},{0,12,6951},{4,1,3285},{2,5,4},{34,13,274},{32,15,483},{0,1,9669},{0,43,4214},{0,31,1226},{0,28,5954},{1,0,9669},{0,28,5954},{16,3,146},{16,3,146},{16,3,146},
{16,30,147},{0,29,2180},{0,28,458},{0,28,458},{0,8,1018},{0,8,2691},{0,38,1419},{2,21,0},{2,21,0},{2,21,0},{2,14,1},{8,2,2178},{0,28,458},{0,28,458},{0,8,1018},{30,2,2178},{0,8,1018},{27,2,2665},{2,5,4},{6,29,9},{0,15,338},{27,2,2665},{35,8,2665},{0,15,338},{0,30,2665},{35,8,2665},{0,30,2665},{16,0,146},{16,0,146},{16,0,146},{16,0,146},{0,6,1},
{0,6,1},{0,6,1},{0,18,4},{0,18,40},{0,18,40},{34,1,4603},{32,3,307},{2,11,925},{32,29,667},{16,1,9779},{0,41,3905},{0,45,913},{0,44,5653},{0,46,11530},{0,44,6878},{36,1,3390},{18,19,11},{4,27,269},{2,29,474},{18,3,9669},{0,41,3905},{0,45,913},{0,44,5653},{45,8,9669},{0,44,5653},{32,1,291},{32,1,291},{32,1,291},{32,47,291},{0,11,2178},{0,46,305},{0,46,305},
{0,40,925},{0,10,2872},{0,8,1427},{34,5,10},{34,5,10},{34,5,10},{18,46,9},{24,4,2178},{0,46,305},{0,46,305},{0,40,925},{11,0,2178},{0,40,925},{8,1,2665},{18,19,2},{22,43,0},{0,29,265},{8,1,2665},{1,8,2665},{0,29,265},{0,46,2677},{1,8,2665},{0,46,2677},{32,0,290},{32,0,290},{32,0,290},{32,0,290},{0,24,1},{0,24,1},{0,24,1},{0,20,1},{0,34,100},
{0,34,100},{20,1,5538},{2,17,582},{34,41,1298},{2,43,882},{2,1,10086},{0,9,3618},{0,43,581},{0,30,5418},{0,15,11905},{0,14,6895},{22,1,3586},{4,3,3},{36,11,273},{34,43,478},{15,2,9669},{0,9,3618},{0,43,581},{0,30,5418},{33,4,9669},{0,30,5418},{2,1,570},{2,1,570},{2,1,570},{2,15,549},{0,23,2178},{0,15,185},{0,15,185},{0,10,765},{0,26,3090},{0,10,1441},{4,3,2},
{4,3,2},{4,3,2},{4,47,2},{38,10,2178},{0,15,185},{0,15,185},{0,10,765},{23,0,2178},{0,10,765},{23,0,2665},{4,3,2},{8,11,8},{0,43,181},{23,0,2665},{18,9,2665},{0,43,181},{0,31,2665},{18,9,2665},{0,31,2665},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,28,0},{0,28,0},{0,28,0},{0,6,1},{0,20,208},{0,20,208},{36,1,6378},{18,1,926},{4,9,1734},
{18,27,1131},{18,1,10495},{0,7,3434},{0,27,353},{0,47,5186},{0,45,12293},{0,46,6789},{8,1,3785},{20,17,10},{6,25,270},{4,27,491},{43,0,9669},{0,7,3434},{0,27,353},{0,47,5186},{19,6,9669},{0,47,5186},{18,1,922},{18,1,922},{18,1,922},{18,45,842},{0,5,2180},{0,29,106},{0,29,106},{0,42,666},{0,12,3301},{0,26,1514},{36,3,4},{36,3,4},{36,3,4},{36,15,8},{28,2,2178},
{0,29,106},{0,29,106},{0,42,666},{42,8,2178},{0,42,666},{7,2,2665},{20,17,1},{24,41,2},{0,11,136},{7,2,2665},{2,7,2665},{0,11,136},{0,15,2669},{2,7,2665},{0,15,2669},{18,0,841},{18,0,841},{18,0,841},{18,0,841},{0,46,1},{0,46,1},{0,46,1},{0,8,4},{0,6,306},{0,6,306},{6,1,7490},{34,1,1446},{4,39,2218},{18,41,1450},{34,1,11103},{0,21,3209},{0,41,187},
{0,31,4909},{0,43,12686},{0,31,6845},{40,1,3938},{6,1,3},{38,9,273},{36,41,478},{11,0,9669},{0,21,3209},{0,41,187},{0,31,4909},{5,8,9669},{0,31,4909},{34,1,1382},{34,1,1382},{34,1,1382},{34,13,1213},{0,17,2178},{0,27,40},{0,27,40},{0,28,544},{0,44,3603},{0,12,1541},{6,1,2},{6,1,2},{6,1,2},{6,45,2},{16,3,2178},{0,27,40},{0,27,40},{0,28,544},{17,0,2178},
{0,28,544},{21,2,2665},{6,1,2},{10,9,8},{0,25,90},{21,2,2665},{16,5,2665},{0,25,90},{0,29,2665},{16,5,2665},{0,29,2665},{34,0,1213},{34,0,1213},{34,0,1213},{34,0,1213},{0,29,1},{0,29,1},{0,29,1},{0,24,4},{0,22,458},{0,22,458},{22,1,8710},{20,1,2145},{20,7,2826},{34,25,1850},{20,1,11913},{0,35,3073},{0,9,86},{0,15,4721},{0,41,13118},{0,15,6837},{26,1,4118},
{38,1,29},{8,23,258},{6,25,491},{24,3,9669},{0,35,3073},{0,9,86},{0,15,4721},{3,24,9669},{0,15,4721},{4,1,1973},{4,1,1973},{4,1,1973},{34,27,1630},{16,1,2221},{0,25,10},{0,25,10},{0,44,450},{0,46,3876},{0,28,1633},{38,1,4},{38,1,4},{38,1,4},{38,29,8},{30,4,2178},{0,25,10},{0,25,10},{0,44,450},{15,8,2178},{0,44,450},{14,1,2665},{8,1,25},{26,39,1},
{0,9,61},{14,1,2665},{4,5,2665},{0,9,61},{0,13,2669},{4,5,2665},{0,13,2669},{34,0,1629},{34,0,1629},{34,0,1629},{34,0,1629},{0,11,0},{0,11,0},{0,11,0},{0,26,1},{0,24,629},{0,24,629},{8,1,10335},{36,1,3100},{36,21,3546},{4,39,2361},{36,1,12883},{0,33,2901},{0,23,25},{0,13,4485},{0,25,13589},{0,45,6982},{42,1,4353},{24,1,117},{40,37,270},{38,39,491},{29,12,9669},
{0,33,2901},{0,23,25},{0,13,4485},{26,13,9669},{0,13,4485},{36,1,2739},{36,1,2739},{36,1,2739},{4,41,2181},{32,1,2427},{0,39,4},{0,39,4},{0,46,353},{0,31,4242},{0,14,1830},{24,1,17},{24,1,17},{24,1,17},{8,43,2},{45,0,2178},{16,39,2},{16,39,2},{0,46,353},{27,8,2178},{0,46,353},{17,0,2665},{40,1,73},{12,7,5},{0,23,25},{17,0,2665},{18,3,2665},{0,23,25},
{0,27,2665},{18,3,2665},{0,27,2665},{4,0,2180},{4,0,2180},{4,0,2180},{4,0,2180},{0,23,0},{0,23,0},{0,23,0},{0,12,1},{0,10,820},{0,10,820},{24,1,11582},{6,1,4137},{6,35,4199},{20,7,2845},{6,1,13958},{0,1,2826},{0,37,31},{0,43,4255},{0,39,13958},{0,43,6958},{28,1,4610},{10,1,278},{10,21,261},{8,23,481},{37,0,9669},{0,1,2825},{16,37,18},{0,43,4254},{36,9,9669},
{0,43,4254},{36,1,3454},{36,1,3454},{36,1,3454},{20,9,2665},{18,1,2740},{16,7,26},{16,7,26},{0,47,278},{0,15,4491},{0,46,1858},{40,1,29},{40,1,29},{40,1,29},{40,27,5},{29,2,2178},{32,23,2},{32,23,2},{0,47,277},{35,6,2178},{0,47,277},{1,2,2665},{42,1,157},{28,37,2},{0,37,5},{1,2,2665},{2,1,2665},{0,37,5},{0,11,2677},{2,1,2665},{0,11,2677},{20,0,2665},
{20,0,2665},{20,0,2665},{20,0,2665},{0,5,2},{0,5,2},{0,5,2},{0,14,5},{0,12,981},{0,12,981},{40,1,12090},{38,1,4554},{22,19,4203},{36,21,2837},{38,1,14410},{32,1,2930},{32,21,37},{0,27,4187},{0,37,13477},{0,27,6222},{14,1,4826},{42,1,465},{42,35,270},{40,7,488},{5,0,9669},{2,1,2921},{2,21,25},{0,27,4106},{0,5,9669},{0,27,4106},{22,1,3593},{22,1,3593},{22,1,3593},
{6,39,2677},{34,1,2840},{32,21,21},{32,21,21},{16,15,277},{0,43,4186},{0,31,1450},{26,1,52},{26,1,52},{26,1,52},{10,41,2},{43,2,2178},{18,7,4},{18,7,4},{0,15,205},{21,8,2178},{0,15,205},{13,3,2665},{44,1,260},{14,5,5},{0,5,8},{13,3,2665},{20,1,2665},{0,5,8},{0,25,2665},{20,1,2665},{0,25,2665},{6,0,2677},{6,0,2677},{6,0,2677},{6,0,2677},{32,35,4},
{32,35,4},{32,35,4},{32,30,5},{0,28,745},{0,28,745},{26,1,12542},{24,1,4990},{8,33,4178},{22,5,2845},{24,1,14719},{2,1,3162},{18,35,34},{16,41,4197},{0,5,13013},{0,41,5610},{46,1,5121},{28,1,754},{12,19,270},{26,21,484},{30,3,9669},{4,1,3110},{18,35,18},{0,41,3929},{42,9,9669},{0,41,3929},{8,1,3770},{8,1,3770},{8,1,3770},{22,7,2666},{20,1,3011},{18,5,26},{18,5,26},
{32,45,261},{0,27,3822},{0,15,1062},{12,1,98},{12,1,98},{12,1,98},{42,25,5},{38,1,2178},{34,21,2},{34,21,2},{0,29,160},{43,28,2178},{0,29,160},{43,1,2665},{30,1,388},{30,35,2},{16,35,2},{43,1,2665},{8,1,2665},{16,35,2},{0,9,2677},{8,1,2665},{0,9,2677},{22,0,2665},{22,0,2665},{22,0,2665},{22,0,2665},{2,3,2},{2,3,2},{2,3,2},{2,46,5},{0,46,578},
{0,46,578},{12,1,13222},{40,1,5610},{40,17,4197},{38,19,2849},{26,1,15194},{4,1,3497},{34,19,34},{32,9,4178},{0,3,12493},{0,25,4990},{47,1,5429},{14,1,1062},{44,33,261},{42,5,499},{46,1,9669},{36,1,3341},{4,19,26},{0,9,3770},{26,7,9669},{0,9,3770},{40,1,3929},{40,1,3929},{40,1,3929},{8,37,2678},{6,1,3174},{34,19,18},{34,19,18},{18,13,270},{0,25,3462},{0,29,754},{28,1,160},
{28,1,160},{28,1,160},{12,39,5},{39,0,2178},{20,35,2},{20,35,2},{0,13,98},{9,28,2178},{0,13,98},{11,1,2665},{47,1,578},{47,3,5},{2,3,2},{11,1,2665},{42,1,2665},{2,3,2},{0,23,2665},{42,1,2665},{0,23,2665},{8,0,2677},{8,0,2677},{8,0,2677},{8,0,2677},{34,17,2},{34,17,2},{34,17,2},{34,31,2},{0,31,388},{0,31,388},{28,1,13826},{26,1,6222},{26,1,4187},
{24,3,2835},{42,1,15614},{36,1,3886},{20,33,37},{18,23,4203},{0,17,12134},{0,39,4554},{45,1,5669},{30,1,1450},{14,17,277},{28,19,484},{31,1,9669},{38,1,3605},{20,33,21},{0,23,3593},{32,1,9669},{0,23,3593},{26,1,4106},{26,1,4106},{26,1,4106},{24,5,2665},{22,1,3378},{20,3,25},{20,3,25},{34,43,270},{0,39,3206},{0,43,465},{14,1,205},{14,1,205},{14,1,205},{44,7,5},{23,2,2178},
{36,3,4},{36,3,4},{0,27,52},{20,9,2178},{0,27,52},{39,3,2665},{29,1,745},{31,33,5},{34,33,4},{39,3,2665},{14,1,2665},{34,33,4},{0,7,2677},{14,1,2665},{0,7,2677},{24,0,2665},{24,0,2665},{24,0,2665},{24,0,2665},{4,1,8},{4,1,8},{4,1,8},{4,15,5},{0,45,260},{0,45,260},{14,1,14322},{42,1,6958},{42,1,4255},{40,17,2837},{28,1,16150},{38,1,4422},{36,1,31},
{34,7,4199},{0,1,11889},{0,7,4137},{29,1,6018},{47,1,1858},{46,1,278},{44,3,499},{45,1,9669},{40,1,3905},{6,17,26},{0,37,3454},{27,9,9669},{0,37,3454},{42,1,4254},{42,1,4254},{42,1,4254},{40,19,2678},{24,1,3540},{36,17,18},{36,17,18},{20,11,261},{0,37,2979},{0,11,278},{46,1,277},{46,1,277},{46,1,277},{14,37,5},{37,2,2178},{22,33,2},{22,33,2},{0,41,29},{34,7,2178},
{0,41,29},{7,3,2665},{13,1,981},{15,1,5},{4,1,2},{7,3,2665},{15,1,2665},{4,1,2},{0,21,2665},{15,1,2665},{0,21,2665},{10,0,2677},{10,0,2677},{10,0,2677},{10,0,2677},{36,1,5},{36,1,5},{36,1,5},{36,29,2},{0,43,157},{0,43,157},{30,1,13683},{44,1,6982},{12,1,4485},{26,17,2739},{14,1,15204},{24,1,4100},{22,1,25},{20,37,3546},{0,1,10840},{0,37,3100},{13,1,5451},
{15,1,1830},{47,1,353},{30,33,333},{39,11,8712},{26,1,3507},{38,1,4},{0,37,2739},{22,1,8712},{0,37,2739},{12,1,4485},{12,1,4485},{12,1,4485},{26,3,2665},{40,1,3736},{22,1,25},{22,1,25},{36,41,270},{0,5,2779},{0,25,117},{47,1,353},{47,1,353},{47,1,353},{46,5,5},{44,1,2178},{38,17,2},{38,17,2},{0,25,17},{26,9,2178},{0,25,17},{3,25,2178},{11,1,820},{13,1,1},
{22,1,0},{3,25,2178},{29,1,2178},{22,1,0},{0,5,2180},{29,1,2178},{0,5,2180},{26,0,2665},{26,0,2665},{26,0,2665},{26,0,2665},{22,1,25},{22,1,25},{22,1,25},{6,13,5},{0,41,73},{0,41,73},{47,1,12750},{14,1,6837},{14,1,4721},{12,1,2694},{30,1,14061},{40,1,3663},{8,1,86},{6,21,2826},{2,1,9775},{0,21,2145},{11,1,4689},{29,1,1633},{45,1,450},{47,17,195},{17,10,7578},
{44,1,2961},{24,1,10},{0,5,1973},{24,1,7578},{0,5,1973},{14,1,4721},{14,1,4721},{14,1,4721},{12,17,2673},{26,1,3965},{8,1,86},{8,1,86},{22,9,258},{0,3,2571},{0,39,29},{45,1,450},{45,1,450},{45,1,450},{47,19,5},{31,5,2178},{24,1,10},{24,1,10},{0,39,4},{14,9,2178},{0,39,4},{37,1,1625},{25,1,629},{27,1,1},{10,1,0},{37,1,1625},{27,1,1625},{10,1,0},
{0,35,1629},{27,1,1625},{0,35,1629},{12,0,2669},{12,0,2669},{12,0,2669},{12,0,2669},{8,1,61},{8,1,61},{8,1,61},{38,27,1},{0,9,25},{0,9,25},{15,1,12134},{30,1,6845},{30,1,4909},{28,1,2666},{47,1,13165},{26,1,3426},{40,1,187},{38,5,2218},{2,1,9023},{0,35,1446},{11,1,4097},{13,1,1541},{29,1,544},{31,17,90},{39,7,6661},{14,1,2525},{26,1,40},{0,35,1382},{26,1,6661},
{0,35,1382},{30,1,4909},{30,1,4909},{30,1,4909},{28,1,2666},{12,1,4230},{40,1,187},{40,1,187},{8,39,273},{0,17,2453},{0,7,3},{29,1,544},{29,1,544},{29,1,544},{15,3,5},{17,2,2178},{26,1,40},{26,1,40},{0,7,2},{16,1,2178},{0,7,2},{21,1,1201},{23,1,458},{25,1,4},{28,1,1},{21,1,1201},{41,1,1201},{28,1,1},{0,35,1213},{41,1,1201},{0,35,1213},{28,0,2665},
{28,0,2665},{28,0,2665},{28,0,2665},{24,1,90},{24,1,90},{24,1,90},{8,11,8},{0,7,2},{0,7,2},{45,1,11330},{47,1,6789},{46,1,5186},{14,1,2694},{47,1,12365},{42,1,3246},{26,1,353},{8,5,1734},{20,1,8393},{0,19,926},{25,1,3614},{27,1,1514},{43,1,666},{45,17,35},{9,3,5829},{47,1,2177},{28,1,106},{0,19,922},{31,3,5829},{0,19,922},{46,1,5186},{46,1,5186},{46,1,5186},
{14,1,2694},{14,1,4504},{26,1,353},{26,1,353},{24,7,270},{16,1,2450},{16,21,10},{43,1,666},{43,1,666},{43,1,666},{45,33,2},{29,3,2178},{28,1,106},{28,1,106},{2,37,4},{43,9,2178},{2,37,4},{5,1,841},{7,1,306},{9,1,4},{47,1,1},{5,1,841},{9,1,841},{47,1,1},{0,19,841},{9,1,841},{0,19,841},{14,0,2669},{14,0,2669},{14,0,2669},{14,0,2669},{10,1,136},
{10,1,136},{10,1,136},{40,25,2},{16,21,1},{16,21,1},{29,1,10834},{15,1,6895},{31,1,5418},{30,1,2786},{45,1,11530},{44,1,3154},{42,1,581},{40,35,1298},{36,1,7857},{16,3,582},{9,1,3105},{11,1,1441},{11,1,765},{13,1,8},{37,7,5082},{47,1,1905},{14,1,185},{0,3,570},{30,1,5082},{0,3,570},{31,1,5418},{31,1,5418},{31,1,5418},{30,1,2786},{30,1,4724},{42,1,581},{42,1,581},
{10,37,273},{2,1,2587},{2,5,3},{11,1,765},{11,1,765},{11,1,765},{13,1,8},{39,11,2178},{14,1,185},{14,1,185},{2,5,2},{22,1,2178},{2,5,2},{3,3,545},{21,1,208},{7,1,1},{29,1,0},{3,3,545},{23,1,545},{29,1,0},{0,3,545},{23,1,545},{0,3,545},{30,0,2665},{30,0,2665},{30,0,2665},{30,0,2665},{42,1,181},{42,1,181},{42,1,181},{10,9,8},{2,5,2},
{2,5,2},{13,1,10311},{45,1,6878},{45,1,5653},{47,1,2933},{29,1,10827},{14,1,3066},{44,1,913},{10,3,925},{8,1,7297},{2,33,307},{39,1,2707},{9,1,1427},{41,1,925},{27,1,32},{23,17,4344},{29,1,1611},{47,1,305},{0,33,291},{45,17,4344},{0,33,291},{45,1,5653},{45,1,5653},{45,1,5653},{47,1,2933},{47,1,5051},{44,1,913},{44,1,913},{26,5,269},{4,1,2859},{18,19,11},{41,1,925},
{41,1,925},{41,1,925},{27,1,32},{25,5,2178},{47,1,305},{47,1,305},{18,19,10},{10,1,2178},{18,19,10},{33,3,288},{35,1,100},{21,1,1},{25,1,1},{33,3,288},{21,1,288},{25,1,1},{0,33,290},{21,1,288},{0,33,290},{47,0,2677},{47,0,2677},{47,0,2677},{47,0,2677},{28,1,265},{28,1,265},{28,1,265},{42,23,0},{18,19,2},{18,19,2},{11,1,9837},{13,1,6951},{29,1,5954},
{15,1,3166},{13,1,10279},{47,1,3138},{30,1,1226},{42,3,644},{40,1,6929},{34,33,150},{7,1,2436},{39,1,1419},{9,1,1018},{11,1,101},{3,25,3779},{13,1,1475},{29,1,458},{2,17,146},{29,1,3779},{2,17,146},{29,1,5954},{29,1,5954},{29,1,5954},{15,1,3166},{31,1,5396},{30,1,1226},{30,1,1226},{12,35,274},{36,1,3147},{4,3,4},{9,1,1018},{9,1,1018},{9,1,1018},{11,1,101},{9,3,2178},
{29,1,458},{29,1,458},{20,3,0},{31,3,2178},{20,3,0},{17,3,128},{19,1,40},{19,1,4},{7,1,1},{17,3,128},{35,1,128},{7,1,1},{0,17,146},{35,1,128},{0,17,146},{31,0,2665},{31,0,2665},{31,0,2665},{31,0,2665},{14,1,338},{14,1,338},{14,1,338},{28,7,9},{4,3,4},{4,3,4},{11,1,9437},{27,1,7149},{43,1,6265},{29,1,3402},{11,1,9788},{47,1,3234},{47,1,1634},
{28,33,444},{42,1,6719},{20,17,35},{21,1,2210},{23,1,1473},{23,1,1184},{25,1,241},{21,17,3299},{11,1,1400},{13,1,610},{20,17,34},{17,21,3299},{20,17,34},{43,1,6265},{43,1,6265},{43,1,6265},{29,1,3402},{45,1,5621},{47,1,1634},{47,1,1634},{28,3,285},{8,1,3421},{20,17,10},{23,1,1184},{23,1,1184},{23,1,1184},{25,1,241},{23,3,2178},{13,1,610},{13,1,610},{20,17,9},{43,3,2178},
{20,17,9},{17,1,34},{33,1,10},{33,1,1},{35,1,0},{17,1,34},{3,1,34},{35,1,0},{0,17,34},{3,1,34},{0,17,34},{15,0,2677},{15,0,2677},{15,0,2677},{15,0,2677},{30,1,410},{30,1,410},{30,1,410},{44,21,0},{20,17,1},{20,17,1},{9,1,9175},{11,1,7181},{11,1,6505},{13,1,3686},{11,1,9340},{45,1,3447},{47,1,2114},{14,17,315},{44,1,6532},{6,1,4},{21,1,2034},
{21,1,1553},{7,1,1348},{39,1,410},{17,39,2904},{9,1,1411},{11,1,820},{22,1,0},{39,17,2904},{22,1,0},{11,1,6505},{11,1,6505},{11,1,6505},{13,1,3686},{13,1,5990},{47,1,2114},{47,1,2114},{14,33,274},{40,1,3789},{6,1,4},{7,1,1348},{7,1,1348},{7,1,1348},{39,1,410},{3,25,2178},{11,1,820},{11,1,820},{22,1,0},{29,1,2178},{22,1,0},{1,1,0},{1,1,0},{1,1,0},
{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{29,0,2665},{29,0,2665},{29,0,2665},{29,0,2665},{47,1,514},{47,1,514},{47,1,514},{30,5,9},{6,1,4},{6,1,4},{9,1,7987},{41,1,6503},{41,1,5878},{27,1,3561},{25,1,8118},{29,1,3051},{45,1,1934},{30,17,167},{30,1,5562},{8,1,29},{5,1,1507},{21,1,1130},{21,1,986},{23,1,298},{19,3,2166},
{23,1,1019},{25,1,629},{10,1,0},{39,1,2166},{10,1,0},{41,1,5878},{41,1,5878},{41,1,5878},{27,1,3561},{27,1,5301},{45,1,1934},{45,1,1934},{30,17,142},{42,1,3266},{8,1,29},{21,1,986},{21,1,986},{21,1,986},{23,1,298},{37,1,1625},{25,1,629},{25,1,629},{10,1,0},{27,1,1625},{10,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},
{0,1,0},{1,1,0},{0,1,0},{43,0,2669},{43,0,2669},{43,0,2669},{43,0,2669},{15,1,650},{15,1,650},{15,1,650},{46,19,1},{8,1,29},{8,1,29},{39,1,7111},{9,1,5795},{9,1,5354},{11,1,3381},{9,1,6983},{13,1,2803},{13,1,1842},{47,17,79},{47,1,4802},{40,1,85},{35,1,1132},{5,1,830},{5,1,730},{7,1,226},{3,3,1601},{7,1,739},{23,1,458},{28,1,1},{3,3,1601},
{28,1,1},{9,1,5354},{9,1,5354},{9,1,5354},{11,1,3381},{11,1,4622},{13,1,1842},{13,1,1842},{47,17,54},{44,1,2834},{40,1,85},{5,1,730},{5,1,730},{5,1,730},{7,1,226},{21,1,1201},{23,1,458},{23,1,458},{28,1,1},{41,1,1201},{28,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{27,0,2665},
{27,0,2665},{27,0,2665},{27,0,2665},{45,1,725},{45,1,725},{45,1,725},{47,33,5},{40,1,85},{40,1,85},{23,1,6361},{39,1,5231},{9,1,4826},{41,1,3294},{39,1,6071},{11,1,2610},{43,1,1825},{15,1,17},{47,1,4162},{42,1,169},{19,1,792},{35,1,584},{35,1,520},{21,1,153},{19,1,1121},{7,1,531},{7,1,306},{47,1,1},{37,1,1121},{47,1,1},{9,1,4826},{9,1,4826},{9,1,4826},
{41,1,3294},{41,1,4145},{43,1,1825},{43,1,1825},{15,1,17},{30,1,2474},{42,1,169},{35,1,520},{35,1,520},{35,1,520},{21,1,153},{5,1,841},{7,1,306},{7,1,306},{47,1,1},{9,1,841},{47,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{41,0,2669},{41,0,2669},{41,0,2669},{41,0,2669},{13,1,865},
{13,1,865},{13,1,865},{15,17,2},{42,1,169},{42,1,169},{7,1,5637},{23,1,4730},{39,1,4406},{9,1,3146},{39,1,5287},{11,1,2418},{11,1,1742},{45,1,8},{29,1,3547},{44,1,274},{3,1,489},{19,1,376},{19,1,340},{35,1,100},{33,33,726},{5,1,344},{21,1,208},{29,1,0},{33,33,726},{29,1,0},{39,1,4406},{39,1,4406},{39,1,4406},{9,1,3146},{9,1,3630},{11,1,1742},{11,1,1742},
{45,1,8},{47,1,2178},{44,1,274},{19,1,340},{19,1,340},{19,1,340},{35,1,100},{3,3,545},{21,1,208},{21,1,208},{29,1,0},{23,1,545},{29,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{25,0,2665},{25,0,2665},{25,0,2665},{25,0,2665},{27,1,1025},{27,1,1025},{27,1,1025},{45,1,8},{44,1,274},
{44,1,274},{36,1,50644},{0,1,2121},{0,25,169},{0,41,4591},{20,1,59804},{0,3,19310},{0,11,7401},{0,43,24008},{0,9,65535},{0,15,40741},{18,1,10267},{0,3,1445},{0,41,137},{0,15,3985},{42,6,18065},{0,45,12064},{0,31,6081},{0,12,14121},{19,0,18065},{0,12,14121},{0,15,1},{0,15,1},{0,15,1},{0,24,0},{0,24,1105},{0,22,410},{0,22,410},{0,4,666},{0,4,1217},{0,4,766},{0,15,1},
{0,15,1},{0,15,1},{0,24,0},{34,2,1105},{0,22,410},{0,22,410},{0,4,666},{24,0,1105},{0,4,666},{43,2,9248},{0,3,1445},{0,41,137},{0,15,3985},{43,2,9248},{21,8,9248},{0,15,3985},{0,14,9256},{21,8,9248},{0,14,9256},{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},{36,1,53600},{16,1,2998},{0,9,44},
{0,25,3941},{36,1,62123},{0,1,18506},{0,25,6750},{0,27,23131},{0,39,65535},{0,29,40569},{34,1,10859},{0,1,1241},{0,9,50},{0,13,3690},{16,3,19334},{0,43,12449},{0,15,6117},{0,28,14809},{17,0,19334},{0,28,14809},{0,27,0},{0,27,0},{0,27,0},{0,10,1},{0,26,1513},{0,8,585},{0,8,585},{0,20,914},{0,20,1669},{0,20,1058},{0,27,0},{0,27,0},{0,27,0},{0,10,1},{34,4,1513},
{0,8,585},{0,8,585},{0,20,914},{26,0,1513},{0,20,914},{38,1,9248},{0,1,1241},{0,9,50},{0,13,3690},{38,1,9248},{43,28,9248},{0,13,3690},{0,46,9250},{43,28,9248},{0,46,9250},{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},{36,1,56716},{16,1,4497},{0,23,30},{0,39,3500},{36,1,64625},{0,1,18101},{0,9,6313},
{0,11,22459},{0,37,65535},{0,43,39632},{4,1,11624},{0,1,1225},{0,39,10},{0,27,3400},{16,1,20689},{0,41,12854},{0,43,6221},{0,44,15490},{19,2,20689},{0,44,15490},{0,9,1},{0,9,1},{0,9,1},{0,42,1},{0,12,1985},{0,10,757},{0,10,757},{0,36,1241},{0,36,2193},{0,20,1394},{0,9,1},{0,9,1},{0,9,1},{0,42,1},{6,0,1985},{0,10,757},{0,10,757},{0,36,1241},{12,0,1985},
{0,36,1241},{24,1,9248},{0,1,1225},{0,39,10},{0,27,3400},{24,1,9248},{32,9,9248},{0,27,3400},{0,47,9248},{32,9,9248},{0,47,9248},{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},{6,1,58324},{32,1,6344},{0,7,6},{0,23,2873},{36,1,65535},{16,1,17968},{0,23,5727},{0,25,21128},{0,21,63585},{0,27,38087},{36,1,12449},
{16,1,1437},{0,7,9},{0,41,3185},{47,2,22129},{0,25,13298},{0,43,6189},{0,44,16354},{17,2,22129},{0,44,16354},{0,21,0},{0,21,0},{0,21,0},{0,44,1},{0,44,2521},{0,26,953},{0,26,953},{0,6,1553},{0,6,2770},{0,6,1778},{0,21,0},{0,21,0},{0,21,0},{0,44,1},{22,0,2521},{0,26,953},{0,26,953},{0,6,1553},{44,0,2521},{0,6,1553},{7,0,9248},{16,1,1412},{16,7,0},
{0,41,3185},{7,0,9248},{0,7,9248},{0,41,3185},{0,15,9266},{0,7,9248},{0,15,9266},{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},{22,1,58878},{32,1,8497},{0,21,52},{0,37,2302},{22,1,65535},{16,1,18091},{0,37,5062},{0,9,19646},{0,5,60796},{0,41,35977},{36,1,13547},{16,1,1923},{16,21,62},{0,25,2897},{45,0,23851},
{0,39,13856},{0,27,6323},{0,46,17289},{27,8,23851},{0,46,17289},{0,33,0},{0,33,0},{0,33,0},{0,30,0},{0,46,3200},{0,12,1186},{0,12,1186},{0,38,1962},{0,22,3521},{0,22,2261},{0,33,0},{0,33,0},{0,33,0},{0,30,0},{18,10,3200},{0,12,1186},{0,12,1186},{0,38,1962},{46,0,3200},{0,38,1962},{37,2,9248},{2,1,1717},{2,21,5},{0,25,2897},{37,2,9248},{34,7,9248},{0,25,2897},
{0,45,9250},{34,7,9248},{0,45,9250},{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},{22,1,59528},{2,1,10468},{0,5,122},{0,21,1965},{22,1,65535},{16,1,18728},{0,21,4602},{0,23,18427},{0,3,58418},{0,25,34396},{6,1,14752},{2,1,2501},{16,35,141},{0,39,2720},{45,2,25472},{0,37,14401},{0,41,6413},{0,46,18185},{25,8,25472},
{0,46,18185},{0,1,16},{0,1,16},{0,1,16},{0,47,0},{0,31,3872},{0,28,1450},{0,28,1450},{0,38,2362},{0,38,4283},{0,38,2723},{0,1,16},{0,1,16},{0,1,16},{0,47,0},{36,6,3872},{0,28,1450},{0,28,1450},{0,38,2362},{31,0,3872},{0,38,2362},{44,1,9248},{20,1,2041},{18,5,2},{0,39,2720},{44,1,9248},{26,9,9248},{0,39,2720},{0,13,9256},{26,9,9248},{0,13,9256},{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},{24,1,60070},{2,1,12544},{0,19,188},{0,35,1604},{22,1,65535},{32,1,19503},{0,5,4081},{0,7,17117},{0,3,56204},{0,25,32856},{22,1,15824},{2,1,3225},{32,19,229},{0,7,2478},{46,10,26744},{0,21,14657},{0,25,6357},{0,31,18737},{23,8,26744},{0,31,18737},{16,1,115},{16,1,115},{16,1,115},
{0,15,5},{0,29,4420},{0,46,1613},{0,46,1613},{0,8,2642},{0,8,4931},{0,8,3083},{16,1,90},{16,1,90},{16,1,90},{0,15,5},{8,2,4418},{0,46,1613},{0,46,1613},{0,8,2642},{30,2,4418},{0,8,2642},{33,0,9248},{36,1,2405},{34,19,5},{0,7,2474},{33,0,9248},{32,3,9248},{0,7,2474},{0,43,9250},{32,3,9248},{0,43,9250},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,16,1},
{0,16,1},{0,16,1},{0,16,1},{0,16,2},{0,16,2},{24,1,60699},{2,1,14864},{16,3,314},{0,19,1400},{24,1,65535},{2,1,20230},{0,19,3323},{0,37,15488},{0,17,54456},{0,39,31364},{24,1,16210},{4,1,3849},{2,33,221},{0,37,2328},{38,3,26744},{0,3,14114},{0,23,5618},{0,15,18273},{35,8,26744},{0,15,18273},{32,1,291},{32,1,291},{32,1,291},{16,29,50},{0,11,4418},{0,31,1325},{0,31,1325},
{0,10,2465},{0,10,5112},{0,8,3051},{2,1,136},{2,1,136},{2,1,136},{32,29,5},{24,4,4418},{0,31,1325},{0,31,1325},{0,10,2465},{11,0,4418},{0,10,2465},{47,1,9248},{8,1,2738},{20,3,1},{0,37,2228},{47,1,9248},{31,9,9248},{0,37,2228},{0,11,9256},{31,9,9248},{0,11,9256},{16,0,50},{16,0,50},{16,0,50},{16,0,50},{0,4,0},{0,4,0},{0,4,0},{0,2,0},{0,32,18},
{0,32,18},{24,1,61549},{2,1,17597},{16,17,476},{0,33,1268},{24,1,65535},{2,1,21346},{0,33,2615},{0,5,13900},{0,17,52724},{0,37,29656},{40,1,16729},{36,1,4545},{34,1,221},{32,21,2384},{8,1,26744},{0,3,13529},{0,37,4710},{0,29,17819},{1,8,26744},{0,29,17819},{2,1,626},{2,1,626},{2,1,626},{32,43,185},{0,23,4418},{0,45,1037},{0,45,1037},{0,10,2249},{0,26,5330},{0,10,2925},{34,1,185},
{34,1,185},{34,1,185},{18,13,4},{38,10,4418},{0,45,1037},{0,45,1037},{0,10,2249},{23,0,4418},{0,10,2249},{29,3,9248},{40,1,3188},{6,17,2},{0,35,2041},{29,3,9248},{43,9,9248},{0,35,2041},{0,41,9256},{43,9,9248},{0,41,9256},{32,0,185},{32,0,185},{32,0,185},{32,0,185},{0,38,0},{0,38,0},{0,38,0},{0,34,1},{0,18,61},{0,18,61},{40,1,62083},{4,1,19345},{16,1,697},
{0,17,1188},{24,1,65535},{2,1,22086},{0,17,2057},{0,35,12551},{0,1,51532},{0,37,28158},{26,1,16691},{36,1,5081},{20,1,265},{32,35,2281},{29,12,26259},{0,17,12803},{0,5,3981},{0,43,16952},{26,13,26259},{0,43,16952},{18,1,1006},{18,1,1006},{18,1,1006},{2,11,378},{0,5,4420},{0,43,820},{0,43,820},{0,12,2020},{0,12,5541},{0,42,2966},{20,1,265},{20,1,265},{20,1,265},{34,27,1},{28,2,4418},
{0,43,820},{0,43,820},{0,12,2020},{42,8,4418},{0,12,2020},{43,3,8978},{42,1,3434},{22,1,1},{0,19,1737},{43,3,8978},{45,7,8978},{0,19,1737},{0,9,8986},{45,7,8978},{0,9,8986},{2,0,377},{2,0,377},{2,0,377},{2,0,377},{0,10,1},{0,10,1},{0,10,1},{0,20,4},{0,4,136},{0,4,136},{40,1,62361},{4,1,19653},{16,1,1095},{0,17,1126},{24,1,65535},{2,1,21601},{0,17,1502},
{0,19,11253},{0,1,50904},{0,37,27226},{42,1,15419},{38,1,4708},{36,1,320},{18,19,1862},{23,2,24371},{0,1,11221},{0,35,2905},{0,27,15080},{20,9,24371},{0,27,15080},{34,1,1522},{34,1,1522},{34,1,1522},{2,25,618},{0,17,4418},{0,41,610},{0,41,610},{0,44,1810},{0,44,5843},{0,12,2885},{36,1,320},{36,1,320},{36,1,320},{20,11,9},{16,3,4418},{0,41,610},{0,41,610},{0,44,1810},{17,0,4418},
{0,44,1810},{27,3,7938},{44,1,3033},{8,1,4},{0,19,1225},{27,3,7938},{39,9,7938},{0,19,1225},{0,9,7946},{39,9,7938},{0,9,7946},{2,0,617},{2,0,617},{2,0,617},{2,0,617},{0,44,0},{0,44,0},{0,44,0},{0,22,1},{0,36,232},{0,36,232},{40,1,62690},{4,1,20049},{32,1,1585},{16,17,1131},{40,1,65535},{2,1,21187},{0,17,1035},{0,19,10004},{0,1,50320},{0,37,26351},{28,1,14260},
{24,1,4365},{22,1,410},{4,19,1523},{47,11,22568},{0,1,9893},{0,19,1997},{0,27,13320},{22,9,22568},{0,27,13320},{4,1,2169},{4,1,2169},{4,1,2169},{18,9,929},{16,1,4461},{0,9,442},{0,9,442},{0,14,1665},{0,46,6116},{0,44,2907},{22,1,410},{22,1,410},{22,1,410},{36,25,1},{30,4,4418},{0,9,442},{0,9,442},{0,14,1665},{15,8,4418},{0,14,1665},{11,3,6962},{14,1,2645},{10,1,1},
{0,3,832},{11,3,6962},{44,3,6962},{0,3,832},{0,39,6962},{44,3,6962},{0,39,6962},{18,0,925},{18,0,925},{18,0,925},{18,0,925},{0,47,0},{0,47,0},{0,47,0},{0,8,0},{0,22,338},{0,22,338},{40,1,63078},{4,1,20586},{32,1,2208},{16,1,1221},{40,1,65535},{2,1,20797},{0,17,616},{0,19,8676},{0,1,49684},{0,37,25424},{14,1,12942},{40,1,4061},{8,1,530},{36,19,1147},{21,2,20642},
{16,1,8678},{0,3,1157},{0,41,11489},{24,9,20642},{0,41,11489},{20,1,3009},{20,1,3009},{20,1,3009},{34,7,1358},{32,1,4667},{0,7,305},{0,7,305},{0,46,1445},{0,31,6482},{0,14,3034},{8,1,530},{8,1,530},{8,1,530},{22,9,5},{45,0,4418},{0,7,305},{0,7,305},{0,46,1445},{27,8,4418},{0,46,1445},{11,1,5941},{30,1,2260},{42,1,0},{0,33,445},{11,1,5941},{26,1,5941},{0,33,445},
{0,23,5941},{26,1,5941},{0,23,5941},{34,0,1354},{34,0,1354},{34,0,1354},{34,0,1354},{0,13,0},{0,13,0},{0,13,0},{0,40,1},{0,8,522},{0,8,522},{40,1,63433},{4,1,21145},{32,1,2873},{16,1,1404},{40,1,65535},{2,1,20517},{0,1,339},{0,19,7570},{0,1,49136},{0,37,24652},{30,1,11862},{26,1,3845},{40,1,617},{22,3,868},{44,1,19021},{2,1,7769},{0,33,621},{0,25,9957},{26,9,19021},
{0,25,9957},{36,1,3819},{36,1,3819},{36,1,3819},{4,37,1809},{2,1,5012},{0,5,185},{0,5,185},{0,31,1285},{0,15,6822},{0,46,3029},{40,1,617},{40,1,617},{40,1,617},{38,23,2},{29,2,4418},{0,5,185},{0,5,185},{0,31,1285},{35,6,4418},{0,31,1285},{41,1,5101},{47,1,1924},{28,1,1},{0,17,221},{41,1,5101},{28,1,5101},{0,17,221},{0,7,5113},{28,1,5101},{0,7,5113},{4,0,1808},
{4,0,1808},{4,0,1808},{4,0,1808},{0,25,0},{0,25,0},{0,25,0},{0,26,4},{0,24,698},{0,24,698},{26,1,63733},{4,1,21777},{32,1,3641},{16,1,1687},{40,1,65535},{2,1,20303},{0,1,133},{0,3,6539},{0,1,48607},{0,37,23935},{30,1,10886},{42,1,3641},{26,1,724},{8,33,659},{46,3,17485},{2,1,6985},{0,17,257},{0,25,8565},{16,3,17485},{0,25,8565},{6,1,4820},{6,1,4820},{6,1,4820},
{4,5,2324},{18,1,5437},{0,3,101},{0,3,101},{0,15,1129},{0,45,7234},{0,31,3141},{26,1,724},{26,1,724},{26,1,724},{24,7,4},{43,2,4418},{0,3,101},{0,3,101},{0,15,1129},{21,8,4418},{0,15,1129},{25,1,4325},{15,1,1658},{14,1,4},{0,17,61},{25,1,4325},{14,1,4325},{0,17,61},{0,7,4329},{14,1,4325},{0,7,4329},{4,0,2320},{4,0,2320},{4,0,2320},{4,0,2320},{0,7,0},
{0,7,0},{0,7,0},{0,28,1},{0,10,872},{0,10,872},{26,1,63992},{4,1,22482},{2,1,4507},{32,1,2059},{40,1,65535},{2,1,20157},{0,1,26},{0,3,5537},{0,1,48100},{0,21,23272},{47,1,9918},{28,1,3518},{42,1,832},{24,33,446},{46,1,16034},{4,1,6314},{0,1,65},{0,39,7293},{26,7,16034},{0,39,7293},{22,1,5900},{22,1,5900},{22,1,5900},{20,19,2888},{34,1,6029},{0,17,40},{0,17,40},
{0,29,1000},{0,43,7619},{0,15,3261},{42,1,832},{42,1,832},{42,1,832},{40,21,1},{38,1,4418},{0,17,40},{0,17,40},{0,29,1000},{43,28,4418},{0,29,1000},{9,1,3613},{29,1,1345},{47,1,4},{0,1,1},{9,1,3613},{46,1,3613},{0,1,1},{0,37,3613},{46,1,3613},{0,37,3613},{20,0,2888},{20,0,2888},{20,0,2888},{20,0,2888},{0,19,1},{0,19,1},{0,19,1},{0,14,0},{0,12,1082},
{0,12,1082},{26,1,64289},{20,1,23310},{2,1,5546},{32,1,2553},{40,1,65535},{2,1,20076},{0,1,26},{0,3,4514},{0,1,47560},{0,5,22518},{31,1,9017},{14,1,3261},{28,1,1000},{10,33,281},{17,2,14504},{36,1,5594},{16,1,40},{0,23,5900},{16,1,14504},{0,23,5900},{38,1,7293},{38,1,7293},{38,1,7293},{36,33,3614},{4,1,6900},{0,1,65},{0,1,65},{0,43,832},{0,41,8070},{0,29,3518},{28,1,1000},
{28,1,1000},{28,1,1000},{26,5,2},{39,0,4418},{16,1,40},{16,1,40},{0,43,832},{9,28,4418},{0,43,832},{23,17,2888},{13,1,1082},{15,1,0},{18,1,1},{23,17,2888},{45,17,2888},{18,1,1},{0,21,2888},{45,17,2888},{0,21,2888},{36,0,3613},{36,0,3613},{36,0,3613},{36,0,3613},{0,1,1},{0,1,1},{0,1,1},{0,46,4},{0,28,1345},{0,28,1345},{26,1,64605},{36,1,24062},{2,1,6574},
{32,1,3098},{26,1,65535},{2,1,20094},{0,1,133},{0,33,3661},{0,1,47145},{0,5,21893},{45,1,8116},{30,1,3141},{14,1,1129},{42,17,147},{43,7,13235},{38,1,5012},{2,1,101},{0,7,4820},{18,1,13235},{0,7,4820},{24,1,8565},{24,1,8565},{24,1,8565},{6,1,4329},{36,1,7725},{16,1,257},{16,1,257},{0,27,724},{0,25,8530},{0,43,3641},{14,1,1129},{14,1,1129},{14,1,1129},{42,19,2},{23,2,4418},
{2,1,101},{2,1,101},{0,27,724},{20,9,4418},{0,27,724},{37,3,2312},{11,1,872},{29,1,1},{6,1,0},{37,3,2312},{21,5,2312},{6,1,0},{0,5,2320},{21,5,2312},{0,5,2320},{6,0,4329},{6,0,4329},{6,0,4329},{6,0,4329},{16,1,61},{16,1,61},{16,1,61},{0,15,4},{0,14,1658},{0,14,1658},{26,1,64960},{36,1,24888},{18,1,7643},{32,1,3742},{26,1,65535},{4,1,20161},{0,1,342},
{0,33,2900},{0,1,46786},{0,5,21347},{29,1,7443},{47,1,3029},{30,1,1285},{12,17,66},{17,6,12051},{24,1,4500},{4,1,185},{0,37,3819},{20,1,12051},{0,37,3819},{24,1,9957},{24,1,9957},{24,1,9957},{22,1,5161},{36,1,8717},{32,1,621},{32,1,621},{0,41,617},{0,39,9026},{0,27,3845},{30,1,1285},{30,1,1285},{30,1,1285},{28,3,4},{37,2,4418},{4,1,185},{4,1,185},{0,41,617},{34,7,4418},
{0,41,617},{21,3,1800},{25,1,698},{27,1,4},{24,1,0},{21,3,1800},{43,1,1800},{24,1,0},{0,5,1808},{43,1,1800},{0,5,1808},{6,0,5113},{6,0,5113},{6,0,5113},{6,0,5113},{16,1,221},{16,1,221},{16,1,221},{0,29,1},{0,46,1924},{0,46,1924},{26,1,65314},{36,1,25774},{18,1,8796},{32,1,4480},{26,1,65535},{4,1,20229},{16,1,625},{0,33,2238},{0,1,46456},{0,5,20870},{13,1,6795},
{15,1,3034},{47,1,1445},{44,1,17},{39,11,10952},{40,1,4076},{6,1,305},{0,21,3009},{22,1,10952},{0,21,3009},{40,1,11489},{40,1,11489},{40,1,11489},{38,1,6125},{6,1,9922},{2,1,1157},{2,1,1157},{0,9,530},{0,37,9571},{0,41,4061},{47,1,1445},{47,1,1445},{47,1,1445},{44,17,2},{44,1,4418},{6,1,305},{6,1,305},{0,9,530},{26,9,4418},{0,9,530},{5,3,1352},{9,1,522},{41,1,1},
{12,1,0},{5,3,1352},{11,1,1352},{12,1,0},{0,35,1354},{11,1,1352},{0,35,1354},{22,0,5941},{22,0,5941},{22,0,5941},{22,0,5941},{32,1,445},{32,1,445},{32,1,445},{0,43,0},{0,31,2260},{0,31,2260},{26,1,65535},{36,1,26766},{18,1,10162},{2,1,5359},{26,1,65359},{4,1,20334},{16,1,1051},{0,33,1610},{0,1,45998},{0,5,20364},{11,1,6173},{45,1,2907},{15,1,1665},{30,1,2},{17,10,9818},
{42,1,3693},{8,1,442},{0,5,2169},{24,1,9818},{0,5,2169},{26,1,13320},{26,1,13320},{26,1,13320},{8,1,7395},{22,1,11384},{18,1,1997},{18,1,1997},{0,23,410},{0,21,10181},{0,25,4365},{15,1,1665},{15,1,1665},{15,1,1665},{30,1,2},{31,5,4418},{8,1,442},{8,1,442},{0,23,410},{14,9,4418},{0,23,410},{5,1,925},{23,1,338},{9,1,0},{46,1,0},{5,1,925},{9,1,925},{46,1,0},
{0,19,925},{9,1,925},{0,19,925},{38,0,6962},{38,0,6962},{38,0,6962},{38,0,6962},{2,1,832},{2,1,832},{2,1,832},{0,11,1},{0,15,2645},{0,15,2645},{26,1,65535},{36,1,27616},{18,1,11415},{2,1,6203},{26,1,65014},{4,1,20439},{16,1,1524},{0,17,1111},{0,1,45494},{0,5,19935},{11,1,5581},{13,1,2885},{45,1,1810},{47,1,50},{39,7,8901},{44,1,3373},{40,1,610},{0,35,1522},{26,1,8901},
{0,35,1522},{26,1,15080},{26,1,15080},{26,1,15080},{24,1,8661},{24,1,12846},{34,1,2905},{34,1,2905},{0,37,320},{0,3,10790},{0,39,4708},{45,1,1810},{45,1,1810},{45,1,1810},{47,1,50},{17,2,4418},{40,1,610},{40,1,610},{0,37,320},{16,1,4418},{0,37,320},{35,1,613},{37,1,232},{23,1,1},{45,1,0},{35,1,613},{23,1,613},{45,1,0},{0,3,617},{23,1,613},{0,3,617},{8,0,7946},
{8,0,7946},{8,0,7946},{8,0,7946},{18,1,1225},{18,1,1225},{18,1,1225},{0,9,4},{0,45,3033},{0,45,3033},{26,1,65535},{36,1,28505},{34,1,12706},{2,1,7117},{26,1,64677},{4,1,20609},{16,1,2082},{0,17,705},{0,1,45031},{0,5,19583},{41,1,5202},{43,1,2966},{13,1,2020},{31,1,148},{9,3,8069},{30,1,3125},{42,1,820},{0,19,1006},{31,3,8069},{0,19,1006},{42,1,16952},{42,1,16952},{42,1,16952},
{24,1,10085},{24,1,14318},{4,1,3981},{4,1,3981},{0,21,265},{0,3,11302},{0,37,5081},{13,1,2020},{13,1,2020},{13,1,2020},{31,1,148},{29,3,4418},{42,1,820},{42,1,820},{0,21,265},{43,9,4418},{0,21,265},{19,1,365},{5,1,136},{21,1,4},{11,1,1},{19,1,365},{37,1,365},{11,1,1},{0,3,377},{37,1,365},{0,3,377},{8,0,8986},{8,0,8986},{8,0,8986},{8,0,8986},{18,1,1737},
{18,1,1737},{18,1,1737},{0,23,1},{0,43,3434},{0,43,3434},{42,1,65535},{36,1,29412},{4,1,13785},{18,1,7875},{26,1,64490},{20,1,20801},{32,1,2593},{16,17,472},{0,1,43813},{0,3,17452},{9,1,4729},{11,1,2925},{11,1,2249},{45,1,281},{37,7,7322},{47,1,2941},{44,1,1037},{0,3,626},{30,1,7322},{0,3,626},{28,1,17819},{28,1,17819},{28,1,17819},{40,1,10777},{40,1,15150},{36,1,4710},{36,1,4710},
{0,35,221},{0,17,11076},{0,37,4545},{11,1,2249},{11,1,2249},{11,1,2249},{45,1,281},{39,11,4418},{44,1,1037},{44,1,1037},{0,35,185},{22,1,4418},{0,35,185},{3,1,181},{19,1,61},{35,1,1},{39,1,0},{3,1,181},{5,1,181},{39,1,0},{0,33,185},{5,1,181},{0,33,185},{40,0,9256},{40,0,9256},{40,0,9256},{40,0,9256},{34,1,2041},{34,1,2041},{34,1,2041},{16,7,2},{0,41,3188},
{0,41,3188},{42,1,65535},{38,1,30127},{36,1,14877},{4,1,8601},{42,1,64081},{36,1,20736},{18,1,3192},{2,17,302},{0,1,42247},{0,3,14278},{39,1,4387},{9,1,3051},{11,1,2465},{13,1,490},{23,17,6584},{29,1,2843},{30,1,1325},{0,33,291},{45,17,6584},{0,33,291},{14,1,18273},{14,1,18273},{14,1,18273},{42,1,11259},{26,1,15731},{22,1,5618},{22,1,5618},{32,3,221},{0,1,10637},{0,5,3849},{11,1,2465},
{11,1,2465},{11,1,2465},{13,1,490},{25,5,4418},{30,1,1325},{30,1,1325},{0,3,136},{10,1,4418},{0,3,136},{1,3,50},{33,1,18},{3,1,0},{5,1,0},{1,3,50},{3,1,50},{5,1,0},{0,17,50},{3,1,50},{0,17,50},{10,0,9256},{10,0,9256},{10,0,9256},{10,0,9256},{36,1,2228},{36,1,2228},{36,1,2228},{2,21,1},{0,9,2738},{0,9,2738},{28,1,65535},{24,1,30766},{6,1,16028},
{36,1,9391},{28,1,64158},{36,1,21269},{4,1,3821},{18,1,176},{0,1,41339},{0,3,11746},{23,1,4216},{9,1,3083},{9,1,2642},{27,1,776},{3,25,6019},{13,1,2763},{47,1,1613},{0,17,115},{29,1,6019},{0,17,115},{30,1,18737},{30,1,18737},{30,1,18737},{12,1,11820},{42,1,16379},{24,1,6357},{24,1,6357},{18,33,229},{0,1,10589},{0,3,3225},{9,1,2642},{9,1,2642},{9,1,2642},{27,1,776},{9,3,4418},
{47,1,1613},{47,1,1613},{0,17,90},{31,3,4418},{0,17,90},{1,17,2},{17,1,2},{17,1,1},{17,1,1},{1,17,2},{17,1,2},{17,1,1},{0,1,4},{17,1,2},{0,1,4},{42,0,9250},{42,0,9250},{42,0,9250},{42,0,9250},{6,1,2474},{6,1,2474},{6,1,2474},{18,35,5},{0,37,2405},{0,37,2405},{14,1,65535},{24,1,31241},{22,1,16737},{6,1,10024},{14,1,64173},{38,1,21415},{20,1,4180},
{4,1,111},{16,1,40689},{0,3,9508},{7,1,3648},{39,1,2723},{39,1,2362},{11,1,725},{37,1,5163},{13,1,2451},{29,1,1450},{0,1,16},{7,19,5163},{0,1,16},{47,1,18185},{47,1,18185},{47,1,18185},{44,1,11714},{28,1,15784},{40,1,6413},{40,1,6413},{34,17,141},{0,1,9881},{0,3,2501},{39,1,2362},{39,1,2362},{39,1,2362},{11,1,725},{37,7,3872},{29,1,1450},{29,1,1450},{0,1,16},{30,1,3872},
{0,1,16},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{12,0,9256},{12,0,9256},{12,0,9256},{12,0,9256},{38,1,2720},{38,1,2720},{38,1,2720},{4,19,2},{0,21,2041},{0,21,2041},{30,1,65535},{40,1,31563},{8,1,17236},{38,1,10554},{14,1,63701},{24,1,21372},{36,1,4441},{20,1,45},{16,1,40151},{0,33,7454},{21,1,3014},
{23,1,2261},{39,1,1962},{25,1,629},{21,17,4267},{11,1,2028},{13,1,1186},{32,1,0},{17,21,4267},{32,1,0},{47,1,17289},{47,1,17289},{47,1,17289},{14,1,11436},{14,1,14726},{26,1,6323},{26,1,6323},{20,17,62},{16,1,9032},{0,17,1923},{39,1,1962},{39,1,1962},{39,1,1962},{25,1,629},{19,11,3200},{13,1,1186},{13,1,1186},{32,1,0},{47,1,3200},{32,1,0},{1,1,0},{1,1,0},{1,1,0},
{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{44,0,9250},{44,0,9250},{44,0,9250},{44,0,9250},{24,1,2897},{24,1,2897},{24,1,2897},{20,3,5},{0,3,1717},{0,3,1717},{30,1,65535},{26,1,31988},{24,1,17745},{8,1,11181},{30,1,63430},{40,1,21435},{22,1,4810},{6,1,5},{2,1,39477},{0,33,5328},{21,1,2339},{7,1,1778},{7,1,1553},{9,1,477},{19,5,3361},
{25,1,1634},{27,1,953},{20,1,0},{37,3,3361},{20,1,0},{45,1,16354},{45,1,16354},{45,1,16354},{30,1,11202},{30,1,13722},{42,1,6189},{42,1,6189},{6,1,9},{2,1,8249},{0,17,1437},{7,1,1553},{7,1,1553},{7,1,1553},{9,1,477},{23,1,2521},{27,1,953},{27,1,953},{20,1,0},{45,1,2521},{20,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},
{0,1,0},{1,1,0},{0,1,0},{14,0,9266},{14,0,9266},{14,0,9266},{14,0,9266},{40,1,3185},{40,1,3185},{40,1,3185},{6,17,0},{0,17,1412},{0,17,1412},{47,1,65535},{42,1,32389},{10,1,18354},{40,1,11850},{30,1,63370},{40,1,21737},{8,1,5159},{22,1,24},{2,1,39380},{0,17,3675},{5,1,1843},{21,1,1394},{37,1,1241},{23,1,370},{5,1,2646},{9,1,1282},{11,1,757},{8,1,1},{9,1,2646},
{8,1,1},{45,1,15490},{45,1,15490},{45,1,15490},{47,1,10946},{47,1,12914},{42,1,6221},{42,1,6221},{38,1,10},{2,1,7753},{0,1,1225},{37,1,1241},{37,1,1241},{37,1,1241},{23,1,370},{7,1,1985},{11,1,757},{11,1,757},{8,1,1},{13,1,1985},{8,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{46,0,9248},
{46,0,9248},{46,0,9248},{46,0,9248},{26,1,3400},{26,1,3400},{26,1,3400},{38,1,10},{0,1,1225},{0,1,1225},{47,1,65535},{28,1,33179},{26,1,18917},{10,1,12588},{47,1,62997},{26,1,21996},{24,1,5521},{8,1,36},{4,1,39403},{0,17,2452},{5,1,1411},{21,1,1058},{21,1,914},{7,1,274},{35,1,2017},{23,1,939},{9,1,585},{26,1,0},{1,35,2017},{26,1,0},{29,1,14809},{29,1,14809},{29,1,14809},
{31,1,10801},{47,1,12162},{14,1,6117},{14,1,6117},{8,1,50},{20,1,7322},{0,1,1241},{21,1,914},{21,1,914},{21,1,914},{7,1,274},{35,5,1513},{9,1,585},{9,1,585},{26,1,0},{27,1,1513},{26,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{47,0,9250},{47,0,9250},{47,0,9250},{47,0,9250},{12,1,3690},
{12,1,3690},{12,1,3690},{8,1,50},{0,1,1241},{0,1,1241},{45,1,65535},{14,1,33274},{42,1,19608},{42,1,13375},{47,1,62627},{42,1,22211},{10,1,6045},{24,1,138},{36,1,39015},{0,1,1732},{35,1,1048},{5,1,766},{5,1,666},{37,1,212},{3,3,1473},{7,1,675},{23,1,410},{14,1,1},{3,3,1473},{14,1,1},{13,1,14121},{13,1,14121},{13,1,14121},{45,1,10571},{45,1,11434},{30,1,6081},{30,1,6081},
{40,1,137},{36,1,6926},{2,1,1445},{5,1,666},{5,1,666},{5,1,666},{37,1,212},{35,3,1105},{23,1,410},{23,1,410},{14,1,1},{25,1,1105},{14,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{15,0,9256},{15,0,9256},{15,0,9256},{15,0,9256},{14,1,3985},{14,1,3985},{14,1,3985},{40,1,137},{2,1,1445},
{2,1,1445},
/**** ended inlining basisu_transcoder_tables_astc.inc ****/
};
// The best selector mapping to use given a base base+inten table and used selector range for converting grayscale data.
static uint8_t g_etc1_to_astc_best_grayscale_mapping[32][8][NUM_ETC1_TO_ASTC_SELECTOR_RANGES];
#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
static const etc1_to_astc_solution g_etc1_to_astc_0_255[32 * 8 * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS * NUM_ETC1_TO_ASTC_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_astc_0_255.inc ****/
{0,16,18},{0,12,1},{0,8,0},{0,7,5},{0,10,35},{0,6,21},{0,6,9},{0,4,24},{1,4,36},{0,4,25},{0,16,18},{0,12,1},{0,8,0},{0,7,5},{5,0,35},{0,6,21},{0,6,9},{0,4,24},{10,0,35},{0,4,24},{0,7,0},{0,7,0},{0,7,0},{0,3,0},{0,4,2},{0,3,0},{0,3,0},{0,1,1},{0,2,2},{0,1,1},{0,7,0},
{0,7,0},{0,7,0},{0,3,0},{2,0,2},{0,3,0},{0,3,0},{0,1,1},{4,0,2},{0,1,1},{8,0,18},{0,12,1},{0,8,0},{0,7,5},{8,0,18},{16,0,18},{0,7,5},{0,5,18},{16,0,18},{0,5,18},{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},{3,34,36},{3,23,19},{4,17,25},
{3,16,19},{0,34,51},{0,20,18},{0,16,1},{0,13,22},{0,15,68},{0,12,33},{6,28,18},{6,21,0},{6,16,1},{5,15,3},{17,0,51},{1,19,18},{2,15,1},{0,13,22},{34,0,51},{0,13,22},{3,25,18},{3,25,18},{3,25,18},{3,14,18},{0,25,8},{0,16,1},{0,16,1},{0,10,0},{0,12,17},{0,9,5},{6,19,0},{6,19,0},{6,19,0},{6,12,0},{12,0,8},
{4,13,0},{4,13,0},{0,10,0},{25,0,8},{0,10,0},{20,0,18},{6,21,0},{8,16,0},{0,16,0},{20,0,18},{40,0,18},{0,16,0},{0,13,18},{40,0,18},{0,13,18},{3,0,18},{3,0,18},{3,0,18},{3,0,18},{0,19,0},{0,19,0},{0,19,0},{0,9,0},{0,9,4},{0,9,4},{11,42,36},{11,31,19},{12,24,24},{11,24,19},{8,42,51},{8,28,18},{8,24,1},
{7,20,22},{0,27,52},{2,21,18},{14,36,18},{14,29,0},{14,24,1},{13,23,3},{29,0,51},{9,27,18},{10,23,1},{0,21,18},{58,0,51},{0,21,18},{11,33,18},{11,33,18},{11,33,18},{11,22,18},{8,33,8},{8,24,1},{8,24,1},{8,18,0},{2,23,8},{4,18,1},{14,26,0},{14,26,0},{14,26,0},{14,20,0},{24,0,8},{11,22,0},{11,22,0},{6,18,0},{49,0,8},
{6,18,0},{32,0,18},{14,29,0},{15,24,0},{6,24,0},{32,0,18},{64,0,18},{6,24,0},{0,21,18},{64,0,18},{0,21,18},{11,0,18},{11,0,18},{11,0,18},{11,0,18},{8,27,0},{8,27,0},{8,27,0},{8,17,0},{4,19,0},{4,19,0},{19,50,36},{19,39,19},{20,32,24},{19,32,19},{16,50,51},{16,36,18},{16,32,1},{15,28,22},{7,37,51},{10,29,18},{22,43,18},
{22,36,1},{22,32,1},{21,31,3},{41,0,51},{17,35,18},{18,31,1},{8,29,18},{82,0,51},{8,29,18},{19,41,18},{19,41,18},{19,41,18},{19,30,18},{16,41,8},{16,31,1},{16,31,1},{16,26,0},{10,31,8},{12,26,1},{22,34,0},{22,34,0},{22,34,0},{22,28,0},{36,0,8},{18,30,0},{18,30,0},{14,26,0},{73,0,8},{14,26,0},{43,0,18},{20,38,0},{23,32,0},
{14,32,0},{43,0,18},{89,0,18},{14,32,0},{0,29,18},{89,0,18},{0,29,18},{19,0,18},{19,0,18},{19,0,18},{19,0,18},{16,35,0},{16,35,0},{16,35,0},{16,25,0},{12,27,0},{12,27,0},{28,59,36},{28,48,19},{29,41,24},{28,41,19},{25,59,51},{25,45,18},{25,41,1},{24,37,22},{16,46,51},{19,38,18},{31,52,18},{31,45,1},{31,41,1},{30,40,3},{54,0,51},
{24,45,18},{27,40,1},{17,38,18},{110,0,51},{17,38,18},{28,49,18},{28,49,18},{28,49,18},{28,39,18},{25,49,8},{25,40,1},{25,40,1},{25,35,0},{19,40,8},{20,35,1},{31,43,0},{31,43,0},{31,43,0},{31,37,0},{49,0,8},{27,39,0},{27,39,0},{23,35,0},{101,0,8},{23,35,0},{57,0,18},{29,47,0},{32,41,0},{23,41,0},{57,0,18},{116,0,18},{23,41,0},
{0,38,18},{116,0,18},{0,38,18},{28,0,18},{28,0,18},{28,0,18},{28,0,18},{25,43,0},{25,43,0},{25,43,0},{25,34,0},{19,37,0},{19,37,0},{36,66,36},{36,56,19},{37,49,24},{36,49,19},{33,66,51},{33,53,18},{33,49,1},{32,45,22},{23,54,51},{27,46,18},{39,60,18},{39,53,1},{39,49,1},{38,48,3},{66,0,51},{32,53,18},{35,48,1},{25,46,18},{134,0,51},
{25,46,18},{36,57,18},{36,57,18},{36,57,18},{36,47,18},{33,57,8},{33,48,1},{33,48,1},{33,43,0},{25,49,8},{28,43,1},{39,51,0},{39,51,0},{39,51,0},{39,45,0},{61,0,8},{35,47,0},{35,47,0},{31,43,0},{125,0,8},{31,43,0},{69,0,18},{37,55,0},{40,49,0},{31,49,0},{69,0,18},{140,0,18},{31,49,0},{0,46,18},{140,0,18},{0,46,18},{36,0,18},
{36,0,18},{36,0,18},{36,0,18},{33,51,0},{33,51,0},{33,51,0},{33,42,0},{27,45,0},{27,45,0},{44,74,36},{44,64,19},{45,57,24},{44,57,19},{41,74,51},{41,61,18},{41,57,1},{40,53,22},{31,62,51},{35,54,18},{47,68,18},{47,61,1},{47,57,1},{46,56,3},{78,0,51},{40,61,18},{43,56,1},{33,54,18},{158,0,51},{33,54,18},{44,65,18},{44,65,18},{44,65,18},
{44,55,18},{41,65,8},{41,56,1},{41,56,1},{41,51,0},{33,57,8},{36,51,1},{47,59,0},{47,59,0},{47,59,0},{47,53,0},{73,0,8},{43,55,0},{43,55,0},{39,51,0},{149,0,8},{39,51,0},{81,0,18},{45,63,0},{48,57,0},{39,57,0},{81,0,18},{164,0,18},{39,57,0},{0,54,18},{164,0,18},{0,54,18},{44,0,18},{44,0,18},{44,0,18},{44,0,18},{41,59,0},
{41,59,0},{41,59,0},{41,50,0},{35,53,0},{35,53,0},{52,82,36},{52,71,19},{53,65,24},{52,65,19},{49,82,51},{49,68,18},{49,65,1},{48,61,22},{39,70,51},{43,62,18},{55,76,18},{55,69,1},{55,65,1},{54,64,3},{89,0,51},{49,68,18},{51,64,1},{41,62,18},{183,0,51},{41,62,18},{52,73,18},{52,73,18},{52,73,18},{52,63,18},{49,73,8},{49,64,1},{49,64,1},
{49,59,0},{42,64,8},{44,59,1},{55,67,0},{55,67,0},{55,67,0},{55,61,0},{85,0,8},{51,63,0},{51,63,0},{47,59,0},{174,0,8},{47,59,0},{92,0,18},{54,70,0},{56,65,0},{47,65,0},{92,0,18},{189,0,18},{47,65,0},{0,62,18},{189,0,18},{0,62,18},{52,0,18},{52,0,18},{52,0,18},{52,0,18},{49,67,0},{49,67,0},{49,67,0},{49,58,0},{43,61,0},
{43,61,0},{61,91,36},{61,80,19},{62,74,24},{61,73,20},{58,91,51},{58,77,18},{58,73,2},{57,70,22},{48,79,51},{50,71,19},{64,85,18},{64,77,1},{64,74,1},{63,73,3},{103,0,51},{58,77,18},{59,74,1},{49,71,18},{210,0,51},{49,71,18},{61,82,18},{61,82,18},{61,82,18},{61,72,18},{58,82,8},{58,73,1},{58,73,1},{58,68,0},{51,73,8},{53,68,1},{64,76,0},
{64,76,0},{64,76,0},{64,70,0},{98,0,8},{60,72,0},{60,72,0},{56,68,0},{201,0,8},{56,68,0},{106,0,18},{63,79,0},{65,74,0},{55,74,0},{106,0,18},{216,0,18},{55,74,0},{0,71,18},{216,0,18},{0,71,18},{61,0,18},{61,0,18},{61,0,18},{61,0,18},{58,76,0},{58,76,0},{58,76,0},{58,67,0},{53,69,0},{53,69,0},{69,99,36},{69,88,19},{70,82,24},
{69,81,20},{66,99,51},{66,85,18},{66,81,2},{65,79,23},{56,87,51},{58,79,19},{72,93,18},{72,85,1},{72,82,1},{72,80,5},{115,0,51},{66,85,18},{67,82,1},{57,79,18},{234,0,51},{57,79,18},{69,90,18},{69,90,18},{69,90,18},{69,79,18},{66,90,8},{66,81,1},{66,81,1},{66,75,1},{59,81,8},{61,76,1},{72,84,0},{72,84,0},{72,84,0},{72,78,0},{110,0,8},
{69,79,0},{69,79,0},{63,76,0},{225,0,8},{63,76,0},{118,0,18},{71,87,0},{73,82,0},{63,82,0},{118,0,18},{240,0,18},{63,82,0},{0,79,18},{240,0,18},{0,79,18},{69,0,18},{69,0,18},{69,0,18},{69,0,18},{66,84,0},{66,84,0},{66,84,0},{66,75,0},{61,77,0},{61,77,0},{77,107,36},{77,96,19},{78,90,24},{77,89,20},{74,107,51},{74,93,18},{74,89,2},
{73,87,23},{64,95,51},{66,87,19},{80,101,18},{80,93,1},{80,90,1},{80,88,5},{127,0,51},{74,93,18},{75,90,1},{65,87,18},{254,2,51},{65,87,18},{77,98,18},{77,98,18},{77,98,18},{77,87,18},{74,98,8},{74,89,1},{74,89,1},{74,83,1},{67,89,8},{69,84,1},{80,92,0},{80,92,0},{80,92,0},{80,86,0},{122,0,8},{77,87,0},{77,87,0},{71,84,0},{249,0,8},
{71,84,0},{129,0,18},{79,95,0},{81,90,0},{71,90,0},{129,0,18},{254,5,18},{71,90,0},{0,87,18},{254,5,18},{0,87,18},{77,0,18},{77,0,18},{77,0,18},{77,0,18},{74,92,0},{74,92,0},{74,92,0},{74,83,0},{69,85,0},{69,85,0},{85,115,36},{85,104,19},{86,98,24},{85,97,20},{82,115,51},{82,101,18},{82,97,2},{81,95,23},{72,103,51},{74,95,19},{88,109,18},
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{0,255,0},{255,254,0},{0,255,0},{116,0,9248},{116,0,9248},{116,0,9248},{116,0,9248},{79,255,3170},{79,255,3170},{79,255,3170},{48,250,0},{0,248,1378},{0,248,1378},{129,255,65535},{95,255,32533},{79,255,18407},{73,255,11877},{129,255,63435},{82,255,21690},{64,255,5107},{56,255,2},{25,255,39436},{0,248,3611},{221,255,1809},{215,255,1374},{211,255,1202},{198,255,360},{255,189,2646},{192,255,1241},{180,255,745},{61,255,0},{254,223,2646},
{61,255,0},{147,255,15490},{147,255,15490},{147,255,15490},{131,255,10946},{129,255,12826},{101,255,6125},{101,255,6125},{56,255,4},{25,255,7705},{0,254,1171},{211,255,1202},{211,255,1202},{211,255,1202},{198,255,360},{255,155,1985},{180,255,745},{180,255,745},{61,255,0},{254,207,1985},{61,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{124,0,9248},
{124,0,9248},{124,0,9248},{124,0,9248},{89,255,3393},{89,255,3393},{89,255,3393},{56,255,4},{0,254,1170},{0,254,1170},{132,255,65535},{101,255,32957},{86,255,19017},{82,255,12610},{129,255,62977},{89,255,22061},{73,255,5530},{64,255,31},{34,255,39178},{0,251,2372},{224,255,1376},{218,255,1044},{218,255,900},{204,255,272},{255,198,2017},{198,255,937},{189,255,562},{86,255,0},{255,227,2017},{86,255,0},{153,255,14754},{153,255,14754},{153,255,14754},
{137,255,10742},{135,255,12066},{107,255,6089},{107,255,6089},{67,255,45},{37,255,7233},{1,255,1184},{218,255,900},{218,255,900},{218,255,900},{204,255,272},{255,167,1513},{189,255,562},{189,255,562},{86,255,0},{253,213,1513},{86,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{132,0,9248},{132,0,9248},{132,0,9248},{132,0,9248},{98,255,3656},
{98,255,3656},{98,255,3656},{67,255,45},{1,255,1184},{1,255,1184},{138,255,65535},{107,255,33448},{95,255,19729},{89,255,13446},{135,255,62717},{95,255,22307},{79,255,6021},{73,255,105},{40,255,38959},{0,254,1627},{230,255,996},{224,255,756},{221,255,653},{213,255,194},{255,204,1473},{207,255,675},{198,255,405},{110,255,0},{255,230,1473},{110,255,0},{162,255,14060},{162,255,14060},{162,255,14060},{146,255,10545},{141,255,11378},{116,255,6077},{116,255,6077},
{76,255,137},{40,255,6873},{7,255,1412},{221,255,653},{221,255,653},{221,255,653},{213,255,194},{255,180,1105},{198,255,405},{198,255,405},{110,255,0},{255,218,1105},{110,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{140,0,9248},{140,0,9248},{140,0,9248},{140,0,9248},{107,255,3929},{107,255,3929},{107,255,3929},{76,255,137},{7,255,1412},
{7,255,1412},
/**** ended inlining basisu_transcoder_tables_astc_0_255.inc ****/
};
static uint8_t g_etc1_to_astc_best_grayscale_mapping_0_255[32][8][NUM_ETC1_TO_ASTC_SELECTOR_RANGES];
#endif
static uint32_t g_ise_to_unquant[48];
#if BASISD_WRITE_NEW_ASTC_TABLES
static void create_etc1_to_astc_conversion_table_0_47()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_astc.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_astc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_astc_selector_ranges[sr].m_high;
uint32_t mapping_best_low[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t mapping_best_high[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint64_t mapping_best_err[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint64_t highest_best_err = 0;
for (uint32_t m = 0; m < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 47; hi++)
{
for (uint32_t lo = 0; lo <= 47; lo++)
{
uint32_t colors[4];
for (uint32_t s = 0; s < 4; s++)
{
uint32_t s_scaled = s | (s << 2) | (s << 4);
if (s_scaled > 32)
s_scaled++;
uint32_t c0 = g_ise_to_unquant[lo] | (g_ise_to_unquant[lo] << 8);
uint32_t c1 = g_ise_to_unquant[hi] | (g_ise_to_unquant[hi] << 8);
colors[s] = ((c0 * (64 - s_scaled) + c1 * s_scaled + 32) / 64) >> 8;
}
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_astc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 8;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
mapping_best_low[m] = best_lo;
mapping_best_high[m] = best_hi;
mapping_best_err[m] = best_err;
highest_best_err = basisu::maximum(highest_best_err, best_err);
} // m
for (uint32_t m = 0; m < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; m++)
{
uint64_t err = mapping_best_err[m];
err = basisu::minimum<uint64_t>(err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", mapping_best_low[m], mapping_best_high[m], (uint32_t)err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
static void create_etc1_to_astc_conversion_table_0_255()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_astc_0_255.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_astc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_astc_selector_ranges[sr].m_high;
uint32_t mapping_best_low[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t mapping_best_high[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint64_t mapping_best_err[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint64_t highest_best_err = 0;
for (uint32_t m = 0; m < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 255; hi++)
{
for (uint32_t lo = 0; lo <= 255; lo++)
{
uint32_t colors[4];
for (uint32_t s = 0; s < 4; s++)
{
uint32_t s_scaled = s | (s << 2) | (s << 4);
if (s_scaled > 32)
s_scaled++;
uint32_t c0 = lo | (lo << 8);
uint32_t c1 = hi | (hi << 8);
colors[s] = ((c0 * (64 - s_scaled) + c1 * s_scaled + 32) / 64) >> 8;
}
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_astc_selector_mappings[m][s]];
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
int err_scale = 1;
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 8;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
mapping_best_low[m] = best_lo;
mapping_best_high[m] = best_hi;
mapping_best_err[m] = best_err;
highest_best_err = basisu::maximum(highest_best_err, best_err);
} // m
for (uint32_t m = 0; m < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; m++)
{
uint64_t err = mapping_best_err[m];
err = basisu::minimum<uint64_t>(err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", mapping_best_low[m], mapping_best_high[m], (uint32_t)err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
#endif
#endif
#if BASISD_SUPPORT_UASTC || BASISD_SUPPORT_ASTC
// Table encodes 5 trits to 8 output bits. 3^5 entries.
// Inverse of the trit bit manipulation process in https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-integer-sequence-encoding
static const uint8_t g_astc_trit_encode[243] = { 0, 1, 2, 4, 5, 6, 8, 9, 10, 16, 17, 18, 20, 21, 22, 24, 25, 26, 3, 7, 11, 19, 23, 27, 12, 13, 14, 32, 33, 34, 36, 37, 38, 40, 41, 42, 48, 49, 50, 52, 53, 54, 56, 57, 58, 35, 39,
43, 51, 55, 59, 44, 45, 46, 64, 65, 66, 68, 69, 70, 72, 73, 74, 80, 81, 82, 84, 85, 86, 88, 89, 90, 67, 71, 75, 83, 87, 91, 76, 77, 78, 128, 129, 130, 132, 133, 134, 136, 137, 138, 144, 145, 146, 148, 149, 150, 152, 153, 154,
131, 135, 139, 147, 151, 155, 140, 141, 142, 160, 161, 162, 164, 165, 166, 168, 169, 170, 176, 177, 178, 180, 181, 182, 184, 185, 186, 163, 167, 171, 179, 183, 187, 172, 173, 174, 192, 193, 194, 196, 197, 198, 200, 201, 202,
208, 209, 210, 212, 213, 214, 216, 217, 218, 195, 199, 203, 211, 215, 219, 204, 205, 206, 96, 97, 98, 100, 101, 102, 104, 105, 106, 112, 113, 114, 116, 117, 118, 120, 121, 122, 99, 103, 107, 115, 119, 123, 108, 109, 110, 224,
225, 226, 228, 229, 230, 232, 233, 234, 240, 241, 242, 244, 245, 246, 248, 249, 250, 227, 231, 235, 243, 247, 251, 236, 237, 238, 28, 29, 30, 60, 61, 62, 92, 93, 94, 156, 157, 158, 188, 189, 190, 220, 221, 222, 31, 63, 95, 159,
191, 223, 124, 125, 126 };
// Extracts bits [low,high]
static inline uint32_t astc_extract_bits(uint32_t bits, int low, int high)
{
return (bits >> low) & ((1 << (high - low + 1)) - 1);
}
// Writes bits to output in an endian safe way
static inline void astc_set_bits(uint32_t* pOutput, int& bit_pos, uint32_t value, uint32_t total_bits)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
while (total_bits)
{
const uint32_t bits_to_write = std::min<int>(total_bits, 8 - (bit_pos & 7));
pBytes[bit_pos >> 3] |= static_cast<uint8_t>(value << (bit_pos & 7));
bit_pos += bits_to_write;
total_bits -= bits_to_write;
value >>= bits_to_write;
}
}
// Encodes 5 values to output, usable for any range that uses trits and bits
static void astc_encode_trits(uint32_t* pOutput, const uint8_t* pValues, int& bit_pos, int n)
{
// First extract the trits and the bits from the 5 input values
int trits = 0, bits[5];
const uint32_t bit_mask = (1 << n) - 1;
for (int i = 0; i < 5; i++)
{
static const int s_muls[5] = { 1, 3, 9, 27, 81 };
const int t = pValues[i] >> n;
trits += t * s_muls[i];
bits[i] = pValues[i] & bit_mask;
}
// Encode the trits, by inverting the bit manipulations done by the decoder, converting 5 trits into 8-bits.
// See https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-integer-sequence-encoding
assert(trits < 243);
const int T = g_astc_trit_encode[trits];
// Now interleave the 8 encoded trit bits with the bits to form the encoded output. See table 94.
astc_set_bits(pOutput, bit_pos, bits[0] | (astc_extract_bits(T, 0, 1) << n) | (bits[1] << (2 + n)), n * 2 + 2);
astc_set_bits(pOutput, bit_pos, astc_extract_bits(T, 2, 3) | (bits[2] << 2) | (astc_extract_bits(T, 4, 4) << (2 + n)) | (bits[3] << (3 + n)) | (astc_extract_bits(T, 5, 6) << (3 + n * 2)) |
(bits[4] << (5 + n * 2)) | (astc_extract_bits(T, 7, 7) << (5 + n * 3)), n * 3 + 6);
}
#endif // #if BASISD_SUPPORT_UASTC || BASISD_SUPPORT_ASTC
#if BASISD_SUPPORT_ASTC
struct astc_block_params
{
// 2 groups of 5, but only a max of 8 are used (RRGGBBAA00)
uint8_t m_endpoints[10];
uint8_t m_weights[32];
};
// Packs a single format ASTC block using Color Endpoint Mode 12 (LDR RGBA direct), endpoint BISE range 13, 2-bit weights (range 2).
// We're always going to output blocks containing alpha, even if the input doesn't have alpha, for simplicity.
// Each block always has 4x4 weights, uses range 13 BISE encoding on the endpoints (0-47), and each weight ranges from 0-3. This encoding should be roughly equal in quality vs. BC1 for color.
// 8 total endpoints, stored as RGBA LH LH LH LH order, each ranging from 0-47.
// Note the input [0,47] endpoint values are not linear - they are encoded as outlined in the ASTC spec:
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-endpoint-unquantization
// 32 total weights, stored as 16 CA CA, each ranging from 0-3.
static void astc_pack_block_cem_12_weight_range2(uint32_t *pOutput, const astc_block_params* pBlock)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
// Write constant block mode, color component selector, number of partitions, color endpoint mode
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#_block_mode
pBytes[0] = 0x42; pBytes[1] = 0x84; pBytes[2] = 0x01; pBytes[3] = 0x00;
pBytes[4] = 0x00; pBytes[5] = 0x00; pBytes[6] = 0x00; pBytes[7] = 0xc0;
pOutput[2] = 0;
pOutput[3] = 0;
// Pack 8 endpoints (each ranging between [0,47]) using BISE starting at bit 17
int bit_pos = 17;
astc_encode_trits(pOutput, pBlock->m_endpoints, bit_pos, 4);
astc_encode_trits(pOutput, pBlock->m_endpoints + 5, bit_pos, 4);
// Pack 32 2-bit weights, which are stored from the top down into the block in opposite bit order.
for (uint32_t i = 0; i < 32; i++)
{
static const uint8_t s_reverse_bits[4] = { 0, 2, 1, 3 };
const uint32_t ofs = 126 - (i * 2);
pBytes[ofs >> 3] |= (s_reverse_bits[pBlock->m_weights[i]] << (ofs & 7));
}
}
// CEM mode 12 (LDR RGBA Direct), 8-bit endpoints, 1-bit weights
// This ASTC mode is basically block truncation coding (BTC) using 1-bit weights and 8-bit/component endpoints - very convenient.
static void astc_pack_block_cem_12_weight_range0(uint32_t* pOutput, const astc_block_params* pBlock)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
// Write constant block mode, color component selector, number of partitions, color endpoint mode
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#_block_mode
pBytes[0] = 0x41; pBytes[1] = 0x84; pBytes[2] = 0x01; pBytes[3] = 0x00;
pOutput[1] = 0;
pBytes[8] = 0x00; pBytes[9] = 0x00; pBytes[10] = 0x00; pBytes[11] = 0xc0;
pOutput[3] = 0;
// Pack 8 endpoints (each ranging between [0,255]) as 8-bits starting at bit 17
int bit_pos = 17;
for (uint32_t i = 0; i < 8; i++)
astc_set_bits(pOutput, bit_pos, pBlock->m_endpoints[i], 8);
// Pack 32 1-bit weights, which are stored from the top down into the block in opposite bit order.
for (uint32_t i = 0; i < 32; i++)
{
const uint32_t ofs = 127 - i;
pBytes[ofs >> 3] |= (pBlock->m_weights[i] << (ofs & 7));
}
}
#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
// Optional 8-bit endpoint packing functions.
// CEM mode 4 (LDR Luminance+Alpha Direct), 8-bit endpoints, 2 bit weights
static void astc_pack_block_cem_4_weight_range2(uint32_t* pOutput, const astc_block_params* pBlock)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
// Write constant block mode, color component selector, number of partitions, color endpoint mode
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#_block_mode
pBytes[0] = 0x42; pBytes[1] = 0x84; pBytes[2] = 0x00; pBytes[3] = 0x00;
pBytes[4] = 0x00; pBytes[5] = 0x00; pBytes[6] = 0x00; pBytes[7] = 0xc0;
pOutput[2] = 0;
pOutput[3] = 0;
// Pack 4 endpoints (each ranging between [0,255]) as 8-bits starting at bit 17
int bit_pos = 17;
for (uint32_t i = 0; i < 4; i++)
astc_set_bits(pOutput, bit_pos, pBlock->m_endpoints[i], 8);
// Pack 32 2-bit weights, which are stored from the top down into the block in opposite bit order.
for (uint32_t i = 0; i < 32; i++)
{
static const uint8_t s_reverse_bits[4] = { 0, 2, 1, 3 };
const uint32_t ofs = 126 - (i * 2);
pBytes[ofs >> 3] |= (s_reverse_bits[pBlock->m_weights[i]] << (ofs & 7));
}
}
// CEM mode 8 (LDR RGB Direct), 8-bit endpoints, 2 bit weights
static void astc_pack_block_cem_8_weight_range2(uint32_t* pOutput, const astc_block_params* pBlock)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
// Write constant block mode, color component selector, number of partitions, color endpoint mode
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#_block_mode
pBytes[0] = 0x42; pBytes[1] = 0x00; pBytes[2] = 0x01; pBytes[3] = 0x00;
pOutput[1] = 0;
pOutput[2] = 0;
pOutput[3] = 0;
// Pack 6 endpoints (each ranging between [0,255]) as 8-bits starting at bit 17
int bit_pos = 17;
for (uint32_t i = 0; i < 6; i++)
astc_set_bits(pOutput, bit_pos, pBlock->m_endpoints[i], 8);
// Pack 16 2-bit weights, which are stored from the top down into the block in opposite bit order.
for (uint32_t i = 0; i < 16; i++)
{
static const uint8_t s_reverse_bits[4] = { 0, 2, 1, 3 };
const uint32_t ofs = 126 - (i * 2);
pBytes[ofs >> 3] |= (s_reverse_bits[pBlock->m_weights[i]] << (ofs & 7));
}
}
#endif
// Optimal quantized [0,47] entry to use given [0,255] input
static uint8_t g_astc_single_color_encoding_0[256];
// Optimal quantized [0,47] low/high values given [0,255] input assuming a selector of 1
static struct
{
uint8_t m_lo, m_hi;
} g_astc_single_color_encoding_1[256];
static void transcoder_init_astc()
{
for (uint32_t base_color = 0; base_color < 32; base_color++)
{
for (uint32_t inten_table = 0; inten_table < 8; inten_table++)
{
for (uint32_t range_index = 0; range_index < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; range_index++)
{
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc[(inten_table * 32 + base_color) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + range_index * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t best_mapping = 0;
uint32_t best_err = UINT32_MAX;
for (uint32_t mapping_index = 0; mapping_index < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; mapping_index++)
{
if (pTable_g[mapping_index].m_err < best_err)
{
best_err = pTable_g[mapping_index].m_err;
best_mapping = mapping_index;
}
}
g_etc1_to_astc_best_grayscale_mapping[base_color][inten_table][range_index] = static_cast<uint8_t>(best_mapping);
}
}
}
#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
for (uint32_t base_color = 0; base_color < 32; base_color++)
{
for (uint32_t inten_table = 0; inten_table < 8; inten_table++)
{
for (uint32_t range_index = 0; range_index < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; range_index++)
{
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + range_index * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t best_mapping = 0;
uint32_t best_err = UINT32_MAX;
for (uint32_t mapping_index = 0; mapping_index < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; mapping_index++)
{
if (pTable_g[mapping_index].m_err < best_err)
{
best_err = pTable_g[mapping_index].m_err;
best_mapping = mapping_index;
}
}
g_etc1_to_astc_best_grayscale_mapping_0_255[base_color][inten_table][range_index] = static_cast<uint8_t>(best_mapping);
}
}
}
#endif
for (uint32_t i = 0; i < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1_to_astc_selector_ranges[i].m_low;
uint32_t h = g_etc1_to_astc_selector_ranges[i].m_high;
g_etc1_to_astc_selector_range_index[l][h] = i;
}
// Endpoint dequantization, see:
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-endpoint-unquantization
for (uint32_t trit = 0; trit < 3; trit++)
{
for (uint32_t bit = 0; bit < 16; bit++)
{
const uint32_t A = (bit & 1) ? 511 : 0;
const uint32_t B = (bit >> 1) | ((bit >> 1) << 6);
const uint32_t C = 22;
const uint32_t D = trit;
uint32_t unq = D * C + B;
unq = unq ^ A;
unq = (A & 0x80) | (unq >> 2);
g_ise_to_unquant[bit | (trit << 4)] = unq;
}
}
// Compute table used for optimal single color encoding.
for (int i = 0; i < 256; i++)
{
int lowest_e = INT_MAX;
for (int lo = 0; lo < 48; lo++)
{
for (int hi = 0; hi < 48; hi++)
{
const int lo_v = g_ise_to_unquant[lo];
const int hi_v = g_ise_to_unquant[hi];
int l = lo_v | (lo_v << 8);
int h = hi_v | (hi_v << 8);
int v = ((l * (64 - 21) + (h * 21) + 32) / 64) >> 8;
int e = abs(v - i);
if (e < lowest_e)
{
g_astc_single_color_encoding_1[i].m_hi = static_cast<uint8_t>(hi);
g_astc_single_color_encoding_1[i].m_lo = static_cast<uint8_t>(lo);
lowest_e = e;
}
} // hi
} // lo
}
for (int i = 0; i < 256; i++)
{
int lowest_e = INT_MAX;
for (int lo = 0; lo < 48; lo++)
{
const int lo_v = g_ise_to_unquant[lo];
int e = abs(lo_v - i);
if (e < lowest_e)
{
g_astc_single_color_encoding_0[i] = static_cast<uint8_t>(lo);
lowest_e = e;
}
} // lo
}
}
// Converts opaque or color+alpha ETC1S block to ASTC 4x4.
// This function tries to use the best ASTC mode given the block's actual contents.
static void convert_etc1s_to_astc_4x4(void* pDst_block, const endpoint* pEndpoints, const selector* pSelector,
bool transcode_alpha, const endpoint *pEndpoint_codebook, const selector *pSelector_codebook)
{
astc_block_params blk;
blk.m_endpoints[8] = 0;
blk.m_endpoints[9] = 0;
int constant_alpha_val = 255;
int num_unique_alpha_selectors = 1;
if (transcode_alpha)
{
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pDst_block)[1]];
num_unique_alpha_selectors = alpha_selectors.m_num_unique_selectors;
if (num_unique_alpha_selectors == 1)
{
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pDst_block)[0]];
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
constant_alpha_val = alpha_block_colors[alpha_selectors.m_lo_selector];
}
}
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
// Handle solid color or BTC blocks, which can always be encoded from ETC1S to ASTC losslessly.
if ((pSelector->m_num_unique_selectors == 1) && (num_unique_alpha_selectors == 1))
{
// Both color and alpha are constant, write a solid color block and exit.
// See https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-void-extent-blocks
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
uint32_t* pOutput = static_cast<uint32_t*>(pDst_block);
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pDst_block);
pBytes[0] = 0xfc; pBytes[1] = 0xfd; pBytes[2] = 0xff; pBytes[3] = 0xff;
pOutput[1] = 0xffffffff;
pOutput[2] = 0;
pOutput[3] = 0;
int bit_pos = 64;
astc_set_bits(pOutput, bit_pos, r | (r << 8), 16);
astc_set_bits(pOutput, bit_pos, g | (g << 8), 16);
astc_set_bits(pOutput, bit_pos, b | (b << 8), 16);
astc_set_bits(pOutput, bit_pos, constant_alpha_val | (constant_alpha_val << 8), 16);
return;
}
else if ((pSelector->m_num_unique_selectors <= 2) && (num_unique_alpha_selectors <= 2))
{
// Both color and alpha use <= 2 unique selectors each.
// Use block truncation coding, which is lossless with ASTC (8-bit endpoints, 1-bit weights).
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
blk.m_endpoints[0] = block_colors[low_selector].r;
blk.m_endpoints[2] = block_colors[low_selector].g;
blk.m_endpoints[4] = block_colors[low_selector].b;
blk.m_endpoints[1] = block_colors[high_selector].r;
blk.m_endpoints[3] = block_colors[high_selector].g;
blk.m_endpoints[5] = block_colors[high_selector].b;
int s0 = blk.m_endpoints[0] + blk.m_endpoints[2] + blk.m_endpoints[4];
int s1 = blk.m_endpoints[1] + blk.m_endpoints[3] + blk.m_endpoints[5];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
if (transcode_alpha)
{
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pDst_block)[0]];
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pDst_block)[1]];
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
const uint32_t alpha_low_selector = alpha_selectors.m_lo_selector;
const uint32_t alpha_high_selector = alpha_selectors.m_hi_selector;
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
blk.m_endpoints[6] = static_cast<uint8_t>(alpha_block_colors[alpha_low_selector]);
blk.m_endpoints[7] = static_cast<uint8_t>(alpha_block_colors[alpha_high_selector]);
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = alpha_selectors.get_selector(x, y);
s = (s == alpha_high_selector) ? 1 : 0;
blk.m_weights[(x + y * 4) * 2 + 1] = static_cast<uint8_t>(s);
} // x
} // y
}
else
{
blk.m_endpoints[6] = 255;
blk.m_endpoints[7] = 255;
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2 + 1] = 0;
}
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
s = (s == high_selector) ? 1 : 0;
if (invert)
s = 1 - s;
blk.m_weights[(x + y * 4) * 2] = static_cast<uint8_t>(s);
} // x
} // y
astc_pack_block_cem_12_weight_range0(reinterpret_cast<uint32_t*>(pDst_block), &blk);
return;
}
// Either alpha and/or color use > 2 unique selectors each, so we must do something more complex.
#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
// The optional higher quality modes use 8-bits endpoints vs. [0,47] endpoints.
// If the block's base color is grayscale, all pixels are grayscale, so encode the block as Luminance+Alpha.
if ((base_color.r == base_color.g) && (base_color.r == base_color.b))
{
if (transcode_alpha)
{
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pDst_block)[0]];
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pDst_block)[1]];
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
const uint32_t alpha_low_selector = alpha_selectors.m_lo_selector;
const uint32_t alpha_high_selector = alpha_selectors.m_hi_selector;
if (num_unique_alpha_selectors <= 2)
{
// Simple alpha block with only 1 or 2 unique values, so use BTC. This is lossless.
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
blk.m_endpoints[2] = static_cast<uint8_t>(alpha_block_colors[alpha_low_selector]);
blk.m_endpoints[3] = static_cast<uint8_t>(alpha_block_colors[alpha_high_selector]);
for (uint32_t i = 0; i < 16; i++)
{
uint32_t s = alpha_selectors.get_selector(i & 3, i >> 2);
blk.m_weights[i * 2 + 1] = (s == alpha_high_selector) ? 3 : 0;
}
}
else
{
// Convert ETC1S alpha
const uint32_t alpha_selector_range_table = g_etc1_to_astc_selector_range_index[alpha_low_selector][alpha_high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc_0_255[(alpha_inten_table * 32 + alpha_base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + alpha_selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const uint32_t best_mapping = g_etc1_to_astc_best_grayscale_mapping_0_255[alpha_base_color.g][alpha_inten_table][alpha_selector_range_table];
blk.m_endpoints[2] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[3] = pTable_g[best_mapping].m_hi;
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = alpha_selectors.get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
blk.m_weights[(x + y * 4) * 2 + 1] = static_cast<uint8_t>(as);
} // x
} // y
}
}
else
{
// No alpha slice - set output alpha to all 255's
blk.m_endpoints[2] = 255;
blk.m_endpoints[3] = 255;
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2 + 1] = 0;
}
if (pSelector->m_num_unique_selectors <= 2)
{
// Simple color block with only 1 or 2 unique values, so use BTC. This is lossless.
int block_colors[4];
decoder_etc_block::get_block_colors5_g(block_colors, base_color, inten_table);
blk.m_endpoints[0] = static_cast<uint8_t>(block_colors[low_selector]);
blk.m_endpoints[1] = static_cast<uint8_t>(block_colors[high_selector]);
for (uint32_t i = 0; i < 16; i++)
{
uint32_t s = pSelector->get_selector(i & 3, i >> 2);
blk.m_weights[i * 2] = (s == high_selector) ? 3 : 0;
}
}
else
{
// Convert ETC1S alpha
const uint32_t selector_range_table = g_etc1_to_astc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const uint32_t best_mapping = g_etc1_to_astc_best_grayscale_mapping_0_255[base_color.g][inten_table][selector_range_table];
blk.m_endpoints[0] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[1] = pTable_g[best_mapping].m_hi;
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
blk.m_weights[(x + y * 4) * 2] = static_cast<uint8_t>(as);
} // x
} // y
}
astc_pack_block_cem_4_weight_range2(reinterpret_cast<uint32_t*>(pDst_block), &blk);
return;
}
// The block isn't grayscale and it uses > 2 unique selectors for opaque and/or alpha.
// Check for fully opaque blocks, if so use 8-bit endpoints for slightly higher opaque quality (higher than BC1, but lower than BC7 mode 6 opaque).
if ((num_unique_alpha_selectors == 1) && (constant_alpha_val == 255))
{
// Convert ETC1S color
const uint32_t selector_range_table = g_etc1_to_astc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_r = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color.r) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const etc1_to_astc_solution* pTable_b = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color.b) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
blk.m_endpoints[0] = pTable_r[best_mapping].m_lo;
blk.m_endpoints[1] = pTable_r[best_mapping].m_hi;
blk.m_endpoints[2] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[3] = pTable_g[best_mapping].m_hi;
blk.m_endpoints[4] = pTable_b[best_mapping].m_lo;
blk.m_endpoints[5] = pTable_b[best_mapping].m_hi;
int s0 = blk.m_endpoints[0] + blk.m_endpoints[2] + blk.m_endpoints[4];
int s1 = blk.m_endpoints[1] + blk.m_endpoints[3] + blk.m_endpoints[5];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
if (invert)
as = 3 - as;
blk.m_weights[x + y * 4] = static_cast<uint8_t>(as);
} // x
} // y
// Now pack to ASTC
astc_pack_block_cem_8_weight_range2(reinterpret_cast<uint32_t*>(pDst_block), &blk);
return;
}
#endif //#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
// Nothing else worked, so fall back to CEM Mode 12 (LDR RGBA Direct), [0,47] endpoints, weight range 2 (2-bit weights), dual planes.
// This mode can handle everything, but at slightly less quality than BC1.
if (transcode_alpha)
{
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pDst_block)[0]];
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pDst_block)[1]];
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
const uint32_t alpha_low_selector = alpha_selectors.m_lo_selector;
const uint32_t alpha_high_selector = alpha_selectors.m_hi_selector;
if (alpha_low_selector == alpha_high_selector)
{
// Solid alpha block - use precomputed tables.
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
const uint32_t g = alpha_block_colors[alpha_low_selector];
blk.m_endpoints[6] = g_astc_single_color_encoding_1[g].m_lo;
blk.m_endpoints[7] = g_astc_single_color_encoding_1[g].m_hi;
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2 + 1] = 1;
}
else if ((alpha_inten_table >= 7) && (alpha_selectors.m_num_unique_selectors == 2) && (alpha_low_selector == 0) && (alpha_high_selector == 3))
{
// Handle outlier case where only the two outer colors are used with inten table 7.
color32 alpha_block_colors[4];
decoder_etc_block::get_block_colors5(alpha_block_colors, alpha_base_color, alpha_inten_table);
const uint32_t g0 = alpha_block_colors[0].g;
const uint32_t g1 = alpha_block_colors[3].g;
blk.m_endpoints[6] = g_astc_single_color_encoding_0[g0];
blk.m_endpoints[7] = g_astc_single_color_encoding_0[g1];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = alpha_selectors.get_selector(x, y);
uint32_t as = (s == alpha_high_selector) ? 3 : 0;
blk.m_weights[(x + y * 4) * 2 + 1] = static_cast<uint8_t>(as);
} // x
} // y
}
else
{
// Convert ETC1S alpha
const uint32_t alpha_selector_range_table = g_etc1_to_astc_selector_range_index[alpha_low_selector][alpha_high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc[(alpha_inten_table * 32 + alpha_base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + alpha_selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const uint32_t best_mapping = g_etc1_to_astc_best_grayscale_mapping[alpha_base_color.g][alpha_inten_table][alpha_selector_range_table];
blk.m_endpoints[6] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[7] = pTable_g[best_mapping].m_hi;
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = alpha_selectors.get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
blk.m_weights[(x + y * 4) * 2 + 1] = static_cast<uint8_t>(as);
} // x
} // y
}
}
else
{
// No alpha slice - set output alpha to all 255's
// 1 is 255 when dequantized
blk.m_endpoints[6] = 1;
blk.m_endpoints[7] = 1;
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2 + 1] = 0;
}
if (low_selector == high_selector)
{
// Solid color block - use precomputed tables of optimal endpoints assuming selector weights are all 1.
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r = block_colors[low_selector].r;
const uint32_t g = block_colors[low_selector].g;
const uint32_t b = block_colors[low_selector].b;
blk.m_endpoints[0] = g_astc_single_color_encoding_1[r].m_lo;
blk.m_endpoints[1] = g_astc_single_color_encoding_1[r].m_hi;
blk.m_endpoints[2] = g_astc_single_color_encoding_1[g].m_lo;
blk.m_endpoints[3] = g_astc_single_color_encoding_1[g].m_hi;
blk.m_endpoints[4] = g_astc_single_color_encoding_1[b].m_lo;
blk.m_endpoints[5] = g_astc_single_color_encoding_1[b].m_hi;
int s0 = g_ise_to_unquant[blk.m_endpoints[0]] + g_ise_to_unquant[blk.m_endpoints[2]] + g_ise_to_unquant[blk.m_endpoints[4]];
int s1 = g_ise_to_unquant[blk.m_endpoints[1]] + g_ise_to_unquant[blk.m_endpoints[3]] + g_ise_to_unquant[blk.m_endpoints[5]];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2] = invert ? 2 : 1;
}
else if ((inten_table >= 7) && (pSelector->m_num_unique_selectors == 2) && (pSelector->m_lo_selector == 0) && (pSelector->m_hi_selector == 3))
{
// Handle outlier case where only the two outer colors are used with inten table 7.
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[0].r;
const uint32_t g0 = block_colors[0].g;
const uint32_t b0 = block_colors[0].b;
const uint32_t r1 = block_colors[3].r;
const uint32_t g1 = block_colors[3].g;
const uint32_t b1 = block_colors[3].b;
blk.m_endpoints[0] = g_astc_single_color_encoding_0[r0];
blk.m_endpoints[1] = g_astc_single_color_encoding_0[r1];
blk.m_endpoints[2] = g_astc_single_color_encoding_0[g0];
blk.m_endpoints[3] = g_astc_single_color_encoding_0[g1];
blk.m_endpoints[4] = g_astc_single_color_encoding_0[b0];
blk.m_endpoints[5] = g_astc_single_color_encoding_0[b1];
int s0 = g_ise_to_unquant[blk.m_endpoints[0]] + g_ise_to_unquant[blk.m_endpoints[2]] + g_ise_to_unquant[blk.m_endpoints[4]];
int s1 = g_ise_to_unquant[blk.m_endpoints[1]] + g_ise_to_unquant[blk.m_endpoints[3]] + g_ise_to_unquant[blk.m_endpoints[5]];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t as = (s == low_selector) ? 0 : 3;
if (invert)
as = 3 - as;
blk.m_weights[(x + y * 4) * 2] = static_cast<uint8_t>(as);
} // x
} // y
}
else
{
// Convert ETC1S color
const uint32_t selector_range_table = g_etc1_to_astc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_r = &g_etc1_to_astc[(inten_table * 32 + base_color.r) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc[(inten_table * 32 + base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const etc1_to_astc_solution* pTable_b = &g_etc1_to_astc[(inten_table * 32 + base_color.b) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
blk.m_endpoints[0] = pTable_r[best_mapping].m_lo;
blk.m_endpoints[1] = pTable_r[best_mapping].m_hi;
blk.m_endpoints[2] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[3] = pTable_g[best_mapping].m_hi;
blk.m_endpoints[4] = pTable_b[best_mapping].m_lo;
blk.m_endpoints[5] = pTable_b[best_mapping].m_hi;
int s0 = g_ise_to_unquant[blk.m_endpoints[0]] + g_ise_to_unquant[blk.m_endpoints[2]] + g_ise_to_unquant[blk.m_endpoints[4]];
int s1 = g_ise_to_unquant[blk.m_endpoints[1]] + g_ise_to_unquant[blk.m_endpoints[3]] + g_ise_to_unquant[blk.m_endpoints[5]];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
if (invert)
as = 3 - as;
blk.m_weights[(x + y * 4) * 2] = static_cast<uint8_t>(as);
} // x
} // y
}
// Now pack to ASTC
astc_pack_block_cem_12_weight_range2(reinterpret_cast<uint32_t *>(pDst_block), &blk);
}
#endif
#if BASISD_SUPPORT_ATC
// ATC and PVRTC2 both use these tables.
struct etc1s_to_atc_solution
{
uint8_t m_lo;
uint8_t m_hi;
uint16_t m_err;
};
static dxt_selector_range g_etc1s_to_atc_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 },
};
const uint32_t NUM_ETC1S_TO_ATC_SELECTOR_RANGES = sizeof(g_etc1s_to_atc_selector_ranges) / sizeof(g_etc1s_to_atc_selector_ranges[0]);
static uint32_t g_etc1s_to_atc_selector_range_index[4][4];
const uint32_t NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS = 10;
static const uint8_t g_etc1s_to_atc_selector_mappings[NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS][4] =
{
{ 0, 0, 1, 1 },
{ 0, 0, 1, 2 },
{ 0, 0, 1, 3 },
{ 0, 0, 2, 3 },
{ 0, 1, 1, 1 },
{ 0, 1, 2, 2 },
{ 0, 1, 2, 3 }, //6 - identity
{ 0, 2, 3, 3 },
{ 1, 2, 2, 2 },
{ 1, 2, 3, 3 },
};
const uint32_t ATC_IDENTITY_SELECTOR_MAPPING_INDEX = 6;
#if BASISD_SUPPORT_PVRTC2
static const etc1s_to_atc_solution g_etc1s_to_pvrtc2_45[32 * 8 * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS * NUM_ETC1S_TO_ATC_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_pvrtc2_45.inc ****/
{0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,1,35},{0,1,27},{0,1,18},{0,1,61},{0,1,52},{0,0,68},{0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,1,35},{0,1,27},{0,1,18},{0,1,61},{0,1,43},{0,1,61},{0,1,1},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,2,20},{0,1,18},{0,1,9},{0,1,36},{0,1,18},{0,1,36},{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},{0,4,56},{0,3,38},{0,2,52},
{0,2,36},{0,4,56},{0,3,35},{0,2,0},{0,2,52},{0,2,88},{0,1,78},{0,4,56},{0,3,38},{0,2,52},{0,2,36},{1,0,52},{0,3,35},{0,2,0},{0,2,52},{1,1,51},{0,2,52},{0,3,37},{0,3,37},{0,3,37},{0,2,36},{0,3,10},{0,2,0},{0,2,0},{0,1,5},{0,1,35},{0,1,14},{0,3,37},{0,3,37},{0,3,37},{0,2,36},{0,3,10},
{0,2,0},{0,2,0},{0,1,5},{1,0,16},{0,1,5},{1,1,18},{0,3,2},{0,2,16},{0,2,0},{1,1,18},{2,0,20},{0,2,0},{0,2,36},{2,0,20},{0,2,36},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,10},{0,1,10},{1,4,88},{1,3,78},{1,3,69},{1,3,77},{1,3,115},{0,4,88},{0,3,98},
{0,3,101},{0,4,72},{0,3,38},{1,4,24},{1,3,14},{1,3,5},{1,3,13},{1,3,51},{0,4,24},{0,3,34},{0,3,37},{3,0,52},{0,3,37},{1,3,69},{1,3,69},{1,3,69},{1,2,72},{1,2,72},{1,2,72},{1,2,72},{1,2,72},{0,3,11},{0,2,24},{1,3,5},{1,3,5},{1,3,5},{1,2,8},{1,2,8},{1,2,8},{1,2,8},{1,2,8},{1,2,8},
{1,2,8},{0,7,18},{1,3,10},{1,3,1},{0,3,9},{0,7,18},{1,3,18},{0,3,9},{0,3,36},{1,3,18},{0,3,36},{1,0,68},{1,0,68},{1,0,68},{1,0,68},{1,1,65},{1,1,65},{1,1,65},{0,3,65},{0,3,2},{0,3,2},{1,6,56},{1,5,38},{1,4,53},{1,4,37},{1,6,56},{1,5,35},{1,4,1},{1,4,66},{0,5,60},{0,4,70},{1,6,56},
{1,5,38},{1,4,53},{1,4,37},{0,9,51},{1,5,35},{1,4,1},{0,4,54},{2,3,51},{0,4,54},{1,5,37},{1,5,37},{1,5,37},{1,4,36},{1,5,10},{1,4,0},{1,4,0},{1,3,5},{0,5,11},{1,3,14},{1,5,37},{1,5,37},{1,5,37},{1,4,36},{0,8,8},{1,4,0},{1,4,0},{1,3,5},{4,0,8},{1,3,5},{2,3,18},{1,5,2},{1,4,17},
{1,4,1},{2,3,18},{4,1,18},{1,4,1},{0,4,50},{4,1,18},{0,4,50},{1,0,36},{1,0,36},{1,0,36},{1,0,36},{1,4,0},{1,4,0},{1,4,0},{1,3,1},{1,3,10},{1,3,10},{2,6,88},{2,5,78},{2,5,69},{2,5,77},{2,5,115},{2,5,107},{2,5,98},{1,5,117},{1,6,60},{1,5,36},{2,6,24},{2,5,14},{2,5,5},{2,5,13},{3,2,51},
{1,6,35},{2,5,34},{1,5,36},{1,6,51},{1,5,36},{2,5,69},{2,5,69},{2,5,69},{2,4,72},{2,4,72},{2,4,72},{2,4,72},{2,4,72},{1,5,16},{1,5,36},{2,5,5},{2,5,5},{2,5,5},{2,4,8},{3,1,8},{2,4,8},{2,4,8},{2,4,8},{3,3,8},{2,4,8},{3,3,20},{2,5,10},{2,5,1},{2,5,9},{3,3,20},{2,5,18},{2,5,9},
{0,5,36},{2,5,18},{0,5,36},{2,0,68},{2,0,68},{2,0,68},{2,0,68},{2,3,68},{2,3,68},{2,3,68},{2,4,68},{1,5,0},{1,5,0},{2,8,56},{2,7,38},{2,6,52},{2,6,36},{2,8,56},{2,7,35},{2,6,0},{2,6,52},{1,7,76},{1,6,70},{2,8,56},{2,7,38},{2,6,52},{2,6,36},{4,1,51},{2,7,35},{2,6,0},{1,6,45},{3,5,51},
{1,6,45},{2,7,37},{2,7,37},{2,7,37},{2,6,36},{2,7,10},{2,6,0},{2,6,0},{2,5,5},{1,7,12},{2,5,14},{2,7,37},{2,7,37},{2,7,37},{2,6,36},{4,0,8},{2,6,0},{2,6,0},{2,5,5},{1,7,8},{2,5,5},{3,5,18},{2,7,2},{2,6,16},{2,6,0},{3,5,18},{0,9,18},{2,6,0},{0,6,36},{0,9,18},{0,6,36},{2,0,36},
{2,0,36},{2,0,36},{2,0,36},{2,6,0},{2,6,0},{2,6,0},{2,5,1},{1,7,8},{1,7,8},{3,8,88},{3,7,78},{3,7,69},{3,7,77},{3,7,115},{2,8,88},{2,7,98},{2,7,101},{1,9,67},{2,7,38},{3,8,24},{3,7,14},{3,7,5},{3,7,13},{3,7,51},{2,8,24},{2,7,34},{2,7,37},{8,0,51},{2,7,37},{3,7,69},{3,7,69},{3,7,69},
{3,6,72},{3,6,72},{3,6,72},{3,6,72},{3,6,72},{2,7,11},{2,6,24},{3,7,5},{3,7,5},{3,7,5},{3,6,8},{3,6,8},{3,6,8},{3,6,8},{3,6,8},{3,6,8},{3,6,8},{5,1,18},{3,7,10},{3,7,1},{2,7,9},{5,1,18},{3,7,18},{2,7,9},{0,7,36},{3,7,18},{0,7,36},{3,0,68},{3,0,68},{3,0,68},{3,0,68},{3,5,65},
{3,5,65},{3,5,65},{2,7,65},{2,7,2},{2,7,2},{3,10,56},{3,9,38},{3,8,53},{3,8,37},{3,10,56},{3,9,35},{3,8,1},{3,8,66},{2,9,60},{2,8,70},{3,10,56},{3,9,38},{3,8,53},{3,8,37},{5,3,51},{3,9,35},{3,8,1},{2,8,54},{4,7,51},{2,8,54},{3,9,37},{3,9,37},{3,9,37},{3,8,36},{3,9,10},{3,8,0},{3,8,0},
{3,7,5},{2,9,11},{3,7,14},{3,9,37},{3,9,37},{3,9,37},{3,8,36},{5,2,8},{3,8,0},{3,8,0},{3,7,5},{8,1,8},{3,7,5},{4,7,18},{3,9,2},{3,8,17},{3,8,1},{4,7,18},{8,2,18},{3,8,1},{0,8,50},{8,2,18},{0,8,50},{3,0,36},{3,0,36},{3,0,36},{3,0,36},{3,8,0},{3,8,0},{3,8,0},{3,7,1},{3,7,10},
{3,7,10},{4,10,88},{4,9,78},{4,9,69},{4,9,77},{4,9,115},{4,9,107},{4,9,98},{3,9,117},{3,10,60},{3,9,36},{4,10,24},{4,9,14},{4,9,5},{4,9,13},{5,6,51},{3,10,35},{4,9,34},{3,9,36},{10,1,51},{3,9,36},{4,9,69},{4,9,69},{4,9,69},{4,8,72},{4,8,72},{4,8,72},{4,8,72},{4,8,72},{3,9,16},{3,9,36},{4,9,5},
{4,9,5},{4,9,5},{4,8,8},{5,5,8},{4,8,8},{4,8,8},{4,8,8},{5,7,8},{4,8,8},{7,0,18},{4,9,10},{4,9,1},{4,9,9},{7,0,18},{4,9,18},{4,9,9},{0,9,36},{4,9,18},{0,9,36},{4,0,68},{4,0,68},{4,0,68},{4,0,68},{4,7,68},{4,7,68},{4,7,68},{4,8,68},{3,9,0},{3,9,0},{4,12,56},{4,11,38},{4,10,52},
{4,10,36},{4,12,56},{4,11,35},{4,10,0},{4,10,52},{3,11,76},{3,10,70},{4,12,56},{4,11,38},{4,10,52},{4,10,36},{7,2,51},{4,11,35},{4,10,0},{3,10,45},{12,0,51},{3,10,45},{4,11,37},{4,11,37},{4,11,37},{4,10,36},{4,11,10},{4,10,0},{4,10,0},{4,9,5},{3,11,12},{4,9,14},{4,11,37},{4,11,37},{4,11,37},{4,10,36},{7,1,8},
{4,10,0},{4,10,0},{4,9,5},{10,2,8},{4,9,5},{5,9,18},{4,11,2},{4,10,16},{4,10,0},{5,9,18},{10,3,18},{4,10,0},{0,10,36},{10,3,18},{0,10,36},{4,0,36},{4,0,36},{4,0,36},{4,0,36},{4,10,0},{4,10,0},{4,10,0},{4,9,1},{3,11,8},{3,11,8},{5,12,88},{5,11,78},{5,11,69},{5,11,77},{5,11,115},{4,12,88},{4,11,98},
{4,11,101},{3,13,67},{4,11,38},{5,12,24},{5,11,14},{5,11,5},{5,11,13},{5,11,51},{4,12,24},{4,11,34},{4,11,37},{11,3,51},{4,11,37},{5,11,69},{5,11,69},{5,11,69},{5,10,72},{5,10,72},{5,10,72},{5,10,72},{5,10,72},{4,11,11},{4,10,24},{5,11,5},{5,11,5},{5,11,5},{5,10,8},{5,10,8},{5,10,8},{5,10,8},{5,10,8},{12,1,8},
{5,10,8},{8,0,18},{5,11,10},{5,11,1},{4,11,9},{8,0,18},{12,2,18},{4,11,9},{0,11,36},{12,2,18},{0,11,36},{5,0,68},{5,0,68},{5,0,68},{5,0,68},{5,9,65},{5,9,65},{5,9,65},{4,11,65},{4,11,2},{4,11,2},{5,14,56},{5,13,38},{5,12,53},{5,12,37},{5,14,56},{5,13,35},{5,12,1},{5,12,66},{4,13,60},{4,12,70},{5,14,56},
{5,13,38},{5,12,53},{5,12,37},{8,2,51},{5,13,35},{5,12,1},{4,12,54},{13,2,51},{4,12,54},{5,13,37},{5,13,37},{5,13,37},{5,12,36},{5,13,10},{5,12,0},{5,12,0},{5,11,5},{4,13,11},{5,11,14},{5,13,37},{5,13,37},{5,13,37},{5,12,36},{8,1,8},{5,12,0},{5,12,0},{5,11,5},{10,5,8},{5,11,5},{6,11,18},{5,13,2},{5,12,17},
{5,12,1},{6,11,18},{15,0,18},{5,12,1},{0,12,50},{15,0,18},{0,12,50},{5,0,36},{5,0,36},{5,0,36},{5,0,36},{5,12,0},{5,12,0},{5,12,0},{5,11,1},{5,11,10},{5,11,10},{6,14,88},{6,13,78},{6,13,69},{6,13,77},{6,13,115},{6,13,107},{6,13,98},{5,13,117},{5,14,60},{5,13,36},{6,14,24},{6,13,14},{6,13,5},{6,13,13},{8,5,51},
{5,14,35},{6,13,34},{5,13,36},{12,5,51},{5,13,36},{6,13,69},{6,13,69},{6,13,69},{6,12,72},{6,12,72},{6,12,72},{6,12,72},{6,12,72},{5,13,16},{5,13,36},{6,13,5},{6,13,5},{6,13,5},{6,12,8},{8,4,8},{6,12,8},{6,12,8},{6,12,8},{14,2,8},{6,12,8},{3,24,18},{6,13,10},{6,13,1},{6,13,9},{3,24,18},{14,3,18},{6,13,9},
{0,13,36},{14,3,18},{0,13,36},{6,0,68},{6,0,68},{6,0,68},{6,0,68},{6,11,68},{6,11,68},{6,11,68},{6,12,68},{5,13,0},{5,13,0},{6,16,56},{6,15,38},{6,14,52},{6,14,36},{6,16,56},{6,15,35},{6,14,0},{6,14,52},{5,15,76},{5,14,70},{6,16,56},{6,15,38},{6,14,52},{6,14,36},{3,26,51},{6,15,35},{6,14,0},{5,14,45},{15,3,51},
{5,14,45},{6,15,37},{6,15,37},{6,15,37},{6,14,36},{6,15,10},{6,14,0},{6,14,0},{6,13,5},{5,15,12},{6,13,14},{6,15,37},{6,15,37},{6,15,37},{6,14,36},{3,25,8},{6,14,0},{6,14,0},{6,13,5},{12,6,8},{6,13,5},{9,5,18},{6,15,2},{6,14,16},{6,14,0},{9,5,18},{12,7,18},{6,14,0},{0,14,36},{12,7,18},{0,14,36},{6,0,36},
{6,0,36},{6,0,36},{6,0,36},{6,14,0},{6,14,0},{6,14,0},{6,13,1},{5,15,8},{5,15,8},{7,16,88},{7,15,78},{7,15,69},{7,15,77},{7,15,115},{6,16,88},{6,15,98},{6,15,101},{5,17,67},{6,15,38},{7,16,24},{7,15,14},{7,15,5},{7,15,13},{11,0,51},{6,16,24},{6,15,34},{6,15,37},{13,7,51},{6,15,37},{7,15,69},{7,15,69},{7,15,69},
{7,14,72},{7,14,72},{7,14,72},{7,14,72},{7,14,72},{6,15,11},{6,14,24},{7,15,5},{7,15,5},{7,15,5},{7,14,8},{9,6,8},{7,14,8},{7,14,8},{7,14,8},{14,5,8},{7,14,8},{10,4,18},{7,15,10},{7,15,1},{6,15,9},{10,4,18},{14,6,18},{6,15,9},{0,15,36},{14,6,18},{0,15,36},{7,0,68},{7,0,68},{7,0,68},{7,0,68},{7,13,65},
{7,13,65},{7,13,65},{6,15,65},{6,15,2},{6,15,2},{7,18,56},{7,17,38},{7,16,53},{7,16,37},{7,18,56},{7,17,35},{7,16,1},{7,16,66},{6,17,60},{6,16,70},{7,18,56},{7,17,38},{7,16,53},{7,16,37},{10,6,51},{7,17,35},{7,16,1},{6,16,54},{15,6,51},{6,16,54},{7,17,37},{7,17,37},{7,17,37},{7,16,36},{7,17,10},{7,16,0},{7,16,0},
{7,15,5},{6,17,11},{7,15,14},{7,17,37},{7,17,37},{7,17,37},{7,16,36},{10,5,8},{7,16,0},{7,16,0},{7,15,5},{12,9,8},{7,15,5},{12,0,18},{7,17,2},{7,16,17},{7,16,1},{12,0,18},{12,10,18},{7,16,1},{0,16,50},{12,10,18},{0,16,50},{7,0,36},{7,0,36},{7,0,36},{7,0,36},{7,16,0},{7,16,0},{7,16,0},{7,15,1},{7,15,10},
{7,15,10},{7,21,326},{7,19,322},{8,17,392},{7,17,322},{7,21,137},{7,18,116},{7,17,133},{7,17,117},{7,18,60},{7,17,36},{8,16,118},{8,16,134},{8,17,136},{8,17,136},{10,9,51},{7,18,35},{7,17,52},{7,17,36},{14,9,51},{7,17,36},{7,20,307},{7,20,307},{7,20,307},{7,18,307},{7,20,91},{7,18,91},{7,18,91},{7,16,110},{7,17,16},{7,17,36},{8,15,101},
{8,15,101},{8,15,101},{8,16,101},{10,8,8},{7,18,10},{7,18,10},{7,16,29},{11,12,8},{7,16,29},{12,3,18},{7,19,16},{8,17,36},{7,17,16},{12,3,18},{11,13,18},{7,17,16},{0,17,36},{11,13,18},{0,17,36},{7,0,306},{7,0,306},{7,0,306},{7,0,306},{7,19,81},{7,19,81},{7,19,81},{7,17,81},{7,17,0},{7,17,0},{8,19,88},{8,18,78},{8,18,69},
{8,18,77},{8,18,115},{8,18,107},{8,18,98},{8,17,136},{7,19,76},{7,18,70},{8,19,24},{8,18,14},{8,18,5},{8,18,13},{9,15,51},{8,18,43},{8,18,34},{7,18,45},{5,22,51},{7,18,45},{8,18,69},{8,18,69},{8,18,69},{8,17,72},{8,17,72},{8,17,72},{8,17,72},{8,17,72},{7,19,12},{7,18,70},{8,18,5},{8,18,5},{8,18,5},{8,17,8},{9,14,8},
{8,17,8},{8,17,8},{8,17,8},{14,10,8},{8,17,8},{11,9,18},{8,18,10},{8,18,1},{8,18,9},{11,9,18},{14,11,18},{8,18,9},{0,18,36},{14,11,18},{0,18,36},{8,0,68},{8,0,68},{8,0,68},{8,0,68},{8,16,65},{8,16,65},{8,16,65},{8,17,68},{7,19,8},{7,19,8},{8,21,56},{8,20,38},{8,19,52},{8,19,36},{8,21,56},{8,20,35},{8,19,0},
{8,19,52},{7,21,67},{8,18,78},{8,21,56},{8,20,38},{8,19,52},{8,19,36},{13,4,51},{8,20,35},{8,19,0},{8,19,52},{15,11,51},{8,19,52},{8,20,37},{8,20,37},{8,20,37},{8,19,36},{8,20,10},{8,19,0},{8,19,0},{8,18,5},{8,18,35},{8,18,14},{8,20,37},{8,20,37},{8,20,37},{8,19,36},{11,10,8},{8,19,0},{8,19,0},{8,18,5},{5,23,8},
{8,18,5},{12,8,18},{8,20,2},{8,19,16},{8,19,0},{12,8,18},{11,16,18},{8,19,0},{0,19,36},{11,16,18},{0,19,36},{8,0,36},{8,0,36},{8,0,36},{8,0,36},{8,19,0},{8,19,0},{8,19,0},{8,18,1},{8,18,10},{8,18,10},{9,21,88},{9,20,78},{9,20,70},{9,20,78},{9,20,115},{8,21,88},{8,20,99},{8,20,115},{8,21,72},{8,20,52},{9,21,24},
{9,20,14},{9,20,6},{9,20,14},{15,0,51},{8,21,24},{8,20,35},{8,20,51},{12,16,51},{8,20,51},{9,20,69},{9,20,69},{9,20,69},{9,19,72},{9,19,72},{9,19,72},{9,19,72},{9,19,72},{8,20,11},{8,19,24},{9,20,5},{9,20,5},{9,20,5},{9,19,8},{12,9,8},{9,19,8},{9,19,8},{9,19,8},{14,13,8},{9,19,8},{14,4,18},{9,20,10},{9,20,2},
{8,20,10},{14,4,18},{14,14,18},{8,20,10},{0,20,50},{14,14,18},{0,20,50},{9,0,68},{9,0,68},{9,0,68},{9,0,68},{9,18,65},{9,18,65},{9,18,65},{8,20,65},{8,20,2},{8,20,2},{9,24,70},{9,22,58},{9,21,75},{9,21,51},{9,23,52},{9,22,25},{9,21,3},{9,21,46},{8,23,68},{8,21,70},{9,24,69},{9,22,57},{9,21,74},{9,21,50},{15,3,51},
{9,22,24},{9,21,2},{8,21,45},{11,19,51},{8,21,45},{9,23,51},{9,23,51},{9,23,51},{9,21,51},{9,22,9},{9,21,3},{9,21,3},{9,20,9},{8,22,12},{9,20,12},{9,23,50},{9,23,50},{9,23,50},{9,21,50},{15,2,8},{9,21,2},{9,21,2},{9,20,8},{13,16,8},{9,20,8},{14,7,18},{9,22,8},{9,21,25},{9,21,1},{14,7,18},{13,17,18},{9,21,1},
{0,21,36},{13,17,18},{0,21,36},{9,0,50},{9,0,50},{9,0,50},{9,0,50},{9,21,2},{9,21,2},{9,21,2},{9,20,5},{9,20,8},{9,20,8},{10,23,88},{10,22,78},{10,22,69},{10,22,77},{10,22,115},{10,22,107},{10,22,98},{9,22,117},{9,23,60},{9,22,36},{10,23,24},{10,22,14},{10,22,5},{10,22,13},{11,19,51},{9,23,35},{10,22,34},{9,22,36},{9,23,51},
{9,22,36},{10,22,69},{10,22,69},{10,22,69},{10,21,72},{10,21,72},{10,21,72},{10,21,72},{10,21,72},{9,22,16},{9,22,36},{10,22,5},{10,22,5},{10,22,5},{10,21,8},{11,18,8},{10,21,8},{10,21,8},{10,21,8},{10,21,8},{10,21,8},{13,13,18},{10,22,10},{10,22,1},{10,22,9},{13,13,18},{15,16,18},{10,22,9},{0,22,36},{15,16,18},{0,22,36},{10,0,68},
{10,0,68},{10,0,68},{10,0,68},{10,20,65},{10,20,65},{10,20,65},{10,21,68},{9,22,0},{9,22,0},{10,25,56},{10,24,38},{10,23,52},{10,23,36},{10,25,56},{10,24,35},{10,23,0},{10,23,52},{9,24,63},{9,23,70},{10,25,56},{10,24,38},{10,23,52},{10,23,36},{15,8,51},{10,24,35},{10,23,0},{9,23,45},{11,22,51},{9,23,45},{10,24,37},{10,24,37},{10,24,37},
{10,23,36},{10,24,10},{10,23,0},{10,23,0},{10,22,5},{9,24,14},{10,22,14},{10,24,37},{10,24,37},{10,24,37},{10,23,36},{13,14,8},{10,23,0},{10,23,0},{10,22,5},{8,25,8},{10,22,5},{14,12,18},{10,24,2},{10,23,16},{10,23,0},{14,12,18},{13,20,18},{10,23,0},{0,23,36},{13,20,18},{0,23,36},{10,0,36},{10,0,36},{10,0,36},{10,0,36},{10,23,0},
{10,23,0},{10,23,0},{10,22,1},{10,22,10},{10,22,10},{11,25,88},{11,24,78},{11,24,70},{11,24,78},{11,24,115},{10,25,88},{10,24,99},{10,24,115},{9,26,67},{10,24,52},{11,25,24},{11,24,14},{11,24,6},{11,24,14},{14,14,51},{10,25,24},{10,24,35},{10,24,51},{14,20,51},{10,24,51},{11,24,69},{11,24,69},{11,24,69},{11,23,72},{11,23,72},{11,23,72},{11,23,72},
{11,23,72},{10,24,11},{10,23,24},{11,24,5},{11,24,5},{11,24,5},{11,23,8},{14,13,8},{11,23,8},{11,23,8},{11,23,8},{11,23,8},{11,23,8},{13,18,18},{11,24,10},{11,24,2},{10,24,10},{13,18,18},{11,24,18},{10,24,10},{0,24,50},{11,24,18},{0,24,50},{11,0,68},{11,0,68},{11,0,68},{11,0,68},{11,22,65},{11,22,65},{11,22,65},{10,24,65},{10,24,2},
{10,24,2},{11,28,70},{11,26,58},{11,25,75},{11,25,51},{11,27,52},{11,26,25},{11,25,3},{11,25,46},{10,27,68},{10,25,70},{11,28,69},{11,26,57},{11,25,74},{11,25,50},{14,17,51},{11,26,24},{11,25,2},{10,25,45},{13,23,51},{10,25,45},{11,27,51},{11,27,51},{11,27,51},{11,25,51},{11,26,9},{11,25,3},{11,25,3},{11,24,9},{10,26,12},{11,24,12},{11,27,50},
{11,27,50},{11,27,50},{11,25,50},{14,16,8},{11,25,2},{11,25,2},{11,24,8},{15,20,8},{11,24,8},{13,21,18},{11,26,8},{11,25,25},{11,25,1},{13,21,18},{15,21,18},{11,25,1},{0,25,36},{15,21,18},{0,25,36},{11,0,50},{11,0,50},{11,0,50},{11,0,50},{11,25,2},{11,25,2},{11,25,2},{11,24,5},{11,24,8},{11,24,8},{12,27,88},{12,26,78},{12,26,69},
{12,26,77},{12,26,115},{12,26,107},{12,26,98},{11,26,117},{11,27,60},{11,26,36},{12,27,24},{12,26,14},{12,26,5},{12,26,13},{13,23,51},{11,27,35},{12,26,34},{11,26,36},{11,27,51},{11,26,36},{12,26,69},{12,26,69},{12,26,69},{12,25,72},{12,25,72},{12,25,72},{12,25,72},{12,25,72},{11,26,16},{11,26,36},{12,26,5},{12,26,5},{12,26,5},{12,25,8},{13,22,8},
{12,25,8},{12,25,8},{12,25,8},{12,25,8},{12,25,8},{15,17,18},{12,26,10},{12,26,1},{12,26,9},{15,17,18},{12,26,18},{12,26,9},{0,26,36},{12,26,18},{0,26,36},{12,0,68},{12,0,68},{12,0,68},{12,0,68},{12,24,65},{12,24,65},{12,24,65},{12,25,68},{11,26,0},{11,26,0},{12,29,56},{12,28,38},{12,27,52},{12,27,36},{12,29,56},{12,28,35},{12,27,0},
{12,27,52},{11,28,63},{11,27,70},{12,29,56},{12,28,38},{12,27,52},{12,27,36},{15,19,51},{12,28,35},{12,27,0},{11,27,45},{13,26,51},{11,27,45},{12,28,37},{12,28,37},{12,28,37},{12,27,36},{12,28,10},{12,27,0},{12,27,0},{12,26,5},{11,28,14},{12,26,14},{12,28,37},{12,28,37},{12,28,37},{12,27,36},{15,18,8},{12,27,0},{12,27,0},{12,26,5},{10,29,8},
{12,26,5},{13,26,18},{12,28,2},{12,27,16},{12,27,0},{13,26,18},{15,24,18},{12,27,0},{0,27,36},{15,24,18},{0,27,36},{12,0,36},{12,0,36},{12,0,36},{12,0,36},{12,27,0},{12,27,0},{12,27,0},{12,26,1},{12,26,10},{12,26,10},{13,29,88},{13,28,78},{13,28,70},{13,28,78},{13,28,115},{12,29,88},{12,28,99},{12,28,115},{11,30,67},{12,28,52},{13,29,24},
{13,28,14},{13,28,6},{13,28,14},{13,28,51},{12,29,24},{12,28,35},{12,28,51},{11,30,51},{12,28,51},{13,28,69},{13,28,69},{13,28,69},{13,27,72},{13,27,72},{13,27,72},{13,27,72},{13,27,72},{12,28,11},{12,27,24},{13,28,5},{13,28,5},{13,28,5},{13,27,8},{13,27,8},{13,27,8},{13,27,8},{13,27,8},{13,27,8},{13,27,8},{15,22,18},{13,28,10},{13,28,2},
{12,28,10},{15,22,18},{13,28,18},{12,28,10},{0,28,50},{13,28,18},{0,28,50},{13,0,68},{13,0,68},{13,0,68},{13,0,68},{13,26,65},{13,26,65},{13,26,65},{12,28,65},{12,28,2},{12,28,2},{13,31,76},{13,30,58},{13,29,75},{13,29,51},{13,31,52},{13,30,25},{13,29,3},{13,29,46},{12,31,68},{12,29,70},{13,31,75},{13,30,57},{13,29,74},{13,29,50},{13,31,51},
{13,30,24},{13,29,2},{12,29,45},{15,27,51},{12,29,45},{13,31,51},{13,31,51},{13,31,51},{13,29,51},{13,30,9},{13,29,3},{13,29,3},{13,28,9},{12,30,12},{13,28,12},{13,31,50},{13,31,50},{13,31,50},{13,29,50},{13,30,8},{13,29,2},{13,29,2},{13,28,8},{12,30,8},{13,28,8},{15,25,18},{13,30,8},{13,29,25},{13,29,1},{15,25,18},{12,31,18},{13,29,1},
{0,29,36},{12,31,18},{0,29,36},{13,0,50},{13,0,50},{13,0,50},{13,0,50},{13,29,2},{13,29,2},{13,29,2},{13,28,5},{13,28,8},{13,28,8},{14,31,88},{14,30,78},{14,30,69},{14,30,77},{14,30,115},{14,30,107},{14,30,98},{13,30,117},{13,31,60},{13,30,36},{14,31,24},{14,30,14},{14,30,5},{14,30,13},{15,27,51},{13,31,35},{14,30,34},{13,30,36},{13,31,51},
{13,30,36},{14,30,69},{14,30,69},{14,30,69},{14,29,72},{14,29,72},{14,29,72},{14,29,72},{14,29,72},{13,30,16},{13,30,36},{14,30,5},{14,30,5},{14,30,5},{14,29,8},{15,26,8},{14,29,8},{14,29,8},{14,29,8},{14,29,8},{14,29,8},{14,31,20},{14,30,10},{14,30,1},{14,30,9},{14,31,20},{14,30,18},{14,30,9},{0,30,36},{14,30,18},{0,30,36},{14,0,68},
{14,0,68},{14,0,68},{14,0,68},{14,28,65},{14,28,65},{14,28,65},{14,29,68},{13,30,0},{13,30,0},{14,31,152},{14,31,88},{14,31,52},{14,31,36},{14,31,116},{14,31,36},{14,31,0},{14,31,52},{14,31,88},{13,31,70},{15,30,118},{14,31,88},{14,31,52},{14,31,36},{15,29,52},{14,31,36},{14,31,0},{13,31,45},{15,30,51},{13,31,45},{14,31,52},{14,31,52},{14,31,52},
{14,31,36},{14,31,16},{14,31,0},{14,31,0},{14,30,5},{14,30,35},{14,30,14},{14,31,52},{14,31,52},{14,31,52},{14,31,36},{15,28,10},{14,31,0},{14,31,0},{14,30,5},{15,29,16},{14,30,5},{15,30,18},{15,30,34},{14,31,16},{14,31,0},{15,30,18},{15,30,26},{14,31,0},{0,31,36},{15,30,26},{0,31,36},{14,0,36},{14,0,36},{14,0,36},{14,0,36},{14,31,0},
{14,31,0},{14,31,0},{14,30,1},{14,30,10},{14,30,10},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{14,31,20},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},
{15,31,68},{14,31,56},{14,31,20},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{15,0,68},{15,0,68},{15,0,68},{15,0,68},{15,30,65},{15,30,65},{15,30,65},{15,31,68},{14,31,20},
{14,31,20},{0,4,74},{0,3,20},{0,2,2},{0,2,26},{0,2,158},{0,2,110},{0,2,62},{0,1,115},{0,1,178},{0,1,124},{0,4,74},{0,3,20},{0,2,2},{0,2,26},{0,2,158},{0,2,110},{0,2,62},{0,1,115},{1,0,158},{0,1,115},{0,2,1},{0,2,1},{0,2,1},{0,1,0},{0,1,13},{0,1,9},{0,1,9},{0,0,25},{0,0,25},{0,0,25},{0,2,1},
{0,2,1},{0,2,1},{0,1,0},{0,1,13},{0,1,9},{0,1,9},{0,0,25},{0,0,25},{0,0,25},{1,0,74},{0,3,20},{0,2,2},{0,2,26},{1,0,74},{1,1,72},{0,2,26},{0,1,90},{1,1,72},{0,1,90},{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},{0,6,83},{0,5,13},{0,3,26},
{0,3,14},{0,5,248},{0,3,140},{0,3,41},{0,2,139},{0,2,319},{0,2,175},{0,6,83},{0,5,13},{0,3,26},{0,3,14},{1,1,244},{0,3,140},{0,3,41},{0,2,139},{0,3,248},{0,2,139},{0,4,10},{0,4,10},{0,4,10},{0,3,13},{0,3,52},{0,2,18},{0,2,18},{0,1,29},{0,1,77},{0,1,38},{0,4,10},{0,4,10},{0,4,10},{0,3,13},{0,3,52},
{0,2,18},{0,2,18},{0,1,29},{1,0,58},{0,1,29},{1,3,72},{0,5,4},{0,3,17},{0,3,5},{1,3,72},{3,0,74},{0,3,5},{0,2,90},{3,0,74},{0,2,90},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,0},{0,1,0},{0,1,0},{0,1,4},{0,0,9},{0,0,9},{0,9,193},{0,7,125},{0,4,202},{0,4,122},{0,7,244},{0,5,96},{0,4,2},
{0,3,106},{0,4,395},{0,3,187},{1,6,99},{1,5,45},{1,4,26},{1,4,50},{1,4,243},{0,5,96},{0,4,2},{0,3,106},{2,2,243},{0,3,106},{0,7,121},{0,7,121},{0,7,121},{0,4,122},{0,5,52},{0,4,2},{0,4,2},{0,3,25},{0,3,133},{0,2,62},{1,4,26},{1,4,26},{1,4,26},{1,3,25},{1,2,50},{0,4,2},{0,4,2},{0,3,25},{1,2,50},
{0,3,25},{0,9,72},{0,7,4},{1,4,1},{0,4,1},{0,9,72},{2,3,72},{0,4,1},{0,3,90},{2,3,72},{0,3,90},{0,0,121},{0,0,121},{0,0,121},{0,0,121},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,37},{0,2,37},{1,8,164},{1,7,94},{1,5,106},{1,5,94},{0,10,292},{0,7,125},{0,5,81},{0,4,130},{0,6,364},{0,4,106},{1,8,83},
{1,7,13},{1,5,25},{1,5,13},{3,0,243},{0,7,76},{0,5,32},{0,4,81},{5,0,243},{0,4,81},{1,6,91},{1,6,91},{1,6,91},{1,5,94},{0,8,99},{0,6,51},{0,6,51},{0,4,66},{0,4,107},{0,4,42},{1,6,10},{1,6,10},{1,6,10},{1,5,13},{0,8,50},{0,6,2},{0,6,2},{0,4,17},{4,0,50},{0,4,17},{3,2,74},{1,7,4},{1,5,16},
{1,5,4},{3,2,74},{5,1,72},{1,5,4},{0,4,80},{5,1,72},{0,4,80},{1,0,90},{1,0,90},{1,0,90},{1,0,90},{0,6,50},{0,6,50},{0,6,50},{0,4,50},{0,3,20},{0,3,20},{1,11,218},{1,9,149},{1,7,242},{1,6,149},{1,10,248},{1,7,99},{1,6,5},{1,5,99},{0,7,308},{0,5,100},{2,8,99},{2,7,45},{2,6,27},{2,6,51},{3,3,243},
{0,9,81},{1,6,5},{0,5,99},{4,3,243},{0,5,99},{1,9,145},{1,9,145},{1,9,145},{1,6,148},{1,8,52},{1,6,4},{1,6,4},{1,5,18},{0,6,72},{0,5,19},{2,6,26},{2,6,26},{2,6,26},{2,5,25},{3,1,50},{1,6,4},{1,6,4},{0,5,18},{3,3,50},{0,5,18},{4,1,72},{1,9,5},{2,6,2},{1,6,5},{4,1,72},{3,5,72},{1,6,5},
{0,5,90},{3,5,72},{0,5,90},{1,0,144},{1,0,144},{1,0,144},{1,0,144},{1,6,0},{1,6,0},{1,6,0},{1,4,4},{0,6,8},{0,6,8},{2,10,164},{2,9,94},{2,7,107},{2,7,95},{1,12,307},{1,9,137},{1,7,115},{1,6,154},{0,9,253},{1,6,106},{2,10,83},{2,9,13},{2,7,26},{2,7,14},{4,2,243},{1,9,73},{2,7,41},{1,6,90},{6,2,243},
{1,6,90},{2,8,91},{2,8,91},{2,8,91},{2,7,94},{1,10,116},{1,8,69},{1,8,69},{1,6,73},{0,8,50},{1,6,25},{2,8,10},{2,8,10},{2,8,10},{2,7,13},{4,0,50},{1,8,5},{1,8,5},{1,6,9},{1,7,50},{1,6,9},{3,7,72},{2,9,4},{2,7,17},{2,7,5},{3,7,72},{8,0,72},{2,7,5},{0,6,90},{8,0,72},{0,6,90},{2,0,90},
{2,0,90},{2,0,90},{2,0,90},{1,9,65},{1,9,65},{1,9,65},{1,6,64},{0,7,10},{0,7,10},{2,13,194},{2,11,126},{2,8,203},{2,8,123},{2,11,245},{2,9,97},{2,8,3},{2,7,107},{0,11,249},{1,7,100},{3,10,99},{3,9,45},{3,8,26},{3,8,50},{3,8,243},{1,11,81},{2,8,2},{1,7,99},{4,6,243},{1,7,99},{2,11,122},{2,11,122},{2,11,122},
{2,8,123},{2,9,53},{2,8,3},{2,8,3},{2,7,26},{1,8,62},{1,7,19},{3,8,26},{3,8,26},{3,8,26},{3,7,25},{3,6,50},{2,8,2},{2,8,2},{1,7,18},{3,6,50},{1,7,18},{5,3,72},{2,11,4},{3,8,1},{2,8,1},{5,3,72},{4,7,72},{2,8,1},{0,7,90},{4,7,72},{0,7,90},{2,0,122},{2,0,122},{2,0,122},{2,0,122},{2,8,2},
{2,8,2},{2,8,2},{2,6,2},{1,7,10},{1,7,10},{3,12,164},{3,11,94},{3,9,106},{3,9,94},{2,14,292},{2,11,125},{2,9,81},{2,8,130},{1,11,253},{2,8,106},{3,12,83},{3,11,13},{3,9,25},{3,9,13},{5,4,243},{2,11,76},{2,9,32},{2,8,81},{9,1,243},{2,8,81},{3,10,91},{3,10,91},{3,10,91},{3,9,94},{2,12,99},{2,10,51},{2,10,51},
{2,8,66},{1,10,50},{2,8,42},{3,10,10},{3,10,10},{3,10,10},{3,9,13},{5,2,50},{2,10,2},{2,10,2},{2,8,17},{8,1,50},{2,8,17},{1,19,72},{3,11,4},{3,9,16},{3,9,4},{1,19,72},{9,2,72},{3,9,4},{0,8,80},{9,2,72},{0,8,80},{3,0,90},{3,0,90},{3,0,90},{3,0,90},{2,10,50},{2,10,50},{2,10,50},{2,8,50},{1,9,9},
{1,9,9},{3,15,218},{3,13,149},{3,11,242},{3,10,149},{3,14,248},{3,11,99},{3,10,5},{3,9,99},{1,13,244},{2,9,100},{4,12,99},{4,11,45},{4,10,27},{4,10,51},{5,7,243},{2,13,81},{3,10,5},{2,9,99},{6,7,243},{2,9,99},{3,13,145},{3,13,145},{3,13,145},{3,10,148},{3,12,52},{3,10,4},{3,10,4},{3,9,18},{1,12,56},{2,9,19},{4,10,26},
{4,10,26},{4,10,26},{4,9,25},{5,5,50},{3,10,4},{3,10,4},{2,9,18},{5,7,50},{2,9,18},{7,2,72},{3,13,5},{4,10,2},{3,10,5},{7,2,72},{12,0,72},{3,10,5},{0,9,90},{12,0,72},{0,9,90},{3,0,144},{3,0,144},{3,0,144},{3,0,144},{3,10,0},{3,10,0},{3,10,0},{3,8,4},{2,10,8},{2,10,8},{4,14,164},{4,13,94},{4,11,107},
{4,11,95},{3,16,307},{3,13,137},{3,11,115},{3,10,154},{2,13,253},{3,10,106},{4,14,83},{4,13,13},{4,11,26},{4,11,14},{7,3,243},{3,13,73},{4,11,41},{3,10,90},{11,2,243},{3,10,90},{4,12,91},{4,12,91},{4,12,91},{4,11,94},{3,14,116},{3,12,69},{3,12,69},{3,10,73},{2,12,50},{3,10,25},{4,12,10},{4,12,10},{4,12,10},{4,11,13},{7,1,50},
{3,12,5},{3,12,5},{3,10,9},{10,2,50},{3,10,9},{5,11,72},{4,13,4},{4,11,17},{4,11,5},{5,11,72},{11,3,72},{4,11,5},{0,10,90},{11,3,72},{0,10,90},{4,0,90},{4,0,90},{4,0,90},{4,0,90},{3,13,65},{3,13,65},{3,13,65},{3,10,64},{2,11,10},{2,11,10},{4,17,194},{4,15,126},{4,12,203},{4,12,123},{4,15,245},{4,13,97},{4,12,3},
{4,11,107},{2,15,249},{3,11,100},{5,14,99},{5,13,45},{5,12,26},{5,12,50},{5,12,243},{3,15,81},{4,12,2},{3,11,99},{13,1,243},{3,11,99},{4,15,122},{4,15,122},{4,15,122},{4,12,123},{4,13,53},{4,12,3},{4,12,3},{4,11,26},{3,12,62},{3,11,19},{5,12,26},{5,12,26},{5,12,26},{5,11,25},{5,10,50},{4,12,2},{4,12,2},{3,11,18},{12,1,50},
{3,11,18},{8,2,72},{4,15,4},{5,12,1},{4,12,1},{8,2,72},{13,2,72},{4,12,1},{0,11,90},{13,2,72},{0,11,90},{4,0,122},{4,0,122},{4,0,122},{4,0,122},{4,12,2},{4,12,2},{4,12,2},{4,10,2},{3,11,10},{3,11,10},{5,16,164},{5,15,94},{5,13,106},{5,13,94},{4,18,292},{4,15,125},{4,13,81},{4,12,130},{3,15,253},{4,12,106},{5,16,83},
{5,15,13},{5,13,25},{5,13,13},{8,3,243},{4,15,76},{4,13,32},{4,12,81},{11,5,243},{4,12,81},{5,14,91},{5,14,91},{5,14,91},{5,13,94},{4,16,99},{4,14,51},{4,14,51},{4,12,66},{3,14,50},{4,12,42},{5,14,10},{5,14,10},{5,14,10},{5,13,13},{8,1,50},{4,14,2},{4,14,2},{4,12,17},{10,5,50},{4,12,17},{3,23,72},{5,15,4},{5,13,16},
{5,13,4},{3,23,72},{11,6,72},{5,13,4},{0,12,80},{11,6,72},{0,12,80},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{4,14,50},{4,14,50},{4,14,50},{4,12,50},{3,13,9},{3,13,9},{5,19,218},{5,17,149},{5,15,242},{5,14,149},{5,18,248},{5,15,99},{5,14,5},{5,13,99},{3,17,244},{4,13,100},{6,16,99},{6,15,45},{6,14,27},{6,14,51},{8,6,243},
{4,17,81},{5,14,5},{4,13,99},{15,2,243},{4,13,99},{5,17,145},{5,17,145},{5,17,145},{5,14,148},{5,16,52},{5,14,4},{5,14,4},{5,13,18},{3,16,56},{4,13,19},{6,14,26},{6,14,26},{6,14,26},{6,13,25},{8,4,50},{5,14,4},{5,14,4},{4,13,18},{14,2,50},{4,13,18},{3,26,72},{5,17,5},{6,14,2},{5,14,5},{3,26,72},{15,3,72},{5,14,5},
{0,13,90},{15,3,72},{0,13,90},{5,0,144},{5,0,144},{5,0,144},{5,0,144},{5,14,0},{5,14,0},{5,14,0},{5,12,4},{4,14,8},{4,14,8},{6,18,164},{6,17,94},{6,15,107},{6,15,95},{5,20,307},{5,17,137},{5,15,115},{5,14,154},{4,17,253},{5,14,106},{6,18,83},{6,17,13},{6,15,26},{6,15,14},{5,20,243},{5,17,73},{6,15,41},{5,14,90},{13,6,243},
{5,14,90},{6,16,91},{6,16,91},{6,16,91},{6,15,94},{5,18,116},{5,16,69},{5,16,69},{5,14,73},{4,16,50},{5,14,25},{6,16,10},{6,16,10},{6,16,10},{6,15,13},{3,25,50},{5,16,5},{5,16,5},{5,14,9},{12,6,50},{5,14,9},{11,0,72},{6,17,4},{6,15,17},{6,15,5},{11,0,72},{13,7,72},{6,15,5},{0,14,90},{13,7,72},{0,14,90},{6,0,90},
{6,0,90},{6,0,90},{6,0,90},{5,17,65},{5,17,65},{5,17,65},{5,14,64},{4,15,10},{4,15,10},{6,21,194},{6,19,126},{6,16,203},{6,16,123},{6,19,245},{6,17,97},{6,16,3},{6,15,107},{4,19,249},{5,15,100},{7,18,99},{7,17,45},{7,16,26},{7,16,50},{11,1,243},{5,19,81},{6,16,2},{5,15,99},{15,5,243},{5,15,99},{6,19,122},{6,19,122},{6,19,122},
{6,16,123},{6,17,53},{6,16,3},{6,16,3},{6,15,26},{5,16,62},{5,15,19},{7,16,26},{7,16,26},{7,16,26},{7,15,25},{9,6,50},{6,16,2},{6,16,2},{5,15,18},{14,5,50},{5,15,18},{10,6,72},{6,19,4},{7,16,1},{6,16,1},{10,6,72},{15,6,72},{6,16,1},{0,15,90},{15,6,72},{0,15,90},{6,0,122},{6,0,122},{6,0,122},{6,0,122},{6,16,2},
{6,16,2},{6,16,2},{6,14,2},{5,15,10},{5,15,10},{7,20,164},{7,19,94},{7,17,106},{7,17,94},{6,22,292},{6,19,125},{6,17,81},{6,16,130},{5,19,253},{6,16,106},{7,20,83},{7,19,13},{7,17,25},{7,17,13},{10,7,243},{6,19,76},{6,17,32},{6,16,81},{13,9,243},{6,16,81},{7,18,91},{7,18,91},{7,18,91},{7,17,94},{6,20,99},{6,18,51},{6,18,51},
{6,16,66},{5,18,50},{6,16,42},{7,18,10},{7,18,10},{7,18,10},{7,17,13},{10,5,50},{6,18,2},{6,18,2},{6,16,17},{12,9,50},{6,16,17},{12,2,72},{7,19,4},{7,17,16},{7,17,4},{12,2,72},{13,10,72},{7,17,4},{0,16,80},{13,10,72},{0,16,80},{7,0,90},{7,0,90},{7,0,90},{7,0,90},{6,18,50},{6,18,50},{6,18,50},{6,16,50},{5,17,9},
{5,17,9},{7,23,218},{7,21,149},{7,19,242},{7,18,149},{7,22,248},{7,19,99},{7,18,5},{7,17,99},{5,21,244},{6,17,100},{7,23,218},{7,21,149},{8,18,206},{7,18,149},{13,0,243},{6,21,81},{7,18,5},{6,17,99},{5,21,243},{6,17,99},{7,21,145},{7,21,145},{7,21,145},{7,18,148},{7,20,52},{7,18,4},{7,18,4},{7,17,18},{5,20,56},{6,17,19},{7,21,145},
{7,21,145},{7,21,145},{7,18,148},{10,8,50},{7,18,4},{7,18,4},{6,17,18},{11,12,50},{6,17,18},{9,15,72},{7,21,5},{8,18,37},{7,18,5},{9,15,72},{5,22,72},{7,18,5},{0,17,90},{5,22,72},{0,17,90},{7,0,144},{7,0,144},{7,0,144},{7,0,144},{7,18,0},{7,18,0},{7,18,0},{7,16,4},{6,18,8},{6,18,8},{8,21,388},{8,20,334},{8,19,316},
{8,19,340},{7,24,307},{7,21,137},{7,19,115},{7,18,154},{6,21,253},{7,18,106},{8,21,99},{8,20,45},{8,19,27},{8,19,51},{8,19,243},{7,21,73},{7,19,51},{7,18,90},{15,10,243},{7,18,90},{8,19,315},{8,19,315},{8,19,315},{8,18,314},{7,22,116},{7,20,69},{7,20,69},{7,18,73},{6,20,50},{7,18,25},{8,19,26},{8,19,26},{8,19,26},{8,18,25},{9,14,50},
{7,20,5},{7,20,5},{7,18,9},{14,10,50},{7,18,9},{13,4,72},{8,20,20},{8,19,2},{7,19,26},{13,4,72},{15,11,72},{7,19,26},{0,18,90},{15,11,72},{0,18,90},{8,0,314},{8,0,314},{8,0,314},{8,0,314},{7,21,65},{7,21,65},{7,21,65},{7,18,64},{6,19,10},{6,19,10},{8,23,164},{8,22,94},{8,20,106},{8,20,94},{8,22,329},{8,20,221},{8,20,121},
{8,19,220},{6,23,249},{7,19,100},{8,23,83},{8,22,13},{8,20,25},{8,20,13},{13,5,243},{7,23,81},{8,20,40},{7,19,99},{12,15,243},{7,19,99},{8,21,91},{8,21,91},{8,21,91},{8,20,94},{8,20,133},{8,19,99},{8,19,99},{8,18,110},{7,20,62},{7,19,19},{8,21,10},{8,21,10},{8,21,10},{8,20,13},{11,10,50},{8,19,18},{8,19,18},{7,19,18},{5,23,50},
{7,19,18},{15,0,72},{8,22,4},{8,20,16},{8,20,4},{15,0,72},{12,16,72},{8,20,4},{0,19,90},{12,16,72},{0,19,90},{8,0,90},{8,0,90},{8,0,90},{8,0,90},{8,18,81},{8,18,81},{8,18,81},{8,18,85},{7,19,10},{7,19,10},{8,26,194},{8,24,131},{8,21,203},{8,21,123},{8,24,245},{8,22,97},{8,21,3},{8,20,97},{7,23,253},{7,20,141},{9,23,99},
{9,22,45},{9,21,26},{9,21,50},{15,1,243},{8,22,96},{8,21,2},{8,20,96},{15,13,243},{8,20,96},{8,24,122},{8,24,122},{8,24,122},{8,21,123},{8,22,53},{8,21,3},{8,21,3},{8,19,27},{7,22,50},{8,19,75},{9,21,26},{9,21,26},{9,21,26},{9,20,25},{12,9,50},{8,21,2},{8,21,2},{8,19,26},{14,13,50},{8,19,26},{14,6,72},{8,24,9},{9,21,1},
{8,21,1},{14,6,72},{15,14,72},{8,21,1},{0,20,80},{15,14,72},{0,20,80},{8,0,122},{8,0,122},{8,0,122},{8,0,122},{8,21,2},{8,21,2},{8,21,2},{8,19,2},{7,21,9},{7,21,9},{9,26,154},{9,24,81},{9,22,106},{9,22,82},{9,24,307},{8,24,137},{9,22,91},{8,21,154},{7,25,244},{8,21,106},{9,26,90},{9,24,17},{9,22,42},{9,22,18},{15,4,243},
{8,24,73},{9,22,27},{8,21,90},{9,22,243},{8,21,90},{9,24,81},{9,24,81},{9,24,81},{9,22,81},{9,22,114},{8,23,68},{8,23,68},{8,21,73},{7,24,56},{8,21,25},{9,24,17},{9,24,17},{9,24,17},{9,22,17},{15,2,50},{8,23,4},{8,23,4},{8,21,9},{13,16,50},{8,21,9},{11,19,72},{9,24,1},{9,22,26},{9,22,2},{11,19,72},{9,23,72},{9,22,2},
{0,21,90},{9,23,72},{0,21,90},{9,0,80},{9,0,80},{9,0,80},{9,0,80},{9,20,65},{9,20,65},{9,20,65},{8,21,64},{8,21,16},{8,21,16},{9,28,216},{9,26,149},{9,23,245},{9,23,149},{9,27,248},{9,24,89},{9,23,5},{9,22,99},{7,27,260},{8,22,100},{10,25,99},{10,24,45},{10,23,27},{10,23,51},{10,23,243},{8,26,81},{9,23,5},{8,22,99},{11,21,243},
{8,22,99},{9,26,145},{9,26,145},{9,26,145},{9,23,148},{9,25,52},{9,23,4},{9,23,4},{9,22,18},{8,23,72},{8,22,19},{10,23,26},{10,23,26},{10,23,26},{10,22,25},{11,18,50},{9,23,4},{9,23,4},{8,22,18},{10,21,50},{8,22,18},{15,8,72},{9,26,5},{10,23,2},{9,23,5},{15,8,72},{11,22,72},{9,23,5},{0,22,90},{11,22,72},{0,22,90},{9,0,144},
{9,0,144},{9,0,144},{9,0,144},{9,23,0},{9,23,0},{9,23,0},{9,21,4},{8,23,8},{8,23,8},{10,27,164},{10,26,94},{10,24,106},{10,24,94},{9,29,307},{9,26,137},{9,24,105},{9,23,154},{8,26,253},{9,23,106},{10,27,83},{10,26,13},{10,24,25},{10,24,13},{15,9,243},{9,26,73},{10,24,40},{9,23,90},{14,19,243},{9,23,90},{10,25,91},{10,25,91},{10,25,91},
{10,24,94},{9,27,116},{9,25,69},{9,25,69},{9,23,73},{8,25,50},{9,23,25},{10,25,10},{10,25,10},{10,25,10},{10,24,13},{13,14,50},{9,25,5},{9,25,5},{9,23,9},{8,25,50},{9,23,9},{14,14,72},{10,26,4},{10,24,16},{10,24,4},{14,14,72},{14,20,72},{10,24,4},{0,23,90},{14,20,72},{0,23,90},{10,0,90},{10,0,90},{10,0,90},{10,0,90},{9,26,65},
{9,26,65},{9,26,65},{9,23,64},{8,24,9},{8,24,9},{10,30,194},{10,28,131},{10,25,203},{10,25,123},{10,28,245},{10,26,97},{10,25,3},{10,24,97},{8,28,252},{9,24,85},{11,27,99},{11,26,45},{11,25,26},{11,25,50},{14,15,243},{9,28,80},{10,25,2},{9,24,84},{12,23,243},{9,24,84},{10,28,122},{10,28,122},{10,28,122},{10,25,123},{10,26,53},{10,25,3},{10,25,3},
{10,23,27},{9,25,62},{9,24,21},{11,25,26},{11,25,26},{11,25,26},{11,24,25},{14,13,50},{10,25,2},{10,25,2},{9,24,20},{11,23,50},{9,24,20},{13,20,72},{10,28,9},{11,25,1},{10,25,1},{13,20,72},{13,23,74},{10,25,1},{0,24,80},{13,23,74},{0,24,80},{10,0,122},{10,0,122},{10,0,122},{10,0,122},{10,25,2},{10,25,2},{10,25,2},{10,23,2},{9,24,5},
{9,24,5},{11,30,154},{11,28,81},{11,26,106},{11,26,82},{11,28,307},{10,28,137},{11,26,91},{10,25,154},{9,28,260},{10,25,106},{11,30,90},{11,28,17},{11,26,42},{11,26,18},{14,18,243},{10,28,73},{11,26,27},{10,25,90},{11,26,243},{10,25,90},{11,28,81},{11,28,81},{11,28,81},{11,26,81},{11,26,114},{10,27,68},{10,27,68},{10,25,73},{9,27,53},{10,25,25},{11,28,17},
{11,28,17},{11,28,17},{11,26,17},{14,16,50},{10,27,4},{10,27,4},{10,25,9},{15,20,50},{10,25,9},{13,23,72},{11,28,1},{11,26,26},{11,26,2},{13,23,72},{11,27,72},{11,26,2},{0,25,90},{11,27,72},{0,25,90},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{11,24,65},{11,24,65},{11,24,65},{10,25,64},{10,25,16},{10,25,16},{11,31,248},{11,30,149},{11,27,245},
{11,27,149},{11,31,248},{11,28,89},{11,27,5},{11,26,99},{9,30,244},{10,26,100},{12,29,99},{12,28,45},{12,27,27},{12,27,51},{12,27,243},{10,30,81},{11,27,5},{10,26,99},{13,25,243},{10,26,99},{11,30,145},{11,30,145},{11,30,145},{11,27,148},{11,29,52},{11,27,4},{11,27,4},{11,26,18},{9,29,56},{10,26,19},{12,27,26},{12,27,26},{12,27,26},{12,26,25},{13,22,50},
{11,27,4},{11,27,4},{10,26,18},{12,25,50},{10,26,18},{15,19,72},{11,30,5},{12,27,2},{11,27,5},{15,19,72},{13,26,72},{11,27,5},{0,26,90},{13,26,72},{0,26,90},{11,0,144},{11,0,144},{11,0,144},{11,0,144},{11,27,0},{11,27,0},{11,27,0},{11,25,4},{10,27,8},{10,27,8},{12,31,164},{12,30,94},{12,28,106},{12,28,94},{12,30,329},{11,30,137},{11,28,105},
{11,27,154},{10,30,253},{11,27,106},{12,31,83},{12,30,13},{12,28,25},{12,28,13},{14,23,243},{11,30,73},{12,28,40},{11,27,90},{11,29,243},{11,27,90},{12,29,91},{12,29,91},{12,29,91},{12,28,94},{11,31,116},{11,29,69},{11,29,69},{11,27,73},{10,29,50},{11,27,25},{12,29,10},{12,29,10},{12,29,10},{12,28,13},{15,18,50},{11,29,5},{11,29,5},{11,27,9},{10,29,50},
{11,27,9},{13,28,72},{12,30,4},{12,28,16},{12,28,4},{13,28,72},{11,30,72},{12,28,4},{0,27,90},{11,30,72},{0,27,90},{12,0,90},{12,0,90},{12,0,90},{12,0,90},{11,30,65},{11,30,65},{11,30,65},{11,27,64},{10,28,9},{10,28,9},{12,31,356},{12,31,140},{12,29,203},{12,29,123},{12,31,284},{12,30,97},{12,29,3},{12,28,97},{10,31,287},{11,28,85},{13,31,99},
{13,30,45},{13,29,26},{13,29,50},{13,29,243},{12,30,96},{12,29,2},{11,28,84},{14,27,243},{11,28,84},{12,31,131},{12,31,131},{12,31,131},{12,29,123},{12,30,53},{12,29,3},{12,29,3},{12,27,27},{11,29,62},{11,28,21},{13,29,26},{13,29,26},{13,29,26},{13,28,25},{13,27,50},{12,29,2},{12,29,2},{11,28,20},{13,27,50},{11,28,20},{15,24,72},{12,31,18},{13,29,1},
{12,29,1},{15,24,72},{15,27,74},{12,29,1},{0,28,80},{15,27,74},{0,28,80},{12,0,122},{12,0,122},{12,0,122},{12,0,122},{12,29,2},{12,29,2},{12,29,2},{12,27,2},{11,28,5},{11,28,5},{13,31,280},{13,31,120},{13,30,106},{13,30,82},{13,31,328},{13,31,200},{13,30,91},{12,29,154},{12,31,344},{12,29,106},{13,31,216},{13,31,56},{13,30,42},{13,30,18},{15,25,244},
{13,31,136},{13,30,27},{12,29,90},{13,30,243},{12,29,90},{13,31,84},{13,31,84},{13,31,84},{13,30,81},{13,30,114},{12,31,68},{12,31,68},{12,29,73},{11,31,53},{12,29,25},{13,31,20},{13,31,20},{13,31,20},{13,30,17},{13,30,50},{12,31,4},{12,31,4},{12,29,9},{12,30,50},{12,29,9},{15,27,72},{13,31,40},{13,30,26},{13,30,2},{15,27,72},{13,31,72},{13,30,2},
{0,29,90},{13,31,72},{0,29,90},{13,0,80},{13,0,80},{13,0,80},{13,0,80},{13,28,65},{13,28,65},{13,28,65},{12,29,64},{12,29,16},{12,29,16},{14,31,415},{14,31,351},{13,31,244},{13,31,148},{14,31,511},{13,31,173},{13,31,4},{13,30,82},{13,31,381},{12,30,83},{14,31,126},{14,31,62},{14,31,26},{14,31,50},{14,31,222},{13,31,173},{13,31,4},{12,30,82},{14,30,221},
{12,30,82},{13,31,244},{13,31,244},{13,31,244},{13,31,148},{13,31,100},{13,31,4},{13,31,4},{13,30,18},{12,31,72},{12,30,19},{14,31,26},{14,31,26},{14,31,26},{14,30,25},{15,26,50},{13,31,4},{13,31,4},{12,30,18},{14,29,50},{12,30,18},{15,29,61},{14,31,37},{14,31,1},{13,31,4},{15,29,61},{15,30,61},{13,31,4},{0,30,73},{15,30,61},{0,30,73},{13,0,144},
{13,0,144},{13,0,144},{13,0,144},{13,31,0},{13,31,0},{13,31,0},{13,29,4},{12,31,8},{12,31,8},{14,31,239},{14,31,175},{14,31,139},{14,31,99},{14,31,239},{14,31,135},{14,31,99},{13,31,73},{13,31,285},{13,31,25},{14,31,158},{14,31,94},{14,31,58},{14,31,18},{15,29,94},{14,31,54},{14,31,18},{13,31,9},{15,30,93},{13,31,9},{14,31,139},{14,31,139},{14,31,139},
{14,31,99},{14,31,139},{14,31,99},{14,31,99},{13,31,73},{13,31,116},{13,31,25},{14,31,58},{14,31,58},{14,31,58},{14,31,18},{15,28,52},{14,31,18},{14,31,18},{13,31,9},{15,29,58},{13,31,9},{15,30,9},{15,31,9},{15,31,9},{14,31,9},{15,30,9},{15,31,9},{14,31,9},{0,31,9},{15,31,9},{0,31,9},{14,0,90},{14,0,90},{14,0,90},{14,0,90},{14,30,81},
{14,30,81},{14,30,81},{13,31,64},{13,31,16},{13,31,16},{15,31,314},{14,31,258},{14,31,222},{14,31,158},{14,31,226},{14,31,98},{14,31,62},{14,31,2},{14,31,122},{14,31,50},{15,31,25},{15,31,25},{15,31,25},{15,31,25},{15,30,22},{15,31,25},{15,31,25},{14,31,1},{15,31,25},{14,31,1},{14,31,222},{14,31,222},{14,31,222},{14,31,158},{14,31,126},{14,31,62},{14,31,62},
{14,31,2},{14,31,86},{14,31,50},{15,31,25},{15,31,25},{15,31,25},{15,31,25},{15,30,13},{15,31,25},{15,31,25},{14,31,1},{15,30,25},{14,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{14,0,122},{14,0,122},{14,0,122},{14,0,122},{14,31,26},{14,31,26},{14,31,26},{14,31,2},{14,31,50},
{14,31,50},{0,6,202},{0,5,52},{0,3,25},{0,3,61},{0,4,442},{0,3,313},{0,3,142},{0,2,318},{0,2,498},{0,2,354},{0,6,202},{0,5,52},{0,3,25},{0,3,61},{1,1,441},{0,3,313},{0,3,142},{0,2,318},{2,0,442},{0,2,318},{0,3,0},{0,3,0},{0,3,0},{0,2,1},{0,1,45},{0,1,25},{0,1,25},{0,1,26},{0,1,50},{0,1,35},{0,3,0},
{0,3,0},{0,3,0},{0,2,1},{0,1,45},{0,1,25},{0,1,25},{0,1,26},{0,1,41},{0,1,26},{1,3,200},{0,5,52},{0,3,25},{0,3,61},{1,3,200},{3,0,202},{0,3,61},{0,2,218},{3,0,202},{0,2,218},{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},{0,9,200},{0,7,20},{0,5,20},
{0,4,25},{0,6,686},{0,5,433},{0,4,169},{0,3,443},{0,3,794},{0,3,524},{0,9,200},{0,7,20},{0,5,20},{0,4,25},{0,6,686},{0,5,433},{0,4,169},{0,3,443},{3,0,686},{0,3,443},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,3,145},{0,2,85},{0,2,85},{0,2,101},{0,1,178},{0,1,115},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,3,145},
{0,2,85},{0,2,85},{0,2,101},{0,2,149},{0,2,101},{0,9,200},{0,7,20},{0,5,20},{0,4,25},{0,9,200},{2,3,200},{0,4,25},{0,3,218},{2,3,200},{0,3,218},{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},{0,11,257},{0,9,54},{0,6,114},{0,5,65},{0,9,728},{0,6,371},{0,5,80},
{0,4,377},{0,5,949},{0,4,521},{0,11,257},{0,9,54},{1,5,97},{0,5,65},{2,2,723},{0,6,371},{0,5,80},{0,4,377},{1,4,723},{0,4,377},{0,8,50},{0,8,50},{0,8,50},{0,5,49},{0,5,164},{0,4,50},{0,4,50},{0,3,65},{0,3,245},{0,2,126},{0,8,50},{0,8,50},{0,8,50},{0,5,49},{1,2,162},{0,4,50},{0,4,50},{0,3,65},{1,2,162},
{0,3,65},{3,2,202},{0,9,5},{1,5,16},{0,5,16},{3,2,202},{5,1,200},{0,5,16},{0,4,208},{5,1,200},{0,4,208},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,2,1},{0,2,1},{0,2,1},{0,1,4},{0,1,13},{0,1,13},{0,14,425},{0,11,234},{1,7,277},{0,7,245},{0,11,724},{0,8,289},{0,6,34},{0,5,308},{0,6,1087},{0,5,533},{1,11,201},
{1,9,18},{1,7,21},{1,6,26},{1,8,723},{0,8,289},{0,6,34},{0,5,308},{4,2,723},{0,5,308},{0,11,225},{0,11,225},{0,11,225},{0,7,229},{0,8,162},{0,6,18},{0,6,18},{0,4,25},{0,4,338},{0,3,162},{1,8,2},{1,8,2},{1,8,2},{1,5,5},{0,8,162},{0,6,18},{0,6,18},{0,4,25},{4,0,162},{0,4,25},{3,4,200},{0,11,9},{1,7,20},
{0,7,20},{3,4,200},{7,0,200},{0,7,20},{0,5,208},{7,0,200},{0,5,208},{0,0,225},{0,0,225},{0,0,225},{0,0,225},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,61},{0,2,61},{1,14,410},{1,11,209},{1,8,288},{1,7,234},{0,14,739},{0,10,254},{0,8,33},{0,6,270},{0,8,1131},{0,6,450},{1,14,266},{1,11,65},{2,7,106},{1,7,90},{3,4,723},
{0,10,238},{0,8,17},{0,6,254},{7,0,723},{0,6,254},{1,11,209},{1,11,209},{1,11,209},{1,7,209},{0,11,178},{0,8,17},{0,8,17},{0,5,18},{0,6,376},{0,5,123},{1,11,65},{1,11,65},{1,11,65},{1,7,65},{3,1,162},{0,8,1},{0,8,1},{0,5,2},{3,3,162},{0,5,2},{3,7,200},{1,11,1},{2,7,25},{0,8,17},{3,7,200},{8,0,200},{0,8,17},
{0,6,218},{8,0,200},{0,6,218},{1,0,208},{1,0,208},{1,0,208},{1,0,208},{0,8,16},{0,8,16},{0,8,16},{0,5,17},{0,4,80},{0,4,80},{1,16,474},{1,13,276},{1,9,457},{1,9,292},{1,13,740},{1,10,298},{1,8,45},{1,7,315},{0,9,1013},{0,7,308},{2,13,201},{2,11,21},{2,9,21},{2,8,26},{5,0,723},{0,12,227},{1,8,29},{0,7,227},{5,4,723},
{0,7,227},{1,13,272},{1,13,272},{1,13,272},{1,9,276},{1,10,180},{1,8,29},{1,8,29},{1,6,33},{0,8,306},{0,6,41},{2,10,2},{2,10,2},{2,10,2},{2,7,5},{4,0,162},{0,10,5},{0,10,5},{0,6,5},{1,7,162},{0,6,5},{5,3,200},{1,13,4},{2,9,20},{1,9,20},{5,3,200},{4,7,200},{1,9,20},{0,7,218},{4,7,200},{0,7,218},{1,0,272},
{1,0,272},{1,0,272},{1,0,272},{1,7,17},{1,7,17},{1,7,17},{1,5,17},{0,6,40},{0,6,40},{2,15,426},{2,13,223},{2,10,283},{2,9,234},{1,16,739},{1,12,267},{1,10,33},{1,8,273},{0,11,913},{0,8,225},{2,15,257},{2,13,54},{3,9,97},{2,9,65},{4,6,723},{0,13,208},{1,10,17},{0,8,209},{3,8,723},{0,8,209},{2,12,219},{2,12,219},{2,12,219},
{2,9,218},{1,13,180},{1,10,17},{1,10,17},{1,7,18},{0,9,229},{0,7,27},{2,12,50},{2,12,50},{2,12,50},{2,9,49},{3,6,162},{1,10,1},{1,10,1},{1,7,2},{3,6,162},{1,7,2},{1,19,200},{2,13,5},{3,9,16},{2,9,16},{1,19,200},{9,2,200},{2,9,16},{0,8,208},{9,2,200},{0,8,208},{2,0,218},{2,0,218},{2,0,218},{2,0,218},{1,10,16},
{1,10,16},{1,10,16},{1,7,17},{0,8,17},{0,8,17},{2,18,450},{2,15,259},{2,11,410},{2,11,270},{2,15,749},{2,12,314},{2,10,59},{2,9,333},{0,13,868},{0,9,213},{3,15,201},{3,13,18},{3,11,21},{3,10,26},{6,2,723},{0,15,204},{2,10,34},{0,9,212},{8,3,723},{0,9,212},{2,15,250},{2,15,250},{2,15,250},{2,11,254},{2,12,187},{2,10,43},{2,10,43},
{2,8,50},{0,11,189},{1,8,37},{3,12,2},{3,12,2},{3,12,2},{3,9,5},{5,2,162},{1,12,2},{1,12,2},{1,8,1},{8,1,162},{1,8,1},{5,8,200},{2,15,9},{3,11,20},{2,11,20},{5,8,200},{4,10,200},{2,11,20},{0,9,208},{4,10,200},{0,9,208},{2,0,250},{2,0,250},{2,0,250},{2,0,250},{2,9,25},{2,9,25},{2,9,25},{2,7,25},{0,9,5},
{0,9,5},{3,18,410},{3,15,209},{3,12,288},{3,11,234},{2,18,739},{2,14,254},{2,12,33},{2,10,270},{0,15,804},{1,10,227},{3,18,266},{3,15,65},{4,11,106},{3,11,90},{5,8,723},{1,15,219},{2,12,17},{1,10,218},{4,10,723},{1,10,218},{3,15,209},{3,15,209},{3,15,209},{3,11,209},{2,15,178},{2,12,17},{2,12,17},{2,9,18},{0,13,171},{1,9,26},{3,15,65},
{3,15,65},{3,15,65},{3,11,65},{5,5,162},{2,12,1},{2,12,1},{2,9,2},{5,7,162},{2,9,2},{5,11,200},{3,15,1},{4,11,25},{2,12,17},{5,11,200},{11,3,200},{2,12,17},{0,10,218},{11,3,200},{0,10,218},{3,0,208},{3,0,208},{3,0,208},{3,0,208},{2,12,16},{2,12,16},{2,12,16},{2,9,17},{1,10,9},{1,10,9},{3,20,474},{3,17,276},{3,13,457},
{3,13,292},{3,17,740},{3,14,298},{3,12,45},{3,11,315},{0,16,747},{1,11,231},{4,17,201},{4,15,21},{4,13,21},{4,12,26},{7,4,723},{1,17,209},{3,12,29},{1,11,227},{9,5,723},{1,11,227},{3,17,272},{3,17,272},{3,17,272},{3,13,276},{3,14,180},{3,12,29},{3,12,29},{3,10,33},{0,15,171},{2,10,41},{4,14,2},{4,14,2},{4,14,2},{4,11,5},{7,1,162},
{2,14,5},{2,14,5},{2,10,5},{10,2,162},{2,10,5},{8,2,200},{3,17,4},{4,13,20},{3,13,20},{8,2,200},{13,2,200},{3,13,20},{0,11,218},{13,2,200},{0,11,218},{3,0,272},{3,0,272},{3,0,272},{3,0,272},{3,11,17},{3,11,17},{3,11,17},{3,9,17},{1,12,8},{1,12,8},{4,19,426},{4,17,223},{4,14,283},{4,13,234},{3,20,739},{3,16,267},{3,14,33},
{3,12,273},{0,18,727},{2,12,225},{4,19,257},{4,17,54},{5,13,97},{4,13,65},{6,10,723},{2,17,208},{3,14,17},{2,12,209},{12,3,723},{2,12,209},{4,16,219},{4,16,219},{4,16,219},{4,13,218},{3,17,180},{3,14,17},{3,14,17},{3,11,18},{1,15,171},{2,11,27},{4,16,50},{4,16,50},{4,16,50},{4,13,49},{5,10,162},{3,14,1},{3,14,1},{3,11,2},{12,1,162},
{3,11,2},{3,23,200},{4,17,5},{5,13,16},{4,13,16},{3,23,200},{11,6,200},{4,13,16},{0,12,208},{11,6,200},{0,12,208},{4,0,218},{4,0,218},{4,0,218},{4,0,218},{3,14,16},{3,14,16},{3,14,16},{3,11,17},{1,13,10},{1,13,10},{4,22,450},{4,19,259},{4,15,410},{4,15,270},{4,19,749},{4,16,314},{4,14,59},{4,13,333},{1,18,747},{2,13,213},{5,19,201},
{5,17,18},{5,15,21},{5,14,26},{9,1,723},{2,19,204},{4,14,34},{2,13,212},{15,1,723},{2,13,212},{4,19,250},{4,19,250},{4,19,250},{4,15,254},{4,16,187},{4,14,43},{4,14,43},{4,12,50},{1,16,174},{3,12,37},{5,16,2},{5,16,2},{5,16,2},{5,13,5},{8,1,162},{3,16,2},{3,16,2},{3,12,1},{10,5,162},{3,12,1},{9,4,200},{4,19,9},{5,15,20},
{4,15,20},{9,4,200},{9,10,200},{4,15,20},{0,13,208},{9,10,200},{0,13,208},{4,0,250},{4,0,250},{4,0,250},{4,0,250},{4,13,25},{4,13,25},{4,13,25},{4,11,25},{2,13,5},{2,13,5},{5,22,410},{5,19,209},{5,16,288},{5,15,234},{4,22,739},{4,18,254},{4,16,33},{4,14,270},{1,20,724},{3,14,227},{5,22,266},{5,19,65},{6,15,106},{5,15,90},{9,4,723},
{3,19,219},{4,16,17},{3,14,218},{9,10,723},{3,14,218},{5,19,209},{5,19,209},{5,19,209},{5,15,209},{4,19,178},{4,16,17},{4,16,17},{4,13,18},{2,17,171},{3,13,26},{5,19,65},{5,19,65},{5,19,65},{5,15,65},{8,4,162},{4,16,1},{4,16,1},{4,13,2},{14,2,162},{4,13,2},{11,0,200},{5,19,1},{6,15,25},{4,16,17},{11,0,200},{13,7,200},{4,16,17},
{0,14,218},{13,7,200},{0,14,218},{5,0,208},{5,0,208},{5,0,208},{5,0,208},{4,16,16},{4,16,16},{4,16,16},{4,13,17},{3,14,9},{3,14,9},{5,24,474},{5,21,276},{5,17,457},{5,17,292},{5,21,740},{5,18,298},{5,16,45},{5,15,315},{1,22,740},{3,15,231},{6,21,201},{6,19,21},{6,17,21},{6,16,26},{10,3,723},{3,21,209},{5,16,29},{3,15,227},{11,9,723},
{3,15,227},{5,21,272},{5,21,272},{5,21,272},{5,17,276},{5,18,180},{5,16,29},{5,16,29},{5,14,33},{2,19,171},{4,14,41},{6,18,2},{6,18,2},{6,18,2},{6,15,5},{3,25,162},{4,18,5},{4,18,5},{4,14,5},{12,6,162},{4,14,5},{10,6,200},{5,21,4},{6,17,20},{5,17,20},{10,6,200},{15,6,200},{5,17,20},{0,15,218},{15,6,200},{0,15,218},{5,0,272},
{5,0,272},{5,0,272},{5,0,272},{5,15,17},{5,15,17},{5,15,17},{5,13,17},{3,16,8},{3,16,8},{6,23,426},{6,21,223},{6,18,283},{6,17,234},{5,24,739},{5,20,267},{5,18,33},{5,16,273},{2,22,727},{4,16,225},{6,23,257},{6,21,54},{7,17,97},{6,17,65},{9,9,723},{4,21,208},{5,18,17},{4,16,209},{14,7,723},{4,16,209},{6,20,219},{6,20,219},{6,20,219},
{6,17,218},{5,21,180},{5,18,17},{5,18,17},{5,15,18},{3,19,171},{4,15,27},{6,20,50},{6,20,50},{6,20,50},{6,17,49},{9,6,162},{5,18,1},{5,18,1},{5,15,2},{14,5,162},{5,15,2},{12,2,200},{6,21,5},{7,17,16},{6,17,16},{12,2,200},{13,10,200},{6,17,16},{0,16,208},{13,10,200},{0,16,208},{6,0,218},{6,0,218},{6,0,218},{6,0,218},{5,18,16},
{5,18,16},{5,18,16},{5,15,17},{3,17,10},{3,17,10},{6,26,450},{6,23,259},{6,19,410},{6,19,270},{6,23,749},{6,20,314},{6,18,59},{6,17,333},{3,22,747},{4,17,213},{7,23,201},{7,21,18},{7,19,21},{7,18,26},{11,5,723},{4,23,204},{6,18,34},{4,17,212},{12,11,723},{4,17,212},{6,23,250},{6,23,250},{6,23,250},{6,19,254},{6,20,187},{6,18,43},{6,18,43},
{6,16,50},{3,20,174},{5,16,37},{7,20,2},{7,20,2},{7,20,2},{7,17,5},{10,5,162},{5,20,2},{5,20,2},{5,16,1},{12,9,162},{5,16,1},{11,8,200},{6,23,9},{7,19,20},{6,19,20},{11,8,200},{11,14,200},{6,19,20},{0,17,208},{11,14,200},{0,17,208},{6,0,250},{6,0,250},{6,0,250},{6,0,250},{6,17,25},{6,17,25},{6,17,25},{6,15,25},{4,17,5},
{4,17,5},{7,26,410},{7,23,209},{7,20,288},{7,19,234},{6,26,739},{6,22,254},{6,20,33},{6,18,270},{3,24,724},{5,18,227},{7,26,266},{7,23,65},{7,20,144},{7,19,90},{11,8,723},{5,23,219},{6,20,17},{5,18,218},{11,14,723},{5,18,218},{7,23,209},{7,23,209},{7,23,209},{7,19,209},{6,23,178},{6,20,17},{6,20,17},{6,17,18},{4,21,171},{5,17,26},{7,23,65},
{7,23,65},{7,23,65},{7,19,65},{10,8,162},{6,20,1},{6,20,1},{6,17,2},{11,12,162},{6,17,2},{13,4,200},{7,23,1},{8,19,50},{6,20,17},{13,4,200},{15,11,200},{6,20,17},{0,18,218},{15,11,200},{0,18,218},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{6,20,16},{6,20,16},{6,20,16},{6,17,17},{5,18,9},{5,18,9},{7,28,474},{7,25,276},{7,21,457},
{7,21,292},{7,25,740},{7,22,298},{7,20,45},{7,19,315},{3,26,740},{5,19,231},{8,23,283},{8,22,133},{8,20,97},{8,20,133},{12,7,723},{5,25,209},{7,20,29},{5,19,227},{13,13,723},{5,19,227},{7,25,272},{7,25,272},{7,25,272},{7,21,276},{7,22,180},{7,20,29},{7,20,29},{7,18,33},{4,23,171},{6,18,41},{8,20,81},{8,20,81},{8,20,81},{8,19,82},{9,14,162},
{6,22,5},{6,22,5},{6,18,5},{14,10,162},{6,18,5},{15,0,200},{7,25,4},{8,20,16},{7,21,20},{15,0,200},{12,16,200},{7,21,20},{0,19,218},{12,16,200},{0,19,218},{7,0,272},{7,0,272},{7,0,272},{7,0,272},{7,19,17},{7,19,17},{7,19,17},{7,17,17},{5,20,8},{5,20,8},{8,26,642},{8,24,459},{8,22,462},{8,21,467},{7,28,739},{7,24,267},{7,22,33},
{7,20,273},{4,26,727},{6,20,225},{8,26,201},{8,24,18},{8,22,21},{8,21,26},{14,3,723},{6,25,208},{7,22,17},{6,20,209},{11,17,723},{6,20,209},{8,23,443},{8,23,443},{8,23,443},{8,20,446},{7,25,180},{7,22,17},{7,22,17},{7,19,18},{5,23,171},{6,19,27},{8,23,2},{8,23,2},{8,23,2},{8,20,5},{11,10,162},{7,22,1},{7,22,1},{7,19,2},{5,23,162},
{7,19,2},{14,6,200},{8,24,17},{8,22,20},{7,22,17},{14,6,200},{15,14,200},{7,22,17},{0,20,208},{15,14,200},{0,20,208},{8,0,442},{8,0,442},{8,0,442},{8,0,442},{7,22,16},{7,22,16},{7,22,16},{7,19,17},{5,21,10},{5,21,10},{8,28,420},{8,26,223},{8,23,283},{8,22,234},{7,31,872},{7,26,371},{7,23,201},{7,21,368},{5,26,747},{6,21,213},{8,28,251},
{8,26,54},{9,22,97},{8,22,65},{13,9,723},{6,27,204},{7,23,57},{6,21,212},{14,15,723},{6,21,212},{8,25,219},{8,25,219},{8,25,219},{8,22,218},{7,27,308},{7,24,146},{7,24,146},{7,20,145},{5,24,174},{7,20,37},{8,25,50},{8,25,50},{8,25,50},{8,22,49},{12,9,162},{7,24,2},{7,24,2},{7,20,1},{14,13,162},{7,20,1},{13,12,200},{8,26,5},{9,22,16},
{8,22,16},{13,12,200},{13,18,200},{8,22,16},{0,21,208},{13,18,200},{0,21,208},{8,0,218},{8,0,218},{8,0,218},{8,0,218},{7,24,145},{7,24,145},{7,24,145},{7,20,145},{6,21,5},{6,21,5},{8,31,474},{8,28,276},{9,24,425},{8,24,292},{8,28,740},{8,25,298},{8,23,61},{8,22,315},{5,28,724},{7,22,227},{9,28,200},{9,26,13},{9,24,25},{9,23,29},{13,12,723},
{7,27,219},{8,23,45},{7,22,218},{13,18,723},{7,22,218},{8,28,272},{8,28,272},{8,28,272},{8,24,276},{8,25,180},{8,23,36},{8,23,36},{8,21,33},{6,25,171},{7,21,26},{9,25,0},{9,25,0},{9,25,0},{9,23,4},{15,2,162},{8,23,20},{8,23,20},{8,21,17},{13,16,162},{8,21,17},{15,8,200},{8,28,4},{9,24,25},{8,24,20},{15,8,200},{11,22,200},{8,24,20},
{0,22,218},{11,22,200},{0,22,218},{8,0,272},{8,0,272},{8,0,272},{8,0,272},{8,22,17},{8,22,17},{8,22,17},{8,20,17},{7,22,9},{7,22,9},{9,31,410},{9,28,212},{9,25,288},{9,24,224},{8,31,739},{8,27,254},{8,25,33},{8,23,270},{5,30,740},{7,23,231},{9,31,266},{9,28,68},{10,24,97},{9,24,80},{14,11,723},{7,29,209},{8,25,17},{7,23,227},{15,17,723},
{7,23,227},{9,27,212},{9,27,212},{9,27,212},{9,24,208},{8,28,180},{8,25,17},{8,25,17},{8,22,18},{6,27,171},{7,23,62},{9,27,68},{9,27,68},{9,27,68},{9,24,64},{11,18,162},{8,25,1},{8,25,1},{8,22,2},{10,21,162},{8,22,2},{14,14,200},{9,28,4},{10,24,16},{9,24,16},{14,14,200},{14,20,200},{9,24,16},{0,23,218},{14,20,200},{0,23,218},{9,0,208},
{9,0,208},{9,0,208},{9,0,208},{8,25,16},{8,25,16},{8,25,16},{8,22,17},{7,24,8},{7,24,8},{9,31,570},{9,30,276},{9,26,457},{9,26,292},{9,30,740},{9,27,298},{9,25,45},{9,24,324},{6,30,727},{7,24,280},{10,30,201},{10,28,18},{10,26,21},{10,25,26},{13,17,723},{8,29,227},{9,25,29},{8,24,224},{13,21,723},{8,24,224},{9,30,272},{9,30,272},{9,30,272},
{9,26,276},{9,27,180},{9,25,29},{9,25,29},{9,23,33},{7,27,171},{8,23,41},{10,27,2},{10,27,2},{10,27,2},{10,24,5},{13,14,162},{8,27,5},{8,27,5},{8,23,5},{8,25,162},{8,23,5},{13,20,200},{9,30,4},{10,26,20},{9,26,20},{13,20,200},{13,23,202},{9,26,20},{0,24,208},{13,23,202},{0,24,208},{9,0,272},{9,0,272},{9,0,272},{9,0,272},{9,24,17},
{9,24,17},{9,24,17},{9,22,17},{7,25,10},{7,25,10},{10,31,468},{10,30,223},{10,27,283},{10,26,234},{9,31,835},{9,29,267},{9,27,33},{9,25,273},{7,30,747},{8,25,225},{11,29,283},{10,30,54},{11,26,97},{10,26,65},{15,13,723},{8,30,208},{9,27,17},{8,25,209},{11,25,723},{8,25,209},{10,29,219},{10,29,219},{10,29,219},{10,26,218},{9,30,180},{9,27,17},{9,27,17},
{9,24,20},{7,28,174},{8,24,17},{10,29,50},{10,29,50},{10,29,50},{10,26,49},{14,13,162},{9,27,1},{9,27,1},{9,24,4},{11,23,162},{9,24,4},{15,16,200},{10,30,5},{11,26,16},{10,26,16},{15,16,200},{15,22,200},{10,26,16},{0,25,208},{15,22,200},{0,25,208},{10,0,218},{10,0,218},{10,0,218},{10,0,218},{9,27,16},{9,27,16},{9,27,16},{9,24,20},{8,24,17},
{8,24,17},{11,31,632},{10,31,297},{11,28,425},{10,28,292},{10,31,804},{10,29,298},{10,27,61},{10,26,315},{7,31,823},{8,26,231},{11,31,232},{11,30,13},{11,28,25},{11,27,29},{15,16,723},{9,31,216},{10,27,45},{8,26,227},{15,22,723},{8,26,227},{10,31,288},{10,31,288},{10,31,288},{10,28,276},{10,29,180},{10,27,36},{10,27,36},{10,25,33},{7,30,189},{9,25,30},{11,29,0},
{11,29,0},{11,29,0},{11,27,4},{14,16,162},{9,29,4},{9,29,4},{9,25,5},{15,20,162},{9,25,5},{15,19,200},{11,30,13},{11,28,25},{10,28,20},{15,19,200},{13,26,200},{10,28,20},{0,26,218},{13,26,200},{0,26,218},{10,0,272},{10,0,272},{10,0,272},{10,0,272},{10,26,17},{10,26,17},{10,26,17},{10,24,17},{8,27,5},{8,27,5},{11,31,696},{11,31,237},{11,29,288},
{11,28,224},{11,31,888},{10,31,254},{10,29,33},{10,27,270},{8,31,824},{9,27,227},{12,31,283},{11,31,93},{12,28,97},{11,28,80},{13,25,723},{10,31,238},{10,29,17},{9,27,218},{12,27,723},{9,27,218},{11,31,212},{11,31,212},{11,31,212},{11,28,208},{10,31,196},{10,29,17},{10,29,17},{10,26,18},{8,30,171},{9,26,26},{11,31,68},{11,31,68},{11,31,68},{11,28,64},{13,22,162},
{10,29,1},{10,29,1},{10,26,2},{12,25,162},{10,26,2},{13,28,200},{11,31,29},{12,28,16},{11,28,16},{13,28,200},{11,30,200},{11,28,16},{0,27,218},{11,30,200},{0,27,218},{11,0,208},{11,0,208},{11,0,208},{11,0,208},{10,29,16},{10,29,16},{10,29,16},{10,26,17},{9,27,9},{9,27,9},{12,31,804},{12,31,492},{11,30,457},{11,30,292},{11,31,1080},{11,31,298},{11,29,45},
{11,28,324},{9,31,920},{9,28,218},{12,31,363},{12,31,51},{12,30,21},{12,29,26},{15,21,723},{11,31,282},{11,29,29},{9,28,217},{15,25,723},{9,28,217},{11,31,372},{11,31,372},{11,31,372},{11,30,276},{11,31,180},{11,29,29},{11,29,29},{11,27,33},{8,31,184},{10,27,41},{12,31,2},{12,31,2},{12,31,2},{12,28,5},{15,18,162},{10,31,5},{10,31,5},{10,27,5},{10,29,162},
{10,27,5},{15,24,200},{12,31,50},{12,30,20},{11,30,20},{15,24,200},{15,27,202},{11,30,20},{0,28,208},{15,27,202},{0,28,208},{11,0,272},{11,0,272},{11,0,272},{11,0,272},{11,28,17},{11,28,17},{11,28,17},{11,26,17},{9,29,8},{9,29,8},{12,31,996},{12,31,492},{12,31,283},{12,30,234},{12,31,1068},{11,31,458},{11,31,33},{11,29,273},{10,31,999},{10,29,225},{13,31,379},
{13,31,171},{13,30,97},{12,30,65},{14,27,723},{12,31,371},{11,31,17},{10,29,209},{13,29,723},{10,29,209},{12,31,267},{12,31,267},{12,31,267},{12,30,218},{12,30,333},{11,31,17},{11,31,17},{11,28,20},{9,31,212},{10,28,17},{13,30,81},{13,30,81},{13,30,81},{12,30,49},{13,27,162},{11,31,1},{11,31,1},{11,28,4},{13,27,162},{11,28,4},{15,27,202},{13,31,90},{13,30,16},
{12,30,16},{15,27,202},{15,28,202},{12,30,16},{0,29,208},{15,28,202},{0,29,208},{12,0,218},{12,0,218},{12,0,218},{12,0,218},{11,31,16},{11,31,16},{11,31,16},{11,28,20},{9,30,10},{9,30,10},{13,31,877},{13,31,605},{13,31,436},{12,31,288},{13,31,1021},{12,31,397},{12,31,36},{12,30,210},{11,31,910},{10,30,126},{14,31,414},{13,31,205},{13,31,36},{13,31,4},{15,26,546},
{13,31,317},{12,31,20},{10,30,122},{14,29,546},{10,30,122},{13,31,436},{13,31,436},{13,31,436},{12,31,288},{12,31,276},{12,31,36},{12,31,36},{12,29,33},{10,31,261},{11,29,30},{13,31,36},{13,31,36},{13,31,36},{13,31,4},{13,30,162},{12,31,20},{12,31,20},{11,29,5},{12,30,162},{11,29,5},{15,28,117},{14,31,61},{14,31,25},{13,31,4},{15,28,117},{14,31,117},{13,31,4},
{0,30,113},{14,31,117},{0,30,113},{12,0,272},{12,0,272},{12,0,272},{12,0,272},{12,30,17},{12,30,17},{12,30,17},{12,28,17},{10,31,5},{10,31,5},{13,31,845},{13,31,573},{13,31,404},{13,31,244},{13,31,797},{13,31,365},{12,31,196},{12,30,82},{12,31,737},{11,31,58},{14,31,190},{14,31,126},{14,31,90},{14,31,82},{14,31,334},{13,31,221},{13,31,52},{11,31,49},{14,30,333},
{11,31,49},{13,31,404},{13,31,404},{13,31,404},{13,31,244},{13,31,356},{12,31,196},{12,31,196},{12,30,18},{11,31,333},{11,30,26},{14,31,90},{14,31,90},{14,31,90},{14,31,82},{15,26,162},{13,31,52},{13,31,52},{12,30,2},{14,29,162},{12,30,2},{15,30,25},{15,30,41},{14,31,9},{14,31,1},{15,30,25},{15,30,29},{14,31,1},{0,31,49},{15,30,29},{0,31,49},{13,0,208},
{13,0,208},{13,0,208},{13,0,208},{12,31,52},{12,31,52},{12,31,52},{12,30,17},{11,31,9},{11,31,9},{14,31,642},{14,31,578},{14,31,542},{13,31,441},{14,31,690},{13,31,370},{13,31,201},{13,31,32},{13,31,610},{12,31,40},{14,31,201},{14,31,137},{14,31,101},{14,31,37},{15,29,193},{14,31,121},{14,31,85},{12,31,4},{14,31,193},{12,31,4},{14,31,542},{14,31,542},{14,31,542},
{13,31,441},{13,31,473},{13,31,201},{13,31,201},{13,31,32},{12,31,401},{12,31,40},{14,31,101},{14,31,101},{14,31,101},{14,31,37},{15,28,145},{14,31,85},{14,31,85},{12,31,4},{15,29,149},{12,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{13,0,272},{13,0,272},{13,0,272},{13,0,272},{13,31,32},
{13,31,32},{13,31,32},{13,30,17},{12,31,40},{12,31,40},{14,31,418},{14,31,354},{14,31,318},{14,31,254},{14,31,370},{14,31,242},{14,31,206},{13,31,32},{13,31,418},{13,31,80},{15,31,81},{15,31,81},{15,31,81},{15,31,81},{15,30,54},{14,31,73},{14,31,37},{14,31,9},{15,30,66},{14,31,9},{14,31,318},{14,31,318},{14,31,318},{14,31,254},{14,31,270},{14,31,206},{14,31,206},
{13,31,32},{13,31,249},{13,31,80},{15,31,81},{15,31,81},{15,31,81},{15,31,81},{15,29,45},{14,31,37},{14,31,37},{14,31,9},{15,30,41},{14,31,9},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{14,0,218},{14,0,218},{14,0,218},{14,0,218},{13,31,160},{13,31,160},{13,31,160},{13,31,32},{13,31,80},
{13,31,80},{0,9,421},{0,7,113},{0,5,5},{0,4,130},{0,6,925},{0,5,658},{0,4,274},{0,3,670},{0,3,1039},{0,3,751},{0,9,421},{0,7,113},{0,5,5},{0,4,130},{0,6,925},{0,5,658},{0,4,274},{0,3,670},{3,0,925},{0,3,670},{0,4,1},{0,4,1},{0,4,1},{0,3,4},{0,2,85},{0,2,45},{0,2,45},{0,1,50},{0,1,98},{0,1,59},{0,4,1},
{0,4,1},{0,4,1},{0,3,4},{0,2,85},{0,2,45},{0,2,45},{0,1,50},{1,0,85},{0,1,50},{1,6,421},{0,7,113},{0,5,5},{0,4,130},{1,6,421},{3,2,421},{0,4,130},{0,3,445},{3,2,421},{0,3,445},{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},{0,12,425},{0,9,52},{0,6,10},
{0,6,82},{0,8,1261},{0,6,805},{0,5,322},{0,4,833},{0,4,1445},{0,4,977},{0,12,425},{0,9,52},{0,6,10},{0,6,82},{0,8,1261},{0,6,805},{0,5,322},{0,4,833},{4,0,1261},{0,4,833},{0,7,0},{0,7,0},{0,7,0},{0,4,1},{0,3,225},{0,3,117},{0,3,117},{0,2,125},{0,2,257},{0,2,161},{0,7,0},{0,7,0},{0,7,0},{0,4,1},{1,0,221},
{0,3,117},{0,3,117},{0,2,125},{1,1,221},{0,2,125},{3,2,421},{0,9,52},{0,6,10},{0,6,82},{3,2,421},{5,1,421},{0,6,82},{0,4,433},{5,1,421},{0,4,433},{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},{0,14,430},{0,11,29},{0,7,74},{0,7,46},{0,10,1514},{0,8,874},{0,6,307},
{0,5,917},{0,5,1814},{0,4,1074},{0,14,430},{0,11,29},{0,7,74},{0,7,46},{3,0,1514},{0,8,874},{0,6,307},{0,5,917},{5,0,1514},{0,5,917},{0,10,10},{0,10,10},{0,10,10},{0,6,10},{0,5,340},{0,5,160},{0,5,160},{0,3,169},{0,3,421},{0,3,250},{0,10,10},{0,10,10},{0,10,10},{0,6,10},{1,2,338},{0,5,160},{0,5,160},{0,3,169},{1,2,338},
{0,3,169},{4,1,421},{0,11,20},{1,7,5},{0,7,37},{4,1,421},{7,0,421},{0,7,37},{0,5,433},{7,0,421},{0,5,433},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,0},{0,1,0},{0,1,0},{0,1,4},{0,0,9},{0,0,9},{0,17,542},{0,13,130},{0,9,285},{0,8,137},{0,12,1517},{0,9,737},{0,7,185},{0,6,794},{0,7,1982},{0,5,1062},{1,13,450},
{1,11,77},{1,8,34},{1,7,122},{3,3,1517},{0,9,737},{0,7,185},{0,6,794},{2,5,1514},{0,6,794},{0,12,121},{0,12,121},{0,12,121},{0,7,125},{0,8,338},{0,6,98},{0,6,98},{0,4,97},{0,4,514},{0,4,241},{1,9,25},{1,9,25},{1,9,25},{1,6,26},{0,8,338},{0,6,98},{0,6,98},{0,4,97},{4,0,338},{0,4,97},{5,0,421},{0,13,9},{1,8,9},
{0,8,16},{5,0,421},{8,0,421},{0,8,16},{0,6,433},{8,0,421},{0,6,433},{0,0,121},{0,0,121},{0,0,121},{0,0,121},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,37},{0,2,37},{1,16,697},{1,13,297},{1,9,354},{1,9,309},{0,15,1517},{0,11,630},{0,9,50},{0,7,670},{0,8,2198},{0,6,1109},{1,16,441},{1,13,41},{1,9,98},{1,9,53},{4,2,1514},
{0,11,630},{0,9,50},{0,7,670},{6,2,1514},{0,7,670},{1,12,273},{1,12,273},{1,12,273},{1,8,273},{0,11,338},{0,8,41},{0,8,41},{0,5,50},{0,6,680},{0,5,275},{1,12,17},{1,12,17},{1,12,17},{1,8,17},{3,1,338},{0,8,41},{0,8,41},{0,5,50},{3,3,338},{0,5,50},{6,0,421},{0,15,1},{2,9,5},{0,9,1},{6,0,421},{5,6,421},{0,9,1},
{0,7,445},{5,6,421},{0,7,445},{1,0,272},{1,0,272},{1,0,272},{1,0,272},{0,7,1},{0,7,1},{0,7,1},{0,4,0},{0,3,106},{0,3,106},{1,19,821},{1,15,405},{1,11,570},{1,10,410},{0,18,1514},{0,13,577},{0,10,14},{0,8,602},{0,10,2462},{0,7,1175},{2,16,450},{2,13,77},{2,10,35},{2,10,107},{3,8,1514},{0,13,577},{0,10,14},{0,8,602},{4,6,1514},
{0,8,602},{1,14,401},{1,14,401},{1,14,401},{1,9,404},{0,13,340},{0,10,13},{0,10,13},{0,6,29},{0,7,851},{0,6,353},{2,11,25},{2,11,25},{2,11,25},{2,8,26},{4,0,338},{0,10,13},{0,10,13},{0,6,29},{1,7,338},{0,6,29},{5,6,421},{1,15,5},{2,10,10},{0,10,10},{5,6,421},{10,1,421},{0,10,10},{0,8,433},{10,1,421},{0,8,433},{1,0,400},
{1,0,400},{1,0,400},{1,0,400},{0,9,1},{0,9,1},{0,9,1},{0,6,4},{0,4,208},{0,4,208},{1,22,902},{1,17,485},{2,11,750},{1,11,482},{0,21,1566},{0,15,570},{0,11,95},{0,9,582},{0,11,2337},{0,9,933},{2,18,430},{2,15,29},{2,11,74},{2,11,46},{5,4,1514},{0,15,521},{0,11,46},{0,9,533},{9,1,1514},{0,9,533},{1,17,481},{1,17,481},{1,17,481},
{1,11,481},{0,16,387},{0,12,51},{0,12,51},{0,7,75},{0,8,755},{0,7,222},{2,14,10},{2,14,10},{2,14,10},{2,10,10},{3,6,338},{0,12,2},{0,12,2},{0,7,26},{3,6,338},{0,7,26},{7,2,421},{1,17,4},{3,11,5},{1,11,1},{7,2,421},{12,0,421},{1,11,1},{0,9,433},{12,0,421},{0,9,433},{1,0,481},{1,0,481},{1,0,481},{1,0,481},{0,12,50},
{0,12,50},{0,12,50},{0,7,50},{0,6,157},{0,6,157},{2,21,866},{2,17,454},{2,13,609},{2,12,461},{1,20,1515},{1,15,578},{1,12,19},{1,10,603},{0,13,2214},{0,10,707},{3,17,450},{3,15,77},{3,12,34},{3,11,122},{7,0,1514},{0,16,458},{1,12,18},{0,10,482},{4,9,1514},{0,10,482},{2,16,445},{2,16,445},{2,16,445},{2,11,449},{1,15,341},{1,12,19},{1,12,19},
{1,8,26},{0,10,635},{0,8,106},{3,13,25},{3,13,25},{3,13,25},{3,10,26},{5,2,338},{0,14,2},{0,14,2},{0,9,20},{8,1,338},{0,9,20},{7,4,421},{2,17,9},{3,12,9},{1,12,9},{7,4,421},{11,3,421},{1,12,9},{0,10,433},{11,3,421},{0,10,433},{2,0,445},{2,0,445},{2,0,445},{2,0,445},{1,11,2},{1,11,2},{1,11,2},{1,7,10},{0,8,90},
{0,8,90},{2,24,902},{2,19,482},{3,13,723},{2,13,482},{1,23,1578},{1,17,566},{1,14,117},{1,11,590},{0,15,2046},{0,11,535},{3,20,441},{3,17,41},{3,13,98},{3,13,53},{7,3,1514},{0,18,429},{2,13,50},{0,11,454},{11,2,1514},{0,11,454},{2,19,481},{2,19,481},{2,19,481},{2,13,481},{1,18,404},{1,14,68},{1,14,68},{1,10,89},{0,12,557},{0,10,49},{3,16,17},
{3,16,17},{3,16,17},{3,12,17},{5,5,338},{1,14,4},{1,14,4},{0,10,13},{5,7,338},{0,10,13},{8,2,421},{2,19,1},{4,13,5},{2,13,1},{8,2,421},{14,1,421},{2,13,1},{0,11,445},{14,1,421},{0,11,445},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{1,14,64},{1,14,64},{1,14,64},{1,9,65},{0,10,40},{0,10,40},{3,23,854},{3,19,438},{3,15,603},
{3,14,443},{2,22,1515},{2,17,578},{2,14,15},{2,12,603},{0,16,1911},{0,12,458},{4,20,450},{4,17,77},{4,14,35},{4,14,107},{5,12,1514},{0,20,425},{2,14,14},{0,12,433},{13,1,1514},{0,12,433},{3,18,434},{3,18,434},{3,18,434},{3,13,437},{2,17,341},{2,14,14},{2,14,14},{2,10,30},{0,14,477},{0,11,35},{4,15,25},{4,15,25},{4,15,25},{4,12,26},{7,1,338},
{1,16,5},{1,16,5},{1,11,10},{10,2,338},{1,11,10},{8,5,421},{3,19,5},{4,14,10},{2,14,10},{8,5,421},{12,5,421},{2,14,10},{0,12,433},{12,5,421},{0,12,433},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{2,13,2},{2,13,2},{2,13,2},{2,10,5},{0,12,25},{0,12,25},{3,26,902},{3,21,485},{4,15,750},{3,15,482},{2,25,1566},{2,19,570},{2,15,95},
{2,13,582},{0,18,1787},{0,13,442},{4,22,430},{4,19,29},{4,15,74},{4,15,46},{8,3,1514},{1,20,425},{2,15,46},{0,13,442},{11,5,1514},{0,13,442},{3,21,481},{3,21,481},{3,21,481},{3,15,481},{2,20,387},{2,16,51},{2,16,51},{2,11,75},{0,16,419},{1,12,69},{4,18,10},{4,18,10},{4,18,10},{4,14,10},{5,10,338},{2,16,2},{2,16,2},{1,12,20},{12,1,338},
{1,12,20},{9,4,421},{3,21,4},{5,15,5},{3,15,1},{9,4,421},{15,3,421},{3,15,1},{0,13,433},{15,3,421},{0,13,433},{3,0,481},{3,0,481},{3,0,481},{3,0,481},{2,16,50},{2,16,50},{2,16,50},{2,11,50},{0,13,9},{0,13,9},{4,25,866},{4,21,454},{4,17,609},{4,16,461},{3,24,1515},{3,19,578},{3,16,19},{3,14,603},{0,20,1686},{1,14,458},{5,21,450},
{5,19,77},{5,16,34},{5,15,122},{3,24,1514},{1,22,425},{3,16,18},{1,14,433},{14,3,1514},{1,14,433},{4,20,445},{4,20,445},{4,20,445},{4,15,449},{3,19,341},{3,16,19},{3,16,19},{3,12,26},{0,17,372},{1,13,45},{5,17,25},{5,17,25},{5,17,25},{5,14,26},{8,1,338},{2,18,2},{2,18,2},{2,13,20},{10,5,338},{2,13,20},{11,0,421},{4,21,9},{5,16,9},
{3,16,9},{11,0,421},{13,7,421},{3,16,9},{0,14,433},{13,7,421},{0,14,433},{4,0,445},{4,0,445},{4,0,445},{4,0,445},{3,15,2},{3,15,2},{3,15,2},{3,11,10},{0,15,5},{0,15,5},{4,28,902},{4,23,482},{5,17,723},{4,17,482},{3,27,1578},{3,21,566},{3,18,117},{3,15,590},{0,22,1614},{1,15,462},{5,24,441},{5,21,41},{5,17,98},{5,17,53},{5,20,1514},
{2,22,429},{4,17,50},{2,15,454},{13,6,1514},{2,15,454},{4,23,481},{4,23,481},{4,23,481},{4,17,481},{3,22,404},{3,18,68},{3,18,68},{3,14,89},{0,19,347},{2,14,49},{5,20,17},{5,20,17},{5,20,17},{5,16,17},{8,4,338},{3,18,4},{3,18,4},{2,14,13},{14,2,338},{2,14,13},{11,3,421},{4,23,1},{6,17,5},{4,17,1},{11,3,421},{15,6,421},{4,17,1},
{0,15,445},{15,6,421},{0,15,445},{4,0,481},{4,0,481},{4,0,481},{4,0,481},{3,18,64},{3,18,64},{3,18,64},{3,13,65},{1,16,8},{1,16,8},{5,27,854},{5,23,438},{5,19,603},{5,18,443},{4,26,1515},{4,21,578},{4,18,15},{4,16,603},{0,23,1566},{2,16,458},{6,24,450},{6,21,77},{6,18,35},{6,18,107},{11,1,1514},{2,24,425},{4,18,14},{2,16,433},{15,5,1514},
{2,16,433},{5,22,434},{5,22,434},{5,22,434},{5,17,437},{4,21,341},{4,18,14},{4,18,14},{4,14,30},{0,21,341},{2,15,35},{6,19,25},{6,19,25},{6,19,25},{6,16,26},{3,25,338},{3,20,5},{3,20,5},{3,15,10},{12,6,338},{3,15,10},{12,2,421},{5,23,5},{6,18,10},{4,18,10},{12,2,421},{14,9,421},{4,18,10},{0,16,433},{14,9,421},{0,16,433},{5,0,433},
{5,0,433},{5,0,433},{5,0,433},{4,17,2},{4,17,2},{4,17,2},{4,14,5},{1,17,10},{1,17,10},{5,30,902},{5,25,485},{6,19,750},{5,19,482},{4,29,1566},{4,23,570},{4,19,95},{4,17,582},{0,25,1533},{2,17,442},{6,26,430},{6,23,29},{6,19,74},{6,19,46},{10,7,1514},{3,24,425},{4,19,46},{2,17,442},{13,9,1514},{2,17,442},{5,25,481},{5,25,481},{5,25,481},
{5,19,481},{4,24,387},{4,20,51},{4,20,51},{4,15,75},{1,21,341},{3,16,69},{6,22,10},{6,22,10},{6,22,10},{6,18,10},{9,6,338},{4,20,2},{4,20,2},{3,16,20},{14,5,338},{3,16,20},{11,8,421},{5,25,4},{7,19,5},{5,19,1},{11,8,421},{11,14,421},{5,19,1},{0,17,433},{11,14,421},{0,17,433},{5,0,481},{5,0,481},{5,0,481},{5,0,481},{4,20,50},
{4,20,50},{4,20,50},{4,15,50},{2,17,9},{2,17,9},{6,29,866},{6,25,454},{6,21,609},{6,20,461},{5,28,1515},{5,23,578},{5,20,19},{5,18,603},{0,27,1521},{3,18,458},{7,25,450},{7,23,77},{7,20,34},{7,19,122},{12,3,1514},{3,26,425},{5,20,18},{3,18,433},{11,13,1514},{3,18,433},{6,24,445},{6,24,445},{6,24,445},{6,19,449},{5,23,341},{5,20,19},{5,20,19},
{5,16,26},{1,23,341},{3,17,45},{7,21,25},{7,21,25},{7,21,25},{7,18,26},{10,5,338},{4,22,2},{4,22,2},{4,17,20},{12,9,338},{4,17,20},{13,4,421},{6,25,9},{7,20,9},{5,20,9},{13,4,421},{15,11,421},{5,20,9},{0,18,433},{15,11,421},{0,18,433},{6,0,445},{6,0,445},{6,0,445},{6,0,445},{5,19,2},{5,19,2},{5,19,2},{5,15,10},{2,19,5},
{2,19,5},{6,31,914},{6,27,482},{7,21,723},{6,21,482},{5,31,1578},{5,25,566},{5,22,117},{5,19,590},{1,27,1535},{3,19,462},{7,28,441},{7,25,41},{7,21,98},{7,21,53},{8,19,1514},{4,26,429},{6,21,50},{4,19,454},{15,10,1514},{4,19,454},{6,27,481},{6,27,481},{6,27,481},{6,21,481},{5,26,404},{5,22,68},{5,22,68},{5,18,89},{2,23,347},{4,18,49},{7,24,17},
{7,24,17},{7,24,17},{7,20,17},{10,8,338},{5,22,4},{5,22,4},{4,18,13},{11,12,338},{4,18,13},{15,0,421},{6,27,1},{8,21,50},{6,21,1},{15,0,421},{13,15,421},{6,21,1},{0,19,445},{13,15,421},{0,19,445},{6,0,481},{6,0,481},{6,0,481},{6,0,481},{5,22,64},{5,22,64},{5,22,64},{5,17,65},{3,20,8},{3,20,8},{7,31,854},{7,27,438},{7,23,603},
{7,22,443},{6,30,1515},{6,25,578},{6,22,15},{6,20,603},{1,29,1518},{4,20,458},{7,31,565},{7,27,149},{8,22,174},{7,22,154},{13,5,1514},{4,28,425},{6,22,14},{4,20,433},{12,15,1514},{4,20,433},{7,26,434},{7,26,434},{7,26,434},{7,21,437},{6,25,341},{6,22,14},{6,22,14},{6,18,30},{2,25,341},{4,19,35},{7,26,145},{7,26,145},{7,26,145},{7,21,148},{9,14,338},
{5,24,5},{5,24,5},{5,19,10},{14,10,338},{5,19,10},{15,3,421},{7,27,5},{8,22,5},{6,22,10},{15,3,421},{15,14,421},{6,22,10},{0,20,433},{15,14,421},{0,20,433},{7,0,433},{7,0,433},{7,0,433},{7,0,433},{6,21,2},{6,21,2},{6,21,2},{6,18,5},{3,21,10},{3,21,10},{7,31,1046},{7,29,485},{7,24,770},{7,23,482},{7,29,1598},{6,27,570},{6,23,95},
{6,21,582},{2,29,1533},{4,21,442},{8,28,450},{8,26,77},{8,23,35},{8,23,107},{15,1,1514},{5,28,425},{6,23,46},{4,21,442},{15,13,1514},{4,21,442},{7,29,481},{7,29,481},{7,29,481},{7,23,481},{6,28,387},{6,24,51},{6,24,51},{6,19,75},{3,25,341},{5,20,69},{8,24,25},{8,24,25},{8,24,25},{8,21,26},{11,10,338},{6,24,2},{6,24,2},{5,20,20},{5,23,338},
{5,20,20},{13,12,421},{7,29,4},{8,23,10},{7,23,1},{13,12,421},{13,18,421},{7,23,1},{0,21,433},{13,18,421},{0,21,433},{7,0,481},{7,0,481},{7,0,481},{7,0,481},{6,24,50},{6,24,50},{6,24,50},{6,19,50},{4,21,9},{4,21,9},{8,31,1106},{8,28,714},{8,24,749},{8,24,734},{7,31,1542},{7,27,578},{7,24,19},{7,22,603},{2,31,1521},{5,22,458},{8,31,430},
{8,28,38},{8,24,73},{8,24,58},{14,7,1514},{5,30,425},{7,24,18},{5,22,433},{13,17,1514},{5,22,433},{8,27,686},{8,27,686},{8,27,686},{8,23,686},{7,27,341},{7,24,19},{7,24,19},{7,20,26},{3,27,341},{5,21,45},{8,27,10},{8,27,10},{8,27,10},{8,23,10},{12,9,338},{6,26,2},{6,26,2},{6,21,20},{14,13,338},{6,21,20},{15,8,421},{7,31,20},{9,24,4},
{7,24,9},{15,8,421},{15,17,421},{7,24,9},{0,22,433},{15,17,421},{0,22,433},{8,0,685},{8,0,685},{8,0,685},{8,0,685},{7,23,2},{7,23,2},{7,23,2},{7,19,10},{4,23,5},{4,23,5},{8,31,1034},{8,30,438},{8,26,603},{8,25,443},{8,30,1806},{7,29,566},{7,26,117},{7,23,590},{3,31,1535},{5,23,462},{9,31,437},{9,28,77},{9,25,33},{9,25,98},{10,23,1514},
{6,30,429},{7,26,53},{6,23,454},{11,21,1514},{6,23,454},{8,29,434},{8,29,434},{8,29,434},{8,24,437},{7,30,404},{7,26,68},{7,26,68},{7,22,89},{4,27,347},{6,22,49},{9,26,17},{9,26,17},{9,26,17},{9,23,20},{15,2,338},{7,26,4},{7,26,4},{6,22,13},{13,16,338},{6,22,13},{15,11,421},{8,30,5},{9,25,17},{8,25,10},{15,11,421},{15,19,421},{8,25,10},
{0,23,445},{15,19,421},{0,23,445},{8,0,433},{8,0,433},{8,0,433},{8,0,433},{7,26,64},{7,26,64},{7,26,64},{7,21,65},{5,24,8},{5,24,8},{9,31,1174},{8,31,506},{9,26,723},{8,26,482},{8,31,1643},{7,30,717},{8,26,131},{7,24,725},{4,31,1566},{6,24,458},{9,31,549},{9,30,41},{9,26,98},{9,26,53},{15,9,1514},{7,30,461},{8,26,50},{6,24,433},{14,19,1514},
{6,24,433},{8,31,490},{8,31,490},{8,31,490},{8,26,481},{8,28,421},{8,25,122},{8,25,122},{8,22,131},{4,29,341},{6,23,35},{9,29,17},{9,29,17},{9,29,17},{9,25,17},{11,18,338},{7,28,5},{7,28,5},{7,23,10},{10,21,338},{7,23,10},{14,17,421},{9,30,25},{10,26,5},{8,26,1},{14,17,421},{13,23,421},{8,26,1},{0,24,433},{13,23,421},{0,24,433},{8,0,481},
{8,0,481},{8,0,481},{8,0,481},{8,24,82},{8,24,82},{8,24,82},{8,21,81},{5,25,10},{5,25,10},{9,31,1334},{9,31,470},{9,28,597},{9,27,443},{9,31,1815},{8,30,578},{8,27,15},{8,25,603},{5,31,1638},{6,25,442},{10,31,506},{10,30,77},{10,27,35},{10,27,107},{14,15,1514},{7,31,506},{8,27,14},{6,25,442},{12,23,1514},{6,25,442},{9,31,434},{9,31,434},{9,31,434},
{9,26,437},{8,30,341},{8,27,14},{8,27,14},{8,23,30},{5,29,341},{7,24,69},{10,28,25},{10,28,25},{10,28,25},{10,25,26},{13,14,338},{8,27,13},{8,27,13},{7,24,20},{8,25,338},{7,24,20},{15,16,421},{9,31,37},{10,27,10},{8,27,10},{15,16,421},{15,22,421},{8,27,10},{0,25,433},{15,22,421},{0,25,433},{9,0,433},{9,0,433},{9,0,433},{9,0,433},{8,26,2},
{8,26,2},{8,26,2},{8,23,5},{6,25,9},{6,25,9},{10,31,1470},{10,31,735},{10,28,749},{9,28,481},{9,31,1895},{8,31,579},{8,28,89},{8,26,582},{6,31,1761},{7,26,458},{11,31,614},{10,31,59},{10,28,73},{10,28,58},{13,21,1514},{8,31,530},{8,28,40},{7,26,433},{15,21,1514},{7,26,433},{9,31,562},{9,31,562},{9,31,562},{9,28,481},{9,30,421},{8,29,51},{8,29,51},
{8,24,65},{5,31,341},{7,25,45},{10,31,10},{10,31,10},{10,31,10},{10,27,10},{14,13,338},{8,29,2},{8,29,2},{8,24,16},{11,23,338},{8,24,16},{15,19,421},{10,31,50},{11,28,4},{9,28,0},{15,19,421},{13,26,421},{9,28,0},{0,26,433},{13,26,421},{0,26,433},{9,0,481},{9,0,481},{9,0,481},{9,0,481},{8,29,50},{8,29,50},{8,29,50},{8,24,49},{6,27,5},
{6,27,5},{11,31,1838},{10,31,753},{10,30,603},{10,29,443},{10,31,2046},{9,31,629},{9,29,21},{9,27,589},{7,31,1935},{7,27,462},{11,31,749},{11,31,120},{11,29,33},{11,29,98},{12,27,1514},{9,31,629},{9,29,21},{7,27,461},{13,25,1514},{7,27,461},{10,31,497},{10,31,497},{10,31,497},{10,28,437},{9,31,388},{9,29,20},{9,29,20},{9,25,29},{6,31,347},{8,25,105},{11,30,17},
{11,30,17},{11,30,17},{11,27,20},{14,16,338},{8,31,4},{8,31,4},{8,26,10},{15,20,338},{8,26,10},{14,25,421},{11,31,104},{11,29,17},{10,29,10},{14,25,421},{12,29,421},{10,29,10},{0,27,445},{12,29,421},{0,27,445},{10,0,433},{10,0,433},{10,0,433},{10,0,433},{9,28,1},{9,28,1},{9,28,1},{9,25,4},{7,28,8},{7,28,8},{11,31,1902},{11,31,1001},{11,30,723},
{10,30,482},{11,31,2286},{10,31,782},{9,31,117},{9,28,578},{8,31,2118},{7,29,491},{12,31,770},{12,31,338},{11,30,98},{11,30,53},{14,23,1514},{10,31,701},{10,30,50},{8,28,442},{11,29,1514},{8,28,442},{11,31,677},{11,31,677},{11,31,677},{10,30,481},{10,31,437},{9,31,68},{9,31,68},{9,27,89},{7,31,379},{8,27,49},{11,31,52},{11,31,52},{11,31,52},{11,29,17},{13,22,338},
{9,31,4},{9,31,4},{8,27,13},{12,25,338},{8,27,13},{15,24,421},{12,31,169},{12,30,5},{10,30,1},{15,24,421},{15,27,421},{10,30,1},{0,28,433},{15,27,421},{0,28,433},{10,0,481},{10,0,481},{10,0,481},{10,0,481},{9,31,64},{9,31,64},{9,31,64},{9,26,65},{7,29,10},{7,29,10},{12,31,2151},{11,31,1254},{11,31,629},{11,31,442},{11,31,2393},{10,31,975},{10,31,14},
{10,29,570},{9,31,2241},{8,29,425},{13,31,931},{12,31,395},{12,31,34},{12,30,105},{13,29,1459},{11,31,778},{10,31,13},{8,29,400},{14,27,1459},{8,29,400},{11,31,629},{11,31,629},{11,31,629},{11,30,437},{10,31,581},{10,31,14},{10,31,14},{10,27,30},{8,31,477},{8,28,45},{12,31,34},{12,31,34},{12,31,34},{12,29,26},{15,18,338},{10,31,13},{10,31,13},{9,28,17},{10,29,338},
{9,28,17},{15,27,394},{13,31,218},{12,31,9},{10,31,9},{15,27,394},{15,28,394},{10,31,9},{0,29,400},{15,28,394},{0,29,400},{11,0,433},{11,0,433},{11,0,433},{11,0,433},{10,30,2},{10,30,2},{10,30,2},{10,27,5},{8,29,25},{8,29,25},{12,31,1767},{12,31,1167},{12,31,806},{11,31,506},{12,31,1983},{11,31,747},{11,31,122},{10,29,346},{10,31,1836},{8,30,217},{13,31,611},
{13,31,339},{12,31,130},{12,31,10},{15,24,1064},{12,31,587},{11,31,41},{8,30,217},{15,27,1067},{8,30,217},{12,31,806},{12,31,806},{12,31,806},{11,31,506},{11,31,581},{11,31,122},{11,31,122},{10,28,65},{9,31,557},{9,29,69},{12,31,130},{12,31,130},{12,31,130},{12,31,10},{13,27,338},{11,31,41},{11,31,41},{10,28,16},{13,27,338},{10,28,16},{14,31,200},{14,31,136},{13,31,1},
{12,31,1},{14,31,200},{15,29,200},{12,31,1},{0,30,208},{15,29,200},{0,30,208},{11,0,481},{11,0,481},{11,0,481},{11,0,481},{11,30,82},{11,30,82},{11,30,82},{10,28,49},{8,30,9},{8,30,9},{13,31,1646},{12,31,1194},{12,31,833},{12,31,497},{12,31,1686},{12,31,750},{11,31,221},{11,30,122},{11,31,1541},{9,30,110},{14,31,542},{13,31,285},{13,31,116},{13,31,20},{15,26,722},
{13,31,429},{12,31,100},{10,30,74},{14,29,722},{10,30,74},{12,31,833},{12,31,833},{12,31,833},{12,31,497},{12,31,725},{11,31,221},{11,31,221},{11,29,29},{10,31,632},{9,30,46},{13,31,116},{13,31,116},{13,31,116},{13,31,20},{13,30,338},{12,31,100},{12,31,100},{10,30,10},{12,30,338},{10,30,10},{15,29,61},{14,31,37},{14,31,1},{13,31,4},{15,29,61},{15,30,61},{13,31,4},
{0,30,73},{15,30,61},{0,30,73},{12,0,433},{12,0,433},{12,0,433},{12,0,433},{11,31,25},{11,31,25},{11,31,25},{11,29,4},{9,31,17},{9,31,17},{13,31,1406},{13,31,1134},{13,31,965},{12,31,737},{13,31,1454},{12,31,702},{12,31,341},{11,31,89},{11,31,1381},{10,31,49},{14,31,318},{14,31,254},{14,31,218},{13,31,116},{14,31,510},{13,31,333},{13,31,164},{10,31,13},{14,30,509},
{10,31,13},{13,31,965},{13,31,965},{13,31,965},{12,31,737},{12,31,869},{12,31,341},{12,31,341},{11,31,89},{11,31,756},{10,31,49},{14,31,218},{14,31,218},{14,31,218},{13,31,116},{15,26,338},{13,31,164},{13,31,164},{10,31,13},{14,29,338},{10,31,13},{15,30,9},{15,31,9},{15,31,9},{14,31,9},{15,30,9},{15,31,9},{14,31,9},{0,31,9},{15,31,9},{0,31,9},{12,0,481},
{12,0,481},{12,0,481},{12,0,481},{12,31,85},{12,31,85},{12,31,85},{11,30,65},{10,31,40},{10,31,40},{13,31,1315},{13,31,1043},{13,31,874},{13,31,602},{13,31,1171},{13,31,627},{13,31,458},{12,31,5},{12,31,1087},{11,31,80},{14,31,225},{14,31,161},{14,31,125},{14,31,61},{15,29,297},{14,31,193},{14,31,157},{12,31,4},{14,31,297},{12,31,4},{13,31,874},{13,31,874},{13,31,874},
{13,31,602},{13,31,730},{13,31,458},{13,31,458},{12,31,5},{11,31,705},{11,31,80},{14,31,125},{14,31,125},{14,31,125},{14,31,61},{14,31,221},{14,31,157},{14,31,157},{12,31,4},{15,29,221},{12,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{13,0,433},{13,0,433},{13,0,433},{13,0,433},{12,31,101},
{12,31,101},{12,31,101},{12,31,5},{11,31,80},{11,31,80},{14,31,885},{14,31,821},{14,31,785},{13,31,650},{14,31,885},{13,31,483},{13,31,314},{13,31,81},{13,31,779},{11,31,144},{15,31,169},{14,31,145},{14,31,109},{14,31,45},{15,30,118},{14,31,81},{14,31,45},{13,31,0},{15,30,114},{13,31,0},{14,31,785},{14,31,785},{14,31,785},{13,31,650},{13,31,586},{13,31,314},{13,31,314},
{13,31,81},{12,31,518},{11,31,144},{14,31,109},{14,31,109},{14,31,109},{14,31,45},{15,29,85},{14,31,45},{14,31,45},{13,31,0},{14,31,85},{13,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{13,0,481},{13,0,481},{13,0,481},{13,0,481},{13,31,145},{13,31,145},{13,31,145},{13,31,81},{11,31,144},
{11,31,144},{0,13,884},{0,10,225},{0,7,18},{0,6,265},{0,9,1899},{0,7,1355},{0,6,589},{0,4,1354},{0,5,2124},{0,4,1498},{0,13,884},{0,10,225},{0,7,18},{0,6,265},{2,2,1896},{0,7,1355},{0,6,589},{0,4,1354},{1,4,1896},{0,4,1354},{0,6,0},{0,6,0},{0,6,0},{0,4,4},{0,3,162},{0,3,90},{0,3,90},{0,2,104},{0,2,200},{0,1,134},{0,6,0},
{0,6,0},{0,6,0},{0,4,4},{0,3,162},{0,3,90},{0,3,90},{0,2,104},{0,2,164},{0,2,104},{3,3,882},{0,10,225},{0,7,18},{0,6,265},{3,3,882},{4,3,882},{0,6,265},{0,5,890},{4,3,882},{0,5,890},{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},{0,15,884},{0,12,170},{0,8,8},
{0,7,202},{0,10,2360},{0,8,1530},{0,7,643},{0,5,1579},{0,6,2684},{0,5,1804},{0,15,884},{0,12,170},{0,8,8},{0,7,202},{1,7,2355},{0,8,1530},{0,7,643},{0,5,1579},{1,5,2355},{0,5,1579},{0,9,1},{0,9,1},{0,9,1},{0,5,1},{0,4,340},{0,4,180},{0,4,180},{0,2,200},{0,2,392},{0,2,236},{0,9,1},{0,9,1},{0,9,1},{0,5,1},{1,1,338},
{0,4,180},{0,4,180},{0,2,200},{2,0,340},{0,2,200},{4,2,882},{0,12,170},{0,8,8},{0,7,202},{4,2,882},{6,2,882},{0,7,202},{0,6,890},{6,2,882},{0,6,890},{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},{0,18,882},{0,14,106},{0,10,52},{0,9,148},{0,12,2899},{0,9,1773},{0,8,725},
{0,6,1854},{0,7,3348},{0,5,2124},{0,18,882},{0,14,106},{0,10,52},{0,9,148},{1,9,2899},{0,9,1773},{0,8,725},{0,6,1854},{6,0,2899},{0,6,1854},{0,11,1},{0,11,1},{0,11,1},{0,7,1},{0,6,580},{0,5,306},{0,5,306},{0,3,325},{0,3,667},{0,3,406},{0,11,1},{0,11,1},{0,11,1},{0,7,1},{1,2,580},{0,5,306},{0,5,306},{0,3,325},{2,1,578},
{0,3,325},{3,8,882},{0,14,106},{1,9,13},{0,9,148},{3,8,882},{4,6,882},{0,9,148},{0,7,890},{4,6,882},{0,7,890},{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},{0,21,920},{0,16,89},{0,11,153},{0,10,121},{0,14,3051},{0,11,1709},{0,9,557},{0,7,1795},{0,8,3651},{0,6,2174},{0,21,920},
{0,16,89},{1,10,108},{0,10,121},{4,1,3048},{0,11,1709},{0,9,557},{0,7,1795},{3,5,3048},{0,7,1795},{0,14,37},{0,14,37},{0,14,37},{0,8,37},{0,8,648},{0,7,274},{0,7,274},{0,4,277},{0,4,824},{0,4,421},{0,14,37},{0,14,37},{0,14,37},{0,8,37},{0,8,648},{0,7,274},{0,7,274},{0,4,277},{4,0,648},{0,4,277},{5,4,882},{0,16,53},{1,10,8},
{0,10,85},{5,4,882},{9,1,882},{0,10,85},{0,8,900},{9,1,882},{0,8,900},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,10},{0,1,10},{0,23,1115},{0,18,242},{1,12,309},{0,11,259},{0,17,3051},{0,13,1579},{0,10,346},{0,8,1630},{0,9,3924},{0,7,2173},{1,20,885},{1,16,90},{1,12,53},{1,11,131},{4,4,3048},
{0,13,1579},{0,10,346},{0,8,1630},{7,2,3048},{0,8,1630},{0,17,226},{0,17,226},{0,17,226},{0,10,225},{0,11,648},{0,9,169},{0,9,169},{0,5,200},{0,6,990},{0,5,425},{1,13,2},{1,13,2},{1,13,2},{1,9,2},{3,1,648},{0,9,169},{0,9,169},{0,5,200},{3,3,648},{0,5,200},{5,7,882},{0,18,17},{2,11,18},{0,11,34},{5,7,882},{6,7,882},{0,11,34},
{0,9,890},{6,7,882},{0,9,890},{0,0,225},{0,0,225},{0,0,225},{0,0,225},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,61},{0,2,61},{1,23,1187},{1,18,350},{1,13,422},{1,12,373},{0,20,3048},{0,15,1443},{0,12,204},{0,9,1483},{0,11,4212},{0,8,2174},{1,23,931},{1,18,94},{2,12,108},{1,12,117},{6,0,3048},{0,15,1443},{0,12,204},{0,9,1483},{5,6,3048},
{0,9,1483},{1,16,305},{1,16,305},{1,16,305},{1,10,309},{0,13,650},{0,11,109},{0,11,109},{0,7,148},{0,7,1161},{0,6,473},{1,16,49},{1,16,49},{1,16,49},{1,10,53},{4,0,648},{0,11,109},{0,11,109},{0,7,148},{1,7,648},{0,7,148},{7,3,882},{0,20,8},{2,12,8},{0,12,8},{7,3,882},{11,2,882},{0,12,8},{0,10,890},{11,2,882},{0,10,890},{1,0,305},
{1,0,305},{1,0,305},{1,0,305},{0,8,1},{0,8,1},{0,8,1},{0,5,4},{0,3,145},{0,3,145},{1,25,1365},{1,20,497},{1,14,713},{1,13,510},{0,23,3051},{0,16,1278},{0,13,86},{0,10,1354},{0,12,4609},{0,9,2228},{2,22,886},{2,18,110},{2,14,56},{2,13,152},{5,6,3048},{0,16,1278},{0,13,86},{0,10,1354},{10,1,3048},{0,10,1354},{1,19,482},{1,19,482},{1,19,482},
{1,12,481},{0,16,648},{0,12,72},{0,12,72},{0,8,101},{0,8,1352},{0,7,557},{2,15,5},{2,15,5},{2,15,5},{2,11,5},{3,6,648},{0,12,72},{0,12,72},{0,8,101},{3,6,648},{0,8,101},{5,12,882},{0,21,10},{3,13,13},{0,13,5},{5,12,882},{13,1,882},{0,13,5},{0,11,890},{13,1,882},{0,11,890},{1,0,481},{1,0,481},{1,0,481},{1,0,481},{0,10,1},
{0,10,1},{0,10,1},{0,6,1},{0,5,261},{0,5,261},{1,28,1667},{1,22,793},{1,15,1182},{1,14,793},{0,25,3048},{0,18,1170},{0,14,36},{0,11,1243},{0,14,5005},{0,10,2318},{2,25,920},{2,20,89},{3,14,108},{2,14,121},{7,2,3048},{0,18,1170},{0,14,36},{0,11,1243},{12,0,3048},{0,11,1243},{1,21,786},{1,21,786},{1,21,786},{1,14,789},{0,19,650},{0,14,32},{0,14,32},
{0,9,50},{0,9,1619},{0,8,661},{2,18,37},{2,18,37},{2,18,37},{2,12,37},{5,2,648},{0,14,32},{0,14,32},{0,9,50},{8,1,648},{0,9,50},{8,3,882},{1,22,8},{3,14,8},{1,14,8},{8,3,882},{11,5,882},{1,14,8},{0,12,900},{11,5,882},{0,12,900},{1,0,785},{1,0,785},{1,0,785},{1,0,785},{0,13,1},{0,13,1},{0,13,1},{0,8,4},{0,6,405},
{0,6,405},{2,27,1844},{2,22,971},{2,16,1186},{2,15,988},{0,28,3084},{0,20,1095},{0,16,77},{0,12,1159},{0,16,4945},{0,12,2084},{3,24,885},{3,20,90},{3,16,53},{3,15,131},{6,8,3048},{0,20,1059},{0,16,41},{0,12,1123},{4,12,3048},{0,12,1123},{2,21,955},{2,21,955},{2,21,955},{2,14,954},{0,22,686},{0,16,41},{0,16,41},{0,10,49},{0,11,1577},{0,9,545},{3,17,2},
{3,17,2},{3,17,2},{3,13,2},{5,5,648},{0,16,5},{0,16,5},{0,10,13},{5,7,648},{0,10,13},{8,6,882},{1,24,9},{4,15,18},{1,15,13},{8,6,882},{15,2,882},{1,15,13},{0,13,890},{15,2,882},{0,13,890},{2,0,954},{2,0,954},{2,0,954},{2,0,954},{0,16,37},{0,16,37},{0,16,37},{0,9,40},{0,8,373},{0,8,373},{2,30,1772},{2,24,898},{2,17,1287},
{2,16,898},{1,27,3055},{1,20,1143},{1,16,33},{1,13,1214},{0,17,4639},{0,13,1730},{3,27,931},{3,22,94},{4,16,108},{3,16,117},{5,14,3048},{0,21,996},{1,16,29},{0,13,1054},{14,1,3048},{0,13,1054},{2,23,891},{2,23,891},{2,23,891},{2,16,894},{1,21,652},{1,16,29},{1,16,29},{1,11,44},{0,13,1452},{0,11,365},{3,20,49},{3,20,49},{3,20,49},{3,14,53},{7,1,648},
{0,18,1},{0,18,1},{0,11,4},{10,2,648},{0,11,4},{5,20,882},{2,24,8},{4,16,8},{2,16,8},{5,20,882},{13,6,882},{2,16,8},{0,14,890},{13,6,882},{0,14,890},{2,0,890},{2,0,890},{2,0,890},{2,0,890},{1,15,4},{1,15,4},{1,15,4},{1,10,5},{0,9,269},{0,9,269},{3,29,1838},{3,24,970},{3,18,1186},{3,17,983},{1,30,3084},{1,22,1095},{1,18,77},
{1,14,1159},{0,19,4419},{0,14,1444},{4,26,886},{4,22,110},{4,18,56},{4,17,152},{8,5,3048},{0,23,936},{1,18,41},{0,14,1003},{12,5,3048},{0,14,1003},{3,23,955},{3,23,955},{3,23,955},{3,16,954},{1,23,692},{1,18,41},{1,18,41},{1,12,46},{0,15,1296},{0,12,235},{4,19,5},{4,19,5},{4,19,5},{4,15,5},{5,10,648},{1,18,5},{1,18,5},{0,12,10},{12,1,648},
{0,12,10},{11,1,882},{2,25,10},{5,17,13},{2,17,5},{11,1,882},{15,5,882},{2,17,5},{0,15,890},{15,5,882},{0,15,890},{3,0,954},{3,0,954},{3,0,954},{3,0,954},{1,18,37},{1,18,37},{1,18,37},{1,11,40},{0,11,185},{0,11,185},{3,31,1790},{3,26,898},{3,19,1287},{3,18,898},{2,29,3057},{2,22,1179},{2,18,45},{1,15,1250},{0,20,4156},{0,15,1226},{4,29,920},
{4,24,89},{5,18,108},{4,18,121},{3,26,3048},{0,25,909},{2,18,36},{0,15,970},{15,3,3048},{0,15,970},{3,25,891},{3,25,891},{3,25,891},{3,18,894},{2,23,659},{2,18,41},{2,18,41},{2,13,59},{0,16,1137},{0,13,137},{4,22,37},{4,22,37},{4,22,37},{4,16,37},{8,1,648},{1,20,2},{1,20,2},{1,13,1},{10,5,648},{1,13,1},{10,7,882},{3,26,8},{5,18,8},
{3,18,8},{10,7,882},{13,9,882},{3,18,8},{0,16,900},{13,9,882},{0,16,900},{3,0,890},{3,0,890},{3,0,890},{3,0,890},{2,17,10},{2,17,10},{2,17,10},{2,12,13},{0,13,136},{0,13,136},{4,31,1844},{4,26,971},{4,20,1186},{4,19,988},{2,31,3111},{2,24,1095},{2,20,77},{2,16,1159},{0,22,3940},{0,16,1055},{5,28,885},{5,24,90},{5,20,53},{5,19,131},{5,22,3048},
{0,27,886},{2,20,41},{0,17,926},{8,13,3048},{0,17,926},{4,25,955},{4,25,955},{4,25,955},{4,18,954},{2,26,686},{2,20,41},{2,20,41},{2,14,49},{0,18,1002},{0,15,110},{5,21,2},{5,21,2},{5,21,2},{5,17,2},{8,4,648},{2,20,5},{2,20,5},{2,14,13},{14,2,648},{2,14,13},{13,0,882},{3,28,9},{6,19,18},{3,19,13},{13,0,882},{5,21,882},{3,19,13},
{0,17,890},{5,21,882},{0,17,890},{4,0,954},{4,0,954},{4,0,954},{4,0,954},{2,20,37},{2,20,37},{2,20,37},{2,13,40},{0,15,74},{0,15,74},{4,31,1972},{4,28,898},{4,21,1287},{4,20,898},{3,31,3055},{3,24,1143},{3,20,33},{3,17,1214},{0,23,3820},{0,18,963},{5,31,931},{5,26,94},{6,20,108},{5,20,117},{11,3,3048},{0,28,899},{3,20,29},{0,18,899},{11,11,3048},
{0,18,899},{4,27,891},{4,27,891},{4,27,891},{4,20,894},{3,25,652},{3,20,29},{3,20,29},{3,15,44},{0,20,876},{0,16,102},{5,24,49},{5,24,49},{5,24,49},{5,18,53},{3,25,648},{2,22,1},{2,22,1},{2,15,4},{12,6,648},{2,15,4},{8,19,882},{4,28,8},{6,20,8},{4,20,8},{8,19,882},{15,10,882},{4,20,8},{0,18,890},{15,10,882},{0,18,890},{4,0,890},
{4,0,890},{4,0,890},{4,0,890},{3,19,4},{3,19,4},{3,19,4},{3,14,5},{0,17,29},{0,17,29},{5,31,1964},{5,28,970},{5,22,1186},{5,21,983},{4,31,3172},{3,26,1095},{3,22,77},{3,18,1159},{0,25,3679},{0,19,899},{6,30,886},{6,26,110},{6,22,56},{6,21,152},{10,9,3048},{1,29,888},{3,22,41},{0,19,890},{14,9,3048},{0,19,890},{5,27,955},{5,27,955},{5,27,955},
{5,20,954},{3,27,692},{3,22,41},{3,22,41},{3,16,46},{0,22,800},{1,16,98},{6,23,5},{6,23,5},{6,23,5},{6,19,5},{9,6,648},{3,22,5},{3,22,5},{2,16,10},{14,5,648},{2,16,10},{13,5,882},{4,29,10},{7,21,13},{4,21,5},{13,5,882},{12,15,882},{4,21,5},{0,19,890},{12,15,882},{0,19,890},{5,0,954},{5,0,954},{5,0,954},{5,0,954},{3,22,37},
{3,22,37},{3,22,37},{3,15,40},{0,19,9},{0,19,9},{6,31,2264},{5,30,898},{5,23,1287},{5,22,898},{4,31,3204},{4,26,1179},{4,22,45},{3,19,1250},{0,27,3523},{0,20,908},{6,31,968},{6,28,89},{7,22,108},{6,22,121},{9,15,3048},{1,30,899},{4,22,36},{0,20,904},{5,22,3048},{0,20,904},{5,29,891},{5,29,891},{5,29,891},{5,22,894},{4,27,659},{4,22,41},{4,22,41},
{4,17,59},{0,23,747},{1,18,102},{6,26,37},{6,26,37},{6,26,37},{6,20,37},{10,5,648},{3,24,2},{3,24,2},{3,17,1},{12,9,648},{3,17,1},{15,1,882},{5,30,8},{7,22,8},{5,22,8},{15,1,882},{15,13,882},{5,22,8},{0,20,900},{15,13,882},{0,20,900},{5,0,890},{5,0,890},{5,0,890},{5,0,890},{4,21,10},{4,21,10},{4,21,10},{4,16,13},{0,20,8},
{0,20,8},{6,31,2228},{6,30,971},{6,24,1186},{6,23,988},{5,31,3256},{4,28,1095},{4,24,77},{4,20,1159},{0,29,3364},{1,21,894},{7,31,915},{7,28,90},{7,24,53},{7,23,131},{14,1,3048},{2,31,886},{4,24,41},{1,21,890},{10,17,3048},{1,21,890},{6,29,955},{6,29,955},{6,29,955},{6,22,954},{4,30,686},{4,24,41},{4,24,41},{4,18,49},{0,25,705},{2,19,110},{7,25,2},
{7,25,2},{7,25,2},{7,21,2},{10,8,648},{4,24,5},{4,24,5},{4,18,13},{11,12,648},{4,18,13},{15,4,882},{6,30,17},{7,24,52},{5,23,13},{15,4,882},{9,22,882},{5,23,13},{0,21,890},{9,22,882},{0,21,890},{6,0,954},{6,0,954},{6,0,954},{6,0,954},{4,24,37},{4,24,37},{4,24,37},{4,17,40},{1,21,4},{1,21,4},{7,31,2444},{6,31,907},{6,25,1287},
{6,24,898},{6,31,3436},{5,28,1143},{5,24,33},{5,21,1214},{0,31,3276},{1,22,908},{8,30,1208},{7,30,94},{7,25,166},{7,24,117},{13,7,3048},{3,31,906},{5,24,29},{1,22,899},{13,15,3048},{1,22,899},{6,31,891},{6,31,891},{6,31,891},{6,24,894},{5,29,652},{5,24,29},{5,24,29},{5,19,44},{0,27,665},{2,20,102},{7,28,49},{7,28,49},{7,28,49},{7,22,53},{9,14,648},
{4,26,1},{4,26,1},{4,19,4},{14,10,648},{4,19,4},{10,23,882},{6,31,17},{8,24,13},{6,24,8},{10,23,882},{11,21,882},{6,24,8},{0,22,890},{11,21,882},{0,22,890},{6,0,890},{6,0,890},{6,0,890},{6,0,890},{5,23,4},{5,23,4},{5,23,4},{5,18,5},{1,23,4},{1,23,4},{7,31,2636},{7,31,991},{7,26,1186},{7,25,983},{6,31,3532},{5,30,1095},{5,26,77},
{5,22,1159},{0,31,3340},{2,23,899},{8,31,1014},{7,31,262},{8,25,108},{7,25,254},{15,3,3048},{4,31,936},{5,26,41},{2,23,890},{11,19,3048},{2,23,890},{7,31,955},{7,31,955},{7,31,955},{7,24,954},{5,31,692},{5,26,41},{5,26,41},{5,20,46},{0,29,651},{3,20,98},{8,26,101},{8,26,101},{8,26,101},{8,22,101},{11,10,648},{5,26,5},{5,26,5},{4,20,10},{5,23,648},
{4,20,10},{15,9,882},{7,31,37},{8,25,8},{6,25,5},{15,9,882},{14,19,882},{6,25,5},{0,23,890},{14,19,882},{0,23,890},{7,0,954},{7,0,954},{7,0,954},{7,0,954},{5,26,37},{5,26,37},{5,26,37},{5,19,40},{2,23,9},{2,23,9},{8,31,3110},{7,31,1135},{7,27,1287},{7,26,898},{7,31,3652},{6,30,1179},{6,26,45},{5,23,1250},{1,31,3492},{2,24,908},{8,31,1174},
{8,31,110},{8,27,56},{8,26,152},{11,19,3048},{5,31,996},{6,26,36},{2,24,904},{9,23,3048},{2,24,904},{7,31,939},{7,31,939},{7,31,939},{7,26,894},{6,31,659},{6,26,41},{6,26,41},{6,21,59},{1,29,659},{3,22,102},{8,28,4},{8,28,4},{8,28,4},{8,24,8},{12,9,648},{5,28,2},{5,28,2},{5,21,1},{14,13,648},{5,21,1},{14,15,882},{8,31,106},{9,26,13},
{7,26,8},{14,15,882},{12,23,882},{7,26,8},{0,24,900},{12,23,882},{0,24,900},{7,0,890},{7,0,890},{7,0,890},{7,0,890},{6,25,10},{6,25,10},{6,25,10},{6,20,13},{2,24,8},{2,24,8},{8,31,3038},{8,31,1470},{8,28,1391},{7,27,1137},{7,31,4120},{6,31,1146},{6,28,77},{6,24,1159},{3,31,3681},{3,25,894},{9,31,1205},{8,31,245},{9,27,99},{8,27,122},{10,25,3048},
{6,31,1110},{6,28,41},{3,25,890},{12,21,3048},{3,25,890},{8,31,1274},{8,31,1274},{8,31,1274},{7,27,1128},{7,30,750},{6,28,41},{6,28,41},{6,22,49},{1,31,648},{4,23,110},{8,31,49},{8,31,49},{8,31,49},{8,25,53},{15,2,648},{6,28,5},{6,28,5},{6,22,13},{13,16,648},{6,22,13},{14,18,882},{9,31,164},{9,27,18},{7,27,13},{14,18,882},{11,26,882},{7,27,13},
{0,25,890},{11,26,882},{0,25,890},{7,0,1124},{7,0,1124},{7,0,1124},{7,0,1124},{6,28,37},{6,28,37},{6,28,37},{6,21,40},{3,25,4},{3,25,4},{9,31,3454},{8,31,1502},{8,29,1186},{8,28,983},{8,31,4077},{7,31,1230},{7,28,33},{7,25,1214},{4,31,3820},{3,26,908},{10,31,1368},{9,31,261},{9,29,53},{9,28,126},{15,11,3048},{7,31,1226},{7,28,29},{3,26,899},{15,19,3048},
{3,26,899},{8,31,1018},{8,31,1018},{8,31,1018},{8,27,954},{7,31,724},{7,28,29},{7,28,29},{7,23,44},{2,31,665},{4,24,102},{9,30,2},{9,30,2},{9,30,2},{9,26,2},{11,18,648},{6,30,1},{6,30,1},{6,23,4},{10,21,648},{6,23,4},{12,27,882},{10,31,225},{10,28,13},{7,28,20},{12,27,882},{13,25,882},{7,28,20},{0,26,890},{13,25,882},{0,26,890},{8,0,954},
{8,0,954},{8,0,954},{8,0,954},{7,27,4},{7,27,4},{7,27,4},{7,22,5},{3,27,4},{3,27,4},{9,31,3614},{9,31,1886},{8,30,1287},{8,29,898},{8,31,4381},{7,31,1582},{7,30,77},{7,26,1159},{5,31,4036},{4,27,899},{10,31,1560},{10,31,405},{10,29,108},{9,29,117},{14,17,3048},{8,31,1444},{7,30,41},{4,27,890},{13,23,3048},{4,27,890},{8,31,1146},{8,31,1146},{8,31,1146},
{8,29,894},{8,30,1011},{7,30,41},{7,30,41},{7,24,46},{3,31,705},{5,24,98},{9,31,85},{9,31,85},{9,31,85},{9,27,53},{13,14,648},{7,30,5},{7,30,5},{6,24,10},{8,25,648},{6,24,10},{14,23,882},{10,31,305},{10,29,8},{8,29,8},{14,23,882},{11,29,882},{8,29,8},{0,27,890},{11,29,882},{0,27,890},{8,0,890},{8,0,890},{8,0,890},{8,0,890},{7,30,37},
{7,30,37},{7,30,37},{7,23,40},{4,27,9},{4,27,9},{10,31,4072},{9,31,2174},{9,31,1186},{9,30,983},{9,31,4545},{8,31,1725},{8,30,207},{7,27,1250},{6,31,4339},{4,28,908},{11,31,1656},{10,31,645},{10,31,56},{10,30,152},{13,23,3048},{8,31,1604},{7,31,77},{4,28,904},{11,27,3048},{4,28,904},{9,31,1150},{9,31,1150},{9,31,1150},{9,29,954},{8,31,841},{8,29,193},{8,29,193},
{7,25,197},{4,31,747},{5,26,102},{10,31,20},{10,31,20},{10,31,20},{10,28,8},{14,13,648},{7,31,41},{7,31,41},{7,25,1},{11,23,648},{7,25,1},{13,29,882},{11,31,397},{11,30,13},{8,30,5},{13,29,882},{14,27,882},{8,30,5},{0,28,900},{14,27,882},{0,28,900},{9,0,954},{9,0,954},{9,0,954},{9,0,954},{8,27,122},{8,27,122},{8,27,122},{8,23,122},{4,28,8},
{4,28,8},{10,31,4147},{10,31,2404},{9,31,1429},{9,31,901},{10,31,4627},{9,31,1938},{8,31,38},{8,28,1061},{7,31,4330},{5,29,789},{12,31,1701},{11,31,715},{11,31,90},{10,31,113},{15,19,2814},{10,31,1554},{8,31,34},{5,29,785},{13,26,2814},{5,29,785},{9,31,1429},{9,31,1429},{9,31,1429},{9,31,901},{9,31,1022},{8,31,38},{8,31,38},{8,26,44},{5,31,840},{6,27,110},{11,31,90},
{11,31,90},{11,31,90},{10,29,53},{14,16,648},{8,31,34},{8,31,34},{7,26,20},{15,20,648},{7,26,20},{15,25,761},{12,31,425},{11,31,9},{9,31,1},{15,25,761},{12,31,761},{9,31,1},{0,29,785},{12,31,761},{0,29,785},{9,0,900},{9,0,900},{9,0,900},{9,0,900},{8,30,4},{8,30,4},{8,30,4},{8,25,5},{5,29,4},{5,29,4},{11,31,3735},{10,31,2356},{10,31,1395},
{10,31,954},{10,31,4099},{9,31,1618},{9,31,174},{8,29,686},{7,31,3930},{6,29,510},{12,31,1285},{12,31,685},{11,31,122},{11,31,37},{13,27,2249},{10,31,1186},{9,31,74},{6,29,485},{13,27,2249},{6,29,485},{10,31,1395},{10,31,1395},{10,31,1395},{10,31,954},{9,31,1086},{9,31,174},{9,31,174},{8,27,49},{6,31,969},{6,28,102},{11,31,122},{11,31,122},{11,31,122},{11,30,2},{13,22,648},
{9,31,74},{9,31,74},{8,27,13},{12,25,648},{8,27,13},{15,26,481},{13,31,269},{12,31,0},{10,31,0},{15,26,481},{15,28,481},{10,31,0},{0,29,481},{15,28,481},{0,29,481},{10,0,954},{10,0,954},{10,0,954},{10,0,954},{8,31,61},{8,31,61},{8,31,61},{8,26,40},{5,31,4},{5,31,4},{11,31,3399},{11,31,2260},{11,31,1635},{10,31,954},{11,31,3639},{10,31,1435},{9,31,238},
{9,29,430},{8,31,3443},{6,30,314},{13,31,1121},{12,31,525},{12,31,164},{11,31,53},{13,29,1769},{11,31,918},{10,31,113},{7,30,290},{14,27,1769},{7,30,290},{11,31,1635},{11,31,1635},{11,31,1635},{10,31,954},{10,31,1251},{9,31,238},{9,31,238},{9,28,41},{7,31,1105},{7,28,98},{12,31,164},{12,31,164},{12,31,164},{11,31,53},{15,18,648},{10,31,113},{10,31,113},{8,28,1},{10,29,648},
{8,28,1},{15,27,269},{13,31,173},{13,31,4},{11,31,4},{15,27,269},{14,30,265},{11,31,4},{0,30,289},{14,30,265},{0,30,289},{10,0,890},{10,0,890},{10,0,890},{10,0,890},{9,31,13},{9,31,13},{9,31,13},{9,27,5},{6,31,9},{6,31,9},{12,31,3157},{11,31,2308},{11,31,1683},{11,31,1054},{11,31,3303},{10,31,1339},{10,31,378},{9,30,213},{9,31,3103},{7,30,166},{13,31,801},
{13,31,529},{12,31,260},{12,31,20},{15,24,1374},{12,31,777},{11,31,181},{8,30,117},{15,27,1377},{8,30,117},{11,31,1683},{11,31,1683},{11,31,1683},{11,31,1054},{10,31,1491},{10,31,378},{10,31,378},{9,29,46},{8,31,1331},{7,30,102},{12,31,260},{12,31,260},{12,31,260},{12,31,20},{13,27,648},{11,31,181},{11,31,181},{8,29,10},{13,27,648},{8,29,10},{15,28,117},{14,31,61},{14,31,25},
{13,31,4},{15,28,117},{14,31,117},{13,31,4},{0,30,113},{14,31,117},{0,30,113},{11,0,954},{11,0,954},{11,0,954},{11,0,954},{10,31,122},{10,31,122},{10,31,122},{9,28,40},{7,31,29},{7,31,29},{12,31,2860},{12,31,2260},{12,31,1899},{11,31,1261},{12,31,2932},{11,31,1310},{11,31,685},{10,30,108},{10,31,2731},{7,31,173},{13,31,747},{13,31,475},{13,31,306},{13,31,130},{15,26,1032},
{12,31,651},{12,31,290},{8,31,40},{14,29,1032},{8,31,40},{12,31,1899},{12,31,1899},{12,31,1899},{11,31,1261},{11,31,1620},{11,31,685},{11,31,685},{10,30,44},{9,31,1524},{8,30,134},{13,31,306},{13,31,306},{13,31,306},{13,31,130},{13,30,648},{12,31,290},{12,31,290},{9,30,5},{12,30,648},{9,30,5},{15,30,18},{15,30,34},{14,31,16},{14,31,0},{15,30,18},{15,30,26},{14,31,0},
{0,31,36},{15,30,26},{0,31,36},{11,0,900},{11,0,900},{11,0,900},{11,0,900},{10,31,104},{10,31,104},{10,31,104},{10,29,5},{8,30,130},{8,30,130},{13,31,2732},{12,31,2276},{12,31,1915},{12,31,1315},{12,31,2660},{11,31,1414},{11,31,789},{10,31,45},{11,31,2487},{8,31,116},{14,31,524},{14,31,460},{14,31,424},{13,31,170},{14,31,776},{13,31,507},{13,31,338},{10,31,9},{14,30,771},
{10,31,9},{12,31,1915},{12,31,1915},{12,31,1915},{12,31,1315},{12,31,1699},{11,31,789},{11,31,789},{10,31,45},{10,31,1546},{8,31,116},{14,31,424},{14,31,424},{14,31,424},{13,31,170},{15,26,580},{13,31,338},{13,31,338},{10,31,9},{14,29,580},{10,31,9},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{12,0,954},
{12,0,954},{12,0,954},{12,0,954},{11,31,164},{11,31,164},{11,31,164},{10,30,40},{8,31,116},{8,31,116},{13,31,2156},{13,31,1884},{13,31,1715},{12,31,1251},{13,31,2132},{12,31,1108},{12,31,747},{11,31,5},{11,31,1927},{9,31,180},{14,31,300},{14,31,236},{14,31,200},{14,31,136},{15,28,451},{14,31,328},{13,31,194},{11,31,1},{15,29,456},{11,31,1},{13,31,1715},{13,31,1715},{13,31,1715},
{12,31,1251},{12,31,1347},{12,31,747},{12,31,747},{11,31,5},{10,31,1242},{9,31,180},{14,31,200},{14,31,200},{14,31,200},{14,31,136},{15,27,338},{13,31,194},{13,31,194},{11,31,1},{13,31,338},{11,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{12,0,890},{12,0,890},{12,0,890},{12,0,890},{11,31,260},
{11,31,260},{11,31,260},{11,31,5},{9,31,180},{9,31,180},{13,31,1836},{13,31,1564},{13,31,1395},{13,31,1123},{13,31,1620},{12,31,1012},{12,31,651},{11,31,85},{12,31,1564},{10,31,233},{14,31,204},{14,31,140},{14,31,104},{14,31,40},{15,29,216},{14,31,136},{14,31,100},{12,31,1},{14,31,216},{12,31,1},{13,31,1395},{13,31,1395},{13,31,1395},{13,31,1123},{13,31,1179},{12,31,651},{12,31,651},
{11,31,85},{11,31,998},{10,31,233},{14,31,104},{14,31,104},{14,31,104},{14,31,40},{15,28,162},{14,31,100},{14,31,100},{12,31,1},{15,29,164},{12,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{13,0,954},{13,0,954},{13,0,954},{13,0,954},{12,31,290},{12,31,290},{12,31,290},{11,31,85},{10,31,233},
{10,31,233},{0,17,1568},{0,14,442},{0,10,40},{0,8,485},{0,11,3379},{0,9,2369},{0,8,1061},{0,5,2435},{0,6,3760},{0,5,2660},{0,17,1568},{0,14,442},{0,10,40},{0,8,485},{1,8,3372},{0,9,2369},{0,8,1061},{0,5,2435},{5,1,3371},{0,5,2435},{0,8,0},{0,8,0},{0,8,0},{0,5,1},{0,4,288},{0,4,160},{0,4,160},{0,2,164},{0,2,332},{0,2,200},{0,8,0},
{0,8,0},{0,8,0},{0,5,1},{0,4,288},{0,4,160},{0,4,160},{0,2,164},{2,0,288},{0,2,164},{3,7,1568},{0,14,442},{0,10,40},{0,8,485},{3,7,1568},{8,0,1568},{0,8,485},{0,6,1586},{8,0,1568},{0,6,1586},{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},{0,20,1570},{0,16,325},{0,11,5},
{0,9,392},{0,13,3968},{0,10,2630},{0,9,1121},{0,6,2710},{0,7,4484},{0,6,3034},{0,20,1570},{0,16,325},{0,11,5},{0,9,392},{1,10,3968},{0,10,2630},{0,9,1121},{0,6,2710},{5,2,3968},{0,6,2710},{0,11,1},{0,11,1},{0,11,1},{0,6,4},{0,5,514},{0,5,274},{0,5,274},{0,3,289},{0,3,595},{0,3,370},{0,11,1},{0,11,1},{0,11,1},{0,6,4},{1,2,512},
{0,5,274},{0,5,274},{0,3,289},{1,2,512},{0,3,289},{5,3,1568},{0,16,325},{0,11,5},{0,9,392},{5,3,1568},{4,7,1568},{0,9,392},{0,7,1586},{4,7,1568},{0,7,1586},{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},{0,22,1570},{0,17,225},{0,12,18},{0,11,292},{0,15,4652},{0,11,2945},{0,10,1217},
{0,7,3035},{0,8,5283},{0,7,3476},{0,22,1570},{0,17,225},{0,12,18},{0,11,292},{2,8,4651},{0,11,2945},{0,10,1217},{0,7,3035},{5,3,4651},{0,7,3035},{0,13,0},{0,13,0},{0,13,0},{0,8,1},{0,7,802},{0,6,424},{0,6,424},{0,4,449},{0,3,931},{0,3,562},{0,13,0},{0,13,0},{0,13,0},{0,8,1},{2,0,800},{0,6,424},{0,6,424},{0,4,449},{0,4,800},
{0,4,449},{1,19,1568},{0,17,225},{0,12,18},{0,11,292},{1,19,1568},{9,2,1568},{0,11,292},{0,8,1576},{9,2,1568},{0,8,1576},{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},{0,25,1570},{0,19,149},{0,13,73},{0,12,194},{0,17,5424},{0,13,3368},{0,11,1349},{0,8,3449},{0,9,6213},{0,7,3956},{0,25,1570},
{0,19,149},{0,13,73},{0,12,194},{5,0,5419},{0,13,3368},{0,11,1349},{0,8,3449},{5,4,5419},{0,8,3449},{0,16,1},{0,16,1},{0,16,1},{0,9,4},{0,8,1152},{0,7,610},{0,7,610},{0,4,625},{0,4,1328},{0,4,769},{0,16,1},{0,16,1},{0,16,1},{0,9,4},{0,8,1152},{0,7,610},{0,7,610},{0,4,625},{4,0,1152},{0,4,625},{5,8,1568},{0,19,149},{1,13,13},
{0,12,194},{5,8,1568},{4,10,1568},{0,12,194},{0,9,1576},{4,10,1568},{0,9,1576},{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},{0,28,1651},{0,21,155},{0,14,281},{0,13,198},{0,20,5424},{0,15,3099},{0,12,996},{0,9,3179},{0,10,6544},{0,8,3890},{1,24,1619},{0,21,155},{1,14,69},{0,13,198},{5,3,5419},
{0,15,3099},{0,12,996},{0,9,3179},{4,7,5419},{0,9,3179},{0,19,82},{0,19,82},{0,19,82},{0,11,82},{0,11,1152},{0,9,445},{0,9,445},{0,6,505},{0,6,1494},{0,5,737},{1,15,50},{1,15,50},{1,15,50},{1,10,49},{3,1,1152},{0,9,445},{0,9,445},{0,6,505},{3,3,1152},{0,6,505},{5,11,1568},{0,21,74},{1,14,20},{0,13,117},{5,11,1568},{11,3,1568},{0,13,117},
{0,10,1586},{11,3,1568},{0,10,1586},{0,0,81},{0,0,81},{0,0,81},{0,0,81},{0,3,0},{0,3,0},{0,3,0},{0,2,1},{0,1,25},{0,1,25},{1,27,1825},{0,23,323},{1,15,342},{0,14,361},{0,22,5420},{0,16,2834},{0,13,726},{0,10,2966},{0,11,6916},{0,9,3860},{1,27,1569},{1,21,131},{1,15,86},{1,14,181},{1,19,5419},{0,16,2834},{0,13,726},{0,10,2966},{9,2,5419},
{0,10,2966},{1,18,257},{1,18,257},{1,18,257},{1,12,261},{0,13,1154},{0,11,337},{0,11,337},{0,7,388},{0,7,1665},{0,6,749},{1,18,1},{1,18,1},{1,18,1},{1,12,5},{4,0,1152},{0,11,337},{0,11,337},{0,7,388},{1,7,1152},{0,7,388},{8,2,1568},{0,23,34},{2,15,5},{0,14,72},{8,2,1568},{13,2,1568},{0,14,72},{0,11,1586},{13,2,1568},{0,11,1586},{1,0,257},
{1,0,257},{1,0,257},{1,0,257},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,2,85},{0,2,85},{1,30,1907},{1,23,411},{1,16,542},{1,15,454},{0,25,5424},{0,18,2630},{0,15,486},{0,11,2771},{0,13,7299},{0,11,3860},{2,26,1634},{1,23,155},{2,16,82},{1,15,198},{5,8,5419},{0,18,2630},{0,15,486},{0,11,2771},{4,10,5419},{0,11,2771},{1,21,338},{1,21,338},{1,21,338},
{1,13,338},{0,16,1152},{0,13,274},{0,13,274},{0,8,305},{0,8,1856},{0,7,797},{2,17,64},{2,17,64},{2,17,64},{2,12,65},{3,6,1152},{0,13,274},{0,13,274},{0,8,305},{3,6,1152},{0,8,305},{3,23,1568},{0,25,17},{2,16,18},{0,15,45},{3,23,1568},{11,6,1568},{0,15,45},{0,12,1576},{11,6,1568},{0,12,1576},{1,0,337},{1,0,337},{1,0,337},{1,0,337},{0,8,1},
{0,8,1},{0,8,1},{0,5,0},{0,4,169},{0,4,169},{1,31,2145},{1,25,590},{1,17,915},{1,16,619},{0,27,5420},{0,20,2424},{0,16,282},{0,12,2552},{0,15,7711},{0,11,3908},{2,29,1570},{2,23,149},{2,17,73},{2,16,194},{7,4,5419},{0,20,2424},{0,16,282},{0,12,2552},{9,5,5419},{0,12,2552},{1,23,546},{1,23,546},{1,23,546},{1,15,546},{0,19,1154},{0,15,194},{0,15,194},
{0,9,218},{0,9,2123},{0,8,865},{2,20,1},{2,20,1},{2,20,1},{2,13,4},{5,2,1152},{0,15,194},{0,15,194},{0,9,218},{8,1,1152},{0,9,218},{9,4,1568},{0,27,5},{3,17,13},{0,16,26},{9,4,1568},{9,10,1568},{0,16,26},{0,13,1576},{9,10,1568},{0,13,1576},{1,0,545},{1,0,545},{1,0,545},{1,0,545},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,289},
{0,5,289},{2,31,2746},{1,27,945},{2,18,1370},{1,17,977},{0,30,5420},{0,22,2243},{0,17,145},{0,13,2386},{0,16,8161},{0,13,3986},{3,28,1619},{2,25,155},{3,18,69},{2,17,198},{8,2,5419},{0,22,2243},{0,17,145},{0,13,2386},{13,2,5419},{0,13,2386},{1,26,932},{1,26,932},{1,26,932},{1,16,936},{0,22,1154},{0,17,109},{0,17,109},{0,10,145},{0,11,2441},{0,9,1001},{3,19,50},
{3,19,50},{3,19,50},{3,14,49},{5,5,1152},{0,17,109},{0,17,109},{0,10,145},{5,7,1152},{0,10,145},{11,0,1568},{0,29,10},{3,18,20},{0,18,8},{11,0,1568},{13,7,1568},{0,18,8},{0,14,1586},{13,7,1568},{0,14,1586},{1,0,932},{1,0,932},{1,0,932},{1,0,932},{0,14,1},{0,14,1},{0,14,1},{0,8,1},{0,6,468},{0,6,468},{2,31,3146},{2,27,1412},{2,19,1743},
{1,19,1441},{0,31,5515},{0,23,2096},{0,19,69},{0,14,2251},{0,18,8669},{0,14,4100},{3,31,1569},{3,25,131},{3,19,86},{3,18,181},{3,23,5419},{0,23,2096},{0,19,69},{0,14,2251},{11,6,5419},{0,14,2251},{2,25,1379},{2,25,1379},{2,25,1379},{2,17,1379},{0,24,1152},{0,18,61},{0,18,61},{0,11,100},{0,12,2859},{0,10,1157},{3,22,1},{3,22,1},{3,22,1},{3,16,5},{7,1,1152},
{0,18,61},{0,18,61},{0,11,100},{10,2,1152},{0,11,100},{10,6,1568},{1,29,2},{4,19,5},{0,19,5},{10,6,1568},{15,6,1568},{0,19,5},{0,15,1586},{15,6,1568},{0,15,1586},{2,0,1378},{2,0,1378},{2,0,1378},{2,0,1378},{0,16,1},{0,16,1},{0,16,1},{0,10,1},{0,8,657},{0,8,657},{2,31,3802},{2,29,1603},{2,21,2148},{2,19,1631},{1,31,5655},{0,25,2005},{0,20,31},
{0,15,2138},{0,19,8963},{0,15,4070},{4,30,1634},{3,27,155},{4,20,82},{3,19,198},{9,4,5419},{0,25,2001},{0,20,27},{0,15,2134},{9,10,5419},{0,15,2134},{2,28,1587},{2,28,1587},{2,28,1587},{2,18,1590},{0,27,1158},{0,20,22},{0,20,22},{0,12,62},{0,14,3075},{0,11,1221},{4,21,64},{4,21,64},{4,21,64},{4,16,65},{5,10,1152},{0,20,18},{0,20,18},{0,12,58},{12,1,1152},
{0,12,58},{12,2,1568},{1,31,10},{4,20,18},{0,20,18},{12,2,1568},{13,10,1568},{0,20,18},{0,16,1576},{13,10,1568},{0,16,1576},{2,0,1586},{2,0,1586},{2,0,1586},{2,0,1586},{0,19,4},{0,19,4},{0,19,4},{0,11,8},{0,9,769},{0,9,769},{3,31,3890},{2,31,1623},{3,21,2180},{2,20,1644},{1,31,5863},{0,27,1989},{1,21,109},{0,17,2117},{0,21,8560},{0,16,3545},{4,31,1640},
{4,27,149},{4,21,73},{4,20,194},{10,3,5419},{0,27,1889},{0,21,49},{0,17,2017},{11,9,5419},{0,17,2017},{2,30,1619},{2,30,1619},{2,30,1619},{2,20,1619},{1,26,1188},{1,20,86},{1,20,86},{1,13,121},{0,16,2801},{0,13,949},{4,24,1},{4,24,1},{4,24,1},{4,17,4},{8,1,1152},{0,22,2},{0,22,2},{0,14,26},{10,5,1152},{0,14,26},{11,8,1568},{2,31,5},{5,21,13},
{1,21,9},{11,8,1568},{11,14,1568},{1,21,9},{0,17,1576},{11,14,1568},{0,17,1576},{2,0,1618},{2,0,1618},{2,0,1618},{2,0,1618},{1,18,37},{1,18,37},{1,18,37},{1,12,37},{0,10,625},{0,10,625},{4,31,4308},{3,31,1589},{3,23,2160},{3,21,1621},{2,31,5895},{1,27,1999},{1,22,33},{1,18,2124},{0,23,8196},{0,17,3043},{5,31,1667},{4,29,155},{5,22,69},{4,21,198},{10,6,5419},
{0,29,1772},{1,22,24},{0,18,1875},{15,6,5419},{0,18,1875},{3,30,1576},{3,30,1576},{3,30,1576},{3,20,1580},{1,29,1161},{1,22,29},{1,22,29},{1,15,58},{0,17,2529},{0,14,656},{5,23,50},{5,23,50},{5,23,50},{5,18,49},{8,4,1152},{0,24,1},{0,24,1},{0,15,1},{14,2,1152},{0,15,1},{13,4,1568},{3,31,13},{5,22,20},{2,22,8},{13,4,1568},{15,11,1568},{2,22,8},
{0,18,1586},{15,11,1568},{0,18,1586},{3,0,1576},{3,0,1576},{3,0,1576},{3,0,1576},{1,21,10},{1,21,10},{1,21,10},{1,14,13},{0,12,520},{0,12,520},{4,31,4436},{3,31,1765},{4,23,2175},{3,23,1669},{3,31,6079},{1,29,1977},{2,23,105},{1,19,2107},{0,24,7969},{0,18,2675},{6,31,1832},{5,29,131},{5,23,86},{5,22,181},{12,2,5419},{0,30,1699},{1,23,62},{0,19,1782},{13,10,5419},
{0,19,1782},{3,31,1665},{3,31,1665},{3,31,1665},{3,22,1640},{2,28,1188},{2,22,97},{2,22,97},{2,15,136},{0,19,2313},{0,15,474},{5,26,1},{5,26,1},{5,26,1},{5,20,5},{3,25,1152},{1,24,5},{1,24,5},{0,16,2},{12,6,1152},{0,16,2},{15,0,1568},{4,31,34},{6,23,5},{2,23,5},{15,0,1568},{12,16,1568},{2,23,5},{0,19,1586},{12,16,1568},{0,19,1586},{3,0,1640},
{3,0,1640},{3,0,1640},{3,0,1640},{2,20,37},{2,20,37},{2,20,37},{2,14,37},{0,14,400},{0,14,400},{5,31,4740},{4,31,1716},{4,25,2148},{4,23,1631},{3,31,6351},{2,29,2005},{2,24,31},{2,19,2138},{0,26,7669},{0,19,2375},{6,31,1832},{5,31,155},{6,24,82},{5,23,198},{11,8,5419},{0,31,1712},{2,24,27},{0,20,1720},{11,14,5419},{0,20,1720},{4,31,1595},{4,31,1595},{4,31,1595},
{4,22,1590},{2,31,1158},{2,24,22},{2,24,22},{2,16,62},{0,21,2091},{0,17,306},{6,25,64},{6,25,64},{6,25,64},{6,20,65},{9,6,1152},{1,26,1},{1,26,1},{1,17,5},{14,5,1152},{1,17,5},{14,6,1568},{5,31,74},{6,24,18},{2,24,18},{14,6,1568},{15,14,1568},{2,24,18},{0,20,1576},{15,14,1568},{0,20,1576},{4,0,1586},{4,0,1586},{4,0,1586},{4,0,1586},{2,23,4},
{2,23,4},{2,23,4},{2,15,8},{0,16,277},{0,16,277},{5,31,5060},{5,31,1980},{5,25,2180},{4,24,1644},{4,31,6508},{2,31,1989},{3,25,109},{2,21,2117},{0,28,7364},{0,21,2098},{7,31,1952},{6,31,149},{6,25,73},{6,24,194},{12,7,5419},{1,31,1804},{2,25,49},{0,21,1657},{13,13,5419},{0,21,1657},{4,31,1739},{4,31,1739},{4,31,1739},{4,24,1619},{3,30,1188},{3,24,86},{3,24,86},
{3,17,121},{0,22,1928},{0,18,194},{6,28,1},{6,28,1},{6,28,1},{6,21,4},{10,5,1152},{2,26,2},{2,26,2},{1,18,2},{12,9,1152},{1,18,2},{13,12,1568},{6,31,149},{7,25,13},{3,25,9},{13,12,1568},{13,18,1568},{3,25,9},{0,21,1576},{13,18,1568},{0,21,1576},{4,0,1618},{4,0,1618},{4,0,1618},{4,0,1618},{3,22,37},{3,22,37},{3,22,37},{3,16,37},{0,18,193},
{0,18,193},{6,31,5316},{5,31,2160},{5,27,2160},{5,25,1621},{5,31,6800},{3,31,1999},{3,26,33},{3,22,2124},{0,29,7068},{0,22,1836},{7,31,2195},{7,31,270},{7,26,69},{6,25,198},{15,0,5419},{2,31,1970},{3,26,24},{0,22,1611},{12,16,5419},{0,22,1611},{5,31,1676},{5,31,1676},{5,31,1676},{5,24,1580},{3,31,1233},{3,26,29},{3,26,29},{3,19,58},{0,24,1798},{0,19,157},{7,27,50},
{7,27,50},{7,27,50},{7,22,49},{10,8,1152},{2,28,1},{2,28,1},{2,19,1},{11,12,1152},{2,19,1},{15,8,1568},{7,31,221},{7,26,20},{4,26,8},{15,8,1568},{11,22,1568},{4,26,8},{0,22,1586},{11,22,1568},{0,22,1586},{5,0,1576},{5,0,1576},{5,0,1576},{5,0,1576},{3,25,10},{3,25,10},{3,25,10},{3,18,13},{0,20,106},{0,20,106},{6,31,5828},{6,31,2435},{6,27,2175},
{5,27,1669},{5,31,7184},{4,31,2132},{4,27,105},{3,23,2107},{0,31,6820},{0,23,1690},{8,31,2306},{7,31,334},{7,27,86},{7,26,181},{14,6,5419},{4,31,2096},{3,27,62},{0,23,1590},{15,14,5419},{0,23,1590},{6,31,1859},{6,31,1859},{6,31,1859},{5,26,1640},{4,31,1220},{4,26,97},{4,26,97},{4,19,136},{0,26,1650},{0,21,161},{7,30,1},{7,30,1},{7,30,1},{7,24,5},{9,14,1152},
{3,28,5},{3,28,5},{2,20,2},{14,10,1152},{2,20,2},{14,14,1568},{7,31,333},{8,27,40},{4,27,5},{14,14,1568},{14,20,1568},{4,27,5},{0,23,1586},{14,20,1568},{0,23,1586},{5,0,1640},{5,0,1640},{5,0,1640},{5,0,1640},{4,24,37},{4,24,37},{4,24,37},{4,18,37},{0,22,58},{0,22,58},{7,31,6036},{6,31,2835},{6,29,2148},{6,27,1631},{6,31,7316},{4,31,2228},{4,28,31},
{4,23,2138},{0,31,6884},{0,24,1613},{8,31,2402},{8,31,666},{8,28,269},{7,27,198},{13,12,5419},{4,31,2224},{4,28,27},{0,24,1577},{13,18,5419},{0,24,1577},{6,31,1811},{6,31,1811},{6,31,1811},{6,26,1590},{5,31,1356},{4,28,22},{4,28,22},{4,20,62},{0,28,1508},{1,21,137},{7,31,106},{7,31,106},{7,31,106},{7,25,82},{11,10,1152},{3,30,1},{3,30,1},{3,21,5},{5,23,1152},
{3,21,5},{13,20,1568},{8,31,410},{8,28,13},{4,28,18},{13,20,1568},{13,23,1570},{4,28,18},{0,24,1576},{13,23,1570},{0,24,1576},{6,0,1586},{6,0,1586},{6,0,1586},{6,0,1586},{4,27,4},{4,27,4},{4,27,4},{4,19,8},{0,24,37},{0,24,37},{7,31,6740},{7,31,3135},{7,29,2180},{6,28,1644},{7,31,7676},{5,31,2448},{5,29,109},{4,25,2117},{1,31,7196},{0,25,1593},{9,31,2594},
{8,31,698},{8,29,82},{8,28,345},{14,11,5419},{5,31,2412},{4,29,49},{1,25,1580},{15,17,5419},{1,25,1580},{7,31,1979},{7,31,1979},{7,31,1979},{6,28,1619},{5,31,1388},{5,28,86},{5,28,86},{5,21,121},{0,30,1416},{1,23,161},{8,30,64},{8,30,64},{8,30,64},{8,25,65},{12,9,1152},{4,30,2},{4,30,2},{3,22,2},{14,13,1152},{3,22,2},{15,16,1568},{9,31,530},{8,29,18},
{5,29,9},{15,16,1568},{15,22,1568},{5,29,9},{0,25,1576},{15,22,1568},{0,25,1576},{6,0,1618},{6,0,1618},{6,0,1618},{6,0,1618},{5,26,37},{5,26,37},{5,26,37},{5,20,37},{0,25,17},{0,25,17},{8,31,6906},{7,31,3909},{7,31,2160},{7,29,1621},{7,31,8144},{6,31,2902},{5,30,33},{5,26,2124},{2,31,7661},{1,26,1615},{9,31,2945},{9,31,1025},{8,30,86},{8,29,181},{14,14,5419},
{7,31,2694},{5,30,24},{1,26,1590},{14,20,5419},{1,26,1590},{7,31,2060},{7,31,2060},{7,31,2060},{7,28,1580},{6,31,1476},{5,30,29},{5,30,29},{5,23,58},{0,31,1324},{2,23,157},{8,31,37},{8,31,37},{8,31,37},{8,27,5},{15,2,1152},{5,30,20},{5,30,20},{4,23,1},{13,16,1152},{4,23,1},{15,19,1568},{10,31,637},{9,30,5},{6,30,8},{15,19,1568},{13,26,1568},{6,30,8},
{0,26,1586},{13,26,1568},{0,26,1586},{7,0,1576},{7,0,1576},{7,0,1576},{7,0,1576},{5,29,10},{5,29,10},{5,29,10},{5,22,13},{0,28,10},{0,28,10},{8,31,7386},{8,31,4250},{8,31,2490},{7,31,1669},{8,31,8461},{6,31,3350},{6,31,105},{5,27,2107},{4,31,8004},{1,27,1611},{10,31,3112},{9,31,1361},{9,31,69},{8,30,198},{13,20,5419},{7,31,2950},{5,31,62},{2,27,1590},{11,25,5420},
{2,27,1590},{8,31,2486},{8,31,2486},{8,31,2486},{7,30,1640},{6,31,1700},{6,30,97},{6,30,97},{6,23,136},{1,31,1424},{2,25,161},{9,31,65},{9,31,65},{9,31,65},{9,27,49},{11,18,1152},{5,31,58},{5,31,58},{4,24,2},{10,21,1152},{4,24,2},{13,28,1568},{11,31,785},{9,31,20},{6,31,5},{13,28,1568},{11,30,1568},{6,31,5},{0,27,1586},{11,30,1568},{0,27,1586},{7,0,1640},
{7,0,1640},{7,0,1640},{7,0,1640},{6,28,37},{6,28,37},{6,28,37},{6,22,37},{1,28,10},{1,28,10},{9,31,7014},{8,31,4230},{8,31,2294},{8,31,1846},{8,31,7865},{7,31,3114},{6,31,85},{6,27,1706},{4,31,7436},{2,28,1289},{11,31,2852},{10,31,1221},{9,31,145},{9,30,114},{13,22,4803},{8,31,2648},{6,31,81},{2,28,1253},{12,25,4803},{2,28,1253},{8,31,2294},{8,31,2294},{8,31,2294},
{8,30,1811},{7,31,1740},{6,31,85},{6,31,85},{6,24,62},{2,31,1577},{3,25,137},{9,31,145},{9,31,145},{9,31,145},{9,29,5},{13,14,1152},{6,31,81},{6,31,81},{5,25,5},{8,25,1152},{5,25,5},{15,23,1250},{11,31,689},{10,31,4},{7,31,9},{15,23,1250},{11,31,1250},{7,31,9},{0,28,1252},{11,31,1250},{0,28,1252},{8,0,1810},{8,0,1810},{8,0,1810},{8,0,1810},{6,31,4},
{6,31,4},{6,31,4},{6,23,8},{1,29,8},{1,29,8},{9,31,6534},{9,31,4134},{8,31,2486},{8,31,1590},{9,31,7237},{7,31,2970},{7,31,161},{6,28,1256},{5,31,6748},{2,29,949},{11,31,2340},{10,31,1125},{10,31,164},{9,31,97},{15,17,4056},{9,31,2244},{7,31,125},{3,28,909},{12,26,4056},{3,28,909},{8,31,2486},{8,31,2486},{8,31,2486},{8,31,1590},{7,31,2156},{7,31,161},{7,31,161},
{7,25,121},{3,31,1729},{3,27,161},{10,31,164},{10,31,164},{10,31,164},{10,29,65},{14,13,1152},{7,31,125},{7,31,125},{5,26,2},{11,23,1152},{5,26,2},{13,31,882},{12,31,482},{11,31,0},{8,31,4},{13,31,882},{15,27,882},{8,31,4},{0,28,900},{15,27,882},{0,28,900},{8,0,1586},{8,0,1586},{8,0,1586},{8,0,1586},{7,30,37},{7,30,37},{7,30,37},{7,24,37},{1,31,16},
{1,31,16},{10,31,6091},{9,31,4053},{9,31,2609},{8,31,1761},{9,31,6490},{8,31,2622},{7,31,458},{7,28,835},{6,31,6162},{3,29,598},{12,31,1989},{11,31,931},{11,31,306},{10,31,5},{15,19,3318},{10,31,1806},{8,31,202},{4,29,545},{13,26,3318},{4,29,545},{9,31,2609},{9,31,2609},{9,31,2609},{8,31,1761},{8,31,2086},{7,31,458},{7,31,458},{7,27,58},{4,31,1868},{4,27,157},{11,31,306},
{11,31,306},{11,31,306},{10,31,5},{14,16,1152},{8,31,202},{8,31,202},{6,27,1},{15,20,1152},{6,27,1},{15,26,545},{13,31,313},{12,31,4},{10,31,4},{15,26,545},{14,29,545},{10,31,4},{0,29,545},{14,29,545},{0,29,545},{8,0,1640},{8,0,1640},{8,0,1640},{8,0,1640},{7,31,58},{7,31,58},{7,31,58},{7,26,13},{2,31,13},{2,31,13},{10,31,5723},{10,31,3980},{9,31,2945},
{9,31,1745},{10,31,6083},{8,31,2494},{8,31,558},{7,29,558},{7,31,5674},{4,30,411},{12,31,1573},{11,31,963},{11,31,338},{11,31,49},{13,27,2753},{10,31,1438},{9,31,290},{5,29,341},{13,27,2753},{5,29,341},{9,31,2945},{9,31,2945},{9,31,2945},{9,31,1745},{9,31,2390},{8,31,558},{8,31,558},{7,28,147},{5,31,2064},{4,29,161},{11,31,338},{11,31,338},{11,31,338},{11,31,49},{13,22,1152},
{9,31,290},{9,31,290},{6,28,2},{12,25,1152},{6,28,2},{15,27,313},{13,31,185},{13,31,16},{11,31,0},{15,27,313},{13,31,313},{11,31,0},{0,29,337},{13,31,313},{0,29,337},{9,0,1576},{9,0,1576},{9,0,1576},{9,0,1576},{8,31,197},{8,31,197},{8,31,197},{7,27,122},{3,31,25},{3,31,25},{11,31,5415},{10,31,3996},{10,31,3035},{10,31,2006},{10,31,5619},{9,31,2378},{8,31,814},
{8,29,414},{7,31,5338},{5,30,251},{12,31,1413},{12,31,813},{12,31,452},{11,31,65},{13,29,2273},{11,31,1218},{10,31,365},{6,30,146},{14,27,2273},{6,30,146},{10,31,3035},{10,31,3035},{10,31,3035},{10,31,2006},{9,31,2518},{8,31,814},{8,31,814},{8,28,121},{6,31,2329},{5,29,137},{12,31,452},{12,31,452},{12,31,452},{11,31,65},{15,18,1152},{10,31,365},{10,31,365},{7,29,5},{10,29,1152},
{7,29,5},{15,28,145},{14,31,85},{13,31,16},{12,31,4},{15,28,145},{15,29,149},{12,31,4},{0,30,145},{15,29,149},{0,30,145},{9,0,1640},{9,0,1640},{9,0,1640},{9,0,1640},{8,31,85},{8,31,85},{8,31,85},{8,27,37},{4,31,40},{4,31,40},{11,31,5143},{11,31,4004},{11,31,3379},{10,31,2070},{11,31,5287},{10,31,2431},{9,31,1062},{8,30,133},{8,31,5011},{5,31,161},{13,31,1161},
{13,31,889},{12,31,548},{12,31,164},{15,24,1878},{11,31,1106},{11,31,481},{7,30,66},{15,27,1881},{7,30,66},{11,31,3379},{11,31,3379},{11,31,3379},{10,31,2070},{10,31,2835},{9,31,1062},{9,31,1062},{8,29,62},{7,31,2577},{5,31,161},{12,31,548},{12,31,548},{12,31,548},{12,31,164},{13,27,1152},{11,31,481},{11,31,481},{7,30,2},{13,27,1152},{7,30,2},{15,29,45},{14,31,37},{14,31,1},
{14,31,9},{15,29,45},{15,30,41},{14,31,9},{0,30,65},{15,30,41},{0,30,65},{10,0,1586},{10,0,1586},{10,0,1586},{10,0,1586},{9,31,221},{9,31,221},{9,31,221},{8,28,8},{5,31,80},{5,31,80},{12,31,4948},{11,31,4157},{11,31,3532},{11,31,2393},{11,31,5008},{10,31,2422},{10,31,1461},{9,31,125},{9,31,4752},{6,31,157},{13,31,1107},{13,31,835},{13,31,666},{12,31,362},{15,26,1536},
{12,31,1011},{12,31,650},{8,31,16},{14,29,1536},{8,31,16},{11,31,3532},{11,31,3532},{11,31,3532},{11,31,2393},{10,31,3204},{10,31,1461},{10,31,1461},{9,30,114},{8,31,2976},{6,31,157},{13,31,666},{13,31,666},{13,31,666},{12,31,362},{13,30,1152},{12,31,650},{12,31,650},{8,31,16},{12,30,1152},{8,31,16},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},
{0,31,0},{15,31,0},{0,31,0},{10,0,1640},{10,0,1640},{10,0,1640},{10,0,1640},{9,31,221},{9,31,221},{9,31,221},{9,29,25},{6,31,157},{6,31,157},{12,31,4212},{12,31,3612},{12,31,3251},{11,31,2201},{12,31,4212},{11,31,2154},{10,31,1301},{9,31,13},{10,31,3939},{7,31,233},{14,31,776},{13,31,659},{13,31,490},{13,31,218},{15,27,1067},{13,31,699},{12,31,442},{9,31,4},{13,31,1067},
{9,31,4},{12,31,3251},{12,31,3251},{12,31,3251},{11,31,2201},{11,31,2668},{10,31,1301},{10,31,1301},{9,31,13},{8,31,2528},{7,31,233},{13,31,490},{13,31,490},{13,31,490},{13,31,218},{15,25,802},{12,31,442},{12,31,442},{9,31,4},{15,27,802},{9,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{11,0,1576},
{11,0,1576},{11,0,1576},{11,0,1576},{10,31,340},{10,31,340},{10,31,340},{9,31,13},{7,31,233},{7,31,233},{12,31,3732},{12,31,3132},{12,31,2771},{12,31,2171},{12,31,3444},{11,31,1834},{11,31,1209},{10,31,37},{10,31,3219},{8,31,400},{14,31,456},{14,31,392},{14,31,356},{13,31,170},{14,31,684},{13,31,459},{13,31,290},{10,31,1},{14,30,683},{10,31,1},{12,31,2771},{12,31,2771},{12,31,2771},
{12,31,2171},{11,31,2348},{11,31,1209},{11,31,1209},{10,31,37},{9,31,2156},{8,31,400},{14,31,356},{14,31,356},{14,31,356},{13,31,170},{15,26,512},{13,31,290},{13,31,290},{10,31,1},{14,29,512},{10,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{11,0,1640},{11,0,1640},{11,0,1640},{11,0,1640},{10,31,436},
{10,31,436},{10,31,436},{10,31,37},{8,31,400},{8,31,400},{13,31,3172},{13,31,2900},{12,31,2547},{12,31,1947},{12,31,2932},{12,31,1732},{11,31,1145},{10,31,53},{11,31,2695},{8,31,464},{14,31,264},{14,31,200},{14,31,164},{14,31,100},{15,28,387},{14,31,268},{13,31,178},{11,31,1},{15,29,396},{11,31,1},{12,31,2547},{12,31,2547},{12,31,2547},{12,31,1947},{12,31,1971},{11,31,1145},{11,31,1145},
{10,31,53},{10,31,1794},{8,31,464},{14,31,164},{14,31,164},{14,31,164},{14,31,100},{15,27,290},{13,31,178},{13,31,178},{11,31,1},{14,30,290},{11,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{12,0,1586},{12,0,1586},{12,0,1586},{12,0,1586},{11,31,520},{11,31,520},{11,31,520},{10,31,53},{8,31,464},
{8,31,464},{0,23,2665},{0,18,680},{0,13,50},{0,11,785},{0,15,5885},{0,11,4118},{0,10,1800},{0,7,4202},{0,8,6546},{0,7,4643},{0,23,2665},{0,18,680},{0,13,50},{0,11,785},{3,5,5885},{0,11,4118},{0,10,1800},{0,7,4202},{0,9,5885},{0,7,4202},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,549},{0,5,289},{0,5,289},{0,3,306},{0,3,630},{0,3,387},{0,11,0},
{0,11,0},{0,11,0},{0,7,4},{1,2,545},{0,5,289},{0,5,289},{0,3,306},{2,1,545},{0,3,306},{6,3,2665},{0,18,680},{0,13,50},{0,11,785},{6,3,2665},{11,0,2665},{0,11,785},{0,8,2689},{11,0,2665},{0,8,2689},{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},{0,25,2665},{0,20,521},{0,14,5},
{0,12,625},{0,17,6669},{0,13,4529},{0,11,1890},{0,8,4610},{0,9,7494},{0,7,5171},{0,25,2665},{0,20,521},{0,14,5},{0,12,625},{3,7,6669},{0,13,4529},{0,11,1890},{0,8,4610},{8,0,6669},{0,8,4610},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,7,841},{0,6,445},{0,6,445},{0,4,464},{0,3,982},{0,3,595},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{2,0,841},
{0,6,445},{0,6,445},{0,4,464},{1,3,841},{0,4,464},{7,2,2665},{0,20,521},{0,14,5},{0,12,625},{7,2,2665},{12,0,2665},{0,12,625},{0,9,2689},{12,0,2665},{0,9,2689},{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},{0,28,2665},{0,22,405},{0,15,10},{0,13,514},{0,19,7541},{0,14,4934},{0,12,2042},
{0,9,5045},{0,10,8546},{0,8,5682},{0,28,2665},{0,22,405},{0,15,10},{0,13,514},{5,2,7538},{0,14,4934},{0,12,2042},{0,9,5045},{8,1,7538},{0,9,5045},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{0,8,1201},{0,7,637},{0,7,637},{0,4,656},{0,4,1385},{0,4,800},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{1,5,1201},{0,7,637},{0,7,637},{0,4,656},{4,0,1201},
{0,4,656},{6,8,2665},{0,22,405},{0,15,10},{0,13,514},{6,8,2665},{11,3,2665},{0,13,514},{0,10,2689},{11,3,2665},{0,10,2689},{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},{0,30,2669},{0,23,313},{0,16,68},{0,15,410},{0,20,8498},{0,16,5330},{0,13,2210},{0,10,5530},{0,11,9702},{0,9,6270},{0,30,2669},
{0,23,313},{0,16,68},{0,15,410},{4,7,8493},{0,16,5330},{0,13,2210},{0,10,5530},{8,2,8493},{0,10,5530},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{0,9,1629},{0,8,832},{0,8,832},{0,5,881},{0,5,1874},{0,5,1106},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{2,3,1625},{0,8,832},{0,8,832},{0,5,881},{4,1,1625},{0,5,881},{8,2,2665},{0,23,313},{1,16,8},
{0,15,410},{8,2,2665},{14,1,2665},{0,15,410},{0,11,2689},{14,1,2665},{0,11,2689},{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},{0,31,2777},{0,26,232},{0,17,197},{0,16,305},{0,22,9674},{0,17,5849},{0,14,2450},{0,10,6106},{0,12,11199},{0,10,7006},{0,31,2777},{0,26,232},{0,17,197},{0,16,305},{1,19,9669},
{0,17,5849},{0,14,2450},{0,10,6106},{9,2,9669},{0,10,6106},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{0,11,2178},{0,10,1125},{0,10,1125},{0,6,1189},{0,6,2520},{0,5,1475},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{3,1,2178},{0,10,1125},{0,10,1125},{0,6,1189},{3,3,2178},{0,6,1189},{9,2,2665},{0,26,232},{1,17,17},{0,16,305},{9,2,2665},{13,4,2665},{0,16,305},
{0,12,2689},{13,4,2665},{0,12,2689},{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},{1,31,3045},{0,28,217},{0,19,401},{0,17,282},{0,25,9670},{0,19,5529},{0,16,1970},{0,12,5738},{0,13,11589},{0,11,6898},{1,31,2789},{0,28,217},{1,18,146},{0,17,282},{5,8,9669},{0,19,5529},{0,16,1970},{0,12,5738},{4,10,9669},
{0,12,5738},{0,24,64},{0,24,64},{0,24,64},{0,15,68},{0,13,2180},{0,11,949},{0,11,949},{0,7,1018},{0,7,2691},{0,6,1433},{1,21,64},{1,21,64},{1,21,64},{1,13,68},{4,0,2178},{0,11,949},{0,11,949},{0,7,1018},{1,7,2178},{0,7,1018},{10,1,2665},{0,28,153},{2,18,5},{0,17,218},{10,1,2665},{15,3,2665},{0,17,218},{0,13,2689},{15,3,2665},{0,13,2689},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,3,1},{0,3,1},{0,3,1},{0,2,4},{0,1,18},{0,1,18},{1,31,3285},{0,29,341},{1,19,453},{0,18,405},{0,27,9674},{0,20,5170},{0,17,1546},{0,13,5429},{0,15,11993},{0,12,6819},{2,31,2966},{1,28,221},{1,19,197},{1,18,305},{7,4,9669},{0,20,5170},{0,17,1546},{0,13,5429},{9,5,9669},{0,13,5429},{0,27,257},{0,27,257},{0,27,257},
{1,15,256},{0,16,2178},{0,13,832},{0,13,832},{0,8,881},{0,8,2882},{0,7,1427},{1,23,4},{1,23,4},{1,23,4},{1,15,0},{3,6,2178},{0,13,832},{0,13,832},{0,8,881},{3,6,2178},{0,8,881},{11,0,2665},{0,29,85},{2,19,10},{0,18,149},{11,0,2665},{13,7,2665},{0,18,149},{0,14,2689},{13,7,2665},{0,14,2689},{0,0,256},{0,0,256},{0,0,256},{0,0,256},{0,5,1},
{0,5,1},{0,5,1},{0,3,1},{0,2,72},{0,2,72},{1,31,3909},{1,29,465},{1,21,676},{1,19,538},{0,30,9669},{0,22,4878},{0,18,1190},{0,14,5138},{0,16,12390},{0,13,6789},{2,31,2966},{1,29,209},{2,20,149},{1,19,282},{6,10,9669},{0,22,4878},{0,18,1190},{0,14,5138},{12,3,9669},{0,14,5138},{1,26,320},{1,26,320},{1,26,320},{1,16,324},{0,19,2180},{0,15,680},{0,15,680},
{0,9,740},{0,9,3149},{0,8,1441},{1,26,64},{1,26,64},{1,26,64},{1,16,68},{5,2,2178},{0,15,680},{0,15,680},{0,9,740},{8,1,2178},{0,9,740},{11,3,2665},{0,31,41},{3,20,8},{0,19,98},{11,3,2665},{15,6,2665},{0,19,98},{0,15,2689},{15,6,2665},{0,15,2689},{1,0,320},{1,0,320},{1,0,320},{1,0,320},{0,8,0},{0,8,0},{0,8,0},{0,5,1},{0,4,160},
{0,4,160},{2,31,4514},{1,31,630},{1,22,1110},{1,20,694},{0,31,9789},{0,23,4646},{0,20,849},{0,15,4826},{0,18,12955},{0,14,6798},{3,31,3101},{2,30,232},{2,21,197},{2,20,305},{3,23,9669},{0,23,4646},{0,20,849},{0,15,4826},{11,6,9669},{0,15,4826},{1,29,545},{1,29,545},{1,29,545},{1,18,546},{0,22,2180},{0,17,505},{0,17,505},{0,11,610},{0,11,3467},{0,10,1513},{2,26,1},
{2,26,1},{2,26,1},{2,17,0},{5,5,2178},{0,17,505},{0,17,505},{0,11,610},{5,7,2178},{0,11,610},{11,6,2665},{1,31,85},{3,21,17},{0,20,65},{11,6,2665},{15,8,2665},{0,20,65},{0,16,2689},{15,8,2665},{0,16,2689},{1,0,545},{1,0,545},{1,0,545},{1,0,545},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,289},{0,5,289},{2,31,5330},{1,31,1110},{2,23,1490},
{1,21,979},{1,31,9981},{0,26,4406},{0,21,579},{0,16,4610},{0,19,13489},{0,15,6846},{3,31,3341},{2,31,226},{3,22,146},{2,21,282},{9,4,9669},{0,26,4406},{0,21,579},{0,16,4610},{9,10,9669},{0,16,4610},{1,31,885},{1,31,885},{1,31,885},{1,20,885},{0,24,2178},{0,19,389},{0,19,389},{0,12,464},{0,12,3885},{0,11,1603},{3,25,64},{3,25,64},{3,25,64},{3,17,68},{7,1,2178},
{0,19,389},{0,19,389},{0,12,464},{10,2,2178},{0,12,464},{13,2,2665},{2,31,162},{4,22,5},{0,22,37},{13,2,2665},{12,13,2665},{0,22,37},{0,17,2689},{12,13,2665},{0,17,2689},{1,0,881},{1,0,881},{1,0,881},{1,0,881},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,6,445},{0,6,445},{3,31,6366},{2,31,1635},{2,24,1886},{1,22,1410},{1,31,10381},{0,28,4146},{0,22,377},
{0,17,4373},{0,20,14006},{0,16,6915},{4,31,3434},{3,31,242},{3,23,197},{3,22,305},{10,3,9669},{0,28,4146},{0,22,377},{0,17,4373},{11,9,9669},{0,17,4373},{2,31,1346},{2,31,1346},{2,31,1346},{2,20,1345},{0,27,2180},{0,21,274},{0,21,274},{0,13,353},{0,14,4269},{0,11,1763},{3,27,4},{3,27,4},{3,27,4},{3,19,0},{5,10,2178},{0,21,274},{0,21,274},{0,13,353},{12,1,2178},
{0,13,353},{14,1,2665},{3,31,242},{4,23,10},{0,23,10},{14,1,2665},{15,11,2665},{0,23,10},{0,18,2689},{15,11,2665},{0,18,2689},{1,0,1345},{1,0,1345},{1,0,1345},{1,0,1345},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{0,7,637},{0,7,637},{3,31,7374},{2,31,2339},{2,25,2441},{2,23,1763},{2,31,11019},{0,29,3909},{0,23,243},{0,18,4154},{0,22,14614},{0,17,7029},{5,31,3654},
{4,31,394},{4,24,149},{3,23,282},{9,9,9669},{0,29,3909},{0,23,243},{0,18,4154},{14,7,9669},{0,18,4154},{2,31,1714},{2,31,1714},{2,31,1714},{2,22,1669},{0,29,2180},{0,23,194},{0,23,194},{0,14,260},{0,15,4686},{0,13,1937},{3,30,64},{3,30,64},{3,30,64},{3,20,68},{8,1,2178},{0,23,194},{0,23,194},{0,14,260},{10,5,2178},{0,14,260},{15,0,2665},{4,31,313},{5,24,8},
{0,24,4},{15,0,2665},{13,15,2665},{0,24,4},{0,19,2689},{13,15,2665},{0,19,2689},{2,0,1665},{2,0,1665},{2,0,1665},{2,0,1665},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{0,8,832},{0,8,832},{3,31,8967},{3,31,3510},{3,26,3255},{2,24,2243},{2,31,11766},{0,31,3686},{0,25,138},{0,19,3938},{0,23,15369},{0,18,7206},{5,31,3933},{4,31,457},{4,25,197},{4,24,305},{12,2,9669},
{0,31,3686},{0,25,138},{0,19,3938},{13,10,9669},{0,19,3938},{2,31,2434},{2,31,2434},{2,31,2434},{2,23,2182},{0,31,2210},{0,25,137},{0,25,137},{0,15,181},{0,16,5157},{0,14,2163},{4,30,1},{4,30,1},{4,30,1},{4,21,0},{8,4,2178},{0,25,137},{0,25,137},{0,15,181},{14,2,2178},{0,15,181},{15,3,2665},{5,31,421},{5,25,17},{1,25,5},{15,3,2665},{12,18,2665},{1,25,5},
{0,20,2689},{12,18,2665},{0,20,2689},{2,0,2178},{2,0,2178},{2,0,2178},{2,0,2178},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{0,10,1125},{0,10,1125},{4,31,10234},{3,31,4421},{3,27,3739},{2,26,2742},{2,31,12773},{0,31,3719},{0,26,87},{0,20,3771},{0,25,16061},{0,19,7283},{6,31,4050},{5,31,629},{5,26,146},{4,25,282},{11,8,9669},{0,31,3718},{0,26,86},{0,20,3770},{11,14,9669},
{0,20,3770},{3,31,3125},{3,31,3125},{3,31,3125},{2,25,2706},{1,31,2411},{0,26,86},{0,26,86},{0,16,129},{0,18,5544},{0,15,2318},{5,29,64},{5,29,64},{5,29,64},{5,21,68},{3,25,2178},{0,26,85},{0,26,85},{0,16,128},{12,6,2178},{0,16,128},{15,6,2665},{5,31,565},{6,26,5},{1,26,2},{15,6,2665},{14,17,2665},{1,26,2},{0,21,2689},{14,17,2665},{0,21,2689},{2,0,2705},
{2,0,2705},{2,0,2705},{2,0,2705},{0,24,1},{0,24,1},{0,24,1},{0,15,5},{0,11,1348},{0,11,1348},{4,31,10874},{4,31,5018},{3,28,3750},{3,26,2754},{3,31,13045},{1,31,4003},{0,27,183},{0,21,3686},{0,27,15601},{0,20,6570},{7,31,4366},{5,31,965},{5,27,197},{5,26,305},{12,7,9669},{1,31,3954},{0,27,102},{0,21,3605},{13,13,9669},{0,21,3605},{3,31,3173},{3,31,3173},{3,31,3173},
{3,25,2690},{1,31,2427},{0,28,113},{0,28,113},{0,17,170},{0,20,5170},{0,16,1856},{5,31,4},{5,31,4},{5,31,4},{5,23,0},{9,6,2178},{0,28,32},{0,28,32},{0,17,89},{14,5,2178},{0,17,89},{15,8,2665},{6,31,706},{6,27,10},{2,27,10},{15,8,2665},{12,21,2665},{2,27,10},{0,22,2689},{12,21,2665},{0,22,2689},{3,0,2689},{3,0,2689},{3,0,2689},{3,0,2689},{1,23,53},
{1,23,53},{1,23,53},{1,15,49},{0,13,1217},{0,13,1217},{5,31,11278},{4,31,5402},{4,29,3753},{3,28,2745},{4,31,13566},{1,31,4403},{1,28,77},{0,22,3747},{0,28,15046},{0,21,5958},{7,31,4590},{6,31,1171},{6,28,149},{5,27,282},{14,3,9669},{2,31,4265},{1,28,76},{0,22,3458},{11,17,9669},{0,22,3458},{4,31,3377},{4,31,3377},{4,31,3377},{3,27,2706},{2,31,2532},{1,28,73},{1,28,73},
{1,18,129},{0,21,4837},{0,17,1490},{6,31,82},{6,31,82},{6,31,82},{5,24,68},{10,5,2178},{0,30,8},{0,30,8},{0,19,49},{12,9,2178},{0,19,49},{15,11,2665},{7,31,850},{7,28,8},{2,28,4},{15,11,2665},{15,19,2665},{2,28,4},{0,23,2689},{15,19,2665},{0,23,2689},{3,0,2705},{3,0,2705},{3,0,2705},{3,0,2705},{1,26,1},{1,26,1},{1,26,1},{1,16,5},{0,14,1037},
{0,14,1037},{6,31,11954},{5,31,6090},{4,30,3794},{4,28,2754},{5,31,14170},{2,31,4863},{2,29,187},{1,24,3689},{0,30,14558},{0,23,5274},{8,31,5030},{7,31,1556},{6,29,197},{6,28,305},{14,6,9669},{3,31,4594},{1,29,101},{0,24,3265},{15,14,9669},{0,24,3265},{4,31,3530},{4,31,3530},{4,31,3530},{4,27,2693},{2,31,2739},{1,30,134},{1,30,134},{1,19,197},{0,23,4506},{0,19,1109},{6,31,64},
{6,31,64},{6,31,64},{6,25,0},{10,8,2178},{1,30,34},{1,30,34},{0,20,16},{11,12,2178},{0,20,16},{15,14,2665},{8,31,1053},{7,29,17},{3,29,5},{15,14,2665},{14,22,2665},{3,29,5},{0,24,2689},{14,22,2665},{0,24,2689},{4,0,2689},{4,0,2689},{4,0,2689},{4,0,2689},{2,26,50},{2,26,50},{2,26,50},{2,17,49},{0,16,818},{0,16,818},{6,31,12466},{5,31,6794},{5,31,3739},
{4,30,2742},{5,31,14554},{3,31,5363},{2,30,87},{1,24,3737},{0,31,14190},{0,24,4785},{8,31,5158},{7,31,2036},{7,30,146},{6,29,282},{13,12,9669},{4,31,4806},{2,30,86},{0,25,3130},{13,18,9669},{0,25,3130},{5,31,3658},{5,31,3658},{5,31,3658},{4,29,2706},{3,31,2795},{2,30,86},{2,30,86},{2,20,129},{0,25,4315},{0,20,809},{7,31,100},{7,31,100},{7,31,100},{7,25,68},{9,14,2178},
{1,31,68},{1,31,68},{0,21,1},{14,10,2178},{0,21,1},{13,23,2665},{9,31,1241},{8,30,50},{3,30,2},{13,23,2665},{11,27,2665},{3,30,2},{0,25,2689},{11,27,2665},{0,25,2689},{4,0,2705},{4,0,2705},{4,0,2705},{4,0,2705},{2,28,1},{2,28,1},{2,28,1},{2,19,5},{0,18,666},{0,18,666},{7,31,13094},{6,31,7445},{5,31,3915},{5,30,2754},{6,31,14998},{4,31,5926},{2,31,183},
{2,25,3686},{0,31,14254},{0,25,4323},{9,31,5546},{8,31,2478},{7,31,197},{7,30,305},{14,11,9669},{5,31,5138},{2,31,102},{0,26,3013},{15,17,9669},{0,26,3013},{5,31,3914},{5,31,3914},{5,31,3914},{5,29,2690},{4,31,3042},{2,31,182},{2,31,182},{2,21,170},{0,27,4059},{0,21,597},{7,31,196},{7,31,196},{7,31,196},{7,27,0},{11,10,2178},{2,31,101},{2,31,101},{0,22,4},{5,23,2178},
{0,22,4},{15,19,2665},{10,31,1384},{8,31,5},{4,31,10},{15,19,2665},{14,25,2665},{4,31,10},{0,26,2689},{14,25,2665},{0,26,2689},{5,0,2689},{5,0,2689},{5,0,2689},{5,0,2689},{3,27,53},{3,27,53},{3,27,53},{3,19,49},{0,20,505},{0,20,505},{7,31,12517},{6,31,7482},{6,31,4001},{5,31,2706},{6,31,14185},{4,31,5491},{3,31,154},{2,26,3124},{0,31,13437},{0,26,3306},{9,31,4949},
{8,31,2261},{8,31,325},{7,30,192},{14,13,8712},{6,31,4686},{3,31,153},{0,27,2403},{11,23,8712},{0,27,2403},{6,31,4001},{6,31,4001},{6,31,4001},{5,31,2706},{4,31,3234},{3,31,154},{3,31,154},{3,22,129},{0,28,3762},{0,23,425},{8,31,325},{8,31,325},{8,31,325},{7,28,68},{12,9,2178},{3,31,153},{3,31,153},{1,23,1},{14,13,2178},{1,23,1},{13,27,2178},{10,31,1157},{9,31,16},
{5,31,1},{13,27,2178},{13,27,2178},{5,31,1},{0,27,2178},{13,27,2178},{0,27,2178},{5,0,2705},{5,0,2705},{5,0,2705},{5,0,2705},{3,30,1},{3,30,1},{3,30,1},{3,20,5},{0,22,389},{0,22,389},{8,31,12034},{7,31,7195},{6,31,4370},{6,31,2693},{7,31,13066},{5,31,5014},{4,31,261},{3,27,2390},{1,31,12394},{0,27,2277},{10,31,4410},{9,31,2045},{8,31,289},{8,30,192},{14,15,7578},
{7,31,4050},{4,31,212},{0,27,1701},{12,23,7578},{0,27,1701},{6,31,4370},{6,31,4370},{6,31,4370},{6,31,2693},{5,31,3429},{4,31,261},{4,31,261},{3,23,197},{0,30,3509},{0,24,306},{8,31,289},{8,31,289},{8,31,289},{8,28,68},{15,2,2178},{4,31,212},{4,31,212},{1,24,9},{13,16,2178},{1,24,9},{15,22,1625},{11,31,850},{9,31,25},{6,31,4},{15,22,1625},{13,28,1625},{6,31,4},
{0,27,1665},{13,28,1625},{0,27,1665},{6,0,2689},{6,0,2689},{6,0,2689},{6,0,2689},{4,30,50},{4,30,50},{4,30,50},{4,21,49},{0,24,306},{0,24,306},{8,31,11042},{7,31,7259},{7,31,4450},{6,31,2805},{7,31,12298},{5,31,4742},{4,31,501},{4,27,1875},{2,31,11643},{0,28,1578},{10,31,3802},{9,31,1869},{9,31,425},{8,31,25},{13,20,6661},{7,31,3554},{5,31,292},{0,28,1217},{13,23,6662},
{0,28,1217},{7,31,4450},{7,31,4450},{7,31,4450},{6,31,2805},{6,31,3714},{4,31,501},{4,31,501},{4,24,129},{0,31,3354},{0,25,244},{9,31,425},{9,31,425},{9,31,425},{8,30,0},{11,18,2178},{5,31,292},{5,31,292},{2,25,1},{10,21,2178},{2,25,1},{15,23,1201},{11,31,674},{10,31,9},{7,31,16},{15,23,1201},{12,30,1201},{7,31,16},{0,28,1201},{12,30,1201},{0,28,1201},{6,0,2705},
{6,0,2705},{6,0,2705},{6,0,2705},{4,31,17},{4,31,17},{4,31,17},{4,23,5},{0,26,218},{0,26,218},{8,31,10434},{8,31,7186},{7,31,4898},{7,31,2833},{8,31,11595},{6,31,4462},{5,31,629},{4,28,1387},{3,31,10895},{0,28,1002},{11,31,3446},{10,31,1707},{9,31,505},{8,31,73},{13,22,5829},{8,31,3170},{6,31,405},{1,28,869},{12,25,5829},{1,28,869},{7,31,4898},{7,31,4898},{7,31,4898},
{7,31,2833},{6,31,3906},{5,31,629},{5,31,629},{4,25,170},{0,31,3546},{0,27,228},{9,31,505},{9,31,505},{9,31,505},{9,30,68},{13,14,2178},{6,31,405},{6,31,405},{2,26,4},{8,25,2178},{2,26,4},{13,31,841},{12,31,461},{11,31,1},{8,31,9},{13,31,841},{15,27,841},{8,31,9},{0,28,865},{15,27,841},{0,28,865},{7,0,2689},{7,0,2689},{7,0,2689},{7,0,2689},{5,31,53},
{5,31,53},{5,31,53},{5,23,49},{0,28,137},{0,28,137},{9,31,10014},{8,31,6962},{8,31,5026},{7,31,3105},{8,31,10683},{7,31,4354},{6,31,933},{5,28,1019},{4,31,10078},{0,29,630},{11,31,2934},{10,31,1611},{10,31,650},{9,31,25},{15,17,5082},{8,31,2786},{7,31,521},{1,29,546},{12,26,5082},{1,29,546},{8,31,5026},{8,31,5026},{8,31,5026},{7,31,3105},{7,31,4170},{6,31,933},{6,31,933},
{5,26,129},{1,31,3814},{0,28,234},{10,31,650},{10,31,650},{10,31,650},{9,31,25},{14,13,2178},{7,31,521},{7,31,521},{3,27,1},{11,23,2178},{3,27,1},{15,26,545},{13,31,313},{12,31,4},{10,31,4},{15,26,545},{14,29,545},{10,31,4},{0,29,545},{14,29,545},{0,29,545},{7,0,2705},{7,0,2705},{7,0,2705},{7,0,2705},{5,31,101},{5,31,101},{5,31,101},{5,24,5},{0,29,85},
{0,29,85},{9,31,9465},{9,31,7065},{8,31,5233},{8,31,3329},{8,31,10116},{7,31,4183},{6,31,1338},{5,29,645},{5,31,9447},{0,30,441},{11,31,2664},{11,31,1525},{10,31,848},{10,31,113},{15,19,4344},{9,31,2424},{8,31,724},{2,30,321},{13,26,4344},{2,30,321},{8,31,5233},{8,31,5233},{8,31,5233},{8,31,3329},{7,31,4629},{6,31,1338},{6,31,1338},{5,27,197},{2,31,4212},{1,29,213},{10,31,848},
{10,31,848},{10,31,848},{10,31,113},{14,16,2178},{8,31,724},{8,31,724},{3,28,9},{15,20,2178},{3,28,9},{15,27,290},{13,31,178},{13,31,9},{11,31,1},{15,27,290},{14,30,290},{11,31,1},{0,29,320},{14,30,290},{0,29,320},{8,0,2929},{8,0,2929},{8,0,2929},{8,0,2929},{6,31,113},{6,31,113},{6,31,113},{6,25,49},{0,31,45},{0,31,45},{10,31,9329},{9,31,6985},{9,31,5541},
{8,31,3473},{9,31,9496},{8,31,4420},{7,31,1630},{6,29,426},{5,31,9031},{1,30,301},{12,31,2275},{11,31,1557},{11,31,932},{10,31,225},{13,27,3779},{10,31,2086},{8,31,884},{3,30,129},{13,27,3779},{3,30,129},{9,31,5541},{9,31,5541},{9,31,5541},{8,31,3473},{8,31,4836},{7,31,1630},{7,31,1630},{6,28,129},{4,31,4442},{1,30,237},{11,31,932},{11,31,932},{11,31,932},{10,31,225},{13,22,2178},
{8,31,884},{8,31,884},{4,29,1},{12,25,2178},{4,29,1},{15,28,130},{14,31,72},{13,31,25},{12,31,9},{15,28,130},{15,29,136},{12,31,9},{0,30,128},{15,29,136},{0,30,128},{8,0,2689},{8,0,2689},{8,0,2689},{8,0,2689},{6,31,257},{6,31,257},{6,31,257},{6,27,5},{1,31,89},{1,31,89},{10,31,8929},{10,31,7186},{9,31,5845},{9,31,3829},{9,31,9208},{8,31,4260},{7,31,2270},
{6,30,245},{6,31,8708},{2,31,228},{12,31,2115},{12,31,1515},{12,31,1154},{11,31,353},{13,29,3299},{11,31,1938},{10,31,1013},{4,30,68},{14,27,3299},{4,30,68},{9,31,5845},{9,31,5845},{9,31,5845},{9,31,3829},{8,31,5124},{7,31,2270},{7,31,2270},{6,29,170},{4,31,4762},{2,31,228},{12,31,1154},{12,31,1154},{12,31,1154},{11,31,353},{15,18,2178},{10,31,1013},{10,31,1013},{4,30,4},{10,29,2178},
{4,30,4},{15,30,34},{14,31,40},{14,31,4},{14,31,4},{15,30,34},{15,30,34},{14,31,4},{0,30,64},{15,30,34},{0,30,64},{8,0,2705},{8,0,2705},{8,0,2705},{8,0,2705},{7,31,245},{7,31,245},{7,31,245},{7,27,49},{2,31,164},{2,31,164},{11,31,8857},{10,31,7170},{10,31,6209},{9,31,4133},{10,31,8853},{8,31,4484},{8,31,2548},{7,31,170},{7,31,8388},{3,31,244},{13,31,1971},
{12,31,1611},{12,31,1250},{11,31,625},{15,24,2904},{11,31,1826},{10,31,1157},{5,31,1},{15,27,2907},{5,31,1},{10,31,6209},{10,31,6209},{10,31,6209},{9,31,4133},{9,31,5460},{8,31,2548},{8,31,2548},{7,30,129},{5,31,5126},{3,31,244},{12,31,1250},{12,31,1250},{12,31,1250},{11,31,625},{13,27,2178},{10,31,1157},{10,31,1157},{5,31,1},{13,27,2178},{5,31,1},{15,31,0},{15,31,0},{15,31,0},
{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{9,0,2689},{9,0,2689},{9,0,2689},{9,0,2689},{7,31,485},{7,31,485},{7,31,485},{7,28,5},{3,31,244},{3,31,244},{11,31,7705},{11,31,6566},{10,31,5633},{10,31,3890},{10,31,7737},{9,31,3874},{8,31,2386},{7,31,116},{7,31,7398},{4,31,317},{13,31,1458},{13,31,1186},{13,31,1017},{12,31,425},{15,25,2166},
{12,31,1398},{11,31,850},{6,31,4},{12,31,2166},{6,31,4},{10,31,5633},{10,31,5633},{10,31,5633},{10,31,3890},{9,31,4830},{8,31,2386},{8,31,2386},{7,31,116},{6,31,4509},{4,31,317},{13,31,1017},{13,31,1017},{13,31,1017},{12,31,425},{15,22,1625},{11,31,850},{11,31,850},{6,31,4},{13,28,1625},{6,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},
{0,31,0},{15,31,0},{0,31,0},{9,0,2725},{9,0,2725},{9,0,2725},{9,0,2725},{8,31,450},{8,31,450},{8,31,450},{7,30,101},{4,31,317},{4,31,317},{11,31,6953},{11,31,5814},{11,31,5189},{10,31,3650},{11,31,6713},{10,31,3531},{9,31,2142},{8,31,74},{8,31,6397},{5,31,425},{13,31,1138},{13,31,866},{13,31,697},{12,31,361},{15,26,1601},{12,31,1046},{11,31,674},{7,31,16},{14,29,1601},
{7,31,16},{11,31,5189},{11,31,5189},{11,31,5189},{10,31,3650},{10,31,4313},{9,31,2142},{9,31,2142},{8,31,74},{7,31,3981},{5,31,425},{13,31,697},{13,31,697},{13,31,697},{12,31,361},{15,23,1201},{11,31,674},{11,31,674},{7,31,16},{12,30,1201},{7,31,16},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{10,0,2689},
{10,0,2689},{10,0,2689},{10,0,2689},{8,31,578},{8,31,578},{8,31,578},{8,30,49},{5,31,425},{5,31,425},{12,31,6211},{11,31,5318},{11,31,4693},{11,31,3554},{11,31,5833},{10,31,3067},{10,31,2106},{8,31,10},{9,31,5601},{6,31,580},{14,31,825},{13,31,674},{13,31,505},{13,31,233},{15,27,1122},{13,31,738},{12,31,461},{8,31,9},{13,31,1122},{8,31,9},{11,31,4693},{11,31,4693},{11,31,4693},
{11,31,3554},{10,31,3849},{10,31,2106},{10,31,2106},{8,31,10},{7,31,3629},{6,31,580},{13,31,505},{13,31,505},{13,31,505},{13,31,233},{13,31,841},{12,31,461},{12,31,461},{8,31,9},{15,27,841},{8,31,9},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{10,0,2705},{10,0,2705},{10,0,2705},{10,0,2705},{9,31,666},
{9,31,666},{9,31,666},{8,31,10},{6,31,580},{6,31,580},{12,31,5427},{12,31,4827},{11,31,4453},{11,31,3314},{12,31,5175},{10,31,2859},{10,31,1898},{9,31,74},{10,31,4842},{7,31,724},{14,31,489},{14,31,425},{14,31,389},{13,31,169},{14,31,729},{13,31,482},{13,31,313},{10,31,4},{14,30,726},{10,31,4},{11,31,4453},{11,31,4453},{11,31,4453},{11,31,3314},{11,31,3445},{10,31,1898},{10,31,1898},
{9,31,74},{8,31,3213},{7,31,724},{14,31,389},{14,31,389},{14,31,389},{13,31,169},{15,26,545},{13,31,313},{13,31,313},{10,31,4},{14,29,545},{10,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{11,0,2689},{11,0,2689},{11,0,2689},{11,0,2689},{9,31,890},{9,31,890},{9,31,890},{9,31,74},{7,31,724},
{7,31,724},{2,31,33740},{0,31,5184},{0,22,420},{0,21,4221},{1,31,46089},{0,29,24105},{0,21,8317},{0,18,24790},{0,21,63990},{0,16,38959},{1,31,9704},{0,30,2866},{0,21,389},{0,19,3229},{7,2,18065},{0,20,13257},{0,17,6153},{0,12,13481},{12,0,18065},{0,12,13481},{0,15,1},{0,15,1},{0,15,1},{0,9,1},{0,8,1105},{0,7,585},{0,7,585},{0,4,596},{0,4,1273},{0,4,740},{0,15,1},
{0,15,1},{0,15,1},{0,9,1},{2,1,1105},{0,7,585},{0,7,585},{0,4,596},{4,0,1105},{0,4,596},{9,6,9248},{0,30,2866},{0,21,389},{0,19,3229},{9,6,9248},{14,5,9248},{0,19,3229},{0,14,9248},{14,5,9248},{0,14,9248},{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},{2,31,38380},{0,31,6720},{0,23,245},
{0,22,3864},{2,31,50747},{0,31,24961},{0,22,8353},{0,19,25735},{0,22,65535},{0,17,41319},{1,31,10152},{0,31,2624},{0,23,229},{0,20,2980},{5,10,19334},{0,20,13769},{0,18,6243},{0,13,14116},{12,1,19334},{0,13,14116},{0,18,0},{0,18,0},{0,18,0},{0,11,1},{0,9,1513},{0,8,772},{0,8,772},{0,5,821},{0,5,1750},{0,4,1028},{0,18,0},{0,18,0},{0,18,0},{0,11,1},{1,6,1513},
{0,8,772},{0,8,772},{0,5,821},{3,2,1513},{0,5,821},{10,5,9248},{0,31,2624},{0,23,229},{0,20,2980},{10,5,9248},{12,9,9248},{0,20,2980},{0,15,9248},{12,9,9248},{0,15,9248},{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},{2,31,43788},{0,31,9024},{0,24,126},{0,23,3525},{2,31,56155},{0,31,26241},{0,23,8425},
{0,20,26793},{0,23,65535},{0,18,43819},{2,31,10787},{0,31,2624},{0,24,122},{0,21,2701},{8,0,20689},{0,22,14385},{0,19,6369},{0,13,14756},{12,2,20689},{0,13,14756},{0,21,1},{0,21,1},{0,21,1},{0,12,4},{0,10,1989},{0,9,1018},{0,9,1018},{0,6,1096},{0,5,2294},{0,5,1334},{0,21,1},{0,21,1},{0,21,1},{0,12,4},{1,7,1985},{0,9,1018},{0,9,1018},{0,6,1096},{1,5,1985},
{0,6,1096},{12,1,9248},{0,31,2624},{0,24,122},{0,21,2701},{12,1,9248},{15,7,9248},{0,21,2701},{0,16,9250},{15,7,9248},{0,16,9250},{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},{2,31,49964},{1,31,11512},{0,25,41},{0,24,3109},{2,31,62331},{0,31,28289},{0,24,8585},{0,21,27848},{0,23,65535},{0,19,46459},{2,31,11395},
{0,31,2880},{0,25,37},{0,22,2440},{8,2,22129},{0,23,15030},{0,20,6509},{0,14,15441},{13,2,22129},{0,14,15441},{0,23,1},{0,23,1},{0,23,1},{0,14,0},{0,12,2525},{0,10,1300},{0,10,1300},{0,6,1384},{0,6,2905},{0,6,1708},{0,23,1},{0,23,1},{0,23,1},{0,14,0},{3,2,2521},{0,10,1300},{0,10,1300},{0,6,1384},{5,1,2521},{0,6,1384},{11,7,9248},{0,31,2880},{0,25,37},
{0,22,2440},{11,7,9248},{13,11,9248},{0,22,2440},{0,17,9250},{13,11,9248},{0,17,9250},{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},{3,31,57022},{1,31,15166},{0,26,20},{0,25,2804},{2,31,65535},{0,31,31511},{0,25,8733},{0,22,29095},{0,26,65535},{0,20,49444},{2,31,12385},{0,31,3474},{0,26,4},{0,23,2173},{8,4,23851},
{0,23,15948},{0,21,6729},{0,15,16274},{14,2,23851},{0,15,16274},{0,26,0},{0,26,0},{0,26,0},{0,16,4},{0,13,3200},{0,11,1665},{0,11,1665},{0,7,1754},{0,7,3691},{0,6,2185},{0,26,0},{0,26,0},{0,26,0},{0,16,4},{1,10,3200},{0,11,1665},{0,11,1665},{0,7,1754},{5,2,3200},{0,7,1754},{11,10,9248},{1,31,3226},{0,26,4},{0,23,2173},{11,10,9248},{5,23,9248},{0,23,2173},
{0,18,9248},{5,23,9248},{0,18,9248},{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},{3,31,63870},{1,31,19230},{0,27,45},{0,27,2520},{3,31,65535},{0,31,35191},{0,26,8925},{0,23,30250},{0,28,65535},{0,21,52374},{3,31,13449},{1,31,4026},{0,27,29},{0,24,1901},{3,24,25472},{0,26,16706},{0,22,6963},{0,16,17124},{14,3,25472},
{0,16,17124},{0,29,1},{0,29,1},{0,29,1},{0,17,1},{0,14,3874},{0,13,2084},{0,13,2084},{0,8,2165},{0,8,4466},{0,7,2627},{0,29,1},{0,29,1},{0,29,1},{0,17,1},{4,1,3872},{0,13,2084},{0,13,2084},{0,8,2165},{3,5,3872},{0,8,2165},{12,9,9248},{2,31,3593},{0,27,29},{0,24,1901},{12,9,9248},{14,13,9248},{0,24,1901},{0,19,9248},{14,13,9248},{0,19,9248},{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},{3,31,65535},{1,31,24002},{0,28,109},{0,27,2268},{3,31,65535},{1,31,39095},{0,27,8825},{0,24,30825},{0,28,65535},{0,22,54996},{3,31,14345},{1,31,4766},{0,29,102},{0,26,1697},{3,26,26744},{0,28,17104},{0,23,6957},{0,17,17625},{15,3,26744},{0,17,17625},{0,31,5},{0,31,5},{0,31,5},
{0,19,5},{0,16,4418},{0,14,2306},{0,14,2306},{0,9,2420},{0,8,5122},{0,8,2997},{0,31,5},{0,31,5},{0,31,5},{0,19,5},{3,6,4418},{0,14,2306},{0,14,2306},{0,9,2420},{3,6,4418},{0,9,2420},{14,5,9248},{4,31,3904},{1,28,1},{0,26,1693},{14,5,9248},{12,17,9248},{0,26,1693},{0,20,9250},{12,17,9248},{0,20,9250},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{3,31,65535},{1,31,29442},{0,29,330},{0,28,2105},{3,31,65535},{1,31,42151},{0,28,7781},{0,25,30108},{0,29,65535},{0,22,56388},{4,31,14976},{2,31,5434},{1,29,62},{0,27,1580},{11,0,26744},{0,29,16547},{0,24,6221},{0,18,17124},{13,7,26744},{0,18,17124},{0,31,181},{0,31,181},{0,31,181},{0,20,101},{0,19,4420},{0,16,2005},{0,16,2005},
{0,10,2165},{0,9,5389},{0,9,2925},{1,31,37},{1,31,37},{1,31,37},{1,19,37},{5,2,4418},{0,16,2005},{0,16,2005},{0,10,2165},{8,1,4418},{0,10,2165},{13,11,9248},{4,31,4160},{1,29,26},{0,27,1480},{13,11,9248},{15,15,9248},{0,27,1480},{0,21,9250},{15,15,9248},{0,21,9250},{0,0,100},{0,0,100},{0,0,100},{0,0,100},{0,3,1},{0,3,1},{0,3,1},{0,2,0},{0,1,34},
{0,1,34},{4,31,65535},{2,31,36070},{0,30,822},{0,30,2062},{3,31,65535},{1,31,46660},{0,29,6696},{0,26,29322},{0,31,65535},{0,23,58077},{4,31,15507},{3,31,6253},{1,31,109},{0,28,1646},{11,3,26744},{0,31,15992},{0,26,5346},{0,19,16582},{11,11,26744},{0,19,16582},{1,31,329},{1,31,329},{1,31,329},{1,21,266},{0,22,4420},{0,18,1737},{0,18,1737},{0,11,1898},{0,11,5707},{0,10,2885},{1,31,73},
{1,31,73},{1,31,73},{1,21,10},{5,5,4418},{0,18,1737},{0,18,1737},{0,11,1898},{5,7,4418},{0,11,1898},{13,14,9248},{5,31,4570},{2,30,4},{0,28,1285},{13,14,9248},{8,25,9248},{0,28,1285},{0,22,9248},{8,25,9248},{0,22,9248},{1,0,265},{1,0,265},{1,0,265},{1,0,265},{0,6,1},{0,6,1},{0,6,1},{0,4,1},{0,3,97},{0,3,97},{4,31,65535},{2,31,40786},{0,31,1405},
{0,30,2138},{4,31,65535},{1,31,49800},{0,30,5634},{0,27,27967},{0,31,65535},{0,24,58770},{5,31,15531},{3,31,6593},{2,31,61},{1,29,1533},{12,2,26259},{0,31,15284},{0,27,4514},{0,20,15812},{13,10,26259},{0,20,15812},{1,31,633},{1,31,633},{1,31,633},{1,22,381},{0,24,4418},{0,20,1480},{0,20,1480},{0,12,1640},{0,12,6125},{0,11,2891},{2,31,61},{2,31,61},{2,31,61},{2,21,37},{7,1,4418},
{0,20,1480},{0,20,1480},{0,12,1640},{10,2,4418},{0,12,1640},{13,16,8978},{6,31,4777},{2,31,25},{0,29,1040},{13,16,8978},{15,18,8978},{0,29,1040},{0,23,8980},{15,18,8978},{0,23,8980},{1,0,377},{1,0,377},{1,0,377},{1,0,377},{0,9,0},{0,9,0},{0,9,0},{0,5,4},{0,4,193},{0,4,193},{4,31,65535},{2,31,40898},{1,31,2217},{0,31,2125},{4,31,65535},{1,31,47976},{0,30,4194},
{0,27,24703},{0,31,65535},{0,24,56130},{5,31,14379},{4,31,6051},{2,31,173},{2,29,1284},{9,14,24371},{0,31,13716},{0,28,3402},{0,21,13989},{14,10,24371},{0,21,13989},{1,31,1193},{1,31,1193},{1,31,1193},{1,24,617},{0,27,4420},{0,22,1280},{0,22,1280},{0,13,1445},{0,14,6509},{0,12,2945},{2,31,173},{2,31,173},{2,31,173},{2,23,5},{5,10,4418},{0,22,1280},{0,22,1280},{0,13,1445},{12,1,4418},
{0,13,1445},{14,14,7938},{7,31,4253},{3,31,9},{0,29,656},{14,14,7938},{14,20,7938},{0,29,656},{0,23,7956},{14,20,7938},{0,23,7956},{1,0,617},{1,0,617},{1,0,617},{1,0,617},{0,11,4},{0,11,4},{0,11,4},{0,7,0},{0,5,325},{0,5,325},{4,31,65535},{2,31,41266},{1,31,3033},{0,31,2333},{4,31,65535},{1,31,46408},{0,30,3010},{0,27,21695},{0,31,65535},{0,25,53636},{6,31,13140},
{4,31,5571},{3,31,157},{2,29,932},{11,9,22568},{0,31,12404},{0,28,2474},{0,21,12245},{14,11,22568},{0,21,12245},{2,31,1630},{2,31,1630},{2,31,1630},{1,26,989},{0,29,4420},{0,23,1090},{0,23,1090},{0,14,1268},{0,15,6926},{0,13,3029},{3,31,157},{3,31,157},{3,31,157},{3,23,37},{8,1,4418},{0,23,1090},{0,23,1090},{0,14,1268},{10,5,4418},{0,14,1268},{15,12,6962},{7,31,3709},{4,31,1},
{0,30,353},{15,12,6962},{13,22,6962},{0,30,353},{0,24,6970},{13,22,6962},{0,24,6970},{1,0,985},{1,0,985},{1,0,985},{1,0,985},{0,14,0},{0,14,0},{0,14,0},{0,8,4},{0,6,493},{0,6,493},{4,31,65535},{2,31,41986},{1,31,4257},{0,31,2873},{4,31,65535},{1,31,44950},{0,30,1984},{0,28,18569},{0,31,65535},{0,25,51026},{6,31,11934},{5,31,5125},{4,31,296},{3,29,706},{13,4,20642},
{0,31,11234},{0,29,1634},{0,22,10422},{15,11,20642},{0,22,10422},{2,31,2350},{2,31,2350},{2,31,2350},{2,26,1450},{0,31,4450},{0,25,949},{0,25,949},{0,16,1096},{0,16,7397},{0,14,3171},{4,31,296},{4,31,296},{4,31,296},{3,25,10},{8,4,4418},{0,25,949},{0,25,949},{0,16,1096},{14,2,4418},{0,16,1096},{14,17,5941},{7,31,3250},{5,31,0},{0,30,128},{14,17,5941},{13,23,5941},{0,30,128},
{0,24,5953},{13,23,5941},{0,24,5953},{2,0,1450},{2,0,1450},{2,0,1450},{2,0,1450},{0,17,0},{0,17,0},{0,17,0},{0,10,1},{0,8,697},{0,8,697},{4,31,65535},{2,31,42898},{1,31,5617},{1,31,3337},{4,31,65535},{1,31,43926},{0,31,1250},{0,28,15865},{0,31,65535},{0,25,48978},{7,31,10938},{5,31,4773},{4,31,360},{3,30,509},{12,9,19021},{1,31,10246},{0,30,1088},{0,23,8945},{14,13,19021},
{0,23,8945},{2,31,3262},{2,31,3262},{2,31,3262},{2,28,1822},{1,31,4682},{0,28,776},{0,28,776},{0,17,925},{0,18,7893},{0,15,3333},{4,31,360},{4,31,360},{4,31,360},{4,25,37},{3,25,4418},{0,28,776},{0,28,776},{0,17,925},{12,6,4418},{0,17,925},{15,15,5101},{8,31,2777},{6,31,9},{0,31,25},{15,15,5101},{11,26,5101},{0,31,25},{0,25,5105},{11,26,5101},{0,25,5105},{2,0,1818},
{2,0,1818},{2,0,1818},{2,0,1818},{0,20,1},{0,20,1},{0,20,1},{0,12,1},{0,9,925},{0,9,925},{4,31,65535},{2,31,44066},{1,31,7233},{1,31,3993},{4,31,65535},{2,31,43110},{0,31,738},{0,28,13417},{0,31,65535},{0,25,47186},{7,31,9978},{6,31,4467},{5,31,452},{4,30,357},{15,1,17485},{2,31,9441},{0,30,704},{0,24,7570},{15,13,17485},{0,24,7570},{3,31,4058},{3,31,4058},{3,31,4058},
{2,29,2315},{1,31,4874},{0,29,610},{0,29,610},{0,18,772},{0,20,8427},{0,16,3497},{5,31,452},{5,31,452},{5,31,452},{4,27,5},{9,6,4418},{0,29,610},{0,29,610},{0,18,772},{14,5,4418},{0,18,772},{15,16,4325},{8,31,2377},{6,31,25},{0,31,9},{15,16,4325},{15,22,4325},{0,31,9},{0,25,4337},{15,22,4325},{0,25,4337},{2,0,2314},{2,0,2314},{2,0,2314},{2,0,2314},{0,22,1},
{0,22,1},{0,22,1},{0,13,4},{0,10,1189},{0,10,1189},{5,31,65535},{3,31,45090},{1,31,9105},{1,31,4905},{4,31,65535},{2,31,42326},{0,31,482},{0,28,11225},{0,31,65535},{0,26,45590},{7,31,9274},{6,31,4179},{5,31,612},{4,30,245},{14,6,16034},{3,31,8633},{0,31,482},{0,24,6242},{15,14,16034},{0,24,6242},{3,31,5066},{3,31,5066},{3,31,5066},{2,31,2939},{1,31,5322},{0,31,482},{0,31,482},
{0,19,637},{0,20,8939},{0,17,3725},{5,31,612},{5,31,612},{5,31,612},{5,27,37},{10,5,4418},{0,31,482},{0,31,482},{0,19,637},{12,9,4418},{0,19,637},{13,24,3613},{9,31,1973},{7,31,9},{2,31,1},{13,24,3613},{15,23,3613},{2,31,1},{0,26,3617},{15,23,3613},{0,26,3617},{2,0,2938},{2,0,2938},{2,0,2938},{2,0,2938},{0,25,1},{0,25,1},{0,25,1},{0,15,0},{0,11,1489},
{0,11,1489},{5,31,65535},{3,31,46530},{1,31,11517},{1,31,6237},{4,31,65535},{2,31,41750},{0,31,500},{0,29,8976},{0,31,65535},{0,26,43934},{8,31,8225},{7,31,3853},{6,31,680},{5,30,109},{11,18,14504},{4,31,7667},{0,31,500},{0,25,4979},{10,21,14504},{0,25,4979},{3,31,6506},{3,31,6506},{3,31,6506},{3,31,3701},{2,31,6019},{0,31,500},{0,31,500},{0,20,520},{0,22,9629},{0,18,4035},{6,31,680},
{6,31,680},{6,31,680},{5,29,10},{10,8,4418},{0,31,500},{0,31,500},{0,20,520},{11,12,4418},{0,20,520},{15,19,2888},{10,31,1537},{8,31,16},{3,31,4},{15,19,2888},{13,26,2888},{3,31,4},{0,26,2906},{13,26,2888},{0,26,2906},{3,0,3697},{3,0,3697},{3,0,3697},{3,0,3697},{0,28,1},{0,28,1},{0,28,1},{0,17,4},{0,11,1930},{0,11,1930},{5,31,65535},{3,31,48082},{1,31,13933},
{1,31,7693},{4,31,65535},{2,31,41510},{0,31,788},{0,29,7120},{0,31,65535},{0,26,42734},{8,31,7409},{7,31,3693},{7,31,884},{6,30,116},{13,13,13235},{4,31,6899},{1,31,628},{0,25,3987},{15,16,13235},{0,25,3987},{4,31,7686},{4,31,7686},{4,31,7686},{3,31,4437},{2,31,6659},{0,31,788},{0,31,788},{0,21,421},{0,23,10286},{0,20,4305},{7,31,884},{7,31,884},{7,31,884},{6,29,37},{9,14,4418},
{1,31,628},{1,31,628},{0,21,421},{14,10,4418},{0,21,421},{15,20,2312},{10,31,1217},{8,31,16},{4,31,9},{15,20,2312},{12,28,2312},{4,31,9},{0,27,2314},{12,28,2312},{0,27,2314},{3,0,4337},{3,0,4337},{3,0,4337},{3,0,4337},{0,30,1},{0,30,1},{0,30,1},{0,18,1},{0,13,2329},{0,13,2329},{5,31,65535},{3,31,49890},{2,31,16310},{1,31,9405},{4,31,65535},{2,31,41526},{0,31,1332},
{0,29,5520},{0,31,65535},{0,26,41790},{8,31,6849},{8,31,3601},{7,31,980},{6,31,5},{15,8,12051},{5,31,6275},{2,31,801},{0,26,3066},{11,22,12051},{0,26,3066},{4,31,9062},{4,31,9062},{4,31,9062},{3,31,5429},{2,31,7555},{1,31,1172},{1,31,1172},{0,23,325},{0,23,11118},{0,20,4625},{7,31,980},{7,31,980},{7,31,980},{6,31,5},{11,10,4418},{2,31,801},{2,31,801},{0,23,325},{5,23,4418},
{0,23,325},{13,28,1800},{11,31,949},{9,31,4},{6,31,1},{13,28,1800},{11,30,1800},{6,31,1},{0,27,1818},{11,30,1800},{0,27,1818},{3,0,5105},{3,0,5105},{3,0,5105},{3,0,5105},{0,31,36},{0,31,36},{0,31,36},{0,20,4},{0,15,2741},{0,15,2741},{5,31,65535},{3,31,51954},{2,31,18790},{1,31,11373},{5,31,65535},{2,31,41798},{0,31,2132},{0,29,4176},{0,31,65535},{0,27,41092},{9,31,6153},
{8,31,3297},{7,31,1332},{7,31,37},{14,13,10952},{5,31,5763},{3,31,965},{0,27,2291},{11,23,10952},{0,27,2291},{4,31,10694},{4,31,10694},{4,31,10694},{4,31,6566},{3,31,8619},{1,31,1716},{1,31,1716},{0,24,221},{0,26,11876},{0,22,4989},{7,31,1332},{7,31,1332},{7,31,1332},{7,31,37},{12,9,4418},{3,31,965},{3,31,965},{0,24,221},{14,13,4418},{0,24,221},{14,26,1352},{11,31,725},{10,31,0},
{7,31,1},{14,26,1352},{15,26,1352},{7,31,1},{0,28,1360},{15,26,1352},{0,28,1360},{3,0,6001},{3,0,6001},{3,0,6001},{3,0,6001},{0,31,196},{0,31,196},{0,31,196},{0,21,1},{0,16,3130},{0,16,3130},{5,31,65535},{3,31,54582},{2,31,21886},{1,31,13893},{5,31,65535},{2,31,42410},{0,31,3338},{0,30,2841},{0,31,65535},{0,27,40390},{9,31,5649},{9,31,3249},{8,31,1325},{7,31,109},{14,15,9818},
{6,31,5258},{4,31,1108},{0,27,1589},{12,23,9818},{0,27,1589},{5,31,12376},{5,31,12376},{5,31,12376},{4,31,7844},{3,31,9861},{1,31,2634},{1,31,2634},{0,25,136},{0,28,12696},{0,23,5429},{8,31,1325},{8,31,1325},{8,31,1325},{7,31,109},{15,2,4418},{4,31,1108},{4,31,1108},{0,25,136},{13,16,4418},{0,25,136},{15,24,925},{12,31,505},{11,31,1},{8,31,1},{15,24,925},{15,27,925},{8,31,1},
{0,28,937},{15,27,925},{0,28,937},{4,0,7060},{4,0,7060},{4,0,7060},{4,0,7060},{1,31,425},{1,31,425},{1,31,425},{0,23,0},{0,17,3665},{0,17,3665},{5,31,65535},{3,31,57190},{2,31,24910},{1,31,16405},{5,31,65535},{2,31,43226},{0,31,4682},{0,30,1833},{0,31,65535},{0,27,40038},{10,31,5202},{9,31,3073},{8,31,1565},{8,31,277},{13,20,8901},{7,31,4814},{5,31,1300},{0,28,1021},{13,23,8902},
{0,28,1021},{5,31,14136},{5,31,14136},{5,31,14136},{4,31,9252},{3,31,11237},{2,31,3590},{2,31,3590},{0,26,85},{0,29,13491},{0,23,5925},{8,31,1565},{8,31,1565},{8,31,1565},{8,31,277},{11,18,4418},{5,31,1300},{5,31,1300},{0,26,85},{10,21,4418},{0,26,85},{15,25,617},{13,31,365},{12,31,16},{9,31,9},{15,25,617},{13,30,613},{9,31,9},{0,29,617},{13,30,613},{0,29,617},{4,0,7956},
{4,0,7956},{4,0,7956},{4,0,7956},{1,31,697},{1,31,697},{1,31,697},{0,25,4},{0,18,4181},{0,18,4181},{5,31,65535},{3,31,60054},{2,31,28190},{2,31,18895},{5,31,65535},{2,31,44298},{1,31,6090},{0,30,1081},{0,31,65535},{0,27,39942},{10,31,4850},{10,31,3107},{9,31,1709},{8,31,325},{13,22,8069},{7,31,4574},{6,31,1553},{0,29,602},{12,25,8069},{0,29,602},{6,31,16067},{6,31,16067},{6,31,16067},
{5,31,10872},{4,31,12824},{2,31,4662},{2,31,4662},{0,27,52},{0,30,14340},{0,25,6449},{9,31,1709},{9,31,1709},{9,31,1709},{8,31,325},{13,14,4418},{6,31,1553},{6,31,1553},{0,27,52},{8,25,4418},{0,27,52},{15,27,365},{13,31,205},{12,31,16},{11,31,4},{15,27,365},{13,31,365},{11,31,4},{0,29,377},{13,31,365},{0,29,377},{4,0,8980},{4,0,8980},{4,0,8980},{4,0,8980},{1,31,1097},
{1,31,1097},{1,31,1097},{0,26,1},{0,20,4682},{0,20,4682},{6,31,65535},{4,31,58981},{2,31,29926},{2,31,19751},{5,31,65535},{3,31,43402},{1,31,6910},{0,30,765},{0,31,65535},{0,28,34909},{11,31,4502},{10,31,3011},{9,31,2045},{9,31,557},{15,17,7322},{8,31,4242},{7,31,1781},{0,29,314},{12,26,7322},{0,29,314},{6,31,16739},{6,31,16739},{6,31,16739},{5,31,11492},{4,31,13636},{3,31,5586},{3,31,5586},
{0,28,65},{0,31,14139},{0,26,6041},{9,31,2045},{9,31,2045},{9,31,2045},{9,31,557},{14,13,4418},{7,31,1781},{7,31,1781},{0,28,29},{11,23,4418},{0,28,29},{15,28,181},{14,31,117},{13,31,4},{12,31,0},{15,28,181},{15,29,181},{12,31,0},{0,30,185},{15,29,181},{0,30,185},{4,0,9376},{4,0,9376},{4,0,9376},{4,0,9376},{2,31,1405},{2,31,1405},{2,31,1405},{0,28,40},{0,21,4520},
{0,21,4520},{6,31,65535},{4,31,57316},{3,31,30345},{3,31,20808},{6,31,65535},{3,31,41449},{2,31,8321},{1,31,301},{0,31,65535},{0,28,28330},{11,31,4232},{11,31,3093},{10,31,2248},{9,31,809},{15,19,6584},{9,31,3992},{7,31,2105},{0,30,77},{13,26,6584},{0,30,77},{7,31,17380},{7,31,17380},{7,31,17380},{6,31,12161},{5,31,14315},{3,31,6405},{3,31,6405},{1,29,53},{0,31,13860},{0,28,5286},{10,31,2248},
{10,31,2248},{10,31,2248},{9,31,809},{14,16,4418},{7,31,2105},{7,31,2105},{0,30,13},{15,20,4418},{0,30,13},{15,29,52},{14,31,36},{14,31,0},{13,31,9},{15,29,52},{15,30,50},{13,31,9},{0,30,68},{15,30,50},{0,30,68},{5,0,9250},{5,0,9250},{5,0,9250},{5,0,9250},{2,31,1549},{2,31,1549},{2,31,1549},{1,28,2},{0,23,4114},{0,23,4114},{6,31,65535},{5,31,55908},{4,31,31583},
{3,31,21256},{6,31,65535},{4,31,39740},{2,31,9073},{1,31,285},{0,31,65535},{0,29,23356},{12,31,4011},{11,31,3125},{11,31,2500},{10,31,1037},{13,27,6019},{10,31,3738},{8,31,2340},{0,31,4},{13,27,6019},{0,31,4},{7,31,17796},{7,31,17796},{7,31,17796},{6,31,12625},{6,31,14996},{4,31,7139},{4,31,7139},{1,30,86},{0,31,14020},{0,29,4652},{11,31,2500},{11,31,2500},{11,31,2500},{10,31,1037},{13,22,4418},
{8,31,2340},{8,31,2340},{0,31,4},{12,25,4418},{0,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{0,31,4},{15,31,4},{0,31,4},{6,0,9376},{6,0,9376},{6,0,9376},{6,0,9376},{3,31,1765},{3,31,1765},{3,31,1765},{1,30,50},{0,25,3877},{0,25,3877},{7,31,65535},{5,31,53236},{4,31,30487},{4,31,21367},{6,31,65535},{4,31,37332},{3,31,9385},
{2,31,36},{0,31,65535},{0,29,18680},{12,31,3443},{12,31,2843},{11,31,2248},{10,31,997},{14,25,5163},{10,31,3218},{9,31,2120},{1,31,4},{12,29,5163},{1,31,4},{7,31,17504},{7,31,17504},{7,31,17504},{7,31,12569},{6,31,14328},{4,31,7227},{4,31,7227},{2,31,20},{0,31,13376},{0,29,3944},{11,31,2248},{11,31,2248},{11,31,2248},{10,31,997},{15,17,3872},{9,31,2120},{9,31,2120},{1,31,4},{12,26,3872},
{1,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{6,0,9248},{6,0,9248},{6,0,9248},{6,0,9248},{3,31,2005},{3,31,2005},{3,31,2005},{2,30,5},{0,27,3545},{0,27,3545},{7,31,65535},{6,31,50785},{4,31,29687},{4,31,20567},{7,31,65535},{4,31,35412},{3,31,8985},{2,31,196},{1,31,65535},{0,29,14712},{12,31,2883},
{12,31,2283},{12,31,1922},{11,31,821},{13,29,4267},{11,31,2694},{10,31,1745},{3,31,4},{14,27,4267},{3,31,4},{8,31,16610},{8,31,16610},{8,31,16610},{7,31,12185},{6,31,13528},{5,31,6915},{5,31,6915},{2,31,52},{1,31,12556},{0,30,3314},{12,31,1922},{12,31,1922},{12,31,1922},{11,31,821},{12,28,3200},{10,31,1745},{10,31,1745},{3,31,4},{11,28,3200},{3,31,4},{15,31,0},{15,31,0},{15,31,0},
{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{6,0,9376},{6,0,9376},{6,0,9376},{6,0,9376},{4,31,2250},{4,31,2250},{4,31,2250},{2,31,52},{0,28,3170},{0,28,3170},{7,31,65535},{6,31,47239},{5,31,28065},{5,31,20409},{7,31,65535},{5,31,32574},{4,31,8965},{3,31,54},{1,31,65206},{0,30,10964},{13,31,2326},{12,31,1806},{12,31,1445},{11,31,650},{13,30,3361},
{11,31,2091},{10,31,1322},{4,31,0},{12,30,3361},{4,31,0},{8,31,15584},{8,31,15584},{8,31,15584},{7,31,12059},{7,31,12522},{6,31,6811},{6,31,6811},{3,31,50},{1,31,11710},{0,31,2834},{12,31,1445},{12,31,1445},{12,31,1445},{11,31,650},{14,23,2521},{10,31,1322},{10,31,1322},{4,31,0},{15,24,2521},{4,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},
{0,31,0},{15,31,0},{0,31,0},{7,0,9250},{7,0,9250},{7,0,9250},{7,0,9250},{5,31,2600},{5,31,2600},{5,31,2600},{3,31,50},{0,31,2834},{0,31,2834},{8,31,65535},{6,31,44903},{5,31,27361},{5,31,19705},{7,31,64494},{5,31,30846},{4,31,8677},{3,31,470},{2,31,60777},{0,30,8308},{13,31,1782},{13,31,1510},{12,31,1157},{12,31,557},{13,31,2646},{11,31,1691},{11,31,1066},{5,31,4},{15,27,2646},
{5,31,4},{8,31,14944},{8,31,14944},{8,31,14944},{8,31,11696},{7,31,11850},{6,31,6555},{6,31,6555},{4,31,164},{2,31,11097},{0,31,2610},{12,31,1157},{12,31,1157},{12,31,1157},{12,31,557},{15,21,1985},{11,31,1066},{11,31,1066},{5,31,4},{15,25,1985},{5,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{7,0,9410},
{7,0,9410},{7,0,9410},{7,0,9410},{5,31,2792},{5,31,2792},{5,31,2792},{4,31,164},{0,31,2610},{0,31,2610},{8,31,63584},{7,31,42019},{6,31,25930},{5,31,19769},{8,31,60273},{6,31,28860},{5,31,8761},{4,31,276},{3,31,56253},{0,30,6420},{13,31,1366},{13,31,1094},{13,31,925},{12,31,397},{15,25,2018},{12,31,1298},{11,31,794},{7,31,4},{13,30,2017},{7,31,4},{9,31,14244},{9,31,14244},{9,31,14244},
{8,31,11312},{8,31,11249},{7,31,6499},{7,31,6499},{4,31,260},{3,31,10457},{0,31,2642},{13,31,925},{13,31,925},{13,31,925},{12,31,397},{15,22,1513},{11,31,794},{11,31,794},{7,31,4},{14,27,1513},{7,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{8,0,9376},{8,0,9376},{8,0,9376},{8,0,9376},{6,31,3074},
{6,31,3074},{6,31,3074},{4,31,260},{0,31,2642},{0,31,2642},{8,31,58848},{7,31,39683},{6,31,25130},{6,31,19007},{8,31,54849},{6,31,27132},{5,31,8569},{4,31,756},{4,31,51302},{0,31,5046},{13,31,1078},{13,31,806},{13,31,637},{12,31,365},{15,26,1473},{12,31,978},{12,31,617},{8,31,9},{14,29,1473},{8,31,9},{9,31,13604},{9,31,13604},{9,31,13604},{8,31,11184},{8,31,10433},{7,31,6339},{7,31,6339},
{5,31,424},{4,31,9713},{0,31,2930},{13,31,637},{13,31,637},{13,31,637},{12,31,365},{14,27,1105},{12,31,617},{12,31,617},{8,31,9},{13,29,1105},{8,31,9},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{8,0,9248},{8,0,9248},{8,0,9248},{8,0,9248},{6,31,3330},{6,31,3330},{6,31,3330},{5,31,424},{0,31,2930},
{0,31,2930},
/**** ended inlining basisu_transcoder_tables_pvrtc2_45.inc ****/
};
#if 0
static const etc1s_to_atc_solution g_etc1s_to_pvrtc2_alpha_33[32 * 8 * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS * NUM_ETC1S_TO_ATC_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_pvrtc2_alpha_33.inc ****/
{0,0,20},{0,0,20},{0,0,97},{0,0,145},{0,0,56},{0,0,104},{0,0,181},{0,0,406},{0,0,204},{0,0,442},{0,0,20},{0,0,20},{0,0,97},{0,0,145},{0,0,56},{0,0,104},{0,0,181},{0,0,406},{0,0,168},{0,0,406},{0,0,16},{0,0,16},{0,0,16},{0,0,64},{0,0,52},{0,0,100},{0,0,100},{0,0,325},{0,0,200},{0,0,361},{0,0,16},
{0,0,16},{0,0,16},{0,0,64},{0,0,52},{0,0,100},{0,0,100},{0,0,325},{0,0,164},{0,0,325},{0,0,20},{0,0,20},{0,0,97},{0,0,145},{0,0,20},{0,0,68},{0,0,145},{0,0,306},{0,0,68},{0,0,306},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,1,126},{0,0,88},{0,0,53},
{0,0,37},{0,0,116},{0,0,36},{0,0,1},{0,0,66},{0,0,88},{0,0,102},{0,1,126},{0,0,88},{0,0,53},{0,0,37},{0,0,116},{0,0,36},{0,0,1},{0,0,66},{0,0,52},{0,0,66},{0,0,52},{0,0,52},{0,0,52},{0,0,36},{0,0,16},{0,0,0},{0,0,0},{0,0,65},{0,0,52},{0,0,101},{0,0,52},{0,0,52},{0,0,52},{0,0,36},{0,0,16},
{0,0,0},{0,0,0},{0,0,65},{0,0,16},{0,0,65},{0,1,90},{0,0,52},{0,0,17},{0,0,1},{0,1,90},{0,0,36},{0,0,1},{0,0,50},{0,0,36},{0,0,50},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,0,0},{0,0,0},{0,0,0},{0,0,16},{0,0,52},{0,0,52},{0,1,286},{0,1,310},{0,0,453},{0,0,373},{0,1,115},{0,1,307},{0,0,241},
{0,0,130},{0,0,280},{0,0,70},{0,1,222},{0,1,246},{0,0,389},{0,0,309},{0,1,51},{1,0,195},{0,0,177},{0,0,66},{1,0,107},{0,0,66},{0,1,261},{0,1,261},{0,1,261},{0,0,324},{0,1,90},{0,0,192},{0,0,192},{0,0,81},{0,0,84},{0,0,21},{0,1,197},{0,1,197},{0,1,197},{0,0,260},{0,1,26},{0,0,128},{0,0,128},{0,0,17},{0,0,80},
{0,0,17},{0,1,26},{0,1,50},{1,0,130},{1,0,74},{0,1,26},{1,0,26},{1,0,74},{0,0,50},{1,0,26},{0,0,50},{0,0,260},{0,0,260},{0,0,260},{0,0,260},{0,1,89},{0,1,89},{0,1,89},{0,0,80},{0,0,20},{0,0,20},{1,0,494},{1,0,550},{1,0,694},{1,0,702},{0,2,363},{0,1,291},{1,0,583},{1,0,631},{0,1,116},{1,0,428},{1,0,170},
{1,0,226},{1,0,370},{1,0,378},{1,0,51},{0,1,35},{1,0,259},{1,0,307},{1,0,91},{1,0,307},{1,0,469},{1,0,469},{1,0,469},{1,0,477},{0,1,314},{0,1,290},{0,1,290},{1,0,406},{0,1,115},{1,0,203},{1,0,145},{1,0,145},{1,0,145},{1,0,153},{1,0,26},{1,0,34},{1,0,34},{1,0,82},{1,0,10},{1,0,82},{1,0,26},{0,1,50},{1,0,226},
{1,0,234},{1,0,26},{0,1,26},{1,0,234},{0,0,306},{0,1,26},{0,0,306},{1,0,468},{1,0,468},{1,0,468},{1,0,468},{0,1,265},{0,1,265},{0,1,265},{1,0,325},{0,1,90},{0,1,90},{1,1,116},{1,1,124},{1,1,215},{1,1,271},{1,1,188},{1,1,252},{1,1,343},{1,1,606},{0,1,152},{0,1,392},{1,1,35},{1,1,43},{1,1,134},{1,1,190},{1,1,107},
{1,1,171},{0,1,260},{0,1,356},{2,0,51},{0,1,356},{1,1,115},{1,1,115},{1,1,115},{1,1,171},{1,0,161},{1,0,241},{1,0,241},{1,0,469},{0,1,52},{0,1,292},{1,1,34},{1,1,34},{1,1,34},{1,1,90},{0,2,16},{1,0,160},{1,0,160},{0,1,256},{0,1,16},{0,1,256},{1,1,26},{1,1,34},{1,1,125},{0,1,116},{1,1,26},{2,0,26},{0,1,116},
{0,1,356},{2,0,26},{0,1,356},{1,0,90},{1,0,90},{1,0,90},{1,0,90},{1,0,97},{1,0,97},{1,0,97},{1,0,145},{0,1,36},{0,1,36},{1,1,116},{1,1,60},{1,1,39},{1,1,31},{1,1,92},{1,1,28},{1,1,7},{1,1,94},{1,1,100},{1,1,142},{1,1,115},{1,1,59},{1,1,38},{1,1,30},{0,3,51},{1,1,27},{1,1,6},{1,1,93},{1,1,51},
{1,1,93},{1,1,35},{1,1,35},{1,1,35},{1,1,27},{1,1,11},{1,1,3},{1,1,3},{1,1,90},{1,1,75},{1,1,138},{1,1,34},{1,1,34},{1,1,34},{1,1,26},{1,1,10},{1,1,2},{1,1,2},{1,1,89},{1,1,26},{1,1,89},{2,0,26},{1,1,34},{1,1,13},{1,1,5},{2,0,26},{3,0,26},{1,1,5},{0,1,68},{3,0,26},{0,1,68},{1,0,26},
{1,0,26},{1,0,26},{1,0,26},{1,1,2},{1,1,2},{1,1,2},{1,1,26},{1,1,74},{1,1,74},{1,2,238},{1,2,286},{1,1,375},{1,1,303},{1,2,105},{1,1,316},{1,1,183},{1,1,94},{0,2,156},{1,1,46},{1,2,189},{1,2,237},{1,1,326},{1,1,254},{1,2,56},{2,1,232},{1,1,134},{1,1,45},{0,2,56},{1,1,45},{1,2,222},{1,2,222},{1,2,222},
{1,1,267},{1,2,89},{1,1,147},{1,1,147},{1,1,58},{1,1,59},{1,1,10},{1,2,173},{1,2,173},{1,2,173},{1,1,218},{2,0,10},{1,1,98},{1,1,98},{1,1,9},{3,0,10},{1,1,9},{1,2,20},{1,2,68},{2,1,136},{2,1,72},{1,2,20},{0,2,20},{2,1,72},{0,1,36},{0,2,20},{0,1,36},{1,0,218},{1,0,218},{1,0,218},{1,0,218},{1,2,85},
{1,2,85},{1,2,85},{1,1,58},{1,1,10},{1,1,10},{2,1,550},{2,1,598},{2,1,730},{2,1,730},{1,3,361},{1,2,265},{2,1,597},{1,1,606},{1,2,152},{2,1,408},{2,1,189},{2,1,237},{2,1,369},{2,1,369},{2,1,56},{1,2,40},{2,1,236},{2,1,264},{4,0,56},{2,1,264},{2,1,534},{2,1,534},{2,1,534},{2,1,534},{1,2,265},{1,2,265},{1,2,265},
{1,1,410},{2,1,152},{2,1,212},{2,1,173},{2,1,173},{2,1,173},{2,1,173},{0,4,8},{2,1,40},{2,1,40},{2,1,68},{2,1,8},{2,1,68},{2,1,20},{1,2,36},{2,1,200},{2,1,200},{2,1,20},{4,0,20},{2,1,200},{0,1,260},{4,0,20},{0,1,260},{2,0,530},{2,0,530},{2,0,530},{2,0,530},{1,2,229},{1,2,229},{1,2,229},{1,2,325},{1,2,116},
{1,2,116},{2,2,152},{2,2,168},{2,2,273},{2,2,337},{2,2,236},{2,2,316},{2,2,421},{2,2,706},{1,2,116},{1,2,436},{2,2,52},{2,2,68},{2,2,173},{2,2,237},{3,0,56},{1,2,211},{1,2,251},{1,2,411},{3,1,56},{1,2,411},{2,2,152},{2,2,152},{2,2,152},{2,2,216},{2,1,158},{2,1,230},{2,1,230},{2,1,438},{1,2,35},{1,2,315},{2,2,52},
{2,2,52},{2,2,52},{2,2,116},{1,3,10},{2,1,130},{2,1,130},{1,2,290},{1,2,10},{1,2,290},{3,0,20},{2,2,52},{2,2,157},{1,2,130},{3,0,20},{3,1,20},{1,2,130},{0,2,410},{3,1,20},{0,2,410},{2,0,116},{2,0,116},{2,0,116},{2,0,116},{2,1,109},{2,1,109},{2,1,109},{2,1,149},{1,2,26},{1,2,26},{2,2,88},{2,2,40},{2,2,33},
{2,2,33},{2,2,76},{2,2,28},{2,2,21},{2,2,130},{2,2,120},{2,2,190},{2,2,84},{2,2,36},{2,2,29},{2,2,29},{1,4,56},{2,2,24},{2,2,17},{2,2,126},{2,2,56},{2,2,126},{2,2,24},{2,2,24},{2,2,24},{2,2,24},{2,2,12},{2,2,12},{2,2,12},{2,2,121},{2,2,104},{2,2,181},{2,2,20},{2,2,20},{2,2,20},{2,2,20},{2,2,8},
{2,2,8},{2,2,8},{2,2,117},{5,0,8},{2,2,117},{1,4,20},{2,2,20},{2,2,13},{2,2,13},{1,4,20},{2,2,20},{2,2,13},{0,2,90},{2,2,20},{0,2,90},{2,0,20},{2,0,20},{2,0,20},{2,0,20},{2,2,8},{2,2,8},{2,2,8},{2,2,40},{2,2,100},{2,2,100},{2,3,198},{2,3,270},{2,2,305},{2,2,241},{2,3,103},{2,2,252},{2,2,133},
{2,2,66},{1,3,148},{2,2,30},{2,3,162},{2,3,234},{2,2,269},{2,2,205},{2,3,67},{2,2,216},{2,2,97},{2,2,30},{6,0,67},{2,2,30},{2,3,189},{2,3,189},{2,3,189},{2,2,216},{2,3,94},{2,2,108},{2,2,108},{2,2,41},{2,2,40},{2,2,5},{2,3,153},{2,3,153},{2,3,153},{2,2,180},{3,1,8},{2,2,72},{2,2,72},{2,2,5},{4,1,8},
{2,2,5},{2,3,18},{2,3,90},{2,2,125},{2,2,61},{2,3,18},{6,0,18},{2,2,61},{0,2,26},{6,0,18},{0,2,26},{2,0,180},{2,0,180},{2,0,180},{2,0,180},{2,2,72},{2,2,72},{2,2,72},{2,2,40},{2,2,4},{2,2,4},{3,2,614},{2,3,622},{3,2,774},{3,2,766},{2,3,343},{2,3,247},{3,2,619},{2,2,514},{2,3,196},{2,2,382},{3,2,214},
{3,2,254},{3,2,374},{3,2,366},{4,0,59},{2,3,51},{3,2,219},{3,2,227},{3,2,59},{3,2,227},{3,2,605},{3,2,605},{3,2,605},{3,2,597},{2,3,222},{2,3,246},{2,3,246},{2,2,345},{3,2,179},{2,2,213},{3,2,205},{3,2,205},{3,2,205},{3,2,197},{4,0,10},{3,2,50},{3,2,50},{3,2,58},{3,2,10},{3,2,58},{3,2,18},{2,3,26},{3,2,178},
{3,2,170},{3,2,18},{5,1,18},{3,2,170},{0,2,218},{5,1,18},{0,2,218},{2,0,596},{2,0,596},{2,0,596},{2,0,596},{2,3,197},{2,3,197},{2,3,197},{2,2,296},{2,3,146},{2,3,146},{3,3,196},{3,3,220},{3,3,339},{3,3,411},{3,3,292},{3,3,388},{3,3,507},{3,3,814},{2,3,88},{2,3,488},{3,3,75},{3,3,99},{3,3,218},{3,3,290},{4,1,67},
{2,3,168},{2,3,248},{2,3,472},{4,2,67},{2,3,472},{3,2,182},{3,2,182},{3,2,182},{3,2,246},{3,2,161},{3,2,225},{3,2,225},{3,2,413},{2,3,24},{3,2,308},{3,2,61},{3,2,61},{3,2,61},{3,2,125},{2,4,8},{3,2,104},{3,2,104},{3,2,292},{7,0,8},{3,2,292},{4,1,18},{3,3,74},{3,3,193},{2,3,148},{4,1,18},{4,2,18},{2,3,148},
{0,3,468},{4,2,18},{0,3,468},{3,0,146},{3,0,146},{3,0,146},{3,0,146},{3,2,125},{3,2,125},{3,2,125},{3,2,157},{2,3,20},{2,3,20},{3,3,68},{3,3,28},{3,3,35},{3,3,43},{3,3,68},{3,3,36},{3,3,43},{3,3,174},{3,3,148},{3,3,246},{3,3,59},{3,3,19},{3,3,26},{3,3,34},{3,3,59},{3,3,27},{3,3,34},{2,3,152},{6,1,59},
{2,3,152},{3,3,19},{3,3,19},{3,3,19},{3,3,27},{3,3,19},{3,3,27},{3,3,27},{3,3,158},{3,3,139},{3,3,230},{3,3,10},{3,3,10},{3,3,10},{3,3,18},{3,3,10},{3,3,18},{3,3,18},{2,3,136},{6,1,10},{2,3,136},{5,0,18},{3,3,10},{3,3,17},{3,3,25},{5,0,18},{3,3,18},{3,3,25},{0,3,116},{3,3,18},{0,3,116},{3,0,18},
{3,0,18},{3,0,18},{3,0,18},{3,3,18},{3,3,18},{3,3,18},{3,3,58},{3,3,130},{3,3,130},{3,4,166},{3,4,262},{3,3,243},{3,3,187},{3,4,109},{3,3,196},{3,3,91},{3,3,46},{3,3,148},{3,3,22},{3,4,141},{3,4,237},{3,3,218},{3,3,162},{4,2,59},{3,3,171},{3,3,66},{3,3,21},{5,2,59},{3,3,21},{3,4,162},{3,4,162},{3,4,162},
{3,3,171},{3,4,105},{3,3,75},{3,3,75},{3,3,30},{3,3,27},{3,3,6},{3,4,137},{3,4,137},{3,4,137},{3,3,146},{4,2,10},{3,3,50},{3,3,50},{3,3,5},{5,2,10},{3,3,5},{3,4,20},{3,4,116},{3,3,97},{3,3,41},{3,4,20},{7,1,20},{3,3,41},{0,3,20},{7,1,20},{0,3,20},{3,0,146},{3,0,146},{3,0,146},{3,0,146},{3,3,50},
{3,3,50},{3,3,50},{3,3,26},{3,3,2},{3,3,2},{3,5,598},{3,4,550},{4,3,826},{4,3,810},{3,4,285},{3,4,237},{4,3,649},{3,3,430},{4,3,248},{3,3,310},{4,3,245},{4,3,277},{4,3,385},{4,3,369},{5,1,52},{3,4,68},{4,3,208},{4,3,196},{4,3,52},{4,3,196},{3,4,546},{3,4,546},{3,4,546},{3,4,594},{3,4,185},{3,4,233},{3,4,233},
{3,3,286},{4,3,212},{3,3,166},{4,3,241},{4,3,241},{4,3,241},{4,3,225},{5,1,16},{4,3,64},{4,3,64},{4,3,52},{7,1,16},{4,3,52},{4,3,20},{3,4,20},{4,3,160},{4,3,144},{4,3,20},{6,2,20},{4,3,144},{0,3,180},{6,2,20},{0,3,180},{3,0,530},{3,0,530},{3,0,530},{3,0,530},{3,4,169},{3,4,169},{3,4,169},{3,3,250},{3,3,130},
{3,3,130},{4,4,248},{4,4,280},{4,4,413},{4,4,493},{4,3,291},{4,3,451},{4,4,601},{4,3,835},{3,4,68},{3,4,548},{4,4,104},{4,4,136},{4,4,269},{4,4,349},{6,0,59},{3,4,131},{3,4,251},{3,4,539},{3,4,59},{3,4,539},{4,3,205},{4,3,205},{4,3,205},{4,3,261},{4,3,170},{4,3,226},{4,3,226},{4,3,394},{3,4,19},{4,3,275},{4,3,61},
{4,3,61},{4,3,61},{4,3,117},{6,0,10},{4,3,82},{4,3,82},{4,3,250},{3,4,10},{4,3,250},{5,2,20},{4,4,100},{4,4,233},{3,4,170},{5,2,20},{5,3,20},{3,4,170},{0,4,530},{5,3,20},{0,4,530},{4,0,180},{4,0,180},{4,0,180},{4,0,180},{4,3,145},{4,3,145},{4,3,145},{4,3,169},{3,4,18},{3,4,18},{4,4,56},{4,4,24},{4,4,45},
{4,4,61},{4,4,68},{4,4,52},{4,4,73},{4,4,226},{4,4,184},{3,4,292},{4,4,40},{4,4,8},{4,4,29},{4,4,45},{4,4,52},{4,4,36},{4,4,57},{3,4,171},{7,2,52},{3,4,171},{4,4,20},{4,4,20},{4,4,20},{4,4,36},{4,4,32},{4,4,48},{4,4,48},{4,4,201},{4,4,180},{3,4,267},{4,4,4},{4,4,4},{4,4,4},{4,4,20},{5,2,16},
{4,4,32},{4,4,32},{3,4,146},{7,2,16},{3,4,146},{6,1,20},{4,4,4},{4,4,25},{4,4,41},{6,1,20},{4,4,20},{4,4,41},{0,4,146},{4,4,20},{0,4,146},{4,0,20},{4,0,20},{4,0,20},{4,0,20},{4,4,32},{4,4,32},{4,4,32},{4,4,80},{3,4,146},{3,4,146},{4,5,142},{4,5,262},{4,4,189},{4,4,141},{4,5,123},{4,4,148},{4,4,57},
{4,4,34},{4,4,120},{4,4,22},{4,5,126},{4,5,246},{4,4,173},{4,4,125},{5,3,52},{4,4,132},{4,4,41},{4,4,18},{6,3,52},{4,4,18},{4,5,141},{4,5,141},{4,5,141},{4,4,132},{4,4,96},{4,4,48},{4,4,48},{4,4,25},{4,4,20},{4,4,13},{4,5,125},{4,5,125},{4,5,125},{4,4,116},{6,1,16},{4,4,32},{4,4,32},{4,4,9},{6,3,16},
{4,4,9},{7,0,26},{4,5,146},{4,4,73},{4,4,25},{7,0,26},{3,5,26},{4,4,25},{0,4,18},{3,5,26},{0,4,18},{4,0,116},{4,0,116},{4,0,116},{4,0,116},{4,4,32},{4,4,32},{4,4,32},{4,4,16},{4,4,4},{4,4,4},{4,5,558},{4,5,486},{4,4,845},{4,4,733},{4,5,235},{4,5,235},{4,4,553},{4,4,354},{5,4,276},{4,4,246},{5,4,282},
{5,4,306},{5,4,402},{5,4,378},{6,2,51},{4,5,91},{5,4,203},{5,4,171},{5,4,51},{5,4,171},{4,5,477},{4,5,477},{4,5,477},{4,5,549},{4,5,154},{4,5,226},{4,5,226},{4,4,233},{3,5,235},{4,4,125},{5,4,281},{5,4,281},{5,4,281},{5,4,257},{7,0,10},{5,4,82},{5,4,82},{5,4,50},{3,5,10},{5,4,50},{6,2,26},{4,5,18},{5,4,146},
{5,4,122},{6,2,26},{7,3,26},{5,4,122},{0,4,146},{7,3,26},{0,4,146},{4,0,468},{4,0,468},{4,0,468},{4,0,468},{4,5,145},{4,5,145},{4,5,145},{4,4,208},{4,4,100},{4,4,100},{5,5,308},{5,5,348},{5,5,495},{5,5,583},{5,4,285},{5,4,429},{5,4,633},{5,4,781},{4,5,56},{4,5,616},{5,5,139},{5,5,179},{5,5,326},{5,5,414},{7,1,52},
{4,5,100},{4,5,260},{5,4,612},{4,5,52},{5,4,612},{5,4,234},{5,4,234},{5,4,234},{5,4,282},{5,4,185},{5,4,233},{5,4,233},{5,4,381},{4,5,20},{5,4,248},{5,4,65},{5,4,65},{5,4,65},{5,4,113},{7,1,16},{5,4,64},{5,4,64},{5,4,212},{7,3,16},{5,4,212},{6,3,26},{5,5,130},{5,5,277},{4,5,196},{6,3,26},{6,4,26},{4,5,196},
{0,4,596},{6,4,26},{0,4,596},{5,0,218},{5,0,218},{5,0,218},{5,0,218},{5,4,169},{5,4,169},{5,4,169},{5,4,185},{4,5,20},{4,5,20},{5,5,52},{5,5,28},{5,5,63},{5,5,87},{5,5,76},{5,5,76},{5,5,111},{5,5,286},{5,5,228},{4,5,296},{5,5,27},{5,5,3},{5,5,38},{5,5,62},{5,5,51},{5,5,51},{5,5,86},{4,5,196},{3,6,51},
{4,5,196},{5,5,27},{5,5,27},{5,5,27},{5,5,51},{5,5,51},{5,5,75},{5,5,75},{5,5,250},{4,5,180},{4,5,260},{5,5,2},{5,5,2},{5,5,2},{5,5,26},{6,3,10},{5,5,50},{5,5,50},{4,5,160},{6,4,10},{4,5,160},{7,2,26},{5,5,2},{5,5,37},{5,5,61},{7,2,26},{5,5,26},{5,5,61},{0,5,180},{5,5,26},{0,5,180},{5,0,26},
{5,0,26},{5,0,26},{5,0,26},{5,5,50},{5,5,50},{5,5,50},{5,5,106},{4,5,116},{4,5,116},{5,6,126},{5,5,220},{5,5,143},{5,5,103},{5,6,145},{5,5,108},{5,5,31},{5,5,30},{5,5,100},{5,5,30},{5,6,117},{5,5,211},{5,5,134},{5,5,94},{6,4,51},{5,5,99},{5,5,22},{5,5,21},{7,4,51},{5,5,21},{5,6,126},{5,6,126},{5,6,126},
{5,5,99},{5,5,67},{5,5,27},{5,5,27},{5,5,26},{5,5,19},{5,5,26},{5,6,117},{5,6,117},{5,6,117},{5,5,90},{7,2,10},{5,5,18},{5,5,18},{5,5,17},{5,5,10},{5,5,17},{6,4,26},{5,5,130},{5,5,53},{5,5,13},{6,4,26},{7,4,26},{5,5,13},{0,5,20},{7,4,26},{0,5,20},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{5,5,18},
{5,5,18},{5,5,18},{5,5,10},{5,5,10},{5,5,10},{5,6,478},{5,6,430},{5,5,735},{5,5,631},{5,6,193},{5,6,241},{5,5,463},{5,5,286},{4,6,268},{5,5,190},{6,5,325},{5,6,309},{6,5,425},{6,5,393},{7,3,56},{6,5,120},{6,5,204},{6,5,152},{6,5,56},{6,5,152},{5,6,414},{5,6,414},{5,6,414},{5,6,510},{5,6,129},{5,6,225},{5,6,225},
{5,5,186},{5,5,195},{5,5,90},{5,6,293},{5,6,293},{5,6,293},{6,5,293},{5,6,8},{6,5,104},{6,5,104},{6,5,52},{4,6,8},{6,5,52},{7,3,20},{5,6,20},{6,5,136},{6,5,104},{7,3,20},{6,5,20},{6,5,104},{0,5,116},{6,5,20},{0,5,116},{5,0,410},{5,0,410},{5,0,410},{5,0,410},{5,6,125},{5,6,125},{5,6,125},{5,5,170},{5,5,74},
{5,5,74},{6,5,350},{6,6,424},{6,6,585},{6,5,670},{6,5,287},{6,5,415},{6,5,607},{6,5,735},{5,6,52},{6,5,588},{6,5,154},{6,6,228},{6,6,389},{6,5,474},{5,7,51},{5,6,75},{5,6,275},{6,5,539},{5,6,51},{6,5,539},{6,5,269},{6,5,269},{6,5,269},{6,5,309},{6,5,206},{6,5,246},{6,5,246},{6,5,374},{5,6,27},{6,5,227},{6,5,73},
{6,5,73},{6,5,73},{6,5,113},{6,5,10},{6,5,50},{6,5,50},{6,5,178},{3,7,10},{6,5,178},{5,7,26},{5,6,146},{6,6,325},{5,6,226},{5,7,26},{5,6,26},{5,6,226},{0,5,530},{5,6,26},{0,5,530},{6,0,260},{6,0,260},{6,0,260},{6,0,260},{6,5,197},{6,5,197},{6,5,197},{6,5,205},{5,6,26},{5,6,26},{6,6,56},{6,6,40},{6,6,89},
{6,6,121},{6,6,92},{6,6,108},{6,6,157},{6,6,354},{6,6,280},{5,6,308},{6,6,20},{6,6,4},{6,6,53},{6,6,85},{6,6,56},{6,6,72},{6,6,121},{5,6,227},{4,7,56},{5,6,227},{6,6,40},{6,6,40},{6,6,40},{6,6,72},{6,6,76},{6,6,108},{6,6,108},{6,6,305},{5,6,139},{5,6,259},{6,6,4},{6,6,4},{6,6,4},{6,6,36},{7,4,8},
{6,6,72},{6,6,72},{5,6,178},{7,5,8},{5,6,178},{6,6,20},{6,6,4},{6,6,53},{6,6,85},{6,6,20},{4,7,20},{6,6,85},{0,6,218},{4,7,20},{0,6,218},{6,0,36},{6,0,36},{6,0,36},{6,0,36},{6,6,72},{6,6,72},{6,6,72},{6,6,136},{5,6,90},{5,6,90},{6,7,118},{6,6,168},{6,6,105},{6,6,73},{6,7,175},{6,6,76},{6,6,13},
{6,6,34},{6,6,88},{6,6,46},{6,7,114},{6,6,164},{6,6,101},{6,6,69},{7,5,56},{6,6,72},{6,6,9},{6,6,30},{6,6,72},{6,6,30},{6,6,104},{6,6,104},{6,6,104},{6,6,72},{6,6,44},{6,6,12},{6,6,12},{6,6,33},{6,6,24},{6,6,45},{6,6,100},{6,6,100},{6,6,100},{6,6,68},{7,5,40},{6,6,8},{6,6,8},{6,6,29},{6,6,8},
{6,6,29},{7,5,20},{6,6,100},{6,6,37},{6,6,5},{7,5,20},{5,7,50},{6,6,5},{0,6,26},{5,7,50},{0,6,26},{6,0,68},{6,0,68},{6,0,68},{6,0,68},{6,6,8},{6,6,8},{6,6,8},{6,6,8},{6,6,20},{6,6,20},{6,7,406},{6,7,382},{6,6,633},{6,6,537},{6,7,159},{6,7,255},{6,6,381},{6,6,226},{5,7,228},{6,6,142},{6,7,306},
{6,7,282},{7,6,454},{7,6,414},{6,7,59},{7,6,139},{7,6,211},{6,6,126},{5,7,59},{6,6,126},{6,7,357},{6,7,357},{6,7,357},{6,6,456},{6,7,110},{6,7,230},{6,7,230},{6,6,145},{6,6,152},{6,6,61},{6,7,257},{6,7,257},{6,7,257},{7,6,333},{6,7,10},{7,6,130},{7,6,130},{6,6,45},{5,7,10},{6,6,45},{7,6,50},{6,7,26},{7,6,130},
{7,6,90},{7,6,50},{7,6,18},{7,6,90},{0,6,90},{7,6,18},{0,6,90},{6,0,356},{6,0,356},{6,0,356},{6,0,356},{6,7,109},{6,7,109},{6,7,109},{6,6,136},{6,6,52},{6,6,52},{7,6,374},{7,6,454},{7,6,634},{7,6,666},{7,6,297},{7,6,409},{7,6,589},{7,6,697},{6,7,56},{7,6,536},{7,6,149},{7,6,229},{7,6,409},{7,6,441},{7,6,72},
{6,7,56},{6,7,296},{7,6,472},{6,7,56},{7,6,472},{7,6,310},{7,6,310},{7,6,310},{7,6,342},{7,6,233},{7,6,265},{7,6,265},{7,6,373},{6,7,40},{7,6,212},{7,6,85},{7,6,85},{7,6,85},{7,6,117},{7,6,8},{7,6,40},{7,6,40},{7,6,148},{7,6,40},{7,6,148},{7,6,68},{6,7,116},{7,6,328},{6,7,260},{7,6,68},{6,7,20},{6,7,260},
{0,6,468},{6,7,20},{0,6,468},{7,0,306},{7,0,306},{7,0,306},{7,0,306},{7,6,229},{7,6,229},{7,6,229},{7,6,229},{6,7,36},{6,7,36},{7,7,68},{7,7,60},{7,7,123},{7,7,163},{7,7,116},{7,7,148},{7,7,211},{7,7,430},{6,7,248},{6,7,328},{7,7,19},{7,7,11},{7,7,74},{7,7,114},{7,7,67},{7,7,99},{7,7,162},{6,7,264},{7,7,171},
{6,7,264},{7,7,59},{7,7,59},{7,7,59},{7,7,99},{7,7,107},{7,7,147},{7,7,147},{7,7,366},{6,7,104},{6,7,264},{7,7,10},{7,7,10},{7,7,10},{7,7,50},{7,7,58},{7,7,98},{7,7,98},{6,7,200},{6,7,40},{6,7,200},{7,7,18},{7,7,10},{7,7,73},{6,7,100},{7,7,18},{7,7,50},{6,7,100},{0,7,260},{7,7,50},{0,7,260},{7,0,50},
{7,0,50},{7,0,50},{7,0,50},{7,6,85},{7,6,85},{7,6,85},{7,6,149},{6,7,68},{6,7,68},{7,7,196},{7,7,124},{7,7,75},{7,7,51},{7,7,148},{7,7,52},{7,7,3},{7,7,46},{7,7,84},{7,7,70},{7,7,195},{7,7,123},{7,7,74},{7,7,50},{7,7,147},{7,7,51},{7,7,2},{7,7,45},{7,7,59},{7,7,45},{7,7,75},{7,7,75},{7,7,75},
{7,7,51},{7,7,27},{7,7,3},{7,7,3},{7,7,46},{7,7,35},{7,7,70},{7,7,74},{7,7,74},{7,7,74},{7,7,50},{7,7,26},{7,7,2},{7,7,2},{7,7,45},{7,7,10},{7,7,45},{7,7,146},{7,7,74},{7,7,25},{7,7,1},{7,7,146},{7,7,50},{7,7,1},{0,7,36},{7,7,50},{0,7,36},{7,0,50},{7,0,50},{7,0,50},{7,0,50},{7,7,2},
{7,7,2},{7,7,2},{7,7,10},{7,7,34},{7,7,34},{7,7,548},{7,7,476},{7,7,427},{7,7,355},{7,7,404},{7,7,260},{7,7,211},{7,7,106},{7,7,132},{7,7,34},{7,7,467},{7,7,395},{7,7,346},{7,7,274},{7,7,323},{7,7,179},{7,7,130},{7,7,25},{7,7,123},{7,7,25},{7,7,427},{7,7,427},{7,7,427},{7,7,355},{7,7,283},{7,7,211},{7,7,211},
{7,7,106},{7,7,83},{7,7,34},{7,7,346},{7,7,346},{7,7,346},{7,7,274},{7,7,202},{7,7,130},{7,7,130},{7,7,25},{7,7,74},{7,7,25},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,306},{7,0,306},{7,0,306},{7,0,306},{7,7,162},{7,7,162},{7,7,162},{7,7,106},{7,7,34},
{7,7,34},{0,0,122},{0,0,50},{0,0,1},{0,0,25},{0,0,158},{0,0,110},{0,0,61},{0,0,244},{0,0,210},{0,0,280},{0,0,122},{0,0,50},{0,0,1},{0,0,25},{0,0,158},{0,0,110},{0,0,61},{0,0,244},{0,0,174},{0,0,244},{0,0,1},{0,0,1},{0,0,1},{0,0,25},{0,0,37},{0,0,61},{0,0,61},{0,0,244},{0,0,161},{0,0,280},{0,0,1},
{0,0,1},{0,0,1},{0,0,25},{0,0,37},{0,0,61},{0,0,61},{0,0,244},{0,0,125},{0,0,244},{0,0,122},{0,0,50},{0,0,1},{0,0,25},{0,0,122},{0,0,74},{0,0,25},{0,0,144},{0,0,74},{0,0,144},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,1,81},{0,1,81},{0,0,122},
{0,0,82},{0,1,328},{0,0,243},{0,0,82},{0,0,129},{0,0,319},{0,0,165},{0,1,81},{0,1,81},{0,0,122},{0,0,82},{0,1,328},{0,0,243},{0,0,82},{0,0,129},{0,0,283},{0,0,129},{0,1,45},{0,1,45},{0,1,45},{0,0,18},{0,0,58},{0,0,18},{0,0,18},{0,0,65},{0,0,94},{0,0,101},{0,1,45},{0,1,45},{0,1,45},{0,0,18},{0,0,58},
{0,0,18},{0,0,18},{0,0,65},{0,0,58},{0,0,65},{0,1,72},{0,1,72},{0,0,113},{0,0,73},{0,1,72},{1,0,104},{0,0,73},{0,0,80},{1,0,104},{0,0,80},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,49},{0,0,85},{0,0,85},{0,2,225},{0,1,129},{0,1,449},{0,0,498},{0,1,264},{0,1,168},{0,0,402},
{0,0,273},{0,0,687},{0,0,309},{0,2,225},{0,1,129},{0,1,449},{0,0,498},{0,1,264},{0,1,168},{0,0,402},{0,0,273},{1,0,248},{0,0,273},{0,1,125},{0,1,125},{0,1,125},{0,1,221},{0,1,68},{0,0,146},{0,0,146},{0,0,17},{0,0,158},{0,0,53},{0,1,125},{0,1,125},{0,1,125},{0,1,221},{0,1,68},{0,0,146},{0,0,146},{0,0,17},{0,0,122},
{0,0,17},{1,0,72},{0,1,8},{1,0,292},{1,0,260},{1,0,72},{1,0,104},{1,0,260},{0,0,272},{1,0,104},{0,0,272},{0,0,121},{0,0,121},{0,0,121},{0,0,121},{0,0,25},{0,0,25},{0,0,25},{0,0,1},{0,0,37},{0,0,37},{0,2,514},{0,2,558},{0,1,610},{0,1,514},{0,2,297},{0,1,153},{0,1,153},{0,1,777},{0,1,392},{0,0,802},{1,1,347},
{1,1,355},{1,1,446},{0,1,465},{0,2,248},{0,1,104},{0,1,104},{0,1,728},{0,1,248},{0,1,728},{0,2,414},{0,2,414},{0,2,414},{0,1,414},{0,1,149},{0,1,53},{0,1,53},{0,0,274},{0,1,292},{0,0,226},{1,0,229},{1,0,229},{1,0,229},{1,0,261},{1,0,68},{0,1,4},{0,1,4},{1,0,160},{1,0,52},{1,0,160},{0,2,104},{1,1,130},{0,1,200},
{0,1,104},{0,2,104},{2,0,74},{0,1,104},{0,1,584},{2,0,74},{0,1,584},{0,0,410},{0,0,410},{0,0,410},{0,0,410},{0,1,49},{0,1,49},{0,1,49},{0,0,130},{0,0,82},{0,0,82},{1,1,464},{1,1,400},{1,1,365},{1,1,397},{1,1,572},{0,2,499},{0,1,387},{0,1,435},{0,1,428},{0,1,188},{1,1,140},{1,1,76},{1,1,41},{1,1,73},{1,1,248},
{1,1,216},{0,1,131},{0,1,179},{2,0,264},{0,1,179},{1,1,364},{1,1,364},{1,1,364},{1,1,396},{0,2,314},{0,1,386},{0,1,386},{0,1,434},{0,1,67},{0,1,187},{1,1,40},{1,1,40},{1,1,40},{1,1,72},{0,2,58},{0,1,130},{0,1,130},{0,1,178},{0,1,58},{0,1,178},{0,3,72},{1,1,40},{1,1,5},{1,1,37},{0,3,72},{1,1,72},{1,1,37},
{0,1,170},{1,1,72},{0,1,170},{1,0,360},{1,0,360},{1,0,360},{1,0,360},{0,2,265},{0,2,265},{0,2,265},{0,1,265},{0,1,18},{0,1,18},{1,2,178},{1,2,202},{1,1,189},{1,1,157},{1,2,463},{1,1,316},{1,1,169},{1,1,238},{0,2,412},{0,1,124},{1,2,78},{1,2,102},{1,1,89},{1,1,57},{2,0,248},{0,2,99},{1,1,69},{0,1,99},{3,0,248},
{0,1,99},{1,1,140},{1,1,140},{1,1,140},{1,1,108},{1,1,152},{1,1,120},{1,1,120},{1,1,189},{0,1,275},{0,1,75},{1,1,40},{1,1,40},{1,1,40},{1,1,8},{1,1,52},{1,1,20},{1,1,20},{0,1,50},{1,1,68},{0,1,50},{1,2,74},{1,2,98},{1,1,85},{1,1,53},{1,2,74},{0,2,74},{1,1,53},{0,1,74},{0,2,74},{0,1,74},{1,0,104},
{1,0,104},{1,0,104},{1,0,104},{1,1,116},{1,1,116},{1,1,116},{1,1,164},{0,1,50},{0,1,50},{1,3,226},{1,2,106},{1,2,466},{1,1,429},{1,2,255},{1,2,207},{1,1,345},{1,1,238},{0,2,252},{1,1,298},{1,3,222},{1,2,102},{1,2,462},{1,1,425},{1,2,251},{1,2,203},{1,1,341},{1,1,234},{0,2,251},{1,1,234},{1,2,105},{1,2,105},{1,2,105},
{1,1,204},{1,2,86},{1,1,120},{1,1,120},{1,1,13},{0,2,83},{1,1,73},{1,2,101},{1,2,101},{1,2,101},{1,1,200},{2,0,52},{1,1,116},{1,1,116},{1,1,9},{3,0,52},{1,1,9},{2,1,74},{1,2,2},{2,1,274},{2,1,234},{2,1,74},{4,0,74},{2,1,234},{0,1,234},{4,0,74},{0,1,234},{1,0,104},{1,0,104},{1,0,104},{1,0,104},{1,1,20},
{1,1,20},{1,1,20},{1,1,4},{1,1,64},{1,1,64},{1,3,450},{1,2,522},{1,2,562},{1,2,490},{1,3,295},{1,2,127},{1,2,167},{1,1,750},{1,2,428},{1,1,714},{2,2,400},{2,2,416},{2,2,521},{1,2,454},{2,1,251},{1,2,91},{1,2,131},{0,2,651},{4,0,251},{0,2,651},{1,3,369},{1,3,369},{1,3,369},{1,2,369},{1,2,118},{1,2,46},{1,2,46},
{1,1,221},{0,2,163},{1,1,185},{2,1,257},{2,1,257},{2,1,257},{2,1,281},{0,4,50},{1,2,10},{1,2,10},{2,1,146},{2,1,50},{2,1,146},{3,0,80},{2,2,160},{1,2,202},{1,2,130},{3,0,80},{3,1,80},{1,2,130},{0,1,650},{3,1,80},{0,1,650},{1,0,360},{1,0,360},{1,0,360},{1,0,360},{1,2,37},{1,2,37},{1,2,37},{1,1,100},{1,1,64},
{1,1,64},{2,2,500},{2,2,444},{2,2,423},{2,2,463},{1,4,588},{1,3,513},{1,2,329},{1,2,441},{0,3,284},{1,2,232},{2,2,139},{2,2,83},{2,2,62},{2,2,102},{3,0,251},{2,2,243},{1,2,104},{1,2,216},{3,1,251},{1,2,216},{2,2,419},{2,2,419},{2,2,419},{2,2,459},{1,3,277},{1,2,325},{1,2,325},{1,2,437},{1,2,68},{1,2,228},{2,2,58},
{2,2,58},{2,2,58},{2,2,98},{1,3,52},{1,2,100},{1,2,100},{1,2,212},{1,2,52},{1,2,212},{1,4,74},{2,2,34},{2,2,13},{1,2,40},{1,4,74},{2,2,74},{1,2,40},{0,2,200},{2,2,74},{0,2,200},{2,0,410},{2,0,410},{2,0,410},{2,0,410},{1,3,241},{1,3,241},{1,3,241},{1,2,241},{1,2,32},{1,2,32},{2,3,202},{2,3,250},{2,2,183},
{2,2,159},{2,2,460},{2,2,316},{2,2,183},{2,2,274},{1,3,468},{1,2,104},{2,3,81},{2,3,129},{2,2,62},{2,2,38},{1,4,251},{1,3,96},{2,2,62},{1,2,88},{2,2,251},{1,2,88},{2,2,147},{2,2,147},{2,2,147},{2,2,123},{2,2,171},{2,2,147},{2,2,147},{2,2,238},{0,3,219},{1,2,68},{2,2,26},{2,2,26},{2,2,26},{2,2,2},{2,2,50},
{2,2,26},{2,2,26},{1,2,52},{5,0,50},{1,2,52},{2,3,80},{2,3,128},{2,2,61},{2,2,37},{2,3,80},{6,0,80},{2,2,37},{0,2,72},{6,0,80},{0,2,72},{2,0,122},{2,0,122},{2,0,122},{2,0,122},{2,2,146},{2,2,146},{2,2,146},{2,2,202},{1,2,32},{1,2,32},{2,3,234},{2,3,90},{2,2,455},{2,2,367},{2,3,253},{2,3,253},{2,2,295},
{2,2,210},{1,3,244},{2,2,282},{2,3,225},{2,3,81},{2,2,446},{2,2,358},{2,3,244},{2,3,244},{2,2,286},{2,2,201},{6,0,244},{2,2,201},{2,3,90},{2,3,90},{2,3,90},{2,2,171},{2,3,109},{2,2,99},{2,2,99},{2,2,14},{1,3,100},{2,2,86},{2,3,81},{2,3,81},{2,3,81},{2,2,162},{3,1,50},{2,2,90},{2,2,90},{2,2,5},{4,1,50},
{2,2,5},{4,0,80},{2,3,0},{3,2,260},{3,2,212},{4,0,80},{5,1,80},{3,2,212},{0,2,200},{5,1,80},{0,2,200},{2,0,90},{2,0,90},{2,0,90},{2,0,90},{2,2,18},{2,2,18},{2,2,18},{2,2,10},{2,2,82},{2,2,82},{2,4,394},{2,3,442},{2,3,522},{2,3,474},{2,4,301},{2,3,109},{2,3,189},{2,2,658},{2,3,472},{2,2,634},{2,4,369},
{2,3,417},{2,3,497},{2,3,449},{3,2,244},{2,3,84},{2,3,164},{3,2,620},{5,1,244},{3,2,620},{2,4,330},{2,4,330},{2,4,330},{2,3,330},{2,3,93},{2,3,45},{2,3,45},{2,2,174},{1,3,132},{2,2,150},{3,2,289},{3,2,289},{3,2,289},{3,2,305},{4,0,52},{2,3,20},{2,3,20},{3,2,136},{3,2,52},{3,2,136},{2,4,80},{2,3,128},{2,3,208},
{2,3,160},{2,4,80},{7,0,80},{2,3,160},{0,2,584},{7,0,80},{0,2,584},{2,0,314},{2,0,314},{2,0,314},{2,0,314},{2,3,29},{2,3,29},{2,3,29},{2,2,74},{2,2,50},{2,2,50},{3,3,544},{3,3,496},{3,3,489},{3,3,537},{2,4,535},{2,4,535},{2,3,279},{2,3,455},{1,4,292},{2,3,284},{3,3,144},{3,3,96},{3,3,89},{3,3,137},{4,1,244},
{3,3,276},{2,3,83},{2,3,259},{4,2,244},{2,3,259},{3,3,480},{3,3,480},{3,3,480},{3,3,528},{2,4,246},{2,3,270},{2,3,270},{2,3,446},{2,3,75},{2,3,275},{3,3,80},{3,3,80},{3,3,80},{3,3,128},{2,4,50},{2,3,74},{2,3,74},{2,3,250},{7,0,50},{2,3,250},{5,0,80},{3,3,32},{3,3,25},{2,3,34},{5,0,80},{6,1,80},{2,3,34},
{0,3,234},{6,1,80},{0,3,234},{3,0,464},{3,0,464},{3,0,464},{3,0,464},{2,4,221},{2,4,221},{2,4,221},{2,3,221},{2,3,50},{2,3,50},{3,4,234},{3,3,304},{3,3,185},{3,3,169},{3,3,452},{3,3,324},{3,3,205},{3,3,318},{1,4,452},{2,3,92},{3,4,90},{3,3,160},{3,3,41},{3,3,25},{5,0,244},{2,4,99},{3,3,61},{2,3,83},{3,3,244},
{2,3,83},{3,3,160},{3,3,160},{3,3,160},{3,3,144},{3,3,196},{3,3,180},{3,3,180},{3,3,293},{2,3,187},{2,3,67},{3,3,16},{3,3,16},{3,3,16},{3,3,0},{3,3,52},{3,3,36},{3,3,36},{2,3,58},{6,1,52},{2,3,58},{4,2,80},{3,3,160},{3,3,41},{3,3,25},{4,2,80},{5,2,80},{3,3,25},{0,3,74},{5,2,80},{0,3,74},{3,0,144},
{3,0,144},{3,0,144},{3,0,144},{3,3,180},{3,3,180},{3,3,180},{3,3,244},{2,3,18},{2,3,18},{3,4,202},{3,4,82},{3,3,393},{3,3,313},{3,4,259},{3,4,307},{3,3,253},{3,3,190},{2,4,244},{3,3,274},{3,4,186},{3,4,66},{3,3,377},{3,3,297},{3,4,243},{2,4,243},{3,3,237},{3,3,174},{7,1,243},{3,3,174},{3,4,81},{3,4,81},{3,4,81},
{3,3,144},{3,4,138},{3,3,84},{3,3,84},{3,3,21},{2,4,123},{3,3,105},{3,4,65},{3,4,65},{3,4,65},{3,3,128},{4,2,52},{3,3,68},{3,3,68},{3,3,5},{5,2,52},{3,3,5},{5,1,74},{3,4,2},{4,3,250},{4,3,194},{5,1,74},{4,3,74},{4,3,194},{0,3,170},{4,3,74},{0,3,170},{3,0,80},{3,0,80},{3,0,80},{3,0,80},{3,3,20},
{3,3,20},{3,3,20},{3,3,20},{3,3,104},{3,3,104},{3,5,346},{3,4,370},{3,4,490},{3,4,466},{3,5,315},{3,4,99},{3,4,219},{3,3,574},{2,4,468},{3,3,562},{3,5,330},{3,4,354},{3,4,474},{3,4,450},{4,3,243},{3,4,83},{3,4,203},{3,3,558},{6,2,243},{3,3,558},{3,5,297},{3,5,297},{3,5,297},{3,4,297},{3,4,74},{3,4,50},{3,4,50},
{3,3,133},{2,4,107},{3,3,121},{3,5,281},{3,5,281},{3,5,281},{3,4,281},{5,1,58},{3,4,34},{3,4,34},{3,3,117},{7,1,58},{3,3,117},{6,0,74},{3,4,98},{3,4,218},{3,4,194},{6,0,74},{3,4,74},{3,4,194},{0,3,522},{3,4,74},{0,3,522},{3,0,272},{3,0,272},{3,0,272},{3,0,272},{3,4,25},{3,4,25},{3,4,25},{3,3,52},{3,3,40},
{3,3,40},{4,4,596},{4,4,556},{4,4,563},{4,4,619},{3,5,477},{3,4,477},{3,4,237},{3,4,477},{2,5,308},{3,4,344},{4,4,155},{4,4,115},{4,4,122},{4,4,178},{5,2,243},{2,5,299},{3,4,68},{2,4,308},{5,3,243},{2,4,308},{4,4,547},{4,4,547},{4,4,547},{4,4,603},{3,5,221},{3,4,221},{3,4,221},{3,4,461},{3,4,88},{3,4,328},{4,4,106},
{4,4,106},{4,4,106},{4,4,162},{6,0,52},{3,4,52},{3,4,52},{2,4,292},{3,4,52},{2,4,292},{4,4,74},{4,4,34},{4,4,41},{3,4,32},{4,4,74},{7,2,74},{3,4,32},{0,4,272},{7,2,74},{0,4,272},{4,0,522},{4,0,522},{4,0,522},{4,0,522},{3,4,205},{3,4,205},{3,4,205},{3,4,205},{3,4,72},{3,4,72},{4,5,274},{4,4,300},{4,4,195},
{4,4,187},{4,4,452},{4,4,340},{4,4,235},{4,4,370},{2,5,404},{3,4,88},{4,5,105},{4,4,131},{4,4,26},{4,4,18},{6,1,243},{3,5,108},{4,4,66},{3,4,84},{4,4,243},{3,4,84},{4,4,179},{4,4,179},{4,4,179},{4,4,171},{4,4,227},{4,4,219},{4,4,219},{4,4,354},{3,4,152},{3,4,72},{4,4,10},{4,4,10},{4,4,10},{4,4,2},{5,2,58},
{4,4,50},{4,4,50},{3,4,68},{7,2,58},{3,4,68},{5,3,74},{4,4,130},{4,4,25},{4,4,17},{5,3,74},{6,3,74},{4,4,17},{0,4,80},{6,3,74},{0,4,80},{4,0,170},{4,0,170},{4,0,170},{4,0,170},{4,3,205},{4,3,205},{4,3,205},{4,3,269},{3,4,8},{3,4,8},{4,5,178},{4,5,82},{4,4,339},{4,4,267},{4,5,273},{4,5,369},{4,4,219},
{4,4,178},{3,5,252},{4,4,274},{4,5,153},{4,5,57},{4,4,314},{4,4,242},{7,0,248},{3,5,204},{4,4,194},{4,4,153},{3,5,248},{4,4,153},{4,5,78},{4,5,78},{4,5,78},{4,4,123},{4,4,147},{4,4,75},{4,4,75},{4,4,34},{3,5,152},{4,4,130},{4,5,53},{4,5,53},{4,5,53},{4,4,98},{6,1,58},{4,4,50},{4,4,50},{4,4,9},{6,3,58},
{4,4,9},{6,2,72},{4,5,8},{5,4,244},{5,4,180},{6,2,72},{5,4,72},{5,4,180},{0,4,144},{5,4,72},{0,4,144},{4,0,74},{4,0,74},{4,0,74},{4,0,74},{4,4,26},{4,4,26},{4,4,26},{4,4,34},{4,4,130},{4,4,130},{4,6,306},{4,5,306},{4,5,466},{4,5,466},{4,6,337},{4,5,97},{4,5,257},{4,4,498},{3,5,412},{4,4,498},{4,6,297},
{4,5,297},{4,5,457},{4,5,457},{5,4,248},{4,5,88},{4,5,248},{4,4,489},{7,3,248},{4,4,489},{4,5,270},{4,5,270},{4,5,270},{4,5,270},{4,5,61},{4,5,61},{4,5,61},{4,4,98},{3,5,88},{4,4,98},{4,5,261},{4,5,261},{4,5,261},{4,5,261},{7,0,52},{4,5,52},{4,5,52},{4,4,89},{3,5,52},{4,4,89},{7,1,72},{4,5,72},{4,5,232},
{3,5,232},{7,1,72},{4,5,72},{3,5,232},{0,4,464},{4,5,72},{0,4,464},{4,0,234},{4,0,234},{4,0,234},{4,0,234},{4,5,25},{4,5,25},{4,5,25},{4,4,34},{4,4,34},{4,4,34},{5,5,656},{5,5,624},{5,5,645},{5,5,709},{4,6,427},{4,5,403},{4,5,203},{4,5,507},{4,5,332},{4,5,412},{5,5,172},{5,5,140},{5,5,161},{5,5,225},{6,3,248},
{4,5,259},{4,5,59},{3,5,339},{6,4,248},{3,5,339},{5,5,620},{5,5,620},{5,5,620},{5,5,684},{4,6,202},{4,5,178},{4,5,178},{4,5,482},{4,5,107},{4,5,387},{5,5,136},{5,5,136},{5,5,136},{5,5,200},{7,1,58},{4,5,34},{4,5,34},{5,4,290},{7,3,58},{5,4,290},{5,5,72},{5,5,40},{5,5,61},{4,5,34},{5,5,72},{3,6,72},{4,5,34},
{0,5,314},{3,6,72},{0,5,314},{5,0,584},{5,0,584},{5,0,584},{5,0,584},{4,5,169},{4,5,169},{4,5,169},{4,5,193},{4,5,98},{4,5,98},{5,6,322},{5,5,304},{5,5,213},{5,5,213},{5,5,460},{5,5,364},{5,5,273},{5,5,430},{3,6,364},{4,5,92},{5,6,126},{5,5,108},{5,5,17},{5,5,17},{7,2,248},{4,6,123},{5,5,77},{4,5,91},{5,5,248},
{4,5,91},{5,5,204},{5,5,204},{5,5,204},{5,5,204},{5,5,264},{5,5,264},{5,5,264},{5,5,421},{4,5,123},{4,5,83},{5,5,8},{5,5,8},{5,5,8},{5,5,8},{6,3,52},{5,5,68},{5,5,68},{4,5,82},{6,4,52},{4,5,82},{6,4,72},{5,5,104},{5,5,13},{5,5,13},{6,4,72},{7,4,72},{5,5,13},{0,5,90},{7,4,72},{0,5,90},{5,0,200},
{5,0,200},{5,0,200},{5,0,200},{5,4,221},{5,4,221},{5,4,221},{5,4,277},{4,5,2},{4,5,2},{5,6,162},{5,6,90},{5,5,293},{5,5,229},{5,6,295},{5,5,396},{5,5,193},{5,5,174},{4,6,268},{5,5,282},{5,6,126},{5,6,54},{5,5,257},{5,5,193},{5,6,259},{4,6,171},{5,5,157},{5,5,138},{4,6,259},{5,5,138},{5,6,81},{5,6,81},{5,6,81},
{5,5,108},{5,5,136},{5,5,72},{5,5,72},{5,5,53},{4,6,187},{5,5,161},{5,6,45},{5,6,45},{5,6,45},{5,5,72},{7,2,52},{5,5,36},{5,5,36},{5,5,17},{5,5,52},{5,5,17},{7,3,74},{5,6,18},{5,5,221},{5,5,157},{7,3,74},{6,5,74},{5,5,157},{0,5,122},{6,5,74},{0,5,122},{5,0,72},{5,0,72},{5,0,72},{5,0,72},{5,5,36},
{5,5,36},{5,5,36},{5,5,52},{5,5,160},{5,5,160},{5,7,274},{5,6,250},{5,6,450},{5,6,474},{5,6,343},{5,6,103},{5,6,303},{5,5,430},{4,6,364},{5,5,442},{5,7,270},{5,6,246},{5,6,446},{5,6,470},{7,3,251},{5,6,99},{5,6,299},{5,5,426},{6,5,251},{5,5,426},{5,6,225},{5,6,225},{5,6,225},{5,6,249},{5,6,54},{5,6,78},{5,6,78},
{5,5,69},{4,6,75},{5,5,81},{5,6,221},{5,6,221},{5,6,221},{5,6,245},{5,6,50},{5,6,74},{5,6,74},{5,5,65},{4,6,50},{5,5,65},{5,7,74},{5,6,50},{5,6,250},{4,6,250},{5,7,74},{5,6,74},{4,6,250},{0,5,410},{5,6,74},{0,5,410},{5,0,200},{5,0,200},{5,0,200},{5,0,200},{5,6,29},{5,6,29},{5,6,29},{5,5,20},{5,5,32},
{5,5,32},{6,6,724},{6,6,700},{6,6,735},{5,6,690},{5,7,385},{5,6,337},{5,6,177},{5,6,545},{5,6,328},{5,6,488},{6,6,195},{6,6,171},{6,6,206},{6,6,278},{7,4,259},{5,6,216},{5,6,56},{4,6,376},{7,5,259},{4,6,376},{5,7,654},{5,7,654},{5,7,654},{5,6,654},{5,7,189},{5,6,141},{5,6,141},{5,6,509},{5,6,132},{5,5,450},{6,5,157},
{6,5,157},{6,5,157},{6,5,221},{6,5,52},{5,6,20},{5,6,20},{6,5,256},{3,7,52},{6,5,256},{6,6,74},{6,6,50},{6,6,85},{5,6,40},{6,6,74},{4,7,74},{5,6,40},{0,6,360},{4,7,74},{0,6,360},{5,0,650},{5,0,650},{5,0,650},{5,0,650},{5,6,137},{5,6,137},{5,6,137},{5,6,185},{5,6,128},{5,6,128},{6,7,378},{6,6,316},{6,6,239},
{6,6,247},{6,6,476},{6,6,396},{6,6,319},{5,6,465},{4,7,332},{5,6,104},{6,7,153},{6,6,91},{6,6,14},{6,6,22},{6,6,251},{5,7,144},{6,6,94},{5,6,104},{4,7,251},{5,6,104},{6,6,235},{6,6,235},{6,6,235},{6,6,243},{6,6,307},{6,6,315},{6,6,315},{5,6,461},{5,6,100},{5,6,100},{6,6,10},{6,6,10},{6,6,10},{6,6,18},{7,4,50},
{6,6,90},{6,6,90},{5,6,100},{7,5,50},{5,6,100},{7,5,74},{6,6,82},{6,6,5},{6,6,13},{7,5,74},{6,6,90},{6,6,13},{0,6,104},{6,6,90},{0,6,104},{6,0,234},{6,0,234},{6,0,234},{6,0,234},{6,5,241},{6,5,241},{6,5,241},{6,5,289},{5,6,0},{5,6,0},{6,7,154},{6,7,106},{6,6,255},{6,6,199},{6,7,325},{6,6,364},{6,6,175},
{6,6,178},{5,7,292},{5,6,232},{6,7,105},{6,7,57},{6,6,206},{6,6,150},{7,5,251},{5,7,144},{6,6,126},{6,6,129},{5,7,276},{6,6,129},{6,7,90},{6,7,90},{6,7,90},{6,6,99},{6,6,131},{6,6,75},{6,6,75},{6,6,78},{6,6,219},{5,6,132},{6,7,41},{6,7,41},{6,7,41},{6,6,50},{7,5,82},{6,6,26},{6,6,26},{6,6,29},{6,6,50},
{6,6,29},{6,7,80},{6,7,32},{6,6,181},{6,6,125},{6,7,80},{7,6,80},{6,6,125},{0,6,104},{7,6,80},{0,6,104},{6,0,74},{6,0,74},{6,0,74},{6,0,74},{6,6,50},{6,6,50},{6,6,50},{6,6,74},{5,6,128},{5,6,128},{6,7,442},{6,7,202},{6,7,442},{6,7,490},{6,7,309},{6,7,117},{6,7,357},{6,6,370},{5,7,324},{6,6,394},{6,7,441},
{6,7,201},{6,7,441},{6,7,489},{7,6,276},{6,7,116},{6,7,356},{6,6,369},{7,6,244},{6,6,369},{6,7,186},{6,7,186},{6,7,186},{6,7,234},{6,7,53},{6,7,101},{6,7,101},{6,6,46},{5,7,68},{6,6,70},{6,7,185},{6,7,185},{6,7,185},{6,7,233},{6,7,52},{6,7,100},{6,7,100},{6,6,45},{5,7,52},{6,6,45},{7,6,80},{6,7,32},{6,7,272},
{5,7,272},{7,6,80},{6,7,80},{5,7,272},{0,6,360},{6,7,80},{0,6,360},{6,0,170},{6,0,170},{6,0,170},{6,0,170},{6,7,37},{6,7,37},{6,7,37},{6,6,10},{6,6,34},{6,6,34},{7,7,800},{7,7,784},{6,7,802},{6,7,634},{6,7,903},{6,7,279},{6,7,159},{6,7,591},{6,7,332},{6,7,572},{7,7,224},{7,7,208},{7,7,257},{7,7,337},{7,6,339},
{6,7,179},{6,7,59},{5,7,419},{6,7,251},{5,7,419},{7,6,745},{7,6,745},{7,6,745},{6,7,585},{6,7,278},{6,7,110},{6,7,110},{6,6,469},{6,7,163},{6,6,385},{7,6,169},{7,6,169},{7,6,169},{7,6,225},{7,6,50},{6,7,10},{6,7,10},{7,6,226},{7,6,82},{7,6,226},{7,7,80},{7,7,64},{7,7,113},{6,7,50},{7,7,80},{7,7,144},{6,7,50},
{0,7,410},{7,7,144},{0,7,410},{6,0,584},{6,0,584},{6,0,584},{6,0,584},{6,7,109},{6,7,109},{6,7,109},{6,7,181},{6,6,160},{6,6,160},{7,7,393},{7,7,321},{7,7,272},{7,7,288},{7,7,477},{7,7,421},{7,7,372},{6,7,446},{6,7,483},{6,7,123},{7,7,137},{7,7,65},{7,7,16},{7,7,32},{7,7,221},{7,7,165},{7,7,116},{6,7,122},{7,7,261},
{6,7,122},{7,7,272},{7,7,272},{7,7,272},{7,7,288},{7,7,356},{7,7,372},{7,7,372},{6,7,446},{6,7,83},{6,7,123},{7,7,16},{7,7,16},{7,7,16},{7,7,32},{7,7,100},{7,7,116},{7,7,116},{6,7,122},{6,7,82},{6,7,122},{7,7,121},{7,7,49},{7,7,0},{7,7,16},{7,7,121},{7,7,65},{7,7,16},{0,7,121},{7,7,65},{0,7,121},{7,0,272},
{7,0,272},{7,0,272},{7,0,272},{7,6,265},{7,6,265},{7,6,265},{7,6,305},{6,7,2},{6,7,2},{7,7,265},{7,7,193},{7,7,144},{7,7,96},{7,7,253},{7,7,133},{7,7,84},{7,7,109},{7,7,297},{6,7,107},{7,7,201},{7,7,129},{7,7,80},{7,7,32},{7,7,189},{7,7,69},{7,7,20},{7,7,45},{7,7,101},{7,7,45},{7,7,144},{7,7,144},{7,7,144},
{7,7,96},{7,7,132},{7,7,84},{7,7,84},{7,7,109},{7,7,248},{6,7,107},{7,7,80},{7,7,80},{7,7,80},{7,7,32},{7,7,68},{7,7,20},{7,7,20},{7,7,45},{7,7,52},{7,7,45},{7,7,185},{7,7,113},{7,7,64},{7,7,16},{7,7,185},{7,7,65},{7,7,16},{0,7,9},{7,7,65},{0,7,9},{7,0,80},{7,0,80},{7,0,80},{7,0,80},{7,7,68},
{7,7,68},{7,7,68},{7,7,100},{6,7,98},{6,7,98},{7,7,386},{7,7,314},{7,7,265},{7,7,193},{7,7,278},{7,7,134},{7,7,85},{7,7,4},{7,7,138},{7,7,40},{7,7,386},{7,7,314},{7,7,265},{7,7,193},{7,7,278},{7,7,134},{7,7,85},{7,7,4},{7,7,102},{7,7,4},{7,7,265},{7,7,265},{7,7,265},{7,7,193},{7,7,157},{7,7,85},{7,7,85},
{7,7,4},{7,7,89},{7,7,40},{7,7,265},{7,7,265},{7,7,265},{7,7,193},{7,7,157},{7,7,85},{7,7,85},{7,7,4},{7,7,53},{7,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,144},{7,0,144},{7,0,144},{7,0,144},{7,7,36},{7,7,36},{7,7,36},{7,7,4},{7,7,40},
{7,7,40},{0,1,200},{0,1,104},{0,0,153},{0,0,145},{0,1,561},{0,0,398},{0,0,181},{0,0,308},{0,0,498},{0,0,344},{0,1,200},{0,1,104},{0,0,153},{0,0,145},{0,1,561},{0,0,398},{0,0,181},{0,0,308},{0,0,462},{0,0,308},{0,0,9},{0,0,9},{0,0,9},{0,0,1},{0,0,45},{0,0,37},{0,0,37},{0,0,164},{0,0,137},{0,0,200},{0,0,9},
{0,0,9},{0,0,9},{0,0,1},{0,0,45},{0,0,37},{0,0,37},{0,0,164},{0,0,101},{0,0,164},{0,1,200},{0,1,104},{0,0,153},{0,0,145},{0,1,200},{1,0,232},{0,0,145},{0,0,208},{1,0,232},{0,0,208},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,2,232},{0,1,40},{0,1,200},
{0,1,392},{0,1,689},{0,1,593},{0,0,485},{0,0,500},{0,0,914},{0,0,536},{0,2,232},{0,1,40},{0,1,200},{0,1,392},{0,1,689},{0,1,593},{0,0,485},{0,0,500},{1,0,761},{0,0,500},{0,1,4},{0,1,4},{0,1,4},{0,0,49},{0,0,157},{0,0,85},{0,0,85},{0,0,100},{0,0,185},{0,0,136},{0,1,4},{0,1,4},{0,1,4},{0,0,49},{0,0,157},
{0,0,85},{0,0,85},{0,0,100},{0,0,149},{0,0,100},{1,0,200},{0,1,40},{0,1,200},{0,1,392},{1,0,200},{1,0,232},{0,1,392},{0,0,400},{1,0,232},{0,0,400},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,2,281},{0,2,149},{0,1,121},{0,1,121},{0,2,808},{0,1,376},{0,1,216},
{0,0,857},{0,1,1169},{0,0,893},{0,2,281},{0,2,149},{0,1,121},{0,1,121},{1,0,728},{0,1,376},{0,1,216},{0,0,857},{1,0,744},{0,0,857},{0,1,85},{0,1,85},{0,1,85},{0,1,85},{0,1,180},{0,1,180},{0,1,180},{0,0,73},{0,0,270},{0,0,109},{0,1,85},{0,1,85},{0,1,85},{0,1,85},{0,1,180},{0,1,180},{0,1,180},{0,0,73},{0,0,234},
{0,0,73},{0,2,232},{0,2,100},{0,1,72},{0,1,72},{0,2,232},{2,0,202},{0,1,72},{0,1,712},{2,0,202},{0,1,712},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,0,1},{0,0,1},{0,0,1},{0,0,9},{0,0,45},{0,0,45},{0,3,427},{0,2,229},{0,1,425},{0,1,233},{0,2,744},{0,1,504},{0,1,24},{0,1,584},{0,1,1105},{0,1,945},{0,3,427},
{0,2,229},{1,1,414},{0,1,233},{0,2,744},{0,1,504},{0,1,24},{0,1,584},{2,0,739},{0,1,584},{0,2,229},{0,2,229},{0,2,229},{0,1,229},{0,1,212},{0,1,20},{0,1,20},{0,0,281},{0,0,590},{0,0,317},{0,2,229},{0,2,229},{0,2,229},{0,1,229},{1,0,180},{0,1,20},{0,1,20},{0,0,281},{1,0,164},{0,0,281},{0,3,202},{0,2,4},{1,1,53},
{0,1,8},{0,3,202},{1,1,202},{0,1,8},{0,1,328},{1,1,202},{0,1,328},{0,0,225},{0,0,225},{0,0,225},{0,0,225},{0,1,16},{0,1,16},{0,1,16},{0,0,25},{0,0,61},{0,0,61},{0,4,842},{0,3,740},{1,1,1125},{0,1,834},{0,3,744},{0,2,267},{0,1,283},{0,1,267},{0,1,1356},{0,1,476},{1,2,302},{1,2,230},{1,1,225},{1,1,225},{0,3,728},
{0,2,251},{0,1,267},{0,1,251},{1,1,728},{0,1,251},{0,3,596},{0,3,596},{0,3,596},{0,1,713},{0,2,186},{0,1,162},{0,1,162},{0,1,146},{0,1,395},{0,1,355},{1,1,104},{1,1,104},{1,1,104},{1,1,104},{0,2,170},{0,1,146},{0,1,146},{0,1,130},{0,1,170},{0,1,130},{1,2,202},{1,2,130},{1,1,125},{1,1,125},{1,2,202},{0,2,202},{1,1,125},
{0,1,202},{0,2,202},{0,1,202},{0,0,592},{0,0,592},{0,0,592},{0,0,592},{0,1,41},{0,1,41},{0,1,41},{0,1,65},{0,0,200},{0,0,200},{1,3,738},{1,2,522},{1,2,722},{1,1,885},{0,4,987},{0,2,443},{0,2,379},{0,1,507},{0,2,1100},{0,1,412},{1,3,254},{1,2,38},{1,2,238},{1,1,401},{1,2,739},{0,2,299},{0,2,235},{0,1,363},{0,2,739},
{0,1,363},{1,2,497},{1,2,497},{1,2,497},{1,1,524},{0,3,324},{0,2,154},{0,2,154},{0,1,146},{0,1,411},{0,1,51},{1,2,13},{1,2,13},{1,2,13},{1,1,40},{1,1,164},{0,2,10},{0,2,10},{0,1,2},{1,1,180},{0,1,2},{2,1,202},{1,2,34},{1,2,234},{0,2,234},{2,1,202},{4,0,202},{0,2,234},{0,1,362},{4,0,202},{0,1,362},{1,0,488},
{1,0,488},{1,0,488},{1,0,488},{0,2,145},{0,2,145},{0,2,145},{0,1,145},{0,1,50},{0,1,50},{1,3,450},{1,3,362},{1,2,306},{1,2,330},{1,2,1015},{1,2,583},{1,2,463},{1,1,990},{0,2,940},{0,1,860},{1,3,254},{1,3,166},{1,2,110},{1,2,134},{0,4,731},{0,3,288},{0,2,155},{1,1,794},{2,1,731},{1,1,794},{1,2,257},{1,2,257},{1,2,257},
{1,2,281},{1,2,390},{1,1,392},{1,1,392},{1,1,261},{0,2,315},{0,1,131},{1,2,61},{1,2,61},{1,2,61},{1,2,85},{2,0,164},{0,2,106},{0,2,106},{1,1,65},{3,0,164},{1,1,65},{3,0,208},{1,3,130},{1,2,74},{0,2,74},{3,0,208},{3,1,208},{0,2,74},{0,1,778},{3,1,208},{0,1,778},{1,0,232},{1,0,232},{1,0,232},{1,0,232},{1,1,196},
{1,1,196},{1,1,196},{1,1,212},{0,1,82},{0,1,82},{1,4,440},{1,3,234},{1,2,402},{1,2,234},{1,3,767},{1,2,503},{1,2,63},{1,2,687},{0,3,1140},{0,2,396},{1,4,404},{1,3,198},{1,2,366},{1,2,198},{1,3,731},{0,3,224},{1,2,27},{0,2,387},{1,2,731},{0,2,387},{1,3,233},{1,3,233},{1,3,233},{1,2,233},{1,2,230},{1,2,62},{1,2,62},
{1,1,277},{0,2,203},{1,1,385},{1,3,197},{1,3,197},{1,3,197},{1,2,197},{0,4,162},{1,2,26},{1,2,26},{1,1,241},{2,1,162},{1,1,241},{2,2,208},{1,3,2},{2,2,65},{1,2,2},{2,2,208},{5,0,208},{1,2,2},{0,2,362},{5,0,208},{0,2,362},{1,0,232},{1,0,232},{1,0,232},{1,0,232},{1,2,61},{1,2,61},{1,2,61},{1,1,52},{0,2,34},
{0,2,34},{1,5,810},{1,3,702},{1,2,1122},{1,2,738},{1,4,748},{1,3,281},{1,2,225},{1,2,273},{0,3,780},{0,2,252},{2,3,329},{2,3,281},{2,2,222},{2,2,230},{2,2,731},{1,3,272},{1,2,216},{0,2,216},{5,0,731},{0,2,216},{1,4,547},{1,4,547},{1,4,547},{1,2,638},{1,3,173},{1,2,125},{1,2,125},{1,2,173},{0,3,339},{0,2,152},{2,2,122},
{2,2,122},{2,2,122},{2,2,130},{1,3,164},{1,2,116},{1,2,116},{0,2,116},{1,2,164},{0,2,116},{2,3,208},{2,3,160},{2,2,101},{2,2,109},{2,3,208},{6,0,208},{2,2,109},{0,2,200},{6,0,208},{0,2,200},{1,0,538},{1,0,538},{1,0,538},{1,0,538},{1,2,25},{1,2,25},{1,2,25},{1,2,73},{0,2,52},{0,2,52},{2,3,810},{2,3,570},{2,3,810},
{2,2,887},{1,4,940},{1,3,393},{1,3,393},{1,2,449},{0,3,1004},{1,2,392},{2,3,281},{2,3,41},{2,3,281},{2,2,358},{3,1,731},{1,3,272},{1,3,272},{1,2,328},{4,1,731},{1,2,328},{2,3,554},{2,3,554},{2,3,554},{2,2,563},{1,4,315},{1,3,137},{1,3,137},{1,2,125},{0,3,163},{1,2,68},{2,3,25},{2,3,25},{2,3,25},{2,2,34},{2,2,162},
{1,3,16},{1,3,16},{1,2,4},{5,0,162},{1,2,4},{4,0,208},{2,3,32},{2,3,272},{1,3,272},{4,0,208},{5,1,208},{1,3,272},{0,2,328},{5,1,208},{0,2,328},{2,0,538},{2,0,538},{2,0,538},{2,0,538},{1,3,121},{1,3,121},{1,3,121},{1,2,121},{1,2,64},{1,2,64},{2,4,458},{2,3,410},{2,3,330},{2,3,378},{2,3,1013},{2,3,629},{1,3,505},
{2,2,962},{0,4,772},{1,2,776},{2,4,233},{2,3,185},{2,3,105},{2,3,153},{4,0,724},{1,4,323},{1,3,144},{2,2,737},{3,2,724},{2,2,737},{2,3,266},{2,3,266},{2,3,266},{2,3,314},{2,3,437},{2,2,395},{2,2,395},{2,2,286},{1,3,356},{1,2,100},{2,3,41},{2,3,41},{2,3,41},{2,3,89},{3,1,162},{1,3,80},{1,3,80},{2,2,61},{4,1,162},
{2,2,61},{2,4,208},{2,3,160},{2,3,80},{1,3,80},{2,4,208},{7,0,208},{1,3,80},{0,2,712},{7,0,208},{0,2,712},{2,0,250},{2,0,250},{2,0,250},{2,0,250},{2,2,226},{2,2,226},{2,2,226},{2,2,250},{1,2,64},{1,2,64},{2,5,436},{2,4,222},{2,3,362},{2,3,218},{2,4,773},{2,3,485},{2,3,85},{2,3,773},{0,4,804},{1,3,452},{2,5,387},
{2,4,173},{2,3,313},{2,3,169},{2,4,724},{1,4,211},{2,3,36},{1,3,436},{7,0,724},{1,3,436},{2,4,218},{2,4,218},{2,4,218},{2,3,218},{2,3,229},{2,3,85},{2,3,85},{2,2,254},{1,3,196},{2,2,374},{2,4,169},{2,4,169},{2,4,169},{2,3,169},{4,0,164},{2,3,36},{2,3,36},{2,2,205},{3,2,164},{2,2,205},{3,3,202},{2,4,4},{3,3,81},
{2,3,0},{3,3,202},{6,1,202},{2,3,0},{0,3,400},{6,1,202},{0,3,400},{2,0,218},{2,0,218},{2,0,218},{2,0,218},{2,3,85},{2,3,85},{2,3,85},{2,2,58},{1,3,52},{1,3,52},{2,5,760},{2,4,618},{2,3,1010},{2,3,650},{2,5,760},{2,4,303},{2,3,175},{2,3,287},{1,4,788},{1,3,236},{3,4,362},{3,4,338},{3,3,225},{3,3,241},{3,3,724},
{2,4,299},{2,3,171},{1,3,211},{6,1,724},{1,3,211},{2,5,504},{2,5,504},{2,5,504},{2,3,569},{2,4,166},{2,3,94},{2,3,94},{2,3,206},{0,4,363},{1,3,155},{3,3,144},{3,3,144},{3,3,144},{3,3,160},{2,4,162},{2,3,90},{2,3,90},{1,3,130},{7,0,162},{1,3,130},{4,2,208},{2,4,130},{3,3,81},{3,3,97},{4,2,208},{5,2,208},{3,3,97},
{0,3,202},{5,2,208},{0,3,202},{2,0,488},{2,0,488},{2,0,488},{2,0,488},{2,3,13},{2,3,13},{2,3,13},{2,3,85},{1,3,34},{1,3,34},{3,4,842},{3,4,626},{3,4,906},{3,3,897},{2,5,888},{2,4,351},{2,4,415},{2,3,399},{0,5,788},{2,3,380},{3,4,266},{3,4,50},{3,4,330},{3,3,321},{4,2,724},{2,4,251},{2,4,315},{2,3,299},{5,2,724},
{2,3,299},{3,4,617},{3,4,617},{3,4,617},{3,3,608},{2,5,312},{2,4,126},{2,4,126},{2,3,110},{1,4,164},{2,3,91},{3,4,41},{3,4,41},{3,4,41},{3,3,32},{3,3,164},{2,4,26},{2,4,26},{2,3,10},{6,1,164},{2,3,10},{5,1,202},{3,4,34},{3,4,314},{3,3,305},{5,1,202},{4,3,202},{3,3,305},{0,3,298},{4,3,202},{0,3,298},{3,0,592},
{3,0,592},{3,0,592},{3,0,592},{2,4,101},{2,4,101},{2,4,101},{2,3,101},{2,3,82},{2,3,82},{3,5,474},{3,4,402},{3,4,362},{3,4,434},{3,4,1019},{3,4,683},{2,4,463},{3,3,942},{1,5,804},{2,3,700},{3,5,218},{3,4,146},{3,4,106},{3,4,178},{5,1,723},{2,5,364},{2,4,139},{3,3,686},{4,3,723},{3,3,686},{3,4,281},{3,4,281},{3,4,281},
{3,4,353},{3,4,490},{2,4,382},{2,4,382},{3,3,317},{1,4,324},{2,3,75},{3,4,25},{3,4,25},{3,4,25},{3,4,97},{4,2,164},{2,4,58},{2,4,58},{3,3,61},{5,2,164},{3,3,61},{6,0,202},{3,4,130},{3,4,90},{2,4,90},{6,0,202},{3,4,202},{2,4,90},{0,3,650},{3,4,202},{0,3,650},{3,0,272},{3,0,272},{3,0,272},{3,0,272},{3,3,260},
{3,3,260},{3,3,260},{3,3,292},{2,3,50},{2,3,50},{3,6,440},{3,5,218},{3,4,330},{3,4,210},{3,5,787},{3,4,475},{3,4,115},{3,4,867},{1,5,772},{2,4,516},{3,6,376},{3,5,154},{3,4,266},{3,4,146},{6,0,723},{2,5,204},{3,4,51},{1,4,478},{3,4,723},{1,4,478},{3,5,209},{3,5,209},{3,5,209},{3,4,209},{3,4,234},{3,4,114},{3,4,114},
{3,3,237},{2,4,195},{3,3,369},{3,5,145},{3,5,145},{3,5,145},{3,4,145},{5,1,170},{3,4,50},{3,4,50},{3,3,173},{7,1,170},{3,3,173},{4,4,200},{3,5,10},{4,4,101},{3,4,2},{4,4,200},{7,2,200},{3,4,2},{0,4,442},{7,2,200},{0,4,442},{3,0,208},{3,0,208},{3,0,208},{3,0,208},{3,3,100},{3,3,100},{3,3,100},{3,3,68},{2,4,74},
{2,4,74},{3,6,692},{3,5,542},{3,4,906},{3,4,570},{3,6,780},{3,5,333},{3,4,133},{3,4,309},{2,5,804},{2,4,228},{4,5,401},{4,4,395},{4,4,234},{4,4,258},{4,4,723},{3,5,332},{3,4,132},{2,4,212},{7,2,723},{2,4,212},{3,6,467},{3,6,467},{3,6,467},{3,4,506},{3,5,165},{3,4,69},{3,4,69},{3,4,245},{1,5,324},{2,4,164},{4,4,170},
{4,4,170},{4,4,170},{4,4,194},{6,0,164},{3,4,68},{3,4,68},{2,4,148},{3,4,164},{2,4,148},{5,3,202},{3,5,100},{4,4,65},{4,4,89},{5,3,202},{6,3,202},{4,4,89},{0,4,208},{6,3,202},{0,4,208},{3,0,442},{3,0,442},{3,0,442},{3,0,442},{3,4,5},{3,4,5},{3,4,5},{3,4,101},{2,4,20},{2,4,20},{4,5,882},{4,5,690},{4,4,955},
{4,4,915},{3,6,844},{3,5,317},{3,5,445},{3,4,357},{1,6,772},{3,4,376},{4,5,257},{4,5,65},{4,4,330},{4,4,290},{5,3,723},{3,5,236},{3,5,364},{3,4,276},{6,3,723},{3,4,276},{4,5,686},{4,5,686},{4,5,686},{4,4,659},{3,6,315},{3,5,121},{3,5,121},{3,4,101},{2,5,171},{3,4,120},{4,5,61},{4,5,61},{4,5,61},{4,4,34},{5,2,170},
{3,5,40},{3,5,40},{3,4,20},{7,2,170},{3,4,20},{6,2,200},{4,5,40},{4,4,305},{4,4,265},{6,2,200},{5,4,200},{4,4,265},{0,4,272},{5,4,200},{0,4,272},{4,0,650},{4,0,650},{4,0,650},{4,0,650},{3,5,85},{3,5,85},{3,5,85},{3,4,85},{3,4,104},{3,4,104},{4,6,498},{4,5,402},{4,5,402},{4,5,498},{3,7,1017},{3,6,700},{3,5,429},
{3,4,917},{2,6,844},{3,4,632},{4,6,209},{4,5,113},{4,5,113},{4,5,209},{6,2,728},{3,6,411},{3,5,140},{3,4,628},{5,4,728},{3,4,628},{4,5,302},{4,5,302},{4,5,302},{4,5,398},{3,6,459},{3,5,329},{3,5,329},{3,4,341},{2,5,283},{3,4,56},{4,5,13},{4,5,13},{4,5,13},{4,5,109},{6,1,170},{3,5,40},{3,5,40},{3,4,52},{6,3,170},
{3,4,52},{7,1,200},{4,5,104},{4,5,104},{3,5,104},{7,1,200},{4,5,200},{3,5,104},{0,4,592},{4,5,200},{0,4,592},{4,0,298},{4,0,298},{4,0,298},{4,0,298},{4,4,298},{4,4,298},{4,4,298},{3,4,325},{3,4,40},{3,4,40},{4,7,452},{4,6,222},{4,5,306},{4,5,210},{4,6,809},{4,5,473},{4,5,153},{4,5,969},{2,6,748},{3,5,588},{4,7,371},
{4,6,141},{4,5,225},{4,5,129},{7,1,728},{3,6,203},{4,5,72},{2,5,513},{4,5,728},{2,5,513},{4,6,206},{4,6,206},{4,6,206},{4,5,206},{4,5,245},{4,5,149},{4,5,149},{4,4,226},{3,5,200},{4,4,370},{4,6,125},{4,6,125},{4,6,125},{4,5,125},{7,0,164},{4,5,68},{4,5,68},{4,4,145},{3,5,164},{4,4,145},{5,5,202},{4,6,20},{4,5,104},
{4,5,8},{5,5,202},{3,6,202},{4,5,8},{0,5,488},{3,6,202},{0,5,488},{4,0,202},{4,0,202},{4,0,202},{4,0,202},{4,4,106},{4,4,106},{4,4,106},{4,4,82},{3,5,100},{3,5,100},{4,7,632},{4,6,474},{4,5,810},{4,5,498},{4,7,808},{4,6,371},{4,5,99},{4,5,339},{3,6,828},{3,5,228},{5,6,446},{5,5,396},{5,5,249},{5,5,281},{5,5,728},
{4,6,371},{4,5,99},{3,5,219},{3,6,728},{3,5,219},{4,7,436},{4,7,436},{4,7,436},{4,5,449},{4,6,170},{4,5,50},{4,5,50},{4,5,290},{2,6,291},{3,5,179},{5,5,200},{5,5,200},{5,5,200},{5,5,232},{7,1,170},{4,5,50},{4,5,50},{3,5,170},{7,3,170},{3,5,170},{6,4,200},{4,6,74},{5,5,53},{5,5,85},{6,4,200},{7,4,200},{5,5,85},
{0,5,218},{7,4,200},{0,5,218},{4,0,400},{4,0,400},{4,0,400},{4,0,400},{4,5,1},{4,5,1},{4,5,1},{4,4,100},{3,5,10},{3,5,10},{5,6,930},{5,6,762},{5,5,973},{5,5,941},{4,7,808},{4,6,291},{4,6,483},{4,5,323},{2,7,764},{4,5,380},{5,6,254},{5,6,86},{5,5,297},{5,5,265},{6,4,728},{4,6,227},{5,5,373},{4,5,259},{7,4,728},
{4,5,259},{5,5,748},{5,5,748},{5,5,748},{5,5,716},{4,6,298},{4,6,122},{4,6,122},{4,5,98},{3,6,184},{4,5,155},{5,5,72},{5,5,72},{5,5,72},{5,5,40},{6,3,164},{4,6,58},{4,6,58},{4,5,34},{6,4,164},{4,5,34},{7,3,202},{5,6,50},{5,5,261},{5,5,229},{7,3,202},{6,5,202},{5,5,229},{0,5,250},{6,5,202},{0,5,250},{5,0,712},
{5,0,712},{5,0,712},{5,0,712},{4,6,73},{4,6,73},{4,6,73},{4,5,73},{4,5,130},{4,5,130},{5,7,530},{5,6,410},{5,6,450},{5,6,570},{5,6,1055},{4,7,720},{4,6,403},{4,5,819},{3,7,892},{4,5,572},{5,7,206},{5,6,86},{5,6,126},{5,6,246},{5,6,731},{3,7,387},{4,6,147},{4,5,563},{4,6,731},{4,5,563},{5,6,329},{5,6,329},{5,6,329},
{5,5,428},{4,7,420},{4,6,282},{4,6,282},{4,5,290},{3,6,248},{4,5,43},{5,6,5},{5,6,5},{5,6,5},{5,5,104},{7,2,164},{4,6,26},{4,6,26},{4,5,34},{5,5,164},{4,5,34},{5,7,202},{5,6,82},{5,6,122},{4,6,122},{5,7,202},{5,6,202},{4,6,122},{0,5,538},{5,6,202},{0,5,538},{5,0,328},{5,0,328},{5,0,328},{5,0,328},{4,6,281},
{4,6,281},{4,6,281},{4,5,281},{4,5,34},{4,5,34},{5,7,498},{5,7,234},{5,6,290},{5,6,218},{5,7,839},{5,6,479},{5,6,199},{5,6,1079},{3,7,732},{4,6,668},{5,7,398},{5,7,134},{5,6,190},{5,6,118},{6,5,731},{4,7,208},{5,6,99},{3,6,554},{3,7,731},{3,6,554},{5,7,209},{5,7,209},{5,7,209},{5,6,209},{5,6,262},{5,6,190},{5,6,190},
{5,5,221},{4,6,211},{4,5,315},{5,7,109},{5,7,109},{5,7,109},{5,6,109},{5,6,162},{5,6,90},{5,6,90},{5,5,121},{4,6,162},{5,5,121},{7,4,208},{5,7,34},{5,6,90},{5,6,18},{7,4,208},{7,5,208},{5,6,18},{0,6,538},{7,5,208},{0,6,538},{5,0,200},{5,0,200},{5,0,200},{5,0,200},{5,5,116},{5,5,116},{5,5,116},{5,5,100},{4,6,130},
{4,6,130},{5,7,1074},{5,7,414},{5,6,722},{5,6,434},{5,7,857},{5,7,417},{5,6,73},{5,6,377},{4,7,860},{4,6,236},{6,7,497},{6,6,403},{6,6,270},{6,6,310},{7,4,731},{4,7,379},{5,6,72},{4,6,232},{7,5,731},{4,6,232},{5,7,398},{5,7,398},{5,7,398},{5,6,398},{5,7,181},{5,6,37},{5,6,37},{5,6,341},{3,7,264},{4,6,200},{6,6,234},
{6,6,234},{6,6,234},{6,6,274},{6,5,164},{5,6,36},{5,6,36},{4,6,196},{3,7,164},{4,6,196},{7,5,202},{5,7,52},{6,6,45},{5,6,72},{7,5,202},{6,6,218},{5,6,72},{0,6,232},{6,6,218},{0,6,232},{5,0,362},{5,0,362},{5,0,362},{5,0,362},{5,6,1},{5,6,1},{5,6,1},{5,5,82},{4,6,4},{4,6,4},{6,7,986},{6,7,842},{6,6,999},
{6,6,975},{5,7,1417},{5,7,273},{5,6,505},{5,6,297},{4,7,828},{5,6,392},{6,7,257},{6,7,113},{6,6,270},{6,6,246},{7,5,739},{5,7,224},{6,6,366},{5,6,248},{6,6,731},{5,6,248},{6,6,803},{6,6,803},{6,6,803},{6,6,779},{5,7,261},{5,7,129},{5,7,129},{5,6,101},{4,7,203},{5,6,196},{6,6,74},{6,6,74},{6,6,74},{6,6,50},{7,4,162},
{5,7,80},{5,7,80},{5,6,52},{7,5,162},{5,6,52},{6,7,208},{6,7,64},{6,6,221},{6,6,197},{6,7,208},{7,6,208},{6,6,197},{0,6,232},{7,6,208},{0,6,232},{5,0,778},{5,0,778},{5,0,778},{5,0,778},{5,7,65},{5,7,65},{5,7,65},{5,6,65},{5,6,160},{5,6,160},{6,7,762},{6,7,426},{6,7,506},{6,7,650},{6,7,1085},{5,7,641},{5,7,385},
{5,6,729},{5,7,980},{5,6,520},{6,7,401},{6,7,65},{6,7,145},{6,7,289},{6,7,724},{5,7,416},{5,7,160},{5,6,504},{5,7,724},{5,6,504},{6,7,362},{6,7,362},{6,7,362},{6,6,443},{6,6,555},{5,7,241},{5,7,241},{5,6,245},{4,7,219},{5,6,36},{6,7,1},{6,7,1},{6,7,1},{6,6,82},{7,5,194},{5,7,16},{5,7,16},{5,6,20},{6,6,162},
{5,6,20},{7,6,208},{6,7,64},{6,7,144},{5,7,144},{7,6,208},{6,7,208},{5,7,144},{0,6,488},{6,7,208},{0,6,488},{6,0,362},{6,0,362},{6,0,362},{6,0,362},{5,7,241},{5,7,241},{5,7,241},{5,6,241},{5,6,32},{5,6,32},{6,7,1050},{6,7,522},{6,7,282},{6,7,234},{6,7,1069},{6,7,493},{6,7,253},{6,6,1122},{5,7,1012},{5,7,756},{7,7,843},
{6,7,401},{6,7,161},{6,7,113},{7,6,724},{6,7,372},{6,7,132},{4,7,601},{6,7,756},{4,7,601},{6,7,266},{6,7,266},{6,7,266},{6,7,218},{6,7,285},{6,7,237},{6,7,237},{6,6,222},{5,7,228},{5,6,260},{6,7,145},{6,7,145},{6,7,145},{6,7,97},{6,7,164},{6,7,116},{6,7,116},{6,6,101},{5,7,164},{6,6,101},{7,7,218},{7,7,178},{6,7,80},
{6,7,32},{7,7,218},{6,7,272},{6,7,32},{0,7,592},{6,7,272},{0,7,592},{6,0,202},{6,0,202},{6,0,202},{6,0,202},{6,6,130},{6,6,130},{6,6,130},{6,6,122},{5,6,160},{5,6,160},{6,7,1641},{6,7,1017},{6,7,617},{6,7,353},{6,7,1318},{6,7,430},{6,7,30},{6,7,398},{6,7,1035},{5,7,227},{7,7,393},{7,7,321},{7,7,272},{7,7,320},{7,7,621},
{6,7,426},{6,7,26},{5,7,226},{6,7,594},{5,7,226},{6,7,617},{6,7,617},{6,7,617},{6,7,353},{6,7,294},{6,7,30},{6,7,30},{6,7,398},{5,7,291},{5,7,227},{7,7,272},{7,7,272},{7,7,272},{7,7,320},{7,6,162},{6,7,26},{6,7,26},{5,7,226},{7,6,194},{5,7,226},{7,7,137},{7,7,65},{7,7,16},{6,7,25},{7,7,137},{7,7,113},{6,7,25},
{0,7,225},{7,7,113},{0,7,225},{6,0,328},{6,0,328},{6,0,328},{6,0,328},{6,7,5},{6,7,5},{6,7,5},{6,6,68},{5,7,2},{5,7,2},{7,7,985},{7,7,913},{7,7,864},{7,7,848},{7,7,1117},{6,7,654},{6,7,254},{6,7,110},{6,7,763},{5,7,179},{7,7,201},{7,7,129},{7,7,80},{7,7,64},{7,7,333},{7,7,245},{7,7,196},{6,7,74},{7,7,373},
{6,7,74},{7,7,864},{7,7,864},{7,7,864},{7,7,848},{6,7,710},{6,7,254},{6,7,254},{6,7,110},{6,7,363},{5,7,179},{7,7,80},{7,7,80},{7,7,80},{7,7,64},{7,7,212},{7,7,196},{7,7,196},{6,7,74},{6,7,194},{6,7,74},{7,7,137},{7,7,65},{7,7,16},{7,7,0},{7,7,137},{7,7,49},{7,7,0},{0,7,49},{7,7,49},{0,7,49},{6,0,712},
{6,0,712},{6,0,712},{6,0,712},{6,7,85},{6,7,85},{6,7,85},{6,7,61},{5,7,130},{5,7,130},{7,7,642},{7,7,570},{7,7,521},{7,7,449},{7,7,678},{7,7,534},{7,7,485},{6,7,205},{6,7,834},{6,7,34},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,278},{7,7,134},{7,7,85},{6,7,9},{7,7,198},{6,7,9},{7,7,521},{7,7,521},{7,7,521},
{7,7,449},{7,7,557},{7,7,485},{7,7,485},{6,7,205},{6,7,434},{6,7,34},{7,7,121},{7,7,121},{7,7,121},{7,7,49},{7,7,157},{7,7,85},{7,7,85},{6,7,9},{7,7,149},{6,7,9},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,400},{7,0,400},{7,0,400},{7,0,400},{6,7,421},
{6,7,421},{6,7,421},{6,7,205},{6,7,34},{6,7,34},{7,7,450},{7,7,378},{7,7,329},{7,7,257},{7,7,390},{7,7,246},{7,7,197},{7,7,148},{7,7,426},{6,7,130},{7,7,306},{7,7,234},{7,7,185},{7,7,113},{7,7,246},{7,7,102},{7,7,53},{7,7,4},{7,7,102},{7,7,4},{7,7,329},{7,7,329},{7,7,329},{7,7,257},{7,7,269},{7,7,197},{7,7,197},
{7,7,148},{7,7,377},{6,7,130},{7,7,185},{7,7,185},{7,7,185},{7,7,113},{7,7,125},{7,7,53},{7,7,53},{7,7,4},{7,7,53},{7,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{7,7,148},{7,7,148},{7,7,148},{7,7,148},{6,7,130},
{6,7,130},{0,2,445},{0,1,157},{0,1,117},{0,1,405},{0,1,926},{0,1,806},{0,0,670},{0,0,741},{0,0,1169},{0,0,777},{0,2,445},{0,1,157},{0,1,117},{0,1,405},{0,1,926},{0,1,806},{0,0,670},{0,0,741},{1,0,990},{0,0,741},{0,1,36},{0,1,36},{0,1,36},{0,0,9},{0,0,85},{0,0,45},{0,0,45},{0,0,116},{0,0,145},{0,0,152},{0,1,36},
{0,1,36},{0,1,36},{0,0,9},{0,0,85},{0,0,45},{0,0,45},{0,0,116},{0,0,109},{0,0,116},{1,0,421},{0,1,157},{0,1,117},{0,1,405},{1,0,421},{0,1,445},{0,1,405},{0,0,641},{0,1,445},{0,0,641},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,2,461},{0,2,109},{0,1,5},
{0,1,101},{0,1,1326},{0,1,822},{0,1,462},{0,0,1205},{0,1,1783},{0,0,1241},{0,2,461},{0,2,109},{0,1,5},{0,1,101},{1,0,1294},{0,1,822},{0,1,462},{0,0,1205},{1,0,1262},{0,0,1205},{0,1,4},{0,1,4},{0,1,4},{0,1,100},{0,0,261},{0,0,157},{0,0,157},{0,0,116},{0,0,257},{0,0,152},{0,1,4},{0,1,4},{0,1,4},{0,1,100},{0,0,261},
{0,0,157},{0,0,157},{0,0,116},{0,0,221},{0,0,116},{1,1,461},{0,2,109},{0,1,5},{0,1,101},{1,1,461},{2,0,421},{0,1,101},{0,1,901},{2,0,421},{0,1,901},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,3,430},{0,2,38},{0,1,158},{0,1,62},{0,2,1517},{0,1,989},{0,1,309},
{0,1,1317},{0,1,1878},{0,1,1678},{0,3,430},{0,2,38},{0,1,158},{0,1,62},{0,2,1517},{0,1,989},{0,1,309},{0,1,1317},{0,1,1517},{0,1,1317},{0,2,13},{0,2,13},{0,2,13},{0,1,13},{0,1,356},{0,1,260},{0,1,260},{0,0,193},{0,0,446},{0,0,229},{0,2,13},{0,2,13},{0,2,13},{0,1,13},{0,1,356},{0,1,260},{0,1,260},{0,0,193},{0,0,410},
{0,0,193},{0,3,421},{0,2,29},{0,1,149},{0,1,53},{0,3,421},{1,1,421},{0,1,53},{0,1,533},{1,1,421},{0,1,533},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,49},{0,0,85},{0,0,85},{0,4,602},{0,3,234},{0,2,518},{0,1,382},{0,3,1622},{0,2,825},{0,1,325},{0,1,821},{0,1,2022},{0,1,1182},{0,4,602},
{0,3,234},{0,2,518},{0,1,382},{1,1,1526},{0,2,825},{0,1,325},{0,1,821},{2,0,1526},{0,1,821},{0,2,157},{0,2,157},{0,2,157},{0,1,157},{0,1,388},{0,1,100},{0,1,100},{0,0,401},{0,0,766},{0,0,437},{0,2,157},{0,2,157},{0,2,157},{0,1,157},{1,0,356},{0,1,100},{0,1,100},{0,0,401},{1,0,340},{0,0,401},{1,2,425},{0,3,113},{1,1,234},
{0,1,261},{1,2,425},{0,2,425},{0,1,261},{0,1,421},{0,2,425},{0,1,421},{0,0,121},{0,0,121},{0,0,121},{0,0,121},{0,0,25},{0,0,25},{0,0,25},{0,0,1},{0,0,37},{0,0,37},{0,4,845},{0,3,405},{0,2,725},{0,2,549},{0,3,1541},{0,2,654},{0,2,270},{0,1,722},{0,2,2583},{0,1,1083},{1,3,657},{1,2,345},{1,2,345},{0,2,549},{2,0,1517},
{0,2,654},{0,2,270},{0,1,722},{3,0,1517},{0,1,722},{0,3,404},{0,3,404},{0,3,404},{0,2,449},{0,2,346},{0,2,170},{0,2,170},{0,1,146},{0,1,707},{0,1,507},{1,1,232},{1,1,232},{1,1,232},{1,1,200},{0,2,346},{0,2,170},{0,2,170},{0,1,146},{0,1,346},{0,1,146},{2,1,421},{0,3,5},{1,2,149},{0,2,149},{2,1,421},{4,0,421},{0,2,149},
{0,1,601},{4,0,421},{0,1,601},{0,0,400},{0,0,400},{0,0,400},{0,0,400},{0,1,1},{0,1,1},{0,1,1},{0,0,100},{0,0,136},{0,0,136},{0,5,1209},{0,4,937},{1,2,1197},{0,2,789},{0,4,1526},{0,3,737},{0,2,14},{0,1,1042},{0,2,2487},{0,1,1403},{1,3,481},{1,3,173},{1,2,41},{1,2,161},{1,2,1526},{0,3,737},{0,2,14},{0,1,1042},{2,1,1526},
{0,1,1042},{0,4,793},{0,4,793},{0,4,793},{0,2,785},{0,3,356},{0,2,10},{0,2,10},{0,1,18},{0,1,899},{0,1,379},{1,2,37},{1,2,37},{1,2,37},{1,1,136},{1,1,340},{0,2,10},{0,2,10},{0,1,18},{1,1,356},{0,1,18},{3,0,425},{1,3,137},{1,2,5},{0,2,5},{3,0,425},{3,1,425},{0,2,5},{0,2,965},{3,1,425},{0,2,965},{0,0,784},
{0,0,784},{0,0,784},{0,0,784},{0,2,9},{0,2,9},{0,2,9},{0,1,9},{0,0,360},{0,0,360},{1,4,1158},{1,3,758},{1,2,850},{1,2,778},{0,4,1671},{0,3,546},{0,2,191},{0,2,903},{0,2,2390},{0,2,1430},{1,4,429},{1,3,29},{1,2,121},{1,2,49},{2,1,1526},{0,3,497},{0,2,142},{0,2,854},{4,0,1526},{0,2,854},{1,3,742},{1,3,742},{1,3,742},
{1,2,742},{0,3,437},{0,2,155},{0,2,155},{0,1,195},{0,2,946},{0,1,290},{1,3,13},{1,3,13},{1,3,13},{1,2,13},{2,0,340},{0,2,106},{0,2,106},{0,1,146},{3,0,340},{0,1,146},{1,4,425},{1,3,25},{1,2,117},{1,2,45},{1,4,425},{2,2,425},{1,2,45},{0,2,565},{2,2,425},{0,2,565},{1,0,733},{1,0,733},{1,0,733},{1,0,733},{0,2,74},
{0,2,74},{0,2,74},{0,1,74},{0,1,169},{0,1,169},{1,4,966},{1,4,606},{1,3,886},{1,2,682},{0,5,1742},{0,3,866},{0,3,641},{0,2,727},{0,3,2382},{0,2,758},{1,4,605},{1,4,245},{1,3,525},{1,2,321},{3,0,1517},{0,3,641},{1,2,302},{0,2,502},{3,1,1517},{0,2,502},{1,3,486},{1,3,486},{1,3,486},{1,2,486},{0,4,563},{0,3,241},{0,3,241},
{0,2,531},{0,2,626},{0,1,546},{1,3,125},{1,3,125},{1,3,125},{1,2,125},{0,4,338},{0,3,16},{0,3,16},{0,2,306},{2,1,338},{0,2,306},{3,1,433},{1,4,145},{2,2,212},{1,2,221},{3,1,433},{6,0,433},{1,2,221},{0,2,421},{6,0,433},{0,2,421},{1,0,461},{1,0,461},{1,0,461},{1,0,461},{0,3,225},{0,3,225},{0,3,225},{0,2,306},{0,1,185},
{0,1,185},{1,5,894},{1,4,462},{1,3,778},{1,3,646},{1,4,1626},{1,3,749},{1,3,429},{1,2,809},{0,3,2022},{0,2,614},{2,4,706},{1,4,362},{2,3,410},{1,3,546},{3,1,1526},{0,4,441},{0,3,227},{0,2,565},{4,1,1526},{0,2,565},{1,4,462},{1,4,462},{1,4,462},{1,3,525},{1,3,440},{1,2,296},{1,2,296},{1,2,280},{0,2,725},{0,2,85},{2,2,250},
{2,2,250},{2,2,250},{2,2,226},{1,3,340},{0,3,106},{0,3,106},{0,2,36},{1,2,340},{0,2,36},{3,2,425},{1,4,1},{2,3,185},{0,3,146},{3,2,425},{5,1,425},{0,3,146},{0,2,565},{5,1,425},{0,2,565},{1,0,461},{1,0,461},{1,0,461},{1,0,461},{1,2,100},{1,2,100},{1,2,100},{1,1,181},{0,2,49},{0,2,49},{1,6,1166},{1,4,878},{1,3,1226},
{1,3,742},{1,5,1545},{1,4,798},{1,3,29},{1,2,985},{0,3,2246},{0,2,1030},{2,4,482},{2,4,218},{2,3,58},{2,3,202},{2,3,1517},{0,4,521},{1,3,25},{1,2,981},{6,0,1517},{1,2,981},{1,5,749},{1,5,749},{1,5,749},{1,3,733},{1,4,374},{1,3,20},{1,3,20},{1,2,24},{0,3,482},{0,2,69},{2,3,49},{2,3,49},{2,3,49},{2,2,130},{2,2,338},
{1,3,16},{1,3,16},{1,2,20},{5,0,338},{1,2,20},{4,1,433},{1,4,145},{2,3,9},{1,3,9},{4,1,433},{7,0,433},{1,3,9},{0,2,965},{7,0,433},{0,2,965},{1,0,733},{1,0,733},{1,0,733},{1,0,733},{1,3,20},{1,3,20},{1,3,20},{1,2,20},{0,2,65},{0,2,65},{2,5,1218},{2,4,810},{2,3,874},{2,3,826},{1,5,1625},{1,4,542},{1,3,141},
{1,3,961},{0,4,1806},{0,3,642},{2,5,434},{2,4,26},{2,3,90},{2,3,42},{3,2,1517},{1,4,506},{1,3,105},{0,3,626},{5,1,1517},{0,3,626},{2,4,801},{2,4,801},{2,4,801},{2,3,801},{1,4,406},{1,3,116},{1,3,116},{1,2,152},{0,3,482},{1,2,285},{2,4,17},{2,4,17},{2,4,17},{2,3,17},{3,1,338},{1,3,80},{1,3,80},{1,2,116},{4,1,338},
{1,2,116},{3,3,425},{2,4,25},{2,3,89},{2,3,41},{3,3,425},{6,1,425},{2,3,41},{0,3,601},{6,1,425},{0,3,601},{2,0,785},{2,0,785},{2,0,785},{2,0,785},{1,3,52},{1,3,52},{1,3,52},{1,2,52},{0,3,41},{0,3,41},{2,5,962},{2,4,618},{2,3,906},{2,3,666},{1,6,1710},{1,4,798},{1,4,663},{1,3,721},{0,4,1838},{0,3,450},{2,5,562},
{2,4,218},{2,3,506},{2,3,266},{4,1,1514},{0,5,474},{2,3,285},{0,3,434},{4,2,1514},{0,3,434},{2,4,497},{2,4,497},{2,4,497},{2,3,497},{1,5,536},{1,4,222},{1,4,222},{1,3,552},{0,4,469},{0,3,281},{2,4,97},{2,4,97},{2,4,97},{2,3,97},{4,0,340},{1,4,26},{1,4,26},{0,3,265},{3,2,340},{0,3,265},{4,2,425},{2,4,137},{3,3,194},
{2,3,185},{4,2,425},{5,2,425},{2,3,185},{0,3,425},{5,2,425},{0,3,425},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{1,4,197},{1,4,197},{1,4,197},{1,3,296},{0,3,25},{0,3,25},{2,6,870},{2,5,446},{2,4,758},{2,4,670},{2,5,1638},{2,4,771},{2,4,515},{2,3,823},{0,5,1710},{1,3,598},{3,4,737},{2,5,325},{3,4,481},{2,4,549},{5,0,1517},
{1,5,458},{1,4,224},{1,3,534},{3,3,1517},{1,3,534},{2,5,445},{2,5,445},{2,5,445},{2,4,526},{2,4,459},{2,3,291},{2,3,291},{2,3,339},{0,4,370},{1,3,114},{3,3,272},{3,3,272},{3,3,272},{3,3,256},{2,4,338},{1,4,80},{1,4,80},{1,3,50},{7,0,338},{1,3,50},{5,1,425},{2,5,1},{3,4,225},{1,4,160},{5,1,425},{4,3,425},{1,4,160},
{0,3,533},{4,3,425},{0,3,533},{2,0,445},{2,0,445},{2,0,445},{2,0,445},{2,3,122},{2,3,122},{2,3,122},{2,2,185},{1,3,65},{1,3,65},{2,7,1130},{2,5,798},{2,4,1142},{2,4,702},{2,6,1571},{2,4,819},{2,4,51},{2,3,935},{0,5,1614},{1,3,950},{3,5,489},{3,5,269},{3,4,81},{3,4,249},{3,4,1514},{1,5,490},{2,4,42},{2,3,926},{7,1,1514},
{2,3,926},{2,6,710},{2,6,710},{2,6,710},{2,4,686},{2,5,397},{2,4,35},{2,4,35},{2,3,35},{1,4,509},{1,3,50},{3,4,65},{3,4,65},{3,4,65},{3,3,128},{3,3,340},{2,4,26},{2,4,26},{2,3,26},{6,1,340},{2,3,26},{6,0,425},{2,5,113},{3,4,17},{2,4,17},{6,0,425},{3,4,425},{2,4,17},{0,3,901},{3,4,425},{0,3,901},{2,0,685},
{2,0,685},{2,0,685},{2,0,685},{2,4,34},{2,4,34},{2,4,34},{2,3,34},{1,3,49},{1,3,49},{3,6,1286},{3,5,870},{3,4,906},{3,4,882},{2,6,1587},{2,5,546},{2,4,99},{2,4,1027},{1,5,1838},{1,4,702},{3,6,445},{3,5,29},{3,4,65},{3,4,41},{4,3,1514},{2,5,521},{2,4,74},{1,4,677},{6,2,1514},{1,4,677},{3,5,866},{3,5,866},{3,5,866},
{3,4,866},{2,5,381},{2,4,83},{2,4,83},{2,3,115},{0,5,349},{2,3,286},{3,5,25},{3,5,25},{3,5,25},{3,4,25},{4,2,340},{2,4,58},{2,4,58},{2,3,90},{5,2,340},{2,3,90},{4,4,421},{3,5,29},{3,4,65},{3,4,41},{4,4,421},{7,2,421},{3,4,41},{0,4,641},{7,2,421},{0,4,641},{3,0,841},{3,0,841},{3,0,841},{3,0,841},{2,4,34},
{2,4,34},{2,4,34},{2,3,34},{1,4,61},{1,4,61},{3,6,966},{3,5,614},{3,4,874},{3,4,658},{2,7,1686},{2,5,738},{2,4,659},{2,4,723},{0,6,1518},{1,4,446},{3,6,525},{3,5,173},{3,4,433},{3,4,217},{5,2,1517},{1,6,457},{3,4,274},{1,4,437},{5,3,1517},{1,4,437},{3,5,514},{3,5,514},{3,5,514},{3,4,514},{2,6,515},{2,5,209},{2,5,209},
{2,3,579},{1,5,510},{1,4,302},{3,5,73},{3,5,73},{3,5,73},{3,4,73},{5,1,346},{2,5,40},{2,5,40},{3,3,293},{7,1,346},{3,3,293},{5,3,421},{3,5,109},{4,4,180},{3,4,153},{5,3,421},{6,3,421},{3,4,153},{0,4,433},{6,3,421},{0,4,433},{3,0,505},{3,0,505},{3,0,505},{3,0,505},{2,5,173},{2,5,173},{2,5,173},{2,3,290},{1,4,13},
{1,4,13},{3,7,854},{3,6,438},{3,5,746},{3,5,702},{3,6,1658},{3,5,801},{3,5,609},{3,4,845},{1,6,1758},{2,4,590},{3,7,710},{3,6,294},{4,5,558},{3,5,558},{6,1,1514},{2,6,481},{2,5,227},{2,4,509},{4,4,1514},{2,4,509},{3,6,434},{3,6,434},{3,6,434},{3,5,533},{3,5,484},{3,4,292},{3,4,292},{3,4,404},{1,5,357},{2,4,149},{3,6,290},
{3,6,290},{3,6,290},{4,4,290},{6,0,340},{2,5,58},{2,5,58},{2,4,68},{3,4,340},{2,4,68},{6,2,421},{3,6,5},{4,5,269},{2,5,178},{6,2,421},{5,4,421},{2,5,178},{0,4,505},{5,4,421},{0,4,505},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{3,4,148},{3,4,148},{3,4,148},{3,3,193},{2,4,85},{2,4,85},{3,7,1206},{3,6,726},{3,5,1066},
{3,5,670},{3,7,1605},{3,5,785},{3,5,81},{3,4,893},{1,6,1598},{2,4,878},{4,6,502},{4,5,310},{4,5,110},{4,5,302},{7,0,1517},{2,6,465},{3,5,65},{2,4,877},{3,5,1517},{2,4,877},{3,7,677},{3,7,677},{3,7,677},{3,5,645},{3,6,426},{3,5,56},{3,5,56},{3,4,52},{2,5,542},{2,4,37},{4,5,85},{4,5,85},{4,5,85},{4,4,130},{5,2,346},
{3,5,40},{3,5,40},{2,4,36},{7,2,346},{2,4,36},{7,1,421},{3,6,85},{4,5,29},{3,5,29},{7,1,421},{4,5,421},{3,5,29},{0,4,841},{4,5,421},{0,4,841},{3,0,641},{3,0,641},{3,0,641},{3,0,641},{3,4,52},{3,4,52},{3,4,52},{3,4,52},{2,4,37},{2,4,37},{4,7,1362},{4,6,938},{4,5,946},{4,5,946},{3,7,1557},{3,6,558},{3,5,65},
{3,5,1101},{0,7,1662},{2,5,770},{4,7,462},{4,6,38},{4,5,46},{4,5,46},{5,4,1517},{3,6,542},{3,5,49},{1,5,721},{7,3,1517},{1,5,721},{4,5,937},{4,5,937},{4,5,937},{4,5,937},{3,6,362},{3,5,56},{3,5,56},{3,4,84},{1,6,350},{3,4,293},{4,5,37},{4,5,37},{4,5,37},{4,5,37},{6,1,346},{3,5,40},{3,5,40},{3,4,68},{6,3,346},
{3,4,68},{5,5,421},{4,6,37},{4,5,45},{3,5,45},{5,5,421},{3,6,421},{3,5,45},{0,5,685},{3,6,421},{0,5,685},{4,0,901},{4,0,901},{4,0,901},{4,0,901},{3,5,20},{3,5,20},{3,5,20},{3,4,20},{2,5,85},{2,5,85},{4,7,978},{4,6,618},{4,5,850},{4,5,658},{3,7,2021},{3,6,686},{3,5,561},{3,5,733},{1,7,1530},{2,5,450},{4,7,494},
{4,6,134},{4,5,366},{4,5,174},{6,3,1526},{2,7,446},{4,5,269},{2,5,446},{6,4,1526},{2,5,446},{4,6,537},{4,6,537},{4,6,537},{4,5,537},{3,7,500},{3,6,202},{3,6,202},{3,4,500},{1,6,510},{2,5,329},{4,6,53},{4,6,53},{4,6,53},{4,5,53},{7,0,340},{3,6,58},{3,6,58},{4,4,265},{3,5,340},{4,4,265},{6,4,421},{4,6,85},{5,5,170},
{4,5,125},{6,4,421},{7,4,421},{4,5,125},{0,5,445},{7,4,421},{0,5,445},{4,0,533},{4,0,533},{4,0,533},{4,0,533},{3,6,153},{3,6,153},{3,6,153},{3,4,244},{2,5,5},{2,5,5},{4,7,1158},{4,7,438},{4,6,742},{4,6,742},{4,7,1686},{4,6,839},{3,6,677},{4,5,875},{1,7,1710},{3,5,590},{5,6,769},{4,7,269},{4,6,573},{4,6,573},{7,2,1517},
{3,7,510},{3,6,236},{3,5,490},{5,5,1517},{3,5,490},{4,7,429},{4,7,429},{4,7,429},{4,5,546},{4,6,515},{4,5,299},{4,5,299},{4,5,475},{2,6,350},{3,5,190},{4,7,260},{4,7,260},{4,7,260},{5,5,328},{7,1,346},{3,6,40},{3,6,40},{3,5,90},{7,3,346},{3,5,90},{7,3,421},{4,7,13},{4,6,317},{3,6,200},{7,3,421},{6,5,421},{3,6,200},
{0,5,481},{6,5,421},{0,5,481},{4,0,425},{4,0,425},{4,0,425},{4,0,425},{4,5,178},{4,5,178},{4,5,178},{4,4,205},{3,5,109},{3,5,109},{4,7,1862},{4,7,662},{4,6,998},{4,6,646},{4,7,1686},{4,6,759},{4,6,119},{4,5,859},{2,7,1590},{3,5,814},{5,7,521},{5,6,305},{5,6,145},{5,6,361},{5,6,1526},{3,7,446},{4,6,94},{3,5,810},{4,6,1526},
{3,5,810},{4,7,637},{4,7,637},{4,7,637},{4,6,610},{4,6,435},{4,6,83},{4,6,83},{4,5,75},{1,7,565},{3,5,30},{5,6,109},{5,6,109},{5,6,109},{5,5,136},{6,3,340},{4,6,58},{4,6,58},{3,5,26},{6,4,340},{3,5,26},{5,7,421},{4,7,61},{5,6,45},{4,6,45},{5,7,421},{5,6,421},{4,6,45},{0,5,785},{5,6,421},{0,5,785},{4,0,601},
{4,0,601},{4,0,601},{4,0,601},{4,5,50},{4,5,50},{4,5,50},{4,5,74},{3,5,29},{3,5,29},{5,7,1498},{5,7,1014},{5,6,994},{5,6,1018},{4,7,2198},{4,7,578},{4,6,39},{4,6,1183},{2,7,1878},{3,6,846},{5,7,537},{5,7,53},{5,6,33},{5,6,57},{7,3,1526},{4,7,569},{4,6,30},{2,6,758},{6,5,1526},{2,6,758},{5,6,990},{5,6,990},{5,6,990},
{5,6,1014},{4,7,349},{4,6,35},{4,6,35},{4,5,59},{2,7,357},{3,5,254},{5,6,29},{5,6,29},{5,6,29},{5,6,53},{7,2,340},{4,6,26},{4,6,26},{4,5,50},{5,5,340},{4,5,50},{6,6,425},{5,7,49},{5,6,29},{4,6,29},{6,6,425},{4,7,425},{4,6,29},{0,6,733},{4,7,425},{0,6,733},{5,0,965},{5,0,965},{5,0,965},{5,0,965},{4,6,10},
{4,6,10},{4,6,10},{4,5,10},{3,6,113},{3,6,113},{5,7,1466},{5,7,630},{5,6,834},{5,6,666},{5,7,2055},{4,7,642},{4,6,471},{4,6,751},{3,7,1766},{3,6,462},{5,7,937},{5,7,101},{5,6,305},{5,6,137},{5,7,1526},{4,7,521},{5,6,270},{3,6,461},{5,6,1526},{3,6,461},{5,7,566},{5,7,566},{5,7,566},{5,6,566},{4,7,621},{4,7,201},{4,7,201},
{4,5,427},{2,7,469},{3,6,362},{5,7,37},{5,7,37},{5,7,37},{5,6,37},{5,6,338},{4,7,80},{4,7,80},{5,5,241},{4,6,338},{5,5,241},{7,5,425},{5,7,65},{6,6,164},{5,6,101},{7,5,425},{6,6,433},{5,6,101},{0,6,461},{6,6,433},{0,6,461},{5,0,565},{5,0,565},{5,0,565},{5,0,565},{4,7,137},{4,7,137},{4,7,137},{4,5,202},{3,6,1},
{3,6,1},{5,7,2042},{5,7,810},{5,7,746},{5,7,790},{5,7,2073},{5,7,885},{4,7,651},{4,6,877},{4,7,2102},{4,6,598},{6,7,794},{6,7,530},{5,7,550},{5,7,594},{6,6,1526},{5,7,689},{4,7,251},{4,6,477},{6,6,1526},{4,6,477},{5,7,521},{5,7,521},{5,7,521},{5,6,521},{5,7,552},{5,6,312},{5,6,312},{4,6,516},{3,7,349},{4,6,237},{5,7,325},
{5,7,325},{5,7,325},{5,6,325},{6,5,340},{4,7,26},{4,7,26},{4,6,116},{3,7,340},{4,6,116},{6,7,433},{6,7,169},{5,7,325},{4,7,226},{6,7,433},{7,6,425},{4,7,226},{0,6,461},{7,6,425},{0,6,461},{5,0,421},{5,0,421},{5,0,421},{5,0,421},{5,6,212},{5,6,212},{5,6,212},{5,5,221},{4,6,137},{4,6,137},{6,7,2362},{5,7,1514},{5,7,938},
{5,7,630},{5,7,2633},{5,7,741},{5,7,165},{5,6,833},{4,7,2070},{4,6,758},{6,7,762},{6,7,306},{6,7,186},{6,7,426},{7,5,1526},{5,7,705},{5,7,129},{4,6,749},{5,7,1541},{4,6,749},{5,7,889},{5,7,889},{5,7,889},{5,7,581},{5,7,424},{5,7,116},{5,7,116},{5,6,104},{3,7,525},{4,6,29},{6,7,137},{6,7,137},{6,7,137},{6,6,146},{7,4,338},
{5,7,80},{5,7,80},{4,6,20},{7,5,338},{4,6,20},{7,6,433},{6,7,185},{6,7,65},{5,7,65},{7,6,433},{6,7,425},{5,7,65},{0,6,733},{6,7,425},{0,6,733},{5,0,565},{5,0,565},{5,0,565},{5,0,565},{5,6,52},{5,6,52},{5,6,52},{5,6,100},{4,6,25},{4,6,25},{6,7,2073},{6,7,1449},{6,7,1049},{5,7,981},{6,7,2548},{5,7,1044},{5,7,20},
{5,6,1196},{5,7,2365},{4,7,929},{6,7,1049},{6,7,425},{6,7,25},{6,7,73},{7,6,1492},{6,7,948},{5,7,16},{3,7,800},{7,6,1460},{3,7,800},{6,7,1049},{6,7,1049},{6,7,1049},{5,7,981},{5,7,680},{5,7,20},{5,7,20},{5,6,40},{4,7,434},{4,6,205},{6,7,25},{6,7,25},{6,7,25},{6,7,73},{7,5,370},{5,7,16},{5,7,16},{5,6,36},{6,6,338},
{5,6,36},{7,7,410},{7,7,338},{6,7,16},{5,7,16},{7,7,410},{6,7,464},{5,7,16},{0,7,784},{6,7,464},{0,7,784},{5,0,965},{5,0,965},{5,0,965},{5,0,965},{5,7,4},{5,7,4},{5,7,4},{5,6,4},{4,7,145},{4,7,145},{6,7,1769},{6,7,1145},{6,7,745},{6,7,601},{6,7,1940},{6,7,1172},{5,7,308},{5,7,696},{5,7,1805},{4,7,401},{7,7,1043},
{6,7,569},{6,7,169},{6,7,25},{7,6,1076},{6,7,596},{6,7,196},{4,7,401},{6,7,1076},{4,7,401},{6,7,745},{6,7,745},{6,7,745},{6,7,601},{6,7,916},{5,7,308},{5,7,308},{5,6,360},{4,7,626},{5,6,341},{6,7,169},{6,7,169},{6,7,169},{6,7,25},{6,7,340},{6,7,196},{6,7,196},{6,6,221},{5,7,340},{6,6,221},{7,7,202},{7,7,130},{7,7,81},
{6,7,0},{7,7,202},{7,7,218},{6,7,0},{0,7,400},{7,7,218},{0,7,400},{6,0,601},{6,0,601},{6,0,601},{6,0,601},{5,7,164},{5,7,164},{5,7,164},{5,6,164},{4,7,1},{4,7,1},{6,7,1886},{6,7,1262},{6,7,862},{6,7,502},{6,7,1715},{6,7,731},{6,7,331},{5,7,507},{5,7,1634},{4,7,266},{7,7,521},{7,7,449},{7,7,400},{6,7,277},{7,7,797},
{6,7,506},{6,7,106},{5,7,146},{6,7,770},{5,7,146},{6,7,862},{6,7,862},{6,7,862},{6,7,502},{6,7,691},{6,7,331},{6,7,331},{5,7,507},{5,7,610},{4,7,266},{7,7,400},{7,7,400},{7,7,400},{6,7,277},{7,6,338},{6,7,106},{6,7,106},{5,7,146},{7,6,370},{5,7,146},{7,7,121},{7,7,49},{7,7,0},{7,7,16},{7,7,121},{7,7,65},{7,7,16},
{0,7,121},{7,7,65},{0,7,121},{6,0,421},{6,0,421},{6,0,421},{6,0,421},{6,7,250},{6,7,250},{6,7,250},{6,6,241},{4,7,145},{4,7,145},{7,7,2010},{6,7,1774},{6,7,1374},{6,7,822},{6,7,1923},{6,7,747},{6,7,347},{6,7,139},{6,7,1446},{5,7,34},{7,7,329},{7,7,257},{7,7,208},{7,7,160},{7,7,509},{7,7,389},{6,7,298},{5,7,18},{7,7,549},
{5,7,18},{6,7,1374},{6,7,1374},{6,7,1374},{6,7,822},{6,7,899},{6,7,347},{6,7,347},{6,7,139},{5,7,866},{5,7,34},{7,7,208},{7,7,208},{7,7,208},{7,7,160},{7,7,388},{6,7,298},{6,7,298},{5,7,18},{6,7,370},{5,7,18},{7,7,185},{7,7,113},{7,7,64},{7,7,16},{7,7,185},{7,7,65},{7,7,16},{0,7,9},{7,7,65},{0,7,9},{6,0,533},
{6,0,533},{6,0,533},{6,0,533},{6,7,58},{6,7,58},{6,7,58},{6,7,130},{5,7,25},{5,7,25},{7,7,1347},{7,7,1275},{7,7,1226},{7,7,1154},{7,7,1431},{6,7,922},{6,7,522},{6,7,2},{6,7,1125},{5,7,137},{7,7,258},{7,7,186},{7,7,137},{7,7,65},{7,7,342},{7,7,198},{7,7,149},{6,7,1},{7,7,294},{6,7,1},{7,7,1226},{7,7,1226},{7,7,1226},
{7,7,1154},{6,7,1146},{6,7,522},{6,7,522},{6,7,2},{6,7,725},{5,7,137},{7,7,137},{7,7,137},{7,7,137},{7,7,65},{7,7,221},{7,7,149},{7,7,149},{6,7,1},{7,7,245},{6,7,1},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,901},{6,0,901},{6,0,901},{6,0,901},{6,7,122},
{6,7,122},{6,7,122},{6,7,2},{5,7,137},{5,7,137},{7,7,883},{7,7,811},{7,7,762},{7,7,690},{7,7,871},{7,7,727},{7,7,678},{6,7,130},{6,7,949},{6,7,149},{7,7,258},{7,7,186},{7,7,137},{7,7,65},{7,7,246},{7,7,102},{7,7,53},{7,7,36},{7,7,134},{7,7,36},{7,7,762},{7,7,762},{7,7,762},{7,7,690},{7,7,750},{7,7,678},{7,7,678},
{6,7,130},{6,7,549},{6,7,149},{7,7,137},{7,7,137},{7,7,137},{7,7,65},{7,7,125},{7,7,53},{7,7,53},{7,7,36},{7,7,85},{7,7,36},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,641},{7,0,641},{7,0,641},{7,0,641},{6,7,442},{6,7,442},{6,7,442},{6,7,130},{6,7,149},
{6,7,149},{0,3,932},{0,2,218},{0,1,82},{0,1,250},{0,2,1971},{0,1,1371},{0,1,611},{0,0,1950},{0,1,2332},{0,0,1986},{0,3,932},{0,2,218},{0,1,82},{0,1,250},{1,0,1899},{0,1,1371},{0,1,611},{0,0,1950},{1,0,1923},{0,0,1950},{0,1,1},{0,1,1},{0,1,1},{0,0,64},{0,0,180},{0,0,100},{0,0,100},{0,0,101},{0,0,200},{0,0,137},{0,1,1},
{0,1,1},{0,1,1},{0,0,64},{0,0,180},{0,0,100},{0,0,100},{0,0,101},{0,0,164},{0,0,101},{1,1,884},{0,2,218},{0,1,82},{0,1,250},{1,1,884},{2,0,900},{0,1,250},{0,1,1170},{2,0,900},{0,1,1170},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,3,900},{0,2,250},{0,2,314},
{0,1,314},{0,2,2355},{0,1,1755},{0,1,675},{0,1,1875},{0,1,2716},{0,1,2236},{0,3,900},{0,2,250},{0,2,314},{0,1,314},{0,2,2355},{0,1,1755},{0,1,675},{0,1,1875},{0,1,2355},{0,1,1875},{0,2,25},{0,2,25},{0,2,25},{0,1,25},{0,1,410},{0,0,292},{0,0,292},{0,0,181},{0,0,392},{0,0,217},{0,2,25},{0,2,25},{0,2,25},{0,1,25},{0,1,410},
{0,0,292},{0,0,292},{0,0,181},{0,0,356},{0,0,181},{2,0,884},{0,2,250},{0,2,314},{0,1,314},{2,0,884},{3,0,884},{0,1,314},{0,1,914},{3,0,884},{0,1,914},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,4,890},{0,3,104},{0,2,90},{0,2,442},{0,2,2995},{0,2,1851},{0,1,995},
{0,1,1875},{0,1,3356},{0,1,2236},{0,4,890},{0,3,104},{0,2,90},{0,2,442},{1,1,2932},{0,2,1851},{0,1,995},{0,1,1875},{2,0,2900},{0,1,1875},{0,2,9},{0,2,9},{0,2,9},{0,1,9},{0,1,586},{0,1,370},{0,1,370},{0,0,389},{0,0,712},{0,0,425},{0,2,9},{0,2,9},{0,2,9},{0,1,9},{0,1,586},{0,1,370},{0,1,370},{0,0,389},{1,0,650},
{0,0,389},{1,2,890},{0,3,104},{0,2,90},{0,2,442},{1,2,890},{2,1,890},{0,2,442},{0,1,914},{2,1,890},{0,1,914},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,4,990},{0,3,140},{0,2,158},{0,2,158},{0,3,3048},{0,2,1707},{0,2,747},{0,1,1795},{0,1,3916},{0,1,2156},{0,4,990},
{0,3,140},{0,2,158},{0,2,158},{0,3,3048},{0,2,1707},{0,2,747},{0,1,1795},{1,1,3048},{0,1,1795},{0,3,40},{0,3,40},{0,3,40},{0,1,157},{0,1,698},{0,1,290},{0,1,290},{0,0,641},{0,0,1076},{0,0,677},{0,3,40},{0,3,40},{0,3,40},{0,1,157},{1,0,666},{0,1,290},{0,1,290},{0,0,641},{1,0,650},{0,0,641},{2,1,890},{0,3,104},{0,2,122},
{0,2,122},{2,1,890},{4,0,890},{0,2,122},{0,1,1170},{4,0,890},{0,1,1170},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,0,0},{0,0,0},{0,0,0},{0,0,16},{0,0,52},{0,0,52},{0,5,1115},{0,4,265},{0,2,689},{0,2,293},{0,4,3096},{0,3,1731},{0,2,324},{0,1,2020},{0,2,4009},{0,1,2381},{0,5,1115},{0,4,265},{1,2,429},{0,2,293},{1,2,3048},
{0,3,1731},{0,2,324},{0,1,2020},{0,2,3048},{0,1,2020},{0,4,261},{0,4,261},{0,4,261},{0,2,229},{0,2,656},{0,2,260},{0,2,260},{0,1,256},{0,1,1017},{0,1,617},{0,4,261},{0,4,261},{0,4,261},{0,2,229},{0,2,656},{0,2,260},{0,2,260},{0,1,256},{0,1,656},{0,1,256},{3,0,890},{0,4,40},{1,2,68},{0,2,68},{3,0,890},{5,0,890},{0,2,68},
{0,2,1220},{5,0,890},{0,2,1220},{0,0,225},{0,0,225},{0,0,225},{0,0,225},{0,1,16},{0,1,16},{0,1,16},{0,0,25},{0,0,61},{0,0,61},{0,6,1419},{0,4,569},{0,3,1078},{0,2,821},{0,4,3096},{0,3,1395},{0,2,356},{0,2,1832},{0,2,4201},{0,2,2793},{1,4,1011},{1,3,353},{1,2,413},{1,2,413},{2,1,3048},{0,3,1395},{0,2,356},{0,2,1832},{4,0,3048},
{0,2,1832},{0,4,533},{0,4,533},{0,4,533},{0,2,565},{0,3,666},{0,2,100},{0,2,100},{0,1,128},{0,1,1209},{0,1,489},{1,2,157},{1,2,157},{1,2,157},{1,2,157},{1,1,650},{0,2,100},{0,2,100},{0,1,128},{1,1,666},{0,1,128},{3,1,890},{0,4,40},{1,2,292},{0,2,292},{3,1,890},{4,1,890},{0,2,292},{0,2,932},{4,1,890},{0,2,932},{0,0,529},
{0,0,529},{0,0,529},{0,0,529},{0,1,16},{0,1,16},{0,1,16},{0,1,64},{0,0,205},{0,0,205},{0,6,1915},{0,5,1019},{1,3,1269},{0,3,1110},{0,5,3051},{0,3,1443},{0,3,318},{0,2,1384},{0,2,4777},{0,2,2345},{1,5,909},{1,4,131},{1,3,113},{1,3,509},{3,0,3051},{0,3,1443},{0,3,318},{0,2,1384},{3,1,3051},{0,2,1384},{0,5,970},{0,5,970},{0,5,970},
{0,3,1010},{0,3,698},{0,2,196},{0,2,196},{0,1,256},{0,2,1641},{0,1,617},{1,3,13},{1,3,13},{1,3,13},{1,2,13},{2,0,650},{0,2,196},{0,2,196},{0,1,256},{3,0,650},{0,1,256},{2,3,884},{0,5,58},{1,3,104},{0,3,149},{2,3,884},{6,0,884},{0,3,149},{0,2,900},{6,0,884},{0,2,900},{0,0,961},{0,0,961},{0,0,961},{0,0,961},{0,2,0},
{0,2,0},{0,2,0},{0,1,0},{0,1,361},{0,1,361},{1,5,2113},{1,4,1271},{1,3,1285},{1,3,1329},{0,6,3123},{0,4,1208},{0,3,30},{0,2,1320},{0,3,5011},{0,2,2281},{1,5,957},{1,4,115},{1,3,129},{1,3,173},{1,4,3051},{0,4,1208},{0,3,30},{0,2,1320},{2,2,3051},{0,2,1320},{1,4,1190},{1,4,1190},{1,4,1190},{1,2,1281},{0,4,648},{0,3,26},{0,3,26},
{0,2,296},{0,2,1641},{0,1,1001},{1,4,34},{1,4,34},{1,4,34},{1,2,125},{0,4,648},{0,3,26},{0,3,26},{0,2,296},{2,1,648},{0,2,296},{3,2,884},{0,5,26},{1,3,104},{0,3,5},{3,2,884},{5,1,884},{0,3,5},{0,2,1124},{5,1,884},{0,2,1124},{1,0,1181},{1,0,1181},{1,0,1181},{1,0,1181},{0,3,25},{0,3,25},{0,3,25},{0,1,64},{0,1,425},
{0,1,425},{1,6,1864},{1,5,1038},{1,3,1390},{1,3,1038},{0,6,3132},{0,4,1199},{0,3,201},{0,2,1743},{0,3,4924},{0,2,2332},{1,6,1080},{1,5,254},{2,3,458},{1,3,254},{2,3,3051},{0,4,1163},{0,3,165},{0,2,1707},{6,0,3051},{0,2,1707},{1,4,1016},{1,4,1016},{1,4,1016},{1,3,989},{0,5,716},{0,3,152},{0,3,152},{0,2,62},{0,2,1611},{0,2,651},{1,4,232},
{1,4,232},{1,4,232},{1,3,205},{1,3,650},{0,3,116},{0,3,116},{0,2,26},{1,2,650},{0,2,26},{4,1,884},{1,5,58},{2,3,58},{1,3,58},{4,1,884},{4,2,884},{1,3,58},{0,3,1274},{4,2,884},{0,3,1274},{1,0,980},{1,0,980},{1,0,980},{1,0,980},{0,3,52},{0,3,52},{0,3,52},{0,2,61},{0,1,458},{0,1,458},{1,7,1784},{1,5,910},{1,4,1441},
{1,3,1134},{0,7,3247},{0,5,1292},{0,4,567},{0,3,1474},{0,4,4900},{0,3,2178},{2,5,1028},{2,4,362},{2,3,394},{2,3,418},{3,2,3051},{0,5,1096},{1,3,331},{0,3,1278},{5,1,3051},{0,3,1278},{1,5,885},{1,5,885},{1,5,885},{1,3,909},{0,5,876},{0,4,206},{0,4,206},{0,2,254},{0,3,1548},{0,2,347},{2,3,169},{2,3,169},{2,3,169},{2,3,193},{2,2,648},
{0,4,10},{0,4,10},{0,2,58},{5,0,648},{0,2,58},{5,0,884},{1,5,26},{2,3,250},{1,3,250},{5,0,884},{3,3,884},{1,3,250},{0,3,954},{3,3,884},{0,3,954},{1,0,884},{1,0,884},{1,0,884},{1,0,884},{0,4,197},{0,4,197},{0,4,197},{0,2,205},{0,2,298},{0,2,298},{1,7,1976},{1,6,1124},{1,4,1649},{1,4,1229},{1,6,3204},{0,5,1452},{1,4,525},
{0,3,1474},{0,4,4420},{0,3,1474},{2,6,930},{2,5,160},{2,4,138},{2,3,546},{4,1,3060},{0,5,968},{0,4,195},{0,3,990},{4,2,3060},{0,3,990},{1,6,1060},{1,6,1060},{1,6,1060},{1,4,1108},{1,4,824},{1,3,314},{1,3,314},{1,2,370},{0,3,1260},{0,2,427},{2,4,17},{2,4,17},{2,4,17},{2,3,17},{3,1,648},{0,4,74},{0,4,74},{1,2,226},{4,1,648},
{1,2,226},{3,4,882},{1,6,80},{2,4,122},{0,4,146},{3,4,882},{7,1,882},{0,4,146},{0,3,890},{7,1,882},{0,3,890},{1,0,1044},{1,0,1044},{1,0,1044},{1,0,1044},{1,3,145},{1,3,145},{1,3,145},{1,2,145},{0,2,202},{0,2,202},{2,6,2374},{1,6,1476},{2,4,1550},{1,4,1469},{1,6,3172},{1,5,1259},{1,4,61},{1,3,1323},{0,4,4452},{0,3,1282},{2,6,930},
{2,5,96},{2,4,106},{2,4,194},{5,0,3060},{0,6,1144},{1,4,45},{0,3,1086},{6,1,3060},{0,3,1086},{2,5,1476},{2,5,1476},{2,5,1476},{1,4,1460},{1,5,666},{1,4,52},{1,4,52},{1,3,362},{0,3,1356},{0,3,321},{2,5,32},{2,5,32},{2,5,32},{2,3,97},{4,0,650},{1,4,36},{1,4,36},{0,3,125},{3,2,650},{0,3,125},{4,3,882},{1,6,16},{2,4,90},
{1,4,9},{4,3,882},{6,2,882},{1,4,9},{0,3,1082},{6,2,882},{0,3,1082},{1,0,1460},{1,0,1460},{1,0,1460},{1,0,1460},{1,4,52},{1,4,52},{1,4,52},{1,2,65},{0,3,200},{0,3,200},{2,7,1892},{2,6,1090},{2,4,1370},{2,4,1062},{1,7,3100},{1,5,1169},{1,4,151},{1,3,1665},{0,5,4036},{0,3,1678},{2,7,1051},{2,6,249},{3,4,493},{2,4,221},{3,4,3060},
{0,6,883},{1,4,126},{0,4,1528},{7,1,3060},{0,4,1528},{2,5,1035},{2,5,1035},{2,5,1035},{2,4,1026},{1,6,723},{1,4,115},{1,4,115},{1,3,65},{0,4,1004},{0,3,78},{2,5,194},{2,5,194},{2,5,194},{2,4,185},{2,4,648},{1,4,90},{1,4,90},{1,3,40},{7,0,648},{1,3,40},{5,2,882},{2,6,80},{3,4,52},{2,4,52},{5,2,882},{5,3,882},{2,4,52},
{0,4,1332},{5,3,882},{0,4,1332},{2,0,1010},{2,0,1010},{2,0,1010},{2,0,1010},{1,4,34},{1,4,34},{1,4,34},{1,3,61},{0,3,74},{0,3,74},{2,7,1892},{2,6,898},{2,5,1451},{2,4,1094},{2,6,3501},{1,6,1308},{1,5,589},{1,4,1510},{0,5,3940},{0,4,1116},{3,6,1051},{3,5,377},{3,4,381},{3,4,429},{5,1,3060},{0,6,1059},{2,4,312},{0,4,1016},{6,2,3060},
{0,4,1016},{2,6,882},{2,6,882},{2,6,882},{2,4,898},{1,6,835},{1,5,189},{1,5,189},{1,3,209},{0,4,1036},{0,3,270},{3,4,185},{3,4,185},{3,4,185},{3,4,233},{3,3,650},{1,5,20},{1,5,20},{1,3,40},{6,1,650},{1,3,40},{6,1,882},{2,6,16},{3,4,212},{2,4,212},{6,1,882},{4,4,882},{2,4,212},{0,4,980},{4,4,882},{0,4,980},{2,0,882},
{2,0,882},{2,0,882},{2,0,882},{1,5,173},{1,5,173},{1,5,173},{1,3,173},{0,4,136},{0,4,136},{2,7,2404},{2,7,1116},{2,5,1595},{2,5,1235},{2,7,3244},{1,6,1404},{2,5,619},{1,4,1446},{0,6,3804},{0,4,892},{3,7,957},{3,6,195},{3,5,169},{3,4,509},{6,0,3060},{0,7,936},{1,5,196},{0,4,888},{3,4,3060},{0,4,888},{2,7,1035},{2,7,1035},{2,7,1035},
{2,5,1091},{2,5,835},{2,4,317},{2,4,317},{2,3,369},{0,5,875},{1,3,396},{3,5,25},{3,5,25},{3,5,25},{3,4,25},{4,2,650},{1,5,52},{1,5,52},{2,3,200},{5,2,650},{2,3,200},{7,0,884},{2,7,106},{3,5,144},{1,5,160},{7,0,884},{3,5,884},{1,5,160},{0,4,884},{3,5,884},{0,4,884},{2,0,1010},{2,0,1010},{2,0,1010},{2,0,1010},{2,4,173},
{2,4,173},{2,4,173},{2,3,173},{0,4,8},{0,4,8},{3,7,2430},{2,7,1404},{3,5,1610},{2,5,1411},{2,7,3148},{2,6,1309},{2,5,91},{2,4,1325},{0,6,3484},{0,4,1180},{3,7,909},{3,6,83},{3,5,89},{3,5,221},{4,4,3051},{0,7,1000},{2,5,66},{1,4,1053},{7,2,3051},{1,4,1053},{2,7,1403},{2,7,1403},{2,7,1403},{2,5,1395},{2,6,681},{2,5,75},{2,5,75},
{2,4,425},{0,5,795},{0,4,280},{3,6,34},{3,6,34},{3,6,34},{3,4,73},{5,1,656},{2,5,50},{2,5,50},{1,4,153},{7,1,656},{1,4,153},{5,4,884},{2,7,10},{3,5,80},{2,5,17},{5,4,884},{7,3,884},{2,5,17},{0,4,1044},{7,3,884},{0,4,1044},{2,0,1394},{2,0,1394},{2,0,1394},{2,0,1394},{2,4,61},{2,4,61},{2,4,61},{2,3,61},{0,4,136},
{0,4,136},{3,7,2214},{3,7,1150},{3,5,1358},{3,5,1094},{2,7,3652},{2,6,1147},{2,5,109},{2,4,1595},{0,7,3724},{0,5,1402},{3,7,1314},{3,7,250},{3,5,458},{3,5,194},{5,3,3060},{1,7,888},{2,5,93},{0,5,1398},{6,3,3060},{0,5,1398},{3,6,1060},{3,6,1060},{3,6,1060},{3,5,1069},{2,7,736},{2,5,84},{2,5,84},{2,4,74},{0,6,820},{1,4,81},{3,6,160},
{3,6,160},{3,6,160},{3,5,169},{6,0,650},{2,5,68},{2,5,68},{1,4,45},{3,4,650},{1,4,45},{6,3,884},{3,7,106},{4,5,50},{3,5,50},{6,3,884},{6,4,884},{3,5,50},{0,5,1394},{6,4,884},{0,5,1394},{3,0,1044},{3,0,1044},{3,0,1044},{3,0,1044},{2,5,20},{2,5,20},{2,5,20},{2,4,65},{0,5,8},{0,5,8},{3,7,2566},{3,7,894},{3,6,1469},
{3,5,1062},{3,7,3535},{2,7,1332},{2,6,619},{2,5,1554},{0,7,3276},{0,5,1146},{4,7,1080},{4,6,398},{4,5,374},{4,5,446},{6,2,3051},{1,7,1016},{3,5,299},{0,5,1046},{5,4,3051},{0,5,1046},{3,7,885},{3,7,885},{3,7,885},{3,5,893},{2,7,800},{2,6,178},{2,6,178},{2,4,170},{0,6,660},{1,4,225},{4,5,205},{4,5,205},{4,5,205},{4,5,277},{5,2,656},
{2,6,34},{2,6,34},{2,4,26},{7,2,656},{2,4,26},{7,2,884},{3,7,10},{4,5,178},{3,5,178},{7,2,884},{5,5,884},{3,5,178},{0,5,1010},{5,5,884},{0,5,1010},{3,0,884},{3,0,884},{3,0,884},{3,0,884},{2,6,153},{2,6,153},{2,6,153},{2,4,145},{0,5,136},{0,5,136},{4,7,3320},{3,7,1150},{3,6,1549},{3,6,1249},{3,7,3487},{2,7,1364},{2,6,603},
{2,5,1426},{0,7,3340},{1,5,892},{4,7,1016},{4,7,236},{4,6,206},{4,5,478},{7,1,3051},{2,7,964},{2,6,203},{1,5,883},{4,5,3051},{1,5,883},{3,7,1029},{3,7,1029},{3,7,1029},{3,6,1080},{3,6,852},{3,5,326},{3,5,326},{3,4,374},{0,6,884},{2,4,371},{4,6,37},{4,6,37},{4,6,37},{4,5,37},{6,1,656},{2,6,34},{2,6,34},{3,4,178},{6,3,656},
{3,4,178},{5,6,890},{3,7,170},{4,6,170},{2,6,178},{5,6,890},{4,6,890},{2,6,178},{0,5,882},{4,6,890},{0,5,882},{3,0,980},{3,0,980},{3,0,980},{3,0,980},{3,5,205},{3,5,205},{3,5,205},{3,4,205},{1,5,10},{1,5,10},{4,7,2936},{4,7,1676},{4,6,1678},{3,6,1361},{3,7,3951},{3,7,1367},{3,6,129},{3,5,1335},{1,7,3496},{1,5,1116},{4,7,1336},
{4,7,76},{4,6,78},{4,6,254},{5,5,3048},{2,7,1124},{3,6,93},{2,5,1026},{3,6,3048},{2,5,1026},{3,7,1557},{3,7,1557},{3,7,1557},{3,6,1336},{3,7,702},{3,6,104},{3,6,104},{3,5,494},{0,7,667},{1,5,275},{4,7,40},{4,7,40},{4,7,40},{4,5,53},{7,0,650},{3,6,68},{3,6,68},{2,5,185},{3,5,650},{2,5,185},{7,3,890},{4,7,72},{4,6,74},
{3,6,29},{7,3,890},{6,5,890},{3,6,29},{0,5,1010},{6,5,890},{0,5,1010},{3,0,1332},{3,0,1332},{3,0,1332},{3,0,1332},{3,5,61},{3,5,61},{3,5,61},{3,4,61},{1,5,106},{1,5,106},{4,7,3116},{4,7,1316},{4,6,1354},{4,6,1134},{4,7,4084},{3,7,1133},{3,6,75},{3,5,1533},{1,7,3676},{1,6,1470},{5,7,1429},{4,7,355},{4,6,393},{4,6,173},{6,4,3051},
{3,7,1124},{3,6,66},{1,6,1469},{7,4,3051},{1,6,1469},{4,7,1091},{4,7,1091},{4,7,1091},{4,6,1118},{3,7,729},{3,6,59},{3,6,59},{3,5,89},{0,7,820},{2,5,90},{4,7,130},{4,7,130},{4,7,130},{4,6,157},{7,1,656},{3,6,50},{3,6,50},{2,5,41},{7,3,656},{2,5,41},{7,4,890},{4,7,234},{5,6,52},{4,6,52},{7,4,890},{7,5,890},{4,6,52},
{0,5,1460},{7,5,890},{0,5,1460},{4,0,1082},{4,0,1082},{4,0,1082},{4,0,1082},{3,6,10},{3,6,10},{3,6,10},{3,5,73},{1,6,10},{1,6,10},{4,7,3820},{4,7,1540},{4,7,1495},{4,6,1038},{4,7,4084},{3,7,1469},{3,6,571},{3,6,1606},{2,7,3916},{1,6,1150},{5,7,1349},{5,7,425},{5,6,373},{5,6,469},{7,3,3048},{3,7,1348},{4,6,292},{1,6,1069},{6,5,3048},
{1,6,1069},{4,7,1011},{4,7,1011},{4,7,1011},{4,6,894},{3,7,1161},{3,7,173},{3,7,173},{3,5,137},{1,7,659},{2,5,186},{5,6,229},{5,6,229},{5,6,229},{5,6,325},{6,3,650},{3,7,52},{3,7,52},{3,5,16},{6,4,650},{3,5,16},{6,6,890},{5,7,200},{5,6,148},{4,6,148},{6,6,890},{6,6,890},{4,6,148},{0,6,1044},{6,6,890},{0,6,1044},{4,0,890},
{4,0,890},{4,0,890},{4,0,890},{3,7,137},{3,7,137},{3,7,137},{3,5,121},{1,6,106},{1,6,106},{5,7,4054},{4,7,2276},{4,7,1511},{4,7,1271},{4,7,4596},{4,7,1596},{3,7,577},{3,6,1414},{2,7,4204},{2,6,900},{5,7,1653},{5,7,377},{5,7,249},{5,6,453},{5,7,3048},{4,7,1371},{3,7,216},{2,6,884},{5,6,3048},{2,6,884},{4,7,1315},{4,7,1315},{4,7,1315},
{4,6,1054},{4,7,875},{4,6,341},{4,6,341},{4,5,385},{1,7,835},{3,5,352},{5,7,53},{5,7,53},{5,7,53},{5,6,53},{7,2,650},{3,7,20},{3,7,20},{4,5,160},{5,5,650},{4,5,160},{7,5,890},{5,7,328},{5,7,200},{3,7,200},{7,5,890},{5,7,900},{3,7,200},{0,6,884},{5,7,900},{0,6,884},{4,0,954},{4,0,954},{4,0,954},{4,0,954},{4,6,241},
{4,6,241},{4,6,241},{4,5,241},{2,6,16},{2,6,16},{5,7,4022},{5,7,2394},{5,7,1754},{4,7,1319},{5,7,4921},{4,7,1660},{4,7,175},{4,6,1353},{3,7,4380},{2,6,1060},{6,7,2021},{5,7,713},{5,7,73},{5,7,293},{6,6,3051},{4,7,1611},{4,7,126},{3,6,1005},{4,7,3051},{3,6,1005},{5,7,1718},{5,7,1718},{5,7,1718},{4,7,1283},{4,7,859},{4,7,139},{4,7,139},
{4,5,465},{2,7,779},{2,6,276},{5,7,37},{5,7,37},{5,7,37},{5,6,37},{5,6,648},{4,7,90},{4,7,90},{3,6,221},{4,6,648},{3,6,221},{7,6,900},{6,7,452},{5,7,72},{4,7,45},{7,6,900},{7,6,884},{4,7,45},{0,6,980},{7,6,884},{0,6,980},{4,0,1274},{4,0,1274},{4,0,1274},{4,0,1274},{4,6,65},{4,6,65},{4,6,65},{4,5,65},{2,6,80},
{2,6,80},{5,7,4265},{5,7,2373},{5,7,1349},{5,7,1173},{5,7,4606},{4,7,2065},{4,7,40},{4,6,1266},{3,7,4455},{3,6,1261},{6,7,1649},{6,7,1025},{5,7,325},{5,7,149},{7,5,2817},{5,7,1514},{4,7,36},{3,6,1197},{6,6,2841},{3,6,1197},{5,7,1349},{5,7,1349},{5,7,1349},{5,7,1173},{4,7,1300},{4,7,40},{4,7,40},{4,6,110},{2,7,1040},{3,6,105},{5,7,325},
{5,7,325},{5,7,325},{5,7,149},{6,5,650},{4,7,36},{4,7,36},{3,6,41},{3,7,650},{3,6,41},{7,6,801},{6,7,449},{6,7,49},{4,7,36},{7,6,801},{6,7,761},{4,7,36},{0,6,1181},{6,7,761},{0,6,1181},{5,0,1124},{5,0,1124},{5,0,1124},{5,0,1124},{4,7,4},{4,7,4},{4,7,4},{4,6,85},{2,7,16},{2,7,16},{5,7,4345},{5,7,2453},{5,7,1429},
{5,7,901},{5,7,4190},{5,7,1770},{4,7,360},{4,6,1266},{4,7,3861},{2,7,1041},{6,7,1281},{6,7,657},{6,7,257},{5,7,325},{6,7,2250},{5,7,1194},{5,7,170},{2,7,977},{5,7,2250},{2,7,977},{5,7,1429},{5,7,1429},{5,7,1429},{5,7,901},{5,7,1274},{4,7,360},{4,7,360},{4,6,110},{3,7,979},{3,6,153},{6,7,257},{6,7,257},{6,7,257},{5,7,325},{7,4,648},
{5,7,170},{5,7,170},{4,6,10},{7,5,648},{4,6,10},{7,7,521},{6,7,401},{6,7,1},{5,7,1},{7,7,521},{6,7,521},{5,7,1},{0,7,961},{6,7,521},{0,7,961},{5,0,900},{5,0,900},{5,0,900},{5,0,900},{4,7,164},{4,7,164},{4,7,164},{4,6,101},{2,7,80},{2,7,80},{6,7,3669},{5,7,2917},{5,7,1893},{5,7,1013},{5,7,4158},{5,7,1386},{5,7,362},
{4,7,1049},{4,7,3381},{3,7,555},{6,7,1169},{6,7,545},{6,7,145},{6,7,73},{7,6,1802},{5,7,1130},{5,7,106},{3,7,530},{7,6,1770},{3,7,530},{5,7,1893},{5,7,1893},{5,7,1893},{5,7,1013},{5,7,1242},{5,7,362},{5,7,362},{5,6,402},{3,7,1251},{4,6,339},{6,7,145},{6,7,145},{6,7,145},{6,7,73},{7,5,680},{5,7,106},{5,7,106},{5,6,146},{6,6,648},
{5,6,146},{7,7,265},{7,7,193},{6,7,81},{6,7,9},{7,7,265},{7,7,305},{6,7,9},{0,7,529},{7,7,305},{0,7,529},{5,0,932},{5,0,932},{5,0,932},{5,0,932},{5,7,281},{5,7,281},{5,7,281},{5,6,281},{3,7,26},{3,7,26},{6,7,3077},{6,7,2453},{6,7,2053},{5,7,1509},{6,7,3438},{5,7,1386},{5,7,362},{5,7,650},{5,7,3195},{3,7,283},{7,7,1293},
{6,7,689},{6,7,289},{6,7,25},{7,6,1386},{6,7,786},{5,7,298},{4,7,261},{6,7,1386},{4,7,261},{6,7,2053},{6,7,2053},{6,7,2053},{5,7,1509},{5,7,1594},{5,7,362},{5,7,362},{5,6,434},{4,7,1260},{3,7,283},{6,7,289},{6,7,289},{6,7,289},{6,7,25},{6,7,650},{5,7,298},{5,7,298},{4,7,261},{5,7,650},{4,7,261},{7,7,137},{7,7,65},{7,7,16},
{6,7,25},{7,7,137},{7,7,113},{6,7,25},{0,7,225},{7,7,113},{0,7,225},{5,0,1220},{5,0,1220},{5,0,1220},{5,0,1220},{5,7,73},{5,7,73},{5,7,73},{5,6,73},{3,7,58},{3,7,58},{6,7,2870},{6,7,2246},{6,7,1846},{6,7,1366},{6,7,2889},{6,7,1785},{5,7,821},{5,7,137},{5,7,2700},{4,7,126},{7,7,771},{7,7,699},{7,7,650},{6,7,277},{7,7,1107},
{6,7,696},{6,7,296},{4,7,45},{6,7,1080},{4,7,45},{6,7,1846},{6,7,1846},{6,7,1846},{6,7,1366},{6,7,1865},{5,7,821},{5,7,821},{5,7,137},{4,7,1611},{4,7,126},{7,7,650},{7,7,650},{7,7,650},{6,7,277},{7,6,648},{6,7,296},{6,7,296},{4,7,45},{7,6,680},{4,7,45},{7,7,146},{7,7,74},{7,7,25},{7,7,1},{7,7,146},{7,7,50},{7,7,1},
{0,7,36},{7,7,50},{0,7,36},{6,0,1170},{6,0,1170},{6,0,1170},{6,0,1170},{5,7,145},{5,7,145},{5,7,145},{5,7,101},{4,7,90},{4,7,90},{6,7,2962},{6,7,2338},{6,7,1938},{6,7,1314},{6,7,2677},{6,7,1429},{6,7,1029},{5,7,85},{5,7,2536},{4,7,122},{7,7,531},{7,7,459},{7,7,410},{7,7,338},{7,7,771},{7,7,627},{6,7,404},{5,7,4},{7,7,827},
{5,7,4},{6,7,1938},{6,7,1938},{6,7,1938},{6,7,1314},{6,7,1653},{6,7,1029},{6,7,1029},{5,7,85},{5,7,1512},{4,7,122},{7,7,410},{7,7,410},{7,7,410},{7,7,338},{7,7,650},{6,7,404},{6,7,404},{5,7,4},{6,7,596},{5,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,914},
{6,0,914},{6,0,914},{6,0,914},{5,7,481},{5,7,481},{5,7,481},{5,7,85},{4,7,122},{4,7,122},{7,7,2924},{6,7,2338},{6,7,1938},{6,7,1314},{6,7,2373},{6,7,1125},{6,7,725},{5,7,325},{6,7,2132},{5,7,232},{7,7,323},{7,7,251},{7,7,202},{7,7,130},{7,7,467},{7,7,323},{7,7,274},{5,7,36},{7,7,459},{5,7,36},{6,7,1938},{6,7,1938},{6,7,1938},
{6,7,1314},{6,7,1349},{6,7,725},{6,7,725},{5,7,325},{5,7,1256},{5,7,232},{7,7,202},{7,7,202},{7,7,202},{7,7,130},{7,7,346},{7,7,274},{7,7,274},{5,7,36},{7,7,410},{5,7,36},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,914},{6,0,914},{6,0,914},{6,0,914},{6,7,325},
{6,7,325},{6,7,325},{5,7,325},{5,7,232},{5,7,232},{7,7,2092},{7,7,2020},{7,7,1971},{6,7,1570},{7,7,2140},{6,7,1077},{6,7,677},{6,7,85},{6,7,1588},{5,7,232},{7,7,243},{7,7,171},{7,7,122},{7,7,50},{7,7,291},{7,7,147},{7,7,98},{6,7,4},{7,7,219},{6,7,4},{7,7,1971},{7,7,1971},{7,7,1971},{6,7,1570},{6,7,1301},{6,7,677},{6,7,677},
{6,7,85},{6,7,1188},{5,7,232},{7,7,122},{7,7,122},{7,7,122},{7,7,50},{7,7,170},{7,7,98},{7,7,98},{6,7,4},{7,7,170},{6,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,1170},{6,0,1170},{6,0,1170},{6,0,1170},{6,7,277},{6,7,277},{6,7,277},{6,7,85},{5,7,232},
{5,7,232},{0,4,1618},{0,3,436},{0,2,74},{0,2,866},{0,2,3411},{0,2,2531},{0,1,1251},{0,1,2531},{0,1,3772},{0,1,2892},{0,4,1618},{0,3,436},{0,2,74},{0,2,866},{0,2,3411},{0,2,2531},{0,1,1251},{0,1,2531},{2,0,3376},{0,1,2531},{0,1,25},{0,1,25},{0,1,25},{0,1,49},{0,0,360},{0,0,232},{0,0,232},{0,0,149},{0,0,332},{0,0,185},{0,1,25},
{0,1,25},{0,1,25},{0,1,49},{0,0,360},{0,0,232},{0,0,232},{0,0,149},{0,0,296},{0,0,149},{1,2,1570},{0,3,436},{0,2,74},{0,2,866},{1,2,1570},{0,2,1570},{0,2,866},{0,1,1570},{0,2,1570},{0,1,1570},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,4,1586},{0,3,340},{0,2,10},
{0,2,450},{0,3,4016},{0,2,2627},{0,2,1411},{0,1,2691},{0,1,4572},{0,1,3052},{0,4,1586},{0,3,340},{0,2,10},{0,2,450},{1,1,3968},{0,2,2627},{0,2,1411},{0,1,2691},{2,0,4016},{0,1,2691},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,530},{0,1,362},{0,1,362},{0,0,325},{0,0,620},{0,0,361},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,530},
{0,1,362},{0,1,362},{0,0,325},{0,0,584},{0,0,325},{2,1,1570},{0,3,340},{0,2,10},{0,2,450},{2,1,1570},{4,0,1570},{0,2,450},{0,1,1730},{4,0,1570},{0,1,1730},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,5,1576},{0,4,290},{0,2,202},{0,2,290},{0,3,4656},{0,2,2979},{0,2,1251},
{0,1,3107},{0,1,5628},{0,1,3468},{0,5,1576},{0,4,290},{0,2,202},{0,2,290},{0,3,4656},{0,2,2979},{0,2,1251},{0,1,3107},{1,1,4656},{0,1,3107},{0,3,16},{0,3,16},{0,3,16},{0,1,81},{0,1,802},{0,1,442},{0,1,442},{0,0,629},{0,0,1036},{0,0,665},{0,3,16},{0,3,16},{0,3,16},{0,1,81},{0,1,802},{0,1,442},{0,1,442},{0,0,629},{1,0,818},
{0,0,629},{3,0,1576},{0,4,290},{0,2,202},{0,2,290},{3,0,1576},{3,1,1576},{0,2,290},{0,1,2146},{3,1,1576},{0,1,2146},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,5,1640},{0,4,162},{0,3,241},{0,2,386},{0,4,5539},{0,3,3512},{0,2,1347},{0,1,3779},{0,2,6396},{0,1,4140},{0,5,1640},
{0,4,162},{0,3,241},{0,2,386},{1,2,5435},{0,3,3512},{0,2,1347},{0,1,3779},{0,2,5435},{0,1,3779},{0,3,16},{0,3,16},{0,3,16},{0,2,25},{0,1,1202},{0,1,650},{0,1,650},{0,1,970},{0,0,1580},{0,0,1097},{0,3,16},{0,3,16},{0,3,16},{0,2,25},{1,0,1170},{0,1,650},{0,1,650},{0,1,970},{1,0,1154},{0,1,970},{2,2,1576},{0,4,162},{0,3,241},
{0,2,386},{2,2,1576},{5,0,1576},{0,2,386},{0,2,1730},{5,0,1576},{0,2,1730},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,6,1667},{0,5,259},{0,3,286},{0,3,406},{0,4,5440},{0,3,3035},{0,2,1284},{0,2,3504},{0,2,6513},{0,2,4465},{0,6,1667},{0,5,259},{0,3,286},{0,3,406},{2,1,5424},
{0,3,3035},{0,2,1284},{0,2,3504},{4,0,5424},{0,2,3504},{0,4,81},{0,4,81},{0,4,81},{0,2,97},{0,2,1160},{0,2,500},{0,2,500},{0,1,520},{0,1,1521},{0,1,881},{0,4,81},{0,4,81},{0,4,81},{0,2,97},{0,2,1160},{0,2,500},{0,2,500},{0,1,520},{0,1,1160},{0,1,520},{2,3,1576},{0,5,178},{1,3,100},{0,3,325},{2,3,1576},{6,0,1576},{0,3,325},
{0,2,1568},{6,0,1576},{0,2,1568},{0,0,81},{0,0,81},{0,0,81},{0,0,81},{0,0,9},{0,0,9},{0,0,9},{0,0,1},{0,0,37},{0,0,37},{0,7,1865},{0,5,339},{0,3,734},{0,3,374},{0,5,5435},{0,3,3019},{0,3,814},{0,2,2992},{0,2,7025},{0,2,3953},{1,5,1865},{0,5,339},{1,3,293},{0,3,374},{3,0,5435},{0,3,3019},{0,3,814},{0,2,2992},{3,1,5435},
{0,2,2992},{0,5,314},{0,5,314},{0,5,314},{0,3,370},{0,3,1170},{0,2,340},{0,2,340},{0,1,392},{0,1,1713},{0,1,753},{1,3,289},{1,3,289},{1,3,289},{1,2,289},{1,1,1154},{0,2,340},{0,2,340},{0,1,392},{1,1,1170},{0,1,392},{4,0,1576},{0,5,50},{1,3,4},{0,3,85},{4,0,1576},{5,1,1576},{0,3,85},{0,2,1696},{5,1,1576},{0,2,1696},{0,0,289},
{0,0,289},{0,0,289},{0,0,289},{0,1,4},{0,1,4},{0,1,4},{0,0,49},{0,0,85},{0,0,85},{0,7,2265},{0,6,787},{1,3,1401},{0,3,726},{0,5,5515},{0,4,2664},{0,3,462},{0,2,2864},{0,3,7363},{0,2,3825},{1,6,1667},{1,5,405},{1,3,245},{1,3,377},{2,2,5427},{0,4,2664},{0,3,462},{0,2,2864},{5,0,5427},{0,2,2864},{0,5,634},{0,5,634},{0,5,634},
{0,3,626},{0,3,1202},{0,3,362},{0,3,362},{0,1,520},{0,2,2145},{0,1,881},{1,4,106},{1,4,106},{1,4,106},{1,2,145},{2,0,1154},{0,3,362},{0,3,362},{0,1,520},{3,0,1154},{0,1,520},{2,4,1576},{0,6,162},{1,3,164},{0,3,101},{2,4,1576},{7,0,1576},{0,3,101},{0,2,2080},{7,0,1576},{0,2,2080},{0,0,625},{0,0,625},{0,0,625},{0,0,625},{0,1,36},
{0,1,36},{0,1,36},{0,1,36},{0,0,261},{0,0,261},{1,6,2775},{0,6,1091},{1,4,1422},{0,3,1462},{0,6,5427},{0,4,2536},{0,3,494},{0,2,3120},{0,3,7635},{0,2,4081},{1,6,1619},{1,5,165},{1,4,266},{1,3,361},{3,1,5427},{0,4,2536},{0,3,494},{0,2,3120},{4,1,5427},{0,2,3120},{0,6,1090},{0,6,1090},{0,6,1090},{0,3,1138},{0,4,1152},{0,3,170},{0,3,170},
{0,2,416},{0,2,2145},{0,1,1265},{1,4,10},{1,4,10},{1,4,10},{1,3,37},{0,4,1152},{0,3,170},{0,3,170},{0,2,416},{2,1,1152},{0,2,416},{3,3,1570},{0,6,2},{1,4,265},{1,3,360},{3,3,1570},{6,1,1570},{1,3,360},{0,3,1768},{6,1,1570},{0,3,1768},{0,0,1089},{0,0,1089},{0,0,1089},{0,0,1089},{0,2,4},{0,2,4},{0,2,4},{0,1,4},{0,1,365},
{0,1,365},{1,7,2796},{1,6,1432},{1,4,1413},{1,4,1593},{0,7,5435},{0,5,2360},{0,4,299},{0,3,2594},{0,3,8400},{0,3,4530},{1,7,1640},{1,6,276},{1,4,257},{1,4,437},{4,0,5427},{0,5,2360},{0,4,299},{0,3,2594},{3,2,5427},{0,3,2594},{1,5,1221},{1,5,1221},{1,5,1221},{1,3,1229},{0,5,1184},{0,4,250},{0,4,250},{0,2,146},{0,2,2451},{0,2,1107},{1,5,65},
{1,5,65},{1,5,65},{1,3,73},{1,3,1154},{0,4,250},{0,4,250},{0,2,146},{1,2,1154},{0,2,146},{4,2,1576},{0,6,128},{2,4,130},{0,4,74},{4,2,1576},{5,2,1576},{0,4,74},{0,3,1570},{5,2,1576},{0,3,1570},{1,0,1220},{1,0,1220},{1,0,1220},{1,0,1220},{0,3,4},{0,3,4},{0,3,4},{0,1,121},{0,1,482},{0,1,482},{1,7,3180},{1,6,1464},{1,4,1813},
{1,4,1513},{0,7,5515},{0,5,2168},{0,4,59},{0,3,2242},{0,4,8764},{0,3,4178},{2,6,1894},{1,6,308},{2,4,326},{1,4,357},{2,4,5427},{0,5,2168},{0,4,59},{0,3,2242},{7,0,5427},{0,3,2242},{1,6,1448},{1,6,1448},{1,6,1448},{1,4,1512},{0,5,1184},{0,4,58},{0,4,58},{0,2,178},{0,2,2995},{0,2,1139},{1,6,292},{1,6,292},{1,6,292},{2,3,325},{2,2,1152},
{0,4,58},{0,4,58},{0,2,178},{5,0,1152},{0,2,178},{5,1,1570},{0,7,34},{2,4,2},{0,4,10},{5,1,1570},{4,3,1570},{0,4,10},{0,3,1666},{4,3,1570},{0,3,1666},{1,0,1412},{1,0,1412},{1,0,1412},{1,0,1412},{0,3,36},{0,3,36},{0,3,36},{0,2,9},{0,1,722},{0,1,722},{1,7,3816},{1,6,1748},{1,5,2450},{1,4,1685},{0,7,5983},{0,6,2180},{0,4,207},
{0,3,2278},{0,4,9004},{0,3,4038},{2,7,1700},{2,6,462},{2,4,230},{2,4,406},{3,3,5420},{0,6,2176},{0,4,203},{0,3,2274},{6,1,5420},{0,3,2274},{1,6,1604},{1,6,1604},{1,6,1604},{1,4,1604},{0,6,1156},{0,4,126},{0,4,126},{0,3,429},{0,3,3044},{0,2,1307},{2,5,136},{2,5,136},{2,5,136},{2,3,149},{3,1,1152},{0,4,122},{0,4,122},{0,3,425},{4,1,1152},
{0,3,425},{6,0,1570},{0,7,130},{2,4,130},{1,4,85},{6,0,1570},{3,4,1570},{1,4,85},{0,3,2018},{3,4,1570},{0,3,2018},{1,0,1600},{1,0,1600},{1,0,1600},{1,0,1600},{0,4,5},{0,4,5},{0,4,5},{0,2,29},{0,2,866},{0,2,866},{1,7,4520},{1,7,1608},{1,5,2418},{1,4,1925},{1,7,5996},{0,6,1956},{0,5,409},{0,4,2751},{0,5,9020},{0,3,3846},{2,7,1604},
{2,6,174},{2,5,297},{2,4,342},{4,2,5420},{0,6,1856},{0,5,309},{0,4,2651},{5,2,5420},{0,4,2651},{1,7,1604},{1,7,1604},{1,7,1604},{1,4,1636},{0,7,1302},{0,5,120},{0,5,120},{0,3,189},{0,3,2820},{0,3,1245},{2,5,8},{2,5,8},{2,5,8},{2,4,53},{4,0,1154},{0,5,20},{0,5,20},{0,3,89},{3,2,1154},{0,3,89},{4,4,1568},{1,7,8},{2,5,293},
{0,5,293},{4,4,1568},{7,2,1568},{0,5,293},{0,4,1810},{7,2,1568},{0,4,1810},{1,0,1600},{1,0,1600},{1,0,1600},{1,0,1600},{0,5,116},{0,5,116},{0,5,116},{0,3,164},{0,2,610},{0,2,610},{2,7,4356},{1,7,2004},{2,5,2635},{1,5,2006},{1,7,5924},{0,6,2316},{0,5,499},{0,4,2337},{0,5,8300},{0,4,3420},{2,7,1955},{2,7,299},{2,5,234},{2,5,474},{5,1,5420},
{0,6,1955},{0,5,138},{0,4,1976},{4,3,5420},{0,4,1976},{1,7,1955},{1,7,1955},{1,7,1955},{1,5,1942},{1,6,1427},{0,5,435},{0,5,435},{0,3,378},{0,4,2628},{0,3,642},{2,6,53},{2,6,53},{2,6,53},{2,4,53},{2,4,1152},{0,5,74},{0,5,74},{0,3,17},{7,0,1152},{0,3,17},{5,3,1570},{1,7,98},{3,5,164},{1,5,100},{5,3,1570},{6,3,1570},{1,5,100},
{0,4,1576},{6,3,1570},{0,4,1576},{1,0,1906},{1,0,1906},{1,0,1906},{1,0,1906},{1,4,234},{1,4,234},{1,4,234},{1,2,325},{0,3,626},{0,3,626},{2,7,4356},{2,7,1964},{2,5,2267},{2,5,2027},{1,7,6404},{1,6,2220},{1,5,117},{1,4,2314},{0,5,8204},{0,4,2684},{3,7,1929},{2,7,283},{3,5,365},{2,5,346},{6,0,5420},{0,7,1712},{1,5,68},{0,4,1784},{3,4,5420},
{0,4,1784},{2,6,1942},{2,6,1942},{2,6,1942},{2,4,2006},{1,6,1219},{1,5,117},{1,5,117},{1,3,209},{0,4,2340},{0,3,514},{2,6,261},{2,6,261},{2,6,261},{2,4,325},{3,3,1154},{0,6,50},{0,6,50},{1,3,160},{6,1,1154},{1,3,160},{6,2,1568},{2,7,58},{3,5,4},{1,5,4},{6,2,1568},{5,4,1568},{1,5,4},{0,4,1640},{5,4,1568},{0,4,1640},{2,0,1906},
{2,0,1906},{2,0,1906},{2,0,1906},{1,4,74},{1,4,74},{1,4,74},{1,3,65},{0,3,370},{0,3,370},{2,7,4868},{2,7,1740},{2,5,2411},{2,5,1691},{2,7,6548},{1,7,2244},{1,5,165},{1,4,2250},{0,6,7668},{0,4,2460},{3,7,1817},{3,7,525},{3,5,221},{3,5,441},{4,4,5419},{0,7,1712},{1,5,164},{0,4,1976},{7,2,5419},{0,4,1976},{2,7,1619},{2,7,1619},{2,7,1619},
{2,5,1627},{1,7,1155},{1,5,101},{1,5,101},{1,3,417},{0,5,2379},{0,4,696},{3,5,157},{3,5,157},{3,5,157},{3,4,157},{4,2,1154},{0,6,82},{0,6,82},{0,4,212},{5,2,1154},{0,4,212},{7,1,1568},{2,7,122},{3,5,100},{2,5,73},{7,1,1568},{4,5,1568},{2,5,73},{0,4,1960},{4,5,1568},{0,4,1960},{2,0,1618},{2,0,1618},{2,0,1618},{2,0,1618},{1,5,1},
{1,5,1},{1,5,1},{1,3,17},{0,3,370},{0,3,370},{3,7,5570},{2,7,2028},{2,6,2394},{2,5,1867},{2,7,6452},{1,7,1956},{1,6,439},{1,4,2698},{0,6,7348},{0,4,2748},{3,7,2089},{3,7,189},{3,6,334},{3,5,329},{5,3,5419},{1,7,1875},{1,6,358},{0,5,2145},{6,3,5419},{0,5,2145},{2,7,1667},{2,7,1667},{2,7,1667},{2,5,1611},{1,7,1331},{1,6,115},{1,6,115},
{1,4,198},{0,5,1979},{0,4,248},{3,6,10},{3,6,10},{3,6,10},{3,5,73},{5,1,1160},{1,6,34},{1,6,34},{0,4,52},{7,1,1160},{0,4,52},{5,5,1570},{3,7,180},{4,5,320},{2,5,281},{5,5,1570},{3,6,1570},{2,5,281},{0,5,1856},{3,6,1570},{0,5,1856},{2,0,1586},{2,0,1586},{2,0,1586},{2,0,1586},{1,6,106},{1,6,106},{1,6,106},{1,4,162},{0,4,212},
{0,4,212},{3,7,5354},{3,7,2770},{3,6,2717},{2,6,1986},{2,7,6956},{1,7,2244},{1,6,457},{1,5,2351},{0,7,7268},{0,5,1974},{4,7,2384},{3,7,270},{3,6,217},{3,6,517},{6,2,5419},{1,7,1920},{1,6,133},{0,5,1650},{5,4,5419},{0,5,1650},{2,7,2180},{2,7,2180},{2,7,2180},{2,6,1905},{2,7,1480},{1,6,376},{1,6,376},{1,4,333},{0,5,1988},{0,4,203},{3,7,45},
{3,7,45},{3,7,45},{3,5,37},{6,0,1154},{1,6,52},{1,6,52},{1,4,9},{3,4,1154},{1,4,9},{6,4,1568},{3,7,234},{3,6,181},{1,6,117},{6,4,1568},{7,4,1568},{1,6,117},{0,5,1586},{7,4,1568},{0,5,1586},{2,0,1856},{2,0,1856},{2,0,1856},{2,0,1856},{2,5,272},{2,5,272},{2,5,272},{1,4,324},{0,4,194},{0,4,194},{3,7,5706},{3,7,2514},{3,6,2285},
{3,6,2105},{3,7,7359},{2,7,2244},{2,6,147},{2,5,2358},{0,7,6820},{0,5,1718},{4,7,2256},{3,7,750},{4,6,410},{3,6,341},{7,1,5419},{2,7,2180},{2,6,83},{0,5,1618},{4,5,5419},{0,5,1618},{3,7,1985},{3,7,1985},{3,7,1985},{3,5,2041},{2,7,1224},{2,6,146},{2,6,146},{2,4,210},{0,6,1644},{1,4,509},{3,7,221},{3,7,221},{3,7,221},{3,5,277},{5,2,1160},
{1,7,64},{1,7,64},{2,4,146},{7,2,1160},{2,4,146},{7,3,1570},{4,7,356},{4,6,10},{2,6,2},{7,3,1570},{6,5,1570},{2,6,2},{0,5,1618},{6,5,1570},{0,5,1618},{3,0,1960},{3,0,1960},{3,0,1960},{3,0,1960},{2,5,80},{2,5,80},{2,5,80},{2,4,89},{0,5,100},{0,5,100},{3,7,6570},{3,7,2770},{3,6,2365},{3,6,1705},{3,7,7311},{2,7,2276},{2,6,131},
{2,5,2230},{0,7,6884},{0,5,1974},{4,7,2512},{4,7,532},{4,6,218},{4,6,482},{5,5,5424},{2,7,2276},{2,6,131},{1,5,1931},{3,6,5424},{1,5,1931},{3,7,1809},{3,7,1809},{3,7,1809},{3,6,1656},{2,7,1352},{2,6,82},{2,6,82},{2,4,370},{0,6,1548},{0,5,293},{4,6,169},{4,6,169},{4,6,169},{4,5,169},{6,1,1160},{1,7,64},{1,7,64},{1,5,250},{6,3,1160},
{1,5,250},{5,7,1570},{4,7,388},{4,6,74},{3,6,65},{5,7,1570},{5,6,1570},{3,6,65},{0,5,1906},{5,6,1570},{0,5,1906},{3,0,1640},{3,0,1640},{3,0,1640},{3,0,1640},{2,6,1},{2,6,1},{2,6,1},{2,4,9},{0,5,68},{0,5,68},{4,7,6752},{3,7,3538},{3,7,2378},{3,6,1817},{3,7,7775},{2,7,2820},{2,7,477},{2,5,2614},{1,7,7360},{0,6,1978},{5,7,3110},
{4,7,692},{4,7,377},{4,6,322},{6,4,5424},{3,7,2539},{2,7,413},{0,6,1942},{7,4,5424},{0,6,1942},{3,7,2017},{3,7,2017},{3,7,2017},{3,6,1592},{3,7,1846},{2,7,116},{2,7,116},{2,5,213},{0,7,1531},{1,5,283},{4,7,16},{4,7,16},{4,7,16},{4,6,97},{7,0,1154},{2,7,52},{2,7,52},{1,5,58},{3,5,1154},{1,5,58},{7,4,1576},{5,7,610},{5,6,306},
{3,6,241},{7,4,1576},{7,5,1576},{3,6,241},{0,6,1906},{7,5,1576},{0,6,1906},{3,0,1576},{3,0,1576},{3,0,1576},{3,0,1576},{2,7,100},{2,7,100},{2,7,100},{2,5,164},{0,6,72},{0,6,72},{4,7,6932},{4,7,3932},{4,7,2807},{3,7,1974},{4,7,8428},{3,7,2981},{2,7,423},{2,6,2373},{1,7,7540},{0,6,1618},{5,7,2921},{4,7,1331},{4,7,206},{4,7,566},{7,3,5424},
{3,7,2692},{2,7,134},{0,6,1609},{6,5,5424},{0,6,1609},{4,7,2707},{4,7,2707},{4,7,2707},{3,7,1874},{3,7,1513},{2,7,323},{2,7,323},{2,5,294},{0,7,1324},{1,5,184},{4,7,106},{4,7,106},{4,7,106},{4,6,25},{7,1,1160},{2,7,34},{2,7,34},{2,5,5},{7,3,1160},{2,5,5},{7,5,1570},{5,7,628},{4,7,181},{2,7,125},{7,5,1570},{6,6,1586},{2,7,125},
{0,6,1600},{6,6,1586},{0,6,1600},{3,0,1810},{3,0,1810},{3,0,1810},{3,0,1810},{2,7,298},{2,7,298},{2,7,298},{2,5,290},{0,6,18},{0,6,18},{4,7,7636},{4,7,4156},{4,7,2311},{4,7,2191},{4,7,8428},{3,7,3317},{3,7,185},{3,6,2410},{2,7,8180},{1,6,1722},{5,7,3161},{5,7,1357},{5,7,461},{4,7,342},{5,7,5424},{4,7,2979},{3,7,104},{1,6,1601},{5,6,5424},
{1,6,1601},{4,7,2307},{4,7,2307},{4,7,2307},{4,6,2082},{3,7,1625},{3,7,181},{3,7,181},{3,5,217},{0,7,1548},{1,5,504},{5,7,457},{5,7,457},{5,7,457},{4,6,233},{6,3,1154},{3,7,100},{3,7,100},{3,5,136},{6,4,1154},{3,5,136},{6,7,1576},{5,7,916},{5,7,20},{3,7,4},{6,7,1576},{7,6,1576},{3,7,4},{0,6,1600},{7,6,1576},{0,6,1600},{4,0,2018},
{4,0,2018},{4,0,2018},{4,0,2018},{3,6,90},{3,6,90},{3,6,90},{3,5,117},{0,7,104},{0,7,104},{5,7,7862},{4,7,4316},{4,7,2291},{4,7,1691},{4,7,8004},{3,7,3433},{3,7,69},{3,6,1774},{2,7,7580},{1,6,1470},{5,7,3101},{5,7,1209},{5,7,185},{4,7,466},{7,4,4803},{4,7,2579},{3,7,68},{2,6,1448},{7,5,4803},{2,6,1448},{4,7,2291},{4,7,2291},{4,7,2291},
{4,7,1691},{3,7,2121},{3,7,69},{3,7,69},{3,5,329},{1,7,1539},{1,6,314},{5,7,185},{5,7,185},{5,7,185},{5,6,185},{7,2,1154},{3,7,68},{3,7,68},{2,6,292},{5,5,1154},{2,6,292},{7,6,1252},{6,7,724},{5,7,16},{4,7,25},{7,6,1252},{7,6,1268},{4,7,25},{0,6,1412},{7,6,1268},{0,6,1412},{4,0,1666},{4,0,1666},{4,0,1666},{4,0,1666},{3,7,5},
{3,7,5},{3,7,5},{3,5,5},{0,7,40},{0,7,40},{5,7,6806},{4,7,4684},{4,7,2659},{4,7,1579},{4,7,7668},{4,7,2988},{3,7,341},{3,6,1390},{2,7,7084},{1,6,1470},{6,7,2645},{5,7,1193},{5,7,169},{5,7,125},{6,6,4059},{4,7,2259},{4,7,234},{2,6,1224},{4,7,4059},{2,6,1224},{4,7,2659},{4,7,2659},{4,7,2659},{4,7,1579},{4,7,2043},{3,7,341},{3,7,341},
{3,6,234},{1,7,1779},{1,6,314},{5,7,169},{5,7,169},{5,7,169},{5,7,125},{5,6,1152},{4,7,234},{4,7,234},{2,6,68},{4,6,1152},{2,6,68},{7,6,900},{6,7,500},{6,7,100},{4,7,9},{7,6,900},{6,7,884},{4,7,9},{0,6,1220},{6,7,884},{0,6,1220},{4,0,1570},{4,0,1570},{4,0,1570},{4,0,1570},{3,7,85},{3,7,85},{3,7,85},{3,5,149},{1,7,98},
{1,7,98},{5,7,6077},{5,7,4185},{5,7,3161},{4,7,1912},{5,7,6790},{4,7,2529},{4,7,504},{3,6,1417},{3,7,6199},{1,7,1097},{6,7,1925},{6,7,1301},{5,7,457},{5,7,17},{7,5,3321},{5,7,1754},{4,7,180},{1,7,1093},{6,6,3345},{1,7,1093},{5,7,3161},{5,7,3161},{5,7,3161},{4,7,1912},{4,7,2124},{4,7,504},{4,7,504},{3,6,261},{2,7,1944},{2,6,171},{5,7,457},
{5,7,457},{5,7,457},{5,7,17},{6,5,1154},{4,7,180},{4,7,180},{3,6,5},{3,7,1154},{3,6,5},{7,7,605},{6,7,401},{6,7,1},{5,7,1},{7,7,605},{6,7,569},{5,7,1},{0,7,1089},{6,7,569},{0,7,1089},{4,0,1768},{4,0,1768},{4,0,1768},{4,0,1768},{4,7,360},{4,7,360},{4,7,360},{3,6,260},{1,7,8},{1,7,8},{5,7,5837},{5,7,3945},{5,7,2921},
{5,7,2129},{5,7,6054},{4,7,2529},{4,7,504},{4,6,1386},{3,7,5767},{2,7,773},{6,7,1557},{6,7,933},{6,7,533},{5,7,193},{6,7,2754},{5,7,1434},{4,7,404},{2,7,629},{5,7,2754},{2,7,629},{5,7,2921},{5,7,2921},{5,7,2921},{5,7,2129},{4,7,2604},{4,7,504},{4,7,504},{4,6,230},{2,7,2264},{2,6,443},{6,7,533},{6,7,533},{6,7,533},{5,7,193},{7,4,1152},
{4,7,404},{4,7,404},{3,6,117},{7,5,1152},{3,6,117},{7,7,317},{7,7,245},{6,7,49},{6,7,25},{7,7,317},{7,7,373},{6,7,25},{0,7,625},{7,7,373},{0,7,625},{5,0,2080},{5,0,2080},{5,0,2080},{5,0,2080},{4,7,104},{4,7,104},{4,7,104},{4,6,149},{2,7,148},{2,7,148},{5,7,5981},{5,7,4089},{5,7,3065},{5,7,1921},{5,7,5702},{5,7,2666},{4,7,888},
{4,7,693},{4,7,5325},{2,7,341},{6,7,1445},{6,7,821},{6,7,421},{6,7,205},{7,6,2306},{5,7,1370},{5,7,346},{2,7,325},{7,6,2274},{2,7,325},{5,7,3065},{5,7,3065},{5,7,3065},{5,7,1921},{5,7,2786},{4,7,888},{4,7,888},{4,6,294},{3,7,2355},{2,7,341},{6,7,421},{6,7,421},{6,7,421},{6,7,205},{7,5,1184},{5,7,346},{5,7,346},{4,6,290},{6,6,1152},
{4,6,290},{7,7,157},{7,7,85},{7,7,36},{6,7,9},{7,7,157},{7,7,149},{6,7,9},{0,7,289},{7,7,149},{0,7,289},{5,0,1696},{5,0,1696},{5,0,1696},{5,0,1696},{4,7,104},{4,7,104},{4,7,104},{4,6,5},{2,7,52},{2,7,52},{6,7,5433},{5,7,4617},{5,7,3593},{5,7,2097},{5,7,5734},{5,7,2346},{5,7,1322},{4,7,261},{4,7,4909},{2,7,293},{6,7,1589},
{6,7,965},{6,7,565},{6,7,157},{7,6,1890},{6,7,1146},{5,7,538},{3,7,82},{6,7,1890},{3,7,82},{5,7,3593},{5,7,3593},{5,7,3593},{5,7,2097},{5,7,2818},{5,7,1322},{5,7,1322},{4,7,261},{3,7,2691},{2,7,293},{6,7,565},{6,7,565},{6,7,565},{6,7,157},{6,7,1154},{5,7,538},{5,7,538},{3,7,82},{5,7,1154},{3,7,82},{7,7,125},{7,7,53},{7,7,4},
{7,7,4},{7,7,125},{7,7,53},{7,7,4},{0,7,81},{7,7,53},{0,7,81},{5,0,1568},{5,0,1568},{5,0,1568},{5,0,1568},{4,7,360},{4,7,360},{4,7,360},{4,6,117},{2,7,212},{2,7,212},{6,7,4866},{6,7,4242},{6,7,3842},{5,7,2754},{6,7,5113},{5,7,2445},{5,7,1421},{4,7,234},{5,7,4804},{3,7,164},{7,7,1203},{7,7,1131},{6,7,1033},{6,7,409},{7,7,1611},
{6,7,1056},{6,7,656},{4,7,9},{6,7,1584},{4,7,9},{6,7,3842},{6,7,3842},{6,7,3842},{5,7,2754},{5,7,3313},{5,7,1421},{5,7,1421},{4,7,234},{4,7,2875},{3,7,164},{6,7,1033},{6,7,1033},{6,7,1033},{6,7,409},{7,6,1152},{6,7,656},{6,7,656},{4,7,9},{7,6,1184},{4,7,9},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},
{0,7,0},{7,7,98},{0,7,0},{5,0,1730},{5,0,1730},{5,0,1730},{5,0,1730},{5,7,397},{5,7,397},{5,7,397},{4,7,234},{3,7,164},{3,7,164},{6,7,4194},{6,7,3570},{6,7,3170},{6,7,2546},{6,7,4137},{5,7,2365},{5,7,1341},{5,7,185},{5,7,3876},{3,7,324},{7,7,771},{7,7,699},{7,7,650},{6,7,521},{7,7,1083},{6,7,864},{6,7,464},{4,7,25},{7,7,1187},
{4,7,25},{6,7,3170},{6,7,3170},{6,7,3170},{6,7,2546},{6,7,3113},{5,7,1341},{5,7,1341},{5,7,185},{4,7,2491},{3,7,324},{7,7,650},{7,7,650},{7,7,650},{6,7,521},{7,6,832},{6,7,464},{6,7,464},{4,7,25},{6,7,800},{4,7,25},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{5,0,2146},
{5,0,2146},{5,0,2146},{5,0,2146},{5,7,317},{5,7,317},{5,7,317},{5,7,185},{3,7,324},{3,7,324},{6,7,3778},{6,7,3154},{6,7,2754},{6,7,2130},{6,7,3417},{6,7,2169},{5,7,1517},{5,7,9},{5,7,3204},{4,7,338},{7,7,467},{7,7,395},{7,7,346},{7,7,274},{7,7,683},{7,7,539},{6,7,400},{5,7,0},{7,7,723},{5,7,0},{6,7,2754},{6,7,2754},{6,7,2754},
{6,7,2130},{6,7,2393},{5,7,1517},{5,7,1517},{5,7,9},{5,7,2180},{4,7,338},{7,7,346},{7,7,346},{7,7,346},{7,7,274},{7,7,562},{6,7,400},{6,7,400},{5,7,0},{6,7,544},{5,7,0},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,1730},{6,0,1730},{6,0,1730},{6,0,1730},{5,7,493},
{5,7,493},{5,7,493},{5,7,9},{4,7,338},{4,7,338},{6,7,3618},{6,7,2994},{6,7,2594},{6,7,1970},{6,7,2953},{6,7,1705},{6,7,1305},{5,7,89},{5,7,2788},{4,7,466},{7,7,291},{7,7,219},{7,7,170},{7,7,98},{7,7,411},{7,7,267},{7,7,218},{6,7,16},{7,7,387},{6,7,16},{6,7,2594},{6,7,2594},{6,7,2594},{6,7,1970},{6,7,1929},{6,7,1305},{6,7,1305},
{5,7,89},{5,7,1764},{4,7,466},{7,7,170},{7,7,170},{7,7,170},{7,7,98},{7,7,290},{7,7,218},{7,7,218},{6,7,16},{7,7,338},{6,7,16},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,1570},{6,0,1570},{6,0,1570},{6,0,1570},{6,7,905},{6,7,905},{6,7,905},{5,7,89},{4,7,466},
{4,7,466},{0,5,2665},{0,4,697},{0,3,290},{0,2,841},{0,3,5901},{0,2,4170},{0,2,1802},{0,1,4310},{0,1,6951},{0,1,4671},{0,5,2665},{0,4,697},{0,3,290},{0,2,841},{2,0,5893},{0,2,4170},{0,2,1802},{0,1,4310},{3,0,5893},{0,1,4310},{0,2,4},{0,2,4},{0,2,4},{0,1,4},{0,1,557},{0,1,365},{0,1,365},{0,0,356},{0,0,665},{0,0,392},{0,2,4},
{0,2,4},{0,2,4},{0,1,4},{0,1,557},{0,1,365},{0,1,365},{0,0,356},{0,0,629},{0,0,356},{3,0,2665},{0,4,697},{0,3,290},{0,2,841},{3,0,2665},{3,1,2665},{0,2,841},{0,2,3145},{3,1,2665},{0,2,3145},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,6,2705},{0,4,617},{0,3,34},
{0,2,985},{0,4,6754},{0,3,4625},{0,2,1946},{0,1,5030},{0,2,7635},{0,1,5391},{0,6,2705},{0,4,617},{0,3,34},{0,2,985},{1,2,6674},{0,3,4625},{0,2,1946},{0,1,5030},{0,2,6674},{0,1,5030},{0,3,9},{0,3,9},{0,3,9},{0,1,100},{0,1,845},{0,1,461},{0,1,461},{0,0,676},{0,0,1097},{0,0,712},{0,3,9},{0,3,9},{0,3,9},{0,1,100},{0,1,845},
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{0,2,5474},{0,2,8547},{0,1,6367},{0,6,2689},{0,5,477},{0,3,34},{0,3,634},{0,4,7538},{0,3,4865},{0,2,2346},{0,2,5474},{2,1,7538},{0,2,5474},{0,3,25},{0,3,25},{0,3,25},{0,2,16},{0,1,1261},{0,1,685},{0,1,685},{0,1,965},{0,1,1646},{0,0,1160},{0,3,25},{0,3,25},{0,3,25},{0,2,16},{1,0,1213},{0,1,685},{0,1,685},{0,1,965},{1,0,1205},
{0,1,965},{2,3,2669},{0,5,477},{0,3,34},{0,3,634},{2,3,2669},{6,0,2669},{0,3,634},{0,2,2665},{6,0,2669},{0,2,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,7,2669},{0,5,365},{0,3,290},{0,3,410},{0,4,8578},{0,3,5361},{0,3,2346},{0,2,5618},{0,2,9715},{0,2,6579},{0,7,2669},
{0,5,365},{0,3,290},{0,3,410},{2,1,8498},{0,3,5361},{0,3,2346},{0,2,5618},{4,0,8498},{0,2,5618},{0,4,0},{0,4,0},{0,4,0},{0,2,16},{0,2,1637},{0,2,977},{0,2,977},{0,1,997},{0,1,1998},{0,1,1358},{0,4,0},{0,4,0},{0,4,0},{0,2,16},{1,0,1629},{0,2,977},{0,2,977},{0,1,997},{0,1,1637},{0,1,997},{3,2,2669},{0,5,365},{1,3,185},
{0,3,410},{3,2,2669},{5,1,2669},{0,3,410},{0,2,2809},{5,1,2669},{0,2,2809},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,7,2777},{0,6,257},{0,4,277},{0,3,464},{0,5,9677},{0,4,6026},{0,3,2400},{0,2,6086},{0,2,11335},{0,2,7047},{0,7,2777},{0,6,257},{0,4,277},{0,3,464},{3,0,9677},
{0,4,6026},{0,3,2400},{0,2,6086},{3,1,9677},{0,2,6086},{0,5,16},{0,5,16},{0,5,16},{0,3,64},{0,2,2186},{0,2,1130},{0,2,1130},{0,1,1186},{0,1,2547},{0,1,1547},{0,5,16},{0,5,16},{0,5,16},{0,3,64},{0,2,2186},{0,2,1130},{0,2,1130},{0,1,1186},{0,1,2186},{0,1,1186},{4,1,2669},{0,6,257},{0,4,277},{0,3,464},{4,1,2669},{4,2,2669},{0,3,464},
{0,3,3209},{4,2,2669},{0,3,3209},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,7,3209},{0,6,209},{0,4,389},{0,4,541},{0,6,9765},{0,4,5546},{0,3,2080},{0,2,5990},{0,3,11621},{0,2,6951},{0,7,3209},{0,6,209},{0,4,389},{0,4,541},{1,4,9677},{0,4,5546},{0,3,2080},{0,2,5990},{2,2,9677},
{0,2,5990},{0,5,80},{0,5,80},{0,5,80},{0,3,64},{0,3,2196},{0,2,970},{0,2,970},{0,1,1058},{0,1,2739},{0,1,1419},{0,5,80},{0,5,80},{0,5,80},{0,3,64},{1,1,2180},{0,2,970},{0,2,970},{0,1,1058},{1,1,2196},{0,1,1058},{5,0,2669},{0,6,145},{1,4,52},{0,4,477},{5,0,2669},{3,3,2669},{0,4,477},{0,3,2809},{3,3,2669},{0,3,2809},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,40},{0,0,40},{0,7,4025},{0,7,441},{0,4,885},{0,4,429},{0,6,9685},{0,4,5450},{0,4,1854},{0,3,6029},{0,3,11925},{0,2,7239},{1,7,3001},{0,7,441},{1,4,344},{0,4,429},{3,1,9685},{0,4,5450},{0,4,1854},{0,3,6029},{4,1,9685},{0,3,6029},{0,6,256},{0,6,256},{0,6,256},
{0,3,320},{0,3,2228},{0,3,848},{0,3,848},{0,1,1186},{0,2,3171},{0,1,1547},{0,6,256},{0,6,256},{0,6,256},{0,3,320},{2,0,2180},{0,3,848},{0,3,848},{0,1,1186},{3,0,2180},{0,1,1186},{4,2,2677},{0,7,185},{1,4,20},{0,4,173},{4,2,2677},{7,1,2677},{0,4,173},{0,3,2665},{7,1,2677},{0,3,2665},{0,0,256},{0,0,256},{0,0,256},{0,0,256},{0,1,9},
{0,1,9},{0,1,9},{0,0,36},{0,0,72},{0,0,72},{1,7,4141},{0,7,617},{1,4,1500},{0,4,701},{0,7,9690},{0,5,5001},{0,4,1214},{0,3,5277},{0,3,12613},{0,3,7213},{1,7,2985},{1,6,465},{1,4,344},{1,4,524},{4,0,9674},{0,5,5001},{0,4,1214},{0,3,5277},{3,2,9674},{0,3,5277},{0,7,601},{0,7,601},{0,7,601},{0,4,601},{0,4,2178},{0,3,656},{0,3,656},
{0,2,866},{0,2,3171},{0,2,1827},{1,5,101},{1,5,101},{1,5,101},{1,3,109},{0,4,2178},{0,3,656},{0,3,656},{0,2,866},{2,1,2178},{0,2,866},{5,1,2669},{0,7,41},{2,4,181},{0,4,125},{5,1,2669},{4,3,2669},{0,4,125},{0,3,2777},{4,3,2669},{0,3,2777},{0,0,576},{0,0,576},{0,0,576},{0,0,576},{0,1,25},{0,1,25},{0,1,25},{0,1,49},{0,0,232},
{0,0,232},{1,7,4582},{0,7,1274},{1,5,1446},{0,4,1466},{0,7,9789},{0,5,4794},{0,4,953},{0,3,4890},{0,4,13038},{0,3,6826},{1,7,3426},{1,7,290},{1,5,290},{1,4,443},{2,4,9685},{0,5,4794},{0,4,953},{0,3,4890},{7,0,9685},{0,3,4890},{0,7,1105},{0,7,1105},{0,7,1105},{0,4,1105},{0,5,2210},{0,4,592},{0,4,592},{0,2,596},{0,2,3477},{0,2,1557},{1,6,26},
{1,6,26},{1,6,26},{1,4,82},{1,3,2180},{0,4,592},{0,4,592},{0,2,596},{1,2,2180},{0,2,596},{6,0,2677},{0,7,185},{1,5,289},{0,4,377},{6,0,2677},{5,3,2677},{0,4,377},{0,3,3209},{5,3,2677},{0,3,3209},{0,0,1089},{0,0,1089},{0,0,1089},{0,0,1089},{0,2,4},{0,2,4},{0,2,4},{0,1,4},{0,1,365},{0,1,365},{1,7,5382},{1,7,1350},{1,5,1510},
{1,5,1738},{0,7,10285},{0,6,4406},{0,5,971},{0,3,4954},{0,4,13534},{0,3,6890},{2,7,3454},{1,7,194},{1,5,354},{1,5,582},{3,3,9674},{0,6,4406},{0,5,971},{0,3,4954},{6,1,9674},{0,3,4954},{1,6,1214},{1,6,1214},{1,6,1214},{1,4,1206},{0,5,2210},{0,4,400},{0,4,400},{0,2,628},{0,2,4021},{0,2,1589},{1,6,58},{1,6,58},{1,6,58},{1,4,50},{2,2,2178},
{0,4,400},{0,4,400},{0,2,628},{5,0,2178},{0,2,628},{4,4,2669},{1,7,145},{2,5,74},{0,5,130},{4,4,2669},{7,2,2669},{0,5,130},{0,4,2845},{7,2,2669},{0,4,2845},{1,0,1205},{1,0,1205},{1,0,1205},{1,0,1205},{0,3,9},{0,3,9},{0,3,9},{0,1,100},{0,1,461},{0,1,461},{1,7,6566},{1,7,1638},{1,5,1958},{1,5,1578},{1,7,10830},{0,6,4118},{0,5,443},
{0,4,4785},{0,4,14414},{0,3,7338},{2,7,3390},{1,7,482},{2,5,371},{1,5,422},{4,2,9674},{0,6,4118},{0,5,443},{0,4,4785},{5,2,9674},{0,4,4785},{1,7,1382},{1,7,1382},{1,7,1382},{1,4,1430},{0,6,2178},{0,5,442},{0,5,442},{0,3,641},{0,3,4242},{0,2,1877},{1,7,226},{1,7,226},{1,7,226},{1,4,274},{3,1,2178},{0,5,442},{0,5,442},{0,3,641},{4,1,2178},
{0,3,641},{5,3,2669},{1,7,257},{2,5,10},{0,5,2},{5,3,2669},{6,3,2669},{0,5,2},{0,4,2669},{6,3,2669},{0,4,2669},{1,0,1381},{1,0,1381},{1,0,1381},{1,0,1381},{0,3,25},{0,3,25},{0,3,25},{0,2,16},{0,1,685},{0,1,685},{1,7,8134},{1,7,2310},{1,6,2671},{1,5,1802},{1,7,11086},{0,7,4109},{0,5,299},{0,4,4193},{0,5,14830},{0,4,7442},{2,7,3710},
{2,7,490},{2,5,323},{2,5,563},{5,1,9669},{0,7,4109},{0,5,299},{0,4,4193},{4,3,9669},{0,4,4193},{1,7,1734},{1,7,1734},{1,7,1734},{1,5,1721},{0,7,2228},{0,5,218},{0,5,218},{0,3,305},{0,3,4626},{0,3,2241},{2,6,125},{2,6,125},{2,6,125},{2,4,125},{4,0,2180},{0,5,218},{0,5,218},{0,3,305},{3,2,2180},{0,3,305},{6,2,2665},{2,7,369},{3,5,181},
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{0,7,3686},{0,6,548},{0,4,3986},{3,4,9674},{0,4,3986},{1,7,2436},{1,7,2436},{1,7,2436},{1,5,2189},{0,7,2210},{0,5,272},{0,5,272},{0,3,233},{0,3,5364},{0,3,2169},{2,7,40},{2,7,40},{2,7,40},{2,5,104},{2,4,2178},{0,5,272},{0,5,272},{0,3,233},{7,0,2178},{0,3,233},{7,1,2669},{2,7,477},{2,6,305},{0,6,292},{7,1,2669},{4,5,2669},{0,6,292},
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{1,0,2689},{1,0,2689},{1,0,2689},{0,5,17},{0,5,17},{0,5,17},{0,3,1},{0,2,1341},{0,2,1341},{2,7,10666},{2,7,5146},{2,6,4206},{1,6,2933},{2,7,13606},{0,7,4215},{0,6,181},{0,5,3914},{0,6,15454},{0,4,7122},{3,7,4365},{3,7,1097},{3,6,404},{2,6,421},{5,3,9669},{1,7,4133},{0,6,100},{0,5,3833},{6,3,9669},{0,5,3833},{2,7,3777},{2,7,3777},{2,7,3777},
{1,6,2933},{1,7,2805},{0,6,181},{0,6,181},{0,4,275},{0,4,5282},{0,3,2130},{2,7,296},{2,7,296},{2,7,296},{2,5,232},{4,2,2180},{0,6,100},{0,6,100},{0,4,194},{5,2,2180},{0,4,194},{6,4,2665},{3,7,697},{3,6,4},{1,6,4},{6,4,2665},{7,4,2665},{1,6,4},{0,5,2677},{7,4,2665},{0,5,2677},{1,0,2929},{1,0,2929},{1,0,2929},{1,0,2929},{0,6,81},
{0,6,81},{0,6,81},{0,3,145},{0,3,1289},{0,3,1289},{2,7,11690},{2,7,5434},{2,7,4085},{2,6,3198},{2,7,13510},{1,7,4470},{1,6,585},{0,5,3690},{0,6,15134},{0,5,6210},{3,7,5053},{3,7,1177},{3,6,308},{2,6,597},{6,2,9670},{1,7,4181},{1,6,296},{0,5,3401},{5,4,9670},{0,5,3401},{2,7,3409},{2,7,3409},{2,7,3409},{2,6,3134},{1,7,2565},{0,7,323},{0,7,323},
{0,4,323},{0,5,5085},{0,4,1634},{3,7,153},{3,7,153},{3,7,153},{3,5,145},{5,1,2186},{0,7,34},{0,7,34},{0,4,34},{7,1,2186},{0,4,34},{7,3,2665},{4,7,937},{3,6,164},{1,6,100},{7,3,2665},{6,5,2665},{1,6,100},{0,5,2725},{6,5,2665},{0,5,2725},{2,0,3085},{2,0,3085},{2,0,3085},{2,0,3085},{1,5,290},{1,5,290},{1,5,290},{1,3,298},{0,3,985},
{0,3,985},{3,7,12062},{2,7,6370},{2,7,3743},{2,6,3018},{2,7,14014},{1,7,4758},{1,6,603},{1,5,4049},{0,7,14638},{0,5,5310},{4,7,4958},{3,7,1726},{3,7,334},{3,6,419},{7,1,9669},{1,7,4694},{0,7,341},{0,5,3374},{4,5,9669},{0,5,3374},{2,7,3454},{2,7,3454},{2,7,3454},{2,6,2729},{1,7,2754},{1,6,314},{1,6,314},{1,4,289},{0,5,4626},{0,4,1121},{3,7,45},
{3,7,45},{3,7,45},{3,5,109},{6,0,2180},{0,7,52},{0,7,52},{0,4,160},{3,4,2180},{0,4,160},{5,7,2665},{4,7,1009},{4,6,293},{2,6,293},{5,7,2665},{5,6,2665},{2,6,293},{0,5,3085},{5,6,2665},{0,5,3085},{2,0,2725},{2,0,2725},{2,0,2725},{2,0,2725},{1,6,89},{1,6,89},{1,6,89},{1,4,145},{0,3,949},{0,3,949},{3,7,12414},{3,7,7246},{2,7,3983},
{2,7,2879},{2,7,15006},{1,7,5558},{1,7,163},{1,5,4161},{0,7,14190},{0,5,5054},{4,7,5246},{4,7,2186},{3,7,302},{3,6,659},{5,5,9670},{2,7,4926},{1,7,163},{0,5,3758},{3,6,9670},{0,5,3758},{2,7,3902},{2,7,3902},{2,7,3902},{2,6,2777},{1,7,3330},{1,7,82},{1,7,82},{1,4,401},{0,6,4490},{0,4,1073},{3,7,221},{3,7,221},{3,7,221},{3,6,34},{5,2,2186},
{1,7,82},{1,7,82},{0,5,277},{7,2,2186},{0,5,277},{6,6,2665},{5,7,1313},{4,7,130},{1,7,82},{6,6,2665},{4,7,2665},{1,7,82},{0,6,2929},{4,7,2665},{0,6,2929},{2,0,2677},{2,0,2677},{2,0,2677},{2,0,2677},{1,6,9},{1,6,9},{1,6,9},{1,4,1},{0,4,673},{0,4,673},{3,7,13278},{3,7,7502},{3,7,4254},{2,7,2895},{3,7,15045},{2,7,6114},{1,7,147},
{1,6,3978},{0,7,14254},{0,6,4818},{4,7,5918},{4,7,2378},{4,7,443},{3,7,426},{6,4,9670},{2,7,5438},{1,7,83},{0,6,3218},{7,4,9670},{0,6,3218},{3,7,4253},{3,7,4253},{3,7,4253},{2,7,2894},{2,7,3054},{1,7,146},{1,7,146},{1,5,296},{0,6,3978},{0,5,821},{4,7,442},{4,7,442},{4,7,442},{3,6,194},{6,1,2186},{1,7,82},{1,7,82},{0,5,37},{6,3,2186},
{0,5,37},{7,5,2665},{5,7,1361},{4,7,2},{2,7,10},{7,5,2665},{6,6,2689},{2,7,10},{0,6,2689},{6,6,2689},{0,6,2689},{2,0,2885},{2,0,2885},{2,0,2885},{2,0,2885},{1,7,65},{1,7,65},{1,7,65},{1,4,113},{0,4,625},{0,4,625},{3,7,13261},{3,7,7409},{3,7,4045},{3,7,3209},{3,7,14116},{2,7,5615},{2,7,574},{1,6,3165},{0,7,13437},{0,6,3429},{5,7,5269},
{4,7,2275},{4,7,250},{3,7,505},{5,6,8712},{3,7,4724},{2,7,250},{0,6,2405},{4,6,8712},{0,6,2405},{3,7,4045},{3,7,4045},{3,7,4045},{3,7,3209},{2,7,3150},{2,7,574},{2,7,574},{1,5,296},{0,6,3850},{0,5,453},{4,7,250},{4,7,250},{4,7,250},{4,6,169},{7,0,2180},{2,7,250},{2,7,250},{1,5,40},{3,5,2180},{1,5,40},{6,7,2180},{5,7,1168},{4,7,81},
{2,7,25},{6,7,2180},{5,7,2180},{2,7,25},{0,6,2180},{5,7,2180},{0,6,2180},{3,0,3145},{3,0,3145},{3,0,3145},{3,0,3145},{1,7,305},{1,7,305},{1,7,305},{1,5,292},{0,5,449},{0,5,449},{4,7,11894},{3,7,7634},{3,7,4270},{3,7,2750},{3,7,13315},{2,7,5354},{2,7,313},{1,6,2634},{1,7,12414},{0,6,2250},{5,7,4369},{4,7,2365},{4,7,340},{4,7,160},{7,3,7590},
{3,7,4094},{2,7,232},{0,6,1721},{6,5,7590},{0,6,1721},{3,7,4270},{3,7,4270},{3,7,4270},{3,7,2750},{2,7,3717},{2,7,313},{2,7,313},{2,5,302},{0,7,3546},{0,5,498},{4,7,340},{4,7,340},{4,7,340},{4,6,97},{7,1,2186},{2,7,232},{2,7,232},{1,5,130},{7,3,2186},{1,5,130},{6,7,1649},{6,7,1025},{5,7,9},{3,7,1},{6,7,1649},{7,6,1625},{3,7,1},
{0,6,1685},{7,6,1625},{0,6,1685},{3,0,2749},{3,0,2749},{3,0,2749},{3,0,2749},{2,7,117},{2,7,117},{2,7,117},{2,5,181},{0,5,377},{0,5,377},{4,7,11078},{4,7,7478},{3,7,4878},{3,7,2750},{4,7,12662},{3,7,5031},{2,7,489},{2,6,1911},{1,7,11470},{0,6,1610},{5,7,3841},{5,7,1949},{4,7,692},{4,7,32},{5,7,6662},{4,7,3641},{3,7,442},{0,6,1385},{5,6,6662},
{0,6,1385},{3,7,4878},{3,7,4878},{3,7,4878},{3,7,2750},{3,7,3795},{2,7,489},{2,7,489},{2,5,366},{0,7,3354},{0,6,454},{4,7,692},{4,7,692},{4,7,692},{4,7,32},{6,3,2180},{3,7,442},{3,7,442},{0,6,229},{6,4,2180},{0,6,229},{7,6,1201},{6,7,689},{5,7,25},{4,7,16},{7,6,1201},{7,6,1225},{4,7,16},{0,6,1381},{7,6,1225},{0,6,1381},{3,0,2669},
{3,0,2669},{3,0,2669},{3,0,2669},{2,7,5},{2,7,5},{2,7,5},{2,5,5},{0,6,229},{0,6,229},{4,7,10646},{4,7,7046},{4,7,5021},{3,7,3134},{4,7,11526},{3,7,4503},{2,7,1049},{2,6,1479},{1,7,10910},{0,6,1354},{5,7,3569},{5,7,1677},{5,7,653},{4,7,160},{7,4,5829},{4,7,3065},{3,7,410},{1,6,1209},{7,5,5829},{1,6,1209},{4,7,5021},{4,7,5021},{4,7,5021},
{3,7,3134},{3,7,3875},{2,7,1049},{2,7,1049},{2,6,323},{0,7,3546},{0,6,198},{5,7,653},{5,7,653},{5,7,653},{4,7,160},{7,2,2180},{3,7,410},{3,7,410},{1,6,53},{5,5,2180},{1,6,53},{7,6,865},{6,7,481},{6,7,81},{4,7,16},{7,6,865},{6,7,841},{4,7,16},{0,6,1205},{6,7,841},{0,6,1205},{3,0,2845},{3,0,2845},{3,0,2845},{3,0,2845},{2,7,149},
{2,7,149},{2,7,149},{2,5,85},{0,6,149},{0,6,149},{4,7,10598},{4,7,6998},{4,7,4973},{4,7,3353},{4,7,10774},{3,7,4359},{3,7,995},{2,6,1431},{2,7,10294},{0,7,1242},{6,7,3329},{5,7,1661},{5,7,637},{5,7,197},{6,6,5085},{4,7,2745},{3,7,634},{0,7,1098},{4,7,5085},{0,7,1098},{4,7,4973},{4,7,4973},{4,7,4973},{4,7,3353},{3,7,4339},{3,7,995},{3,7,995},
{2,6,275},{1,7,3845},{0,6,326},{5,7,637},{5,7,637},{5,7,637},{5,7,197},{5,6,2178},{3,7,634},{3,7,634},{1,6,37},{4,6,2178},{1,6,37},{7,7,605},{6,7,401},{6,7,1},{5,7,1},{7,7,605},{6,7,569},{5,7,1},{0,7,1089},{6,7,569},{0,7,1089},{4,0,3209},{4,0,3209},{4,0,3209},{4,0,3209},{3,7,370},{3,7,370},{3,7,370},{2,6,274},{0,7,153},
{0,7,153},{5,7,9925},{4,7,7403},{4,7,5378},{4,7,3218},{4,7,10387},{4,7,4627},{3,7,1292},{3,6,1477},{2,7,9727},{0,7,621},{6,7,2609},{5,7,1949},{5,7,925},{5,7,89},{7,5,4347},{5,7,2384},{4,7,666},{0,7,612},{6,6,4371},{0,7,612},{4,7,5378},{4,7,5378},{4,7,5378},{4,7,3218},{4,7,4762},{3,7,1292},{3,7,1292},{3,6,321},{1,7,4106},{1,6,469},{5,7,925},
{5,7,925},{5,7,925},{5,7,89},{6,5,2180},{4,7,666},{4,7,666},{2,6,104},{3,7,2180},{2,6,104},{7,7,290},{7,7,218},{6,7,64},{6,7,16},{7,7,290},{7,7,338},{6,7,16},{0,7,576},{7,7,338},{0,7,576},{4,0,2777},{4,0,2777},{4,0,2777},{4,0,2777},{3,7,136},{3,7,136},{3,7,136},{3,5,200},{0,7,45},{0,7,45},{5,7,9269},{5,7,7377},{4,7,6146},
{4,7,3506},{5,7,10044},{4,7,4211},{3,7,1964},{3,7,836},{3,7,9185},{0,7,477},{6,7,2241},{6,7,1617},{6,7,1217},{5,7,265},{6,7,3780},{5,7,2064},{4,7,890},{1,7,257},{5,7,3780},{1,7,257},{4,7,6146},{4,7,6146},{4,7,6146},{4,7,3506},{4,7,4826},{3,7,1964},{3,7,1964},{3,6,337},{2,7,4590},{0,7,477},{6,7,1217},{6,7,1217},{6,7,1217},{5,7,265},{7,4,2178},
{4,7,890},{4,7,890},{1,7,257},{7,5,2178},{1,7,257},{7,7,146},{7,7,74},{7,7,25},{6,7,16},{7,7,146},{7,7,130},{6,7,16},{0,7,256},{7,7,130},{0,7,256},{4,0,2665},{4,0,2665},{4,0,2665},{4,0,2665},{3,7,200},{3,7,200},{3,7,200},{3,6,13},{0,7,221},{0,7,221},{5,7,8997},{5,7,7105},{5,7,6081},{4,7,4178},{5,7,9276},{4,7,4179},{4,7,2154},
{3,7,356},{3,7,8721},{1,7,209},{6,7,2129},{6,7,1505},{6,7,1105},{6,7,673},{7,6,3332},{5,7,2000},{5,7,976},{2,7,73},{7,6,3300},{2,7,73},{5,7,6081},{5,7,6081},{5,7,6081},{4,7,4178},{4,7,5274},{4,7,2154},{4,7,2154},{3,7,356},{2,7,4878},{1,7,209},{6,7,1105},{6,7,1105},{6,7,1105},{6,7,673},{7,5,2210},{5,7,976},{5,7,976},{2,7,73},{6,6,2178},
{2,7,73},{7,7,130},{7,7,58},{7,7,9},{7,7,1},{7,7,130},{7,7,50},{7,7,1},{0,7,64},{7,7,50},{0,7,64},{4,0,2809},{4,0,2809},{4,0,2809},{4,0,2809},{3,7,520},{3,7,520},{3,7,520},{3,6,61},{1,7,145},{1,7,145},{5,7,9109},{5,7,7217},{5,7,6193},{5,7,4301},{5,7,8892},{4,7,4531},{4,7,2506},{3,7,260},{4,7,8587},{1,7,289},{6,7,2273},
{6,7,1649},{6,7,1249},{6,7,625},{7,6,2916},{6,7,1956},{5,7,1168},{2,7,25},{6,7,2916},{2,7,25},{5,7,6193},{5,7,6193},{5,7,6193},{5,7,4301},{5,7,5976},{4,7,2506},{4,7,2506},{3,7,260},{3,7,5277},{1,7,289},{6,7,1249},{6,7,1249},{6,7,1249},{6,7,625},{6,7,2180},{5,7,1168},{5,7,1168},{2,7,25},{5,7,2180},{2,7,25},{7,7,242},{7,7,170},{7,7,121},
{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{4,0,3209},{4,0,3209},{4,0,3209},{4,0,3209},{4,7,481},{4,7,481},{4,7,481},{3,7,260},{1,7,289},{1,7,289},{6,7,8325},{5,7,6749},{5,7,5725},{5,7,3833},{5,7,7866},{5,7,4082},{4,7,2470},{4,7,265},{4,7,7219},{2,7,365},{7,7,1842},{6,7,1460},{6,7,1060},{6,7,436},{7,6,2241},
{6,7,1425},{6,7,1025},{3,7,1},{6,7,2169},{3,7,1},{5,7,5725},{5,7,5725},{5,7,5725},{5,7,3833},{5,7,4950},{4,7,2470},{4,7,2470},{4,7,265},{3,7,4521},{2,7,365},{6,7,1060},{6,7,1060},{6,7,1060},{6,7,436},{6,7,1649},{6,7,1025},{6,7,1025},{3,7,1},{7,6,1625},{3,7,1},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},
{0,7,0},{7,7,98},{0,7,0},{5,0,2809},{5,0,2809},{5,0,2809},{5,0,2809},{4,7,445},{4,7,445},{4,7,445},{4,6,202},{2,7,365},{2,7,365},{6,7,7093},{6,7,6469},{5,7,5581},{5,7,3689},{5,7,7226},{5,7,3442},{5,7,2418},{4,7,25},{4,7,6275},{2,7,509},{7,7,1266},{7,7,1194},{6,7,1028},{6,7,404},{7,7,1686},{6,7,1089},{6,7,689},{4,7,16},{6,7,1641},
{4,7,16},{5,7,5581},{5,7,5581},{5,7,5581},{5,7,3689},{5,7,4310},{5,7,2418},{5,7,2418},{4,7,25},{3,7,4121},{2,7,509},{6,7,1028},{6,7,1028},{6,7,1028},{6,7,404},{7,6,1201},{6,7,689},{6,7,689},{4,7,16},{7,6,1225},{4,7,16},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{5,0,2665},
{5,0,2665},{5,0,2665},{5,0,2665},{4,7,685},{4,7,685},{4,7,685},{4,7,25},{2,7,509},{2,7,509},{6,7,6117},{6,7,5493},{6,7,5093},{5,7,3801},{6,7,6098},{5,7,3058},{5,7,2034},{4,7,41},{4,7,5587},{3,7,613},{7,7,818},{7,7,746},{7,7,697},{6,7,500},{7,7,1142},{6,7,881},{6,7,481},{4,7,16},{6,7,1241},{4,7,16},{6,7,5093},{6,7,5093},{6,7,5093},
{5,7,3801},{5,7,3926},{5,7,2034},{5,7,2034},{4,7,41},{4,7,3562},{3,7,613},{7,7,697},{7,7,697},{7,7,697},{6,7,500},{7,6,865},{6,7,481},{6,7,481},{4,7,16},{6,7,841},{4,7,16},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{5,0,2777},{5,0,2777},{5,0,2777},{5,0,2777},{5,7,1010},
{5,7,1010},{5,7,1010},{4,7,41},{3,7,613},{3,7,613},{6,7,5397},{6,7,4773},{6,7,4373},{6,7,3749},{6,7,5074},{5,7,2930},{5,7,1906},{4,7,313},{5,7,4753},{3,7,725},{7,7,498},{7,7,426},{7,7,377},{7,7,305},{7,7,726},{7,7,582},{6,7,401},{5,7,1},{7,7,774},{5,7,1},{6,7,4373},{6,7,4373},{6,7,4373},{6,7,3749},{5,7,3798},{5,7,1906},{5,7,1906},
{4,7,313},{4,7,3130},{3,7,725},{7,7,377},{7,7,377},{7,7,377},{7,7,305},{7,7,605},{6,7,401},{6,7,401},{5,7,1},{6,7,569},{5,7,1},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{5,0,3145},{5,0,3145},{5,0,3145},{5,0,3145},{5,7,882},{5,7,882},{5,7,882},{4,7,313},{3,7,725},
{3,7,725},{1,7,34142},{0,7,5184},{0,5,609},{0,5,4841},{1,7,46442},{0,7,24449},{0,5,9741},{0,4,24761},{0,5,65162},{0,3,40820},{0,7,10048},{0,7,2880},{0,5,545},{0,4,3204},{1,4,18070},{0,4,13297},{0,4,6453},{0,2,13857},{2,2,18070},{0,2,13857},{0,3,9},{0,3,9},{0,3,9},{0,2,36},{0,1,1145},{0,1,617},{0,1,617},{0,1,977},{0,0,1505},{0,0,1036},{0,3,9},
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{0,4,27705},{0,5,65535},{0,4,43950},{1,7,10854},{0,7,2624},{0,5,193},{0,5,2953},{2,3,20689},{0,5,14598},{0,4,6389},{0,3,15012},{6,0,20689},{0,3,15012},{0,4,36},{0,4,36},{0,4,36},{0,2,100},{0,2,1985},{0,2,1061},{0,2,1061},{0,1,1105},{0,1,2346},{0,1,1466},{0,4,36},{0,4,36},{0,4,36},{0,2,100},{0,2,1985},{0,2,1061},{0,2,1061},{0,1,1105},{0,1,1985},
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{0,7,2880},{0,6,317},{0,5,2425},{4,0,22137},{0,5,15206},{0,4,6741},{0,3,15524},{3,2,22137},{0,3,15524},{0,5,1},{0,5,1},{0,5,1},{0,3,9},{0,2,2561},{0,2,1285},{0,2,1285},{0,1,1361},{0,1,2922},{0,1,1722},{0,5,1},{0,5,1},{0,5,1},{0,3,9},{1,1,2561},{0,2,1285},{0,2,1285},{0,1,1361},{2,0,2521},{0,1,1361},{5,2,9250},{0,7,2880},{0,6,317},
{0,5,2425},{5,2,9250},{5,3,9250},{0,5,2425},{0,4,9640},{5,3,9250},{0,4,9640},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{1,7,58232},{0,7,16470},{0,6,129},{0,6,3489},{1,7,65535},{0,7,31511},{0,6,10213},{0,5,29110},{0,6,65535},{0,4,50444},{1,7,12452},{0,7,3474},{0,6,29},{0,5,2137},{2,4,23851},
{0,6,16172},{0,5,7037},{0,3,16406},{7,0,23851},{0,3,16406},{0,6,4},{0,6,4},{0,6,4},{0,3,36},{0,3,3232},{0,2,1690},{0,2,1690},{0,1,1802},{0,1,3723},{0,1,2163},{0,6,4},{0,6,4},{0,6,4},{0,3,36},{1,1,3200},{0,2,1690},{0,2,1690},{0,1,1802},{2,0,3232},{0,1,1802},{6,1,9256},{1,7,3232},{0,6,29},{0,5,2137},{6,1,9256},{6,3,9256},{0,5,2137},
{0,4,9298},{6,3,9256},{0,4,9298},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{1,7,65535},{0,7,21174},{0,6,81},{0,6,2545},{1,7,65535},{0,7,35191},{0,6,9269},{0,5,30102},{0,6,65535},{0,5,54602},{1,7,13604},{0,7,4274},{0,6,45},{0,5,2153},{4,1,25472},{0,6,16620},{0,5,7053},{0,3,17462},{4,2,25472},
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{0,7,2173},{2,7,65535},{1,7,50747},{0,7,6068},{0,6,28101},{0,7,65535},{0,5,59897},{2,7,15659},{1,7,6963},{1,7,74},{1,6,2046},{6,0,26264},{0,7,15284},{0,6,4470},{0,4,16052},{3,4,26264},{0,4,16052},{1,7,1230},{1,7,1230},{1,7,1230},{0,5,754},{0,5,4450},{0,4,1576},{0,4,1576},{0,2,1972},{0,2,6261},{0,2,2933},{1,7,74},{1,7,74},{1,7,74},{1,5,113},{2,2,4418},
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{0,6,24853},{0,7,65535},{0,5,57545},{3,7,14605},{2,7,6211},{1,7,170},{1,6,1598},{5,2,24379},{0,7,13716},{0,6,3446},{0,5,14549},{5,3,24379},{0,5,14549},{1,7,1326},{1,7,1326},{1,7,1326},{1,5,1157},{0,6,4418},{0,5,1394},{0,5,1394},{0,3,1621},{0,3,6482},{0,2,3221},{1,7,170},{1,7,170},{1,7,170},{1,5,1},{3,1,4418},{0,5,1394},{0,5,1394},{0,3,1621},{4,1,4418},
{0,3,1621},{7,3,7940},{3,7,4264},{2,7,81},{0,7,900},{7,3,7940},{6,5,7940},{0,7,900},{0,5,7988},{6,5,7940},{0,5,7988},{1,0,1157},{1,0,1157},{1,0,1157},{1,0,1157},{0,2,16},{0,2,16},{0,2,16},{0,1,16},{0,1,377},{0,1,377},{2,7,65535},{1,7,40747},{0,7,3613},{0,7,2333},{2,7,65535},{1,7,46779},{0,7,3188},{0,6,21861},{0,7,65535},{0,5,55449},{3,7,13181},
{2,7,5667},{1,7,522},{1,7,1306},{6,1,22571},{0,7,12404},{0,6,2678},{0,5,12453},{4,4,22571},{0,5,12453},{1,7,1678},{1,7,1678},{1,7,1678},{1,5,1301},{0,7,4468},{0,5,1170},{0,5,1170},{0,3,1285},{0,3,6866},{0,3,3221},{1,7,522},{1,7,522},{1,7,522},{1,5,145},{4,0,4420},{0,5,1170},{0,5,1170},{0,3,1285},{3,2,4420},{0,3,1285},{6,5,6964},{3,7,3848},{2,7,1},
{0,7,484},{6,5,6964},{3,7,6964},{0,7,484},{0,5,7124},{3,7,6964},{0,5,7124},{1,0,1237},{1,0,1237},{1,0,1237},{1,0,1237},{0,3,1},{0,3,1},{0,3,1},{0,2,100},{0,1,505},{0,1,505},{2,7,65535},{1,7,41449},{0,7,5305},{0,7,2873},{2,7,65535},{1,7,44997},{0,7,2018},{0,6,18801},{0,7,65535},{0,6,52421},{3,7,11885},{2,7,5361},{2,7,320},{1,7,1000},{5,3,20645},
{0,7,11234},{0,7,2018},{0,5,10401},{6,3,20645},{0,5,10401},{1,7,2380},{1,7,2380},{1,7,2380},{1,6,1496},{0,7,4450},{0,6,964},{0,6,964},{0,3,1213},{0,3,7604},{0,3,3149},{2,7,320},{2,7,320},{2,7,320},{2,5,272},{2,4,4418},{0,6,964},{0,6,964},{0,3,1213},{7,0,4418},{0,3,1213},{5,7,5941},{4,7,3181},{2,7,64},{0,7,169},{5,7,5941},{5,6,5941},{0,7,169},
{0,5,6305},{5,6,5941},{0,5,6305},{1,0,1480},{1,0,1480},{1,0,1480},{1,0,1480},{0,4,25},{0,4,25},{0,4,25},{0,2,1},{0,1,802},{0,1,802},{2,7,65535},{1,7,42345},{0,7,7081},{0,7,3625},{2,7,65535},{1,7,43685},{0,7,1250},{0,6,16353},{0,7,65535},{0,6,49973},{3,7,11005},{3,7,5153},{2,7,320},{2,7,964},{7,0,19026},{1,7,10349},{0,7,1250},{0,5,8849},{3,5,19026},
{0,5,8849},{1,7,3276},{1,7,3276},{1,7,3276},{1,6,1848},{0,7,4706},{0,6,740},{0,6,740},{0,4,1226},{0,4,7955},{0,3,3357},{2,7,320},{2,7,320},{2,7,320},{2,6,145},{3,3,4420},{0,6,740},{0,6,740},{0,4,1226},{6,1,4420},{0,4,1226},{7,4,5105},{4,7,2701},{3,7,25},{0,7,25},{7,4,5105},{7,5,5105},{0,7,25},{0,6,5645},{7,5,5105},{0,6,5645},{1,0,1832},
{1,0,1832},{1,0,1832},{1,0,1832},{0,4,9},{0,4,9},{0,4,9},{0,2,49},{0,2,1010},{0,2,1010},{2,7,65535},{1,7,43497},{1,7,9052},{0,7,4633},{2,7,65535},{1,7,42629},{0,7,738},{0,6,14161},{0,7,65535},{0,6,47781},{3,7,10381},{3,7,4529},{2,7,576},{2,7,484},{5,4,17490},{1,7,9293},{0,7,738},{0,5,7553},{7,3,17490},{0,5,7553},{1,7,4428},{1,7,4428},{1,7,4428},
{1,7,2412},{0,7,5218},{0,7,738},{0,7,738},{0,4,810},{0,4,8467},{0,3,3821},{2,7,576},{2,7,576},{2,7,576},{2,6,1},{4,2,4420},{0,7,738},{0,7,738},{0,4,810},{5,2,4420},{0,4,810},{6,6,4329},{4,7,2349},{3,7,9},{0,7,9},{6,6,4329},{4,7,4329},{0,7,9},{0,6,4637},{4,7,4329},{0,6,4637},{1,0,2312},{1,0,2312},{1,0,2312},{1,0,2312},{0,5,4},
{0,5,4},{0,5,4},{0,3,36},{0,2,1186},{0,2,1186},{2,7,65535},{1,7,44905},{1,7,10460},{0,7,5897},{2,7,65535},{1,7,41829},{0,7,482},{0,6,12225},{0,7,65535},{0,6,45845},{4,7,9325},{3,7,4161},{3,7,797},{2,7,260},{7,1,16034},{1,7,8493},{0,7,482},{0,5,6513},{4,5,16034},{0,5,6513},{2,7,5712},{2,7,5712},{2,7,5712},{1,7,2924},{1,7,5672},{0,7,482},{0,7,482},
{0,4,650},{0,4,9235},{0,4,3899},{3,7,797},{3,7,797},{3,7,797},{2,6,113},{5,1,4426},{0,7,482},{0,7,482},{0,4,650},{7,1,4426},{0,4,650},{6,6,3625},{5,7,1985},{4,7,100},{1,7,4},{6,6,3625},{6,6,3617},{1,7,4},{0,6,3757},{6,6,3617},{0,6,3757},{1,0,2920},{1,0,2920},{1,0,2920},{1,0,2920},{0,5,36},{0,5,36},{0,5,36},{0,3,4},{0,2,1490},
{0,2,1490},{2,7,65535},{1,7,46795},{1,7,12350},{0,7,7625},{2,7,65535},{1,7,41235},{0,7,500},{0,6,10353},{0,7,65535},{0,6,43973},{4,7,8227},{3,7,4053},{3,7,689},{2,7,314},{6,3,14507},{2,7,7875},{0,7,500},{0,5,5649},{6,4,14507},{0,5,5649},{2,7,6594},{2,7,6594},{2,7,6594},{1,7,3806},{1,7,6086},{0,7,500},{0,7,500},{0,4,776},{0,5,9830},{0,4,4025},{3,7,689},
{3,7,689},{3,7,689},{3,6,298},{6,0,4420},{0,7,500},{0,7,500},{0,4,776},{3,4,4420},{0,4,776},{7,5,2890},{5,7,1508},{4,7,1},{2,7,25},{7,5,2890},{6,6,2906},{2,7,25},{0,6,2920},{6,6,2906},{0,6,2920},{1,0,3757},{1,0,3757},{1,0,3757},{1,0,3757},{0,6,9},{0,6,9},{0,6,9},{0,4,100},{0,2,1985},{0,2,1985},{2,7,65535},{1,7,48747},{1,7,14302},
{0,7,9433},{2,7,65535},{1,7,40979},{0,7,788},{0,6,8961},{0,7,65535},{0,6,42581},{4,7,7523},{4,7,3923},{3,7,865},{3,7,181},{7,2,13243},{2,7,7075},{1,7,754},{0,6,4337},{5,5,13243},{0,6,4337},{2,7,7650},{2,7,7650},{2,7,7650},{1,7,4862},{1,7,6726},{0,7,788},{0,7,788},{0,5,529},{0,5,10470},{0,4,4409},{3,7,865},{3,7,865},{3,7,865},{3,7,181},{5,2,4426},
{1,7,754},{1,7,754},{0,5,529},{7,2,4426},{0,5,529},{6,7,2320},{5,7,1220},{4,7,49},{2,7,9},{6,7,2320},{5,7,2320},{2,7,9},{0,6,2312},{5,7,2320},{0,6,2312},{1,0,4637},{1,0,4637},{1,0,4637},{1,0,4637},{0,7,4},{0,7,4},{0,7,4},{0,4,4},{0,3,2297},{0,3,2297},{2,7,65535},{1,7,50955},{1,7,16510},{1,7,10798},{2,7,65535},{1,7,40979},{0,7,1332},
{0,7,6964},{0,7,65535},{0,6,41445},{4,7,7075},{4,7,3475},{3,7,1297},{3,7,5},{6,4,12051},{2,7,6531},{1,7,754},{0,6,3201},{7,4,12051},{0,6,3201},{2,7,8962},{2,7,8962},{2,7,8962},{2,7,5834},{1,7,7622},{0,7,1332},{0,7,1332},{0,5,289},{0,6,11342},{0,4,5049},{3,7,1297},{3,7,1297},{3,7,1297},{3,7,5},{6,1,4426},{1,7,754},{1,7,754},{0,5,289},{6,3,4426},
{0,5,289},{6,7,1808},{5,7,1060},{5,7,36},{3,7,4},{6,7,1808},{7,6,1808},{3,7,4},{0,6,1832},{7,6,1808},{0,6,1832},{1,0,5645},{1,0,5645},{1,0,5645},{1,0,5645},{0,7,36},{0,7,36},{0,7,36},{0,4,36},{0,3,2665},{0,3,2665},{2,7,65535},{1,7,53419},{1,7,18974},{1,7,12366},{2,7,65535},{1,7,41235},{0,7,2132},{0,7,5204},{0,7,65535},{0,6,40565},{5,7,6641},
{4,7,3283},{4,7,1258},{3,7,85},{5,6,10952},{3,7,5900},{1,7,1010},{0,6,2321},{4,6,10952},{0,6,2321},{2,7,10530},{2,7,10530},{2,7,10530},{2,7,6666},{1,7,8774},{0,7,2132},{0,7,2132},{0,5,305},{0,6,11790},{0,5,5205},{4,7,1258},{4,7,1258},{4,7,1258},{3,7,85},{7,0,4420},{1,7,1010},{1,7,1010},{0,5,305},{3,5,4420},{0,5,305},{7,6,1360},{6,7,800},{5,7,4},
{3,7,36},{7,6,1360},{7,6,1360},{3,7,36},{0,6,1480},{7,6,1360},{0,6,1480},{2,0,6305},{2,0,6305},{2,0,6305},{2,0,6305},{0,7,196},{0,7,196},{0,7,196},{0,5,49},{0,3,3161},{0,3,3161},{2,7,65535},{2,7,56301},{1,7,22052},{1,7,14436},{2,7,65535},{1,7,41829},{0,7,3338},{0,7,3530},{0,7,65535},{0,6,39881},{5,7,5741},{4,7,3373},{4,7,1348},{4,7,328},{7,3,9830},
{3,7,5270},{2,7,1184},{0,6,1637},{6,5,9830},{0,6,1637},{2,7,12600},{2,7,12600},{2,7,12600},{2,7,7908},{1,7,10376},{1,7,2760},{1,7,2760},{0,6,481},{0,6,12600},{0,5,5529},{4,7,1348},{4,7,1348},{4,7,1348},{4,7,328},{7,1,4426},{2,7,1184},{2,7,1184},{0,6,481},{7,3,4426},{0,6,481},{7,6,937},{6,7,521},{5,7,121},{4,7,4},{7,6,937},{6,7,929},{4,7,4},
{0,6,1237},{6,7,929},{0,6,1237},{2,0,7124},{2,0,7124},{2,0,7124},{2,0,7124},{0,7,529},{0,7,529},{0,7,529},{0,5,4},{0,4,3778},{0,4,3778},{2,7,65535},{2,7,58413},{1,7,25060},{1,7,16548},{2,7,65535},{1,7,42629},{0,7,4682},{0,7,2314},{0,7,65535},{0,6,39545},{5,7,5213},{5,7,3321},{4,7,1700},{4,7,200},{5,7,8902},{3,7,4982},{2,7,1440},{0,6,1301},{5,6,8902},
{0,6,1301},{3,7,14701},{3,7,14701},{3,7,14701},{2,7,9284},{2,7,11492},{1,7,3560},{1,7,3560},{0,6,145},{0,6,13592},{0,5,6089},{4,7,1700},{4,7,1700},{4,7,1700},{4,7,200},{6,3,4420},{2,7,1440},{2,7,1440},{0,6,145},{6,4,4420},{0,6,145},{7,6,697},{6,7,409},{6,7,9},{5,7,9},{7,6,697},{6,7,625},{5,7,9},{0,6,1157},{6,7,625},{0,6,1157},{2,0,7988},
{2,0,7988},{2,0,7988},{2,0,7988},{0,7,961},{0,7,961},{0,7,961},{0,5,100},{0,4,4210},{0,4,4210},{3,7,65535},{2,7,60781},{1,7,28324},{1,7,18916},{2,7,65535},{1,7,43685},{0,7,6282},{0,7,1354},{0,7,65535},{0,6,39465},{5,7,4941},{5,7,3049},{5,7,2025},{4,7,328},{7,4,8069},{4,7,4465},{3,7,1586},{0,6,1221},{7,5,8069},{0,6,1221},{3,7,16189},{3,7,16189},{3,7,16189},
{2,7,10916},{2,7,12740},{1,7,4616},{1,7,4616},{0,6,65},{0,7,14411},{0,6,6789},{5,7,2025},{5,7,2025},{5,7,2025},{4,7,328},{7,2,4420},{3,7,1586},{3,7,1586},{0,6,65},{5,5,4420},{0,6,65},{7,7,377},{7,7,305},{6,7,25},{5,7,25},{7,7,377},{6,7,449},{5,7,25},{0,7,729},{6,7,449},{0,7,729},{2,0,8980},{2,0,8980},{2,0,8980},{2,0,8980},{1,7,1480},
{1,7,1480},{1,7,1480},{0,6,16},{0,4,4770},{0,4,4770},{3,7,65535},{2,7,59505},{1,7,29984},{1,7,19680},{2,7,65535},{1,7,43137},{0,7,8318},{0,7,830},{0,7,65535},{0,6,34901},{5,7,4925},{5,7,3033},{5,7,2009},{4,7,712},{6,6,7325},{4,7,4145},{3,7,1810},{0,7,650},{4,7,7325},{0,7,650},{3,7,16745},{3,7,16745},{3,7,16745},{2,7,12024},{2,7,13464},{1,7,5556},{1,7,5556},
{0,6,277},{0,7,14139},{0,6,6017},{5,7,2009},{5,7,2009},{5,7,2009},{4,7,712},{5,6,4418},{3,7,1810},{3,7,1810},{0,6,241},{4,6,4418},{0,6,241},{7,7,185},{7,7,113},{7,7,64},{6,7,1},{7,7,185},{7,7,193},{6,7,1},{0,7,361},{7,7,193},{0,7,361},{2,0,9320},{2,0,9320},{2,0,9320},{2,0,9320},{1,7,1460},{1,7,1460},{1,7,1460},{0,6,52},{0,5,4772},
{0,5,4772},{3,7,65535},{2,7,57588},{1,7,32135},{1,7,20823},{3,7,65535},{1,7,42804},{1,7,8359},{0,7,1289},{0,7,65535},{0,6,28970},{6,7,4317},{5,7,3321},{5,7,2297},{5,7,845},{7,5,6587},{5,7,4008},{4,7,2066},{0,7,164},{6,6,6611},{0,7,164},{3,7,17366},{3,7,17366},{3,7,17366},{3,7,12274},{2,7,14427},{2,7,6699},{2,7,6699},{0,7,389},{0,7,13860},{0,6,5234},{5,7,2297},
{5,7,2297},{5,7,2297},{5,7,845},{6,5,4420},{4,7,2066},{4,7,2066},{0,7,164},{3,7,4420},{0,7,164},{7,7,122},{7,7,50},{7,7,1},{7,7,9},{7,7,122},{7,7,58},{7,7,9},{0,7,100},{7,7,58},{0,7,100},{2,0,9698},{2,0,9698},{2,0,9698},{2,0,9698},{1,7,1586},{1,7,1586},{1,7,1586},{0,7,289},{0,5,4250},{0,5,4250},{3,7,65535},{2,7,56836},{2,7,31631},
{1,7,22791},{3,7,65535},{2,7,40532},{1,7,9015},{1,7,778},{0,7,65535},{0,6,24650},{6,7,3949},{6,7,3325},{5,7,2825},{5,7,1021},{6,7,6020},{5,7,3688},{4,7,2290},{0,7,4},{5,7,6020},{0,7,4},{3,7,18326},{3,7,18326},{3,7,18326},{3,7,12626},{3,7,15077},{2,7,7227},{2,7,7227},{1,7,294},{0,7,14020},{0,6,4946},{5,7,2825},{5,7,2825},{5,7,2825},{5,7,1021},{7,4,4418},
{4,7,2290},{4,7,2290},{0,7,4},{7,5,4418},{0,7,4},{7,7,202},{7,7,130},{7,7,81},{7,7,25},{7,7,202},{7,7,74},{7,7,25},{0,7,4},{7,7,74},{0,7,4},{3,0,9490},{3,0,9490},{3,0,9490},{3,0,9490},{1,7,1970},{1,7,1970},{1,7,1970},{1,6,202},{0,6,3922},{0,6,3922},{3,7,65535},{3,7,55466},{2,7,30335},{2,7,21687},{3,7,65535},{2,7,37932},{1,7,9535},
{1,7,70},{0,7,65535},{0,7,20544},{6,7,3417},{6,7,2793},{6,7,2393},{5,7,1033},{6,7,5184},{5,7,3204},{5,7,2180},{1,7,25},{7,6,5168},{1,7,25},{4,7,17611},{4,7,17611},{4,7,17611},{3,7,12630},{3,7,14321},{2,7,7251},{2,7,7251},{1,7,34},{0,7,13376},{0,7,4160},{6,7,2393},{6,7,2393},{6,7,2393},{5,7,1033},{6,6,3874},{5,7,2180},{5,7,2180},{1,7,25},{4,7,3874},
{1,7,25},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{3,0,9266},{3,0,9266},{3,0,9266},{3,0,9266},{2,7,2210},{2,7,2210},{2,7,2210},{1,7,34},{0,6,3442},{0,6,3442},{3,7,65535},{3,7,51210},{2,7,29343},{2,7,20695},{3,7,65535},{2,7,35820},{1,7,10495},{1,7,134},{1,7,65535},{0,7,15936},{6,7,2889},
{6,7,2265},{6,7,1865},{5,7,1049},{7,6,4288},{5,7,2724},{5,7,1700},{1,7,9},{7,6,4272},{1,7,9},{4,7,16555},{4,7,16555},{4,7,16555},{3,7,12662},{3,7,13441},{2,7,7251},{2,7,7251},{1,7,34},{0,7,12608},{0,7,3392},{6,7,1865},{6,7,1865},{6,7,1865},{5,7,1049},{7,5,3218},{5,7,1700},{5,7,1700},{1,7,9},{6,6,3202},{1,7,9},{7,7,242},{7,7,170},{7,7,121},
{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{3,0,9298},{3,0,9298},{3,0,9298},{3,0,9298},{2,7,2210},{2,7,2210},{2,7,2210},{1,7,34},{0,6,3218},{0,6,3218},{4,7,65535},{3,7,47340},{2,7,29145},{2,7,20497},{3,7,65535},{2,7,34362},{2,7,9157},{1,7,1124},{1,7,64598},{0,7,11670},{6,7,2448},{6,7,1824},{6,7,1424},{6,7,800},{7,6,3361},
{6,7,2321},{5,7,1313},{2,7,0},{6,7,3401},{2,7,0},{4,7,15673},{4,7,15673},{4,7,15673},{4,7,12073},{3,7,12757},{3,7,6905},{3,7,6905},{1,7,340},{1,7,11657},{0,7,2834},{6,7,1424},{6,7,1424},{6,7,1424},{6,7,800},{7,5,2525},{5,7,1313},{5,7,1313},{2,7,0},{5,7,2545},{2,7,0},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},
{0,7,0},{7,7,98},{0,7,0},{3,0,9640},{3,0,9640},{3,0,9640},{3,0,9640},{2,7,2516},{2,7,2516},{2,7,2516},{1,7,340},{0,7,2834},{0,7,2834},{4,7,65535},{3,7,44716},{3,7,27896},{2,7,21137},{4,7,65535},{3,7,31853},{2,7,8677},{2,7,784},{1,7,59734},{0,7,8694},{6,7,2192},{6,7,1568},{6,7,1168},{6,7,544},{7,6,2673},{6,7,1761},{5,7,1105},{3,7,25},{6,7,2649},
{3,7,25},{4,7,15161},{4,7,15161},{4,7,15161},{4,7,11561},{4,7,12169},{3,7,6569},{3,7,6569},{2,7,208},{1,7,10889},{0,7,2610},{6,7,1168},{6,7,1168},{6,7,1168},{6,7,544},{6,7,1985},{5,7,1105},{5,7,1105},{3,7,25},{5,7,1985},{3,7,25},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{4,0,9536},
{4,0,9536},{4,0,9536},{4,0,9536},{2,7,3060},{2,7,3060},{2,7,3060},{2,7,208},{0,7,2610},{0,7,2610},{4,7,63766},{3,7,42860},{3,7,26040},{3,7,20188},{4,7,60070},{3,7,29085},{2,7,8965},{2,7,336},{1,7,55638},{0,7,6486},{7,7,1686},{6,7,1440},{6,7,1040},{6,7,416},{7,6,2113},{6,7,1329},{6,7,929},{3,7,9},{6,7,2025},{3,7,9},{4,7,14905},{4,7,14905},{4,7,14905},
{4,7,11305},{4,7,11209},{3,7,6489},{3,7,6489},{2,7,272},{1,7,10377},{0,7,2642},{6,7,1040},{6,7,1040},{6,7,1040},{6,7,416},{7,6,1537},{6,7,929},{6,7,929},{3,7,9},{7,6,1513},{3,7,9},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{4,0,9280},{4,0,9280},{4,0,9280},{4,0,9280},{3,7,3125},
{3,7,3125},{3,7,3125},{2,7,272},{0,7,2642},{0,7,2642},{4,7,59414},{4,7,41414},{3,7,24952},{3,7,19100},{4,7,55014},{3,7,27085},{2,7,10021},{2,7,656},{1,7,52310},{0,7,5046},{7,7,1142},{7,7,1070},{7,7,1021},{6,7,416},{7,7,1538},{6,7,1025},{6,7,625},{4,7,4},{6,7,1529},{4,7,4},{5,7,13964},{5,7,13964},{5,7,13964},{4,7,11305},{4,7,10505},{3,7,6665},{3,7,6665},
{2,7,592},{2,7,9973},{0,7,2930},{7,7,1021},{7,7,1021},{7,7,1021},{6,7,416},{7,6,1105},{6,7,625},{6,7,625},{4,7,4},{6,7,1129},{4,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{4,0,9280},{4,0,9280},{4,0,9280},{4,0,9280},{3,7,3301},{3,7,3301},{3,7,3301},{2,7,592},{0,7,2930},
{0,7,2930},
/**** ended inlining basisu_transcoder_tables_pvrtc2_alpha_33.inc ****/
};
#endif
#endif
static const etc1s_to_atc_solution g_etc1s_to_atc_55[32 * 8 * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS * NUM_ETC1S_TO_ATC_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_atc_55.inc ****/
{0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,1,35},{0,1,27},{0,1,18},{0,1,61},{0,1,52},{0,0,68},{0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,1,35},{0,1,27},{0,1,18},{0,1,61},{1,0,35},{0,1,61},{0,1,1},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{1,0,18},{0,1,10},{0,1,1},{0,1,9},{1,0,18},{0,1,18},{0,1,9},{0,1,36},{0,1,18},{0,1,36},{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},{0,4,56},{0,3,38},{0,2,52},
{0,2,36},{0,4,56},{0,3,35},{0,2,0},{0,2,52},{0,2,88},{0,1,78},{1,3,24},{1,2,14},{1,2,5},{1,2,13},{1,2,51},{0,3,35},{0,2,0},{0,2,52},{2,1,51},{0,2,52},{0,3,37},{0,3,37},{0,3,37},{0,2,36},{0,3,10},{0,2,0},{0,2,0},{0,1,5},{0,1,35},{0,1,14},{1,2,5},{1,2,5},{1,2,5},{1,1,8},{1,1,8},
{0,2,0},{0,2,0},{0,1,5},{1,1,8},{0,1,5},{2,1,18},{0,3,2},{1,2,1},{0,2,0},{2,1,18},{1,2,18},{0,2,0},{0,2,36},{1,2,18},{0,2,36},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,10},{0,1,10},{1,5,56},{1,4,38},{1,3,52},{1,3,36},{1,5,56},{1,4,35},{1,3,0},
{1,3,52},{0,4,72},{0,3,38},{2,4,24},{2,3,14},{2,3,5},{2,3,13},{2,3,51},{0,4,24},{1,3,0},{0,3,37},{3,2,51},{0,3,37},{1,4,37},{1,4,37},{1,4,37},{1,3,36},{1,4,10},{1,3,0},{1,3,0},{1,2,5},{0,3,11},{1,2,14},{2,3,5},{2,3,5},{2,3,5},{2,2,8},{2,2,8},{1,3,0},{1,3,0},{1,2,5},{2,2,8},
{1,2,5},{3,2,18},{1,4,2},{2,3,1},{1,3,0},{3,2,18},{7,0,18},{1,3,0},{0,3,36},{7,0,18},{0,3,36},{1,0,36},{1,0,36},{1,0,36},{1,0,36},{1,3,0},{1,3,0},{1,3,0},{1,2,1},{0,3,2},{0,3,2},{2,6,56},{2,5,38},{2,4,53},{2,4,37},{2,6,56},{2,5,35},{2,4,1},{2,4,66},{0,5,60},{1,4,52},{3,5,24},
{3,4,14},{3,4,6},{3,4,14},{3,4,51},{1,5,24},{2,4,1},{1,4,51},{9,0,51},{1,4,51},{2,5,37},{2,5,37},{2,5,37},{2,4,36},{2,5,10},{2,4,0},{2,4,0},{2,3,5},{1,4,11},{2,3,14},{3,4,5},{3,4,5},{3,4,5},{3,3,8},{3,3,8},{2,4,0},{2,4,0},{2,3,5},{8,0,8},{2,3,5},{4,3,18},{2,5,2},{3,4,2},
{2,4,1},{4,3,18},{8,1,18},{2,4,1},{0,4,50},{8,1,18},{0,4,50},{2,0,36},{2,0,36},{2,0,36},{2,0,36},{2,4,0},{2,4,0},{2,4,0},{2,3,1},{1,4,2},{1,4,2},{3,8,70},{3,6,58},{4,5,69},{3,5,51},{3,7,52},{3,6,25},{3,5,3},{3,5,46},{2,6,60},{2,5,36},{4,6,24},{4,5,14},{4,5,5},{4,5,13},{6,2,51},
{3,6,24},{3,5,2},{2,5,36},{7,3,51},{2,5,36},{3,7,51},{3,7,51},{3,7,51},{3,5,51},{3,6,9},{3,5,3},{3,5,3},{3,4,9},{1,6,12},{3,4,12},{4,5,5},{4,5,5},{4,5,5},{4,4,8},{6,1,8},{3,5,2},{3,5,2},{3,4,8},{11,0,8},{3,4,8},{7,1,18},{3,6,8},{4,5,1},{3,5,1},{7,1,18},{11,1,18},{3,5,1},
{0,5,36},{11,1,18},{0,5,36},{3,0,50},{3,0,50},{3,0,50},{3,0,50},{3,5,2},{3,5,2},{3,5,2},{3,4,5},{2,5,0},{2,5,0},{4,8,56},{4,7,38},{4,6,52},{4,6,36},{4,8,56},{4,7,35},{4,6,0},{4,6,52},{3,7,60},{3,6,36},{5,7,24},{5,6,14},{5,6,5},{5,6,13},{8,1,51},{3,7,35},{4,6,0},{3,6,36},{6,5,51},
{3,6,36},{4,7,37},{4,7,37},{4,7,37},{4,6,36},{4,7,10},{4,6,0},{4,6,0},{4,5,5},{2,7,12},{4,5,14},{5,6,5},{5,6,5},{5,6,5},{5,5,8},{8,0,8},{4,6,0},{4,6,0},{4,5,5},{5,5,8},{4,5,5},{9,0,18},{4,7,2},{5,6,1},{4,6,0},{9,0,18},{15,0,18},{4,6,0},{0,6,36},{15,0,18},{0,6,36},{4,0,36},
{4,0,36},{4,0,36},{4,0,36},{4,6,0},{4,6,0},{4,6,0},{4,5,1},{3,6,0},{3,6,0},{5,9,56},{5,8,38},{5,7,52},{5,7,36},{5,9,56},{5,8,35},{5,7,0},{5,7,52},{3,8,63},{4,7,38},{6,8,24},{6,7,14},{6,7,5},{6,7,13},{9,2,51},{4,8,24},{5,7,0},{4,7,37},{17,0,51},{4,7,37},{5,8,37},{5,8,37},{5,8,37},
{5,7,36},{5,8,10},{5,7,0},{5,7,0},{5,6,5},{4,7,11},{5,6,14},{6,7,5},{6,7,5},{6,7,5},{6,6,8},{9,1,8},{5,7,0},{5,7,0},{5,6,5},{16,0,8},{5,6,5},{10,1,18},{5,8,2},{6,7,1},{5,7,0},{10,1,18},{16,1,18},{5,7,0},{0,7,36},{16,1,18},{0,7,36},{5,0,36},{5,0,36},{5,0,36},{5,0,36},{5,7,0},
{5,7,0},{5,7,0},{5,6,1},{4,7,2},{4,7,2},{6,10,56},{6,9,38},{6,8,53},{6,8,37},{6,10,56},{6,9,35},{6,8,1},{6,8,66},{4,9,60},{5,8,52},{7,9,24},{7,8,14},{7,8,6},{7,8,14},{10,3,51},{5,9,24},{6,8,1},{5,8,51},{18,1,51},{5,8,51},{6,9,37},{6,9,37},{6,9,37},{6,8,36},{6,9,10},{6,8,0},{6,8,0},
{6,7,5},{5,8,11},{6,7,14},{7,8,5},{7,8,5},{7,8,5},{7,7,8},{10,2,8},{6,8,0},{6,8,0},{6,7,5},{17,1,8},{6,7,5},{11,2,18},{6,9,2},{7,8,2},{6,8,1},{11,2,18},{17,2,18},{6,8,1},{0,8,50},{17,2,18},{0,8,50},{6,0,36},{6,0,36},{6,0,36},{6,0,36},{6,8,0},{6,8,0},{6,8,0},{6,7,1},{5,8,2},
{5,8,2},{7,12,70},{7,10,58},{8,9,69},{7,9,51},{7,11,52},{7,10,25},{7,9,3},{7,9,46},{6,10,60},{6,9,36},{8,10,24},{8,9,14},{8,9,5},{8,9,13},{13,1,51},{7,10,24},{7,9,2},{6,9,36},{21,1,51},{6,9,36},{7,11,51},{7,11,51},{7,11,51},{7,9,51},{7,10,9},{7,9,3},{7,9,3},{7,8,9},{5,10,12},{7,8,12},{8,9,5},
{8,9,5},{8,9,5},{8,8,8},{13,0,8},{7,9,2},{7,9,2},{7,8,8},{20,1,8},{7,8,8},{14,0,18},{7,10,8},{8,9,1},{7,9,1},{14,0,18},{20,2,18},{7,9,1},{0,9,36},{20,2,18},{0,9,36},{7,0,50},{7,0,50},{7,0,50},{7,0,50},{7,9,2},{7,9,2},{7,9,2},{7,8,5},{6,9,0},{6,9,0},{8,12,56},{8,11,38},{8,10,52},
{8,10,36},{8,12,56},{8,11,35},{8,10,0},{8,10,52},{7,11,60},{7,10,36},{9,11,24},{9,10,14},{9,10,5},{9,10,13},{14,2,51},{7,11,35},{8,10,0},{7,10,36},{25,0,51},{7,10,36},{8,11,37},{8,11,37},{8,11,37},{8,10,36},{8,11,10},{8,10,0},{8,10,0},{8,9,5},{6,11,12},{8,9,14},{9,10,5},{9,10,5},{9,10,5},{9,9,8},{14,1,8},
{8,10,0},{8,10,0},{8,9,5},{24,0,8},{8,9,5},{15,1,18},{8,11,2},{9,10,1},{8,10,0},{15,1,18},{24,1,18},{8,10,0},{0,10,36},{24,1,18},{0,10,36},{8,0,36},{8,0,36},{8,0,36},{8,0,36},{8,10,0},{8,10,0},{8,10,0},{8,9,1},{7,10,0},{7,10,0},{9,13,56},{9,12,38},{9,11,52},{9,11,36},{9,13,56},{9,12,35},{9,11,0},
{9,11,52},{7,12,63},{8,11,38},{10,12,24},{10,11,14},{10,11,5},{10,11,13},{16,1,51},{8,12,24},{9,11,0},{8,11,37},{26,1,51},{8,11,37},{9,12,37},{9,12,37},{9,12,37},{9,11,36},{9,12,10},{9,11,0},{9,11,0},{9,10,5},{8,11,11},{9,10,14},{10,11,5},{10,11,5},{10,11,5},{10,10,8},{16,0,8},{9,11,0},{9,11,0},{9,10,5},{25,1,8},
{9,10,5},{17,0,18},{9,12,2},{10,11,1},{9,11,0},{17,0,18},{25,2,18},{9,11,0},{0,11,36},{25,2,18},{0,11,36},{9,0,36},{9,0,36},{9,0,36},{9,0,36},{9,11,0},{9,11,0},{9,11,0},{9,10,1},{8,11,2},{8,11,2},{10,14,56},{10,13,38},{10,12,53},{10,12,37},{10,14,56},{10,13,35},{10,12,1},{10,12,66},{8,13,60},{9,12,52},{11,13,24},
{11,12,14},{11,12,6},{11,12,14},{17,2,51},{9,13,24},{10,12,1},{9,12,51},{27,2,51},{9,12,51},{10,13,37},{10,13,37},{10,13,37},{10,12,36},{10,13,10},{10,12,0},{10,12,0},{10,11,5},{9,12,11},{10,11,14},{11,12,5},{11,12,5},{11,12,5},{11,11,8},{17,1,8},{10,12,0},{10,12,0},{10,11,5},{26,2,8},{10,11,5},{18,1,18},{10,13,2},{11,12,2},
{10,12,1},{18,1,18},{31,0,18},{10,12,1},{0,12,50},{31,0,18},{0,12,50},{10,0,36},{10,0,36},{10,0,36},{10,0,36},{10,12,0},{10,12,0},{10,12,0},{10,11,1},{9,12,2},{9,12,2},{11,16,70},{11,14,58},{12,13,69},{11,13,51},{11,15,52},{11,14,25},{11,13,3},{11,13,46},{10,14,60},{10,13,36},{12,14,24},{12,13,14},{12,13,5},{12,13,13},{17,5,51},
{11,14,24},{11,13,2},{10,13,36},{30,2,51},{10,13,36},{11,15,51},{11,15,51},{11,15,51},{11,13,51},{11,14,9},{11,13,3},{11,13,3},{11,12,9},{9,14,12},{11,12,12},{12,13,5},{12,13,5},{12,13,5},{12,12,8},{17,4,8},{11,13,2},{11,13,2},{11,12,8},{29,2,8},{11,12,8},{18,4,18},{11,14,8},{12,13,1},{11,13,1},{18,4,18},{29,3,18},{11,13,1},
{0,13,36},{29,3,18},{0,13,36},{11,0,50},{11,0,50},{11,0,50},{11,0,50},{11,13,2},{11,13,2},{11,13,2},{11,12,5},{10,13,0},{10,13,0},{12,16,56},{12,15,38},{12,14,52},{12,14,36},{12,16,56},{12,15,35},{12,14,0},{12,14,52},{11,15,60},{11,14,36},{13,15,24},{13,14,14},{13,14,5},{13,14,13},{18,6,51},{11,15,35},{12,14,0},{11,14,36},{31,3,51},
{11,14,36},{12,15,37},{12,15,37},{12,15,37},{12,14,36},{12,15,10},{12,14,0},{12,14,0},{12,13,5},{10,15,12},{12,13,14},{13,14,5},{13,14,5},{13,14,5},{13,13,8},{18,5,8},{12,14,0},{12,14,0},{12,13,5},{30,3,8},{12,13,5},{20,3,18},{12,15,2},{13,14,1},{12,14,0},{20,3,18},{28,5,18},{12,14,0},{0,14,36},{28,5,18},{0,14,36},{12,0,36},
{12,0,36},{12,0,36},{12,0,36},{12,14,0},{12,14,0},{12,14,0},{12,13,1},{11,14,0},{11,14,0},{13,17,56},{13,16,38},{13,15,52},{13,15,36},{13,17,56},{13,16,35},{13,15,0},{13,15,52},{11,16,63},{12,15,38},{14,16,24},{14,15,14},{14,15,5},{14,15,13},{23,0,51},{12,16,24},{13,15,0},{12,15,37},{30,5,51},{12,15,37},{13,16,37},{13,16,37},{13,16,37},
{13,15,36},{13,16,10},{13,15,0},{13,15,0},{13,14,5},{12,15,11},{13,14,14},{14,15,5},{14,15,5},{14,15,5},{14,14,8},{20,4,8},{13,15,0},{13,15,0},{13,14,5},{29,5,8},{13,14,5},{21,4,18},{13,16,2},{14,15,1},{13,15,0},{21,4,18},{29,6,18},{13,15,0},{0,15,36},{29,6,18},{0,15,36},{13,0,36},{13,0,36},{13,0,36},{13,0,36},{13,15,0},
{13,15,0},{13,15,0},{13,14,1},{12,15,2},{12,15,2},{14,18,56},{14,17,38},{14,16,53},{14,16,37},{14,18,56},{14,17,35},{14,16,1},{14,16,66},{12,17,60},{13,16,52},{15,17,24},{15,16,14},{15,16,6},{15,16,14},{24,1,51},{13,17,24},{14,16,1},{13,16,51},{31,6,51},{13,16,51},{14,17,37},{14,17,37},{14,17,37},{14,16,36},{14,17,10},{14,16,0},{14,16,0},
{14,15,5},{13,16,11},{14,15,14},{15,16,5},{15,16,5},{15,16,5},{15,15,8},{24,0,8},{14,16,0},{14,16,0},{14,15,5},{30,6,8},{14,15,5},{25,0,18},{14,17,2},{15,16,2},{14,16,1},{25,0,18},{30,7,18},{14,16,1},{0,16,50},{30,7,18},{0,16,50},{14,0,36},{14,0,36},{14,0,36},{14,0,36},{14,16,0},{14,16,0},{14,16,0},{14,15,1},{13,16,2},
{13,16,2},{15,20,70},{15,18,58},{16,17,69},{15,17,51},{15,19,52},{15,18,25},{15,17,3},{15,17,46},{14,18,60},{14,17,36},{16,18,24},{16,17,14},{16,17,5},{16,17,13},{21,9,51},{15,18,24},{15,17,2},{14,17,36},{29,9,51},{14,17,36},{15,19,51},{15,19,51},{15,19,51},{15,17,51},{15,18,9},{15,17,3},{15,17,3},{15,16,9},{13,18,12},{15,16,12},{16,17,5},
{16,17,5},{16,17,5},{16,16,8},{24,3,8},{15,17,2},{15,17,2},{15,16,8},{28,9,8},{15,16,8},{25,3,18},{15,18,8},{16,17,1},{15,17,1},{25,3,18},{28,10,18},{15,17,1},{0,17,36},{28,10,18},{0,17,36},{15,0,50},{15,0,50},{15,0,50},{15,0,50},{15,17,2},{15,17,2},{15,17,2},{15,16,5},{14,17,0},{14,17,0},{16,20,56},{16,19,38},{16,18,52},
{16,18,36},{16,20,56},{16,19,35},{16,18,0},{16,18,52},{15,19,60},{15,18,36},{17,19,24},{17,18,14},{17,18,5},{17,18,13},{22,10,51},{15,19,35},{16,18,0},{15,18,36},{30,10,51},{15,18,36},{16,19,37},{16,19,37},{16,19,37},{16,18,36},{16,19,10},{16,18,0},{16,18,0},{16,17,5},{14,19,12},{16,17,14},{17,18,5},{17,18,5},{17,18,5},{17,17,8},{22,9,8},
{16,18,0},{16,18,0},{16,17,5},{29,10,8},{16,17,5},{24,7,18},{16,19,2},{17,18,1},{16,18,0},{24,7,18},{29,11,18},{16,18,0},{0,18,36},{29,11,18},{0,18,36},{16,0,36},{16,0,36},{16,0,36},{16,0,36},{16,18,0},{16,18,0},{16,18,0},{16,17,1},{15,18,0},{15,18,0},{17,21,56},{17,20,38},{17,19,52},{17,19,36},{17,21,56},{17,20,35},{17,19,0},
{17,19,52},{15,20,63},{16,19,38},{18,20,24},{18,19,14},{18,19,5},{18,19,13},{27,4,51},{16,20,24},{17,19,0},{16,19,37},{31,11,51},{16,19,37},{17,20,37},{17,20,37},{17,20,37},{17,19,36},{17,20,10},{17,19,0},{17,19,0},{17,18,5},{16,19,11},{17,18,14},{18,19,5},{18,19,5},{18,19,5},{18,18,8},{24,8,8},{17,19,0},{17,19,0},{17,18,5},{30,11,8},
{17,18,5},{28,3,18},{17,20,2},{18,19,1},{17,19,0},{28,3,18},{28,13,18},{17,19,0},{0,19,36},{28,13,18},{0,19,36},{17,0,36},{17,0,36},{17,0,36},{17,0,36},{17,19,0},{17,19,0},{17,19,0},{17,18,1},{16,19,2},{16,19,2},{18,22,56},{18,21,38},{18,20,53},{18,20,37},{18,22,56},{18,21,35},{18,20,1},{18,20,66},{16,21,60},{17,20,52},{19,21,24},
{19,20,14},{19,20,6},{19,20,14},{31,0,51},{17,21,24},{18,20,1},{17,20,51},{30,13,51},{17,20,51},{18,21,37},{18,21,37},{18,21,37},{18,20,36},{18,21,10},{18,20,0},{18,20,0},{18,19,5},{17,20,11},{18,19,14},{19,20,5},{19,20,5},{19,20,5},{19,19,8},{28,4,8},{18,20,0},{18,20,0},{18,19,5},{29,13,8},{18,19,5},{29,4,18},{18,21,2},{19,20,2},
{18,20,1},{29,4,18},{29,14,18},{18,20,1},{0,20,50},{29,14,18},{0,20,50},{18,0,36},{18,0,36},{18,0,36},{18,0,36},{18,20,0},{18,20,0},{18,20,0},{18,19,1},{17,20,2},{17,20,2},{19,24,70},{19,22,58},{20,21,69},{19,21,51},{19,23,52},{19,22,25},{19,21,3},{19,21,46},{18,22,60},{18,21,36},{20,22,24},{20,21,14},{20,21,5},{20,21,13},{31,3,51},
{19,22,24},{19,21,2},{18,21,36},{23,19,51},{18,21,36},{19,23,51},{19,23,51},{19,23,51},{19,21,51},{19,22,9},{19,21,3},{19,21,3},{19,20,9},{17,22,12},{19,20,12},{20,21,5},{20,21,5},{20,21,5},{20,20,8},{31,2,8},{19,21,2},{19,21,2},{19,20,8},{27,16,8},{19,20,8},{29,7,18},{19,22,8},{20,21,1},{19,21,1},{29,7,18},{27,17,18},{19,21,1},
{0,21,36},{27,17,18},{0,21,36},{19,0,50},{19,0,50},{19,0,50},{19,0,50},{19,21,2},{19,21,2},{19,21,2},{19,20,5},{18,21,0},{18,21,0},{20,24,56},{20,23,38},{20,22,52},{20,22,36},{20,24,56},{20,23,35},{20,22,0},{20,22,52},{19,23,60},{19,22,36},{21,23,24},{21,22,14},{21,22,5},{21,22,13},{26,14,51},{19,23,35},{20,22,0},{19,22,36},{22,21,51},
{19,22,36},{20,23,37},{20,23,37},{20,23,37},{20,22,36},{20,23,10},{20,22,0},{20,22,0},{20,21,5},{18,23,12},{20,21,14},{21,22,5},{21,22,5},{21,22,5},{21,21,8},{26,13,8},{20,22,0},{20,22,0},{20,21,5},{21,21,8},{20,21,5},{28,11,18},{20,23,2},{21,22,1},{20,22,0},{28,11,18},{31,16,18},{20,22,0},{0,22,36},{31,16,18},{0,22,36},{20,0,36},
{20,0,36},{20,0,36},{20,0,36},{20,22,0},{20,22,0},{20,22,0},{20,21,1},{19,22,0},{19,22,0},{21,25,56},{21,24,38},{21,23,52},{21,23,36},{21,25,56},{21,24,35},{21,23,0},{21,23,52},{19,24,63},{20,23,38},{22,24,24},{22,23,14},{22,23,5},{22,23,13},{31,8,51},{20,24,24},{21,23,0},{20,23,37},{28,19,51},{20,23,37},{21,24,37},{21,24,37},{21,24,37},
{21,23,36},{21,24,10},{21,23,0},{21,23,0},{21,22,5},{20,23,11},{21,22,14},{22,23,5},{22,23,5},{22,23,5},{22,22,8},{28,12,8},{21,23,0},{21,23,0},{21,22,5},{22,22,8},{21,22,5},{29,12,18},{21,24,2},{22,23,1},{21,23,0},{29,12,18},{27,20,18},{21,23,0},{0,23,36},{27,20,18},{0,23,36},{21,0,36},{21,0,36},{21,0,36},{21,0,36},{21,23,0},
{21,23,0},{21,23,0},{21,22,1},{20,23,2},{20,23,2},{22,26,56},{22,25,38},{22,24,53},{22,24,37},{22,26,56},{22,25,35},{22,24,1},{22,24,66},{20,25,60},{21,24,52},{23,25,24},{23,24,14},{23,24,6},{23,24,14},{29,14,51},{21,25,24},{22,24,1},{21,24,51},{29,20,51},{21,24,51},{22,25,37},{22,25,37},{22,25,37},{22,24,36},{22,25,10},{22,24,0},{22,24,0},
{22,23,5},{21,24,11},{22,23,14},{23,24,5},{23,24,5},{23,24,5},{23,23,8},{29,13,8},{22,24,0},{22,24,0},{22,23,5},{28,20,8},{22,23,5},{30,13,18},{22,25,2},{23,24,2},{22,24,1},{30,13,18},{28,21,18},{22,24,1},{0,24,50},{28,21,18},{0,24,50},{22,0,36},{22,0,36},{22,0,36},{22,0,36},{22,24,0},{22,24,0},{22,24,0},{22,23,1},{21,24,2},
{21,24,2},{23,28,70},{23,26,58},{24,25,69},{23,25,51},{23,27,52},{23,26,25},{23,25,3},{23,25,46},{22,26,60},{22,25,36},{24,26,24},{24,25,14},{24,25,5},{24,25,13},{29,17,51},{23,26,24},{23,25,2},{22,25,36},{27,23,51},{22,25,36},{23,27,51},{23,27,51},{23,27,51},{23,25,51},{23,26,9},{23,25,3},{23,25,3},{23,24,9},{21,26,12},{23,24,12},{24,25,5},
{24,25,5},{24,25,5},{24,24,8},{29,16,8},{23,25,2},{23,25,2},{23,24,8},{31,20,8},{23,24,8},{30,16,18},{23,26,8},{24,25,1},{23,25,1},{30,16,18},{31,21,18},{23,25,1},{0,25,36},{31,21,18},{0,25,36},{23,0,50},{23,0,50},{23,0,50},{23,0,50},{23,25,2},{23,25,2},{23,25,2},{23,24,5},{22,25,0},{22,25,0},{24,28,56},{24,27,38},{24,26,52},
{24,26,36},{24,28,56},{24,27,35},{24,26,0},{24,26,52},{23,27,60},{23,26,36},{25,27,24},{25,26,14},{25,26,5},{25,26,13},{30,18,51},{23,27,35},{24,26,0},{23,26,36},{26,25,51},{23,26,36},{24,27,37},{24,27,37},{24,27,37},{24,26,36},{24,27,10},{24,26,0},{24,26,0},{24,25,5},{22,27,12},{24,25,14},{25,26,5},{25,26,5},{25,26,5},{25,25,8},{30,17,8},
{24,26,0},{24,26,0},{24,25,5},{25,25,8},{24,25,5},{31,17,18},{24,27,2},{25,26,1},{24,26,0},{31,17,18},{25,26,18},{24,26,0},{0,26,36},{25,26,18},{0,26,36},{24,0,36},{24,0,36},{24,0,36},{24,0,36},{24,26,0},{24,26,0},{24,26,0},{24,25,1},{23,26,0},{23,26,0},{25,29,56},{25,28,38},{25,27,52},{25,27,36},{25,29,56},{25,28,35},{25,27,0},
{25,27,52},{23,28,63},{24,27,38},{26,28,24},{26,27,14},{26,27,5},{26,27,13},{31,19,51},{24,28,24},{25,27,0},{24,27,37},{27,26,51},{24,27,37},{25,28,37},{25,28,37},{25,28,37},{25,27,36},{25,28,10},{25,27,0},{25,27,0},{25,26,5},{24,27,11},{25,26,14},{26,27,5},{26,27,5},{26,27,5},{26,26,8},{31,18,8},{25,27,0},{25,27,0},{25,26,5},{26,26,8},
{25,26,5},{30,21,18},{25,28,2},{26,27,1},{25,27,0},{30,21,18},{31,24,18},{25,27,0},{0,27,36},{31,24,18},{0,27,36},{25,0,36},{25,0,36},{25,0,36},{25,0,36},{25,27,0},{25,27,0},{25,27,0},{25,26,1},{24,27,2},{24,27,2},{26,30,56},{26,29,38},{26,28,53},{26,28,37},{26,30,56},{26,29,35},{26,28,1},{26,28,66},{24,29,60},{25,28,52},{27,29,24},
{27,28,14},{27,28,6},{27,28,14},{30,23,51},{25,29,24},{26,28,1},{25,28,51},{28,27,51},{25,28,51},{26,29,37},{26,29,37},{26,29,37},{26,28,36},{26,29,10},{26,28,0},{26,28,0},{26,27,5},{25,28,11},{26,27,14},{27,28,5},{27,28,5},{27,28,5},{27,27,8},{30,22,8},{26,28,0},{26,28,0},{26,27,5},{27,27,8},{26,27,5},{31,22,18},{26,29,2},{27,28,2},
{26,28,1},{31,22,18},{27,28,18},{26,28,1},{0,28,50},{27,28,18},{0,28,50},{26,0,36},{26,0,36},{26,0,36},{26,0,36},{26,28,0},{26,28,0},{26,28,0},{26,27,1},{25,28,2},{25,28,2},{27,31,76},{27,30,58},{28,29,69},{27,29,51},{27,31,52},{27,30,25},{27,29,3},{27,29,46},{26,30,60},{26,29,36},{28,30,24},{28,29,14},{28,29,5},{28,29,13},{30,26,51},
{27,30,24},{27,29,2},{26,29,36},{31,27,51},{26,29,36},{27,31,51},{27,31,51},{27,31,51},{27,29,51},{27,30,9},{27,29,3},{27,29,3},{27,28,9},{25,30,12},{27,28,12},{28,29,5},{28,29,5},{28,29,5},{28,28,8},{30,25,8},{27,29,2},{27,29,2},{27,28,8},{30,27,8},{27,28,8},{31,25,18},{27,30,8},{28,29,1},{27,29,1},{31,25,18},{28,29,18},{27,29,1},
{0,29,36},{28,29,18},{0,29,36},{27,0,50},{27,0,50},{27,0,50},{27,0,50},{27,29,2},{27,29,2},{27,29,2},{27,28,5},{26,29,0},{26,29,0},{28,31,86},{28,31,38},{28,30,52},{28,30,36},{28,31,59},{28,31,35},{28,30,0},{28,30,52},{27,31,60},{27,30,36},{29,31,24},{29,30,14},{29,30,5},{29,30,13},{31,27,51},{27,31,35},{28,30,0},{27,30,36},{30,29,51},
{27,30,36},{28,31,37},{28,31,37},{28,31,37},{28,30,36},{28,31,10},{28,30,0},{28,30,0},{28,29,5},{26,31,12},{28,29,14},{29,30,5},{29,30,5},{29,30,5},{29,29,8},{31,26,8},{28,30,0},{28,30,0},{28,29,5},{29,29,8},{28,29,5},{30,29,18},{28,31,2},{29,30,1},{28,30,0},{30,29,18},{29,30,18},{28,30,0},{0,30,36},{29,30,18},{0,30,36},{28,0,36},
{28,0,36},{28,0,36},{28,0,36},{28,30,0},{28,30,0},{28,30,0},{28,29,1},{27,30,0},{27,30,0},{30,31,94},{30,31,78},{29,31,52},{29,31,36},{30,31,115},{29,31,36},{29,31,0},{29,31,52},{29,31,88},{28,31,38},{30,31,30},{30,31,14},{30,31,5},{30,31,13},{30,31,51},{29,31,36},{29,31,0},{28,31,37},{31,30,51},{28,31,37},{29,31,52},{29,31,52},{29,31,52},
{29,31,36},{29,31,16},{29,31,0},{29,31,0},{29,30,5},{28,31,11},{29,30,14},{30,31,5},{30,31,5},{30,31,5},{30,30,8},{30,30,8},{29,31,0},{29,31,0},{29,30,5},{30,30,8},{29,30,5},{31,30,18},{30,31,10},{30,31,1},{29,31,0},{31,30,18},{30,31,18},{29,31,0},{0,31,36},{30,31,18},{0,31,36},{29,0,36},{29,0,36},{29,0,36},{29,0,36},{29,31,0},
{29,31,0},{29,31,0},{29,30,1},{28,31,2},{28,31,2},{31,31,68},{31,31,68},{30,31,61},{30,31,45},{30,31,59},{30,31,27},{30,31,18},{30,31,1},{30,31,28},{30,31,10},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{30,31,1},{30,31,61},{30,31,61},{30,31,61},{30,31,45},{30,31,34},{30,31,18},{30,31,18},
{30,31,1},{30,31,19},{30,31,10},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{30,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{30,0,36},{30,0,36},{30,0,36},{30,0,36},{30,31,9},{30,31,9},{30,31,9},{30,31,1},{30,31,10},
{30,31,10},{0,4,74},{0,3,20},{0,2,2},{0,2,26},{0,2,158},{0,2,110},{0,2,62},{0,1,115},{0,1,178},{0,1,124},{0,4,74},{0,3,20},{0,2,2},{0,2,26},{1,1,154},{0,2,110},{0,2,62},{0,1,115},{1,1,154},{0,1,115},{0,2,1},{0,2,1},{0,2,1},{0,1,0},{0,1,13},{0,1,9},{0,1,9},{0,0,25},{0,0,25},{0,0,25},{0,2,1},
{0,2,1},{0,2,1},{0,1,0},{0,1,13},{0,1,9},{0,1,9},{0,0,25},{1,0,13},{0,0,25},{1,2,72},{0,3,20},{0,2,2},{0,2,26},{1,2,72},{2,1,72},{0,2,26},{0,1,90},{2,1,72},{0,1,90},{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},{0,6,83},{0,5,13},{0,3,26},
{0,3,14},{0,5,248},{0,3,140},{0,3,41},{0,2,139},{0,2,319},{0,2,175},{0,6,83},{0,5,13},{0,3,26},{0,3,14},{1,3,243},{0,3,140},{0,3,41},{0,2,139},{3,1,243},{0,2,139},{0,4,10},{0,4,10},{0,4,10},{0,3,13},{0,3,52},{0,2,18},{0,2,18},{0,1,29},{0,1,77},{0,1,38},{0,4,10},{0,4,10},{0,4,10},{0,3,13},{1,1,50},
{0,2,18},{0,2,18},{0,1,29},{1,1,50},{0,1,29},{2,3,72},{0,5,4},{1,3,2},{0,3,5},{2,3,72},{3,2,72},{0,3,5},{0,2,90},{3,2,72},{0,2,90},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,0},{0,1,0},{0,1,0},{0,1,4},{0,0,9},{0,0,9},{1,7,147},{1,6,77},{1,4,89},{1,4,77},{0,7,244},{0,5,96},{0,4,2},
{0,3,106},{0,4,395},{0,3,187},{1,7,83},{1,6,13},{1,4,25},{1,4,13},{2,4,243},{0,5,96},{0,4,2},{0,3,106},{4,2,243},{0,3,106},{1,5,74},{1,5,74},{1,5,74},{1,4,77},{0,5,52},{0,4,2},{0,4,2},{0,3,25},{0,3,133},{0,2,62},{1,5,10},{1,5,10},{1,5,10},{1,4,13},{2,2,50},{0,4,2},{0,4,2},{0,3,25},{2,2,50},
{0,3,25},{3,4,72},{1,6,4},{2,4,1},{0,4,1},{3,4,72},{9,0,72},{0,4,1},{0,3,90},{9,0,72},{0,3,90},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,37},{0,2,37},{2,8,164},{2,7,94},{2,5,106},{2,5,94},{1,8,245},{1,6,97},{1,5,3},{1,4,97},{0,6,364},{0,4,106},{2,8,83},
{2,7,13},{2,5,25},{2,5,13},{6,0,243},{0,7,76},{1,5,2},{0,4,81},{10,0,243},{0,4,81},{2,6,91},{2,6,91},{2,6,91},{2,5,94},{1,6,53},{1,5,3},{1,5,3},{1,3,27},{0,4,107},{0,4,42},{2,6,10},{2,6,10},{2,6,10},{2,5,13},{3,3,50},{1,5,2},{1,5,2},{0,4,17},{8,0,50},{0,4,17},{7,0,72},{2,7,4},{3,5,1},
{1,5,1},{7,0,72},{10,1,72},{1,5,1},{0,4,80},{10,1,72},{0,4,80},{2,0,90},{2,0,90},{2,0,90},{2,0,90},{1,5,2},{1,5,2},{1,5,2},{1,3,2},{0,3,20},{0,3,20},{3,10,154},{3,8,81},{3,6,106},{3,6,82},{2,10,248},{2,7,99},{2,6,5},{2,5,99},{0,7,308},{0,5,100},{3,10,90},{3,8,17},{4,6,27},{3,6,18},{6,3,243},
{1,8,73},{2,6,5},{1,5,90},{8,3,243},{1,5,90},{3,8,81},{3,8,81},{3,8,81},{3,6,81},{2,8,52},{2,6,4},{2,6,4},{2,5,18},{0,6,72},{0,5,19},{3,8,17},{3,8,17},{3,8,17},{3,6,17},{6,1,50},{2,6,4},{2,6,4},{1,5,9},{11,0,50},{1,5,9},{8,1,72},{3,8,1},{4,6,2},{3,6,2},{8,1,72},{6,5,72},{3,6,2},
{0,5,90},{6,5,72},{0,5,90},{3,0,80},{3,0,80},{3,0,80},{3,0,80},{2,6,0},{2,6,0},{2,6,0},{2,4,4},{0,6,8},{0,6,8},{4,10,164},{4,9,94},{4,7,107},{4,7,95},{3,11,248},{3,8,89},{3,7,5},{3,6,99},{0,9,253},{1,6,100},{4,10,83},{4,9,13},{4,7,26},{4,7,14},{8,2,243},{2,9,73},{3,7,5},{2,6,90},{12,2,243},
{2,6,90},{4,8,91},{4,8,91},{4,8,91},{4,7,94},{3,9,52},{3,7,4},{3,7,4},{3,6,18},{0,8,50},{1,6,19},{4,8,10},{4,8,10},{4,8,10},{4,7,13},{8,0,50},{3,7,4},{3,7,4},{2,6,9},{5,5,50},{2,6,9},{9,2,72},{4,9,4},{5,7,2},{3,7,5},{9,2,72},{17,0,72},{3,7,5},{0,6,90},{17,0,72},{0,6,90},{4,0,90},
{4,0,90},{4,0,90},{4,0,90},{3,7,0},{3,7,0},{3,7,0},{3,5,4},{1,7,8},{1,7,8},{5,11,164},{5,10,94},{5,8,106},{5,8,94},{4,11,245},{4,9,97},{4,8,3},{4,7,107},{0,11,249},{2,7,100},{5,11,83},{5,10,13},{5,8,25},{5,8,13},{9,3,243},{3,10,73},{4,8,2},{3,7,90},{18,0,243},{3,7,90},{5,9,91},{5,9,91},{5,9,91},
{5,8,94},{4,9,53},{4,8,3},{4,8,3},{4,7,26},{1,9,50},{2,7,19},{5,9,10},{5,9,10},{5,9,10},{5,8,13},{9,1,50},{4,8,2},{4,8,2},{3,7,9},{16,0,50},{3,7,9},{10,3,72},{5,10,4},{6,8,1},{4,8,1},{10,3,72},{18,1,72},{4,8,1},{0,7,90},{18,1,72},{0,7,90},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{4,8,2},
{4,8,2},{4,8,2},{4,6,2},{1,8,9},{1,8,9},{6,12,164},{6,11,94},{6,9,106},{6,9,94},{5,12,245},{5,10,97},{5,9,3},{5,8,97},{1,12,252},{3,8,85},{6,12,83},{6,11,13},{6,9,25},{6,9,13},{10,4,243},{4,11,76},{5,9,2},{4,8,81},{19,1,243},{4,8,81},{6,10,91},{6,10,91},{6,10,91},{6,9,94},{5,10,53},{5,9,3},{5,9,3},
{5,7,27},{2,10,50},{3,8,21},{6,10,10},{6,10,10},{6,10,10},{6,9,13},{10,2,50},{5,9,2},{5,9,2},{4,8,17},{17,1,50},{4,8,17},{11,4,72},{6,11,4},{7,9,1},{5,9,1},{11,4,72},{19,2,72},{5,9,1},{0,8,80},{19,2,72},{0,8,80},{6,0,90},{6,0,90},{6,0,90},{6,0,90},{5,9,2},{5,9,2},{5,9,2},{5,7,2},{3,8,5},
{3,8,5},{7,14,154},{7,12,81},{7,10,106},{7,10,82},{6,14,248},{6,11,99},{6,10,5},{6,9,99},{2,13,244},{4,9,100},{7,14,90},{7,12,17},{8,10,27},{7,10,18},{13,2,243},{5,12,73},{6,10,5},{5,9,90},{22,1,243},{5,9,90},{7,12,81},{7,12,81},{7,12,81},{7,10,81},{6,12,52},{6,10,4},{6,10,4},{6,9,18},{3,11,53},{4,9,19},{7,12,17},
{7,12,17},{7,12,17},{7,10,17},{13,0,50},{6,10,4},{6,10,4},{5,9,9},{20,1,50},{5,9,9},{14,2,72},{7,12,1},{8,10,2},{7,10,2},{14,2,72},{25,0,72},{7,10,2},{0,9,90},{25,0,72},{0,9,90},{7,0,80},{7,0,80},{7,0,80},{7,0,80},{6,10,0},{6,10,0},{6,10,0},{6,8,4},{4,10,8},{4,10,8},{8,14,164},{8,13,94},{8,11,107},
{8,11,95},{7,15,248},{7,12,89},{7,11,5},{7,10,99},{3,14,244},{5,10,100},{8,14,83},{8,13,13},{8,11,26},{8,11,14},{14,3,243},{6,13,73},{7,11,5},{6,10,90},{26,0,243},{6,10,90},{8,12,91},{8,12,91},{8,12,91},{8,11,94},{7,13,52},{7,11,4},{7,11,4},{7,10,18},{4,12,50},{5,10,19},{8,12,10},{8,12,10},{8,12,10},{8,11,13},{14,1,50},
{7,11,4},{7,11,4},{6,10,9},{24,0,50},{6,10,9},{16,1,72},{8,13,4},{9,11,2},{7,11,5},{16,1,72},{26,1,72},{7,11,5},{0,10,90},{26,1,72},{0,10,90},{8,0,90},{8,0,90},{8,0,90},{8,0,90},{7,11,0},{7,11,0},{7,11,0},{7,9,4},{5,11,8},{5,11,8},{9,15,164},{9,14,94},{9,12,106},{9,12,94},{8,15,245},{8,13,97},{8,12,3},
{8,11,107},{4,15,249},{6,11,100},{9,15,83},{9,14,13},{9,12,25},{9,12,13},{16,2,243},{7,14,73},{8,12,2},{7,11,90},{27,1,243},{7,11,90},{9,13,91},{9,13,91},{9,13,91},{9,12,94},{8,13,53},{8,12,3},{8,12,3},{8,11,26},{5,13,50},{6,11,19},{9,13,10},{9,13,10},{9,13,10},{9,12,13},{16,0,50},{8,12,2},{8,12,2},{7,11,9},{25,1,50},
{7,11,9},{17,2,72},{9,14,4},{10,12,1},{8,12,1},{17,2,72},{27,2,72},{8,12,1},{0,11,90},{27,2,72},{0,11,90},{9,0,90},{9,0,90},{9,0,90},{9,0,90},{8,12,2},{8,12,2},{8,12,2},{8,10,2},{5,12,9},{5,12,9},{10,16,164},{10,15,94},{10,13,106},{10,13,94},{9,16,245},{9,14,97},{9,13,3},{9,12,97},{5,16,252},{7,12,85},{10,16,83},
{10,15,13},{10,13,25},{10,13,13},{17,3,243},{8,15,76},{9,13,2},{8,12,81},{28,2,243},{8,12,81},{10,14,91},{10,14,91},{10,14,91},{10,13,94},{9,14,53},{9,13,3},{9,13,3},{9,11,27},{6,14,50},{7,12,21},{10,14,10},{10,14,10},{10,14,10},{10,13,13},{17,1,50},{9,13,2},{9,13,2},{8,12,17},{26,2,50},{8,12,17},{18,3,72},{10,15,4},{11,13,1},
{9,13,1},{18,3,72},{28,3,72},{9,13,1},{0,12,80},{28,3,72},{0,12,80},{10,0,90},{10,0,90},{10,0,90},{10,0,90},{9,13,2},{9,13,2},{9,13,2},{9,11,2},{7,12,5},{7,12,5},{11,18,154},{11,16,81},{11,14,106},{11,14,82},{10,18,248},{10,15,99},{10,14,5},{10,13,99},{6,17,244},{8,13,100},{11,18,90},{11,16,17},{12,14,27},{11,14,18},{17,6,243},
{9,16,73},{10,14,5},{9,13,90},{31,2,243},{9,13,90},{11,16,81},{11,16,81},{11,16,81},{11,14,81},{10,16,52},{10,14,4},{10,14,4},{10,13,18},{7,15,53},{8,13,19},{11,16,17},{11,16,17},{11,16,17},{11,14,17},{17,4,50},{10,14,4},{10,14,4},{9,13,9},{29,2,50},{9,13,9},{18,6,72},{11,16,1},{12,14,2},{11,14,2},{18,6,72},{31,3,72},{11,14,2},
{0,13,90},{31,3,72},{0,13,90},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{10,14,0},{10,14,0},{10,14,0},{10,12,4},{8,14,8},{8,14,8},{12,18,164},{12,17,94},{12,15,107},{12,15,95},{11,19,248},{11,16,89},{11,15,5},{11,14,99},{7,18,244},{9,14,100},{12,18,83},{12,17,13},{12,15,26},{12,15,14},{22,0,243},{10,17,73},{11,15,5},{10,14,90},{30,4,243},
{10,14,90},{12,16,91},{12,16,91},{12,16,91},{12,15,94},{11,17,52},{11,15,4},{11,15,4},{11,14,18},{8,16,50},{9,14,19},{12,16,10},{12,16,10},{12,16,10},{12,15,13},{18,5,50},{11,15,4},{11,15,4},{10,14,9},{30,3,50},{10,14,9},{23,0,72},{12,17,4},{13,15,2},{11,15,5},{23,0,72},{30,5,72},{11,15,5},{0,14,90},{30,5,72},{0,14,90},{12,0,90},
{12,0,90},{12,0,90},{12,0,90},{11,15,0},{11,15,0},{11,15,0},{11,13,4},{9,15,8},{9,15,8},{13,19,164},{13,18,94},{13,16,106},{13,16,94},{12,19,245},{12,17,97},{12,16,3},{12,15,107},{8,19,249},{10,15,100},{13,19,83},{13,18,13},{13,16,25},{13,16,13},{23,1,243},{11,18,73},{12,16,2},{11,15,90},{31,5,243},{11,15,90},{13,17,91},{13,17,91},{13,17,91},
{13,16,94},{12,17,53},{12,16,3},{12,16,3},{12,15,26},{9,17,50},{10,15,19},{13,17,10},{13,17,10},{13,17,10},{13,16,13},{20,4,50},{12,16,2},{12,16,2},{11,15,9},{29,5,50},{11,15,9},{24,1,72},{13,18,4},{14,16,1},{12,16,1},{24,1,72},{31,6,72},{12,16,1},{0,15,90},{31,6,72},{0,15,90},{13,0,90},{13,0,90},{13,0,90},{13,0,90},{12,16,2},
{12,16,2},{12,16,2},{12,14,2},{9,16,9},{9,16,9},{14,20,164},{14,19,94},{14,17,106},{14,17,94},{13,20,245},{13,18,97},{13,17,3},{13,16,97},{9,20,252},{11,16,85},{14,20,83},{14,19,13},{14,17,25},{14,17,13},{24,2,243},{12,19,76},{13,17,2},{12,16,81},{27,9,243},{12,16,81},{14,18,91},{14,18,91},{14,18,91},{14,17,94},{13,18,53},{13,17,3},{13,17,3},
{13,15,27},{10,18,50},{11,16,21},{14,18,10},{14,18,10},{14,18,10},{14,17,13},{24,0,50},{13,17,2},{13,17,2},{12,16,17},{30,6,50},{12,16,17},{25,2,72},{14,19,4},{15,17,1},{13,17,1},{25,2,72},{27,10,72},{13,17,1},{0,16,80},{27,10,72},{0,16,80},{14,0,90},{14,0,90},{14,0,90},{14,0,90},{13,17,2},{13,17,2},{13,17,2},{13,15,2},{11,16,5},
{11,16,5},{15,22,154},{15,20,81},{15,18,106},{15,18,82},{14,22,248},{14,19,99},{14,18,5},{14,17,99},{10,21,244},{12,17,100},{15,22,90},{15,20,17},{16,18,27},{15,18,18},{27,0,243},{13,20,73},{14,18,5},{13,17,90},{30,9,243},{13,17,90},{15,20,81},{15,20,81},{15,20,81},{15,18,81},{14,20,52},{14,18,4},{14,18,4},{14,17,18},{11,19,53},{12,17,19},{15,20,17},
{15,20,17},{15,20,17},{15,18,17},{24,3,50},{14,18,4},{14,18,4},{13,17,9},{28,9,50},{13,17,9},{22,10,72},{15,20,1},{16,18,2},{15,18,2},{22,10,72},{30,10,72},{15,18,2},{0,17,90},{30,10,72},{0,17,90},{15,0,80},{15,0,80},{15,0,80},{15,0,80},{14,18,0},{14,18,0},{14,18,0},{14,16,4},{12,18,8},{12,18,8},{16,22,164},{16,21,94},{16,19,107},
{16,19,95},{15,23,248},{15,20,89},{15,19,5},{15,18,99},{11,22,244},{13,18,100},{16,22,83},{16,21,13},{16,19,26},{16,19,14},{26,4,243},{14,21,73},{15,19,5},{14,18,90},{31,10,243},{14,18,90},{16,20,91},{16,20,91},{16,20,91},{16,19,94},{15,21,52},{15,19,4},{15,19,4},{15,18,18},{12,20,50},{13,18,19},{16,20,10},{16,20,10},{16,20,10},{16,19,13},{22,9,50},
{15,19,4},{15,19,4},{14,18,9},{29,10,50},{14,18,9},{27,4,72},{16,21,4},{17,19,2},{15,19,5},{27,4,72},{31,11,72},{15,19,5},{0,18,90},{31,11,72},{0,18,90},{16,0,90},{16,0,90},{16,0,90},{16,0,90},{15,19,0},{15,19,0},{15,19,0},{15,17,4},{13,19,8},{13,19,8},{17,23,164},{17,22,94},{17,20,106},{17,20,94},{16,23,245},{16,21,97},{16,20,3},
{16,19,107},{12,23,249},{14,19,100},{17,23,83},{17,22,13},{17,20,25},{17,20,13},{30,0,243},{15,22,73},{16,20,2},{15,19,90},{30,12,243},{15,19,90},{17,21,91},{17,21,91},{17,21,91},{17,20,94},{16,21,53},{16,20,3},{16,20,3},{16,19,26},{13,21,50},{14,19,19},{17,21,10},{17,21,10},{17,21,10},{17,20,13},{24,8,50},{16,20,2},{16,20,2},{15,19,9},{30,11,50},
{15,19,9},{31,0,72},{17,22,4},{18,20,1},{16,20,1},{31,0,72},{30,13,72},{16,20,1},{0,19,90},{30,13,72},{0,19,90},{17,0,90},{17,0,90},{17,0,90},{17,0,90},{16,20,2},{16,20,2},{16,20,2},{16,18,2},{13,20,9},{13,20,9},{18,24,164},{18,23,94},{18,21,106},{18,21,94},{17,24,245},{17,22,97},{17,21,3},{17,20,97},{13,24,252},{15,20,85},{18,24,83},
{18,23,13},{18,21,25},{18,21,13},{31,1,243},{16,23,76},{17,21,2},{16,20,81},{31,13,243},{16,20,81},{18,22,91},{18,22,91},{18,22,91},{18,21,94},{17,22,53},{17,21,3},{17,21,3},{17,19,27},{14,22,50},{15,20,21},{18,22,10},{18,22,10},{18,22,10},{18,21,13},{28,4,50},{17,21,2},{17,21,2},{16,20,17},{29,13,50},{16,20,17},{29,6,72},{18,23,4},{19,21,1},
{17,21,1},{29,6,72},{31,14,72},{17,21,1},{0,20,80},{31,14,72},{0,20,80},{18,0,90},{18,0,90},{18,0,90},{18,0,90},{17,21,2},{17,21,2},{17,21,2},{17,19,2},{15,20,5},{15,20,5},{19,26,154},{19,24,81},{19,22,106},{19,22,82},{18,26,248},{18,23,99},{18,22,5},{18,21,99},{14,25,244},{16,21,100},{19,26,90},{19,24,17},{20,22,27},{19,22,18},{31,4,243},
{17,24,73},{18,22,5},{17,21,90},{24,19,243},{17,21,90},{19,24,81},{19,24,81},{19,24,81},{19,22,81},{18,24,52},{18,22,4},{18,22,4},{18,21,18},{15,23,53},{16,21,19},{19,24,17},{19,24,17},{19,24,17},{19,22,17},{31,2,50},{18,22,4},{18,22,4},{17,21,9},{27,16,50},{17,21,9},{26,14,72},{19,24,1},{20,22,2},{19,22,2},{26,14,72},{22,21,72},{19,22,2},
{0,21,90},{22,21,72},{0,21,90},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{18,22,0},{18,22,0},{18,22,0},{18,20,4},{16,22,8},{16,22,8},{20,26,164},{20,25,94},{20,23,107},{20,23,95},{19,27,248},{19,24,89},{19,23,5},{19,22,99},{15,26,244},{17,22,100},{20,26,83},{20,25,13},{20,23,26},{20,23,14},{30,8,243},{18,25,73},{19,23,5},{18,22,90},{28,18,243},
{18,22,90},{20,24,91},{20,24,91},{20,24,91},{20,23,94},{19,25,52},{19,23,4},{19,23,4},{19,22,18},{16,24,50},{17,22,19},{20,24,10},{20,24,10},{20,24,10},{20,23,13},{26,13,50},{19,23,4},{19,23,4},{18,22,9},{21,21,50},{18,22,9},{31,8,72},{20,25,4},{21,23,2},{19,23,5},{31,8,72},{28,19,72},{19,23,5},{0,22,90},{28,19,72},{0,22,90},{20,0,90},
{20,0,90},{20,0,90},{20,0,90},{19,23,0},{19,23,0},{19,23,0},{19,21,4},{17,23,8},{17,23,8},{21,27,164},{21,26,94},{21,24,106},{21,24,94},{20,27,245},{20,25,97},{20,24,3},{20,23,107},{16,27,249},{18,23,100},{21,27,83},{21,26,13},{21,24,25},{21,24,13},{31,9,243},{19,26,73},{20,24,2},{19,23,90},{29,19,243},{19,23,90},{21,25,91},{21,25,91},{21,25,91},
{21,24,94},{20,25,53},{20,24,3},{20,24,3},{20,23,26},{17,25,50},{18,23,19},{21,25,10},{21,25,10},{21,25,10},{21,24,13},{28,12,50},{20,24,2},{20,24,2},{19,23,9},{22,22,50},{19,23,9},{29,14,72},{21,26,4},{22,24,1},{20,24,1},{29,14,72},{29,20,72},{20,24,1},{0,23,90},{29,20,72},{0,23,90},{21,0,90},{21,0,90},{21,0,90},{21,0,90},{20,24,2},
{20,24,2},{20,24,2},{20,22,2},{17,24,9},{17,24,9},{22,28,164},{22,27,94},{22,25,106},{22,25,94},{21,28,245},{21,26,97},{21,25,3},{21,24,97},{17,28,252},{19,24,85},{22,28,83},{22,27,13},{22,25,25},{22,25,13},{29,15,243},{20,27,76},{21,25,2},{20,24,81},{30,20,243},{20,24,81},{22,26,91},{22,26,91},{22,26,91},{22,25,94},{21,26,53},{21,25,3},{21,25,3},
{21,23,27},{18,26,50},{19,24,21},{22,26,10},{22,26,10},{22,26,10},{22,25,13},{29,13,50},{21,25,2},{21,25,2},{20,24,17},{28,20,50},{20,24,17},{30,15,72},{22,27,4},{23,25,1},{21,25,1},{30,15,72},{30,21,72},{21,25,1},{0,24,80},{30,21,72},{0,24,80},{22,0,90},{22,0,90},{22,0,90},{22,0,90},{21,25,2},{21,25,2},{21,25,2},{21,23,2},{19,24,5},
{19,24,5},{23,30,154},{23,28,81},{23,26,106},{23,26,82},{22,30,248},{22,27,99},{22,26,5},{22,25,99},{18,29,244},{20,25,100},{23,30,90},{23,28,17},{24,26,27},{23,26,18},{29,18,243},{21,28,73},{22,26,5},{21,25,90},{28,23,243},{21,25,90},{23,28,81},{23,28,81},{23,28,81},{23,26,81},{22,28,52},{22,26,4},{22,26,4},{22,25,18},{19,27,53},{20,25,19},{23,28,17},
{23,28,17},{23,28,17},{23,26,17},{29,16,50},{22,26,4},{22,26,4},{21,25,9},{31,20,50},{21,25,9},{30,18,72},{23,28,1},{24,26,2},{23,26,2},{30,18,72},{26,25,72},{23,26,2},{0,25,90},{26,25,72},{0,25,90},{23,0,80},{23,0,80},{23,0,80},{23,0,80},{22,26,0},{22,26,0},{22,26,0},{22,24,4},{20,26,8},{20,26,8},{24,30,164},{24,29,94},{24,27,107},
{24,27,95},{23,31,248},{23,28,89},{23,27,5},{23,26,99},{19,30,244},{21,26,100},{24,30,83},{24,29,13},{24,27,26},{24,27,14},{30,19,243},{22,29,73},{23,27,5},{22,26,90},{27,25,243},{22,26,90},{24,28,91},{24,28,91},{24,28,91},{24,27,94},{23,29,52},{23,27,4},{23,27,4},{23,26,18},{20,28,50},{21,26,19},{24,28,10},{24,28,10},{24,28,10},{24,27,13},{30,17,50},
{23,27,4},{23,27,4},{22,26,9},{25,25,50},{22,26,9},{31,19,72},{24,29,4},{25,27,2},{23,27,5},{31,19,72},{27,26,72},{23,27,5},{0,26,90},{27,26,72},{0,26,90},{24,0,90},{24,0,90},{24,0,90},{24,0,90},{23,27,0},{23,27,0},{23,27,0},{23,25,4},{21,27,8},{21,27,8},{25,31,164},{25,30,94},{25,28,106},{25,28,94},{24,31,245},{24,29,97},{24,28,3},
{24,27,107},{20,31,249},{22,27,100},{25,31,83},{25,30,13},{25,28,25},{25,28,13},{29,23,243},{23,30,73},{24,28,2},{23,27,90},{28,26,243},{23,27,90},{25,29,91},{25,29,91},{25,29,91},{25,28,94},{24,29,53},{24,28,3},{24,28,3},{24,27,26},{21,29,50},{22,27,19},{25,29,10},{25,29,10},{25,29,10},{25,28,13},{31,18,50},{24,28,2},{24,28,2},{23,27,9},{26,26,50},
{23,27,9},{30,23,72},{25,30,4},{26,28,1},{24,28,1},{30,23,72},{28,27,72},{24,28,1},{0,27,90},{28,27,72},{0,27,90},{25,0,90},{25,0,90},{25,0,90},{25,0,90},{24,28,2},{24,28,2},{24,28,2},{24,26,2},{21,28,9},{21,28,9},{26,31,194},{26,31,94},{26,29,106},{26,29,94},{25,31,284},{25,30,97},{25,29,3},{25,28,97},{22,31,253},{23,28,85},{27,31,99},
{26,31,13},{26,29,25},{26,29,13},{30,24,243},{24,31,76},{25,29,2},{24,28,81},{29,27,243},{24,28,81},{26,30,91},{26,30,91},{26,30,91},{26,29,94},{25,30,53},{25,29,3},{25,29,3},{25,27,27},{22,30,50},{23,28,21},{26,30,10},{26,30,10},{26,30,10},{26,29,13},{30,22,50},{25,29,2},{25,29,2},{24,28,17},{27,27,50},{24,28,17},{31,24,72},{26,31,4},{27,29,1},
{25,29,1},{31,24,72},{24,31,72},{25,29,1},{0,28,80},{24,31,72},{0,28,80},{26,0,90},{26,0,90},{26,0,90},{26,0,90},{25,29,2},{25,29,2},{25,29,2},{25,27,2},{23,28,5},{23,28,5},{27,31,280},{27,31,120},{27,30,106},{27,30,82},{27,31,328},{26,31,99},{26,30,5},{26,29,99},{24,31,308},{24,29,100},{28,31,105},{28,31,45},{28,30,27},{27,30,18},{30,27,243},
{26,31,99},{26,30,5},{25,29,90},{30,28,243},{25,29,90},{27,31,84},{27,31,84},{27,31,84},{27,30,81},{26,31,58},{26,30,4},{26,30,4},{26,29,18},{23,31,53},{24,29,19},{27,31,20},{27,31,20},{27,31,20},{27,30,17},{30,25,50},{26,30,4},{26,30,4},{25,29,9},{30,27,50},{25,29,9},{31,27,72},{28,31,20},{28,30,2},{27,30,2},{31,27,72},{30,29,72},{27,30,2},
{0,29,90},{30,29,72},{0,29,90},{27,0,80},{27,0,80},{27,0,80},{27,0,80},{26,30,0},{26,30,0},{26,30,0},{26,28,4},{24,30,8},{24,30,8},{28,31,331},{28,31,187},{28,31,106},{28,31,94},{28,31,358},{27,31,173},{27,31,4},{27,30,82},{26,31,355},{25,30,83},{29,31,126},{29,31,62},{28,31,25},{28,31,13},{30,29,221},{28,31,121},{27,31,4},{26,30,73},{29,30,221},
{26,30,73},{28,31,106},{28,31,106},{28,31,106},{28,31,94},{27,31,100},{27,31,4},{27,31,4},{27,30,18},{25,31,72},{25,30,19},{28,31,25},{28,31,25},{28,31,25},{28,31,13},{31,26,50},{27,31,4},{27,31,4},{26,30,9},{29,29,50},{26,30,9},{31,29,61},{29,31,37},{29,31,1},{27,31,4},{31,29,61},{31,30,61},{27,31,4},{0,30,73},{31,30,61},{0,30,73},{28,0,90},
{28,0,90},{28,0,90},{28,0,90},{27,31,0},{27,31,0},{27,31,0},{27,29,4},{25,31,8},{25,31,8},{29,31,239},{29,31,175},{29,31,139},{29,31,99},{29,31,239},{28,31,122},{28,31,41},{28,31,26},{28,31,233},{26,31,19},{30,31,54},{30,31,38},{30,31,29},{29,31,18},{30,31,93},{29,31,54},{29,31,18},{27,31,9},{31,30,93},{27,31,9},{29,31,139},{29,31,139},{29,31,139},
{29,31,99},{29,31,139},{28,31,41},{28,31,41},{28,31,26},{27,31,116},{26,31,19},{30,31,29},{30,31,29},{30,31,29},{29,31,18},{30,30,50},{29,31,18},{29,31,18},{27,31,9},{30,30,50},{27,31,9},{31,30,9},{31,31,9},{30,31,4},{30,31,0},{31,30,9},{30,31,9},{30,31,0},{0,31,9},{30,31,9},{0,31,9},{29,0,90},{29,0,90},{29,0,90},{29,0,90},{28,31,5},
{28,31,5},{28,31,5},{28,30,2},{26,31,10},{26,31,10},{30,31,140},{30,31,124},{30,31,115},{30,31,99},{30,31,131},{29,31,98},{29,31,62},{29,31,2},{29,31,122},{28,31,20},{31,31,25},{31,31,25},{31,31,25},{30,31,18},{31,30,22},{30,31,18},{30,31,9},{29,31,1},{30,31,22},{29,31,1},{30,31,115},{30,31,115},{30,31,115},{30,31,99},{30,31,106},{29,31,62},{29,31,62},
{29,31,2},{29,31,86},{28,31,20},{31,31,25},{31,31,25},{31,31,25},{30,31,18},{31,30,13},{30,31,9},{30,31,9},{29,31,1},{30,31,13},{29,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{30,0,90},{30,0,90},{30,0,90},{30,0,90},{29,31,26},{29,31,26},{29,31,26},{29,31,2},{28,31,20},
{28,31,20},{0,6,202},{0,5,52},{0,3,25},{0,3,61},{0,4,442},{0,3,313},{0,3,142},{0,2,318},{0,2,498},{0,2,354},{0,6,202},{0,5,52},{0,3,25},{0,3,61},{2,1,441},{0,3,313},{0,3,142},{0,2,318},{1,2,441},{0,2,318},{0,3,0},{0,3,0},{0,3,0},{0,2,1},{0,1,45},{0,1,25},{0,1,25},{0,1,26},{0,1,50},{0,1,35},{0,3,0},
{0,3,0},{0,3,0},{0,2,1},{1,0,41},{0,1,25},{0,1,25},{0,1,26},{0,1,41},{0,1,26},{2,3,200},{0,5,52},{0,3,25},{0,3,61},{2,3,200},{3,2,200},{0,3,61},{0,2,218},{3,2,200},{0,2,218},{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},{0,9,200},{0,7,20},{0,5,20},
{0,4,25},{0,6,686},{0,5,433},{0,4,169},{0,3,443},{0,3,794},{0,3,524},{0,9,200},{0,7,20},{0,5,20},{0,4,25},{3,1,686},{0,5,433},{0,4,169},{0,3,443},{6,0,686},{0,3,443},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,3,145},{0,2,85},{0,2,85},{0,2,101},{0,1,178},{0,1,115},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{1,1,145},
{0,2,85},{0,2,85},{0,2,101},{3,0,145},{0,2,101},{3,4,200},{0,7,20},{1,4,16},{0,4,25},{3,4,200},{9,0,200},{0,4,25},{0,3,218},{9,0,200},{0,3,218},{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},{0,11,257},{0,9,54},{1,6,85},{0,5,65},{0,9,728},{0,6,371},{0,5,80},
{0,4,377},{0,5,949},{0,4,521},{1,10,201},{1,8,18},{1,6,21},{1,5,26},{4,2,723},{0,6,371},{0,5,80},{0,4,377},{7,1,723},{0,4,377},{0,8,50},{0,8,50},{0,8,50},{0,5,49},{0,5,164},{0,4,50},{0,4,50},{0,3,65},{0,3,245},{0,2,126},{1,7,2},{1,7,2},{1,7,2},{1,4,5},{2,2,162},{0,4,50},{0,4,50},{0,3,65},{2,2,162},
{0,3,65},{7,0,200},{0,9,5},{2,5,16},{0,5,16},{7,0,200},{10,1,200},{0,5,16},{0,4,208},{10,1,200},{0,4,208},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,2,1},{0,2,1},{0,2,1},{0,1,4},{0,1,13},{0,1,13},{1,12,315},{1,10,118},{1,7,178},{1,6,129},{0,11,724},{0,8,289},{0,6,34},{0,5,308},{0,6,1087},{0,5,533},{2,11,201},
{2,9,18},{2,7,21},{2,6,26},{5,3,723},{0,8,289},{0,6,34},{0,5,308},{8,2,723},{0,5,308},{1,9,114},{1,9,114},{1,9,114},{1,6,113},{0,8,162},{0,6,18},{0,6,18},{0,4,25},{0,4,338},{0,3,162},{2,8,2},{2,8,2},{2,8,2},{2,5,5},{3,3,162},{0,6,18},{0,6,18},{0,4,25},{8,0,162},{0,4,25},{6,4,200},{1,10,5},{3,6,16},
{1,6,16},{6,4,200},{14,0,200},{1,6,16},{0,5,208},{14,0,200},{0,5,208},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,61},{0,2,61},{2,14,410},{2,11,209},{2,8,288},{2,7,234},{0,14,739},{0,10,254},{0,8,33},{0,6,270},{0,8,1131},{0,6,450},{3,12,200},{3,10,13},{3,8,25},{3,7,29},{6,4,723},
{0,10,238},{0,8,17},{0,6,254},{14,0,723},{0,6,254},{2,11,209},{2,11,209},{2,11,209},{2,7,209},{0,11,178},{0,8,17},{0,8,17},{0,5,18},{0,6,376},{0,5,123},{3,9,0},{3,9,0},{3,9,0},{3,7,4},{6,1,162},{0,8,1},{0,8,1},{0,5,2},{11,0,162},{0,5,2},{9,2,200},{2,11,1},{4,7,25},{0,8,17},{9,2,200},{17,0,200},{0,8,17},
{0,6,218},{17,0,200},{0,6,218},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{0,8,16},{0,8,16},{0,8,16},{1,4,17},{0,4,80},{0,4,80},{3,15,410},{3,12,212},{3,9,288},{3,8,224},{1,15,739},{1,11,254},{1,9,33},{1,7,270},{0,9,1013},{0,7,308},{4,13,201},{4,11,21},{4,9,21},{4,8,26},{10,0,723},{0,12,227},{1,9,17},{0,7,227},{15,1,723},
{0,7,227},{3,11,212},{3,11,212},{3,11,212},{3,8,208},{2,10,180},{1,9,17},{1,9,17},{1,6,18},{0,8,306},{0,6,41},{4,10,2},{4,10,2},{4,10,2},{4,7,5},{8,0,162},{1,9,1},{1,9,1},{1,6,2},{5,5,162},{1,6,2},{10,3,200},{3,12,4},{5,8,16},{3,8,16},{10,3,200},{18,1,200},{3,8,16},{0,7,218},{18,1,200},{0,7,218},{3,0,208},
{3,0,208},{3,0,208},{3,0,208},{1,9,16},{1,9,16},{1,9,16},{2,5,17},{0,6,40},{0,6,40},{4,15,426},{4,13,223},{4,10,283},{4,9,234},{2,16,739},{2,12,267},{2,10,33},{2,8,273},{0,11,913},{0,8,225},{5,14,201},{5,12,18},{5,10,21},{5,9,26},{11,1,723},{0,13,208},{2,10,17},{0,8,209},{16,2,723},{0,8,209},{4,12,219},{4,12,219},{4,12,219},
{4,9,218},{3,11,180},{2,10,17},{2,10,17},{2,7,18},{0,9,229},{0,7,27},{5,11,2},{5,11,2},{5,11,2},{5,8,5},{9,1,162},{2,10,1},{2,10,1},{2,7,2},{16,0,162},{2,7,2},{11,4,200},{3,14,4},{6,9,16},{4,9,16},{11,4,200},{19,2,200},{4,9,16},{0,8,208},{19,2,200},{0,8,208},{4,0,218},{4,0,218},{4,0,218},{4,0,218},{2,10,16},
{2,10,16},{2,10,16},{3,6,17},{0,8,17},{0,8,17},{5,16,420},{5,14,223},{5,11,283},{5,10,234},{3,17,739},{3,13,267},{3,11,33},{3,9,273},{0,13,868},{0,9,213},{6,15,201},{6,13,18},{6,11,21},{6,10,26},{12,2,723},{0,15,204},{3,11,17},{1,9,209},{22,0,723},{1,9,209},{5,13,219},{5,13,219},{5,13,219},{5,10,218},{3,14,180},{3,11,17},{3,11,17},
{3,8,20},{0,11,189},{1,8,17},{6,12,2},{6,12,2},{6,12,2},{6,9,5},{10,2,162},{3,11,1},{3,11,1},{2,8,1},{17,1,162},{2,8,1},{15,0,200},{5,14,5},{7,10,16},{5,10,16},{15,0,200},{20,3,200},{5,10,16},{0,9,208},{20,3,200},{0,9,208},{5,0,218},{5,0,218},{5,0,218},{5,0,218},{3,11,16},{3,11,16},{3,11,16},{3,8,20},{0,9,5},
{0,9,5},{6,18,410},{6,15,209},{6,12,288},{6,11,234},{4,18,739},{4,14,254},{4,12,33},{4,10,270},{0,15,804},{2,10,227},{7,16,200},{7,14,13},{7,12,25},{7,11,29},{15,0,723},{1,16,209},{4,12,17},{2,10,218},{20,3,723},{2,10,218},{6,15,209},{6,15,209},{6,15,209},{6,11,209},{4,15,178},{4,12,17},{4,12,17},{4,9,18},{0,13,171},{2,9,26},{7,13,0},
{7,13,0},{7,13,0},{7,11,4},{13,0,162},{4,12,1},{4,12,1},{4,9,2},{20,1,162},{4,9,2},{16,1,200},{6,15,1},{8,11,25},{4,12,17},{16,1,200},{26,1,200},{4,12,17},{0,10,218},{26,1,200},{0,10,218},{6,0,208},{6,0,208},{6,0,208},{6,0,208},{4,12,16},{4,12,16},{4,12,16},{5,8,17},{1,11,5},{1,11,5},{7,19,410},{7,16,212},{7,13,288},
{7,12,224},{5,19,739},{5,15,254},{5,13,33},{5,11,270},{0,16,747},{3,11,227},{8,17,201},{8,15,21},{8,13,21},{8,12,26},{14,4,723},{3,16,209},{5,13,17},{3,11,218},{24,2,723},{3,11,218},{7,15,212},{7,15,212},{7,15,212},{7,12,208},{6,14,180},{5,13,17},{5,13,17},{5,10,18},{1,14,171},{3,10,26},{8,14,2},{8,14,2},{8,14,2},{8,11,5},{14,1,162},
{5,13,1},{5,13,1},{5,10,2},{24,0,162},{5,10,2},{17,2,200},{7,16,4},{9,12,16},{7,12,16},{17,2,200},{27,2,200},{7,12,16},{0,11,218},{27,2,200},{0,11,218},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{5,13,16},{5,13,16},{5,13,16},{6,9,17},{2,12,8},{2,12,8},{8,19,426},{8,17,223},{8,14,283},{8,13,234},{6,20,739},{6,16,267},{6,14,33},
{6,12,273},{0,18,727},{3,12,218},{9,18,201},{9,16,18},{9,14,21},{9,13,26},{18,0,723},{4,17,208},{6,14,17},{4,12,209},{30,0,723},{4,12,209},{8,16,219},{8,16,219},{8,16,219},{8,13,218},{7,15,180},{6,14,17},{6,14,17},{6,11,18},{2,15,171},{4,11,27},{9,15,2},{9,15,2},{9,15,2},{9,12,5},{16,0,162},{6,14,1},{6,14,1},{6,11,2},{25,1,162},
{6,11,2},{18,3,200},{7,18,4},{10,13,16},{8,13,16},{18,3,200},{28,3,200},{8,13,16},{0,12,208},{28,3,200},{0,12,208},{8,0,218},{8,0,218},{8,0,218},{8,0,218},{6,14,16},{6,14,16},{6,14,16},{7,10,17},{3,13,8},{3,13,8},{9,20,420},{9,18,223},{9,15,283},{9,14,234},{7,21,739},{7,17,267},{7,15,33},{7,13,273},{1,19,727},{4,13,213},{10,19,201},
{10,17,18},{10,15,21},{10,14,26},{19,1,723},{4,19,204},{7,15,17},{5,13,209},{31,1,723},{5,13,209},{9,17,219},{9,17,219},{9,17,219},{9,14,218},{7,18,180},{7,15,17},{7,15,17},{7,12,20},{3,16,173},{5,12,17},{10,16,2},{10,16,2},{10,16,2},{10,13,5},{17,1,162},{7,15,1},{7,15,1},{6,12,1},{26,2,162},{6,12,1},{20,2,200},{9,18,5},{11,14,16},
{9,14,16},{20,2,200},{24,7,200},{9,14,16},{0,13,208},{24,7,200},{0,13,208},{9,0,218},{9,0,218},{9,0,218},{9,0,218},{7,15,16},{7,15,16},{7,15,16},{7,12,20},{4,13,5},{4,13,5},{10,22,410},{10,19,209},{10,16,288},{10,15,234},{8,22,739},{8,18,254},{8,16,33},{8,14,270},{2,20,724},{6,14,227},{11,20,200},{11,18,13},{11,16,25},{11,15,29},{20,2,723},
{5,20,209},{8,16,17},{6,14,218},{24,7,723},{6,14,218},{10,19,209},{10,19,209},{10,19,209},{10,15,209},{8,19,178},{8,16,17},{8,16,17},{8,13,18},{3,18,170},{6,13,26},{11,17,0},{11,17,0},{11,17,0},{11,15,4},{17,4,162},{8,16,1},{8,16,1},{8,13,2},{29,2,162},{8,13,2},{23,0,200},{10,19,1},{12,15,25},{8,16,17},{23,0,200},{30,5,200},{8,16,17},
{0,14,218},{30,5,200},{0,14,218},{10,0,208},{10,0,208},{10,0,208},{10,0,208},{8,16,16},{8,16,16},{8,16,16},{9,12,17},{5,15,5},{5,15,5},{11,23,410},{11,20,212},{11,17,288},{11,16,224},{9,23,739},{9,19,254},{9,17,33},{9,15,270},{3,21,724},{7,15,227},{12,21,201},{12,19,21},{12,17,21},{12,16,26},{21,3,723},{7,20,209},{9,17,17},{7,15,218},{28,6,723},
{7,15,218},{11,19,212},{11,19,212},{11,19,212},{11,16,208},{10,18,180},{9,17,17},{9,17,17},{9,14,18},{5,18,171},{7,14,26},{12,18,2},{12,18,2},{12,18,2},{12,15,5},{18,5,162},{9,17,1},{9,17,1},{9,14,2},{30,3,162},{9,14,2},{24,1,200},{11,20,4},{13,16,16},{11,16,16},{24,1,200},{31,6,200},{11,16,16},{0,15,218},{31,6,200},{0,15,218},{11,0,208},
{11,0,208},{11,0,208},{11,0,208},{9,17,16},{9,17,16},{9,17,16},{10,13,17},{6,16,8},{6,16,8},{12,23,426},{12,21,223},{12,18,283},{12,17,234},{10,24,739},{10,20,267},{10,18,33},{10,16,273},{4,22,727},{7,16,218},{13,22,201},{13,20,18},{13,18,21},{13,17,26},{22,4,723},{8,21,208},{10,18,17},{8,16,209},{29,7,723},{8,16,209},{12,20,219},{12,20,219},{12,20,219},
{12,17,218},{11,19,180},{10,18,17},{10,18,17},{10,15,18},{6,19,171},{8,15,27},{13,19,2},{13,19,2},{13,19,2},{13,16,5},{20,4,162},{10,18,1},{10,18,1},{10,15,2},{29,5,162},{10,15,2},{25,2,200},{11,22,4},{14,17,16},{12,17,16},{25,2,200},{27,10,200},{12,17,16},{0,16,208},{27,10,200},{0,16,208},{12,0,218},{12,0,218},{12,0,218},{12,0,218},{10,18,16},
{10,18,16},{10,18,16},{11,14,17},{7,17,8},{7,17,8},{13,24,420},{13,22,223},{13,19,283},{13,18,234},{11,25,739},{11,21,267},{11,19,33},{11,17,273},{5,23,727},{8,17,213},{14,23,201},{14,21,18},{14,19,21},{14,18,26},{26,0,723},{8,23,204},{11,19,17},{9,17,209},{30,8,723},{9,17,209},{13,21,219},{13,21,219},{13,21,219},{13,18,218},{11,22,180},{11,19,17},{11,19,17},
{11,16,20},{7,20,173},{9,16,17},{14,20,2},{14,20,2},{14,20,2},{14,17,5},{24,0,162},{11,19,1},{11,19,1},{10,16,1},{30,6,162},{10,16,1},{26,3,200},{13,22,5},{15,18,16},{13,18,16},{26,3,200},{28,11,200},{13,18,16},{0,17,208},{28,11,200},{0,17,208},{13,0,218},{13,0,218},{13,0,218},{13,0,218},{11,19,16},{11,19,16},{11,19,16},{11,16,20},{8,17,5},
{8,17,5},{14,26,410},{14,23,209},{14,20,288},{14,19,234},{12,26,739},{12,22,254},{12,20,33},{12,18,270},{6,24,724},{10,18,227},{15,24,200},{15,22,13},{15,20,25},{15,19,29},{26,3,723},{9,24,209},{12,20,17},{10,18,218},{28,11,723},{10,18,218},{14,23,209},{14,23,209},{14,23,209},{14,19,209},{12,23,178},{12,20,17},{12,20,17},{12,17,18},{7,22,170},{10,17,26},{15,21,0},
{15,21,0},{15,21,0},{15,19,4},{24,3,162},{12,20,1},{12,20,1},{12,17,2},{28,9,162},{12,17,2},{27,4,200},{14,23,1},{16,19,25},{12,20,17},{27,4,200},{31,11,200},{12,20,17},{0,18,218},{31,11,200},{0,18,218},{14,0,208},{14,0,208},{14,0,208},{14,0,208},{12,20,16},{12,20,16},{12,20,16},{13,16,17},{9,19,5},{9,19,5},{15,27,410},{15,24,212},{15,21,288},
{15,20,224},{13,27,739},{13,23,254},{13,21,33},{13,19,270},{7,25,724},{11,19,227},{16,25,201},{16,23,21},{16,21,21},{16,20,26},{28,2,723},{11,24,209},{13,21,17},{11,19,218},{27,13,723},{11,19,218},{15,23,212},{15,23,212},{15,23,212},{15,20,208},{14,22,180},{13,21,17},{13,21,17},{13,18,18},{9,22,171},{11,18,26},{16,22,2},{16,22,2},{16,22,2},{16,19,5},{22,9,162},
{13,21,1},{13,21,1},{13,18,2},{29,10,162},{13,18,2},{31,0,200},{15,24,4},{17,20,16},{15,20,16},{31,0,200},{30,13,200},{15,20,16},{0,19,218},{30,13,200},{0,19,218},{15,0,208},{15,0,208},{15,0,208},{15,0,208},{13,21,16},{13,21,16},{13,21,16},{14,17,17},{10,20,8},{10,20,8},{16,27,426},{16,25,223},{16,22,283},{16,21,234},{14,28,739},{14,24,267},{14,22,33},
{14,20,273},{8,26,727},{11,20,218},{17,26,201},{17,24,18},{17,22,21},{17,21,26},{29,3,723},{12,25,208},{14,22,17},{12,20,209},{28,14,723},{12,20,209},{16,24,219},{16,24,219},{16,24,219},{16,21,218},{15,23,180},{14,22,17},{14,22,17},{14,19,18},{10,23,171},{12,19,27},{17,23,2},{17,23,2},{17,23,2},{17,20,5},{24,8,162},{14,22,1},{14,22,1},{14,19,2},{30,11,162},
{14,19,2},{29,6,200},{15,26,4},{18,21,16},{16,21,16},{29,6,200},{31,14,200},{16,21,16},{0,20,208},{31,14,200},{0,20,208},{16,0,218},{16,0,218},{16,0,218},{16,0,218},{14,22,16},{14,22,16},{14,22,16},{15,18,17},{11,21,8},{11,21,8},{17,28,420},{17,26,223},{17,23,283},{17,22,234},{15,29,739},{15,25,267},{15,23,33},{15,21,273},{9,27,727},{12,21,213},{18,27,201},
{18,25,18},{18,23,21},{18,22,26},{30,4,723},{12,27,204},{15,23,17},{13,21,209},{29,15,723},{13,21,209},{17,25,219},{17,25,219},{17,25,219},{17,22,218},{15,26,180},{15,23,17},{15,23,17},{15,20,20},{11,24,173},{13,20,17},{18,24,2},{18,24,2},{18,24,2},{18,21,5},{28,4,162},{15,23,1},{15,23,1},{14,20,1},{29,13,162},{14,20,1},{30,7,200},{17,26,5},{19,22,16},
{17,22,16},{30,7,200},{30,16,200},{17,22,16},{0,21,208},{30,16,200},{0,21,208},{17,0,218},{17,0,218},{17,0,218},{17,0,218},{15,23,16},{15,23,16},{15,23,16},{15,20,20},{12,21,5},{12,21,5},{18,30,410},{18,27,209},{18,24,288},{18,23,234},{16,30,739},{16,26,254},{16,24,33},{16,22,270},{10,28,724},{14,22,227},{19,28,200},{19,26,13},{19,24,25},{19,23,29},{30,7,723},
{13,28,209},{16,24,17},{14,22,218},{30,16,723},{14,22,218},{18,27,209},{18,27,209},{18,27,209},{18,23,209},{16,27,178},{16,24,17},{16,24,17},{16,21,18},{11,26,170},{14,21,26},{19,25,0},{19,25,0},{19,25,0},{19,23,4},{31,2,162},{16,24,1},{16,24,1},{16,21,2},{27,16,162},{16,21,2},{31,8,200},{18,27,1},{20,23,25},{16,24,17},{31,8,200},{28,19,200},{16,24,17},
{0,22,218},{28,19,200},{0,22,218},{18,0,208},{18,0,208},{18,0,208},{18,0,208},{16,24,16},{16,24,16},{16,24,16},{17,20,17},{13,23,5},{13,23,5},{19,31,410},{19,28,212},{19,25,288},{19,24,224},{17,31,739},{17,27,254},{17,25,33},{17,23,270},{11,29,724},{15,23,227},{20,29,201},{20,27,21},{20,25,21},{20,24,26},{29,11,723},{15,28,209},{17,25,17},{15,23,218},{31,17,723},
{15,23,218},{19,27,212},{19,27,212},{19,27,212},{19,24,208},{18,26,180},{17,25,17},{17,25,17},{17,22,18},{13,26,171},{15,22,26},{20,26,2},{20,26,2},{20,26,2},{20,23,5},{26,13,162},{17,25,1},{17,25,1},{17,22,2},{21,21,162},{17,22,2},{29,14,200},{19,28,4},{21,24,16},{19,24,16},{29,14,200},{29,20,200},{19,24,16},{0,23,218},{29,20,200},{0,23,218},{19,0,208},
{19,0,208},{19,0,208},{19,0,208},{17,25,16},{17,25,16},{17,25,16},{18,21,17},{14,24,8},{14,24,8},{20,31,426},{20,29,223},{20,26,283},{20,25,234},{19,30,740},{18,28,267},{18,26,33},{18,24,273},{12,30,727},{15,24,218},{21,30,201},{21,28,18},{21,26,21},{21,25,26},{30,12,723},{16,29,208},{18,26,17},{16,24,209},{27,21,723},{16,24,209},{20,28,219},{20,28,219},{20,28,219},
{20,25,218},{19,27,180},{18,26,17},{18,26,17},{18,23,18},{14,27,171},{16,23,27},{21,27,2},{21,27,2},{21,27,2},{21,24,5},{28,12,162},{18,26,1},{18,26,1},{18,23,2},{22,22,162},{18,23,2},{30,15,200},{19,30,4},{22,25,16},{20,25,16},{30,15,200},{30,21,200},{20,25,16},{0,24,208},{30,21,200},{0,24,208},{20,0,218},{20,0,218},{20,0,218},{20,0,218},{18,26,16},
{18,26,16},{18,26,16},{19,22,17},{15,25,8},{15,25,8},{21,31,468},{21,30,223},{21,27,283},{21,26,234},{20,31,749},{19,29,267},{19,27,33},{19,25,273},{13,31,727},{16,25,213},{22,31,201},{22,29,18},{22,27,21},{22,26,26},{31,13,723},{16,31,204},{19,27,17},{17,25,209},{28,22,723},{17,25,209},{21,29,219},{21,29,219},{21,29,219},{21,26,218},{19,30,180},{19,27,17},{19,27,17},
{19,24,20},{15,28,173},{17,24,17},{22,28,2},{22,28,2},{22,28,2},{22,25,5},{29,13,162},{19,27,1},{19,27,1},{18,24,1},{28,20,162},{18,24,1},{31,16,200},{21,30,5},{23,26,16},{21,26,16},{31,16,200},{31,22,200},{21,26,16},{0,25,208},{31,22,200},{0,25,208},{21,0,218},{21,0,218},{21,0,218},{21,0,218},{19,27,16},{19,27,16},{19,27,16},{19,24,20},{16,25,5},
{16,25,5},{22,31,570},{22,31,209},{22,28,288},{22,27,234},{21,31,804},{20,30,254},{20,28,33},{20,26,270},{15,31,753},{18,26,227},{23,31,232},{23,30,13},{23,28,25},{23,27,29},{31,16,723},{19,31,216},{20,28,17},{18,26,218},{31,22,723},{18,26,218},{22,31,209},{22,31,209},{22,31,209},{22,27,209},{20,31,178},{20,28,17},{20,28,17},{20,25,18},{15,30,170},{18,25,26},{23,29,0},
{23,29,0},{23,29,0},{23,27,4},{29,16,162},{20,28,1},{20,28,1},{20,25,2},{31,20,162},{20,25,2},{31,19,200},{22,31,1},{24,27,25},{20,28,17},{31,19,200},{27,26,200},{20,28,17},{0,26,218},{27,26,200},{0,26,218},{22,0,208},{22,0,208},{22,0,208},{22,0,208},{20,28,16},{20,28,16},{20,28,16},{21,24,17},{17,27,5},{17,27,5},{23,31,696},{23,31,237},{23,29,288},
{23,28,224},{23,31,888},{21,31,254},{21,29,33},{21,27,270},{17,31,824},{19,27,227},{24,31,273},{24,31,21},{24,29,21},{24,28,26},{30,20,723},{20,31,233},{21,29,17},{19,27,218},{30,24,723},{19,27,218},{23,31,212},{23,31,212},{23,31,212},{23,28,208},{22,30,180},{21,29,17},{21,29,17},{21,26,18},{17,30,171},{19,26,26},{24,30,2},{24,30,2},{24,30,2},{24,27,5},{30,17,162},
{21,29,1},{21,29,1},{21,26,2},{25,25,162},{21,26,2},{30,23,200},{24,31,20},{25,28,16},{23,28,16},{30,23,200},{28,27,200},{23,28,16},{0,27,218},{28,27,200},{0,27,218},{23,0,208},{23,0,208},{23,0,208},{23,0,208},{21,29,16},{21,29,16},{21,29,16},{22,25,17},{18,28,8},{18,28,8},{25,31,804},{24,31,334},{24,30,283},{24,29,234},{24,31,957},{22,31,297},{22,30,33},
{22,28,273},{20,31,913},{19,28,218},{26,31,313},{25,31,51},{25,30,21},{25,29,26},{31,21,723},{22,31,281},{22,30,17},{20,28,209},{31,25,723},{20,28,209},{24,31,234},{24,31,234},{24,31,234},{24,29,218},{23,31,180},{22,30,17},{22,30,17},{22,27,18},{18,31,171},{20,27,27},{25,31,2},{25,31,2},{25,31,2},{25,28,5},{31,18,162},{22,30,1},{22,30,1},{22,27,2},{26,26,162},
{22,27,2},{31,24,200},{25,31,50},{26,29,16},{24,29,16},{31,24,200},{24,31,200},{24,29,16},{0,28,208},{24,31,200},{0,28,208},{24,0,218},{24,0,218},{24,0,218},{24,0,218},{22,30,16},{22,30,16},{22,30,16},{23,26,17},{19,29,8},{19,29,8},{26,31,930},{25,31,492},{25,31,283},{25,30,234},{25,31,1068},{24,31,389},{23,31,33},{23,29,273},{21,31,999},{20,29,213},{27,31,379},
{26,31,149},{26,31,21},{26,30,26},{29,27,723},{24,31,364},{23,31,17},{21,29,209},{27,29,723},{21,29,209},{25,31,267},{25,31,267},{25,31,267},{25,30,218},{24,31,205},{23,31,17},{23,31,17},{23,28,20},{20,31,189},{21,28,17},{26,31,5},{26,31,5},{26,31,5},{26,29,5},{30,22,162},{23,31,1},{23,31,1},{22,28,1},{27,27,162},{22,28,1},{30,28,200},{27,31,90},{27,30,16},
{25,30,16},{30,28,200},{28,30,200},{25,30,16},{0,29,208},{28,30,200},{0,29,208},{25,0,218},{25,0,218},{25,0,218},{25,0,218},{23,31,16},{23,31,16},{23,31,16},{23,28,20},{20,29,5},{20,29,5},{27,31,877},{26,31,585},{26,31,329},{26,31,209},{26,31,990},{25,31,397},{25,31,36},{24,30,165},{23,31,910},{22,30,122},{28,31,306},{28,31,162},{27,31,36},{27,31,4},{31,26,546},
{26,31,306},{25,31,20},{22,30,113},{29,29,546},{22,30,113},{26,31,329},{26,31,329},{26,31,329},{26,31,209},{25,31,276},{25,31,36},{25,31,36},{24,29,18},{22,31,230},{22,29,26},{27,31,36},{27,31,36},{27,31,36},{27,31,4},{30,25,162},{25,31,20},{25,31,20},{24,29,2},{30,27,162},{24,29,2},{30,30,113},{29,31,61},{28,31,0},{26,31,1},{30,30,113},{30,30,113},{26,31,1},
{0,30,113},{30,30,113},{0,30,113},{26,0,208},{26,0,208},{26,0,208},{26,0,208},{25,30,17},{25,30,17},{25,30,17},{25,28,17},{21,31,5},{21,31,5},{28,31,731},{27,31,573},{27,31,404},{27,31,244},{27,31,797},{26,31,354},{26,31,98},{25,30,82},{25,31,737},{23,31,58},{29,31,190},{29,31,126},{28,31,65},{28,31,5},{30,29,333},{28,31,185},{27,31,52},{23,31,49},{29,30,333},
{23,31,49},{27,31,404},{27,31,404},{27,31,404},{27,31,244},{27,31,356},{26,31,98},{26,31,98},{25,30,18},{24,31,315},{23,30,26},{28,31,65},{28,31,65},{28,31,65},{28,31,5},{31,26,162},{27,31,52},{27,31,52},{25,30,2},{29,29,162},{25,30,2},{31,30,25},{30,31,13},{30,31,4},{29,31,1},{31,30,25},{30,31,25},{29,31,1},{0,31,49},{30,31,25},{0,31,49},{27,0,208},
{27,0,208},{27,0,208},{27,0,208},{26,31,17},{26,31,17},{26,31,17},{26,29,17},{23,31,9},{23,31,9},{29,31,642},{28,31,524},{28,31,443},{28,31,299},{28,31,623},{28,31,335},{27,31,201},{26,31,17},{27,31,610},{24,31,26},{30,31,131},{30,31,115},{29,31,101},{29,31,37},{31,29,193},{29,31,121},{28,31,85},{26,31,1},{29,31,193},{26,31,1},{28,31,443},{28,31,443},{28,31,443},
{28,31,299},{28,31,398},{27,31,201},{27,31,201},{26,31,17},{26,31,378},{24,31,26},{29,31,101},{29,31,101},{29,31,101},{29,31,37},{31,28,145},{28,31,85},{28,31,85},{26,31,1},{30,30,145},{26,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{28,0,218},{28,0,218},{28,0,218},{28,0,218},{27,31,32},
{27,31,32},{27,31,32},{27,30,17},{24,31,26},{24,31,26},{29,31,418},{29,31,354},{29,31,318},{29,31,254},{29,31,370},{28,31,223},{28,31,142},{28,31,25},{28,31,358},{26,31,58},{30,31,51},{30,31,35},{30,31,26},{30,31,10},{31,30,54},{30,31,34},{30,31,25},{28,31,0},{30,31,54},{28,31,0},{29,31,318},{29,31,318},{29,31,318},{29,31,254},{29,31,270},{28,31,142},{28,31,142},
{28,31,25},{27,31,249},{26,31,58},{30,31,26},{30,31,26},{30,31,26},{30,31,10},{30,31,41},{30,31,25},{30,31,25},{28,31,0},{31,30,41},{28,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{29,0,218},{29,0,218},{29,0,218},{29,0,218},{28,31,61},{28,31,61},{28,31,61},{28,31,25},{26,31,58},
{26,31,58},{0,9,421},{0,7,113},{0,5,5},{0,4,130},{0,6,925},{0,5,658},{0,4,274},{0,3,670},{0,3,1039},{0,3,751},{0,9,421},{0,7,113},{0,5,5},{0,4,130},{3,1,925},{0,5,658},{0,4,274},{0,3,670},{6,0,925},{0,3,670},{0,4,1},{0,4,1},{0,4,1},{0,3,4},{0,2,85},{0,2,45},{0,2,45},{0,1,50},{0,1,98},{0,1,59},{0,4,1},
{0,4,1},{0,4,1},{0,3,4},{0,2,85},{0,2,45},{0,2,45},{0,1,50},{2,0,85},{0,1,50},{5,1,421},{0,7,113},{0,5,5},{0,4,130},{5,1,421},{9,0,421},{0,4,130},{0,3,445},{9,0,421},{0,3,445},{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},{0,12,425},{0,9,52},{0,6,10},
{0,6,82},{0,8,1261},{0,6,805},{0,5,322},{0,4,833},{0,4,1445},{0,4,977},{0,12,425},{0,9,52},{0,6,10},{0,6,82},{3,3,1261},{0,6,805},{0,5,322},{0,4,833},{8,0,1261},{0,4,833},{0,7,0},{0,7,0},{0,7,0},{0,4,1},{0,3,225},{0,3,117},{0,3,117},{0,2,125},{0,2,257},{0,2,161},{0,7,0},{0,7,0},{0,7,0},{0,4,1},{2,0,221},
{0,3,117},{0,3,117},{0,2,125},{2,1,221},{0,2,125},{7,0,421},{0,9,52},{1,6,5},{0,6,82},{7,0,421},{10,1,421},{0,6,82},{0,4,433},{10,1,421},{0,4,433},{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},{0,14,430},{0,11,29},{0,7,74},{0,7,46},{0,10,1514},{0,8,874},{0,6,307},
{0,5,917},{0,5,1814},{0,4,1074},{0,14,430},{0,11,29},{1,7,35},{0,7,46},{6,0,1514},{0,8,874},{0,6,307},{0,5,917},{10,0,1514},{0,5,917},{0,10,10},{0,10,10},{0,10,10},{0,6,10},{0,5,340},{0,5,160},{0,5,160},{0,3,169},{0,3,421},{0,3,250},{0,10,10},{0,10,10},{0,10,10},{0,6,10},{2,2,338},{0,5,160},{0,5,160},{0,3,169},{2,2,338},
{0,3,169},{8,1,421},{0,11,20},{2,7,5},{0,7,37},{8,1,421},{14,0,421},{0,7,37},{0,5,433},{14,0,421},{0,5,433},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,0},{0,1,0},{0,1,0},{0,1,4},{0,0,9},{0,0,9},{1,15,494},{1,12,102},{1,8,137},{1,8,122},{0,12,1517},{0,9,737},{0,7,185},{0,6,794},{0,7,1982},{0,5,1062},{1,15,430},
{1,12,38},{2,8,34},{1,8,58},{7,1,1514},{0,9,737},{0,7,185},{0,6,794},{11,1,1514},{0,6,794},{1,11,74},{1,11,74},{1,11,74},{1,7,74},{0,8,338},{0,6,98},{0,6,98},{0,4,97},{0,4,514},{0,4,241},{1,11,10},{1,11,10},{1,11,10},{1,7,10},{3,3,338},{0,6,98},{0,6,98},{0,4,97},{8,0,338},{0,4,97},{10,0,421},{0,13,9},{3,8,4},
{0,8,16},{10,0,421},{17,0,421},{0,8,16},{0,6,433},{17,0,421},{0,6,433},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,37},{0,2,37},{1,18,629},{1,14,213},{2,9,354},{1,9,218},{0,15,1517},{0,11,630},{0,9,50},{0,7,670},{0,8,2198},{0,6,1109},{3,15,437},{2,13,41},{3,9,33},{2,9,53},{8,2,1514},
{0,11,630},{0,9,50},{0,7,670},{12,2,1514},{0,7,670},{1,13,209},{1,13,209},{1,13,209},{1,8,212},{0,11,338},{0,8,41},{0,8,41},{0,5,50},{0,6,680},{0,5,275},{3,10,17},{3,10,17},{3,10,17},{2,8,17},{6,1,338},{0,8,41},{0,8,41},{0,5,50},{11,0,338},{0,5,50},{12,0,421},{0,15,1},{4,9,5},{0,9,1},{12,0,421},{20,0,421},{0,9,1},
{0,7,445},{20,0,421},{0,7,445},{1,0,208},{1,0,208},{1,0,208},{1,0,208},{0,7,1},{0,7,1},{0,7,1},{0,4,0},{0,3,106},{0,3,106},{2,19,821},{2,15,405},{2,11,570},{2,10,410},{0,18,1514},{0,13,577},{0,10,14},{0,8,602},{0,10,2462},{0,7,1175},{3,17,441},{3,14,41},{4,10,35},{3,10,53},{9,3,1514},{0,13,577},{0,10,14},{0,8,602},{18,0,1514},
{0,8,602},{2,14,401},{2,14,401},{2,14,401},{2,9,404},{0,13,340},{0,10,13},{0,10,13},{0,6,29},{0,7,851},{0,6,353},{3,13,17},{3,13,17},{3,13,17},{3,9,17},{8,0,338},{0,10,13},{0,10,13},{0,6,29},{5,5,338},{0,6,29},{13,1,421},{1,16,4},{5,10,5},{1,10,1},{13,1,421},{21,1,421},{1,10,1},{0,8,433},{21,1,421},{0,8,433},{2,0,400},
{2,0,400},{2,0,400},{2,0,400},{0,9,1},{0,9,1},{0,9,1},{0,6,4},{0,4,208},{0,4,208},{3,20,854},{3,16,437},{3,12,597},{3,11,443},{1,19,1515},{0,15,570},{1,11,15},{0,9,582},{0,11,2337},{0,9,933},{4,18,430},{4,15,29},{5,11,35},{4,11,46},{10,4,1514},{0,15,521},{1,11,14},{0,9,533},{19,1,1514},{0,9,533},{3,15,434},{3,15,434},{3,15,434},
{3,10,437},{1,14,341},{1,11,14},{1,11,14},{1,7,30},{0,8,755},{0,7,222},{4,14,10},{4,14,10},{4,14,10},{4,10,10},{9,1,338},{0,12,2},{0,12,2},{0,7,26},{16,0,338},{0,7,26},{15,0,421},{3,16,4},{6,11,5},{2,11,1},{15,0,421},{25,0,421},{2,11,1},{0,9,433},{25,0,421},{0,9,433},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{1,10,2},
{1,10,2},{1,10,2},{1,7,5},{0,6,157},{0,6,157},{4,21,866},{4,17,454},{4,13,609},{4,12,461},{2,20,1515},{1,16,570},{2,12,19},{1,10,582},{0,13,2214},{0,10,707},{5,19,430},{5,16,38},{6,12,34},{5,12,58},{14,0,1514},{0,16,458},{2,12,18},{0,10,482},{20,2,1514},{0,10,482},{4,16,445},{4,16,445},{4,16,445},{4,11,449},{2,15,341},{2,12,19},{2,12,19},
{2,8,26},{0,10,635},{0,8,106},{5,15,10},{5,15,10},{5,15,10},{5,11,10},{10,2,338},{1,13,2},{1,13,2},{1,8,16},{17,1,338},{1,8,16},{16,1,421},{3,18,4},{7,12,4},{3,12,0},{16,1,421},{26,1,421},{3,12,0},{0,10,433},{26,1,421},{0,10,433},{4,0,445},{4,0,445},{4,0,445},{4,0,445},{2,11,2},{2,11,2},{2,11,2},{2,7,10},{0,8,90},
{0,8,90},{5,22,854},{5,18,438},{5,14,603},{5,13,443},{3,21,1517},{3,16,554},{3,13,21},{3,11,589},{0,15,2046},{0,11,535},{7,19,437},{6,17,41},{7,13,33},{6,13,53},{14,3,1514},{0,18,429},{3,13,21},{0,11,454},{26,0,1514},{0,11,454},{5,17,434},{5,17,434},{5,17,434},{5,12,437},{3,17,340},{3,13,20},{3,13,20},{3,9,29},{0,12,557},{0,10,49},{7,14,17},
{7,14,17},{7,14,17},{6,12,17},{13,0,338},{2,14,4},{2,14,4},{1,10,10},{20,1,338},{1,10,10},{17,2,421},{4,19,1},{8,13,5},{4,13,1},{17,2,421},{29,1,421},{4,13,1},{0,11,445},{29,1,421},{0,11,445},{5,0,433},{5,0,433},{5,0,433},{5,0,433},{3,12,1},{3,12,1},{3,12,1},{3,9,4},{0,10,40},{0,10,40},{6,23,854},{6,19,438},{6,15,603},
{6,14,443},{4,22,1515},{3,18,566},{4,14,15},{3,12,578},{0,16,1911},{0,12,458},{7,21,441},{7,18,41},{8,14,35},{7,14,53},{16,2,1514},{0,20,425},{4,14,14},{0,12,433},{27,1,1514},{0,12,433},{6,18,434},{6,18,434},{6,18,434},{6,13,437},{4,17,341},{4,14,14},{4,14,14},{4,10,30},{0,14,477},{0,11,35},{7,17,17},{7,17,17},{7,17,17},{7,13,17},{14,1,338},
{3,15,4},{3,15,4},{2,11,10},{24,0,338},{2,11,10},{18,3,421},{5,20,4},{9,14,5},{5,14,1},{18,3,421},{30,2,421},{5,14,1},{0,12,433},{30,2,421},{0,12,433},{6,0,433},{6,0,433},{6,0,433},{6,0,433},{4,13,2},{4,13,2},{4,13,2},{4,10,5},{0,12,25},{0,12,25},{7,24,854},{7,20,437},{7,16,597},{7,15,443},{5,23,1515},{4,19,570},{5,15,15},
{4,13,582},{0,18,1787},{0,13,442},{8,22,430},{8,19,29},{9,15,35},{8,15,46},{17,3,1514},{2,20,425},{5,15,14},{1,13,433},{28,2,1514},{1,13,433},{7,19,434},{7,19,434},{7,19,434},{7,14,437},{5,18,341},{5,15,14},{5,15,14},{5,11,30},{0,16,419},{1,12,45},{8,18,10},{8,18,10},{8,18,10},{8,14,10},{16,0,338},{4,16,2},{4,16,2},{3,12,17},{25,1,338},
{3,12,17},{20,2,421},{7,20,4},{10,15,5},{6,15,1},{20,2,421},{31,3,421},{6,15,1},{0,13,433},{31,3,421},{0,13,433},{7,0,433},{7,0,433},{7,0,433},{7,0,433},{5,14,2},{5,14,2},{5,14,2},{5,11,5},{0,13,9},{0,13,9},{8,25,866},{8,21,454},{8,17,609},{8,16,461},{6,24,1515},{5,20,570},{6,16,19},{5,14,582},{0,20,1686},{1,14,442},{9,23,430},
{9,20,38},{10,16,34},{9,16,58},{18,4,1514},{3,21,425},{6,16,18},{2,14,433},{29,3,1514},{2,14,433},{8,20,445},{8,20,445},{8,20,445},{8,15,449},{6,19,341},{6,16,19},{6,16,19},{6,12,26},{0,17,372},{2,13,45},{9,19,10},{9,19,10},{9,19,10},{9,15,10},{17,1,338},{5,17,2},{5,17,2},{5,12,16},{26,2,338},{5,12,16},{23,0,421},{7,22,4},{11,16,4},
{7,16,0},{23,0,421},{30,5,421},{7,16,0},{0,14,433},{30,5,421},{0,14,433},{8,0,445},{8,0,445},{8,0,445},{8,0,445},{6,15,2},{6,15,2},{6,15,2},{6,11,10},{0,15,5},{0,15,5},{9,26,854},{9,22,438},{9,18,603},{9,17,443},{7,25,1517},{7,20,554},{7,17,21},{7,15,589},{0,22,1614},{2,15,462},{11,23,437},{10,21,41},{11,17,33},{10,17,53},{22,0,1514},
{3,23,422},{7,17,21},{3,15,446},{30,4,1514},{3,15,446},{9,21,434},{9,21,434},{9,21,434},{9,16,437},{7,21,340},{7,17,20},{7,17,20},{7,13,29},{0,19,347},{3,14,46},{11,18,17},{11,18,17},{11,18,17},{10,16,17},{17,4,338},{6,18,4},{6,18,4},{5,14,10},{29,2,338},{5,14,10},{24,1,421},{8,23,1},{12,17,5},{8,17,1},{24,1,421},{31,6,421},{8,17,1},
{0,15,445},{31,6,421},{0,15,445},{9,0,433},{9,0,433},{9,0,433},{9,0,433},{7,16,1},{7,16,1},{7,16,1},{7,13,4},{2,16,8},{2,16,8},{10,27,854},{10,23,438},{10,19,603},{10,18,443},{8,26,1515},{7,22,566},{8,18,15},{7,16,578},{0,23,1566},{3,16,443},{11,25,441},{11,22,41},{12,18,35},{11,18,53},{23,1,1514},{4,24,425},{8,18,14},{4,16,433},{31,5,1514},
{4,16,433},{10,22,434},{10,22,434},{10,22,434},{10,17,437},{8,21,341},{8,18,14},{8,18,14},{8,14,30},{1,20,341},{4,15,35},{11,21,17},{11,21,17},{11,21,17},{11,17,17},{18,5,338},{7,19,4},{7,19,4},{6,15,10},{30,3,338},{6,15,10},{25,2,421},{9,24,4},{13,18,5},{9,18,1},{25,2,421},{29,9,421},{9,18,1},{0,16,433},{29,9,421},{0,16,433},{10,0,433},
{10,0,433},{10,0,433},{10,0,433},{8,17,2},{8,17,2},{8,17,2},{8,14,5},{3,17,8},{3,17,8},{11,28,854},{11,24,437},{11,20,597},{11,19,443},{9,27,1515},{8,23,570},{9,19,15},{8,17,582},{0,25,1533},{4,17,442},{12,26,430},{12,23,29},{13,19,35},{12,19,46},{24,2,1514},{6,24,425},{9,19,14},{5,17,433},{27,9,1514},{5,17,433},{11,23,434},{11,23,434},{11,23,434},
{11,18,437},{9,22,341},{9,19,14},{9,19,14},{9,15,30},{2,21,341},{5,16,45},{12,22,10},{12,22,10},{12,22,10},{12,18,10},{20,4,338},{8,20,2},{8,20,2},{7,16,17},{29,5,338},{7,16,17},{26,3,421},{11,24,4},{14,19,5},{10,19,1},{26,3,421},{30,10,421},{10,19,1},{0,17,433},{30,10,421},{0,17,433},{11,0,433},{11,0,433},{11,0,433},{11,0,433},{9,18,2},
{9,18,2},{9,18,2},{9,15,5},{4,17,9},{4,17,9},{12,29,866},{12,25,454},{12,21,609},{12,20,461},{10,28,1515},{9,24,570},{10,20,19},{9,18,582},{0,27,1521},{5,18,442},{13,27,430},{13,24,38},{14,20,34},{13,20,58},{25,3,1514},{7,25,425},{10,20,18},{6,18,433},{28,10,1514},{6,18,433},{12,24,445},{12,24,445},{12,24,445},{12,19,449},{10,23,341},{10,20,19},{10,20,19},
{10,16,26},{3,22,341},{6,17,45},{13,23,10},{13,23,10},{13,23,10},{13,19,10},{24,0,338},{9,21,2},{9,21,2},{9,16,16},{30,6,338},{9,16,16},{28,2,421},{11,26,4},{15,20,4},{11,20,0},{28,2,421},{31,11,421},{11,20,0},{0,18,433},{31,11,421},{0,18,433},{12,0,445},{12,0,445},{12,0,445},{12,0,445},{10,19,2},{10,19,2},{10,19,2},{10,15,10},{4,19,5},
{4,19,5},{13,30,854},{13,26,438},{13,22,603},{13,21,443},{11,29,1517},{11,24,554},{11,21,21},{11,19,589},{1,28,1518},{6,19,462},{15,27,437},{14,25,41},{15,21,33},{14,21,53},{26,4,1514},{7,27,422},{11,21,21},{7,19,446},{31,10,1514},{7,19,446},{13,25,434},{13,25,434},{13,25,434},{13,20,437},{11,25,340},{11,21,20},{11,21,20},{11,17,29},{3,24,339},{7,18,46},{15,22,17},
{15,22,17},{15,22,17},{14,20,17},{24,3,338},{10,22,4},{10,22,4},{9,18,10},{28,9,338},{9,18,10},{31,0,421},{12,27,1},{16,21,5},{12,21,1},{31,0,421},{30,13,421},{12,21,1},{0,19,445},{30,13,421},{0,19,445},{13,0,433},{13,0,433},{13,0,433},{13,0,433},{11,20,1},{11,20,1},{11,20,1},{11,17,4},{6,20,8},{6,20,8},{14,31,854},{14,27,438},{14,23,603},
{14,22,443},{12,30,1515},{11,26,566},{12,22,15},{11,20,578},{2,29,1518},{7,20,443},{15,29,441},{15,26,41},{16,22,35},{15,22,53},{30,0,1514},{8,28,425},{12,22,14},{8,20,433},{30,12,1514},{8,20,433},{14,26,434},{14,26,434},{14,26,434},{14,21,437},{12,25,341},{12,22,14},{12,22,14},{12,18,30},{5,24,341},{8,19,35},{15,25,17},{15,25,17},{15,25,17},{15,21,17},{22,9,338},
{11,23,4},{11,23,4},{10,19,10},{29,10,338},{10,19,10},{31,3,421},{13,28,4},{17,22,5},{13,22,1},{31,3,421},{31,14,421},{13,22,1},{0,20,433},{31,14,421},{0,20,433},{14,0,433},{14,0,433},{14,0,433},{14,0,433},{12,21,2},{12,21,2},{12,21,2},{12,18,5},{7,21,8},{7,21,8},{15,31,878},{15,28,437},{15,24,597},{15,23,443},{13,31,1515},{12,27,570},{13,23,15},
{12,21,582},{3,30,1518},{8,21,442},{16,30,430},{16,27,29},{17,23,35},{16,23,46},{31,1,1514},{10,28,425},{13,23,14},{9,21,433},{31,13,1514},{9,21,433},{15,27,434},{15,27,434},{15,27,434},{15,22,437},{13,26,341},{13,23,14},{13,23,14},{13,19,30},{6,25,341},{9,20,45},{16,26,10},{16,26,10},{16,26,10},{16,22,10},{24,8,338},{12,24,2},{12,24,2},{11,20,17},{30,11,338},
{11,20,17},{30,7,421},{15,28,4},{18,23,5},{14,23,1},{30,7,421},{30,16,421},{14,23,1},{0,21,433},{30,16,421},{0,21,433},{15,0,433},{15,0,433},{15,0,433},{15,0,433},{13,22,2},{13,22,2},{13,22,2},{13,19,5},{8,21,9},{8,21,9},{16,31,926},{16,29,454},{16,25,609},{16,24,461},{14,31,1542},{13,28,570},{14,24,19},{13,22,582},{4,31,1521},{9,22,442},{17,31,430},
{17,28,38},{18,24,34},{17,24,58},{29,7,1514},{11,29,425},{14,24,18},{10,22,433},{27,17,1514},{10,22,433},{16,28,445},{16,28,445},{16,28,445},{16,23,449},{14,27,341},{14,24,19},{14,24,19},{14,20,26},{7,26,341},{10,21,45},{17,27,10},{17,27,10},{17,27,10},{17,23,10},{28,4,338},{13,25,2},{13,25,2},{13,20,16},{29,13,338},{13,20,16},{31,8,421},{15,30,4},{19,24,4},
{15,24,0},{31,8,421},{31,17,421},{15,24,0},{0,22,433},{31,17,421},{0,22,433},{16,0,445},{16,0,445},{16,0,445},{16,0,445},{14,23,2},{14,23,2},{14,23,2},{14,19,10},{8,23,5},{8,23,5},{17,31,1034},{17,30,438},{17,26,603},{17,25,443},{16,31,1598},{15,28,554},{15,25,21},{15,23,589},{6,31,1535},{10,23,462},{19,31,437},{18,29,41},{19,25,33},{18,25,53},{30,8,1514},
{11,31,422},{15,25,21},{11,23,446},{28,18,1514},{11,23,446},{17,29,434},{17,29,434},{17,29,434},{17,24,437},{15,29,340},{15,25,20},{15,25,20},{15,21,29},{7,28,339},{11,22,46},{19,26,17},{19,26,17},{19,26,17},{18,24,17},{31,2,338},{14,26,4},{14,26,4},{13,22,10},{27,16,338},{13,22,10},{31,11,421},{16,31,1},{20,25,5},{16,25,1},{31,11,421},{31,19,421},{16,25,1},
{0,23,445},{31,19,421},{0,23,445},{17,0,433},{17,0,433},{17,0,433},{17,0,433},{15,24,1},{15,24,1},{15,24,1},{15,21,4},{10,24,8},{10,24,8},{18,31,1166},{18,31,438},{18,27,603},{18,26,443},{17,31,1643},{15,30,566},{16,26,15},{15,24,578},{8,31,1566},{11,24,443},{20,31,458},{19,30,41},{20,26,35},{19,26,53},{31,9,1514},{13,31,429},{16,26,14},{12,24,433},{29,19,1514},
{12,24,433},{18,30,434},{18,30,434},{18,30,434},{18,25,437},{16,29,341},{16,26,14},{16,26,14},{16,22,30},{9,28,341},{12,23,35},{19,29,17},{19,29,17},{19,29,17},{19,25,17},{26,13,338},{15,27,4},{15,27,4},{14,23,10},{21,21,338},{14,23,10},{30,15,421},{18,31,5},{21,26,5},{17,26,1},{30,15,421},{30,21,421},{17,26,1},{0,24,433},{30,21,421},{0,24,433},{18,0,433},
{18,0,433},{18,0,433},{18,0,433},{16,25,2},{16,25,2},{16,25,2},{16,22,5},{11,25,8},{11,25,8},{20,31,1326},{19,31,470},{19,28,597},{19,27,443},{18,31,1742},{16,31,570},{17,27,15},{16,25,582},{10,31,1638},{12,25,442},{21,31,506},{20,31,29},{21,27,35},{20,27,46},{29,15,1514},{15,31,461},{17,27,14},{13,25,433},{30,20,1514},{13,25,433},{19,31,434},{19,31,434},{19,31,434},
{19,26,437},{17,30,341},{17,27,14},{17,27,14},{17,23,30},{10,29,341},{13,24,45},{20,30,10},{20,30,10},{20,30,10},{20,26,10},{28,12,338},{16,28,2},{16,28,2},{15,24,17},{22,22,338},{15,24,17},{31,16,421},{20,31,20},{22,27,5},{18,27,1},{31,16,421},{31,22,421},{18,27,1},{0,25,433},{31,22,421},{0,25,433},{19,0,433},{19,0,433},{19,0,433},{19,0,433},{17,26,2},
{17,26,2},{17,26,2},{17,23,5},{12,25,9},{12,25,9},{21,31,1470},{20,31,561},{20,29,609},{20,28,461},{19,31,1895},{18,31,578},{18,28,19},{17,26,582},{12,31,1761},{13,26,442},{22,31,590},{21,31,59},{22,28,34},{21,28,58},{30,16,1514},{17,31,530},{18,28,18},{14,26,433},{31,21,1514},{14,26,433},{20,31,461},{20,31,461},{20,31,461},{20,27,449},{18,31,341},{18,28,19},{18,28,19},
{18,24,26},{11,30,341},{14,25,45},{21,31,10},{21,31,10},{21,31,10},{21,27,10},{29,13,338},{17,29,2},{17,29,2},{17,24,16},{28,20,338},{17,24,16},{31,19,421},{21,31,50},{23,28,4},{19,28,0},{31,19,421},{30,24,421},{19,28,0},{0,26,433},{30,24,421},{0,26,433},{20,0,445},{20,0,445},{20,0,445},{20,0,445},{18,27,2},{18,27,2},{18,27,2},{18,23,10},{12,27,5},
{12,27,5},{22,31,1674},{21,31,753},{21,30,603},{21,29,443},{21,31,2046},{19,31,629},{19,29,21},{19,27,589},{15,31,1917},{14,27,462},{24,31,674},{23,31,120},{23,29,33},{22,29,53},{30,19,1514},{19,31,629},{19,29,21},{15,27,446},{27,25,1514},{15,27,446},{21,31,497},{21,31,497},{21,31,497},{21,28,437},{19,31,388},{19,29,20},{19,29,20},{19,25,29},{12,31,347},{15,26,46},{23,30,17},
{23,30,17},{23,30,17},{22,28,17},{29,16,338},{18,30,4},{18,30,4},{17,26,10},{31,20,338},{17,26,10},{30,23,421},{23,31,104},{24,29,5},{20,29,1},{30,23,421},{30,26,421},{20,29,1},{0,27,445},{30,26,421},{0,27,445},{21,0,433},{21,0,433},{21,0,433},{21,0,433},{19,28,1},{19,28,1},{19,28,1},{19,25,4},{14,28,8},{14,28,8},{23,31,1902},{22,31,995},{22,31,603},
{22,30,443},{22,31,2235},{20,31,759},{20,30,15},{19,28,578},{17,31,2118},{15,28,443},{25,31,770},{24,31,250},{24,30,35},{23,30,53},{29,23,1514},{21,31,701},{20,30,14},{16,28,433},{28,26,1514},{16,28,433},{22,31,554},{22,31,554},{22,31,554},{22,29,437},{21,31,437},{20,30,14},{20,30,14},{20,26,30},{14,31,379},{16,27,35},{24,31,25},{24,31,25},{24,31,25},{23,29,17},{30,17,338},
{19,31,4},{19,31,4},{18,27,10},{25,25,338},{18,27,10},{31,24,421},{25,31,169},{25,30,5},{21,30,1},{31,24,421},{31,27,421},{21,30,1},{0,28,433},{31,27,421},{0,28,433},{22,0,433},{22,0,433},{22,0,433},{22,0,433},{20,29,2},{20,29,2},{20,29,2},{20,26,5},{15,29,8},{15,29,8},{24,31,2045},{24,31,1233},{23,31,629},{23,31,442},{24,31,2360},{22,31,914},{21,31,14},
{20,29,549},{19,31,2241},{16,29,409},{26,31,849},{25,31,395},{25,31,34},{24,31,45},{30,24,1459},{23,31,778},{21,31,13},{17,29,400},{29,27,1459},{17,29,400},{23,31,629},{23,31,629},{23,31,629},{23,30,437},{22,31,491},{21,31,14},{21,31,14},{21,27,30},{16,31,446},{17,28,45},{25,31,34},{25,31,34},{25,31,34},{24,30,10},{31,18,338},{21,31,13},{21,31,13},{19,28,17},{26,26,338},
{19,28,17},{30,28,392},{27,31,218},{26,31,4},{22,31,0},{30,28,392},{28,30,392},{22,31,0},{0,29,400},{28,30,392},{0,29,400},{23,0,433},{23,0,433},{23,0,433},{23,0,433},{21,30,2},{21,30,2},{21,30,2},{21,27,5},{16,29,9},{16,29,9},{25,31,1767},{25,31,1167},{24,31,701},{24,31,449},{24,31,1976},{23,31,747},{22,31,66},{22,29,337},{20,31,1820},{17,30,217},{27,31,611},
{26,31,317},{26,31,61},{25,31,10},{31,24,1064},{25,31,587},{23,31,41},{18,30,208},{24,31,1064},{18,30,208},{24,31,701},{24,31,701},{24,31,701},{24,31,449},{23,31,581},{22,31,66},{22,31,66},{22,28,26},{18,31,530},{18,29,45},{26,31,61},{26,31,61},{26,31,61},{25,31,10},{30,22,338},{23,31,41},{23,31,41},{21,28,16},{27,27,338},{21,28,16},{29,31,200},{28,31,106},{27,31,1},
{25,31,1},{29,31,200},{31,29,200},{25,31,1},{0,30,208},{31,29,200},{0,30,208},{24,0,445},{24,0,445},{24,0,445},{24,0,445},{22,31,2},{22,31,2},{22,31,2},{22,27,10},{16,31,5},{16,31,5},{26,31,1542},{26,31,1122},{25,31,833},{25,31,497},{26,31,1647},{24,31,687},{24,31,203},{23,30,122},{22,31,1515},{19,30,110},{28,31,410},{28,31,266},{27,31,116},{27,31,20},{31,26,722},
{26,31,402},{25,31,100},{21,30,74},{29,29,722},{21,30,74},{25,31,833},{25,31,833},{25,31,833},{25,31,497},{24,31,707},{24,31,203},{24,31,203},{23,29,29},{20,31,619},{19,30,46},{27,31,116},{27,31,116},{27,31,116},{27,31,20},{30,25,338},{25,31,100},{25,31,100},{21,30,10},{30,27,338},{21,30,10},{31,29,61},{29,31,37},{29,31,1},{27,31,4},{31,29,61},{31,30,61},{27,31,4},
{0,30,73},{31,30,61},{0,30,73},{25,0,433},{25,0,433},{25,0,433},{25,0,433},{23,31,25},{23,31,25},{23,31,25},{23,29,4},{18,31,17},{18,31,17},{27,31,1406},{27,31,1134},{26,31,962},{26,31,602},{27,31,1454},{25,31,702},{25,31,341},{24,31,59},{24,31,1378},{20,31,35},{29,31,318},{28,31,250},{28,31,169},{28,31,61},{30,29,509},{28,31,313},{27,31,164},{22,31,10},{29,30,509},
{22,31,10},{26,31,962},{26,31,962},{26,31,962},{26,31,602},{26,31,827},{25,31,341},{25,31,341},{24,30,30},{22,31,747},{20,31,35},{28,31,169},{28,31,169},{28,31,169},{28,31,61},{31,26,338},{27,31,164},{27,31,164},{22,31,10},{29,29,338},{22,31,10},{31,30,9},{31,31,9},{30,31,4},{30,31,0},{31,30,9},{30,31,9},{30,31,0},{0,31,9},{30,31,9},{0,31,9},{26,0,433},
{26,0,433},{26,0,433},{26,0,433},{24,31,50},{24,31,50},{24,31,50},{24,30,5},{20,31,26},{20,31,26},{28,31,1135},{28,31,991},{27,31,874},{27,31,602},{28,31,1162},{26,31,618},{26,31,362},{25,31,5},{25,31,1087},{22,31,58},{30,31,219},{29,31,161},{29,31,125},{29,31,61},{31,29,297},{29,31,193},{28,31,117},{24,31,1},{30,30,297},{24,31,1},{27,31,874},{27,31,874},{27,31,874},
{27,31,602},{27,31,730},{26,31,362},{26,31,362},{25,31,5},{24,31,681},{22,31,58},{29,31,125},{29,31,125},{29,31,125},{29,31,61},{30,29,221},{28,31,117},{28,31,117},{24,31,1},{31,29,221},{24,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{27,0,433},{27,0,433},{27,0,433},{27,0,433},{25,31,101},
{25,31,101},{25,31,101},{25,31,5},{22,31,58},{22,31,58},{29,31,885},{28,31,751},{28,31,670},{28,31,526},{28,31,778},{27,31,483},{27,31,314},{26,31,10},{26,31,777},{24,31,117},{30,31,75},{30,31,59},{30,31,50},{30,31,34},{30,31,114},{29,31,81},{29,31,45},{27,31,0},{31,30,114},{27,31,0},{28,31,670},{28,31,670},{28,31,670},{28,31,526},{28,31,553},{27,31,314},{27,31,314},
{26,31,10},{25,31,518},{24,31,117},{30,31,50},{30,31,50},{30,31,50},{30,31,34},{31,29,85},{29,31,45},{29,31,45},{27,31,0},{29,31,85},{27,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{28,0,445},{28,0,445},{28,0,445},{28,0,445},{27,31,145},{27,31,145},{27,31,145},{26,31,10},{24,31,117},
{24,31,117},{0,13,884},{0,10,225},{0,7,18},{0,6,265},{0,9,1899},{0,7,1355},{0,6,589},{0,4,1354},{0,5,2124},{0,4,1498},{0,13,884},{0,10,225},{0,7,18},{0,6,265},{4,2,1896},{0,7,1355},{0,6,589},{0,4,1354},{7,1,1896},{0,4,1354},{0,6,0},{0,6,0},{0,6,0},{0,4,4},{0,3,162},{0,3,90},{0,3,90},{0,2,104},{0,2,200},{0,1,134},{0,6,0},
{0,6,0},{0,6,0},{0,4,4},{0,3,162},{0,3,90},{0,3,90},{0,2,104},{3,0,162},{0,2,104},{6,3,882},{0,10,225},{0,7,18},{0,6,265},{6,3,882},{8,3,882},{0,6,265},{0,5,890},{8,3,882},{0,5,890},{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},{0,15,884},{0,12,170},{0,8,8},
{0,7,202},{0,10,2360},{0,8,1530},{0,7,643},{0,5,1579},{0,6,2684},{0,5,1804},{0,15,884},{0,12,170},{0,8,8},{0,7,202},{5,2,2355},{0,8,1530},{0,7,643},{0,5,1579},{7,2,2355},{0,5,1579},{0,9,1},{0,9,1},{0,9,1},{0,5,1},{0,4,340},{0,4,180},{0,4,180},{0,2,200},{0,2,392},{0,2,236},{0,9,1},{0,9,1},{0,9,1},{0,5,1},{2,1,338},
{0,4,180},{0,4,180},{0,2,200},{1,2,338},{0,2,200},{8,2,882},{0,12,170},{0,8,8},{0,7,202},{8,2,882},{12,2,882},{0,7,202},{0,6,890},{12,2,882},{0,6,890},{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},{0,18,882},{0,14,106},{0,10,52},{0,9,148},{0,12,2899},{0,9,1773},{0,8,725},
{0,6,1854},{0,7,3348},{0,5,2124},{0,18,882},{0,14,106},{0,10,52},{0,9,148},{2,9,2899},{0,9,1773},{0,8,725},{0,6,1854},{12,0,2899},{0,6,1854},{0,11,1},{0,11,1},{0,11,1},{0,7,1},{0,6,580},{0,5,306},{0,5,306},{0,3,325},{0,3,667},{0,3,406},{0,11,1},{0,11,1},{0,11,1},{0,7,1},{1,4,578},{0,5,306},{0,5,306},{0,3,325},{4,1,578},
{0,3,325},{9,3,882},{0,14,106},{1,9,8},{0,9,148},{9,3,882},{18,0,882},{0,9,148},{0,7,890},{18,0,882},{0,7,890},{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},{0,21,920},{0,16,89},{1,11,120},{0,10,121},{0,14,3051},{0,11,1709},{0,9,557},{0,7,1795},{0,8,3651},{0,6,2174},{1,19,886},
{0,16,89},{1,11,56},{0,10,121},{8,1,3048},{0,11,1709},{0,9,557},{0,7,1795},{6,5,3048},{0,7,1795},{0,14,37},{0,14,37},{0,14,37},{0,8,37},{0,8,648},{0,7,274},{0,7,274},{0,4,277},{0,4,824},{0,4,421},{1,12,4},{1,12,4},{1,12,4},{1,8,8},{3,3,648},{0,7,274},{0,7,274},{0,4,277},{8,0,648},{0,4,277},{10,4,882},{0,16,53},{2,10,8},
{0,10,85},{10,4,882},{19,1,882},{0,10,85},{0,8,900},{19,1,882},{0,8,900},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,10},{0,1,10},{1,22,995},{1,17,158},{1,12,230},{1,11,186},{0,17,3051},{0,13,1579},{0,10,346},{0,8,1630},{0,9,3924},{0,7,2173},{2,20,885},{2,16,90},{2,12,53},{1,11,122},{8,4,3048},
{0,13,1579},{0,10,346},{0,8,1630},{14,2,3048},{0,8,1630},{1,15,113},{1,15,113},{1,15,113},{1,9,117},{0,11,648},{0,9,169},{0,9,169},{0,5,200},{0,6,990},{0,5,425},{2,13,2},{2,13,2},{2,13,2},{2,9,2},{6,1,648},{0,9,169},{0,9,169},{0,5,200},{11,0,648},{0,5,200},{13,2,882},{0,18,17},{3,11,18},{0,11,34},{13,2,882},{22,1,882},{0,11,34},
{0,9,890},{22,1,882},{0,9,890},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,61},{0,2,61},{1,24,1173},{1,19,306},{2,13,422},{1,12,318},{0,20,3048},{0,15,1443},{0,12,204},{0,9,1483},{0,11,4212},{0,8,2174},{3,21,885},{3,17,90},{3,13,53},{2,12,117},{12,0,3048},{0,15,1443},{0,12,204},{0,9,1483},{20,0,3048},
{0,9,1483},{1,18,290},{1,18,290},{1,18,290},{1,11,289},{0,13,650},{0,11,109},{0,11,109},{0,7,148},{0,7,1161},{0,6,473},{3,14,2},{3,14,2},{3,14,2},{3,10,2},{8,0,648},{0,11,109},{0,11,109},{0,7,148},{5,5,648},{0,7,148},{14,3,882},{0,20,8},{4,12,8},{0,12,8},{14,3,882},{26,0,882},{0,12,8},{0,10,890},{26,0,882},{0,10,890},{1,0,289},
{1,0,289},{1,0,289},{1,0,289},{0,8,1},{0,8,1},{0,8,1},{0,5,4},{0,3,145},{0,3,145},{2,25,1365},{2,20,497},{2,14,713},{2,13,510},{0,23,3051},{0,16,1278},{0,13,86},{0,10,1354},{0,12,4609},{0,9,2228},{4,22,886},{3,19,94},{4,14,56},{3,13,117},{13,1,3048},{0,16,1278},{0,13,86},{0,10,1354},{21,1,3048},{0,10,1354},{2,19,482},{2,19,482},{2,19,482},
{2,12,481},{0,16,648},{0,12,72},{0,12,72},{0,8,101},{0,8,1352},{0,7,557},{4,15,5},{4,15,5},{4,15,5},{4,11,5},{9,1,648},{0,12,72},{0,12,72},{0,8,101},{16,0,648},{0,8,101},{16,2,882},{1,21,8},{5,13,8},{0,13,5},{16,2,882},{27,1,882},{0,13,5},{0,11,890},{27,1,882},{0,11,890},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{0,10,1},
{0,10,1},{0,10,1},{0,6,1},{0,5,261},{0,5,261},{2,28,1667},{2,22,793},{3,15,1033},{2,14,793},{0,25,3048},{0,18,1170},{0,14,36},{0,11,1243},{0,14,5005},{0,10,2318},{5,23,886},{4,20,89},{5,15,56},{4,14,121},{14,2,3048},{0,18,1170},{0,14,36},{0,11,1243},{25,0,3048},{0,11,1243},{2,21,786},{2,21,786},{2,21,786},{2,14,789},{0,19,650},{0,14,32},{0,14,32},
{0,9,50},{0,9,1619},{0,8,661},{5,16,4},{5,16,4},{5,16,4},{5,12,8},{10,2,648},{0,14,32},{0,14,32},{0,9,50},{17,1,648},{0,9,50},{17,3,882},{2,22,8},{6,14,8},{1,14,5},{17,3,882},{28,2,882},{1,14,5},{0,12,900},{28,2,882},{0,12,900},{2,0,785},{2,0,785},{2,0,785},{2,0,785},{0,13,1},{0,13,1},{0,13,1},{0,8,4},{0,6,405},
{0,6,405},{3,29,1784},{3,23,902},{4,16,1186},{3,15,910},{1,26,3055},{0,20,1095},{1,15,47},{0,12,1159},{0,16,4945},{0,12,2084},{6,24,885},{6,20,90},{6,16,53},{5,15,122},{12,8,3048},{0,20,1059},{0,16,41},{0,12,1123},{28,0,3048},{0,12,1123},{3,23,901},{3,23,901},{3,23,901},{3,15,901},{1,20,652},{1,15,38},{1,15,38},{1,10,44},{0,11,1577},{0,9,545},{6,17,2},
{6,17,2},{6,17,2},{6,13,2},{13,0,648},{0,16,5},{0,16,5},{0,10,13},{20,1,648},{0,10,13},{17,6,882},{3,23,2},{7,15,18},{3,15,10},{17,6,882},{31,2,882},{3,15,10},{0,13,890},{31,2,882},{0,13,890},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{1,14,4},{1,14,4},{1,14,4},{1,9,5},{0,8,373},{0,8,373},{4,30,1772},{4,24,898},{5,17,1186},
{4,16,898},{2,27,3055},{1,21,1095},{2,16,33},{1,13,1159},{0,17,4639},{0,13,1730},{7,25,885},{7,21,90},{7,17,53},{6,16,117},{16,4,3048},{0,21,996},{2,16,29},{0,13,1054},{29,1,3048},{0,13,1054},{4,23,891},{4,23,891},{4,23,891},{4,16,894},{2,21,652},{2,16,29},{2,16,29},{2,11,44},{0,13,1452},{0,11,365},{7,18,2},{7,18,2},{7,18,2},{7,14,2},{14,1,648},
{0,18,1},{0,18,1},{0,11,4},{24,0,648},{0,11,4},{22,0,882},{4,24,8},{8,16,8},{3,16,5},{22,0,882},{30,4,882},{3,16,5},{0,14,890},{30,4,882},{0,14,890},{4,0,890},{4,0,890},{4,0,890},{4,0,890},{2,15,4},{2,15,4},{2,15,4},{2,10,5},{0,9,269},{0,9,269},{5,31,1772},{5,25,898},{6,18,1186},{5,17,898},{3,28,3055},{2,22,1095},{3,17,33},
{2,14,1159},{0,19,4419},{0,14,1444},{8,26,886},{7,23,94},{8,18,56},{7,17,117},{17,5,3048},{0,23,936},{3,17,29},{0,14,1003},{30,2,3048},{0,14,1003},{5,24,891},{5,24,891},{5,24,891},{5,17,894},{3,22,652},{3,17,29},{3,17,29},{3,12,41},{0,15,1296},{0,12,235},{8,19,5},{8,19,5},{8,19,5},{8,15,5},{16,0,648},{1,19,1},{1,19,1},{1,12,1},{25,1,648},
{1,12,1},{23,1,882},{5,25,8},{9,17,8},{4,17,5},{23,1,882},{31,5,882},{4,17,5},{0,15,890},{31,5,882},{0,15,890},{5,0,890},{5,0,890},{5,0,890},{5,0,890},{3,16,4},{3,16,4},{3,16,4},{3,11,5},{0,11,185},{0,11,185},{6,31,1790},{6,26,898},{7,19,1186},{6,18,898},{4,29,3057},{3,23,1095},{4,18,45},{3,15,1159},{0,20,4156},{0,15,1226},{9,27,886},
{8,24,89},{9,19,56},{8,18,121},{18,6,3048},{0,25,909},{4,18,36},{0,15,970},{31,3,3048},{0,15,970},{6,25,891},{6,25,891},{6,25,891},{6,18,894},{4,23,659},{4,18,41},{4,18,41},{3,13,46},{0,16,1137},{0,13,137},{9,20,4},{9,20,4},{9,20,4},{9,16,8},{17,1,648},{2,20,2},{2,20,2},{2,13,1},{26,2,648},{2,13,1},{24,2,882},{6,26,8},{10,18,8},
{5,18,5},{24,2,882},{27,9,882},{5,18,5},{0,16,900},{27,9,882},{0,16,900},{6,0,890},{6,0,890},{6,0,890},{6,0,890},{4,17,10},{4,17,10},{4,17,10},{4,12,13},{0,13,136},{0,13,136},{8,31,1844},{7,27,902},{8,20,1186},{7,19,910},{5,30,3055},{4,24,1095},{5,19,47},{4,16,1159},{0,22,3940},{0,16,1055},{10,28,885},{10,24,90},{10,20,53},{9,19,122},{22,2,3048},
{0,27,886},{4,20,41},{0,17,926},{22,10,3048},{0,17,926},{7,27,901},{7,27,901},{7,27,901},{7,19,901},{5,24,652},{5,19,38},{5,19,38},{5,14,44},{0,18,1002},{0,15,110},{10,21,2},{10,21,2},{10,21,2},{10,17,2},{17,4,648},{3,21,4},{3,21,4},{3,14,5},{29,2,648},{3,14,5},{27,0,882},{7,27,2},{11,19,18},{7,19,10},{27,0,882},{30,9,882},{7,19,10},
{0,17,890},{30,9,882},{0,17,890},{7,0,900},{7,0,900},{7,0,900},{7,0,900},{5,18,4},{5,18,4},{5,18,4},{5,13,5},{0,15,74},{0,15,74},{9,31,1886},{8,28,898},{9,21,1186},{8,20,898},{6,31,3055},{5,25,1095},{6,20,33},{5,17,1159},{0,23,3820},{0,18,963},{11,29,885},{11,25,90},{11,21,53},{10,20,117},{23,3,3048},{1,28,888},{6,20,29},{0,18,899},{28,8,3048},
{0,18,899},{8,27,891},{8,27,891},{8,27,891},{8,20,894},{6,25,652},{6,20,29},{6,20,29},{6,15,44},{0,20,876},{0,16,102},{11,22,2},{11,22,2},{11,22,2},{11,18,2},{18,5,648},{4,22,1},{4,22,1},{4,15,4},{30,3,648},{4,15,4},{26,4,882},{8,28,8},{12,20,8},{7,20,5},{26,4,882},{31,10,882},{7,20,5},{0,18,890},{31,10,882},{0,18,890},{8,0,890},
{8,0,890},{8,0,890},{8,0,890},{6,19,4},{6,19,4},{6,19,4},{6,14,5},{0,17,29},{0,17,29},{10,31,1964},{9,29,898},{10,22,1186},{9,21,898},{7,31,3100},{6,26,1095},{7,21,33},{6,18,1159},{0,25,3679},{0,19,899},{12,30,886},{11,27,94},{12,22,56},{11,21,117},{21,9,3048},{2,29,888},{7,21,29},{0,19,890},{29,9,3048},{0,19,890},{9,28,891},{9,28,891},{9,28,891},
{9,21,894},{7,26,652},{7,21,29},{7,21,29},{7,16,41},{0,22,800},{2,16,98},{12,23,5},{12,23,5},{12,23,5},{12,19,5},{20,4,648},{5,23,1},{5,23,1},{5,16,1},{29,5,648},{5,16,1},{30,0,882},{9,29,8},{13,21,8},{8,21,5},{30,0,882},{30,12,882},{8,21,5},{0,19,890},{30,12,882},{0,19,890},{9,0,890},{9,0,890},{9,0,890},{9,0,890},{7,20,4},
{7,20,4},{7,20,4},{7,15,5},{0,19,9},{0,19,9},{11,31,2078},{10,30,898},{11,23,1186},{10,22,898},{9,31,3181},{7,27,1095},{8,22,45},{7,19,1159},{0,27,3523},{0,20,908},{13,31,886},{12,28,89},{13,23,56},{12,22,121},{22,10,3048},{3,30,888},{8,22,36},{1,20,901},{30,10,3048},{1,20,901},{10,29,891},{10,29,891},{10,29,891},{10,22,894},{8,27,659},{8,22,41},{8,22,41},
{7,17,46},{0,23,747},{3,17,98},{13,24,4},{13,24,4},{13,24,4},{13,20,8},{24,0,648},{6,24,2},{6,24,2},{6,17,1},{30,6,648},{6,17,1},{31,1,882},{10,30,8},{14,22,8},{9,22,5},{31,1,882},{31,13,882},{9,22,5},{0,20,900},{31,13,882},{0,20,900},{10,0,890},{10,0,890},{10,0,890},{10,0,890},{8,21,10},{8,21,10},{8,21,10},{8,16,13},{0,20,8},
{0,20,8},{12,31,2228},{11,31,902},{12,24,1186},{11,23,910},{10,31,3256},{8,28,1095},{9,23,47},{8,20,1159},{0,29,3364},{2,21,894},{14,31,915},{14,28,90},{14,24,53},{13,23,122},{29,1,3048},{4,31,886},{8,24,41},{2,21,890},{26,14,3048},{2,21,890},{11,31,901},{11,31,901},{11,31,901},{11,23,901},{9,28,652},{9,23,38},{9,23,38},{9,18,44},{0,25,705},{3,19,101},{14,25,2},
{14,25,2},{14,25,2},{14,21,2},{24,3,648},{7,25,4},{7,25,4},{7,18,5},{28,9,648},{7,18,5},{31,4,882},{11,31,2},{15,23,18},{11,23,10},{31,4,882},{24,19,882},{11,23,10},{0,21,890},{24,19,882},{0,21,890},{11,0,900},{11,0,900},{11,0,900},{11,0,900},{9,22,4},{9,22,4},{9,22,4},{9,17,5},{2,21,4},{2,21,4},{13,31,2414},{12,31,907},{13,25,1186},
{12,24,898},{11,31,3391},{9,29,1095},{10,24,33},{9,21,1159},{0,31,3276},{3,22,894},{15,31,981},{15,29,90},{15,25,53},{14,24,117},{30,2,3048},{6,31,906},{10,24,29},{3,22,890},{27,15,3048},{3,22,890},{12,31,891},{12,31,891},{12,31,891},{12,24,894},{10,29,652},{10,24,29},{10,24,29},{10,19,44},{0,27,665},{4,20,102},{15,26,2},{15,26,2},{15,26,2},{15,22,2},{22,9,648},
{8,26,1},{8,26,1},{8,19,4},{29,10,648},{8,19,4},{30,8,882},{12,31,17},{16,24,8},{11,24,5},{30,8,882},{28,18,882},{11,24,5},{0,22,890},{28,18,882},{0,22,890},{12,0,890},{12,0,890},{12,0,890},{12,0,890},{10,23,4},{10,23,4},{10,23,4},{10,18,5},{3,22,4},{3,22,4},{15,31,2606},{13,31,987},{14,26,1186},{13,25,898},{13,31,3517},{10,30,1095},{11,25,33},
{10,22,1159},{1,31,3300},{4,23,899},{17,31,1014},{15,31,94},{16,26,56},{15,25,117},{31,3,3048},{8,31,936},{11,25,29},{4,23,890},{23,19,3048},{4,23,890},{13,31,906},{13,31,906},{13,31,906},{13,25,894},{11,30,652},{11,25,29},{11,25,29},{11,20,41},{0,29,651},{6,20,98},{16,27,5},{16,27,5},{16,27,5},{16,23,5},{24,8,648},{9,27,1},{9,27,1},{9,20,1},{30,11,648},
{9,20,1},{31,9,882},{14,31,37},{17,25,8},{12,25,5},{31,9,882},{29,19,882},{12,25,5},{0,23,890},{29,19,882},{0,23,890},{13,0,890},{13,0,890},{13,0,890},{13,0,890},{11,24,4},{11,24,4},{11,24,4},{11,19,5},{3,24,5},{3,24,5},{16,31,2792},{15,31,1079},{15,27,1186},{14,26,898},{14,31,3652},{11,31,1095},{12,26,45},{11,23,1159},{3,31,3436},{4,24,908},{18,31,1080},
{17,31,110},{17,27,56},{16,26,121},{26,14,3048},{10,31,996},{12,26,36},{5,24,901},{22,21,3048},{5,24,901},{14,31,939},{14,31,939},{14,31,939},{14,26,894},{12,31,659},{12,26,41},{12,26,41},{11,21,46},{1,30,651},{7,21,98},{17,28,4},{17,28,4},{17,28,4},{17,24,8},{28,4,648},{10,28,2},{10,28,2},{10,21,1},{29,13,648},{10,21,1},{29,15,882},{16,31,80},{18,26,8},
{13,26,5},{29,15,882},{30,20,882},{13,26,5},{0,24,900},{30,20,882},{0,24,900},{14,0,890},{14,0,890},{14,0,890},{14,0,890},{12,25,10},{12,25,10},{12,25,10},{12,20,13},{4,24,8},{4,24,8},{17,31,3038},{16,31,1268},{16,28,1186},{15,27,910},{15,31,3879},{12,31,1146},{13,27,47},{12,24,1159},{5,31,3667},{6,25,894},{19,31,1205},{18,31,147},{18,28,53},{17,27,122},{30,10,3048},
{12,31,1110},{12,28,41},{6,25,890},{30,18,3048},{6,25,890},{16,31,979},{16,31,979},{16,31,979},{15,27,901},{13,31,670},{13,27,38},{13,27,38},{13,22,44},{2,31,648},{7,23,101},{18,29,2},{18,29,2},{18,29,2},{18,25,2},{31,2,648},{11,29,4},{11,29,4},{11,22,5},{27,16,648},{11,22,5},{29,18,882},{18,31,146},{19,27,18},{15,27,10},{29,18,882},{28,23,882},{15,27,10},
{0,25,890},{28,23,882},{0,25,890},{15,0,900},{15,0,900},{15,0,900},{15,0,900},{13,26,4},{13,26,4},{13,26,4},{13,21,5},{6,25,4},{6,25,4},{18,31,3308},{17,31,1502},{17,29,1186},{16,28,898},{17,31,4077},{14,31,1230},{14,28,33},{13,25,1159},{8,31,3820},{7,26,894},{21,31,1368},{19,31,261},{19,29,53},{18,28,117},{31,11,3048},{14,31,1226},{14,28,29},{7,26,890},{31,19,3048},
{7,26,890},{17,31,1018},{17,31,1018},{17,31,1018},{16,28,894},{14,31,724},{14,28,29},{14,28,29},{14,23,44},{4,31,665},{8,24,102},{19,30,2},{19,30,2},{19,30,2},{19,26,2},{26,13,648},{12,30,1},{12,30,1},{12,23,4},{21,21,648},{12,23,4},{30,19,882},{20,31,193},{20,28,8},{15,28,5},{30,19,882},{27,25,882},{15,28,5},{0,26,890},{27,25,882},{0,26,890},{16,0,890},
{16,0,890},{16,0,890},{16,0,890},{14,27,4},{14,27,4},{14,27,4},{14,22,5},{7,26,4},{7,26,4},{19,31,3614},{18,31,1804},{18,30,1186},{17,29,898},{18,31,4284},{15,31,1417},{15,29,33},{14,26,1159},{9,31,4036},{8,27,899},{22,31,1494},{20,31,405},{20,30,56},{19,29,117},{29,17,3048},{16,31,1395},{15,29,29},{8,27,890},{27,23,3048},{8,27,890},{18,31,1075},{18,31,1075},{18,31,1075},
{17,29,894},{16,31,787},{15,29,29},{15,29,29},{15,24,41},{6,31,705},{10,24,98},{20,31,5},{20,31,5},{20,31,5},{20,27,5},{28,12,648},{13,31,1},{13,31,1},{13,24,1},{22,22,648},{13,24,1},{29,23,882},{22,31,277},{21,29,8},{16,29,5},{29,23,882},{28,26,882},{16,29,5},{0,27,890},{28,26,882},{0,27,890},{17,0,890},{17,0,890},{17,0,890},{17,0,890},{15,28,4},
{15,28,4},{15,28,4},{15,23,5},{7,28,5},{7,28,5},{20,31,4014},{19,31,2174},{19,31,1186},{18,30,898},{19,31,4545},{17,31,1725},{16,30,45},{15,27,1159},{11,31,4300},{8,28,908},{23,31,1656},{22,31,585},{21,31,56},{20,30,121},{30,18,3048},{18,31,1563},{16,30,36},{9,28,901},{26,25,3048},{9,28,901},{19,31,1150},{19,31,1150},{19,31,1150},{18,30,894},{17,31,841},{16,30,41},{16,30,41},
{15,25,46},{8,31,747},{11,25,98},{21,31,20},{21,31,20},{21,31,20},{21,28,8},{29,13,648},{15,31,5},{15,31,5},{14,25,1},{28,20,648},{14,25,1},{30,24,882},{23,31,397},{22,30,8},{17,30,5},{30,24,882},{29,27,882},{17,30,5},{0,28,900},{29,27,882},{0,28,900},{18,0,890},{18,0,890},{18,0,890},{18,0,890},{16,29,10},{16,29,10},{16,29,10},{16,24,13},{8,28,8},
{8,28,8},{22,31,4123},{21,31,2404},{20,31,1278},{19,31,901},{20,31,4626},{18,31,1849},{17,31,38},{16,28,1006},{14,31,4330},{10,29,789},{24,31,1629},{23,31,715},{22,31,65},{22,30,101},{31,19,2814},{20,31,1505},{17,31,34},{10,29,785},{27,26,2814},{10,29,785},{20,31,1278},{20,31,1278},{20,31,1278},{19,31,901},{18,31,948},{17,31,38},{17,31,38},{17,26,44},{10,31,840},{11,27,101},{22,31,65},
{22,31,65},{22,31,65},{22,29,2},{29,16,648},{17,31,34},{17,31,34},{15,26,5},{31,20,648},{15,26,5},{31,25,761},{25,31,425},{23,31,9},{19,31,1},{31,25,761},{28,29,761},{19,31,1},{0,29,785},{28,29,761},{0,29,785},{19,0,900},{19,0,900},{19,0,900},{19,0,900},{17,30,4},{17,30,4},{17,30,4},{17,25,5},{10,29,4},{10,29,4},{23,31,3735},{22,31,2314},{21,31,1395},
{20,31,899},{22,31,4090},{19,31,1618},{18,31,104},{17,29,686},{15,31,3826},{11,29,507},{25,31,1285},{24,31,609},{23,31,122},{23,31,37},{30,22,2249},{21,31,1186},{19,31,74},{13,29,482},{27,27,2249},{13,29,482},{21,31,1395},{21,31,1395},{21,31,1395},{20,31,899},{19,31,1086},{18,31,104},{18,31,104},{18,27,44},{12,31,969},{12,28,102},{23,31,122},{23,31,122},{23,31,122},{23,30,2},{30,17,648},
{19,31,74},{19,31,74},{16,27,4},{25,25,648},{16,27,4},{31,26,481},{27,31,269},{25,31,0},{21,31,0},{31,26,481},{31,28,481},{21,31,0},{0,29,481},{31,28,481},{0,29,481},{20,0,890},{20,0,890},{20,0,890},{20,0,890},{18,31,4},{18,31,4},{18,31,4},{18,26,5},{11,30,4},{11,30,4},{23,31,3399},{23,31,2260},{22,31,1530},{21,31,954},{23,31,3639},{20,31,1402},{19,31,238},
{18,29,405},{17,31,3443},{12,30,314},{26,31,1009},{25,31,525},{25,31,164},{24,31,5},{30,24,1769},{23,31,918},{21,31,113},{14,30,290},{29,27,1769},{14,30,290},{22,31,1530},{22,31,1530},{22,31,1530},{21,31,954},{21,31,1251},{19,31,238},{19,31,238},{19,28,41},{14,31,1105},{14,28,98},{25,31,164},{25,31,164},{25,31,164},{24,31,5},{31,18,648},{21,31,113},{21,31,113},{17,28,1},{26,26,648},
{17,28,1},{30,29,265},{28,31,145},{27,31,4},{24,31,1},{30,29,265},{29,30,265},{24,31,1},{0,30,289},{29,30,265},{0,30,289},{21,0,890},{21,0,890},{21,0,890},{21,0,890},{19,31,13},{19,31,13},{19,31,13},{19,27,5},{12,31,9},{12,31,9},{24,31,3069},{24,31,2257},{23,31,1683},{23,31,1054},{24,31,3258},{22,31,1330},{21,31,378},{19,30,213},{20,31,3102},{14,30,166},{27,31,801},
{26,31,477},{26,31,221},{25,31,20},{31,24,1374},{24,31,758},{23,31,181},{16,30,114},{24,31,1374},{16,30,114},{23,31,1683},{23,31,1683},{23,31,1683},{23,31,1054},{22,31,1401},{21,31,378},{21,31,378},{19,29,46},{16,31,1296},{15,29,98},{26,31,221},{26,31,221},{26,31,221},{25,31,20},{30,22,648},{23,31,181},{23,31,181},{18,29,1},{27,27,648},{18,29,1},{30,30,113},{29,31,61},{28,31,0},
{26,31,1},{30,30,113},{30,30,113},{26,31,1},{0,30,113},{30,30,113},{0,30,113},{22,0,890},{22,0,890},{22,0,890},{22,0,890},{20,31,45},{20,31,45},{20,31,45},{20,28,13},{13,31,25},{13,31,25},{25,31,2860},{25,31,2260},{24,31,1854},{24,31,1210},{25,31,2932},{23,31,1310},{22,31,609},{21,30,108},{21,31,2731},{15,31,101},{28,31,630},{27,31,475},{27,31,306},{26,31,101},{31,26,1032},
{26,31,612},{25,31,290},{18,31,37},{29,29,1032},{18,31,37},{24,31,1854},{24,31,1854},{24,31,1854},{24,31,1210},{23,31,1620},{22,31,609},{22,31,609},{21,30,44},{18,31,1515},{15,31,101},{27,31,306},{27,31,306},{27,31,306},{26,31,101},{30,25,648},{25,31,290},{25,31,290},{19,30,5},{30,27,648},{19,30,5},{31,30,18},{30,31,10},{30,31,1},{29,31,0},{31,30,18},{30,31,18},{29,31,0},
{0,31,36},{30,31,18},{0,31,36},{23,0,900},{23,0,900},{23,0,900},{23,0,900},{21,31,104},{21,31,104},{21,31,104},{21,29,5},{15,31,65},{15,31,65},{26,31,2626},{26,31,2206},{25,31,1915},{25,31,1315},{26,31,2641},{24,31,1333},{23,31,789},{22,31,40},{22,31,2445},{17,31,116},{29,31,524},{28,31,406},{28,31,325},{27,31,170},{30,29,771},{27,31,507},{26,31,320},{20,31,0},{29,30,771},
{20,31,0},{25,31,1915},{25,31,1915},{25,31,1915},{25,31,1315},{24,31,1661},{23,31,789},{23,31,789},{22,31,40},{20,31,1517},{17,31,116},{28,31,325},{28,31,325},{28,31,325},{27,31,170},{31,26,580},{26,31,320},{26,31,320},{20,31,0},{30,28,580},{20,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{24,0,890},
{24,0,890},{24,0,890},{24,0,890},{23,31,164},{23,31,164},{23,31,164},{22,30,5},{17,31,116},{17,31,116},{27,31,2156},{27,31,1884},{26,31,1630},{26,31,1210},{26,31,2081},{25,31,1108},{24,31,705},{23,31,5},{23,31,1927},{19,31,180},{29,31,300},{29,31,236},{29,31,200},{28,31,85},{31,28,451},{28,31,283},{27,31,194},{23,31,1},{28,31,451},{23,31,1},{26,31,1630},{26,31,1630},{26,31,1630},
{26,31,1210},{25,31,1347},{24,31,705},{24,31,705},{23,31,5},{22,31,1229},{19,31,180},{29,31,200},{29,31,200},{29,31,200},{28,31,85},{31,27,338},{27,31,194},{27,31,194},{23,31,1},{30,29,338},{23,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{25,0,890},{25,0,890},{25,0,890},{25,0,890},{24,31,221},
{24,31,221},{24,31,221},{23,31,5},{19,31,180},{19,31,180},{28,31,1782},{27,31,1564},{27,31,1395},{27,31,1123},{27,31,1620},{26,31,937},{25,31,651},{24,31,25},{24,31,1560},{21,31,233},{30,31,150},{30,31,134},{29,31,104},{29,31,40},{31,29,216},{29,31,136},{28,31,90},{25,31,1},{29,31,216},{25,31,1},{27,31,1395},{27,31,1395},{27,31,1395},{27,31,1123},{26,31,1101},{25,31,651},{25,31,651},
{24,31,25},{23,31,998},{21,31,233},{29,31,104},{29,31,104},{29,31,104},{29,31,40},{31,28,162},{28,31,90},{28,31,90},{25,31,1},{28,31,162},{25,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{26,0,890},{26,0,890},{26,0,890},{26,0,890},{25,31,290},{25,31,290},{25,31,290},{24,31,25},{21,31,233},
{21,31,233},{0,17,1568},{0,14,442},{0,10,40},{0,8,485},{0,11,3379},{0,9,2369},{0,8,1061},{0,5,2435},{0,6,3760},{0,5,2660},{0,17,1568},{0,14,442},{0,10,40},{0,8,485},{7,0,3371},{0,9,2369},{0,8,1061},{0,5,2435},{10,1,3371},{0,5,2435},{0,8,0},{0,8,0},{0,8,0},{0,5,1},{0,4,288},{0,4,160},{0,4,160},{0,2,164},{0,2,332},{0,2,200},{0,8,0},
{0,8,0},{0,8,0},{0,5,1},{0,4,288},{0,4,160},{0,4,160},{0,2,164},{4,0,288},{0,2,164},{9,2,1568},{0,14,442},{0,10,40},{0,8,485},{9,2,1568},{17,0,1568},{0,8,485},{0,6,1586},{17,0,1568},{0,6,1586},{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},{0,20,1570},{0,16,325},{0,11,5},
{0,9,392},{0,13,3968},{0,10,2630},{0,9,1121},{0,6,2710},{0,7,4484},{0,6,3034},{0,20,1570},{0,16,325},{0,11,5},{0,9,392},{2,10,3968},{0,10,2630},{0,9,1121},{0,6,2710},{13,0,3968},{0,6,2710},{0,11,1},{0,11,1},{0,11,1},{0,6,4},{0,5,514},{0,5,274},{0,5,274},{0,3,289},{0,3,595},{0,3,370},{0,11,1},{0,11,1},{0,11,1},{0,6,4},{2,2,512},
{0,5,274},{0,5,274},{0,3,289},{2,2,512},{0,3,289},{10,3,1568},{0,16,325},{0,11,5},{0,9,392},{10,3,1568},{18,1,1568},{0,9,392},{0,7,1586},{18,1,1568},{0,7,1586},{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},{0,22,1570},{0,17,225},{0,12,18},{0,11,292},{0,15,4652},{0,11,2945},{0,10,1217},
{0,7,3035},{0,8,5283},{0,7,3476},{0,22,1570},{0,17,225},{0,12,18},{0,11,292},{4,8,4651},{0,11,2945},{0,10,1217},{0,7,3035},{13,1,4651},{0,7,3035},{0,13,0},{0,13,0},{0,13,0},{0,8,1},{0,7,802},{0,6,424},{0,6,424},{0,4,449},{0,3,931},{0,3,562},{0,13,0},{0,13,0},{0,13,0},{0,8,1},{4,0,800},{0,6,424},{0,6,424},{0,4,449},{5,1,800},
{0,4,449},{11,4,1568},{0,17,225},{1,12,13},{0,11,292},{11,4,1568},{19,2,1568},{0,11,292},{0,8,1576},{19,2,1568},{0,8,1576},{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},{0,25,1570},{0,19,149},{0,13,73},{0,12,194},{0,17,5424},{0,13,3368},{0,11,1349},{0,8,3449},{0,9,6213},{0,7,3956},{0,25,1570},
{0,19,149},{0,13,73},{0,12,194},{10,0,5419},{0,13,3368},{0,11,1349},{0,8,3449},{15,1,5419},{0,8,3449},{0,16,1},{0,16,1},{0,16,1},{0,9,4},{0,8,1152},{0,7,610},{0,7,610},{0,4,625},{0,4,1328},{0,4,769},{0,16,1},{0,16,1},{0,16,1},{0,9,4},{3,3,1152},{0,7,610},{0,7,610},{0,4,625},{8,0,1152},{0,4,625},{15,0,1568},{0,19,149},{2,13,13},
{0,12,194},{15,0,1568},{20,3,1568},{0,12,194},{0,9,1576},{20,3,1568},{0,9,1576},{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},{1,26,1633},{0,21,155},{1,14,150},{0,13,198},{0,20,5424},{0,15,3099},{0,12,996},{0,9,3179},{0,10,6544},{0,8,3890},{1,26,1569},{1,20,131},{2,14,69},{1,13,181},{10,3,5419},
{0,15,3099},{0,12,996},{0,9,3179},{18,1,5419},{0,9,3179},{1,17,65},{1,17,65},{1,17,65},{1,11,69},{0,11,1152},{0,9,445},{0,9,445},{0,6,505},{0,6,1494},{0,5,737},{1,17,1},{1,17,1},{1,17,1},{1,11,5},{6,1,1152},{0,9,445},{0,9,445},{0,6,505},{11,0,1152},{0,6,505},{16,1,1568},{0,21,74},{3,14,5},{0,13,117},{16,1,1568},{26,1,1568},{0,13,117},
{0,10,1586},{26,1,1568},{0,10,1586},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,3,0},{0,3,0},{0,3,0},{0,2,1},{0,1,25},{0,1,25},{1,29,1715},{1,22,219},{2,15,342},{1,14,262},{0,22,5420},{0,16,2834},{0,13,726},{0,10,2966},{0,11,6916},{0,9,3860},{2,27,1569},{2,21,131},{3,15,69},{2,14,181},{11,4,5419},{0,16,2834},{0,13,726},{0,10,2966},{19,2,5419},
{0,10,2966},{1,20,146},{1,20,146},{1,20,146},{1,12,146},{0,13,1154},{0,11,337},{0,11,337},{0,7,388},{0,7,1665},{0,6,749},{2,18,1},{2,18,1},{2,18,1},{2,12,5},{8,0,1152},{0,11,337},{0,11,337},{0,7,388},{5,5,1152},{0,7,388},{17,2,1568},{0,23,34},{4,15,5},{0,14,72},{17,2,1568},{27,2,1568},{0,14,72},{0,11,1586},{27,2,1568},{0,11,1586},{1,0,145},
{1,0,145},{1,0,145},{1,0,145},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,2,85},{0,2,85},{2,30,1907},{1,24,398},{2,16,542},{1,15,425},{0,25,5424},{0,18,2630},{0,15,486},{0,11,2771},{0,13,7299},{0,11,3860},{3,28,1569},{3,22,131},{4,16,82},{3,15,181},{15,0,5419},{0,18,2630},{0,15,486},{0,11,2771},{20,3,5419},{0,11,2771},{2,21,338},{2,21,338},{2,21,338},
{2,13,338},{0,16,1152},{0,13,274},{0,13,274},{0,8,305},{0,8,1856},{0,7,797},{3,19,1},{3,19,1},{3,19,1},{3,13,5},{9,1,1152},{0,13,274},{0,13,274},{0,8,305},{16,0,1152},{0,8,305},{18,3,1568},{0,25,17},{5,16,13},{0,15,45},{18,3,1568},{28,3,1568},{0,15,45},{0,12,1576},{28,3,1568},{0,12,1576},{2,0,337},{2,0,337},{2,0,337},{2,0,337},{0,8,1},
{0,8,1},{0,8,1},{0,5,0},{0,4,169},{0,4,169},{2,31,2145},{2,25,590},{3,17,862},{2,16,619},{0,27,5420},{0,20,2424},{0,16,282},{0,12,2552},{0,15,7711},{0,11,3908},{4,29,1570},{4,23,149},{4,17,73},{4,16,194},{14,4,5419},{0,20,2424},{0,16,282},{0,12,2552},{24,2,5419},{0,12,2552},{2,23,546},{2,23,546},{2,23,546},{2,15,546},{0,19,1154},{0,15,194},{0,15,194},
{0,9,218},{0,9,2123},{0,8,865},{4,20,1},{4,20,1},{4,20,1},{4,13,4},{10,2,1152},{0,15,194},{0,15,194},{0,9,218},{17,1,1152},{0,9,218},{20,2,1568},{0,27,5},{6,17,13},{0,16,26},{20,2,1568},{24,7,1568},{0,16,26},{0,13,1576},{24,7,1568},{0,13,1576},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,289},
{0,5,289},{3,31,2596},{3,26,941},{3,19,1289},{3,17,972},{0,30,5420},{0,22,2243},{0,17,145},{0,13,2386},{0,16,8161},{0,13,3986},{5,30,1569},{5,24,131},{6,18,69},{5,17,181},{17,2,5419},{0,22,2243},{0,17,145},{0,13,2386},{27,2,5419},{0,13,2386},{3,24,901},{3,24,901},{3,24,901},{3,16,901},{0,22,1154},{0,17,109},{0,17,109},{0,10,145},{0,11,2441},{0,9,1001},{5,21,1},
{5,21,1},{5,21,1},{5,15,5},{13,0,1152},{0,17,109},{0,17,109},{0,10,145},{20,1,1152},{0,10,145},{23,0,1568},{1,28,2},{7,18,5},{0,18,8},{23,0,1568},{30,5,1568},{0,18,8},{0,14,1586},{30,5,1568},{0,14,1586},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{0,14,1},{0,14,1},{0,14,1},{0,8,1},{0,6,468},{0,6,468},{4,31,3146},{3,28,1262},{4,19,1743},
{3,18,1297},{1,31,5484},{0,23,2096},{0,19,69},{0,14,2251},{0,18,8669},{0,14,4100},{6,31,1569},{6,25,131},{7,19,69},{6,18,181},{18,3,5419},{0,23,2096},{0,19,69},{0,14,2251},{28,3,5419},{0,14,2251},{3,27,1252},{3,27,1252},{3,27,1252},{3,17,1256},{0,24,1152},{0,18,61},{0,18,61},{0,11,100},{0,12,2859},{0,10,1157},{6,22,1},{6,22,1},{6,22,1},{6,16,5},{14,1,1152},
{0,18,61},{0,18,61},{0,11,100},{24,0,1152},{0,11,100},{24,1,1568},{2,29,2},{8,19,5},{0,19,5},{24,1,1568},{31,6,1568},{0,19,5},{0,15,1586},{31,6,1568},{0,15,1586},{3,0,1252},{3,0,1252},{3,0,1252},{3,0,1252},{0,16,1},{0,16,1},{0,16,1},{0,10,1},{0,8,657},{0,8,657},{5,31,3716},{4,29,1603},{4,21,2148},{4,19,1631},{2,31,5655},{0,25,2005},{0,20,31},
{0,15,2138},{0,19,8963},{0,15,4070},{7,31,1587},{7,26,131},{8,20,82},{7,19,181},{20,2,5419},{0,25,2001},{0,20,27},{0,15,2134},{24,7,5419},{0,15,2134},{4,28,1587},{4,28,1587},{4,28,1587},{4,18,1590},{0,27,1158},{0,20,22},{0,20,22},{0,12,62},{0,14,3075},{0,11,1221},{7,23,1},{7,23,1},{7,23,1},{7,17,5},{16,0,1152},{0,20,18},{0,20,18},{0,12,58},{25,1,1152},
{0,12,58},{25,2,1568},{3,30,2},{9,20,13},{1,20,9},{25,2,1568},{27,10,1568},{1,20,9},{0,16,1576},{27,10,1568},{0,16,1576},{4,0,1586},{4,0,1586},{4,0,1586},{4,0,1586},{0,19,4},{0,19,4},{0,19,4},{0,11,8},{0,9,769},{0,9,769},{6,31,3890},{5,30,1603},{5,22,2148},{5,20,1627},{3,31,5748},{0,27,1989},{1,21,31},{0,17,2117},{0,21,8560},{0,16,3545},{9,31,1634},
{8,27,149},{8,21,73},{8,20,194},{21,3,5419},{0,27,1889},{1,21,27},{0,17,2017},{28,6,5419},{0,17,2017},{5,29,1587},{5,29,1587},{5,29,1587},{5,19,1590},{1,28,1158},{1,21,22},{1,21,22},{1,13,62},{0,16,2801},{0,13,949},{8,24,1},{8,24,1},{8,24,1},{8,17,4},{17,1,1152},{0,22,2},{0,22,2},{0,14,26},{26,2,1152},{0,14,26},{26,3,1568},{4,31,5},{10,21,13},
{2,21,9},{26,3,1568},{28,11,1568},{2,21,9},{0,17,1576},{28,11,1568},{0,17,1576},{5,0,1586},{5,0,1586},{5,0,1586},{5,0,1586},{1,20,4},{1,20,4},{1,20,4},{1,12,8},{0,10,625},{0,10,625},{7,31,4136},{6,31,1589},{7,23,2157},{6,21,1621},{4,31,5895},{1,28,1977},{2,22,33},{1,18,2107},{0,23,8196},{0,17,3043},{10,31,1667},{9,28,131},{10,22,69},{9,21,181},{24,1,5419},
{0,29,1772},{2,22,24},{0,18,1875},{31,6,5419},{0,18,1875},{6,30,1576},{6,30,1576},{6,30,1576},{6,20,1580},{2,29,1161},{2,22,29},{2,22,29},{2,15,58},{0,17,2529},{0,14,656},{9,25,1},{9,25,1},{9,25,1},{9,19,5},{17,4,1152},{0,24,1},{0,24,1},{0,15,1},{29,2,1152},{0,15,1},{27,4,1568},{6,31,13},{11,22,5},{3,22,5},{27,4,1568},{31,11,1568},{3,22,5},
{0,18,1586},{31,11,1568},{0,18,1586},{6,0,1576},{6,0,1576},{6,0,1576},{6,0,1576},{2,21,10},{2,21,10},{2,21,10},{2,14,13},{0,12,520},{0,12,520},{8,31,4436},{7,31,1625},{8,23,2175},{7,22,1621},{6,31,6079},{3,28,1973},{3,23,33},{2,19,2107},{0,24,7969},{0,18,2675},{11,31,1745},{10,29,131},{11,23,69},{10,22,181},{25,2,5419},{0,30,1699},{3,23,24},{0,19,1782},{27,10,5419},
{0,19,1782},{7,31,1576},{7,31,1576},{7,31,1576},{7,21,1580},{3,30,1161},{3,23,29},{3,23,29},{3,16,74},{0,19,2313},{0,15,474},{10,26,1},{10,26,1},{10,26,1},{10,20,5},{18,5,1152},{1,25,1},{1,25,1},{0,16,2},{30,3,1152},{0,16,2},{31,0,1568},{8,31,34},{12,23,5},{4,23,5},{31,0,1568},{30,13,1568},{4,23,5},{0,19,1586},{30,13,1568},{0,19,1586},{7,0,1576},
{7,0,1576},{7,0,1576},{7,0,1576},{3,22,10},{3,22,10},{3,22,10},{3,15,13},{0,14,400},{0,14,400},{9,31,4730},{8,31,1716},{8,25,2148},{8,23,1631},{7,31,6244},{3,30,1977},{4,24,31},{4,19,2138},{0,26,7669},{0,19,2375},{12,31,1832},{11,30,131},{12,24,82},{11,23,181},{26,3,5419},{1,31,1699},{4,24,27},{0,20,1720},{28,11,5419},{0,20,1720},{8,31,1595},{8,31,1595},{8,31,1595},
{8,22,1590},{4,31,1158},{4,24,22},{4,24,22},{4,16,62},{0,21,2091},{0,17,306},{11,27,1},{11,27,1},{11,27,1},{11,21,5},{20,4,1152},{2,26,1},{2,26,1},{1,17,2},{29,5,1152},{1,17,2},{29,6,1568},{9,31,68},{13,24,13},{5,24,9},{29,6,1568},{31,14,1568},{5,24,9},{0,20,1576},{31,14,1568},{0,20,1576},{8,0,1586},{8,0,1586},{8,0,1586},{8,0,1586},{4,23,4},
{4,23,4},{4,23,4},{4,15,8},{0,16,277},{0,16,277},{11,31,5010},{9,31,1878},{9,26,2148},{9,24,1627},{8,31,6508},{4,31,1989},{5,25,31},{4,21,2117},{0,28,7364},{0,21,2098},{14,31,1952},{12,31,149},{12,25,73},{12,24,194},{28,2,5419},{3,31,1787},{5,25,27},{0,21,1657},{27,13,5419},{0,21,1657},{9,31,1622},{9,31,1622},{9,31,1622},{9,23,1590},{5,31,1164},{5,25,22},{5,25,22},
{5,17,62},{0,22,1928},{0,18,194},{12,28,1},{12,28,1},{12,28,1},{12,21,4},{24,0,1152},{3,27,1},{3,27,1},{2,18,2},{30,6,1152},{2,18,2},{30,7,1568},{11,31,116},{14,25,13},{6,25,9},{30,7,1568},{30,16,1568},{6,25,9},{0,21,1576},{30,16,1568},{0,21,1576},{9,0,1586},{9,0,1586},{9,0,1586},{9,0,1586},{5,24,4},{5,24,4},{5,24,4},{5,16,8},{0,18,193},
{0,18,193},{12,31,5316},{11,31,2154},{11,27,2157},{10,25,1621},{10,31,6800},{6,31,1999},{6,26,33},{5,22,2107},{0,29,7068},{0,22,1836},{15,31,2081},{13,31,206},{14,26,69},{13,25,181},{31,0,5419},{5,31,1937},{6,26,24},{0,22,1611},{30,13,5419},{0,22,1611},{10,31,1676},{10,31,1676},{10,31,1676},{10,24,1580},{7,31,1179},{6,26,29},{6,26,29},{6,19,58},{0,24,1798},{0,19,157},{13,29,1},
{13,29,1},{13,29,1},{13,23,5},{24,3,1152},{4,28,1},{4,28,1},{4,19,1},{28,9,1152},{4,19,1},{31,8,1568},{13,31,205},{15,26,5},{7,26,5},{31,8,1568},{28,19,1568},{7,26,5},{0,22,1586},{28,19,1568},{0,22,1586},{10,0,1576},{10,0,1576},{10,0,1576},{10,0,1576},{6,25,10},{6,25,10},{6,25,10},{6,18,13},{0,20,106},{0,20,106},{13,31,5658},{12,31,2435},{12,27,2175},
{11,26,1621},{11,31,7055},{7,31,2090},{7,27,33},{6,23,2107},{0,31,6820},{0,23,1690},{16,31,2216},{14,31,334},{15,27,69},{14,26,181},{29,6,5419},{7,31,2081},{7,27,24},{0,23,1590},{31,14,5419},{0,23,1590},{11,31,1745},{11,31,1745},{11,31,1745},{11,25,1580},{8,31,1220},{7,27,29},{7,27,29},{7,20,74},{0,26,1650},{1,20,137},{14,30,1},{14,30,1},{14,30,1},{14,24,5},{22,9,1152},
{5,29,1},{5,29,1},{4,20,2},{29,10,1152},{4,20,2},{29,14,1568},{15,31,289},{16,27,5},{8,27,5},{29,14,1568},{29,20,1568},{8,27,5},{0,23,1586},{29,20,1568},{0,23,1586},{11,0,1576},{11,0,1576},{11,0,1576},{11,0,1576},{7,26,10},{7,26,10},{7,26,10},{7,19,13},{0,22,58},{0,22,58},{14,31,6036},{13,31,2751},{12,29,2148},{12,27,1631},{12,31,7316},{8,31,2228},{8,28,31},
{8,23,2138},{0,31,6884},{0,24,1613},{17,31,2402},{16,31,500},{16,28,82},{15,27,181},{30,7,5419},{9,31,2195},{8,28,27},{0,24,1577},{30,16,5419},{0,24,1577},{12,31,1811},{12,31,1811},{12,31,1811},{12,26,1590},{9,31,1286},{8,28,22},{8,28,22},{8,20,62},{0,28,1508},{2,21,137},{15,31,1},{15,31,1},{15,31,1},{15,25,5},{24,8,1152},{6,30,1},{6,30,1},{5,21,2},{30,11,1152},
{5,21,2},{30,15,1568},{17,31,410},{17,28,13},{9,28,9},{30,15,1568},{30,21,1568},{9,28,9},{0,24,1576},{30,21,1568},{0,24,1576},{12,0,1586},{12,0,1586},{12,0,1586},{12,0,1586},{8,27,4},{8,27,4},{8,27,4},{8,19,8},{0,24,37},{0,24,37},{15,31,6450},{14,31,3135},{13,30,2148},{13,28,1627},{13,31,7661},{10,31,2448},{9,29,31},{8,25,2117},{2,31,7196},{0,25,1593},{19,31,2594},
{17,31,698},{16,29,73},{16,28,194},{29,11,5419},{11,31,2379},{9,29,27},{1,25,1577},{31,17,5419},{1,25,1577},{13,31,1910},{13,31,1910},{13,31,1910},{13,27,1590},{10,31,1388},{9,29,22},{9,29,22},{9,21,62},{0,30,1416},{3,22,137},{16,31,4},{16,31,4},{16,31,4},{16,25,4},{28,4,1152},{7,31,1},{7,31,1},{6,22,2},{29,13,1152},{6,22,2},{31,16,1568},{19,31,530},{18,29,13},
{10,29,9},{31,16,1568},{31,22,1568},{10,29,9},{0,25,1576},{31,22,1568},{0,25,1576},{13,0,1586},{13,0,1586},{13,0,1586},{13,0,1586},{9,28,4},{9,28,4},{9,28,4},{9,20,8},{0,25,17},{0,25,17},{16,31,6900},{15,31,3657},{15,31,2157},{14,29,1621},{15,31,8023},{11,31,2845},{10,30,33},{9,26,2107},{5,31,7651},{1,26,1611},{20,31,2866},{18,31,1011},{18,30,69},{17,29,181},{29,14,5419},
{13,31,2657},{10,30,24},{3,26,1587},{29,20,5419},{3,26,1587},{15,31,2057},{15,31,2057},{15,31,2057},{14,28,1580},{12,31,1476},{10,30,29},{10,30,29},{10,23,58},{0,31,1324},{4,23,157},{17,31,37},{17,31,37},{17,31,37},{17,27,5},{31,2,1152},{9,31,4},{9,31,4},{8,23,1},{27,16,1152},{8,23,1},{31,19,1568},{21,31,637},{19,30,5},{11,30,5},{31,19,1568},{27,26,1568},{11,30,5},
{0,26,1586},{27,26,1568},{0,26,1586},{14,0,1576},{14,0,1576},{14,0,1576},{14,0,1576},{10,29,10},{10,29,10},{10,29,10},{10,22,13},{1,27,9},{1,27,9},{18,31,7332},{16,31,4196},{16,31,2175},{15,30,1621},{16,31,8348},{13,31,3285},{11,31,33},{10,27,2107},{8,31,8004},{2,27,1611},{21,31,3112},{20,31,1281},{19,31,69},{18,30,181},{30,15,5419},{15,31,2897},{11,31,24},{3,27,1590},{30,21,5419},
{3,27,1590},{16,31,2171},{16,31,2171},{16,31,2171},{15,29,1580},{13,31,1590},{11,31,29},{11,31,29},{11,24,74},{2,31,1424},{5,24,137},{19,31,65},{19,31,65},{19,31,65},{18,28,5},{26,13,1152},{11,31,20},{11,31,20},{8,24,2},{21,21,1152},{8,24,2},{30,23,1568},{23,31,785},{20,31,5},{12,31,5},{30,23,1568},{28,27,1568},{12,31,5},{0,27,1586},{28,27,1568},{0,27,1586},{15,0,1576},
{15,0,1576},{15,0,1576},{15,0,1576},{11,30,10},{11,30,10},{11,30,10},{11,23,13},{1,28,8},{1,28,8},{19,31,7014},{17,31,4230},{17,31,2294},{16,31,1595},{17,31,7865},{14,31,3114},{12,31,85},{12,27,1706},{8,31,7436},{3,28,1268},{22,31,2794},{21,31,1221},{20,31,113},{19,30,114},{30,17,4803},{17,31,2648},{13,31,61},{4,28,1253},{25,25,4803},{4,28,1253},{17,31,2294},{17,31,2294},{17,31,2294},
{16,30,1590},{14,31,1740},{12,31,85},{12,31,85},{12,24,62},{3,31,1571},{6,25,137},{20,31,113},{20,31,113},{20,31,113},{19,29,5},{28,12,1152},{13,31,61},{13,31,61},{9,25,2},{22,22,1152},{9,25,2},{31,23,1250},{24,31,680},{21,31,4},{15,31,0},{31,23,1250},{23,31,1250},{15,31,0},{0,28,1252},{23,31,1250},{0,28,1252},{16,0,1586},{16,0,1586},{16,0,1586},{16,0,1586},{12,31,4},
{12,31,4},{12,31,4},{12,23,8},{2,29,8},{2,29,8},{19,31,6534},{18,31,4116},{18,31,2435},{17,31,1590},{18,31,7164},{15,31,2809},{14,31,161},{12,28,1256},{10,31,6748},{5,28,945},{23,31,2340},{22,31,1065},{21,31,164},{20,31,64},{31,17,4056},{18,31,2211},{15,31,113},{7,28,900},{25,26,4056},{7,28,900},{18,31,2435},{18,31,2435},{18,31,2435},{17,31,1590},{16,31,1923},{14,31,161},{14,31,161},
{13,25,62},{6,31,1729},{7,26,137},{21,31,164},{21,31,164},{21,31,164},{20,29,4},{29,13,1152},{15,31,113},{15,31,113},{10,26,2},{28,20,1152},{10,26,2},{30,26,882},{25,31,482},{23,31,0},{18,31,1},{30,26,882},{31,27,882},{18,31,1},{0,28,900},{31,27,882},{0,28,900},{17,0,1586},{17,0,1586},{17,0,1586},{17,0,1586},{13,31,13},{13,31,13},{13,31,13},{13,24,8},{3,30,8},
{3,30,8},{21,31,6091},{20,31,4022},{19,31,2609},{18,31,1640},{19,31,6490},{16,31,2617},{15,31,318},{14,28,835},{11,31,6135},{6,29,598},{24,31,1881},{23,31,931},{22,31,245},{21,31,5},{31,19,3318},{20,31,1733},{17,31,202},{8,29,545},{27,26,3318},{8,29,545},{19,31,2609},{19,31,2609},{19,31,2609},{18,31,1640},{17,31,2086},{15,31,318},{15,31,318},{14,27,58},{8,31,1868},{8,27,157},{22,31,245},
{22,31,245},{22,31,245},{21,31,5},{29,16,1152},{17,31,202},{17,31,202},{12,27,1},{31,20,1152},{12,27,1},{31,26,545},{26,31,305},{25,31,4},{20,31,1},{31,26,545},{29,29,545},{20,31,1},{0,29,545},{29,29,545},{0,29,545},{18,0,1576},{18,0,1576},{18,0,1576},{18,0,1576},{15,31,29},{15,31,29},{15,31,29},{14,26,13},{5,31,9},{5,31,9},{22,31,5719},{21,31,3980},{20,31,2834},
{19,31,1745},{20,31,6050},{18,31,2457},{16,31,536},{15,29,515},{14,31,5674},{7,30,406},{25,31,1573},{24,31,861},{23,31,338},{22,31,10},{30,22,2753},{21,31,1438},{19,31,290},{11,29,338},{27,27,2753},{11,29,338},{20,31,2834},{20,31,2834},{20,31,2834},{19,31,1745},{18,31,2284},{16,31,536},{16,31,536},{15,28,74},{10,31,2064},{9,28,137},{23,31,338},{23,31,338},{23,31,338},{22,31,10},{30,17,1152},
{19,31,290},{19,31,290},{12,28,2},{25,25,1152},{12,28,2},{31,27,313},{28,31,181},{26,31,1},{23,31,0},{31,27,313},{30,29,313},{23,31,0},{0,29,337},{30,29,313},{0,29,337},{19,0,1576},{19,0,1576},{19,0,1576},{19,0,1576},{16,31,52},{16,31,52},{16,31,52},{15,27,13},{6,31,25},{6,31,25},{22,31,5399},{22,31,3974},{21,31,3035},{20,31,1875},{21,31,5619},{19,31,2378},{18,31,776},
{16,30,318},{15,31,5258},{9,30,225},{26,31,1333},{25,31,813},{24,31,425},{23,31,65},{30,24,2273},{23,31,1218},{20,31,353},{12,30,146},{29,27,2273},{12,30,146},{21,31,3035},{21,31,3035},{21,31,3035},{20,31,1875},{19,31,2518},{18,31,776},{18,31,776},{16,28,62},{11,31,2323},{10,29,137},{24,31,425},{24,31,425},{24,31,425},{23,31,65},{31,18,1152},{20,31,353},{20,31,353},{13,29,2},{26,26,1152},
{13,29,2},{31,28,145},{28,31,85},{28,31,4},{26,31,1},{31,28,145},{30,30,145},{26,31,1},{0,30,145},{30,30,145},{0,30,145},{20,0,1586},{20,0,1586},{20,0,1586},{20,0,1586},{17,31,85},{17,31,85},{17,31,85},{16,27,8},{8,31,40},{8,31,40},{23,31,5143},{23,31,4004},{22,31,3254},{21,31,2070},{22,31,5274},{20,31,2310},{19,31,1062},{17,30,133},{17,31,5011},{10,31,161},{27,31,1161},
{26,31,801},{26,31,545},{25,31,164},{31,24,1878},{24,31,1094},{22,31,461},{14,30,66},{24,31,1878},{14,30,66},{22,31,3254},{22,31,3254},{22,31,3254},{21,31,2070},{20,31,2833},{19,31,1062},{19,31,1062},{17,29,62},{14,31,2577},{11,30,137},{26,31,545},{26,31,545},{26,31,545},{25,31,164},{30,22,1152},{22,31,461},{22,31,461},{14,30,2},{27,27,1152},{14,30,2},{30,31,41},{30,31,25},{29,31,1},
{28,31,0},{30,31,41},{31,30,41},{28,31,0},{0,30,65},{31,30,41},{0,30,65},{21,0,1586},{21,0,1586},{21,0,1586},{21,0,1586},{18,31,136},{18,31,136},{18,31,136},{17,28,8},{10,31,80},{10,31,80},{24,31,4882},{24,31,4070},{23,31,3532},{22,31,2360},{24,31,4945},{21,31,2422},{20,31,1433},{18,31,58},{20,31,4717},{12,31,157},{28,31,1026},{27,31,835},{27,31,666},{26,31,305},{31,26,1536},
{26,31,996},{24,31,628},{16,31,1},{29,29,1536},{16,31,1},{23,31,3532},{23,31,3532},{23,31,3532},{22,31,2360},{22,31,3110},{20,31,1433},{20,31,1433},{18,31,58},{16,31,2939},{12,31,157},{27,31,666},{27,31,666},{27,31,666},{26,31,305},{30,25,1152},{24,31,628},{24,31,628},{16,31,1},{30,27,1152},{16,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{22,0,1576},{22,0,1576},{22,0,1576},{22,0,1576},{19,31,221},{19,31,221},{19,31,221},{18,30,13},{12,31,157},{12,31,157},{25,31,4212},{24,31,3590},{24,31,3106},{23,31,2201},{24,31,4129},{22,31,2101},{21,31,1301},{19,31,13},{20,31,3869},{14,31,233},{28,31,706},{28,31,562},{28,31,481},{27,31,218},{31,27,1067},{27,31,699},{25,31,442},{18,31,1},{30,29,1067},
{18,31,1},{24,31,3106},{24,31,3106},{24,31,3106},{23,31,2201},{23,31,2668},{21,31,1301},{21,31,1301},{19,31,13},{18,31,2523},{14,31,233},{28,31,481},{28,31,481},{28,31,481},{27,31,218},{31,25,802},{25,31,442},{25,31,442},{18,31,1},{31,27,802},{18,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{23,0,1576},
{23,0,1576},{23,0,1576},{23,0,1576},{20,31,325},{20,31,325},{20,31,325},{19,31,13},{14,31,233},{14,31,233},{26,31,3642},{25,31,3132},{25,31,2771},{24,31,2070},{25,31,3444},{23,31,1834},{22,31,1205},{20,31,8},{21,31,3219},{16,31,346},{29,31,456},{28,31,370},{28,31,289},{28,31,145},{30,29,683},{28,31,451},{27,31,290},{21,31,1},{29,30,683},{21,31,1},{25,31,2771},{25,31,2771},{25,31,2771},
{24,31,2070},{24,31,2273},{22,31,1205},{22,31,1205},{20,31,8},{20,31,2121},{16,31,346},{28,31,289},{28,31,289},{28,31,289},{28,31,145},{31,26,512},{27,31,290},{27,31,290},{21,31,1},{29,29,512},{21,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{24,0,1586},{24,0,1586},{24,0,1586},{24,0,1586},{22,31,421},
{22,31,421},{22,31,421},{20,31,8},{16,31,346},{16,31,346},{26,31,3162},{26,31,2742},{26,31,2486},{25,31,1947},{26,31,2877},{24,31,1641},{23,31,1145},{22,31,52},{22,31,2673},{18,31,458},{29,31,264},{29,31,200},{29,31,164},{28,31,81},{30,30,384},{28,31,243},{28,31,162},{23,31,1},{30,30,384},{23,31,1},{26,31,2486},{26,31,2486},{26,31,2486},{25,31,1947},{24,31,1969},{23,31,1145},{23,31,1145},
{22,31,52},{20,31,1785},{18,31,458},{29,31,164},{29,31,164},{29,31,164},{28,31,81},{31,27,290},{28,31,162},{28,31,162},{23,31,1},{30,29,290},{23,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{25,0,1586},{25,0,1586},{25,0,1586},{25,0,1586},{23,31,520},{23,31,520},{23,31,520},{22,31,52},{18,31,458},
{18,31,458},{0,23,2665},{0,18,680},{0,13,50},{0,11,785},{0,15,5885},{0,11,4118},{0,10,1800},{0,7,4202},{0,8,6546},{0,7,4643},{0,23,2665},{0,18,680},{0,13,50},{0,11,785},{9,0,5885},{0,11,4118},{0,10,1800},{0,7,4202},{15,0,5885},{0,7,4202},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,549},{0,5,289},{0,5,289},{0,3,306},{0,3,630},{0,3,387},{0,11,0},
{0,11,0},{0,11,0},{0,7,4},{2,2,545},{0,5,289},{0,5,289},{0,3,306},{4,1,545},{0,3,306},{13,1,2665},{0,18,680},{0,13,50},{0,11,785},{13,1,2665},{23,0,2665},{0,11,785},{0,8,2689},{23,0,2665},{0,8,2689},{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},{0,25,2665},{0,20,521},{0,14,5},
{0,12,625},{0,17,6669},{0,13,4529},{0,11,1890},{0,8,4610},{0,9,7494},{0,7,5171},{0,25,2665},{0,20,521},{0,14,5},{0,12,625},{9,2,6669},{0,13,4529},{0,11,1890},{0,8,4610},{17,0,6669},{0,8,4610},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,7,841},{0,6,445},{0,6,445},{0,4,464},{0,3,982},{0,3,595},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{4,0,841},
{0,6,445},{0,6,445},{0,4,464},{7,0,841},{0,4,464},{14,2,2665},{0,20,521},{0,14,5},{0,12,625},{14,2,2665},{25,0,2665},{0,12,625},{0,9,2689},{25,0,2665},{0,9,2689},{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},{0,28,2665},{0,22,405},{0,15,10},{0,13,514},{0,19,7541},{0,14,4934},{0,12,2042},
{0,9,5045},{0,10,8546},{0,8,5682},{0,28,2665},{0,22,405},{0,15,10},{0,13,514},{10,2,7538},{0,14,4934},{0,12,2042},{0,9,5045},{17,1,7538},{0,9,5045},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{0,8,1201},{0,7,637},{0,7,637},{0,4,656},{0,4,1385},{0,4,800},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{5,0,1201},{0,7,637},{0,7,637},{0,4,656},{8,0,1201},
{0,4,656},{16,1,2665},{0,22,405},{1,15,5},{0,13,514},{16,1,2665},{28,0,2665},{0,13,514},{0,10,2689},{28,0,2665},{0,10,2689},{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},{0,30,2669},{0,23,313},{0,16,68},{0,15,410},{0,20,8498},{0,16,5330},{0,13,2210},{0,10,5530},{0,11,9702},{0,9,6270},{0,30,2669},
{0,23,313},{0,16,68},{0,15,410},{11,2,8493},{0,16,5330},{0,13,2210},{0,10,5530},{17,2,8493},{0,10,5530},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{0,9,1629},{0,8,832},{0,8,832},{0,5,881},{0,5,1874},{0,5,1106},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{5,1,1625},{0,8,832},{0,8,832},{0,5,881},{8,1,1625},{0,5,881},{17,2,2665},{0,23,313},{2,16,8},
{0,15,410},{17,2,2665},{29,1,2665},{0,15,410},{0,11,2689},{29,1,2665},{0,11,2689},{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},{0,31,2777},{0,26,232},{0,17,197},{0,16,305},{0,22,9674},{0,17,5849},{0,14,2450},{0,10,6106},{0,12,11199},{0,10,7006},{1,31,2741},{0,26,232},{1,17,146},{0,16,305},{11,4,9669},
{0,17,5849},{0,14,2450},{0,10,6106},{19,2,9669},{0,10,6106},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{0,11,2178},{0,10,1125},{0,10,1125},{0,6,1189},{0,6,2520},{0,5,1475},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{6,1,2178},{0,10,1125},{0,10,1125},{0,6,1189},{11,0,2178},{0,6,1189},{20,0,2665},{0,26,232},{3,17,2},{0,16,305},{20,0,2665},{30,2,2665},{0,16,305},
{0,12,2689},{30,2,2665},{0,12,2689},{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},{1,31,2949},{0,28,217},{1,18,261},{0,17,282},{0,25,9670},{0,19,5529},{0,16,1970},{0,12,5738},{0,13,11589},{0,11,6898},{2,31,2789},{0,28,217},{2,18,146},{0,17,282},{15,0,9669},{0,19,5529},{0,16,1970},{0,12,5738},{20,3,9669},
{0,12,5738},{0,24,64},{0,24,64},{0,24,64},{1,14,64},{0,13,2180},{0,11,949},{0,11,949},{0,7,1018},{0,7,2691},{0,6,1433},{1,23,1},{1,23,1},{1,23,1},{1,14,0},{8,0,2178},{0,11,949},{0,11,949},{0,7,1018},{5,5,2178},{0,7,1018},{21,1,2665},{0,28,153},{4,18,5},{0,17,218},{21,1,2665},{31,3,2665},{0,17,218},{0,13,2689},{31,3,2665},{0,13,2689},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,3,1},{0,3,1},{0,3,1},{0,2,4},{0,1,18},{0,1,18},{2,31,3285},{1,28,273},{2,19,453},{1,18,346},{0,27,9674},{0,20,5170},{0,17,1546},{0,13,5429},{0,15,11993},{0,12,6819},{3,31,2873},{1,28,209},{3,19,146},{1,18,282},{14,4,9669},{0,20,5170},{0,17,1546},{0,13,5429},{24,2,9669},{0,13,5429},{1,25,128},{1,25,128},{1,25,128},
{1,15,137},{0,16,2178},{0,13,832},{0,13,832},{0,8,881},{0,8,2882},{0,7,1427},{2,23,4},{2,23,4},{2,23,4},{2,15,0},{9,1,2178},{0,13,832},{0,13,832},{0,8,881},{16,0,2178},{0,8,881},{23,0,2665},{0,29,85},{5,19,5},{0,18,149},{23,0,2665},{30,5,2665},{0,18,149},{0,14,2689},{30,5,2665},{0,14,2689},{1,0,128},{1,0,128},{1,0,128},{1,0,128},{0,5,1},
{0,5,1},{0,5,1},{0,3,1},{0,2,72},{0,2,72},{3,31,3785},{1,30,405},{2,21,676},{1,19,469},{0,30,9669},{0,22,4878},{0,18,1190},{0,14,5138},{0,16,12390},{0,13,6789},{4,31,2966},{2,29,209},{4,20,149},{2,19,282},{18,0,9669},{0,22,4878},{0,18,1190},{0,14,5138},{30,0,9669},{0,14,5138},{2,26,320},{2,26,320},{2,26,320},{1,17,320},{0,19,2180},{0,15,680},{0,15,680},
{0,9,740},{0,9,3149},{0,8,1441},{3,24,1},{3,24,1},{3,24,1},{3,16,1},{10,2,2178},{0,15,680},{0,15,680},{0,9,740},{17,1,2178},{0,9,740},{24,1,2665},{0,31,41},{6,20,8},{0,19,98},{24,1,2665},{31,6,2665},{0,19,98},{0,15,2689},{31,6,2665},{0,15,2689},{1,0,320},{1,0,320},{1,0,320},{1,0,320},{0,8,0},{0,8,0},{0,8,0},{0,5,1},{0,4,160},
{0,4,160},{4,31,4514},{2,31,630},{3,22,1027},{2,20,694},{1,31,9738},{0,23,4646},{0,20,849},{0,15,4826},{0,18,12955},{0,14,6798},{6,31,3101},{3,31,218},{5,21,146},{3,20,299},{18,3,9669},{0,23,4646},{0,20,849},{0,15,4826},{28,3,9669},{0,15,4826},{2,29,545},{2,29,545},{2,29,545},{2,18,546},{0,22,2180},{0,17,505},{0,17,505},{0,11,610},{0,11,3467},{0,10,1513},{4,26,1},
{4,26,1},{4,26,1},{4,17,0},{13,0,2178},{0,17,505},{0,17,505},{0,11,610},{20,1,2178},{0,11,610},{26,1,2665},{2,31,85},{7,21,2},{0,20,65},{26,1,2665},{31,8,2665},{0,20,65},{0,16,2689},{31,8,2665},{0,16,2689},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,289},{0,5,289},{4,31,5330},{3,31,1018},{3,23,1430},
{2,21,979},{2,31,9981},{0,26,4406},{0,21,579},{0,16,4610},{0,19,13489},{0,15,6846},{7,31,3233},{4,31,226},{6,22,146},{4,21,282},{20,2,9669},{0,26,4406},{0,21,579},{0,16,4610},{24,7,9669},{0,16,4610},{3,30,865},{3,30,865},{3,30,865},{3,19,866},{0,24,2178},{0,19,389},{0,19,389},{0,12,464},{0,12,3885},{0,11,1603},{5,27,1},{5,27,1},{5,27,1},{5,18,0},{14,1,2178},
{0,19,389},{0,19,389},{0,12,464},{24,0,2178},{0,12,464},{28,0,2665},{3,31,153},{8,22,5},{0,22,37},{28,0,2665},{30,10,2665},{0,22,37},{0,17,2689},{30,10,2665},{0,17,2689},{3,0,865},{3,0,865},{3,0,865},{3,0,865},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,6,445},{0,6,445},{5,31,6270},{3,31,1626},{4,24,1886},{3,22,1299},{2,31,10381},{0,28,4146},{0,22,377},
{0,17,4373},{0,20,14006},{0,16,6915},{8,31,3434},{6,31,242},{7,23,146},{5,22,282},{21,3,9669},{0,28,4146},{0,22,377},{0,17,4373},{28,6,9669},{0,17,4373},{3,31,1226},{3,31,1226},{3,31,1226},{3,21,1205},{0,27,2180},{0,21,274},{0,21,274},{0,13,353},{0,14,4269},{0,11,1763},{6,27,4},{6,27,4},{6,27,4},{6,19,0},{16,0,2178},{0,21,274},{0,21,274},{0,13,353},{25,1,2178},
{0,13,353},{29,1,2665},{5,31,232},{9,23,5},{0,23,10},{29,1,2665},{31,11,2665},{0,23,10},{0,18,2689},{31,11,2665},{0,18,2689},{3,0,1201},{3,0,1201},{3,0,1201},{3,0,1201},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{0,7,637},{0,7,637},{6,31,7374},{4,31,2339},{4,25,2441},{3,23,1730},{3,31,10950},{0,29,3909},{0,23,243},{0,18,4154},{0,22,14614},{0,17,7029},{9,31,3638},
{7,31,320},{8,24,149},{6,23,282},{22,4,9669},{0,29,3909},{0,23,243},{0,18,4154},{29,7,9669},{0,18,4154},{4,31,1714},{4,31,1714},{4,31,1714},{3,22,1666},{0,29,2180},{0,23,194},{0,23,194},{0,14,260},{0,15,4686},{0,13,1937},{7,28,1},{7,28,1},{7,28,1},{7,20,1},{17,1,2178},{0,23,194},{0,23,194},{0,14,260},{26,2,2178},{0,14,260},{31,0,2665},{8,31,313},{10,24,8},
{0,24,4},{31,0,2665},{30,13,2665},{0,24,4},{0,19,2689},{30,13,2665},{0,19,2689},{3,0,1665},{3,0,1665},{3,0,1665},{3,0,1665},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{0,8,832},{0,8,832},{7,31,8807},{5,31,3388},{5,26,3116},{4,24,2243},{4,31,11766},{0,31,3686},{0,25,138},{0,19,3938},{0,23,15369},{0,18,7206},{11,31,3853},{8,31,457},{9,25,146},{7,24,299},{25,2,9669},
{0,31,3686},{0,25,138},{0,19,3938},{27,10,9669},{0,19,3938},{5,31,2427},{5,31,2427},{5,31,2427},{4,23,2182},{0,31,2210},{0,25,137},{0,25,137},{0,15,181},{0,16,5157},{0,14,2163},{8,30,1},{8,30,1},{8,30,1},{8,21,0},{17,4,2178},{0,25,137},{0,25,137},{0,15,181},{29,2,2178},{0,15,181},{31,3,2665},{9,31,405},{11,25,2},{1,25,2},{31,3,2665},{30,15,2665},{1,25,2},
{0,20,2689},{30,15,2665},{0,20,2689},{4,0,2178},{4,0,2178},{4,0,2178},{4,0,2178},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{0,10,1125},{0,10,1125},{7,31,10230},{6,31,4421},{6,27,3739},{4,26,2742},{5,31,12634},{0,31,3719},{0,26,87},{0,20,3771},{0,25,16061},{0,19,7283},{12,31,4050},{10,31,629},{10,26,146},{8,25,282},{26,3,9669},{0,31,3718},{0,26,86},{0,20,3770},{28,11,9669},
{0,20,3770},{5,31,3050},{5,31,3050},{5,31,3050},{5,24,2690},{1,31,2325},{0,26,86},{0,26,86},{0,16,129},{0,18,5544},{0,15,2318},{9,31,1},{9,31,1},{9,31,1},{9,22,0},{18,5,2178},{0,26,85},{0,26,85},{0,16,128},{30,3,2178},{0,16,128},{31,6,2665},{11,31,521},{12,26,5},{2,26,2},{31,6,2665},{29,17,2665},{2,26,2},{0,21,2689},{29,17,2665},{0,21,2689},{5,0,2689},
{5,0,2689},{5,0,2689},{5,0,2689},{0,24,1},{0,24,1},{0,24,1},{0,15,5},{0,11,1348},{0,11,1348},{9,31,10738},{7,31,4899},{7,28,3705},{5,27,2742},{6,31,13045},{1,31,4002},{1,27,87},{0,21,3686},{0,27,15601},{0,20,6570},{13,31,4302},{11,31,857},{11,27,146},{9,26,282},{28,2,9669},{2,31,3954},{1,27,86},{0,21,3605},{27,13,9669},{0,21,3605},{6,31,3173},{6,31,3173},{6,31,3173},
{6,25,2690},{2,31,2427},{1,28,83},{1,28,83},{1,17,129},{0,20,5170},{0,16,1856},{10,31,4},{10,31,4},{10,31,4},{10,23,0},{20,4,2178},{0,28,32},{0,28,32},{0,17,89},{29,5,2178},{0,17,89},{31,8,2665},{13,31,680},{13,27,5},{3,27,2},{31,8,2665},{30,18,2665},{3,27,2},{0,22,2689},{30,18,2665},{0,22,2689},{6,0,2689},{6,0,2689},{6,0,2689},{6,0,2689},{1,25,1},
{1,25,1},{1,25,1},{1,15,10},{0,13,1217},{0,13,1217},{10,31,11278},{8,31,5402},{7,29,3750},{6,28,2745},{7,31,13510},{3,31,4314},{2,28,77},{1,22,3686},{0,28,15046},{0,21,5958},{14,31,4590},{12,31,1171},{12,28,149},{10,27,282},{29,3,9669},{3,31,4265},{2,28,76},{0,22,3458},{28,14,9669},{0,22,3458},{7,31,3314},{7,31,3314},{7,31,3314},{7,26,2690},{4,31,2532},{2,28,73},{2,28,73},
{2,18,129},{0,21,4837},{0,17,1490},{11,31,25},{11,31,25},{11,31,25},{11,24,1},{24,0,2178},{0,30,8},{0,30,8},{0,19,49},{30,6,2178},{0,19,49},{31,11,2665},{15,31,832},{14,28,8},{4,28,4},{31,11,2665},{31,19,2665},{4,28,4},{0,23,2689},{31,19,2665},{0,23,2689},{7,0,2689},{7,0,2689},{7,0,2689},{7,0,2689},{2,26,1},{2,26,1},{2,26,1},{2,16,5},{0,14,1037},
{0,14,1037},{11,31,11942},{10,31,6090},{9,30,3739},{7,29,2751},{9,31,14053},{4,31,4863},{3,29,79},{2,24,3689},{0,30,14558},{0,23,5274},{16,31,4858},{14,31,1556},{13,29,146},{11,28,299},{29,6,9669},{6,31,4594},{3,29,75},{0,24,3265},{31,14,9669},{0,24,3265},{9,31,3505},{9,31,3505},{9,31,3505},{8,27,2693},{5,31,2645},{3,30,72},{3,30,72},{3,19,134},{0,23,4506},{0,19,1109},{12,31,64},
{12,31,64},{12,31,64},{12,25,0},{24,3,2178},{1,31,10},{1,31,10},{0,20,16},{28,9,2178},{0,20,16},{31,14,2665},{17,31,1053},{15,29,2},{5,29,2},{31,14,2665},{29,22,2665},{5,29,2},{0,24,2689},{29,22,2665},{0,24,2689},{8,0,2689},{8,0,2689},{8,0,2689},{8,0,2689},{3,27,5},{3,27,5},{3,27,5},{3,18,8},{0,16,818},{0,16,818},{12,31,12466},{11,31,6718},{10,31,3739},
{8,30,2742},{10,31,14554},{6,31,5363},{4,30,87},{3,24,3654},{0,31,14190},{0,24,4785},{17,31,5158},{15,31,1938},{14,30,146},{12,29,282},{30,7,9669},{8,31,4806},{4,30,86},{0,25,3130},{30,16,9669},{0,25,3130},{10,31,3658},{10,31,3658},{10,31,3658},{9,28,2690},{6,31,2795},{4,30,86},{4,30,86},{4,20,129},{0,25,4315},{0,20,809},{14,31,100},{14,31,100},{14,31,100},{13,26,0},{22,9,2178},
{3,31,34},{3,31,34},{0,21,1},{29,10,2178},{0,21,1},{30,18,2665},{19,31,1241},{16,30,5},{6,30,2},{30,18,2665},{30,23,2665},{6,30,2},{0,25,2689},{30,23,2665},{0,25,2689},{9,0,2689},{9,0,2689},{9,0,2689},{9,0,2689},{4,28,1},{4,28,1},{4,28,1},{4,19,5},{0,18,666},{0,18,666},{14,31,13094},{12,31,7445},{11,31,3830},{9,31,2742},{12,31,14998},{8,31,5926},{5,31,87},
{4,25,3686},{0,31,14254},{0,25,4323},{18,31,5494},{16,31,2414},{15,31,146},{13,30,282},{29,11,9669},{10,31,5138},{5,31,86},{0,26,3013},{31,17,9669},{0,26,3013},{11,31,3829},{11,31,3829},{11,31,3829},{10,29,2690},{7,31,2981},{5,31,86},{5,31,86},{5,21,129},{0,27,4059},{0,21,597},{15,31,145},{15,31,145},{15,31,145},{14,27,0},{24,8,2178},{5,31,85},{5,31,85},{1,22,1},{30,11,2178},
{1,22,1},{31,19,2665},{20,31,1378},{17,31,5},{7,31,2},{31,19,2665},{29,25,2665},{7,31,2},{0,26,2689},{29,25,2665},{0,26,2689},{10,0,2689},{10,0,2689},{10,0,2689},{10,0,2689},{5,29,1},{5,29,1},{5,29,1},{5,19,10},{0,20,505},{0,20,505},{15,31,12507},{13,31,7370},{12,31,4001},{11,31,2705},{13,31,14148},{8,31,5491},{6,31,154},{5,26,3063},{1,31,13399},{0,26,3306},{19,31,4949},
{17,31,2261},{16,31,202},{15,30,185},{29,13,8712},{11,31,4644},{7,31,145},{0,27,2403},{28,20,8712},{0,27,2403},{12,31,4001},{12,31,4001},{12,31,4001},{11,30,2690},{9,31,3204},{6,31,154},{6,31,154},{6,22,129},{0,28,3762},{0,23,425},{16,31,202},{16,31,202},{16,31,202},{15,28,1},{28,4,2178},{7,31,145},{7,31,145},{2,23,1},{29,13,2178},{2,23,1},{30,22,2178},{22,31,1145},{18,31,1},
{10,31,1},{30,22,2178},{27,27,2178},{10,31,1},{0,27,2178},{27,27,2178},{0,27,2178},{11,0,2689},{11,0,2689},{11,0,2689},{11,0,2689},{6,30,1},{6,30,1},{6,30,1},{6,20,5},{0,22,389},{0,22,389},{16,31,11658},{14,31,7195},{13,31,4225},{12,31,2693},{14,31,13066},{10,31,5014},{8,31,261},{6,27,2390},{3,31,12366},{0,27,2277},{20,31,4338},{18,31,2037},{17,31,289},{16,30,89},{29,15,7578},
{13,31,4037},{9,31,202},{0,27,1701},{30,20,7578},{0,27,1701},{13,31,4225},{13,31,4225},{13,31,4225},{12,31,2693},{10,31,3429},{8,31,261},{8,31,261},{7,23,134},{0,30,3509},{0,24,306},{17,31,289},{17,31,289},{17,31,289},{16,29,0},{31,2,2178},{9,31,202},{9,31,202},{3,24,0},{27,16,2178},{3,24,0},{31,22,1625},{23,31,850},{20,31,0},{13,31,1},{31,22,1625},{30,26,1625},{13,31,1},
{0,27,1665},{30,26,1625},{0,27,1665},{12,0,2689},{12,0,2689},{12,0,2689},{12,0,2689},{7,31,5},{7,31,5},{7,31,5},{7,22,8},{0,24,306},{0,24,306},{16,31,11002},{15,31,7081},{14,31,4450},{13,31,2738},{15,31,12205},{11,31,4663},{9,31,411},{7,27,1845},{4,31,11643},{0,28,1578},{21,31,3802},{20,31,1845},{18,31,388},{17,31,25},{30,15,6661},{15,31,3525},{11,31,290},{0,28,1217},{30,21,6661},
{0,28,1217},{14,31,4450},{14,31,4450},{14,31,4450},{13,31,2738},{11,31,3675},{9,31,411},{9,31,411},{8,24,129},{0,31,3354},{0,25,244},{18,31,388},{18,31,388},{18,31,388},{17,30,0},{26,13,2178},{11,31,290},{11,31,290},{4,25,1},{21,21,2178},{4,25,1},{31,23,1201},{24,31,653},{22,31,4},{15,31,1},{31,23,1201},{30,27,1201},{15,31,1},{0,28,1201},{30,27,1201},{0,28,1201},{13,0,2689},
{13,0,2689},{13,0,2689},{13,0,2689},{8,31,17},{8,31,17},{8,31,17},{8,23,5},{0,26,218},{0,26,218},{17,31,10434},{16,31,7010},{15,31,4693},{14,31,2833},{16,31,11374},{12,31,4462},{10,31,629},{8,28,1387},{6,31,10895},{0,28,1002},{22,31,3334},{20,31,1701},{19,31,505},{18,31,0},{30,17,5829},{16,31,3145},{12,31,405},{1,28,866},{25,25,5829},{1,28,866},{15,31,4693},{15,31,4693},{15,31,4693},
{14,31,2833},{12,31,3906},{10,31,629},{10,31,629},{9,25,129},{1,31,3525},{0,27,228},{19,31,505},{19,31,505},{19,31,505},{18,31,0},{28,12,2178},{12,31,405},{12,31,405},{5,26,1},{22,22,2178},{5,26,1},{30,26,841},{25,31,461},{23,31,1},{18,31,0},{30,26,841},{31,27,841},{18,31,0},{0,28,865},{31,27,841},{0,28,865},{14,0,2689},{14,0,2689},{14,0,2689},{14,0,2689},{9,31,50},
{9,31,50},{9,31,50},{9,23,10},{0,28,137},{0,28,137},{18,31,9934},{17,31,6962},{16,31,4913},{15,31,2978},{17,31,10683},{13,31,4277},{11,31,915},{9,28,994},{8,31,10078},{0,29,630},{23,31,2934},{22,31,1605},{21,31,650},{19,31,25},{31,17,5082},{18,31,2769},{14,31,521},{2,29,546},{25,26,5082},{2,29,546},{16,31,4913},{16,31,4913},{16,31,4913},{15,31,2978},{14,31,4170},{11,31,915},{11,31,915},
{10,26,129},{3,31,3789},{1,28,226},{21,31,650},{21,31,650},{21,31,650},{19,31,25},{29,13,2178},{14,31,521},{14,31,521},{6,27,1},{28,20,2178},{6,27,1},{31,26,545},{26,31,305},{25,31,4},{20,31,1},{31,26,545},{29,29,545},{20,31,1},{0,29,545},{29,29,545},{0,29,545},{15,0,2689},{15,0,2689},{15,0,2689},{15,0,2689},{11,31,74},{11,31,74},{11,31,74},{10,24,5},{0,29,85},
{0,29,85},{19,31,9465},{18,31,6955},{17,31,5233},{16,31,3218},{18,31,10003},{14,31,4183},{13,31,1258},{10,29,645},{9,31,9445},{1,30,409},{24,31,2529},{23,31,1525},{22,31,785},{20,31,100},{31,19,4344},{20,31,2345},{16,31,698},{5,29,321},{27,26,4344},{5,29,321},{17,31,5233},{17,31,5233},{17,31,5233},{16,31,3218},{15,31,4491},{13,31,1258},{13,31,1258},{11,27,134},{5,31,4171},{2,29,213},{22,31,785},
{22,31,785},{22,31,785},{20,31,100},{29,16,2178},{16,31,698},{16,31,698},{7,28,0},{31,20,2178},{7,28,0},{31,27,290},{28,31,162},{26,31,4},{23,31,1},{31,27,290},{30,29,290},{23,31,1},{0,29,320},{30,29,290},{0,29,320},{16,0,2689},{16,0,2689},{16,0,2689},{16,0,2689},{12,31,113},{12,31,113},{12,31,113},{11,26,8},{0,31,45},{0,31,45},{20,31,9219},{19,31,6985},{18,31,5530},
{17,31,3473},{19,31,9496},{15,31,4186},{14,31,1630},{12,29,426},{11,31,8961},{3,30,277},{25,31,2275},{24,31,1509},{23,31,932},{22,31,208},{30,22,3779},{21,31,2086},{18,31,850},{6,30,129},{27,27,3779},{6,30,129},{18,31,5530},{18,31,5530},{18,31,5530},{17,31,3473},{16,31,4770},{14,31,1630},{14,31,1630},{12,28,129},{8,31,4442},{3,30,213},{23,31,932},{23,31,932},{23,31,932},{22,31,208},{30,17,2178},
{18,31,850},{18,31,850},{8,29,1},{25,25,2178},{8,29,1},{30,30,128},{29,31,72},{28,31,1},{26,31,0},{30,30,128},{30,30,128},{26,31,0},{0,30,128},{30,30,128},{0,30,128},{17,0,2689},{17,0,2689},{17,0,2689},{17,0,2689},{13,31,170},{13,31,170},{13,31,170},{12,27,5},{2,31,89},{2,31,89},{21,31,8929},{20,31,7062},{19,31,5845},{18,31,3778},{20,31,9188},{17,31,4260},{15,31,2070},
{13,30,234},{13,31,8680},{4,31,228},{26,31,2089},{25,31,1515},{24,31,1073},{23,31,353},{30,24,3299},{22,31,1913},{20,31,965},{9,30,65},{29,27,3299},{9,30,65},{19,31,5845},{19,31,5845},{19,31,5845},{18,31,3778},{17,31,5124},{15,31,2070},{15,31,2070},{13,29,129},{9,31,4725},{4,31,228},{24,31,1073},{24,31,1073},{24,31,1073},{23,31,353},{31,18,2178},{20,31,965},{20,31,965},{9,30,1},{26,26,2178},
{9,30,1},{31,30,34},{30,31,18},{29,31,4},{28,31,1},{31,30,34},{31,30,34},{28,31,1},{0,30,64},{31,30,34},{0,30,64},{18,0,2689},{18,0,2689},{18,0,2689},{18,0,2689},{14,31,245},{14,31,245},{14,31,245},{13,27,10},{4,31,164},{4,31,164},{22,31,8707},{21,31,7170},{21,31,6209},{19,31,4133},{21,31,8853},{18,31,4387},{17,31,2548},{14,31,170},{14,31,8388},{6,31,244},{27,31,1971},
{26,31,1557},{25,31,1250},{24,31,565},{31,24,2904},{23,31,1826},{22,31,1145},{10,31,1},{24,31,2904},{10,31,1},{21,31,6209},{21,31,6209},{21,31,6209},{19,31,4133},{19,31,5460},{17,31,2548},{17,31,2548},{14,30,129},{11,31,5085},{6,31,244},{25,31,1250},{25,31,1250},{25,31,1250},{24,31,565},{30,22,2178},{22,31,1145},{22,31,1145},{10,31,1},{27,27,2178},{10,31,1},{31,31,0},{31,31,0},{31,31,0},
{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{19,0,2689},{19,0,2689},{19,0,2689},{19,0,2689},{15,31,338},{15,31,338},{15,31,338},{14,28,5},{6,31,244},{6,31,244},{23,31,7705},{22,31,6418},{21,31,5633},{20,31,3845},{22,31,7654},{19,31,3874},{18,31,2310},{15,31,53},{15,31,7258},{8,31,317},{27,31,1458},{27,31,1186},{26,31,932},{25,31,425},{31,25,2166},
{25,31,1398},{23,31,850},{13,31,1},{28,29,2166},{13,31,1},{21,31,5633},{21,31,5633},{21,31,5633},{20,31,3845},{19,31,4830},{18,31,2310},{18,31,2310},{15,31,53},{13,31,4506},{8,31,317},{26,31,932},{26,31,932},{26,31,932},{25,31,425},{31,22,1625},{23,31,850},{23,31,850},{13,31,1},{30,26,1625},{13,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{20,0,2689},{20,0,2689},{20,0,2689},{20,0,2689},{16,31,449},{16,31,449},{16,31,449},{15,30,8},{8,31,317},{8,31,317},{24,31,6881},{23,31,5814},{22,31,5138},{21,31,3650},{23,31,6713},{20,31,3400},{19,31,2142},{16,31,5},{17,31,6397},{9,31,425},{28,31,1075},{27,31,866},{27,31,697},{26,31,320},{31,26,1601},{26,31,1041},{24,31,653},{15,31,1},{29,29,1601},
{15,31,1},{22,31,5138},{22,31,5138},{22,31,5138},{21,31,3650},{21,31,4313},{19,31,2142},{19,31,2142},{16,31,5},{14,31,3981},{9,31,425},{27,31,697},{27,31,697},{27,31,697},{26,31,320},{31,23,1201},{24,31,653},{24,31,653},{15,31,1},{30,27,1201},{15,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{21,0,2689},
{21,0,2689},{21,0,2689},{21,0,2689},{18,31,549},{18,31,549},{18,31,549},{16,31,5},{9,31,425},{9,31,425},{24,31,6097},{24,31,5285},{23,31,4693},{22,31,3473},{23,31,5833},{21,31,3067},{20,31,1988},{17,31,10},{18,31,5571},{11,31,541},{28,31,739},{28,31,595},{27,31,505},{27,31,233},{30,28,1121},{26,31,737},{25,31,461},{18,31,0},{28,30,1121},{18,31,0},{23,31,4693},{23,31,4693},{23,31,4693},
{22,31,3473},{22,31,3845},{20,31,1988},{20,31,1988},{17,31,10},{15,31,3542},{11,31,541},{27,31,505},{27,31,505},{27,31,505},{27,31,233},{30,26,841},{25,31,461},{25,31,461},{18,31,0},{31,27,841},{18,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{22,0,2689},{22,0,2689},{22,0,2689},{22,0,2689},{19,31,666},
{19,31,666},{19,31,666},{17,31,10},{11,31,541},{11,31,541},{25,31,5427},{24,31,4757},{24,31,4273},{23,31,3314},{24,31,5002},{22,31,2788},{21,31,1898},{18,31,65},{20,31,4714},{13,31,698},{29,31,489},{28,31,387},{28,31,306},{28,31,162},{30,29,726},{27,31,482},{26,31,305},{20,31,1},{29,30,726},{20,31,1},{24,31,4273},{24,31,4273},{24,31,4273},{23,31,3314},{22,31,3429},{21,31,1898},{21,31,1898},
{18,31,65},{17,31,3213},{13,31,698},{28,31,306},{28,31,306},{28,31,306},{28,31,162},{31,26,545},{26,31,305},{26,31,305},{20,31,1},{29,29,545},{20,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{23,0,2689},{23,0,2689},{23,0,2689},{23,0,2689},{20,31,832},{20,31,832},{20,31,832},{18,31,65},{13,31,698},
{13,31,698},{4,31,33740},{0,31,5184},{0,22,420},{0,21,4221},{3,31,45594},{0,29,24105},{0,21,8317},{0,18,24790},{0,21,63990},{0,16,38959},{2,31,9704},{0,30,2866},{0,21,389},{0,19,3229},{14,2,18065},{0,20,13257},{0,17,6153},{0,12,13481},{25,0,18065},{0,12,13481},{0,15,1},{0,15,1},{0,15,1},{0,9,1},{0,8,1105},{0,7,585},{0,7,585},{0,4,596},{0,4,1273},{0,4,740},{0,15,1},
{0,15,1},{0,15,1},{0,9,1},{4,1,1105},{0,7,585},{0,7,585},{0,4,596},{8,0,1105},{0,4,596},{20,4,9248},{0,30,2866},{0,21,389},{0,19,3229},{20,4,9248},{29,5,9248},{0,19,3229},{0,14,9248},{29,5,9248},{0,14,9248},{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},{4,31,38380},{1,31,6614},{0,23,245},
{0,22,3864},{4,31,50747},{0,31,24961},{0,22,8353},{0,19,25735},{0,22,65535},{0,17,41319},{2,31,10152},{0,31,2624},{0,23,229},{0,20,2980},{16,0,19334},{0,20,13769},{0,18,6243},{0,13,14116},{25,1,19334},{0,13,14116},{0,18,0},{0,18,0},{0,18,0},{0,11,1},{0,9,1513},{0,8,772},{0,8,772},{0,5,821},{0,5,1750},{0,4,1028},{0,18,0},{0,18,0},{0,18,0},{0,11,1},{5,1,1513},
{0,8,772},{0,8,772},{0,5,821},{9,0,1513},{0,5,821},{24,0,9248},{0,31,2624},{0,23,229},{0,20,2980},{24,0,9248},{30,6,9248},{0,20,2980},{0,15,9248},{30,6,9248},{0,15,9248},{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},{4,31,43788},{1,31,8598},{0,24,126},{0,23,3525},{4,31,56155},{0,31,26241},{0,23,8425},
{0,20,26793},{0,23,65535},{0,18,43819},{3,31,10706},{0,31,2624},{0,24,122},{0,21,2701},{17,0,20689},{0,22,14385},{0,19,6369},{0,13,14756},{25,2,20689},{0,13,14756},{0,21,1},{0,21,1},{0,21,1},{0,12,4},{0,10,1989},{0,9,1018},{0,9,1018},{0,6,1096},{0,5,2294},{0,5,1334},{0,21,1},{0,21,1},{0,21,1},{0,12,4},{5,2,1985},{0,9,1018},{0,9,1018},{0,6,1096},{9,1,1985},
{0,6,1096},{25,1,9248},{0,31,2624},{0,24,122},{0,21,2701},{25,1,9248},{31,7,9248},{0,21,2701},{0,16,9250},{31,7,9248},{0,16,9250},{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},{5,31,49566},{1,31,11350},{0,25,41},{0,24,3109},{4,31,62331},{0,31,28289},{0,24,8585},{0,21,27848},{0,23,65535},{0,19,46459},{4,31,11395},
{0,31,2880},{0,25,37},{0,22,2440},{17,2,22129},{0,23,15030},{0,20,6509},{0,14,15441},{27,2,22129},{0,14,15441},{0,23,1},{0,23,1},{0,23,1},{0,14,0},{0,12,2525},{0,10,1300},{0,10,1300},{0,6,1384},{0,6,2905},{0,6,1708},{0,23,1},{0,23,1},{0,23,1},{0,14,0},{7,0,2521},{0,10,1300},{0,10,1300},{0,6,1384},{10,1,2521},{0,6,1384},{26,2,9248},{1,31,2866},{0,25,37},
{0,22,2440},{26,2,9248},{27,11,9248},{0,22,2440},{0,17,9250},{27,11,9248},{0,17,9250},{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},{5,31,56892},{2,31,15166},{0,26,20},{0,25,2804},{5,31,65535},{0,31,31511},{0,25,8733},{0,22,29095},{0,26,65535},{0,20,49444},{4,31,12385},{1,31,3380},{0,26,4},{0,23,2173},{17,4,23851},
{0,23,15948},{0,21,6729},{0,15,16274},{29,2,23851},{0,15,16274},{0,26,0},{0,26,0},{0,26,0},{0,16,4},{0,13,3200},{0,11,1665},{0,11,1665},{0,7,1754},{0,7,3691},{0,6,2185},{0,26,0},{0,26,0},{0,26,0},{0,16,4},{2,10,3200},{0,11,1665},{0,11,1665},{0,7,1754},{13,0,3200},{0,7,1754},{24,8,9248},{3,31,3204},{0,26,4},{0,23,2173},{24,8,9248},{30,11,9248},{0,23,2173},
{0,18,9248},{30,11,9248},{0,18,9248},{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},{6,31,63870},{2,31,19230},{0,27,45},{0,27,2520},{5,31,65535},{1,31,35016},{0,26,8925},{0,23,30250},{0,28,65535},{0,21,52374},{5,31,13379},{2,31,4026},{0,27,29},{0,24,1901},{18,4,25472},{0,26,16706},{0,22,6963},{0,16,17124},{29,3,25472},
{0,16,17124},{0,29,1},{0,29,1},{0,29,1},{0,17,1},{0,14,3874},{0,13,2084},{0,13,2084},{0,8,2165},{0,8,4466},{0,7,2627},{0,29,1},{0,29,1},{0,29,1},{0,17,1},{8,1,3872},{0,13,2084},{0,13,2084},{0,8,2165},{6,5,3872},{0,8,2165},{28,4,9248},{5,31,3589},{1,27,4},{0,24,1901},{28,4,9248},{29,13,9248},{0,24,1901},{0,19,9248},{29,13,9248},{0,19,9248},{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},{6,31,65535},{2,31,24002},{0,28,109},{0,27,2268},{6,31,65535},{1,31,38780},{0,27,8825},{0,24,30825},{0,28,65535},{0,22,54996},{6,31,14345},{2,31,4766},{1,28,62},{0,26,1697},{18,6,26744},{0,28,17104},{0,23,6957},{0,17,17625},{31,3,26744},{0,17,17625},{0,31,5},{0,31,5},{0,31,5},
{0,19,5},{0,16,4418},{0,14,2306},{0,14,2306},{0,9,2420},{0,8,5122},{0,8,2997},{0,31,5},{0,31,5},{0,31,5},{0,19,5},{9,1,4418},{0,14,2306},{0,14,2306},{0,9,2420},{16,0,4418},{0,9,2420},{29,5,9248},{8,31,3904},{2,28,1},{0,26,1693},{29,5,9248},{30,14,9248},{0,26,1693},{0,20,9250},{30,14,9248},{0,20,9250},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{7,31,65535},{3,31,29032},{0,29,330},{0,28,2105},{6,31,65535},{2,31,42151},{0,28,7781},{0,25,30108},{0,29,65535},{0,22,56388},{7,31,14819},{3,31,5416},{2,29,62},{0,27,1580},{23,0,26744},{0,29,16547},{0,24,6221},{0,18,17124},{30,5,26744},{0,18,17124},{1,31,84},{1,31,84},{1,31,84},{1,20,72},{0,19,4420},{0,16,2005},{0,16,2005},
{0,10,2165},{0,9,5389},{0,9,2925},{1,31,20},{1,31,20},{1,31,20},{1,20,8},{10,2,4418},{0,16,2005},{0,16,2005},{0,10,2165},{17,1,4418},{0,10,2165},{30,6,9248},{8,31,4160},{3,29,1},{0,27,1480},{30,6,9248},{31,15,9248},{0,27,1480},{0,21,9250},{31,15,9248},{0,21,9250},{1,0,68},{1,0,68},{1,0,68},{1,0,68},{0,3,1},{0,3,1},{0,3,1},{0,2,0},{0,1,34},
{0,1,34},{7,31,65535},{3,31,35719},{1,30,717},{0,30,2062},{7,31,65535},{2,31,46660},{0,29,6696},{0,26,29322},{0,31,65535},{0,23,58077},{9,31,15473},{5,31,6173},{3,30,65},{1,28,1601},{23,3,26744},{0,31,15992},{0,26,5346},{0,19,16582},{28,8,26744},{0,19,16582},{2,31,329},{2,31,329},{2,31,329},{1,21,189},{0,22,4420},{0,18,1737},{0,18,1737},{0,11,1898},{0,11,5707},{0,10,2885},{3,31,34},
{3,31,34},{3,31,34},{2,21,10},{13,0,4418},{0,18,1737},{0,18,1737},{0,11,1898},{20,1,4418},{0,11,1898},{28,12,9248},{10,31,4570},{4,30,4},{0,28,1285},{28,12,9248},{22,22,9248},{0,28,1285},{0,22,9248},{22,22,9248},{0,22,9248},{1,0,185},{1,0,185},{1,0,185},{1,0,185},{0,6,1},{0,6,1},{0,6,1},{0,4,1},{0,3,97},{0,3,97},{7,31,65535},{4,31,40786},{1,31,1122},
{0,30,2138},{7,31,65535},{2,31,49800},{0,30,5634},{0,27,27967},{0,31,65535},{0,24,58770},{10,31,15531},{6,31,6593},{4,31,61},{2,29,1533},{25,2,26259},{0,31,15284},{0,27,4514},{0,20,15812},{27,10,26259},{0,20,15812},{2,31,633},{2,31,633},{2,31,633},{2,22,381},{0,24,4418},{0,20,1480},{0,20,1480},{0,12,1640},{0,12,6125},{0,11,2891},{4,31,61},{4,31,61},{4,31,61},{3,22,10},{14,1,4418},
{0,20,1480},{0,20,1480},{0,12,1640},{24,0,4418},{0,12,1640},{30,11,8978},{11,31,4744},{5,31,0},{0,29,1040},{30,11,8978},{31,18,8978},{0,29,1040},{0,23,8980},{31,18,8978},{0,23,8980},{2,0,377},{2,0,377},{2,0,377},{2,0,377},{0,9,0},{0,9,0},{0,9,0},{0,5,4},{0,4,193},{0,4,193},{8,31,65535},{4,31,40898},{1,31,1890},{0,31,2125},{7,31,65535},{3,31,47871},{0,30,4194},
{0,27,24703},{0,31,65535},{0,24,56130},{11,31,14325},{8,31,6051},{5,31,100},{3,29,1218},{22,9,24371},{0,31,13716},{0,28,3402},{0,21,13989},{29,10,24371},{0,21,13989},{3,31,1058},{3,31,1058},{3,31,1058},{2,24,617},{0,27,4420},{0,22,1280},{0,22,1280},{0,13,1445},{0,14,6509},{0,12,2945},{5,31,100},{5,31,100},{5,31,100},{4,23,5},{16,0,4418},{0,22,1280},{0,22,1280},{0,13,1445},{25,1,4418},
{0,13,1445},{29,14,7938},{13,31,4225},{7,31,4},{0,29,656},{29,14,7938},{29,20,7938},{0,29,656},{0,23,7956},{29,20,7938},{0,23,7956},{2,0,617},{2,0,617},{2,0,617},{2,0,617},{0,11,4},{0,11,4},{0,11,4},{0,7,0},{0,5,325},{0,5,325},{8,31,65535},{4,31,41266},{1,31,2914},{1,31,2170},{7,31,65535},{3,31,46175},{0,30,3010},{0,27,21695},{0,31,65535},{0,25,53636},{12,31,13140},
{8,31,5571},{6,31,157},{4,29,932},{24,7,22568},{0,31,12404},{0,28,2474},{0,21,12245},{29,11,22568},{0,21,12245},{4,31,1630},{4,31,1630},{4,31,1630},{3,25,937},{0,29,4420},{0,23,1090},{0,23,1090},{0,14,1268},{0,15,6926},{0,13,3029},{6,31,157},{6,31,157},{6,31,157},{5,24,8},{17,1,4418},{0,23,1090},{0,23,1090},{0,14,1268},{26,2,4418},{0,14,1268},{31,12,6962},{14,31,3709},{8,31,1},
{0,30,353},{31,12,6962},{27,22,6962},{0,30,353},{0,24,6970},{27,22,6962},{0,24,6970},{3,0,937},{3,0,937},{3,0,937},{3,0,937},{0,14,0},{0,14,0},{0,14,0},{0,8,4},{0,6,493},{0,6,493},{9,31,65535},{5,31,41956},{2,31,4257},{1,31,2512},{7,31,65535},{3,31,44573},{0,30,1984},{0,28,18569},{0,31,65535},{0,25,51026},{13,31,11930},{10,31,5125},{7,31,250},{5,29,701},{27,4,20642},
{1,31,11209},{0,29,1634},{0,22,10422},{31,11,20642},{0,22,10422},{4,31,2350},{4,31,2350},{4,31,2350},{3,27,1361},{0,31,4450},{0,25,949},{0,25,949},{0,16,1096},{0,16,7397},{0,14,3171},{7,31,250},{7,31,250},{7,31,250},{6,25,10},{17,4,4418},{0,25,949},{0,25,949},{0,16,1096},{29,2,4418},{0,16,1096},{30,15,5941},{15,31,3176},{10,31,0},{0,30,128},{30,15,5941},{30,21,5941},{0,30,128},
{0,24,5953},{30,21,5941},{0,24,5953},{3,0,1360},{3,0,1360},{3,0,1360},{3,0,1360},{0,17,0},{0,17,0},{0,17,0},{0,10,1},{0,8,697},{0,8,697},{9,31,65535},{5,31,42660},{2,31,5617},{1,31,3088},{8,31,65535},{3,31,43421},{0,31,1250},{0,28,15865},{0,31,65535},{0,25,48978},{13,31,10922},{11,31,4753},{8,31,360},{6,30,509},{28,4,19021},{2,31,10246},{0,30,1088},{0,23,8945},{29,13,19021},
{0,23,8945},{5,31,3131},{5,31,3131},{5,31,3131},{4,28,1822},{1,31,4580},{0,28,776},{0,28,776},{0,17,925},{0,18,7893},{0,15,3333},{8,31,360},{8,31,360},{8,31,360},{7,26,10},{18,5,4418},{0,28,776},{0,28,776},{0,17,925},{30,3,4418},{0,17,925},{31,15,5101},{17,31,2777},{11,31,9},{0,31,25},{31,15,5101},{30,22,5101},{0,31,25},{0,25,5105},{30,22,5101},{0,25,5105},{4,0,1818},
{4,0,1818},{4,0,1818},{4,0,1818},{0,20,1},{0,20,1},{0,20,1},{0,12,1},{0,9,925},{0,9,925},{9,31,65535},{5,31,43620},{2,31,7233},{1,31,3920},{8,31,65535},{3,31,42525},{0,31,738},{0,28,13417},{0,31,65535},{0,25,47186},{14,31,9978},{11,31,4449},{10,31,452},{7,30,354},{31,1,17485},{3,31,9369},{0,30,704},{0,24,7570},{31,13,17485},{0,24,7570},{6,31,4058},{6,31,4058},{6,31,4058},
{4,29,2315},{2,31,4874},{0,29,610},{0,29,610},{0,18,772},{0,20,8427},{0,16,3497},{10,31,452},{10,31,452},{10,31,452},{8,27,5},{20,4,4418},{0,29,610},{0,29,610},{0,18,772},{29,5,4418},{0,18,772},{31,16,4325},{18,31,2357},{13,31,0},{1,31,0},{31,16,4325},{31,22,4325},{1,31,0},{0,25,4337},{31,22,4325},{0,25,4337},{4,0,2314},{4,0,2314},{4,0,2314},{4,0,2314},{0,22,1},
{0,22,1},{0,22,1},{0,13,4},{0,10,1189},{0,10,1189},{9,31,65535},{5,31,44836},{2,31,9105},{2,31,4905},{8,31,65535},{3,31,41885},{0,31,482},{0,28,11225},{0,31,65535},{0,26,45590},{15,31,9102},{13,31,4161},{11,31,557},{9,30,212},{29,6,16034},{5,31,8602},{0,31,482},{0,24,6242},{31,14,16034},{0,24,6242},{6,31,5066},{6,31,5066},{6,31,5066},{5,30,2907},{2,31,5322},{0,31,482},{0,31,482},
{0,19,637},{0,20,8939},{0,17,3725},{11,31,557},{11,31,557},{11,31,557},{9,28,8},{24,0,4418},{0,31,482},{0,31,482},{0,19,637},{30,6,4418},{0,19,637},{30,19,3613},{20,31,1940},{15,31,4},{4,31,1},{30,19,3613},{31,23,3613},{4,31,1},{0,26,3617},{31,23,3613},{0,26,3617},{5,0,2906},{5,0,2906},{5,0,2906},{5,0,2906},{0,25,1},{0,25,1},{0,25,1},{0,15,0},{0,11,1489},
{0,11,1489},{9,31,65535},{5,31,46510},{3,31,11362},{2,31,6237},{9,31,65535},{3,31,41471},{0,31,500},{0,29,8976},{0,31,65535},{0,26,43934},{16,31,8139},{14,31,3853},{12,31,680},{10,30,109},{26,13,14504},{8,31,7667},{0,31,500},{0,25,4979},{21,21,14504},{0,25,4979},{7,31,6337},{7,31,6337},{7,31,6337},{5,31,3642},{3,31,5962},{0,31,500},{0,31,500},{0,20,520},{0,22,9629},{0,18,4035},{12,31,680},
{12,31,680},{12,31,680},{10,29,10},{24,3,4418},{0,31,500},{0,31,500},{0,20,520},{28,9,4418},{0,20,520},{31,19,2888},{20,31,1517},{16,31,1},{7,31,1},{31,19,2888},{27,26,2888},{7,31,1},{0,26,2906},{27,26,2888},{0,26,2906},{5,0,3617},{5,0,3617},{5,0,3617},{5,0,3617},{0,28,1},{0,28,1},{0,28,1},{0,17,4},{0,11,1930},{0,11,1930},{10,31,65535},{6,31,48082},{3,31,13570},
{2,31,7693},{9,31,65535},{3,31,41375},{0,31,788},{0,29,7120},{0,31,65535},{0,26,42734},{17,31,7409},{15,31,3625},{13,31,821},{11,31,45},{28,11,13235},{8,31,6899},{2,31,628},{0,25,3987},{31,16,13235},{0,25,3987},{7,31,7681},{7,31,7681},{7,31,7681},{6,31,4437},{4,31,6659},{1,31,738},{1,31,738},{0,21,421},{0,23,10286},{0,20,4305},{13,31,821},{13,31,821},{13,31,821},{11,30,10},{22,9,4418},
{2,31,628},{2,31,628},{0,21,421},{29,10,4418},{0,21,421},{31,20,2312},{21,31,1217},{18,31,1},{9,31,0},{31,20,2312},{30,25,2312},{9,31,0},{0,27,2314},{30,25,2312},{0,27,2314},{6,0,4337},{6,0,4337},{6,0,4337},{6,0,4337},{0,30,1},{0,30,1},{0,30,1},{0,18,1},{0,13,2329},{0,13,2329},{10,31,65535},{6,31,49890},{3,31,16034},{2,31,9405},{9,31,65535},{4,31,41526},{0,31,1332},
{0,29,5520},{0,31,65535},{0,26,41790},{18,31,6747},{16,31,3459},{14,31,980},{12,31,5},{31,8,12051},{10,31,6275},{4,31,801},{0,26,3066},{28,19,12051},{0,26,3066},{8,31,9062},{8,31,9062},{8,31,9062},{7,31,5410},{4,31,7555},{1,31,1154},{1,31,1154},{0,23,325},{0,23,11118},{0,20,4625},{14,31,980},{14,31,980},{14,31,980},{12,31,5},{24,8,4418},{4,31,801},{4,31,801},{0,23,325},{30,11,4418},
{0,23,325},{30,23,1800},{23,31,949},{19,31,4},{12,31,1},{30,23,1800},{28,27,1800},{12,31,1},{0,27,1818},{28,27,1800},{0,27,1818},{6,0,5105},{6,0,5105},{6,0,5105},{6,0,5105},{0,31,36},{0,31,36},{0,31,36},{0,20,4},{0,15,2741},{0,15,2741},{10,31,65535},{6,31,51954},{3,31,18754},{3,31,11330},{9,31,65535},{4,31,41798},{1,31,2082},{0,29,4176},{0,31,65535},{0,27,41092},{19,31,6153},
{17,31,3297},{16,31,1154},{13,31,20},{29,13,10952},{11,31,5708},{6,31,965},{0,27,2291},{28,20,10952},{0,27,2291},{9,31,10545},{9,31,10545},{9,31,10545},{7,31,6482},{5,31,8549},{2,31,1716},{2,31,1716},{0,24,221},{0,26,11876},{0,22,4989},{16,31,1154},{16,31,1154},{16,31,1154},{13,31,20},{28,4,4418},{6,31,965},{6,31,965},{0,24,221},{29,13,4418},{0,24,221},{29,26,1352},{23,31,725},{21,31,0},
{14,31,1},{29,26,1352},{31,26,1352},{14,31,1},{0,28,1360},{31,26,1352},{0,28,1360},{7,0,5953},{7,0,5953},{7,0,5953},{7,0,5953},{1,31,145},{1,31,145},{1,31,145},{0,21,1},{0,16,3130},{0,16,3130},{10,31,65535},{6,31,54582},{4,31,21886},{3,31,13652},{9,31,65535},{4,31,42410},{1,31,3144},{0,30,2841},{0,31,65535},{0,27,40390},{19,31,5649},{18,31,3157},{17,31,1325},{15,31,74},{29,15,9818},
{13,31,5241},{8,31,1108},{0,27,1589},{30,20,9818},{0,27,1589},{10,31,12376},{10,31,12376},{10,31,12376},{8,31,7844},{6,31,9861},{3,31,2576},{3,31,2576},{0,25,136},{0,28,12696},{0,23,5429},{17,31,1325},{17,31,1325},{17,31,1325},{15,31,74},{31,2,4418},{8,31,1108},{8,31,1108},{0,25,136},{27,16,4418},{0,25,136},{31,24,925},{25,31,505},{23,31,1},{17,31,1},{31,24,925},{31,27,925},{17,31,1},
{0,28,937},{31,27,925},{0,28,937},{7,0,6970},{7,0,6970},{7,0,6970},{7,0,6970},{1,31,388},{1,31,388},{1,31,388},{0,23,0},{0,17,3665},{0,17,3665},{10,31,65535},{7,31,57052},{4,31,24910},{3,31,15988},{9,31,65535},{4,31,43226},{1,31,4360},{0,30,1833},{0,31,65535},{0,27,40038},{21,31,5202},{19,31,3073},{18,31,1508},{16,31,180},{30,15,8901},{14,31,4814},{10,31,1300},{0,28,1021},{30,21,8901},
{0,28,1021},{10,31,14136},{10,31,14136},{10,31,14136},{8,31,9252},{7,31,11195},{3,31,3536},{3,31,3536},{0,26,85},{0,29,13491},{0,23,5925},{18,31,1508},{18,31,1508},{18,31,1508},{16,31,180},{26,13,4418},{10,31,1300},{10,31,1300},{0,26,85},{21,21,4418},{0,26,85},{30,27,613},{26,31,337},{24,31,1},{20,31,1},{30,27,613},{30,28,613},{20,31,1},{0,29,617},{30,28,613},{0,29,617},{8,0,7956},
{8,0,7956},{8,0,7956},{8,0,7956},{2,31,697},{2,31,697},{2,31,697},{0,25,4},{0,18,4181},{0,18,4181},{11,31,65535},{7,31,59708},{4,31,28190},{3,31,18580},{10,31,65535},{5,31,44295},{1,31,5832},{0,30,1081},{0,31,65535},{0,27,39942},{22,31,4818},{20,31,3017},{19,31,1709},{17,31,325},{30,17,8069},{15,31,4473},{11,31,1514},{0,29,602},{25,25,8069},{0,29,602},{11,31,15965},{11,31,15965},{11,31,15965},
{9,31,10757},{7,31,12667},{4,31,4662},{4,31,4662},{0,27,52},{0,30,14340},{0,25,6449},{19,31,1709},{19,31,1709},{19,31,1709},{17,31,325},{28,12,4418},{11,31,1514},{11,31,1514},{0,27,52},{22,22,4418},{0,27,52},{31,27,365},{27,31,205},{26,31,1},{22,31,1},{31,27,365},{30,29,365},{22,31,1},{0,29,377},{30,29,365},{0,29,377},{8,0,8980},{8,0,8980},{8,0,8980},{8,0,8980},{2,31,1097},
{2,31,1097},{2,31,1097},{0,26,1},{0,20,4682},{0,20,4682},{11,31,65535},{8,31,58981},{5,31,29551},{4,31,19751},{10,31,65535},{5,31,43215},{2,31,6910},{1,30,686},{0,31,65535},{0,28,34909},{23,31,4502},{21,31,3011},{20,31,1973},{18,31,520},{31,17,7322},{17,31,4242},{13,31,1769},{0,29,314},{25,26,7322},{0,29,314},{12,31,16739},{12,31,16739},{12,31,16739},{10,31,11492},{8,31,13636},{5,31,5510},{5,31,5510},
{1,28,54},{0,31,14139},{0,26,6041},{20,31,1973},{20,31,1973},{20,31,1973},{18,31,520},{29,13,4418},{13,31,1769},{13,31,1769},{0,28,29},{28,20,4418},{0,28,29},{31,28,181},{28,31,97},{27,31,4},{25,31,0},{31,28,181},{31,29,181},{25,31,0},{0,30,185},{31,29,181},{0,30,185},{9,0,9248},{9,0,9248},{9,0,9248},{9,0,9248},{3,31,1348},{3,31,1348},{3,31,1348},{1,27,5},{0,21,4520},
{0,21,4520},{12,31,65535},{9,31,57270},{6,31,30345},{5,31,20521},{11,31,65535},{6,31,41449},{3,31,8015},{2,31,301},{0,31,65535},{0,28,28330},{24,31,4181},{22,31,3053},{21,31,2248},{20,31,772},{31,19,6584},{20,31,3941},{15,31,2041},{0,30,77},{27,26,6584},{0,30,77},{13,31,17289},{13,31,17289},{13,31,17289},{11,31,12050},{10,31,14315},{7,31,6389},{7,31,6389},{2,29,53},{0,31,13860},{0,28,5286},{21,31,2248},
{21,31,2248},{21,31,2248},{20,31,772},{29,16,4418},{15,31,2041},{15,31,2041},{0,30,13},{31,20,4418},{0,30,13},{30,31,50},{30,31,34},{29,31,0},{28,31,1},{30,31,50},{31,30,50},{28,31,1},{0,30,68},{31,30,50},{0,30,68},{10,0,9250},{10,0,9250},{10,0,9250},{10,0,9250},{4,31,1549},{4,31,1549},{4,31,1549},{2,28,2},{0,23,4114},{0,23,4114},{13,31,65535},{9,31,55894},{7,31,31068},
{6,31,21256},{12,31,65535},{8,31,39740},{4,31,9073},{3,31,90},{0,31,65535},{0,29,23356},{24,31,3973},{23,31,3125},{23,31,2500},{21,31,1037},{30,22,6019},{20,31,3701},{17,31,2340},{0,31,4},{27,27,6019},{0,31,4},{14,31,17796},{14,31,17796},{14,31,17796},{12,31,12625},{11,31,14957},{8,31,7139},{8,31,7139},{3,30,53},{0,31,14020},{0,29,4652},{23,31,2500},{23,31,2500},{23,31,2500},{21,31,1037},{30,17,4418},
{17,31,2340},{17,31,2340},{0,31,4},{25,25,4418},{0,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{31,31,4},{30,31,1},{0,31,4},{31,31,4},{0,31,4},{11,0,9250},{11,0,9250},{11,0,9250},{11,0,9250},{6,31,1765},{6,31,1765},{6,31,1765},{3,29,2},{0,25,3877},{0,25,3877},{13,31,65535},{10,31,53236},{8,31,30487},{7,31,21105},{13,31,65535},{8,31,37332},{5,31,9177},
{4,31,36},{1,31,65535},{0,29,18680},{25,31,3443},{24,31,2741},{23,31,2248},{22,31,980},{29,25,5163},{21,31,3218},{20,31,2117},{3,31,1},{30,26,5163},{3,31,1},{15,31,17289},{15,31,17289},{15,31,17289},{13,31,12512},{12,31,14328},{9,31,7149},{9,31,7149},{4,31,20},{0,31,13376},{0,29,3944},{23,31,2248},{23,31,2248},{23,31,2248},{22,31,980},{31,17,3872},{20,31,2117},{20,31,2117},{3,31,1},{25,26,3872},
{3,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{12,0,9248},{12,0,9248},{12,0,9248},{12,0,9248},{7,31,1972},{7,31,1972},{7,31,1972},{4,30,5},{0,27,3545},{0,27,3545},{14,31,65535},{11,31,50266},{9,31,29322},{8,31,20567},{13,31,65535},{9,31,35025},{6,31,8985},{5,31,21},{2,31,65535},{0,29,14712},{26,31,2873},
{25,31,2283},{24,31,1825},{22,31,820},{30,24,4267},{22,31,2657},{20,31,1685},{5,31,1},{29,27,4267},{5,31,1},{16,31,16427},{16,31,16427},{16,31,16427},{14,31,12185},{13,31,13442},{10,31,6915},{10,31,6915},{5,31,5},{1,31,12539},{0,30,3314},{24,31,1825},{24,31,1825},{24,31,1825},{22,31,820},{28,23,3200},{20,31,1685},{20,31,1685},{5,31,1},{28,25,3200},{5,31,1},{31,31,0},{31,31,0},{31,31,0},
{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{13,0,9248},{13,0,9248},{13,0,9248},{13,0,9248},{8,31,2250},{8,31,2250},{8,31,2250},{5,31,5},{0,28,3170},{0,28,3170},{15,31,65535},{12,31,47239},{10,31,28065},{9,31,20104},{14,31,65535},{10,31,32574},{7,31,8839},{6,31,54},{3,31,64890},{0,30,10964},{26,31,2252},{25,31,1806},{25,31,1445},{23,31,650},{30,25,3361},
{23,31,2091},{21,31,1322},{8,31,0},{30,27,3361},{8,31,0},{17,31,15584},{17,31,15584},{17,31,15584},{15,31,11846},{14,31,12522},{11,31,6697},{11,31,6697},{6,31,50},{3,31,11669},{0,31,2834},{25,31,1445},{25,31,1445},{25,31,1445},{23,31,650},{30,21,2521},{21,31,1322},{21,31,1322},{8,31,0},{31,24,2521},{8,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{14,0,9250},{14,0,9250},{14,0,9250},{14,0,9250},{9,31,2525},{9,31,2525},{9,31,2525},{6,31,50},{0,31,2834},{0,31,2834},{16,31,65535},{13,31,44559},{11,31,27000},{10,31,19705},{15,31,64179},{11,31,30525},{8,31,8677},{7,31,149},{3,31,60570},{0,30,8308},{27,31,1782},{26,31,1416},{25,31,1157},{24,31,520},{30,26,2646},{23,31,1691},{22,31,1040},{11,31,1},{31,27,2646},
{11,31,1},{18,31,14889},{18,31,14889},{18,31,14889},{16,31,11585},{15,31,11778},{12,31,6555},{12,31,6555},{7,31,145},{3,31,11061},{0,31,2610},{25,31,1157},{25,31,1157},{25,31,1157},{24,31,520},{31,21,1985},{22,31,1040},{22,31,1040},{11,31,1},{31,25,1985},{11,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{15,0,9250},
{15,0,9250},{15,0,9250},{15,0,9250},{10,31,2792},{10,31,2792},{10,31,2792},{7,31,145},{0,31,2610},{0,31,2610},{16,31,63318},{14,31,42019},{12,31,25930},{11,31,19324},{16,31,59178},{11,31,28845},{9,31,8605},{8,31,276},{6,31,56253},{0,30,6420},{27,31,1366},{27,31,1094},{26,31,872},{25,31,397},{30,27,2017},{25,31,1298},{23,31,794},{13,31,1},{30,28,2017},{13,31,1},{19,31,14244},{19,31,14244},{19,31,14244},
{17,31,11312},{16,31,11037},{13,31,6429},{13,31,6429},{8,31,260},{6,31,10457},{0,31,2642},{26,31,872},{26,31,872},{26,31,872},{25,31,397},{31,22,1513},{23,31,794},{23,31,794},{13,31,1},{29,27,1513},{13,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{16,0,9248},{16,0,9248},{16,0,9248},{16,0,9248},{12,31,3074},
{12,31,3074},{12,31,3074},{8,31,260},{0,31,2642},{0,31,2642},{17,31,58848},{15,31,39619},{13,31,24975},{12,31,19007},{16,31,54474},{13,31,27057},{10,31,8569},{9,31,461},{8,31,51302},{0,31,5046},{28,31,979},{27,31,806},{27,31,637},{26,31,292},{31,26,1473},{26,31,953},{24,31,605},{16,31,0},{29,29,1473},{16,31,0},{19,31,13604},{19,31,13604},{19,31,13604},{18,31,11057},{16,31,10429},{14,31,6339},{14,31,6339},
{10,31,424},{8,31,9713},{1,31,2900},{27,31,637},{27,31,637},{27,31,637},{26,31,292},{30,25,1105},{24,31,605},{24,31,605},{16,31,0},{30,27,1105},{16,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{17,0,9248},{17,0,9248},{17,0,9248},{17,0,9248},{12,31,3330},{12,31,3330},{12,31,3330},{10,31,424},{1,31,2900},
{1,31,2900},
/**** ended inlining basisu_transcoder_tables_atc_55.inc ****/
};
static const etc1s_to_atc_solution g_etc1s_to_atc_56[32 * 8 * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS * NUM_ETC1S_TO_ATC_SELECTOR_RANGES] = {
/**** start inlining basisu_transcoder_tables_atc_56.inc ****/
{0,3,20},{0,3,5},{0,2,1},{0,2,9},{0,2,35},{0,2,27},{0,1,17},{0,1,24},{0,1,41},{0,1,25},{0,3,20},{0,3,5},{0,2,1},{0,2,9},{0,2,35},{0,2,27},{0,1,17},{0,1,24},{1,0,35},{0,1,24},{0,1,1},{0,1,1},{0,1,1},{0,1,0},{0,1,2},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,1,0},{0,1,2},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{1,0,18},{0,3,5},{0,2,1},{0,2,9},{1,0,18},{1,1,18},{0,2,9},{0,1,20},{1,1,18},{0,1,20},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,9,54},{0,7,37},{0,4,52},
{0,4,36},{0,7,52},{0,5,21},{0,4,0},{0,3,21},{0,4,88},{0,3,37},{1,5,24},{1,5,9},{1,4,5},{1,4,13},{2,1,51},{0,5,21},{0,4,0},{0,3,21},{3,1,51},{0,3,21},{0,7,36},{0,7,36},{0,7,36},{0,4,36},{0,5,10},{0,4,0},{0,4,0},{0,2,5},{0,3,26},{0,2,14},{1,3,5},{1,3,5},{1,3,5},{1,3,4},{1,2,8},
{0,4,0},{0,4,0},{0,2,5},{2,1,8},{0,2,5},{2,2,18},{0,7,1},{1,4,1},{0,4,0},{2,2,18},{2,3,18},{0,4,0},{0,3,20},{2,3,18},{0,3,20},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,4,0},{0,4,0},{0,4,0},{0,2,1},{0,2,10},{0,2,10},{1,11,54},{1,9,37},{1,6,52},{1,6,36},{1,9,52},{1,7,21},{1,6,0},
{1,5,21},{0,7,63},{0,5,25},{2,7,24},{2,7,9},{2,6,5},{2,6,13},{3,3,51},{1,7,21},{1,6,0},{1,5,21},{4,3,51},{1,5,21},{1,9,36},{1,9,36},{1,9,36},{1,6,36},{1,7,10},{1,6,0},{1,6,0},{1,4,5},{0,6,11},{0,5,9},{2,5,5},{2,5,5},{2,5,5},{2,5,4},{3,1,8},{1,6,0},{1,6,0},{1,4,5},{3,3,8},
{1,4,5},{3,4,18},{1,9,1},{2,6,1},{1,6,0},{3,4,18},{7,0,18},{1,6,0},{0,5,20},{7,0,18},{0,5,20},{1,0,36},{1,0,36},{1,0,36},{1,0,36},{1,6,0},{1,6,0},{1,6,0},{1,4,1},{0,6,2},{0,6,2},{2,13,54},{2,11,37},{2,8,52},{2,8,36},{2,11,52},{2,9,21},{2,8,0},{2,7,21},{0,11,51},{1,7,25},{3,9,24},
{3,9,9},{3,8,5},{3,8,13},{5,1,51},{2,9,21},{2,8,0},{2,7,21},{9,0,51},{2,7,21},{2,11,36},{2,11,36},{2,11,36},{2,8,36},{2,9,10},{2,8,0},{2,8,0},{2,6,5},{1,8,11},{1,7,9},{3,7,5},{3,7,5},{3,7,5},{3,7,4},{3,6,8},{2,8,0},{2,8,0},{2,6,5},{8,0,8},{2,6,5},{4,6,18},{2,11,1},{3,8,1},
{2,8,0},{4,6,18},{8,2,18},{2,8,0},{0,7,20},{8,2,18},{0,7,20},{2,0,36},{2,0,36},{2,0,36},{2,0,36},{2,8,0},{2,8,0},{2,8,0},{2,6,1},{1,8,2},{1,8,2},{3,15,70},{3,13,51},{4,10,69},{3,10,52},{3,14,52},{3,12,25},{3,10,4},{3,9,27},{1,13,53},{2,10,26},{4,12,22},{4,11,12},{4,10,5},{4,10,9},{6,4,51},
{2,13,22},{3,10,3},{3,9,26},{11,1,51},{3,9,26},{3,13,51},{3,13,51},{3,13,51},{3,10,51},{3,12,9},{3,11,2},{3,11,2},{3,9,2},{2,11,9},{3,9,10},{4,10,4},{4,10,4},{4,10,4},{4,9,5},{6,2,8},{3,11,1},{3,11,1},{3,9,1},{11,0,8},{3,9,1},{7,2,18},{3,13,1},{4,10,1},{3,10,2},{7,2,18},{11,2,18},{3,10,2},
{0,9,26},{11,2,18},{0,9,26},{3,0,50},{3,0,50},{3,0,50},{3,0,50},{3,11,1},{3,11,1},{3,11,1},{3,9,1},{2,10,0},{2,10,0},{4,17,54},{4,15,36},{4,13,54},{4,12,38},{4,15,52},{4,14,24},{4,12,3},{4,11,26},{2,15,53},{3,12,26},{5,14,22},{5,13,12},{5,12,5},{5,12,9},{8,2,51},{3,15,22},{4,12,3},{4,11,26},{12,3,51},
{4,11,26},{4,15,36},{4,15,36},{4,15,36},{4,12,37},{4,14,8},{4,12,2},{4,12,2},{4,11,1},{3,13,9},{3,11,14},{5,12,4},{5,12,4},{5,12,4},{5,11,5},{8,0,8},{4,12,2},{4,12,2},{4,11,1},{11,3,8},{4,11,1},{9,0,18},{4,15,0},{5,12,1},{4,12,2},{9,0,18},{15,0,18},{4,12,2},{0,11,26},{15,0,18},{0,11,26},{4,0,36},
{4,0,36},{4,0,36},{4,0,36},{4,12,1},{4,12,1},{4,12,1},{4,11,0},{3,12,0},{3,12,0},{5,19,54},{5,17,37},{5,15,54},{5,14,38},{5,17,52},{5,15,27},{5,14,3},{5,13,26},{3,17,52},{4,14,26},{6,15,24},{6,15,12},{6,14,5},{6,14,9},{10,1,51},{4,17,21},{5,14,3},{5,13,26},{17,0,51},{5,13,26},{5,17,36},{5,17,36},{5,17,36},
{5,14,37},{5,15,10},{5,14,2},{5,14,2},{5,13,1},{4,15,12},{4,13,11},{6,14,4},{6,14,4},{6,14,4},{6,13,5},{9,2,8},{5,14,2},{5,14,2},{5,13,1},{16,0,8},{5,13,1},{10,2,18},{5,17,1},{6,14,1},{5,14,2},{10,2,18},{16,2,18},{5,14,2},{0,13,26},{16,2,18},{0,13,26},{5,0,36},{5,0,36},{5,0,36},{5,0,36},{5,14,1},
{5,14,1},{5,14,1},{5,13,0},{4,14,0},{4,14,0},{6,21,54},{6,19,37},{6,16,52},{6,16,36},{6,19,52},{6,17,21},{6,16,0},{6,15,26},{4,19,51},{5,15,36},{7,17,24},{7,17,9},{7,16,5},{7,16,13},{11,3,51},{6,17,21},{6,16,0},{6,15,26},{18,2,51},{6,15,26},{6,19,36},{6,19,36},{6,19,36},{6,16,36},{6,17,10},{6,16,0},{6,16,0},
{6,15,1},{5,16,11},{5,15,11},{7,15,5},{7,15,5},{7,15,5},{7,15,5},{11,1,8},{6,16,0},{6,16,0},{6,15,1},{17,2,8},{6,15,1},{11,4,18},{6,19,1},{7,16,1},{6,16,0},{11,4,18},{17,4,18},{6,16,0},{0,15,26},{17,4,18},{0,15,26},{6,0,36},{6,0,36},{6,0,36},{6,0,36},{6,16,0},{6,16,0},{6,16,0},{6,15,0},{5,16,2},
{5,16,2},{7,23,70},{7,21,51},{8,18,69},{7,18,52},{7,22,52},{7,20,25},{7,18,4},{7,17,27},{5,21,53},{6,18,26},{8,20,22},{8,19,12},{8,18,5},{8,18,9},{13,2,51},{6,21,22},{7,18,3},{7,17,26},{21,2,51},{7,17,26},{7,21,51},{7,21,51},{7,21,51},{7,18,51},{7,20,9},{7,19,2},{7,19,2},{7,17,2},{6,19,9},{7,17,10},{8,18,4},
{8,18,4},{8,18,4},{8,17,5},{13,0,8},{7,19,1},{7,19,1},{7,17,1},{20,2,8},{7,17,1},{14,0,18},{7,21,1},{8,18,1},{7,18,2},{14,0,18},{20,4,18},{7,18,2},{0,17,26},{20,4,18},{0,17,26},{7,0,50},{7,0,50},{7,0,50},{7,0,50},{7,19,1},{7,19,1},{7,19,1},{7,17,1},{6,18,0},{6,18,0},{8,25,54},{8,23,36},{8,21,54},
{8,20,38},{8,24,51},{8,22,24},{8,20,3},{8,19,26},{6,23,53},{7,20,26},{9,22,22},{9,21,12},{9,20,5},{9,20,9},{14,4,51},{7,23,22},{8,20,3},{8,19,26},{25,0,51},{8,19,26},{8,23,36},{8,23,36},{8,23,36},{8,20,37},{8,22,8},{8,20,2},{8,20,2},{8,19,1},{7,21,9},{7,19,14},{9,20,4},{9,20,4},{9,20,4},{9,19,5},{14,2,8},
{8,20,2},{8,20,2},{8,19,1},{24,0,8},{8,19,1},{15,2,18},{8,23,0},{9,20,1},{8,20,2},{15,2,18},{25,1,18},{8,20,2},{0,19,26},{25,1,18},{0,19,26},{8,0,36},{8,0,36},{8,0,36},{8,0,36},{8,20,1},{8,20,1},{8,20,1},{8,19,0},{7,20,0},{7,20,0},{9,27,54},{9,25,36},{9,23,54},{9,22,38},{9,26,51},{9,24,24},{9,22,3},
{9,21,26},{7,25,53},{8,22,26},{10,24,22},{10,23,12},{10,22,5},{10,22,9},{16,2,51},{8,25,19},{9,22,3},{9,21,26},{27,1,51},{9,21,26},{9,25,36},{9,25,36},{9,25,36},{9,22,37},{9,24,8},{9,22,2},{9,22,2},{9,21,1},{8,23,12},{8,21,11},{10,22,4},{10,22,4},{10,22,4},{10,21,5},{16,0,8},{9,22,2},{9,22,2},{9,21,1},{26,1,8},
{9,21,1},{17,0,18},{9,25,0},{10,22,1},{9,22,2},{17,0,18},{26,3,18},{9,22,2},{0,21,26},{26,3,18},{0,21,26},{9,0,36},{9,0,36},{9,0,36},{9,0,36},{9,22,1},{9,22,1},{9,22,1},{9,21,0},{8,22,0},{8,22,0},{10,29,54},{10,27,36},{10,25,54},{10,24,38},{10,28,51},{10,26,24},{10,24,3},{10,23,26},{8,27,52},{9,24,26},{11,26,22},
{11,25,12},{11,24,5},{11,24,9},{17,4,51},{9,27,19},{10,24,3},{10,23,26},{27,4,51},{10,23,26},{10,27,36},{10,27,36},{10,27,36},{10,24,37},{10,26,8},{10,24,2},{10,24,2},{10,23,1},{9,25,12},{9,23,11},{11,24,4},{11,24,4},{11,24,4},{11,23,5},{17,2,8},{10,24,2},{10,24,2},{10,23,1},{27,3,8},{10,23,1},{18,2,18},{10,27,0},{11,24,1},
{10,24,2},{18,2,18},{31,0,18},{10,24,2},{0,23,26},{31,0,18},{0,23,26},{10,0,36},{10,0,36},{10,0,36},{10,0,36},{10,24,1},{10,24,1},{10,24,1},{10,23,0},{9,24,0},{9,24,0},{11,31,70},{11,29,52},{11,27,70},{11,27,54},{11,30,53},{11,28,20},{11,27,5},{11,26,25},{10,28,56},{10,26,22},{12,28,22},{12,27,9},{12,26,8},{12,26,9},{19,3,51},
{11,28,19},{11,27,4},{10,26,21},{30,4,51},{10,26,21},{11,30,50},{11,30,50},{11,30,50},{11,27,50},{11,28,11},{11,27,1},{11,27,1},{11,25,2},{10,27,11},{11,25,10},{12,26,4},{12,26,4},{12,26,4},{12,25,5},{19,1,8},{11,27,0},{11,27,0},{11,25,1},{29,4,8},{11,25,1},{20,1,18},{11,29,2},{12,26,4},{11,27,4},{20,1,18},{29,6,18},{11,27,4},
{0,26,20},{29,6,18},{0,26,20},{11,0,50},{11,0,50},{11,0,50},{11,0,50},{11,27,1},{11,27,1},{11,27,1},{11,25,2},{10,26,2},{10,26,2},{12,33,54},{12,31,37},{12,29,56},{12,29,41},{12,32,51},{12,30,22},{12,29,5},{12,28,24},{11,30,56},{11,28,22},{13,30,22},{13,29,9},{13,28,8},{13,28,9},{20,5,51},{12,30,22},{12,29,5},{11,28,21},{31,6,51},
{11,28,21},{12,31,37},{12,31,37},{12,31,37},{12,29,37},{12,30,8},{12,29,1},{12,29,1},{12,27,0},{11,29,11},{12,27,9},{13,28,4},{13,28,4},{13,28,4},{13,27,5},{20,3,8},{12,29,1},{12,29,1},{12,27,0},{30,6,8},{12,27,0},{21,3,18},{12,31,1},{13,28,4},{13,28,5},{21,3,18},{30,8,18},{13,28,5},{0,28,20},{30,8,18},{0,28,20},{12,0,36},
{12,0,36},{12,0,36},{12,0,36},{12,29,0},{12,29,0},{12,29,0},{12,27,0},{11,28,2},{11,28,2},{13,35,54},{13,33,36},{13,31,56},{13,31,41},{13,34,51},{13,32,24},{13,31,5},{13,30,24},{11,33,53},{12,30,21},{14,32,22},{14,31,9},{14,30,8},{14,30,9},{23,0,51},{12,33,19},{13,31,5},{12,30,21},{31,9,51},{12,30,21},{13,33,36},{13,33,36},{13,33,36},
{13,31,37},{13,32,8},{13,31,1},{13,31,1},{13,29,0},{12,31,9},{13,29,9},{14,30,4},{14,30,4},{14,30,4},{14,29,5},{21,5,8},{13,31,1},{13,31,1},{13,29,0},{31,8,8},{13,29,0},{22,5,18},{13,33,0},{14,30,4},{14,30,5},{22,5,18},{31,10,18},{14,30,5},{0,30,20},{31,10,18},{0,30,20},{13,0,36},{13,0,36},{13,0,36},{13,0,36},{13,31,0},
{13,31,0},{13,31,0},{13,29,0},{12,30,1},{12,30,1},{14,37,54},{14,35,36},{14,33,54},{14,32,38},{14,36,51},{14,34,24},{14,32,3},{14,32,35},{12,35,52},{13,32,26},{15,34,22},{15,33,12},{15,32,5},{15,32,9},{24,2,51},{13,35,19},{14,32,3},{13,32,26},{27,17,51},{13,32,26},{14,35,36},{14,35,36},{14,35,36},{14,32,37},{14,34,8},{14,32,2},{14,32,2},
{14,31,0},{13,33,12},{14,31,9},{15,32,4},{15,32,4},{15,32,4},{15,31,5},{24,0,8},{14,32,2},{14,32,2},{14,31,0},{31,11,8},{14,31,0},{25,0,18},{14,35,0},{15,32,1},{14,32,2},{25,0,18},{31,13,18},{14,32,2},{0,32,26},{31,13,18},{0,32,26},{14,0,36},{14,0,36},{14,0,36},{14,0,36},{14,32,1},{14,32,1},{14,32,1},{14,31,0},{13,32,0},
{13,32,0},{15,40,68},{15,37,52},{15,35,70},{15,35,54},{15,38,53},{15,36,20},{15,35,5},{15,34,25},{14,36,56},{14,34,22},{16,36,22},{16,35,9},{16,34,8},{16,34,9},{26,1,51},{15,36,19},{15,35,4},{14,34,21},{30,17,51},{14,34,21},{15,38,50},{15,38,50},{15,38,50},{15,35,50},{15,36,11},{15,35,1},{15,35,1},{15,33,2},{14,35,11},{15,33,10},{16,34,4},
{16,34,4},{16,34,4},{16,33,5},{24,6,8},{15,35,0},{15,35,0},{15,33,1},{29,17,8},{15,33,1},{25,6,18},{15,37,2},{16,34,4},{15,35,4},{25,6,18},{29,19,18},{15,35,4},{0,34,20},{29,19,18},{0,34,20},{15,0,50},{15,0,50},{15,0,50},{15,0,50},{15,35,1},{15,35,1},{15,35,1},{15,33,2},{14,34,2},{14,34,2},{16,41,56},{16,39,37},{16,37,56},
{16,37,41},{16,40,51},{16,38,22},{16,37,5},{16,36,24},{15,38,56},{15,36,22},{17,38,22},{17,37,9},{17,36,8},{17,36,9},{27,3,51},{16,38,22},{16,37,5},{15,36,21},{31,19,51},{15,36,21},{16,39,37},{16,39,37},{16,39,37},{16,37,37},{16,38,8},{16,37,1},{16,37,1},{16,35,0},{15,37,11},{16,35,9},{17,36,4},{17,36,4},{17,36,4},{17,35,5},{27,1,8},
{16,37,1},{16,37,1},{16,35,0},{30,19,8},{16,35,0},{28,1,18},{16,39,1},{17,36,4},{17,36,5},{28,1,18},{30,21,18},{17,36,5},{0,36,20},{30,21,18},{0,36,20},{16,0,36},{16,0,36},{16,0,36},{16,0,36},{16,37,0},{16,37,0},{16,37,0},{16,35,0},{15,36,2},{15,36,2},{17,43,56},{17,41,37},{17,39,56},{17,39,41},{17,42,51},{17,40,22},{17,39,5},
{17,38,24},{15,42,56},{16,38,21},{18,40,22},{18,39,9},{18,38,8},{18,38,9},{28,5,51},{17,40,22},{17,39,5},{16,38,21},{31,22,51},{16,38,21},{17,41,37},{17,41,37},{17,41,37},{17,39,37},{17,40,8},{17,39,1},{17,39,1},{17,37,0},{16,39,9},{17,37,9},{18,38,4},{18,38,4},{18,38,4},{18,37,5},{28,3,8},{17,39,1},{17,39,1},{17,37,0},{31,21,8},
{17,37,0},{29,3,18},{17,41,1},{18,38,4},{18,38,5},{29,3,18},{31,23,18},{18,38,5},{0,38,20},{31,23,18},{0,38,20},{17,0,36},{17,0,36},{17,0,36},{17,0,36},{17,39,0},{17,39,0},{17,39,0},{17,37,0},{16,38,1},{16,38,1},{18,45,56},{18,43,37},{18,41,56},{18,41,41},{18,44,51},{18,42,22},{18,41,5},{18,40,24},{16,43,53},{17,40,21},{19,42,22},
{19,41,9},{19,40,8},{19,40,9},{31,0,51},{18,42,22},{18,41,5},{17,40,21},{28,29,51},{17,40,21},{18,43,37},{18,43,37},{18,43,37},{18,41,37},{18,42,8},{18,41,1},{18,41,1},{18,39,0},{17,41,9},{18,39,9},{19,40,4},{19,40,4},{19,40,4},{19,39,5},{29,5,8},{18,41,1},{18,41,1},{18,39,0},{31,24,8},{18,39,0},{30,5,18},{18,43,1},{19,40,4},
{19,40,5},{30,5,18},{31,26,18},{19,40,5},{0,40,20},{31,26,18},{0,40,20},{18,0,36},{18,0,36},{18,0,36},{18,0,36},{18,41,0},{18,41,0},{18,41,0},{18,39,0},{17,40,1},{17,40,1},{19,48,68},{19,46,51},{20,43,70},{19,43,51},{19,47,52},{19,44,22},{19,43,3},{19,42,20},{17,46,51},{18,42,23},{20,44,24},{20,44,8},{20,43,6},{20,42,14},{31,6,51},
{19,44,21},{19,43,2},{19,42,19},{31,29,51},{19,42,19},{19,46,50},{19,46,50},{19,46,50},{19,43,50},{19,45,9},{19,43,2},{19,43,2},{19,41,3},{18,43,10},{19,41,6},{20,42,5},{20,42,5},{20,42,5},{20,42,5},{31,4,8},{19,43,1},{19,43,1},{19,41,2},{30,29,8},{19,41,2},{30,11,18},{19,46,1},{20,43,2},{19,43,1},{30,11,18},{30,31,18},{19,43,1},
{0,42,18},{30,31,18},{0,42,18},{19,0,50},{19,0,50},{19,0,50},{19,0,50},{19,43,2},{19,43,2},{19,43,2},{19,41,2},{18,43,1},{18,43,1},{20,49,56},{20,47,38},{20,45,53},{20,45,37},{20,48,51},{20,46,19},{20,45,1},{20,44,22},{18,48,56},{19,44,23},{21,46,24},{21,46,8},{21,45,6},{21,44,14},{30,15,51},{20,46,19},{20,45,1},{19,44,22},{31,32,51},
{19,44,22},{20,47,37},{20,47,37},{20,47,37},{20,45,36},{20,46,10},{20,45,0},{20,45,0},{20,43,2},{19,45,10},{20,43,11},{21,44,5},{21,44,5},{21,44,5},{21,44,5},{30,13,8},{20,45,0},{20,45,0},{20,43,2},{31,31,8},{20,43,2},{31,13,18},{20,47,2},{21,45,2},{20,45,1},{31,13,18},{30,34,18},{20,45,1},{0,44,18},{30,34,18},{0,44,18},{20,0,36},
{20,0,36},{20,0,36},{20,0,36},{20,45,0},{20,45,0},{20,45,0},{20,43,1},{19,45,1},{19,45,1},{21,51,56},{21,49,37},{21,47,53},{21,47,37},{21,50,51},{21,48,22},{21,47,1},{21,46,22},{19,50,56},{20,46,20},{22,48,22},{22,48,13},{22,47,6},{22,46,14},{30,20,51},{21,48,22},{21,47,1},{20,46,19},{31,35,51},{20,46,19},{21,49,37},{21,49,37},{21,49,37},
{21,47,36},{21,48,8},{21,47,0},{21,47,0},{21,45,2},{20,47,11},{21,45,11},{22,46,5},{22,46,5},{22,46,5},{22,46,5},{31,15,8},{21,47,0},{21,47,0},{21,45,2},{31,34,8},{21,45,2},{31,18,18},{21,49,1},{22,47,2},{21,47,1},{31,18,18},{31,36,18},{21,47,1},{0,46,18},{31,36,18},{0,46,18},{21,0,36},{21,0,36},{21,0,36},{21,0,36},{21,47,0},
{21,47,0},{21,47,0},{21,45,1},{20,46,2},{20,46,2},{22,53,56},{22,51,37},{22,49,56},{22,49,41},{22,52,51},{22,50,22},{22,49,5},{22,48,24},{20,51,53},{21,48,21},{23,50,22},{23,49,9},{23,48,8},{23,48,9},{31,22,51},{22,50,22},{22,49,5},{21,48,21},{28,42,51},{21,48,21},{22,51,37},{22,51,37},{22,51,37},{22,49,37},{22,50,8},{22,49,1},{22,49,1},
{22,47,2},{21,49,9},{22,47,11},{23,48,4},{23,48,4},{23,48,4},{23,48,5},{31,20,8},{22,49,1},{22,49,1},{22,47,2},{31,37,8},{22,47,2},{31,23,18},{22,51,1},{23,48,4},{23,48,5},{31,23,18},{31,39,18},{23,48,5},{0,48,20},{31,39,18},{0,48,20},{22,0,36},{22,0,36},{22,0,36},{22,0,36},{22,49,0},{22,49,0},{22,49,0},{22,47,1},{21,48,1},
{21,48,1},{23,56,68},{23,54,51},{24,51,70},{23,51,51},{23,55,52},{23,52,22},{23,51,3},{23,50,20},{21,54,51},{22,50,23},{24,52,24},{24,52,8},{24,51,6},{24,50,14},{31,28,51},{23,52,21},{23,51,2},{23,50,19},{31,42,51},{23,50,19},{23,54,50},{23,54,50},{23,54,50},{23,51,50},{23,53,9},{23,51,2},{23,51,2},{23,49,3},{22,51,10},{23,49,6},{24,50,5},
{24,50,5},{24,50,5},{24,50,5},{31,26,8},{23,51,1},{23,51,1},{23,49,2},{30,42,8},{23,49,2},{31,29,18},{23,54,1},{24,51,2},{23,51,1},{31,29,18},{30,44,18},{23,51,1},{0,50,18},{30,44,18},{0,50,18},{23,0,50},{23,0,50},{23,0,50},{23,0,50},{23,51,2},{23,51,2},{23,51,2},{23,49,2},{22,51,1},{22,51,1},{24,58,54},{24,55,38},{24,53,53},
{24,53,37},{24,56,52},{24,54,19},{24,53,1},{24,52,22},{22,56,51},{23,52,23},{25,54,24},{25,54,8},{25,53,6},{25,52,14},{31,33,51},{24,54,19},{24,53,1},{23,52,22},{31,45,51},{23,52,22},{24,56,36},{24,56,36},{24,56,36},{24,53,36},{24,54,10},{24,53,0},{24,53,0},{24,51,2},{23,53,10},{24,51,11},{25,52,5},{25,52,5},{25,52,5},{25,52,5},{31,31,8},
{24,53,0},{24,53,0},{24,51,2},{31,44,8},{24,51,2},{31,34,18},{24,55,2},{25,53,2},{24,53,1},{31,34,18},{31,46,18},{24,53,1},{0,52,18},{31,46,18},{0,52,18},{24,0,36},{24,0,36},{24,0,36},{24,0,36},{24,53,0},{24,53,0},{24,53,0},{24,51,1},{23,53,1},{23,53,1},{25,60,54},{25,57,38},{25,55,53},{25,55,37},{25,58,52},{25,56,19},{25,55,1},
{25,54,22},{23,58,51},{24,54,20},{26,56,24},{26,56,8},{26,55,6},{26,54,14},{31,38,51},{25,56,19},{25,55,1},{24,54,19},{31,48,51},{24,54,19},{25,58,36},{25,58,36},{25,58,36},{25,55,36},{25,56,10},{25,55,0},{25,55,0},{25,53,2},{24,55,11},{25,53,11},{26,54,5},{26,54,5},{26,54,5},{26,54,5},{31,36,8},{25,55,0},{25,55,0},{25,53,2},{31,47,8},
{25,53,2},{30,43,18},{25,57,2},{26,55,2},{25,55,1},{30,43,18},{30,50,18},{25,55,1},{0,54,18},{30,50,18},{0,54,18},{25,0,36},{25,0,36},{25,0,36},{25,0,36},{25,55,0},{25,55,0},{25,55,0},{25,53,1},{24,54,2},{24,54,2},{26,62,54},{26,59,38},{26,57,53},{26,57,37},{26,60,52},{26,58,19},{26,57,1},{26,56,22},{25,58,56},{25,56,20},{27,58,24},
{27,58,8},{27,57,6},{27,56,14},{30,47,51},{26,58,19},{26,57,1},{25,56,19},{31,51,51},{25,56,19},{26,60,36},{26,60,36},{26,60,36},{26,57,36},{26,58,10},{26,57,0},{26,57,0},{26,55,2},{25,57,11},{26,55,11},{27,56,5},{27,56,5},{27,56,5},{27,56,5},{30,45,8},{26,57,0},{26,57,0},{26,55,2},{31,50,8},{26,55,2},{31,45,18},{26,59,2},{27,57,2},
{26,57,1},{31,45,18},{31,52,18},{26,57,1},{0,56,18},{31,52,18},{0,56,18},{26,0,36},{26,0,36},{26,0,36},{26,0,36},{26,57,0},{26,57,0},{26,57,0},{26,55,1},{25,56,2},{25,56,2},{27,63,76},{27,62,52},{28,59,69},{27,59,51},{27,63,52},{27,60,21},{27,59,3},{27,58,22},{25,62,52},{26,58,28},{28,60,24},{28,60,9},{28,59,5},{28,59,13},{31,49,51},
{27,60,20},{27,59,2},{27,58,21},{30,56,51},{27,58,21},{27,62,51},{27,62,51},{27,62,51},{27,59,51},{27,61,9},{27,59,3},{27,59,3},{27,58,6},{26,60,11},{27,57,12},{28,58,5},{28,58,5},{28,58,5},{28,58,4},{29,54,8},{27,59,2},{27,59,2},{27,58,5},{29,56,8},{27,58,5},{30,54,18},{27,62,2},{28,59,1},{27,59,1},{30,54,18},{29,58,18},{27,59,1},
{0,58,20},{29,58,18},{0,58,20},{27,0,50},{27,0,50},{27,0,50},{27,0,50},{27,60,1},{27,60,1},{27,60,1},{27,58,2},{26,59,0},{26,59,0},{28,63,86},{28,63,38},{28,61,52},{28,61,36},{28,63,59},{28,62,21},{28,61,0},{28,60,21},{27,62,60},{27,60,28},{29,62,24},{29,62,9},{29,61,5},{29,61,13},{30,58,51},{28,62,21},{28,61,0},{28,60,21},{31,58,51},
{28,60,21},{28,63,37},{28,63,37},{28,63,37},{28,61,36},{28,62,10},{28,61,0},{28,61,0},{28,59,5},{27,62,11},{27,60,12},{29,60,5},{29,60,5},{29,60,5},{29,60,4},{30,56,8},{28,61,0},{28,61,0},{28,59,5},{30,58,8},{28,59,5},{31,56,18},{28,63,2},{29,61,1},{28,61,0},{31,56,18},{30,60,18},{28,61,0},{0,60,20},{30,60,18},{0,60,20},{28,0,36},
{28,0,36},{28,0,36},{28,0,36},{28,61,0},{28,61,0},{28,61,0},{28,59,1},{27,61,0},{27,61,0},{30,63,94},{30,63,78},{29,63,52},{29,63,36},{30,63,115},{29,63,36},{29,63,0},{29,62,21},{29,63,88},{28,62,25},{30,63,30},{30,63,14},{30,63,5},{30,63,13},{31,60,51},{29,63,36},{29,63,0},{29,62,21},{31,61,51},{29,62,21},{29,63,52},{29,63,52},{29,63,52},
{29,63,36},{29,63,16},{29,63,0},{29,63,0},{29,61,5},{28,63,11},{28,62,9},{30,62,5},{30,62,5},{30,62,5},{30,62,4},{31,58,8},{29,63,0},{29,63,0},{29,61,5},{31,60,8},{29,61,5},{31,61,18},{30,63,10},{30,63,1},{29,63,0},{31,61,18},{31,62,18},{29,63,0},{0,62,20},{31,62,18},{0,62,20},{29,0,36},{29,0,36},{29,0,36},{29,0,36},{29,63,0},
{29,63,0},{29,63,0},{29,61,1},{28,63,2},{28,63,2},{31,63,68},{31,63,68},{30,63,61},{30,63,45},{30,63,59},{30,63,27},{30,63,18},{30,63,1},{30,63,28},{30,63,10},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{30,63,1},{31,63,4},{30,63,1},{30,63,61},{30,63,61},{30,63,61},{30,63,45},{30,63,34},{30,63,18},{30,63,18},
{30,63,1},{30,63,19},{30,63,10},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{31,62,4},{31,63,4},{31,63,4},{30,63,1},{31,63,4},{30,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{30,0,36},{30,0,36},{30,0,36},{30,0,36},{30,63,9},{30,63,9},{30,63,9},{30,63,1},{30,63,10},
{30,63,10},{0,7,74},{0,6,20},{0,4,2},{0,4,26},{0,5,153},{0,4,110},{0,3,45},{0,2,115},{0,3,169},{0,2,124},{0,7,74},{0,6,20},{0,4,2},{0,4,26},{0,5,153},{0,4,110},{0,3,45},{0,2,115},{0,3,153},{0,2,115},{0,3,1},{0,3,1},{0,3,1},{0,2,0},{0,2,13},{0,2,9},{0,2,9},{0,1,5},{0,1,14},{0,1,6},{0,3,1},
{0,3,1},{0,3,1},{0,2,0},{0,2,13},{0,2,9},{0,2,9},{0,1,5},{1,0,13},{0,1,5},{2,1,72},{0,6,20},{0,4,2},{0,4,26},{2,1,72},{3,1,72},{0,4,26},{0,3,74},{3,1,72},{0,3,74},{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},{0,13,81},{0,10,13},{0,6,26},
{0,6,14},{0,9,244},{0,7,129},{0,6,41},{0,4,139},{0,5,300},{0,4,175},{0,13,81},{0,10,13},{0,6,26},{0,6,14},{2,3,243},{0,7,129},{0,6,41},{0,4,139},{4,1,243},{0,4,139},{0,9,9},{0,9,9},{0,9,9},{0,5,10},{0,5,52},{0,5,17},{0,5,17},{0,3,17},{0,3,68},{0,3,33},{0,9,9},{0,9,9},{0,9,9},{0,5,10},{1,2,50},
{0,5,17},{0,5,17},{0,3,17},{2,1,50},{0,3,17},{3,3,72},{0,10,4},{1,6,2},{0,6,5},{3,3,72},{4,3,72},{0,6,5},{0,5,74},{4,3,72},{0,5,74},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,2},{0,1,2},{1,15,145},{1,12,77},{1,8,90},{1,8,78},{0,15,243},{0,10,96},{0,8,3},
{0,6,106},{0,8,395},{0,6,187},{1,15,81},{1,12,13},{1,8,26},{1,8,14},{4,1,243},{0,10,96},{0,8,3},{0,6,106},{5,3,243},{0,6,106},{1,11,73},{1,11,73},{1,11,73},{1,7,74},{0,11,50},{0,8,2},{0,8,2},{0,5,2},{0,5,131},{0,5,51},{1,11,9},{1,11,9},{1,11,9},{1,7,10},{3,1,50},{0,8,2},{0,8,2},{0,5,2},{3,3,50},
{0,5,2},{5,1,72},{1,12,4},{2,8,2},{0,8,2},{5,1,72},{9,0,72},{0,8,2},{0,7,74},{9,0,72},{0,7,74},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,7,1},{0,7,1},{0,7,1},{0,4,1},{0,3,32},{0,3,32},{2,17,162},{2,14,94},{2,10,107},{2,10,95},{1,17,244},{1,12,97},{1,10,4},{1,8,107},{0,11,345},{0,8,116},{2,17,81},
{2,14,13},{2,10,26},{2,10,14},{6,0,243},{0,14,76},{1,10,3},{0,9,83},{10,0,243},{0,9,83},{2,13,90},{2,13,90},{2,13,90},{2,9,91},{1,13,51},{1,10,3},{1,10,3},{1,7,3},{0,9,94},{0,7,14},{2,13,9},{2,13,9},{2,13,9},{2,9,10},{3,6,50},{1,10,2},{1,10,2},{1,7,2},{8,0,50},{1,7,2},{7,0,72},{2,14,4},{3,10,2},
{1,10,2},{7,0,72},{10,2,72},{1,10,2},{0,9,74},{10,2,72},{0,9,74},{2,0,90},{2,0,90},{2,0,90},{2,0,90},{1,9,2},{1,9,2},{1,9,2},{1,6,2},{0,7,13},{0,7,13},{3,19,154},{3,16,82},{3,13,100},{3,12,85},{2,19,244},{2,15,90},{2,13,5},{2,11,97},{0,15,287},{0,11,73},{3,19,90},{3,16,18},{4,12,29},{3,12,21},{6,6,243},
{1,16,75},{2,13,5},{0,11,73},{12,1,243},{0,11,73},{3,15,81},{3,15,81},{3,15,81},{3,12,81},{2,15,52},{2,13,1},{2,13,1},{2,9,4},{0,13,61},{0,10,14},{3,15,17},{3,15,17},{3,15,17},{3,12,17},{6,2,50},{2,13,1},{2,13,1},{2,9,4},{11,0,50},{2,9,4},{8,2,72},{3,16,2},{4,12,4},{2,13,4},{8,2,72},{12,3,72},{2,13,4},
{0,11,72},{12,3,72},{0,11,72},{3,0,80},{3,0,80},{3,0,80},{3,0,80},{2,12,0},{2,12,0},{2,12,0},{2,9,0},{0,11,1},{0,11,1},{4,21,162},{4,18,94},{4,15,103},{4,14,95},{3,21,244},{3,17,88},{3,15,5},{3,13,97},{0,18,260},{1,13,73},{4,21,81},{4,18,13},{4,15,22},{4,14,14},{9,1,243},{2,18,75},{3,15,5},{1,13,73},{13,3,243},
{1,13,73},{4,17,90},{4,17,90},{4,17,90},{4,14,91},{3,17,52},{3,15,1},{3,15,1},{3,11,4},{0,16,52},{1,12,14},{4,17,9},{4,17,9},{4,17,9},{4,14,10},{8,0,50},{3,15,1},{3,15,1},{3,11,4},{11,3,50},{3,11,4},{10,1,72},{3,20,2},{5,14,4},{3,15,4},{10,1,72},{17,0,72},{3,15,4},{0,13,72},{17,0,72},{0,13,72},{4,0,90},
{4,0,90},{4,0,90},{4,0,90},{3,14,0},{3,14,0},{3,14,0},{3,11,0},{1,13,1},{1,13,1},{5,23,162},{5,20,94},{5,16,107},{5,16,95},{4,23,244},{4,18,97},{4,16,4},{4,15,98},{0,22,244},{2,15,73},{5,23,81},{5,20,13},{5,16,26},{5,16,14},{10,3,243},{3,20,75},{4,16,3},{2,15,73},{18,0,243},{2,15,73},{5,19,90},{5,19,90},{5,19,90},
{5,15,94},{4,19,51},{4,16,3},{4,16,3},{4,13,5},{1,18,52},{2,14,14},{5,19,9},{5,19,9},{5,19,9},{5,15,13},{9,2,50},{4,16,2},{4,16,2},{4,13,4},{16,0,50},{4,13,4},{11,3,72},{5,20,4},{6,16,2},{4,16,2},{11,3,72},{18,2,72},{4,16,2},{0,15,72},{18,2,72},{0,15,72},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{4,15,2},
{4,15,2},{4,15,2},{4,13,1},{2,15,1},{2,15,1},{6,25,162},{6,22,94},{6,18,107},{6,18,95},{5,25,244},{5,20,97},{5,18,4},{5,16,107},{1,24,244},{3,17,74},{6,25,81},{6,22,13},{6,18,26},{6,18,14},{12,1,243},{3,24,75},{5,18,3},{3,17,74},{19,2,243},{3,17,74},{6,21,90},{6,21,90},{6,21,90},{6,17,91},{5,21,51},{5,18,3},{5,18,3},
{5,15,5},{2,20,52},{3,16,19},{6,21,9},{6,21,9},{6,21,9},{6,17,10},{11,1,50},{5,18,2},{5,18,2},{5,15,4},{17,2,50},{5,15,4},{13,1,72},{6,22,4},{7,18,2},{5,18,2},{13,1,72},{19,4,72},{5,18,2},{0,17,74},{19,4,72},{0,17,74},{6,0,90},{6,0,90},{6,0,90},{6,0,90},{5,17,2},{5,17,2},{5,17,2},{5,15,1},{3,17,0},
{3,17,0},{7,27,154},{7,24,82},{7,21,100},{7,20,85},{6,27,244},{6,23,90},{6,21,5},{6,19,97},{2,26,244},{4,19,73},{7,27,90},{7,24,18},{8,20,29},{7,20,21},{13,4,243},{5,24,75},{6,21,5},{4,19,73},{22,2,243},{4,19,73},{7,23,81},{7,23,81},{7,23,81},{7,20,81},{6,23,52},{6,21,1},{6,21,1},{6,17,4},{3,23,52},{4,18,14},{7,23,17},
{7,23,17},{7,23,17},{7,20,17},{13,0,50},{6,21,1},{6,21,1},{6,17,4},{20,2,50},{6,17,4},{14,4,72},{7,24,2},{8,20,4},{6,21,4},{14,4,72},{25,0,72},{6,21,4},{0,19,72},{25,0,72},{0,19,72},{7,0,80},{7,0,80},{7,0,80},{7,0,80},{6,20,0},{6,20,0},{6,20,0},{6,17,0},{4,19,1},{4,19,1},{8,29,162},{8,26,92},{8,23,103},
{8,22,95},{7,29,244},{7,25,90},{7,23,5},{7,21,97},{3,28,244},{5,21,73},{8,29,81},{8,26,11},{8,23,22},{8,22,14},{14,6,243},{6,26,75},{7,23,5},{5,21,73},{26,0,243},{5,21,73},{8,25,90},{8,25,90},{8,25,90},{8,22,91},{7,25,52},{7,23,1},{7,23,1},{7,19,4},{4,24,52},{5,20,14},{8,25,9},{8,25,9},{8,25,9},{8,22,10},{14,2,50},
{7,23,1},{7,23,1},{7,19,4},{24,0,50},{7,19,4},{16,2,72},{8,26,2},{9,22,4},{7,23,4},{16,2,72},{27,1,72},{7,23,4},{0,21,72},{27,1,72},{0,21,72},{8,0,90},{8,0,90},{8,0,90},{8,0,90},{7,22,0},{7,22,0},{7,22,0},{7,19,0},{5,21,1},{5,21,1},{9,31,162},{9,28,92},{9,25,103},{9,24,95},{8,31,244},{8,26,100},{8,24,9},
{8,23,98},{4,30,244},{6,23,73},{9,31,81},{9,28,11},{9,25,22},{9,24,14},{16,4,243},{7,28,75},{8,24,8},{6,23,73},{27,2,243},{6,23,73},{9,27,90},{9,27,90},{9,27,90},{9,24,91},{8,27,51},{8,24,5},{8,24,5},{8,21,5},{5,26,52},{6,22,14},{9,27,9},{9,27,9},{9,27,9},{9,24,10},{16,0,50},{8,24,4},{8,24,4},{8,21,4},{26,1,50},
{8,21,4},{17,4,72},{9,28,2},{10,24,4},{8,25,4},{17,4,72},{27,4,72},{8,25,4},{0,23,72},{27,4,72},{0,23,72},{9,0,90},{9,0,90},{9,0,90},{9,0,90},{8,24,1},{8,24,1},{8,24,1},{8,21,1},{6,23,1},{6,23,1},{10,33,162},{10,30,92},{10,27,103},{10,26,95},{9,33,244},{9,28,100},{9,26,9},{9,25,98},{5,32,244},{7,25,73},{10,33,81},
{10,30,11},{10,27,22},{10,26,14},{17,6,243},{8,30,75},{9,26,8},{7,25,73},{28,4,243},{7,25,73},{10,29,90},{10,29,90},{10,29,90},{10,26,91},{9,29,51},{9,26,5},{9,26,5},{9,23,5},{6,28,52},{7,24,14},{10,29,9},{10,29,9},{10,29,9},{10,26,10},{17,2,50},{9,26,4},{9,26,4},{9,23,4},{27,3,50},{9,23,4},{18,6,72},{10,30,2},{11,26,4},
{9,27,4},{18,6,72},{28,6,72},{9,27,4},{0,25,72},{28,6,72},{0,25,72},{10,0,90},{10,0,90},{10,0,90},{10,0,90},{9,26,1},{9,26,1},{9,26,1},{9,23,1},{7,25,1},{7,25,1},{11,35,154},{11,32,82},{11,29,97},{11,29,85},{10,35,244},{10,31,96},{10,29,3},{10,27,90},{6,34,244},{8,27,78},{11,35,90},{11,32,18},{12,29,27},{11,29,21},{19,5,243},
{9,32,75},{10,29,3},{9,27,75},{31,4,243},{9,27,75},{11,31,81},{11,31,81},{11,31,81},{11,28,80},{10,31,52},{10,29,2},{10,29,2},{10,26,5},{7,31,50},{9,26,11},{11,31,17},{11,31,17},{11,31,17},{11,28,16},{19,1,50},{10,29,2},{10,29,2},{9,26,2},{29,4,50},{9,26,2},{20,5,72},{11,32,2},{12,29,2},{10,29,2},{20,5,72},{31,6,72},{10,29,2},
{0,27,74},{31,6,72},{0,27,74},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{10,28,1},{10,28,1},{10,28,1},{10,25,1},{8,28,2},{8,28,2},{12,37,162},{12,34,92},{12,31,107},{12,30,99},{11,37,244},{11,33,90},{11,31,3},{11,29,90},{7,36,244},{9,29,78},{12,37,81},{12,34,11},{12,31,26},{12,30,18},{22,0,243},{10,34,75},{11,31,3},{10,29,75},{31,7,243},
{10,29,75},{12,33,90},{12,33,90},{12,33,90},{12,30,90},{11,33,52},{11,31,2},{11,31,2},{11,28,5},{8,32,52},{10,28,11},{12,33,9},{12,33,9},{12,33,9},{12,30,9},{20,3,50},{11,31,2},{11,31,2},{10,28,2},{30,6,50},{10,28,2},{23,0,72},{12,34,2},{13,31,2},{11,31,2},{23,0,72},{31,9,72},{11,31,2},{0,29,74},{31,9,72},{0,29,74},{12,0,90},
{12,0,90},{12,0,90},{12,0,90},{11,30,1},{11,30,1},{11,30,1},{11,27,1},{9,30,2},{9,30,2},{13,39,162},{13,36,92},{13,33,103},{13,32,95},{12,39,244},{12,34,100},{12,32,9},{12,31,100},{8,38,244},{10,31,78},{13,39,81},{13,36,11},{13,33,22},{13,32,14},{23,2,243},{11,36,75},{12,32,8},{11,31,75},{28,14,243},{11,31,75},{13,35,90},{13,35,90},{13,35,90},
{13,32,91},{12,35,51},{12,32,5},{12,32,5},{12,30,6},{9,34,52},{11,30,11},{13,35,9},{13,35,9},{13,35,9},{13,32,10},{21,5,50},{12,32,4},{12,32,4},{11,30,2},{31,8,50},{11,30,2},{24,2,72},{13,36,2},{14,32,4},{12,33,4},{24,2,72},{27,17,72},{12,33,4},{0,31,74},{27,17,72},{0,31,74},{13,0,90},{13,0,90},{13,0,90},{13,0,90},{12,32,1},
{12,32,1},{12,32,1},{12,29,1},{10,31,4},{10,31,4},{14,41,162},{14,38,92},{14,35,103},{14,34,95},{13,41,244},{13,36,100},{13,34,9},{13,33,98},{9,40,244},{11,33,73},{14,41,81},{14,38,11},{14,35,22},{14,34,14},{24,4,243},{12,38,75},{13,34,8},{11,33,73},{28,17,243},{11,33,73},{14,37,90},{14,37,90},{14,37,90},{14,34,91},{13,37,51},{13,34,5},{13,34,5},
{13,31,10},{10,36,52},{11,32,14},{14,37,9},{14,37,9},{14,37,9},{14,34,10},{24,0,50},{13,34,4},{13,34,4},{12,32,4},{31,11,50},{12,32,4},{25,4,72},{14,38,2},{15,34,4},{13,35,4},{25,4,72},{28,19,72},{13,35,4},{0,33,72},{28,19,72},{0,33,72},{14,0,90},{14,0,90},{14,0,90},{14,0,90},{13,34,1},{13,34,1},{13,34,1},{13,31,1},{11,33,1},
{11,33,1},{15,44,152},{15,40,84},{15,37,97},{15,37,85},{14,44,243},{14,39,96},{14,37,3},{14,35,90},{10,42,244},{12,35,78},{15,44,88},{15,40,20},{16,37,27},{15,37,21},{27,0,243},{13,41,76},{14,37,3},{13,35,75},{31,17,243},{13,35,75},{15,40,80},{15,40,80},{15,40,80},{15,36,80},{14,40,50},{14,37,2},{14,37,2},{14,34,5},{11,39,50},{13,34,11},{15,40,16},
{15,40,16},{15,40,16},{15,36,16},{24,6,50},{14,37,2},{14,37,2},{13,34,2},{29,17,50},{13,34,2},{27,3,72},{15,40,4},{16,37,2},{14,37,2},{27,3,72},{31,19,72},{14,37,2},{0,35,74},{31,19,72},{0,35,74},{15,0,80},{15,0,80},{15,0,80},{15,0,80},{14,36,1},{14,36,1},{14,36,1},{14,33,1},{12,36,2},{12,36,2},{16,45,164},{16,42,95},{16,39,107},
{16,38,99},{15,46,243},{15,41,96},{15,39,3},{15,37,90},{11,44,244},{13,37,78},{16,45,83},{16,42,14},{16,39,26},{16,38,18},{27,5,243},{14,43,76},{15,39,3},{14,37,75},{31,20,243},{14,37,75},{16,41,91},{16,41,91},{16,41,91},{16,38,90},{15,42,50},{15,39,2},{15,39,2},{15,36,5},{12,41,51},{14,36,11},{16,41,10},{16,41,10},{16,41,10},{16,38,9},{27,1,50},
{15,39,2},{15,39,2},{14,36,2},{30,19,50},{14,36,2},{28,5,72},{15,44,4},{17,39,2},{15,39,2},{28,5,72},{31,22,72},{15,39,2},{0,37,74},{31,22,72},{0,37,74},{16,0,90},{16,0,90},{16,0,90},{16,0,90},{15,38,1},{15,38,1},{15,38,1},{15,35,1},{13,38,2},{13,38,2},{17,47,164},{17,44,95},{17,41,107},{17,40,99},{16,47,245},{16,43,91},{16,41,3},
{16,39,100},{12,46,244},{14,39,78},{17,47,83},{17,44,14},{17,41,26},{17,40,18},{30,0,243},{15,45,76},{16,41,2},{15,39,75},{28,27,243},{15,39,75},{17,43,91},{17,43,91},{17,43,91},{17,40,90},{16,43,53},{16,41,2},{16,41,2},{16,38,6},{13,43,51},{15,38,11},{17,43,10},{17,43,10},{17,43,10},{17,40,9},{28,3,50},{16,41,1},{16,41,1},{15,38,2},{31,21,50},
{15,38,2},{31,0,72},{16,46,1},{18,41,2},{16,41,1},{31,0,72},{28,29,72},{16,41,1},{0,39,74},{28,29,72},{0,39,74},{17,0,90},{17,0,90},{17,0,90},{17,0,90},{16,40,1},{16,40,1},{16,40,1},{16,37,1},{14,40,2},{14,40,2},{18,49,162},{18,46,95},{18,43,107},{18,42,99},{17,49,244},{17,45,91},{17,43,3},{17,41,100},{13,48,244},{15,41,78},{18,49,81},
{18,46,14},{18,43,26},{18,42,18},{31,2,243},{15,48,75},{17,43,2},{15,41,78},{29,29,243},{15,41,78},{18,45,91},{18,45,91},{18,45,91},{18,42,90},{17,45,53},{17,43,2},{17,43,2},{17,40,6},{14,45,51},{16,40,18},{18,45,10},{18,45,10},{18,45,10},{18,42,9},{29,5,50},{17,43,1},{17,43,1},{16,40,2},{31,24,50},{16,40,2},{30,9,72},{17,48,2},{19,43,2},
{17,43,1},{30,9,72},{29,31,72},{17,43,1},{0,41,74},{29,31,72},{0,41,74},{18,0,90},{18,0,90},{18,0,90},{18,0,90},{17,42,1},{17,42,1},{17,42,1},{17,39,1},{15,42,2},{15,42,2},{19,52,152},{19,48,84},{19,45,105},{19,45,84},{18,52,243},{18,47,89},{18,45,1},{18,43,96},{14,50,244},{16,44,81},{19,52,88},{19,48,20},{20,45,26},{19,45,20},{31,8,243},
{17,49,76},{18,45,1},{16,44,80},{31,30,243},{16,44,80},{19,48,80},{19,48,80},{19,48,80},{19,44,81},{18,48,50},{18,45,1},{18,45,1},{18,42,1},{15,47,52},{17,42,13},{19,48,16},{19,48,16},{19,48,16},{19,44,17},{31,4,50},{18,45,1},{18,45,1},{18,42,1},{30,29,50},{18,42,1},{30,15,72},{19,48,4},{20,45,1},{18,45,1},{30,15,72},{31,32,72},{18,45,1},
{0,43,80},{31,32,72},{0,43,80},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{18,45,0},{18,45,0},{18,45,0},{18,41,1},{16,44,1},{16,44,1},{20,53,164},{20,50,95},{20,47,106},{20,47,94},{19,54,243},{19,49,96},{19,47,1},{19,45,96},{15,52,244},{17,46,81},{20,53,83},{20,50,14},{20,47,25},{20,47,13},{29,20,243},{18,51,76},{19,47,1},{17,46,80},{31,33,243},
{17,46,80},{20,49,91},{20,49,91},{20,49,91},{20,46,90},{19,50,50},{19,47,1},{19,47,1},{19,44,1},{16,49,51},{18,44,13},{20,49,10},{20,49,10},{20,49,10},{20,46,9},{30,13,50},{19,47,1},{19,47,1},{19,44,1},{31,31,50},{19,44,1},{30,20,72},{19,52,4},{21,47,1},{19,47,1},{30,20,72},{31,35,72},{19,47,1},{0,45,80},{31,35,72},{0,45,80},{20,0,90},
{20,0,90},{20,0,90},{20,0,90},{19,47,0},{19,47,0},{19,47,0},{19,43,1},{17,46,1},{17,46,1},{21,55,164},{21,52,95},{21,49,107},{21,48,99},{20,55,245},{20,51,91},{20,49,3},{20,47,97},{16,54,244},{18,47,85},{21,55,83},{21,52,14},{21,49,26},{21,48,18},{30,22,243},{19,53,76},{20,49,2},{19,47,81},{28,40,243},{19,47,81},{21,51,91},{21,51,91},{21,51,91},
{21,48,90},{20,51,53},{20,49,2},{20,49,2},{20,46,5},{17,51,51},{19,46,13},{21,51,10},{21,51,10},{21,51,10},{21,48,9},{31,15,50},{20,49,1},{20,49,1},{19,46,4},{31,34,50},{19,46,4},{31,22,72},{20,54,1},{22,49,2},{20,49,1},{31,22,72},{28,42,72},{20,49,1},{0,47,80},{28,42,72},{0,47,80},{21,0,90},{21,0,90},{21,0,90},{21,0,90},{20,48,1},
{20,48,1},{20,48,1},{20,45,2},{18,48,2},{18,48,2},{22,57,164},{22,54,95},{22,51,107},{22,50,99},{21,57,245},{21,53,91},{21,51,3},{21,49,100},{17,56,244},{19,49,78},{22,57,83},{22,54,14},{22,51,26},{22,50,18},{31,24,243},{19,56,76},{21,51,2},{19,49,78},{29,42,243},{19,49,78},{22,53,91},{22,53,91},{22,53,91},{22,50,90},{21,53,53},{21,51,2},{21,51,2},
{21,48,6},{18,53,51},{20,48,18},{22,53,10},{22,53,10},{22,53,10},{22,50,9},{31,20,50},{21,51,1},{21,51,1},{20,48,2},{31,37,50},{20,48,2},{31,27,72},{21,56,1},{23,51,2},{21,51,1},{31,27,72},{29,44,72},{21,51,1},{0,49,74},{29,44,72},{0,49,74},{22,0,90},{22,0,90},{22,0,90},{22,0,90},{21,50,1},{21,50,1},{21,50,1},{21,47,2},{19,50,2},
{19,50,2},{23,60,152},{23,57,81},{23,53,105},{23,53,84},{22,60,243},{22,55,89},{22,53,1},{22,51,96},{18,59,244},{20,52,81},{23,60,88},{23,57,17},{24,53,26},{23,53,20},{31,30,243},{21,57,73},{22,53,1},{20,52,80},{31,43,243},{20,52,80},{23,56,80},{23,56,80},{23,56,80},{23,52,81},{22,56,50},{22,53,1},{22,53,1},{22,50,1},{19,55,52},{21,50,13},{23,56,16},
{23,56,16},{23,56,16},{23,52,17},{31,26,50},{22,53,1},{22,53,1},{22,50,1},{30,42,50},{22,50,1},{31,33,72},{23,57,1},{24,53,1},{22,53,1},{31,33,72},{31,45,72},{22,53,1},{0,51,80},{31,45,72},{0,51,80},{23,0,80},{23,0,80},{23,0,80},{23,0,80},{22,53,0},{22,53,0},{22,53,0},{22,49,1},{20,52,1},{20,52,1},{24,62,162},{24,58,94},{24,55,106},
{24,55,94},{23,62,243},{23,57,89},{23,55,1},{23,53,96},{19,61,244},{21,54,81},{24,62,81},{24,58,13},{24,55,25},{24,55,13},{31,35,243},{22,59,73},{23,55,1},{21,54,80},{27,51,243},{21,54,80},{24,58,90},{24,58,90},{24,58,90},{24,54,90},{23,58,50},{23,55,1},{23,55,1},{23,52,1},{20,57,50},{22,52,13},{24,58,9},{24,58,9},{24,58,9},{24,54,9},{31,31,50},
{23,55,1},{23,55,1},{23,52,1},{31,44,50},{23,52,1},{31,38,72},{24,58,4},{25,55,1},{23,55,1},{31,38,72},{31,48,72},{23,55,1},{0,53,80},{31,48,72},{0,53,80},{24,0,90},{24,0,90},{24,0,90},{24,0,90},{23,55,0},{23,55,0},{23,55,0},{23,51,1},{21,54,1},{21,54,1},{25,63,164},{25,60,94},{25,57,106},{25,57,94},{24,63,245},{24,59,97},{24,57,3},
{24,55,97},{20,63,249},{22,56,81},{25,63,83},{25,60,13},{25,57,25},{25,57,13},{31,40,243},{23,61,73},{24,57,2},{22,56,80},{31,49,243},{22,56,80},{25,60,90},{25,60,90},{25,60,90},{25,56,90},{24,60,51},{24,57,3},{24,57,3},{24,54,5},{21,59,50},{23,54,13},{25,60,9},{25,60,9},{25,60,9},{25,56,9},{31,36,50},{24,57,2},{24,57,2},{23,54,4},{31,47,50},
{23,54,4},{30,47,72},{25,60,4},{26,57,1},{24,57,1},{30,47,72},{31,51,72},{24,57,1},{0,55,80},{31,51,72},{0,55,80},{25,0,90},{25,0,90},{25,0,90},{25,0,90},{24,56,2},{24,56,2},{24,56,2},{24,53,2},{22,56,1},{22,56,1},{26,63,194},{26,62,94},{26,59,106},{26,59,94},{25,63,284},{25,61,97},{25,59,3},{25,57,97},{22,63,253},{23,58,81},{27,62,99},
{26,62,13},{26,59,25},{26,59,13},{29,52,243},{24,63,76},{25,59,2},{23,58,80},{28,56,243},{23,58,80},{26,62,90},{26,62,90},{26,62,90},{26,58,90},{25,62,51},{25,59,3},{25,59,3},{25,56,5},{22,61,50},{24,56,10},{26,62,9},{26,62,9},{26,62,9},{26,58,9},{30,45,50},{25,59,2},{25,59,2},{24,56,1},{31,50,50},{24,56,1},{30,52,72},{26,62,4},{27,59,1},
{25,59,1},{30,52,72},{28,58,72},{25,59,1},{0,57,80},{28,58,72},{0,57,80},{26,0,90},{26,0,90},{26,0,90},{26,0,90},{25,58,2},{25,58,2},{25,58,2},{25,55,2},{23,58,1},{23,58,1},{27,63,280},{27,63,120},{27,62,105},{27,61,82},{27,63,328},{26,63,99},{26,61,5},{26,59,99},{24,63,308},{24,60,74},{28,63,105},{28,63,45},{28,61,27},{27,61,18},{31,51,243},
{26,63,99},{26,61,5},{24,60,74},{31,56,243},{24,60,74},{27,63,84},{27,63,84},{27,63,84},{27,60,81},{26,63,58},{26,62,2},{26,62,2},{26,58,2},{23,63,53},{25,58,9},{27,63,20},{27,63,20},{27,63,20},{27,60,17},{29,54,50},{26,62,2},{26,62,2},{26,58,2},{29,56,50},{26,58,2},{30,58,72},{28,63,20},{28,61,2},{27,61,2},{30,58,72},{31,58,72},{27,61,2},
{0,60,74},{31,58,72},{0,60,74},{27,0,80},{27,0,80},{27,0,80},{27,0,80},{26,61,0},{26,61,0},{26,61,0},{26,58,1},{24,60,0},{24,60,0},{28,63,331},{28,63,187},{28,63,106},{28,63,94},{28,63,358},{27,63,173},{27,63,4},{27,61,82},{26,63,355},{25,62,65},{29,63,126},{29,63,62},{28,63,25},{28,63,13},{31,56,221},{28,63,121},{27,63,4},{25,62,65},{30,60,221},
{25,62,65},{28,63,106},{28,63,106},{28,63,106},{28,62,91},{27,63,100},{27,63,4},{27,63,4},{27,60,2},{25,63,72},{26,60,9},{28,63,25},{28,63,25},{28,63,25},{28,62,10},{30,56,50},{27,63,4},{27,63,4},{27,60,2},{30,58,50},{27,60,2},{31,59,61},{29,63,37},{29,63,1},{27,63,4},{31,59,61},{31,61,61},{27,63,4},{0,62,65},{31,61,61},{0,62,65},{28,0,90},
{28,0,90},{28,0,90},{28,0,90},{27,63,0},{27,63,0},{27,63,0},{27,60,1},{25,62,0},{25,62,0},{29,63,239},{29,63,175},{29,63,139},{29,63,99},{29,63,239},{28,63,122},{28,63,41},{28,62,19},{28,63,233},{26,63,19},{30,63,54},{30,63,38},{30,63,29},{29,63,18},{31,60,93},{29,63,54},{29,63,18},{27,63,9},{31,61,93},{27,63,9},{29,63,139},{29,63,139},{29,63,139},
{29,63,99},{29,63,139},{28,63,41},{28,63,41},{28,62,3},{27,63,116},{27,62,9},{30,63,29},{30,63,29},{30,63,29},{29,63,18},{31,58,50},{29,63,18},{29,63,18},{28,62,2},{31,60,50},{28,62,2},{31,62,5},{31,63,9},{30,63,4},{30,63,0},{31,62,5},{31,62,9},{30,63,0},{0,63,9},{31,62,9},{0,63,9},{29,0,90},{29,0,90},{29,0,90},{29,0,90},{28,63,5},
{28,63,5},{28,63,5},{28,61,2},{27,62,8},{27,62,8},{30,63,140},{30,63,124},{30,63,115},{30,63,99},{30,63,131},{29,63,98},{29,63,62},{29,63,2},{29,63,122},{28,63,20},{31,63,25},{31,63,25},{31,63,25},{30,63,18},{31,62,17},{30,63,18},{30,63,9},{29,63,1},{31,62,22},{29,63,1},{30,63,115},{30,63,115},{30,63,115},{30,63,99},{30,63,106},{29,63,62},{29,63,62},
{29,63,2},{29,63,86},{28,63,20},{31,63,25},{31,63,25},{31,63,25},{30,63,18},{31,61,13},{30,63,9},{30,63,9},{29,63,1},{31,62,13},{29,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{30,0,90},{30,0,90},{30,0,90},{30,0,90},{29,63,26},{29,63,26},{29,63,26},{29,63,2},{28,63,20},
{28,63,20},{0,13,200},{0,10,52},{0,7,2},{0,6,61},{0,9,441},{0,7,308},{0,5,139},{0,4,318},{0,5,491},{0,4,354},{0,13,200},{0,10,52},{0,7,2},{0,6,61},{2,2,441},{0,7,308},{0,5,139},{0,4,318},{2,3,441},{0,4,318},{0,6,0},{0,6,0},{0,6,0},{0,4,1},{0,3,41},{0,3,20},{0,3,20},{0,2,26},{0,2,50},{0,1,30},{0,6,0},
{0,6,0},{0,6,0},{0,4,1},{1,0,41},{0,3,20},{0,3,20},{0,2,26},{1,1,41},{0,2,26},{3,3,200},{0,10,52},{0,7,2},{0,6,61},{3,3,200},{4,3,200},{0,6,61},{0,5,202},{4,3,200},{0,5,202},{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},{0,18,200},{0,14,20},{0,10,13},
{0,9,26},{0,12,686},{0,9,419},{0,8,178},{0,5,442},{0,7,789},{0,5,491},{0,18,200},{0,14,20},{0,10,13},{0,9,26},{3,2,686},{0,9,419},{0,8,178},{0,5,442},{6,0,686},{0,5,442},{0,11,1},{0,11,1},{0,11,1},{0,7,0},{0,6,145},{0,5,74},{0,5,74},{0,3,74},{0,3,165},{0,3,90},{0,11,1},{0,11,1},{0,11,1},{0,7,0},{1,2,145},
{0,5,74},{0,5,74},{0,3,74},{3,0,145},{0,3,74},{5,1,200},{0,14,20},{1,9,2},{0,9,26},{5,1,200},{9,0,200},{0,9,26},{0,7,202},{9,0,200},{0,7,202},{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},{0,23,251},{0,17,53},{1,12,78},{0,11,54},{0,17,724},{0,13,362},{0,11,86},
{0,8,387},{0,9,932},{0,7,498},{1,20,201},{1,16,21},{1,12,14},{1,11,27},{4,4,723},{0,13,362},{0,11,86},{0,8,387},{7,2,723},{0,8,387},{0,17,49},{0,17,49},{0,17,49},{0,10,49},{0,11,162},{0,9,45},{0,9,45},{0,5,50},{0,5,243},{0,5,99},{1,13,2},{1,13,2},{1,13,2},{1,9,1},{3,1,162},{0,9,45},{0,9,45},{0,5,50},{3,3,162},
{0,5,50},{7,0,200},{0,17,4},{2,11,2},{0,11,5},{7,0,200},{10,2,200},{0,11,5},{0,9,202},{10,2,200},{0,9,202},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,13},{0,2,13},{1,25,315},{1,19,117},{1,14,171},{1,13,118},{0,23,723},{0,16,299},{0,13,18},{0,10,318},{0,12,1087},{0,9,516},{2,22,201},
{2,17,21},{2,14,14},{2,13,27},{5,6,723},{0,16,299},{0,13,18},{0,10,318},{8,4,723},{0,10,318},{1,19,113},{1,19,113},{1,19,113},{1,12,113},{0,16,162},{0,13,17},{0,13,17},{0,8,26},{0,8,338},{0,7,129},{2,15,2},{2,15,2},{2,15,2},{2,11,1},{3,6,162},{0,13,17},{0,13,17},{0,8,26},{8,0,162},{0,8,26},{7,5,200},{1,19,4},{3,13,2},
{0,13,2},{7,5,200},{14,0,200},{0,13,2},{0,11,202},{14,0,200},{0,11,202},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,10,0},{0,10,0},{0,10,0},{0,6,0},{0,5,58},{0,5,58},{2,28,408},{2,22,210},{2,16,281},{2,15,213},{0,29,739},{0,20,260},{0,16,29},{0,13,280},{0,15,1143},{0,12,464},{3,25,200},{3,21,16},{3,16,18},{3,15,20},{7,5,723},
{0,20,244},{0,16,13},{0,13,264},{14,0,723},{0,13,264},{2,21,209},{2,21,209},{2,21,209},{2,14,209},{1,19,178},{0,17,18},{0,17,18},{0,10,21},{0,12,376},{0,9,121},{3,18,0},{3,18,0},{3,18,0},{3,13,1},{6,2,162},{0,17,2},{0,17,2},{0,10,5},{11,0,162},{0,10,5},{10,1,200},{2,22,2},{4,15,5},{2,15,5},{10,1,200},{17,0,200},{2,15,5},
{0,13,200},{17,0,200},{0,13,200},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{1,13,16},{1,13,16},{1,13,16},{1,8,17},{0,8,80},{0,8,80},{3,30,408},{3,24,210},{3,18,281},{3,17,213},{1,31,739},{1,22,260},{2,17,27},{1,15,280},{0,19,1000},{0,14,322},{4,26,201},{4,22,21},{4,18,14},{4,17,27},{10,0,723},{0,23,212},{2,17,11},{0,15,225},{15,2,723},
{0,15,225},{3,23,209},{3,23,209},{3,23,209},{3,16,209},{2,21,178},{1,19,18},{1,19,18},{1,12,21},{0,15,294},{0,12,44},{4,19,2},{4,19,2},{4,19,2},{4,15,2},{8,0,162},{1,19,2},{1,19,2},{0,13,4},{11,3,162},{0,13,4},{11,3,200},{3,24,2},{5,17,2},{2,17,2},{11,3,200},{18,2,200},{2,17,2},{0,15,200},{18,2,200},{0,15,200},{3,0,208},
{3,0,208},{3,0,208},{3,0,208},{2,15,16},{2,15,16},{2,15,16},{2,10,17},{0,12,40},{0,12,40},{4,31,420},{4,26,222},{4,20,276},{4,19,223},{3,29,740},{2,24,260},{3,19,27},{2,16,270},{0,23,920},{0,16,234},{5,28,201},{5,24,21},{5,20,14},{5,19,27},{11,2,723},{0,27,200},{3,19,11},{0,17,211},{16,4,723},{0,17,211},{4,25,218},{4,25,218},{4,25,218},
{4,18,218},{3,23,178},{2,21,18},{2,21,18},{2,14,21},{0,19,228},{0,15,17},{5,21,2},{5,21,2},{5,21,2},{5,17,1},{9,2,162},{2,21,2},{2,21,2},{1,15,4},{16,0,162},{1,15,4},{13,1,200},{3,28,2},{6,19,2},{3,19,2},{13,1,200},{19,4,200},{3,19,2},{0,17,202},{19,4,200},{0,17,202},{4,0,218},{4,0,218},{4,0,218},{4,0,218},{3,17,16},
{3,17,16},{3,17,16},{3,12,17},{0,15,13},{0,15,13},{5,33,420},{5,28,222},{5,22,276},{5,21,223},{3,34,740},{3,26,260},{3,22,29},{3,18,270},{0,25,844},{0,19,202},{6,30,201},{6,26,21},{6,22,14},{6,21,27},{12,4,723},{1,29,200},{3,22,13},{0,19,202},{22,0,723},{0,19,202},{5,27,218},{5,27,218},{5,27,218},{5,20,218},{3,28,178},{3,23,18},{3,23,18},
{3,16,18},{0,22,195},{1,17,17},{6,23,2},{6,23,2},{6,23,2},{6,19,1},{11,1,162},{3,23,2},{3,23,2},{3,16,2},{17,2,162},{3,16,2},{15,0,200},{5,28,4},{7,21,2},{4,21,2},{15,0,200},{24,1,200},{4,21,2},{0,19,202},{24,1,200},{0,19,202},{5,0,218},{5,0,218},{5,0,218},{5,0,218},{3,22,16},{3,22,16},{3,22,16},{3,16,17},{0,19,0},
{0,19,0},{6,36,408},{6,30,210},{6,24,276},{6,23,213},{4,37,739},{4,28,260},{4,24,24},{4,21,280},{0,29,780},{1,21,202},{7,33,200},{7,29,17},{7,24,13},{7,23,20},{15,0,723},{2,31,203},{4,24,8},{1,21,201},{24,1,723},{1,21,201},{6,29,209},{6,29,209},{6,29,209},{6,22,209},{5,27,178},{4,25,17},{4,25,17},{4,18,21},{0,26,168},{2,19,14},{7,26,0},
{7,26,0},{7,26,0},{7,21,1},{13,0,162},{4,25,1},{4,25,1},{3,19,4},{20,2,162},{3,19,4},{16,2,200},{6,30,2},{8,23,5},{6,23,5},{16,2,200},{27,1,200},{6,23,5},{0,21,200},{27,1,200},{0,21,200},{6,0,208},{6,0,208},{6,0,208},{6,0,208},{5,21,16},{5,21,16},{5,21,16},{5,16,17},{1,21,2},{1,21,2},{7,38,408},{7,32,210},{7,26,276},
{7,25,213},{5,39,739},{5,30,260},{5,26,24},{5,23,280},{0,33,749},{2,23,202},{8,34,201},{8,30,19},{8,26,14},{8,25,21},{16,1,723},{3,33,202},{5,26,8},{2,23,201},{25,3,723},{2,23,201},{7,31,209},{7,31,209},{7,31,209},{7,24,209},{6,29,178},{5,27,17},{5,27,17},{5,20,21},{0,30,164},{3,21,14},{8,28,1},{8,28,1},{8,28,1},{8,23,2},{14,2,162},
{5,27,1},{5,27,1},{4,21,4},{24,0,162},{4,21,4},{17,4,200},{7,32,2},{9,25,5},{7,25,5},{17,4,200},{27,4,200},{7,25,5},{0,23,200},{27,4,200},{0,23,200},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{6,23,16},{6,23,16},{6,23,16},{6,18,17},{2,23,2},{2,23,2},{8,39,420},{8,34,222},{8,28,286},{8,27,223},{6,41,739},{6,32,260},{6,28,24},
{6,25,280},{0,36,725},{3,25,202},{9,36,201},{9,32,21},{9,28,14},{9,27,21},{18,0,723},{4,35,200},{6,28,8},{3,25,201},{30,0,723},{3,25,201},{8,33,218},{8,33,218},{8,33,218},{8,26,219},{7,31,178},{6,29,17},{6,29,17},{6,22,21},{2,30,168},{4,23,17},{9,30,1},{9,30,1},{9,30,1},{9,25,2},{16,0,162},{6,29,1},{6,29,1},{5,23,4},{26,1,162},
{5,23,4},{18,6,200},{7,36,2},{10,27,5},{8,27,5},{18,6,200},{28,6,200},{8,27,5},{0,25,200},{28,6,200},{0,25,200},{8,0,218},{8,0,218},{8,0,218},{8,0,218},{7,25,16},{7,25,16},{7,25,16},{7,20,17},{3,25,2},{3,25,2},{9,41,420},{9,36,222},{9,30,286},{9,29,223},{7,43,739},{7,34,260},{7,30,24},{7,27,280},{1,38,725},{4,27,201},{10,38,201},
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{27,63,32},{27,63,32},{27,61,17},{24,63,26},{24,63,26},{29,63,418},{29,63,354},{29,63,318},{29,63,254},{29,63,370},{28,63,223},{28,63,142},{28,63,25},{28,63,358},{26,63,58},{30,63,51},{30,63,35},{30,63,26},{30,63,10},{31,61,54},{30,63,34},{30,63,25},{28,63,0},{31,62,54},{28,63,0},{29,63,318},{29,63,318},{29,63,318},{29,63,254},{29,63,270},{28,63,142},{28,63,142},
{28,63,25},{27,63,249},{26,63,58},{30,63,26},{30,63,26},{30,63,26},{30,63,10},{31,60,41},{30,63,25},{30,63,25},{28,63,0},{31,61,41},{28,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{29,0,218},{29,0,218},{29,0,218},{29,0,218},{28,63,61},{28,63,61},{28,63,61},{28,63,25},{26,63,58},
{26,63,58},{0,18,421},{0,15,106},{0,10,8},{0,9,117},{0,12,925},{0,9,650},{0,9,286},{0,6,670},{0,7,1030},{0,5,726},{0,18,421},{0,15,106},{0,10,8},{0,9,117},{3,2,925},{0,9,650},{0,9,286},{0,6,670},{6,0,925},{0,6,670},{0,9,0},{0,9,0},{0,9,0},{0,5,1},{0,4,85},{0,4,45},{0,4,45},{0,2,50},{0,2,98},{0,2,59},{0,9,0},
{0,9,0},{0,9,0},{0,5,1},{1,1,85},{0,4,45},{0,4,45},{0,2,50},{2,0,85},{0,2,50},{5,1,421},{0,15,106},{0,10,8},{0,9,117},{5,1,421},{9,0,421},{0,9,117},{0,7,421},{9,0,421},{0,7,421},{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},{0,24,421},{0,19,53},{0,13,8},
{0,11,72},{0,16,1261},{0,12,805},{0,11,328},{0,7,822},{0,9,1438},{0,7,922},{0,24,421},{0,19,53},{0,13,8},{0,11,72},{3,6,1261},{0,12,805},{0,11,328},{0,7,822},{8,0,1261},{0,7,822},{0,14,0},{0,14,0},{0,14,0},{0,8,1},{0,7,221},{0,7,116},{0,7,116},{0,4,125},{0,4,257},{0,3,146},{0,14,0},{0,14,0},{0,14,0},{0,8,1},{2,0,221},
{0,7,116},{0,7,116},{0,4,125},{3,1,221},{0,4,125},{7,0,421},{0,19,53},{1,12,8},{0,11,72},{7,0,421},{11,1,421},{0,11,72},{0,9,421},{11,1,421},{0,9,421},{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},{0,29,430},{0,22,34},{0,15,62},{0,14,49},{0,20,1514},{0,15,866},{0,13,301},
{0,9,894},{0,11,1797},{0,9,1063},{0,29,430},{0,22,34},{1,15,33},{0,14,49},{6,0,1514},{0,15,866},{0,13,301},{0,9,894},{10,0,1514},{0,9,894},{0,19,10},{0,19,10},{0,19,10},{0,12,10},{0,11,338},{0,9,149},{0,9,149},{0,5,162},{0,5,419},{0,5,211},{0,19,10},{0,19,10},{0,19,10},{0,12,10},{3,1,338},{0,9,149},{0,9,149},{0,5,162},{3,3,338},
{0,5,162},{8,2,421},{0,22,25},{2,14,8},{0,14,40},{8,2,421},{14,0,421},{0,14,40},{0,11,421},{14,0,421},{0,11,421},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,2},{0,1,2},{1,31,494},{1,24,98},{1,17,131},{1,16,110},{0,25,1517},{0,19,734},{0,15,157},{0,11,789},{0,14,1982},{0,11,1045},{1,31,430},
{1,24,34},{2,16,35},{1,16,46},{7,2,1514},{0,19,734},{0,15,157},{0,11,789},{11,2,1514},{0,11,789},{1,21,74},{1,21,74},{1,21,74},{1,14,74},{0,16,338},{0,13,89},{0,13,89},{0,8,106},{0,8,514},{0,7,217},{1,21,10},{1,21,10},{1,21,10},{1,14,10},{3,6,338},{0,13,89},{0,13,89},{0,8,106},{8,0,338},{0,8,106},{10,0,421},{0,26,5},{3,16,5},
{0,16,10},{10,0,421},{17,0,421},{0,16,10},{0,13,421},{17,0,421},{0,13,421},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,7,1},{0,7,1},{0,7,1},{0,4,1},{0,3,32},{0,3,32},{1,37,629},{1,28,213},{2,19,340},{1,18,216},{0,31,1517},{0,23,629},{0,18,54},{0,14,686},{0,17,2187},{0,13,1070},{3,30,437},{2,27,33},{3,19,29},{2,18,45},{9,1,1514},
{0,23,629},{0,18,54},{0,14,686},{13,3,1514},{0,14,686},{1,27,209},{1,27,209},{1,27,209},{1,17,208},{0,22,338},{0,17,34},{0,17,34},{0,11,53},{0,11,666},{0,9,273},{3,21,16},{3,21,16},{3,21,16},{3,15,16},{6,2,338},{0,17,34},{0,17,34},{0,11,53},{11,0,338},{0,11,53},{12,0,421},{0,30,1},{4,18,8},{0,18,5},{12,0,421},{20,0,421},{0,18,5},
{0,15,421},{20,0,421},{0,15,421},{1,0,208},{1,0,208},{1,0,208},{1,0,208},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,6,106},{0,6,106},{2,39,821},{2,30,405},{2,22,557},{2,20,408},{0,36,1517},{0,25,562},{0,21,14},{0,16,589},{0,19,2445},{0,15,1130},{3,35,437},{3,29,33},{4,21,33},{3,20,45},{10,3,1514},{0,25,562},{0,21,14},{0,16,589},{18,0,1514},
{0,16,589},{2,29,401},{2,29,401},{2,29,401},{2,19,400},{0,27,340},{0,21,10},{0,21,10},{0,13,20},{0,14,851},{0,11,357},{3,26,16},{3,26,16},{3,26,16},{3,18,16},{8,0,338},{0,21,10},{0,21,10},{0,13,20},{11,3,338},{0,13,20},{13,1,421},{1,32,2},{5,20,8},{1,20,5},{13,1,421},{21,2,421},{1,20,5},{0,17,421},{21,2,421},{0,17,421},{2,0,400},
{2,0,400},{2,0,400},{2,0,400},{0,19,0},{0,19,0},{0,19,0},{0,11,1},{0,9,205},{0,9,205},{3,41,854},{3,32,435},{3,24,590},{3,22,441},{1,38,1518},{0,29,543},{1,23,15},{0,18,575},{0,23,2318},{0,17,906},{4,37,430},{4,30,34},{5,23,33},{4,22,49},{12,1,1514},{0,29,494},{1,23,14},{0,18,526},{19,2,1514},{0,18,526},{3,31,434},{3,31,434},{3,31,434},
{3,21,433},{1,29,341},{1,23,11},{1,23,11},{1,15,21},{0,17,734},{0,15,230},{4,27,10},{4,27,10},{4,27,10},{4,20,10},{9,2,338},{0,25,2},{0,25,2},{0,15,5},{16,0,338},{0,15,5},{15,0,421},{3,32,2},{6,22,8},{2,22,5},{15,0,421},{25,0,421},{2,22,5},{0,19,421},{25,0,421},{0,19,421},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{1,21,1},
{1,21,1},{1,21,1},{1,13,2},{0,12,157},{0,12,157},{4,42,866},{4,34,450},{4,26,581},{4,24,458},{2,40,1518},{1,31,543},{2,25,15},{1,20,575},{0,27,2166},{0,20,706},{5,39,430},{5,32,34},{6,25,33},{5,24,49},{14,0,1514},{0,32,461},{2,25,14},{0,20,481},{20,4,1514},{0,20,481},{4,33,445},{4,33,445},{4,33,445},{4,23,445},{2,31,341},{2,25,11},{2,25,11},
{2,17,27},{0,21,626},{0,17,102},{5,29,10},{5,29,10},{5,29,10},{5,22,10},{11,1,338},{1,27,2},{1,27,2},{0,17,2},{17,2,338},{0,17,2},{16,1,421},{3,36,2},{7,24,8},{3,24,5},{16,1,421},{27,1,421},{3,24,5},{0,21,421},{27,1,421},{0,21,421},{4,0,445},{4,0,445},{4,0,445},{4,0,445},{2,23,1},{2,23,1},{2,23,1},{2,15,2},{0,16,97},
{0,16,97},{5,45,854},{5,36,438},{5,28,579},{5,26,446},{3,43,1514},{3,32,545},{3,27,9},{3,22,582},{0,31,2010},{0,22,546},{7,38,437},{6,35,33},{7,27,26},{6,26,50},{14,6,1514},{0,37,430},{3,27,9},{0,23,446},{26,0,1514},{0,23,446},{5,35,434},{5,35,434},{5,35,434},{5,25,434},{3,34,338},{3,27,8},{3,27,8},{3,19,20},{0,25,525},{0,19,45},{7,29,16},
{7,29,16},{7,29,16},{7,23,16},{13,0,338},{2,29,0},{2,29,0},{1,20,4},{20,2,338},{1,20,4},{18,1,421},{4,38,1},{8,26,10},{4,27,2},{18,1,421},{29,2,421},{4,27,2},{0,23,421},{29,2,421},{0,23,421},{5,0,433},{5,0,433},{5,0,433},{5,0,433},{3,25,1},{3,25,1},{3,25,1},{3,17,1},{0,19,41},{0,19,41},{6,47,854},{6,38,438},{6,30,579},
{6,28,446},{4,45,1515},{3,36,553},{4,29,15},{3,24,589},{0,34,1887},{0,25,450},{7,44,437},{7,37,33},{8,29,30},{7,28,50},{16,4,1514},{0,40,422},{4,29,14},{0,25,425},{27,2,1514},{0,25,425},{6,37,434},{6,37,434},{6,37,434},{6,27,434},{4,35,341},{4,29,14},{4,29,14},{4,21,21},{0,29,461},{0,22,41},{7,34,16},{7,34,16},{7,34,16},{7,26,16},{14,2,338},
{3,31,0},{3,31,0},{2,22,4},{24,0,338},{2,22,4},{19,3,421},{5,40,1},{8,29,5},{5,29,2},{19,3,421},{30,4,421},{5,29,2},{0,25,421},{30,4,421},{0,25,421},{6,0,433},{6,0,433},{6,0,433},{6,0,433},{4,27,1},{4,27,1},{4,27,1},{4,19,2},{0,23,13},{0,23,13},{7,49,854},{7,40,438},{7,32,590},{7,30,446},{5,47,1515},{4,37,543},{5,31,15},
{4,26,591},{0,36,1785},{0,27,422},{8,45,430},{8,38,34},{9,31,30},{8,30,43},{17,6,1514},{1,42,422},{5,31,14},{0,27,422},{28,4,1514},{0,27,422},{7,39,434},{7,39,434},{7,39,434},{7,29,434},{5,37,341},{5,31,14},{5,31,14},{5,23,21},{0,32,404},{1,24,41},{8,35,10},{8,35,10},{8,35,10},{8,28,9},{16,0,338},{4,33,2},{4,33,2},{3,24,4},{26,1,338},
{3,24,4},{21,1,421},{6,42,1},{9,31,5},{6,31,2},{21,1,421},{31,6,421},{6,31,2},{0,27,421},{31,6,421},{0,27,421},{7,0,433},{7,0,433},{7,0,433},{7,0,433},{5,29,1},{5,29,1},{5,29,1},{5,21,2},{0,27,1},{0,27,1},{8,50,866},{8,42,450},{8,34,581},{8,32,458},{6,48,1518},{5,39,543},{6,33,15},{5,28,591},{0,40,1685},{1,29,422},{9,47,430},
{9,40,34},{10,33,33},{9,32,49},{20,1,1514},{2,44,422},{6,33,14},{1,29,422},{29,6,1514},{1,29,422},{8,41,445},{8,41,445},{8,41,445},{8,31,446},{6,39,341},{6,33,11},{6,33,11},{6,25,21},{0,35,371},{2,26,41},{9,37,10},{9,37,10},{9,37,10},{9,30,9},{17,2,338},{5,35,2},{5,35,2},{5,25,5},{27,3,338},{5,25,5},{23,0,421},{7,44,1},{11,32,8},
{7,32,5},{23,0,421},{31,9,421},{7,32,5},{0,29,421},{31,9,421},{0,29,421},{8,0,445},{8,0,445},{8,0,445},{8,0,445},{6,31,1},{6,31,1},{6,31,1},{6,23,2},{1,29,1},{1,29,1},{9,53,854},{9,45,437},{9,36,579},{9,34,446},{7,51,1514},{7,41,546},{7,35,9},{6,31,589},{0,44,1607},{2,31,430},{11,46,437},{10,43,36},{11,35,26},{10,34,50},{22,0,1514},
{3,47,421},{7,35,9},{3,31,426},{31,7,1514},{3,31,426},{9,43,434},{9,43,434},{9,43,434},{9,33,434},{7,42,338},{7,35,8},{7,35,8},{7,27,18},{0,39,344},{3,29,42},{11,37,16},{11,37,16},{11,37,16},{10,32,16},{19,1,338},{6,37,0},{6,37,0},{5,28,1},{29,4,338},{5,28,1},{24,2,421},{8,46,1},{12,34,10},{8,35,2},{24,2,421},{30,14,421},{8,35,2},
{0,31,425},{30,14,421},{0,31,425},{9,0,433},{9,0,433},{9,0,433},{9,0,433},{7,33,1},{7,33,1},{7,33,1},{7,26,1},{2,32,2},{2,32,2},{10,55,854},{10,47,437},{10,38,579},{10,36,446},{8,53,1515},{7,43,561},{8,37,15},{7,32,589},{0,47,1577},{3,33,425},{11,52,437},{11,45,36},{12,37,30},{11,36,50},{23,2,1514},{4,48,422},{8,37,14},{3,33,425},{28,14,1514},
{3,33,425},{10,45,434},{10,45,434},{10,45,434},{10,35,434},{8,43,341},{8,37,14},{8,37,14},{8,29,19},{0,43,340},{4,30,38},{11,42,16},{11,42,16},{11,42,16},{11,34,16},{20,3,338},{7,39,0},{7,39,0},{6,30,1},{30,6,338},{6,30,1},{26,1,421},{9,48,1},{12,37,5},{9,37,2},{26,1,421},{30,17,421},{9,37,2},{0,33,421},{30,17,421},{0,33,421},{10,0,433},
{10,0,433},{10,0,433},{10,0,433},{8,35,1},{8,35,1},{8,35,1},{8,28,2},{3,34,2},{3,34,2},{11,57,854},{11,48,438},{11,40,579},{11,38,446},{9,55,1515},{8,46,555},{9,39,15},{8,34,591},{0,51,1530},{4,35,422},{12,53,430},{12,46,34},{13,39,30},{12,38,43},{24,4,1514},{5,50,422},{9,39,14},{4,35,422},{28,17,1514},{4,35,422},{11,47,434},{11,47,434},{11,47,434},
{11,37,434},{9,45,341},{9,39,14},{9,39,14},{9,31,19},{1,45,340},{5,32,41},{12,44,9},{12,44,9},{12,44,9},{12,36,9},{21,5,338},{8,41,1},{8,41,1},{7,32,4},{31,8,338},{7,32,4},{27,3,421},{10,50,1},{13,39,5},{10,39,2},{27,3,421},{31,19,421},{10,39,2},{0,35,421},{31,19,421},{0,35,421},{11,0,433},{11,0,433},{11,0,433},{11,0,433},{9,37,1},
{9,37,1},{9,37,1},{9,30,2},{4,35,1},{4,35,1},{12,58,866},{12,50,450},{12,41,590},{12,40,458},{10,57,1515},{9,48,555},{10,41,15},{9,36,591},{0,54,1518},{5,37,422},{13,55,430},{13,48,34},{14,41,30},{13,40,43},{25,6,1514},{6,52,422},{10,41,14},{5,37,422},{29,19,1514},{5,37,422},{12,49,445},{12,49,445},{12,49,445},{12,39,446},{10,47,341},{10,41,14},{10,41,14},
{10,33,21},{2,47,340},{6,34,41},{13,46,9},{13,46,9},{13,46,9},{13,38,9},{24,0,338},{9,43,1},{9,43,1},{9,33,5},{31,11,338},{9,33,5},{29,1,421},{11,52,1},{14,41,5},{11,41,2},{29,1,421},{31,22,421},{11,41,2},{0,37,421},{31,22,421},{0,37,421},{12,0,445},{12,0,445},{12,0,445},{12,0,445},{10,39,1},{10,39,1},{10,39,1},{10,31,5},{5,37,1},
{5,37,1},{13,61,854},{13,53,437},{13,44,593},{13,43,442},{11,59,1517},{11,49,546},{11,43,13},{10,39,589},{1,57,1518},{6,39,430},{15,54,437},{14,51,36},{15,43,25},{14,42,48},{27,5,1514},{7,55,421},{11,43,13},{7,39,426},{31,20,1514},{7,39,426},{13,51,434},{13,51,434},{13,51,434},{13,42,434},{11,50,338},{11,43,13},{11,43,13},{11,35,18},{4,47,341},{7,37,42},{15,45,16},
{15,45,16},{15,45,16},{15,39,17},{24,6,338},{10,45,1},{10,45,1},{9,36,1},{29,17,338},{9,36,1},{31,0,421},{12,54,1},{16,43,4},{12,43,0},{31,0,421},{30,27,421},{12,43,0},{0,39,425},{30,27,421},{0,39,425},{13,0,433},{13,0,433},{13,0,433},{13,0,433},{11,41,1},{11,41,1},{11,41,1},{11,34,1},{6,40,1},{6,40,1},{14,63,854},{14,55,437},{14,46,593},
{14,45,442},{12,61,1515},{11,51,561},{12,45,19},{11,41,589},{2,59,1518},{7,41,430},{15,60,437},{15,53,36},{16,45,34},{15,44,48},{30,0,1514},{9,55,425},{12,45,18},{8,41,426},{28,27,1514},{8,41,426},{14,53,434},{14,53,434},{14,53,434},{14,44,434},{12,51,341},{12,46,17},{12,46,17},{12,37,19},{4,51,340},{8,38,38},{15,50,16},{15,50,16},{15,50,16},{15,42,17},{27,1,338},
{11,47,1},{11,47,1},{10,38,1},{30,19,338},{10,38,1},{31,6,421},{13,56,1},{17,45,4},{13,45,0},{31,6,421},{31,29,421},{13,45,0},{0,41,425},{31,29,421},{0,41,425},{14,0,433},{14,0,433},{14,0,433},{14,0,433},{12,43,1},{12,43,1},{12,43,1},{12,36,2},{7,42,1},{7,42,1},{15,63,878},{15,57,437},{15,48,579},{15,47,442},{13,63,1515},{12,54,555},{13,47,19},
{12,43,574},{3,61,1518},{8,43,429},{16,61,430},{16,54,34},{17,47,34},{16,46,41},{31,2,1514},{10,57,425},{13,47,18},{9,43,426},{29,29,1514},{9,43,426},{15,55,434},{15,55,434},{15,55,434},{15,46,434},{13,53,341},{13,47,19},{13,47,19},{13,39,19},{5,53,340},{9,40,38},{16,52,9},{16,52,9},{16,52,9},{16,44,10},{28,3,338},{12,49,1},{12,49,1},{11,40,1},{31,21,338},
{11,40,1},{31,11,421},{14,58,1},{18,47,4},{14,47,0},{31,11,421},{31,32,421},{14,47,0},{0,43,425},{31,32,421},{0,43,425},{15,0,433},{15,0,433},{15,0,433},{15,0,433},{13,45,1},{13,45,1},{13,45,1},{13,38,2},{8,43,4},{8,43,4},{16,63,926},{16,58,450},{16,49,590},{16,48,458},{14,63,1542},{13,56,555},{14,49,15},{13,45,574},{4,62,1517},{9,45,429},{17,63,430},
{17,56,34},{18,49,30},{17,48,43},{30,11,1514},{11,59,425},{14,49,14},{10,45,426},{30,31,1514},{10,45,426},{16,57,445},{16,57,445},{16,57,445},{16,47,446},{14,55,341},{14,49,14},{14,49,14},{14,41,19},{6,55,340},{10,42,38},{17,54,9},{17,54,9},{17,54,9},{17,46,10},{29,5,338},{13,51,1},{13,51,1},{12,42,1},{31,24,338},{12,42,1},{31,16,421},{15,60,1},{18,49,5},
{15,49,2},{31,16,421},{31,35,421},{15,49,2},{0,45,425},{31,35,421},{0,45,425},{16,0,445},{16,0,445},{16,0,445},{16,0,445},{14,47,1},{14,47,1},{14,47,1},{14,40,2},{9,45,4},{9,45,4},{17,63,1034},{17,61,438},{17,52,593},{17,51,442},{16,63,1598},{15,57,554},{15,51,13},{15,47,577},{6,63,1535},{10,48,434},{19,63,437},{18,59,41},{19,51,25},{18,50,48},{29,20,1514},
{11,63,422},{15,51,13},{11,47,433},{31,33,1514},{11,47,433},{17,60,433},{17,60,433},{17,60,433},{17,50,434},{15,58,338},{15,51,13},{15,51,13},{15,43,20},{7,57,339},{12,44,41},{19,53,16},{19,53,16},{19,53,16},{19,47,17},{31,4,338},{14,53,1},{14,53,1},{13,44,1},{30,29,338},{13,44,1},{31,22,421},{16,63,1},{20,51,4},{16,51,0},{31,22,421},{30,40,421},{16,51,0},
{0,47,433},{30,40,421},{0,47,433},{17,0,433},{17,0,433},{17,0,433},{17,0,433},{15,49,1},{15,49,1},{15,49,1},{15,42,0},{10,48,1},{10,48,1},{18,63,1166},{18,63,438},{18,54,593},{18,53,442},{17,63,1643},{15,60,561},{16,53,19},{15,49,589},{8,63,1566},{11,49,430},{20,63,458},{19,61,41},{20,53,34},{19,52,48},{30,22,1514},{13,63,429},{16,53,18},{12,49,426},{28,40,1514},
{12,49,426},{18,62,433},{18,62,433},{18,62,433},{18,52,434},{16,60,339},{16,54,17},{16,54,17},{16,45,26},{9,57,341},{13,46,41},{19,58,17},{19,58,17},{19,58,17},{19,50,17},{30,13,338},{15,55,1},{15,55,1},{14,46,1},{31,31,338},{14,46,1},{31,27,421},{18,63,5},{21,53,4},{17,53,0},{31,27,421},{31,42,421},{17,53,0},{0,49,425},{31,42,421},{0,49,425},{18,0,433},
{18,0,433},{18,0,433},{18,0,433},{16,51,1},{16,51,1},{16,51,1},{16,44,1},{11,50,1},{11,50,1},{20,63,1326},{19,63,470},{19,56,593},{19,55,442},{18,63,1742},{16,62,546},{17,55,19},{16,51,574},{10,63,1638},{12,51,429},{21,63,506},{20,63,29},{21,55,34},{20,54,41},{31,24,1514},{15,63,461},{17,55,18},{13,51,426},{29,42,1514},{13,51,426},{19,63,434},{19,63,434},{19,63,434},
{19,54,434},{17,62,339},{17,56,17},{17,56,17},{17,47,26},{10,59,341},{13,48,38},{20,60,9},{20,60,9},{20,60,9},{20,52,10},{31,15,338},{16,57,2},{16,57,2},{15,48,1},{31,34,338},{15,48,1},{31,32,421},{20,63,20},{22,55,4},{18,55,0},{31,32,421},{31,45,421},{18,55,0},{0,51,425},{31,45,421},{0,51,425},{19,0,433},{19,0,433},{19,0,433},{19,0,433},{17,53,1},
{17,53,1},{17,53,1},{17,46,1},{12,51,4},{12,51,4},{21,63,1470},{20,63,561},{20,58,582},{20,57,461},{19,63,1895},{18,62,562},{18,57,19},{17,53,574},{12,63,1761},{13,53,429},{22,63,590},{21,63,59},{22,57,34},{21,56,41},{31,29,1514},{17,63,530},{18,57,18},{14,53,426},{30,44,1514},{14,53,426},{20,63,461},{20,63,461},{20,63,461},{20,55,446},{18,63,341},{18,58,17},{18,58,17},
{18,49,19},{11,61,341},{14,50,38},{21,62,9},{21,62,9},{21,62,9},{21,54,10},{31,20,338},{17,59,2},{17,59,2},{16,50,1},{31,37,338},{16,50,1},{31,38,421},{21,63,50},{23,57,4},{19,57,0},{31,38,421},{31,48,421},{19,57,0},{0,53,425},{31,48,421},{0,53,425},{20,0,445},{20,0,445},{20,0,445},{20,0,445},{18,55,1},{18,55,1},{18,55,1},{18,48,2},{13,53,4},
{13,53,4},{22,63,1674},{21,63,753},{21,60,586},{21,59,443},{21,63,2046},{19,63,629},{19,60,19},{19,55,577},{15,63,1917},{14,56,426},{24,63,674},{23,63,120},{23,60,29},{22,58,50},{31,35,1514},{19,63,629},{19,60,19},{14,56,425},{27,51,1514},{14,56,425},{21,63,497},{21,63,497},{21,63,497},{21,58,433},{19,63,388},{19,60,10},{19,60,10},{19,51,20},{12,63,347},{16,52,41},{23,61,17},
{23,61,17},{23,61,17},{23,55,17},{31,26,338},{18,62,2},{18,62,2},{17,52,1},{30,42,338},{17,52,1},{31,44,421},{23,63,104},{24,59,5},{20,59,1},{31,44,421},{31,51,421},{20,59,1},{0,56,425},{31,51,421},{0,56,425},{21,0,433},{21,0,433},{21,0,433},{21,0,433},{19,58,0},{19,58,0},{19,58,0},{19,50,0},{14,56,1},{14,56,1},{23,63,1902},{22,63,995},{22,62,586},
{22,61,443},{22,63,2235},{20,63,759},{20,61,15},{19,57,578},{17,63,2118},{15,58,426},{25,63,770},{24,63,250},{24,61,35},{23,60,50},{31,40,1514},{21,63,701},{20,61,14},{15,58,425},{31,49,1514},{15,58,425},{22,63,554},{22,63,554},{22,63,554},{22,60,433},{21,63,437},{20,61,14},{20,61,14},{20,53,26},{14,63,379},{17,54,41},{24,63,25},{24,63,25},{24,63,25},{23,59,17},{31,31,338},
{19,63,4},{19,63,4},{18,54,1},{31,44,338},{18,54,1},{31,49,421},{25,63,169},{25,61,5},{21,61,1},{31,49,421},{30,56,421},{21,61,1},{0,58,425},{30,56,421},{0,58,425},{22,0,433},{22,0,433},{22,0,433},{22,0,433},{20,59,2},{20,59,2},{20,59,2},{20,52,1},{15,58,1},{15,58,1},{24,63,2045},{24,63,1233},{23,63,629},{23,63,442},{24,63,2360},{22,63,914},{21,63,14},
{20,59,549},{19,63,2241},{16,60,401},{26,63,849},{25,63,395},{25,63,34},{24,62,41},{29,52,1459},{23,63,778},{21,63,13},{17,59,400},{28,56,1459},{17,59,400},{23,63,629},{23,63,629},{23,63,629},{23,62,433},{22,63,491},{21,63,14},{21,63,14},{21,55,26},{16,63,446},{18,56,41},{25,63,34},{25,63,34},{25,63,34},{24,60,10},{31,36,338},{21,63,13},{21,63,13},{19,56,1},{31,47,338},
{19,56,1},{31,54,392},{27,63,218},{26,63,4},{22,63,0},{31,54,392},{29,60,392},{22,63,0},{0,59,400},{29,60,392},{0,59,400},{23,0,433},{23,0,433},{23,0,433},{23,0,433},{21,61,2},{21,61,2},{21,61,2},{21,54,1},{16,60,1},{16,60,1},{25,63,1767},{25,63,1167},{24,63,701},{24,63,449},{24,63,1976},{23,63,747},{22,63,66},{21,60,306},{20,63,1820},{17,61,217},{27,63,611},
{26,63,317},{26,63,61},{25,63,10},{30,52,1064},{25,63,587},{23,63,41},{18,61,208},{28,58,1064},{18,61,208},{24,63,701},{24,63,701},{24,63,701},{24,63,449},{23,63,581},{22,63,66},{22,63,66},{22,57,26},{18,63,530},{19,58,41},{26,63,61},{26,63,61},{26,63,61},{25,62,10},{30,45,338},{23,63,41},{23,63,41},{20,58,1},{31,50,338},{20,58,1},{30,60,200},{28,63,106},{27,63,1},
{25,63,1},{30,60,200},{31,59,200},{25,63,1},{0,60,208},{31,59,200},{0,60,208},{24,0,445},{24,0,445},{24,0,445},{24,0,445},{22,63,2},{22,63,2},{22,63,2},{22,56,1},{17,62,1},{17,62,1},{26,63,1542},{26,63,1122},{25,63,833},{25,63,497},{26,63,1647},{24,63,687},{24,63,203},{23,61,122},{22,63,1515},{19,62,78},{28,63,410},{28,63,266},{27,63,116},{27,63,20},{30,56,722},
{26,63,402},{25,63,100},{20,62,65},{30,58,722},{20,62,65},{25,63,833},{25,63,833},{25,63,833},{25,63,497},{24,63,707},{24,63,203},{24,63,203},{23,60,17},{20,63,619},{19,61,46},{27,63,116},{27,63,116},{27,63,116},{27,63,20},{29,54,338},{25,63,100},{25,63,100},{22,60,2},{29,56,338},{22,60,2},{31,59,61},{29,63,37},{29,63,1},{27,63,4},{31,59,61},{31,61,61},{27,63,4},
{0,62,65},{31,61,61},{0,62,65},{25,0,433},{25,0,433},{25,0,433},{25,0,433},{23,63,25},{23,63,25},{23,63,25},{23,58,1},{19,62,13},{19,62,13},{27,63,1406},{27,63,1134},{26,63,962},{26,63,602},{27,63,1454},{25,63,702},{25,63,341},{24,62,43},{24,63,1378},{20,63,35},{29,63,318},{28,63,250},{28,63,169},{28,63,61},{31,56,509},{28,63,313},{27,63,164},{22,63,10},{30,60,509},
{22,63,10},{26,63,962},{26,63,962},{26,63,962},{26,63,602},{26,63,827},{25,63,341},{25,63,341},{24,62,27},{22,63,747},{20,63,35},{28,63,169},{28,63,169},{28,63,169},{28,63,61},{30,56,338},{27,63,164},{27,63,164},{23,62,2},{30,58,338},{23,62,2},{31,62,5},{31,63,9},{30,63,4},{30,63,0},{31,62,5},{31,62,9},{30,63,0},{0,63,9},{31,62,9},{0,63,9},{26,0,433},
{26,0,433},{26,0,433},{26,0,433},{24,63,50},{24,63,50},{24,63,50},{24,60,1},{20,63,26},{20,63,26},{28,63,1135},{28,63,991},{27,63,874},{27,63,602},{28,63,1162},{26,63,618},{26,63,362},{25,63,5},{25,63,1087},{22,63,58},{30,63,219},{29,63,161},{29,63,125},{29,63,61},{30,62,294},{29,63,193},{28,63,117},{24,63,1},{31,60,297},{24,63,1},{27,63,874},{27,63,874},{27,63,874},
{27,63,602},{27,63,730},{26,63,362},{26,63,362},{25,63,5},{24,63,681},{22,63,58},{29,63,125},{29,63,125},{29,63,125},{29,63,61},{31,56,221},{28,63,117},{28,63,117},{24,63,1},{31,59,221},{24,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{27,0,433},{27,0,433},{27,0,433},{27,0,433},{25,63,101},
{25,63,101},{25,63,101},{25,62,1},{22,63,58},{22,63,58},{29,63,885},{28,63,751},{28,63,670},{28,63,526},{28,63,778},{27,63,483},{27,63,314},{26,63,10},{26,63,777},{24,63,117},{30,63,75},{30,63,59},{30,63,50},{30,63,34},{31,60,114},{29,63,81},{29,63,45},{27,63,0},{31,61,114},{27,63,0},{28,63,670},{28,63,670},{28,63,670},{28,63,526},{28,63,553},{27,63,314},{27,63,314},
{26,63,10},{25,63,518},{24,63,117},{30,63,50},{30,63,50},{30,63,50},{30,63,34},{31,59,85},{29,63,45},{29,63,45},{27,63,0},{30,62,85},{27,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{28,0,445},{28,0,445},{28,0,445},{28,0,445},{27,63,145},{27,63,145},{27,63,145},{26,63,10},{24,63,117},
{24,63,117},{0,26,882},{0,21,218},{0,15,16},{0,13,260},{0,17,1899},{0,13,1341},{0,11,593},{0,8,1380},{0,9,2113},{0,7,1513},{0,26,882},{0,21,218},{0,15,16},{0,13,260},{4,4,1896},{0,13,1341},{0,11,593},{0,8,1380},{7,2,1896},{0,8,1380},{0,12,0},{0,12,0},{0,12,0},{0,7,1},{0,6,162},{0,5,85},{0,5,85},{0,3,85},{0,3,186},{0,3,101},{0,12,0},
{0,12,0},{0,12,0},{0,7,1},{1,3,162},{0,5,85},{0,5,85},{0,3,85},{3,0,162},{0,3,85},{6,6,882},{0,21,218},{0,15,16},{0,13,260},{6,6,882},{12,1,882},{0,13,260},{0,10,884},{12,1,882},{0,10,884},{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},{0,31,884},{0,25,146},{0,17,2},
{0,15,185},{0,21,2355},{0,17,1539},{0,13,653},{0,10,1605},{0,11,2667},{0,9,1777},{0,31,884},{0,25,146},{0,17,2},{0,15,185},{5,4,2355},{0,17,1539},{0,13,653},{0,10,1605},{7,4,2355},{0,10,1605},{0,17,1},{0,17,1},{0,17,1},{0,10,1},{0,9,338},{0,8,180},{0,8,180},{0,5,180},{0,5,389},{0,5,229},{0,17,1},{0,17,1},{0,17,1},{0,10,1},{2,2,338},
{0,8,180},{0,8,180},{0,5,180},{2,3,338},{0,5,180},{9,1,882},{0,25,146},{0,17,2},{0,15,185},{9,1,882},{13,3,882},{0,15,185},{0,12,884},{13,3,882},{0,12,884},{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},{0,36,884},{0,29,90},{0,19,37},{0,17,130},{0,25,2899},{0,19,1764},{0,16,733},
{0,11,1853},{0,13,3325},{0,11,2109},{0,36,884},{0,29,90},{0,19,37},{0,17,130},{7,1,2899},{0,19,1764},{0,16,733},{0,11,1853},{12,0,2899},{0,11,1853},{0,23,0},{0,23,0},{0,23,0},{0,14,1},{0,11,580},{0,11,305},{0,11,305},{0,6,325},{0,6,667},{0,5,389},{0,23,0},{0,23,0},{0,23,0},{0,14,1},{2,5,578},{0,11,305},{0,11,305},{0,6,325},{5,1,578},
{0,6,325},{10,3,882},{0,29,90},{1,19,2},{0,17,130},{10,3,882},{18,0,882},{0,17,130},{0,14,884},{18,0,882},{0,14,884},{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},{0,42,918},{0,32,81},{1,21,105},{0,20,109},{0,29,3051},{0,21,1707},{0,19,569},{0,13,1800},{0,16,3672},{0,13,2161},{1,38,888},
{0,32,81},{1,21,41},{0,20,109},{8,2,3048},{0,21,1707},{0,19,569},{0,13,1800},{12,3,3048},{0,13,1800},{0,28,36},{0,28,36},{0,28,36},{0,17,37},{0,16,648},{0,13,269},{0,13,269},{0,9,292},{0,8,824},{0,7,417},{1,25,4},{1,25,4},{1,25,4},{1,16,5},{3,6,648},{0,13,269},{0,13,269},{0,9,292},{8,0,648},{0,9,292},{12,1,882},{0,32,45},{2,21,2},
{0,20,73},{12,1,882},{19,2,882},{0,20,73},{0,16,890},{19,2,882},{0,16,890},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,4,0},{0,4,0},{0,4,0},{0,2,1},{0,2,10},{0,2,10},{1,44,997},{1,34,154},{1,24,229},{1,22,178},{0,35,3048},{0,25,1528},{0,21,324},{0,16,1605},{0,19,3907},{0,15,2138},{2,41,883},{2,32,86},{2,24,42},{1,22,114},{9,5,3048},
{0,25,1528},{0,21,324},{0,16,1605},{15,3,3048},{0,16,1605},{1,31,113},{1,31,113},{1,31,113},{1,19,113},{0,22,648},{0,17,164},{0,17,164},{0,11,193},{0,11,976},{0,9,443},{2,27,2},{2,27,2},{2,27,2},{2,18,1},{6,2,648},{0,17,164},{0,17,164},{0,11,193},{11,0,648},{0,11,193},{13,4,882},{0,36,13},{3,23,4},{0,22,32},{13,4,882},{22,2,882},{0,22,32},
{0,18,884},{22,2,882},{0,18,884},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,10,0},{0,10,0},{0,10,0},{0,6,0},{0,5,58},{0,5,58},{1,49,1173},{1,38,302},{2,26,421},{1,24,321},{0,40,3051},{0,29,1380},{0,23,186},{0,18,1464},{0,21,4201},{0,17,2149},{3,43,883},{3,34,86},{3,26,42},{2,24,114},{12,0,3048},{0,29,1380},{0,23,186},{0,18,1464},{20,0,3048},
{0,18,1464},{1,36,289},{1,36,289},{1,36,289},{1,22,290},{0,27,650},{0,21,100},{0,21,100},{0,13,130},{0,14,1161},{0,13,491},{3,29,2},{3,29,2},{3,29,2},{3,20,1},{8,0,648},{0,21,100},{0,21,100},{0,13,130},{11,3,648},{0,13,130},{14,6,882},{0,40,1},{4,25,1},{0,25,16},{14,6,882},{26,0,882},{0,25,16},{0,20,884},{26,0,882},{0,20,884},{1,0,289},
{1,0,289},{1,0,289},{1,0,289},{0,15,1},{0,15,1},{0,15,1},{0,9,1},{0,7,136},{0,7,136},{2,51,1365},{2,40,494},{2,28,722},{2,26,513},{0,46,3048},{0,32,1269},{0,27,82},{0,20,1341},{0,25,4525},{0,19,2197},{4,45,886},{3,38,90},{4,28,36},{3,26,114},{13,2,3048},{0,32,1269},{0,27,82},{0,20,1341},{21,2,3048},{0,20,1341},{2,38,481},{2,38,481},{2,38,481},
{2,24,482},{0,32,650},{0,25,52},{0,25,52},{0,15,85},{0,17,1345},{0,15,569},{4,31,4},{4,31,4},{4,31,4},{4,22,5},{9,2,648},{0,25,52},{0,25,52},{0,15,85},{16,0,648},{0,15,85},{16,4,882},{1,42,1},{5,27,1},{0,27,1},{16,4,882},{27,2,882},{0,27,1},{0,22,884},{27,2,882},{0,22,884},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{0,21,0},
{0,21,0},{0,21,0},{0,12,1},{0,9,250},{0,9,250},{2,57,1667},{2,44,786},{3,30,1042},{2,29,801},{0,51,3048},{0,36,1157},{0,29,20},{0,22,1236},{0,27,4891},{0,21,2281},{5,47,886},{4,41,86},{5,30,36},{4,28,116},{14,4,3048},{0,36,1157},{0,29,20},{0,22,1236},{25,0,3048},{0,22,1236},{2,43,785},{2,43,785},{2,43,785},{2,27,786},{0,38,648},{0,29,20},{0,29,20},
{0,18,40},{0,19,1594},{0,16,677},{5,33,4},{5,33,4},{5,33,4},{5,24,5},{11,1,648},{0,29,20},{0,29,20},{0,18,40},{17,2,648},{0,18,40},{17,6,882},{2,44,1},{6,29,1},{1,29,1},{17,6,882},{28,4,882},{1,29,1},{0,24,884},{28,4,882},{0,24,884},{2,0,785},{2,0,785},{2,0,785},{2,0,785},{0,26,0},{0,26,0},{0,26,0},{0,16,1},{0,11,400},
{0,11,400},{3,59,1784},{3,46,901},{4,32,1195},{3,31,910},{1,53,3055},{0,40,1094},{1,31,23},{0,25,1175},{0,31,4840},{0,23,2054},{6,49,883},{6,41,81},{6,32,42},{5,30,123},{14,10,3048},{0,40,1058},{1,31,19},{0,25,1139},{28,0,3048},{0,25,1139},{3,46,900},{3,46,900},{3,46,900},{3,30,900},{1,40,654},{1,31,22},{1,31,22},{1,20,38},{0,23,1560},{0,19,533},{6,35,2},
{6,35,2},{6,35,2},{6,26,1},{13,0,648},{0,33,5},{0,33,5},{0,20,13},{20,2,648},{0,20,13},{19,5,882},{3,46,1},{7,31,5},{2,31,1},{19,5,882},{31,4,882},{2,31,1},{0,26,882},{31,4,882},{0,26,882},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{1,29,4},{1,29,4},{1,29,4},{1,18,4},{0,15,377},{0,15,377},{4,61,1772},{4,48,891},{5,34,1195},
{4,33,906},{2,55,3055},{1,42,1094},{2,33,29},{1,27,1175},{0,34,4609},{0,26,1716},{7,51,883},{7,43,81},{7,34,42},{6,32,114},{18,1,3048},{0,44,990},{2,33,25},{0,27,1058},{29,2,3048},{0,27,1058},{4,47,891},{4,47,891},{4,47,891},{4,32,891},{2,42,654},{2,33,29},{2,33,29},{2,22,38},{0,27,1396},{0,21,347},{7,37,2},{7,37,2},{7,37,2},{7,28,1},{14,2,648},
{0,37,1},{0,37,1},{0,23,5},{24,0,648},{0,23,5},{22,0,882},{4,48,1},{8,33,1},{3,33,0},{22,0,882},{31,7,882},{3,33,0},{0,28,882},{31,7,882},{0,28,882},{4,0,890},{4,0,890},{4,0,890},{4,0,890},{2,31,4},{2,31,4},{2,31,4},{2,20,4},{0,19,260},{0,19,260},{5,63,1772},{5,50,891},{6,36,1195},{5,35,906},{3,57,3055},{2,44,1094},{3,35,29},
{2,29,1175},{0,38,4381},{0,29,1436},{8,53,886},{7,47,89},{8,36,36},{7,34,114},{19,3,3048},{0,47,949},{3,35,25},{0,29,995},{30,4,3048},{0,29,995},{5,49,890},{5,49,890},{5,49,890},{5,33,891},{3,44,654},{3,35,29},{3,35,29},{3,24,38},{0,29,1251},{0,24,221},{8,39,4},{8,39,4},{8,39,4},{8,30,4},{16,0,648},{1,39,1},{1,39,1},{0,25,2},{26,1,648},
{0,25,2},{23,2,882},{5,50,1},{9,35,1},{4,35,1},{23,2,882},{28,14,882},{4,35,1},{0,30,882},{28,14,882},{0,30,882},{5,0,890},{5,0,890},{5,0,890},{5,0,890},{3,32,5},{3,32,5},{3,32,5},{3,22,4},{0,23,180},{0,23,180},{6,63,1790},{6,52,891},{7,38,1195},{6,37,906},{4,59,3057},{3,46,1094},{4,37,29},{3,31,1175},{0,42,4185},{0,31,1206},{9,55,886},
{8,49,86},{9,38,36},{8,36,116},{20,5,3048},{0,51,907},{4,37,20},{0,31,950},{31,6,3048},{0,31,950},{6,51,890},{6,51,890},{6,51,890},{6,35,891},{4,46,657},{4,37,29},{4,37,29},{3,26,49},{0,34,1121},{0,27,117},{9,41,4},{9,41,4},{9,41,4},{9,32,5},{17,2,648},{2,41,1},{2,41,1},{1,27,2},{27,3,648},{1,27,2},{24,4,882},{6,52,1},{10,37,1},
{5,37,1},{24,4,882},{28,17,882},{5,37,1},{0,32,884},{28,17,882},{0,32,884},{6,0,890},{6,0,890},{6,0,890},{6,0,890},{4,34,9},{4,34,9},{4,34,9},{4,24,10},{0,27,116},{0,27,116},{8,63,1844},{7,54,901},{8,40,1188},{7,39,910},{5,62,3052},{4,48,1094},{5,39,23},{4,33,1175},{0,44,3969},{0,33,1039},{10,57,885},{10,49,81},{10,40,35},{9,38,123},{23,1,3048},
{0,55,888},{5,39,19},{0,34,907},{29,12,3048},{0,34,907},{7,54,900},{7,54,900},{7,54,900},{7,38,900},{5,48,654},{5,39,22},{5,39,22},{5,28,45},{0,38,990},{0,29,80},{10,43,2},{10,43,2},{10,43,2},{10,34,1},{19,1,648},{3,43,1},{3,43,1},{3,29,1},{29,4,648},{3,29,1},{27,0,882},{7,54,1},{11,39,5},{6,39,1},{27,0,882},{31,17,882},{6,39,1},
{0,34,882},{31,17,882},{0,34,882},{7,0,900},{7,0,900},{7,0,900},{7,0,900},{5,37,4},{5,37,4},{5,37,4},{5,26,4},{0,31,58},{0,31,58},{9,63,1886},{8,56,892},{9,42,1188},{8,41,900},{6,63,3055},{5,50,1094},{6,41,23},{5,35,1175},{0,49,3804},{0,36,935},{11,59,885},{11,51,81},{11,42,35},{10,40,123},{23,6,3048},{0,58,883},{6,41,19},{0,36,886},{30,14,3048},
{0,36,886},{8,55,891},{8,55,891},{8,55,891},{8,40,891},{6,50,654},{6,41,22},{6,41,22},{6,30,45},{0,40,889},{1,31,80},{11,45,2},{11,45,2},{11,45,2},{11,36,1},{20,3,648},{5,43,2},{5,43,2},{4,31,1},{30,6,648},{4,31,1},{27,5,882},{8,56,2},{12,41,2},{7,41,1},{27,5,882},{31,20,882},{7,41,1},{0,36,882},{31,20,882},{0,36,882},{8,0,890},
{8,0,890},{8,0,890},{8,0,890},{6,39,4},{6,39,4},{6,39,4},{6,28,4},{0,34,25},{0,34,25},{10,63,1964},{9,58,892},{10,44,1188},{9,43,900},{7,63,3100},{6,52,1094},{7,43,23},{6,37,1175},{0,51,3640},{0,38,887},{12,61,886},{11,55,89},{12,44,38},{11,42,123},{26,1,3048},{1,60,883},{7,43,19},{0,38,883},{30,17,3048},{0,38,883},{9,57,891},{9,57,891},{9,57,891},
{9,42,891},{7,52,654},{7,43,22},{7,43,22},{7,32,38},{0,44,801},{2,34,86},{12,47,4},{12,47,4},{12,47,4},{12,38,4},{21,5,648},{6,45,2},{6,45,2},{4,33,2},{31,8,648},{4,33,2},{30,0,882},{9,58,2},{13,43,2},{8,43,1},{30,0,882},{28,27,882},{8,43,1},{0,38,882},{28,27,882},{0,38,882},{9,0,890},{9,0,890},{9,0,890},{9,0,890},{7,41,4},
{7,41,4},{7,41,4},{7,30,4},{0,38,5},{0,38,5},{11,63,2078},{10,60,892},{11,46,1188},{10,45,900},{9,63,3181},{7,54,1094},{8,45,35},{7,39,1175},{0,55,3496},{1,40,887},{13,63,886},{12,56,88},{13,46,38},{12,44,110},{27,3,3048},{2,62,883},{7,46,25},{1,40,883},{31,19,3048},{1,40,883},{10,59,891},{10,59,891},{10,59,891},{10,44,891},{8,54,657},{8,45,34},{8,45,34},
{7,34,49},{0,48,756},{3,36,86},{13,49,4},{13,49,4},{13,49,4},{13,40,4},{24,0,648},{6,49,1},{6,49,1},{5,35,2},{31,11,648},{5,35,2},{31,2,882},{10,60,2},{14,45,2},{9,45,1},{31,2,882},{29,29,882},{9,45,1},{0,40,882},{29,29,882},{0,40,882},{10,0,890},{10,0,890},{10,0,890},{10,0,890},{8,42,9},{8,42,9},{8,42,9},{8,32,10},{0,42,1},
{0,42,1},{12,63,2228},{11,63,902},{12,48,1188},{11,47,908},{10,63,3256},{8,57,1095},{9,47,33},{8,41,1164},{0,59,3364},{2,42,889},{14,63,915},{14,57,90},{14,48,35},{13,47,117},{29,2,3048},{4,63,886},{8,48,25},{3,42,885},{29,25,3048},{3,42,885},{11,62,900},{11,62,900},{11,62,900},{11,46,900},{9,57,652},{9,47,29},{9,47,29},{9,36,45},{0,51,691},{4,37,80},{14,51,2},
{14,51,2},{14,51,2},{14,42,2},{24,6,648},{7,51,1},{7,51,1},{7,37,1},{29,17,648},{7,37,1},{31,8,882},{11,63,2},{15,47,8},{10,47,5},{31,8,882},{31,30,882},{10,47,5},{0,42,884},{31,30,882},{0,42,884},{11,0,900},{11,0,900},{11,0,900},{11,0,900},{9,45,4},{9,45,4},{9,45,4},{9,34,4},{1,44,1},{1,44,1},{13,63,2414},{12,63,907},{13,50,1188},
{12,49,900},{11,63,3391},{9,59,1095},{10,49,23},{9,43,1164},{0,63,3276},{3,44,889},{15,63,981},{15,59,90},{15,50,35},{14,48,123},{31,1,3048},{6,63,906},{10,49,19},{4,44,885},{30,27,3048},{4,44,885},{12,63,891},{12,63,891},{12,63,891},{12,48,891},{10,59,652},{10,49,22},{10,49,22},{10,38,45},{0,55,659},{5,39,80},{15,53,2},{15,53,2},{15,53,2},{15,44,2},{27,1,648},
{9,51,2},{9,51,2},{8,39,1},{30,19,648},{8,39,1},{29,20,882},{12,63,17},{16,49,2},{11,49,1},{29,20,882},{31,33,882},{11,49,1},{0,44,884},{31,33,882},{0,44,884},{12,0,890},{12,0,890},{12,0,890},{12,0,890},{10,47,4},{10,47,4},{10,47,4},{10,36,4},{2,46,1},{2,46,1},{15,63,2606},{13,63,987},{14,52,1188},{13,51,900},{13,63,3517},{10,61,1095},{11,51,23},
{10,45,1164},{1,63,3300},{4,46,892},{17,63,1014},{15,63,94},{16,52,38},{15,50,123},{31,6,3048},{8,63,936},{11,51,19},{5,46,885},{31,29,3048},{5,46,885},{13,63,906},{13,63,906},{13,63,906},{13,50,891},{11,61,652},{11,51,22},{11,51,22},{11,40,45},{0,59,651},{6,41,80},{16,55,4},{16,55,4},{16,55,4},{16,46,5},{28,3,648},{10,53,2},{10,53,2},{9,41,1},{31,21,648},
{9,41,1},{30,22,882},{14,63,37},{17,51,2},{12,51,1},{30,22,882},{28,40,882},{12,51,1},{0,46,884},{28,40,882},{0,46,884},{13,0,890},{13,0,890},{13,0,890},{13,0,890},{11,49,4},{11,49,4},{11,49,4},{11,38,4},{3,48,0},{3,48,0},{16,63,2792},{15,63,1079},{15,54,1188},{14,53,900},{14,63,3652},{11,63,1095},{12,53,35},{11,47,1164},{3,63,3436},{5,48,887},{18,63,1080},
{17,62,102},{17,54,38},{16,52,110},{30,15,3048},{10,63,996},{11,54,25},{5,48,883},{31,32,3048},{5,48,883},{14,63,939},{14,63,939},{14,63,939},{14,52,891},{12,62,657},{12,53,34},{12,53,34},{12,42,50},{1,61,651},{7,43,80},{17,57,4},{17,57,4},{17,57,4},{17,48,4},{29,5,648},{11,55,2},{11,55,2},{10,43,1},{31,24,648},{10,43,1},{31,24,882},{16,63,80},{18,53,2},
{13,53,1},{31,24,882},{29,42,882},{13,53,1},{0,48,882},{29,42,882},{0,48,882},{14,0,890},{14,0,890},{14,0,890},{14,0,890},{12,50,9},{12,50,9},{12,50,9},{12,40,9},{4,50,1},{4,50,1},{17,63,3038},{16,63,1268},{16,57,1186},{15,55,908},{15,63,3879},{12,63,1146},{13,55,33},{12,49,1164},{5,63,3667},{6,50,889},{19,63,1205},{18,63,147},{18,56,41},{17,55,117},{31,17,3048},
{12,63,1110},{12,56,20},{7,50,885},{29,38,3048},{7,50,885},{16,63,979},{16,63,979},{16,63,979},{15,54,900},{13,63,670},{13,55,29},{13,55,29},{13,45,41},{2,63,648},{8,46,81},{18,60,1},{18,60,1},{18,60,1},{18,50,2},{31,4,648},{11,59,4},{11,59,4},{11,45,1},{30,29,648},{11,45,1},{31,30,882},{18,63,146},{19,56,5},{14,55,5},{31,30,882},{31,43,882},{14,55,5},
{0,50,884},{31,43,882},{0,50,884},{15,0,900},{15,0,900},{15,0,900},{15,0,900},{13,53,4},{13,53,4},{13,53,4},{13,42,5},{5,52,1},{5,52,1},{18,63,3308},{17,63,1502},{17,59,1186},{16,57,898},{17,63,4077},{14,63,1230},{14,57,33},{13,51,1164},{8,63,3820},{7,52,889},{21,63,1368},{19,63,261},{19,58,41},{18,57,117},{30,26,3048},{14,63,1226},{13,58,20},{8,52,885},{30,40,3048},
{8,52,885},{17,63,1018},{17,63,1018},{17,63,1018},{16,56,890},{14,63,724},{14,57,29},{14,57,29},{14,47,41},{4,63,665},{9,48,88},{19,62,1},{19,62,1},{19,62,1},{19,52,2},{30,13,648},{12,61,1},{12,61,1},{12,47,1},{31,31,648},{12,47,1},{31,35,882},{20,63,193},{20,58,4},{15,57,5},{31,35,882},{27,51,882},{15,57,5},{0,52,884},{27,51,882},{0,52,884},{16,0,890},
{16,0,890},{16,0,890},{16,0,890},{14,55,4},{14,55,4},{14,55,4},{14,44,5},{6,54,1},{6,54,1},{19,63,3614},{18,63,1804},{18,61,1186},{17,59,898},{18,63,4284},{15,63,1417},{15,59,33},{14,53,1164},{9,63,4036},{8,54,892},{22,63,1494},{20,63,405},{20,60,33},{19,59,117},{31,28,3048},{16,63,1395},{14,60,20},{9,54,885},{31,42,3048},{9,54,885},{18,63,1075},{18,63,1075},{18,63,1075},
{17,58,890},{16,63,787},{15,59,29},{15,59,29},{15,48,45},{6,63,705},{10,49,80},{20,63,5},{20,63,5},{20,63,5},{20,54,5},{31,15,648},{13,63,1},{13,63,1},{13,49,1},{31,34,648},{13,49,1},{31,40,882},{22,63,277},{21,60,4},{16,59,5},{31,40,882},{31,49,882},{16,59,5},{0,54,884},{31,49,882},{0,54,884},{17,0,890},{17,0,890},{17,0,890},{17,0,890},{15,57,4},
{15,57,4},{15,57,4},{15,46,5},{7,56,1},{7,56,1},{20,63,4014},{19,63,2174},{19,63,1186},{18,61,898},{19,63,4545},{17,63,1725},{16,62,39},{15,55,1164},{11,63,4300},{9,56,892},{23,63,1656},{22,63,585},{21,62,33},{20,60,108},{31,33,3048},{18,63,1563},{15,62,20},{10,56,885},{31,45,3048},{10,56,885},{19,63,1150},{19,63,1150},{19,63,1150},{18,60,890},{17,63,841},{16,62,35},{16,62,35},
{16,50,50},{8,63,747},{11,51,80},{21,63,20},{21,63,20},{21,63,20},{21,56,5},{31,20,648},{15,63,5},{15,63,5},{14,51,1},{31,37,648},{14,51,1},{29,52,882},{23,63,397},{22,62,4},{17,61,5},{29,52,882},{28,56,882},{17,61,5},{0,56,884},{28,56,882},{0,56,884},{18,0,890},{18,0,890},{18,0,890},{18,0,890},{16,58,10},{16,58,10},{16,58,10},{16,48,9},{8,58,0},
{8,58,0},{22,63,4123},{21,63,2404},{20,63,1278},{19,63,901},{20,63,4626},{18,63,1849},{17,63,38},{16,57,1006},{14,63,4330},{10,58,771},{24,63,1629},{23,63,715},{22,63,65},{22,62,81},{31,38,2814},{20,63,1505},{17,63,34},{11,58,761},{31,48,2814},{11,58,761},{20,63,1278},{20,63,1278},{20,63,1278},{19,62,901},{18,63,948},{17,63,38},{17,63,38},{17,53,41},{10,63,840},{12,54,81},{22,63,65},
{22,63,65},{22,63,65},{22,59,2},{31,26,648},{17,63,34},{17,63,34},{15,53,1},{30,42,648},{15,53,1},{31,50,761},{25,63,425},{23,63,9},{19,63,1},{31,50,761},{31,55,761},{19,63,1},{0,58,761},{31,55,761},{0,58,761},{19,0,900},{19,0,900},{19,0,900},{19,0,900},{17,61,4},{17,61,4},{17,61,4},{17,50,5},{9,60,2},{9,60,2},{23,63,3735},{22,63,2314},{21,63,1395},
{20,63,899},{22,63,4090},{19,63,1618},{18,63,104},{17,58,678},{15,63,3826},{11,59,507},{25,63,1285},{24,63,609},{23,63,122},{23,62,26},{30,45,2249},{21,63,1186},{19,63,74},{13,59,482},{31,50,2249},{13,59,482},{21,63,1395},{21,63,1395},{21,63,1395},{20,63,899},{19,63,1086},{18,63,104},{18,63,104},{18,55,41},{12,63,969},{13,56,81},{23,63,122},{23,63,122},{23,63,122},{23,61,2},{31,31,648},
{19,63,74},{19,63,74},{16,55,1},{31,44,648},{16,55,1},{31,53,481},{27,63,269},{25,63,0},{21,63,0},{31,53,481},{31,57,481},{21,63,0},{0,59,481},{31,57,481},{0,59,481},{20,0,890},{20,0,890},{20,0,890},{20,0,890},{18,63,4},{18,63,4},{18,63,4},{18,52,5},{10,62,2},{10,62,2},{23,63,3399},{23,63,2260},{22,63,1530},{21,63,954},{23,63,3639},{20,63,1402},{19,63,238},
{18,59,405},{17,63,3443},{13,60,297},{26,63,1009},{25,63,525},{25,63,164},{24,63,5},{29,52,1769},{23,63,918},{21,63,113},{14,60,266},{28,56,1769},{14,60,266},{22,63,1530},{22,63,1530},{22,63,1530},{21,63,954},{21,63,1251},{19,63,238},{19,63,238},{19,57,41},{14,63,1105},{14,58,81},{25,63,164},{25,63,164},{25,63,164},{24,62,5},{31,36,648},{21,63,113},{21,63,113},{17,57,1},{31,47,648},
{17,57,1},{31,55,265},{28,63,145},{27,63,4},{24,63,1},{31,55,265},{30,60,265},{24,63,1},{0,60,265},{30,60,265},{0,60,265},{21,0,890},{21,0,890},{21,0,890},{21,0,890},{19,63,13},{19,63,13},{19,63,13},{19,54,5},{12,62,8},{12,62,8},{24,63,3069},{24,63,2257},{23,63,1683},{23,63,1054},{24,63,3258},{22,63,1330},{21,63,378},{19,61,213},{20,63,3102},{14,61,166},{27,63,801},
{26,63,477},{26,63,221},{25,63,20},{30,52,1374},{24,63,758},{23,63,181},{16,61,114},{28,58,1374},{16,61,114},{23,63,1683},{23,63,1683},{23,63,1683},{23,63,1054},{22,63,1401},{21,63,378},{21,63,378},{19,59,46},{16,63,1296},{15,60,81},{26,63,221},{26,63,221},{26,63,221},{25,63,20},{30,45,648},{23,63,181},{23,63,181},{18,59,1},{31,50,648},{18,59,1},{31,58,113},{29,63,61},{28,63,0},
{26,63,1},{31,58,113},{31,60,113},{26,63,1},{0,61,113},{31,60,113},{0,61,113},{22,0,890},{22,0,890},{22,0,890},{22,0,890},{20,63,45},{20,63,45},{20,63,45},{20,56,10},{13,63,25},{13,63,25},{25,63,2860},{25,63,2260},{24,63,1854},{24,63,1210},{25,63,2932},{23,63,1310},{22,63,609},{20,62,81},{21,63,2731},{16,62,94},{28,63,630},{27,63,475},{27,63,306},{26,63,101},{30,56,1032},
{26,63,612},{25,63,290},{18,62,21},{30,58,1032},{18,62,21},{24,63,1854},{24,63,1854},{24,63,1854},{24,63,1210},{23,63,1620},{22,63,609},{22,63,609},{21,61,44},{18,63,1515},{16,62,78},{27,63,306},{27,63,306},{27,63,306},{26,63,101},{29,54,648},{25,63,290},{25,63,290},{19,61,5},{29,56,648},{19,61,5},{31,61,18},{30,63,10},{30,63,1},{29,63,0},{31,61,18},{31,62,18},{29,63,0},
{0,62,20},{31,62,18},{0,62,20},{23,0,900},{23,0,900},{23,0,900},{23,0,900},{21,63,104},{21,63,104},{21,63,104},{21,59,5},{15,63,65},{15,63,65},{26,63,2626},{26,63,2206},{25,63,1915},{25,63,1315},{26,63,2641},{24,63,1333},{23,63,789},{22,63,40},{22,63,2445},{17,63,116},{29,63,524},{28,63,406},{28,63,325},{27,63,170},{31,56,771},{27,63,507},{26,63,320},{20,63,0},{30,60,771},
{20,63,0},{25,63,1915},{25,63,1915},{25,63,1915},{25,63,1315},{24,63,1661},{23,63,789},{23,63,789},{22,62,29},{20,63,1517},{17,63,116},{28,63,325},{28,63,325},{28,63,325},{27,63,170},{31,52,578},{26,63,320},{26,63,320},{20,63,0},{28,60,578},{20,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{24,0,890},
{24,0,890},{24,0,890},{24,0,890},{23,63,164},{23,63,164},{23,63,164},{22,61,5},{17,63,116},{17,63,116},{27,63,2156},{27,63,1884},{26,63,1630},{26,63,1210},{26,63,2081},{25,63,1108},{24,63,705},{23,63,5},{23,63,1927},{19,63,180},{29,63,300},{29,63,236},{29,63,200},{28,63,85},{31,57,451},{28,63,283},{27,63,194},{23,63,1},{29,62,451},{23,63,1},{26,63,1630},{26,63,1630},{26,63,1630},
{26,63,1210},{25,63,1347},{24,63,705},{24,63,705},{23,63,5},{22,63,1229},{19,63,180},{29,63,200},{29,63,200},{29,63,200},{28,63,85},{30,58,338},{27,63,194},{27,63,194},{23,63,1},{31,58,338},{23,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{25,0,890},{25,0,890},{25,0,890},{25,0,890},{24,63,221},
{24,63,221},{24,63,221},{23,63,5},{19,63,180},{19,63,180},{28,63,1782},{27,63,1564},{27,63,1395},{27,63,1123},{27,63,1620},{26,63,937},{25,63,651},{24,63,25},{24,63,1560},{21,63,233},{30,63,150},{30,63,134},{29,63,104},{29,63,40},{31,59,216},{29,63,136},{28,63,90},{25,63,1},{30,62,216},{25,63,1},{27,63,1395},{27,63,1395},{27,63,1395},{27,63,1123},{26,63,1101},{25,63,651},{25,63,651},
{24,63,25},{23,63,998},{21,63,233},{29,63,104},{29,63,104},{29,63,104},{29,63,40},{31,57,162},{28,63,90},{28,63,90},{25,63,1},{29,62,162},{25,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{26,0,890},{26,0,890},{26,0,890},{26,0,890},{25,63,290},{25,63,290},{25,63,290},{24,63,25},{21,63,233},
{21,63,233},{0,34,1570},{0,27,400},{0,19,25},{0,16,481},{0,23,3372},{0,17,2355},{0,15,1053},{0,11,2425},{0,13,3753},{0,11,2681},{0,34,1570},{0,27,400},{0,19,25},{0,16,481},{7,0,3371},{0,17,2355},{0,15,1053},{0,11,2425},{10,2,3371},{0,11,2425},{0,16,0},{0,16,0},{0,16,0},{0,10,1},{0,8,288},{0,7,149},{0,7,149},{0,5,160},{0,4,332},{0,4,200},{0,16,0},
{0,16,0},{0,16,0},{0,10,1},{1,5,288},{0,7,149},{0,7,149},{0,5,160},{4,0,288},{0,5,160},{10,1,1568},{0,27,400},{0,19,25},{0,16,481},{10,1,1568},{17,0,1568},{0,16,481},{0,13,1568},{17,0,1568},{0,13,1568},{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},{0,40,1568},{0,31,296},{0,22,2},
{0,20,373},{0,27,3968},{0,21,2627},{0,17,1107},{0,13,2720},{0,15,4479},{0,11,3065},{0,40,1568},{0,31,296},{0,22,2},{0,20,373},{7,3,3968},{0,21,2627},{0,17,1107},{0,13,2720},{13,0,3968},{0,13,2720},{0,21,1},{0,21,1},{0,21,1},{0,13,0},{0,11,512},{0,9,269},{0,9,269},{0,5,288},{0,5,593},{0,5,337},{0,21,1},{0,21,1},{0,21,1},{0,13,0},{3,1,512},
{0,9,269},{0,9,269},{0,5,288},{3,3,512},{0,5,288},{11,3,1568},{0,31,296},{0,22,2},{0,20,373},{11,3,1568},{18,2,1568},{0,20,373},{0,15,1568},{18,2,1568},{0,15,1568},{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},{0,45,1568},{0,34,221},{0,24,17},{0,22,274},{0,30,4651},{0,23,2924},{0,19,1209},
{0,15,3065},{0,17,5292},{0,13,3465},{0,45,1568},{0,34,221},{0,24,17},{0,22,274},{8,3,4651},{0,23,2924},{0,19,1209},{0,15,3065},{14,1,4651},{0,15,3065},{0,27,0},{0,27,0},{0,27,0},{0,16,0},{0,13,802},{0,12,424},{0,12,424},{0,7,433},{0,7,918},{0,7,533},{0,27,0},{0,27,0},{0,27,0},{0,16,0},{4,0,800},{0,12,424},{0,12,424},{0,7,433},{6,1,800},
{0,7,433},{13,1,1568},{0,34,221},{1,24,2},{0,22,274},{13,1,1568},{19,4,1568},{0,22,274},{0,17,1570},{19,4,1568},{0,17,1570},{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},{0,50,1568},{0,38,145},{0,26,82},{0,24,193},{0,34,5419},{0,25,3275},{0,21,1347},{0,16,3410},{0,17,6220},{0,15,3933},{0,50,1568},
{0,38,145},{1,26,81},{0,24,193},{10,0,5419},{0,25,3275},{0,21,1347},{0,16,3410},{15,2,5419},{0,16,3410},{0,32,0},{0,32,0},{0,32,0},{0,19,0},{0,16,1152},{0,15,605},{0,15,605},{0,9,628},{0,8,1328},{0,7,789},{0,32,0},{0,32,0},{0,32,0},{0,19,0},{3,6,1152},{0,15,605},{0,15,605},{0,9,628},{8,0,1152},{0,9,628},{15,0,1568},{0,38,145},{2,26,2},
{0,24,193},{15,0,1568},{24,1,1568},{0,24,193},{0,19,1570},{24,1,1568},{0,19,1570},{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},{1,53,1633},{0,42,166},{1,29,162},{0,26,209},{0,40,5419},{0,29,3012},{0,25,964},{0,18,3152},{0,21,6513},{0,17,3861},{1,53,1569},{1,42,138},{2,28,74},{1,26,186},{11,3,5419},
{0,29,3012},{0,25,964},{0,18,3152},{18,2,5419},{0,18,3152},{1,34,66},{1,34,66},{1,34,66},{1,21,66},{0,22,1152},{0,19,442},{0,19,442},{0,11,493},{0,11,1480},{0,11,749},{1,34,2},{1,34,2},{1,34,2},{1,21,2},{6,2,1152},{0,19,442},{0,19,442},{0,11,493},{11,0,1152},{0,11,493},{16,2,1568},{0,42,85},{3,28,0},{0,26,128},{16,2,1568},{27,1,1568},{0,26,128},
{0,21,1568},{27,1,1568},{0,21,1568},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,6,0},{0,6,0},{0,6,0},{0,4,1},{0,3,20},{0,3,20},{1,58,1713},{1,44,230},{2,31,354},{1,28,273},{0,45,5419},{0,32,2817},{0,27,682},{0,20,2945},{0,25,6853},{0,19,3825},{2,55,1569},{2,44,138},{3,30,74},{2,28,186},{13,1,5419},{0,32,2817},{0,27,682},{0,20,2945},{19,4,5419},
{0,20,2945},{1,40,145},{1,40,145},{1,40,145},{1,25,146},{0,27,1154},{0,23,338},{0,23,338},{0,13,394},{0,14,1665},{0,13,755},{2,36,2},{2,36,2},{2,36,2},{2,23,2},{8,0,1152},{0,23,338},{0,23,338},{0,13,394},{11,3,1152},{0,13,394},{17,4,1568},{0,46,41},{4,30,1},{0,29,80},{17,4,1568},{27,4,1568},{0,29,80},{0,23,1568},{27,4,1568},{0,23,1568},{1,0,145},
{1,0,145},{1,0,145},{1,0,145},{0,11,1},{0,11,1},{0,11,1},{0,7,0},{0,5,74},{0,5,74},{2,60,1905},{1,49,393},{2,33,531},{1,31,433},{0,50,5419},{0,36,2609},{0,29,468},{0,22,2756},{0,27,7195},{0,21,3825},{3,57,1569},{3,46,138},{4,32,81},{3,30,186},{15,0,5419},{0,36,2609},{0,29,468},{0,22,2756},{24,1,5419},{0,22,2756},{2,42,337},{2,42,337},{2,42,337},
{2,27,338},{0,32,1154},{0,25,244},{0,25,244},{0,16,289},{0,17,1849},{0,15,797},{3,38,2},{3,38,2},{3,38,2},{3,25,2},{9,2,1152},{0,25,244},{0,25,244},{0,16,289},{16,0,1152},{0,16,289},{18,6,1568},{0,51,16},{5,32,2},{0,31,41},{18,6,1568},{28,6,1568},{0,31,41},{0,25,1568},{28,6,1568},{0,25,1568},{2,0,337},{2,0,337},{2,0,337},{2,0,337},{0,17,0},
{0,17,0},{0,17,0},{0,10,0},{0,7,164},{0,7,164},{2,63,2145},{2,51,585},{3,35,851},{2,33,618},{0,55,5420},{0,40,2425},{0,32,274},{0,24,2585},{0,29,7609},{0,23,3861},{4,58,1570},{4,47,136},{5,34,81},{4,32,193},{16,1,5419},{0,40,2425},{0,32,274},{0,24,2585},{25,3,5419},{0,24,2585},{2,47,545},{2,47,545},{2,47,545},{2,30,545},{0,38,1152},{0,29,164},{0,29,164},
{0,18,208},{0,19,2098},{0,17,869},{4,40,0},{4,40,0},{4,40,0},{4,27,1},{11,1,1152},{0,29,164},{0,29,164},{0,18,208},{17,2,1152},{0,18,208},{21,1,1568},{0,54,2},{6,34,2},{0,33,13},{21,1,1568},{29,8,1568},{0,33,13},{0,27,1568},{29,8,1568},{0,27,1568},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,22,0},{0,22,0},{0,22,0},{0,13,1},{0,10,289},
{0,10,289},{3,63,2596},{3,53,934},{3,37,1277},{2,35,964},{0,61,5420},{0,44,2242},{0,35,141},{0,28,2402},{0,32,8131},{0,25,3956},{5,61,1569},{5,50,138},{6,36,74},{5,34,186},{17,4,5419},{0,44,2242},{0,35,141},{0,28,2402},{27,4,5419},{0,28,2402},{3,49,901},{3,49,901},{3,49,901},{3,32,900},{0,44,1152},{0,34,97},{0,34,97},{0,20,145},{0,23,2436},{0,19,989},{5,43,1},
{5,43,1},{5,43,1},{5,30,2},{13,0,1152},{0,34,97},{0,34,97},{0,20,145},{20,2,1152},{0,20,145},{23,0,1568},{1,57,2},{7,36,0},{0,36,1},{23,0,1568},{31,9,1568},{0,36,1},{0,29,1570},{31,9,1568},{0,29,1570},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{0,28,0},{0,28,0},{0,28,0},{0,17,1},{0,13,461},{0,13,461},{4,63,3146},{3,57,1262},{4,40,1731},
{3,37,1284},{1,63,5484},{0,46,2129},{0,38,53},{0,30,2243},{0,36,8615},{0,27,4070},{6,63,1569},{6,52,138},{7,38,74},{6,36,186},{18,6,5419},{0,46,2129},{0,38,53},{0,30,2243},{28,6,5419},{0,30,2243},{3,55,1252},{3,55,1252},{3,55,1252},{3,35,1253},{0,49,1152},{0,38,53},{0,38,53},{0,23,89},{0,25,2763},{0,21,1139},{6,45,1},{6,45,1},{6,45,1},{6,32,2},{14,2,1152},
{0,38,53},{0,38,53},{0,23,89},{24,0,1152},{0,23,89},{24,2,1568},{2,59,2},{8,38,1},{1,38,1},{24,2,1568},{27,17,1568},{1,38,1},{0,31,1570},{27,17,1568},{0,31,1570},{3,0,1252},{3,0,1252},{3,0,1252},{3,0,1252},{0,33,0},{0,33,0},{0,33,0},{0,20,0},{0,15,653},{0,15,653},{5,63,3716},{4,58,1599},{4,42,2134},{4,39,1627},{2,63,5655},{0,51,1983},{0,40,33},
{0,32,2133},{0,38,8925},{0,30,4044},{7,63,1587},{7,54,138},{8,40,80},{7,38,186},{21,1,5419},{0,51,1979},{0,40,29},{0,32,2129},{29,8,5419},{0,32,2129},{4,56,1587},{4,56,1587},{4,56,1587},{4,37,1586},{0,54,1156},{0,41,29},{0,41,29},{0,25,54},{0,27,2988},{0,23,1193},{7,47,1},{7,47,1},{7,47,1},{7,33,2},{16,0,1152},{0,41,25},{0,41,25},{0,25,50},{26,1,1152},
{0,25,50},{25,4,1568},{3,61,2},{9,40,1},{2,40,1},{25,4,1568},{28,19,1568},{2,40,1},{0,33,1568},{28,19,1568},{0,33,1568},{4,0,1586},{4,0,1586},{4,0,1586},{4,0,1586},{0,38,5},{0,38,5},{0,38,5},{0,23,4},{0,17,754},{0,17,754},{6,63,3890},{5,60,1599},{5,44,2134},{5,41,1627},{3,63,5748},{0,55,1975},{1,42,33},{0,33,2085},{0,42,8569},{0,32,3525},{9,63,1634},
{8,55,136},{9,42,80},{8,40,208},{22,3,5419},{0,55,1875},{1,42,29},{0,33,1985},{30,10,5419},{0,33,1985},{5,58,1587},{5,58,1587},{5,58,1587},{5,39,1586},{1,56,1156},{1,43,29},{1,43,29},{1,27,54},{0,31,2736},{0,25,907},{8,48,0},{8,48,0},{8,48,0},{8,35,1},{17,2,1152},{0,45,5},{0,45,5},{0,28,17},{27,3,1152},{0,28,17},{26,6,1568},{4,62,1},{10,42,1},
{3,42,1},{26,6,1568},{29,21,1568},{3,42,1},{0,35,1568},{29,21,1568},{0,35,1568},{5,0,1586},{5,0,1586},{5,0,1586},{5,0,1586},{1,40,5},{1,40,5},{1,40,5},{1,25,4},{0,21,610},{0,21,610},{7,63,4136},{6,63,1589},{7,46,2141},{6,44,1613},{4,63,5895},{2,55,1973},{2,45,43},{2,35,2100},{0,46,8199},{0,34,3051},{10,63,1667},{9,57,131},{10,45,74},{9,43,195},{24,2,5419},
{0,59,1772},{2,45,34},{0,36,1874},{27,17,5419},{0,36,1874},{6,61,1576},{6,61,1576},{6,61,1576},{6,41,1577},{2,59,1161},{2,46,26},{2,46,26},{2,30,49},{0,36,2505},{0,29,616},{9,51,1},{9,51,1},{9,51,1},{9,38,2},{19,1,1152},{0,49,2},{0,49,2},{0,30,4},{29,4,1152},{0,30,4},{28,5,1568},{6,63,13},{11,44,1},{4,44,1},{28,5,1568},{31,22,1568},{4,44,1},
{0,37,1570},{31,22,1568},{0,37,1570},{6,0,1576},{6,0,1576},{6,0,1576},{6,0,1576},{2,43,9},{2,43,9},{2,43,9},{2,27,10},{0,25,468},{0,25,468},{8,63,4436},{7,63,1625},{7,49,2161},{7,46,1613},{6,63,6079},{3,57,1973},{3,47,43},{3,37,2100},{0,49,7908},{0,37,2671},{11,63,1745},{10,59,131},{11,47,74},{10,45,195},{25,4,5419},{0,61,1699},{3,47,34},{0,38,1787},{28,19,5419},
{0,38,1787},{7,63,1576},{7,63,1576},{7,63,1576},{7,43,1577},{3,61,1161},{3,47,34},{3,47,34},{3,32,59},{0,38,2294},{0,31,422},{10,53,1},{10,53,1},{10,53,1},{10,40,2},{20,3,1152},{2,49,2},{2,49,2},{1,32,2},{30,6,1152},{1,32,2},{31,0,1568},{8,63,34},{12,46,1},{5,46,1},{31,0,1568},{28,29,1568},{5,46,1},{0,39,1570},{28,29,1568},{0,39,1570},{7,0,1576},
{7,0,1576},{7,0,1576},{7,0,1576},{3,45,9},{3,45,9},{3,45,9},{3,29,10},{0,29,356},{0,29,356},{9,63,4730},{8,63,1716},{8,50,2134},{8,47,1627},{7,63,6244},{3,61,1977},{4,48,33},{3,40,2100},{0,53,7620},{0,40,2343},{12,63,1832},{11,61,131},{12,48,80},{11,47,195},{26,6,5419},{1,63,1699},{4,48,29},{0,41,1714},{29,21,5419},{0,41,1714},{8,63,1595},{8,63,1595},{8,63,1595},
{8,45,1587},{4,62,1158},{4,49,29},{4,49,29},{4,33,54},{0,42,2098},{0,34,282},{11,55,1},{11,55,1},{11,55,1},{11,42,2},{21,5,1152},{3,51,2},{3,51,2},{2,34,2},{31,8,1152},{2,34,2},{30,9,1568},{9,63,68},{13,48,1},{6,48,1},{30,9,1568},{29,31,1568},{6,48,1},{0,41,1570},{29,31,1568},{0,41,1570},{8,0,1586},{8,0,1586},{8,0,1586},{8,0,1586},{4,47,4},
{4,47,4},{4,47,4},{4,31,5},{0,32,269},{0,32,269},{11,63,5010},{9,63,1878},{9,52,2134},{9,49,1627},{8,63,6508},{4,62,1965},{5,50,33},{4,42,2079},{0,55,7360},{0,42,2067},{14,63,1952},{12,63,149},{13,50,80},{12,48,208},{29,1,5419},{3,63,1787},{5,50,29},{0,43,1651},{30,23,5419},{0,43,1651},{9,63,1622},{9,63,1622},{9,63,1622},{9,47,1587},{5,63,1164},{5,51,29},{5,51,29},
{5,35,54},{0,46,1926},{0,36,186},{12,56,0},{12,56,0},{12,56,0},{12,44,1},{24,0,1152},{3,55,2},{3,55,2},{3,36,2},{31,11,1152},{3,36,2},{31,11,1568},{11,63,116},{14,50,1},{7,50,1},{31,11,1568},{29,34,1568},{7,50,1},{0,43,1570},{29,34,1568},{0,43,1570},{9,0,1586},{9,0,1586},{9,0,1586},{9,0,1586},{5,48,5},{5,48,5},{5,48,5},{5,33,4},{0,36,185},
{0,36,185},{12,63,5316},{11,63,2154},{11,54,2141},{10,52,1613},{10,63,6800},{6,62,1995},{6,53,43},{5,44,2085},{0,59,7068},{0,44,1845},{15,63,2081},{13,63,206},{14,53,74},{13,51,195},{31,0,5419},{5,63,1937},{6,53,34},{0,45,1601},{28,29,5419},{0,45,1601},{10,63,1676},{10,63,1676},{10,63,1676},{10,49,1577},{7,63,1179},{6,54,26},{6,54,26},{6,38,49},{0,49,1764},{0,40,149},{13,59,1},
{13,59,1},{13,59,1},{13,46,1},{24,6,1152},{4,57,1},{4,57,1},{4,38,4},{29,17,1152},{4,38,4},{30,20,1568},{13,63,205},{15,52,1},{8,52,1},{30,20,1568},{31,35,1568},{8,52,1},{0,45,1576},{31,35,1568},{0,45,1576},{10,0,1576},{10,0,1576},{10,0,1576},{10,0,1576},{6,51,9},{6,51,9},{6,51,9},{6,35,10},{0,40,113},{0,40,113},{13,63,5658},{12,63,2435},{12,56,2148},
{11,54,1613},{11,63,7055},{7,63,2090},{7,55,43},{6,46,2085},{0,63,6820},{0,47,1701},{16,63,2216},{14,63,334},{15,55,74},{14,53,195},{30,9,5419},{7,63,2081},{7,55,34},{0,47,1580},{29,31,5419},{0,47,1580},{11,63,1745},{11,63,1745},{11,63,1745},{11,51,1577},{8,63,1220},{7,56,26},{7,56,26},{7,40,49},{0,53,1624},{0,42,145},{14,61,1},{14,61,1},{14,61,1},{14,48,2},{27,1,1152},
{5,59,1},{5,59,1},{5,40,4},{30,19,1152},{5,40,4},{31,22,1568},{15,63,289},{16,54,1},{9,54,1},{31,22,1568},{28,42,1568},{9,54,1},{0,47,1576},{28,42,1568},{0,47,1576},{11,0,1576},{11,0,1576},{11,0,1576},{11,0,1576},{7,53,9},{7,53,9},{7,53,9},{7,37,10},{0,44,61},{0,44,61},{14,63,6036},{13,63,2751},{12,58,2119},{12,55,1627},{12,63,7316},{8,63,2228},{8,57,31},
{7,48,2100},{0,63,6884},{0,49,1606},{17,63,2402},{16,63,500},{16,57,82},{15,55,195},{31,11,5419},{9,63,2195},{8,57,27},{0,49,1570},{29,34,5419},{0,49,1570},{12,63,1811},{12,63,1811},{12,63,1811},{12,53,1587},{9,63,1286},{8,57,22},{8,57,22},{8,41,56},{0,57,1508},{1,44,145},{15,63,1},{15,63,1},{15,63,1},{15,50,2},{28,3,1152},{6,61,1},{6,61,1},{6,42,4},{31,21,1152},
{6,42,4},{31,27,1568},{17,63,410},{17,56,1},{10,56,1},{31,27,1568},{29,44,1568},{10,56,1},{0,49,1570},{29,44,1568},{0,49,1570},{12,0,1586},{12,0,1586},{12,0,1586},{12,0,1586},{8,55,4},{8,55,4},{8,55,4},{8,39,5},{0,48,34},{0,48,34},{15,63,6450},{14,63,3135},{13,60,2119},{13,57,1627},{13,63,7661},{10,63,2448},{9,59,31},{8,50,2079},{2,63,7196},{0,51,1580},{19,63,2594},
{17,63,698},{16,59,73},{16,57,194},{31,16,5419},{11,63,2379},{9,59,27},{1,51,1570},{30,36,5419},{1,51,1570},{13,63,1910},{13,63,1910},{13,63,1910},{13,55,1587},{10,63,1388},{9,59,22},{9,59,22},{9,43,56},{0,61,1416},{2,46,145},{16,63,4},{16,63,4},{16,63,4},{16,52,1},{29,5,1152},{7,63,1},{7,63,1},{7,44,4},{31,24,1152},{7,44,4},{31,32,1568},{19,63,530},{18,58,1},
{11,58,1},{31,32,1568},{30,46,1568},{11,58,1},{0,51,1570},{30,46,1568},{0,51,1570},{13,0,1586},{13,0,1586},{13,0,1586},{13,0,1586},{9,57,4},{9,57,4},{9,57,4},{9,41,5},{0,51,10},{0,51,10},{16,63,6900},{15,63,3657},{15,62,2128},{14,60,1616},{15,63,8023},{11,63,2845},{10,61,33},{9,52,2085},{5,63,7651},{1,54,1584},{20,63,2866},{18,63,1011},{18,61,69},{17,59,181},{31,22,5419},
{13,63,2657},{10,61,24},{2,53,1577},{28,42,5419},{2,53,1577},{15,63,2057},{15,63,2057},{15,63,2057},{14,58,1577},{12,63,1476},{10,61,29},{10,61,29},{10,46,54},{0,63,1324},{4,47,137},{17,63,37},{17,63,37},{17,63,37},{17,54,1},{31,4,1152},{9,63,4},{9,63,4},{7,47,2},{30,29,1152},{7,47,2},{31,38,1568},{21,63,637},{19,60,5},{12,60,4},{31,38,1568},{31,48,1568},{12,60,4},
{0,53,1576},{31,48,1568},{0,53,1576},{14,0,1576},{14,0,1576},{14,0,1576},{14,0,1576},{10,59,10},{10,59,10},{10,59,10},{10,44,10},{0,56,0},{0,56,0},{18,63,7332},{16,63,4196},{16,63,2175},{15,62,1616},{16,63,8348},{13,63,3285},{11,63,33},{10,54,2085},{8,63,8004},{2,56,1584},{21,63,3112},{20,63,1281},{19,63,69},{18,61,181},{31,27,5419},{15,63,2897},{11,63,24},{3,55,1577},{29,44,5419},
{3,55,1577},{16,63,2171},{16,63,2171},{16,63,2171},{15,60,1577},{13,63,1590},{11,63,29},{11,63,29},{11,48,49},{2,63,1424},{4,50,145},{19,63,65},{19,63,65},{19,63,65},{18,56,1},{30,13,1152},{11,63,20},{11,63,20},{9,48,4},{31,31,1152},{9,48,4},{30,47,1568},{23,63,785},{20,62,4},{13,62,4},{30,47,1568},{31,51,1568},{13,62,4},{0,55,1576},{31,51,1568},{0,55,1576},{15,0,1576},
{15,0,1576},{15,0,1576},{15,0,1576},{11,61,10},{11,61,10},{11,61,10},{11,46,10},{1,58,0},{1,58,0},{19,63,7014},{17,63,4230},{17,63,2294},{16,63,1595},{17,63,7865},{14,63,3114},{12,63,85},{12,55,1713},{8,63,7436},{3,57,1268},{22,63,2794},{21,63,1221},{20,63,113},{19,61,114},{31,31,4803},{17,63,2648},{13,63,61},{4,57,1253},{31,44,4803},{4,57,1253},{17,63,2294},{17,63,2294},{17,63,2294},
{16,62,1587},{14,63,1740},{12,63,85},{12,63,85},{12,49,56},{3,63,1571},{5,52,145},{20,63,113},{20,63,113},{20,63,113},{19,58,1},{31,15,1152},{13,63,61},{13,63,61},{10,50,4},{31,34,1152},{10,50,4},{31,47,1250},{24,63,680},{21,63,4},{15,63,0},{31,47,1250},{31,53,1250},{15,63,0},{0,57,1252},{31,53,1250},{0,57,1252},{16,0,1586},{16,0,1586},{16,0,1586},{16,0,1586},{12,63,4},
{12,63,4},{12,63,4},{12,47,8},{2,60,0},{2,60,0},{19,63,6534},{18,63,4116},{18,63,2435},{17,63,1590},{18,63,7164},{15,63,2809},{14,63,161},{12,57,1256},{10,63,6748},{5,58,909},{23,63,2340},{22,63,1065},{21,63,164},{20,62,41},{31,34,4056},{18,63,2211},{15,63,113},{6,58,884},{31,46,4056},{6,58,884},{18,63,2435},{18,63,2435},{18,63,2435},{17,63,1590},{16,63,1923},{14,63,161},{14,63,161},
{13,51,56},{6,63,1729},{6,54,145},{21,63,164},{21,63,164},{21,63,164},{20,60,0},{31,20,1152},{15,63,113},{15,63,113},{11,52,4},{31,37,1152},{11,52,4},{31,49,882},{25,63,482},{23,63,0},{18,63,1},{31,49,882},{30,56,882},{18,63,1},{0,58,884},{30,56,882},{0,58,884},{17,0,1586},{17,0,1586},{17,0,1586},{17,0,1586},{13,63,13},{13,63,13},{13,63,13},{13,49,5},{3,62,0},
{3,62,0},{21,63,6091},{20,63,4022},{19,63,2609},{18,63,1640},{19,63,6490},{16,63,2617},{15,63,318},{14,58,834},{11,63,6135},{6,59,598},{24,63,1881},{23,63,931},{22,63,245},{21,63,5},{31,38,3318},{20,63,1733},{17,63,202},{8,59,545},{31,48,3318},{8,59,545},{19,63,2609},{19,63,2609},{19,63,2609},{18,63,1640},{17,63,2086},{15,63,318},{15,63,318},{14,54,54},{8,63,1868},{8,55,137},{22,63,245},
{22,63,245},{22,63,245},{21,62,2},{31,26,1152},{17,63,202},{17,63,202},{11,55,2},{30,42,1152},{11,55,2},{31,52,545},{26,63,305},{25,63,4},{20,63,1},{31,52,545},{30,58,545},{20,63,1},{0,59,545},{30,58,545},{0,59,545},{18,0,1576},{18,0,1576},{18,0,1576},{18,0,1576},{15,63,29},{15,63,29},{15,63,29},{14,52,10},{5,62,5},{5,62,5},{22,63,5719},{21,63,3980},{20,63,2834},
{19,63,1745},{20,63,6050},{18,63,2457},{16,63,536},{15,59,515},{14,63,5674},{8,60,385},{25,63,1573},{24,63,861},{23,63,338},{22,63,10},{30,45,2753},{21,63,1438},{19,63,290},{10,60,313},{31,50,2753},{10,60,313},{20,63,2834},{20,63,2834},{20,63,2834},{19,63,1745},{18,63,2284},{16,63,536},{16,63,536},{15,56,54},{10,63,2064},{9,57,137},{23,63,338},{23,63,338},{23,63,338},{22,63,10},{31,31,1152},
{19,63,290},{19,63,290},{12,57,2},{31,44,1152},{12,57,2},{31,55,313},{28,63,181},{26,63,1},{23,63,0},{31,55,313},{31,58,313},{23,63,0},{0,60,313},{31,58,313},{0,60,313},{19,0,1576},{19,0,1576},{19,0,1576},{19,0,1576},{16,63,52},{16,63,52},{16,63,52},{15,54,10},{7,62,25},{7,62,25},{22,63,5399},{22,63,3974},{21,63,3035},{20,63,1875},{21,63,5619},{19,63,2378},{18,63,776},
{16,60,294},{15,63,5258},{9,61,225},{26,63,1333},{25,63,813},{24,63,425},{23,63,65},{29,52,2273},{23,63,1218},{20,63,353},{12,61,146},{28,56,2273},{12,61,146},{21,63,3035},{21,63,3035},{21,63,3035},{20,63,1875},{19,63,2518},{18,63,776},{18,63,776},{16,58,49},{11,63,2323},{10,59,137},{24,63,425},{24,63,425},{24,63,425},{23,63,65},{31,36,1152},{20,63,353},{20,63,353},{13,59,2},{31,47,1152},
{13,59,2},{31,57,145},{28,63,85},{28,63,4},{26,63,1},{31,57,145},{31,60,145},{26,63,1},{0,61,145},{31,60,145},{0,61,145},{20,0,1586},{20,0,1586},{20,0,1586},{20,0,1586},{17,63,85},{17,63,85},{17,63,85},{16,56,5},{8,63,40},{8,63,40},{23,63,5143},{23,63,4004},{22,63,3254},{21,63,2070},{22,63,5274},{20,63,2310},{19,63,1062},{17,61,133},{17,63,5011},{10,63,161},{27,63,1161},
{26,63,801},{26,63,545},{25,63,164},{30,52,1878},{24,63,1094},{22,63,461},{13,62,42},{28,58,1878},{13,62,42},{22,63,3254},{22,63,3254},{22,63,3254},{21,63,2070},{20,63,2833},{19,63,1062},{19,63,1062},{17,60,49},{14,63,2577},{11,61,137},{26,63,545},{26,63,545},{26,63,545},{25,63,164},{30,45,1152},{22,63,461},{22,63,461},{14,61,2},{31,50,1152},{14,61,2},{31,60,41},{30,63,25},{29,63,1},
{28,63,0},{31,60,41},{31,61,41},{28,63,0},{0,62,41},{31,61,41},{0,62,41},{21,0,1586},{21,0,1586},{21,0,1586},{21,0,1586},{18,63,136},{18,63,136},{18,63,136},{17,58,5},{10,63,80},{10,63,80},{24,63,4882},{24,63,4070},{23,63,3532},{22,63,2360},{24,63,4945},{21,63,2422},{20,63,1433},{18,63,58},{20,63,4717},{12,63,157},{28,63,1026},{27,63,835},{27,63,666},{26,63,305},{30,56,1536},
{26,63,996},{24,63,628},{16,63,1},{30,58,1536},{16,63,1},{23,63,3532},{23,63,3532},{23,63,3532},{22,63,2360},{22,63,3110},{20,63,1433},{20,63,1433},{18,62,50},{16,63,2939},{12,63,157},{27,63,666},{27,63,666},{27,63,666},{26,63,305},{29,54,1152},{24,63,628},{24,63,628},{16,63,1},{29,56,1152},{16,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},
{0,63,0},{31,63,0},{0,63,0},{22,0,1576},{22,0,1576},{22,0,1576},{22,0,1576},{19,63,221},{19,63,221},{19,63,221},{18,60,9},{12,63,157},{12,63,157},{25,63,4212},{24,63,3590},{24,63,3106},{23,63,2201},{24,63,4129},{22,63,2101},{21,63,1301},{19,63,13},{20,63,3869},{14,63,233},{28,63,706},{28,63,562},{28,63,481},{27,63,218},{30,58,1067},{27,63,699},{25,63,442},{18,63,1},{31,58,1067},
{18,63,1},{24,63,3106},{24,63,3106},{24,63,3106},{23,63,2201},{23,63,2668},{21,63,1301},{21,63,1301},{19,63,13},{18,63,2523},{14,63,233},{28,63,481},{28,63,481},{28,63,481},{27,63,218},{31,50,800},{25,63,442},{25,63,442},{18,63,1},{31,55,800},{18,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{23,0,1576},
{23,0,1576},{23,0,1576},{23,0,1576},{20,63,325},{20,63,325},{20,63,325},{19,62,9},{14,63,233},{14,63,233},{26,63,3642},{25,63,3132},{25,63,2771},{24,63,2070},{25,63,3444},{23,63,1834},{22,63,1205},{20,63,8},{21,63,3219},{16,63,346},{29,63,456},{28,63,370},{28,63,289},{28,63,145},{31,56,683},{28,63,451},{27,63,290},{21,63,1},{30,60,683},{21,63,1},{25,63,2771},{25,63,2771},{25,63,2771},
{24,63,2070},{24,63,2273},{22,63,1205},{22,63,1205},{20,63,8},{20,63,2121},{16,63,346},{28,63,289},{28,63,289},{28,63,289},{28,63,145},{30,56,512},{27,63,290},{27,63,290},{21,63,1},{30,58,512},{21,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{24,0,1586},{24,0,1586},{24,0,1586},{24,0,1586},{22,63,421},
{22,63,421},{22,63,421},{20,63,8},{16,63,346},{16,63,346},{26,63,3162},{26,63,2742},{26,63,2486},{25,63,1947},{26,63,2877},{24,63,1641},{23,63,1145},{22,63,52},{22,63,2673},{18,63,458},{29,63,264},{29,63,200},{29,63,164},{28,63,81},{31,58,384},{28,63,243},{28,63,162},{23,63,1},{31,60,384},{23,63,1},{26,63,2486},{26,63,2486},{26,63,2486},{25,63,1947},{24,63,1969},{23,63,1145},{23,63,1145},
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{0,24,650},{0,34,6670},{0,27,4445},{0,23,1886},{0,16,4577},{0,19,7493},{0,15,5130},{0,51,2665},{0,40,530},{0,28,2},{0,24,650},{10,1,6669},{0,27,4445},{0,23,1886},{0,16,4577},{17,0,6669},{0,16,4577},{0,27,1},{0,27,1},{0,27,1},{0,16,1},{0,14,841},{0,13,442},{0,13,442},{0,7,458},{0,7,965},{0,7,558},{0,27,1},{0,27,1},{0,27,1},{0,16,1},{4,0,841},
{0,13,442},{0,13,442},{0,7,458},{7,0,841},{0,7,458},{15,1,2665},{0,40,530},{0,28,2},{0,24,650},{15,1,2665},{25,0,2665},{0,24,650},{0,19,2665},{25,0,2665},{0,19,2665},{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},{0,56,2665},{0,44,410},{0,30,17},{0,28,522},{0,38,7538},{0,29,4826},{0,25,2006},
{0,18,5002},{0,21,8547},{0,16,5681},{0,56,2665},{0,44,410},{0,30,17},{0,28,522},{11,1,7538},{0,29,4826},{0,25,2006},{0,18,5002},{17,2,7538},{0,18,5002},{0,32,1},{0,32,1},{0,32,1},{0,19,1},{0,16,1201},{0,15,628},{0,15,628},{0,9,653},{0,9,1382},{0,9,822},{0,32,1},{0,32,1},{0,32,1},{0,19,1},{5,0,1201},{0,15,628},{0,15,628},{0,9,653},{8,0,1201},
{0,9,653},{16,2,2665},{0,44,410},{1,30,2},{0,28,522},{16,2,2665},{28,0,2665},{0,28,522},{0,21,2665},{28,0,2665},{0,21,2665},{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},{0,62,2665},{0,49,325},{0,33,65},{0,30,405},{0,41,8493},{0,31,5261},{0,27,2162},{0,20,5477},{0,23,9705},{0,18,6259},{0,62,2665},
{0,49,325},{0,33,65},{0,30,405},{11,4,8493},{0,31,5261},{0,27,2162},{0,20,5477},{17,4,8493},{0,20,5477},{0,38,0},{0,38,0},{0,38,0},{0,23,1},{0,19,1625},{0,17,821},{0,17,821},{0,11,898},{0,10,1874},{0,9,1094},{0,38,0},{0,38,0},{0,38,0},{0,23,1},{5,2,1625},{0,17,821},{0,17,821},{0,11,898},{8,2,1625},{0,11,898},{18,1,2665},{0,49,325},{2,32,1},
{0,30,405},{18,1,2665},{29,2,2665},{0,30,405},{0,23,2665},{29,2,2665},{0,23,2665},{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},{0,63,2777},{0,51,221},{0,35,178},{0,32,306},{0,45,9669},{0,34,5810},{0,29,2382},{0,22,6054},{0,25,11123},{0,20,6989},{1,63,2741},{0,51,221},{1,35,137},{0,32,306},{13,1,9669},
{0,34,5810},{0,29,2382},{0,22,6054},{19,4,9669},{0,22,6054},{0,44,0},{0,44,0},{0,44,0},{0,26,1},{0,22,2178},{0,19,1108},{0,19,1108},{0,11,1213},{0,11,2506},{0,11,1469},{0,44,0},{0,44,0},{0,44,0},{0,26,1},{6,2,2178},{0,19,1108},{0,19,1108},{0,11,1213},{11,0,2178},{0,11,1213},{20,0,2665},{0,51,221},{3,34,1},{0,32,306},{20,0,2665},{31,3,2665},{0,32,306},
{0,25,2669},{31,3,2665},{0,25,2669},{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},{1,63,2949},{0,55,209},{1,37,242},{0,35,285},{0,50,9669},{0,38,5486},{0,32,1938},{0,24,5733},{0,27,11477},{0,22,6887},{2,63,2789},{0,55,209},{2,37,137},{0,35,285},{15,0,9669},{0,38,5486},{0,32,1938},{0,24,5733},{24,1,9669},
{0,24,5733},{1,46,64},{1,46,64},{1,46,64},{1,28,65},{0,27,2180},{0,23,932},{0,23,932},{0,15,1037},{0,14,2691},{0,13,1421},{1,46,0},{1,46,0},{1,46,0},{1,28,1},{8,0,2178},{0,23,932},{0,23,932},{0,15,1037},{11,3,2178},{0,15,1037},{21,2,2665},{0,55,145},{4,36,2},{0,35,221},{21,2,2665},{31,6,2665},{0,35,221},{0,27,2669},{31,6,2665},{0,27,2669},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,5,1},{0,5,1},{0,5,1},{0,3,1},{0,3,17},{0,3,17},{2,63,3285},{1,57,273},{2,39,434},{1,37,349},{0,56,9670},{0,42,5186},{0,34,1530},{0,26,5430},{0,29,11903},{0,24,6821},{3,63,2873},{1,57,209},{3,39,137},{1,37,285},{16,1,9669},{0,42,5186},{0,34,1530},{0,26,5430},{25,3,9669},{0,26,5430},{1,51,128},{1,51,128},{1,51,128},
{1,31,129},{0,32,2180},{0,27,772},{0,27,772},{0,16,865},{0,17,2875},{0,15,1409},{2,47,1},{2,47,1},{2,47,1},{2,30,1},{9,2,2178},{0,27,772},{0,27,772},{0,16,865},{16,0,2178},{0,16,865},{23,0,2665},{0,59,85},{5,38,2},{0,37,146},{23,0,2665},{31,9,2665},{0,37,146},{0,29,2669},{31,9,2665},{0,29,2669},{1,0,128},{1,0,128},{1,0,128},{1,0,128},{0,11,0},
{0,11,0},{0,11,0},{0,6,1},{0,5,65},{0,5,65},{3,63,3785},{1,61,405},{2,41,653},{1,39,466},{0,61,9669},{0,44,4909},{0,36,1190},{0,28,5145},{0,32,12358},{0,26,6791},{4,63,2966},{2,59,209},{4,41,154},{2,39,285},{18,0,9669},{0,44,4909},{0,36,1190},{0,28,5145},{30,0,9669},{0,28,5145},{2,53,320},{2,53,320},{2,53,320},{2,33,321},{0,38,2178},{0,31,628},{0,31,628},
{0,18,730},{0,19,3124},{0,17,1427},{3,49,1},{3,49,1},{3,49,1},{3,32,0},{11,1,2178},{0,31,628},{0,31,628},{0,18,730},{17,2,2178},{0,18,730},{24,2,2665},{0,63,41},{6,40,2},{0,39,89},{24,2,2665},{30,14,2665},{0,39,89},{0,31,2669},{30,14,2665},{0,31,2669},{1,0,320},{1,0,320},{1,0,320},{1,0,320},{0,16,0},{0,16,0},{0,16,0},{0,10,1},{0,7,149},
{0,7,149},{4,63,4514},{2,63,630},{3,45,1013},{2,41,681},{1,63,9738},{0,49,4610},{0,40,833},{0,30,4849},{0,36,12905},{0,29,6798},{6,63,3101},{4,60,208},{5,43,149},{3,41,286},{18,6,9669},{0,49,4610},{0,40,833},{0,30,4849},{28,6,9669},{0,30,4849},{2,59,545},{2,59,545},{2,59,545},{2,37,545},{0,44,2178},{0,34,493},{0,34,493},{0,22,584},{0,23,3462},{0,19,1493},{4,52,0},
{4,52,0},{4,52,0},{4,34,1},{13,0,2178},{0,34,493},{0,34,493},{0,22,584},{20,2,2178},{0,22,584},{26,1,2665},{2,63,85},{7,42,4},{0,41,52},{26,1,2665},{31,16,2665},{0,41,52},{0,33,2669},{31,16,2665},{0,33,2669},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,22,0},{0,22,0},{0,22,0},{0,13,1},{0,10,289},{0,10,289},{4,63,5330},{3,63,1018},{3,47,1406},
{2,43,966},{2,63,9981},{0,53,4366},{0,42,585},{0,33,4609},{0,38,13451},{0,31,6834},{7,63,3233},{5,62,208},{6,45,149},{4,42,285},{21,1,9669},{0,53,4366},{0,42,585},{0,33,4609},{29,8,9669},{0,33,4609},{3,61,865},{3,61,865},{3,61,865},{3,39,865},{0,49,2178},{0,38,377},{0,38,377},{0,24,461},{0,25,3789},{0,21,1589},{5,54,0},{5,54,0},{5,54,0},{5,36,1},{14,2,2178},
{0,38,377},{0,38,377},{0,24,461},{24,0,2178},{0,24,461},{28,0,2665},{3,63,153},{8,44,5},{0,44,20},{28,0,2665},{31,19,2665},{0,44,20},{0,35,2669},{31,19,2665},{0,35,2669},{3,0,865},{3,0,865},{3,0,865},{3,0,865},{0,27,1},{0,27,1},{0,27,1},{0,16,1},{0,13,442},{0,13,442},{5,63,6270},{3,63,1626},{4,49,1866},{3,45,1286},{2,63,10381},{0,55,4133},{0,45,401},
{0,35,4366},{0,42,14023},{0,32,6917},{8,63,3434},{6,63,242},{7,47,149},{5,44,285},{22,3,9669},{0,55,4133},{0,45,401},{0,35,4366},{30,10,9669},{0,35,4366},{3,63,1226},{3,63,1226},{3,63,1226},{3,42,1201},{0,54,2178},{0,42,277},{0,42,277},{0,26,356},{0,27,4170},{0,23,1721},{6,56,0},{6,56,0},{6,56,0},{6,38,1},{16,0,2178},{0,42,277},{0,42,277},{0,26,356},{26,1,2178},
{0,26,356},{29,2,2665},{5,63,232},{9,46,5},{0,46,5},{29,2,2665},{31,22,2665},{0,46,5},{0,37,2669},{31,22,2665},{0,37,2669},{3,0,1201},{3,0,1201},{3,0,1201},{3,0,1201},{0,32,1},{0,32,1},{0,32,1},{0,19,1},{0,15,628},{0,15,628},{6,63,7374},{4,63,2339},{4,51,2411},{3,48,1715},{3,63,10950},{0,59,3909},{0,47,257},{0,37,4141},{0,44,14641},{0,34,7031},{9,63,3638},
{7,63,320},{8,49,154},{6,46,285},{24,1,9669},{0,59,3909},{0,47,257},{0,37,4141},{31,12,9669},{0,37,4141},{4,63,1714},{4,63,1714},{4,63,1714},{4,44,1665},{0,59,2180},{0,46,193},{0,46,193},{0,28,269},{0,31,4582},{0,25,1889},{7,58,0},{7,58,0},{7,58,0},{7,40,1},{17,2,2178},{0,46,193},{0,46,193},{0,28,269},{27,3,2178},{0,28,269},{31,0,2665},{8,63,313},{10,48,2},
{1,48,2},{31,0,2665},{30,27,2665},{1,48,2},{0,39,2669},{30,27,2665},{0,39,2669},{3,0,1665},{3,0,1665},{3,0,1665},{3,0,1665},{0,38,0},{0,38,0},{0,38,0},{0,23,1},{0,17,821},{0,17,821},{7,63,8807},{5,63,3388},{5,53,3082},{4,49,2230},{4,63,11766},{0,63,3686},{0,51,134},{0,39,3909},{0,46,15438},{0,37,7214},{11,63,3853},{8,63,457},{9,51,149},{7,49,286},{25,4,9669},
{0,63,3686},{0,51,134},{0,39,3909},{28,19,9669},{0,39,3909},{5,63,2427},{5,63,2427},{5,63,2427},{4,47,2179},{0,63,2210},{0,49,128},{0,49,128},{0,31,193},{0,34,5117},{0,29,2123},{8,60,0},{8,60,0},{8,60,0},{8,42,1},{19,1,2178},{0,49,128},{0,49,128},{0,31,193},{29,4,2178},{0,31,193},{31,6,2665},{9,63,405},{11,50,4},{2,50,4},{31,6,2665},{31,29,2665},{2,50,4},
{0,42,2669},{31,29,2665},{0,42,2669},{4,0,2178},{4,0,2178},{4,0,2178},{4,0,2178},{0,44,0},{0,44,0},{0,44,0},{0,26,1},{0,19,1108},{0,19,1108},{7,63,10230},{6,63,4421},{6,55,3705},{4,52,2725},{5,63,12634},{0,63,3719},{0,53,77},{0,41,3727},{0,51,15978},{0,39,7289},{12,63,4050},{10,63,629},{10,53,149},{8,50,285},{26,6,9669},{0,63,3718},{0,53,76},{0,41,3726},{29,21,9669},
{0,41,3726},{5,63,3050},{5,63,3050},{5,63,3050},{5,49,2690},{1,63,2325},{0,53,73},{0,53,73},{0,33,118},{0,36,5499},{0,31,2266},{9,62,0},{9,62,0},{9,62,0},{9,44,1},{20,3,2178},{0,53,72},{0,53,72},{0,33,117},{30,6,2178},{0,33,117},{31,12,2665},{11,63,521},{12,52,5},{3,52,4},{31,12,2665},{31,32,2665},{3,52,4},{0,44,2669},{31,32,2665},{0,44,2669},{5,0,2689},
{5,0,2689},{5,0,2689},{5,0,2689},{0,49,1},{0,49,1},{0,49,1},{0,29,2},{0,21,1341},{0,21,1341},{9,63,10738},{7,63,4899},{7,57,3705},{5,54,2725},{6,63,13045},{1,63,4002},{1,55,77},{0,43,3642},{0,53,15510},{0,42,6577},{13,63,4302},{11,63,857},{11,55,149},{9,52,285},{29,1,9669},{2,63,3954},{1,55,76},{0,43,3561},{30,23,9669},{0,43,3561},{6,63,3173},{6,63,3173},{6,63,3173},
{6,51,2690},{2,63,2427},{1,55,73},{1,55,73},{1,35,118},{0,40,5171},{0,32,1846},{10,63,4},{10,63,4},{10,63,4},{10,46,1},{21,5,2178},{0,57,32},{0,57,32},{0,35,72},{31,8,2178},{0,35,72},{31,17,2665},{13,63,680},{13,54,5},{3,55,4},{31,17,2665},{31,35,2665},{3,55,4},{0,46,2669},{31,35,2665},{0,46,2669},{6,0,2689},{6,0,2689},{6,0,2689},{6,0,2689},{1,51,1},
{1,51,1},{1,51,1},{1,31,2},{0,25,1145},{0,25,1145},{10,63,11278},{8,63,5402},{8,58,3742},{6,56,2725},{7,63,13510},{3,63,4314},{2,57,77},{1,45,3642},{0,57,15046},{0,44,5927},{14,63,4590},{12,63,1171},{12,57,149},{10,54,285},{30,3,9669},{3,63,4265},{2,57,76},{0,45,3414},{31,25,9669},{0,45,3414},{7,63,3314},{7,63,3314},{7,63,3314},{7,53,2690},{4,63,2532},{2,57,73},{2,57,73},
{2,37,118},{0,44,4867},{0,36,1470},{11,63,25},{11,63,25},{11,63,25},{11,48,1},{24,0,2178},{0,61,8},{0,61,8},{0,38,40},{31,11,2178},{0,38,40},{31,22,2665},{15,63,832},{14,56,5},{4,57,4},{31,22,2665},{30,40,2665},{4,57,4},{0,47,2677},{30,40,2665},{0,47,2677},{7,0,2689},{7,0,2689},{7,0,2689},{7,0,2689},{2,53,1},{2,53,1},{2,53,1},{2,33,2},{0,29,965},
{0,29,965},{11,63,11942},{10,63,6090},{9,62,3723},{8,58,2734},{9,63,14053},{4,63,4863},{3,59,79},{2,48,3633},{0,61,14558},{0,46,5283},{16,63,4858},{14,63,1556},{13,60,138},{11,57,299},{30,9,9669},{6,63,4594},{3,59,75},{0,48,3233},{29,31,9669},{0,48,3233},{9,63,3505},{9,63,3505},{9,63,3505},{8,55,2690},{5,63,2645},{3,61,72},{3,61,72},{3,39,117},{0,46,4539},{0,38,1091},{12,63,64},
{12,63,64},{12,63,64},{12,50,1},{24,6,2178},{1,63,10},{1,63,10},{0,40,13},{29,17,2178},{0,40,13},{31,28,2665},{17,63,1053},{15,59,2},{5,59,2},{31,28,2665},{31,42,2665},{5,59,2},{0,50,2669},{31,42,2665},{0,50,2669},{8,0,2689},{8,0,2689},{8,0,2689},{8,0,2689},{3,55,5},{3,55,5},{3,55,5},{3,36,5},{0,34,794},{0,34,794},{12,63,12466},{11,63,6718},{10,62,3738},
{8,60,2723},{10,63,14554},{6,63,5363},{4,61,87},{3,50,3633},{0,63,14190},{0,49,4774},{17,63,5158},{15,63,1938},{14,62,138},{12,59,282},{31,11,9669},{8,63,4806},{4,61,86},{0,50,3110},{29,34,9669},{0,50,3110},{10,63,3658},{10,63,3658},{10,63,3658},{9,57,2690},{6,63,2795},{4,62,66},{4,62,66},{4,41,131},{0,51,4269},{0,40,833},{14,63,100},{14,63,100},{14,63,100},{13,52,1},{27,1,2178},
{3,63,34},{3,63,34},{0,43,2},{30,19,2178},{0,43,2},{31,33,2665},{19,63,1241},{16,61,5},{6,61,2},{31,33,2665},{31,45,2665},{6,61,2},{0,52,2669},{31,45,2665},{0,52,2669},{9,0,2689},{9,0,2689},{9,0,2689},{9,0,2689},{4,57,1},{4,57,1},{4,57,1},{4,37,2},{0,38,650},{0,38,650},{14,63,13094},{12,63,7445},{11,63,3830},{9,62,2723},{12,63,14998},{8,63,5926},{5,63,87},
{4,51,3642},{0,63,14254},{0,51,4306},{18,63,5494},{16,63,2414},{15,63,146},{13,61,282},{31,16,9669},{10,63,5138},{5,63,86},{0,52,3005},{30,36,9669},{0,52,3005},{11,63,3829},{11,63,3829},{11,63,3829},{10,59,2690},{7,63,2981},{5,63,86},{5,63,86},{5,43,131},{0,53,4014},{0,44,601},{15,63,145},{15,63,145},{15,63,145},{14,54,1},{28,3,2178},{5,63,85},{5,63,85},{1,45,2},{31,21,2178},
{1,45,2},{31,38,2665},{20,63,1378},{17,63,5},{7,63,2},{31,38,2665},{31,48,2665},{7,63,2},{0,54,2669},{31,48,2665},{0,54,2669},{10,0,2689},{10,0,2689},{10,0,2689},{10,0,2689},{5,59,1},{5,59,1},{5,59,1},{5,39,2},{0,40,520},{0,40,520},{15,63,12507},{13,63,7370},{12,63,4001},{11,63,2705},{13,63,14148},{8,63,5491},{6,63,154},{5,53,3033},{1,63,13399},{0,53,3297},{19,63,4949},
{17,63,2261},{16,63,202},{15,61,185},{31,20,8712},{11,63,4644},{7,63,145},{0,54,2365},{31,37,8712},{0,54,2365},{12,63,4001},{12,63,4001},{12,63,4001},{11,61,2690},{9,63,3204},{6,63,154},{6,63,154},{6,45,131},{0,57,3762},{0,46,419},{16,63,202},{16,63,202},{16,63,202},{15,56,1},{29,5,2178},{7,63,145},{7,63,145},{2,47,2},{31,24,2178},{2,47,2},{30,45,2178},{22,63,1145},{18,63,1},
{10,63,1},{30,45,2178},{31,50,2178},{10,63,1},{0,55,2180},{31,50,2178},{0,55,2180},{11,0,2689},{11,0,2689},{11,0,2689},{11,0,2689},{6,61,1},{6,61,1},{6,61,1},{6,41,2},{0,44,400},{0,44,400},{16,63,11658},{14,63,7195},{13,63,4225},{12,63,2693},{14,63,13066},{10,63,5014},{8,63,261},{6,54,2366},{3,63,12366},{0,55,2274},{20,63,4338},{18,63,2037},{17,63,289},{16,62,80},{31,24,7578},
{13,63,4037},{9,63,202},{0,55,1698},{29,42,7578},{0,55,1698},{13,63,4225},{13,63,4225},{13,63,4225},{12,63,2693},{10,63,3429},{8,63,261},{8,63,261},{7,47,132},{0,61,3509},{0,49,290},{17,63,289},{17,63,289},{17,63,289},{16,59,0},{31,4,2178},{9,63,202},{9,63,202},{3,49,2},{30,29,2178},{3,49,2},{31,44,1625},{23,63,850},{20,63,0},{13,63,1},{31,44,1625},{31,52,1625},{13,63,1},
{0,56,1625},{31,52,1625},{0,56,1625},{12,0,2689},{12,0,2689},{12,0,2689},{12,0,2689},{7,63,5},{7,63,5},{7,63,5},{7,44,4},{0,49,289},{0,49,289},{16,63,11002},{15,63,7081},{14,63,4450},{13,63,2738},{15,63,12205},{11,63,4663},{9,63,411},{7,55,1813},{4,63,11643},{0,56,1550},{21,63,3802},{20,63,1845},{18,63,388},{17,62,25},{31,27,6661},{15,63,3525},{11,63,290},{0,57,1217},{29,44,6661},
{0,57,1217},{14,63,4450},{14,63,4450},{14,63,4450},{13,63,2738},{11,63,3675},{9,63,411},{9,63,411},{8,49,131},{0,63,3354},{0,51,222},{18,63,388},{18,63,388},{18,63,388},{17,61,0},{30,13,2178},{11,63,290},{11,63,290},{4,51,2},{31,31,2178},{4,51,2},{31,47,1201},{24,63,653},{22,63,4},{15,63,1},{31,47,1201},{31,53,1201},{15,63,1},{0,57,1201},{31,53,1201},{0,57,1201},{13,0,2689},
{13,0,2689},{13,0,2689},{13,0,2689},{8,63,17},{8,63,17},{8,63,17},{8,46,2},{0,53,205},{0,53,205},{17,63,10434},{16,63,7010},{15,63,4693},{14,63,2833},{16,63,11374},{12,63,4462},{10,63,629},{8,56,1358},{6,63,10895},{0,57,1002},{22,63,3334},{20,63,1701},{19,63,505},{18,63,0},{31,31,5829},{16,63,3145},{12,63,405},{1,58,842},{31,44,5829},{1,58,842},{15,63,4693},{15,63,4693},{15,63,4693},
{14,63,2833},{12,63,3906},{10,63,629},{10,63,629},{9,51,131},{1,63,3525},{0,54,218},{19,63,505},{19,63,505},{19,63,505},{18,63,0},{31,15,2178},{12,63,405},{12,63,405},{5,53,2},{31,34,2178},{5,53,2},{31,49,841},{25,63,461},{23,63,1},{18,63,0},{31,49,841},{31,55,841},{18,63,0},{0,58,841},{31,55,841},{0,58,841},{14,0,2689},{14,0,2689},{14,0,2689},{14,0,2689},{9,63,50},
{9,63,50},{9,63,50},{9,48,2},{0,57,137},{0,57,137},{18,63,9934},{17,63,6962},{16,63,4913},{15,63,2978},{17,63,10683},{13,63,4277},{11,63,915},{9,58,974},{8,63,10078},{0,59,630},{23,63,2934},{22,63,1605},{21,63,650},{19,63,25},{31,34,5082},{18,63,2769},{14,63,521},{2,59,546},{31,46,5082},{2,59,546},{16,63,4913},{16,63,4913},{16,63,4913},{15,63,2978},{14,63,4170},{11,63,915},{11,63,915},
{10,53,131},{3,63,3789},{1,56,218},{21,63,650},{21,63,650},{21,63,650},{19,63,25},{31,20,2178},{14,63,521},{14,63,521},{6,55,2},{31,37,2178},{6,55,2},{31,52,545},{26,63,305},{25,63,4},{20,63,1},{31,52,545},{30,58,545},{20,63,1},{0,59,545},{30,58,545},{0,59,545},{15,0,2689},{15,0,2689},{15,0,2689},{15,0,2689},{11,63,74},{11,63,74},{11,63,74},{10,49,2},{0,59,85},
{0,59,85},{19,63,9465},{18,63,6955},{17,63,5233},{16,63,3218},{18,63,10003},{14,63,4183},{13,63,1258},{11,58,645},{9,63,9445},{1,61,409},{24,63,2529},{23,63,1525},{22,63,785},{20,63,100},{31,38,4344},{20,63,2345},{16,63,698},{4,60,289},{31,48,4344},{4,60,289},{17,63,5233},{17,63,5233},{17,63,5233},{16,63,3218},{15,63,4491},{13,63,1258},{13,63,1258},{11,56,120},{5,63,4171},{2,59,213},{22,63,785},
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{11,63,1},{18,63,14889},{18,63,14889},{18,63,14889},{16,63,11585},{15,63,11778},{12,63,6555},{12,63,6555},{7,63,145},{3,63,11061},{0,63,2610},{25,63,1157},{25,63,1157},{25,63,1157},{24,63,520},{31,42,1985},{22,63,1040},{22,63,1040},{11,63,1},{30,52,1985},{11,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{15,0,9250},
{15,0,9250},{15,0,9250},{15,0,9250},{10,63,2792},{10,63,2792},{10,63,2792},{7,63,145},{0,63,2610},{0,63,2610},{16,63,63318},{14,63,42019},{12,63,25930},{11,63,19324},{16,63,59178},{11,63,28845},{9,63,8605},{8,63,276},{6,63,56253},{0,61,6420},{27,63,1366},{27,63,1094},{26,63,872},{25,63,397},{31,51,2017},{25,63,1298},{23,63,794},{13,63,1},{31,56,2017},{13,63,1},{19,63,14244},{19,63,14244},{19,63,14244},
{17,63,11312},{16,63,11037},{13,63,6429},{13,63,6429},{8,63,260},{6,63,10457},{0,63,2642},{26,63,872},{26,63,872},{26,63,872},{25,63,397},{31,45,1513},{23,63,794},{23,63,794},{13,63,1},{31,52,1513},{13,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{16,0,9248},{16,0,9248},{16,0,9248},{16,0,9248},{12,63,3074},
{12,63,3074},{12,63,3074},{8,63,260},{0,63,2642},{0,63,2642},{17,63,58848},{15,63,39619},{13,63,24975},{12,63,19007},{16,63,54474},{13,63,27057},{10,63,8569},{9,63,461},{8,63,51302},{0,63,5046},{28,63,979},{27,63,806},{27,63,637},{26,63,292},{30,56,1473},{26,63,953},{24,63,605},{16,63,0},{30,58,1473},{16,63,0},{19,63,13604},{19,63,13604},{19,63,13604},{18,63,11057},{16,63,10429},{14,63,6339},{14,63,6339},
{10,63,424},{8,63,9713},{1,63,2900},{27,63,637},{27,63,637},{27,63,637},{26,63,292},{31,48,1105},{24,63,605},{24,63,605},{16,63,0},{31,54,1105},{16,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{17,0,9248},{17,0,9248},{17,0,9248},{17,0,9248},{12,63,3330},{12,63,3330},{12,63,3330},{10,63,424},{1,63,2900},
{1,63,2900},
/**** ended inlining basisu_transcoder_tables_atc_56.inc ****/
};
struct atc_match_entry
{
uint8_t m_lo;
uint8_t m_hi;
};
static atc_match_entry g_pvrtc2_match45_equals_1[256], g_atc_match55_equals_1[256], g_atc_match56_equals_1[256]; // selector 1
static atc_match_entry g_pvrtc2_match4[256], g_atc_match5[256], g_atc_match6[256];
static void prepare_atc_single_color_table(atc_match_entry* pTable, int size0, int size1, int sel)
{
for (int i = 0; i < 256; i++)
{
int lowest_e = 256;
for (int lo = 0; lo < size0; lo++)
{
int lo_e = lo;
if (size0 == 16)
{
lo_e = (lo_e << 1) | (lo_e >> 3);
lo_e = (lo_e << 3) | (lo_e >> 2);
}
else if (size0 == 32)
lo_e = (lo_e << 3) | (lo_e >> 2);
else
lo_e = (lo_e << 2) | (lo_e >> 4);
for (int hi = 0; hi < size1; hi++)
{
int hi_e = hi;
if (size1 == 16)
{
// This is only for PVRTC2 - expand to 5 then 8
hi_e = (hi_e << 1) | (hi_e >> 3);
hi_e = (hi_e << 3) | (hi_e >> 2);
}
else if (size1 == 32)
hi_e = (hi_e << 3) | (hi_e >> 2);
else
hi_e = (hi_e << 2) | (hi_e >> 4);
int e;
if (sel == 1)
{
// Selector 1
e = abs(((lo_e * 5 + hi_e * 3) / 8) - i);
}
else
{
assert(sel == 3);
// Selector 3
e = abs(hi_e - i);
}
if (e < lowest_e)
{
pTable[i].m_lo = static_cast<uint8_t>(lo);
pTable[i].m_hi = static_cast<uint8_t>(hi);
lowest_e = e;
}
} // hi
} // lo
} // i
}
static void transcoder_init_atc()
{
prepare_atc_single_color_table(g_pvrtc2_match45_equals_1, 16, 32, 1);
prepare_atc_single_color_table(g_atc_match55_equals_1, 32, 32, 1);
prepare_atc_single_color_table(g_atc_match56_equals_1, 32, 64, 1);
prepare_atc_single_color_table(g_pvrtc2_match4, 1, 16, 3);
prepare_atc_single_color_table(g_atc_match5, 1, 32, 3);
prepare_atc_single_color_table(g_atc_match6, 1, 64, 3);
for (uint32_t i = 0; i < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1s_to_atc_selector_ranges[i].m_low;
uint32_t h = g_etc1s_to_atc_selector_ranges[i].m_high;
g_etc1s_to_atc_selector_range_index[l][h] = i;
}
}
struct atc_block
{
uint8_t m_lo[2];
uint8_t m_hi[2];
uint8_t m_sels[4];
void set_low_color(uint32_t r, uint32_t g, uint32_t b)
{
assert((r < 32) && (g < 32) && (b < 32));
uint32_t x = (r << 10) | (g << 5) | b;
m_lo[0] = x & 0xFF;
m_lo[1] = (x >> 8) & 0xFF;
}
void set_high_color(uint32_t r, uint32_t g, uint32_t b)
{
assert((r < 32) && (g < 64) && (b < 32));
uint32_t x = (r << 11) | (g << 5) | b;
m_hi[0] = x & 0xFF;
m_hi[1] = (x >> 8) & 0xFF;
}
};
static void convert_etc1s_to_atc(void* pDst, const endpoint* pEndpoints, const selector* pSelector)
{
atc_block* pBlock = static_cast<atc_block*>(pDst);
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
pBlock->set_low_color(g_atc_match55_equals_1[r].m_lo, g_atc_match56_equals_1[g].m_lo, g_atc_match55_equals_1[b].m_lo);
pBlock->set_high_color(g_atc_match55_equals_1[r].m_hi, g_atc_match56_equals_1[g].m_hi, g_atc_match55_equals_1[b].m_hi);
pBlock->m_sels[0] = 0x55;
pBlock->m_sels[1] = 0x55;
pBlock->m_sels[2] = 0x55;
pBlock->m_sels[3] = 0x55;
return;
}
else if ((inten_table >= 7) && (pSelector->m_num_unique_selectors == 2) && (pSelector->m_lo_selector == 0) && (pSelector->m_hi_selector == 3))
{
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[0].r;
const uint32_t g0 = block_colors[0].g;
const uint32_t b0 = block_colors[0].b;
const uint32_t r1 = block_colors[3].r;
const uint32_t g1 = block_colors[3].g;
const uint32_t b1 = block_colors[3].b;
pBlock->set_low_color(g_atc_match5[r0].m_hi, g_atc_match5[g0].m_hi, g_atc_match5[b0].m_hi);
pBlock->set_high_color(g_atc_match5[r1].m_hi, g_atc_match6[g1].m_hi, g_atc_match5[b1].m_hi);
pBlock->m_sels[0] = pSelector->m_selectors[0];
pBlock->m_sels[1] = pSelector->m_selectors[1];
pBlock->m_sels[2] = pSelector->m_selectors[2];
pBlock->m_sels[3] = pSelector->m_selectors[3];
return;
}
const uint32_t selector_range_table = g_etc1s_to_atc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1s_to_atc_solution* pTable_r = &g_etc1s_to_atc_55[(inten_table * 32 + base_color.r) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
const etc1s_to_atc_solution* pTable_g = &g_etc1s_to_atc_56[(inten_table * 32 + base_color.g) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
const etc1s_to_atc_solution* pTable_b = &g_etc1s_to_atc_55[(inten_table * 32 + base_color.b) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
pBlock->set_low_color(pTable_r[best_mapping].m_lo, pTable_g[best_mapping].m_lo, pTable_b[best_mapping].m_lo);
pBlock->set_high_color(pTable_r[best_mapping].m_hi, pTable_g[best_mapping].m_hi, pTable_b[best_mapping].m_hi);
if (ATC_IDENTITY_SELECTOR_MAPPING_INDEX == best_mapping)
{
pBlock->m_sels[0] = pSelector->m_selectors[0];
pBlock->m_sels[1] = pSelector->m_selectors[1];
pBlock->m_sels[2] = pSelector->m_selectors[2];
pBlock->m_sels[3] = pSelector->m_selectors[3];
}
else
{
const uint8_t* pSelectors_xlat = &g_etc1s_to_atc_selector_mappings[best_mapping][0];
const uint32_t sel_bits0 = pSelector->m_selectors[0];
const uint32_t sel_bits1 = pSelector->m_selectors[1];
const uint32_t sel_bits2 = pSelector->m_selectors[2];
const uint32_t sel_bits3 = pSelector->m_selectors[3];
uint32_t atc_sels0 = 0, atc_sels1 = 0, atc_sels2 = 0, atc_sels3 = 0;
#define DO_X(x) { \
const uint32_t x_shift = (x) * 2; \
atc_sels0 |= (pSelectors_xlat[(sel_bits0 >> x_shift) & 3] << x_shift); \
atc_sels1 |= (pSelectors_xlat[(sel_bits1 >> x_shift) & 3] << x_shift); \
atc_sels2 |= (pSelectors_xlat[(sel_bits2 >> x_shift) & 3] << x_shift); \
atc_sels3 |= (pSelectors_xlat[(sel_bits3 >> x_shift) & 3] << x_shift); }
DO_X(0);
DO_X(1);
DO_X(2);
DO_X(3);
#undef DO_X
pBlock->m_sels[0] = (uint8_t)atc_sels0;
pBlock->m_sels[1] = (uint8_t)atc_sels1;
pBlock->m_sels[2] = (uint8_t)atc_sels2;
pBlock->m_sels[3] = (uint8_t)atc_sels3;
}
}
#if BASISD_WRITE_NEW_ATC_TABLES
static void create_etc1s_to_atc_conversion_tables()
{
// ATC 55
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_atc_55.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 31; hi++)
{
for (uint32_t lo = 0; lo <= 31; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 3) | (lo >> 2);
colors[3] = (hi << 3) | (hi >> 2);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
pFile = nullptr;
// ATC 56
fopen_s(&pFile, "basisu_transcoder_tables_atc_56.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 63; hi++)
{
for (uint32_t lo = 0; lo <= 31; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 3) | (lo >> 2);
colors[3] = (hi << 2) | (hi >> 4);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
// PVRTC2 45
fopen_s(&pFile, "basisu_transcoder_tables_pvrtc2_45.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 31; hi++)
{
for (uint32_t lo = 0; lo <= 15; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 1) | (lo >> 3);
colors[0] = (colors[0] << 3) | (colors[0] >> 2);
colors[3] = (hi << 3) | (hi >> 2);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
#if 0
// PVRTC2 34
fopen_s(&pFile, "basisu_transcoder_tables_pvrtc2_34.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 15; hi++)
{
for (uint32_t lo = 0; lo <= 7; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 2) | (lo >> 1);
colors[0] = (colors[0] << 3) | (colors[0] >> 2);
colors[3] = (hi << 1) | (hi >> 3);
colors[3] = (colors[3] << 3) | (colors[3] >> 2);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
#endif
#if 0
// PVRTC2 44
fopen_s(&pFile, "basisu_transcoder_tables_pvrtc2_44.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 15; hi++)
{
for (uint32_t lo = 0; lo <= 15; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 1) | (lo >> 3);
colors[0] = (colors[0] << 3) | (colors[0] >> 2);
colors[3] = (hi << 1) | (hi >> 3);
colors[3] = (colors[3] << 3) | (colors[3] >> 2);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
#endif
// PVRTC2 alpha 33
fopen_s(&pFile, "basisu_transcoder_tables_pvrtc2_alpha_33.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 7; hi++)
{
for (uint32_t lo = 0; lo <= 7; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 1);
colors[0] = (colors[0] << 4) | colors[0];
colors[3] = (hi << 1) | 1;
colors[3] = (colors[3] << 4) | colors[3];
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
#endif // BASISD_WRITE_NEW_ATC_TABLES
#endif // BASISD_SUPPORT_ATC
#if BASISD_SUPPORT_PVRTC2
struct pvrtc2_block
{
uint8_t m_modulation[4];
union
{
union
{
// Opaque mode: RGB colora=554 and colorb=555
struct
{
uint32_t m_mod_flag : 1;
uint32_t m_blue_a : 4;
uint32_t m_green_a : 5;
uint32_t m_red_a : 5;
uint32_t m_hard_flag : 1;
uint32_t m_blue_b : 5;
uint32_t m_green_b : 5;
uint32_t m_red_b : 5;
uint32_t m_opaque_flag : 1;
} m_opaque_color_data;
// Transparent mode: RGBA colora=4433 and colorb=4443
struct
{
uint32_t m_mod_flag : 1;
uint32_t m_blue_a : 3;
uint32_t m_green_a : 4;
uint32_t m_red_a : 4;
uint32_t m_alpha_a : 3;
uint32_t m_hard_flag : 1;
uint32_t m_blue_b : 4;
uint32_t m_green_b : 4;
uint32_t m_red_b : 4;
uint32_t m_alpha_b : 3;
uint32_t m_opaque_flag : 1;
} m_trans_color_data;
};
uint32_t m_color_data_bits;
};
// 554
void set_low_color(uint32_t r, uint32_t g, uint32_t b)
{
assert((r < 32) && (g < 32) && (b < 16));
m_opaque_color_data.m_red_a = r;
m_opaque_color_data.m_green_a = g;
m_opaque_color_data.m_blue_a = b;
}
// 555
void set_high_color(uint32_t r, uint32_t g, uint32_t b)
{
assert((r < 32) && (g < 32) && (b < 32));
m_opaque_color_data.m_red_b = r;
m_opaque_color_data.m_green_b = g;
m_opaque_color_data.m_blue_b = b;
}
// 4433
void set_trans_low_color(uint32_t r, uint32_t g, uint32_t b, uint32_t a)
{
assert((r < 16) && (g < 16) && (b < 8) && (a < 8));
m_trans_color_data.m_red_a = r;
m_trans_color_data.m_green_a = g;
m_trans_color_data.m_blue_a = b;
m_trans_color_data.m_alpha_a = a;
}
// 4443
void set_trans_high_color(uint32_t r, uint32_t g, uint32_t b, uint32_t a)
{
assert((r < 16) && (g < 16) && (b < 16) && (a < 8));
m_trans_color_data.m_red_b = r;
m_trans_color_data.m_green_b = g;
m_trans_color_data.m_blue_b = b;
m_trans_color_data.m_alpha_b = a;
}
};
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_trans_match34[256];
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_trans_match44[256];
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_alpha_match33[256];
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_alpha_match33_0[256];
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_alpha_match33_3[256];
// PVRTC2 can be forced to look like a slightly weaker variant of ATC/BC1, so that's what we do here for simplicity.
static void convert_etc1s_to_pvrtc2_rgb(void* pDst, const endpoint* pEndpoints, const selector* pSelector)
{
pvrtc2_block* pBlock = static_cast<pvrtc2_block*>(pDst);
pBlock->m_opaque_color_data.m_hard_flag = 1;
pBlock->m_opaque_color_data.m_mod_flag = 0;
pBlock->m_opaque_color_data.m_opaque_flag = 1;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
pBlock->set_low_color(g_atc_match55_equals_1[r].m_lo, g_atc_match55_equals_1[g].m_lo, g_pvrtc2_match45_equals_1[b].m_lo);
pBlock->set_high_color(g_atc_match55_equals_1[r].m_hi, g_atc_match55_equals_1[g].m_hi, g_pvrtc2_match45_equals_1[b].m_hi);
pBlock->m_modulation[0] = 0x55;
pBlock->m_modulation[1] = 0x55;
pBlock->m_modulation[2] = 0x55;
pBlock->m_modulation[3] = 0x55;
return;
}
else if ((inten_table >= 7) && (pSelector->m_num_unique_selectors == 2) && (pSelector->m_lo_selector == 0) && (pSelector->m_hi_selector == 3))
{
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[0].r;
const uint32_t g0 = block_colors[0].g;
const uint32_t b0 = block_colors[0].b;
const uint32_t r1 = block_colors[3].r;
const uint32_t g1 = block_colors[3].g;
const uint32_t b1 = block_colors[3].b;
pBlock->set_low_color(g_atc_match5[r0].m_hi, g_atc_match5[g0].m_hi, g_pvrtc2_match4[b0].m_hi);
pBlock->set_high_color(g_atc_match5[r1].m_hi, g_atc_match5[g1].m_hi, g_atc_match5[b1].m_hi);
pBlock->m_modulation[0] = pSelector->m_selectors[0];
pBlock->m_modulation[1] = pSelector->m_selectors[1];
pBlock->m_modulation[2] = pSelector->m_selectors[2];
pBlock->m_modulation[3] = pSelector->m_selectors[3];
return;
}
const uint32_t selector_range_table = g_etc1s_to_atc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1s_to_atc_solution* pTable_r = &g_etc1s_to_atc_55[(inten_table * 32 + base_color.r) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
const etc1s_to_atc_solution* pTable_g = &g_etc1s_to_atc_55[(inten_table * 32 + base_color.g) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
const etc1s_to_atc_solution* pTable_b = &g_etc1s_to_pvrtc2_45[(inten_table * 32 + base_color.b) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
pBlock->set_low_color(pTable_r[best_mapping].m_lo, pTable_g[best_mapping].m_lo, pTable_b[best_mapping].m_lo);
pBlock->set_high_color(pTable_r[best_mapping].m_hi, pTable_g[best_mapping].m_hi, pTable_b[best_mapping].m_hi);
if (ATC_IDENTITY_SELECTOR_MAPPING_INDEX == best_mapping)
{
pBlock->m_modulation[0] = pSelector->m_selectors[0];
pBlock->m_modulation[1] = pSelector->m_selectors[1];
pBlock->m_modulation[2] = pSelector->m_selectors[2];
pBlock->m_modulation[3] = pSelector->m_selectors[3];
}
else
{
// TODO: We could make this faster using several precomputed 256 entry tables, like ETC1S->BC1 does.
const uint8_t* pSelectors_xlat = &g_etc1s_to_atc_selector_mappings[best_mapping][0];
const uint32_t sel_bits0 = pSelector->m_selectors[0];
const uint32_t sel_bits1 = pSelector->m_selectors[1];
const uint32_t sel_bits2 = pSelector->m_selectors[2];
const uint32_t sel_bits3 = pSelector->m_selectors[3];
uint32_t sels0 = 0, sels1 = 0, sels2 = 0, sels3 = 0;
#define DO_X(x) { \
const uint32_t x_shift = (x) * 2; \
sels0 |= (pSelectors_xlat[(sel_bits0 >> x_shift) & 3] << x_shift); \
sels1 |= (pSelectors_xlat[(sel_bits1 >> x_shift) & 3] << x_shift); \
sels2 |= (pSelectors_xlat[(sel_bits2 >> x_shift) & 3] << x_shift); \
sels3 |= (pSelectors_xlat[(sel_bits3 >> x_shift) & 3] << x_shift); }
DO_X(0);
DO_X(1);
DO_X(2);
DO_X(3);
#undef DO_X
pBlock->m_modulation[0] = (uint8_t)sels0;
pBlock->m_modulation[1] = (uint8_t)sels1;
pBlock->m_modulation[2] = (uint8_t)sels2;
pBlock->m_modulation[3] = (uint8_t)sels3;
}
}
typedef struct { float c[4]; } vec4F;
static inline vec4F* vec4F_set_scalar(vec4F* pV, float x) { pV->c[0] = x; pV->c[1] = x; pV->c[2] = x; pV->c[3] = x; return pV; }
static inline vec4F* vec4F_set(vec4F* pV, float x, float y, float z, float w) { pV->c[0] = x; pV->c[1] = y; pV->c[2] = z; pV->c[3] = w; return pV; }
static inline vec4F* vec4F_saturate_in_place(vec4F* pV) { pV->c[0] = saturate(pV->c[0]); pV->c[1] = saturate(pV->c[1]); pV->c[2] = saturate(pV->c[2]); pV->c[3] = saturate(pV->c[3]); return pV; }
static inline vec4F vec4F_saturate(const vec4F* pV) { vec4F res; res.c[0] = saturate(pV->c[0]); res.c[1] = saturate(pV->c[1]); res.c[2] = saturate(pV->c[2]); res.c[3] = saturate(pV->c[3]); return res; }
static inline vec4F vec4F_from_color(const color32* pC) { vec4F res; vec4F_set(&res, pC->c[0], pC->c[1], pC->c[2], pC->c[3]); return res; }
static inline vec4F vec4F_add(const vec4F* pLHS, const vec4F* pRHS) { vec4F res; vec4F_set(&res, pLHS->c[0] + pRHS->c[0], pLHS->c[1] + pRHS->c[1], pLHS->c[2] + pRHS->c[2], pLHS->c[3] + pRHS->c[3]); return res; }
static inline vec4F vec4F_sub(const vec4F* pLHS, const vec4F* pRHS) { vec4F res; vec4F_set(&res, pLHS->c[0] - pRHS->c[0], pLHS->c[1] - pRHS->c[1], pLHS->c[2] - pRHS->c[2], pLHS->c[3] - pRHS->c[3]); return res; }
static inline float vec4F_dot(const vec4F* pLHS, const vec4F* pRHS) { return pLHS->c[0] * pRHS->c[0] + pLHS->c[1] * pRHS->c[1] + pLHS->c[2] * pRHS->c[2] + pLHS->c[3] * pRHS->c[3]; }
static inline vec4F vec4F_mul(const vec4F* pLHS, float s) { vec4F res; vec4F_set(&res, pLHS->c[0] * s, pLHS->c[1] * s, pLHS->c[2] * s, pLHS->c[3] * s); return res; }
static inline vec4F* vec4F_normalize_in_place(vec4F* pV) { float s = pV->c[0] * pV->c[0] + pV->c[1] * pV->c[1] + pV->c[2] * pV->c[2] + pV->c[3] * pV->c[3]; if (s != 0.0f) { s = 1.0f / sqrtf(s); pV->c[0] *= s; pV->c[1] *= s; pV->c[2] *= s; pV->c[3] *= s; } return pV; }
static color32 convert_rgba_5554_to_8888(const color32& col)
{
return color32((col[0] << 3) | (col[0] >> 2), (col[1] << 3) | (col[1] >> 2), (col[2] << 3) | (col[2] >> 2), (col[3] << 4) | col[3]);
}
static inline int sq(int x) { return x * x; }
// PVRTC2 is a slightly borked format for alpha: In Non-Interpolated mode, the way AlphaB8 is exanded from 4 to 8 bits means it can never be 0.
// This is actually very bad, because on 100% transparent blocks which have non-trivial color pixels, part of the color channel will leak into alpha!
// And there's nothing straightforward we can do because using the other modes is too expensive/complex. I can see why Apple didn't adopt it.
static void convert_etc1s_to_pvrtc2_rgba(void* pDst, const endpoint* pEndpoints, const selector* pSelector, const endpoint* pEndpoint_codebook, const selector* pSelector_codebook)
{
pvrtc2_block* pBlock = static_cast<pvrtc2_block*>(pDst);
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pBlock)[0]];
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pBlock)[1]];
pBlock->m_opaque_color_data.m_hard_flag = 1;
pBlock->m_opaque_color_data.m_mod_flag = 0;
pBlock->m_opaque_color_data.m_opaque_flag = 0;
const int num_unique_alpha_selectors = alpha_selectors.m_num_unique_selectors;
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
int constant_alpha_val = -1;
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
if (num_unique_alpha_selectors == 1)
{
constant_alpha_val = alpha_block_colors[alpha_selectors.m_lo_selector];
}
else
{
constant_alpha_val = alpha_block_colors[alpha_selectors.m_lo_selector];
for (uint32_t i = alpha_selectors.m_lo_selector + 1; i <= alpha_selectors.m_hi_selector; i++)
{
if (constant_alpha_val != alpha_block_colors[i])
{
constant_alpha_val = -1;
break;
}
}
}
if (constant_alpha_val >= 250)
{
// It's opaque enough, so don't bother trying to encode it as an alpha block.
convert_etc1s_to_pvrtc2_rgb(pDst, pEndpoints, pSelector);
return;
}
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const int num_unique_color_selectors = pSelector->m_num_unique_selectors;
// We need to reencode the block at the pixel level, unfortunately, from two ETC1S planes.
// Do 4D incremental PCA, project all pixels to this hyperline, then quantize to packed endpoints and compute the modulation values.
const int br = (base_color.r << 3) | (base_color.r >> 2);
const int bg = (base_color.g << 3) | (base_color.g >> 2);
const int bb = (base_color.b << 3) | (base_color.b >> 2);
color32 block_cols[4];
for (uint32_t i = 0; i < 4; i++)
{
const int ci = g_etc1_inten_tables[inten_table][i];
block_cols[i].set_clamped(br + ci, bg + ci, bb + ci, alpha_block_colors[i]);
}
bool solid_color_block = true;
if (num_unique_color_selectors > 1)
{
for (uint32_t i = low_selector + 1; i <= high_selector; i++)
{
if ((block_cols[low_selector].r != block_cols[i].r) || (block_cols[low_selector].g != block_cols[i].g) || (block_cols[low_selector].b != block_cols[i].b))
{
solid_color_block = false;
break;
}
}
}
if ((solid_color_block) && (constant_alpha_val >= 0))
{
// Constant color/alpha block.
// This is more complex than it may seem because of the way color and alpha are packed in PVRTC2. We need to evaluate mod0, mod1 and mod3 encodings to find the best one.
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
// Mod 0
uint32_t lr0 = (r * 15 + 128) / 255, lg0 = (g * 15 + 128) / 255, lb0 = (b * 7 + 128) / 255;
uint32_t la0 = g_pvrtc2_alpha_match33_0[constant_alpha_val].m_l;
uint32_t cr0 = (lr0 << 1) | (lr0 >> 3);
uint32_t cg0 = (lg0 << 1) | (lg0 >> 3);
uint32_t cb0 = (lb0 << 2) | (lb0 >> 1);
uint32_t ca0 = (la0 << 1);
cr0 = (cr0 << 3) | (cr0 >> 2);
cg0 = (cg0 << 3) | (cg0 >> 2);
cb0 = (cb0 << 3) | (cb0 >> 2);
ca0 = (ca0 << 4) | ca0;
uint32_t err0 = sq(cr0 - r) + sq(cg0 - g) + sq(cb0 - b) + sq(ca0 - constant_alpha_val) * 2;
// If the alpha is < 3 or so we're kinda screwed. It's better to have some RGB error than it is to turn a 100% transparent area slightly opaque.
if ((err0 == 0) || (constant_alpha_val < 3))
{
pBlock->set_trans_low_color(lr0, lg0, lb0, la0);
pBlock->set_trans_high_color(0, 0, 0, 0);
pBlock->m_modulation[0] = 0;
pBlock->m_modulation[1] = 0;
pBlock->m_modulation[2] = 0;
pBlock->m_modulation[3] = 0;
return;
}
// Mod 3
uint32_t lr3 = (r * 15 + 128) / 255, lg3 = (g * 15 + 128) / 255, lb3 = (b * 15 + 128) / 255;
uint32_t la3 = g_pvrtc2_alpha_match33_3[constant_alpha_val].m_l;
uint32_t cr3 = (lr3 << 1) | (lr3 >> 3);
uint32_t cg3 = (lg3 << 1) | (lg3 >> 3);
uint32_t cb3 = (lb3 << 1) | (lb3 >> 3);
uint32_t ca3 = (la3 << 1) | 1;
cr3 = (cr3 << 3) | (cr3 >> 2);
cg3 = (cg3 << 3) | (cg3 >> 2);
cb3 = (cb3 << 3) | (cb3 >> 2);
ca3 = (ca3 << 4) | ca3;
uint32_t err3 = sq(cr3 - r) + sq(cg3 - g) + sq(cb3 - b) + sq(ca3 - constant_alpha_val) * 2;
// Mod 1
uint32_t lr1 = g_pvrtc2_trans_match44[r].m_l, lg1 = g_pvrtc2_trans_match44[g].m_l, lb1 = g_pvrtc2_trans_match34[b].m_l;
uint32_t hr1 = g_pvrtc2_trans_match44[r].m_h, hg1 = g_pvrtc2_trans_match44[g].m_h, hb1 = g_pvrtc2_trans_match34[b].m_h;
uint32_t la1 = g_pvrtc2_alpha_match33[constant_alpha_val].m_l, ha1 = g_pvrtc2_alpha_match33[constant_alpha_val].m_h;
uint32_t clr1 = (lr1 << 1) | (lr1 >> 3);
uint32_t clg1 = (lg1 << 1) | (lg1 >> 3);
uint32_t clb1 = (lb1 << 2) | (lb1 >> 1);
uint32_t cla1 = (la1 << 1);
clr1 = (clr1 << 3) | (clr1 >> 2);
clg1 = (clg1 << 3) | (clg1 >> 2);
clb1 = (clb1 << 3) | (clb1 >> 2);
cla1 = (cla1 << 4) | cla1;
uint32_t chr1 = (hr1 << 1) | (hr1 >> 3);
uint32_t chg1 = (hg1 << 1) | (hg1 >> 3);
uint32_t chb1 = (hb1 << 1) | (hb1 >> 3);
uint32_t cha1 = (ha1 << 1) | 1;
chr1 = (chr1 << 3) | (chr1 >> 2);
chg1 = (chg1 << 3) | (chg1 >> 2);
chb1 = (chb1 << 3) | (chb1 >> 2);
cha1 = (cha1 << 4) | cha1;
uint32_t r1 = (clr1 * 5 + chr1 * 3) / 8;
uint32_t g1 = (clg1 * 5 + chg1 * 3) / 8;
uint32_t b1 = (clb1 * 5 + chb1 * 3) / 8;
uint32_t a1 = (cla1 * 5 + cha1 * 3) / 8;
uint32_t err1 = sq(r1 - r) + sq(g1 - g) + sq(b1 - b) + sq(a1 - constant_alpha_val) * 2;
if ((err1 < err0) && (err1 < err3))
{
pBlock->set_trans_low_color(lr1, lg1, lb1, la1);
pBlock->set_trans_high_color(hr1, hg1, hb1, ha1);
pBlock->m_modulation[0] = 0x55;
pBlock->m_modulation[1] = 0x55;
pBlock->m_modulation[2] = 0x55;
pBlock->m_modulation[3] = 0x55;
}
else if (err0 < err3)
{
pBlock->set_trans_low_color(lr0, lg0, lb0, la0);
pBlock->set_trans_high_color(0, 0, 0, 0);
pBlock->m_modulation[0] = 0;
pBlock->m_modulation[1] = 0;
pBlock->m_modulation[2] = 0;
pBlock->m_modulation[3] = 0;
}
else
{
pBlock->set_trans_low_color(0, 0, 0, 0);
pBlock->set_trans_high_color(lr3, lg3, lb3, la3);
pBlock->m_modulation[0] = 0xFF;
pBlock->m_modulation[1] = 0xFF;
pBlock->m_modulation[2] = 0xFF;
pBlock->m_modulation[3] = 0xFF;
}
return;
}
// It's a complex block with non-solid color and/or alpha pixels.
vec4F minColor, maxColor;
if (solid_color_block)
{
// It's a solid color block.
uint32_t low_a = block_cols[alpha_selectors.m_lo_selector].a;
uint32_t high_a = block_cols[alpha_selectors.m_hi_selector].a;
const float S = 1.0f / 255.0f;
vec4F_set(&minColor, block_cols[low_selector].r * S, block_cols[low_selector].g * S, block_cols[low_selector].b * S, low_a * S);
vec4F_set(&maxColor, block_cols[low_selector].r * S, block_cols[low_selector].g * S, block_cols[low_selector].b * S, high_a * S);
}
else if (constant_alpha_val >= 0)
{
// It's a solid alpha block.
const float S = 1.0f / 255.0f;
vec4F_set(&minColor, block_cols[low_selector].r * S, block_cols[low_selector].g * S, block_cols[low_selector].b * S, constant_alpha_val * S);
vec4F_set(&maxColor, block_cols[high_selector].r * S, block_cols[high_selector].g * S, block_cols[high_selector].b * S, constant_alpha_val * S);
}
// See if any of the block colors got clamped - if so the principle axis got distorted (it's no longer just the ETC1S luma axis).
// To keep quality up we need to use full 4D PCA in this case.
else if ((block_cols[low_selector].c[0] == 0) || (block_cols[high_selector].c[0] == 255) ||
(block_cols[low_selector].c[1] == 0) || (block_cols[high_selector].c[1] == 255) ||
(block_cols[low_selector].c[2] == 0) || (block_cols[high_selector].c[2] == 255) ||
(block_cols[alpha_selectors.m_lo_selector].c[3] == 0) || (block_cols[alpha_selectors.m_hi_selector].c[3] == 255))
{
// Find principle component of RGBA colors treated as 4D vectors.
color32 pixels[16];
uint32_t sum_r = 0, sum_g = 0, sum_b = 0, sum_a = 0;
for (uint32_t i = 0; i < 16; i++)
{
color32 rgb(block_cols[pSelector->get_selector(i & 3, i >> 2)]);
uint32_t a = block_cols[alpha_selectors.get_selector(i & 3, i >> 2)].a;
pixels[i].set(rgb.r, rgb.g, rgb.b, a);
sum_r += rgb.r;
sum_g += rgb.g;
sum_b += rgb.b;
sum_a += a;
}
vec4F meanColor;
vec4F_set(&meanColor, (float)sum_r, (float)sum_g, (float)sum_b, (float)sum_a);
vec4F meanColorScaled = vec4F_mul(&meanColor, 1.0f / 16.0f);
meanColor = vec4F_mul(&meanColor, 1.0f / (float)(16.0f * 255.0f));
vec4F_saturate_in_place(&meanColor);
vec4F axis;
vec4F_set_scalar(&axis, 0.0f);
// Why this incremental method? Because it's stable and predictable. Covar+power method can require a lot of iterations to converge in 4D.
for (uint32_t i = 0; i < 16; i++)
{
vec4F color = vec4F_from_color(&pixels[i]);
color = vec4F_sub(&color, &meanColorScaled);
vec4F a = vec4F_mul(&color, color.c[0]);
vec4F b = vec4F_mul(&color, color.c[1]);
vec4F c = vec4F_mul(&color, color.c[2]);
vec4F d = vec4F_mul(&color, color.c[3]);
vec4F n = i ? axis : color;
vec4F_normalize_in_place(&n);
axis.c[0] += vec4F_dot(&a, &n);
axis.c[1] += vec4F_dot(&b, &n);
axis.c[2] += vec4F_dot(&c, &n);
axis.c[3] += vec4F_dot(&d, &n);
}
vec4F_normalize_in_place(&axis);
if (vec4F_dot(&axis, &axis) < .5f)
vec4F_set_scalar(&axis, .5f);
float l = 1e+9f, h = -1e+9f;
for (uint32_t i = 0; i < 16; i++)
{
vec4F color = vec4F_from_color(&pixels[i]);
vec4F q = vec4F_sub(&color, &meanColorScaled);
float d = vec4F_dot(&q, &axis);
l = basisu::minimum(l, d);
h = basisu::maximum(h, d);
}
l *= (1.0f / 255.0f);
h *= (1.0f / 255.0f);
vec4F b0 = vec4F_mul(&axis, l);
vec4F b1 = vec4F_mul(&axis, h);
vec4F c0 = vec4F_add(&meanColor, &b0);
vec4F c1 = vec4F_add(&meanColor, &b1);
minColor = vec4F_saturate(&c0);
maxColor = vec4F_saturate(&c1);
if (minColor.c[3] > maxColor.c[3])
{
// VS 2019 release Code Generator issue
//std::swap(minColor, maxColor);
float a = minColor.c[0], b = minColor.c[1], c = minColor.c[2], d = minColor.c[3];
minColor.c[0] = maxColor.c[0]; minColor.c[1] = maxColor.c[1]; minColor.c[2] = maxColor.c[2]; minColor.c[3] = maxColor.c[3];
minColor.c[0] = maxColor.c[0]; minColor.c[1] = maxColor.c[1]; minColor.c[2] = maxColor.c[2]; minColor.c[3] = maxColor.c[3];
maxColor.c[0] = a; maxColor.c[1] = b; maxColor.c[2] = c; maxColor.c[3] = d;
}
}
else
{
// We know the RGB axis is luma, because it's an ETC1S block and none of the block colors got clamped. So we only need to use 2D PCA.
// We project each LA vector onto two 2D lines with axes (1,1) and (1,-1) and find the largest projection to determine if axis A is flipped relative to L.
uint32_t block_cols_l[4], block_cols_a[4];
for (uint32_t i = 0; i < 4; i++)
{
block_cols_l[i] = block_cols[i].r + block_cols[i].g + block_cols[i].b;
block_cols_a[i] = block_cols[i].a * 3;
}
int p0_min = INT_MAX, p0_max = INT_MIN;
int p1_min = INT_MAX, p1_max = INT_MIN;
for (uint32_t y = 0; y < 4; y++)
{
const uint32_t cs = pSelector->m_selectors[y];
const uint32_t as = alpha_selectors.m_selectors[y];
{
const int l = block_cols_l[cs & 3];
const int a = block_cols_a[as & 3];
const int p0 = l + a; p0_min = basisu::minimum(p0_min, p0); p0_max = basisu::maximum(p0_max, p0);
const int p1 = l - a; p1_min = basisu::minimum(p1_min, p1); p1_max = basisu::maximum(p1_max, p1);
}
{
const int l = block_cols_l[(cs >> 2) & 3];
const int a = block_cols_a[(as >> 2) & 3];
const int p0 = l + a; p0_min = basisu::minimum(p0_min, p0); p0_max = basisu::maximum(p0_max, p0);
const int p1 = l - a; p1_min = basisu::minimum(p1_min, p1); p1_max = basisu::maximum(p1_max, p1);
}
{
const int l = block_cols_l[(cs >> 4) & 3];
const int a = block_cols_a[(as >> 4) & 3];
const int p0 = l + a; p0_min = basisu::minimum(p0_min, p0); p0_max = basisu::maximum(p0_max, p0);
const int p1 = l - a; p1_min = basisu::minimum(p1_min, p1); p1_max = basisu::maximum(p1_max, p1);
}
{
const int l = block_cols_l[cs >> 6];
const int a = block_cols_a[as >> 6];
const int p0 = l + a; p0_min = basisu::minimum(p0_min, p0); p0_max = basisu::maximum(p0_max, p0);
const int p1 = l - a; p1_min = basisu::minimum(p1_min, p1); p1_max = basisu::maximum(p1_max, p1);
}
}
int dist0 = p0_max - p0_min;
int dist1 = p1_max - p1_min;
const float S = 1.0f / 255.0f;
vec4F_set(&minColor, block_cols[low_selector].r * S, block_cols[low_selector].g * S, block_cols[low_selector].b * S, block_cols[alpha_selectors.m_lo_selector].a * S);
vec4F_set(&maxColor, block_cols[high_selector].r * S, block_cols[high_selector].g * S, block_cols[high_selector].b * S, block_cols[alpha_selectors.m_hi_selector].a * S);
// See if the A component of the principle axis is flipped relative to L. If so, we need to flip either RGB or A bounds.
if (dist1 > dist0)
{
std::swap(minColor.c[0], maxColor.c[0]);
std::swap(minColor.c[1], maxColor.c[1]);
std::swap(minColor.c[2], maxColor.c[2]);
}
}
// 4433 4443
color32 trialMinColor, trialMaxColor;
trialMinColor.set_clamped((int)(minColor.c[0] * 15.0f + .5f), (int)(minColor.c[1] * 15.0f + .5f), (int)(minColor.c[2] * 7.0f + .5f), (int)(minColor.c[3] * 7.0f + .5f));
trialMaxColor.set_clamped((int)(maxColor.c[0] * 15.0f + .5f), (int)(maxColor.c[1] * 15.0f + .5f), (int)(maxColor.c[2] * 15.0f + .5f), (int)(maxColor.c[3] * 7.0f + .5f));
pBlock->set_trans_low_color(trialMinColor.r, trialMinColor.g, trialMinColor.b, trialMinColor.a);
pBlock->set_trans_high_color(trialMaxColor.r, trialMaxColor.g, trialMaxColor.b, trialMaxColor.a);
color32 color_a((trialMinColor.r << 1) | (trialMinColor.r >> 3), (trialMinColor.g << 1) | (trialMinColor.g >> 3), (trialMinColor.b << 2) | (trialMinColor.b >> 1), trialMinColor.a << 1);
color32 color_b((trialMaxColor.r << 1) | (trialMaxColor.r >> 3), (trialMaxColor.g << 1) | (trialMaxColor.g >> 3), (trialMaxColor.b << 1) | (trialMaxColor.b >> 3), (trialMaxColor.a << 1) | 1);
color32 color0(convert_rgba_5554_to_8888(color_a));
color32 color3(convert_rgba_5554_to_8888(color_b));
const int lr = color0.r;
const int lg = color0.g;
const int lb = color0.b;
const int la = color0.a;
const int axis_r = color3.r - lr;
const int axis_g = color3.g - lg;
const int axis_b = color3.b - lb;
const int axis_a = color3.a - la;
const int len_a = (axis_r * axis_r) + (axis_g * axis_g) + (axis_b * axis_b) + (axis_a * axis_a);
const int thresh01 = (len_a * 3) / 16;
const int thresh12 = len_a >> 1;
const int thresh23 = (len_a * 13) / 16;
if ((axis_r | axis_g | axis_b) == 0)
{
int ca_sel[4];
for (uint32_t i = 0; i < 4; i++)
{
int ca = (block_cols[i].a - la) * axis_a;
ca_sel[i] = (ca >= thresh23) + (ca >= thresh12) + (ca >= thresh01);
}
for (uint32_t y = 0; y < 4; y++)
{
const uint32_t a_sels = alpha_selectors.m_selectors[y];
uint32_t sel = ca_sel[a_sels & 3] | (ca_sel[(a_sels >> 2) & 3] << 2) | (ca_sel[(a_sels >> 4) & 3] << 4) | (ca_sel[a_sels >> 6] << 6);
pBlock->m_modulation[y] = (uint8_t)sel;
}
}
else
{
int cy[4], ca[4];
for (uint32_t i = 0; i < 4; i++)
{
cy[i] = (block_cols[i].r - lr) * axis_r + (block_cols[i].g - lg) * axis_g + (block_cols[i].b - lb) * axis_b;
ca[i] = (block_cols[i].a - la) * axis_a;
}
for (uint32_t y = 0; y < 4; y++)
{
const uint32_t c_sels = pSelector->m_selectors[y];
const uint32_t a_sels = alpha_selectors.m_selectors[y];
const int d0 = cy[c_sels & 3] + ca[a_sels & 3];
const int d1 = cy[(c_sels >> 2) & 3] + ca[(a_sels >> 2) & 3];
const int d2 = cy[(c_sels >> 4) & 3] + ca[(a_sels >> 4) & 3];
const int d3 = cy[c_sels >> 6] + ca[a_sels >> 6];
uint32_t sel = ((d0 >= thresh23) + (d0 >= thresh12) + (d0 >= thresh01)) |
(((d1 >= thresh23) + (d1 >= thresh12) + (d1 >= thresh01)) << 2) |
(((d2 >= thresh23) + (d2 >= thresh12) + (d2 >= thresh01)) << 4) |
(((d3 >= thresh23) + (d3 >= thresh12) + (d3 >= thresh01)) << 6);
pBlock->m_modulation[y] = (uint8_t)sel;
}
}
}
static void transcoder_init_pvrtc2()
{
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t l = 0; l < 8; l++)
{
uint32_t le = (l << 1);
le = (le << 4) | le;
for (uint32_t h = 0; h < 8; h++)
{
uint32_t he = (h << 1) | 1;
he = (he << 4) | he;
uint32_t m = (le * 5 + he * 3) / 8;
int err = labs((int)v - (int)m);
if (err < lowest_err)
{
lowest_err = err;
best_l = l;
best_h = h;
}
}
}
g_pvrtc2_alpha_match33[v].m_l = (uint8_t)best_l;
g_pvrtc2_alpha_match33[v].m_h = (uint8_t)best_h;
}
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t l = 0; l < 8; l++)
{
uint32_t le = (l << 1);
le = (le << 4) | le;
int err = labs((int)v - (int)le);
if (err < lowest_err)
{
lowest_err = err;
best_l = l;
best_h = l;
}
}
g_pvrtc2_alpha_match33_0[v].m_l = (uint8_t)best_l;
g_pvrtc2_alpha_match33_0[v].m_h = (uint8_t)best_h;
}
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t h = 0; h < 8; h++)
{
uint32_t he = (h << 1) | 1;
he = (he << 4) | he;
int err = labs((int)v - (int)he);
if (err < lowest_err)
{
lowest_err = err;
best_l = h;
best_h = h;
}
}
g_pvrtc2_alpha_match33_3[v].m_l = (uint8_t)best_l;
g_pvrtc2_alpha_match33_3[v].m_h = (uint8_t)best_h;
}
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t l = 0; l < 8; l++)
{
uint32_t le = (l << 2) | (l >> 1);
le = (le << 3) | (le >> 2);
for (uint32_t h = 0; h < 16; h++)
{
uint32_t he = (h << 1) | (h >> 3);
he = (he << 3) | (he >> 2);
uint32_t m = (le * 5 + he * 3) / 8;
int err = labs((int)v - (int)m);
if (err < lowest_err)
{
lowest_err = err;
best_l = l;
best_h = h;
}
}
}
g_pvrtc2_trans_match34[v].m_l = (uint8_t)best_l;
g_pvrtc2_trans_match34[v].m_h = (uint8_t)best_h;
}
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t l = 0; l < 16; l++)
{
uint32_t le = (l << 1) | (l >> 3);
le = (le << 3) | (le >> 2);
for (uint32_t h = 0; h < 16; h++)
{
uint32_t he = (h << 1) | (h >> 3);
he = (he << 3) | (he >> 2);
uint32_t m = (le * 5 + he * 3) / 8;
int err = labs((int)v - (int)m);
if (err < lowest_err)
{
lowest_err = err;
best_l = l;
best_h = h;
}
}
}
g_pvrtc2_trans_match44[v].m_l = (uint8_t)best_l;
g_pvrtc2_trans_match44[v].m_h = (uint8_t)best_h;
}
}
#endif // BASISD_SUPPORT_PVRTC2
basisu_lowlevel_etc1s_transcoder::basisu_lowlevel_etc1s_transcoder(const etc1_global_selector_codebook* pGlobal_sel_codebook) :
m_pGlobal_sel_codebook(pGlobal_sel_codebook),
m_selector_history_buf_size(0)
{
}
bool basisu_lowlevel_etc1s_transcoder::decode_palettes(
uint32_t num_endpoints, const uint8_t* pEndpoints_data, uint32_t endpoints_data_size,
uint32_t num_selectors, const uint8_t* pSelectors_data, uint32_t selectors_data_size)
{
bitwise_decoder sym_codec;
huffman_decoding_table color5_delta_model0, color5_delta_model1, color5_delta_model2, inten_delta_model;
if (!sym_codec.init(pEndpoints_data, endpoints_data_size))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 0\n");
return false;
}
if (!sym_codec.read_huffman_table(color5_delta_model0))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 1\n");
return false;
}
if (!sym_codec.read_huffman_table(color5_delta_model1))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 1a\n");
return false;
}
if (!sym_codec.read_huffman_table(color5_delta_model2))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 2a\n");
return false;
}
if (!sym_codec.read_huffman_table(inten_delta_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 2b\n");
return false;
}
if (!color5_delta_model0.is_valid() || !color5_delta_model1.is_valid() || !color5_delta_model2.is_valid() || !inten_delta_model.is_valid())
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 2b\n");
return false;
}
const bool endpoints_are_grayscale = sym_codec.get_bits(1) != 0;
m_endpoints.resize(num_endpoints);
color32 prev_color5(16, 16, 16, 0);
uint32_t prev_inten = 0;
for (uint32_t i = 0; i < num_endpoints; i++)
{
uint32_t inten_delta = sym_codec.decode_huffman(inten_delta_model);
m_endpoints[i].m_inten5 = static_cast<uint8_t>((inten_delta + prev_inten) & 7);
prev_inten = m_endpoints[i].m_inten5;
for (uint32_t c = 0; c < (endpoints_are_grayscale ? 1U : 3U); c++)
{
int delta;
if (prev_color5[c] <= basist::COLOR5_PAL0_PREV_HI)
delta = sym_codec.decode_huffman(color5_delta_model0);
else if (prev_color5[c] <= basist::COLOR5_PAL1_PREV_HI)
delta = sym_codec.decode_huffman(color5_delta_model1);
else
delta = sym_codec.decode_huffman(color5_delta_model2);
int v = (prev_color5[c] + delta) & 31;
m_endpoints[i].m_color5[c] = static_cast<uint8_t>(v);
prev_color5[c] = static_cast<uint8_t>(v);
}
if (endpoints_are_grayscale)
{
m_endpoints[i].m_color5[1] = m_endpoints[i].m_color5[0];
m_endpoints[i].m_color5[2] = m_endpoints[i].m_color5[0];
}
}
sym_codec.stop();
m_selectors.resize(num_selectors);
if (!sym_codec.init(pSelectors_data, selectors_data_size))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 5\n");
return false;
}
basist::huffman_decoding_table delta_selector_pal_model;
const bool used_global_selector_cb = (sym_codec.get_bits(1) == 1);
if (used_global_selector_cb)
{
// global selector palette
uint32_t pal_bits = sym_codec.get_bits(4);
uint32_t mod_bits = sym_codec.get_bits(4);
basist::huffman_decoding_table mod_model;
if (mod_bits)
{
if (!sym_codec.read_huffman_table(mod_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 6\n");
return false;
}
if (!mod_model.is_valid())
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 6a\n");
return false;
}
}
for (uint32_t i = 0; i < num_selectors; i++)
{
uint32_t pal_index = 0;
if (pal_bits)
pal_index = sym_codec.get_bits(pal_bits);
uint32_t mod_index = 0;
if (mod_bits)
mod_index = sym_codec.decode_huffman(mod_model);
if (pal_index >= m_pGlobal_sel_codebook->size())
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 7z\n");
return false;
}
const etc1_selector_palette_entry e(m_pGlobal_sel_codebook->get_entry(pal_index, etc1_global_palette_entry_modifier(mod_index)));
// TODO: Optimize this
for (uint32_t y = 0; y < 4; y++)
for (uint32_t x = 0; x < 4; x++)
m_selectors[i].set_selector(x, y, e[x + y * 4]);
m_selectors[i].init_flags();
}
}
else
{
const bool used_hybrid_selector_cb = (sym_codec.get_bits(1) == 1);
if (used_hybrid_selector_cb)
{
const uint32_t pal_bits = sym_codec.get_bits(4);
const uint32_t mod_bits = sym_codec.get_bits(4);
basist::huffman_decoding_table uses_global_cb_bitflags_model;
if (!sym_codec.read_huffman_table(uses_global_cb_bitflags_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 7\n");
return false;
}
if (!uses_global_cb_bitflags_model.is_valid())
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 7a\n");
return false;
}
basist::huffman_decoding_table global_mod_indices_model;
if (mod_bits)
{
if (!sym_codec.read_huffman_table(global_mod_indices_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 8\n");
return false;
}
if (!global_mod_indices_model.is_valid())
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 8a\n");
return false;
}
}
uint32_t cur_uses_global_cb_bitflags = 0;
uint32_t uses_global_cb_bitflags_remaining = 0;
for (uint32_t q = 0; q < num_selectors; q++)
{
if (!uses_global_cb_bitflags_remaining)
{
cur_uses_global_cb_bitflags = sym_codec.decode_huffman(uses_global_cb_bitflags_model);
uses_global_cb_bitflags_remaining = 8;
}
uses_global_cb_bitflags_remaining--;
const bool used_global_cb_flag = (cur_uses_global_cb_bitflags & 1) != 0;
cur_uses_global_cb_bitflags >>= 1;
if (used_global_cb_flag)
{
const uint32_t pal_index = pal_bits ? sym_codec.get_bits(pal_bits) : 0;
const uint32_t mod_index = mod_bits ? sym_codec.decode_huffman(global_mod_indices_model) : 0;
if (pal_index >= m_pGlobal_sel_codebook->size())
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 8b\n");
return false;
}
const etc1_selector_palette_entry e(m_pGlobal_sel_codebook->get_entry(pal_index, etc1_global_palette_entry_modifier(mod_index)));
for (uint32_t y = 0; y < 4; y++)
for (uint32_t x = 0; x < 4; x++)
m_selectors[q].set_selector(x, y, e[x + y * 4]);
}
else
{
for (uint32_t j = 0; j < 4; j++)
{
uint32_t cur_byte = sym_codec.get_bits(8);
for (uint32_t k = 0; k < 4; k++)
m_selectors[q].set_selector(k, j, (cur_byte >> (k * 2)) & 3);
}
}
m_selectors[q].init_flags();
}
}
else
{
const bool used_raw_encoding = (sym_codec.get_bits(1) == 1);
if (used_raw_encoding)
{
for (uint32_t i = 0; i < num_selectors; i++)
{
for (uint32_t j = 0; j < 4; j++)
{
uint32_t cur_byte = sym_codec.get_bits(8);
for (uint32_t k = 0; k < 4; k++)
m_selectors[i].set_selector(k, j, (cur_byte >> (k * 2)) & 3);
}
m_selectors[i].init_flags();
}
}
else
{
if (!sym_codec.read_huffman_table(delta_selector_pal_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 10\n");
return false;
}
if ((num_selectors > 1) && (!delta_selector_pal_model.is_valid()))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 10a\n");
return false;
}
uint8_t prev_bytes[4] = { 0, 0, 0, 0 };
for (uint32_t i = 0; i < num_selectors; i++)
{
if (!i)
{
for (uint32_t j = 0; j < 4; j++)
{
uint32_t cur_byte = sym_codec.get_bits(8);
prev_bytes[j] = static_cast<uint8_t>(cur_byte);
for (uint32_t k = 0; k < 4; k++)
m_selectors[i].set_selector(k, j, (cur_byte >> (k * 2)) & 3);
}
m_selectors[i].init_flags();
continue;
}
for (uint32_t j = 0; j < 4; j++)
{
int delta_byte = sym_codec.decode_huffman(delta_selector_pal_model);
uint32_t cur_byte = delta_byte ^ prev_bytes[j];
prev_bytes[j] = static_cast<uint8_t>(cur_byte);
for (uint32_t k = 0; k < 4; k++)
m_selectors[i].set_selector(k, j, (cur_byte >> (k * 2)) & 3);
}
m_selectors[i].init_flags();
}
}
}
}
sym_codec.stop();
return true;
}
bool basisu_lowlevel_etc1s_transcoder::decode_tables(const uint8_t* pTable_data, uint32_t table_data_size)
{
basist::bitwise_decoder sym_codec;
if (!sym_codec.init(pTable_data, table_data_size))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 0\n");
return false;
}
if (!sym_codec.read_huffman_table(m_endpoint_pred_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 1\n");
return false;
}
if (m_endpoint_pred_model.get_code_sizes().size() == 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 1a\n");
return false;
}
if (!sym_codec.read_huffman_table(m_delta_endpoint_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 2\n");
return false;
}
if (m_delta_endpoint_model.get_code_sizes().size() == 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 2a\n");
return false;
}
if (!sym_codec.read_huffman_table(m_selector_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 3\n");
return false;
}
if (m_selector_model.get_code_sizes().size() == 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 3a\n");
return false;
}
if (!sym_codec.read_huffman_table(m_selector_history_buf_rle_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 4\n");
return false;
}
if (m_selector_history_buf_rle_model.get_code_sizes().size() == 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 4a\n");
return false;
}
m_selector_history_buf_size = sym_codec.get_bits(13);
sym_codec.stop();
return true;
}
bool basisu_lowlevel_etc1s_transcoder::transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, const basis_file_header& header, const basis_slice_desc& slice_desc, uint32_t output_row_pitch_in_blocks_or_pixels,
basisu_transcoder_state* pState, bool transcode_alpha, void *pAlpha_blocks, uint32_t output_rows_in_pixels)
{
// 'pDst_blocks' unused when disabling *all* hardware transcode options
// (and 'bc1_allow_threecolor_blocks' when disabling DXT)
BASISU_NOTE_UNUSED(pDst_blocks);
BASISU_NOTE_UNUSED(bc1_allow_threecolor_blocks);
BASISU_NOTE_UNUSED(transcode_alpha);
BASISU_NOTE_UNUSED(pAlpha_blocks);
if (!pState)
pState = &m_def_state;
const bool is_video = (header.m_tex_type == cBASISTexTypeVideoFrames);
const uint32_t total_blocks = num_blocks_x * num_blocks_y;
if (!output_row_pitch_in_blocks_or_pixels)
{
if (basis_block_format_is_uncompressed(fmt))
output_row_pitch_in_blocks_or_pixels = slice_desc.m_orig_width;
else
{
if (fmt == block_format::cFXT1_RGB)
output_row_pitch_in_blocks_or_pixels = (slice_desc.m_orig_width + 7) / 8;
else
output_row_pitch_in_blocks_or_pixels = num_blocks_x;
}
}
if (basis_block_format_is_uncompressed(fmt))
{
if (!output_rows_in_pixels)
output_rows_in_pixels = slice_desc.m_orig_height;
}
std::vector<uint32_t>* pPrev_frame_indices = nullptr;
if (is_video)
{
// TODO: Add check to make sure the caller hasn't tried skipping past p-frames
const bool alpha_flag = (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0;
const uint32_t level_index = slice_desc.m_level_index;
if (level_index >= basisu_transcoder_state::cMaxPrevFrameLevels)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: unsupported level_index\n");
return false;
}
pPrev_frame_indices = &pState->m_prev_frame_indices[alpha_flag][level_index];
if (pPrev_frame_indices->size() < total_blocks)
pPrev_frame_indices->resize(total_blocks);
}
basist::bitwise_decoder sym_codec;
if (!sym_codec.init(pImage_data, image_data_size))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: sym_codec.init failed\n");
return false;
}
approx_move_to_front selector_history_buf(m_selector_history_buf_size);
const uint32_t SELECTOR_HISTORY_BUF_FIRST_SYMBOL_INDEX = (uint32_t)m_selectors.size();
const uint32_t SELECTOR_HISTORY_BUF_RLE_SYMBOL_INDEX = m_selector_history_buf_size + SELECTOR_HISTORY_BUF_FIRST_SYMBOL_INDEX;
uint32_t cur_selector_rle_count = 0;
decoder_etc_block block;
memset(&block, 0, sizeof(block));
block.set_flip_bit(true);
block.set_diff_bit(true);
void* pPVRTC_work_mem = nullptr;
uint32_t* pPVRTC_endpoints = nullptr;
if ((fmt == block_format::cPVRTC1_4_RGB) || (fmt == block_format::cPVRTC1_4_RGBA))
{
pPVRTC_work_mem = malloc(num_blocks_x * num_blocks_y * (sizeof(decoder_etc_block) + sizeof(uint32_t)));
if (!pPVRTC_work_mem)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: malloc failed\n");
return false;
}
pPVRTC_endpoints = (uint32_t*) & ((decoder_etc_block*)pPVRTC_work_mem)[num_blocks_x * num_blocks_y];
}
if (pState->m_block_endpoint_preds[0].size() < num_blocks_x)
{
pState->m_block_endpoint_preds[0].resize(num_blocks_x);
pState->m_block_endpoint_preds[1].resize(num_blocks_x);
}
uint32_t cur_pred_bits = 0;
int prev_endpoint_pred_sym = 0;
int endpoint_pred_repeat_count = 0;
uint32_t prev_endpoint_index = 0;
for (uint32_t block_y = 0; block_y < num_blocks_y; block_y++)
{
const uint32_t cur_block_endpoint_pred_array = block_y & 1;
for (uint32_t block_x = 0; block_x < num_blocks_x; block_x++)
{
// Decode endpoint index predictor symbols
if ((block_x & 1) == 0)
{
if ((block_y & 1) == 0)
{
if (endpoint_pred_repeat_count)
{
endpoint_pred_repeat_count--;
cur_pred_bits = prev_endpoint_pred_sym;
}
else
{
cur_pred_bits = sym_codec.decode_huffman(m_endpoint_pred_model);
if (cur_pred_bits == ENDPOINT_PRED_REPEAT_LAST_SYMBOL)
{
endpoint_pred_repeat_count = sym_codec.decode_vlc(ENDPOINT_PRED_COUNT_VLC_BITS) + ENDPOINT_PRED_MIN_REPEAT_COUNT - 1;
cur_pred_bits = prev_endpoint_pred_sym;
}
else
{
prev_endpoint_pred_sym = cur_pred_bits;
}
}
pState->m_block_endpoint_preds[cur_block_endpoint_pred_array ^ 1][block_x].m_pred_bits = (uint8_t)(cur_pred_bits >> 4);
}
else
{
cur_pred_bits = pState->m_block_endpoint_preds[cur_block_endpoint_pred_array][block_x].m_pred_bits;
}
}
// Decode endpoint index
uint32_t endpoint_index, selector_index = 0;
const uint32_t pred = cur_pred_bits & 3;
cur_pred_bits >>= 2;
if (pred == 0)
{
// Left
if (!block_x)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (0)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
endpoint_index = prev_endpoint_index;
}
else if (pred == 1)
{
// Upper
if (!block_y)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (1)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
endpoint_index = pState->m_block_endpoint_preds[cur_block_endpoint_pred_array ^ 1][block_x].m_endpoint_index;
}
else if (pred == 2)
{
if (is_video)
{
assert(pred == CR_ENDPOINT_PRED_INDEX);
endpoint_index = (*pPrev_frame_indices)[block_x + block_y * num_blocks_x];
selector_index = endpoint_index >> 16;
endpoint_index &= 0xFFFFU;
}
else
{
// Upper left
if ((!block_x) || (!block_y))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (2)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
endpoint_index = pState->m_block_endpoint_preds[cur_block_endpoint_pred_array ^ 1][block_x - 1].m_endpoint_index;
}
}
else
{
// Decode and apply delta
const uint32_t delta_sym = sym_codec.decode_huffman(m_delta_endpoint_model);
endpoint_index = delta_sym + prev_endpoint_index;
if (endpoint_index >= m_endpoints.size())
endpoint_index -= (int)m_endpoints.size();
}
pState->m_block_endpoint_preds[cur_block_endpoint_pred_array][block_x].m_endpoint_index = (uint16_t)endpoint_index;
prev_endpoint_index = endpoint_index;
// Decode selector index
if ((!is_video) || (pred != CR_ENDPOINT_PRED_INDEX))
{
int selector_sym;
if (cur_selector_rle_count > 0)
{
cur_selector_rle_count--;
selector_sym = (int)m_selectors.size();
}
else
{
selector_sym = sym_codec.decode_huffman(m_selector_model);
if (selector_sym == static_cast<int>(SELECTOR_HISTORY_BUF_RLE_SYMBOL_INDEX))
{
int run_sym = sym_codec.decode_huffman(m_selector_history_buf_rle_model);
if (run_sym == (SELECTOR_HISTORY_BUF_RLE_COUNT_TOTAL - 1))
cur_selector_rle_count = sym_codec.decode_vlc(7) + SELECTOR_HISTORY_BUF_RLE_COUNT_THRESH;
else
cur_selector_rle_count = run_sym + SELECTOR_HISTORY_BUF_RLE_COUNT_THRESH;
if (cur_selector_rle_count > total_blocks)
{
// The file is corrupted or we've got a bug.
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (3)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
selector_sym = (int)m_selectors.size();
cur_selector_rle_count--;
}
}
if (selector_sym >= (int)m_selectors.size())
{
assert(m_selector_history_buf_size > 0);
int history_buf_index = selector_sym - (int)m_selectors.size();
if (history_buf_index >= (int)selector_history_buf.size())
{
// The file is corrupted or we've got a bug.
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (4)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
selector_index = selector_history_buf[history_buf_index];
if (history_buf_index != 0)
selector_history_buf.use(history_buf_index);
}
else
{
selector_index = selector_sym;
if (m_selector_history_buf_size)
selector_history_buf.add(selector_index);
}
}
if ((endpoint_index >= m_endpoints.size()) || (selector_index >= m_selectors.size()))
{
// The file is corrupted or we've got a bug.
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (5)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
if (is_video)
(*pPrev_frame_indices)[block_x + block_y * num_blocks_x] = endpoint_index | (selector_index << 16);
#if BASISD_ENABLE_DEBUG_FLAGS
if ((g_debug_flags & cDebugFlagVisCRs) && ((fmt == block_format::cETC1) || (fmt == block_format::cBC1)))
{
if ((is_video) && (pred == 2))
{
decoder_etc_block* pDst_block = reinterpret_cast<decoder_etc_block*>(static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes);
memset(pDst_block, 0xFF, 8);
continue;
}
}
#endif
const endpoint* pEndpoints = &m_endpoints[endpoint_index];
const selector* pSelector = &m_selectors[selector_index];
switch (fmt)
{
case block_format::cETC1:
{
decoder_etc_block* pDst_block = reinterpret_cast<decoder_etc_block*>(static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes);
block.set_base5_color(decoder_etc_block::pack_color5(pEndpoints->m_color5, false));
block.set_inten_table(0, pEndpoints->m_inten5);
block.set_inten_table(1, pEndpoints->m_inten5);
pDst_block->m_uint32[0] = block.m_uint32[0];
pDst_block->set_raw_selector_bits(pSelector->m_bytes[0], pSelector->m_bytes[1], pSelector->m_bytes[2], pSelector->m_bytes[3]);
break;
}
case block_format::cBC1:
{
#if BASISD_SUPPORT_DXT1
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
#if BASISD_ENABLE_DEBUG_FLAGS
if (g_debug_flags & (cDebugFlagVisBC1Sels | cDebugFlagVisBC1Endpoints))
convert_etc1s_to_dxt1_vis(static_cast<dxt1_block*>(pDst_block), pEndpoints, pSelector, bc1_allow_threecolor_blocks);
else
#endif
convert_etc1s_to_dxt1(static_cast<dxt1_block*>(pDst_block), pEndpoints, pSelector, bc1_allow_threecolor_blocks);
#else
assert(0);
#endif
break;
}
case block_format::cBC4:
{
#if BASISD_SUPPORT_DXT5A
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_dxt5a(static_cast<dxt5a_block*>(pDst_block), pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cPVRTC1_4_RGB:
{
#if BASISD_SUPPORT_PVRTC1
block.set_base5_color(decoder_etc_block::pack_color5(pEndpoints->m_color5, false));
block.set_inten_table(0, pEndpoints->m_inten5);
block.set_inten_table(1, pEndpoints->m_inten5);
block.set_raw_selector_bits(pSelector->m_bytes[0], pSelector->m_bytes[1], pSelector->m_bytes[2], pSelector->m_bytes[3]);
((decoder_etc_block*)pPVRTC_work_mem)[block_x + block_y * num_blocks_x] = block;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
// Get block's RGB bounding box
color32 block_colors[2];
decoder_etc_block::get_block_colors5_bounds(block_colors, base_color, inten_table, low_selector, high_selector);
assert(block_colors[0][0] <= block_colors[1][0]);
assert(block_colors[0][1] <= block_colors[1][1]);
assert(block_colors[0][2] <= block_colors[1][2]);
// Set PVRTC1 endpoints to floor/ceil of bounding box's coordinates.
pvrtc4_block temp;
temp.set_opaque_endpoint_floor(0, block_colors[0]);
temp.set_opaque_endpoint_ceil(1, block_colors[1]);
pPVRTC_endpoints[block_x + block_y * num_blocks_x] = temp.m_endpoints;
#else
assert(0);
#endif
break;
}
case block_format::cPVRTC1_4_RGBA:
{
#if BASISD_SUPPORT_PVRTC1
assert(pAlpha_blocks);
block.set_base5_color(decoder_etc_block::pack_color5(pEndpoints->m_color5, false));
block.set_inten_table(0, pEndpoints->m_inten5);
block.set_inten_table(1, pEndpoints->m_inten5);
block.set_raw_selector_bits(pSelector->m_selectors[0], pSelector->m_selectors[1], pSelector->m_selectors[2], pSelector->m_selectors[3]);
((decoder_etc_block*)pPVRTC_work_mem)[block_x + block_y * num_blocks_x] = block;
// Get block's RGBA bounding box
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
color32 block_colors[2];
decoder_etc_block::get_block_colors5_bounds(block_colors, base_color, inten_table, low_selector, high_selector);
assert(block_colors[0][0] <= block_colors[1][0]);
assert(block_colors[0][1] <= block_colors[1][1]);
assert(block_colors[0][2] <= block_colors[1][2]);
const uint16_t* pAlpha_block = reinterpret_cast<uint16_t*>(static_cast<uint8_t*>(pAlpha_blocks) + (block_x + block_y * num_blocks_x) * sizeof(uint32_t));
const endpoint* pAlpha_endpoints = &m_endpoints[pAlpha_block[0]];
const selector* pAlpha_selector = &m_selectors[pAlpha_block[1]];
const color32& alpha_base_color = pAlpha_endpoints->m_color5;
const uint32_t alpha_inten_table = pAlpha_endpoints->m_inten5;
const uint32_t alpha_low_selector = pAlpha_selector->m_lo_selector;
const uint32_t alpha_high_selector = pAlpha_selector->m_hi_selector;
uint32_t alpha_block_colors[2];
decoder_etc_block::get_block_colors5_bounds_g(alpha_block_colors, alpha_base_color, alpha_inten_table, alpha_low_selector, alpha_high_selector);
assert(alpha_block_colors[0] <= alpha_block_colors[1]);
block_colors[0].a = (uint8_t)alpha_block_colors[0];
block_colors[1].a = (uint8_t)alpha_block_colors[1];
// Set PVRTC1 endpoints to floor/ceil of bounding box's coordinates.
pvrtc4_block temp;
temp.set_endpoint_floor(0, block_colors[0]);
temp.set_endpoint_ceil(1, block_colors[1]);
pPVRTC_endpoints[block_x + block_y * num_blocks_x] = temp.m_endpoints;
#else
assert(0);
#endif
break;
}
case block_format::cBC7: // for more consistency with UASTC
case block_format::cBC7_M5_COLOR:
{
#if BASISD_SUPPORT_BC7_MODE5
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_bc7_m5_color(pDst_block, pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cBC7_M5_ALPHA:
{
#if BASISD_SUPPORT_BC7_MODE5
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_bc7_m5_alpha(pDst_block, pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cETC2_EAC_A8:
{
#if BASISD_SUPPORT_ETC2_EAC_A8
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_etc2_eac_a8(static_cast<eac_block*>(pDst_block), pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cASTC_4x4:
{
#if BASISD_SUPPORT_ASTC
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_astc_4x4(pDst_block, pEndpoints, pSelector, transcode_alpha, &m_endpoints[0], &m_selectors[0]);
#else
assert(0);
#endif
break;
}
case block_format::cATC_RGB:
{
#if BASISD_SUPPORT_ATC
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_atc(pDst_block, pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cFXT1_RGB:
{
#if BASISD_SUPPORT_FXT1
const uint32_t fxt1_block_x = block_x >> 1;
const uint32_t fxt1_block_y = block_y;
const uint32_t fxt1_subblock = block_x & 1;
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (fxt1_block_x + fxt1_block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_fxt1(pDst_block, pEndpoints, pSelector, fxt1_subblock);
#else
assert(0);
#endif
break;
}
case block_format::cPVRTC2_4_RGB:
{
#if BASISD_SUPPORT_PVRTC2
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_pvrtc2_rgb(pDst_block, pEndpoints, pSelector);
#endif
break;
}
case block_format::cPVRTC2_4_RGBA:
{
#if BASISD_SUPPORT_PVRTC2
assert(transcode_alpha);
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_pvrtc2_rgba(pDst_block, pEndpoints, pSelector, &m_endpoints[0], &m_selectors[0]);
#endif
break;
}
case block_format::cIndices:
{
uint16_t* pDst_block = reinterpret_cast<uint16_t *>(static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes);
pDst_block[0] = static_cast<uint16_t>(endpoint_index);
pDst_block[1] = static_cast<uint16_t>(selector_index);
break;
}
case block_format::cA32:
{
assert(sizeof(uint32_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint32_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
int colors[4];
decoder_etc_block::get_block_colors5_g(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
if (max_x == 4)
{
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
pDst_pixels[3] = static_cast<uint8_t>(colors[s & 3]);
pDst_pixels[3+4] = static_cast<uint8_t>(colors[(s >> 2) & 3]);
pDst_pixels[3+8] = static_cast<uint8_t>(colors[(s >> 4) & 3]);
pDst_pixels[3+12] = static_cast<uint8_t>(colors[(s >> 6) & 3]);
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
}
else
{
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
pDst_pixels[3 + 4 * x] = static_cast<uint8_t>(colors[(s >> (x * 2)) & 3]);
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
}
break;
}
case block_format::cRGB32:
{
assert(sizeof(uint32_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint32_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = colors[(s >> (x * 2)) & 3];
pDst_pixels[0 + 4 * x] = c.r;
pDst_pixels[1 + 4 * x] = c.g;
pDst_pixels[2 + 4 * x] = c.b;
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
break;
}
case block_format::cRGBA32:
{
assert(sizeof(uint32_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint32_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = colors[(s >> (x * 2)) & 3];
pDst_pixels[0 + 4 * x] = c.r;
pDst_pixels[1 + 4 * x] = c.g;
pDst_pixels[2 + 4 * x] = c.b;
pDst_pixels[3 + 4 * x] = 255;
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
break;
}
case block_format::cRGB565:
case block_format::cBGR565:
{
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
uint16_t packed_colors[4];
if (fmt == block_format::cRGB565)
{
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = static_cast<uint16_t>((mul_8(colors[i].r, 31) << 11) | (mul_8(colors[i].g, 63) << 5) | mul_8(colors[i].b, 31));
if (IS_BIG_ENDIAN)
packed_colors[i] = byteswap_uint16(packed_colors[i]);
}
}
else
{
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = static_cast<uint16_t>((mul_8(colors[i].b, 31) << 11) | (mul_8(colors[i].g, 63) << 5) | mul_8(colors[i].r, 31));
if (IS_BIG_ENDIAN)
packed_colors[i] = byteswap_uint16(packed_colors[i]);
}
}
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
reinterpret_cast<uint16_t *>(pDst_pixels)[x] = packed_colors[(s >> (x * 2)) & 3];
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cRGBA4444_COLOR:
{
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
uint16_t packed_colors[4];
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = static_cast<uint16_t>((mul_8(colors[i].r, 15) << 12) | (mul_8(colors[i].g, 15) << 8) | (mul_8(colors[i].b, 15) << 4));
}
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
{
uint16_t cur = reinterpret_cast<uint16_t*>(pDst_pixels)[x];
if (IS_BIG_ENDIAN)
cur = byteswap_uint16(cur);
cur = (cur & 0xF) | packed_colors[(s >> (x * 2)) & 3];
if (IS_BIG_ENDIAN)
cur = byteswap_uint16(cur);
reinterpret_cast<uint16_t*>(pDst_pixels)[x] = cur;
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cRGBA4444_COLOR_OPAQUE:
{
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
uint16_t packed_colors[4];
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = static_cast<uint16_t>((mul_8(colors[i].r, 15) << 12) | (mul_8(colors[i].g, 15) << 8) | (mul_8(colors[i].b, 15) << 4) | 0xF);
if (IS_BIG_ENDIAN)
packed_colors[i] = byteswap_uint16(packed_colors[i]);
}
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
reinterpret_cast<uint16_t*>(pDst_pixels)[x] = packed_colors[(s >> (x * 2)) & 3];
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cRGBA4444_ALPHA:
{
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
uint16_t packed_colors[4];
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = mul_8(colors[i].g, 15);
if (IS_BIG_ENDIAN)
packed_colors[i] = byteswap_uint16(packed_colors[i]);
}
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
{
reinterpret_cast<uint16_t*>(pDst_pixels)[x] = packed_colors[(s >> (x * 2)) & 3];
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cETC2_EAC_R11:
{
#if BASISD_SUPPORT_ETC2_EAC_RG11
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_etc2_eac_r11(static_cast<eac_block*>(pDst_block), pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
default:
{
assert(0);
break;
}
}
} // block_x
} // block-y
if (endpoint_pred_repeat_count != 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: endpoint_pred_repeat_count != 0. The file is corrupted or this is a bug\n");
return false;
}
//assert(endpoint_pred_repeat_count == 0);
#if BASISD_SUPPORT_PVRTC1
// PVRTC post process - create per-pixel modulation values.
if (fmt == block_format::cPVRTC1_4_RGB)
fixup_pvrtc1_4_modulation_rgb((decoder_etc_block*)pPVRTC_work_mem, pPVRTC_endpoints, pDst_blocks, num_blocks_x, num_blocks_y);
else if (fmt == block_format::cPVRTC1_4_RGBA)
fixup_pvrtc1_4_modulation_rgba((decoder_etc_block*)pPVRTC_work_mem, pPVRTC_endpoints, pDst_blocks, num_blocks_x, num_blocks_y, pAlpha_blocks, &m_endpoints[0], &m_selectors[0]);
#endif // BASISD_SUPPORT_PVRTC1
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return true;
}
basisu_lowlevel_uastc_transcoder::basisu_lowlevel_uastc_transcoder()
{
}
bool basisu_lowlevel_uastc_transcoder::transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, const basis_file_header& header, const basis_slice_desc& slice_desc, uint32_t output_row_pitch_in_blocks_or_pixels,
basisu_transcoder_state* pState, uint32_t output_rows_in_pixels, int channel0, int channel1, uint32_t decode_flags)
{
BASISU_NOTE_UNUSED(pState);
BASISU_NOTE_UNUSED(bc1_allow_threecolor_blocks);
#if BASISD_SUPPORT_UASTC
const uint32_t total_blocks = num_blocks_x * num_blocks_y;
if (!output_row_pitch_in_blocks_or_pixels)
{
if (basis_block_format_is_uncompressed(fmt))
output_row_pitch_in_blocks_or_pixels = slice_desc.m_orig_width;
else
{
if (fmt == block_format::cFXT1_RGB)
output_row_pitch_in_blocks_or_pixels = (slice_desc.m_orig_width + 7) / 8;
else
output_row_pitch_in_blocks_or_pixels = num_blocks_x;
}
}
if (basis_block_format_is_uncompressed(fmt))
{
if (!output_rows_in_pixels)
output_rows_in_pixels = slice_desc.m_orig_height;
}
uint32_t total_expected_block_bytes = sizeof(uastc_block) * total_blocks;
if (image_data_size < total_expected_block_bytes)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_slice: image_data_size < total_expected_block_bytes The file is corrupted or this is a bug.\n");
return false;
}
const uastc_block* pSource_block = reinterpret_cast<const uastc_block *>(pImage_data);
const bool high_quality = (decode_flags & cDecodeFlagsHighQuality) != 0;
const bool from_alpha = ((header.m_flags & cBASISHeaderFlagHasAlphaSlices) != 0) && (decode_flags & cDecodeFlagsTranscodeAlphaDataToOpaqueFormats) != 0;
bool status = false;
if ((fmt == block_format::cPVRTC1_4_RGB) || (fmt == block_format::cPVRTC1_4_RGBA))
{
if (fmt == block_format::cPVRTC1_4_RGBA)
transcode_uastc_to_pvrtc1_4_rgba((const uastc_block*)pImage_data, pDst_blocks, num_blocks_x, num_blocks_y, high_quality);
else
transcode_uastc_to_pvrtc1_4_rgb((const uastc_block *)pImage_data, pDst_blocks, num_blocks_x, num_blocks_y, high_quality, from_alpha);
}
else
{
for (uint32_t block_y = 0; block_y < num_blocks_y; ++block_y)
{
void* pDst_block = (uint8_t*)pDst_blocks + block_y * output_row_pitch_in_blocks_or_pixels * output_block_or_pixel_stride_in_bytes;
for (uint32_t block_x = 0; block_x < num_blocks_x; ++block_x, ++pSource_block, pDst_block = (uint8_t *)pDst_block + output_block_or_pixel_stride_in_bytes)
{
switch (fmt)
{
case block_format::cETC1:
{
if (from_alpha)
status = transcode_uastc_to_etc1(*pSource_block, pDst_block, 3);
else
status = transcode_uastc_to_etc1(*pSource_block, pDst_block);
break;
}
case block_format::cETC2_RGBA:
{
status = transcode_uastc_to_etc2_rgba(*pSource_block, pDst_block);
break;
}
case block_format::cBC1:
{
status = transcode_uastc_to_bc1(*pSource_block, pDst_block, high_quality);
break;
}
case block_format::cBC3:
{
status = transcode_uastc_to_bc3(*pSource_block, pDst_block, high_quality);
break;
}
case block_format::cBC4:
{
if (channel0 < 0)
channel0 = 0;
status = transcode_uastc_to_bc4(*pSource_block, pDst_block, high_quality, channel0);
break;
}
case block_format::cBC5:
{
if (channel0 < 0)
channel0 = 0;
if (channel1 < 0)
channel1 = 3;
status = transcode_uastc_to_bc5(*pSource_block, pDst_block, high_quality, channel0, channel1);
break;
}
case block_format::cBC7:
case block_format::cBC7_M5_COLOR: // for consistently with ETC1S
{
status = transcode_uastc_to_bc7(*pSource_block, pDst_block);
break;
}
case block_format::cASTC_4x4:
{
status = transcode_uastc_to_astc(*pSource_block, pDst_block);
break;
}
case block_format::cETC2_EAC_R11:
{
if (channel0 < 0)
channel0 = 0;
status = transcode_uastc_to_etc2_eac_r11(*pSource_block, pDst_block, high_quality, channel0);
break;
}
case block_format::cETC2_EAC_RG11:
{
if (channel0 < 0)
channel0 = 0;
if (channel1 < 3)
channel1 = 3;
status = transcode_uastc_to_etc2_eac_rg11(*pSource_block, pDst_block, high_quality, channel0, channel1);
break;
}
case block_format::cRGBA32:
{
color32 block_pixels[4][4];
status = unpack_uastc(*pSource_block, (color32 *)block_pixels, false);
assert(sizeof(uint32_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint32_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
for (uint32_t y = 0; y < max_y; y++)
{
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = block_pixels[y][x];
pDst_pixels[0 + 4 * x] = c.r;
pDst_pixels[1 + 4 * x] = c.g;
pDst_pixels[2 + 4 * x] = c.b;
pDst_pixels[3 + 4 * x] = c.a;
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
break;
}
case block_format::cRGB565:
case block_format::cBGR565:
{
color32 block_pixels[4][4];
status = unpack_uastc(*pSource_block, (color32*)block_pixels, false);
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
for (uint32_t y = 0; y < max_y; y++)
{
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = block_pixels[y][x];
const uint16_t packed = (fmt == block_format::cRGB565) ? static_cast<uint16_t>((mul_8(c.r, 31) << 11) | (mul_8(c.g, 63) << 5) | mul_8(c.b, 31)) :
static_cast<uint16_t>((mul_8(c.b, 31) << 11) | (mul_8(c.g, 63) << 5) | mul_8(c.r, 31));
pDst_pixels[x * 2 + 0] = (uint8_t)(packed & 0xFF);
pDst_pixels[x * 2 + 1] = (uint8_t)((packed >> 8) & 0xFF);
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cRGBA4444:
{
color32 block_pixels[4][4];
status = unpack_uastc(*pSource_block, (color32*)block_pixels, false);
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
for (uint32_t y = 0; y < max_y; y++)
{
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = block_pixels[y][x];
const uint16_t packed = static_cast<uint16_t>((mul_8(c.r, 15) << 12) | (mul_8(c.g, 15) << 8) | (mul_8(c.b, 15) << 4) | mul_8(c.a, 15));
pDst_pixels[x * 2 + 0] = (uint8_t)(packed & 0xFF);
pDst_pixels[x * 2 + 1] = (uint8_t)((packed >> 8) & 0xFF);
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
default:
assert(0);
break;
}
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_slice: Transcoder failed to unpack a UASTC block - this is a bug, or the data was corrupted\n");
return false;
}
} // block_x
} // block_y
}
return true;
#else
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_slice: UASTC is unsupported\n");
BASISU_NOTE_UNUSED(decode_flags);
BASISU_NOTE_UNUSED(channel0);
BASISU_NOTE_UNUSED(channel1);
BASISU_NOTE_UNUSED(output_rows_in_pixels);
BASISU_NOTE_UNUSED(output_row_pitch_in_blocks_or_pixels);
BASISU_NOTE_UNUSED(slice_desc);
BASISU_NOTE_UNUSED(header);
BASISU_NOTE_UNUSED(output_block_or_pixel_stride_in_bytes);
BASISU_NOTE_UNUSED(fmt);
BASISU_NOTE_UNUSED(image_data_size);
BASISU_NOTE_UNUSED(pImage_data);
BASISU_NOTE_UNUSED(num_blocks_x);
BASISU_NOTE_UNUSED(num_blocks_y);
BASISU_NOTE_UNUSED(pDst_blocks);
return false;
#endif
}
basisu_transcoder::basisu_transcoder(const etc1_global_selector_codebook* pGlobal_sel_codebook) :
m_lowlevel_etc1s_decoder(pGlobal_sel_codebook),
m_ready_to_transcode(false)
{
}
bool basisu_transcoder::validate_file_checksums(const void* pData, uint32_t data_size, bool full_validation) const
{
if (!validate_header(pData, data_size))
return false;
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
#if !BASISU_NO_HEADER_OR_DATA_CRC16_CHECKS
if (crc16(&pHeader->m_data_size, sizeof(basis_file_header) - BASISU_OFFSETOF(basis_file_header, m_data_size), 0) != pHeader->m_header_crc16)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header CRC check failed\n");
return false;
}
if (full_validation)
{
if (crc16(reinterpret_cast<const uint8_t*>(pData) + sizeof(basis_file_header), pHeader->m_data_size, 0) != pHeader->m_data_crc16)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: data CRC check failed\n");
return false;
}
}
#endif
return true;
}
bool basisu_transcoder::validate_header_quick(const void* pData, uint32_t data_size) const
{
if (data_size <= sizeof(basis_file_header))
return false;
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
if ((pHeader->m_sig != basis_file_header::cBASISSigValue) || (pHeader->m_ver != BASISD_SUPPORTED_BASIS_VERSION) || (pHeader->m_header_size != sizeof(basis_file_header)))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header has an invalid signature, or file version is unsupported\n");
return false;
}
uint32_t expected_file_size = sizeof(basis_file_header) + pHeader->m_data_size;
if (data_size < expected_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: source buffer is too small\n");
return false;
}
if ((!pHeader->m_total_slices) || (!pHeader->m_total_images))
{
BASISU_DEVEL_ERROR("basisu_transcoder::validate_header_quick: header is invalid\n");
return false;
}
if ((pHeader->m_slice_desc_file_ofs >= data_size) ||
((data_size - pHeader->m_slice_desc_file_ofs) < (sizeof(basis_slice_desc) * pHeader->m_total_slices))
)
{
BASISU_DEVEL_ERROR("basisu_transcoder::validate_header_quick: passed in buffer is too small or data is corrupted\n");
return false;
}
return true;
}
bool basisu_transcoder::validate_header(const void* pData, uint32_t data_size) const
{
if (data_size <= sizeof(basis_file_header))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: input source buffer is too small\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
if ((pHeader->m_sig != basis_file_header::cBASISSigValue) || (pHeader->m_ver != BASISD_SUPPORTED_BASIS_VERSION) || (pHeader->m_header_size != sizeof(basis_file_header)))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header has an invalid signature, or file version is unsupported\n");
return false;
}
uint32_t expected_file_size = sizeof(basis_file_header) + pHeader->m_data_size;
if (data_size < expected_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: input source buffer is too small, or header is corrupted\n");
return false;
}
if ((!pHeader->m_total_images) || (!pHeader->m_total_slices))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: invalid basis file (total images or slices are 0)\n");
return false;
}
if (pHeader->m_total_images > pHeader->m_total_slices)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: invalid basis file (too many images)\n");
return false;
}
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
if (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices)
{
if (pHeader->m_total_slices & 1)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: invalid alpha .basis file\n");
return false;
}
}
// This flag dates back to pre-Basis Universal, when .basis supported full ETC1 too.
if ((pHeader->m_flags & cBASISHeaderFlagETC1S) == 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: Invalid .basis file (ETC1S check)\n");
return false;
}
}
else
{
if ((pHeader->m_flags & cBASISHeaderFlagETC1S) != 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: Invalid .basis file (ETC1S check)\n");
return false;
}
}
if ((pHeader->m_slice_desc_file_ofs >= data_size) ||
((data_size - pHeader->m_slice_desc_file_ofs) < (sizeof(basis_slice_desc) * pHeader->m_total_slices))
)
{
BASISU_DEVEL_ERROR("basisu_transcoder::validate_header_quick: passed in buffer is too small or data is corrupted\n");
return false;
}
return true;
}
basis_texture_type basisu_transcoder::get_texture_type(const void* pData, uint32_t data_size) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_texture_type: header validation failed\n");
return cBASISTexType2DArray;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
basis_texture_type btt = static_cast<basis_texture_type>(static_cast<uint8_t>(pHeader->m_tex_type));
if (btt >= cBASISTexTypeTotal)
{
BASISU_DEVEL_ERROR("basisu_transcoder::validate_header_quick: header's texture type field is invalid\n");
return cBASISTexType2DArray;
}
return btt;
}
bool basisu_transcoder::get_userdata(const void* pData, uint32_t data_size, uint32_t& userdata0, uint32_t& userdata1) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_userdata: header validation failed\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
userdata0 = pHeader->m_userdata0;
userdata1 = pHeader->m_userdata1;
return true;
}
uint32_t basisu_transcoder::get_total_images(const void* pData, uint32_t data_size) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header validation failed\n");
return 0;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
return pHeader->m_total_images;
}
basis_tex_format basisu_transcoder::get_tex_format(const void* pData, uint32_t data_size) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header validation failed\n");
return basis_tex_format::cETC1S;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
return (basis_tex_format)(uint32_t)pHeader->m_tex_format;
}
bool basisu_transcoder::get_image_info(const void* pData, uint32_t data_size, basisu_image_info& image_info, uint32_t image_index) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_info: header validation failed\n");
return false;
}
int slice_index = find_first_slice_index(pData, data_size, image_index, 0);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_info: invalid slice index\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
if (image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_info: invalid image_index\n");
return false;
}
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
uint32_t total_levels = 1;
for (uint32_t i = slice_index + 1; i < pHeader->m_total_slices; i++)
if (pSlice_descs[i].m_image_index == image_index)
total_levels = basisu::maximum<uint32_t>(total_levels, pSlice_descs[i].m_level_index + 1);
else
break;
if (total_levels > 16)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_info: invalid image_index\n");
return false;
}
const basis_slice_desc& slice_desc = pSlice_descs[slice_index];
image_info.m_image_index = image_index;
image_info.m_total_levels = total_levels;
image_info.m_alpha_flag = false;
// For ETC1S, if anything has alpha all images have alpha. For UASTC, we only report alpha when the image actually has alpha.
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
image_info.m_alpha_flag = (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices) != 0;
else
image_info.m_alpha_flag = (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0;
image_info.m_iframe_flag = (slice_desc.m_flags & cSliceDescFlagsFrameIsIFrame) != 0;
image_info.m_width = slice_desc.m_num_blocks_x * 4;
image_info.m_height = slice_desc.m_num_blocks_y * 4;
image_info.m_orig_width = slice_desc.m_orig_width;
image_info.m_orig_height = slice_desc.m_orig_height;
image_info.m_num_blocks_x = slice_desc.m_num_blocks_x;
image_info.m_num_blocks_y = slice_desc.m_num_blocks_y;
image_info.m_total_blocks = image_info.m_num_blocks_x * image_info.m_num_blocks_y;
image_info.m_first_slice_index = slice_index;
return true;
}
uint32_t basisu_transcoder::get_total_image_levels(const void* pData, uint32_t data_size, uint32_t image_index) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_image_levels: header validation failed\n");
return false;
}
int slice_index = find_first_slice_index(pData, data_size, image_index, 0);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_image_levels: failed finding slice\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
if (image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_image_levels: invalid image_index\n");
return false;
}
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
uint32_t total_levels = 1;
for (uint32_t i = slice_index + 1; i < pHeader->m_total_slices; i++)
if (pSlice_descs[i].m_image_index == image_index)
total_levels = basisu::maximum<uint32_t>(total_levels, pSlice_descs[i].m_level_index + 1);
else
break;
const uint32_t cMaxSupportedLevels = 16;
if (total_levels > cMaxSupportedLevels)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_image_levels: invalid image levels!\n");
return false;
}
return total_levels;
}
bool basisu_transcoder::get_image_level_desc(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index, uint32_t& orig_width, uint32_t& orig_height, uint32_t& total_blocks) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_desc: header validation failed\n");
return false;
}
int slice_index = find_first_slice_index(pData, data_size, image_index, level_index);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_desc: failed finding slice\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
if (image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_desc: invalid image_index\n");
return false;
}
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
const basis_slice_desc& slice_desc = pSlice_descs[slice_index];
orig_width = slice_desc.m_orig_width;
orig_height = slice_desc.m_orig_height;
total_blocks = slice_desc.m_num_blocks_x * slice_desc.m_num_blocks_y;
return true;
}
bool basisu_transcoder::get_image_level_info(const void* pData, uint32_t data_size, basisu_image_level_info& image_info, uint32_t image_index, uint32_t level_index) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_info: validate_file_checksums failed\n");
return false;
}
int slice_index = find_first_slice_index(pData, data_size, image_index, level_index);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_info: failed finding slice\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
if (image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_info: invalid image_index\n");
return false;
}
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
const basis_slice_desc& slice_desc = pSlice_descs[slice_index];
image_info.m_image_index = image_index;
image_info.m_level_index = level_index;
// For ETC1S, if anything has alpha all images have alpha. For UASTC, we only report alpha when the image actually has alpha.
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
image_info.m_alpha_flag = (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices) != 0;
else
image_info.m_alpha_flag = (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0;
image_info.m_iframe_flag = (slice_desc.m_flags & cSliceDescFlagsFrameIsIFrame) != 0;
image_info.m_width = slice_desc.m_num_blocks_x * 4;
image_info.m_height = slice_desc.m_num_blocks_y * 4;
image_info.m_orig_width = slice_desc.m_orig_width;
image_info.m_orig_height = slice_desc.m_orig_height;
image_info.m_num_blocks_x = slice_desc.m_num_blocks_x;
image_info.m_num_blocks_y = slice_desc.m_num_blocks_y;
image_info.m_total_blocks = image_info.m_num_blocks_x * image_info.m_num_blocks_y;
image_info.m_first_slice_index = slice_index;
return true;
}
bool basisu_transcoder::get_file_info(const void* pData, uint32_t data_size, basisu_file_info& file_info) const
{
if (!validate_file_checksums(pData, data_size, false))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_file_info: validate_file_checksums failed\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
file_info.m_version = pHeader->m_ver;
file_info.m_total_header_size = sizeof(basis_file_header) + pHeader->m_total_slices * sizeof(basis_slice_desc);
file_info.m_total_selectors = pHeader->m_total_selectors;
file_info.m_selector_codebook_size = pHeader->m_selector_cb_file_size;
file_info.m_total_endpoints = pHeader->m_total_endpoints;
file_info.m_endpoint_codebook_size = pHeader->m_endpoint_cb_file_size;
file_info.m_tables_size = pHeader->m_tables_file_size;
file_info.m_tex_format = static_cast<basis_tex_format>(static_cast<int>(pHeader->m_tex_format));
file_info.m_etc1s = (pHeader->m_tex_format == (int)basis_tex_format::cETC1S);
file_info.m_y_flipped = (pHeader->m_flags & cBASISHeaderFlagYFlipped) != 0;
file_info.m_has_alpha_slices = (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices) != 0;
const uint32_t total_slices = pHeader->m_total_slices;
file_info.m_slice_info.resize(total_slices);
file_info.m_slices_size = 0;
file_info.m_tex_type = static_cast<basis_texture_type>(static_cast<uint8_t>(pHeader->m_tex_type));
if (file_info.m_tex_type > cBASISTexTypeTotal)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_file_info: invalid texture type, file is corrupted\n");
return false;
}
file_info.m_us_per_frame = pHeader->m_us_per_frame;
file_info.m_userdata0 = pHeader->m_userdata0;
file_info.m_userdata1 = pHeader->m_userdata1;
file_info.m_image_mipmap_levels.resize(0);
file_info.m_image_mipmap_levels.resize(pHeader->m_total_images);
file_info.m_total_images = pHeader->m_total_images;
for (uint32_t i = 0; i < total_slices; i++)
{
file_info.m_slices_size += pSlice_descs[i].m_file_size;
basisu_slice_info& slice_info = file_info.m_slice_info[i];
slice_info.m_orig_width = pSlice_descs[i].m_orig_width;
slice_info.m_orig_height = pSlice_descs[i].m_orig_height;
slice_info.m_width = pSlice_descs[i].m_num_blocks_x * 4;
slice_info.m_height = pSlice_descs[i].m_num_blocks_y * 4;
slice_info.m_num_blocks_x = pSlice_descs[i].m_num_blocks_x;
slice_info.m_num_blocks_y = pSlice_descs[i].m_num_blocks_y;
slice_info.m_total_blocks = slice_info.m_num_blocks_x * slice_info.m_num_blocks_y;
slice_info.m_compressed_size = pSlice_descs[i].m_file_size;
slice_info.m_slice_index = i;
slice_info.m_image_index = pSlice_descs[i].m_image_index;
slice_info.m_level_index = pSlice_descs[i].m_level_index;
slice_info.m_unpacked_slice_crc16 = pSlice_descs[i].m_slice_data_crc16;
slice_info.m_alpha_flag = (pSlice_descs[i].m_flags & cSliceDescFlagsHasAlpha) != 0;
slice_info.m_iframe_flag = (pSlice_descs[i].m_flags & cSliceDescFlagsFrameIsIFrame) != 0;
if (pSlice_descs[i].m_image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_file_info: slice desc's image index is invalid\n");
return false;
}
file_info.m_image_mipmap_levels[pSlice_descs[i].m_image_index] = basisu::maximum<uint32_t>(file_info.m_image_mipmap_levels[pSlice_descs[i].m_image_index], pSlice_descs[i].m_level_index + 1);
if (file_info.m_image_mipmap_levels[pSlice_descs[i].m_image_index] > 16)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_file_info: slice mipmap level is invalid\n");
return false;
}
}
return true;
}
bool basisu_transcoder::start_transcoding(const void* pData, uint32_t data_size)
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: header validation failed\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
if (m_lowlevel_etc1s_decoder.m_endpoints.size())
{
m_lowlevel_etc1s_decoder.clear();
}
if (!pHeader->m_endpoint_cb_file_size || !pHeader->m_selector_cb_file_size || !pHeader->m_tables_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted (0)\n");
}
if ((pHeader->m_endpoint_cb_file_ofs > data_size) || (pHeader->m_selector_cb_file_ofs > data_size) || (pHeader->m_tables_file_ofs > data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (1)\n");
return false;
}
if (pHeader->m_endpoint_cb_file_size > (data_size - pHeader->m_endpoint_cb_file_ofs))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (2)\n");
return false;
}
if (pHeader->m_selector_cb_file_size > (data_size - pHeader->m_selector_cb_file_ofs))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (3)\n");
return false;
}
if (pHeader->m_tables_file_size > (data_size - pHeader->m_tables_file_ofs))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (3)\n");
return false;
}
if (!m_lowlevel_etc1s_decoder.decode_palettes(
pHeader->m_total_endpoints, pDataU8 + pHeader->m_endpoint_cb_file_ofs, pHeader->m_endpoint_cb_file_size,
pHeader->m_total_selectors, pDataU8 + pHeader->m_selector_cb_file_ofs, pHeader->m_selector_cb_file_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: decode_palettes failed\n");
return false;
}
if (!m_lowlevel_etc1s_decoder.decode_tables(pDataU8 + pHeader->m_tables_file_ofs, pHeader->m_tables_file_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: decode_tables failed\n");
return false;
}
}
else
{
// Nothing special to do for UASTC.
if (m_lowlevel_etc1s_decoder.m_endpoints.size())
{
m_lowlevel_etc1s_decoder.clear();
}
}
m_ready_to_transcode = true;
return true;
}
bool basisu_transcoder::stop_transcoding()
{
m_lowlevel_etc1s_decoder.clear();
m_ready_to_transcode = false;
return true;
}
bool basisu_transcoder::transcode_slice(const void* pData, uint32_t data_size, uint32_t slice_index, void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, uint32_t decode_flags, uint32_t output_row_pitch_in_blocks_or_pixels, basisu_transcoder_state* pState, void *pAlpha_blocks, uint32_t output_rows_in_pixels, int channel0, int channel1) const
{
if (!m_ready_to_transcode)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: must call start_transcoding first\n");
return false;
}
if (decode_flags & cDecodeFlagsPVRTCDecodeToNextPow2)
{
// TODO: Not yet supported
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: cDecodeFlagsPVRTCDecodeToNextPow2 currently unsupported\n");
return false;
}
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: header validation failed\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
if (slice_index >= pHeader->m_total_slices)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: slice_index >= pHeader->m_total_slices\n");
return false;
}
const basis_slice_desc& slice_desc = reinterpret_cast<const basis_slice_desc*>(pDataU8 + pHeader->m_slice_desc_file_ofs)[slice_index];
uint32_t total_4x4_blocks = slice_desc.m_num_blocks_x * slice_desc.m_num_blocks_y;
if (basis_block_format_is_uncompressed(fmt))
{
// Assume the output buffer is orig_width by orig_height
if (!output_row_pitch_in_blocks_or_pixels)
output_row_pitch_in_blocks_or_pixels = slice_desc.m_orig_width;
if (!output_rows_in_pixels)
output_rows_in_pixels = slice_desc.m_orig_height;
// Now make sure the output buffer is large enough, or we'll overwrite memory.
if (output_blocks_buf_size_in_blocks_or_pixels < (output_rows_in_pixels * output_row_pitch_in_blocks_or_pixels))
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: output_blocks_buf_size_in_blocks_or_pixels < (output_rows_in_pixels * output_row_pitch_in_blocks_or_pixels)\n");
return false;
}
}
else if (fmt == block_format::cFXT1_RGB)
{
const uint32_t num_blocks_fxt1_x = (slice_desc.m_orig_width + 7) / 8;
const uint32_t num_blocks_fxt1_y = (slice_desc.m_orig_height + 3) / 4;
const uint32_t total_blocks_fxt1 = num_blocks_fxt1_x * num_blocks_fxt1_y;
if (output_blocks_buf_size_in_blocks_or_pixels < total_blocks_fxt1)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: output_blocks_buf_size_in_blocks_or_pixels < total_blocks_fxt1\n");
return false;
}
}
else
{
if (output_blocks_buf_size_in_blocks_or_pixels < total_4x4_blocks)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: output_blocks_buf_size_in_blocks_or_pixels < total_blocks\n");
return false;
}
}
if (fmt != block_format::cETC1)
{
if ((fmt == block_format::cPVRTC1_4_RGB) || (fmt == block_format::cPVRTC1_4_RGBA))
{
if ((!basisu::is_pow2(slice_desc.m_num_blocks_x * 4)) || (!basisu::is_pow2(slice_desc.m_num_blocks_y * 4)))
{
// PVRTC1 only supports power of 2 dimensions
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: PVRTC1 only supports power of 2 dimensions\n");
return false;
}
}
}
if (slice_desc.m_file_ofs > data_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: invalid slice_desc.m_file_ofs, or passed in buffer too small\n");
return false;
}
const uint32_t data_size_left = data_size - slice_desc.m_file_ofs;
if (data_size_left < slice_desc.m_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: invalid slice_desc.m_file_size, or passed in buffer too small\n");
return false;
}
if (pHeader->m_tex_format == (int)basis_tex_format::cUASTC4x4)
{
return m_lowlevel_uastc_decoder.transcode_slice(pOutput_blocks, slice_desc.m_num_blocks_x, slice_desc.m_num_blocks_y,
pDataU8 + slice_desc.m_file_ofs, slice_desc.m_file_size,
fmt, output_block_or_pixel_stride_in_bytes, (decode_flags & cDecodeFlagsBC1ForbidThreeColorBlocks) == 0, *pHeader, slice_desc, output_row_pitch_in_blocks_or_pixels, pState,
output_rows_in_pixels, channel0, channel1, decode_flags);
}
else
{
return m_lowlevel_etc1s_decoder.transcode_slice(pOutput_blocks, slice_desc.m_num_blocks_x, slice_desc.m_num_blocks_y,
pDataU8 + slice_desc.m_file_ofs, slice_desc.m_file_size,
fmt, output_block_or_pixel_stride_in_bytes, (decode_flags & cDecodeFlagsBC1ForbidThreeColorBlocks) == 0, *pHeader, slice_desc, output_row_pitch_in_blocks_or_pixels, pState,
(decode_flags & cDecodeFlagsOutputHasAlphaIndices) != 0, pAlpha_blocks, output_rows_in_pixels);
}
}
int basisu_transcoder::find_first_slice_index(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index) const
{
BASISU_NOTE_UNUSED(data_size);
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
// For very large basis files this search could be painful
// TODO: Binary search this
for (uint32_t slice_iter = 0; slice_iter < pHeader->m_total_slices; slice_iter++)
{
const basis_slice_desc& slice_desc = reinterpret_cast<const basis_slice_desc*>(pDataU8 + pHeader->m_slice_desc_file_ofs)[slice_iter];
if ((slice_desc.m_image_index == image_index) && (slice_desc.m_level_index == level_index))
return slice_iter;
}
BASISU_DEVEL_ERROR("basisu_transcoder::find_first_slice_index: didn't find slice\n");
return -1;
}
int basisu_transcoder::find_slice(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index, bool alpha_data) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::find_slice: header validation failed\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(pDataU8 + pHeader->m_slice_desc_file_ofs);
// For very large basis files this search could be painful
// TODO: Binary search this
for (uint32_t slice_iter = 0; slice_iter < pHeader->m_total_slices; slice_iter++)
{
const basis_slice_desc& slice_desc = pSlice_descs[slice_iter];
if ((slice_desc.m_image_index == image_index) && (slice_desc.m_level_index == level_index))
{
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
const bool slice_alpha = (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0;
if (slice_alpha == alpha_data)
return slice_iter;
}
else
{
return slice_iter;
}
}
}
BASISU_DEVEL_ERROR("basisu_transcoder::find_slice: didn't find slice\n");
return -1;
}
static void write_opaque_alpha_blocks(
uint32_t num_blocks_x, uint32_t num_blocks_y,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels, block_format fmt,
uint32_t block_stride_in_bytes, uint32_t output_row_pitch_in_blocks_or_pixels)
{
// 'num_blocks_y', 'pOutput_blocks' & 'block_stride_in_bytes' unused
// when disabling BASISD_SUPPORT_ETC2_EAC_A8 *and* BASISD_SUPPORT_DXT5A
BASISU_NOTE_UNUSED(num_blocks_y);
BASISU_NOTE_UNUSED(pOutput_blocks);
BASISU_NOTE_UNUSED(block_stride_in_bytes);
BASISU_NOTE_UNUSED(output_blocks_buf_size_in_blocks_or_pixels);
if (!output_row_pitch_in_blocks_or_pixels)
output_row_pitch_in_blocks_or_pixels = num_blocks_x;
if ((fmt == block_format::cETC2_EAC_A8) || (fmt == block_format::cETC2_EAC_R11))
{
#if BASISD_SUPPORT_ETC2_EAC_A8
eac_block blk;
blk.m_base = 255;
blk.m_multiplier = 1;
blk.m_table = 13;
// Selectors are all 4's
memcpy(&blk.m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
for (uint32_t y = 0; y < num_blocks_y; y++)
{
uint32_t dst_ofs = y * output_row_pitch_in_blocks_or_pixels * block_stride_in_bytes;
for (uint32_t x = 0; x < num_blocks_x; x++)
{
memcpy((uint8_t*)pOutput_blocks + dst_ofs, &blk, sizeof(blk));
dst_ofs += block_stride_in_bytes;
}
}
#endif
}
else if (fmt == block_format::cBC4)
{
#if BASISD_SUPPORT_DXT5A
dxt5a_block blk;
blk.m_endpoints[0] = 255;
blk.m_endpoints[1] = 255;
memset(blk.m_selectors, 0, sizeof(blk.m_selectors));
for (uint32_t y = 0; y < num_blocks_y; y++)
{
uint32_t dst_ofs = y * output_row_pitch_in_blocks_or_pixels * block_stride_in_bytes;
for (uint32_t x = 0; x < num_blocks_x; x++)
{
memcpy((uint8_t*)pOutput_blocks + dst_ofs, &blk, sizeof(blk));
dst_ofs += block_stride_in_bytes;
}
}
#endif
}
}
bool basisu_transcoder::transcode_image_level(
const void* pData, uint32_t data_size,
uint32_t image_index, uint32_t level_index,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
transcoder_texture_format fmt,
uint32_t decode_flags, uint32_t output_row_pitch_in_blocks_or_pixels, basisu_transcoder_state *pState, uint32_t output_rows_in_pixels) const
{
const uint32_t bytes_per_block_or_pixel = basis_get_bytes_per_block_or_pixel(fmt);
if (!m_ready_to_transcode)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: must call start_transcoding() first\n");
return false;
}
const bool transcode_alpha_data_to_opaque_formats = (decode_flags & cDecodeFlagsTranscodeAlphaDataToOpaqueFormats) != 0;
if (decode_flags & cDecodeFlagsPVRTCDecodeToNextPow2)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: cDecodeFlagsPVRTCDecodeToNextPow2 currently unsupported\n");
// TODO: Not yet supported
return false;
}
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: header validation failed\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(pDataU8 + pHeader->m_slice_desc_file_ofs);
const bool basis_file_has_alpha_slices = (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices) != 0;
int slice_index = find_first_slice_index(pData, data_size, image_index, level_index);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: failed finding slice index\n");
// Unable to find the requested image/level
return false;
}
if ((fmt == transcoder_texture_format::cTFPVRTC1_4_RGBA) && (!basis_file_has_alpha_slices))
{
// Switch to PVRTC1 RGB if the input doesn't have alpha.
fmt = transcoder_texture_format::cTFPVRTC1_4_RGB;
}
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
if (pSlice_descs[slice_index].m_flags & cSliceDescFlagsHasAlpha)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: alpha basis file has out of order alpha slice\n");
// The first slice shouldn't have alpha data in a properly formed basis file
return false;
}
if (basis_file_has_alpha_slices)
{
// The alpha data should immediately follow the color data, and have the same resolution.
if ((slice_index + 1U) >= pHeader->m_total_slices)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: alpha basis file has missing alpha slice\n");
// basis file is missing the alpha slice
return false;
}
// Basic sanity checks
if ((pSlice_descs[slice_index + 1].m_flags & cSliceDescFlagsHasAlpha) == 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: alpha basis file has missing alpha slice (flag check)\n");
// This slice should have alpha data
return false;
}
if ((pSlice_descs[slice_index].m_num_blocks_x != pSlice_descs[slice_index + 1].m_num_blocks_x) || (pSlice_descs[slice_index].m_num_blocks_y != pSlice_descs[slice_index + 1].m_num_blocks_y))
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: alpha basis file slice dimensions bad\n");
// Alpha slice should have been the same res as the color slice
return false;
}
}
}
bool status = false;
const uint32_t total_slice_blocks = pSlice_descs[slice_index].m_num_blocks_x * pSlice_descs[slice_index].m_num_blocks_y;
if (((fmt == transcoder_texture_format::cTFPVRTC1_4_RGB) || (fmt == transcoder_texture_format::cTFPVRTC1_4_RGBA)) && (output_blocks_buf_size_in_blocks_or_pixels > total_slice_blocks))
{
// The transcoder doesn't write beyond total_slice_blocks, so we need to clear the rest ourselves.
// For GL usage, PVRTC1 4bpp image size is (max(width, 8)* max(height, 8) * 4 + 7) / 8.
// However, for KTX and internally in Basis this formula isn't used, it's just ((width+3)/4) * ((height+3)/4) * bytes_per_block_or_pixel. This is all the transcoder actually writes to memory.
memset(static_cast<uint8_t*>(pOutput_blocks) + total_slice_blocks * bytes_per_block_or_pixel, 0, (output_blocks_buf_size_in_blocks_or_pixels - total_slice_blocks) * bytes_per_block_or_pixel);
}
if (pHeader->m_tex_format == (int)basis_tex_format::cUASTC4x4)
{
// UASTC4x4
switch (fmt)
{
case transcoder_texture_format::cTFETC1_RGB:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC1, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to ETC1 failed\n");
}
break;
}
case transcoder_texture_format::cTFETC2_RGBA:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_RGBA, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to ETC2 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC1_RGB:
{
// TODO: ETC1S allows BC1 from alpha channel. That doesn't seem actually useful, though.
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC1, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to BC1 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC3_RGBA:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC3, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to BC3 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC4_R:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState,
nullptr, 0,
((basis_file_has_alpha_slices) && (transcode_alpha_data_to_opaque_formats)) ? 3 : 0);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to BC4 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC5_RG:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC5, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState,
nullptr, 0,
0, 3);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to BC5 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC7, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to BC7 failed\n");
}
break;
}
case transcoder_texture_format::cTFPVRTC1_4_RGB:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC1_4_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to PVRTC1 RGB 4bpp failed\n");
}
break;
}
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC1_4_RGBA, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to PVRTC1 RGBA 4bpp failed\n");
}
break;
}
case transcoder_texture_format::cTFASTC_4x4_RGBA:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cASTC_4x4, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to ASTC 4x4 failed\n");
}
break;
}
case transcoder_texture_format::cTFATC_RGB:
case transcoder_texture_format::cTFATC_RGBA:
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: UASTC->ATC currently unsupported\n");
return false;
}
case transcoder_texture_format::cTFFXT1_RGB:
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: UASTC->FXT1 currently unsupported\n");
return false;
}
case transcoder_texture_format::cTFPVRTC2_4_RGB:
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: UASTC->PVRTC2 currently unsupported\n");
return false;
}
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: UASTC->PVRTC2 currently unsupported\n");
return false;
}
case transcoder_texture_format::cTFETC2_EAC_R11:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_R11, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState,
nullptr, 0,
((basis_file_has_alpha_slices) && (transcode_alpha_data_to_opaque_formats)) ? 3 : 0);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to EAC R11 failed\n");
}
break;
}
case transcoder_texture_format::cTFETC2_EAC_RG11:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_RG11, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState,
nullptr, 0,
0, 3);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to EAC RG11 failed\n");
}
break;
}
case transcoder_texture_format::cTFRGBA32:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cRGBA32, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to RGBA32 failed\n");
}
break;
}
case transcoder_texture_format::cTFRGB565:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cRGB565, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to RGB565 failed\n");
}
break;
}
case transcoder_texture_format::cTFBGR565:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBGR565, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to RGB565 failed\n");
}
break;
}
case transcoder_texture_format::cTFRGBA4444:
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cRGBA4444, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to RGBA4444 failed\n");
}
break;
}
default:
{
assert(0);
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: Invalid fmt\n");
break;
}
}
}
else
{
// ETC1S
switch (fmt)
{
case transcoder_texture_format::cTFETC1_RGB:
{
uint32_t slice_index_to_decode = slice_index;
// If the caller wants us to transcode the mip level's alpha data, then use the next slice.
if ((basis_file_has_alpha_slices) && (transcode_alpha_data_to_opaque_formats))
slice_index_to_decode++;
status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC1, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to ETC1 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC1_RGB:
{
#if !BASISD_SUPPORT_DXT1
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: DXT1 unsupported\n");
return false;
#endif
uint32_t slice_index_to_decode = slice_index;
// If the caller wants us to transcode the mip level's alpha data, then use the next slice.
if ((basis_file_has_alpha_slices) && (transcode_alpha_data_to_opaque_formats))
slice_index_to_decode++;
status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC1, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to BC1 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC4_R:
{
#if !BASISD_SUPPORT_DXT5A
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: DXT5A unsupported\n");
return false;
#endif
uint32_t slice_index_to_decode = slice_index;
// If the caller wants us to transcode the mip level's alpha data, then use the next slice.
if ((basis_file_has_alpha_slices) && (transcode_alpha_data_to_opaque_formats))
slice_index_to_decode++;
status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to BC4 failed\n");
}
break;
}
case transcoder_texture_format::cTFPVRTC1_4_RGB:
{
#if !BASISD_SUPPORT_PVRTC1
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: PVRTC1 unsupported\n");
return false;
#endif
uint32_t slice_index_to_decode = slice_index;
// If the caller wants us to transcode the mip level's alpha data, then use the next slice.
if ((basis_file_has_alpha_slices) && (transcode_alpha_data_to_opaque_formats))
slice_index_to_decode++;
// output_row_pitch_in_blocks_or_pixels is actually ignored because we're transcoding to PVRTC1. (Print a dev warning if it's != 0?)
status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC1_4_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to PVRTC1 4 RGB failed\n");
}
break;
}
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
{
#if !BASISD_SUPPORT_PVRTC1
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: PVRTC1 unsupported\n");
return false;
#endif
assert(basis_file_has_alpha_slices);
// Temp buffer to hold alpha block endpoint/selector indices
std::vector<uint32_t> temp_block_indices(total_slice_blocks);
// First transcode alpha data to temp buffer
status = transcode_slice(pData, data_size, slice_index + 1, &temp_block_indices[0], total_slice_blocks, block_format::cIndices, sizeof(uint32_t), decode_flags, pSlice_descs[slice_index].m_num_blocks_x, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to PVRTC1 4 RGBA failed (0)\n");
}
else
{
// output_row_pitch_in_blocks_or_pixels is actually ignored because we're transcoding to PVRTC1. (Print a dev warning if it's != 0?)
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC1_4_RGBA, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState, &temp_block_indices[0]);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to PVRTC1 4 RGBA failed (1)\n");
}
}
break;
}
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
{
#if !BASISD_SUPPORT_BC7_MODE5
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: BC7 unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
// We used to support transcoding just alpha to BC7 - but is that useful at all?
// First transcode the color slice. The cBC7_M5_COLOR transcoder will output opaque mode 5 blocks.
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC7_M5_COLOR, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if ((status) && (basis_file_has_alpha_slices))
{
// Now transcode the alpha slice. The cBC7_M5_ALPHA transcoder will now change the opaque mode 5 blocks to blocks with alpha.
status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC7_M5_ALPHA, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
}
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to BC7 failed (0)\n");
}
break;
#endif
}
case transcoder_texture_format::cTFETC2_RGBA:
{
#if !BASISD_SUPPORT_ETC2_EAC_A8
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: ETC2 EAC A8 unsupported\n");
return false;
#endif
assert(bytes_per_block_or_pixel == 16);
if (basis_file_has_alpha_slices)
{
// First decode the alpha data
status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_A8, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
}
else
{
write_opaque_alpha_blocks(pSlice_descs[slice_index].m_num_blocks_x, pSlice_descs[slice_index].m_num_blocks_y, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_A8, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
if (status)
{
// Now decode the color data
status = transcode_slice(pData, data_size, slice_index, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC1, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to ETC2 RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to ETC2 A failed\n");
}
break;
}
case transcoder_texture_format::cTFBC3_RGBA:
{
#if !BASISD_SUPPORT_DXT1
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: DXT1 unsupported\n");
return false;
#endif
#if !BASISD_SUPPORT_DXT5A
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: DXT5A unsupported\n");
return false;
#endif
assert(bytes_per_block_or_pixel == 16);
// First decode the alpha data
if (basis_file_has_alpha_slices)
{
status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
}
else
{
write_opaque_alpha_blocks(pSlice_descs[slice_index].m_num_blocks_x, pSlice_descs[slice_index].m_num_blocks_y, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
if (status)
{
// Now decode the color data. Forbid 3 color blocks, which aren't allowed in BC3.
status = transcode_slice(pData, data_size, slice_index, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC1, 16, decode_flags | cDecodeFlagsBC1ForbidThreeColorBlocks, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to BC3 RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to BC3 A failed\n");
}
break;
}
case transcoder_texture_format::cTFBC5_RG:
{
#if !BASISD_SUPPORT_DXT5A
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: DXT5A unsupported\n");
return false;
#endif
assert(bytes_per_block_or_pixel == 16);
// Decode the R data (actually the green channel of the color data slice in the basis file)
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (status)
{
if (basis_file_has_alpha_slices)
{
// Decode the G data (actually the green channel of the alpha data slice in the basis file)
status = transcode_slice(pData, data_size, slice_index + 1, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to BC5 1 failed\n");
}
}
else
{
write_opaque_alpha_blocks(pSlice_descs[slice_index].m_num_blocks_x, pSlice_descs[slice_index].m_num_blocks_y, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
}
else
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to BC5 channel 0 failed\n");
}
break;
}
case transcoder_texture_format::cTFASTC_4x4_RGBA:
{
#if !BASISD_SUPPORT_ASTC
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: ASTC unsupported\n");
return false;
#endif
assert(bytes_per_block_or_pixel == 16);
if (basis_file_has_alpha_slices)
{
// First decode the alpha data to the output (we're using the output texture as a temp buffer here).
status = transcode_slice(pData, data_size, slice_index + 1, (uint8_t*)pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cIndices, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (status)
{
// Now decode the color data and transcode to ASTC. The transcoder function will read the alpha selector data from the output texture as it converts and
// transcode both the alpha and color data at the same time to ASTC.
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cASTC_4x4, 16, decode_flags | cDecodeFlagsOutputHasAlphaIndices, output_row_pitch_in_blocks_or_pixels, pState);
}
}
else
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cASTC_4x4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to ASTC failed (0)\n");
}
break;
}
case transcoder_texture_format::cTFATC_RGB:
{
#if !BASISD_SUPPORT_ATC
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: ATC unsupported\n");
return false;
#endif
uint32_t slice_index_to_decode = slice_index;
// If the caller wants us to transcode the mip level's alpha data, then use the next slice.
if ((basis_file_has_alpha_slices) && (transcode_alpha_data_to_opaque_formats))
slice_index_to_decode++;
status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cATC_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to ATC_RGB failed\n");
}
break;
}
case transcoder_texture_format::cTFATC_RGBA:
{
#if !BASISD_SUPPORT_ATC
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: ATC unsupported\n");
return false;
#endif
#if !BASISD_SUPPORT_DXT5A
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: DXT5A unsupported\n");
return false;
#endif
assert(bytes_per_block_or_pixel == 16);
// First decode the alpha data
if (basis_file_has_alpha_slices)
{
status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
}
else
{
write_opaque_alpha_blocks(pSlice_descs[slice_index].m_num_blocks_x, pSlice_descs[slice_index].m_num_blocks_y, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
if (status)
{
status = transcode_slice(pData, data_size, slice_index, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cATC_RGB, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to ATC RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to ATC A failed\n");
}
break;
}
case transcoder_texture_format::cTFPVRTC2_4_RGB:
{
#if !BASISD_SUPPORT_PVRTC2
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: PVRTC2 unsupported\n");
return false;
#endif
uint32_t slice_index_to_decode = slice_index;
// If the caller wants us to transcode the mip level's alpha data, then use the next slice.
if ((basis_file_has_alpha_slices) && (transcode_alpha_data_to_opaque_formats))
slice_index_to_decode++;
status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC2_4_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to cPVRTC2_4_RGB failed\n");
}
break;
}
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
{
#if !BASISD_SUPPORT_PVRTC2
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: PVRTC2 unsupported\n");
return false;
#endif
if (basis_file_has_alpha_slices)
{
// First decode the alpha data to the output (we're using the output texture as a temp buffer here).
status = transcode_slice(pData, data_size, slice_index + 1, (uint8_t*)pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cIndices, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to failed\n");
}
else
{
// Now decode the color data and transcode to PVRTC2 RGBA.
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC2_4_RGBA, bytes_per_block_or_pixel, decode_flags | cDecodeFlagsOutputHasAlphaIndices, output_row_pitch_in_blocks_or_pixels, pState);
}
}
else
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC2_4_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to cPVRTC2_4_RGBA failed\n");
}
break;
}
case transcoder_texture_format::cTFRGBA32:
{
// Raw 32bpp pixels, decoded in the usual raster order (NOT block order) into an image in memory.
// First decode the alpha data
if (basis_file_has_alpha_slices)
status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cA32, sizeof(uint32_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
else
status = true;
if (status)
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, basis_file_has_alpha_slices ? block_format::cRGB32 : block_format::cRGBA32, sizeof(uint32_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to RGBA32 RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to RGBA32 A failed\n");
}
break;
}
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
{
// Raw 16bpp pixels, decoded in the usual raster order (NOT block order) into an image in memory.
uint32_t slice_index_to_decode = slice_index;
// If the caller wants us to transcode the mip level's alpha data, then use the next slice.
if ((basis_file_has_alpha_slices) && (transcode_alpha_data_to_opaque_formats))
slice_index_to_decode++;
status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, (fmt == transcoder_texture_format::cTFRGB565) ? block_format::cRGB565 : block_format::cBGR565, sizeof(uint16_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to RGB565 RGB failed\n");
}
break;
}
case transcoder_texture_format::cTFRGBA4444:
{
// Raw 16bpp pixels, decoded in the usual raster order (NOT block order) into an image in memory.
// First decode the alpha data
if (basis_file_has_alpha_slices)
status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cRGBA4444_ALPHA, sizeof(uint16_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
else
status = true;
if (status)
{
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, basis_file_has_alpha_slices ? block_format::cRGBA4444_COLOR : block_format::cRGBA4444_COLOR_OPAQUE, sizeof(uint16_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to RGBA4444 RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to RGBA4444 A failed\n");
}
break;
}
case transcoder_texture_format::cTFFXT1_RGB:
{
#if !BASISD_SUPPORT_FXT1
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: FXT1 unsupported\n");
return false;
#endif
uint32_t slice_index_to_decode = slice_index;
// If the caller wants us to transcode the mip level's alpha data, then use the next slice.
if ((basis_file_has_alpha_slices) && (transcode_alpha_data_to_opaque_formats))
slice_index_to_decode++;
status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cFXT1_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to FXT1_RGB failed\n");
}
break;
}
case transcoder_texture_format::cTFETC2_EAC_R11:
{
#if !BASISD_SUPPORT_ETC2_EAC_RG11
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: EAC_RG11 unsupported\n");
return false;
#endif
uint32_t slice_index_to_decode = slice_index;
// If the caller wants us to transcode the mip level's alpha data, then use the next slice.
if ((basis_file_has_alpha_slices) && (transcode_alpha_data_to_opaque_formats))
slice_index_to_decode++;
status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_R11, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to ETC2_EAC_R11 failed\n");
}
break;
}
case transcoder_texture_format::cTFETC2_EAC_RG11:
{
#if !BASISD_SUPPORT_ETC2_EAC_RG11
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: EAC_RG11 unsupported\n");
return false;
#endif
assert(bytes_per_block_or_pixel == 16);
if (basis_file_has_alpha_slices)
{
// First decode the alpha data to G
status = transcode_slice(pData, data_size, slice_index + 1, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_R11, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
}
else
{
write_opaque_alpha_blocks(pSlice_descs[slice_index].m_num_blocks_x, pSlice_descs[slice_index].m_num_blocks_y, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_R11, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
if (status)
{
// Now decode the color data to R
status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_R11, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to ETC2_EAC_R11 R failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: transcode_slice() to ETC2_EAC_R11 G failed\n");
}
break;
}
default:
{
assert(0);
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: Invalid fmt\n");
break;
}
}
} // if (pHeader->m_tex_format == (int)basis_tex_format::cUASTC4x4)
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: Returning false\n");
}
else
{
//BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: Returning true\n");
}
return status;
}
uint32_t basis_get_bytes_per_block_or_pixel(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFETC1_RGB:
case transcoder_texture_format::cTFBC1_RGB:
case transcoder_texture_format::cTFBC4_R:
case transcoder_texture_format::cTFPVRTC1_4_RGB:
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
case transcoder_texture_format::cTFATC_RGB:
case transcoder_texture_format::cTFPVRTC2_4_RGB:
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
case transcoder_texture_format::cTFETC2_EAC_R11:
return 8;
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
case transcoder_texture_format::cTFETC2_RGBA:
case transcoder_texture_format::cTFBC3_RGBA:
case transcoder_texture_format::cTFBC5_RG:
case transcoder_texture_format::cTFASTC_4x4_RGBA:
case transcoder_texture_format::cTFATC_RGBA:
case transcoder_texture_format::cTFFXT1_RGB:
case transcoder_texture_format::cTFETC2_EAC_RG11:
return 16;
case transcoder_texture_format::cTFRGBA32:
return sizeof(uint32_t);
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
case transcoder_texture_format::cTFRGBA4444:
return sizeof(uint16_t);
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_basisu_texture_format: Invalid fmt\n");
break;
}
return 0;
}
const char* basis_get_format_name(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFETC1_RGB: return "ETC1_RGB";
case transcoder_texture_format::cTFBC1_RGB: return "BC1_RGB";
case transcoder_texture_format::cTFBC4_R: return "BC4_R";
case transcoder_texture_format::cTFPVRTC1_4_RGB: return "PVRTC1_4_RGB";
case transcoder_texture_format::cTFPVRTC1_4_RGBA: return "PVRTC1_4_RGBA";
case transcoder_texture_format::cTFBC7_RGBA: return "BC7_RGBA";
case transcoder_texture_format::cTFBC7_ALT: return "BC7_RGBA";
case transcoder_texture_format::cTFETC2_RGBA: return "ETC2_RGBA";
case transcoder_texture_format::cTFBC3_RGBA: return "BC3_RGBA";
case transcoder_texture_format::cTFBC5_RG: return "BC5_RG";
case transcoder_texture_format::cTFASTC_4x4_RGBA: return "ASTC_RGBA";
case transcoder_texture_format::cTFATC_RGB: return "ATC_RGB";
case transcoder_texture_format::cTFATC_RGBA: return "ATC_RGBA";
case transcoder_texture_format::cTFRGBA32: return "RGBA32";
case transcoder_texture_format::cTFRGB565: return "RGB565";
case transcoder_texture_format::cTFBGR565: return "BGR565";
case transcoder_texture_format::cTFRGBA4444: return "RGBA4444";
case transcoder_texture_format::cTFFXT1_RGB: return "FXT1_RGB";
case transcoder_texture_format::cTFPVRTC2_4_RGB: return "PVRTC2_4_RGB";
case transcoder_texture_format::cTFPVRTC2_4_RGBA: return "PVRTC2_4_RGBA";
case transcoder_texture_format::cTFETC2_EAC_R11: return "ETC2_EAC_R11";
case transcoder_texture_format::cTFETC2_EAC_RG11: return "ETC2_EAC_RG11";
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_basisu_texture_format: Invalid fmt\n");
break;
}
return "";
}
const char* basis_get_texture_type_name(basis_texture_type tex_type)
{
switch (tex_type)
{
case cBASISTexType2D: return "2D";
case cBASISTexType2DArray: return "2D array";
case cBASISTexTypeCubemapArray: return "cubemap array";
case cBASISTexTypeVideoFrames: return "video";
case cBASISTexTypeVolume: return "3D";
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_texture_type_name: Invalid tex_type\n");
break;
}
return "";
}
bool basis_transcoder_format_has_alpha(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFETC2_RGBA:
case transcoder_texture_format::cTFBC3_RGBA:
case transcoder_texture_format::cTFASTC_4x4_RGBA:
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
case transcoder_texture_format::cTFATC_RGBA:
case transcoder_texture_format::cTFRGBA32:
case transcoder_texture_format::cTFRGBA4444:
return true;
default:
break;
}
return false;
}
basisu::texture_format basis_get_basisu_texture_format(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFETC1_RGB: return basisu::texture_format::cETC1;
case transcoder_texture_format::cTFBC1_RGB: return basisu::texture_format::cBC1;
case transcoder_texture_format::cTFBC4_R: return basisu::texture_format::cBC4;
case transcoder_texture_format::cTFPVRTC1_4_RGB: return basisu::texture_format::cPVRTC1_4_RGB;
case transcoder_texture_format::cTFPVRTC1_4_RGBA: return basisu::texture_format::cPVRTC1_4_RGBA;
case transcoder_texture_format::cTFBC7_RGBA: return basisu::texture_format::cBC7;
case transcoder_texture_format::cTFBC7_ALT: return basisu::texture_format::cBC7;
case transcoder_texture_format::cTFETC2_RGBA: return basisu::texture_format::cETC2_RGBA;
case transcoder_texture_format::cTFBC3_RGBA: return basisu::texture_format::cBC3;
case transcoder_texture_format::cTFBC5_RG: return basisu::texture_format::cBC5;
case transcoder_texture_format::cTFASTC_4x4_RGBA: return basisu::texture_format::cASTC4x4;
case transcoder_texture_format::cTFATC_RGB: return basisu::texture_format::cATC_RGB;
case transcoder_texture_format::cTFATC_RGBA: return basisu::texture_format::cATC_RGBA_INTERPOLATED_ALPHA;
case transcoder_texture_format::cTFRGBA32: return basisu::texture_format::cRGBA32;
case transcoder_texture_format::cTFRGB565: return basisu::texture_format::cRGB565;
case transcoder_texture_format::cTFBGR565: return basisu::texture_format::cBGR565;
case transcoder_texture_format::cTFRGBA4444: return basisu::texture_format::cRGBA4444;
case transcoder_texture_format::cTFFXT1_RGB: return basisu::texture_format::cFXT1_RGB;
case transcoder_texture_format::cTFPVRTC2_4_RGB: return basisu::texture_format::cPVRTC2_4_RGBA;
case transcoder_texture_format::cTFPVRTC2_4_RGBA: return basisu::texture_format::cPVRTC2_4_RGBA;
case transcoder_texture_format::cTFETC2_EAC_R11: return basisu::texture_format::cETC2_R11_EAC;
case transcoder_texture_format::cTFETC2_EAC_RG11: return basisu::texture_format::cETC2_RG11_EAC;
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_basisu_texture_format: Invalid fmt\n");
break;
}
return basisu::texture_format::cInvalidTextureFormat;
}
bool basis_transcoder_format_is_uncompressed(transcoder_texture_format tex_type)
{
switch (tex_type)
{
case transcoder_texture_format::cTFRGBA32:
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
case transcoder_texture_format::cTFRGBA4444:
return true;
default:
break;
}
return false;
}
bool basis_block_format_is_uncompressed(block_format blk_fmt)
{
switch (blk_fmt)
{
case block_format::cRGB32:
case block_format::cRGBA32:
case block_format::cA32:
case block_format::cRGB565:
case block_format::cBGR565:
case block_format::cRGBA4444:
case block_format::cRGBA4444_COLOR:
case block_format::cRGBA4444_ALPHA:
case block_format::cRGBA4444_COLOR_OPAQUE:
return true;
default:
break;
}
return false;
}
uint32_t basis_get_uncompressed_bytes_per_pixel(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFRGBA32:
return sizeof(uint32_t);
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
case transcoder_texture_format::cTFRGBA4444:
return sizeof(uint16_t);
default:
break;
}
return 0;
}
uint32_t basis_get_block_width(transcoder_texture_format tex_type)
{
switch (tex_type)
{
case transcoder_texture_format::cTFFXT1_RGB:
return 8;
default:
break;
}
return 4;
}
uint32_t basis_get_block_height(transcoder_texture_format tex_type)
{
BASISU_NOTE_UNUSED(tex_type);
return 4;
}
bool basis_is_format_supported(transcoder_texture_format tex_type, basis_tex_format fmt)
{
if (fmt == basis_tex_format::cUASTC4x4)
{
#if BASISD_SUPPORT_UASTC
switch (tex_type)
{
// These niche formats aren't currently supported for UASTC - everything else is.
case transcoder_texture_format::cTFPVRTC2_4_RGB:
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
case transcoder_texture_format::cTFATC_RGB:
case transcoder_texture_format::cTFATC_RGBA:
case transcoder_texture_format::cTFFXT1_RGB:
return false;
default:
return true;
}
#endif
}
else
{
switch (tex_type)
{
// ETC1 and uncompressed are always supported.
case transcoder_texture_format::cTFETC1_RGB:
case transcoder_texture_format::cTFRGBA32:
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
case transcoder_texture_format::cTFRGBA4444:
return true;
#if BASISD_SUPPORT_DXT1
case transcoder_texture_format::cTFBC1_RGB:
return true;
#endif
#if BASISD_SUPPORT_DXT5A
case transcoder_texture_format::cTFBC4_R:
case transcoder_texture_format::cTFBC5_RG:
return true;
#endif
#if BASISD_SUPPORT_DXT1 && BASISD_SUPPORT_DXT5A
case transcoder_texture_format::cTFBC3_RGBA:
return true;
#endif
#if BASISD_SUPPORT_PVRTC1
case transcoder_texture_format::cTFPVRTC1_4_RGB:
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
return true;
#endif
#if BASISD_SUPPORT_BC7_MODE5
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
return true;
#endif
#if BASISD_SUPPORT_ETC2_EAC_A8
case transcoder_texture_format::cTFETC2_RGBA:
return true;
#endif
#if BASISD_SUPPORT_ASTC
case transcoder_texture_format::cTFASTC_4x4_RGBA:
return true;
#endif
#if BASISD_SUPPORT_ATC
case transcoder_texture_format::cTFATC_RGB:
case transcoder_texture_format::cTFATC_RGBA:
return true;
#endif
#if BASISD_SUPPORT_FXT1
case transcoder_texture_format::cTFFXT1_RGB:
return true;
#endif
#if BASISD_SUPPORT_PVRTC2
case transcoder_texture_format::cTFPVRTC2_4_RGB:
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
return true;
#endif
#if BASISD_SUPPORT_ETC2_EAC_RG11
case transcoder_texture_format::cTFETC2_EAC_R11:
case transcoder_texture_format::cTFETC2_EAC_RG11:
return true;
#endif
default:
break;
}
}
return false;
}
// ------------------------------------------------------------------------------------------------------
// UASTC
// ------------------------------------------------------------------------------------------------------
#if BASISD_SUPPORT_UASTC
const astc_bc7_common_partition2_desc g_astc_bc7_common_partitions2[TOTAL_ASTC_BC7_COMMON_PARTITIONS2] =
{
{ 0, 28, false }, { 1, 20, false }, { 2, 16, true }, { 3, 29, false },
{ 4, 91, true }, { 5, 9, false }, { 6, 107, true }, { 7, 72, true },
{ 8, 149, false }, { 9, 204, true }, { 10, 50, false }, { 11, 114, true },
{ 12, 496, true }, { 13, 17, true }, { 14, 78, false }, { 15, 39, true },
{ 17, 252, true }, { 18, 828, true }, { 19, 43, false }, { 20, 156, false },
{ 21, 116, false }, { 22, 210, true }, { 23, 476, true }, { 24, 273, false },
{ 25, 684, true }, { 26, 359, false }, { 29, 246, true }, { 32, 195, true },
{ 33, 694, true }, { 52, 524, true }
};
const bc73_astc2_common_partition_desc g_bc7_3_astc2_common_partitions[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS] =
{
{ 10, 36, 4 }, { 11, 48, 4 }, { 0, 61, 3 }, { 2, 137, 4 },
{ 8, 161, 5 }, { 13, 183, 4 }, { 1, 226, 2 }, { 33, 281, 2 },
{ 40, 302, 3 }, { 20, 307, 4 }, { 21, 479, 0 }, { 58, 495, 3 },
{ 3, 593, 0 }, { 32, 594, 2 }, { 59, 605, 1 }, { 34, 799, 3 },
{ 20, 812, 1 }, { 14, 988, 4 }, { 31, 993, 3 }
};
const astc_bc7_common_partition3_desc g_astc_bc7_common_partitions3[TOTAL_ASTC_BC7_COMMON_PARTITIONS3] =
{
{ 4, 260, 0 }, { 8, 74, 5 }, { 9, 32, 5 }, { 10, 156, 2 },
{ 11, 183, 2 }, { 12, 15, 0 }, { 13, 745, 4 }, { 20, 0, 1 },
{ 35, 335, 1 }, { 36, 902, 5 }, { 57, 254, 0 }
};
const uint8_t g_astc_to_bc7_partition_index_perm_tables[6][3] = { { 0, 1, 2 }, { 1, 2, 0 }, { 2, 0, 1 }, { 2, 1, 0 }, { 0, 2, 1 }, { 1, 0, 2 } };
const uint8_t g_bc7_to_astc_partition_index_perm_tables[6][3] = { { 0, 1, 2 }, { 2, 0, 1 }, { 1, 2, 0 }, { 2, 1, 0 }, { 0, 2, 1 }, { 1, 0, 2 } };
uint32_t bc7_convert_partition_index_3_to_2(uint32_t p, uint32_t k)
{
assert(k < 6);
switch (k >> 1)
{
case 0:
if (p <= 1)
p = 0;
else
p = 1;
break;
case 1:
if (p == 0)
p = 0;
else
p = 1;
break;
case 2:
if ((p == 0) || (p == 2))
p = 0;
else
p = 1;
break;
}
if (k & 1)
p = 1 - p;
return p;
}
static const uint8_t g_zero_pattern[16] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 };
const uint8_t g_astc_bc7_patterns2[TOTAL_ASTC_BC7_COMMON_PARTITIONS2][16] =
{
{ 0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1 }, { 0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1 }, { 1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0 }, { 0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,1 },
{ 1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0 }, { 0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1 }, { 1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0 }, { 1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0 },
{ 0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1 }, { 1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1 }, { 1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0 },
{ 1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0 }, { 1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0 }, { 0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1 }, { 1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0 },
{ 1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1 }, { 1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1 }, { 0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0 }, { 0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0 },
{ 0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0 }, { 1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1 }, { 1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0 }, { 0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0 },
{ 1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1 }, { 0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0 }, { 1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1 }, { 1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0 },
{ 1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0 }, { 1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0 }
};
const uint8_t g_astc_bc7_patterns3[TOTAL_ASTC_BC7_COMMON_PARTITIONS3][16] =
{
{ 0,0,0,0,0,0,0,0,1,1,2,2,1,1,2,2 }, { 1,1,1,1,1,1,1,1,0,0,0,0,2,2,2,2 }, { 1,1,1,1,0,0,0,0,0,0,0,0,2,2,2,2 }, { 1,1,1,1,2,2,2,2,0,0,0,0,0,0,0,0 },
{ 1,1,2,0,1,1,2,0,1,1,2,0,1,1,2,0 }, { 0,1,1,2,0,1,1,2,0,1,1,2,0,1,1,2 }, { 0,2,1,1,0,2,1,1,0,2,1,1,0,2,1,1 }, { 2,0,0,0,2,0,0,0,2,1,1,1,2,1,1,1 },
{ 2,0,1,2,2,0,1,2,2,0,1,2,2,0,1,2 }, { 1,1,1,1,0,0,0,0,2,2,2,2,1,1,1,1 }, { 0,0,2,2,0,0,1,1,0,0,1,1,0,0,2,2 }
};
const uint8_t g_bc7_3_astc2_patterns2[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS][16] =
{
{ 0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0 }, { 0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0 }, { 1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1 },
{ 1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,1 }, { 0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0 }, { 0,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1 }, { 0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1 },
{ 1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0 }, { 0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0 }, { 1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0 },
{ 0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1 }, { 1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0 }, { 1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0 },
{ 1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0 }, { 0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0 }, { 1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0 }
};
const uint8_t g_astc_bc7_pattern2_anchors[TOTAL_ASTC_BC7_COMMON_PARTITIONS2][3] =
{
{ 0, 2 }, { 0, 3 }, { 1, 0 }, { 0, 3 }, { 7, 0 }, { 0, 2 }, { 3, 0 }, { 7, 0 },
{ 0, 11 }, { 2, 0 }, { 0, 7 }, { 11, 0 }, { 3, 0 }, { 8, 0 }, { 0, 4 }, { 12, 0 },
{ 1, 0 }, { 8, 0 }, { 0, 1 }, { 0, 2 }, { 0, 4 }, { 8, 0 }, { 1, 0 }, { 0, 2 },
{ 4, 0 }, { 0, 1 }, { 4, 0 }, { 1, 0 }, { 4, 0 }, { 1, 0 }
};
const uint8_t g_astc_bc7_pattern3_anchors[TOTAL_ASTC_BC7_COMMON_PARTITIONS3][3] =
{
{ 0, 8, 10 }, { 8, 0, 12 }, { 4, 0, 12 }, { 8, 0, 4 }, { 3, 0, 2 }, { 0, 1, 3 }, { 0, 2, 1 }, { 1, 9, 0 }, { 1, 2, 0 }, { 4, 0, 8 }, { 0, 6, 2 }
};
const uint8_t g_bc7_3_astc2_patterns2_anchors[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS][3] =
{
{ 0, 4 }, { 0, 2 }, { 2, 0 }, { 0, 7 }, { 8, 0 }, { 0, 1 }, { 0, 3 }, { 0, 1 }, { 2, 0 }, { 0, 1 }, { 0, 8 }, { 2, 0 }, { 0, 1 }, { 0, 7 }, { 12, 0 }, { 2, 0 }, { 9, 0 }, { 0, 2 }, { 4, 0 }
};
const uint32_t g_uastc_mode_huff_codes[TOTAL_UASTC_MODES + 1][2] =
{
{ 0x1, 4 },
{ 0x35, 6 },
{ 0x1D, 5 },
{ 0x3, 5 },
{ 0x13, 5 },
{ 0xB, 5 },
{ 0x1B, 5 },
{ 0x7, 5 },
{ 0x17, 5 },
{ 0xF, 5 },
{ 0x2, 3 },
{ 0x0, 2 },
{ 0x6, 3 },
{ 0x1F, 5 },
{ 0xD, 5 },
{ 0x5, 7 },
{ 0x15, 6 },
{ 0x25, 6 },
{ 0x9, 4 },
{ 0x45, 7 } // future expansion
};
// If g_uastc_mode_huff_codes[] changes this table must be updated!
static const uint8_t g_uastc_huff_modes[128] =
{
11,0,10,3,11,15,12,7,11,18,10,5,11,14,12,9,11,0,10,4,11,16,12,8,11,18,10,6,11,2,12,13,11,0,10,3,11,17,12,7,11,18,10,5,11,14,12,9,11,0,10,4,11,1,12,8,11,18,10,6,11,2,12,13,11,0,10,3,11,
19,12,7,11,18,10,5,11,14,12,9,11,0,10,4,11,16,12,8,11,18,10,6,11,2,12,13,11,0,10,3,11,17,12,7,11,18,10,5,11,14,12,9,11,0,10,4,11,1,12,8,11,18,10,6,11,2,12,13
};
const uint8_t g_uastc_mode_weight_bits[TOTAL_UASTC_MODES] = { 4, 2, 3, 2, 2, 3, 2, 2, 0, 2, 4, 2, 3, 1, 2, 4, 2, 2, 5 };
const uint8_t g_uastc_mode_weight_ranges[TOTAL_UASTC_MODES] = { 8, 2, 5, 2, 2, 5, 2, 2, 0, 2, 8, 2, 5, 0, 2, 8, 2, 2, 11 };
const uint8_t g_uastc_mode_endpoint_ranges[TOTAL_UASTC_MODES] = { 19, 20, 8, 7, 12, 20, 18, 12, 0, 8, 13, 13, 19, 20, 20, 20, 20, 20, 11 };
const uint8_t g_uastc_mode_subsets[TOTAL_UASTC_MODES] = { 1, 1, 2, 3, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1 };
const uint8_t g_uastc_mode_planes[TOTAL_UASTC_MODES] = { 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1 };
const uint8_t g_uastc_mode_comps[TOTAL_UASTC_MODES] = { 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3 };
const uint8_t g_uastc_mode_has_etc1_bias[TOTAL_UASTC_MODES] = { 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1 };
const uint8_t g_uastc_mode_has_bc1_hint0[TOTAL_UASTC_MODES] = { 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 };
const uint8_t g_uastc_mode_has_bc1_hint1[TOTAL_UASTC_MODES] = { 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1 };
const uint8_t g_uastc_mode_cem[TOTAL_UASTC_MODES] = { 8, 8, 8, 8, 8, 8, 8, 8, 0, 12, 12, 12, 12, 12, 12, 4, 4, 4, 8 };
const uint8_t g_uastc_mode_has_alpha[TOTAL_UASTC_MODES] = { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 };
const uint8_t g_uastc_mode_is_la[TOTAL_UASTC_MODES] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 };
const uint8_t g_uastc_mode_total_hint_bits[TOTAL_UASTC_MODES] = { 15, 15, 15, 15, 15, 15, 15, 15, 0, 23, 17, 17, 17, 23, 23, 23, 23, 23, 15 };
// bits, trits, quints
const int g_astc_bise_range_table[TOTAL_ASTC_RANGES][3] =
{
{ 1, 0, 0 }, // 0-1 0
{ 0, 1, 0 }, // 0-2 1
{ 2, 0, 0 }, // 0-3 2
{ 0, 0, 1 }, // 0-4 3
{ 1, 1, 0 }, // 0-5 4
{ 3, 0, 0 }, // 0-7 5
{ 1, 0, 1 }, // 0-9 6
{ 2, 1, 0 }, // 0-11 7
{ 4, 0, 0 }, // 0-15 8
{ 2, 0, 1 }, // 0-19 9
{ 3, 1, 0 }, // 0-23 10
{ 5, 0, 0 }, // 0-31 11
{ 3, 0, 1 }, // 0-39 12
{ 4, 1, 0 }, // 0-47 13
{ 6, 0, 0 }, // 0-63 14
{ 4, 0, 1 }, // 0-79 15
{ 5, 1, 0 }, // 0-95 16
{ 7, 0, 0 }, // 0-127 17
{ 5, 0, 1 }, // 0-159 18
{ 6, 1, 0 }, // 0-191 19
{ 8, 0, 0 }, // 0-255 20
};
int astc_get_levels(int range)
{
assert(range < (int)BC7ENC_TOTAL_ASTC_RANGES);
return (1 + 2 * g_astc_bise_range_table[range][1] + 4 * g_astc_bise_range_table[range][2]) << g_astc_bise_range_table[range][0];
}
// g_astc_unquant[] is the inverse of g_astc_sorted_order_unquant[]
astc_quant_bin g_astc_unquant[BC7ENC_TOTAL_ASTC_RANGES][256]; // [ASTC encoded endpoint index]
// Taken right from the ASTC spec.
static struct
{
const char* m_pB_str;
uint32_t m_c;
} g_astc_endpoint_unquant_params[BC7ENC_TOTAL_ASTC_RANGES] =
{
{ "", 0 },
{ "", 0 },
{ "", 0 },
{ "", 0 },
{ "000000000", 204, }, // 0-5
{ "", 0 },
{ "000000000", 113, }, // 0-9
{ "b000b0bb0", 93 }, // 0-11
{ "", 0 },
{ "b0000bb00", 54 }, // 0-19
{ "cb000cbcb", 44 }, // 0-23
{ "", 0 },
{ "cb0000cbc", 26 }, // 0-39
{ "dcb000dcb", 22 }, // 0-47
{ "", 0 },
{ "dcb0000dc", 13 }, // 0-79
{ "edcb000ed", 11 }, // 0-95
{ "", 0 },
{ "edcb0000e", 6 }, // 0-159
{ "fedcb000f", 5 }, // 0-191
{ "", 0 },
};
bool astc_is_valid_endpoint_range(uint32_t range)
{
if ((g_astc_bise_range_table[range][1] == 0) && (g_astc_bise_range_table[range][2] == 0))
return true;
return g_astc_endpoint_unquant_params[range].m_c != 0;
}
uint32_t unquant_astc_endpoint(uint32_t packed_bits, uint32_t packed_trits, uint32_t packed_quints, uint32_t range)
{
assert(range < BC7ENC_TOTAL_ASTC_RANGES);
const uint32_t bits = g_astc_bise_range_table[range][0];
const uint32_t trits = g_astc_bise_range_table[range][1];
const uint32_t quints = g_astc_bise_range_table[range][2];
uint32_t val = 0;
if ((!trits) && (!quints))
{
assert(!packed_trits && !packed_quints);
int bits_left = 8;
while (bits_left > 0)
{
uint32_t v = packed_bits;
int n = basisu::minimumi(bits_left, bits);
if (n < (int)bits)
v >>= (bits - n);
assert(v < (1U << n));
val |= (v << (bits_left - n));
bits_left -= n;
}
}
else
{
const uint32_t A = (packed_bits & 1) ? 511 : 0;
const uint32_t C = g_astc_endpoint_unquant_params[range].m_c;
const uint32_t D = trits ? packed_trits : packed_quints;
assert(C);
uint32_t B = 0;
for (uint32_t i = 0; i < 9; i++)
{
B <<= 1;
char c = g_astc_endpoint_unquant_params[range].m_pB_str[i];
if (c != '0')
{
c -= 'a';
B |= ((packed_bits >> c) & 1);
}
}
val = D * C + B;
val = val ^ A;
val = (A & 0x80) | (val >> 2);
}
return val;
}
uint32_t unquant_astc_endpoint_val(uint32_t packed_val, uint32_t range)
{
assert(range < BC7ENC_TOTAL_ASTC_RANGES);
assert(packed_val < (uint32_t)astc_get_levels(range));
const uint32_t bits = g_astc_bise_range_table[range][0];
const uint32_t trits = g_astc_bise_range_table[range][1];
const uint32_t quints = g_astc_bise_range_table[range][2];
if ((!trits) && (!quints))
return unquant_astc_endpoint(packed_val, 0, 0, range);
else if (trits)
return unquant_astc_endpoint(packed_val & ((1 << bits) - 1), packed_val >> bits, 0, range);
else
return unquant_astc_endpoint(packed_val & ((1 << bits) - 1), 0, packed_val >> bits, range);
}
// BC7 - Various BC7 tables/helpers
const uint32_t g_bc7_weights1[2] = { 0, 64 };
const uint32_t g_bc7_weights2[4] = { 0, 21, 43, 64 };
const uint32_t g_bc7_weights3[8] = { 0, 9, 18, 27, 37, 46, 55, 64 };
const uint32_t g_bc7_weights4[16] = { 0, 4, 9, 13, 17, 21, 26, 30, 34, 38, 43, 47, 51, 55, 60, 64 };
const uint32_t g_astc_weights4[16] = { 0, 4, 8, 12, 17, 21, 25, 29, 35, 39, 43, 47, 52, 56, 60, 64 };
const uint32_t g_astc_weights5[32] = { 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64 };
const uint32_t g_astc_weights_3levels[3] = { 0, 32, 64 };
const uint8_t g_bc7_partition1[16] = { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 };
const uint8_t g_bc7_partition2[64 * 16] =
{
0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1, 0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1, 0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1, 0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,1, 0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1, 0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1, 0,0,0,1,0,0,1,1,0,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1, 0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1, 0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1, 0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,
0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,1, 0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0, 0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0, 0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0, 0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0, 0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0, 0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,
0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0, 0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0, 0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0, 0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0, 0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0, 0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0, 0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0, 0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,
0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1, 0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1, 0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0, 0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0, 0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0, 0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0, 0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1, 0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,
0,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0, 0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0, 0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0, 0,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0, 0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0, 0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1, 0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1, 0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,
0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0, 0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0, 0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0, 0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0, 0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1, 0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1, 0,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0, 0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,
0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1, 0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1, 0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1, 0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,1, 0,0,0,0,1,1,1,1,0,0,1,1,0,0,1,1, 0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0, 0,0,1,0,0,0,1,0,1,1,1,0,1,1,1,0, 0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,1
};
const uint8_t g_bc7_partition3[64 * 16] =
{
0,0,1,1,0,0,1,1,0,2,2,1,2,2,2,2, 0,0,0,1,0,0,1,1,2,2,1,1,2,2,2,1, 0,0,0,0,2,0,0,1,2,2,1,1,2,2,1,1, 0,2,2,2,0,0,2,2,0,0,1,1,0,1,1,1, 0,0,0,0,0,0,0,0,1,1,2,2,1,1,2,2, 0,0,1,1,0,0,1,1,0,0,2,2,0,0,2,2, 0,0,2,2,0,0,2,2,1,1,1,1,1,1,1,1, 0,0,1,1,0,0,1,1,2,2,1,1,2,2,1,1,
0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2, 0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2, 0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2, 0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2, 0,1,1,2,0,1,1,2,0,1,1,2,0,1,1,2, 0,1,2,2,0,1,2,2,0,1,2,2,0,1,2,2, 0,0,1,1,0,1,1,2,1,1,2,2,1,2,2,2, 0,0,1,1,2,0,0,1,2,2,0,0,2,2,2,0,
0,0,0,1,0,0,1,1,0,1,1,2,1,1,2,2, 0,1,1,1,0,0,1,1,2,0,0,1,2,2,0,0, 0,0,0,0,1,1,2,2,1,1,2,2,1,1,2,2, 0,0,2,2,0,0,2,2,0,0,2,2,1,1,1,1, 0,1,1,1,0,1,1,1,0,2,2,2,0,2,2,2, 0,0,0,1,0,0,0,1,2,2,2,1,2,2,2,1, 0,0,0,0,0,0,1,1,0,1,2,2,0,1,2,2, 0,0,0,0,1,1,0,0,2,2,1,0,2,2,1,0,
0,1,2,2,0,1,2,2,0,0,1,1,0,0,0,0, 0,0,1,2,0,0,1,2,1,1,2,2,2,2,2,2, 0,1,1,0,1,2,2,1,1,2,2,1,0,1,1,0, 0,0,0,0,0,1,1,0,1,2,2,1,1,2,2,1, 0,0,2,2,1,1,0,2,1,1,0,2,0,0,2,2, 0,1,1,0,0,1,1,0,2,0,0,2,2,2,2,2, 0,0,1,1,0,1,2,2,0,1,2,2,0,0,1,1, 0,0,0,0,2,0,0,0,2,2,1,1,2,2,2,1,
0,0,0,0,0,0,0,2,1,1,2,2,1,2,2,2, 0,2,2,2,0,0,2,2,0,0,1,2,0,0,1,1, 0,0,1,1,0,0,1,2,0,0,2,2,0,2,2,2, 0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0, 0,0,0,0,1,1,1,1,2,2,2,2,0,0,0,0, 0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0, 0,1,2,0,2,0,1,2,1,2,0,1,0,1,2,0, 0,0,1,1,2,2,0,0,1,1,2,2,0,0,1,1,
0,0,1,1,1,1,2,2,2,2,0,0,0,0,1,1, 0,1,0,1,0,1,0,1,2,2,2,2,2,2,2,2, 0,0,0,0,0,0,0,0,2,1,2,1,2,1,2,1, 0,0,2,2,1,1,2,2,0,0,2,2,1,1,2,2, 0,0,2,2,0,0,1,1,0,0,2,2,0,0,1,1, 0,2,2,0,1,2,2,1,0,2,2,0,1,2,2,1, 0,1,0,1,2,2,2,2,2,2,2,2,0,1,0,1, 0,0,0,0,2,1,2,1,2,1,2,1,2,1,2,1,
0,1,0,1,0,1,0,1,0,1,0,1,2,2,2,2, 0,2,2,2,0,1,1,1,0,2,2,2,0,1,1,1, 0,0,0,2,1,1,1,2,0,0,0,2,1,1,1,2, 0,0,0,0,2,1,1,2,2,1,1,2,2,1,1,2, 0,2,2,2,0,1,1,1,0,1,1,1,0,2,2,2, 0,0,0,2,1,1,1,2,1,1,1,2,0,0,0,2, 0,1,1,0,0,1,1,0,0,1,1,0,2,2,2,2, 0,0,0,0,0,0,0,0,2,1,1,2,2,1,1,2,
0,1,1,0,0,1,1,0,2,2,2,2,2,2,2,2, 0,0,2,2,0,0,1,1,0,0,1,1,0,0,2,2, 0,0,2,2,1,1,2,2,1,1,2,2,0,0,2,2, 0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2, 0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,1, 0,2,2,2,1,2,2,2,0,2,2,2,1,2,2,2, 0,1,0,1,2,2,2,2,2,2,2,2,2,2,2,2, 0,1,1,1,2,0,1,1,2,2,0,1,2,2,2,0,
};
const uint8_t g_bc7_table_anchor_index_second_subset[64] = { 15,15,15,15,15,15,15,15, 15,15,15,15,15,15,15,15, 15, 2, 8, 2, 2, 8, 8,15, 2, 8, 2, 2, 8, 8, 2, 2, 15,15, 6, 8, 2, 8,15,15, 2, 8, 2, 2, 2,15,15, 6, 6, 2, 6, 8,15,15, 2, 2, 15,15,15,15,15, 2, 2,15 };
const uint8_t g_bc7_table_anchor_index_third_subset_1[64] =
{
3, 3,15,15, 8, 3,15,15, 8, 8, 6, 6, 6, 5, 3, 3, 3, 3, 8,15, 3, 3, 6,10, 5, 8, 8, 6, 8, 5,15,15, 8,15, 3, 5, 6,10, 8,15, 15, 3,15, 5,15,15,15,15, 3,15, 5, 5, 5, 8, 5,10, 5,10, 8,13,15,12, 3, 3
};
const uint8_t g_bc7_table_anchor_index_third_subset_2[64] =
{
15, 8, 8, 3,15,15, 3, 8, 15,15,15,15,15,15,15, 8, 15, 8,15, 3,15, 8,15, 8, 3,15, 6,10,15,15,10, 8, 15, 3,15,10,10, 8, 9,10, 6,15, 8,15, 3, 6, 6, 8, 15, 3,15,15,15,15,15,15, 15,15,15,15, 3,15,15, 8
};
const uint8_t g_bc7_num_subsets[8] = { 3, 2, 3, 2, 1, 1, 1, 2 };
const uint8_t g_bc7_partition_bits[8] = { 4, 6, 6, 6, 0, 0, 0, 6 };
const uint8_t g_bc7_color_index_bitcount[8] = { 3, 3, 2, 2, 2, 2, 4, 2 };
const uint8_t g_bc7_mode_has_p_bits[8] = { 1, 1, 0, 1, 0, 0, 1, 1 };
const uint8_t g_bc7_mode_has_shared_p_bits[8] = { 0, 1, 0, 0, 0, 0, 0, 0 };
const uint8_t g_bc7_color_precision_table[8] = { 4, 6, 5, 7, 5, 7, 7, 5 };
const int8_t g_bc7_alpha_precision_table[8] = { 0, 0, 0, 0, 6, 8, 7, 5 };
const uint8_t g_bc7_alpha_index_bitcount[8] = { 0, 0, 0, 0, 3, 2, 4, 2 };
endpoint_err g_bc7_mode_6_optimal_endpoints[256][2]; // [c][pbit]
endpoint_err g_bc7_mode_5_optimal_endpoints[256]; // [c]
static inline void bc7_set_block_bits(uint8_t* pBytes, uint32_t val, uint32_t num_bits, uint32_t* pCur_ofs)
{
assert((num_bits <= 32) && (val < (1ULL << num_bits)));
while (num_bits)
{
const uint32_t n = basisu::minimumu(8 - (*pCur_ofs & 7), num_bits);
pBytes[*pCur_ofs >> 3] |= (uint8_t)(val << (*pCur_ofs & 7));
val >>= n;
num_bits -= n;
*pCur_ofs += n;
}
assert(*pCur_ofs <= 128);
}
// TODO: Optimize this.
void encode_bc7_block(void* pBlock, const bc7_optimization_results* pResults)
{
const uint32_t best_mode = pResults->m_mode;
const uint32_t total_subsets = g_bc7_num_subsets[best_mode];
const uint32_t total_partitions = 1 << g_bc7_partition_bits[best_mode];
//const uint32_t num_rotations = 1 << g_bc7_rotation_bits[best_mode];
//const uint32_t num_index_selectors = (best_mode == 4) ? 2 : 1;
const uint8_t* pPartition;
if (total_subsets == 1)
pPartition = &g_bc7_partition1[0];
else if (total_subsets == 2)
pPartition = &g_bc7_partition2[pResults->m_partition * 16];
else
pPartition = &g_bc7_partition3[pResults->m_partition * 16];
uint8_t color_selectors[16];
memcpy(color_selectors, pResults->m_selectors, 16);
uint8_t alpha_selectors[16];
memcpy(alpha_selectors, pResults->m_alpha_selectors, 16);
color_quad_u8 low[3], high[3];
memcpy(low, pResults->m_low, sizeof(low));
memcpy(high, pResults->m_high, sizeof(high));
uint32_t pbits[3][2];
memcpy(pbits, pResults->m_pbits, sizeof(pbits));
int anchor[3] = { -1, -1, -1 };
for (uint32_t k = 0; k < total_subsets; k++)
{
uint32_t anchor_index = 0;
if (k)
{
if ((total_subsets == 3) && (k == 1))
anchor_index = g_bc7_table_anchor_index_third_subset_1[pResults->m_partition];
else if ((total_subsets == 3) && (k == 2))
anchor_index = g_bc7_table_anchor_index_third_subset_2[pResults->m_partition];
else
anchor_index = g_bc7_table_anchor_index_second_subset[pResults->m_partition];
}
anchor[k] = anchor_index;
const uint32_t color_index_bits = get_bc7_color_index_size(best_mode, pResults->m_index_selector);
const uint32_t num_color_indices = 1 << color_index_bits;
if (color_selectors[anchor_index] & (num_color_indices >> 1))
{
for (uint32_t i = 0; i < 16; i++)
if (pPartition[i] == k)
color_selectors[i] = (uint8_t)((num_color_indices - 1) - color_selectors[i]);
if (get_bc7_mode_has_seperate_alpha_selectors(best_mode))
{
for (uint32_t q = 0; q < 3; q++)
{
uint8_t t = low[k].m_c[q];
low[k].m_c[q] = high[k].m_c[q];
high[k].m_c[q] = t;
}
}
else
{
color_quad_u8 tmp = low[k];
low[k] = high[k];
high[k] = tmp;
}
if (!g_bc7_mode_has_shared_p_bits[best_mode])
{
uint32_t t = pbits[k][0];
pbits[k][0] = pbits[k][1];
pbits[k][1] = t;
}
}
if (get_bc7_mode_has_seperate_alpha_selectors(best_mode))
{
const uint32_t alpha_index_bits = get_bc7_alpha_index_size(best_mode, pResults->m_index_selector);
const uint32_t num_alpha_indices = 1 << alpha_index_bits;
if (alpha_selectors[anchor_index] & (num_alpha_indices >> 1))
{
for (uint32_t i = 0; i < 16; i++)
if (pPartition[i] == k)
alpha_selectors[i] = (uint8_t)((num_alpha_indices - 1) - alpha_selectors[i]);
uint8_t t = low[k].m_c[3];
low[k].m_c[3] = high[k].m_c[3];
high[k].m_c[3] = t;
}
}
}
uint8_t* pBlock_bytes = (uint8_t*)(pBlock);
memset(pBlock_bytes, 0, BC7ENC_BLOCK_SIZE);
uint32_t cur_bit_ofs = 0;
bc7_set_block_bits(pBlock_bytes, 1 << best_mode, best_mode + 1, &cur_bit_ofs);
if ((best_mode == 4) || (best_mode == 5))
bc7_set_block_bits(pBlock_bytes, pResults->m_rotation, 2, &cur_bit_ofs);
if (best_mode == 4)
bc7_set_block_bits(pBlock_bytes, pResults->m_index_selector, 1, &cur_bit_ofs);
if (total_partitions > 1)
bc7_set_block_bits(pBlock_bytes, pResults->m_partition, (total_partitions == 64) ? 6 : 4, &cur_bit_ofs);
const uint32_t total_comps = (best_mode >= 4) ? 4 : 3;
for (uint32_t comp = 0; comp < total_comps; comp++)
{
for (uint32_t subset = 0; subset < total_subsets; subset++)
{
bc7_set_block_bits(pBlock_bytes, low[subset].m_c[comp], (comp == 3) ? g_bc7_alpha_precision_table[best_mode] : g_bc7_color_precision_table[best_mode], &cur_bit_ofs);
bc7_set_block_bits(pBlock_bytes, high[subset].m_c[comp], (comp == 3) ? g_bc7_alpha_precision_table[best_mode] : g_bc7_color_precision_table[best_mode], &cur_bit_ofs);
}
}
if (g_bc7_mode_has_p_bits[best_mode])
{
for (uint32_t subset = 0; subset < total_subsets; subset++)
{
bc7_set_block_bits(pBlock_bytes, pbits[subset][0], 1, &cur_bit_ofs);
if (!g_bc7_mode_has_shared_p_bits[best_mode])
bc7_set_block_bits(pBlock_bytes, pbits[subset][1], 1, &cur_bit_ofs);
}
}
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
int idx = x + y * 4;
uint32_t n = pResults->m_index_selector ? get_bc7_alpha_index_size(best_mode, pResults->m_index_selector) : get_bc7_color_index_size(best_mode, pResults->m_index_selector);
if ((idx == anchor[0]) || (idx == anchor[1]) || (idx == anchor[2]))
n--;
bc7_set_block_bits(pBlock_bytes, pResults->m_index_selector ? alpha_selectors[idx] : color_selectors[idx], n, &cur_bit_ofs);
}
}
if (get_bc7_mode_has_seperate_alpha_selectors(best_mode))
{
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
int idx = x + y * 4;
uint32_t n = pResults->m_index_selector ? get_bc7_color_index_size(best_mode, pResults->m_index_selector) : get_bc7_alpha_index_size(best_mode, pResults->m_index_selector);
if ((idx == anchor[0]) || (idx == anchor[1]) || (idx == anchor[2]))
n--;
bc7_set_block_bits(pBlock_bytes, pResults->m_index_selector ? color_selectors[idx] : alpha_selectors[idx], n, &cur_bit_ofs);
}
}
}
assert(cur_bit_ofs == 128);
}
// ASTC
static inline void astc_set_bits_1_to_9(uint32_t* pDst, int& bit_offset, uint32_t code, uint32_t codesize)
{
uint8_t* pBuf = reinterpret_cast<uint8_t*>(pDst);
assert(codesize <= 9);
if (codesize)
{
uint32_t byte_bit_offset = bit_offset & 7;
uint32_t val = code << byte_bit_offset;
uint32_t index = bit_offset >> 3;
pBuf[index] |= (uint8_t)val;
if (codesize > (8 - byte_bit_offset))
pBuf[index + 1] |= (uint8_t)(val >> 8);
bit_offset += codesize;
}
}
void pack_astc_solid_block(void* pDst_block, const color32& color)
{
uint32_t r = color[0], g = color[1], b = color[2];
uint32_t a = color[3];
uint32_t* pOutput = static_cast<uint32_t*>(pDst_block);
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pDst_block);
pBytes[0] = 0xfc; pBytes[1] = 0xfd; pBytes[2] = 0xff; pBytes[3] = 0xff;
pOutput[1] = 0xffffffff;
pOutput[2] = 0;
pOutput[3] = 0;
int bit_pos = 64;
astc_set_bits(reinterpret_cast<uint32_t*>(pDst_block), bit_pos, r | (r << 8), 16);
astc_set_bits(reinterpret_cast<uint32_t*>(pDst_block), bit_pos, g | (g << 8), 16);
astc_set_bits(reinterpret_cast<uint32_t*>(pDst_block), bit_pos, b | (b << 8), 16);
astc_set_bits(reinterpret_cast<uint32_t*>(pDst_block), bit_pos, a | (a << 8), 16);
}
// See 23.21 https://www.khronos.org/registry/DataFormat/specs/1.3/dataformat.1.3.inline.html#_partition_pattern_generation
#ifdef _DEBUG
static inline uint32_t astc_hash52(uint32_t v)
{
uint32_t p = v;
p ^= p >> 15; p -= p << 17; p += p << 7; p += p << 4;
p ^= p >> 5; p += p << 16; p ^= p >> 7; p ^= p >> 3;
p ^= p << 6; p ^= p >> 17;
return p;
}
int astc_compute_texel_partition(int seed, int x, int y, int z, int partitioncount, bool small_block)
{
if (small_block)
{
x <<= 1; y <<= 1; z <<= 1;
}
seed += (partitioncount - 1) * 1024;
uint32_t rnum = astc_hash52(seed);
uint8_t seed1 = rnum & 0xF;
uint8_t seed2 = (rnum >> 4) & 0xF;
uint8_t seed3 = (rnum >> 8) & 0xF;
uint8_t seed4 = (rnum >> 12) & 0xF;
uint8_t seed5 = (rnum >> 16) & 0xF;
uint8_t seed6 = (rnum >> 20) & 0xF;
uint8_t seed7 = (rnum >> 24) & 0xF;
uint8_t seed8 = (rnum >> 28) & 0xF;
uint8_t seed9 = (rnum >> 18) & 0xF;
uint8_t seed10 = (rnum >> 22) & 0xF;
uint8_t seed11 = (rnum >> 26) & 0xF;
uint8_t seed12 = ((rnum >> 30) | (rnum << 2)) & 0xF;
seed1 *= seed1; seed2 *= seed2;
seed3 *= seed3; seed4 *= seed4;
seed5 *= seed5; seed6 *= seed6;
seed7 *= seed7; seed8 *= seed8;
seed9 *= seed9; seed10 *= seed10;
seed11 *= seed11; seed12 *= seed12;
int sh1, sh2, sh3;
if (seed & 1)
{
sh1 = (seed & 2 ? 4 : 5); sh2 = (partitioncount == 3 ? 6 : 5);
}
else
{
sh1 = (partitioncount == 3 ? 6 : 5); sh2 = (seed & 2 ? 4 : 5);
}
sh3 = (seed & 0x10) ? sh1 : sh2;
seed1 >>= sh1; seed2 >>= sh2; seed3 >>= sh1; seed4 >>= sh2;
seed5 >>= sh1; seed6 >>= sh2; seed7 >>= sh1; seed8 >>= sh2;
seed9 >>= sh3; seed10 >>= sh3; seed11 >>= sh3; seed12 >>= sh3;
int a = seed1 * x + seed2 * y + seed11 * z + (rnum >> 14);
int b = seed3 * x + seed4 * y + seed12 * z + (rnum >> 10);
int c = seed5 * x + seed6 * y + seed9 * z + (rnum >> 6);
int d = seed7 * x + seed8 * y + seed10 * z + (rnum >> 2);
a &= 0x3F; b &= 0x3F; c &= 0x3F; d &= 0x3F;
if (partitioncount < 4) d = 0;
if (partitioncount < 3) c = 0;
if (a >= b && a >= c && a >= d)
return 0;
else if (b >= c && b >= d)
return 1;
else if (c >= d)
return 2;
else
return 3;
}
#endif
static const uint8_t g_astc_quint_encode[125] =
{
0, 1, 2, 3, 4, 8, 9, 10, 11, 12, 16, 17, 18, 19, 20, 24, 25, 26, 27, 28, 5, 13, 21, 29, 6, 32, 33, 34, 35, 36, 40, 41, 42, 43, 44, 48, 49, 50, 51, 52, 56, 57,
58, 59, 60, 37, 45, 53, 61, 14, 64, 65, 66, 67, 68, 72, 73, 74, 75, 76, 80, 81, 82, 83, 84, 88, 89, 90, 91, 92, 69, 77, 85, 93, 22, 96, 97, 98, 99, 100, 104,
105, 106, 107, 108, 112, 113, 114, 115, 116, 120, 121, 122, 123, 124, 101, 109, 117, 125, 30, 102, 103, 70, 71, 38, 110, 111, 78, 79, 46, 118, 119, 86, 87, 54,
126, 127, 94, 95, 62, 39, 47, 55, 63, 31
};
// Encodes 3 values to output, usable for any range that uses quints and bits
static inline void astc_encode_quints(uint32_t* pOutput, const uint8_t* pValues, int& bit_pos, int n)
{
// First extract the trits and the bits from the 5 input values
int quints = 0, bits[3];
const uint32_t bit_mask = (1 << n) - 1;
for (int i = 0; i < 3; i++)
{
static const int s_muls[3] = { 1, 5, 25 };
const int t = pValues[i] >> n;
quints += t * s_muls[i];
bits[i] = pValues[i] & bit_mask;
}
// Encode the quints, by inverting the bit manipulations done by the decoder, converting 3 quints into 7-bits.
// See https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-integer-sequence-encoding
assert(quints < 125);
const int T = g_astc_quint_encode[quints];
// Now interleave the 7 encoded quint bits with the bits to form the encoded output. See table 95-96.
astc_set_bits(pOutput, bit_pos, bits[0] | (astc_extract_bits(T, 0, 2) << n) | (bits[1] << (3 + n)) | (astc_extract_bits(T, 3, 4) << (3 + n * 2)) |
(bits[2] << (5 + n * 2)) | (astc_extract_bits(T, 5, 6) << (5 + n * 3)), 7 + n * 3);
}
// Packs values using ASTC's BISE to output buffer.
static void astc_pack_bise(uint32_t* pDst, const uint8_t* pSrc_vals, int bit_pos, int num_vals, int range)
{
uint32_t temp[5] = { 0, 0, 0, 0, 0 };
const int num_bits = g_astc_bise_range_table[range][0];
int group_size = 0;
if (g_astc_bise_range_table[range][1])
group_size = 5;
else if (g_astc_bise_range_table[range][2])
group_size = 3;
if (group_size)
{
// Range has trits or quints - pack each group of 5 or 3 values
const int total_groups = (group_size == 5) ? ((num_vals + 4) / 5) : ((num_vals + 2) / 3);
for (int group_index = 0; group_index < total_groups; group_index++)
{
uint8_t vals[5] = { 0, 0, 0, 0, 0 };
const int limit = std::min(group_size, num_vals - group_index * group_size);
for (int i = 0; i < limit; i++)
vals[i] = pSrc_vals[group_index * group_size + i];
if (group_size == 5)
astc_encode_trits(temp, vals, bit_pos, num_bits);
else
astc_encode_quints(temp, vals, bit_pos, num_bits);
}
}
else
{
for (int i = 0; i < num_vals; i++)
astc_set_bits_1_to_9(temp, bit_pos, pSrc_vals[i], num_bits);
}
pDst[0] |= temp[0]; pDst[1] |= temp[1];
pDst[2] |= temp[2]; pDst[3] |= temp[3];
}
const uint32_t ASTC_BLOCK_MODE_BITS = 11;
const uint32_t ASTC_PART_BITS = 2;
const uint32_t ASTC_CEM_BITS = 4;
const uint32_t ASTC_PARTITION_INDEX_BITS = 10;
const uint32_t ASTC_CCS_BITS = 2;
const uint32_t g_uastc_mode_astc_block_mode[TOTAL_UASTC_MODES] = { 0x242, 0x42, 0x53, 0x42, 0x42, 0x53, 0x442, 0x42, 0, 0x42, 0x242, 0x442, 0x53, 0x441, 0x42, 0x242, 0x42, 0x442, 0x253 };
bool pack_astc_block(uint32_t* pDst, const astc_block_desc* pBlock, uint32_t uastc_mode)
{
assert(uastc_mode < TOTAL_UASTC_MODES);
uint8_t* pDst_bytes = reinterpret_cast<uint8_t*>(pDst);
const int total_weights = pBlock->m_dual_plane ? 32 : 16;
// Set mode bits - see Table 146-147
uint32_t mode = g_uastc_mode_astc_block_mode[uastc_mode];
pDst_bytes[0] = (uint8_t)mode;
pDst_bytes[1] = (uint8_t)(mode >> 8);
memset(pDst_bytes + 2, 0, 16 - 2);
int bit_pos = ASTC_BLOCK_MODE_BITS;
// We only support 1-5 bit weight indices
assert(!g_astc_bise_range_table[pBlock->m_weight_range][1] && !g_astc_bise_range_table[pBlock->m_weight_range][2]);
const int bits_per_weight = g_astc_bise_range_table[pBlock->m_weight_range][0];
// See table 143 - PART
astc_set_bits_1_to_9(pDst, bit_pos, pBlock->m_subsets - 1, ASTC_PART_BITS);
if (pBlock->m_subsets == 1)
astc_set_bits_1_to_9(pDst, bit_pos, pBlock->m_cem, ASTC_CEM_BITS);
else
{
// See table 145
astc_set_bits(pDst, bit_pos, pBlock->m_partition_seed, ASTC_PARTITION_INDEX_BITS);
// Table 150 - we assume all CEM's are equal, so write 2 0's along with the CEM
astc_set_bits_1_to_9(pDst, bit_pos, (pBlock->m_cem << 2) & 63, ASTC_CEM_BITS + 2);
}
if (pBlock->m_dual_plane)
{
const int total_weight_bits = total_weights * bits_per_weight;
// See Illegal Encodings 23.24
// https://www.khronos.org/registry/DataFormat/specs/1.3/dataformat.1.3.inline.html#_illegal_encodings
assert((total_weight_bits >= 24) && (total_weight_bits <= 96));
int ccs_bit_pos = 128 - total_weight_bits - ASTC_CCS_BITS;
astc_set_bits_1_to_9(pDst, ccs_bit_pos, pBlock->m_ccs, ASTC_CCS_BITS);
}
const int num_cem_pairs = (1 + (pBlock->m_cem >> 2)) * pBlock->m_subsets;
assert(num_cem_pairs <= 9);
astc_pack_bise(pDst, pBlock->m_endpoints, bit_pos, num_cem_pairs * 2, g_uastc_mode_endpoint_ranges[uastc_mode]);
// Write the weight bits in reverse bit order.
switch (bits_per_weight)
{
case 1:
{
const uint32_t N = 1;
for (int i = 0; i < total_weights; i++)
{
const uint32_t ofs = 128 - N - i;
assert((ofs >> 3) < 16);
pDst_bytes[ofs >> 3] |= (pBlock->m_weights[i] << (ofs & 7));
}
break;
}
case 2:
{
const uint32_t N = 2;
for (int i = 0; i < total_weights; i++)
{
static const uint8_t s_reverse_bits2[4] = { 0, 2, 1, 3 };
const uint32_t ofs = 128 - N - (i * N);
assert((ofs >> 3) < 16);
pDst_bytes[ofs >> 3] |= (s_reverse_bits2[pBlock->m_weights[i]] << (ofs & 7));
}
break;
}
case 3:
{
const uint32_t N = 3;
for (int i = 0; i < total_weights; i++)
{
static const uint8_t s_reverse_bits3[8] = { 0, 4, 2, 6, 1, 5, 3, 7 };
const uint32_t ofs = 128 - N - (i * N);
const uint32_t rev = s_reverse_bits3[pBlock->m_weights[i]] << (ofs & 7);
uint32_t index = ofs >> 3;
assert(index < 16);
pDst_bytes[index++] |= rev & 0xFF;
if (index < 16)
pDst_bytes[index++] |= (rev >> 8);
}
break;
}
case 4:
{
const uint32_t N = 4;
for (int i = 0; i < total_weights; i++)
{
static const uint8_t s_reverse_bits4[16] = { 0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15 };
const int ofs = 128 - N - (i * N);
assert(ofs >= 0 && (ofs >> 3) < 16);
pDst_bytes[ofs >> 3] |= (s_reverse_bits4[pBlock->m_weights[i]] << (ofs & 7));
}
break;
}
case 5:
{
const uint32_t N = 5;
for (int i = 0; i < total_weights; i++)
{
static const uint8_t s_reverse_bits5[32] = { 0, 16, 8, 24, 4, 20, 12, 28, 2, 18, 10, 26, 6, 22, 14, 30, 1, 17, 9, 25, 5, 21, 13, 29, 3, 19, 11, 27, 7, 23, 15, 31 };
const uint32_t ofs = 128 - N - (i * N);
const uint32_t rev = s_reverse_bits5[pBlock->m_weights[i]] << (ofs & 7);
uint32_t index = ofs >> 3;
assert(index < 16);
pDst_bytes[index++] |= rev & 0xFF;
if (index < 16)
pDst_bytes[index++] |= (rev >> 8);
}
break;
}
default:
assert(0);
break;
}
return true;
}
const uint8_t* get_anchor_indices(uint32_t subsets, uint32_t mode, uint32_t common_pattern, const uint8_t*& pPartition_pattern)
{
const uint8_t* pSubset_anchor_indices = g_zero_pattern;
pPartition_pattern = g_zero_pattern;
if (subsets >= 2)
{
if (subsets == 3)
{
pPartition_pattern = &g_astc_bc7_patterns3[common_pattern][0];
pSubset_anchor_indices = &g_astc_bc7_pattern3_anchors[common_pattern][0];
}
else if (mode == 7)
{
pPartition_pattern = &g_bc7_3_astc2_patterns2[common_pattern][0];
pSubset_anchor_indices = &g_bc7_3_astc2_patterns2_anchors[common_pattern][0];
}
else
{
pPartition_pattern = &g_astc_bc7_patterns2[common_pattern][0];
pSubset_anchor_indices = &g_astc_bc7_pattern2_anchors[common_pattern][0];
}
}
return pSubset_anchor_indices;
}
static inline uint32_t read_bit(const uint8_t* pBuf, uint32_t& bit_offset)
{
uint32_t byte_bits = pBuf[bit_offset >> 3] >> (bit_offset & 7);
bit_offset += 1;
return byte_bits & 1;
}
static inline uint32_t read_bits1_to_9(const uint8_t* pBuf, uint32_t& bit_offset, uint32_t codesize)
{
assert(codesize <= 9);
if (!codesize)
return 0;
if ((IS_BIG_ENDIAN) || (!USE_UNALIGNED_WORD_READS) || (bit_offset >= 112))
{
const uint8_t* pBytes = &pBuf[bit_offset >> 3U];
uint32_t byte_bit_offset = bit_offset & 7U;
uint32_t bits = pBytes[0] >> byte_bit_offset;
uint32_t bits_read = basisu::minimum<int>(codesize, 8 - byte_bit_offset);
uint32_t bits_remaining = codesize - bits_read;
if (bits_remaining)
bits |= ((uint32_t)pBytes[1]) << bits_read;
bit_offset += codesize;
return bits & ((1U << codesize) - 1U);
}
uint32_t byte_bit_offset = bit_offset & 7U;
const uint16_t w = *(const uint16_t *)(&pBuf[bit_offset >> 3U]);
bit_offset += codesize;
return (w >> byte_bit_offset) & ((1U << codesize) - 1U);
}
inline uint64_t read_bits64(const uint8_t* pBuf, uint32_t& bit_offset, uint32_t codesize)
{
assert(codesize <= 64U);
uint64_t bits = 0;
uint32_t total_bits = 0;
while (total_bits < codesize)
{
uint32_t byte_bit_offset = bit_offset & 7U;
uint32_t bits_to_read = basisu::minimum<int>(codesize - total_bits, 8U - byte_bit_offset);
uint32_t byte_bits = pBuf[bit_offset >> 3U] >> byte_bit_offset;
byte_bits &= ((1U << bits_to_read) - 1U);
bits |= ((uint64_t)(byte_bits) << total_bits);
total_bits += bits_to_read;
bit_offset += bits_to_read;
}
return bits;
}
static inline uint32_t read_bits1_to_9_fst(const uint8_t* pBuf, uint32_t& bit_offset, uint32_t codesize)
{
assert(codesize <= 9);
if (!codesize)
return 0;
assert(bit_offset < 112);
if ((IS_BIG_ENDIAN) || (!USE_UNALIGNED_WORD_READS))
{
const uint8_t* pBytes = &pBuf[bit_offset >> 3U];
uint32_t byte_bit_offset = bit_offset & 7U;
uint32_t bits = pBytes[0] >> byte_bit_offset;
uint32_t bits_read = basisu::minimum<int>(codesize, 8 - byte_bit_offset);
uint32_t bits_remaining = codesize - bits_read;
if (bits_remaining)
bits |= ((uint32_t)pBytes[1]) << bits_read;
bit_offset += codesize;
return bits & ((1U << codesize) - 1U);
}
uint32_t byte_bit_offset = bit_offset & 7U;
const uint16_t w = *(const uint16_t*)(&pBuf[bit_offset >> 3U]);
bit_offset += codesize;
return (w >> byte_bit_offset)& ((1U << codesize) - 1U);
}
bool unpack_uastc(const uastc_block& blk, unpacked_uastc_block& unpacked, bool blue_contract_check, bool read_hints)
{
//memset(&unpacked, 0, sizeof(unpacked));
#if 0
uint8_t table[128];
memset(table, 0xFF, sizeof(table));
{
for (uint32_t mode = 0; mode <= TOTAL_UASTC_MODES; mode++)
{
const uint32_t code = g_uastc_mode_huff_codes[mode][0];
const uint32_t codesize = g_uastc_mode_huff_codes[mode][1];
table[code] = mode;
uint32_t bits_left = 7 - codesize;
for (uint32_t i = 0; i < (1 << bits_left); i++)
table[code | (i << codesize)] = mode;
}
for (uint32_t i = 0; i < 128; i++)
printf("%u,", table[i]);
exit(0);
}
#endif
const int mode = g_uastc_huff_modes[blk.m_bytes[0] & 127];
if (mode >= (int)TOTAL_UASTC_MODES)
return false;
unpacked.m_mode = mode;
uint32_t bit_ofs = g_uastc_mode_huff_codes[mode][1];
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
unpacked.m_solid_color.r = (uint8_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
unpacked.m_solid_color.g = (uint8_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
unpacked.m_solid_color.b = (uint8_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
unpacked.m_solid_color.a = (uint8_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
if (read_hints)
{
unpacked.m_etc1_flip = false;
unpacked.m_etc1_diff = read_bit(blk.m_bytes, bit_ofs) != 0;
unpacked.m_etc1_inten0 = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 3);
unpacked.m_etc1_inten1 = 0;
unpacked.m_etc1_selector = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 2);
unpacked.m_etc1_r = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
unpacked.m_etc1_g = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
unpacked.m_etc1_b = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
unpacked.m_etc1_bias = 0;
unpacked.m_etc2_hints = 0;
}
return true;
}
if (read_hints)
{
if (g_uastc_mode_has_bc1_hint0[mode])
unpacked.m_bc1_hint0 = read_bit(blk.m_bytes, bit_ofs) != 0;
else
unpacked.m_bc1_hint0 = false;
if (g_uastc_mode_has_bc1_hint1[mode])
unpacked.m_bc1_hint1 = read_bit(blk.m_bytes, bit_ofs) != 0;
else
unpacked.m_bc1_hint1 = false;
unpacked.m_etc1_flip = read_bit(blk.m_bytes, bit_ofs) != 0;
unpacked.m_etc1_diff = read_bit(blk.m_bytes, bit_ofs) != 0;
unpacked.m_etc1_inten0 = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 3);
unpacked.m_etc1_inten1 = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 3);
if (g_uastc_mode_has_etc1_bias[mode])
unpacked.m_etc1_bias = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
else
unpacked.m_etc1_bias = 0;
if (g_uastc_mode_has_alpha[mode])
{
unpacked.m_etc2_hints = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
//assert(unpacked.m_etc2_hints > 0);
}
else
unpacked.m_etc2_hints = 0;
}
else
bit_ofs += g_uastc_mode_total_hint_bits[mode];
uint32_t subsets = 1;
switch (mode)
{
case 2:
case 4:
case 7:
case 9:
case 16:
unpacked.m_common_pattern = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
subsets = 2;
break;
case 3:
unpacked.m_common_pattern = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 4);
subsets = 3;
break;
default:
break;
}
uint32_t part_seed = 0;
switch (mode)
{
case 2:
case 4:
case 9:
case 16:
if (unpacked.m_common_pattern >= TOTAL_ASTC_BC7_COMMON_PARTITIONS2)
return false;
part_seed = g_astc_bc7_common_partitions2[unpacked.m_common_pattern].m_astc;
break;
case 3:
if (unpacked.m_common_pattern >= TOTAL_ASTC_BC7_COMMON_PARTITIONS3)
return false;
part_seed = g_astc_bc7_common_partitions3[unpacked.m_common_pattern].m_astc;
break;
case 7:
if (unpacked.m_common_pattern >= TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS)
return false;
part_seed = g_bc7_3_astc2_common_partitions[unpacked.m_common_pattern].m_astc2;
break;
default:
break;
}
uint32_t total_planes = 1;
switch (mode)
{
case 6:
case 11:
case 13:
unpacked.m_astc.m_ccs = (int)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 2);
total_planes = 2;
break;
case 17:
unpacked.m_astc.m_ccs = 3;
total_planes = 2;
break;
default:
break;
}
unpacked.m_astc.m_dual_plane = (total_planes == 2);
unpacked.m_astc.m_subsets = subsets;
unpacked.m_astc.m_partition_seed = part_seed;
const uint32_t total_comps = g_uastc_mode_comps[mode];
const uint32_t weight_bits = g_uastc_mode_weight_bits[mode];
unpacked.m_astc.m_weight_range = g_uastc_mode_weight_ranges[mode];
const uint32_t total_values = total_comps * 2 * subsets;
const uint32_t endpoint_range = g_uastc_mode_endpoint_ranges[mode];
const uint32_t cem = g_uastc_mode_cem[mode];
unpacked.m_astc.m_cem = cem;
const uint32_t ep_bits = g_astc_bise_range_table[endpoint_range][0];
const uint32_t ep_trits = g_astc_bise_range_table[endpoint_range][1];
const uint32_t ep_quints = g_astc_bise_range_table[endpoint_range][2];
uint32_t total_tqs = 0;
uint32_t bundle_size = 0, mul = 0;
if (ep_trits)
{
total_tqs = (total_values + 4) / 5;
bundle_size = 5;
mul = 3;
}
else if (ep_quints)
{
total_tqs = (total_values + 2) / 3;
bundle_size = 3;
mul = 5;
}
uint32_t tq_values[8];
for (uint32_t i = 0; i < total_tqs; i++)
{
uint32_t num_bits = ep_trits ? 8 : 7;
if (i == (total_tqs - 1))
{
uint32_t num_remaining = total_values - (total_tqs - 1) * bundle_size;
if (ep_trits)
{
switch (num_remaining)
{
case 1: num_bits = 2; break;
case 2: num_bits = 4; break;
case 3: num_bits = 5; break;
case 4: num_bits = 7; break;
default: break;
}
}
else if (ep_quints)
{
switch (num_remaining)
{
case 1: num_bits = 3; break;
case 2: num_bits = 5; break;
default: break;
}
}
}
tq_values[i] = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, num_bits);
} // i
uint32_t accum = 0;
uint32_t accum_remaining = 0;
uint32_t next_tq_index = 0;
for (uint32_t i = 0; i < total_values; i++)
{
uint32_t value = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, ep_bits);
if (total_tqs)
{
if (!accum_remaining)
{
assert(next_tq_index < total_tqs);
accum = tq_values[next_tq_index++];
accum_remaining = bundle_size;
}
// TODO: Optimize with tables
uint32_t v = accum % mul;
accum /= mul;
accum_remaining--;
value |= (v << ep_bits);
}
unpacked.m_astc.m_endpoints[i] = (uint8_t)value;
}
const uint8_t* pPartition_pattern;
const uint8_t* pSubset_anchor_indices = get_anchor_indices(subsets, mode, unpacked.m_common_pattern, pPartition_pattern);
#ifdef _DEBUG
for (uint32_t i = 0; i < 16; i++)
assert(pPartition_pattern[i] == astc_compute_texel_partition(part_seed, i & 3, i >> 2, 0, subsets, true));
for (uint32_t subset_index = 0; subset_index < subsets; subset_index++)
{
uint32_t anchor_index = 0;
for (uint32_t i = 0; i < 16; i++)
{
if (pPartition_pattern[i] == subset_index)
{
anchor_index = i;
break;
}
}
assert(pSubset_anchor_indices[subset_index] == anchor_index);
}
#endif
#if 0
const uint32_t total_planes_shift = total_planes - 1;
for (uint32_t i = 0; i < 16 * total_planes; i++)
{
uint32_t num_bits = weight_bits;
for (uint32_t s = 0; s < subsets; s++)
{
if (pSubset_anchor_indices[s] == (i >> total_planes_shift))
{
num_bits--;
break;
}
}
unpacked.m_astc.m_weights[i] = (uint8_t)read_bits1_to_9(blk.m_bytes, bit_ofs, num_bits);
}
#endif
if (mode == 18)
{
// Mode 18 is the only mode with more than 64 weight bits.
for (uint32_t i = 0; i < 16; i++)
unpacked.m_astc.m_weights[i] = (uint8_t)read_bits1_to_9(blk.m_bytes, bit_ofs, i ? weight_bits : (weight_bits - 1));
}
else
{
// All other modes have <= 64 weight bits.
uint64_t bits;
// Read the weight bits
if ((IS_BIG_ENDIAN) || (!USE_UNALIGNED_WORD_READS))
bits = read_bits64(blk.m_bytes, bit_ofs, std::min<int>(64, 128 - (int)bit_ofs));
else
{
bits = blk.m_qwords[1];
if (bit_ofs >= 64U)
bits >>= (bit_ofs - 64U);
else
{
assert(bit_ofs >= 56U);
uint32_t bits_needed = 64U - bit_ofs;
bits <<= bits_needed;
bits |= (blk.m_bytes[7] >> (8U - bits_needed));
}
}
bit_ofs = 0;
const uint32_t mask = (1U << weight_bits) - 1U;
const uint32_t anchor_mask = (1U << (weight_bits - 1U)) - 1U;
if (total_planes == 2)
{
// Dual plane modes always have a single subset, and the first 2 weights are anchors.
unpacked.m_astc.m_weights[0] = (uint8_t)((uint32_t)(bits >> bit_ofs) & anchor_mask);
bit_ofs += (weight_bits - 1);
unpacked.m_astc.m_weights[1] = (uint8_t)((uint32_t)(bits >> bit_ofs) & anchor_mask);
bit_ofs += (weight_bits - 1);
for (uint32_t i = 2; i < 32; i++)
{
unpacked.m_astc.m_weights[i] = (uint8_t)((uint32_t)(bits >> bit_ofs) & mask);
bit_ofs += weight_bits;
}
}
else
{
if (subsets == 1)
{
// Specialize the single subset case.
if (weight_bits == 4)
{
assert(bit_ofs == 0);
// Specialize the most common case: 4-bit weights.
unpacked.m_astc.m_weights[0] = (uint8_t)((uint32_t)(bits) & 7);
unpacked.m_astc.m_weights[1] = (uint8_t)((uint32_t)(bits >> 3) & 15);
unpacked.m_astc.m_weights[2] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 1)) & 15);
unpacked.m_astc.m_weights[3] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 2)) & 15);
unpacked.m_astc.m_weights[4] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 3)) & 15);
unpacked.m_astc.m_weights[5] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 4)) & 15);
unpacked.m_astc.m_weights[6] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 5)) & 15);
unpacked.m_astc.m_weights[7] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 6)) & 15);
unpacked.m_astc.m_weights[8] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 7)) & 15);
unpacked.m_astc.m_weights[9] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 8)) & 15);
unpacked.m_astc.m_weights[10] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 9)) & 15);
unpacked.m_astc.m_weights[11] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 10)) & 15);
unpacked.m_astc.m_weights[12] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 11)) & 15);
unpacked.m_astc.m_weights[13] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 12)) & 15);
unpacked.m_astc.m_weights[14] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 13)) & 15);
unpacked.m_astc.m_weights[15] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 14)) & 15);
}
else
{
// First weight is always an anchor.
unpacked.m_astc.m_weights[0] = (uint8_t)((uint32_t)(bits >> bit_ofs) & anchor_mask);
bit_ofs += (weight_bits - 1);
for (uint32_t i = 1; i < 16; i++)
{
unpacked.m_astc.m_weights[i] = (uint8_t)((uint32_t)(bits >> bit_ofs) & mask);
bit_ofs += weight_bits;
}
}
}
else
{
const uint32_t a0 = pSubset_anchor_indices[0], a1 = pSubset_anchor_indices[1], a2 = pSubset_anchor_indices[2];
for (uint32_t i = 0; i < 16; i++)
{
if ((i == a0) || (i == a1) || (i == a2))
{
unpacked.m_astc.m_weights[i] = (uint8_t)((uint32_t)(bits >> bit_ofs) & anchor_mask);
bit_ofs += (weight_bits - 1);
}
else
{
unpacked.m_astc.m_weights[i] = (uint8_t)((uint32_t)(bits >> bit_ofs) & mask);
bit_ofs += weight_bits;
}
}
}
}
}
if ((blue_contract_check) && (total_comps >= 3))
{
// We only need to disable ASTC Blue Contraction when we'll be packing to ASTC. The other transcoders don't care.
bool invert_subset[3] = { false, false, false };
bool any_flag = false;
for (uint32_t subset_index = 0; subset_index < subsets; subset_index++)
{
const int s0 = g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 0]].m_unquant +
g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 2]].m_unquant +
g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 4]].m_unquant;
const int s1 = g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 1]].m_unquant +
g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 3]].m_unquant +
g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 5]].m_unquant;
if (s1 < s0)
{
for (uint32_t c = 0; c < total_comps; c++)
std::swap(unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + c * 2 + 0], unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + c * 2 + 1]);
invert_subset[subset_index] = true;
any_flag = true;
}
}
if (any_flag)
{
const uint32_t weight_mask = (1 << weight_bits) - 1;
for (uint32_t i = 0; i < 16; i++)
{
uint32_t subset = pPartition_pattern[i];
if (invert_subset[subset])
{
unpacked.m_astc.m_weights[i * total_planes] = (uint8_t)(weight_mask - unpacked.m_astc.m_weights[i * total_planes]);
if (total_planes == 2)
unpacked.m_astc.m_weights[i * total_planes + 1] = (uint8_t)(weight_mask - unpacked.m_astc.m_weights[i * total_planes + 1]);
}
}
}
}
return true;
}
static const uint32_t* g_astc_weight_tables[6] = { nullptr, g_bc7_weights1, g_bc7_weights2, g_bc7_weights3, g_astc_weights4, g_astc_weights5 };
bool unpack_uastc(uint32_t mode, uint32_t common_pattern, const color32& solid_color, const astc_block_desc& astc, color32* pPixels, bool srgb)
{
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
for (uint32_t i = 0; i < 16; i++)
pPixels[i] = solid_color;
return true;
}
color32 endpoints[3][2];
const uint32_t total_subsets = g_uastc_mode_subsets[mode];
const uint32_t total_comps = std::min<uint32_t>(4U, g_uastc_mode_comps[mode]);
const uint32_t endpoint_range = g_uastc_mode_endpoint_ranges[mode];
const uint32_t total_planes = g_uastc_mode_planes[mode];
const uint32_t weight_bits = g_uastc_mode_weight_bits[mode];
const uint32_t weight_levels = 1 << weight_bits;
for (uint32_t subset_index = 0; subset_index < total_subsets; subset_index++)
{
if (total_comps == 2)
{
const uint32_t ll = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + 0 * 2 + 0]].m_unquant;
const uint32_t lh = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + 0 * 2 + 1]].m_unquant;
const uint32_t al = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + 1 * 2 + 0]].m_unquant;
const uint32_t ah = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + 1 * 2 + 1]].m_unquant;
endpoints[subset_index][0].set_noclamp_rgba(ll, ll, ll, al);
endpoints[subset_index][1].set_noclamp_rgba(lh, lh, lh, ah);
}
else
{
for (uint32_t comp_index = 0; comp_index < total_comps; comp_index++)
{
endpoints[subset_index][0][comp_index] = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + comp_index * 2 + 0]].m_unquant;
endpoints[subset_index][1][comp_index] = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + comp_index * 2 + 1]].m_unquant;
}
for (uint32_t comp_index = total_comps; comp_index < 4; comp_index++)
{
endpoints[subset_index][0][comp_index] = 255;
endpoints[subset_index][1][comp_index] = 255;
}
}
}
color32 block_colors[3][32];
const uint32_t* pWeights = g_astc_weight_tables[weight_bits];
for (uint32_t subset_index = 0; subset_index < total_subsets; subset_index++)
{
for (uint32_t l = 0; l < weight_levels; l++)
{
if (total_comps == 2)
{
const uint8_t lc = (uint8_t)astc_interpolate(endpoints[subset_index][0][0], endpoints[subset_index][1][0], pWeights[l], srgb);
const uint8_t ac = (uint8_t)astc_interpolate(endpoints[subset_index][0][3], endpoints[subset_index][1][3], pWeights[l], srgb);
block_colors[subset_index][l].set(lc, lc, lc, ac);
}
else
{
uint32_t comp_index;
for (comp_index = 0; comp_index < total_comps; comp_index++)
block_colors[subset_index][l][comp_index] = (uint8_t)astc_interpolate(endpoints[subset_index][0][comp_index], endpoints[subset_index][1][comp_index], pWeights[l], srgb);
for (; comp_index < 4; comp_index++)
block_colors[subset_index][l][comp_index] = 255;
}
}
}
const uint8_t* pPartition_pattern = g_zero_pattern;
if (total_subsets >= 2)
{
if (total_subsets == 3)
pPartition_pattern = &g_astc_bc7_patterns3[common_pattern][0];
else if (mode == 7)
pPartition_pattern = &g_bc7_3_astc2_patterns2[common_pattern][0];
else
pPartition_pattern = &g_astc_bc7_patterns2[common_pattern][0];
#ifdef _DEBUG
for (uint32_t i = 0; i < 16; i++)
{
assert(pPartition_pattern[i] == (uint8_t)astc_compute_texel_partition(astc.m_partition_seed, i & 3, i >> 2, 0, total_subsets, true));
}
#endif
}
if (total_planes == 1)
{
if (total_subsets == 1)
{
for (uint32_t i = 0; i < 16; i++)
{
assert(astc.m_weights[i] < weight_levels);
pPixels[i] = block_colors[0][astc.m_weights[i]];
}
}
else
{
for (uint32_t i = 0; i < 16; i++)
{
assert(astc.m_weights[i] < weight_levels);
pPixels[i] = block_colors[pPartition_pattern[i]][astc.m_weights[i]];
}
}
}
else
{
assert(total_subsets == 1);
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t subset_index = 0; // pPartition_pattern[i];
const uint32_t weight_index0 = astc.m_weights[i * 2];
const uint32_t weight_index1 = astc.m_weights[i * 2 + 1];
assert(weight_index0 < weight_levels && weight_index1 < weight_levels);
color32& c = pPixels[i];
for (uint32_t comp = 0; comp < 4; comp++)
{
if ((int)comp == astc.m_ccs)
c[comp] = block_colors[subset_index][weight_index1][comp];
else
c[comp] = block_colors[subset_index][weight_index0][comp];
}
}
}
return true;
}
bool unpack_uastc(const unpacked_uastc_block& unpacked_blk, color32* pPixels, bool srgb)
{
return unpack_uastc(unpacked_blk.m_mode, unpacked_blk.m_common_pattern, unpacked_blk.m_solid_color, unpacked_blk.m_astc, pPixels, srgb);
}
bool unpack_uastc(const uastc_block& blk, color32* pPixels, bool srgb)
{
unpacked_uastc_block unpacked_blk;
if (!unpack_uastc(blk, unpacked_blk, false, false))
return false;
return unpack_uastc(unpacked_blk, pPixels, srgb);
}
// Determines the best shared pbits to use to encode xl/xh
static void determine_shared_pbits(
uint32_t total_comps, uint32_t comp_bits, float xl[4], float xh[4],
color_quad_u8& bestMinColor, color_quad_u8& bestMaxColor, uint32_t best_pbits[2])
{
const uint32_t total_bits = comp_bits + 1;
assert(total_bits >= 4 && total_bits <= 8);
const int iscalep = (1 << total_bits) - 1;
const float scalep = (float)iscalep;
float best_err = 1e+9f;
for (int p = 0; p < 2; p++)
{
color_quad_u8 xMinColor, xMaxColor;
for (uint32_t c = 0; c < 4; c++)
{
xMinColor.m_c[c] = (uint8_t)(clampi(((int)((xl[c] * scalep - p) / 2.0f + .5f)) * 2 + p, p, iscalep - 1 + p));
xMaxColor.m_c[c] = (uint8_t)(clampi(((int)((xh[c] * scalep - p) / 2.0f + .5f)) * 2 + p, p, iscalep - 1 + p));
}
color_quad_u8 scaledLow, scaledHigh;
for (uint32_t i = 0; i < 4; i++)
{
scaledLow.m_c[i] = (xMinColor.m_c[i] << (8 - total_bits));
scaledLow.m_c[i] |= (scaledLow.m_c[i] >> total_bits);
assert(scaledLow.m_c[i] <= 255);
scaledHigh.m_c[i] = (xMaxColor.m_c[i] << (8 - total_bits));
scaledHigh.m_c[i] |= (scaledHigh.m_c[i] >> total_bits);
assert(scaledHigh.m_c[i] <= 255);
}
float err = 0;
for (uint32_t i = 0; i < total_comps; i++)
err += basisu::squaref((scaledLow.m_c[i] / 255.0f) - xl[i]) + basisu::squaref((scaledHigh.m_c[i] / 255.0f) - xh[i]);
if (err < best_err)
{
best_err = err;
best_pbits[0] = p;
best_pbits[1] = p;
for (uint32_t j = 0; j < 4; j++)
{
bestMinColor.m_c[j] = xMinColor.m_c[j] >> 1;
bestMaxColor.m_c[j] = xMaxColor.m_c[j] >> 1;
}
}
}
}
// Determines the best unique pbits to use to encode xl/xh
static void determine_unique_pbits(
uint32_t total_comps, uint32_t comp_bits, float xl[4], float xh[4],
color_quad_u8& bestMinColor, color_quad_u8& bestMaxColor, uint32_t best_pbits[2])
{
const uint32_t total_bits = comp_bits + 1;
const int iscalep = (1 << total_bits) - 1;
const float scalep = (float)iscalep;
float best_err0 = 1e+9f;
float best_err1 = 1e+9f;
for (int p = 0; p < 2; p++)
{
color_quad_u8 xMinColor, xMaxColor;
for (uint32_t c = 0; c < 4; c++)
{
xMinColor.m_c[c] = (uint8_t)(clampi(((int)((xl[c] * scalep - p) / 2.0f + .5f)) * 2 + p, p, iscalep - 1 + p));
xMaxColor.m_c[c] = (uint8_t)(clampi(((int)((xh[c] * scalep - p) / 2.0f + .5f)) * 2 + p, p, iscalep - 1 + p));
}
color_quad_u8 scaledLow, scaledHigh;
for (uint32_t i = 0; i < 4; i++)
{
scaledLow.m_c[i] = (xMinColor.m_c[i] << (8 - total_bits));
scaledLow.m_c[i] |= (scaledLow.m_c[i] >> total_bits);
assert(scaledLow.m_c[i] <= 255);
scaledHigh.m_c[i] = (xMaxColor.m_c[i] << (8 - total_bits));
scaledHigh.m_c[i] |= (scaledHigh.m_c[i] >> total_bits);
assert(scaledHigh.m_c[i] <= 255);
}
float err0 = 0, err1 = 0;
for (uint32_t i = 0; i < total_comps; i++)
{
err0 += basisu::squaref(scaledLow.m_c[i] - xl[i] * 255.0f);
err1 += basisu::squaref(scaledHigh.m_c[i] - xh[i] * 255.0f);
}
if (err0 < best_err0)
{
best_err0 = err0;
best_pbits[0] = p;
bestMinColor.m_c[0] = xMinColor.m_c[0] >> 1;
bestMinColor.m_c[1] = xMinColor.m_c[1] >> 1;
bestMinColor.m_c[2] = xMinColor.m_c[2] >> 1;
bestMinColor.m_c[3] = xMinColor.m_c[3] >> 1;
}
if (err1 < best_err1)
{
best_err1 = err1;
best_pbits[1] = p;
bestMaxColor.m_c[0] = xMaxColor.m_c[0] >> 1;
bestMaxColor.m_c[1] = xMaxColor.m_c[1] >> 1;
bestMaxColor.m_c[2] = xMaxColor.m_c[2] >> 1;
bestMaxColor.m_c[3] = xMaxColor.m_c[3] >> 1;
}
}
}
bool transcode_uastc_to_astc(const uastc_block& src_blk, void* pDst)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, true, false))
return false;
bool success = false;
if (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
pack_astc_solid_block(pDst, unpacked_src_blk.m_solid_color);
success = true;
}
else
{
success = pack_astc_block(static_cast<uint32_t*>(pDst), &unpacked_src_blk.m_astc, unpacked_src_blk.m_mode);
}
return success;
}
bool transcode_uastc_to_bc7(const unpacked_uastc_block& unpacked_src_blk, bc7_optimization_results& dst_blk)
{
memset(&dst_blk, 0, sizeof(dst_blk));
const uint32_t mode = unpacked_src_blk.m_mode;
const uint32_t endpoint_range = g_uastc_mode_endpoint_ranges[mode];
const uint32_t total_comps = g_uastc_mode_comps[mode];
switch (mode)
{
case 0:
case 5:
case 10:
case 12:
case 14:
case 15:
case 18:
{
// MODE 0: DualPlane: 0, WeightRange: 8 (16), Subsets: 1, EndpointRange: 19 (192) - BC7 MODE6 RGB
// MODE 5: DualPlane: 0, WeightRange : 5 (8), Subsets : 1, EndpointRange : 20 (256) - BC7 MODE6 RGB
// MODE 10 DualPlane: 0, WeightRange: 8 (16), Subsets: 1, EndpointRange: 13 (48) - BC7 MODE6
// MODE 12: DualPlane: 0, WeightRange : 5 (8), Subsets : 1, EndpointRange : 19 (192) - BC7 MODE6
// MODE 14: DualPlane: 0, WeightRange : 2 (4), Subsets : 1, EndpointRange : 20 (256) - BC7 MODE6
// MODE 18: DualPlane: 0, WeightRange : 11 (32), Subsets : 1, CEM : 8, EndpointRange : 11 (32) - BC7 MODE6
// MODE 15: DualPlane: 0, WeightRange : 8 (16), Subsets : 1, CEM : 4 (LA Direct), EndpointRange : 20 (256) - BC7 MODE6
dst_blk.m_mode = 6;
float xl[4], xh[4];
if (total_comps == 2)
{
xl[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0]].m_unquant / 255.0f;
xh[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1]].m_unquant / 255.0f;
xl[1] = xl[0];
xh[1] = xh[0];
xl[2] = xl[0];
xh[2] = xh[0];
xl[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2]].m_unquant / 255.0f;
xh[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3]].m_unquant / 255.0f;
}
else
{
xl[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0]].m_unquant / 255.0f;
xl[1] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2]].m_unquant / 255.0f;
xl[2] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[4]].m_unquant / 255.0f;
xh[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1]].m_unquant / 255.0f;
xh[1] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3]].m_unquant / 255.0f;
xh[2] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[5]].m_unquant / 255.0f;
if (total_comps == 4)
{
xl[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[6]].m_unquant / 255.0f;
xh[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[7]].m_unquant / 255.0f;
}
else
{
xl[3] = 1.0f;
xh[3] = 1.0f;
}
}
uint32_t best_pbits[2];
color_quad_u8 bestMinColor, bestMaxColor;
determine_unique_pbits((total_comps == 2) ? 4 : total_comps, 7, xl, xh, bestMinColor, bestMaxColor, best_pbits);
dst_blk.m_low[0] = bestMinColor;
dst_blk.m_high[0] = bestMaxColor;
if (total_comps == 3)
{
dst_blk.m_low[0].m_c[3] = 127;
dst_blk.m_high[0].m_c[3] = 127;
}
dst_blk.m_pbits[0][0] = best_pbits[0];
dst_blk.m_pbits[0][1] = best_pbits[1];
if (mode == 18)
{
const uint8_t s_bc7_5_to_4[32] = { 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15 };
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = s_bc7_5_to_4[unpacked_src_blk.m_astc.m_weights[i]];
}
else if (mode == 14)
{
const uint8_t s_bc7_2_to_4[4] = { 0, 5, 10, 15 };
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = s_bc7_2_to_4[unpacked_src_blk.m_astc.m_weights[i]];
}
else if ((mode == 5) || (mode == 12))
{
const uint8_t s_bc7_3_to_4[8] = { 0, 2, 4, 6, 9, 11, 13, 15 };
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = s_bc7_3_to_4[unpacked_src_blk.m_astc.m_weights[i]];
}
else
{
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
}
break;
}
case 1:
{
// DualPlane: 0, WeightRange : 2 (4), Subsets : 1, EndpointRange : 20 (256) - BC7 MODE3
// Mode 1 uses endpoint range 20 - no need to use ASTC dequant tables.
dst_blk.m_mode = 3;
float xl[4], xh[4];
xl[0] = unpacked_src_blk.m_astc.m_endpoints[0] / 255.0f;
xl[1] = unpacked_src_blk.m_astc.m_endpoints[2] / 255.0f;
xl[2] = unpacked_src_blk.m_astc.m_endpoints[4] / 255.0f;
xl[3] = 1.0f;
xh[0] = unpacked_src_blk.m_astc.m_endpoints[1] / 255.0f;
xh[1] = unpacked_src_blk.m_astc.m_endpoints[3] / 255.0f;
xh[2] = unpacked_src_blk.m_astc.m_endpoints[5] / 255.0f;
xh[3] = 1.0f;
uint32_t best_pbits[2];
color_quad_u8 bestMinColor, bestMaxColor;
memset(&bestMinColor, 0, sizeof(bestMinColor));
memset(&bestMaxColor, 0, sizeof(bestMaxColor));
determine_unique_pbits(3, 7, xl, xh, bestMinColor, bestMaxColor, best_pbits);
for (uint32_t i = 0; i < 3; i++)
{
dst_blk.m_low[0].m_c[i] = bestMinColor.m_c[i];
dst_blk.m_high[0].m_c[i] = bestMaxColor.m_c[i];
dst_blk.m_low[1].m_c[i] = bestMinColor.m_c[i];
dst_blk.m_high[1].m_c[i] = bestMaxColor.m_c[i];
}
dst_blk.m_pbits[0][0] = best_pbits[0];
dst_blk.m_pbits[0][1] = best_pbits[1];
dst_blk.m_pbits[1][0] = best_pbits[0];
dst_blk.m_pbits[1][1] = best_pbits[1];
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case 2:
{
// 2. DualPlane: 0, WeightRange : 5 (8), Subsets : 2, EndpointRange : 8 (16) - BC7 MODE1
dst_blk.m_mode = 1;
dst_blk.m_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_bc7;
const bool invert_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_invert;
float xl[4], xh[4];
xl[3] = 1.0f;
xh[3] = 1.0f;
for (uint32_t subset = 0; subset < 2; subset++)
{
for (uint32_t i = 0; i < 3; i++)
{
uint32_t v = unpacked_src_blk.m_astc.m_endpoints[i * 2 + subset * 6];
v = (v << 4) | v;
xl[i] = v / 255.0f;
v = unpacked_src_blk.m_astc.m_endpoints[i * 2 + subset * 6 + 1];
v = (v << 4) | v;
xh[i] = v / 255.0f;
}
uint32_t best_pbits[2] = { 0, 0 };
color_quad_u8 bestMinColor, bestMaxColor;
memset(&bestMinColor, 0, sizeof(bestMinColor));
memset(&bestMaxColor, 0, sizeof(bestMaxColor));
determine_shared_pbits(3, 6, xl, xh, bestMinColor, bestMaxColor, best_pbits);
const uint32_t bc7_subset_index = invert_partition ? (1 - subset) : subset;
for (uint32_t i = 0; i < 3; i++)
{
dst_blk.m_low[bc7_subset_index].m_c[i] = bestMinColor.m_c[i];
dst_blk.m_high[bc7_subset_index].m_c[i] = bestMaxColor.m_c[i];
}
dst_blk.m_pbits[bc7_subset_index][0] = best_pbits[0];
} // subset
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case 3:
{
// DualPlane: 0, WeightRange : 2 (4), Subsets : 3, EndpointRange : 7 (12) - BC7 MODE2
dst_blk.m_mode = 2;
dst_blk.m_partition = g_astc_bc7_common_partitions3[unpacked_src_blk.m_common_pattern].m_bc7;
const uint32_t perm = g_astc_bc7_common_partitions3[unpacked_src_blk.m_common_pattern].m_astc_to_bc7_perm;
for (uint32_t subset = 0; subset < 3; subset++)
{
for (uint32_t comp = 0; comp < 3; comp++)
{
uint32_t lo = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[comp * 2 + 0 + subset * 6]].m_unquant;
uint32_t hi = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[comp * 2 + 1 + subset * 6]].m_unquant;
// TODO: I think this can be improved by using tables like Basis Universal does with ETC1S conversion.
lo = (lo * 31 + 127) / 255;
hi = (hi * 31 + 127) / 255;
const uint32_t bc7_subset_index = g_astc_to_bc7_partition_index_perm_tables[perm][subset];
dst_blk.m_low[bc7_subset_index].m_c[comp] = (uint8_t)lo;
dst_blk.m_high[bc7_subset_index].m_c[comp] = (uint8_t)hi;
}
}
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case 4:
{
// 4. DualPlane: 0, WeightRange: 2 (4), Subsets: 2, EndpointRange: 12 (40) - BC7 MODE3
dst_blk.m_mode = 3;
dst_blk.m_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_bc7;
const bool invert_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_invert;
float xl[4], xh[4];
xl[3] = 1.0f;
xh[3] = 1.0f;
for (uint32_t subset = 0; subset < 2; subset++)
{
for (uint32_t i = 0; i < 3; i++)
{
xl[i] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[i * 2 + subset * 6]].m_unquant / 255.0f;
xh[i] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[i * 2 + subset * 6 + 1]].m_unquant / 255.0f;
}
uint32_t best_pbits[2] = { 0, 0 };
color_quad_u8 bestMinColor, bestMaxColor;
memset(&bestMinColor, 0, sizeof(bestMinColor));
memset(&bestMaxColor, 0, sizeof(bestMaxColor));
determine_unique_pbits(3, 7, xl, xh, bestMinColor, bestMaxColor, best_pbits);
const uint32_t bc7_subset_index = invert_partition ? (1 - subset) : subset;
for (uint32_t i = 0; i < 3; i++)
{
dst_blk.m_low[bc7_subset_index].m_c[i] = bestMinColor.m_c[i];
dst_blk.m_high[bc7_subset_index].m_c[i] = bestMaxColor.m_c[i];
}
dst_blk.m_low[bc7_subset_index].m_c[3] = 127;
dst_blk.m_high[bc7_subset_index].m_c[3] = 127;
dst_blk.m_pbits[bc7_subset_index][0] = best_pbits[0];
dst_blk.m_pbits[bc7_subset_index][1] = best_pbits[1];
} // subset
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case 6:
case 11:
case 13:
case 17:
{
// MODE 6: DualPlane: 1, WeightRange : 2 (4), Subsets : 1, EndpointRange : 18 (160) - BC7 MODE5 RGB
// MODE 11: DualPlane: 1, WeightRange: 2 (4), Subsets: 1, EndpointRange: 13 (48) - BC7 MODE5
// MODE 13: DualPlane: 1, WeightRange: 0 (2), Subsets : 1, EndpointRange : 20 (256) - BC7 MODE5
// MODE 17: DualPlane: 1, WeightRange: 2 (4), Subsets: 1, CEM: 4 (LA Direct), EndpointRange: 20 (256) - BC7 MODE5
dst_blk.m_mode = 5;
dst_blk.m_rotation = (unpacked_src_blk.m_astc.m_ccs + 1) & 3;
if (total_comps == 2)
{
assert(unpacked_src_blk.m_astc.m_ccs == 3);
dst_blk.m_low->m_c[0] = (uint8_t)((g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0]].m_unquant * 127 + 127) / 255);
dst_blk.m_high->m_c[0] = (uint8_t)((g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1]].m_unquant * 127 + 127) / 255);
dst_blk.m_low->m_c[1] = dst_blk.m_low->m_c[0];
dst_blk.m_high->m_c[1] = dst_blk.m_high->m_c[0];
dst_blk.m_low->m_c[2] = dst_blk.m_low->m_c[0];
dst_blk.m_high->m_c[2] = dst_blk.m_high->m_c[0];
dst_blk.m_low->m_c[3] = (uint8_t)(g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2]].m_unquant);
dst_blk.m_high->m_c[3] = (uint8_t)(g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3]].m_unquant);
}
else
{
for (uint32_t astc_comp = 0; astc_comp < 4; astc_comp++)
{
uint32_t bc7_comp = astc_comp;
// ASTC and BC7 handle dual plane component rotations differently:
// ASTC: 2nd plane separately interpolates the CCS channel.
// BC7: 2nd plane channel is swapped with alpha, 2nd plane controls alpha interpolation, then we swap alpha with the desired channel.
if (astc_comp == (uint32_t)unpacked_src_blk.m_astc.m_ccs)
bc7_comp = 3;
else if (astc_comp == 3)
bc7_comp = unpacked_src_blk.m_astc.m_ccs;
uint32_t l = 255, h = 255;
if (astc_comp < total_comps)
{
l = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[astc_comp * 2 + 0]].m_unquant;
h = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[astc_comp * 2 + 1]].m_unquant;
}
if (bc7_comp < 3)
{
l = (l * 127 + 127) / 255;
h = (h * 127 + 127) / 255;
}
dst_blk.m_low->m_c[bc7_comp] = (uint8_t)l;
dst_blk.m_high->m_c[bc7_comp] = (uint8_t)h;
}
}
if (mode == 13)
{
for (uint32_t i = 0; i < 16; i++)
{
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i * 2] ? 3 : 0;
dst_blk.m_alpha_selectors[i] = unpacked_src_blk.m_astc.m_weights[i * 2 + 1] ? 3 : 0;
}
}
else
{
for (uint32_t i = 0; i < 16; i++)
{
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i * 2];
dst_blk.m_alpha_selectors[i] = unpacked_src_blk.m_astc.m_weights[i * 2 + 1];
}
}
break;
}
case 7:
{
// DualPlane: 0, WeightRange : 2 (4), Subsets : 2, EndpointRange : 12 (40) - BC7 MODE2
dst_blk.m_mode = 2;
dst_blk.m_partition = g_bc7_3_astc2_common_partitions[unpacked_src_blk.m_common_pattern].m_bc73;
const uint32_t common_pattern_k = g_bc7_3_astc2_common_partitions[unpacked_src_blk.m_common_pattern].k;
for (uint32_t bc7_part = 0; bc7_part < 3; bc7_part++)
{
const uint32_t astc_part = bc7_convert_partition_index_3_to_2(bc7_part, common_pattern_k);
for (uint32_t c = 0; c < 3; c++)
{
dst_blk.m_low[bc7_part].m_c[c] = (g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[c * 2 + 0 + astc_part * 6]].m_unquant * 31 + 127) / 255;
dst_blk.m_high[bc7_part].m_c[c] = (g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[c * 2 + 1 + astc_part * 6]].m_unquant * 31 + 127) / 255;
}
}
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case UASTC_MODE_INDEX_SOLID_COLOR:
{
// Void-Extent: Solid Color RGBA (BC7 MODE5 or MODE6)
const color32& solid_color = unpacked_src_blk.m_solid_color;
uint32_t best_err0 = g_bc7_mode_6_optimal_endpoints[solid_color.r][0].m_error + g_bc7_mode_6_optimal_endpoints[solid_color.g][0].m_error +
g_bc7_mode_6_optimal_endpoints[solid_color.b][0].m_error + g_bc7_mode_6_optimal_endpoints[solid_color.a][0].m_error;
uint32_t best_err1 = g_bc7_mode_6_optimal_endpoints[solid_color.r][1].m_error + g_bc7_mode_6_optimal_endpoints[solid_color.g][1].m_error +
g_bc7_mode_6_optimal_endpoints[solid_color.b][1].m_error + g_bc7_mode_6_optimal_endpoints[solid_color.a][1].m_error;
if (best_err0 > 0 && best_err1 > 0)
{
dst_blk.m_mode = 5;
for (uint32_t c = 0; c < 3; c++)
{
dst_blk.m_low[0].m_c[c] = g_bc7_mode_5_optimal_endpoints[solid_color.c[c]].m_lo;
dst_blk.m_high[0].m_c[c] = g_bc7_mode_5_optimal_endpoints[solid_color.c[c]].m_hi;
}
memset(dst_blk.m_selectors, BC7ENC_MODE_5_OPTIMAL_INDEX, 16);
dst_blk.m_low[0].m_c[3] = solid_color.c[3];
dst_blk.m_high[0].m_c[3] = solid_color.c[3];
//memset(dst_blk.m_alpha_selectors, 0, 16);
}
else
{
dst_blk.m_mode = 6;
uint32_t best_p = 0;
if (best_err1 < best_err0)
best_p = 1;
for (uint32_t c = 0; c < 4; c++)
{
dst_blk.m_low[0].m_c[c] = g_bc7_mode_6_optimal_endpoints[solid_color.c[c]][best_p].m_lo;
dst_blk.m_high[0].m_c[c] = g_bc7_mode_6_optimal_endpoints[solid_color.c[c]][best_p].m_hi;
}
dst_blk.m_pbits[0][0] = best_p;
dst_blk.m_pbits[0][1] = best_p;
memset(dst_blk.m_selectors, BC7ENC_MODE_6_OPTIMAL_INDEX, 16);
}
break;
}
case 9:
case 16:
{
// 9. DualPlane: 0, WeightRange : 2 (4), Subsets : 2, EndpointRange : 8 (16) - BC7 MODE7
// 16. DualPlane: 0, WeightRange: 2 (4), Subsets: 2, CEM: 4 (LA Direct), EndpointRange: 20 (256) - BC7 MODE7
dst_blk.m_mode = 7;
dst_blk.m_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_bc7;
const bool invert_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_invert;
for (uint32_t astc_subset = 0; astc_subset < 2; astc_subset++)
{
float xl[4], xh[4];
if (total_comps == 2)
{
xl[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0 + astc_subset * 4]].m_unquant / 255.0f;
xh[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1 + astc_subset * 4]].m_unquant / 255.0f;
xl[1] = xl[0];
xh[1] = xh[0];
xl[2] = xl[0];
xh[2] = xh[0];
xl[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2 + astc_subset * 4]].m_unquant / 255.0f;
xh[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3 + astc_subset * 4]].m_unquant / 255.0f;
}
else
{
xl[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0 + astc_subset * 8]].m_unquant / 255.0f;
xl[1] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2 + astc_subset * 8]].m_unquant / 255.0f;
xl[2] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[4 + astc_subset * 8]].m_unquant / 255.0f;
xl[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[6 + astc_subset * 8]].m_unquant / 255.0f;
xh[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1 + astc_subset * 8]].m_unquant / 255.0f;
xh[1] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3 + astc_subset * 8]].m_unquant / 255.0f;
xh[2] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[5 + astc_subset * 8]].m_unquant / 255.0f;
xh[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[7 + astc_subset * 8]].m_unquant / 255.0f;
}
uint32_t best_pbits[2] = { 0, 0 };
color_quad_u8 bestMinColor, bestMaxColor;
memset(&bestMinColor, 0, sizeof(bestMinColor));
memset(&bestMaxColor, 0, sizeof(bestMaxColor));
determine_unique_pbits(4, 5, xl, xh, bestMinColor, bestMaxColor, best_pbits);
const uint32_t bc7_subset_index = invert_partition ? (1 - astc_subset) : astc_subset;
dst_blk.m_low[bc7_subset_index] = bestMinColor;
dst_blk.m_high[bc7_subset_index] = bestMaxColor;
dst_blk.m_pbits[bc7_subset_index][0] = best_pbits[0];
dst_blk.m_pbits[bc7_subset_index][1] = best_pbits[1];
} // astc_subset
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
default:
return false;
}
return true;
}
bool transcode_uastc_to_bc7(const uastc_block& src_blk, bc7_optimization_results& dst_blk)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false, false))
return false;
return transcode_uastc_to_bc7(unpacked_src_blk, dst_blk);
}
bool transcode_uastc_to_bc7(const uastc_block& src_blk, void* pDst)
{
bc7_optimization_results temp;
if (!transcode_uastc_to_bc7(src_blk, temp))
return false;
encode_bc7_block(pDst, &temp);
return true;
}
color32 apply_etc1_bias(const color32 &block_color, uint32_t bias, uint32_t limit, uint32_t subblock)
{
color32 result;
for (uint32_t c = 0; c < 3; c++)
{
static const int s_divs[3] = { 1, 3, 9 };
int delta = 0;
switch (bias)
{
case 2: delta = subblock ? 0 : ((c == 0) ? -1 : 0); break;
case 5: delta = subblock ? 0 : ((c == 1) ? -1 : 0); break;
case 6: delta = subblock ? 0 : ((c == 2) ? -1 : 0); break;
case 7: delta = subblock ? 0 : ((c == 0) ? 1 : 0); break;
case 11: delta = subblock ? 0 : ((c == 1) ? 1 : 0); break;
case 15: delta = subblock ? 0 : ((c == 2) ? 1 : 0); break;
case 18: delta = subblock ? ((c == 0) ? -1 : 0) : 0; break;
case 19: delta = subblock ? ((c == 1) ? -1 : 0) : 0; break;
case 20: delta = subblock ? ((c == 2) ? -1 : 0) : 0; break;
case 21: delta = subblock ? ((c == 0) ? 1 : 0) : 0; break;
case 24: delta = subblock ? ((c == 1) ? 1 : 0) : 0; break;
case 8: delta = subblock ? ((c == 2) ? 1 : 0) : 0; break;
case 10: delta = -2; break;
case 27: delta = subblock ? 0 : -1; break;
case 28: delta = subblock ? -1 : 1; break;
case 29: delta = subblock ? 1 : 0; break;
case 30: delta = subblock ? -1 : 0; break;
case 31: delta = subblock ? 0 : 1; break;
default:
delta = ((bias / s_divs[c]) % 3) - 1;
break;
}
int v = block_color[c];
if (v == 0)
{
if (delta == -2)
v += 3;
else
v += delta + 1;
}
else if (v == (int)limit)
{
v += (delta - 1);
}
else
{
v += delta;
if ((v < 0) || (v > (int)limit))
v = (v - delta) - delta;
}
assert(v >= 0);
assert(v <= (int)limit);
result[c] = (uint8_t)v;
}
return result;
}
static void etc1_determine_selectors(decoder_etc_block& dst_blk, const color32* pSource_pixels, uint32_t first_subblock, uint32_t last_subblock)
{
static const uint8_t s_tran[4] = { 1, 0, 2, 3 };
uint16_t l_bitmask = 0;
uint16_t h_bitmask = 0;
for (uint32_t subblock = first_subblock; subblock < last_subblock; subblock++)
{
color32 block_colors[4];
dst_blk.get_block_colors(block_colors, subblock);
uint32_t block_y[4];
for (uint32_t i = 0; i < 4; i++)
block_y[i] = block_colors[i][0] * 54 + block_colors[i][1] * 183 + block_colors[i][2] * 19;
const uint32_t block_y01 = block_y[0] + block_y[1];
const uint32_t block_y12 = block_y[1] + block_y[2];
const uint32_t block_y23 = block_y[2] + block_y[3];
// X0 X0 X0 X0 X1 X1 X1 X1 X2 X2 X2 X2 X3 X3 X3 X3
// Y0 Y1 Y2 Y3 Y0 Y1 Y2 Y3 Y0 Y1 Y2 Y3 Y0 Y1 Y2 Y3
if (dst_blk.get_flip_bit())
{
uint32_t ofs = subblock * 2;
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const color32& c = pSource_pixels[x + (subblock * 2 + y) * 4];
const uint32_t l = c[0] * 108 + c[1] * 366 + c[2] * 38;
uint32_t t = s_tran[(l < block_y01) + (l < block_y12) + (l < block_y23)];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
ofs += 4;
}
ofs = (int)ofs + 1 - 4 * 4;
}
}
else
{
uint32_t ofs = (subblock * 2) * 4;
for (uint32_t x = 0; x < 2; x++)
{
for (uint32_t y = 0; y < 4; y++)
{
const color32& c = pSource_pixels[subblock * 2 + x + y * 4];
const uint32_t l = c[0] * 108 + c[1] * 366 + c[2] * 38;
uint32_t t = s_tran[(l < block_y01) + (l < block_y12) + (l < block_y23)];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
++ofs;
}
}
}
}
dst_blk.m_bytes[7] = (uint8_t)(l_bitmask);
dst_blk.m_bytes[6] = (uint8_t)(l_bitmask >> 8);
dst_blk.m_bytes[5] = (uint8_t)(h_bitmask);
dst_blk.m_bytes[4] = (uint8_t)(h_bitmask >> 8);
}
static const uint8_t s_etc1_solid_selectors[4][4] = { { 255, 255, 255, 255 }, { 255, 255, 0, 0 }, { 0, 0, 0, 0 }, {0, 0, 255, 255 } };
struct etc_coord2
{
uint8_t m_x, m_y;
};
// [flip][subblock][pixel_index]
const etc_coord2 g_etc1_pixel_coords[2][2][8] =
{
{
{
{ 0, 0 }, { 0, 1 }, { 0, 2 }, { 0, 3 },
{ 1, 0 }, { 1, 1 }, { 1, 2 }, { 1, 3 }
},
{
{ 2, 0 }, { 2, 1 }, { 2, 2 }, { 2, 3 },
{ 3, 0 }, { 3, 1 }, { 3, 2 }, { 3, 3 }
}
},
{
{
{ 0, 0 }, { 1, 0 }, { 2, 0 }, { 3, 0 },
{ 0, 1 }, { 1, 1 }, { 2, 1 }, { 3, 1 }
},
{
{ 0, 2 }, { 1, 2 }, { 2, 2 }, { 3, 2 },
{ 0, 3 }, { 1, 3 }, { 2, 3 }, { 3, 3 }
},
}
};
void transcode_uastc_to_etc1(unpacked_uastc_block& unpacked_src_blk, color32 block_pixels[4][4], void* pDst)
{
decoder_etc_block& dst_blk = *static_cast<decoder_etc_block*>(pDst);
if (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
dst_blk.m_bytes[3] = (uint8_t)((unpacked_src_blk.m_etc1_diff << 1) | (unpacked_src_blk.m_etc1_inten0 << 5) | (unpacked_src_blk.m_etc1_inten0 << 2));
if (unpacked_src_blk.m_etc1_diff)
{
dst_blk.m_bytes[0] = (uint8_t)(unpacked_src_blk.m_etc1_r << 3);
dst_blk.m_bytes[1] = (uint8_t)(unpacked_src_blk.m_etc1_g << 3);
dst_blk.m_bytes[2] = (uint8_t)(unpacked_src_blk.m_etc1_b << 3);
}
else
{
dst_blk.m_bytes[0] = (uint8_t)(unpacked_src_blk.m_etc1_r | (unpacked_src_blk.m_etc1_r << 4));
dst_blk.m_bytes[1] = (uint8_t)(unpacked_src_blk.m_etc1_g | (unpacked_src_blk.m_etc1_g << 4));
dst_blk.m_bytes[2] = (uint8_t)(unpacked_src_blk.m_etc1_b | (unpacked_src_blk.m_etc1_b << 4));
}
memcpy(dst_blk.m_bytes + 4, &s_etc1_solid_selectors[unpacked_src_blk.m_etc1_selector][0], 4);
return;
}
const bool flip = unpacked_src_blk.m_etc1_flip != 0;
const bool diff = unpacked_src_blk.m_etc1_diff != 0;
dst_blk.m_bytes[3] = (uint8_t)((int)flip | (diff << 1) | (unpacked_src_blk.m_etc1_inten0 << 5) | (unpacked_src_blk.m_etc1_inten1 << 2));
const uint32_t limit = diff ? 31 : 15;
color32 block_colors[2];
for (uint32_t subset = 0; subset < 2; subset++)
{
uint32_t avg_color[3];
memset(avg_color, 0, sizeof(avg_color));
for (uint32_t j = 0; j < 8; j++)
{
const etc_coord2& c = g_etc1_pixel_coords[flip][subset][j];
avg_color[0] += block_pixels[c.m_y][c.m_x].r;
avg_color[1] += block_pixels[c.m_y][c.m_x].g;
avg_color[2] += block_pixels[c.m_y][c.m_x].b;
} // j
block_colors[subset][0] = (uint8_t)((avg_color[0] * limit + 1020) / (8 * 255));
block_colors[subset][1] = (uint8_t)((avg_color[1] * limit + 1020) / (8 * 255));
block_colors[subset][2] = (uint8_t)((avg_color[2] * limit + 1020) / (8 * 255));
block_colors[subset][3] = 0;
if (g_uastc_mode_has_etc1_bias[unpacked_src_blk.m_mode])
{
block_colors[subset] = apply_etc1_bias(block_colors[subset], unpacked_src_blk.m_etc1_bias, limit, subset);
}
} // subset
if (diff)
{
int dr = block_colors[1].r - block_colors[0].r;
int dg = block_colors[1].g - block_colors[0].g;
int db = block_colors[1].b - block_colors[0].b;
dr = basisu::clamp<int>(dr, cETC1ColorDeltaMin, cETC1ColorDeltaMax);
dg = basisu::clamp<int>(dg, cETC1ColorDeltaMin, cETC1ColorDeltaMax);
db = basisu::clamp<int>(db, cETC1ColorDeltaMin, cETC1ColorDeltaMax);
if (dr < 0) dr += 8;
if (dg < 0) dg += 8;
if (db < 0) db += 8;
dst_blk.m_bytes[0] = (uint8_t)((block_colors[0].r << 3) | dr);
dst_blk.m_bytes[1] = (uint8_t)((block_colors[0].g << 3) | dg);
dst_blk.m_bytes[2] = (uint8_t)((block_colors[0].b << 3) | db);
}
else
{
dst_blk.m_bytes[0] = (uint8_t)(block_colors[1].r | (block_colors[0].r << 4));
dst_blk.m_bytes[1] = (uint8_t)(block_colors[1].g | (block_colors[0].g << 4));
dst_blk.m_bytes[2] = (uint8_t)(block_colors[1].b | (block_colors[0].b << 4));
}
etc1_determine_selectors(dst_blk, &block_pixels[0][0], 0, 2);
}
bool transcode_uastc_to_etc1(const uastc_block& src_blk, void* pDst)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
color32 block_pixels[4][4];
if (unpacked_src_blk.m_mode != UASTC_MODE_INDEX_SOLID_COLOR)
{
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
}
transcode_uastc_to_etc1(unpacked_src_blk, block_pixels, pDst);
return true;
}
static inline int gray_distance2(const uint8_t c, int y)
{
int gray_dist = (int)c - y;
return gray_dist * gray_dist;
}
static bool pack_etc1_y_estimate_flipped(const uint8_t* pSrc_pixels,
int& upper_avg, int& lower_avg, int& left_avg, int& right_avg)
{
int sums[2][2];
#define GET_XY(x, y) pSrc_pixels[(x) + ((y) * 4)]
sums[0][0] = GET_XY(0, 0) + GET_XY(0, 1) + GET_XY(1, 0) + GET_XY(1, 1);
sums[1][0] = GET_XY(2, 0) + GET_XY(2, 1) + GET_XY(3, 0) + GET_XY(3, 1);
sums[0][1] = GET_XY(0, 2) + GET_XY(0, 3) + GET_XY(1, 2) + GET_XY(1, 3);
sums[1][1] = GET_XY(2, 2) + GET_XY(2, 3) + GET_XY(3, 2) + GET_XY(3, 3);
upper_avg = (sums[0][0] + sums[1][0] + 4) / 8;
lower_avg = (sums[0][1] + sums[1][1] + 4) / 8;
left_avg = (sums[0][0] + sums[0][1] + 4) / 8;
right_avg = (sums[1][0] + sums[1][1] + 4) / 8;
#undef GET_XY
#define GET_XY(x, y, a) gray_distance2(pSrc_pixels[(x) + ((y) * 4)], a)
int upper_gray_dist = 0, lower_gray_dist = 0, left_gray_dist = 0, right_gray_dist = 0;
for (uint32_t i = 0; i < 4; i++)
{
for (uint32_t j = 0; j < 2; j++)
{
upper_gray_dist += GET_XY(i, j, upper_avg);
lower_gray_dist += GET_XY(i, 2 + j, lower_avg);
left_gray_dist += GET_XY(j, i, left_avg);
right_gray_dist += GET_XY(2 + j, i, right_avg);
}
}
#undef GET_XY
int upper_lower_sum = upper_gray_dist + lower_gray_dist;
int left_right_sum = left_gray_dist + right_gray_dist;
return upper_lower_sum < left_right_sum;
}
// Base Sel Table
// XXXXX XX XXX
static const uint16_t g_etc1_y_solid_block_configs[256] =
{
0,781,64,161,260,192,33,131,96,320,65,162,261,193,34,291,97,224,66,163,262,194,35,549,98,4,67,653,164,195,523,36,99,5,578,68,165,353,196,37,135,100,324,69,166,354,197,38,295,101,228,70,167,
355,198,39,553,102,8,71,608,168,199,527,40,103,9,582,72,169,357,200,41,139,104,328,73,170,358,201,42,299,105,232,74,171,359,202,43,557,106,12,75,612,172,203,531,44,107,13,586,76,173,361,
204,45,143,108,332,77,174,362,205,46,303,109,236,78,175,363,206,47,561,110,16,79,616,176,207,535,48,111,17,590,80,177,365,208,49,147,112,336,81,178,366,209,50,307,113,240,82,179,367,210,
51,565,114,20,83,620,180,211,539,52,115,21,594,84,181,369,212,53,151,116,340,85,182,370,213,54,311,117,244,86,183,371,214,55,569,118,24,87,624,184,215,543,56,119,25,598,88,185,373,216,57,
155,120,344,89,186,374,217,58,315,121,248,90,187,375,218,59,573,122,28,91,628,188,219,754,60,123,29,602,92,189,377,220,61,159,124,348,93,190,378,221,62,319,125,252,94,191,379,222,63,882,126
};
// individual
// table base sel0 sel1 sel2 sel3
static const uint16_t g_etc1_y_solid_block_4i_configs[256] =
{
0xA000,0xA800,0x540B,0xAA01,0xAA01,0xFE00,0xFF00,0xFF00,0x8,0x5515,0x5509,0x5509,0xAA03,0x5508,0x5508,0x9508,0xA508,0xA908,0xAA08,0x5513,0xAA09,0xAA09,0xAA05,0xFF08,0xFF08,0x10,0x551D,0x5511,0x5511,
0xAA0B,0x5510,0x5510,0x9510,0xA510,0xA910,0xAA10,0x551B,0xAA11,0xAA11,0xAA0D,0xFF10,0xFF10,0x18,0x5525,0x5519,0x5519,0xAA13,0x5518,0x5518,0x9518,0xA518,0xA918,0xAA18,0x5523,0xAA19,0xAA19,0xAA15,
0xFF18,0xFF18,0x20,0x552D,0x5521,0x5521,0xAA1B,0x5520,0x5520,0x9520,0xA520,0xA920,0xAA20,0x552B,0xAA21,0xAA21,0xAA1D,0xFF20,0xFF20,0x28,0x5535,0x5529,0x5529,0xAA23,0x5528,0x5528,0x9528,0xA528,0xA928,
0xAA28,0x5533,0xAA29,0xAA29,0xAA25,0xFF28,0xFF28,0x30,0x553D,0x5531,0x5531,0xAA2B,0x5530,0x5530,0x9530,0xA530,0xA930,0xAA30,0x553B,0xAA31,0xAA31,0xAA2D,0xFF30,0xFF30,0x38,0x5545,0x5539,0x5539,0xAA33,
0x5538,0x5538,0x9538,0xA538,0xA938,0xAA38,0x5543,0xAA39,0xAA39,0xAA35,0xFF38,0xFF38,0x40,0x554D,0x5541,0x5541,0xAA3B,0x5540,0x5540,0x9540,0xA540,0xA940,0xAA40,0x554B,0xAA41,0xAA41,0xAA3D,0xFF40,0xFF40,
0x48,0x5555,0x5549,0x5549,0xAA43,0x5548,0x5548,0x9548,0xA548,0xA948,0xAA48,0x5553,0xAA49,0xAA49,0xAA45,0xFF48,0xFF48,0x50,0x555D,0x5551,0x5551,0xAA4B,0x5550,0x5550,0x9550,0xA550,0xA950,0xAA50,0x555B,
0xAA51,0xAA51,0xAA4D,0xFF50,0xFF50,0x58,0x5565,0x5559,0x5559,0xAA53,0x5558,0x5558,0x9558,0xA558,0xA958,0xAA58,0x5563,0xAA59,0xAA59,0xAA55,0xFF58,0xFF58,0x60,0x556D,0x5561,0x5561,0xAA5B,0x5560,0x5560,
0x9560,0xA560,0xA960,0xAA60,0x556B,0xAA61,0xAA61,0xAA5D,0xFF60,0xFF60,0x68,0x5575,0x5569,0x5569,0xAA63,0x5568,0x5568,0x9568,0xA568,0xA968,0xAA68,0x5573,0xAA69,0xAA69,0xAA65,0xFF68,0xFF68,0x70,0x557D,
0x5571,0x5571,0xAA6B,0x5570,0x5570,0x9570,0xA570,0xA970,0xAA70,0x557B,0xAA71,0xAA71,0xAA6D,0xFF70,0xFF70,0x78,0x78,0x5579,0x5579,0xAA73,0x5578,0x9578,0x2578,0xE6E,0x278
};
static const uint16_t g_etc1_y_solid_block_2i_configs[256] =
{
0x416,0x800,0xA00,0x50B,0xA01,0xA01,0xF00,0xF00,0xF00,0x8,0x515,0x509,0x509,0xA03,0x508,0x508,0xF01,0xF01,0xA08,0xA08,0x513,0xA09,0xA09,0xA05,0xF08,0xF08,0x10,0x51D,0x511,0x511,0xA0B,0x510,0x510,0xF09,
0xF09,0xA10,0xA10,0x51B,0xA11,0xA11,0xA0D,0xF10,0xF10,0x18,0x525,0x519,0x519,0xA13,0x518,0x518,0xF11,0xF11,0xA18,0xA18,0x523,0xA19,0xA19,0xA15,0xF18,0xF18,0x20,0x52D,0x521,0x521,0xA1B,0x520,0x520,0xF19,
0xF19,0xA20,0xA20,0x52B,0xA21,0xA21,0xA1D,0xF20,0xF20,0x28,0x535,0x529,0x529,0xA23,0x528,0x528,0xF21,0xF21,0xA28,0xA28,0x533,0xA29,0xA29,0xA25,0xF28,0xF28,0x30,0x53D,0x531,0x531,0xA2B,0x530,0x530,0xF29,
0xF29,0xA30,0xA30,0x53B,0xA31,0xA31,0xA2D,0xF30,0xF30,0x38,0x545,0x539,0x539,0xA33,0x538,0x538,0xF31,0xF31,0xA38,0xA38,0x543,0xA39,0xA39,0xA35,0xF38,0xF38,0x40,0x54D,0x541,0x541,0xA3B,0x540,0x540,0xF39,
0xF39,0xA40,0xA40,0x54B,0xA41,0xA41,0xA3D,0xF40,0xF40,0x48,0x555,0x549,0x549,0xA43,0x548,0x548,0xF41,0xF41,0xA48,0xA48,0x553,0xA49,0xA49,0xA45,0xF48,0xF48,0x50,0x55D,0x551,0x551,0xA4B,0x550,0x550,0xF49,
0xF49,0xA50,0xA50,0x55B,0xA51,0xA51,0xA4D,0xF50,0xF50,0x58,0x565,0x559,0x559,0xA53,0x558,0x558,0xF51,0xF51,0xA58,0xA58,0x563,0xA59,0xA59,0xA55,0xF58,0xF58,0x60,0x56D,0x561,0x561,0xA5B,0x560,0x560,0xF59,
0xF59,0xA60,0xA60,0x56B,0xA61,0xA61,0xA5D,0xF60,0xF60,0x68,0x575,0x569,0x569,0xA63,0x568,0x568,0xF61,0xF61,0xA68,0xA68,0x573,0xA69,0xA69,0xA65,0xF68,0xF68,0x70,0x57D,0x571,0x571,0xA6B,0x570,0x570,0xF69,
0xF69,0xA70,0xA70,0x57B,0xA71,0xA71,0xA6D,0xF70,0xF70,0x78,0x78,0x579,0x579,0xA73,0x578,0x578,0xE6E,0x278
};
static const uint16_t g_etc1_y_solid_block_1i_configs[256] =
{
0x0,0x116,0x200,0x200,0x10B,0x201,0x201,0x300,0x300,0x8,0x115,0x109,0x109,0x203,0x108,0x108,0x114,0x301,0x204,0x208,0x208,0x113,0x209,0x209,0x205,0x308,0x10,0x11D,0x111,0x111,0x20B,0x110,0x110,0x11C,0x309,
0x20C,0x210,0x210,0x11B,0x211,0x211,0x20D,0x310,0x18,0x125,0x119,0x119,0x213,0x118,0x118,0x124,0x311,0x214,0x218,0x218,0x123,0x219,0x219,0x215,0x318,0x20,0x12D,0x121,0x121,0x21B,0x120,0x120,0x12C,0x319,0x21C,
0x220,0x220,0x12B,0x221,0x221,0x21D,0x320,0x28,0x135,0x129,0x129,0x223,0x128,0x128,0x134,0x321,0x224,0x228,0x228,0x133,0x229,0x229,0x225,0x328,0x30,0x13D,0x131,0x131,0x22B,0x130,0x130,0x13C,0x329,0x22C,0x230,
0x230,0x13B,0x231,0x231,0x22D,0x330,0x38,0x145,0x139,0x139,0x233,0x138,0x138,0x144,0x331,0x234,0x238,0x238,0x143,0x239,0x239,0x235,0x338,0x40,0x14D,0x141,0x141,0x23B,0x140,0x140,0x14C,0x339,0x23C,0x240,0x240,
0x14B,0x241,0x241,0x23D,0x340,0x48,0x155,0x149,0x149,0x243,0x148,0x148,0x154,0x341,0x244,0x248,0x248,0x153,0x249,0x249,0x245,0x348,0x50,0x15D,0x151,0x151,0x24B,0x150,0x150,0x15C,0x349,0x24C,0x250,0x250,0x15B,
0x251,0x251,0x24D,0x350,0x58,0x165,0x159,0x159,0x253,0x158,0x158,0x164,0x351,0x254,0x258,0x258,0x163,0x259,0x259,0x255,0x358,0x60,0x16D,0x161,0x161,0x25B,0x160,0x160,0x16C,0x359,0x25C,0x260,0x260,0x16B,0x261,
0x261,0x25D,0x360,0x68,0x175,0x169,0x169,0x263,0x168,0x168,0x174,0x361,0x264,0x268,0x268,0x173,0x269,0x269,0x265,0x368,0x70,0x17D,0x171,0x171,0x26B,0x170,0x170,0x17C,0x369,0x26C,0x270,0x270,0x17B,0x271,0x271,
0x26D,0x370,0x78,0x78,0x179,0x179,0x273,0x178,0x178,0x26E,0x278
};
// We don't have any useful hints to accelerate single channel ETC1, so we need to real-time encode from scratch.
bool transcode_uastc_to_etc1(const uastc_block& src_blk, void* pDst, uint32_t channel)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
#if 0
for (uint32_t individ = 0; individ < 2; individ++)
{
uint32_t overall_error = 0;
for (uint32_t c = 0; c < 256; c++)
{
uint32_t best_err = UINT32_MAX;
uint32_t best_individ = 0;
uint32_t best_base = 0;
uint32_t best_sels[4] = { 0,0,0,0 };
uint32_t best_table = 0;
const uint32_t limit = individ ? 16 : 32;
for (uint32_t table = 0; table < 8; table++)
{
for (uint32_t base = 0; base < limit; base++)
{
uint32_t total_e = 0;
uint32_t sels[4] = { 0,0,0,0 };
const uint32_t N = 4;
for (uint32_t i = 0; i < std::min<uint32_t>(N, (256 - c)); i++)
{
uint32_t best_sel_e = UINT32_MAX;
uint32_t best_sel = 0;
for (uint32_t sel = 0; sel < 4; sel++)
{
int val = individ ? ((base << 4) | base) : ((base << 3) | (base >> 2));
val = clamp255(val + g_etc1_inten_tables[table][sel]);
int e = iabs(val - clamp255(c + i));
if (e < best_sel_e)
{
best_sel_e = e;
best_sel = sel;
}
} // sel
sels[i] = best_sel;
total_e += best_sel_e * best_sel_e;
} // i
if (total_e < best_err)
{
best_err = total_e;
best_individ = individ;
best_base = base;
memcpy(best_sels, sels, sizeof(best_sels));
best_table = table;
}
} // base
} // table
//printf("%u: %u,%u,%u,%u,%u,%u,%u,%u\n", c, best_err, best_individ, best_table, best_base, best_sels[0], best_sels[1], best_sels[2], best_sels[3]);
uint32_t encoded = best_table | (best_base << 3) |
(best_sels[0] << 8) |
(best_sels[1] << 10) |
(best_sels[2] << 12) |
(best_sels[3] << 14);
printf("0x%X,", encoded);
overall_error += best_err;
} // c
printf("\n");
printf("Overall error: %u\n", overall_error);
} // individ
exit(0);
#endif
#if 0
for (uint32_t individ = 0; individ < 2; individ++)
{
uint32_t overall_error = 0;
for (uint32_t c = 0; c < 256; c++)
{
uint32_t best_err = UINT32_MAX;
uint32_t best_individ = 0;
uint32_t best_base = 0;
uint32_t best_sels[4] = { 0,0,0,0 };
uint32_t best_table = 0;
const uint32_t limit = individ ? 16 : 32;
for (uint32_t table = 0; table < 8; table++)
{
for (uint32_t base = 0; base < limit; base++)
{
uint32_t total_e = 0;
uint32_t sels[4] = { 0,0,0,0 };
const uint32_t N = 1;
for (uint32_t i = 0; i < std::min<uint32_t>(N, (256 - c)); i++)
{
uint32_t best_sel_e = UINT32_MAX;
uint32_t best_sel = 0;
for (uint32_t sel = 0; sel < 4; sel++)
{
int val = individ ? ((base << 4) | base) : ((base << 3) | (base >> 2));
val = clamp255(val + g_etc1_inten_tables[table][sel]);
int e = iabs(val - clamp255(c + i));
if (e < best_sel_e)
{
best_sel_e = e;
best_sel = sel;
}
} // sel
sels[i] = best_sel;
total_e += best_sel_e * best_sel_e;
} // i
if (total_e < best_err)
{
best_err = total_e;
best_individ = individ;
best_base = base;
memcpy(best_sels, sels, sizeof(best_sels));
best_table = table;
}
} // base
} // table
//printf("%u: %u,%u,%u,%u,%u,%u,%u,%u\n", c, best_err, best_individ, best_table, best_base, best_sels[0], best_sels[1], best_sels[2], best_sels[3]);
uint32_t encoded = best_table | (best_base << 3) |
(best_sels[0] << 8) |
(best_sels[1] << 10) |
(best_sels[2] << 12) |
(best_sels[3] << 14);
printf("0x%X,", encoded);
overall_error += best_err;
} // c
printf("\n");
printf("Overall error: %u\n", overall_error);
} // individ
exit(0);
#endif
decoder_etc_block& dst_blk = *static_cast<decoder_etc_block*>(pDst);
if (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
const uint32_t y = unpacked_src_blk.m_solid_color[channel];
const uint32_t encoded_config = g_etc1_y_solid_block_configs[y];
const uint32_t base = encoded_config & 31;
const uint32_t sel = (encoded_config >> 5) & 3;
const uint32_t table = encoded_config >> 7;
dst_blk.m_bytes[3] = (uint8_t)(2 | (table << 5) | (table << 2));
dst_blk.m_bytes[0] = (uint8_t)(base << 3);
dst_blk.m_bytes[1] = (uint8_t)(base << 3);
dst_blk.m_bytes[2] = (uint8_t)(base << 3);
memcpy(dst_blk.m_bytes + 4, &s_etc1_solid_selectors[sel][0], 4);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
uint8_t block_y[4][4];
for (uint32_t i = 0; i < 16; i++)
((uint8_t*)block_y)[i] = ((color32*)block_pixels)[i][channel];
int upper_avg, lower_avg, left_avg, right_avg;
bool flip = pack_etc1_y_estimate_flipped(&block_y[0][0], upper_avg, lower_avg, left_avg, right_avg);
// non-flipped: | |
// vs.
// flipped: --
// --
uint32_t low[2] = { 255, 255 }, high[2] = { 0, 0 };
if (flip)
{
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t v = block_y[y][x];
low[0] = std::min(low[0], v);
high[0] = std::max(high[0], v);
}
}
for (uint32_t y = 2; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t v = block_y[y][x];
low[1] = std::min(low[1], v);
high[1] = std::max(high[1], v);
}
}
}
else
{
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 2; x++)
{
const uint32_t v = block_y[y][x];
low[0] = std::min(low[0], v);
high[0] = std::max(high[0], v);
}
}
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 2; x < 4; x++)
{
const uint32_t v = block_y[y][x];
low[1] = std::min(low[1], v);
high[1] = std::max(high[1], v);
}
}
}
const uint32_t range[2] = { high[0] - low[0], high[1] - low[1] };
dst_blk.m_bytes[3] = (uint8_t)((int)flip);
if ((range[0] <= 3) && (range[1] <= 3))
{
// This is primarily for better gradients.
dst_blk.m_bytes[0] = 0;
dst_blk.m_bytes[1] = 0;
dst_blk.m_bytes[2] = 0;
uint16_t l_bitmask = 0, h_bitmask = 0;
for (uint32_t subblock = 0; subblock < 2; subblock++)
{
const uint32_t encoded = (range[subblock] == 0) ? g_etc1_y_solid_block_1i_configs[low[subblock]] : ((range[subblock] < 2) ? g_etc1_y_solid_block_2i_configs[low[subblock]] : g_etc1_y_solid_block_4i_configs[low[subblock]]);
const uint32_t table = encoded & 7;
const uint32_t base = (encoded >> 3) & 31;
assert(base <= 15);
const uint32_t sels[4] = { (encoded >> 8) & 3, (encoded >> 10) & 3, (encoded >> 12) & 3, (encoded >> 14) & 3 };
dst_blk.m_bytes[3] |= (uint8_t)(table << (subblock ? 2 : 5));
const uint32_t sv = base << (subblock ? 0 : 4);
dst_blk.m_bytes[0] |= (uint8_t)(sv);
dst_blk.m_bytes[1] |= (uint8_t)(sv);
dst_blk.m_bytes[2] |= (uint8_t)(sv);
if (flip)
{
uint32_t ofs = subblock * 2;
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t t = block_y[y + subblock * 2][x];
assert(t >= low[subblock] && t <= high[subblock]);
t -= low[subblock];
assert(t <= 3);
t = g_selector_index_to_etc1[sels[t]];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
ofs += 4;
}
ofs = (int)ofs + 1 - 4 * 4;
}
}
else
{
uint32_t ofs = (subblock * 2) * 4;
for (uint32_t x = 0; x < 2; x++)
{
for (uint32_t y = 0; y < 4; y++)
{
uint32_t t = block_y[y][x + subblock * 2];
assert(t >= low[subblock] && t <= high[subblock]);
t -= low[subblock];
assert(t <= 3);
t = g_selector_index_to_etc1[sels[t]];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
++ofs;
}
}
}
} // subblock
dst_blk.m_bytes[7] = (uint8_t)(l_bitmask);
dst_blk.m_bytes[6] = (uint8_t)(l_bitmask >> 8);
dst_blk.m_bytes[5] = (uint8_t)(h_bitmask);
dst_blk.m_bytes[4] = (uint8_t)(h_bitmask >> 8);
return true;
}
uint32_t y0 = ((flip ? upper_avg : left_avg) * 31 + 127) / 255;
uint32_t y1 = ((flip ? lower_avg : right_avg) * 31 + 127) / 255;
bool diff = true;
int dy = y1 - y0;
if ((dy < cETC1ColorDeltaMin) || (dy > cETC1ColorDeltaMax))
{
diff = false;
y0 = ((flip ? upper_avg : left_avg) * 15 + 127) / 255;
y1 = ((flip ? lower_avg : right_avg) * 15 + 127) / 255;
dst_blk.m_bytes[0] = (uint8_t)(y1 | (y0 << 4));
dst_blk.m_bytes[1] = (uint8_t)(y1 | (y0 << 4));
dst_blk.m_bytes[2] = (uint8_t)(y1 | (y0 << 4));
}
else
{
dy = basisu::clamp<int>(dy, cETC1ColorDeltaMin, cETC1ColorDeltaMax);
y1 = y0 + dy;
if (dy < 0) dy += 8;
dst_blk.m_bytes[0] = (uint8_t)((y0 << 3) | dy);
dst_blk.m_bytes[1] = (uint8_t)((y0 << 3) | dy);
dst_blk.m_bytes[2] = (uint8_t)((y0 << 3) | dy);
dst_blk.m_bytes[3] |= 2;
}
const uint32_t base_y[2] = { diff ? ((y0 << 3) | (y0 >> 2)) : ((y0 << 4) | y0), diff ? ((y1 << 3) | (y1 >> 2)) : ((y1 << 4) | y1) };
uint32_t enc_range[2];
for (uint32_t subset = 0; subset < 2; subset++)
{
const int pos = basisu::iabs((int)high[subset] - (int)base_y[subset]);
const int neg = basisu::iabs((int)base_y[subset] - (int)low[subset]);
enc_range[subset] = basisu::maximum(pos, neg);
}
uint16_t l_bitmask = 0, h_bitmask = 0;
for (uint32_t subblock = 0; subblock < 2; subblock++)
{
if ((!diff) && (range[subblock] <= 3))
{
const uint32_t encoded = (range[subblock] == 0) ? g_etc1_y_solid_block_1i_configs[low[subblock]] : ((range[subblock] < 2) ? g_etc1_y_solid_block_2i_configs[low[subblock]] : g_etc1_y_solid_block_4i_configs[low[subblock]]);
const uint32_t table = encoded & 7;
const uint32_t base = (encoded >> 3) & 31;
assert(base <= 15);
const uint32_t sels[4] = { (encoded >> 8) & 3, (encoded >> 10) & 3, (encoded >> 12) & 3, (encoded >> 14) & 3 };
dst_blk.m_bytes[3] |= (uint8_t)(table << (subblock ? 2 : 5));
const uint32_t mask = ~(0xF << (subblock ? 0 : 4));
dst_blk.m_bytes[0] &= mask;
dst_blk.m_bytes[1] &= mask;
dst_blk.m_bytes[2] &= mask;
const uint32_t sv = base << (subblock ? 0 : 4);
dst_blk.m_bytes[0] |= (uint8_t)(sv);
dst_blk.m_bytes[1] |= (uint8_t)(sv);
dst_blk.m_bytes[2] |= (uint8_t)(sv);
if (flip)
{
uint32_t ofs = subblock * 2;
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t t = block_y[y + subblock * 2][x];
assert(t >= low[subblock] && t <= high[subblock]);
t -= low[subblock];
assert(t <= 3);
t = g_selector_index_to_etc1[sels[t]];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
ofs += 4;
}
ofs = (int)ofs + 1 - 4 * 4;
}
}
else
{
uint32_t ofs = (subblock * 2) * 4;
for (uint32_t x = 0; x < 2; x++)
{
for (uint32_t y = 0; y < 4; y++)
{
uint32_t t = block_y[y][x + subblock * 2];
assert(t >= low[subblock] && t <= high[subblock]);
t -= low[subblock];
assert(t <= 3);
t = g_selector_index_to_etc1[sels[t]];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
++ofs;
}
}
}
continue;
} // if
uint32_t best_err = UINT32_MAX;
uint8_t best_sels[8];
uint32_t best_inten = 0;
const int base = base_y[subblock];
const int low_limit = -base;
const int high_limit = 255 - base;
assert(low_limit <= 0 && high_limit >= 0);
uint32_t inten_table_mask = 0xFF;
const uint32_t er = enc_range[subblock];
// Each one of these tables is expensive to evaluate, so let's only examine the ones we know may be useful.
if (er <= 51)
{
inten_table_mask = 0xF;
if (er > 22)
inten_table_mask &= ~(1 << 0);
if ((er < 4) || (er > 39))
inten_table_mask &= ~(1 << 1);
if (er < 9)
inten_table_mask &= ~(1 << 2);
if (er < 12)
inten_table_mask &= ~(1 << 3);
}
else
{
inten_table_mask &= ~((1 << 0) | (1 << 1));
if (er > 60)
inten_table_mask &= ~(1 << 2);
if (er > 89)
inten_table_mask &= ~(1 << 3);
if (er > 120)
inten_table_mask &= ~(1 << 4);
if (er > 136)
inten_table_mask &= ~(1 << 5);
if (er > 174)
inten_table_mask &= ~(1 << 6);
}
for (uint32_t inten = 0; inten < 8; inten++)
{
if ((inten_table_mask & (1 << inten)) == 0)
continue;
const int t0 = std::max(low_limit, g_etc1_inten_tables[inten][0]);
const int t1 = std::max(low_limit, g_etc1_inten_tables[inten][1]);
const int t2 = std::min(high_limit, g_etc1_inten_tables[inten][2]);
const int t3 = std::min(high_limit, g_etc1_inten_tables[inten][3]);
assert((t0 <= t1) && (t1 <= t2) && (t2 <= t3));
const int tv[4] = { t2, t3, t1, t0 };
const int thresh01 = t0 + t1;
const int thresh12 = t1 + t2;
const int thresh23 = t2 + t3;
assert(thresh01 <= thresh12 && thresh12 <= thresh23);
static const uint8_t s_table[4] = { 1, 0, 2, 3 };
uint32_t total_err = 0;
uint8_t sels[8];
if (flip)
{
if (((int)high[subblock] - base) * 2 < thresh01)
{
memset(sels, 3, 8);
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const int delta = (int)block_y[y + subblock * 2][x] - base;
const uint32_t c = 3;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
else if (((int)low[subblock] - base) * 2 >= thresh23)
{
memset(sels, 1, 8);
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const int delta = (int)block_y[y + subblock * 2][x] - base;
const uint32_t c = 1;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
else
{
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const int delta = (int)block_y[y + subblock * 2][x] - base;
const int delta2 = delta * 2;
uint32_t c = s_table[(delta2 < thresh01) + (delta2 < thresh12) + (delta2 < thresh23)];
sels[y * 4 + x] = (uint8_t)c;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
}
else
{
if (((int)high[subblock] - base) * 2 < thresh01)
{
memset(sels, 3, 8);
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 2; x++)
{
const int delta = (int)block_y[y][x + subblock * 2] - base;
const uint32_t c = 3;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
else if (((int)low[subblock] - base) * 2 >= thresh23)
{
memset(sels, 1, 8);
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 2; x++)
{
const int delta = (int)block_y[y][x + subblock * 2] - base;
const uint32_t c = 1;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
else
{
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 2; x++)
{
const int delta = (int)block_y[y][x + subblock * 2] - base;
const int delta2 = delta * 2;
uint32_t c = s_table[(delta2 < thresh01) + (delta2 < thresh12) + (delta2 < thresh23)];
sels[y * 2 + x] = (uint8_t)c;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
}
if (total_err < best_err)
{
best_err = total_err;
best_inten = inten;
memcpy(best_sels, sels, 8);
}
} // inten
//g_inten_hist[best_inten][enc_range[subblock]]++;
dst_blk.m_bytes[3] |= (uint8_t)(best_inten << (subblock ? 2 : 5));
if (flip)
{
uint32_t ofs = subblock * 2;
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t t = best_sels[y * 4 + x];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
ofs += 4;
}
ofs = (int)ofs + 1 - 4 * 4;
}
}
else
{
uint32_t ofs = (subblock * 2) * 4;
for (uint32_t x = 0; x < 2; x++)
{
for (uint32_t y = 0; y < 4; y++)
{
uint32_t t = best_sels[y * 2 + x];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
++ofs;
}
}
}
} // subblock
dst_blk.m_bytes[7] = (uint8_t)(l_bitmask);
dst_blk.m_bytes[6] = (uint8_t)(l_bitmask >> 8);
dst_blk.m_bytes[5] = (uint8_t)(h_bitmask);
dst_blk.m_bytes[4] = (uint8_t)(h_bitmask >> 8);
return true;
}
const uint32_t ETC2_EAC_MIN_VALUE_SELECTOR = 3, ETC2_EAC_MAX_VALUE_SELECTOR = 7;
void transcode_uastc_to_etc2_eac_a8(unpacked_uastc_block& unpacked_src_blk, color32 block_pixels[4][4], void* pDst)
{
eac_block& dst = *static_cast<eac_block*>(pDst);
const color32* pSrc_pixels = &block_pixels[0][0];
if ((!g_uastc_mode_has_alpha[unpacked_src_blk.m_mode]) || (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR))
{
const uint32_t a = (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR) ? unpacked_src_blk.m_solid_color[3] : 255;
dst.m_base = a;
dst.m_table = 13;
dst.m_multiplier = 1;
memcpy(dst.m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
return;
}
uint32_t min_a = 255, max_a = 0;
for (uint32_t i = 0; i < 16; i++)
{
min_a = std::min<uint32_t>(min_a, pSrc_pixels[i].a);
max_a = std::max<uint32_t>(max_a, pSrc_pixels[i].a);
}
if (min_a == max_a)
{
dst.m_base = min_a;
dst.m_table = 13;
dst.m_multiplier = 1;
memcpy(dst.m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
return;
}
const uint32_t table = unpacked_src_blk.m_etc2_hints & 0xF;
const int multiplier = unpacked_src_blk.m_etc2_hints >> 4;
assert(multiplier >= 1);
dst.m_multiplier = multiplier;
dst.m_table = table;
const float range = (float)(g_eac_modifier_table[dst.m_table][ETC2_EAC_MAX_VALUE_SELECTOR] - g_eac_modifier_table[dst.m_table][ETC2_EAC_MIN_VALUE_SELECTOR]);
const int center = (int)roundf(basisu::lerp((float)min_a, (float)max_a, (float)(0 - g_eac_modifier_table[dst.m_table][ETC2_EAC_MIN_VALUE_SELECTOR]) / range));
dst.m_base = center;
const int8_t* pTable = &g_eac_modifier_table[dst.m_table][0];
uint32_t vals[8];
for (uint32_t j = 0; j < 8; j++)
vals[j] = clamp255(center + (pTable[j] * multiplier));
uint64_t sels = 0;
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t a = block_pixels[i & 3][i >> 2].a;
const uint32_t err0 = (basisu::iabs(vals[0] - a) << 3) | 0;
const uint32_t err1 = (basisu::iabs(vals[1] - a) << 3) | 1;
const uint32_t err2 = (basisu::iabs(vals[2] - a) << 3) | 2;
const uint32_t err3 = (basisu::iabs(vals[3] - a) << 3) | 3;
const uint32_t err4 = (basisu::iabs(vals[4] - a) << 3) | 4;
const uint32_t err5 = (basisu::iabs(vals[5] - a) << 3) | 5;
const uint32_t err6 = (basisu::iabs(vals[6] - a) << 3) | 6;
const uint32_t err7 = (basisu::iabs(vals[7] - a) << 3) | 7;
const uint32_t min_err = basisu::minimum(basisu::minimum(basisu::minimum(basisu::minimum(basisu::minimum(basisu::minimum(err0, err1, err2), err3), err4), err5), err6), err7);
const uint64_t best_index = min_err & 7;
sels |= (best_index << (45 - i * 3));
}
dst.set_selector_bits(sels);
}
bool transcode_uastc_to_etc2_rgba(const uastc_block& src_blk, void* pDst)
{
eac_block& dst_etc2_eac_a8_blk = *static_cast<eac_block*>(pDst);
decoder_etc_block& dst_etc1_blk = static_cast<decoder_etc_block*>(pDst)[1];
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
color32 block_pixels[4][4];
if (unpacked_src_blk.m_mode != UASTC_MODE_INDEX_SOLID_COLOR)
{
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
}
transcode_uastc_to_etc2_eac_a8(unpacked_src_blk, block_pixels, &dst_etc2_eac_a8_blk);
transcode_uastc_to_etc1(unpacked_src_blk, block_pixels, &dst_etc1_blk);
return true;
}
static const uint8_t s_uastc5_to_bc1[32] = { 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1 };
static const uint8_t s_uastc4_to_bc1[16] = { 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 1, 1, 1 };
static const uint8_t s_uastc3_to_bc1[8] = { 0, 0, 2, 2, 3, 3, 1, 1 };
static const uint8_t s_uastc2_to_bc1[4] = { 0, 2, 3, 1 };
static const uint8_t s_uastc1_to_bc1[2] = { 0, 1 };
const uint8_t* s_uastc_to_bc1_weights[6] = { nullptr, s_uastc1_to_bc1, s_uastc2_to_bc1, s_uastc3_to_bc1, s_uastc4_to_bc1, s_uastc5_to_bc1 };
void encode_bc4(void* pDst, const uint8_t* pPixels, uint32_t stride)
{
uint32_t min0_v, max0_v, min1_v, max1_v,min2_v, max2_v, min3_v, max3_v;
{
min0_v = max0_v = pPixels[0 * stride];
min1_v = max1_v = pPixels[1 * stride];
min2_v = max2_v = pPixels[2 * stride];
min3_v = max3_v = pPixels[3 * stride];
}
{
uint32_t v0 = pPixels[4 * stride]; min0_v = std::min(min0_v, v0); max0_v = std::max(max0_v, v0);
uint32_t v1 = pPixels[5 * stride]; min1_v = std::min(min1_v, v1); max1_v = std::max(max1_v, v1);
uint32_t v2 = pPixels[6 * stride]; min2_v = std::min(min2_v, v2); max2_v = std::max(max2_v, v2);
uint32_t v3 = pPixels[7 * stride]; min3_v = std::min(min3_v, v3); max3_v = std::max(max3_v, v3);
}
{
uint32_t v0 = pPixels[8 * stride]; min0_v = std::min(min0_v, v0); max0_v = std::max(max0_v, v0);
uint32_t v1 = pPixels[9 * stride]; min1_v = std::min(min1_v, v1); max1_v = std::max(max1_v, v1);
uint32_t v2 = pPixels[10 * stride]; min2_v = std::min(min2_v, v2); max2_v = std::max(max2_v, v2);
uint32_t v3 = pPixels[11 * stride]; min3_v = std::min(min3_v, v3); max3_v = std::max(max3_v, v3);
}
{
uint32_t v0 = pPixels[12 * stride]; min0_v = std::min(min0_v, v0); max0_v = std::max(max0_v, v0);
uint32_t v1 = pPixels[13 * stride]; min1_v = std::min(min1_v, v1); max1_v = std::max(max1_v, v1);
uint32_t v2 = pPixels[14 * stride]; min2_v = std::min(min2_v, v2); max2_v = std::max(max2_v, v2);
uint32_t v3 = pPixels[15 * stride]; min3_v = std::min(min3_v, v3); max3_v = std::max(max3_v, v3);
}
const uint32_t min_v = basisu::minimum(min0_v, min1_v, min2_v, min3_v);
const uint32_t max_v = basisu::maximum(max0_v, max1_v, max2_v, max3_v);
uint8_t* pDst_bytes = static_cast<uint8_t*>(pDst);
pDst_bytes[0] = (uint8_t)max_v;
pDst_bytes[1] = (uint8_t)min_v;
if (max_v == min_v)
{
memset(pDst_bytes + 2, 0, 6);
return;
}
const uint32_t delta = max_v - min_v;
// min_v is now 0. Compute thresholds between values by scaling max_v. It's x14 because we're adding two x7 scale factors.
const int t0 = delta * 13;
const int t1 = delta * 11;
const int t2 = delta * 9;
const int t3 = delta * 7;
const int t4 = delta * 5;
const int t5 = delta * 3;
const int t6 = delta * 1;
// BC4 floors in its divisions, which we compensate for with the 4 bias.
// This function is optimal for all possible inputs (i.e. it outputs the same results as checking all 8 values and choosing the closest one).
const int bias = 4 - min_v * 14;
static const uint32_t s_tran0[8] = { 1U , 7U , 6U , 5U , 4U , 3U , 2U , 0U };
static const uint32_t s_tran1[8] = { 1U << 3U, 7U << 3U, 6U << 3U, 5U << 3U, 4U << 3U, 3U << 3U, 2U << 3U, 0U << 3U };
static const uint32_t s_tran2[8] = { 1U << 6U, 7U << 6U, 6U << 6U, 5U << 6U, 4U << 6U, 3U << 6U, 2U << 6U, 0U << 6U };
static const uint32_t s_tran3[8] = { 1U << 9U, 7U << 9U, 6U << 9U, 5U << 9U, 4U << 9U, 3U << 9U, 2U << 9U, 0U << 9U };
uint64_t a0, a1, a2, a3;
{
const int v0 = pPixels[0 * stride] * 14 + bias;
const int v1 = pPixels[1 * stride] * 14 + bias;
const int v2 = pPixels[2 * stride] * 14 + bias;
const int v3 = pPixels[3 * stride] * 14 + bias;
a0 = s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)];
a1 = s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)];
a2 = s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)];
a3 = s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)];
}
{
const int v0 = pPixels[4 * stride] * 14 + bias;
const int v1 = pPixels[5 * stride] * 14 + bias;
const int v2 = pPixels[6 * stride] * 14 + bias;
const int v3 = pPixels[7 * stride] * 14 + bias;
a0 |= (s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)] << 12U);
a1 |= (s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)] << 12U);
a2 |= (s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)] << 12U);
a3 |= (s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)] << 12U);
}
{
const int v0 = pPixels[8 * stride] * 14 + bias;
const int v1 = pPixels[9 * stride] * 14 + bias;
const int v2 = pPixels[10 * stride] * 14 + bias;
const int v3 = pPixels[11 * stride] * 14 + bias;
a0 |= (((uint64_t)s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)]) << 24U);
a1 |= (((uint64_t)s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)]) << 24U);
a2 |= (((uint64_t)s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)]) << 24U);
a3 |= (((uint64_t)s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)]) << 24U);
}
{
const int v0 = pPixels[12 * stride] * 14 + bias;
const int v1 = pPixels[13 * stride] * 14 + bias;
const int v2 = pPixels[14 * stride] * 14 + bias;
const int v3 = pPixels[15 * stride] * 14 + bias;
a0 |= (((uint64_t)s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)]) << 36U);
a1 |= (((uint64_t)s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)]) << 36U);
a2 |= (((uint64_t)s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)]) << 36U);
a3 |= (((uint64_t)s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)]) << 36U);
}
const uint64_t f = a0 | a1 | a2 | a3;
pDst_bytes[2] = (uint8_t)f;
pDst_bytes[3] = (uint8_t)(f >> 8U);
pDst_bytes[4] = (uint8_t)(f >> 16U);
pDst_bytes[5] = (uint8_t)(f >> 24U);
pDst_bytes[6] = (uint8_t)(f >> 32U);
pDst_bytes[7] = (uint8_t)(f >> 40U);
}
static void bc1_find_sels(const color32 *pSrc_pixels, uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb, uint8_t sels[16])
{
uint32_t block_r[4], block_g[4], block_b[4];
block_r[0] = (lr << 3) | (lr >> 2); block_g[0] = (lg << 2) | (lg >> 4); block_b[0] = (lb << 3) | (lb >> 2);
block_r[3] = (hr << 3) | (hr >> 2); block_g[3] = (hg << 2) | (hg >> 4); block_b[3] = (hb << 3) | (hb >> 2);
block_r[1] = (block_r[0] * 2 + block_r[3]) / 3; block_g[1] = (block_g[0] * 2 + block_g[3]) / 3; block_b[1] = (block_b[0] * 2 + block_b[3]) / 3;
block_r[2] = (block_r[3] * 2 + block_r[0]) / 3; block_g[2] = (block_g[3] * 2 + block_g[0]) / 3; block_b[2] = (block_b[3] * 2 + block_b[0]) / 3;
int ar = block_r[3] - block_r[0], ag = block_g[3] - block_g[0], ab = block_b[3] - block_b[0];
int dots[4];
for (uint32_t i = 0; i < 4; i++)
dots[i] = (int)block_r[i] * ar + (int)block_g[i] * ag + (int)block_b[i] * ab;
int t0 = dots[0] + dots[1], t1 = dots[1] + dots[2], t2 = dots[2] + dots[3];
ar *= 2; ag *= 2; ab *= 2;
for (uint32_t i = 0; i < 16; i++)
{
const int d = pSrc_pixels[i].r * ar + pSrc_pixels[i].g * ag + pSrc_pixels[i].b * ab;
static const uint8_t s_sels[4] = { 3, 2, 1, 0 };
// Rounding matters here!
// d <= t0: <=, not <, to the later LS step "sees" a wider range of selectors. It matters for quality.
sels[i] = s_sels[(d <= t0) + (d < t1) + (d < t2)];
}
}
static inline void bc1_find_sels_2(const color32* pSrc_pixels, uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb, uint8_t sels[16])
{
uint32_t block_r[4], block_g[4], block_b[4];
block_r[0] = (lr << 3) | (lr >> 2); block_g[0] = (lg << 2) | (lg >> 4); block_b[0] = (lb << 3) | (lb >> 2);
block_r[3] = (hr << 3) | (hr >> 2); block_g[3] = (hg << 2) | (hg >> 4); block_b[3] = (hb << 3) | (hb >> 2);
block_r[1] = (block_r[0] * 2 + block_r[3]) / 3; block_g[1] = (block_g[0] * 2 + block_g[3]) / 3; block_b[1] = (block_b[0] * 2 + block_b[3]) / 3;
block_r[2] = (block_r[3] * 2 + block_r[0]) / 3; block_g[2] = (block_g[3] * 2 + block_g[0]) / 3; block_b[2] = (block_b[3] * 2 + block_b[0]) / 3;
int ar = block_r[3] - block_r[0], ag = block_g[3] - block_g[0], ab = block_b[3] - block_b[0];
int dots[4];
for (uint32_t i = 0; i < 4; i++)
dots[i] = (int)block_r[i] * ar + (int)block_g[i] * ag + (int)block_b[i] * ab;
int t0 = dots[0] + dots[1], t1 = dots[1] + dots[2], t2 = dots[2] + dots[3];
ar *= 2; ag *= 2; ab *= 2;
static const uint8_t s_sels[4] = { 3, 2, 1, 0 };
for (uint32_t i = 0; i < 16; i += 4)
{
const int d0 = pSrc_pixels[i+0].r * ar + pSrc_pixels[i+0].g * ag + pSrc_pixels[i+0].b * ab;
const int d1 = pSrc_pixels[i+1].r * ar + pSrc_pixels[i+1].g * ag + pSrc_pixels[i+1].b * ab;
const int d2 = pSrc_pixels[i+2].r * ar + pSrc_pixels[i+2].g * ag + pSrc_pixels[i+2].b * ab;
const int d3 = pSrc_pixels[i+3].r * ar + pSrc_pixels[i+3].g * ag + pSrc_pixels[i+3].b * ab;
sels[i+0] = s_sels[(d0 <= t0) + (d0 < t1) + (d0 < t2)];
sels[i+1] = s_sels[(d1 <= t0) + (d1 < t1) + (d1 < t2)];
sels[i+2] = s_sels[(d2 <= t0) + (d2 < t1) + (d2 < t2)];
sels[i+3] = s_sels[(d3 <= t0) + (d3 < t1) + (d3 < t2)];
}
}
struct vec3F { float c[3]; };
static bool compute_least_squares_endpoints_rgb(const color32* pColors, const uint8_t* pSelectors, vec3F* pXl, vec3F* pXh)
{
// Derived from bc7enc16's LS function.
// Least squares using normal equations: http://www.cs.cornell.edu/~bindel/class/cs3220-s12/notes/lec10.pdf
// I did this in matrix form first, expanded out all the ops, then optimized it a bit.
uint32_t uq00_r = 0, uq10_r = 0, ut_r = 0, uq00_g = 0, uq10_g = 0, ut_g = 0, uq00_b = 0, uq10_b = 0, ut_b = 0;
// This table is: 9 * (w * w), 9 * ((1.0f - w) * w), 9 * ((1.0f - w) * (1.0f - w))
// where w is [0,1/3,2/3,1]. 9 is the perfect multiplier.
static const uint32_t s_weight_vals[4] = { 0x000009, 0x010204, 0x040201, 0x090000 };
uint32_t weight_accum = 0;
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t r = pColors[i].c[0], g = pColors[i].c[1], b = pColors[i].c[2];
const uint32_t sel = pSelectors[i];
ut_r += r;
ut_g += g;
ut_b += b;
weight_accum += s_weight_vals[sel];
uq00_r += sel * r;
uq00_g += sel * g;
uq00_b += sel * b;
}
float q00_r = (float)uq00_r, q10_r = (float)uq10_r, t_r = (float)ut_r;
float q00_g = (float)uq00_g, q10_g = (float)uq10_g, t_g = (float)ut_g;
float q00_b = (float)uq00_b, q10_b = (float)uq10_b, t_b = (float)ut_b;
q10_r = t_r * 3.0f - q00_r;
q10_g = t_g * 3.0f - q00_g;
q10_b = t_b * 3.0f - q00_b;
float z00 = (float)((weight_accum >> 16) & 0xFF);
float z10 = (float)((weight_accum >> 8) & 0xFF);
float z11 = (float)(weight_accum & 0xFF);
float z01 = z10;
float det = z00 * z11 - z01 * z10;
if (fabs(det) < 1e-8f)
return false;
det = 3.0f / det;
float iz00, iz01, iz10, iz11;
iz00 = z11 * det;
iz01 = -z01 * det;
iz10 = -z10 * det;
iz11 = z00 * det;
pXl->c[0] = iz00 * q00_r + iz01 * q10_r; pXh->c[0] = iz10 * q00_r + iz11 * q10_r;
pXl->c[1] = iz00 * q00_g + iz01 * q10_g; pXh->c[1] = iz10 * q00_g + iz11 * q10_g;
pXl->c[2] = iz00 * q00_b + iz01 * q10_b; pXh->c[2] = iz10 * q00_b + iz11 * q10_b;
// Check and fix channel singularities - might not be needed, but is in UASTC's encoder.
for (uint32_t c = 0; c < 3; c++)
{
if ((pXl->c[c] < 0.0f) || (pXh->c[c] > 255.0f))
{
uint32_t lo_v = UINT32_MAX, hi_v = 0;
for (uint32_t i = 0; i < 16; i++)
{
lo_v = basisu::minimumu(lo_v, pColors[i].c[c]);
hi_v = basisu::maximumu(hi_v, pColors[i].c[c]);
}
if (lo_v == hi_v)
{
pXl->c[c] = (float)lo_v;
pXh->c[c] = (float)hi_v;
}
}
}
return true;
}
void encode_bc1_solid_block(void* pDst, uint32_t fr, uint32_t fg, uint32_t fb)
{
dxt1_block* pDst_block = static_cast<dxt1_block*>(pDst);
uint32_t mask = 0xAA;
uint32_t max16 = (g_bc1_match5_equals_1[fr].m_hi << 11) | (g_bc1_match6_equals_1[fg].m_hi << 5) | g_bc1_match5_equals_1[fb].m_hi;
uint32_t min16 = (g_bc1_match5_equals_1[fr].m_lo << 11) | (g_bc1_match6_equals_1[fg].m_lo << 5) | g_bc1_match5_equals_1[fb].m_lo;
if (min16 == max16)
{
// Always forbid 3 color blocks
// This is to guarantee that BC3 blocks never use punchthrough alpha (3 color) mode, which isn't supported on some (all?) GPU's.
mask = 0;
// Make l > h
if (min16 > 0)
min16--;
else
{
// l = h = 0
assert(min16 == max16 && max16 == 0);
max16 = 1;
min16 = 0;
mask = 0x55;
}
assert(max16 > min16);
}
if (max16 < min16)
{
std::swap(max16, min16);
mask ^= 0x55;
}
pDst_block->set_low_color(static_cast<uint16_t>(max16));
pDst_block->set_high_color(static_cast<uint16_t>(min16));
pDst_block->m_selectors[0] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[1] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[2] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[3] = static_cast<uint8_t>(mask);
}
static inline uint8_t to_5(uint32_t v) { v = v * 31 + 128; return (uint8_t)((v + (v >> 8)) >> 8); }
static inline uint8_t to_6(uint32_t v) { v = v * 63 + 128; return (uint8_t)((v + (v >> 8)) >> 8); }
// Good references: squish library, stb_dxt.
void encode_bc1(void* pDst, const uint8_t* pPixels, uint32_t flags)
{
const color32* pSrc_pixels = (const color32*)pPixels;
dxt1_block* pDst_block = static_cast<dxt1_block*>(pDst);
int avg_r = -1, avg_g = 0, avg_b = 0;
int lr = 0, lg = 0, lb = 0, hr = 0, hg = 0, hb = 0;
uint8_t sels[16];
const bool use_sels = (flags & cEncodeBC1UseSelectors) != 0;
if (use_sels)
{
// Caller is jamming in their own selectors for us to try.
const uint32_t s = pDst_block->m_selectors[0] | (pDst_block->m_selectors[1] << 8) | (pDst_block->m_selectors[2] << 16) | (pDst_block->m_selectors[3] << 24);
static const uint8_t s_sel_tran[4] = { 0, 3, 1, 2 };
for (uint32_t i = 0; i < 16; i++)
sels[i] = s_sel_tran[(s >> (i * 2)) & 3];
}
else
{
const uint32_t fr = pSrc_pixels[0].r, fg = pSrc_pixels[0].g, fb = pSrc_pixels[0].b;
uint32_t j;
for (j = 1; j < 16; j++)
if ((pSrc_pixels[j].r != fr) || (pSrc_pixels[j].g != fg) || (pSrc_pixels[j].b != fb))
break;
if (j == 16)
{
encode_bc1_solid_block(pDst, fr, fg, fb);
return;
}
// Select 2 colors along the principle axis. (There must be a faster/simpler way.)
int total_r = fr, total_g = fg, total_b = fb;
int max_r = fr, max_g = fg, max_b = fb;
int min_r = fr, min_g = fg, min_b = fb;
for (uint32_t i = 1; i < 16; i++)
{
const int r = pSrc_pixels[i].r, g = pSrc_pixels[i].g, b = pSrc_pixels[i].b;
max_r = std::max(max_r, r); max_g = std::max(max_g, g); max_b = std::max(max_b, b);
min_r = std::min(min_r, r); min_g = std::min(min_g, g); min_b = std::min(min_b, b);
total_r += r; total_g += g; total_b += b;
}
avg_r = (total_r + 8) >> 4, avg_g = (total_g + 8) >> 4, avg_b = (total_b + 8) >> 4;
int icov[6] = { 0, 0, 0, 0, 0, 0 };
for (uint32_t i = 0; i < 16; i++)
{
int r = (int)pSrc_pixels[i].r - avg_r;
int g = (int)pSrc_pixels[i].g - avg_g;
int b = (int)pSrc_pixels[i].b - avg_b;
icov[0] += r * r;
icov[1] += r * g;
icov[2] += r * b;
icov[3] += g * g;
icov[4] += g * b;
icov[5] += b * b;
}
float cov[6];
for (uint32_t i = 0; i < 6; i++)
cov[i] = static_cast<float>(icov[i])* (1.0f / 255.0f);
#if 0
// Seems silly to use full PCA to choose 2 colors. The diff in avg. PSNR between using PCA vs. not is small (~.025 difference).
// TODO: Try 2 or 3 different normalized diagonal vectors, choose the one that results in the largest dot delta
int saxis_r = max_r - min_r;
int saxis_g = max_g - min_g;
int saxis_b = max_b - min_b;
#else
float xr = (float)(max_r - min_r);
float xg = (float)(max_g - min_g);
float xb = (float)(max_b - min_b);
//float xr = (float)(max_r - avg_r); // max-avg is nearly the same, and doesn't require computing min's
//float xg = (float)(max_g - avg_g);
//float xb = (float)(max_b - avg_b);
for (uint32_t power_iter = 0; power_iter < 4; power_iter++)
{
float r = xr * cov[0] + xg * cov[1] + xb * cov[2];
float g = xr * cov[1] + xg * cov[3] + xb * cov[4];
float b = xr * cov[2] + xg * cov[4] + xb * cov[5];
xr = r; xg = g; xb = b;
}
float k = basisu::maximum(fabsf(xr), fabsf(xg), fabsf(xb));
int saxis_r = 306, saxis_g = 601, saxis_b = 117;
if (k >= 2)
{
float m = 1024.0f / k;
saxis_r = (int)(xr * m);
saxis_g = (int)(xg * m);
saxis_b = (int)(xb * m);
}
#endif
int low_dot = INT_MAX, high_dot = INT_MIN, low_c = 0, high_c = 0;
for (uint32_t i = 0; i < 16; i++)
{
int dot = pSrc_pixels[i].r * saxis_r + pSrc_pixels[i].g * saxis_g + pSrc_pixels[i].b * saxis_b;
if (dot < low_dot)
{
low_dot = dot;
low_c = i;
}
if (dot > high_dot)
{
high_dot = dot;
high_c = i;
}
}
lr = to_5(pSrc_pixels[low_c].r);
lg = to_6(pSrc_pixels[low_c].g);
lb = to_5(pSrc_pixels[low_c].b);
hr = to_5(pSrc_pixels[high_c].r);
hg = to_6(pSrc_pixels[high_c].g);
hb = to_5(pSrc_pixels[high_c].b);
bc1_find_sels(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels);
} // if (use_sels)
const uint32_t total_ls_passes = (flags & cEncodeBC1HigherQuality) ? 3 : (flags & cEncodeBC1HighQuality ? 2 : 1);
for (uint32_t ls_pass = 0; ls_pass < total_ls_passes; ls_pass++)
{
// This is where the real magic happens. We have an array of candidate selectors, so let's use least squares to compute the optimal low/high endpoint colors.
vec3F xl, xh;
if (!compute_least_squares_endpoints_rgb(pSrc_pixels, sels, &xl, &xh))
{
if (avg_r < 0)
{
int total_r = 0, total_g = 0, total_b = 0;
for (uint32_t i = 0; i < 16; i++)
{
total_r += pSrc_pixels[i].r;
total_g += pSrc_pixels[i].g;
total_b += pSrc_pixels[i].b;
}
avg_r = (total_r + 8) >> 4, avg_g = (total_g + 8) >> 4, avg_b = (total_b + 8) >> 4;
}
// All selectors equal - treat it as a solid block which should always be equal or better.
lr = g_bc1_match5_equals_1[avg_r].m_hi;
lg = g_bc1_match6_equals_1[avg_g].m_hi;
lb = g_bc1_match5_equals_1[avg_b].m_hi;
hr = g_bc1_match5_equals_1[avg_r].m_lo;
hg = g_bc1_match6_equals_1[avg_g].m_lo;
hb = g_bc1_match5_equals_1[avg_b].m_lo;
// In high/higher quality mode, let it try again in case the optimal tables have caused the sels to diverge.
}
else
{
lr = basisu::clamp((int)((xl.c[0]) * (31.0f / 255.0f) + .5f), 0, 31);
lg = basisu::clamp((int)((xl.c[1]) * (63.0f / 255.0f) + .5f), 0, 63);
lb = basisu::clamp((int)((xl.c[2]) * (31.0f / 255.0f) + .5f), 0, 31);
hr = basisu::clamp((int)((xh.c[0]) * (31.0f / 255.0f) + .5f), 0, 31);
hg = basisu::clamp((int)((xh.c[1]) * (63.0f / 255.0f) + .5f), 0, 63);
hb = basisu::clamp((int)((xh.c[2]) * (31.0f / 255.0f) + .5f), 0, 31);
}
bc1_find_sels(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels);
}
uint32_t lc16 = dxt1_block::pack_unscaled_color(lr, lg, lb);
uint32_t hc16 = dxt1_block::pack_unscaled_color(hr, hg, hb);
// Always forbid 3 color blocks
if (lc16 == hc16)
{
uint8_t mask = 0;
// Make l > h
if (hc16 > 0)
hc16--;
else
{
// lc16 = hc16 = 0
assert(lc16 == hc16 && hc16 == 0);
hc16 = 0;
lc16 = 1;
mask = 0x55; // select hc16
}
assert(lc16 > hc16);
pDst_block->set_low_color(static_cast<uint16_t>(lc16));
pDst_block->set_high_color(static_cast<uint16_t>(hc16));
pDst_block->m_selectors[0] = mask;
pDst_block->m_selectors[1] = mask;
pDst_block->m_selectors[2] = mask;
pDst_block->m_selectors[3] = mask;
}
else
{
uint8_t invert_mask = 0;
if (lc16 < hc16)
{
std::swap(lc16, hc16);
invert_mask = 0x55;
}
assert(lc16 > hc16);
pDst_block->set_low_color((uint16_t)lc16);
pDst_block->set_high_color((uint16_t)hc16);
uint32_t packed_sels = 0;
static const uint8_t s_sel_trans[4] = { 0, 2, 3, 1 };
for (uint32_t i = 0; i < 16; i++)
packed_sels |= ((uint32_t)s_sel_trans[sels[i]] << (i * 2));
pDst_block->m_selectors[0] = (uint8_t)packed_sels ^ invert_mask;
pDst_block->m_selectors[1] = (uint8_t)(packed_sels >> 8) ^ invert_mask;
pDst_block->m_selectors[2] = (uint8_t)(packed_sels >> 16) ^ invert_mask;
pDst_block->m_selectors[3] = (uint8_t)(packed_sels >> 24) ^ invert_mask;
}
}
void encode_bc1_alt(void* pDst, const uint8_t* pPixels, uint32_t flags)
{
const color32* pSrc_pixels = (const color32*)pPixels;
dxt1_block* pDst_block = static_cast<dxt1_block*>(pDst);
int avg_r = -1, avg_g = 0, avg_b = 0;
int lr = 0, lg = 0, lb = 0, hr = 0, hg = 0, hb = 0;
uint8_t sels[16];
const bool use_sels = (flags & cEncodeBC1UseSelectors) != 0;
if (use_sels)
{
// Caller is jamming in their own selectors for us to try.
const uint32_t s = pDst_block->m_selectors[0] | (pDst_block->m_selectors[1] << 8) | (pDst_block->m_selectors[2] << 16) | (pDst_block->m_selectors[3] << 24);
static const uint8_t s_sel_tran[4] = { 0, 3, 1, 2 };
for (uint32_t i = 0; i < 16; i++)
sels[i] = s_sel_tran[(s >> (i * 2)) & 3];
}
else
{
const uint32_t fr = pSrc_pixels[0].r, fg = pSrc_pixels[0].g, fb = pSrc_pixels[0].b;
uint32_t j;
for (j = 1; j < 16; j++)
if ((pSrc_pixels[j].r != fr) || (pSrc_pixels[j].g != fg) || (pSrc_pixels[j].b != fb))
break;
if (j == 16)
{
encode_bc1_solid_block(pDst, fr, fg, fb);
return;
}
// Select 2 colors along the principle axis. (There must be a faster/simpler way.)
int total_r = fr, total_g = fg, total_b = fb;
int max_r = fr, max_g = fg, max_b = fb;
int min_r = fr, min_g = fg, min_b = fb;
uint32_t grayscale_flag = (fr == fg) && (fr == fb);
for (uint32_t i = 1; i < 16; i++)
{
const int r = pSrc_pixels[i].r, g = pSrc_pixels[i].g, b = pSrc_pixels[i].b;
grayscale_flag &= ((r == g) && (r == b));
max_r = std::max(max_r, r); max_g = std::max(max_g, g); max_b = std::max(max_b, b);
min_r = std::min(min_r, r); min_g = std::min(min_g, g); min_b = std::min(min_b, b);
total_r += r; total_g += g; total_b += b;
}
if (grayscale_flag)
{
// Grayscale blocks are a common enough case to specialize.
if ((max_r - min_r) < 2)
{
lr = lb = hr = hb = to_5(fr);
lg = hg = to_6(fr);
}
else
{
lr = lb = to_5(min_r);
lg = to_6(min_r);
hr = hb = to_5(max_r);
hg = to_6(max_r);
}
}
else
{
avg_r = (total_r + 8) >> 4, avg_g = (total_g + 8) >> 4, avg_b = (total_b + 8) >> 4;
// Find the shortest vector from a AABB corner to the block's average color.
// This is to help avoid outliers.
uint32_t dist[3][2];
dist[0][0] = basisu::square(min_r - avg_r) << 3; dist[0][1] = basisu::square(max_r - avg_r) << 3;
dist[1][0] = basisu::square(min_g - avg_g) << 3; dist[1][1] = basisu::square(max_g - avg_g) << 3;
dist[2][0] = basisu::square(min_b - avg_b) << 3; dist[2][1] = basisu::square(max_b - avg_b) << 3;
uint32_t min_d0 = (dist[0][0] + dist[1][0] + dist[2][0]);
uint32_t d4 = (dist[0][0] + dist[1][0] + dist[2][1]) | 4;
min_d0 = std::min(min_d0, d4);
uint32_t min_d1 = (dist[0][1] + dist[1][0] + dist[2][0]) | 1;
uint32_t d5 = (dist[0][1] + dist[1][0] + dist[2][1]) | 5;
min_d1 = std::min(min_d1, d5);
uint32_t d2 = (dist[0][0] + dist[1][1] + dist[2][0]) | 2;
min_d0 = std::min(min_d0, d2);
uint32_t d3 = (dist[0][1] + dist[1][1] + dist[2][0]) | 3;
min_d1 = std::min(min_d1, d3);
uint32_t d6 = (dist[0][0] + dist[1][1] + dist[2][1]) | 6;
min_d0 = std::min(min_d0, d6);
uint32_t d7 = (dist[0][1] + dist[1][1] + dist[2][1]) | 7;
min_d1 = std::min(min_d1, d7);
uint32_t min_d = std::min(min_d0, min_d1);
uint32_t best_i = min_d & 7;
int delta_r = (best_i & 1) ? (max_r - avg_r) : (avg_r - min_r);
int delta_g = (best_i & 2) ? (max_g - avg_g) : (avg_g - min_g);
int delta_b = (best_i & 4) ? (max_b - avg_b) : (avg_b - min_b);
// Note: if delta_r/g/b==0, we actually want to choose a single color, so the block average color optimization kicks in.
uint32_t low_c = 0, high_c = 0;
if ((delta_r | delta_g | delta_b) != 0)
{
// Now we have a smaller AABB going from the block's average color to a cornerpoint of the larger AABB.
// Project all pixels colors along the 4 vectors going from a smaller AABB cornerpoint to the opposite cornerpoint, find largest projection.
// One of these vectors will be a decent approximation of the block's PCA.
const int saxis0_r = delta_r, saxis0_g = delta_g, saxis0_b = delta_b;
int low_dot0 = INT_MAX, high_dot0 = INT_MIN;
int low_dot1 = INT_MAX, high_dot1 = INT_MIN;
int low_dot2 = INT_MAX, high_dot2 = INT_MIN;
int low_dot3 = INT_MAX, high_dot3 = INT_MIN;
//int low_c0, low_c1, low_c2, low_c3;
//int high_c0, high_c1, high_c2, high_c3;
for (uint32_t i = 0; i < 16; i++)
{
const int dotx = pSrc_pixels[i].r * saxis0_r;
const int doty = pSrc_pixels[i].g * saxis0_g;
const int dotz = pSrc_pixels[i].b * saxis0_b;
const int dot0 = ((dotz + dotx + doty) << 4) + i;
const int dot1 = ((dotz - dotx - doty) << 4) + i;
const int dot2 = ((dotz - dotx + doty) << 4) + i;
const int dot3 = ((dotz + dotx - doty) << 4) + i;
if (dot0 < low_dot0)
{
low_dot0 = dot0;
//low_c0 = i;
}
if ((dot0 ^ 15) > high_dot0)
{
high_dot0 = dot0 ^ 15;
//high_c0 = i;
}
if (dot1 < low_dot1)
{
low_dot1 = dot1;
//low_c1 = i;
}
if ((dot1 ^ 15) > high_dot1)
{
high_dot1 = dot1 ^ 15;
//high_c1 = i;
}
if (dot2 < low_dot2)
{
low_dot2 = dot2;
//low_c2 = i;
}
if ((dot2 ^ 15) > high_dot2)
{
high_dot2 = dot2 ^ 15;
//high_c2 = i;
}
if (dot3 < low_dot3)
{
low_dot3 = dot3;
//low_c3 = i;
}
if ((dot3 ^ 15) > high_dot3)
{
high_dot3 = dot3 ^ 15;
//high_c3 = i;
}
}
low_c = low_dot0 & 15, high_c = ~high_dot0 & 15;
uint32_t r = (high_dot0 & ~15) - (low_dot0 & ~15);
uint32_t tr = (high_dot1 & ~15) - (low_dot1 & ~15);
if (tr > r)
low_c = low_dot1 & 15, high_c = ~high_dot1 & 15, r = tr;
tr = (high_dot2 & ~15) - (low_dot2 & ~15);
if (tr > r)
low_c = low_dot2 & 15, high_c = ~high_dot2 & 15, r = tr;
tr = (high_dot3 & ~15) - (low_dot3 & ~15);
if (tr > r)
low_c = low_dot3 & 15, high_c = ~high_dot3 & 15;
}
lr = to_5(pSrc_pixels[low_c].r);
lg = to_6(pSrc_pixels[low_c].g);
lb = to_5(pSrc_pixels[low_c].b);
hr = to_5(pSrc_pixels[high_c].r);
hg = to_6(pSrc_pixels[high_c].g);
hb = to_5(pSrc_pixels[high_c].b);
}
bc1_find_sels_2(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels);
} // if (use_sels)
const uint32_t total_ls_passes = (flags & cEncodeBC1HigherQuality) ? 3 : (flags & cEncodeBC1HighQuality ? 2 : 1);
for (uint32_t ls_pass = 0; ls_pass < total_ls_passes; ls_pass++)
{
int prev_lr = lr, prev_lg = lg, prev_lb = lb, prev_hr = hr, prev_hg = hg, prev_hb = hb;
// This is where the real magic happens. We have an array of candidate selectors, so let's use least squares to compute the optimal low/high endpoint colors.
vec3F xl, xh;
if (!compute_least_squares_endpoints_rgb(pSrc_pixels, sels, &xl, &xh))
{
if (avg_r < 0)
{
int total_r = 0, total_g = 0, total_b = 0;
for (uint32_t i = 0; i < 16; i++)
{
total_r += pSrc_pixels[i].r;
total_g += pSrc_pixels[i].g;
total_b += pSrc_pixels[i].b;
}
avg_r = (total_r + 8) >> 4, avg_g = (total_g + 8) >> 4, avg_b = (total_b + 8) >> 4;
}
// All selectors equal - treat it as a solid block which should always be equal or better.
lr = g_bc1_match5_equals_1[avg_r].m_hi;
lg = g_bc1_match6_equals_1[avg_g].m_hi;
lb = g_bc1_match5_equals_1[avg_b].m_hi;
hr = g_bc1_match5_equals_1[avg_r].m_lo;
hg = g_bc1_match6_equals_1[avg_g].m_lo;
hb = g_bc1_match5_equals_1[avg_b].m_lo;
// In high/higher quality mode, let it try again in case the optimal tables have caused the sels to diverge.
}
else
{
lr = basisu::clamp((int)((xl.c[0]) * (31.0f / 255.0f) + .5f), 0, 31);
lg = basisu::clamp((int)((xl.c[1]) * (63.0f / 255.0f) + .5f), 0, 63);
lb = basisu::clamp((int)((xl.c[2]) * (31.0f / 255.0f) + .5f), 0, 31);
hr = basisu::clamp((int)((xh.c[0]) * (31.0f / 255.0f) + .5f), 0, 31);
hg = basisu::clamp((int)((xh.c[1]) * (63.0f / 255.0f) + .5f), 0, 63);
hb = basisu::clamp((int)((xh.c[2]) * (31.0f / 255.0f) + .5f), 0, 31);
}
if ((prev_lr == lr) && (prev_lg == lg) && (prev_lb == lb) && (prev_hr == hr) && (prev_hg == hg) && (prev_hb == hb))
break;
bc1_find_sels_2(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels);
}
uint32_t lc16 = dxt1_block::pack_unscaled_color(lr, lg, lb);
uint32_t hc16 = dxt1_block::pack_unscaled_color(hr, hg, hb);
// Always forbid 3 color blocks
if (lc16 == hc16)
{
uint8_t mask = 0;
// Make l > h
if (hc16 > 0)
hc16--;
else
{
// lc16 = hc16 = 0
assert(lc16 == hc16 && hc16 == 0);
hc16 = 0;
lc16 = 1;
mask = 0x55; // select hc16
}
assert(lc16 > hc16);
pDst_block->set_low_color(static_cast<uint16_t>(lc16));
pDst_block->set_high_color(static_cast<uint16_t>(hc16));
pDst_block->m_selectors[0] = mask;
pDst_block->m_selectors[1] = mask;
pDst_block->m_selectors[2] = mask;
pDst_block->m_selectors[3] = mask;
}
else
{
uint8_t invert_mask = 0;
if (lc16 < hc16)
{
std::swap(lc16, hc16);
invert_mask = 0x55;
}
assert(lc16 > hc16);
pDst_block->set_low_color((uint16_t)lc16);
pDst_block->set_high_color((uint16_t)hc16);
uint32_t packed_sels = 0;
static const uint8_t s_sel_trans[4] = { 0, 2, 3, 1 };
for (uint32_t i = 0; i < 16; i++)
packed_sels |= ((uint32_t)s_sel_trans[sels[i]] << (i * 2));
pDst_block->m_selectors[0] = (uint8_t)packed_sels ^ invert_mask;
pDst_block->m_selectors[1] = (uint8_t)(packed_sels >> 8) ^ invert_mask;
pDst_block->m_selectors[2] = (uint8_t)(packed_sels >> 16) ^ invert_mask;
pDst_block->m_selectors[3] = (uint8_t)(packed_sels >> 24) ^ invert_mask;
}
}
// Scale the UASTC first subset endpoints and first plane's weight indices directly to BC1's - fastest.
void transcode_uastc_to_bc1_hint0(const unpacked_uastc_block& unpacked_src_blk, void* pDst)
{
const uint32_t mode = unpacked_src_blk.m_mode;
const astc_block_desc& astc_blk = unpacked_src_blk.m_astc;
dxt1_block& b = *static_cast<dxt1_block*>(pDst);
const uint32_t endpoint_range = g_uastc_mode_endpoint_ranges[mode];
const uint32_t total_comps = g_uastc_mode_comps[mode];
if (total_comps == 2)
{
const uint32_t l = g_astc_unquant[endpoint_range][astc_blk.m_endpoints[0]].m_unquant;
const uint32_t h = g_astc_unquant[endpoint_range][astc_blk.m_endpoints[1]].m_unquant;
b.set_low_color(dxt1_block::pack_color(color32(l, l, l, 255), true, 127));
b.set_high_color(dxt1_block::pack_color(color32(h, h, h, 255), true, 127));
}
else
{
b.set_low_color(dxt1_block::pack_color(
color32(g_astc_unquant[endpoint_range][astc_blk.m_endpoints[0]].m_unquant,
g_astc_unquant[endpoint_range][astc_blk.m_endpoints[2]].m_unquant,
g_astc_unquant[endpoint_range][astc_blk.m_endpoints[4]].m_unquant,
255), true, 127)
);
b.set_high_color(dxt1_block::pack_color(
color32(g_astc_unquant[endpoint_range][astc_blk.m_endpoints[1]].m_unquant,
g_astc_unquant[endpoint_range][astc_blk.m_endpoints[3]].m_unquant,
g_astc_unquant[endpoint_range][astc_blk.m_endpoints[5]].m_unquant,
255), true, 127)
);
}
if (b.get_low_color() == b.get_high_color())
{
// Always forbid 3 color blocks
uint16_t lc16 = (uint16_t)b.get_low_color();
uint16_t hc16 = (uint16_t)b.get_high_color();
uint8_t mask = 0;
// Make l > h
if (hc16 > 0)
hc16--;
else
{
// lc16 = hc16 = 0
assert(lc16 == hc16 && hc16 == 0);
hc16 = 0;
lc16 = 1;
mask = 0x55; // select hc16
}
assert(lc16 > hc16);
b.set_low_color(static_cast<uint16_t>(lc16));
b.set_high_color(static_cast<uint16_t>(hc16));
b.m_selectors[0] = mask;
b.m_selectors[1] = mask;
b.m_selectors[2] = mask;
b.m_selectors[3] = mask;
}
else
{
bool invert = false;
if (b.get_low_color() < b.get_high_color())
{
std::swap(b.m_low_color[0], b.m_high_color[0]);
std::swap(b.m_low_color[1], b.m_high_color[1]);
invert = true;
}
const uint8_t* pTran = s_uastc_to_bc1_weights[g_uastc_mode_weight_bits[mode]];
const uint32_t plane_shift = g_uastc_mode_planes[mode] - 1;
uint32_t sels = 0;
for (int i = 15; i >= 0; --i)
{
uint32_t s = pTran[astc_blk.m_weights[i << plane_shift]];
if (invert)
s ^= 1;
sels = (sels << 2) | s;
}
b.m_selectors[0] = sels & 0xFF;
b.m_selectors[1] = (sels >> 8) & 0xFF;
b.m_selectors[2] = (sels >> 16) & 0xFF;
b.m_selectors[3] = (sels >> 24) & 0xFF;
}
}
// Scale the UASTC first plane's weight indices to BC1, use 1 or 2 least squares passes to compute endpoints - no PCA needed.
void transcode_uastc_to_bc1_hint1(const unpacked_uastc_block& unpacked_src_blk, const color32 block_pixels[4][4], void* pDst, bool high_quality)
{
const uint32_t mode = unpacked_src_blk.m_mode;
const astc_block_desc& astc_blk = unpacked_src_blk.m_astc;
dxt1_block& b = *static_cast<dxt1_block*>(pDst);
b.set_low_color(1);
b.set_high_color(0);
const uint8_t* pTran = s_uastc_to_bc1_weights[g_uastc_mode_weight_bits[mode]];
const uint32_t plane_shift = g_uastc_mode_planes[mode] - 1;
uint32_t sels = 0;
for (int i = 15; i >= 0; --i)
{
sels <<= 2;
sels |= pTran[astc_blk.m_weights[i << plane_shift]];
}
b.m_selectors[0] = sels & 0xFF;
b.m_selectors[1] = (sels >> 8) & 0xFF;
b.m_selectors[2] = (sels >> 16) & 0xFF;
b.m_selectors[3] = (sels >> 24) & 0xFF;
encode_bc1(&b, (const uint8_t*)&block_pixels[0][0].c[0], (high_quality ? cEncodeBC1HighQuality : 0) | cEncodeBC1UseSelectors);
}
bool transcode_uastc_to_bc1(const uastc_block& src_blk, void* pDst, bool high_quality)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
encode_bc1_solid_block(pDst, unpacked_src_blk.m_solid_color.r, unpacked_src_blk.m_solid_color.g, unpacked_src_blk.m_solid_color.b);
return true;
}
if ((!high_quality) && (unpacked_src_blk.m_bc1_hint0))
transcode_uastc_to_bc1_hint0(unpacked_src_blk, pDst);
else
{
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
if (unpacked_src_blk.m_bc1_hint1)
transcode_uastc_to_bc1_hint1(unpacked_src_blk, block_pixels, pDst, high_quality);
else
encode_bc1(pDst, &block_pixels[0][0].r, high_quality ? cEncodeBC1HighQuality : 0);
}
return true;
}
static void write_bc4_solid_block(uint8_t* pDst, uint32_t a)
{
pDst[0] = (uint8_t)a;
pDst[1] = (uint8_t)a;
memset(pDst + 2, 0, 6);
}
bool transcode_uastc_to_bc3(const uastc_block& src_blk, void* pDst, bool high_quality)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
void* pBC4_block = pDst;
dxt1_block* pBC1_block = &static_cast<dxt1_block*>(pDst)[1];
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
write_bc4_solid_block(static_cast<uint8_t*>(pBC4_block), unpacked_src_blk.m_solid_color.a);
encode_bc1_solid_block(pBC1_block, unpacked_src_blk.m_solid_color.r, unpacked_src_blk.m_solid_color.g, unpacked_src_blk.m_solid_color.b);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
basist::encode_bc4(pBC4_block, &block_pixels[0][0].a, sizeof(color32));
if ((!high_quality) && (unpacked_src_blk.m_bc1_hint0))
transcode_uastc_to_bc1_hint0(unpacked_src_blk, pBC1_block);
else
{
if (unpacked_src_blk.m_bc1_hint1)
transcode_uastc_to_bc1_hint1(unpacked_src_blk, block_pixels, pBC1_block, high_quality);
else
encode_bc1(pBC1_block, &block_pixels[0][0].r, high_quality ? cEncodeBC1HighQuality : 0);
}
return true;
}
bool transcode_uastc_to_bc4(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0)
{
BASISU_NOTE_UNUSED(high_quality);
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
void* pBC4_block = pDst;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
write_bc4_solid_block(static_cast<uint8_t*>(pBC4_block), unpacked_src_blk.m_solid_color.c[chan0]);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
basist::encode_bc4(pBC4_block, &block_pixels[0][0].c[chan0], sizeof(color32));
return true;
}
bool transcode_uastc_to_bc5(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0, uint32_t chan1)
{
BASISU_NOTE_UNUSED(high_quality);
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
void* pBC4_block0 = pDst;
void* pBC4_block1 = (uint8_t*)pDst + 8;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
write_bc4_solid_block(static_cast<uint8_t*>(pBC4_block0), unpacked_src_blk.m_solid_color.c[chan0]);
write_bc4_solid_block(static_cast<uint8_t*>(pBC4_block1), unpacked_src_blk.m_solid_color.c[chan1]);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
basist::encode_bc4(pBC4_block0, &block_pixels[0][0].c[chan0], sizeof(color32));
basist::encode_bc4(pBC4_block1, &block_pixels[0][0].c[chan1], sizeof(color32));
return true;
}
static const uint8_t s_etc2_eac_bit_ofs[16] = { 45, 33, 21, 9, 42, 30, 18, 6, 39, 27, 15, 3, 36, 24, 12, 0 };
static void pack_eac_solid_block(eac_block& blk, uint32_t a)
{
blk.m_base = static_cast<uint8_t>(a);
blk.m_table = 13;
blk.m_multiplier = 0;
memcpy(blk.m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
return;
}
// Only checks 4 tables.
static void pack_eac(eac_block& blk, const uint8_t* pPixels, uint32_t stride)
{
uint32_t min_alpha = 255, max_alpha = 0;
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t a = pPixels[i * stride];
if (a < min_alpha) min_alpha = a;
if (a > max_alpha) max_alpha = a;
}
if (min_alpha == max_alpha)
{
pack_eac_solid_block(blk, min_alpha);
return;
}
const uint32_t alpha_range = max_alpha - min_alpha;
const uint32_t SINGLE_TABLE_THRESH = 5;
if (alpha_range <= SINGLE_TABLE_THRESH)
{
// If alpha_range <= 5 table 13 is lossless
int base = clamp255((int)max_alpha - 2);
blk.m_base = base;
blk.m_multiplier = 1;
blk.m_table = 13;
base -= 3;
uint64_t packed_sels = 0;
for (uint32_t i = 0; i < 16; i++)
{
const int a = pPixels[i * stride];
static const uint8_t s_sels[6] = { 2, 1, 0, 4, 5, 6 };
int sel = a - base;
assert(sel >= 0 && sel <= 5);
packed_sels |= (static_cast<uint64_t>(s_sels[sel]) << s_etc2_eac_bit_ofs[i]);
}
blk.set_selector_bits(packed_sels);
return;
}
const uint32_t T0 = 2, T1 = 8, T2 = 11, T3 = 13;
static const uint8_t s_tables[4] = { T0, T1, T2, T3 };
int base[4], mul[4];
uint32_t mul_or = 0;
for (uint32_t i = 0; i < 4; i++)
{
const uint32_t table = s_tables[i];
const float range = (float)(g_eac_modifier_table[table][ETC2_EAC_MAX_VALUE_SELECTOR] - g_eac_modifier_table[table][ETC2_EAC_MIN_VALUE_SELECTOR]);
base[i] = clamp255((int)roundf(basisu::lerp((float)min_alpha, (float)max_alpha, (float)(0 - g_eac_modifier_table[table][ETC2_EAC_MIN_VALUE_SELECTOR]) / range)));
mul[i] = clampi((int)roundf(alpha_range / range), 1, 15);
mul_or |= mul[i];
}
uint32_t total_err[4] = { 0, 0, 0, 0 };
uint8_t sels[4][16];
for (uint32_t i = 0; i < 16; i++)
{
const int a = pPixels[i * stride];
uint32_t l0 = UINT32_MAX, l1 = UINT32_MAX, l2 = UINT32_MAX, l3 = UINT32_MAX;
if ((a < 7) || (a > (255 - 7)))
{
for (uint32_t s = 0; s < 8; s++)
{
const int v0 = clamp255(mul[0] * g_eac_modifier_table[T0][s] + base[0]);
const int v1 = clamp255(mul[1] * g_eac_modifier_table[T1][s] + base[1]);
const int v2 = clamp255(mul[2] * g_eac_modifier_table[T2][s] + base[2]);
const int v3 = clamp255(mul[3] * g_eac_modifier_table[T3][s] + base[3]);
l0 = std::min(l0, (basisu::iabs(v0 - a) << 3) | s);
l1 = std::min(l1, (basisu::iabs(v1 - a) << 3) | s);
l2 = std::min(l2, (basisu::iabs(v2 - a) << 3) | s);
l3 = std::min(l3, (basisu::iabs(v3 - a) << 3) | s);
}
}
else if (mul_or == 1)
{
const int a0 = base[0] - a, a1 = base[1] - a, a2 = base[2] - a, a3 = base[3] - a;
for (uint32_t s = 0; s < 8; s++)
{
const int v0 = g_eac_modifier_table[T0][s] + a0;
const int v1 = g_eac_modifier_table[T1][s] + a1;
const int v2 = g_eac_modifier_table[T2][s] + a2;
const int v3 = g_eac_modifier_table[T3][s] + a3;
l0 = std::min(l0, (basisu::iabs(v0) << 3) | s);
l1 = std::min(l1, (basisu::iabs(v1) << 3) | s);
l2 = std::min(l2, (basisu::iabs(v2) << 3) | s);
l3 = std::min(l3, (basisu::iabs(v3) << 3) | s);
}
}
else
{
const int a0 = base[0] - a, a1 = base[1] - a, a2 = base[2] - a, a3 = base[3] - a;
for (uint32_t s = 0; s < 8; s++)
{
const int v0 = mul[0] * g_eac_modifier_table[T0][s] + a0;
const int v1 = mul[1] * g_eac_modifier_table[T1][s] + a1;
const int v2 = mul[2] * g_eac_modifier_table[T2][s] + a2;
const int v3 = mul[3] * g_eac_modifier_table[T3][s] + a3;
l0 = std::min(l0, (basisu::iabs(v0) << 3) | s);
l1 = std::min(l1, (basisu::iabs(v1) << 3) | s);
l2 = std::min(l2, (basisu::iabs(v2) << 3) | s);
l3 = std::min(l3, (basisu::iabs(v3) << 3) | s);
}
}
sels[0][i] = l0 & 7;
sels[1][i] = l1 & 7;
sels[2][i] = l2 & 7;
sels[3][i] = l3 & 7;
total_err[0] += basisu::square<uint32_t>(l0 >> 3);
total_err[1] += basisu::square<uint32_t>(l1 >> 3);
total_err[2] += basisu::square<uint32_t>(l2 >> 3);
total_err[3] += basisu::square<uint32_t>(l3 >> 3);
}
uint32_t min_err = total_err[0], min_index = 0;
for (uint32_t i = 1; i < 4; i++)
{
if (total_err[i] < min_err)
{
min_err = total_err[i];
min_index = i;
}
}
blk.m_base = base[min_index];
blk.m_multiplier = mul[min_index];
blk.m_table = s_tables[min_index];
uint64_t packed_sels = 0;
const uint8_t* pSels = &sels[min_index][0];
for (uint32_t i = 0; i < 16; i++)
packed_sels |= (static_cast<uint64_t>(pSels[i]) << s_etc2_eac_bit_ofs[i]);
blk.set_selector_bits(packed_sels);
}
// Checks all 16 tables. Around ~2 dB better vs. pack_eac(), ~1.2 dB less than near-optimal.
static void pack_eac_high_quality(eac_block& blk, const uint8_t* pPixels, uint32_t stride)
{
uint32_t min_alpha = 255, max_alpha = 0;
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t a = pPixels[i * stride];
if (a < min_alpha) min_alpha = a;
if (a > max_alpha) max_alpha = a;
}
if (min_alpha == max_alpha)
{
pack_eac_solid_block(blk, min_alpha);
return;
}
const uint32_t alpha_range = max_alpha - min_alpha;
const uint32_t SINGLE_TABLE_THRESH = 5;
if (alpha_range <= SINGLE_TABLE_THRESH)
{
// If alpha_range <= 5 table 13 is lossless
int base = clamp255((int)max_alpha - 2);
blk.m_base = base;
blk.m_multiplier = 1;
blk.m_table = 13;
base -= 3;
uint64_t packed_sels = 0;
for (uint32_t i = 0; i < 16; i++)
{
const int a = pPixels[i * stride];
static const uint8_t s_sels[6] = { 2, 1, 0, 4, 5, 6 };
int sel = a - base;
assert(sel >= 0 && sel <= 5);
packed_sels |= (static_cast<uint64_t>(s_sels[sel]) << s_etc2_eac_bit_ofs[i]);
}
blk.set_selector_bits(packed_sels);
return;
}
int base[16], mul[16];
for (uint32_t table = 0; table < 16; table++)
{
const float range = (float)(g_eac_modifier_table[table][ETC2_EAC_MAX_VALUE_SELECTOR] - g_eac_modifier_table[table][ETC2_EAC_MIN_VALUE_SELECTOR]);
base[table] = clamp255((int)roundf(basisu::lerp((float)min_alpha, (float)max_alpha, (float)(0 - g_eac_modifier_table[table][ETC2_EAC_MIN_VALUE_SELECTOR]) / range)));
mul[table] = clampi((int)roundf(alpha_range / range), 1, 15);
}
uint32_t total_err[16];
memset(total_err, 0, sizeof(total_err));
uint8_t sels[16][16];
for (uint32_t table = 0; table < 16; table++)
{
const int8_t* pTable = &g_eac_modifier_table[table][0];
const int m = mul[table], b = base[table];
uint32_t prev_l = 0, prev_a = UINT32_MAX;
for (uint32_t i = 0; i < 16; i++)
{
const int a = pPixels[i * stride];
if ((uint32_t)a == prev_a)
{
sels[table][i] = prev_l & 7;
total_err[table] += basisu::square<uint32_t>(prev_l >> 3);
}
else
{
uint32_t l = basisu::iabs(clamp255(m * pTable[0] + b) - a) << 3;
l = std::min(l, (basisu::iabs(clamp255(m * pTable[1] + b) - a) << 3) | 1);
l = std::min(l, (basisu::iabs(clamp255(m * pTable[2] + b) - a) << 3) | 2);
l = std::min(l, (basisu::iabs(clamp255(m * pTable[3] + b) - a) << 3) | 3);
l = std::min(l, (basisu::iabs(clamp255(m * pTable[4] + b) - a) << 3) | 4);
l = std::min(l, (basisu::iabs(clamp255(m * pTable[5] + b) - a) << 3) | 5);
l = std::min(l, (basisu::iabs(clamp255(m * pTable[6] + b) - a) << 3) | 6);
l = std::min(l, (basisu::iabs(clamp255(m * pTable[7] + b) - a) << 3) | 7);
sels[table][i] = l & 7;
total_err[table] += basisu::square<uint32_t>(l >> 3);
prev_l = l;
prev_a = a;
}
}
}
uint32_t min_err = total_err[0], min_index = 0;
for (uint32_t i = 1; i < 16; i++)
{
if (total_err[i] < min_err)
{
min_err = total_err[i];
min_index = i;
}
}
blk.m_base = base[min_index];
blk.m_multiplier = mul[min_index];
blk.m_table = min_index;
uint64_t packed_sels = 0;
const uint8_t* pSels = &sels[min_index][0];
for (uint32_t i = 0; i < 16; i++)
packed_sels |= (static_cast<uint64_t>(pSels[i]) << s_etc2_eac_bit_ofs[i]);
blk.set_selector_bits(packed_sels);
}
bool transcode_uastc_to_etc2_eac_r11(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
pack_eac_solid_block(*static_cast<eac_block*>(pDst), unpacked_src_blk.m_solid_color.c[chan0]);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
if (chan0 == 3)
transcode_uastc_to_etc2_eac_a8(unpacked_src_blk, block_pixels, pDst);
else
(high_quality ? pack_eac_high_quality : pack_eac)(*static_cast<eac_block*>(pDst), &block_pixels[0][0].c[chan0], sizeof(color32));
return true;
}
bool transcode_uastc_to_etc2_eac_rg11(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0, uint32_t chan1)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
pack_eac_solid_block(static_cast<eac_block*>(pDst)[0], unpacked_src_blk.m_solid_color.c[chan0]);
pack_eac_solid_block(static_cast<eac_block*>(pDst)[1], unpacked_src_blk.m_solid_color.c[chan1]);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
if (chan0 == 3)
transcode_uastc_to_etc2_eac_a8(unpacked_src_blk, block_pixels, &static_cast<eac_block*>(pDst)[0]);
else
(high_quality ? pack_eac_high_quality : pack_eac)(static_cast<eac_block*>(pDst)[0], &block_pixels[0][0].c[chan0], sizeof(color32));
if (chan1 == 3)
transcode_uastc_to_etc2_eac_a8(unpacked_src_blk, block_pixels, &static_cast<eac_block*>(pDst)[1]);
else
(high_quality ? pack_eac_high_quality : pack_eac)(static_cast<eac_block*>(pDst)[1], &block_pixels[0][0].c[chan1], sizeof(color32));
return true;
}
// PVRTC1
static void fixup_pvrtc1_4_modulation_rgb(
const uastc_block* pSrc_blocks,
const uint32_t* pPVRTC_endpoints,
void* pDst_blocks,
uint32_t num_blocks_x, uint32_t num_blocks_y, bool from_alpha)
{
const uint32_t x_mask = num_blocks_x - 1;
const uint32_t y_mask = num_blocks_y - 1;
const uint32_t x_bits = basisu::total_bits(x_mask);
const uint32_t y_bits = basisu::total_bits(y_mask);
const uint32_t min_bits = basisu::minimum(x_bits, y_bits);
//const uint32_t max_bits = basisu::maximum(x_bits, y_bits);
const uint32_t swizzle_mask = (1 << (min_bits * 2)) - 1;
uint32_t block_index = 0;
// really 3x3
int e0[4][4], e1[4][4];
for (int y = 0; y < static_cast<int>(num_blocks_y); y++)
{
const uint32_t* pE_rows[3];
for (int ey = 0; ey < 3; ey++)
{
int by = y + ey - 1;
const uint32_t* pE = &pPVRTC_endpoints[(by & y_mask) * num_blocks_x];
pE_rows[ey] = pE;
for (int ex = 0; ex < 3; ex++)
{
int bx = 0 + ex - 1;
const uint32_t e = pE[bx & x_mask];
e0[ex][ey] = (get_opaque_endpoint_l0(e) * 255) / 31;
e1[ex][ey] = (get_opaque_endpoint_l1(e) * 255) / 31;
}
}
const uint32_t y_swizzle = (g_pvrtc_swizzle_table[y >> 8] << 16) | g_pvrtc_swizzle_table[y & 0xFF];
for (int x = 0; x < static_cast<int>(num_blocks_x); x++, block_index++)
{
const uastc_block& src_block = pSrc_blocks[block_index];
color32 block_pixels[4][4];
unpack_uastc(src_block, &block_pixels[0][0], false);
if (from_alpha)
{
// Just set RGB to alpha to avoid adding complexity below.
for (uint32_t i = 0; i < 16; i++)
{
const uint8_t a = ((color32*)block_pixels)[i].a;
((color32*)block_pixels)[i].set(a, a, a, 255);
}
}
const uint32_t x_swizzle = (g_pvrtc_swizzle_table[x >> 8] << 17) | (g_pvrtc_swizzle_table[x & 0xFF] << 1);
uint32_t swizzled = x_swizzle | y_swizzle;
if (num_blocks_x != num_blocks_y)
{
swizzled &= swizzle_mask;
if (num_blocks_x > num_blocks_y)
swizzled |= ((x >> min_bits) << (min_bits * 2));
else
swizzled |= ((y >> min_bits) << (min_bits * 2));
}
pvrtc4_block* pDst_block = static_cast<pvrtc4_block*>(pDst_blocks) + swizzled;
pDst_block->m_endpoints = pPVRTC_endpoints[block_index];
{
const uint32_t ex = 2;
int bx = x + ex - 1;
bx &= x_mask;
#define DO_ROW(ey) \
{ \
const uint32_t e = pE_rows[ey][bx]; \
e0[ex][ey] = (get_opaque_endpoint_l0(e) * 255) / 31; \
e1[ex][ey] = (get_opaque_endpoint_l1(e) * 255) / 31; \
}
DO_ROW(0);
DO_ROW(1);
DO_ROW(2);
#undef DO_ROW
}
uint32_t mod = 0;
#define DO_PIX(lx, ly, w0, w1, w2, w3) \
{ \
int ca_l = a0 * w0 + a1 * w1 + a2 * w2 + a3 * w3; \
int cb_l = b0 * w0 + b1 * w1 + b2 * w2 + b3 * w3; \
int cl = (block_pixels[ly][lx].r + block_pixels[ly][lx].g + block_pixels[ly][lx].b) * 16; \
int dl = cb_l - ca_l; \
int vl = cl - ca_l; \
int p = vl * 16; \
if (ca_l > cb_l) { p = -p; dl = -dl; } \
uint32_t m = 0; \
if (p > 3 * dl) m = (uint32_t)(1 << ((ly) * 8 + (lx) * 2)); \
if (p > 8 * dl) m = (uint32_t)(2 << ((ly) * 8 + (lx) * 2)); \
if (p > 13 * dl) m = (uint32_t)(3 << ((ly) * 8 + (lx) * 2)); \
mod |= m; \
}
{
const uint32_t ex = 0, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 0, 4, 4, 4, 4);
DO_PIX(1, 0, 2, 6, 2, 6);
DO_PIX(0, 1, 2, 2, 6, 6);
DO_PIX(1, 1, 1, 3, 3, 9);
}
{
const uint32_t ex = 1, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 0, 8, 0, 8, 0);
DO_PIX(3, 0, 6, 2, 6, 2);
DO_PIX(2, 1, 4, 0, 12, 0);
DO_PIX(3, 1, 3, 1, 9, 3);
}
{
const uint32_t ex = 0, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 2, 8, 8, 0, 0);
DO_PIX(1, 2, 4, 12, 0, 0);
DO_PIX(0, 3, 6, 6, 2, 2);
DO_PIX(1, 3, 3, 9, 1, 3);
}
{
const uint32_t ex = 1, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 2, 16, 0, 0, 0);
DO_PIX(3, 2, 12, 4, 0, 0);
DO_PIX(2, 3, 12, 0, 4, 0);
DO_PIX(3, 3, 9, 3, 3, 1);
}
#undef DO_PIX
pDst_block->m_modulation = mod;
e0[0][0] = e0[1][0]; e0[1][0] = e0[2][0];
e0[0][1] = e0[1][1]; e0[1][1] = e0[2][1];
e0[0][2] = e0[1][2]; e0[1][2] = e0[2][2];
e1[0][0] = e1[1][0]; e1[1][0] = e1[2][0];
e1[0][1] = e1[1][1]; e1[1][1] = e1[2][1];
e1[0][2] = e1[1][2]; e1[1][2] = e1[2][2];
} // x
} // y
}
static void fixup_pvrtc1_4_modulation_rgba(
const uastc_block* pSrc_blocks,
const uint32_t* pPVRTC_endpoints,
void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y)
{
const uint32_t x_mask = num_blocks_x - 1;
const uint32_t y_mask = num_blocks_y - 1;
const uint32_t x_bits = basisu::total_bits(x_mask);
const uint32_t y_bits = basisu::total_bits(y_mask);
const uint32_t min_bits = basisu::minimum(x_bits, y_bits);
//const uint32_t max_bits = basisu::maximum(x_bits, y_bits);
const uint32_t swizzle_mask = (1 << (min_bits * 2)) - 1;
uint32_t block_index = 0;
// really 3x3
int e0[4][4], e1[4][4];
for (int y = 0; y < static_cast<int>(num_blocks_y); y++)
{
const uint32_t* pE_rows[3];
for (int ey = 0; ey < 3; ey++)
{
int by = y + ey - 1;
const uint32_t* pE = &pPVRTC_endpoints[(by & y_mask) * num_blocks_x];
pE_rows[ey] = pE;
for (int ex = 0; ex < 3; ex++)
{
int bx = 0 + ex - 1;
const uint32_t e = pE[bx & x_mask];
e0[ex][ey] = get_endpoint_l8(e, 0);
e1[ex][ey] = get_endpoint_l8(e, 1);
}
}
const uint32_t y_swizzle = (g_pvrtc_swizzle_table[y >> 8] << 16) | g_pvrtc_swizzle_table[y & 0xFF];
for (int x = 0; x < static_cast<int>(num_blocks_x); x++, block_index++)
{
const uastc_block& src_block = pSrc_blocks[block_index];
color32 block_pixels[4][4];
unpack_uastc(src_block, &block_pixels[0][0], false);
const uint32_t x_swizzle = (g_pvrtc_swizzle_table[x >> 8] << 17) | (g_pvrtc_swizzle_table[x & 0xFF] << 1);
uint32_t swizzled = x_swizzle | y_swizzle;
if (num_blocks_x != num_blocks_y)
{
swizzled &= swizzle_mask;
if (num_blocks_x > num_blocks_y)
swizzled |= ((x >> min_bits) << (min_bits * 2));
else
swizzled |= ((y >> min_bits) << (min_bits * 2));
}
pvrtc4_block* pDst_block = static_cast<pvrtc4_block*>(pDst_blocks) + swizzled;
pDst_block->m_endpoints = pPVRTC_endpoints[block_index];
{
const uint32_t ex = 2;
int bx = x + ex - 1;
bx &= x_mask;
#define DO_ROW(ey) \
{ \
const uint32_t e = pE_rows[ey][bx]; \
e0[ex][ey] = get_endpoint_l8(e, 0); \
e1[ex][ey] = get_endpoint_l8(e, 1); \
}
DO_ROW(0);
DO_ROW(1);
DO_ROW(2);
#undef DO_ROW
}
uint32_t mod = 0;
#define DO_PIX(lx, ly, w0, w1, w2, w3) \
{ \
int ca_l = a0 * w0 + a1 * w1 + a2 * w2 + a3 * w3; \
int cb_l = b0 * w0 + b1 * w1 + b2 * w2 + b3 * w3; \
int cl = 16 * (block_pixels[ly][lx].r + block_pixels[ly][lx].g + block_pixels[ly][lx].b + block_pixels[ly][lx].a); \
int dl = cb_l - ca_l; \
int vl = cl - ca_l; \
int p = vl * 16; \
if (ca_l > cb_l) { p = -p; dl = -dl; } \
uint32_t m = 0; \
if (p > 3 * dl) m = (uint32_t)(1 << ((ly) * 8 + (lx) * 2)); \
if (p > 8 * dl) m = (uint32_t)(2 << ((ly) * 8 + (lx) * 2)); \
if (p > 13 * dl) m = (uint32_t)(3 << ((ly) * 8 + (lx) * 2)); \
mod |= m; \
}
{
const uint32_t ex = 0, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 0, 4, 4, 4, 4);
DO_PIX(1, 0, 2, 6, 2, 6);
DO_PIX(0, 1, 2, 2, 6, 6);
DO_PIX(1, 1, 1, 3, 3, 9);
}
{
const uint32_t ex = 1, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 0, 8, 0, 8, 0);
DO_PIX(3, 0, 6, 2, 6, 2);
DO_PIX(2, 1, 4, 0, 12, 0);
DO_PIX(3, 1, 3, 1, 9, 3);
}
{
const uint32_t ex = 0, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 2, 8, 8, 0, 0);
DO_PIX(1, 2, 4, 12, 0, 0);
DO_PIX(0, 3, 6, 6, 2, 2);
DO_PIX(1, 3, 3, 9, 1, 3);
}
{
const uint32_t ex = 1, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 2, 16, 0, 0, 0);
DO_PIX(3, 2, 12, 4, 0, 0);
DO_PIX(2, 3, 12, 0, 4, 0);
DO_PIX(3, 3, 9, 3, 3, 1);
}
#undef DO_PIX
pDst_block->m_modulation = mod;
e0[0][0] = e0[1][0]; e0[1][0] = e0[2][0];
e0[0][1] = e0[1][1]; e0[1][1] = e0[2][1];
e0[0][2] = e0[1][2]; e0[1][2] = e0[2][2];
e1[0][0] = e1[1][0]; e1[1][0] = e1[2][0];
e1[0][1] = e1[1][1]; e1[1][1] = e1[2][1];
e1[0][2] = e1[1][2]; e1[1][2] = e1[2][2];
} // x
} // y
}
bool transcode_uastc_to_pvrtc1_4_rgb(const uastc_block* pSrc_blocks, void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, bool high_quality, bool from_alpha)
{
BASISU_NOTE_UNUSED(high_quality);
if ((!num_blocks_x) || (!num_blocks_y))
return false;
const uint32_t width = num_blocks_x * 4;
const uint32_t height = num_blocks_y * 4;
if (!basisu::is_pow2(width) || !basisu::is_pow2(height))
return false;
std::vector<uint32_t> temp_endpoints(num_blocks_x * num_blocks_y);
for (uint32_t y = 0; y < num_blocks_y; y++)
{
for (uint32_t x = 0; x < num_blocks_x; x++)
{
color32 block_pixels[16];
if (!unpack_uastc(pSrc_blocks[x + y * num_blocks_x], block_pixels, false))
return false;
// Get block's RGB bounding box
color32 low_color(255, 255, 255, 255), high_color(0, 0, 0, 0);
if (from_alpha)
{
uint32_t low_a = 255, high_a = 0;
for (uint32_t i = 0; i < 16; i++)
{
low_a = std::min<uint32_t>(low_a, block_pixels[i].a);
high_a = std::max<uint32_t>(high_a, block_pixels[i].a);
}
low_color.set(low_a, low_a, low_a, 255);
high_color.set(high_a, high_a, high_a, 255);
}
else
{
for (uint32_t i = 0; i < 16; i++)
{
low_color = color32::comp_min(low_color, block_pixels[i]);
high_color = color32::comp_max(high_color, block_pixels[i]);
}
}
// Set PVRTC1 endpoints to floor/ceil of bounding box's coordinates.
pvrtc4_block temp;
temp.set_opaque_endpoint_floor(0, low_color);
temp.set_opaque_endpoint_ceil(1, high_color);
temp_endpoints[x + y * num_blocks_x] = temp.m_endpoints;
}
}
fixup_pvrtc1_4_modulation_rgb(pSrc_blocks, &temp_endpoints[0], pDst_blocks, num_blocks_x, num_blocks_y, from_alpha);
return true;
}
bool transcode_uastc_to_pvrtc1_4_rgba(const uastc_block* pSrc_blocks, void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, bool high_quality)
{
BASISU_NOTE_UNUSED(high_quality);
if ((!num_blocks_x) || (!num_blocks_y))
return false;
const uint32_t width = num_blocks_x * 4;
const uint32_t height = num_blocks_y * 4;
if (!basisu::is_pow2(width) || !basisu::is_pow2(height))
return false;
std::vector<uint32_t> temp_endpoints(num_blocks_x * num_blocks_y);
for (uint32_t y = 0; y < num_blocks_y; y++)
{
for (uint32_t x = 0; x < num_blocks_x; x++)
{
color32 block_pixels[16];
if (!unpack_uastc(pSrc_blocks[x + y * num_blocks_x], block_pixels, false))
return false;
// Get block's RGBA bounding box
color32 low_color(255, 255, 255, 255), high_color(0, 0, 0, 0);
for (uint32_t i = 0; i < 16; i++)
{
low_color = color32::comp_min(low_color, block_pixels[i]);
high_color = color32::comp_max(high_color, block_pixels[i]);
}
// Set PVRTC1 endpoints to floor/ceil of bounding box's coordinates.
pvrtc4_block temp;
temp.set_endpoint_floor(0, low_color);
temp.set_endpoint_ceil(1, high_color);
temp_endpoints[x + y * num_blocks_x] = temp.m_endpoints;
}
}
fixup_pvrtc1_4_modulation_rgba(pSrc_blocks, &temp_endpoints[0], pDst_blocks, num_blocks_x, num_blocks_y);
return true;
}
void uastc_init()
{
for (uint32_t range = 0; range < BC7ENC_TOTAL_ASTC_RANGES; range++)
{
if (!astc_is_valid_endpoint_range(range))
continue;
const uint32_t levels = astc_get_levels(range);
uint32_t vals[256];
for (uint32_t i = 0; i < levels; i++)
vals[i] = (unquant_astc_endpoint_val(i, range) << 8) | i;
std::sort(vals, vals + levels);
for (uint32_t i = 0; i < levels; i++)
{
const uint32_t order = vals[i] & 0xFF;
const uint32_t unq = vals[i] >> 8;
g_astc_unquant[range][order].m_unquant = (uint8_t)unq;
g_astc_unquant[range][order].m_index = (uint8_t)i;
} // i
}
// TODO: Precompute?
// BC7 777.1
for (int c = 0; c < 256; c++)
{
for (uint32_t lp = 0; lp < 2; lp++)
{
endpoint_err best;
best.m_error = (uint16_t)UINT16_MAX;
for (uint32_t l = 0; l < 128; l++)
{
const uint32_t low = (l << 1) | lp;
for (uint32_t h = 0; h < 128; h++)
{
const uint32_t high = (h << 1) | lp;
const int k = (low * (64 - g_bc7_weights4[BC7ENC_MODE_6_OPTIMAL_INDEX]) + high * g_bc7_weights4[BC7ENC_MODE_6_OPTIMAL_INDEX] + 32) >> 6;
const int err = (k - c) * (k - c);
if (err < best.m_error)
{
best.m_error = (uint16_t)err;
best.m_lo = (uint8_t)l;
best.m_hi = (uint8_t)h;
}
} // h
} // l
g_bc7_mode_6_optimal_endpoints[c][lp] = best;
} // lp
} // c
// BC7 777
for (int c = 0; c < 256; c++)
{
endpoint_err best;
best.m_error = (uint16_t)UINT16_MAX;
for (uint32_t l = 0; l < 128; l++)
{
const uint32_t low = (l << 1) | (l >> 6);
for (uint32_t h = 0; h < 128; h++)
{
const uint32_t high = (h << 1) | (h >> 6);
const int k = (low * (64 - g_bc7_weights2[BC7ENC_MODE_5_OPTIMAL_INDEX]) + high * g_bc7_weights2[BC7ENC_MODE_5_OPTIMAL_INDEX] + 32) >> 6;
const int err = (k - c) * (k - c);
if (err < best.m_error)
{
best.m_error = (uint16_t)err;
best.m_lo = (uint8_t)l;
best.m_hi = (uint8_t)h;
}
} // h
} // l
g_bc7_mode_5_optimal_endpoints[c] = best;
} // c
}
#endif // #if BASISD_SUPPORT_UASTC
} // namespace basist
/**** ended inlining basisu_transcoder.cpp ****/
/**
* Collection of unused functions and const variables to work around \c
* -Wunused-function and \c -Wunused-const-variable warnings.
*
* \todo LTO does its thing so any unused are removed but is there a better way?
*/
void _basisu_translib_dummy() {
// These first ones are not used at all
BASISU_NOTE_UNUSED(&basisu::byteswap16);
BASISU_NOTE_UNUSED(&basisu::byteswap32);
BASISU_NOTE_UNUSED(basisu::BASISU_PATH_SEPERATOR_CHAR);
BASISU_NOTE_UNUSED(basisu::cHuffmanTotalSortedCodelengthCodes);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL0_DELTA_LO);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL0_DELTA_HI);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL1_DELTA_LO);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL1_DELTA_HI);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL2_DELTA_LO);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL2_DELTA_HI);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL2_PREV_HI);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL_MIN_DELTA_B_RUNLEN);
BASISU_NOTE_UNUSED(basist::COLOR5_PAL_DELTA_5_RUNLEN_VLC_BITS);
BASISU_NOTE_UNUSED(basist::NO_ENDPOINT_PRED_INDEX);
BASISU_NOTE_UNUSED(basist::MAX_SELECTOR_HISTORY_BUF_SIZE);
#if BASISD_SUPPORT_ETC2_EAC_A8
// Unused but only when building with EAC
BASISU_NOTE_UNUSED(basist::g_eac_modifier_table);
#endif
#if BASISD_SUPPORT_PVRTC1 == 0
// Unused only when not building with PVRTC
BASISU_NOTE_UNUSED(basist::g_etc1_inten_tables16);
BASISU_NOTE_UNUSED(basist::g_etc1_inten_tables48);
BASISU_NOTE_UNUSED(basist::g_etc_5_to_8);
BASISU_NOTE_UNUSED(basist::g_etc1_x_selector_unpack);
#endif
}