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1271 lines
78 KiB
1271 lines
78 KiB
![]()
4 years ago
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// validat2.cpp - originally written and placed in the public domain by Wei Dai and Jeffrey Walton
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// Routines in this source file are only tested in Debug builds.
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// Source files split in July 2018 to expedite compiles.
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#include "pch.h"
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#define CRYPTOPP_ENABLE_NAMESPACE_WEAK 1
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#include "cryptlib.h"
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#include "cpu.h"
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#include "validate.h"
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#include "algebra.h"
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#include "integer.h"
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#include "nbtheory.h"
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#include <iostream>
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#include <iomanip>
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#include <sstream>
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// Aggressive stack checking with VS2005 SP1 and above.
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#if (_MSC_FULL_VER >= 140050727)
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# pragma strict_gs_check (on)
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#endif
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#if CRYPTOPP_MSC_VERSION
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# pragma warning(disable: 4505 4355)
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#endif
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NAMESPACE_BEGIN(CryptoPP)
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NAMESPACE_BEGIN(Test)
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#if defined(CRYPTOPP_EXTENDED_VALIDATION)
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bool TestIntegerBitops()
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{
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std::cout << "\nTesting Integer bit operations...\n\n";
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struct Bitops_TestTuple
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{
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// m,n are operands; a,o,x are and,or,xor results
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const char *m, *n, *a, *o, *x;
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};
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static const Bitops_TestTuple tests[] = {
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{
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"0xc2cea8a4", "0xb36e5794", "0x824e0084", "0xf3eeffb4", "0x71a0ff30"
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},
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{
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"0x436eb828", "0x1b375cb4", "0x3261820", "0x5b7ffcbc", "0x5859e49c"
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},
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{
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"0x1e5c0b28", "0x4fded465", "0xe5c0020", "0x5fdedf6d", "0x5182df4d"
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},
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{
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"0xeb71fde7", "0xf7bb47cf", "0xe33145c7", "0xfffbffef", "0x1ccaba28"
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},
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{
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"0xa6b0f01f", "0x8a8ca98", "0xa0c018", "0xaeb8fa9f", "0xae183a87"
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},
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{
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"0xa70bd8b7", "0x5c758cf5", "0x40188b5", "0xff7fdcf7", "0xfb7e5442"
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},
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{
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"0xf91af382", "0x718a9995", "0x710a9180", "0xf99afb97", "0x88906a17"
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},
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{
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"0xbd2a76ad", "0xddd8dfeb", "0x9d0856a9", "0xfdfaffef", "0x60f2a946"
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},
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{
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"0xd4b559cc", "0x91a53295", "0x90a51084", "0xd5b57bdd", "0x45106b59"
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},
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{
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"0x89434e9e", "0xa42fdaf9", "0x80034a98", "0xad6fdeff", "0x2d6c9467"
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},
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{
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"0xb947ac04", "0xd4201e52", "0x90000c00", "0xfd67be56", "0x6d67b256"
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},
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{
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"0xa83945c1", "0x3a9c5dba", "0x28184580", "0xbabd5dfb", "0x92a5187b"
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},
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{
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"0xbca38ffa", "0x881ba9fd", "0x880389f8", "0xbcbbafff", "0x34b82607"
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},
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{
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"0xfcd0b92", "0xeaad8534", "0xa8d0110", "0xefed8fb6", "0xe5608ea6"
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},
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{
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"0x50d160d0", "0x64646f75", "0x40406050", "0x74f56ff5", "0x34b50fa5"
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},
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{
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"0x165ccff8", "0x67d49127", "0x6548120", "0x77dcdfff", "0x71885edf"
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},
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{
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"0x8c4f4bbb7adaacb5", "0x2566b7a909b24aa9", "0x44603a9089208a1", "0xad6fffbb7bfaeebd", "0xa929fc127368e61c"
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},
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{
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"0x6f9ef50aafb31e8d", "0x7a93b2ccd1bbbff2", "0x6a92b00881b31e80", "0x7f9ff7ceffbbbfff", "0x150d47c67e08a17f"
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},
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{
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"0x4c99e967f8de5294", "0x1f4699e0c14e6974", "0xc008960c04e4014", "0x5fdff9e7f9de7bf4", "0x53df708739903be0"
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},
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{
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"0xcc55f5d6d3ea45c", "0x6805b4ddb6390c2f", "0x805145d2438040c", "0x6cc5ffddff3fac7f", "0x64c0eb80db07a873"
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},
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{
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"0x90620d1a012459e7", "0x89d31098ce3fed42", "0x8042001800244942", "0x99f31d9acf3ffde7", "0x19b11d82cf1bb4a5"
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},
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{
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"0xb87d1674e90a935a", "0x75ea466cbb782ac4", "0x30680664a9080240", "0xfdff567cfb7abbde", "0xcd9750185272b99e"
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},
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{
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"0x1f135732240701f0", "0x6aa09a1614bf4dd4", "0xa001212040701d0", "0x7fb3df3634bf4df4", "0x75b3cd2430b84c24"
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},
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{
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"0xc9a88d8300099a31", "0xdc8e91df745169ee", "0xc888818300010820", "0xddae9ddf7459fbff", "0x15261c5c7458f3df"
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},
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{
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"0xc8c828d15228b562", "0x43f86cffa3d15d80", "0x40c828d102001500", "0xcbf86cfff3f9fde2", "0x8b30442ef1f9e8e2"
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},
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{
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"0x41fdc0bc2009563f", "0x59dd1c417e3c07bc", "0x41dd00002008063c", "0x59fddcfd7e3d57bf", "0x1820dcfd5e355183"
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},
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{
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"0x9e2f78600c3a84e7", "0xac69a0e1fe7887b0", "0x8c2920600c3884a0", "0xbe6ff8e1fe7a87f7", "0x3246d881f2420357"
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},
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{
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"0xd424d1d9a955f617", "0x9608f5bde1c4d893", "0x9400d199a144d013", "0xd62cf5fde9d5fe97", "0x422c246448912e84"
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},
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{
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"0x1aa8b60a0627719a", "0x5b26e6aca95f5f60", "0x1a20a60800075100", "0x5baef6aeaf7f7ffa", "0x418e50a6af782efa"
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},
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{
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"0xcf5db499233fac00", "0xf33e7a29c3c33da8", "0xc31c300903032c00", "0xff7ffeb9e3ffbda8", "0x3c63ceb0e0fc91a8"
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},
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{
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"0x6b47c03d576e878d", "0x2032d13574d67da4", "0x2002c03554460584", "0x6b77d13d77feffad", "0x4b75110823b8fa29"
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},
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{
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"0xd47eeb3aefebf074", "0x6d7ba17a42c66b89", "0x447aa13a42c26000", "0xfd7feb7aefeffbfd", "0xb9054a40ad2d9bfd"
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},
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{
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"0x33ad9c5d20b03f5c05535f20a2941c8f4ae0f1f19500759151060dce39e5dfed41ec4f",
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"0x277401dc000fde7eda4d60a5698935f7febd8fbe49e5d6f56ca2e7f6118380d3cd655da392df3ba6c1b13dc0119af34cfa1d18a65",
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"0x10a9841c002016480453410020041c8640c0312191006411110401082924cfa1418845",
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"0x277401dc000fde7eda4d60a5698935f7febfbfffcdf7dff7fde2f7f7f38ba9d3cdf5ffaf9fdf7ba7d9b53de0ddfbff5dfedd1ee6f",
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"0x277401dc000fde7eda4d60a5698935f7febeb5678c37ddf69962b2c3e389a9920591f3ac8dc66ba198a42da0cd796d1104c90662a"
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|
},
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||
|
{
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"0xb6ea335c13111216862e370d12fb9c761a6266617f62a1904b0d7944ab3cddc71f11752ad9424b0",
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"0xa6b380f048a9cbe45ff4ea824064c831eb03ff875e1e3e",
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"0xa62200104028090410d480020044c831e1035285140430",
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"0xb6ea335c13111216862e370d12fb9c761a6b7e6f7feabdbe4fff7fecaf3eddc71fb17ffafde3ebe",
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"0xb6ea335c13111216862e370d12fb9c7610095e6e7be83d2e0ef237ec8f3a914401a14ad2aca3a8e"
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|
},
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||
|
{
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||
|
"0x8fb9486ad1f89ca5b3f6da9f0d5ef9ec328b8cc3e5122afbd8a67bd1b2b4ab5c548b90cf9fe1933a0362922f1e84ef0",
|
||
|
"0x10615f963dffc13718ed1ecdb9cfbef33148befeb91b190dc7e7d28d8821ff248ab26a34e1b89885c643e447c72",
|
||
|
"0x6051901ca58136188d0c4cb9cc32830040a412281b180443c192848800540080820a208138000082030404c70",
|
||
|
"0x8fb9586bdffebdfff3f7daff1fdff9efbefbbdcbfffebbfbd9affff7f2bdab7dffaf9afffff5f3ba9be7d66ffec7ef2",
|
||
|
"0x8fb9580b8e6ea15a72c1c272139340238c78bd8b5bec93e0c1abbc366039237dabaf1a7df5d572829be7546cfac3282"
|
||
|
},
|
||
|
{
|
||
|
"0x10af96443b186faf790279bf3bbe0517d56ffc01e7fec8c88e765d48cc32333390224f4d762d1ba788c50801cba02524cb49",
|
||
|
"0x95d44e7344fb1701bace3ae83affbb6290bf282f7565b9a82c386823f5f213a53eccb2cfe5deb4dd040067a64ada8c1b6828599b96cc70647e7d19dc7dfba393addabe689ffbe1a36642bc9844b81c6c4c2e178",
|
||
|
"0x2c96442b084000000260ad288004028509b800c70640c080144548883032118022094d3608122408c1000181800400c148",
|
||
|
"0x95d44e7344fb1701bace3ae83affbb6290bf282f7565b9a82c386823f5f213a53ecdbaffe5dfb5dffef7f7a7dbfbbffb797d5fffd6de7fecfefdfffdfdffe3b3bffbbe6cffffe3f3fe7abcd8c4bcbe6e5e6eb79",
|
||
|
"0x95d44e7344fb1701bace3ae83affbb6290bf282f7565b9a82c386823f5f213a53ecdb836819d055bfef7f781d12937fb39550f6456d20f88f2f5feb9a97760b09ee3bc4c6b2c8372dc3a30c8c4a4a66e1e62a31"
|
||
|
},
|
||
|
{
|
||
|
"0x5fc77dab8cd9c1da8c91eb7ba9c23ce85375b61bf3b9a8c4e4df7bc917aa8a14e747888c9756a2be2fd2e256e44194ce093a0185594de0dcf8340c45b6af7dbdc7682fbef6313f9f1cb234689d9f1ff603e1273faad89d0fe1ab57fbc7c32d29dce125fafc973754464b55ae5de58a8a5661c2065b95c2c94d7ec34",
|
||
|
"0xd4a9158961d4c11258cd047eda13d6804c16c3a374b7f4115bd835bde0b5",
|
||
|
"0x1080158800548100504504649012c480480081221420641158081495e034",
|
||
|
"0x5fc77dab8cd9c1da8c91eb7ba9c23ce85375b61bf3b9a8c4e4df7bc917aa8a14e747888c9756a2be2fd2e256e44194ce093a0185594de0dcf8340c45b6af7dbdc7682fbef6313f9f1cb234689d9f1ff603e1273faad89d0fe1ab57fbc7cf6fb9dcf73dfefdb7bfd447eff5bf7de5cbee7e77cb7f5b95ffcb5ffecb5",
|
||
|
"0x5fc77dab8cd9c1da8c91eb7ba9c23ce85375b61bf3b9a8c4e4df7bc917aa8a14e747888c9756a2be2fd2e256e44194ce093a0185594de0dcf8340c45b6af7dbdc7682fbef6313f9f1cb234689d9f1ff603e1273faad89d0fe1ab57fbc7ce67b8847738b6edb2bb8401a6f49335e14be66c5689791a807f4a16a0c81"
|
||
|
},
|
||
|
{
|
||
|
"0x52cbea1f4d78445fb8f9267203f0f04bddf65b69b1acb0877143e77317f2d9679cb",
|
||
|
"0x331e156a1e1daa0039926a08ec80c2d7c1500bc435a53ebfc32fa398a3304fcd79d90725528e320add050da666b9de42b8307b",
|
||
|
"0x88421a41684412b839023200f0d00990725128a120a0805042666315e0090304b",
|
||
|
"0x331e156a1e1daa0039926a08ec80c2d7c1552ffeb5f5ffbfc7ffaf9ae7307fcf7dfddf65f69f3acbdd771dbe77b9ff6fbe79fb",
|
||
|
"0x331e156a1e1daa0039926a08ec80c2d7c155277a9451e93b86d42c0ac41070c27d64d840e41528c1d57219981188a16f2e49b0"
|
||
|
},
|
||
|
{
|
||
|
"0xbde7e20f37c3ed822555d36050240dcfb5a9a3867d149cffe78e92b95573cbdde33a8c9495148e04cafa1325aae058b4a98c50f7019de1345de6dce12436bed4b86eca2d",
|
||
|
"0xee480b4096f0c1ac565d623dd53b62dba81c507d3c8e15372396fa49de0ecf074fb0ed1785f00f8094022ff50fc436a7cbd18de8ff317c33ea9bdbd8814a7658fcd1fd10b2ed10eaf7e4c2b8f409df3c36f1f0c986a49805a9ed08bbcd603e2eec9e18",
|
||
|
"0x547a00d1781e0020014022050040406a58981846814107c238a929950014a544038809410108c00caf20000a8e00894280450f00184a01005a0cc0020042014286c8a08",
|
||
|
"0xee480b4096f0c1ac565d623dd53b62dba81c507d3c8e15372396fa49de0ecfbfeff2ef37c7fd8fa5d5d36ff52fcdffb7ebf38ffdffbdfff7ee9bfbddf3cbfffbfeddfd95b6ef14eafff7e7baf459ffbdbef1f7c99fe5bc5deffde9bffffefebeeede3d",
|
||
|
"0xee480b4096f0c1ac565d623dd53b62dba81c507d3c8e15372396fa49de0ecfbaa852e220461d8da5c1d14fa52bc9f91262720b95ebad83d46409628df281abbbc65d6985a66314200df7e71214516b95baa107c81b45ac584f31e99ffbdeea96825435"
|
||
|
},
|
||
|
{
|
||
|
"0x17ed0a1aa80542396e82ab79f6d4dda731d10f9487467fcfa5c8b501fa86488fbe268605c01beb257c9e301a42833d22965ea2ff0eda5f18427481a300a8f9aa81e76d774ea1dbed40268eca094bef627d2c206f6885fc12f71557bfda836",
|
||
|
"0x422340e8ff3b4177efa5f58111fe306aa602d8020164fa34c12acdb3de81e",
|
||
|
"0x2340604e21416540248480014a2062240000020004f810c10045b3da816",
|
||
|
"0x17ed0a1aa80542396e82ab79f6d4dda731d10f9487467fcfa5c8b501fa86488fbe268605c01beb257c9e301a42833d22965ea2ff0eda5f18427481a300a8f9aac3e76dffffbbdbffefa7ffcb19ffff6aff2ef86f69e5fe36f73fdfbfde83e",
|
||
|
"0x17ed0a1aa80542396e82ab79f6d4dda731d10f9487467fcfa5c8b501fa86488fbe268605c01beb257c9e301a42833d22965ea2ff0eda5f18427481a300a8f9aac3c42d9fb19a9a9aaf837b4b18b5df08db2ef86d69e10626363f9a0c04028"
|
||
|
},
|
||
|
{
|
||
|
"0x290796408a0b8baa742b9d466afc4958528f7976fdce50caa83ed63285f58d200e4c65842ea24c3d4a3850a1824b61d25af9d3b41b9e64407a5262a75d9efd08481cfbc339ae26b0755438894b9e2298a35ed9",
|
||
|
"0x4cb6f7935f5cc586320c6ce957f82cff774cde7d4201735a5acd22190fcb1c9c16d1887a",
|
||
|
"0x4012f193141884040008406007580cfd00481c794201220210450018094b1c0010810858",
|
||
|
"0x290796408a0b8baa742b9d466afc4958528f7976fdce50caa83ed63285f58d200e4c65842ea24c3d4a3850a1824b61defeffd3ff5fdfe6727e7eebf7fdbeff7f4cdeffc339ff7efafd76398fcb9ebe9ef3defb",
|
||
|
"0x290796408a0b8baa742b9d466afc4958528f7976fdce50caa83ed63285f58d200e4c65842ea24c3d4a3850a1824b619eec0e40eb475be272763e8bf0a5b2027f04c2868138dd7ceab87621868082be8e72d6a3"
|
||
|
},
|
||
|
{
|
||
|
"0x14e55ecb09d8c6827022df7c713c05a5d882e25782",
|
||
|
"0x2dbdb54cb6341fcea6f67cfaa5186aa0a91b9782e362cbb0dd0ef3cbc130ce0cb2ce7232c0562",
|
||
|
"0x10600e020898048060209c1000200124c002200502",
|
||
|
"0x2dbdb54cb6341fcea6f67cfaa5186aa0a91bdfd7eff2dfbcfd2ff3eff7f7dfccfadffa3ee57e2",
|
||
|
"0x2dbdb54cb6341fcea6f67cfaa5186aa0a91ad9d70fd2563cb529f1e636f7ddcce893fa1ce52e0"
|
||
|
},
|
||
|
{
|
||
|
"0x2b0dfd23fc740e1759697bcba800aa1be7df28c59fe72b9869766ac34ecb4e5d0dbc74c2cbb5f734bb8d38dab59c3f22cdc706c657839580c2793c4c7660606548c048a697db3dfbad82e695c605",
|
||
|
"0x33080f6fd52aeca572f24a98ff19b9e7327c3b951ccfd8c9a6b9bd6f7c940079e4be88178a2a6d5a2b17",
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"0x30007249108288030900a00cd0100c612001180004918482620206548800020849a0813880264100205",
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"0x2b0dfd23fc740e1759697bcba800aa1be7df28c59fe72b9869766ac34ecb4e5d0dbc74c2fbbdff7fffaffcfff7fe7fbaffdfbfe777ffbf95defffccdf6f9fd6f7cd448fff7ffbdffafaaefdfef17",
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"0x2b0dfd23fc740e1759697bcba800aa1be7df28c59fe72b9869766ac34ecb4e5d0dbc74c2f8bdf85b6ea7d47fc76e75ba32debf2165ffae15deb6e485d0d9dd0a345448df7365b5ec27a88bcfed12"
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{
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"0xc0cc21922748d7626df1ab92b4ad4df1861050ca7de74adb92a140",
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"0x3531a6880ccc47bc3826056efe912f3db02df9c0b6931e253ab9248f472359fe59218690f6781f35da89b8f1ff45cd5a1db9a414c9d7ec62ff5859a1572b1c1880a99aa74ebe8b12c68e791c11dd6cc0e5ed5",
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"0xc40192054091400800898234a948b104004080410542c8020040",
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"0x3531a6880ccc47bc3826056efe912f3db02df9c0b6931e253ab9248f472359fe59218690f6781f35da89b8f1ff45cd5a1db9a414c9d7ec6effda59a377af7e3edfbbbbaf4efedf1ae78f7dbfdffdedf9effd5",
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"0x3531a6880ccc47bc3826056efe912f3db02df9c0b6931e253ab9248f472359fe59218690f6781f35da89b8f1ff45cd5a1db9a414c9d7ec6ef39a408323a66a3e5fb3238c046a540aa78b75bbcfa9c179cff95"
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{
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"0x68cbb0a526d1fa61003e12401db51090fa4649b00b7be7465d0eb18f74c86157a919",
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"0x1ca7d6f9bc3e11d3c365af63bf9499b6c7e9c569da7361f0214b8d",
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"0x1610001c111080600641b00019a6464904218a704060010909",
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"0x68cbb0a526d1fa7da7fefbfc3fb5d3d3ffef6bbf9ffbf7c7fdcff9df77e9f177eb9d",
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"0x68cbb0a526d1fa7da7e8ebfc23a4c3539fe92a0f9fe25181b4cbd85507a99176e294"
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},
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{
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"0x210bef18d384992c5eb72e2b362c7296d9810f5ba9fd25e2d5648989d65095e45d1478f2a83140a0f68033a08fa3d7c392a3dc77e8e6aeba9ed76038e9e7825255fac990bf1098e6f9cba0",
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"0xdb48641b3f63e5f1f41ff3b1578c4b190de42379d45cba03c4c6f34b1b14ea930fdff90dca53116710228e45b081fbddc9273a542e6f689642453adb91086bdb99681342113262d67f5517f2691024fe367459b01872549211067798063cc00b16c883b8cd2ffaa6d6116863f204bb23ce26c5bcdaf3e1b816dcf65ca",
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"0x21014200d280002452a52800062c309681000113202d25e051640081024081644510008220010000660000208c00914080238c52e8a22c201686202049a20042445ac9803e108064c94180",
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"0xdb48641b3f63e5f1f41ff3b1578c4b190de42379d45cba03c4c6f34b1b14ea930fdff90dca53116710228e45b081fbddc9273afeffef78dfd2c5fbfbf3bb6bdfb96d9b52f5baffd67f7d57faf99d65ff7e75d9f79f7ad7961b0f7f9b3e3cfa3f7ef9abbdcf7ffeeeffb9ed77f38ebf7bef27dfbcdbfbf1b99efffefea",
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"0xdb48641b3f63e5f1f41ff3b1578c4b190de42379d45cba03c4c6f34b1b14ea930fdff90dca53116710228e45b081fbddc9252aeadfe250dfd080d1a973bb091cb0058b52e488fd04217841baf18d41f7683188f79758d7861b091f9b3c343a366af1a9850a5174cc3db88515f18a255beb039a1043f810b198b36ae6a"
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{
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"0x2d58b8b513f4bceb8300f8b978e31c163f36155e9678bb0f221ee7cbcf7262b9d53c7a395ea916218fa2478baada74f3e69df63a7be0c9554c07004f9e4d869642bbd63a9fe07138a6aef7ad14c74231cf6401c597f9b6d15c266c42c28613838609bd4f4522c9eb65fc8456acc339c641ac7d7b7bc2c48c8f2",
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"0x2d58b8b513f4bcffb243d8e40e44346b7788318519c758730b03652accd86776144e81ab51a79ae0d3e5991f214c3aca58a95382d981c8cd8cc2b9caddab61b1fcaeeac56fd3fe1a3a6cd8af8ac3b557094d89a6d817acdb4aae60d12737182e22083628209785e3908d87127738a75c9471046fb176523ea54"
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{
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"0x1857c0e26e0476169cf804c8d5a431022cce0da75d7642a2414a900370f201f5073c7e700ff6626fbd8a104182954fa9f23a45474af5456a00e36f6a6c8162afdf7492d387a455dd8506167d5cc24e6861d7b480b1458230",
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"0x258e988b847b06b73462629161e28517f7bdfd7f7ef9efed6dcff9eeef7bfb3222fdfbda77ffed7e2d77fd543fff3bff56f3eff748ff76f6ffdfef2c593bdefaffafb6dffebfdfdef73eb6ffb7cf9efffdff7dbd78fa5fddf8d1e5f7dfdc2ceee7fffbeb4f14dfef2",
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{
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{
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"0x1ab020d8beb54c354411f3a5658b5e5e87a8dff76ebc5efb70e3b6feef7dbdbbe7fffdd0afb7e649dcb7fdfe6ffffedfcf53f739bf7b0cffbeee3d21e3af3f7bffc727efe7eb3e7bf9ff7eeffdf3d6cfd9d9d7f78f7f37ffdd7effeaeef6ef",
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"0x1ab020d8beb54c354411f3a5658b5e5e87a8dba76ebc54d15043b4580c71143be3ae3080a1a5044980a7c8d26595be5d8141e5199f030cfdae2c2d21a3871979a8c307eec7ea3e2929dd6c44fdd0160289d181c60e6e25ff9d3a76ea68922e"
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{
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"0x85993ec08ac960d46bcba87136f24042485c6d3e0a9973e828df60e537860d6bc83dafa7fb292beef466d0a939ab9da2b",
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||
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"0x4c9a310b11d6e4b4d29d7ede30fb42161fd6a58792440f416abda6df55913a8a26c35140524de5dd9519c30f19641f4f0863bfefc2ae6c89333dd77d6f688cffcbde281772cee0dac9bb0dd16b6c1d33fa7e39b2e781896dcc2b0aba3abedf1381f9f38eb210f5bd2001ea8453ceb136dc3915fabdc30709db0b1a07ec40be",
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"0x811926c08a08601002c8803022a2004040180d1e0889210808d2000420040c6b002d83815b290820700490a1202a8402a",
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||
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"0x4c9a310b11d6e4b4d29d7ede30fb42161fd6a58792440f416abda6df55913a8a26c35140524de5dd9519c30f19641f4f0863bfefc2ae6c89333dd77d6f688cffcbde281772cee0dac9bb0dd16b6c1d7bfbfe39bef78dcffdfeaf1bff3ebeff97c7fbf3afb73ef7bdf60ffbfc73debdb7defb7ffabfffef4fff0b9b9ffddabf",
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||
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"0x4c9a310b11d6e4b4d29d7ede30fb42161fd6a58792440f416abda6df55913a8a26c35140524de5dd9519c30f19641f4f0863bfefc2ae6c89333dd77d6f688cffcbde281772cee0dac9bb0dd16b6c156a6992311e718ccfd176ac19d51ebafb96472a1327252e7730d60fb9fc33180db506c36a482f7de84fb601899d559a95"
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{
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"0x4d9f3e8aae22123e382e7835d3d9d7e944a5c81cab3415fda40d0ec8fde8a50d8b21b2298f83a65bbdb10d120d302d8db4e9807715be0e",
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"0x4dacc1a6f2cecd4179556cbbdfe1cedbc952de5232ff1fe1ae9c0c3bbfcd9087e4ed5bcd1f8c289b1456ef032d888",
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||
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"0xa48104308c4c004854008a93414eda4050cc02128a10c0a2180018b8080083c00051001300089b0410070109808",
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||
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"0x4d9f3e8aae22123e3cfefc3ffffdfffd57b5dedfbffe1dfdbc9d2fedffeff5ff9be9f2ebbfffff5bffffddbeddf8ef8db5edeef737fe8e",
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||
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"0x4d9f3e8aae22123e3cf4b42fbcf53b3d53309ed716ca09101898232ddec754f391c872ea347f7f53c3ffd8aedcc8ef0405acee87276686"
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},
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{
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"0x28d61d5ca1f56b4d3134009f478b17ac208a5b559d9c3726a7a16919e3b12ec6d61a142dc04d834141a9a4",
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||
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"0xb444947aba00d50e10326ebea7a2618a10144dde07c15c685d4785eae16d232eb741bc2a09b7cf794a33ed3598803ad61af",
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||
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"0xc00104a1e06a041020000445801404008050501c8c160222a16019c2a00a44d610002cc04980010121a4",
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||
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"0xb444947aba00d78f71f7eebff7b6f39b501dfdfeb7fbde68fdf7ddfbe37f6b7eb7d1be3b1bffef79eb73fd35d8b43ede9af",
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||
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"0xb444947aba00d78371e7a4a1f116b299501db9a6b6bb9e60f8f2dc33221f4954a1d022111b5ba218eb71313140b42ecc80b"
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||
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},
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{
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"0x1b9a0b9c87fa234d05d06e18171cce3f8fc4adf7f75a402c4c5a281f46e714b96badab2184546aa11a7be482616cbb973da00e329628d3e692b69b43d34391884d87fcd64e2339fbb30044a370fffde97a128d1e5",
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"0x7d641e556550c3ddb89ee553cbc0d8d92cdaec6519a2ff3bd792e0b309c24cb49056fb219ef4dfb2a72e76ac7df3407a44e55af5689e9c85c87e74d542dfb445f56a0a518c",
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"0x78640a55655080008084a001c0405049049ac8201800462a1182a000000248b01052002108608d32212a60a43d30001804c05ac56082108588300440020fb4449520085184",
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"0x1b9a0b9c87fa234d05d06e18171cce3fdfc5edf7f75e7dffcdfe7d3ffeef9dbbefafef719e7ffbbd7b7fefb2fd6cfbdf3defbe3bff6dfbeef2f7fbc7df7797ac4fd7ffd6cfebf9ffb7e74df77dfffdff7eb2ad1ed",
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"0x1b9a0b9c87fa234d05d06e18171cce38598548a1a2567df7c5b47d23faea992ba6036d701e7b991c6355efb2fd4870de38cfbc2b796528cce051f1840c77962c03d25380c7caf1a734e709f75d04b9b62cb228069"
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||
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},
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{
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"0x142cd4c71f04927a526ca430e542cd9432860",
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||
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"0x1337869f6c145daf15b226485ef3c48b8037bf7cb2cc9834153b90f55d4217a5e4a9ea133",
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||
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"0x142c90c41804103a106404000500c48022020",
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||
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"0x1337869f6c145daf15b226485ef3c48b8037bf7cf6cf9f34977bd2fdfd72f7e7edbdfa973",
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||
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"0x1337869f6c145daf15b226485ef3c48b8037ab50660b87308741c299f972f2e7293dd8953"
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},
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{
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"0x4f517f63e95a08284faaf4d4a290c334fc5d039e386727ddbb5d0a6d5fbb5540e97767023d60bedd158ed25051a6c56",
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"0x9e2c9c6d2e3be2ad25733871aeba4ba64081294478f936f9c4fc45ada6bb2c098c98f21e709a88995cc3b0cf7e693f8e73f58f8f4735c81e8421182fc15426174f3b6da7b493135c",
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"0x9e2c9c6d2e3be2ad25733871aeba4ba64081294478f936f9c4fd57ffbebfac8b8cfaff5f7abb8cbb5fc7f0ffffef7ffffbf5dfafd7fffd5e8eb77e7fe3d62fffdf7beda7b59b7f5e",
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"0x9e2c9c6d2e3be2ad25733871aeba4ba64081294478f936f9c009525b982e8c8b08625d533ab384aa130660f69def4df3a8405f2992ce7d4a8ab66e5fe2822dfa9e638082b1897f0a"
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{
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"0x1713f8f439c07e35b741ec9b0bca80149a7ef129c73c23c34b4515d29dc7dec711007fa395ced70f3bebc6d229edb75bf04231f2414e0a826f3edae4edcf770d59650cc252c6a2eff07fda9baa70938085d1e15144a451d26304d8f3df2406b8eb40f4fae3666780d2e54cd93a5f17439a4d3656dc5d48",
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{
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{
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"0x1cdc2579b3f1727c03a0f733c6a1a50025c8b51640ed21fb0e700f873d35c83797a14",
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"0xe3e7298d39a9c7cd225125b1a01505e3d9ca63f8b494e4d7218b10e8bddc06984bbbe43e263f30f6a92a9d7",
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"0x10042120110162580220f03084a085000100a0144004004b0a600e063d30c02102814",
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"0xe3e7298d39a9c7cd225dfdb5f9b7f5f3fdcbe3ffb7d6e5f721afd8fdbfdcefb9fbbff43fa73f35febfbfbd7",
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"0xe3e7298d39a9c7cd224df994d9a6f491a5c9c30f8752457221aed85dab9cebb9b0b59431a102053e9ebd3c3"
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{
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"0x12659e0b26181845981459681797ab57a50c5b4a34882e973f884d99c1e89c0457b99c9445be077039c60cffa057c608594d38423730d3eae76e8a8db6f946877e90bfecde4aaa320128ef3811cd31c3834e66fa7a61d1454778bf82781c091ae5fd348fd903d85116f83f331d84edaa925d1d65b0b30c1b7c6c69da380",
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"0x127fdfaf263a58d5b9fc7b7b3fdfebffbd8f5feb76e9fff7bffafdbdf9e9df7e77fddfb4dfff9f7ebfdfedffe6d7f74df97ffd4eb776dffee7ffbffdfefdc79ffff2bfeefedffbfbafbdef3dfddf3fe3935f77fe7a77d37f477dffda7f5e899af5fd3eafdf87fb79d6fcbff3ffedeffab25f3fedb5b36efbfd6e7dff7b8",
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"0x125f59ac20324891b9f8221b3d5841aa3d8704a362e9fde6987ab02c78294f7a67f44f349a759e2ea65fed47c6c17345a172f50cb0469c14c09537f5ee8c859eed62b0aaf695d3f9af9de305ecde1fe3101155147817137a032540d87f46888275812aab5e842379d2bcaae1ff698ad2a01e338815b166e0ed2a1535738"
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{
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"0x39d2210d760b098917fd1293f0708ed6ffcd7686a4041e774a0f52e808524d686429da6774dd45dcf69abb4a7a48116d71f8e38074196cddf128b041a28cdc1e12cf755c7",
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"0x59d65c9b948dab08f5c3604fb8b4d15085e4ae6ea8e762bbcceb904b3d9b5837977c4c9f2b9e9f3f8c6babd3b5e846ed8bdad898648bc4f8ccbea95d7a9cf5fd694e6b1a176058fbb30257aafa296741ab7181398c43a264a94972c08b4a5c56807a5f06b5b88eb420df822b43c43b400d0",
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"0x284221095208080003c41080b0200c529cc5740004001a17400852a000520868202140237081018c42822008484000094058428070190495b008b00082800802000b400c0",
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"0x59d65c9b948dab08f5c3604fb8b4d15085e4ae6ea8e762bbcceb904b3d9b5837977c4c9f2b9e9f3f8c6babd3b5f9d6ed8ffedb99ed9ffdfadffef9dffefffdffefee6f1e776a5ffbfb0a57effa6d6fdbef75dd7ddcf7baffeb7b7ad1ef7bfcf7807e5f6efdf9aeb461ff8eff5fd6ff755d7",
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"0x59d65c9b948dab08f5c3604fb8b4d15085e4ae6ea8e762bbcceb904b3d9b5837977c4c9f2b9e9f3f8c6babd3b5d194cc86acd391ed9c39ea5f4ed9d3ac63388befea6f04602a57a95b0a05e7924d4e9bcc055c7c50b538dfe3333ad1e63ba4b5000e466a6849a604617d0ef75dd6f435517"
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{
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"0xcf08fe64414998cc59938913e660f0f9b221f459cd8e04126cf902d0b6cea0edc26164b9d84e9ce7dfe058c1fe0fb452848616368c3",
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"0x234286d14c1098ea9fd7f83508641ef3288da679fce09dd1359514ebf0dbcdc73b8f7f6171762d3d5df6492591c9386",
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"0x4000910810806090d1b02100400c820000247900c094c0208500616099c84618875f6050402c0d145200041000082",
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"0xcf08fe644149bbcedfd3cd13feeafffffa35fc7ddfff2c9feef9fef0bfdfb5fdd6ebf4fbddcfbfefffe179f7ff3ffdf6cda797ffbc7",
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"0xcf08fe644149bb8edf42c5037e8a6f2e4a14fc3dd37d2c9fca80fe302b1f9578d68a94621589a768a08129b7d332e9a4cda387ffb45"
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{
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"0x343e32e61b86c0c7cc895cf233ea3d5b5ad65435c1f87e034b59788a9af14ffae9249f1f3cfe0789abbe8edc8ce",
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"0x63f7afb1dcebc9d65f9d468754ea558119988cb7d85e427003f2c1d9b360d2c75b97c1308ee3a7b5901044c6353e14f3e6b54a2ead64acdf914c6f7b6d4ed3205abdc78aa7bb47d548607b4ffe1db7331aac39c8bc7fcfd62238467352656a3ad04a423",
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"0x241e10440b024046c00058b0038a251b42d4402041487e010311188818c00c7ac9040218047202012a3a8048002",
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"0x63f7afb1dcebc9d65f9d468754ea558119988cb7d85e427003f2c1d9b360d2c75b97c1308ee3a7b5901044c6353e14f3e6b54a2ead64bcffb3ee7fffedcfdfa95efff7eabffb5fd75c75fbfffe1fff7b7aaebbf9ffffeff6bf3f7eff57edebbededecef",
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"0x63f7afb1dcebc9d65f9d468754ea558119988cb7d85e427003f2c1d9b360d2c75b97c1308ee3a7b5901044c6353e14f3e6b54a2ead6498e1a3aa74fdad891fa9064ff4609ae01d031c55bab7801efc6a6226a339f38526f2bd277a8d55ecc1845e96ced"
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},
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{
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"0x981ba5db1da1fe952887e32cd21d51ba024022c8d837ec00f9772a111f87644012cee4a01f66d09ef168ebdfb91232e9e8f65d63ee7e6e050ae9707e7b15df4f8037b0d8d427f32429a45312a24081ed5a9c8ec22358f3621c961349638f30e049d00d513901fe065d5364f4cfca93f14a2b1b",
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"0x1ba08accd8474ea8d9dc2f10d3c2c2edcbf9c3a909ab45",
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"0x38000c048400c0019002e00514240e4cbc883a1082b01",
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"0x981ba5db1da1fe952887e32cd21d51ba024022c8d837ec00f9772a111f87644012cee4a01f66d09ef168ebdfb91232e9e8f65d63ee7e6e050ae9707e7b15df4f8037b0d8d427f32429a45312a24081ed5a9c8ec22358f3621c9613497bafbaecd9d74ff9f9ddff16dfd3e6fdcffbd3f94bab5f",
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"0x981ba5db1da1fe952887e32cd21d51ba024022c8d837ec00f9772a111f87644012cee4a01f66d09ef168ebdfb91232e9e8f65d63ee7e6e050ae9707e7b15df4f8037b0d8d427f32429a45312a24081ed5a9c8ec22358f3621c961349782fba2c919743f9e0ddd1168e91a6190433505843805e"
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{
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"0x1d9992a4fce731fe937e70ec9efba437b1efa9e5459e3145f8c9142c6988eca9a61273750bcc1f00a64b32bab5a3a4c89858231f4fedce7a73bcc7285bbd18b328ccc298919f5511e973cd124f7e1c3912d52f4593c676f1c3f87a521",
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"0x6e195204da93bdade43f0622217647326502417d70305d050d988",
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"0x421810045011a921c412062200300210250001447030410008100",
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"0x1d9992a4fce731fe937e70ec9efba437b1efa9e5459e3145f8c9142c6988eca9a61273750bcc1f00a64b32bab5a3a4c89858231f4fedce7a73bcc7285bbd18b328ccee99d39fdf93fdffed3f4f7e3d7f57f76f47d3ff76f1dffd7fda9",
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"0x1d9992a4fce731fe937e70ec9efba437b1efa9e5459e3145f8c9142c6988eca9a61273750bcc1f00a64b32bab5a3a4c89858231f4fedce7a73bcc7285bbd18b328ccac81c39b8f8254de292d495c3d4f55e74a47d2bb06c19efd77ca9"
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},
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{
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"0x123b8aaf5660144d596f10574b4c232f267222596831",
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"0x10ab460448ce805f18a3c1d64fc8cc0c02b2cd5f860d462e33602f09fd131e5468c86997e5a033729b2a03d3c284ee0111488ea",
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"0x1021028c0600144801270012000c2028066000100820",
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"0x10ab460448ce805f18a3c1d64fc8cc0c02b2cd5f860d462e33602f09fd133ffceafd6f97e5f5b7f39f7eb7d3f2f6ef2335de8fb",
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"0x10ab460448ce805f18a3c1d64fc8cc0c02b2cd5f860d462e33602f09fd123decc23d0f96a175a5839e5eb711f076892334de0db"
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{
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"0x17529608c59c36277d9e89f9b275032e62ab42b4dc006f1943e12b088c36657b02937109db797e2fbb83c984f507841be083c5e36dd04a8b7d3",
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"0x1d556659e3b765044e08b1f7879bf057ef",
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"0x1814004940304104080810368500a017c3",
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"0x17529608c59c36277d9e89f9b275032e62ab42b4dc006f1943e12b088c36657b02937109db797e2fbbd7dfe5ff3ff65be4e3cfff7df9ff8f7ff",
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"0x17529608c59c36277d9e89f9b275032e62ab42b4dc006f1943e12b088c36657b02937109db797e2fba569fe16b3cf24ba4634efc15a9f58e03c"
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},
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{
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"0x23ed0547893da2de2673832f9e6d988ce38c44a47495c1e0a714eb2f18ec455157cc20ea9da75cdcb0c4e9afa546efb3650b7e5cb7e659359d17fe79d2d5116bcd6c5cca45e0719d063e7df33f6788e5c6bd77c114340748cf553c5aa4992076953c4904181e24bb7c26a6e895d8b808c70133b52c9ca4a2266c2e2302bf777",
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"0x3eaf5dd3cbba83558163fd16469a3d64905ff28ee65c15ff01f4d720b1ad669a893671bb614382f2331985333b0af52cbc0af22e50e4cb39d4ab3ad58127b3c481e692bb22dc0b497690e57e6fc84a87c2e1eb85e6c8bfc253fd497fc88",
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"0x20aa1d83489880448123a50646922500105cb286401415170070d20011294408080241a061010232311105230800c42c340010240040cb11140a2091002691040104101a20980800268085582808420102a12884a48026400221003f400",
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||
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"0x23ed0547893da2de2673832f9e6d988ce38c44a47495c1e0a714eb2f18ec455157cc3eefddf7dffeb3d5e9effd56efbb7d6ffe5ff7eeff7d9dfffffdd7f5b1efeffeddfe75fb71df86fe7ffbbf77bbeff7bdffcbf63e57eccf7dfcfbbedda177b7fcc9e69abf26ff7f6ff6f8f5feffc8cf87f3f5ef9de6eabfee7fff4bfffff",
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||
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"0x23ed0547893da2de2673832f9e6d988ce38c44a47495c1e0a714eb2f18ec455157cc1e45c0749766339168cc5850a929586fee034568bf6988e8ff8d05f5a0c6abf6d5fc345b10de84cc4eeaba54b3ef3391cbcbe61a57ac046ce8f19e4ca15126f8c8e28aa50667776fd07870a6d7c08d86f154c719426a99ae7dde4bc0bff"
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||
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},
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{
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|
"0x4881b1172db56487aa0b4362479871a57",
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"0xd40bc374f241c2bb638ed6dea08d7885135052619d2f58523b3218b57371993a62bea6cfc8abf4abb8e4a96b0a38bbffffdd0bc5e5a6514f0db",
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"0x4081210228b16487880b4160061041053",
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||
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"0xd40bc374f241c2bb638ed6dea08d7885135052619d2f58523b3218b57371993a62bea6cfc8abf4abb8eca9fb1f3dbfffffff0bc7e7e7d97fadf",
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||
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"0xd40bc374f241c2bb638ed6dea08d7885135052619d2f58523b3218b57371993a62bea6cfc8abf4abb8ac28da1d150e9b7877008687e1c93ea8c"
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||
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},
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{
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"0x1e0e22b43b6de9f7ee3000e87eef492f84ee1bcd3f490cdbf35171b174335fe53afa9b752d9b1e1b0bd58d71d35687cb7b74",
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||
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"0xac57c7cfa532414e1182c7c499ffa996f7a28187f7f5d7586f0fd6b64e566bff1ff68daa60d7b650cfece99b8e2551941008aaa5ab966c526d584251600baf9f48d6b573e2779363363cea427961c0ac63d9c9abcc30976c3755b739dcbcccfbb7ae06b5deed54c59a5271caaa26134877898f75b065f3c72a8429ab5",
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||
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"0x40602140a4429948a30000876c3410b008c0bcc0f0908c0635160914411052518aa82612483181803510451105280421a34",
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||
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"0xac57c7cfa532414e1182c7c499ffa996f7a28187f7f5d7586f0fd6b64e566bff1ff68daa60d7b650cfece99b8e2551941008aaa5ab966c526d584251600baf9f48d6b573e2779363363cebe2fb6bc3beffdfffebcc3e97eef7d7ff7ffdbcdfffb7efbfb5dfff57c7bffe73efabb753d9f7e9bffdf8f7fff76afcbfbf5",
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||
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"0xac57c7cfa532414e1182c7c499ffa996f7a28187f7f5d7586f0fd6b64e566bff1ff68daa60d7b650cfece99b8e2551941008aaa5ab966c526d584251600baf9f48d6b573e2779363363ceba29b4a831abd46b748cc3e1082c3c74f773d001f0f2763b980c9f64386afac226503914191c6683fc8e8b2eef242f89e1c1"
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||
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},
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{
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"0x46529c1d4b03b4a0efd29ce200ce9564cdc4fa4b53b9b6725e3fffe3454d6e53848fa573858f0bdbcf846d790a5bfc7470d0b8ac1d494804fa7048b869d5e016e389bf93cb959469dca3f4c5e93f8bcb7dbb64bcec19c8d9dbc5f2cecb285d81f5fefe99ff4564662c7cc275a40f0ea519adb2",
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||
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"0x1b10fed79bfd5e52ba14eea13cf223bfbeb5f42bd781083545c4306ed5f69250efc19707288aadf9df45b4056a293da0cfae076ee9b08e7a7058ef0a58e67149980cdc60a75825607ec4e531e9d036e71e3df52048853e3",
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||
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"0x1010d6c518485a523810e0a13cf0029790a5b4034701080041c4100045a6000086811601280889f91c01100408083d004e82002ca190864a40408c0818a4510888008440075825601ec4440060c004271a00f02040801a2",
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||
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"0x46529c1d4b03b4a0efd29ce200ce9564cdc4fa4b53b9b6725e3fffe3f54fef7bbfdfe57ba5cfebdbcfa67ffbeb5ffefd78d0bbfc5d4b4eedff796dbefdddf076ebabff9fffdfd47ffeb3fecdfbffffefffbbe7bfed9ff8fddfe7f6dfcbeddf8bf5fefe9fff4f777ebd7fee75e7df5ea599fff3",
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||
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"0x46529c1d4b03b4a0efd29ce200ce9564cdc4fa4b53b9b6725e3fffe2f442832a3b5a405824c1e1c800a65682e104bec908c03bf8410a4ee9a5196db695cc90646b23600e3fced43f7e302ec913dffd25e6b3831be997387c55a2e6574be59b8b807ca89e130b3778b17fac0447d05ca191fe51"
|
||
|
},
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{
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||
|
"0x1c61ea1ba6135d29a669cc258f24a09ce0c6af1fa717",
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||
|
"0x277557a8f45578e7730c64350cd3fd389bf96320fb3079402e9949062868fda63a6c371adf34952bd8fbf8a361671041556548ecabc7561f3febfcf26290dc819caa54b8eb26a7fb3a593202b2eb9a87fa214342ea4d639c3487882c7b6a03401d0715171c8ec44d45eff0c2571ca3f556d0d986fbeb5ff",
|
||
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"0x10416008a4005408a60804218a24000c00802f1ea517",
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||
|
"0x277557a8f45578e7730c64350cd3fd389bf96320fb3079402e9949062868fda63a6c371adf34952bd8fbf8a361671041556548ecabc7561f3febfcf26290dc819caa54b8eb26a7fb3a593202b2eb9a87fa214342ea4d639c3487882c7b6a03401d07d71fbdbee57dd7fff6ded75cf3ff5fdeddeefbfb7ff",
|
||
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"0x277557a8f45578e7730c64350cd3fd389bf96320fb3079402e9949062868fda63a6c371adf34952bd8fbf8a361671041556548ecabc7561f3febfcf26290dc819caa54b8eb26a7fb3a593202b2eb9a87fa214342ea4d639c3487882c7b6a03401d06d309bd34a5789775965e954451bf5f1ed5ec0a112e8"
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||
|
},
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||
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{
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||
|
"0x259856f9c56582b4f8056fdbd37332ff6684ad104683782087ef2b965fa2d22153ca880d735c116878afac5b2477b7f",
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||
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"0x1518494828299164e2ee455afe73cd24484df0def1e24c01926bdb2566d44e483a04bbdd5aeab159678305b6ade08cb5bc83e0e63a7bd9e2bb016c355f0fd9e94044e8e9dd380c64ea2f83d239d0987a6864dd1a07c9d742",
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||
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"0x20105268c4008210c8040e438331122b2004811040811800044e0a945380c20002c8080111080120000d80002415342",
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||
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"0x1518494828299164e2ee455afe73cd24484df0def1e24c01926bdb2566d44e483a04bbdd5aeab15967db85ffbdf6dcbfff83f6ffbf7ffbefff696ef55f6fffeb487efaf9fdfa2d66ff3fabd2fff5d97eefeeffdfb7cfff7f",
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||
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"0x1518494828299164e2ee455afe73cd24484df0def1e24c01926bdb2566d44e483a04bbdd5aeab15965da80d931b6d49ef303b61b874ceacd4d6926e45b67ee6b483a1a50b8c22146ff132b52eee5596cefee27dfb58eac3d"
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||
|
},
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||
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{
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||
|
"0xd8526c4a399bb415b422ab254fb7c9a053c1507e3260aac195366c5fed9ff583053547f1b8f54561838e8d5fff273e25",
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||
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"0xdc8169197ca1b7f60394685c3438a5b9ff07c0deafe3d68064567be3d9ad3c577600e0d98c4bda37a6ed8175d437cded052bdf221c4c3d76221331061",
|
||
|
"0x4002480a30180400b42028044527882012c14076200008808434205a6c981501013446d010b540218082854221231021",
|
||
|
"0xdc8169197ca1b7f60394685c3dbda7fdff9ffbdfffe3feb274ff7ffbddbd3d57f726eafd9d5bfef7fefdff7df477ddff1fafdf761c7cfdf7fff373e65",
|
||
|
"0xdc8169197ca1b7f60394685c39bd837d5c9e7b9ff4a1fc3230ad0779dc9129509526ea759518bcf258347e2de46499921ea48b740474d5a3dde142e44"
|
||
|
},
|
||
|
{
|
||
|
"0x47ac96c78ee0c7a9906ce5af63d0ad1b0420e1ca783cc6904ee84",
|
||
|
"0x630297e0f122e36f0c5f2f34efbb078c2f4c00e7c16f96cb054",
|
||
|
"0x20028780e002a1000c452f20c0a90304204000600046904a004",
|
||
|
"0x47ef96d7eef1e7ebff6cffaf77ffbf1f8c2fedcafffdef96cfed4",
|
||
|
"0x47cf94506e11e54aff60ba80573f161c880fadca9ffda90685ed0"
|
||
|
},
|
||
|
{
|
||
|
"0x432a40ea48fcb8b8161bc19a26b544f54833bf5e005c7d1c19e8405c5464c8c139fdd9b627865e596c513fc68454827f070310dd7efe80306693ce441c89a74d91db5e27d6ba966aa1e109cc8385bd86a23d127cf609eea4118e0e1d9be83b561dcffb0ec3844d22",
|
||
|
"0x70d78d38ebcadb77733fc709a6d3b76576ca71acd7e3196640d6adc00225142070b943d5624a3a3d4e77a787d8221848ab06c5135",
|
||
|
"0x50c7880002481864410882008011b560744a212482021004401009c002211020402002c0400820214836838540001800a80044120",
|
||
|
"0x432a40ea48fcb8b8161bc19a26b544f54833bf5e005c7d1c19e8405c5464c8c139fdd9b627865e596c513fc68454827f070310df7ffed3befebfff773ffdf7dffdfb7e77febf9eeffff19fec8feffd86a27d527fff9dfff635afafddfffa7b7f9fefff8ef3ec5d37",
|
||
|
"0x432a40ea48fcb8b8161bc19a26b544f54833bf5e005c7d1c19e8405c5464c8c139fdd9b627865e596c513fc68454827f070310da738653beda3e79332f75d7d7fce02870ba1d8ca7dfd09fa88eef6186806c507bfd9dd3f2352dadc97c92432b9fee7f8473e81c17"
|
||
|
},
|
||
|
{
|
||
|
"0x7c4c2d104ca2a5c080fbf1e717e47f848ff9be3555bcff60c07907ade9e334a556157dcd28ebbfd73367defdc4d8f5de60815360394e4de6e7535d356ccb8a2d896157ba65a7e8541a06e604454aef3e8cebfc7aedb48466eb65039cf17c13fcdb1b",
|
||
|
"0x2a73b2854f05d043d4e28e0b2634fd7023aaf3e57e58f213dd0693769",
|
||
|
"0x2a0100804e00404084e2880a2604ac50000262a45018c213c10681309",
|
||
|
"0x7c4c2d104ca2a5c080fbf1e717e47f848ff9be3555bcff60c07907ade9e334a556157dcd28ebbfd73367defdc4d8f5de60815360394e4de6e7535d356ccb8a2d896157ba65a7ef7f3a56f65d457fef3eecfbff7fffb6beefff77e79ff17dd3fdff7b",
|
||
|
"0x7c4c2d104ca2a5c080fbf1e717e47f848ff9be3555bcff60c07907ade9e334a556157dcd28ebbfd73367defdc4d8f5de60815360394e4de6e7535d356ccb8a2d896157ba65a54f6f325216594177a1166c599f353ab6bec9d532e613d041c395ec72"
|
||
|
},
|
||
|
{
|
||
|
"0x3ee957090c3ab10e1c8af669f2093bba430a4322a741522d2ce1d20b07558298627de3dbbbef8828abc64195bad0f9f6acbb734a420d0d8dd330e90d23ab633826a612060eb95070758199006b547b24792d59f97c3191b2dee7a96e",
|
||
|
"0x7e30cfb7abf89648583c2f705f30abb997ded579a0de3172e2b546c920f92fbdf3bf5ffbd5d73620da518e7b4964a44505817d16c7028f4da494135d2589deffbfdb19f6a454f0431cda1884e51f48c67605f9f044e955a4f23da9dfa92af8dfba09ea6adf0390c",
|
||
|
"0x4e102090838a1061808e20122091028020a02228701502d2c415202050500802014424010480000284000949a4041348018114a420d018d42004904218921080600100406205010040091004b005a0478000989782090a28ce0290c",
|
||
|
"0x7e30cfb7abf89648583c2f73ffb5fbb9d7ffd5f9e8ff77ffe2b7ffed30fd3fbff7bf7ffbdfdf36b0ff59afff6ffebdffbff9ff9eff669f5fad9f9f7fefbffeffbfdbd9ffb75ef0d33efe3b86ef7f68e6ff95fff75cf9d5a6f77fbbdfbbffffdffb19fb6fff7b96e",
|
||
|
"0x7e30cfb7abf89648583c2f73b1a5db295475c598687157edc226fd6d105d1d9787aa7d291bca1690af09a7fd6eba99febb79ff9c7b669616099b8c37ee3eea5b9f0bc12b975a6091266c2b068f7e68a69d90fef71cf0c5a2477a1b983bff67487910f1473179062"
|
||
|
},
|
||
|
{
|
||
|
"0x20265b43c9319cd56eac6a02cbf7913ba44b",
|
||
|
"0x995b92e854a8e0d548bfc02e18529b37790f0e4d9aaf36e7abc4a0f1e6d69489215aaa61b5863b1c86b3536b443dc639d1eb3db7789c2cb2f8cad1a74e5168ef33948c81a06fbad3b9ab0b7c84045cd1f77620ef43c7f2088d2901917bec5346a44f679be9491d273dbe5bf6e39095bb411cac63e38626013d671445c",
|
||
|
"0x20261901493010c0462c2802401390310448",
|
||
|
"0x995b92e854a8e0d548bfc02e18529b37790f0e4d9aaf36e7abc4a0f1e6d69489215aaa61b5863b1c86b3536b443dc639d1eb3db7789c2cb2f8cad1a74e5168ef33948c81a06fbad3b9ab0b7c84045cd1f77620ef43c7f2088d2901917bec5346a44f679be9491d273dbe5bf6e7b4bdbb59ddfeebe7a62ebf7d77be45f",
|
||
|
"0x995b92e854a8e0d548bfc02e18529b37790f0e4d9aaf36e7abc4a0f1e6d69489215aaa61b5863b1c86b3536b443dc639d1eb3db7789c2cb2f8cad1a74e5168ef33948c81a06fbad3b9ab0b7c84045cd1f77620ef43c7f2088d2901917bec5346a44f679be9491d273dbe59f48624a92858d1fa8925260abe4474ae017"
|
||
|
},
|
||
|
{
|
||
|
"0x20a92c71c161a786989694109718416d7a291b8f9c71a5a71ee827e003a5a19cf2aa8faeecbfa231c330e2d4c747b75ccc4d43d8c37472b60",
|
||
|
"0xc2ba3ef844b62f020cd6e4b010499c2c28ab3c15ed2ef3114e5b806244e57be1a7d999a21399c1e950977f021c82a906bed39caeec6aa077628421f9d5dfed01b24fe857000e259537fbe07d6a83080080ae927512d4518f9a56f0a40376234855377d8ef40dcb6055bd8d351",
|
||
|
"0x20282071400021809096840092084045000801851471a0250a80000000a480141280018e8816a020033022404507350cc40d4340413400340",
|
||
|
"0xc2ba3ef844b62f020cd6e4b010499c2c28ab3c15ed2ef3114e5b806244e57be1a7d999a21399c1e950977f021c82a906bed39caeecebac77e3e5a7ffdddffd11b75fe97f7a2f3f9fbffbe5ff7eeb2fe083afb3fdf2fedfaffefff2b5c376e3dcd777ffdefc4dcbf8d7fdffb71",
|
||
|
"0xc2ba3ef844b62f020cd6e4b010499c2c28ab3c15ed2ef3114e5b806244e57be1a7d999a21399c1e950977f021c82a906bed39caeccc38c06a3e5867f4d4979112557a93a7a273e1aab8a45da746b2fe0830b33e9e07ede2176e95295c046c19c9270cad2384088b896c9ff831"
|
||
|
},
|
||
|
{
|
||
|
"0xf6b7f399370d10b097b17e514f044d77a8f170148f4837033bb5d425f73a4079e1c7a9c3e69246f902d8c9fd27caad1e93d83578d4af8d3b7b1c02041c44917a22ed56f2562ac1426a356f8d31965e8e367b8929f3907b1dc6e73a8f3a566ca5c4e113e9d2c53770b110df51cf504701ff3fcea5b819b9bfc49f",
|
||
|
"0x61989df2b7097a6a84dc016aec2716d9cac359d2d799d90ec006a66efe3f1fd0851978c4cfe2f64b307b852e23f5dfdc2f63196e1076782a228a46f5f7d4e54afc1ad7abf1f8fef46edaad1706956f95eb95953bd4",
|
||
|
"0x990290097822808c0002c82510d08a8119521400000c40002222ec1612500001404005628401105a8426238109d0006319460032082a020804c4e110e142c41250a110d850c440420117068425900991950094",
|
||
|
"0xf6b7f399370d10b097b17e514f044d77a8f170148f4837033bb5d425f73a4079e1c7a9c3e6f3defdf2ffc9ff6fcefd1ffbfc377eddefcf7bfbdf9bdd1ec497fe6eff7fffd6afd97aeeffefff7bb67f8f3e7bfdffffbf7b1deef77eff3a76eee7f5f7d7eddafd3ff7bbf1ffffff7edfadff3fdfefbdfbbdbfffdf",
|
||
|
"0xf6b7f399370d10b097b17e514f044d77a8f170148f4837033bb5d425f73a4079e1c7a9c3e6f3de64f06fc0874d4e711ff934126e0d654e62a9cb9bdd128497dc4c1369ed86afd83aaefa8d7b7aa6250b18587cf62fbf1804a8f74cf71074e6e33116c70c98392da71ae127af3b3e9dace8395bca2df22c2aff4b"
|
||
|
},
|
||
|
{
|
||
|
"0x31d126e874580b754389fad8b64aaa61cabb4f8eb6904fe7e504341ed903f7daa3e74d4da3afca80b2415672a",
|
||
|
"0x16fb17a0468c0afa6bad456efa4f9baf26860eda9d7c00c2520c8c9b6026fb50df59b8cb74f6d9be861052c5e831158e7ffd98746328ce11f91d9ea22f0803a8b059aea22d1715ca1abeae53a8bc6b8bfb9b6c9d24ae714767",
|
||
|
"0x11100e0745803440288e0189048aa20c0800a8a04904a22c10014008902e51a83c6080da1a6c880024114722",
|
||
|
"0x16fb17a0468c0afa6bad456efa4f9baf26860eda9d7c00c2520c8c9b6026fb50df59b8cb74f6d9be861052c5eb3d17eefffd98f77738dfbdfb7dbea63fabb7f8fb79aefe7f5757cbffbebf7faabe7fdffbbbfcbd2fae75676f",
|
||
|
"0x16fb17a0468c0afa6bad456efa4f9baf26860eda9d7c00c2520c8c9b6026fb50df59b8cb74f6d9be861052c5eb2c07e0f8b818c3371051bc7279340433a3b7505b30aa5c5347568bf72e912e02821f5f21a190352f8a64204d"
|
||
|
},
|
||
|
{
|
||
|
"0xbf1a14e469c234b72d56324d100e016bc38cdf7158e35f230c047585e7b107acc8e222e7f19552541e59316affd90e96ca657b6112f5e8c786dfcff342fc46252fcdab10c632578540dbf6235f164bc5711924c7c6ba9da85ab",
|
||
|
"0x5dd3fb9a3de26cd89eb9517af6bb25678f149f906e8751a0c20d7646d21c17191237022a990e0156541e376986fd6a680c60228e5955df08bae5789c81751cdcafe5a2e72d45b09",
|
||
|
"0x5d5158821d220c001481413006a800620204919042041000000876400214020112210220880600564412026806252a480800020251054008b22158140145101824c582a20d00109",
|
||
|
"0xbf1a14e469c234b72d56324d100e016bc38cdff3fbfb7fe36cdcffbdf7fbf7bfede7aff7ff957ed75ff9f36fffdfde9edf7d7b7712fff9cf87dfdfff77fdc6fd6fedaf70e6be5fd5dfdbfee77f9ecbf57dddafe7e6ffbdedfab",
|
||
|
"0xbf1a14e469c234b72d56324d100e016bc38c82a2a37962c160dceb3cb6cbf117ed85adf36e053cd34ff9f367899fdc8add7c695610df71c987899bed7595c0d845a5a770e4bc0ed09fd34cc6278acab06dc58b22645db0edea2"
|
||
|
},
|
||
|
};
|
||
|
|
||
|
bool opa=true, opo=true, opx=true;
|
||
|
|
||
|
//////////////////// AND ////////////////////
|
||
|
|
||
|
for (size_t i=0; i<COUNTOF(tests); i++)
|
||
|
{
|
||
|
Integer m(tests[i].m), n(tests[i].n), a(tests[i].a);
|
||
|
|
||
|
opa &= ((m & n) == a);
|
||
|
opa &= ((-m & n) == a);
|
||
|
opa &= ((m & -n) == a);
|
||
|
opa &= ((-m & -n) == a);
|
||
|
|
||
|
Integer t(m); t &= n;
|
||
|
opa &= (t == a);
|
||
|
t = n; t &= m;
|
||
|
opa &= (t == a);
|
||
|
|
||
|
opa &= ((m & m) == m);
|
||
|
opa &= ((n & n) == n);
|
||
|
}
|
||
|
|
||
|
if (opa)
|
||
|
std::cout << "passed:";
|
||
|
else
|
||
|
std::cout << "FAILED:";
|
||
|
std::cout << " Bitwise AND over 32-bits to 1024-bits\n";
|
||
|
|
||
|
//////////////////// OR ////////////////////
|
||
|
|
||
|
for (size_t i=0; i<COUNTOF(tests); i++)
|
||
|
{
|
||
|
Integer m(tests[i].m), n(tests[i].n), o(tests[i].o);
|
||
|
|
||
|
opo &= ((m | n) == o);
|
||
|
opo &= ((-m | n) == o);
|
||
|
opo &= ((m | -n) == o);
|
||
|
opo &= ((-m | -n) == o);
|
||
|
|
||
|
Integer t(m); t |= n;
|
||
|
opo &= (t == o);
|
||
|
t = n; t |= m;
|
||
|
opo &= (t == o);
|
||
|
|
||
|
opo &= ((m | m) == m);
|
||
|
opo &= ((n | n) == n);
|
||
|
}
|
||
|
|
||
|
if (opo)
|
||
|
std::cout << "passed:";
|
||
|
else
|
||
|
std::cout << "FAILED:";
|
||
|
std::cout << " Bitwise OR over 32-bits to 1024-bits\n";
|
||
|
|
||
|
//////////////////// XOR ////////////////////
|
||
|
|
||
|
for (size_t i=0; i<COUNTOF(tests); i++)
|
||
|
{
|
||
|
Integer m(tests[i].m), n(tests[i].n), x(tests[i].x);
|
||
|
|
||
|
opx &= ((m ^ n) == x);
|
||
|
opx &= ((-m ^ n) == x);
|
||
|
opx &= ((m ^ -n) == x);
|
||
|
opx &= ((-m ^ -n) == x);
|
||
|
|
||
|
Integer t(m); t ^= n;
|
||
|
opx &= (t == x);
|
||
|
t = n; t ^= m;
|
||
|
opx &= (t == x);
|
||
|
|
||
|
opx &= ((m ^ m) == Integer::Zero());
|
||
|
opx &= ((n ^ n) == Integer::Zero());
|
||
|
}
|
||
|
|
||
|
if (opx)
|
||
|
std::cout << "passed:";
|
||
|
else
|
||
|
std::cout << "FAILED:";
|
||
|
std::cout << " Bitwise XOR over 32-bits to 1024-bits\n";
|
||
|
|
||
|
return opa && opo && opx;
|
||
|
}
|
||
|
|
||
|
bool TestIntegerOps()
|
||
|
{
|
||
|
std::cout << "\nTesting Integer operations...\n\n";
|
||
|
bool pass=true, result;
|
||
|
RandomNumberGenerator& prng = GlobalRNG();
|
||
|
|
||
|
// The tests below include 0^0 and 0^0%0. There are mixed opinions about what the result
|
||
|
// should be. Some say it is undefined, others say it is 0, and yet others say it is 1.
|
||
|
|
||
|
// Be careful with unfettered exponentiation using EuclideanDomainOf<Integer> and
|
||
|
// Exponentiate(). It can easily consume all machine memory because it is an exponentiation
|
||
|
// without a modular reduction.
|
||
|
|
||
|
// ****************************** DivideByZero ******************************
|
||
|
|
||
|
{
|
||
|
try {
|
||
|
Integer x = Integer(prng, 128) / Integer::Zero();
|
||
|
result=false;
|
||
|
} catch (const Exception&) {
|
||
|
result=true;
|
||
|
}
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Integer DivideByZero\n";
|
||
|
}
|
||
|
|
||
|
// The 0*0 % 0 test.
|
||
|
{
|
||
|
try {
|
||
|
Integer x = 0;
|
||
|
Integer y = 0;
|
||
|
Integer z = ModularMultiplication(y, y, x);
|
||
|
result = false;
|
||
|
}
|
||
|
catch(const Integer::DivideByZero&) {
|
||
|
result = true;
|
||
|
}
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Integer DivideByZero\n";
|
||
|
}
|
||
|
|
||
|
// Another 0*0 % 0 test.
|
||
|
{
|
||
|
try {
|
||
|
Integer x = 0;
|
||
|
Integer y = 0;
|
||
|
Integer z = (y * y) % x;
|
||
|
result = false;
|
||
|
}
|
||
|
catch(const Integer::DivideByZero&) {
|
||
|
result = true;
|
||
|
}
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Integer DivideByZero\n";
|
||
|
}
|
||
|
|
||
|
// The 0^0 % 0 test.
|
||
|
{
|
||
|
try {
|
||
|
Integer x = 0;
|
||
|
Integer y = 0;
|
||
|
Integer z = ModularExponentiation(y, y, x);
|
||
|
result = false;
|
||
|
}
|
||
|
catch(const Integer::DivideByZero&) {
|
||
|
result = true;
|
||
|
}
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Integer DivideByZero\n";
|
||
|
}
|
||
|
|
||
|
// Another 0^0 % 0 test.
|
||
|
{
|
||
|
try {
|
||
|
Integer x = 0;
|
||
|
Integer y = 0;
|
||
|
Integer z = EuclideanDomainOf<Integer>().Exponentiate(y, y) % x;
|
||
|
result = false;
|
||
|
}
|
||
|
catch(const Integer::DivideByZero&) {
|
||
|
result = true;
|
||
|
}
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Integer DivideByZero\n";
|
||
|
}
|
||
|
|
||
|
// Integer divide by 0
|
||
|
{
|
||
|
try {
|
||
|
Integer r=1, q=1, a=1, d=0;
|
||
|
Integer::Divide(r, q, a, d);
|
||
|
result = false;
|
||
|
}
|
||
|
catch(const Integer::DivideByZero&) {
|
||
|
result = true;
|
||
|
}
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Integer DivideByZero\n";
|
||
|
}
|
||
|
|
||
|
// Another Integer divide by 0
|
||
|
{
|
||
|
try {
|
||
|
Integer q=1, a=1; word r=1, d=0;
|
||
|
Integer::Divide(r, q, a, d);
|
||
|
result = false;
|
||
|
}
|
||
|
catch(const Integer::DivideByZero&) {
|
||
|
result = true;
|
||
|
}
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Integer DivideByZero\n";
|
||
|
}
|
||
|
|
||
|
if (pass)
|
||
|
std::cout << "passed:";
|
||
|
else
|
||
|
std::cout << "FAILED:";
|
||
|
std::cout << " Integer DivideByZero\n";
|
||
|
|
||
|
// ************************ RandomNumberNotFound ************************
|
||
|
|
||
|
try {
|
||
|
// A run of 71 composites; see http://en.wikipedia.org/wiki/Prime_gap
|
||
|
Integer x = Integer(GlobalRNG(), 31398, 31468, Integer::PRIME);
|
||
|
result=false;
|
||
|
} catch (const Exception&) {
|
||
|
result=true;
|
||
|
}
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (result)
|
||
|
std::cout << "passed:";
|
||
|
else
|
||
|
std::cout << "FAILED:";
|
||
|
std::cout << " Integer RandomNumberNotFound\n";
|
||
|
|
||
|
// ************************ Carmichael pseudo-primes ************************
|
||
|
|
||
|
result=true;
|
||
|
if (IsPrime(Integer("561")))
|
||
|
result = false;
|
||
|
if (IsPrime(Integer("41041")))
|
||
|
result = false;
|
||
|
if (IsPrime(Integer("321197185")))
|
||
|
result = false;
|
||
|
if (IsPrime(Integer("5394826801")))
|
||
|
result = false;
|
||
|
if (IsPrime(Integer("232250619601")))
|
||
|
result = false;
|
||
|
if (IsPrime(Integer("974637772161")))
|
||
|
result = false;
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (result)
|
||
|
std::cout << "passed:";
|
||
|
else
|
||
|
std::cout << "FAILED:";
|
||
|
std::cout << " Carmichael pseudo-primes\n";
|
||
|
|
||
|
// ****************************** Integer Double ******************************
|
||
|
|
||
|
try {
|
||
|
Integer x = Integer::One().Doubled();
|
||
|
result = (x == Integer::Two());
|
||
|
} catch (const Exception&) {
|
||
|
result=false;
|
||
|
}
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Integer Doubled\n";
|
||
|
|
||
|
// ****************************** Integer Square ******************************
|
||
|
|
||
|
try {
|
||
|
Integer x = Integer::Two().Squared();
|
||
|
result = (x == 4);
|
||
|
} catch (const Exception&) {
|
||
|
result=false;
|
||
|
}
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Integer Squared\n";
|
||
|
|
||
|
try {
|
||
|
Integer x = Integer::Two().Squared();
|
||
|
result = (x == 4) && x.IsSquare();
|
||
|
} catch (const Exception&) {
|
||
|
result=false;
|
||
|
}
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Integer IsSquare\n";
|
||
|
|
||
|
if (pass)
|
||
|
std::cout << "passed:";
|
||
|
else
|
||
|
std::cout << "FAILED:";
|
||
|
std::cout << " Squaring operations\n";
|
||
|
|
||
|
// ****************************** Integer GCD ******************************
|
||
|
|
||
|
{
|
||
|
for (unsigned int i=0; i<128; ++i)
|
||
|
{
|
||
|
Integer x, y;
|
||
|
switch(i%2)
|
||
|
{
|
||
|
case 0:
|
||
|
{
|
||
|
AlgorithmParameters params =
|
||
|
MakeParameters("BitLength", 256)("RandomNumberType", Integer::PRIME);
|
||
|
x.GenerateRandom(prng, params);
|
||
|
y.GenerateRandom(prng, params);
|
||
|
break;
|
||
|
}
|
||
|
case 1:
|
||
|
{
|
||
|
x = MaurerProvablePrime(prng, 256);
|
||
|
y = MihailescuProvablePrime(prng, 256);
|
||
|
}
|
||
|
}
|
||
|
|
||
|
if (x != y)
|
||
|
{
|
||
|
result = (RelativelyPrime(x, y) == true);
|
||
|
pass = result && pass;
|
||
|
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Integer GCD\n";
|
||
|
}
|
||
|
}
|
||
|
|
||
|
if (pass)
|
||
|
std::cout << "passed:";
|
||
|
else
|
||
|
std::cout << "FAILED:";
|
||
|
std::cout << " GCD operations\n";
|
||
|
}
|
||
|
|
||
|
// ******************** Integer Modulo and InverseMod ********************
|
||
|
|
||
|
// http://github.com/weidai11/cryptopp/issues/602
|
||
|
// The bug report that uncovered the InverseMod problems
|
||
|
{
|
||
|
Integer a("0x2F0500010000018000000000001C1C000000000000000A000B0000000000000000000000000000FDFFFFFF00000000");
|
||
|
Integer b("0x3D2F050001");
|
||
|
|
||
|
result = (Integer("0x3529E4FEBC") == a.InverseMod(b));
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: InverseMod operation\n";
|
||
|
}
|
||
|
|
||
|
// Integer Integer::InverseMod(const Integer &m)
|
||
|
// Large 'a' and 'm'
|
||
|
for (unsigned int i=0; i<128; ++i)
|
||
|
{
|
||
|
Integer a(prng, 1024), m(prng, 1024);
|
||
|
a++, m++; // make non-0
|
||
|
|
||
|
Integer x = a.InverseMod(m);
|
||
|
Integer y = (a % m).InverseMod(m);
|
||
|
Integer z = (a * y).Modulo(m);
|
||
|
|
||
|
if (RelativelyPrime(a, m) == true)
|
||
|
result = (x == y) && (z == 1) && (ModularMultiplication(a, x, m) == 1);
|
||
|
else
|
||
|
result = (x == y);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: InverseMod operation\n";
|
||
|
}
|
||
|
|
||
|
// Integer Integer::InverseMod(const Integer &m)
|
||
|
// Corner cases like 0, 2m-1 and 2m+1
|
||
|
for (unsigned int i=0; i<128; ++i)
|
||
|
{
|
||
|
Integer a(prng, 1024), m(prng, 1024);
|
||
|
a++, m++; // make non-0
|
||
|
|
||
|
// Corner cases
|
||
|
int j = i % 12;
|
||
|
switch (j)
|
||
|
{
|
||
|
case 0:
|
||
|
a = -1; break;
|
||
|
case 1:
|
||
|
a = 0; break;
|
||
|
case 2:
|
||
|
a = 1; break;
|
||
|
case 3:
|
||
|
a = m-1; break;
|
||
|
case 4:
|
||
|
a = m; break;
|
||
|
case 5:
|
||
|
a = m+1; break;
|
||
|
case 6:
|
||
|
a = 2*m-1; break;
|
||
|
case 7:
|
||
|
a = 2*m; break;
|
||
|
case 8:
|
||
|
a = 2*m+1; break;
|
||
|
case 9:
|
||
|
a = (m<<256)-1; break;
|
||
|
case 10:
|
||
|
a = (m<<256); break;
|
||
|
case 11:
|
||
|
a = (m<<256)+1; break;
|
||
|
default:
|
||
|
;
|
||
|
}
|
||
|
|
||
|
Integer x = a.InverseMod(m);
|
||
|
Integer y = (a % m).InverseMod(m);
|
||
|
Integer z = (a * y).Modulo(m);
|
||
|
|
||
|
if (RelativelyPrime(a, m) == true)
|
||
|
result = (x == y) && (z == 1) && (ModularMultiplication(a, x, m) == 1);
|
||
|
else
|
||
|
result = (x == y);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: InverseMod operation\n";
|
||
|
}
|
||
|
|
||
|
// Integer Integer::InverseMod(const Integer &m)
|
||
|
// Large 'a', small 'm'
|
||
|
for (unsigned int i=0; i<128; ++i)
|
||
|
{
|
||
|
Integer a(prng, 4096), m(prng, 32);
|
||
|
a++, m++; // make non-0
|
||
|
|
||
|
Integer x = a.InverseMod(m);
|
||
|
Integer y = (a % m).InverseMod(m);
|
||
|
Integer z = (a * y).Modulo(m);
|
||
|
|
||
|
if (RelativelyPrime(a, m) == true)
|
||
|
result = (x == y) && (z == 1) && (ModularMultiplication(a, x, m) == 1);
|
||
|
else
|
||
|
result = (x == y);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: InverseMod operation\n";
|
||
|
}
|
||
|
|
||
|
// Integer Integer::InverseMod(word m)
|
||
|
// Small 'm' using word
|
||
|
for (unsigned int i=0; i<128; ++i)
|
||
|
{
|
||
|
Integer a(prng, 4096); word m;
|
||
|
prng.GenerateBlock((byte*)&m, sizeof(m));
|
||
|
|
||
|
a++; // make non-0
|
||
|
if (m == 0) m++;
|
||
|
|
||
|
// Avoid the conversion from word to long
|
||
|
Integer mi = Integer(Integer::POSITIVE, 0, m);
|
||
|
Integer ri = a % Integer(Integer::POSITIVE, 0, m);
|
||
|
|
||
|
Integer x = Integer(Integer::POSITIVE, 0, a.InverseMod(m));
|
||
|
Integer y = Integer(Integer::POSITIVE, 0, ri.InverseMod(m));
|
||
|
Integer z = Integer(Integer::POSITIVE, 0, (a * y).Modulo(m));
|
||
|
|
||
|
if (GCD(a,mi) == 1)
|
||
|
result = (x == y) && (z == 1);
|
||
|
else
|
||
|
result = (x == y);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: InverseMod operation\n";
|
||
|
}
|
||
|
|
||
|
if (pass)
|
||
|
std::cout << "passed:";
|
||
|
else
|
||
|
std::cout << "FAILED:";
|
||
|
std::cout << " InverseMod operations\n";
|
||
|
|
||
|
// ****************************** Integer Divide ******************************
|
||
|
|
||
|
// Divide (Integer &r, Integer &q, const Integer &a, const Integer &d)
|
||
|
for (unsigned int i=0; i<128; ++i)
|
||
|
{
|
||
|
Integer r, q, a(prng, 1024), d(prng, 1024);
|
||
|
Integer::Divide(r, q, a, d);
|
||
|
|
||
|
Integer xr = a % d;
|
||
|
Integer xq = a / d;
|
||
|
result = (r == xr) && (q == xq);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Divide operation\n";
|
||
|
}
|
||
|
|
||
|
// Divide (word &r, Integer &q, const Integer &a, word d)
|
||
|
for (unsigned int i=0; i<128; ++i)
|
||
|
{
|
||
|
word r, d = prng.GenerateWord32();
|
||
|
Integer q, a(prng, 1024);
|
||
|
Integer::Divide(r, q, a, d);
|
||
|
|
||
|
Integer xr = a % Integer(Integer::POSITIVE, 0, d);
|
||
|
Integer xq = a / Integer(Integer::POSITIVE, 0, d);
|
||
|
result = (Integer(Integer::POSITIVE, 0, r) == xr) && (q == xq);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Divide operation\n";
|
||
|
}
|
||
|
|
||
|
if (pass)
|
||
|
std::cout << "passed:";
|
||
|
else
|
||
|
std::cout << "FAILED:";
|
||
|
std::cout << " Divide operations\n";
|
||
|
|
||
|
// ****************************** Integer Power2 ******************************
|
||
|
|
||
|
{
|
||
|
Integer x, y;
|
||
|
|
||
|
x = Integer::Power2(0);
|
||
|
result = (x == 1);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Power2 operation\n";
|
||
|
|
||
|
x = Integer::Power2(1);
|
||
|
result = (x == 2);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Power2 operation\n";
|
||
|
}
|
||
|
|
||
|
for (unsigned int i=0; i<128; i+=2)
|
||
|
{
|
||
|
Integer b = 2, m(prng, 2048);
|
||
|
|
||
|
Integer x = EuclideanDomainOf<Integer>().Exponentiate(b, i) % m;
|
||
|
Integer y = Integer::Power2(i) % m;
|
||
|
result = (x == y);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Power2 operation\n";
|
||
|
}
|
||
|
|
||
|
if (pass)
|
||
|
std::cout << "passed:";
|
||
|
else
|
||
|
std::cout << "FAILED:";
|
||
|
std::cout << " Power2 operations\n";
|
||
|
|
||
|
// ****************************** Integer Exponentiation ******************************
|
||
|
|
||
|
{
|
||
|
word32 m = prng.GenerateWord32();
|
||
|
if (m == 0) m++;
|
||
|
|
||
|
Integer z = Integer::Zero();
|
||
|
Integer x = ModularExponentiation(z, z, m);
|
||
|
Integer y = EuclideanDomainOf<Integer>().Exponentiate(z, z) % m;
|
||
|
result = (x == y) && (x == 1);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Exponentiation operation\n";
|
||
|
}
|
||
|
|
||
|
// The 0^0 % 0 test.
|
||
|
{
|
||
|
try
|
||
|
{
|
||
|
Integer x = 0;
|
||
|
Integer y = ModularExponentiation(x, x, x);
|
||
|
result = false;
|
||
|
}
|
||
|
catch(const Integer::DivideByZero&)
|
||
|
{
|
||
|
result = true;
|
||
|
}
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Exponentiation operation\n";
|
||
|
}
|
||
|
|
||
|
// Another 0^0 % 0 test.
|
||
|
{
|
||
|
try
|
||
|
{
|
||
|
Integer x = 0;
|
||
|
Integer z = EuclideanDomainOf<Integer>().Exponentiate(0, 0) % x;
|
||
|
result = false;
|
||
|
}
|
||
|
catch(const Integer::DivideByZero&)
|
||
|
{
|
||
|
result = true;
|
||
|
}
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Exponentiation operation\n";
|
||
|
}
|
||
|
|
||
|
// Run the exponent 0 to 128 on base 0
|
||
|
for (unsigned int i=0; i<128; i+=2)
|
||
|
{
|
||
|
Integer b = 0, m(prng, 2048);
|
||
|
|
||
|
Integer x = ModularExponentiation(b, i, m);
|
||
|
Integer y = EuclideanDomainOf<Integer>().Exponentiate(b, i) % m;
|
||
|
result = (x == y);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Exponentiation operation\n";
|
||
|
}
|
||
|
|
||
|
// Run the exponent 1 to 128 on base 2
|
||
|
for (unsigned int i=0; i<128; i+=2)
|
||
|
{
|
||
|
Integer b = 1, m(prng, 2048);
|
||
|
|
||
|
Integer x = ModularExponentiation(b, i, m);
|
||
|
Integer y = EuclideanDomainOf<Integer>().Exponentiate(b, i) % m;
|
||
|
result = (x == y);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Exponentiation operation\n";
|
||
|
}
|
||
|
|
||
|
// Run the exponent 0 to 128 on base 2
|
||
|
for (unsigned int i=0; i<128; i+=2)
|
||
|
{
|
||
|
Integer b = 2, m(prng, 2048);
|
||
|
|
||
|
Integer x = ModularExponentiation(b, i, m);
|
||
|
Integer y = EuclideanDomainOf<Integer>().Exponentiate(b, i) % m;
|
||
|
result = (x == y);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Exponentiation operation\n";
|
||
|
}
|
||
|
|
||
|
// Run the exponent 0 to 24 on random base
|
||
|
for (unsigned int i=0; i<24; ++i)
|
||
|
{
|
||
|
Integer b(prng, 32), m(prng, 2048);
|
||
|
|
||
|
Integer x = ModularExponentiation(b, i, m);
|
||
|
Integer y = EuclideanDomainOf<Integer>().Exponentiate(b, i) % m;
|
||
|
result = (x == y);
|
||
|
|
||
|
pass = result && pass;
|
||
|
if (!result)
|
||
|
std::cout << "FAILED: Exponentiation operation\n";
|
||
|
}
|
||
|
|
||
|
if (pass)
|
||
|
std::cout << "passed:";
|
||
|
else
|
||
|
std::cout << "FAILED:";
|
||
|
std::cout << " Exponentiation operations\n";
|
||
|
|
||
|
return pass;
|
||
|
}
|
||
|
#endif
|
||
|
|
||
|
NAMESPACE_END // Test
|
||
|
NAMESPACE_END // CryptoPP
|