/*
Derived from source code of TrueCrypt 7.1a, which is
Copyright (c) 2008-2012 TrueCrypt Developers Association and which is governed
by the TrueCrypt License 3.0.
Modifications and additions to the original source code (contained in this file)
and all other portions of this file are Copyright (c) 2013-2017 IDRIX
and are governed by the Apache License 2.0 the full text of which is
contained in the file License.txt included in VeraCrypt binary and source
code distribution packages.
*/
#ifndef TC_HEADER_Boot_BootCommon
#define TC_HEADER_Boot_BootCommon
#include "Common/Password.h"
#include "BootDefs.h"
// The user will be advised to upgrade the rescue disk if upgrading from the following or any previous version
#define TC_RESCUE_DISK_UPGRADE_NOTICE_MAX_VERSION 0x0122
#define TC_BOOT_LOADER_AREA_SIZE (TC_BOOT_LOADER_AREA_SECTOR_COUNT * TC_SECTOR_SIZE_BIOS)
#define TC_BOOT_VOLUME_HEADER_SECTOR (TC_BOOT_LOADER_AREA_SECTOR_COUNT - 1)
#define TC_BOOT_VOLUME_HEADER_SECTOR_OFFSET (TC_BOOT_VOLUME_HEADER_SECTOR * TC_SECTOR_SIZE_BIOS)
#define TC_CD_BOOTSECTOR_OFFSET 0xd000
#define TC_CD_BOOT_LOADER_SECTOR 26
#define TC_ORIG_BOOT_LOADER_BACKUP_SECTOR TC_BOOT_LOADER_AREA_SECTOR_COUNT
#define TC_ORIG_BOOT_LOADER_BACKUP_SECTOR_OFFSET (TC_ORIG_BOOT_LOADER_BACKUP_SECTOR * TC_SECTOR_SIZE_BIOS)
#define TC_BOOT_LOADER_BACKUP_RESCUE_DISK_SECTOR (TC_ORIG_BOOT_LOADER_BACKUP_SECTOR + TC_BOOT_LOADER_AREA_SECTOR_COUNT)
#define TC_BOOT_LOADER_BACKUP_RESCUE_DISK_SECTOR_OFFSET (TC_BOOT_LOADER_BACKUP_RESCUE_DISK_SECTOR * TC_SECTOR_SIZE_BIOS)
#define TC_MBR_SECTOR 0
#define TC_MAX_MBR_BOOT_CODE_SIZE 440
#define TC_MAX_EXTRA_BOOT_PARTITION_SIZE (512UL * 1024UL * 1024UL)
#pragma pack (1)
typedef struct
{
byte Flags;
} BootSectorConfiguration;
// Modifying this value can introduce incompatibility with previous versions
#define TC_BOOT_LOADER_ARGS_OFFSET 0x10
typedef struct
{
// Modifying this structure can introduce incompatibility with previous versions
char Signature[8];
uint16 BootLoaderVersion;
uint16 CryptoInfoOffset;
uint16 CryptoInfoLength;
uint32 HeaderSaltCrc32;
Password BootPassword;
uint64 HiddenSystemPartitionStart;
uint64 DecoySystemPartitionStart;
uint32 Flags;
uint32 BootDriveSignature;
uint32 BootArgumentsCrc32;
} BootArguments;
// Modifying these values can introduce incompatibility with previous versions
#define TC_BOOT_ARGS_FLAG_EXTRA_BOOT_PARTITION 0x1
#pragma pack ()
// Boot arguments signature should not be defined as a static string
// Modifying these values can introduce incompatibility with previous versions
#define TC_SET_BOOT_ARGUMENTS_SIGNATURE(SG) do { SG[0] = 'T'; SG[1] = 'R'; SG[2] = 'U'; SG[3] = 'E'; SG[4] = 0x11; SG[5] = 0x23; SG[6] = 0x45; SG[7] = 0x66; } while (FALSE)
#define TC_IS_BOOT_ARGUMENTS_SIGNATURE(SG) (SG[0] == 'T' && SG[1] == 'R' && SG[2] == 'U' && SG[3] == 'E' && SG[4] == 0x11 && SG[5] == 0x23 && SG[6] == 0x45 && SG[7] == 0x66)
#if defined(_MSC_VER) && !defined(TC_WINDOWS_BOOT)
#define DCS_DISK_ENTRY_LIST_HEADER_SIGN SIGNATURE_64 ('D','C','S','D','E','L','S','T')
#ifndef CSTATIC_ASSERT
#define CSTATIC_ASSERT(b, name) typedef int StaticAssertFailed##name[b ? 1 : -1];
#endif
#define DE_IDX_CRYPTOHEADER 0
#define DE_IDX_LIST 1
#define DE_IDX_DISKID 2
#define DE_IDX_MAINGPTHDR 3
#define DE_IDX_MAINGPTENTRYS 4
#define DE_IDX_ALTGPTHDR 5
#define DE_IDX_ALTGPTENTRYS 6
#define DE_IDX_EXEC 7
#define DE_IDX_PWDCACHE 8
#define DE_IDX_RND 9
#define DE_IDX_TOTAL 10
CSTATIC_ASSERT(DE_IDX_TOTAL <= 15, DE_IDX_TOTAL_too_big);
enum DcsDiskEntryTypes {
DE_Unused = 0,
DE_Sectors,
DE_List,
DE_DISKID,
DE_ExecParams,
DE_PwdCache,
DE_Rnd
};
#pragma pack(1)
typedef struct _SECREGION_BOOT_PARAMS {
uint64 Ptr;
uint32 Size;
uint32 Crc;
} SECREGION_BOOT_PARAMS;
typedef struct {
uint32 Data1;
uint16 Data2;
uint16 Data3;
byte Data4[8];
} DCS_GUID;
// DE types
typedef struct _DCS_DISK_ENTRY_SECTORS {
uint32 Type;
uint32 Offset; // Offset in memory
uint64 Reserved;
uint64 Start; // Start on disk (byte)
uint64 Length; // length on disk (byte)
} DCS_DISK_ENTRY_SECTORS;
CSTATIC_ASSERT(sizeof(DCS_DISK_ENTRY_SECTORS) == 32, Wrong_size_DCS_DISK_ENTRY_SECTORS);
typedef struct _DCS_DISK_ENTRY_PARAMS {
uint32 Type;
uint32 Offset;
uint64 Reserved[2];
uint64 Length; // size of data
} DCS_DISK_ENTRY_PARAMS;
CSTATIC_ASSERT(sizeof(DCS_DISK_ENTRY_PARAMS) == 32, Wrong_size_DCS_DISK_ENTRY_PARAMS);
typedef struct _DCS_DISK_ENTRY_DISKID {
uint32 Type;
uint32 MbrID;
uint64 ReservedDiskId;
DCS_GUID GptID;
} DCS_DISK_ENTRY_DISKID;
CSTATIC_ASSERT(sizeof(DCS_DISK_ENTRY_DISKID) == 32, Wrong_size_DCS_DISK_ENTRY_DISKID);
#pragma warning(disable:4201)
typedef struct _DCS_DISK_ENTRY {
union {
struct {
uint32 Type;
uint32 Offset;
byte reserved[16];
uint64 Length; // size of structure at Offset
};
DCS_DISK_ENTRY_SECTORS Sectors;
DCS_DISK_ENTRY_DISKID DiskId;
DCS_DISK_ENTRY_PARAMS Prm;
};
} DCS_DISK_ENTRY;
#pragma warning(default:4201)
CSTATIC_ASSERT(sizeof(DCS_DISK_ENTRY) == 32, Wrong_size_DCS_DISK_ENTRY);
// Static compile time checks field offsets
#ifndef FIELD_OFFSET
#define FIELD_OFFSET(t, f) ((UINTN)(&((t*)0)->f))
#endif
CSTATIC_ASSERT(FIELD_OFFSET(DCS_DISK_ENTRY, Type) == FIELD_OFFSET(DCS_DISK_ENTRY_SECTORS, Type), Wrong_Type_offset);
CSTATIC_ASSERT(FIELD_OFFSET(DCS_DISK_ENTRY, Type) == FIELD_OFFSET(DCS_DISK_ENTRY_DISKID, Type), Wrong_Type_offset);
CSTATIC_ASSERT(FIELD_OFFSET(DCS_DISK_ENTRY, Type) == FIELD_OFFSET(DCS_DISK_ENTRY_PARAMS, Type), Wrong_Type_offset);
CSTATIC_ASSERT(FIELD_OFFSET(DCS_DISK_ENTRY, Length) == FIELD_OFFSET(DCS_DISK_ENTRY_SECTORS, Length), Wrong_Length_offset);
CSTATIC_ASSERT(FIELD_OFFSET(DCS_DISK_ENTRY, Length) == FIELD_OFFSET(DCS_DISK_ENTRY_PARAMS, Length), Wrong_Length_offset);
CSTATIC_ASSERT(FIELD_OFFSET(DCS_DISK_ENTRY, Offset) == FIELD_OFFSET(DCS_DISK_ENTRY_SECTORS, Offset), Wrong_Offset_offset);
CSTATIC_ASSERT(FIELD_OFFSET(DCS_DISK_ENTRY, Offset) == FIELD_OFFSET(DCS_DISK_ENTRY_PARAMS, Offset), Wrong_Offset_offset);
// DE type specific data
// DE List
typedef struct _DCS_DISK_ENTRY_LIST {
// EFI_TABLE_HEADER
uint64 Signature;
uint32 Revision;
uint32 HeaderSize; //< The size, in bytes, of the entire table including the EFI_TABLE_HEADER.
uint32 CRC32; //< The 32-bit CRC for the entire table. This value is computed by setting this field to 0, and computing the 32-bit CRC for HeaderSize bytes.
uint32 Reserved; //< Reserved field that must be set to 0.
//
uint32 Count;
uint32 DataSize;
//
DCS_DISK_ENTRY DE[15];
} DCS_DISK_ENTRY_LIST;
CSTATIC_ASSERT(sizeof(DCS_DISK_ENTRY_LIST) == 512, Wrong_size_DCS_DISK_ENTRY_LIST);
typedef struct _DCS_DEP_EXEC {
DCS_GUID ExecPartGuid;
uint16 ExecCmd[248];
} DCS_DEP_EXEC;
CSTATIC_ASSERT(sizeof(DCS_DEP_EXEC) == 512, Wrong_size_DCS_DEP_EXEC);
#define DCS_DEP_PWD_CACHE_SIGN SIGNATURE_64 ('P','W','D','C','A','C','H','E')
typedef struct _DCS_DEP_PWD_CACHE {
uint64 Sign;
uint32 CRC;
uint32 Count;
Password Pwd[4];
int32 Pim[4];
byte pad[512 - 8 - 4 - 4 - (sizeof(Password) + 4) * 4];
} DCS_DEP_PWD_CACHE;
CSTATIC_ASSERT(sizeof(DCS_DEP_PWD_CACHE) == 512, Wrong_size_DCS_DEP_PWD_CACHE);
#pragma pack()
#endif // #if !defined(TC_WINDOWS_BOOT)
#endif // TC_HEADER_Boot_BootCommon
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/* whrlpool.cpp - originally modified by Kevin Springle from
* Paulo Barreto and Vincent Rijmen's public domain code, whirlpool.c.
* Updated to Whirlpool version 3.0, optimized and SSE version added by Wei Dai
* All modifications are placed in the public domain
*/
/*
* Adapted to VeraCrypt
*/
/* This is the original introductory comment: */
/**
* The Whirlpool hashing function.
*
* <P>
* <b>References</b>
*
* <P>
* The Whirlpool algorithm was developed by
* <a href="mailto:pbarreto@scopus.com.br">Paulo S. L. M. Barreto</a> and
* <a href="mailto:vincent.rijmen@cryptomathic.com">Vincent Rijmen</a>.
*
* See
* P.S.L.M. Barreto, V. Rijmen,
* ``The Whirlpool hashing function,''
* NESSIE submission, 2000 (tweaked version, 2001),
* <https://www.cosic.esat.kuleuven.ac.be/nessie/workshop/submissions/whirlpool.zip>
*
* @author Paulo S.L.M. Barreto
* @author Vincent Rijmen.
*
* @version 3.0 (2003.03.12)
*
* =============================================================================
*
* Differences from version 2.1:
*
* - Suboptimal diffusion matrix replaced by cir(1, 1, 4, 1, 8, 5, 2, 9).
*
* =============================================================================
*
* Differences from version 2.0:
*
* - Generation of ISO/IEC 10118-3 test vectors.
* - Bug fix: nonzero carry was ignored when tallying the data length
* (this bug apparently only manifested itself when feeding data
* in pieces rather than in a single chunk at once).
* - Support for MS Visual C++ 64-bit integer arithmetic.
*
* Differences from version 1.0:
*
* - Original S-box replaced by the tweaked, hardware-efficient version.
*
* =============================================================================
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHORS ''AS IS'' AND ANY EXPRESS
* OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS BE
* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
* WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE
* OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,
* EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*
*/
#include "Common/Tcdefs.h"
#include "Common/Endian.h"
#if !defined(_UEFI)
#include <memory.h>
#include <stdlib.h>
#endif
#include "cpu.h"
#include "misc.h"
#include "Whirlpool.h"
// "Inline assembly operands don't work with .intel_syntax",
// http://llvm.org/bugs/show_bug.cgi?id=24232
#if defined(CRYPTOPP_DISABLE_INTEL_ASM)
# undef CRYPTOPP_BOOL_SSE2_ASM_AVAILABLE
# undef CRYPTOPP_BOOL_SSSE3_ASM_AVAILABLE
# define CRYPTOPP_BOOL_SSE2_ASM_AVAILABLE 0
# define CRYPTOPP_BOOL_SSSE3_ASM_AVAILABLE 0
#endif
/*
* The number of rounds of the internal dedicated block cipher.
*/
#define R 10
/*
* Though Whirlpool is endianness-neutral, the encryption tables are listed
* in BIG-ENDIAN format, which is adopted throughout this implementation
* (but little-endian notation would be equally suitable if consistently
* employed).
*/
#if CRYPTOPP_BOOL_SSE2_ASM_AVAILABLE
CRYPTOPP_ALIGN_DATA(16) static const uint64 Whirlpool_C[8*256+R] CRYPTOPP_SECTION_ALIGN16 = {
#else
static const uint64 Whirlpool_C[8*256+R] = {
#endif
LL(0x18186018c07830d8), LL(0x23238c2305af4626), LL(0xc6c63fc67ef991b8), LL(0xe8e887e8136fcdfb),
LL(0x878726874ca113cb), LL(0xb8b8dab8a9626d11), LL(0x0101040108050209), LL(0x4f4f214f426e9e0d),
LL(0x3636d836adee6c9b), LL(0xa6a6a2a6590451ff), LL(0xd2d26fd2debdb90c), LL(0xf5f5f3f5fb06f70e),
LL(0x7979f979ef80f296), LL(0x6f6fa16f5fcede30), LL(0x91917e91fcef3f6d), LL(0x52525552aa07a4f8),
LL(0x60609d6027fdc047), LL(0xbcbccabc89766535), LL(0x9b9b569baccd2b37), LL(0x8e8e028e048c018a),
LL(0xa3a3b6a371155bd2), LL(0x0c0c300c603c186c), LL(0x7b7bf17bff8af684), LL(0x3535d435b5e16a80),
LL(0x1d1d741de8693af5), LL(0xe0e0a7e05347ddb3), LL(0xd7d77bd7f6acb321), LL(0xc2c22fc25eed999c),
LL(0x2e2eb82e6d965c43), LL(0x4b4b314b627a9629), LL(0xfefedffea321e15d), LL(0x575741578216aed5),
LL(0x15155415a8412abd), LL(0x7777c1779fb6eee8), LL(0x3737dc37a5eb6e92), LL(0xe5e5b3e57b56d79e),
LL(0x9f9f469f8cd92313), LL(0xf0f0e7f0d317fd23), LL(0x4a4a354a6a7f9420), LL(0xdada4fda9e95a944),
LL(0x58587d58fa25b0a2), LL(0xc9c903c906ca8fcf), LL(0x2929a429558d527c), LL(0x0a0a280a5022145a),
LL(0xb1b1feb1e14f7f50), LL(0xa0a0baa0691a5dc9), LL(0x6b6bb16b7fdad614), LL(0x85852e855cab17d9),
LL(0xbdbdcebd8173673c), LL(0x5d5d695dd234ba8f), LL(0x1010401080502090), LL(0xf4f4f7f4f303f507),
LL(0xcbcb0bcb16c08bdd), LL(0x3e3ef83eedc67cd3), LL(0x0505140528110a2d), LL(0x676781671fe6ce78),
LL(0xe4e4b7e47353d597), LL(0x27279c2725bb4e02), LL(0x4141194132588273), LL(0x8b8b168b2c9d0ba7),
LL(0xa7a7a6a7510153f6), LL(0x7d7de97dcf94fab2), LL(0x95956e95dcfb3749), LL(0xd8d847d88e9fad56),
LL(0xfbfbcbfb8b30eb70), LL(0xeeee9fee2371c1cd), LL(0x7c7ced7cc791f8bb), LL(0x6666856617e3cc71),
LL(0xdddd53dda68ea77b), LL(0x17175c17b84b2eaf), LL(0x4747014702468e45), LL(0x9e9e429e84dc211a),
LL(0xcaca0fca1ec589d4), LL(0x2d2db42d75995a58), LL(0xbfbfc6bf9179632e), LL(0x07071c07381b0e3f),
LL(0xadad8ead012347ac), LL(0x5a5a755aea2fb4b0), LL(0x838336836cb51bef), LL(0x3333cc3385ff66b6),
LL(0x636391633ff2c65c), LL(0x02020802100a0412), LL(0xaaaa92aa39384993), LL(0x7171d971afa8e2de),
LL(0xc8c807c80ecf8dc6), LL(0x19196419c87d32d1), LL(0x494939497270923b), LL(0xd9d943d9869aaf5f),
LL(0xf2f2eff2c31df931), LL(0xe3e3abe34b48dba8), LL(0x5b5b715be22ab6b9), LL(0x88881a8834920dbc),
LL(0x9a9a529aa4c8293e), LL(0x262698262dbe4c0b), LL(0x3232c8328dfa64bf), LL(0xb0b0fab0e94a7d59),
LL(0xe9e983e91b6acff2), LL(0x0f0f3c0f78331e77), LL(0xd5d573d5e6a6b733), LL(0x80803a8074ba1df4),
LL(0xbebec2be997c6127), LL(0xcdcd13cd26de87eb), LL(0x3434d034bde46889), LL(0x48483d487a759032),
LL(0xffffdbffab24e354), LL(0x7a7af57af78ff48d), LL(0x90907a90f4ea3d64), LL(0x5f5f615fc23ebe9d),
LL(0x202080201da0403d), LL(0x6868bd6867d5d00f), LL(0x1a1a681ad07234ca), LL(0xaeae82ae192c41b7),
LL(0xb4b4eab4c95e757d), LL(0x54544d549a19a8ce), LL(0x93937693ece53b7f), LL(0x222288220daa442f),
LL(0x64648d6407e9c863), LL(0xf1f1e3f1db12ff2a), LL(0x7373d173bfa2e6cc), LL(0x12124812905a2482),
LL(0x40401d403a5d807a), LL(0x0808200840281048), LL(0xc3c32bc356e89b95), LL(0xecec97ec337bc5df),
LL(0xdbdb4bdb9690ab4d), LL(0xa1a1bea1611f5fc0), LL(0x8d8d0e8d1c830791), LL(0x3d3df43df5c97ac8),
LL(0x97976697ccf1335b), LL(0x0000000000000000), LL(0xcfcf1bcf36d483f9), LL(0x2b2bac2b4587566e),
LL(0x7676c57697b3ece1), LL(0x8282328264b019e6), LL(0xd6d67fd6fea9b128), LL(0x1b1b6c1bd87736c3),
LL(0xb5b5eeb5c15b7774), LL(0xafaf86af112943be), LL(0x6a6ab56a77dfd41d), LL(0x50505d50ba0da0ea),
LL(0x45450945124c8a57), LL(0xf3f3ebf3cb18fb38), LL(0x3030c0309df060ad), LL(0xefef9bef2b74c3c4),
LL(0x3f3ffc3fe5c37eda), LL(0x55554955921caac7), LL(0xa2a2b2a2791059db), LL(0xeaea8fea0365c9e9),
LL(0x656589650fecca6a), LL(0xbabad2bab9686903), LL(0x2f2fbc2f65935e4a), LL(0xc0c027c04ee79d8e),
LL(0xdede5fdebe81a160), LL(0x1c1c701ce06c38fc), LL(0xfdfdd3fdbb2ee746), LL(0x4d4d294d52649a1f),
LL(0x92927292e4e03976), LL(0x7575c9758fbceafa), LL(0x06061806301e0c36), LL(0x8a8a128a249809ae),
LL(0xb2b2f2b2f940794b), LL(0xe6e6bfe66359d185), LL(0x0e0e380e70361c7e), LL(0x1f1f7c1ff8633ee7),
LL(0x6262956237f7c455), LL(0xd4d477d4eea3b53a), LL(0xa8a89aa829324d81), LL(0x96966296c4f43152),
LL(0xf9f9c3f99b3aef62), LL(0xc5c533c566f697a3), LL(0x2525942535b14a10), LL(0x59597959f220b2ab),
LL(0x84842a8454ae15d0), LL(0x7272d572b7a7e4c5), LL(0x3939e439d5dd72ec), LL(0x4c4c2d4c5a619816),
LL(0x5e5e655eca3bbc94), LL(0x7878fd78e785f09f), LL(0x3838e038ddd870e5), LL(0x8c8c0a8c14860598),
LL(0xd1d163d1c6b2bf17), LL(0xa5a5aea5410b57e4), LL(0xe2e2afe2434dd9a1), LL(0x616199612ff8c24e),
LL(0xb3b3f6b3f1457b42), LL(0x2121842115a54234), LL(0x9c9c4a9c94d62508), LL(0x1e1e781ef0663cee),
LL(0x4343114322528661), LL(0xc7c73bc776fc93b1), LL(0xfcfcd7fcb32be54f), LL(0x0404100420140824),
LL(0x51515951b208a2e3), LL(0x99995e99bcc72f25), LL(0x6d6da96d4fc4da22), LL(0x0d0d340d68391a65),
LL(0xfafacffa8335e979), LL(0xdfdf5bdfb684a369), LL(0x7e7ee57ed79bfca9), LL(0x242490243db44819),
LL(0x3b3bec3bc5d776fe), LL(0xabab96ab313d4b9a), LL(0xcece1fce3ed181f0), LL(0x1111441188552299),
LL(0x8f8f068f0c890383), LL(0x4e4e254e4a6b9c04), LL(0xb7b7e6b7d1517366), LL(0xebeb8beb0b60cbe0),
LL(0x3c3cf03cfdcc78c1), LL(0x81813e817cbf1ffd), LL(0x94946a94d4fe3540), LL(0xf7f7fbf7eb0cf31c),
LL(0xb9b9deb9a1676f18), LL(0x13134c13985f268b), LL(0x2c2cb02c7d9c5851), LL(0xd3d36bd3d6b8bb05),
LL(0xe7e7bbe76b5cd38c), LL(0x6e6ea56e57cbdc39), LL(0xc4c437c46ef395aa), LL(0x03030c03180f061b),
LL(0x565645568a13acdc), LL(0x44440d441a49885e), LL(0x7f7fe17fdf9efea0), LL(0xa9a99ea921374f88),
LL(0x2a2aa82a4d825467), LL(0xbbbbd6bbb16d6b0a), LL(0xc1c123c146e29f87), LL(0x53535153a202a6f1),
LL(0xdcdc57dcae8ba572), LL(0x0b0b2c0b58271653), LL(0x9d9d4e9d9cd32701), LL(0x6c6cad6c47c1d82b),
LL(0x3131c43195f562a4), LL(0x7474cd7487b9e8f3), LL(0xf6f6fff6e309f115), LL(0x464605460a438c4c),
LL(0xacac8aac092645a5), LL(0x89891e893c970fb5), LL(0x14145014a04428b4), LL(0xe1e1a3e15b42dfba),
LL(0x16165816b04e2ca6), LL(0x3a3ae83acdd274f7), LL(0x6969b9696fd0d206), LL(0x09092409482d1241),
LL(0x7070dd70a7ade0d7), LL(0xb6b6e2b6d954716f), LL(0xd0d067d0ceb7bd1e), LL(0xeded93ed3b7ec7d6),
LL(0xcccc17cc2edb85e2), LL(0x424215422a578468), LL(0x98985a98b4c22d2c), LL(0xa4a4aaa4490e55ed),
LL(0x2828a0285d885075), LL(0x5c5c6d5cda31b886), LL(0xf8f8c7f8933fed6b), LL(0x8686228644a411c2),
LL(0xd818186018c07830), LL(0x2623238c2305af46), LL(0xb8c6c63fc67ef991), LL(0xfbe8e887e8136fcd),
LL(0xcb878726874ca113), LL(0x11b8b8dab8a9626d), LL(0x0901010401080502), LL(0x0d4f4f214f426e9e),
LL(0x9b3636d836adee6c), LL(0xffa6a6a2a6590451), LL(0x0cd2d26fd2debdb9), LL(0x0ef5f5f3f5fb06f7),
LL(0x967979f979ef80f2), LL(0x306f6fa16f5fcede), LL(0x6d91917e91fcef3f), LL(0xf852525552aa07a4),
LL(0x4760609d6027fdc0), LL(0x35bcbccabc897665), LL(0x379b9b569baccd2b), LL(0x8a8e8e028e048c01),
LL(0xd2a3a3b6a371155b), LL(0x6c0c0c300c603c18), LL(0x847b7bf17bff8af6), LL(0x803535d435b5e16a),
LL(0xf51d1d741de8693a), LL(0xb3e0e0a7e05347dd), LL(0x21d7d77bd7f6acb3), LL(0x9cc2c22fc25eed99),
LL(0x432e2eb82e6d965c), LL(0x294b4b314b627a96), LL(0x5dfefedffea321e1), LL(0xd5575741578216ae),
LL(0xbd15155415a8412a), LL(0xe87777c1779fb6ee), LL(0x923737dc37a5eb6e), LL(0x9ee5e5b3e57b56d7),
LL(0x139f9f469f8cd923), LL(0x23f0f0e7f0d317fd), LL(0x204a4a354a6a7f94), LL(0x44dada4fda9e95a9),
LL(0xa258587d58fa25b0), LL(0xcfc9c903c906ca8f), LL(0x7c2929a429558d52), LL(0x5a0a0a280a502214),
LL(0x50b1b1feb1e14f7f), LL(0xc9a0a0baa0691a5d), LL(0x146b6bb16b7fdad6), LL(0xd985852e855cab17),
LL(0x3cbdbdcebd817367), LL(0x8f5d5d695dd234ba), LL(0x9010104010805020), LL(0x07f4f4f7f4f303f5),
LL(0xddcbcb0bcb16c08b), LL(0xd33e3ef83eedc67c), LL(0x2d0505140528110a), LL(0x78676781671fe6ce),
LL(0x97e4e4b7e47353d5), LL(0x0227279c2725bb4e), LL(0x7341411941325882), LL(0xa78b8b168b2c9d0b),
LL(0xf6a7a7a6a7510153), LL(0xb27d7de97dcf94fa), LL(0x4995956e95dcfb37), LL(0x56d8d847d88e9fad),
LL(0x70fbfbcbfb8b30eb), LL(0xcdeeee9fee2371c1), LL(0xbb7c7ced7cc791f8), LL(0x716666856617e3cc),
LL(0x7bdddd53dda68ea7), LL(0xaf17175c17b84b2e), LL(0x454747014702468e), LL(0x1a9e9e429e84dc21),
LL(0xd4caca0fca1ec589), LL(0x582d2db42d75995a), LL(0x2ebfbfc6bf917963), LL(0x3f07071c07381b0e),
LL(0xacadad8ead012347), LL(0xb05a5a755aea2fb4), LL(0xef838336836cb51b), LL(0xb63333cc3385ff66),
LL(0x5c636391633ff2c6), LL(0x1202020802100a04), LL(0x93aaaa92aa393849), LL(0xde7171d971afa8e2),
LL(0xc6c8c807c80ecf8d), LL(0xd119196419c87d32), LL(0x3b49493949727092), LL(0x5fd9d943d9869aaf),
LL(0x31f2f2eff2c31df9), LL(0xa8e3e3abe34b48db), LL(0xb95b5b715be22ab6), LL(0xbc88881a8834920d),
LL(0x3e9a9a529aa4c829), LL(0x0b262698262dbe4c), LL(0xbf3232c8328dfa64), LL(0x59b0b0fab0e94a7d),
LL(0xf2e9e983e91b6acf), LL(0x770f0f3c0f78331e), LL(0x33d5d573d5e6a6b7), LL(0xf480803a8074ba1d),
LL(0x27bebec2be997c61), LL(0xebcdcd13cd26de87), LL(0x893434d034bde468), LL(0x3248483d487a7590),
LL(0x54ffffdbffab24e3), LL(0x8d7a7af57af78ff4), LL(0x6490907a90f4ea3d), LL(0x9d5f5f615fc23ebe),
LL(0x3d202080201da040), LL(0x0f6868bd6867d5d0), LL(0xca1a1a681ad07234), LL(0xb7aeae82ae192c41),
LL(0x7db4b4eab4c95e75), LL(0xce54544d549a19a8), LL(0x7f93937693ece53b), LL(0x2f222288220daa44),
LL(0x6364648d6407e9c8), LL(0x2af1f1e3f1db12ff), LL(0xcc7373d173bfa2e6), LL(0x8212124812905a24),
LL(0x7a40401d403a5d80), LL(0x4808082008402810), LL(0x95c3c32bc356e89b), LL(0xdfecec97ec337bc5),
LL(0x4ddbdb4bdb9690ab), LL(0xc0a1a1bea1611f5f), LL(0x918d8d0e8d1c8307), LL(0xc83d3df43df5c97a),
LL(0x5b97976697ccf133), LL(0x0000000000000000), LL(0xf9cfcf1bcf36d483), LL(0x6e2b2bac2b458756),
LL(0xe17676c57697b3ec), LL(0xe68282328264b019), LL(0x28d6d67fd6fea9b1), LL(0xc31b1b6c1bd87736),
LL(0x74b5b5eeb5c15b77), LL(0xbeafaf86af112943), LL(0x1d6a6ab56a77dfd4), LL(0xea50505d50ba0da0),
LL(0x5745450945124c8a), LL(0x38f3f3ebf3cb18fb), LL(0xad3030c0309df060), LL(0xc4efef9bef2b74c3),
LL(0xda3f3ffc3fe5c37e), LL(0xc755554955921caa), LL(0xdba2a2b2a2791059), LL(0xe9eaea8fea0365c9),
LL(0x6a656589650fecca), LL(0x03babad2bab96869), LL(0x4a2f2fbc2f65935e), LL(0x8ec0c027c04ee79d),
LL(0x60dede5fdebe81a1), LL(0xfc1c1c701ce06c38), LL(0x46fdfdd3fdbb2ee7), LL(0x1f4d4d294d52649a),
LL(0x7692927292e4e039), LL(0xfa7575c9758fbcea), LL(0x3606061806301e0c), LL(0xae8a8a128a249809),
LL(0x4bb2b2f2b2f94079), LL(0x85e6e6bfe66359d1), LL(0x7e0e0e380e70361c), LL(0xe71f1f7c1ff8633e),
LL(0x556262956237f7c4), LL(0x3ad4d477d4eea3b5), LL(0x81a8a89aa829324d), LL(0x5296966296c4f431),
LL(0x62f9f9c3f99b3aef), LL(0xa3c5c533c566f697), LL(0x102525942535b14a), LL(0xab59597959f220b2),
LL(0xd084842a8454ae15), LL(0xc57272d572b7a7e4), LL(0xec3939e439d5dd72), LL(0x164c4c2d4c5a6198),
LL(0x945e5e655eca3bbc), LL(0x9f7878fd78e785f0), LL(0xe53838e038ddd870), LL(0x988c8c0a8c148605),
LL(0x17d1d163d1c6b2bf), LL(0xe4a5a5aea5410b57), LL(0xa1e2e2afe2434dd9), LL(0x4e616199612ff8c2),
LL(0x42b3b3f6b3f1457b), LL(0x342121842115a542), LL(0x089c9c4a9c94d625), LL(0xee1e1e781ef0663c),
LL(0x6143431143225286), LL(0xb1c7c73bc776fc93), LL(0x4ffcfcd7fcb32be5), LL(0x2404041004201408),
LL(0xe351515951b208a2), LL(0x2599995e99bcc72f), LL(0x226d6da96d4fc4da), LL(0x650d0d340d68391a),
LL(0x79fafacffa8335e9), LL(0x69dfdf5bdfb684a3), LL(0xa97e7ee57ed79bfc), LL(0x19242490243db448),
LL(0xfe3b3bec3bc5d776), LL(0x9aabab96ab313d4b), LL(0xf0cece1fce3ed181), LL(0x9911114411885522),
LL(0x838f8f068f0c8903), LL(0x044e4e254e4a6b9c), LL(0x66b7b7e6b7d15173), LL(0xe0ebeb8beb0b60cb),
LL(0xc13c3cf03cfdcc78), LL(0xfd81813e817cbf1f), LL(0x4094946a94d4fe35), LL(0x1cf7f7fbf7eb0cf3),
LL(0x18b9b9deb9a1676f), LL(0x8b13134c13985f26), LL(0x512c2cb02c7d9c58), LL(0x05d3d36bd3d6b8bb),
LL(0x8ce7e7bbe76b5cd3), LL(0x396e6ea56e57cbdc), LL(0xaac4c437c46ef395), LL(0x1b03030c03180f06),
LL(0xdc565645568a13ac), LL(0x5e44440d441a4988), LL(0xa07f7fe17fdf9efe), LL(0x88a9a99ea921374f),
LL(0x672a2aa82a4d8254), LL(0x0abbbbd6bbb16d6b), LL(0x87c1c123c146e29f), LL(0xf153535153a202a6),
LL(0x72dcdc57dcae8ba5), LL(0x530b0b2c0b582716), LL(0x019d9d4e9d9cd327), LL(0x2b6c6cad6c47c1d8),
LL(0xa43131c43195f562), LL(0xf37474cd7487b9e8), LL(0x15f6f6fff6e309f1), LL(0x4c464605460a438c),
LL(0xa5acac8aac092645), LL(0xb589891e893c970f), LL(0xb414145014a04428), LL(0xbae1e1a3e15b42df),
LL(0xa616165816b04e2c), LL(0xf73a3ae83acdd274), LL(0x066969b9696fd0d2), LL(0x4109092409482d12),
LL(0xd77070dd70a7ade0), LL(0x6fb6b6e2b6d95471), LL(0x1ed0d067d0ceb7bd), LL(0xd6eded93ed3b7ec7),
LL(0xe2cccc17cc2edb85), LL(0x68424215422a5784), LL(0x2c98985a98b4c22d), LL(0xeda4a4aaa4490e55),
LL(0x752828a0285d8850), LL(0x865c5c6d5cda31b8), LL(0x6bf8f8c7f8933fed), LL(0xc28686228644a411),
LL(0x30d818186018c078), LL(0x462623238c2305af), LL(0x91b8c6c63fc67ef9), LL(0xcdfbe8e887e8136f),
LL(0x13cb878726874ca1), LL(0x6d11b8b8dab8a962), LL(0x0209010104010805), LL(0x9e0d4f4f214f426e),
LL(0x6c9b3636d836adee), LL(0x51ffa6a6a2a65904), LL(0xb90cd2d26fd2debd), LL(0xf70ef5f5f3f5fb06),
LL(0xf2967979f979ef80), LL(0xde306f6fa16f5fce), LL(0x3f6d91917e91fcef), LL(0xa4f852525552aa07),
LL(0xc04760609d6027fd), LL(0x6535bcbccabc8976), LL(0x2b379b9b569baccd), LL(0x018a8e8e028e048c),
LL(0x5bd2a3a3b6a37115), LL(0x186c0c0c300c603c), LL(0xf6847b7bf17bff8a), LL(0x6a803535d435b5e1),
LL(0x3af51d1d741de869), LL(0xddb3e0e0a7e05347), LL(0xb321d7d77bd7f6ac), LL(0x999cc2c22fc25eed),
LL(0x5c432e2eb82e6d96), LL(0x96294b4b314b627a), LL(0xe15dfefedffea321), LL(0xaed5575741578216),
LL(0x2abd15155415a841), LL(0xeee87777c1779fb6), LL(0x6e923737dc37a5eb), LL(0xd79ee5e5b3e57b56),
LL(0x23139f9f469f8cd9), LL(0xfd23f0f0e7f0d317), LL(0x94204a4a354a6a7f), LL(0xa944dada4fda9e95),
LL(0xb0a258587d58fa25), LL(0x8fcfc9c903c906ca), LL(0x527c2929a429558d), LL(0x145a0a0a280a5022),
LL(0x7f50b1b1feb1e14f), LL(0x5dc9a0a0baa0691a), LL(0xd6146b6bb16b7fda), LL(0x17d985852e855cab),
LL(0x673cbdbdcebd8173), LL(0xba8f5d5d695dd234), LL(0x2090101040108050), LL(0xf507f4f4f7f4f303),
LL(0x8bddcbcb0bcb16c0), LL(0x7cd33e3ef83eedc6), LL(0x0a2d050514052811), LL(0xce78676781671fe6),
LL(0xd597e4e4b7e47353), LL(0x4e0227279c2725bb), LL(0x8273414119413258), LL(0x0ba78b8b168b2c9d),
LL(0x53f6a7a7a6a75101), LL(0xfab27d7de97dcf94), LL(0x374995956e95dcfb), LL(0xad56d8d847d88e9f),
LL(0xeb70fbfbcbfb8b30), LL(0xc1cdeeee9fee2371), LL(0xf8bb7c7ced7cc791), LL(0xcc716666856617e3),
LL(0xa77bdddd53dda68e), LL(0x2eaf17175c17b84b), LL(0x8e45474701470246), LL(0x211a9e9e429e84dc),
LL(0x89d4caca0fca1ec5), LL(0x5a582d2db42d7599), LL(0x632ebfbfc6bf9179), LL(0x0e3f07071c07381b),
LL(0x47acadad8ead0123), LL(0xb4b05a5a755aea2f), LL(0x1bef838336836cb5), LL(0x66b63333cc3385ff),
LL(0xc65c636391633ff2), LL(0x041202020802100a), LL(0x4993aaaa92aa3938), LL(0xe2de7171d971afa8),
LL(0x8dc6c8c807c80ecf), LL(0x32d119196419c87d), LL(0x923b494939497270), LL(0xaf5fd9d943d9869a),
LL(0xf931f2f2eff2c31d), LL(0xdba8e3e3abe34b48), LL(0xb6b95b5b715be22a), LL(0x0dbc88881a883492),
LL(0x293e9a9a529aa4c8), LL(0x4c0b262698262dbe), LL(0x64bf3232c8328dfa), LL(0x7d59b0b0fab0e94a),
LL(0xcff2e9e983e91b6a), LL(0x1e770f0f3c0f7833), LL(0xb733d5d573d5e6a6), LL(0x1df480803a8074ba),
LL(0x6127bebec2be997c), LL(0x87ebcdcd13cd26de), LL(0x68893434d034bde4), LL(0x903248483d487a75),
LL(0xe354ffffdbffab24), LL(0xf48d7a7af57af78f), LL(0x3d6490907a90f4ea), LL(0xbe9d5f5f615fc23e),
LL(0x403d202080201da0), LL(0xd00f6868bd6867d5), LL(0x34ca1a1a681ad072), LL(0x41b7aeae82ae192c),
LL(0x757db4b4eab4c95e), LL(0xa8ce54544d549a19), LL(0x3b7f93937693ece5), LL(0x442f222288220daa),
LL(0xc86364648d6407e9), LL(0xff2af1f1e3f1db12), LL(0xe6cc7373d173bfa2), LL(0x248212124812905a),
LL(0x807a40401d403a5d), LL(0x1048080820084028), LL(0x9b95c3c32bc356e8), LL(0xc5dfecec97ec337b),
LL(0xab4ddbdb4bdb9690), LL(0x5fc0a1a1bea1611f), LL(0x07918d8d0e8d1c83), LL(0x7ac83d3df43df5c9),
LL(0x335b97976697ccf1), LL(0x0000000000000000), LL(0x83f9cfcf1bcf36d4), LL(0x566e2b2bac2b4587),
LL(0xece17676c57697b3), LL(0x19e68282328264b0), LL(0xb128d6d67fd6fea9), LL(0x36c31b1b6c1bd877),
LL(0x7774b5b5eeb5c15b), LL(0x43beafaf86af1129), LL(0xd41d6a6ab56a77df), LL(0xa0ea50505d50ba0d),
LL(0x8a5745450945124c), LL(0xfb38f3f3ebf3cb18), LL(0x60ad3030c0309df0), LL(0xc3c4efef9bef2b74),
LL(0x7eda3f3ffc3fe5c3), LL(0xaac755554955921c), LL(0x59dba2a2b2a27910), LL(0xc9e9eaea8fea0365),
LL(0xca6a656589650fec), LL(0x6903babad2bab968), LL(0x5e4a2f2fbc2f6593), LL(0x9d8ec0c027c04ee7),
LL(0xa160dede5fdebe81), LL(0x38fc1c1c701ce06c), LL(0xe746fdfdd3fdbb2e), LL(0x9a1f4d4d294d5264),
LL(0x397692927292e4e0), LL(0xeafa7575c9758fbc), LL(0x0c3606061806301e), LL(0x09ae8a8a128a2498),
LL(0x794bb2b2f2b2f940), LL(0xd185e6e6bfe66359), LL(0x1c7e0e0e380e7036), LL(0x3ee71f1f7c1ff863),
LL(0xc4556262956237f7), LL(0xb53ad4d477d4eea3), LL(0x4d81a8a89aa82932), LL(0x315296966296c4f4),
LL(0xef62f9f9c3f99b3a), LL(0x97a3c5c533c566f6), LL(0x4a102525942535b1), LL(0xb2ab59597959f220),
LL(0x15d084842a8454ae), LL(0xe4c57272d572b7a7), LL(0x72ec3939e439d5dd), LL(0x98164c4c2d4c5a61),
LL(0xbc945e5e655eca3b), LL(0xf09f7878fd78e785), LL(0x70e53838e038ddd8), LL(0x05988c8c0a8c1486),
LL(0xbf17d1d163d1c6b2), LL(0x57e4a5a5aea5410b), LL(0xd9a1e2e2afe2434d), LL(0xc24e616199612ff8),
LL(0x7b42b3b3f6b3f145), LL(0x42342121842115a5), LL(0x25089c9c4a9c94d6), LL(0x3cee1e1e781ef066),
LL(0x8661434311432252), LL(0x93b1c7c73bc776fc), LL(0xe54ffcfcd7fcb32b), LL(0x0824040410042014),
LL(0xa2e351515951b208), LL(0x2f2599995e99bcc7), LL(0xda226d6da96d4fc4), LL(0x1a650d0d340d6839),
LL(0xe979fafacffa8335), LL(0xa369dfdf5bdfb684), LL(0xfca97e7ee57ed79b), LL(0x4819242490243db4),
LL(0x76fe3b3bec3bc5d7), LL(0x4b9aabab96ab313d), LL(0x81f0cece1fce3ed1), LL(0x2299111144118855),
LL(0x03838f8f068f0c89), LL(0x9c044e4e254e4a6b), LL(0x7366b7b7e6b7d151), LL(0xcbe0ebeb8beb0b60),
LL(0x78c13c3cf03cfdcc), LL(0x1ffd81813e817cbf), LL(0x354094946a94d4fe), LL(0xf31cf7f7fbf7eb0c),
LL(0x6f18b9b9deb9a167), LL(0x268b13134c13985f), LL(0x58512c2cb02c7d9c), LL(0xbb05d3d36bd3d6b8),
LL(0xd38ce7e7bbe76b5c), LL(0xdc396e6ea56e57cb), LL(0x95aac4c437c46ef3), LL(0x061b03030c03180f),
LL(0xacdc565645568a13), LL(0x885e44440d441a49), LL(0xfea07f7fe17fdf9e), LL(0x4f88a9a99ea92137),
LL(0x54672a2aa82a4d82), LL(0x6b0abbbbd6bbb16d), LL(0x9f87c1c123c146e2), LL(0xa6f153535153a202),
LL(0xa572dcdc57dcae8b), LL(0x16530b0b2c0b5827), LL(0x27019d9d4e9d9cd3), LL(0xd82b6c6cad6c47c1),
LL(0x62a43131c43195f5), LL(0xe8f37474cd7487b9), LL(0xf115f6f6fff6e309), LL(0x8c4c464605460a43),
LL(0x45a5acac8aac0926), LL(0x0fb589891e893c97), LL(0x28b414145014a044), LL(0xdfbae1e1a3e15b42),
LL(0x2ca616165816b04e), LL(0x74f73a3ae83acdd2), LL(0xd2066969b9696fd0), LL(0x124109092409482d),
LL(0xe0d77070dd70a7ad), LL(0x716fb6b6e2b6d954), LL(0xbd1ed0d067d0ceb7), LL(0xc7d6eded93ed3b7e),
LL(0x85e2cccc17cc2edb), LL(0x8468424215422a57), LL(0x2d2c98985a98b4c2), LL(0x55eda4a4aaa4490e),
LL(0x50752828a0285d88), LL(0xb8865c5c6d5cda31), LL(0xed6bf8f8c7f8933f), LL(0x11c28686228644a4),
LL(0x7830d818186018c0), LL(0xaf462623238c2305), LL(0xf991b8c6c63fc67e), LL(0x6fcdfbe8e887e813),
LL(0xa113cb878726874c), LL(0x626d11b8b8dab8a9), LL(0x0502090101040108), LL(0x6e9e0d4f4f214f42),
LL(0xee6c9b3636d836ad), LL(0x0451ffa6a6a2a659), LL(0xbdb90cd2d26fd2de), LL(0x06f70ef5f5f3f5fb),
LL(0x80f2967979f979ef), LL(0xcede306f6fa16f5f), LL(0xef3f6d91917e91fc), LL(0x07a4f852525552aa),
LL(0xfdc04760609d6027), LL(0x766535bcbccabc89), LL(0xcd2b379b9b569bac), LL(0x8c018a8e8e028e04),
LL(0x155bd2a3a3b6a371), LL(0x3c186c0c0c300c60), LL(0x8af6847b7bf17bff), LL(0xe16a803535d435b5),
LL(0x693af51d1d741de8), LL(0x47ddb3e0e0a7e053), LL(0xacb321d7d77bd7f6), LL(0xed999cc2c22fc25e),
LL(0x965c432e2eb82e6d), LL(0x7a96294b4b314b62), LL(0x21e15dfefedffea3), LL(0x16aed55757415782),
LL(0x412abd15155415a8), LL(0xb6eee87777c1779f), LL(0xeb6e923737dc37a5), LL(0x56d79ee5e5b3e57b),
LL(0xd923139f9f469f8c), LL(0x17fd23f0f0e7f0d3), LL(0x7f94204a4a354a6a), LL(0x95a944dada4fda9e),
LL(0x25b0a258587d58fa), LL(0xca8fcfc9c903c906), LL(0x8d527c2929a42955), LL(0x22145a0a0a280a50),
LL(0x4f7f50b1b1feb1e1), LL(0x1a5dc9a0a0baa069), LL(0xdad6146b6bb16b7f), LL(0xab17d985852e855c),
LL(0x73673cbdbdcebd81), LL(0x34ba8f5d5d695dd2), LL(0x5020901010401080), LL(0x03f507f4f4f7f4f3),
LL(0xc08bddcbcb0bcb16), LL(0xc67cd33e3ef83eed), LL(0x110a2d0505140528), LL(0xe6ce78676781671f),
LL(0x53d597e4e4b7e473), LL(0xbb4e0227279c2725), LL(0x5882734141194132), LL(0x9d0ba78b8b168b2c),
LL(0x0153f6a7a7a6a751), LL(0x94fab27d7de97dcf), LL(0xfb374995956e95dc), LL(0x9fad56d8d847d88e),
LL(0x30eb70fbfbcbfb8b), LL(0x71c1cdeeee9fee23), LL(0x91f8bb7c7ced7cc7), LL(0xe3cc716666856617),
LL(0x8ea77bdddd53dda6), LL(0x4b2eaf17175c17b8), LL(0x468e454747014702), LL(0xdc211a9e9e429e84),
LL(0xc589d4caca0fca1e), LL(0x995a582d2db42d75), LL(0x79632ebfbfc6bf91), LL(0x1b0e3f07071c0738),
LL(0x2347acadad8ead01), LL(0x2fb4b05a5a755aea), LL(0xb51bef838336836c), LL(0xff66b63333cc3385),
LL(0xf2c65c636391633f), LL(0x0a04120202080210), LL(0x384993aaaa92aa39), LL(0xa8e2de7171d971af),
LL(0xcf8dc6c8c807c80e), LL(0x7d32d119196419c8), LL(0x70923b4949394972), LL(0x9aaf5fd9d943d986),
LL(0x1df931f2f2eff2c3), LL(0x48dba8e3e3abe34b), LL(0x2ab6b95b5b715be2), LL(0x920dbc88881a8834),
LL(0xc8293e9a9a529aa4), LL(0xbe4c0b262698262d), LL(0xfa64bf3232c8328d), LL(0x4a7d59b0b0fab0e9),
LL(0x6acff2e9e983e91b), LL(0x331e770f0f3c0f78), LL(0xa6b733d5d573d5e6), LL(0xba1df480803a8074),
LL(0x7c6127bebec2be99), LL(0xde87ebcdcd13cd26), LL(0xe468893434d034bd), LL(0x75903248483d487a),
LL(0x24e354ffffdbffab), LL(0x8ff48d7a7af57af7), LL(0xea3d6490907a90f4), LL(0x3ebe9d5f5f615fc2),
LL(0xa0403d202080201d), LL(0xd5d00f6868bd6867), LL(0x7234ca1a1a681ad0), LL(0x2c41b7aeae82ae19),
LL(0x5e757db4b4eab4c9), LL(0x19a8ce54544d549a), LL(0xe53b7f93937693ec), LL(0xaa442f222288220d),
LL(0xe9c86364648d6407), LL(0x12ff2af1f1e3f1db), LL(0xa2e6cc7373d173bf), LL(0x5a24821212481290),
LL(0x5d807a40401d403a), LL(0x2810480808200840), LL(0xe89b95c3c32bc356), LL(0x7bc5dfecec97ec33),
LL(0x90ab4ddbdb4bdb96), LL(0x1f5fc0a1a1bea161), LL(0x8307918d8d0e8d1c), LL(0xc97ac83d3df43df5),
LL(0xf1335b97976697cc), LL(0x0000000000000000), LL(0xd483f9cfcf1bcf36), LL(0x87566e2b2bac2b45),
LL(0xb3ece17676c57697), LL(0xb019e68282328264), LL(0xa9b128d6d67fd6fe), LL(0x7736c31b1b6c1bd8),
LL(0x5b7774b5b5eeb5c1), LL(0x2943beafaf86af11), LL(0xdfd41d6a6ab56a77), LL(0x0da0ea50505d50ba),
LL(0x4c8a574545094512), LL(0x18fb38f3f3ebf3cb), LL(0xf060ad3030c0309d), LL(0x74c3c4efef9bef2b),
LL(0xc37eda3f3ffc3fe5), LL(0x1caac75555495592), LL(0x1059dba2a2b2a279), LL(0x65c9e9eaea8fea03),
LL(0xecca6a656589650f), LL(0x686903babad2bab9), LL(0x935e4a2f2fbc2f65), LL(0xe79d8ec0c027c04e),
LL(0x81a160dede5fdebe), LL(0x6c38fc1c1c701ce0), LL(0x2ee746fdfdd3fdbb), LL(0x649a1f4d4d294d52),
LL(0xe0397692927292e4), LL(0xbceafa7575c9758f), LL(0x1e0c360606180630), LL(0x9809ae8a8a128a24),
LL(0x40794bb2b2f2b2f9), LL(0x59d185e6e6bfe663), LL(0x361c7e0e0e380e70), LL(0x633ee71f1f7c1ff8),
LL(0xf7c4556262956237), LL(0xa3b53ad4d477d4ee), LL(0x324d81a8a89aa829), LL(0xf4315296966296c4),
LL(0x3aef62f9f9c3f99b), LL(0xf697a3c5c533c566), LL(0xb14a102525942535), LL(0x20b2ab59597959f2),
LL(0xae15d084842a8454), LL(0xa7e4c57272d572b7), LL(0xdd72ec3939e439d5), LL(0x6198164c4c2d4c5a),
LL(0x3bbc945e5e655eca), LL(0x85f09f7878fd78e7), LL(0xd870e53838e038dd), LL(0x8605988c8c0a8c14),
LL(0xb2bf17d1d163d1c6), LL(0x0b57e4a5a5aea541), LL(0x4dd9a1e2e2afe243), LL(0xf8c24e616199612f),
LL(0x457b42b3b3f6b3f1), LL(0xa542342121842115), LL(0xd625089c9c4a9c94), LL(0x663cee1e1e781ef0),
LL(0x5286614343114322), LL(0xfc93b1c7c73bc776), LL(0x2be54ffcfcd7fcb3), LL(0x1408240404100420),
LL(0x08a2e351515951b2), LL(0xc72f2599995e99bc), LL(0xc4da226d6da96d4f), LL(0x391a650d0d340d68),
LL(0x35e979fafacffa83), LL(0x84a369dfdf5bdfb6), LL(0x9bfca97e7ee57ed7), LL(0xb44819242490243d),
LL(0xd776fe3b3bec3bc5), LL(0x3d4b9aabab96ab31), LL(0xd181f0cece1fce3e), LL(0x5522991111441188),
LL(0x8903838f8f068f0c), LL(0x6b9c044e4e254e4a), LL(0x517366b7b7e6b7d1), LL(0x60cbe0ebeb8beb0b),
LL(0xcc78c13c3cf03cfd), LL(0xbf1ffd81813e817c), LL(0xfe354094946a94d4), LL(0x0cf31cf7f7fbf7eb),
LL(0x676f18b9b9deb9a1), LL(0x5f268b13134c1398), LL(0x9c58512c2cb02c7d), LL(0xb8bb05d3d36bd3d6),
LL(0x5cd38ce7e7bbe76b), LL(0xcbdc396e6ea56e57), LL(0xf395aac4c437c46e), LL(0x0f061b03030c0318),
LL(0x13acdc565645568a), LL(0x49885e44440d441a), LL(0x9efea07f7fe17fdf), LL(0x374f88a9a99ea921),
LL(0x8254672a2aa82a4d), LL(0x6d6b0abbbbd6bbb1), LL(0xe29f87c1c123c146), LL(0x02a6f153535153a2),
LL(0x8ba572dcdc57dcae), LL(0x2716530b0b2c0b58), LL(0xd327019d9d4e9d9c), LL(0xc1d82b6c6cad6c47),
LL(0xf562a43131c43195), LL(0xb9e8f37474cd7487), LL(0x09f115f6f6fff6e3), LL(0x438c4c464605460a),
LL(0x2645a5acac8aac09), LL(0x970fb589891e893c), LL(0x4428b414145014a0), LL(0x42dfbae1e1a3e15b),
LL(0x4e2ca616165816b0), LL(0xd274f73a3ae83acd), LL(0xd0d2066969b9696f), LL(0x2d12410909240948),
LL(0xade0d77070dd70a7), LL(0x54716fb6b6e2b6d9), LL(0xb7bd1ed0d067d0ce), LL(0x7ec7d6eded93ed3b),
LL(0xdb85e2cccc17cc2e), LL(0x578468424215422a), LL(0xc22d2c98985a98b4), LL(0x0e55eda4a4aaa449),
LL(0x8850752828a0285d), LL(0x31b8865c5c6d5cda), LL(0x3fed6bf8f8c7f893), LL(0xa411c28686228644),
LL(0xc07830d818186018), LL(0x05af462623238c23), LL(0x7ef991b8c6c63fc6), LL(0x136fcdfbe8e887e8),
LL(0x4ca113cb87872687), LL(0xa9626d11b8b8dab8), LL(0x0805020901010401), LL(0x426e9e0d4f4f214f),
LL(0xadee6c9b3636d836), LL(0x590451ffa6a6a2a6), LL(0xdebdb90cd2d26fd2), LL(0xfb06f70ef5f5f3f5),
LL(0xef80f2967979f979), LL(0x5fcede306f6fa16f), LL(0xfcef3f6d91917e91), LL(0xaa07a4f852525552),
LL(0x27fdc04760609d60), LL(0x89766535bcbccabc), LL(0xaccd2b379b9b569b), LL(0x048c018a8e8e028e),
LL(0x71155bd2a3a3b6a3), LL(0x603c186c0c0c300c), LL(0xff8af6847b7bf17b), LL(0xb5e16a803535d435),
LL(0xe8693af51d1d741d), LL(0x5347ddb3e0e0a7e0), LL(0xf6acb321d7d77bd7), LL(0x5eed999cc2c22fc2),
LL(0x6d965c432e2eb82e), LL(0x627a96294b4b314b), LL(0xa321e15dfefedffe), LL(0x8216aed557574157),
LL(0xa8412abd15155415), LL(0x9fb6eee87777c177), LL(0xa5eb6e923737dc37), LL(0x7b56d79ee5e5b3e5),
LL(0x8cd923139f9f469f), LL(0xd317fd23f0f0e7f0), LL(0x6a7f94204a4a354a), LL(0x9e95a944dada4fda),
LL(0xfa25b0a258587d58), LL(0x06ca8fcfc9c903c9), LL(0x558d527c2929a429), LL(0x5022145a0a0a280a),
LL(0xe14f7f50b1b1feb1), LL(0x691a5dc9a0a0baa0), LL(0x7fdad6146b6bb16b), LL(0x5cab17d985852e85),
LL(0x8173673cbdbdcebd), LL(0xd234ba8f5d5d695d), LL(0x8050209010104010), LL(0xf303f507f4f4f7f4),
LL(0x16c08bddcbcb0bcb), LL(0xedc67cd33e3ef83e), LL(0x28110a2d05051405), LL(0x1fe6ce7867678167),
LL(0x7353d597e4e4b7e4), LL(0x25bb4e0227279c27), LL(0x3258827341411941), LL(0x2c9d0ba78b8b168b),
LL(0x510153f6a7a7a6a7), LL(0xcf94fab27d7de97d), LL(0xdcfb374995956e95), LL(0x8e9fad56d8d847d8),
LL(0x8b30eb70fbfbcbfb), LL(0x2371c1cdeeee9fee), LL(0xc791f8bb7c7ced7c), LL(0x17e3cc7166668566),
LL(0xa68ea77bdddd53dd), LL(0xb84b2eaf17175c17), LL(0x02468e4547470147), LL(0x84dc211a9e9e429e),
LL(0x1ec589d4caca0fca), LL(0x75995a582d2db42d), LL(0x9179632ebfbfc6bf), LL(0x381b0e3f07071c07),
LL(0x012347acadad8ead), LL(0xea2fb4b05a5a755a), LL(0x6cb51bef83833683), LL(0x85ff66b63333cc33),
LL(0x3ff2c65c63639163), LL(0x100a041202020802), LL(0x39384993aaaa92aa), LL(0xafa8e2de7171d971),
LL(0x0ecf8dc6c8c807c8), LL(0xc87d32d119196419), LL(0x7270923b49493949), LL(0x869aaf5fd9d943d9),
LL(0xc31df931f2f2eff2), LL(0x4b48dba8e3e3abe3), LL(0xe22ab6b95b5b715b), LL(0x34920dbc88881a88),
LL(0xa4c8293e9a9a529a), LL(0x2dbe4c0b26269826), LL(0x8dfa64bf3232c832), LL(0xe94a7d59b0b0fab0),
LL(0x1b6acff2e9e983e9), LL(0x78331e770f0f3c0f), LL(0xe6a6b733d5d573d5), LL(0x74ba1df480803a80),
LL(0x997c6127bebec2be), LL(0x26de87ebcdcd13cd), LL(0xbde468893434d034), LL(0x7a75903248483d48),
LL(0xab24e354ffffdbff), LL(0xf78ff48d7a7af57a), LL(0xf4ea3d6490907a90), LL(0xc23ebe9d5f5f615f),
LL(0x1da0403d20208020), LL(0x67d5d00f6868bd68), LL(0xd07234ca1a1a681a), LL(0x192c41b7aeae82ae),
LL(0xc95e757db4b4eab4), LL(0x9a19a8ce54544d54), LL(0xece53b7f93937693), LL(0x0daa442f22228822),
LL(0x07e9c86364648d64), LL(0xdb12ff2af1f1e3f1), LL(0xbfa2e6cc7373d173), LL(0x905a248212124812),
LL(0x3a5d807a40401d40), LL(0x4028104808082008), LL(0x56e89b95c3c32bc3), LL(0x337bc5dfecec97ec),
LL(0x9690ab4ddbdb4bdb), LL(0x611f5fc0a1a1bea1), LL(0x1c8307918d8d0e8d), LL(0xf5c97ac83d3df43d),
LL(0xccf1335b97976697), LL(0x0000000000000000), LL(0x36d483f9cfcf1bcf), LL(0x4587566e2b2bac2b),
LL(0x97b3ece17676c576), LL(0x64b019e682823282), LL(0xfea9b128d6d67fd6), LL(0xd87736c31b1b6c1b),
LL(0xc15b7774b5b5eeb5), LL(0x112943beafaf86af), LL(0x77dfd41d6a6ab56a), LL(0xba0da0ea50505d50),
LL(0x124c8a5745450945), LL(0xcb18fb38f3f3ebf3), LL(0x9df060ad3030c030), LL(0x2b74c3c4efef9bef),
LL(0xe5c37eda3f3ffc3f), LL(0x921caac755554955), LL(0x791059dba2a2b2a2), LL(0x0365c9e9eaea8fea),
LL(0x0fecca6a65658965), LL(0xb9686903babad2ba), LL(0x65935e4a2f2fbc2f), LL(0x4ee79d8ec0c027c0),
LL(0xbe81a160dede5fde), LL(0xe06c38fc1c1c701c), LL(0xbb2ee746fdfdd3fd), LL(0x52649a1f4d4d294d),
LL(0xe4e0397692927292), LL(0x8fbceafa7575c975), LL(0x301e0c3606061806), LL(0x249809ae8a8a128a),
LL(0xf940794bb2b2f2b2), LL(0x6359d185e6e6bfe6), LL(0x70361c7e0e0e380e), LL(0xf8633ee71f1f7c1f),
LL(0x37f7c45562629562), LL(0xeea3b53ad4d477d4), LL(0x29324d81a8a89aa8), LL(0xc4f4315296966296),
LL(0x9b3aef62f9f9c3f9), LL(0x66f697a3c5c533c5), LL(0x35b14a1025259425), LL(0xf220b2ab59597959),
LL(0x54ae15d084842a84), LL(0xb7a7e4c57272d572), LL(0xd5dd72ec3939e439), LL(0x5a6198164c4c2d4c),
LL(0xca3bbc945e5e655e), LL(0xe785f09f7878fd78), LL(0xddd870e53838e038), LL(0x148605988c8c0a8c),
LL(0xc6b2bf17d1d163d1), LL(0x410b57e4a5a5aea5), LL(0x434dd9a1e2e2afe2), LL(0x2ff8c24e61619961),
LL(0xf1457b42b3b3f6b3), LL(0x15a5423421218421), LL(0x94d625089c9c4a9c), LL(0xf0663cee1e1e781e),
LL(0x2252866143431143), LL(0x76fc93b1c7c73bc7), LL(0xb32be54ffcfcd7fc), LL(0x2014082404041004),
LL(0xb208a2e351515951), LL(0xbcc72f2599995e99), LL(0x4fc4da226d6da96d), LL(0x68391a650d0d340d),
LL(0x8335e979fafacffa), LL(0xb684a369dfdf5bdf), LL(0xd79bfca97e7ee57e), LL(0x3db4481924249024),
LL(0xc5d776fe3b3bec3b), LL(0x313d4b9aabab96ab), LL(0x3ed181f0cece1fce), LL(0x8855229911114411),
LL(0x0c8903838f8f068f), LL(0x4a6b9c044e4e254e), LL(0xd1517366b7b7e6b7), LL(0x0b60cbe0ebeb8beb),
LL(0xfdcc78c13c3cf03c), LL(0x7cbf1ffd81813e81), LL(0xd4fe354094946a94), LL(0xeb0cf31cf7f7fbf7),
LL(0xa1676f18b9b9deb9), LL(0x985f268b13134c13), LL(0x7d9c58512c2cb02c), LL(0xd6b8bb05d3d36bd3),
LL(0x6b5cd38ce7e7bbe7), LL(0x57cbdc396e6ea56e), LL(0x6ef395aac4c437c4), LL(0x180f061b03030c03),
LL(0x8a13acdc56564556), LL(0x1a49885e44440d44), LL(0xdf9efea07f7fe17f), LL(0x21374f88a9a99ea9),
LL(0x4d8254672a2aa82a), LL(0xb16d6b0abbbbd6bb), LL(0x46e29f87c1c123c1), LL(0xa202a6f153535153),
LL(0xae8ba572dcdc57dc), LL(0x582716530b0b2c0b), LL(0x9cd327019d9d4e9d), LL(0x47c1d82b6c6cad6c),
LL(0x95f562a43131c431), LL(0x87b9e8f37474cd74), LL(0xe309f115f6f6fff6), LL(0x0a438c4c46460546),
LL(0x092645a5acac8aac), LL(0x3c970fb589891e89), LL(0xa04428b414145014), LL(0x5b42dfbae1e1a3e1),
LL(0xb04e2ca616165816), LL(0xcdd274f73a3ae83a), LL(0x6fd0d2066969b969), LL(0x482d124109092409),
LL(0xa7ade0d77070dd70), LL(0xd954716fb6b6e2b6), LL(0xceb7bd1ed0d067d0), LL(0x3b7ec7d6eded93ed),
LL(0x2edb85e2cccc17cc), LL(0x2a57846842421542), LL(0xb4c22d2c98985a98), LL(0x490e55eda4a4aaa4),
LL(0x5d8850752828a028), LL(0xda31b8865c5c6d5c), LL(0x933fed6bf8f8c7f8), LL(0x44a411c286862286),
LL(0x18c07830d8181860), LL(0x2305af462623238c), LL(0xc67ef991b8c6c63f), LL(0xe8136fcdfbe8e887),
LL(0x874ca113cb878726), LL(0xb8a9626d11b8b8da), LL(0x0108050209010104), LL(0x4f426e9e0d4f4f21),
LL(0x36adee6c9b3636d8), LL(0xa6590451ffa6a6a2), LL(0xd2debdb90cd2d26f), LL(0xf5fb06f70ef5f5f3),
LL(0x79ef80f2967979f9), LL(0x6f5fcede306f6fa1), LL(0x91fcef3f6d91917e), LL(0x52aa07a4f8525255),
LL(0x6027fdc04760609d), LL(0xbc89766535bcbcca), LL(0x9baccd2b379b9b56), LL(0x8e048c018a8e8e02),
LL(0xa371155bd2a3a3b6), LL(0x0c603c186c0c0c30), LL(0x7bff8af6847b7bf1), LL(0x35b5e16a803535d4),
LL(0x1de8693af51d1d74), LL(0xe05347ddb3e0e0a7), LL(0xd7f6acb321d7d77b), LL(0xc25eed999cc2c22f),
LL(0x2e6d965c432e2eb8), LL(0x4b627a96294b4b31), LL(0xfea321e15dfefedf), LL(0x578216aed5575741),
LL(0x15a8412abd151554), LL(0x779fb6eee87777c1), LL(0x37a5eb6e923737dc), LL(0xe57b56d79ee5e5b3),
LL(0x9f8cd923139f9f46), LL(0xf0d317fd23f0f0e7), LL(0x4a6a7f94204a4a35), LL(0xda9e95a944dada4f),
LL(0x58fa25b0a258587d), LL(0xc906ca8fcfc9c903), LL(0x29558d527c2929a4), LL(0x0a5022145a0a0a28),
LL(0xb1e14f7f50b1b1fe), LL(0xa0691a5dc9a0a0ba), LL(0x6b7fdad6146b6bb1), LL(0x855cab17d985852e),
LL(0xbd8173673cbdbdce), LL(0x5dd234ba8f5d5d69), LL(0x1080502090101040), LL(0xf4f303f507f4f4f7),
LL(0xcb16c08bddcbcb0b), LL(0x3eedc67cd33e3ef8), LL(0x0528110a2d050514), LL(0x671fe6ce78676781),
LL(0xe47353d597e4e4b7), LL(0x2725bb4e0227279c), LL(0x4132588273414119), LL(0x8b2c9d0ba78b8b16),
LL(0xa7510153f6a7a7a6), LL(0x7dcf94fab27d7de9), LL(0x95dcfb374995956e), LL(0xd88e9fad56d8d847),
LL(0xfb8b30eb70fbfbcb), LL(0xee2371c1cdeeee9f), LL(0x7cc791f8bb7c7ced), LL(0x6617e3cc71666685),
LL(0xdda68ea77bdddd53), LL(0x17b84b2eaf17175c), LL(0x4702468e45474701), LL(0x9e84dc211a9e9e42),
LL(0xca1ec589d4caca0f), LL(0x2d75995a582d2db4), LL(0xbf9179632ebfbfc6), LL(0x07381b0e3f07071c),
LL(0xad012347acadad8e), LL(0x5aea2fb4b05a5a75), LL(0x836cb51bef838336), LL(0x3385ff66b63333cc),
LL(0x633ff2c65c636391), LL(0x02100a0412020208), LL(0xaa39384993aaaa92), LL(0x71afa8e2de7171d9),
LL(0xc80ecf8dc6c8c807), LL(0x19c87d32d1191964), LL(0x497270923b494939), LL(0xd9869aaf5fd9d943),
LL(0xf2c31df931f2f2ef), LL(0xe34b48dba8e3e3ab), LL(0x5be22ab6b95b5b71), LL(0x8834920dbc88881a),
LL(0x9aa4c8293e9a9a52), LL(0x262dbe4c0b262698), LL(0x328dfa64bf3232c8), LL(0xb0e94a7d59b0b0fa),
LL(0xe91b6acff2e9e983), LL(0x0f78331e770f0f3c), LL(0xd5e6a6b733d5d573), LL(0x8074ba1df480803a),
LL(0xbe997c6127bebec2), LL(0xcd26de87ebcdcd13), LL(0x34bde468893434d0), LL(0x487a75903248483d),
LL(0xffab24e354ffffdb), LL(0x7af78ff48d7a7af5), LL(0x90f4ea3d6490907a), LL(0x5fc23ebe9d5f5f61),
LL(0x201da0403d202080), LL(0x6867d5d00f6868bd), LL(0x1ad07234ca1a1a68), LL(0xae192c41b7aeae82),
LL(0xb4c95e757db4b4ea), LL(0x549a19a8ce54544d), LL(0x93ece53b7f939376), LL(0x220daa442f222288),
LL(0x6407e9c86364648d), LL(0xf1db12ff2af1f1e3), LL(0x73bfa2e6cc7373d1), LL(0x12905a2482121248),
LL(0x403a5d807a40401d), LL(0x0840281048080820), LL(0xc356e89b95c3c32b), LL(0xec337bc5dfecec97),
LL(0xdb9690ab4ddbdb4b), LL(0xa1611f5fc0a1a1be), LL(0x8d1c8307918d8d0e), LL(0x3df5c97ac83d3df4),
LL(0x97ccf1335b979766), LL(0x0000000000000000), LL(0xcf36d483f9cfcf1b), LL(0x2b4587566e2b2bac),
LL(0x7697b3ece17676c5), LL(0x8264b019e6828232), LL(0xd6fea9b128d6d67f), LL(0x1bd87736c31b1b6c),
LL(0xb5c15b7774b5b5ee), LL(0xaf112943beafaf86), LL(0x6a77dfd41d6a6ab5), LL(0x50ba0da0ea50505d),
LL(0x45124c8a57454509), LL(0xf3cb18fb38f3f3eb), LL(0x309df060ad3030c0), LL(0xef2b74c3c4efef9b),
LL(0x3fe5c37eda3f3ffc), LL(0x55921caac7555549), LL(0xa2791059dba2a2b2), LL(0xea0365c9e9eaea8f),
LL(0x650fecca6a656589), LL(0xbab9686903babad2), LL(0x2f65935e4a2f2fbc), LL(0xc04ee79d8ec0c027),
LL(0xdebe81a160dede5f), LL(0x1ce06c38fc1c1c70), LL(0xfdbb2ee746fdfdd3), LL(0x4d52649a1f4d4d29),
LL(0x92e4e03976929272), LL(0x758fbceafa7575c9), LL(0x06301e0c36060618), LL(0x8a249809ae8a8a12),
LL(0xb2f940794bb2b2f2), LL(0xe66359d185e6e6bf), LL(0x0e70361c7e0e0e38), LL(0x1ff8633ee71f1f7c),
LL(0x6237f7c455626295), LL(0xd4eea3b53ad4d477), LL(0xa829324d81a8a89a), LL(0x96c4f43152969662),
LL(0xf99b3aef62f9f9c3), LL(0xc566f697a3c5c533), LL(0x2535b14a10252594), LL(0x59f220b2ab595979),
LL(0x8454ae15d084842a), LL(0x72b7a7e4c57272d5), LL(0x39d5dd72ec3939e4), LL(0x4c5a6198164c4c2d),
LL(0x5eca3bbc945e5e65), LL(0x78e785f09f7878fd), LL(0x38ddd870e53838e0), LL(0x8c148605988c8c0a),
LL(0xd1c6b2bf17d1d163), LL(0xa5410b57e4a5a5ae), LL(0xe2434dd9a1e2e2af), LL(0x612ff8c24e616199),
LL(0xb3f1457b42b3b3f6), LL(0x2115a54234212184), LL(0x9c94d625089c9c4a), LL(0x1ef0663cee1e1e78),
LL(0x4322528661434311), LL(0xc776fc93b1c7c73b), LL(0xfcb32be54ffcfcd7), LL(0x0420140824040410),
LL(0x51b208a2e3515159), LL(0x99bcc72f2599995e), LL(0x6d4fc4da226d6da9), LL(0x0d68391a650d0d34),
LL(0xfa8335e979fafacf), LL(0xdfb684a369dfdf5b), LL(0x7ed79bfca97e7ee5), LL(0x243db44819242490),
LL(0x3bc5d776fe3b3bec), LL(0xab313d4b9aabab96), LL(0xce3ed181f0cece1f), LL(0x1188552299111144),
LL(0x8f0c8903838f8f06), LL(0x4e4a6b9c044e4e25), LL(0xb7d1517366b7b7e6), LL(0xeb0b60cbe0ebeb8b),
LL(0x3cfdcc78c13c3cf0), LL(0x817cbf1ffd81813e), LL(0x94d4fe354094946a), LL(0xf7eb0cf31cf7f7fb),
LL(0xb9a1676f18b9b9de), LL(0x13985f268b13134c), LL(0x2c7d9c58512c2cb0), LL(0xd3d6b8bb05d3d36b),
LL(0xe76b5cd38ce7e7bb), LL(0x6e57cbdc396e6ea5), LL(0xc46ef395aac4c437), LL(0x03180f061b03030c),
LL(0x568a13acdc565645), LL(0x441a49885e44440d), LL(0x7fdf9efea07f7fe1), LL(0xa921374f88a9a99e),
LL(0x2a4d8254672a2aa8), LL(0xbbb16d6b0abbbbd6), LL(0xc146e29f87c1c123), LL(0x53a202a6f1535351),
LL(0xdcae8ba572dcdc57), LL(0x0b582716530b0b2c), LL(0x9d9cd327019d9d4e), LL(0x6c47c1d82b6c6cad),
LL(0x3195f562a43131c4), LL(0x7487b9e8f37474cd), LL(0xf6e309f115f6f6ff), LL(0x460a438c4c464605),
LL(0xac092645a5acac8a), LL(0x893c970fb589891e), LL(0x14a04428b4141450), LL(0xe15b42dfbae1e1a3),
LL(0x16b04e2ca6161658), LL(0x3acdd274f73a3ae8), LL(0x696fd0d2066969b9), LL(0x09482d1241090924),
LL(0x70a7ade0d77070dd), LL(0xb6d954716fb6b6e2), LL(0xd0ceb7bd1ed0d067), LL(0xed3b7ec7d6eded93),
LL(0xcc2edb85e2cccc17), LL(0x422a578468424215), LL(0x98b4c22d2c98985a), LL(0xa4490e55eda4a4aa),
LL(0x285d8850752828a0), LL(0x5cda31b8865c5c6d), LL(0xf8933fed6bf8f8c7), LL(0x8644a411c2868622),
LL(0x6018c07830d81818), LL(0x8c2305af46262323), LL(0x3fc67ef991b8c6c6), LL(0x87e8136fcdfbe8e8),
LL(0x26874ca113cb8787), LL(0xdab8a9626d11b8b8), LL(0x0401080502090101), LL(0x214f426e9e0d4f4f),
LL(0xd836adee6c9b3636), LL(0xa2a6590451ffa6a6), LL(0x6fd2debdb90cd2d2), LL(0xf3f5fb06f70ef5f5),
LL(0xf979ef80f2967979), LL(0xa16f5fcede306f6f), LL(0x7e91fcef3f6d9191), LL(0x5552aa07a4f85252),
LL(0x9d6027fdc0476060), LL(0xcabc89766535bcbc), LL(0x569baccd2b379b9b), LL(0x028e048c018a8e8e),
LL(0xb6a371155bd2a3a3), LL(0x300c603c186c0c0c), LL(0xf17bff8af6847b7b), LL(0xd435b5e16a803535),
LL(0x741de8693af51d1d), LL(0xa7e05347ddb3e0e0), LL(0x7bd7f6acb321d7d7), LL(0x2fc25eed999cc2c2),
LL(0xb82e6d965c432e2e), LL(0x314b627a96294b4b), LL(0xdffea321e15dfefe), LL(0x41578216aed55757),
LL(0x5415a8412abd1515), LL(0xc1779fb6eee87777), LL(0xdc37a5eb6e923737), LL(0xb3e57b56d79ee5e5),
LL(0x469f8cd923139f9f), LL(0xe7f0d317fd23f0f0), LL(0x354a6a7f94204a4a), LL(0x4fda9e95a944dada),
LL(0x7d58fa25b0a25858), LL(0x03c906ca8fcfc9c9), LL(0xa429558d527c2929), LL(0x280a5022145a0a0a),
LL(0xfeb1e14f7f50b1b1), LL(0xbaa0691a5dc9a0a0), LL(0xb16b7fdad6146b6b), LL(0x2e855cab17d98585),
LL(0xcebd8173673cbdbd), LL(0x695dd234ba8f5d5d), LL(0x4010805020901010), LL(0xf7f4f303f507f4f4),
LL(0x0bcb16c08bddcbcb), LL(0xf83eedc67cd33e3e), LL(0x140528110a2d0505), LL(0x81671fe6ce786767),
LL(0xb7e47353d597e4e4), LL(0x9c2725bb4e022727), LL(0x1941325882734141), LL(0x168b2c9d0ba78b8b),
LL(0xa6a7510153f6a7a7), LL(0xe97dcf94fab27d7d), LL(0x6e95dcfb37499595), LL(0x47d88e9fad56d8d8),
LL(0xcbfb8b30eb70fbfb), LL(0x9fee2371c1cdeeee), LL(0xed7cc791f8bb7c7c), LL(0x856617e3cc716666),
LL(0x53dda68ea77bdddd), LL(0x5c17b84b2eaf1717), LL(0x014702468e454747), LL(0x429e84dc211a9e9e),
LL(0x0fca1ec589d4caca), LL(0xb42d75995a582d2d), LL(0xc6bf9179632ebfbf), LL(0x1c07381b0e3f0707),
LL(0x8ead012347acadad), LL(0x755aea2fb4b05a5a), LL(0x36836cb51bef8383), LL(0xcc3385ff66b63333),
LL(0x91633ff2c65c6363), LL(0x0802100a04120202), LL(0x92aa39384993aaaa), LL(0xd971afa8e2de7171),
LL(0x07c80ecf8dc6c8c8), LL(0x6419c87d32d11919), LL(0x39497270923b4949), LL(0x43d9869aaf5fd9d9),
LL(0xeff2c31df931f2f2), LL(0xabe34b48dba8e3e3), LL(0x715be22ab6b95b5b), LL(0x1a8834920dbc8888),
LL(0x529aa4c8293e9a9a), LL(0x98262dbe4c0b2626), LL(0xc8328dfa64bf3232), LL(0xfab0e94a7d59b0b0),
LL(0x83e91b6acff2e9e9), LL(0x3c0f78331e770f0f), LL(0x73d5e6a6b733d5d5), LL(0x3a8074ba1df48080),
LL(0xc2be997c6127bebe), LL(0x13cd26de87ebcdcd), LL(0xd034bde468893434), LL(0x3d487a7590324848),
LL(0xdbffab24e354ffff), LL(0xf57af78ff48d7a7a), LL(0x7a90f4ea3d649090), LL(0x615fc23ebe9d5f5f),
LL(0x80201da0403d2020), LL(0xbd6867d5d00f6868), LL(0x681ad07234ca1a1a), LL(0x82ae192c41b7aeae),
LL(0xeab4c95e757db4b4), LL(0x4d549a19a8ce5454), LL(0x7693ece53b7f9393), LL(0x88220daa442f2222),
LL(0x8d6407e9c8636464), LL(0xe3f1db12ff2af1f1), LL(0xd173bfa2e6cc7373), LL(0x4812905a24821212),
LL(0x1d403a5d807a4040), LL(0x2008402810480808), LL(0x2bc356e89b95c3c3), LL(0x97ec337bc5dfecec),
LL(0x4bdb9690ab4ddbdb), LL(0xbea1611f5fc0a1a1), LL(0x0e8d1c8307918d8d), LL(0xf43df5c97ac83d3d),
LL(0x6697ccf1335b9797), LL(0x0000000000000000), LL(0x1bcf36d483f9cfcf), LL(0xac2b4587566e2b2b),
LL(0xc57697b3ece17676), LL(0x328264b019e68282), LL(0x7fd6fea9b128d6d6), LL(0x6c1bd87736c31b1b),
LL(0xeeb5c15b7774b5b5), LL(0x86af112943beafaf), LL(0xb56a77dfd41d6a6a), LL(0x5d50ba0da0ea5050),
LL(0x0945124c8a574545), LL(0xebf3cb18fb38f3f3), LL(0xc0309df060ad3030), LL(0x9bef2b74c3c4efef),
LL(0xfc3fe5c37eda3f3f), LL(0x4955921caac75555), LL(0xb2a2791059dba2a2), LL(0x8fea0365c9e9eaea),
LL(0x89650fecca6a6565), LL(0xd2bab9686903baba), LL(0xbc2f65935e4a2f2f), LL(0x27c04ee79d8ec0c0),
LL(0x5fdebe81a160dede), LL(0x701ce06c38fc1c1c), LL(0xd3fdbb2ee746fdfd), LL(0x294d52649a1f4d4d),
LL(0x7292e4e039769292), LL(0xc9758fbceafa7575), LL(0x1806301e0c360606), LL(0x128a249809ae8a8a),
LL(0xf2b2f940794bb2b2), LL(0xbfe66359d185e6e6), LL(0x380e70361c7e0e0e), LL(0x7c1ff8633ee71f1f),
LL(0x956237f7c4556262), LL(0x77d4eea3b53ad4d4), LL(0x9aa829324d81a8a8), LL(0x6296c4f431529696),
LL(0xc3f99b3aef62f9f9), LL(0x33c566f697a3c5c5), LL(0x942535b14a102525), LL(0x7959f220b2ab5959),
LL(0x2a8454ae15d08484), LL(0xd572b7a7e4c57272), LL(0xe439d5dd72ec3939), LL(0x2d4c5a6198164c4c),
LL(0x655eca3bbc945e5e), LL(0xfd78e785f09f7878), LL(0xe038ddd870e53838), LL(0x0a8c148605988c8c),
LL(0x63d1c6b2bf17d1d1), LL(0xaea5410b57e4a5a5), LL(0xafe2434dd9a1e2e2), LL(0x99612ff8c24e6161),
LL(0xf6b3f1457b42b3b3), LL(0x842115a542342121), LL(0x4a9c94d625089c9c), LL(0x781ef0663cee1e1e),
LL(0x1143225286614343), LL(0x3bc776fc93b1c7c7), LL(0xd7fcb32be54ffcfc), LL(0x1004201408240404),
LL(0x5951b208a2e35151), LL(0x5e99bcc72f259999), LL(0xa96d4fc4da226d6d), LL(0x340d68391a650d0d),
LL(0xcffa8335e979fafa), LL(0x5bdfb684a369dfdf), LL(0xe57ed79bfca97e7e), LL(0x90243db448192424),
LL(0xec3bc5d776fe3b3b), LL(0x96ab313d4b9aabab), LL(0x1fce3ed181f0cece), LL(0x4411885522991111),
LL(0x068f0c8903838f8f), LL(0x254e4a6b9c044e4e), LL(0xe6b7d1517366b7b7), LL(0x8beb0b60cbe0ebeb),
LL(0xf03cfdcc78c13c3c), LL(0x3e817cbf1ffd8181), LL(0x6a94d4fe35409494), LL(0xfbf7eb0cf31cf7f7),
LL(0xdeb9a1676f18b9b9), LL(0x4c13985f268b1313), LL(0xb02c7d9c58512c2c), LL(0x6bd3d6b8bb05d3d3),
LL(0xbbe76b5cd38ce7e7), LL(0xa56e57cbdc396e6e), LL(0x37c46ef395aac4c4), LL(0x0c03180f061b0303),
LL(0x45568a13acdc5656), LL(0x0d441a49885e4444), LL(0xe17fdf9efea07f7f), LL(0x9ea921374f88a9a9),
LL(0xa82a4d8254672a2a), LL(0xd6bbb16d6b0abbbb), LL(0x23c146e29f87c1c1), LL(0x5153a202a6f15353),
LL(0x57dcae8ba572dcdc), LL(0x2c0b582716530b0b), LL(0x4e9d9cd327019d9d), LL(0xad6c47c1d82b6c6c),
LL(0xc43195f562a43131), LL(0xcd7487b9e8f37474), LL(0xfff6e309f115f6f6), LL(0x05460a438c4c4646),
LL(0x8aac092645a5acac), LL(0x1e893c970fb58989), LL(0x5014a04428b41414), LL(0xa3e15b42dfbae1e1),
LL(0x5816b04e2ca61616), LL(0xe83acdd274f73a3a), LL(0xb9696fd0d2066969), LL(0x2409482d12410909),
LL(0xdd70a7ade0d77070), LL(0xe2b6d954716fb6b6), LL(0x67d0ceb7bd1ed0d0), LL(0x93ed3b7ec7d6eded),
LL(0x17cc2edb85e2cccc), LL(0x15422a5784684242), LL(0x5a98b4c22d2c9898), LL(0xaaa4490e55eda4a4),
LL(0xa0285d8850752828), LL(0x6d5cda31b8865c5c), LL(0xc7f8933fed6bf8f8), LL(0x228644a411c28686),
LL(0x186018c07830d818), LL(0x238c2305af462623), LL(0xc63fc67ef991b8c6), LL(0xe887e8136fcdfbe8),
LL(0x8726874ca113cb87), LL(0xb8dab8a9626d11b8), LL(0x0104010805020901), LL(0x4f214f426e9e0d4f),
LL(0x36d836adee6c9b36), LL(0xa6a2a6590451ffa6), LL(0xd26fd2debdb90cd2), LL(0xf5f3f5fb06f70ef5),
LL(0x79f979ef80f29679), LL(0x6fa16f5fcede306f), LL(0x917e91fcef3f6d91), LL(0x525552aa07a4f852),
LL(0x609d6027fdc04760), LL(0xbccabc89766535bc), LL(0x9b569baccd2b379b), LL(0x8e028e048c018a8e),
LL(0xa3b6a371155bd2a3), LL(0x0c300c603c186c0c), LL(0x7bf17bff8af6847b), LL(0x35d435b5e16a8035),
LL(0x1d741de8693af51d), LL(0xe0a7e05347ddb3e0), LL(0xd77bd7f6acb321d7), LL(0xc22fc25eed999cc2),
LL(0x2eb82e6d965c432e), LL(0x4b314b627a96294b), LL(0xfedffea321e15dfe), LL(0x5741578216aed557),
LL(0x155415a8412abd15), LL(0x77c1779fb6eee877), LL(0x37dc37a5eb6e9237), LL(0xe5b3e57b56d79ee5),
LL(0x9f469f8cd923139f), LL(0xf0e7f0d317fd23f0), LL(0x4a354a6a7f94204a), LL(0xda4fda9e95a944da),
LL(0x587d58fa25b0a258), LL(0xc903c906ca8fcfc9), LL(0x29a429558d527c29), LL(0x0a280a5022145a0a),
LL(0xb1feb1e14f7f50b1), LL(0xa0baa0691a5dc9a0), LL(0x6bb16b7fdad6146b), LL(0x852e855cab17d985),
LL(0xbdcebd8173673cbd), LL(0x5d695dd234ba8f5d), LL(0x1040108050209010), LL(0xf4f7f4f303f507f4),
LL(0xcb0bcb16c08bddcb), LL(0x3ef83eedc67cd33e), LL(0x05140528110a2d05), LL(0x6781671fe6ce7867),
LL(0xe4b7e47353d597e4), LL(0x279c2725bb4e0227), LL(0x4119413258827341), LL(0x8b168b2c9d0ba78b),
LL(0xa7a6a7510153f6a7), LL(0x7de97dcf94fab27d), LL(0x956e95dcfb374995), LL(0xd847d88e9fad56d8),
LL(0xfbcbfb8b30eb70fb), LL(0xee9fee2371c1cdee), LL(0x7ced7cc791f8bb7c), LL(0x66856617e3cc7166),
LL(0xdd53dda68ea77bdd), LL(0x175c17b84b2eaf17), LL(0x47014702468e4547), LL(0x9e429e84dc211a9e),
LL(0xca0fca1ec589d4ca), LL(0x2db42d75995a582d), LL(0xbfc6bf9179632ebf), LL(0x071c07381b0e3f07),
LL(0xad8ead012347acad), LL(0x5a755aea2fb4b05a), LL(0x8336836cb51bef83), LL(0x33cc3385ff66b633),
LL(0x6391633ff2c65c63), LL(0x020802100a041202), LL(0xaa92aa39384993aa), LL(0x71d971afa8e2de71),
LL(0xc807c80ecf8dc6c8), LL(0x196419c87d32d119), LL(0x4939497270923b49), LL(0xd943d9869aaf5fd9),
LL(0xf2eff2c31df931f2), LL(0xe3abe34b48dba8e3), LL(0x5b715be22ab6b95b), LL(0x881a8834920dbc88),
LL(0x9a529aa4c8293e9a), LL(0x2698262dbe4c0b26), LL(0x32c8328dfa64bf32), LL(0xb0fab0e94a7d59b0),
LL(0xe983e91b6acff2e9), LL(0x0f3c0f78331e770f), LL(0xd573d5e6a6b733d5), LL(0x803a8074ba1df480),
LL(0xbec2be997c6127be), LL(0xcd13cd26de87ebcd), LL(0x34d034bde4688934), LL(0x483d487a75903248),
LL(0xffdbffab24e354ff), LL(0x7af57af78ff48d7a), LL(0x907a90f4ea3d6490), LL(0x5f615fc23ebe9d5f),
LL(0x2080201da0403d20), LL(0x68bd6867d5d00f68), LL(0x1a681ad07234ca1a), LL(0xae82ae192c41b7ae),
LL(0xb4eab4c95e757db4), LL(0x544d549a19a8ce54), LL(0x937693ece53b7f93), LL(0x2288220daa442f22),
LL(0x648d6407e9c86364), LL(0xf1e3f1db12ff2af1), LL(0x73d173bfa2e6cc73), LL(0x124812905a248212),
LL(0x401d403a5d807a40), LL(0x0820084028104808), LL(0xc32bc356e89b95c3), LL(0xec97ec337bc5dfec),
LL(0xdb4bdb9690ab4ddb), LL(0xa1bea1611f5fc0a1), LL(0x8d0e8d1c8307918d), LL(0x3df43df5c97ac83d),
LL(0x976697ccf1335b97), LL(0x0000000000000000), LL(0xcf1bcf36d483f9cf), LL(0x2bac2b4587566e2b),
LL(0x76c57697b3ece176), LL(0x82328264b019e682), LL(0xd67fd6fea9b128d6), LL(0x1b6c1bd87736c31b),
LL(0xb5eeb5c15b7774b5), LL(0xaf86af112943beaf), LL(0x6ab56a77dfd41d6a), LL(0x505d50ba0da0ea50),
LL(0x450945124c8a5745), LL(0xf3ebf3cb18fb38f3), LL(0x30c0309df060ad30), LL(0xef9bef2b74c3c4ef),
LL(0x3ffc3fe5c37eda3f), LL(0x554955921caac755), LL(0xa2b2a2791059dba2), LL(0xea8fea0365c9e9ea),
LL(0x6589650fecca6a65), LL(0xbad2bab9686903ba), LL(0x2fbc2f65935e4a2f), LL(0xc027c04ee79d8ec0),
LL(0xde5fdebe81a160de), LL(0x1c701ce06c38fc1c), LL(0xfdd3fdbb2ee746fd), LL(0x4d294d52649a1f4d),
LL(0x927292e4e0397692), LL(0x75c9758fbceafa75), LL(0x061806301e0c3606), LL(0x8a128a249809ae8a),
LL(0xb2f2b2f940794bb2), LL(0xe6bfe66359d185e6), LL(0x0e380e70361c7e0e), LL(0x1f7c1ff8633ee71f),
LL(0x62956237f7c45562), LL(0xd477d4eea3b53ad4), LL(0xa89aa829324d81a8), LL(0x966296c4f4315296),
LL(0xf9c3f99b3aef62f9), LL(0xc533c566f697a3c5), LL(0x25942535b14a1025), LL(0x597959f220b2ab59),
LL(0x842a8454ae15d084), LL(0x72d572b7a7e4c572), LL(0x39e439d5dd72ec39), LL(0x4c2d4c5a6198164c),
LL(0x5e655eca3bbc945e), LL(0x78fd78e785f09f78), LL(0x38e038ddd870e538), LL(0x8c0a8c148605988c),
LL(0xd163d1c6b2bf17d1), LL(0xa5aea5410b57e4a5), LL(0xe2afe2434dd9a1e2), LL(0x6199612ff8c24e61),
LL(0xb3f6b3f1457b42b3), LL(0x21842115a5423421), LL(0x9c4a9c94d625089c), LL(0x1e781ef0663cee1e),
LL(0x4311432252866143), LL(0xc73bc776fc93b1c7), LL(0xfcd7fcb32be54ffc), LL(0x0410042014082404),
LL(0x515951b208a2e351), LL(0x995e99bcc72f2599), LL(0x6da96d4fc4da226d), LL(0x0d340d68391a650d),
LL(0xfacffa8335e979fa), LL(0xdf5bdfb684a369df), LL(0x7ee57ed79bfca97e), LL(0x2490243db4481924),
LL(0x3bec3bc5d776fe3b), LL(0xab96ab313d4b9aab), LL(0xce1fce3ed181f0ce), LL(0x1144118855229911),
LL(0x8f068f0c8903838f), LL(0x4e254e4a6b9c044e), LL(0xb7e6b7d1517366b7), LL(0xeb8beb0b60cbe0eb),
LL(0x3cf03cfdcc78c13c), LL(0x813e817cbf1ffd81), LL(0x946a94d4fe354094), LL(0xf7fbf7eb0cf31cf7),
LL(0xb9deb9a1676f18b9), LL(0x134c13985f268b13), LL(0x2cb02c7d9c58512c), LL(0xd36bd3d6b8bb05d3),
LL(0xe7bbe76b5cd38ce7), LL(0x6ea56e57cbdc396e), LL(0xc437c46ef395aac4), LL(0x030c03180f061b03),
LL(0x5645568a13acdc56), LL(0x440d441a49885e44), LL(0x7fe17fdf9efea07f), LL(0xa99ea921374f88a9),
LL(0x2aa82a4d8254672a), LL(0xbbd6bbb16d6b0abb), LL(0xc123c146e29f87c1), LL(0x535153a202a6f153),
LL(0xdc57dcae8ba572dc), LL(0x0b2c0b582716530b), LL(0x9d4e9d9cd327019d), LL(0x6cad6c47c1d82b6c),
LL(0x31c43195f562a431), LL(0x74cd7487b9e8f374), LL(0xf6fff6e309f115f6), LL(0x4605460a438c4c46),
LL(0xac8aac092645a5ac), LL(0x891e893c970fb589), LL(0x145014a04428b414), LL(0xe1a3e15b42dfbae1),
LL(0x165816b04e2ca616), LL(0x3ae83acdd274f73a), LL(0x69b9696fd0d20669), LL(0x092409482d124109),
LL(0x70dd70a7ade0d770), LL(0xb6e2b6d954716fb6), LL(0xd067d0ceb7bd1ed0), LL(0xed93ed3b7ec7d6ed),
LL(0xcc17cc2edb85e2cc), LL(0x4215422a57846842), LL(0x985a98b4c22d2c98), LL(0xa4aaa4490e55eda4),
LL(0x28a0285d88507528), LL(0x5c6d5cda31b8865c), LL(0xf8c7f8933fed6bf8), LL(0x86228644a411c286),
LL(0x1823c6e887b8014f),
LL(0x36a6d2f5796f9152),
LL(0x60bc9b8ea30c7b35),
LL(0x1de0d7c22e4bfe57),
LL(0x157737e59ff04ada),
LL(0x58c9290ab1a06b85),
LL(0xbd5d10f4cb3e0567),
LL(0xe427418ba77d95d8),
LL(0xfbee7c66dd17479e),
LL(0xca2dbf07ad5a8333)
};
// Whirlpool basic transformation. Transforms state based on block.
void WhirlpoolTransform(uint64 *digest, const uint64 *block)
{
#if CRYPTOPP_BOOL_SSE2_ASM_AVAILABLE
#if defined(__GNUC__) && (CRYPTOPP_GCC_VERSION <= 40407)
/* workaround for gcc 4.4.7 bug under CentOS which causes crash
* in inline assembly.
* This dummy check that is always false since "block" is aligned.
*/
uint64 lb = (uint64) block;
if (lb % 16)
{
TC_THROW_FATAL_EXCEPTION;
}
#endif
#endif
#if CRYPTOPP_BOOL_SSE2_ASM_AVAILABLE
if (HasISSE())
{
#ifdef __GNUC__
#if CRYPTOPP_BOOL_X64
CRYPTOPP_ALIGN_DATA(16) uint64 workspace[16];
#endif
__asm__ __volatile__
(
INTEL_NOPREFIX
AS_PUSH_IF86( bx)
AS2( mov AS_REG_6, WORD_REG(ax))
#else
#if _MSC_VER < 1300
AS_PUSH_IF86( bx)
#endif
AS2( lea AS_REG_6, [Whirlpool_C])
AS2( mov WORD_REG(cx), digest)
AS2( mov WORD_REG(dx), block)
#endif
#if CRYPTOPP_BOOL_X86 || CRYPTOPP_BOOL_X32
AS2( mov eax, esp)
AS2( and esp, -16)
AS2( sub esp, 16*8)
AS_PUSH_IF86( ax)
#if CRYPTOPP_BOOL_X86
#define SSE2_workspace esp+WORD_SZ
#elif CRYPTOPP_BOOL_X32
#define SSE2_workspace esp+(WORD_SZ*2)
#endif
#else
#define SSE2_workspace %3
#endif
AS2( xor esi, esi)
ASL(0)
AS2( movq mm0, [WORD_REG(cx)+8*WORD_REG(si)])
AS2( movq [SSE2_workspace+8*WORD_REG(si)], mm0) // k
AS2( pxor mm0, [WORD_REG(dx)+8*WORD_REG(si)])
AS2( movq [SSE2_workspace+64+8*WORD_REG(si)], mm0) // s
AS2( movq [WORD_REG(cx)+8*WORD_REG(si)], mm0)
AS1( inc WORD_REG(si))
AS2( cmp WORD_REG(si), 8)
ASJ( jne, 0, b)
AS2( xor esi, esi)
ASL(1)
#define KSL0(a, b) AS2(movq mm##a, b)
#define KSL1(a, b) AS2(pxor mm##a, b)
#define KSL(op, i, a, b, c, d) \
AS2(mov eax, [SSE2_workspace+8*i])\
AS2(movzx edi, al)\
KSL##op(a, [AS_REG_6+3*2048+8*WORD_REG(di)])\
AS2(movzx edi, ah)\
KSL##op(b, [AS_REG_6+2*2048+8*WORD_REG(di)])\
AS2(shr eax, 16)\
AS2(movzx edi, al)\
AS2(shr eax, 8)\
KSL##op(c, [AS_REG_6+1*2048+8*WORD_REG(di)])\
KSL##op(d, [AS_REG_6+0*2048+8*WORD_REG(ax)])
#define KSH0(a, b) \
ASS(pshufw mm##a, mm##a, 1, 0, 3, 2)\
AS2(pxor mm##a, b)
#define KSH1(a, b) \
AS2(pxor mm##a, b)
#define KSH2(a, b) \
AS2(pxor mm##a, b)\
AS2(movq [SSE2_workspace+8*a], mm##a)
#define KSH(op, i, a, b, c, d) \
AS2(mov eax, [SSE2_workspace+8*((i+4)-8*((i+4)/8))+4])\
AS2(movzx edi, al)\
KSH##op(a, [AS_REG_6+3*2048+8*WORD_REG(di)])\
AS2(movzx edi, ah)\
KSH##op(b, [AS_REG_6+2*2048+8*WORD_REG(di)])\
AS2(shr eax, 16)\
AS2(movzx edi, al)\
AS2(shr eax, 8)\
KSH##op(c, [AS_REG_6+1*2048+8*WORD_REG(di)])\
KSH##op(d, [AS_REG_6+0*2048+8*WORD_REG(ax)])
#define TSL(op, i, a, b, c, d) \
AS2(mov eax, [SSE2_workspace+64+8*i])\
AS2(movzx edi, al)\
KSL##op(a, [AS_REG_6+3*2048+8*WORD_REG(di)])\
AS2(movzx edi, ah)\
KSL##op(b, [AS_REG_6+2*2048+8*WORD_REG(di)])\
AS2(shr eax, 16)\
AS2(movzx edi, al)\
AS2(shr eax, 8)\
KSL##op(c, [AS_REG_6+1*2048+8*WORD_REG(di)])\
KSL##op(d, [AS_REG_6+0*2048+8*WORD_REG(ax)])
#define TSH0(a, b) \
ASS(pshufw mm##a, mm##a, 1, 0, 3, 2)\
AS2(pxor mm##a, [SSE2_workspace+8*a])\
AS2(pxor mm##a, b)
#define TSH1(a, b) \
AS2(pxor mm##a, b)
#define TSH2(a, b) \
AS2(pxor mm##a, b)\
AS2(movq [SSE2_workspace+64+8*a], mm##a)
#define TSH3(a, b) \
AS2(pxor mm##a, b)\
AS2(pxor mm##a, [WORD_REG(cx)+8*a])\
AS2(movq [WORD_REG(cx)+8*a], mm##a)
#define TSH(op, i, a, b, c, d) \
AS2(mov eax, [SSE2_workspace+64+8*((i+4)-8*((i+4)/8))+4])\
AS2(movzx edi, al)\
TSH##op(a, [AS_REG_6+3*2048+8*WORD_REG(di)])\
AS2(movzx edi, ah)\
TSH##op(b, [AS_REG_6+2*2048+8*WORD_REG(di)])\
AS2(shr eax, 16)\
AS2(movzx edi, al)\
AS2(shr eax, 8)\
TSH##op(c, [AS_REG_6+1*2048+8*WORD_REG(di)])\
TSH##op(d, [AS_REG_6+0*2048+8*WORD_REG(ax)])
KSL(0, 4, 3, 2, 1, 0)
KSL(0, 0, 7, 6, 5, 4)
KSL(1, 1, 0, 7, 6, 5)
KSL(1, 2, 1, 0, 7, 6)
KSL(1, 3, 2, 1, 0, 7)
KSL(1, 5, 4, 3, 2, 1)
KSL(1, 6, 5, 4, 3, 2)
KSL(1, 7, 6, 5, 4, 3)
KSH(0, 0, 7, 6, 5, 4)
KSH(0, 4, 3, 2, 1, 0)
KSH(1, 1, 0, 7, 6, 5)
KSH(1, 2, 1, 0, 7, 6)
KSH(1, 5, 4, 3, 2, 1)
KSH(1, 6, 5, 4, 3, 2)
KSH(2, 3, 2, 1, 0, 7)
KSH(2, 7, 6, 5, 4, 3)
AS2( pxor mm0, [AS_REG_6 + 16*1024 + WORD_REG(si)*8])
AS2( movq [SSE2_workspace], mm0)
TSL(0, 4, 3, 2, 1, 0)
TSL(0, 0, 7, 6, 5, 4)
TSL(1, 1, 0, 7, 6, 5)
TSL(1, 2, 1, 0, 7, 6)
TSL(1, 3, 2, 1, 0, 7)
TSL(1, 5, 4, 3, 2, 1)
TSL(1, 6, 5, 4, 3, 2)
TSL(1, 7, 6, 5, 4, 3)
TSH(0, 0, 7, 6, 5, 4)
TSH(0, 4, 3, 2, 1, 0)
TSH(1, 1, 0, 7, 6, 5)
TSH(1, 2, 1, 0, 7, 6)
TSH(1, 5, 4, 3, 2, 1)
TSH(1, 6, 5, 4, 3, 2)
AS1( inc WORD_REG(si))
AS2( cmp WORD_REG(si), 10)
ASJ( je, 2, f)
TSH(2, 3, 2, 1, 0, 7)
TSH(2, 7, 6, 5, 4, 3)
ASJ( jmp, 1, b)
ASL(2)
TSH(3, 3, 2, 1, 0, 7)
TSH(3, 7, 6, 5, 4, 3)
#undef KSL
#undef KSH
#undef TSL
#undef TSH
AS_POP_IF86( sp)
AS1( emms)
#if defined(__GNUC__) || (defined(_MSC_VER) && _MSC_VER < 1300)
AS_POP_IF86( bx)
#endif
#ifdef __GNUC__
ATT_PREFIX
:
: "a" (Whirlpool_C), "c" (digest), "d" (block)
#if CRYPTOPP_BOOL_X64
, "r" (workspace)
#endif
: "%esi", "%edi", "memory", "cc"
#if CRYPTOPP_BOOL_X64
, "%r9"
#endif
);
#endif
}
else
#endif // #ifdef CRYPTOPP_X86_ASM_AVAILABLE
{
union { unsigned char ch[64]; unsigned long long ll[8]; } K, state;
unsigned long long L[8];
int r, i;
i = 0; do state.ll[i] = (K.ll[i] = digest[i]) ^ (block)[i]; while (++i < 8);
r = 0; do {
L[0] = Whirlpool_C[0*256 + K.ch[0 * 8 + 7]] ^ Whirlpool_C[1*256 + K.ch[7 * 8 + 6]] ^ Whirlpool_C[2*256 + K.ch[6 * 8 + 5]] ^ Whirlpool_C[3*256 + K.ch[5 * 8 + 4]] ^ Whirlpool_C[4*256 + K.ch[4 * 8 + 3]] ^ Whirlpool_C[5*256 + K.ch[3 * 8 + 2]] ^ Whirlpool_C[6*256 + K.ch[2 * 8 + 1]] ^ Whirlpool_C[7*256 + K.ch[1 * 8 + 0]] ^ Whirlpool_C[2048 + r];
L[1] = Whirlpool_C[0*256 + K.ch[1 * 8 + 7]] ^ Whirlpool_C[1*256 + K.ch[0 * 8 + 6]] ^ Whirlpool_C[2*256 + K.ch[7 * 8 + 5]] ^ Whirlpool_C[3*256 + K.ch[6 * 8 + 4]] ^ Whirlpool_C[4*256 + K.ch[5 * 8 + 3]] ^ Whirlpool_C[5*256 + K.ch[4 * 8 + 2]] ^ Whirlpool_C[6*256 + K.ch[3 * 8 + 1]] ^ Whirlpool_C[7*256 + K.ch[2 * 8 + 0]];
L[2] = Whirlpool_C[0*256 + K.ch[2 * 8 + 7]] ^ Whirlpool_C[1*256 + K.ch[1 * 8 + 6]] ^ Whirlpool_C[2*256 + K.ch[0 * 8 + 5]] ^ Whirlpool_C[3*256 + K.ch[7 * 8 + 4]] ^ Whirlpool_C[4*256 + K.ch[6 * 8 + 3]] ^ Whirlpool_C[5*256 + K.ch[5 * 8 + 2]] ^ Whirlpool_C[6*256 + K.ch[4 * 8 + 1]] ^ Whirlpool_C[7*256 + K.ch[3 * 8 + 0]];
L[3] = Whirlpool_C[0*256 + K.ch[3 * 8 + 7]] ^ Whirlpool_C[1*256 + K.ch[2 * 8 + 6]] ^ Whirlpool_C[2*256 + K.ch[1 * 8 + 5]] ^ Whirlpool_C[3*256 + K.ch[0 * 8 + 4]] ^ Whirlpool_C[4*256 + K.ch[7 * 8 + 3]] ^ Whirlpool_C[5*256 + K.ch[6 * 8 + 2]] ^ Whirlpool_C[6*256 + K.ch[5 * 8 + 1]] ^ Whirlpool_C[7*256 + K.ch[4 * 8 + 0]];
L[4] = Whirlpool_C[0*256 + K.ch[4 * 8 + 7]] ^ Whirlpool_C[1*256 + K.ch[3 * 8 + 6]] ^ Whirlpool_C[2*256 + K.ch[2 * 8 + 5]] ^ Whirlpool_C[3*256 + K.ch[1 * 8 + 4]] ^ Whirlpool_C[4*256 + K.ch[0 * 8 + 3]] ^ Whirlpool_C[5*256 + K.ch[7 * 8 + 2]] ^ Whirlpool_C[6*256 + K.ch[6 * 8 + 1]] ^ Whirlpool_C[7*256 + K.ch[5 * 8 + 0]];
L[5] = Whirlpool_C[0*256 + K.ch[5 * 8 + 7]] ^ Whirlpool_C[1*256 + K.ch[4 * 8 + 6]] ^ Whirlpool_C[2*256 + K.ch[3 * 8 + 5]] ^ Whirlpool_C[3*256 + K.ch[2 * 8 + 4]] ^ Whirlpool_C[4*256 + K.ch[1 * 8 + 3]] ^ Whirlpool_C[5*256 + K.ch[0 * 8 + 2]] ^ Whirlpool_C[6*256 + K.ch[7 * 8 + 1]] ^ Whirlpool_C[7*256 + K.ch[6 * 8 + 0]];
L[6] = Whirlpool_C[0*256 + K.ch[6 * 8 + 7]] ^ Whirlpool_C[1*256 + K.ch[5 * 8 + 6]] ^ Whirlpool_C[2*256 + K.ch[4 * 8 + 5]] ^ Whirlpool_C[3*256 + K.ch[3 * 8 + 4]] ^ Whirlpool_C[4*256 + K.ch[2 * 8 + 3]] ^ Whirlpool_C[5*256 + K.ch[1 * 8 + 2]] ^ Whirlpool_C[6*256 + K.ch[0 * 8 + 1]] ^ Whirlpool_C[7*256 + K.ch[7 * 8 + 0]];
L[7] = Whirlpool_C[0*256 + K.ch[7 * 8 + 7]] ^ Whirlpool_C[1*256 + K.ch[6 * 8 + 6]] ^ Whirlpool_C[2*256 + K.ch[5 * 8 + 5]] ^ Whirlpool_C[3*256 + K.ch[4 * 8 + 4]] ^ Whirlpool_C[4*256 + K.ch[3 * 8 + 3]] ^ Whirlpool_C[5*256 + K.ch[2 * 8 + 2]] ^ Whirlpool_C[6*256 + K.ch[1 * 8 + 1]] ^ Whirlpool_C[7*256 + K.ch[0 * 8 + 0]];
L[0] = (K.ll[0] = L[0]) ^ Whirlpool_C[0*256 + state.ch[0 * 8 + 7]] ^ Whirlpool_C[1*256 + state.ch[7 * 8 + 6]] ^ Whirlpool_C[2*256 + state.ch[6 * 8 + 5]] ^ Whirlpool_C[3*256 + state.ch[5 * 8 + 4]] ^ Whirlpool_C[4*256 + state.ch[4 * 8 + 3]] ^ Whirlpool_C[5*256 + state.ch[3 * 8 + 2]] ^ Whirlpool_C[6*256 + state.ch[2 * 8 + 1]] ^ Whirlpool_C[7*256 + state.ch[1 * 8 + 0]];
L[1] = (K.ll[1] = L[1]) ^ Whirlpool_C[0*256 + state.ch[1 * 8 + 7]] ^ Whirlpool_C[1*256 + state.ch[0 * 8 + 6]] ^ Whirlpool_C[2*256 + state.ch[7 * 8 + 5]] ^ Whirlpool_C[3*256 + state.ch[6 * 8 + 4]] ^ Whirlpool_C[4*256 + state.ch[5 * 8 + 3]] ^ Whirlpool_C[5*256 + state.ch[4 * 8 + 2]] ^ Whirlpool_C[6*256 + state.ch[3 * 8 + 1]] ^ Whirlpool_C[7*256 + state.ch[2 * 8 + 0]];
L[2] = (K.ll[2] = L[2]) ^ Whirlpool_C[0*256 + state.ch[2 * 8 + 7]] ^ Whirlpool_C[1*256 + state.ch[1 * 8 + 6]] ^ Whirlpool_C[2*256 + state.ch[0 * 8 + 5]] ^ Whirlpool_C[3*256 + state.ch[7 * 8 + 4]] ^ Whirlpool_C[4*256 + state.ch[6 * 8 + 3]] ^ Whirlpool_C[5*256 + state.ch[5 * 8 + 2]] ^ Whirlpool_C[6*256 + state.ch[4 * 8 + 1]] ^ Whirlpool_C[7*256 + state.ch[3 * 8 + 0]];
L[3] = (K.ll[3] = L[3]) ^ Whirlpool_C[0*256 + state.ch[3 * 8 + 7]] ^ Whirlpool_C[1*256 + state.ch[2 * 8 + 6]] ^ Whirlpool_C[2*256 + state.ch[1 * 8 + 5]] ^ Whirlpool_C[3*256 + state.ch[0 * 8 + 4]] ^ Whirlpool_C[4*256 + state.ch[7 * 8 + 3]] ^ Whirlpool_C[5*256 + state.ch[6 * 8 + 2]] ^ Whirlpool_C[6*256 + state.ch[5 * 8 + 1]] ^ Whirlpool_C[7*256 + state.ch[4 * 8 + 0]];
L[4] = (K.ll[4] = L[4]) ^ Whirlpool_C[0*256 + state.ch[4 * 8 + 7]] ^ Whirlpool_C[1*256 + state.ch[3 * 8 + 6]] ^ Whirlpool_C[2*256 + state.ch[2 * 8 + 5]] ^ Whirlpool_C[3*256 + state.ch[1 * 8 + 4]] ^ Whirlpool_C[4*256 + state.ch[0 * 8 + 3]] ^ Whirlpool_C[5*256 + state.ch[7 * 8 + 2]] ^ Whirlpool_C[6*256 + state.ch[6 * 8 + 1]] ^ Whirlpool_C[7*256 + state.ch[5 * 8 + 0]];
L[5] = (K.ll[5] = L[5]) ^ Whirlpool_C[0*256 + state.ch[5 * 8 + 7]] ^ Whirlpool_C[1*256 + state.ch[4 * 8 + 6]] ^ Whirlpool_C[2*256 + state.ch[3 * 8 + 5]] ^ Whirlpool_C[3*256 + state.ch[2 * 8 + 4]] ^ Whirlpool_C[4*256 + state.ch[1 * 8 + 3]] ^ Whirlpool_C[5*256 + state.ch[0 * 8 + 2]] ^ Whirlpool_C[6*256 + state.ch[7 * 8 + 1]] ^ Whirlpool_C[7*256 + state.ch[6 * 8 + 0]];
L[6] = (K.ll[6] = L[6]) ^ Whirlpool_C[0*256 + state.ch[6 * 8 + 7]] ^ Whirlpool_C[1*256 + state.ch[5 * 8 + 6]] ^ Whirlpool_C[2*256 + state.ch[4 * 8 + 5]] ^ Whirlpool_C[3*256 + state.ch[3 * 8 + 4]] ^ Whirlpool_C[4*256 + state.ch[2 * 8 + 3]] ^ Whirlpool_C[5*256 + state.ch[1 * 8 + 2]] ^ Whirlpool_C[6*256 + state.ch[0 * 8 + 1]] ^ Whirlpool_C[7*256 + state.ch[7 * 8 + 0]];
L[7] = (K.ll[7] = L[7]) ^ Whirlpool_C[0*256 + state.ch[7 * 8 + 7]] ^ Whirlpool_C[1*256 + state.ch[6 * 8 + 6]] ^ Whirlpool_C[2*256 + state.ch[5 * 8 + 5]] ^ Whirlpool_C[3*256 + state.ch[4 * 8 + 4]] ^ Whirlpool_C[4*256 + state.ch[3 * 8 + 3]] ^ Whirlpool_C[5*256 + state.ch[2 * 8 + 2]] ^ Whirlpool_C[6*256 + state.ch[1 * 8 + 1]] ^ Whirlpool_C[7*256 + state.ch[0 * 8 + 0]];
memcpy(state.ll, L, sizeof(L));
} while (++r < 10);
i = 0; do digest[i] ^= L[i] ^ (block)[i]; while (++i < 8);
}
}
static uint64 HashMultipleBlocks(WHIRLPOOL_CTX * const ctx, const uint64 *input, uint64 length)
{
uint64* dataBuf = ctx->data;
do
{
#if BYTE_ORDER == BIG_ENDIAN
WhirlpoolTransform(ctx->state, input);
#else
CorrectEndianess(dataBuf, input, 64);
WhirlpoolTransform(ctx->state, dataBuf);
#endif
input += 8;
length -= 64;
}
while (length >= 64);
return length;
}
/**
* Initialize the hashing state.
*/
void WHIRLPOOL_init(WHIRLPOOL_CTX * const ctx) {
ctx->countHi = 0;
ctx->countLo = 0;
memset (ctx->data, 0, 8 * sizeof (uint64));
memset (ctx->state, 0, 8 * sizeof (uint64));
}
/**
* Delivers input data to the hashing algorithm.
*
* @param source plaintext data to hash.
* @param sourceBits how many bits of plaintext to process.
*
* This method maintains the invariant: bufferBits < DIGESTBITS
*/
void WHIRLPOOL_add(const unsigned char * input,
unsigned __int32 sourceBytes,
WHIRLPOOL_CTX * const ctx)
{
uint64 num, oldCountLo = ctx->countLo, oldCountHi = ctx->countHi;
uint64 len = sourceBytes;
if ((ctx->countLo = oldCountLo + (uint64)len) < oldCountLo)
ctx->countHi++; // carry from low to high
if (ctx->countHi < oldCountHi)
return;
else
{
uint64* dataBuf = ctx->data;
byte* data = (byte *)dataBuf;
num = oldCountLo & 63;
if (num != 0) // process left over data
{
if (num+len >= 64)
{
memcpy(data+num, input, (size_t) (64-num));
HashMultipleBlocks(ctx, dataBuf, 64);
input += (64-num);
len -= (64-num);
num = 0;
// drop through and do the rest
}
else
{
memcpy(data+num, input, (size_t) len);
return;
}
}
// now process the input data in blocks of 64 bytes and save the leftovers to ctx->data
if (len >= 64)
{
if (input == data)
{
HashMultipleBlocks(ctx, dataBuf, 64);
return;
}
else if (IsAligned16(input))
{
uint64 leftOver = HashMultipleBlocks(ctx, (uint64 *)input, len);
input += (len - leftOver);
len = leftOver;
}
else
do
{ // copy input first if it's not aligned correctly
memcpy(data, input, 64);
HashMultipleBlocks(ctx, dataBuf, 64);
input+=64;
len-=64;
} while (len >= 64);
}
if (len && data != input)
memcpy(data, input, (size_t) len);
}
}
/**
* Get the hash value from the hashing state.
*
* This method uses the invariant: bufferBits < DIGESTBITS
*/
void WHIRLPOOL_finalize(WHIRLPOOL_CTX * const ctx,
unsigned char * result)
{
unsigned int num = ctx->countLo & 63;
uint64* dataBuf = ctx->data;
uint64* stateBuf = ctx->state;
byte* data = (byte *)dataBuf;
data[num++] = 0x80;
if (num <= 32)
memset(data+num, 0, 32-num);
else
{
memset(data+num, 0, 64-num);
HashMultipleBlocks(ctx, dataBuf, 64);
memset(data, 0, 32);
}
#if BYTE_ORDER == LITTLE_ENDIAN
CorrectEndianess(dataBuf, dataBuf, 32);
#endif
dataBuf[4] = 0;
dataBuf[5] = 0;
dataBuf[6] = (ctx->countLo >> (8*sizeof(uint64)-3)) + (ctx->countHi << 3);
dataBuf[7] = ctx->countLo << 3;
WhirlpoolTransform(stateBuf, dataBuf);
#if BYTE_ORDER == LITTLE_ENDIAN
CorrectEndianess(stateBuf, stateBuf, 64);
#endif
memcpy(result, stateBuf, 64);
}
|