/* Copyright (C) 2007-2021 Free Software Foundation, Inc.

This file is part of GCC.

GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 3, or (at your option) any later
version.

GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
for more details.

Under Section 7 of GPL version 3, you are granted additional
permissions described in the GCC Runtime Library Exception, version
3.1, as published by the Free Software Foundation.

You should have received a copy of the GNU General Public License and
a copy of the GCC Runtime Library Exception along with this program;
see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
<http://www.gnu.org/licenses/>.  */

static const UINT128 reciprocals10_128[] = {
  { { 0ull, 0ull } }, /* 0 extra digits */
  { { 0x3333333333333334ull ,0x3333333333333333ull } }, /* 1 extra digit */
  { { 0x51eb851eb851eb86ull ,0x051eb851eb851eb8ull } }, /* 2 extra digits */
  { { 0x3b645a1cac083127ull, 0x0083126e978d4fdfull } }, /* 3 extra digits */
  { { 0x4af4f0d844d013aaULL, 0x00346dc5d6388659ULL } }, /*  10^(-4) * 2^131 */
  { { 0x08c3f3e0370cdc88ULL, 0x0029f16b11c6d1e1ULL } }, /*  10^(-5) * 2^134 */
  { { 0x6d698fe69270b06dULL, 0x00218def416bdb1aULL } }, /*  10^(-6) * 2^137 */
  { { 0xaf0f4ca41d811a47ULL, 0x0035afe535795e90ULL } }, /*  10^(-7) * 2^141 */
  { { 0xbf3f70834acdaea0ULL, 0x002af31dc4611873ULL } }, /*  10^(-8) * 2^144 */
  { { 0x65cc5a02a23e254dULL, 0x00225c17d04dad29ULL } }, /*  10^(-9) * 2^147 */
  { { 0x6fad5cd10396a214ULL, 0x0036f9bfb3af7b75ULL } }, /* 10^(-10) * 2^151 */
  { { 0xbfbde3da69454e76ULL, 0x002bfaffc2f2c92aULL } }, /* 10^(-11) * 2^154 */
  { { 0x32fe4fe1edd10b92ULL, 0x00232f33025bd422ULL } }, /* 10^(-12) * 2^157 */
  { { 0x84ca19697c81ac1cULL, 0x00384b84d092ed03ULL } }, /* 10^(-13) * 2^161 */
  { { 0x03d4e1213067bce4ULL, 0x002d09370d425736ULL } }, /* 10^(-14) * 2^164 */
  { { 0x3643e74dc052fd83ULL, 0x0024075f3dceac2bULL } }, /* 10^(-15) * 2^167 */
  { { 0x56d30baf9a1e626bULL, 0x0039a5652fb11378ULL } }, /* 10^(-16) * 2^171 */
  { { 0x12426fbfae7eb522ULL, 0x002e1dea8c8da92dULL } }, /* 10^(-17) * 2^174 */
  { { 0x41cebfcc8b9890e8ULL, 0x0024e4bba3a48757ULL } }, /* 10^(-18) * 2^177 */
  { { 0x694acc7a78f41b0dULL, 0x003b07929f6da558ULL } }, /* 10^(-19) * 2^181 */
  { { 0xbaa23d2ec729af3eULL, 0x002f394219248446ULL } }, /* 10^(-20) * 2^184 */
  { { 0xfbb4fdbf05baf298ULL, 0x0025c768141d369eULL } }, /* 10^(-21) * 2^187 */
  { { 0x2c54c931a2c4b759ULL, 0x003c7240202ebdcbULL } }, /* 10^(-22) * 2^191 */
  { { 0x89dd6dc14f03c5e1ULL, 0x00305b66802564a2ULL } }, /* 10^(-23) * 2^194 */
  { { 0xd4b1249aa59c9e4eULL, 0x0026af8533511d4eULL } }, /* 10^(-24) * 2^197 */
  { { 0x544ea0f76f60fd49ULL, 0x003de5a1ebb4fbb1ULL } }, /* 10^(-25) * 2^201 */
  { { 0x76a54d92bf80caa1ULL, 0x00318481895d9627ULL } }, /* 10^(-26) * 2^204 */
  { { 0x921dd7a89933d54eULL, 0x00279d346de4781fULL } }, /* 10^(-27) * 2^207 */
  { { 0x8362f2a75b862215ULL, 0x003f61ed7ca0c032ULL } }, /* 10^(-28) * 2^211 */
  { { 0xcf825bb91604e811ULL, 0x0032b4bdfd4d668eULL } }, /* 10^(-29) * 2^214 */
  { { 0x0c684960de6a5341ULL, 0x00289097fdd7853fULL } }, /* 10^(-30) * 2^217 */
  { { 0x3d203ab3e521dc34ULL, 0x002073accb12d0ffULL } }, /* 10^(-31) * 2^220 */
  { { 0x2e99f7863b696053ULL, 0x0033ec47ab514e65ULL } }, /* 10^(-32) * 2^224 */
  { { 0x587b2c6b62bab376ULL, 0x002989d2ef743eb7ULL } }, /* 10^(-33) * 2^227 */
  { { 0xad2f56bc4efbc2c5ULL, 0x00213b0f25f69892ULL } }, /* 10^(-34) * 2^230 */
  { { 0x0f2abc9d8c9689d1ull, 0x01a95a5b7f87a0efull } } /* 35 extra digits */
};

static const int recip_scale[] = {
  129 - 128,  /* 1 */
  129 - 128,  /* 1/10 */
  129 - 128,  /* 1/10^2 */
  129 - 128,  /* 1/10^3 */
  3, /* 131 - 128 */
  6, /* 134 - 128 */
  9, /* 137 - 128 */
  13, /* 141 - 128 */
  16, /* 144 - 128 */
  19, /* 147 - 128 */
  23, /* 151 - 128 */
  26, /* 154 - 128 */
  29, /* 157 - 128 */
  33, /* 161 - 128 */
  36, /* 164 - 128 */
  39, /* 167 - 128 */
  43, /* 171 - 128 */
  46, /* 174 - 128 */
  49, /* 177 - 128 */
  53, /* 181 - 128 */
  56, /* 184 - 128 */
  59, /* 187 - 128 */
  63, /* 191 - 128 */

  66, /* 194 - 128 */
  69, /* 197 - 128 */
  73, /* 201 - 128 */
  76, /* 204 - 128 */
  79, /* 207 - 128 */
  83, /* 211 - 128 */
  86, /* 214 - 128 */
  89, /* 217 - 128 */
  92, /* 220 - 128 */
  96, /* 224 - 128 */
  99, /* 227 - 128 */
  102, /* 230 - 128 */
  237 - 128,  /* 1/10^35 */
};

static const int short_recip_scale[] = {
  1, 
  65 - 64,
  69 - 64,
  71 - 64,
  75 - 64, 
  78 - 64,
  81 - 64,
  85 - 64,
  88 - 64,
  91 - 64,
  95 - 64,
  98 - 64,
  101 - 64,
  105 - 64,
  108 - 64,
  111 - 64,
  115 - 64, /* 114 - 64 */
  118 - 64
};

static const unsigned long long reciprocals10_64[] = {
  1ull, /* dummy value for 0 extra digits */
  0x3333333333333334ull,   /* 1 extra digit */
  0x51eb851eb851eb86ull,
  0x20c49ba5e353f7cfull,
  0x346dc5d63886594bull,
  0x29f16b11c6d1e109ull,
  0x218def416bdb1a6eull,
  0x35afe535795e90b0ull,
  0x2af31dc4611873c0ull,
  0x225c17d04dad2966ull,
  0x36f9bfb3af7b7570ull,
  0x2bfaffc2f2c92ac0ull,
  0x232f33025bd42233ull,
  0x384b84d092ed0385ull,
  0x2d09370d42573604ull,
  0x24075f3dceac2b37ull,
  0x39a5652fb1137857ull,   
  0x2e1dea8c8da92d13ull
};

static const UINT64 d2b[] = {  
    0,   1,   2,   3,   4,   5,   6,   7,
    8,   9,  80,  81, 800, 801, 880, 881,
    10,  11,  12,  13,  14,  15,  16,  17,
    18,  19,  90,  91, 810, 811, 890, 891,
    20,  21,  22,  23,  24,  25,  26,  27,
    28,  29,  82,  83, 820, 821, 808, 809,
    30,  31,  32,  33,  34,  35,  36,  37,
    38,  39,  92,  93, 830, 831, 818, 819,
    40,  41,  42,  43,  44,  45,  46,  47,
    48,  49,  84,  85, 840, 841,  88,  89,
    50,  51,  52,  53,  54,  55,  56,  57,
    58,  59,  94,  95, 850, 851,  98,  99,
    60,  61,  62,  63,  64,  65,  66,  67,
    68,  69,  86,  87, 860, 861, 888, 889,
    70,  71,  72,  73,  74,  75,  76,  77,
    78,  79,  96,  97, 870, 871, 898, 899,
    100, 101, 102, 103, 104, 105, 106, 107,
    108, 109, 180, 181, 900, 901, 980, 981,
    110, 111, 112, 113, 114, 115, 116, 117,
    118, 119, 190, 191, 910, 911, 990, 991,
    120, 121, 122, 123, 124, 125, 126, 127,
    128, 129, 182, 183, 920, 921, 908, 909,
    130, 131, 132, 133, 134, 135, 136, 137,
    138, 139, 192, 193, 930, 931, 918, 919,
    140, 141, 142, 143, 144, 145, 146, 147,
    148, 149, 184, 185, 940, 941, 188, 189,
    150, 151, 152, 153, 154, 155, 156, 157,
    158, 159, 194, 195, 950, 951, 198, 199,
    160, 161, 162, 163, 164, 165, 166, 167,
    168, 169, 186, 187, 960, 961, 988, 989,
    170, 171, 172, 173, 174, 175, 176, 177,
    178, 179, 196, 197, 970, 971, 998, 999,
    200, 201, 202, 203, 204, 205, 206, 207,
    208, 209, 280, 281, 802, 803, 882, 883,
    210, 211, 212, 213, 214, 215, 216, 217,
    218, 219, 290, 291, 812, 813, 892, 893,
    220, 221, 222, 223, 224, 225, 226, 227,
    228, 229, 282, 283, 822, 823, 828, 829,
    230, 231, 232, 233, 234, 235, 236, 237,
    238, 239, 292, 293, 832, 833, 838, 839,
    240, 241, 242, 243, 244, 245, 246, 247,
    248, 249, 284, 285, 842, 843, 288, 289,
    250, 251, 252, 253, 254, 255, 256, 257,
    258, 259, 294, 295, 852, 853, 298, 299,
    260, 261, 262, 263, 264, 265, 266, 267,
    268, 269, 286, 287, 862, 863, 888, 889,
    270, 271, 272, 273, 274, 275, 276, 277,
    278, 279, 296, 297, 872, 873, 898, 899,
    300, 301, 302, 303, 304, 305, 306, 307,
    308, 309, 380, 381, 902, 903, 982, 983,
    310, 311, 312, 313, 314, 315, 316, 317,
    318, 319, 390, 391, 912, 913, 992, 993,
    320, 321, 322, 323, 324, 325, 326, 327,
    328, 329, 382, 383, 922, 923, 928, 929,
    330, 331, 332, 333, 334, 335, 336, 337,
    338, 339, 392, 393, 932, 933, 938, 939,
    340, 341, 342, 343, 344, 345, 346, 347,
    348, 349, 384, 385, 942, 943, 388, 389,
    350, 351, 352, 353, 354, 355, 356, 357,
    358, 359, 394, 395, 952, 953, 398, 399,
    360, 361, 362, 363, 364, 365, 366, 367,
    368, 369, 386, 387, 962, 963, 988, 989,
    370, 371, 372, 373, 374, 375, 376, 377,
    378, 379, 396, 397, 972, 973, 998, 999,
    400, 401, 402, 403, 404, 405, 406, 407,
    408, 409, 480, 481, 804, 805, 884, 885,
    410, 411, 412, 413, 414, 415, 416, 417,
    418, 419, 490, 491, 814, 815, 894, 895,
    420, 421, 422, 423, 424, 425, 426, 427,
    428, 429, 482, 483, 824, 825, 848, 849,
    430, 431, 432, 433, 434, 435, 436, 437,
    438, 439, 492, 493, 834, 835, 858, 859,
    440, 441, 442, 443, 444, 445, 446, 447,
    448, 449, 484, 485, 844, 845, 488, 489,
    450, 451, 452, 453, 454, 455, 456, 457,
    458, 459, 494, 495, 854, 855, 498, 499,
    460, 461, 462, 463, 464, 465, 466, 467,
    468, 469, 486, 487, 864, 865, 888, 889,
    470, 471, 472, 473, 474, 475, 476, 477,
    478, 479, 496, 497, 874, 875, 898, 899,
    500, 501, 502, 503, 504, 505, 506, 507,
    508, 509, 580, 581, 904, 905, 984, 985,
    510, 511, 512, 513, 514, 515, 516, 517,
    518, 519, 590, 591, 914, 915, 994, 995,
    520, 521, 522, 523, 524, 525, 526, 527,
    528, 529, 582, 583, 924, 925, 948, 949,
    530, 531, 532, 533, 534, 535, 536, 537,
    538, 539, 592, 593, 934, 935, 958, 959,
    540, 541, 542, 543, 544, 545, 546, 547,
    548, 549, 584, 585, 944, 945, 588, 589,
    550, 551, 552, 553, 554, 555, 556, 557,
    558, 559, 594, 595, 954, 955, 598, 599,
    560, 561, 562, 563, 564, 565, 566, 567,
    568, 569, 586, 587, 964, 965, 988, 989,
    570, 571, 572, 573, 574, 575, 576, 577,
    578, 579, 596, 597, 974, 975, 998, 999,
    600, 601, 602, 603, 604, 605, 606, 607,
    608, 609, 680, 681, 806, 807, 886, 887,
    610, 611, 612, 613, 614, 615, 616, 617,
    618, 619, 690, 691, 816, 817, 896, 897,
    620, 621, 622, 623, 624, 625, 626, 627,
    628, 629, 682, 683, 826, 827, 868, 869,
    630, 631, 632, 633, 634, 635, 636, 637,
    638, 639, 692, 693, 836, 837, 878, 879,
    640, 641, 642, 643, 644, 645, 646, 647,
    648, 649, 684, 685, 846, 847, 688, 689,
    650, 651, 652, 653, 654, 655, 656, 657,
    658, 659, 694, 695, 856, 857, 698, 699,
    660, 661, 662, 663, 664, 665, 666, 667,
    668, 669, 686, 687, 866, 867, 888, 889,
    670, 671, 672, 673, 674, 675, 676, 677,
    678, 679, 696, 697, 876, 877, 898, 899,
    700, 701, 702, 703, 704, 705, 706, 707,
    708, 709, 780, 781, 906, 907, 986, 987,
    710, 711, 712, 713, 714, 715, 716, 717,
    718, 719, 790, 791, 916, 917, 996, 997,
    720, 721, 722, 723, 724, 725, 726, 727,
    728, 729, 782, 783, 926, 927, 968, 969,
    730, 731, 732, 733, 734, 735, 736, 737,
    738, 739, 792, 793, 936, 937, 978, 979,
    740, 741, 742, 743, 744, 745, 746, 747,
    748, 749, 784, 785, 946, 947, 788, 789,
    750, 751, 752, 753, 754, 755, 756, 757,
    758, 759, 794, 795, 956, 957, 798, 799,
    760, 761, 762, 763, 764, 765, 766, 767,
    768, 769, 786, 787, 966, 967, 988, 989,
    770, 771, 772, 773, 774, 775, 776, 777,
    778, 779, 796, 797, 976, 977, 998, 999 };

static const UINT64 d2b2[] = {  
    0000ull, 1000ull, 2000ull, 3000ull,
    4000ull, 5000ull, 6000ull, 7000ull,
    8000ull, 9000ull, 80000ull, 81000ull,
    800000ull, 801000ull, 880000ull, 881000ull,
    10000ull, 11000ull, 12000ull, 13000ull,
    14000ull, 15000ull, 16000ull, 17000ull,
    18000ull, 19000ull, 90000ull, 91000ull,
    810000ull, 811000ull, 890000ull, 891000ull,
    20000ull, 21000ull, 22000ull, 23000ull,
    24000ull, 25000ull, 26000ull, 27000ull,
    28000ull, 29000ull, 82000ull, 83000ull,
    820000ull, 821000ull, 808000ull, 809000ull,
    30000ull, 31000ull, 32000ull, 33000ull,
    34000ull, 35000ull, 36000ull, 37000ull,
    38000ull, 39000ull, 92000ull, 93000ull,
    830000ull, 831000ull, 818000ull, 819000ull,
    40000ull, 41000ull, 42000ull, 43000ull,
    44000ull, 45000ull, 46000ull, 47000ull,
    48000ull, 49000ull, 84000ull, 85000ull,
    840000ull, 841000ull, 88000ull, 89000ull,
    50000ull, 51000ull, 52000ull, 53000ull,
    54000ull, 55000ull, 56000ull, 57000ull,
    58000ull, 59000ull, 94000ull, 95000ull,
    850000ull, 851000ull, 98000ull, 99000ull,
    60000ull, 61000ull, 62000ull, 63000ull,
    64000ull, 65000ull, 66000ull, 67000ull,
    68000ull, 69000ull, 86000ull, 87000ull,
    860000ull, 861000ull, 888000ull, 889000ull,
    70000ull, 71000ull, 72000ull, 73000ull,
    74000ull, 75000ull, 76000ull, 77000ull,
    78000ull, 79000ull, 96000ull, 97000ull,
    870000ull, 871000ull, 898000ull, 899000ull,
    100000ull, 101000ull, 102000ull, 103000ull,
    104000ull, 105000ull, 106000ull, 107000ull,
    108000ull, 109000ull, 180000ull, 181000ull,
    900000ull, 901000ull, 980000ull, 981000ull,
    110000ull, 111000ull, 112000ull, 113000ull,
    114000ull, 115000ull, 116000ull, 117000ull,
    118000ull, 119000ull, 190000ull, 191000ull,
    910000ull, 911000ull, 990000ull, 991000ull,
    120000ull, 121000ull, 122000ull, 123000ull,
    124000ull, 125000ull, 126000ull, 127000ull,
    128000ull, 129000ull, 182000ull, 183000ull,
    920000ull, 921000ull, 908000ull, 909000ull,
    130000ull, 131000ull, 132000ull, 133000ull,
    134000ull, 135000ull, 136000ull, 137000ull,
    138000ull, 139000ull, 192000ull, 193000ull,
    930000ull, 931000ull, 918000ull, 919000ull,
    140000ull, 141000ull, 142000ull, 143000ull,
    144000ull, 145000ull, 146000ull, 147000ull,
    148000ull, 149000ull, 184000ull, 185000ull,
    940000ull, 941000ull, 188000ull, 189000ull,
    150000ull, 151000ull, 152000ull, 153000ull,
    154000ull, 155000ull, 156000ull, 157000ull,
    158000ull, 159000ull, 194000ull, 195000ull,
    950000ull, 951000ull, 198000ull, 199000ull,
    160000ull, 161000ull, 162000ull, 163000ull,
    164000ull, 165000ull, 166000ull, 167000ull,
    168000ull, 169000ull, 186000ull, 187000ull,
    960000ull, 961000ull, 988000ull, 989000ull,
    170000ull, 171000ull, 172000ull, 173000ull,
    174000ull, 175000ull, 176000ull, 177000ull,
    178000ull, 179000ull, 196000ull, 197000ull,
    970000ull, 971000ull, 998000ull, 999000ull,
    200000ull, 201000ull, 202000ull, 203000ull,
    204000ull, 205000ull, 206000ull, 207000ull,
    208000ull, 209000ull, 280000ull, 281000ull,
    802000ull, 803000ull, 882000ull, 883000ull,
    210000ull, 211000ull, 212000ull, 213000ull,
    214000ull, 215000ull, 216000ull, 217000ull,
    218000ull, 219000ull, 290000ull, 291000ull,
    812000ull, 813000ull, 892000ull, 893000ull,
    220000ull, 221000ull, 222000ull, 223000ull,
    224000ull, 225000ull, 226000ull, 227000ull,
    228000ull, 229000ull, 282000ull, 283000ull,
    822000ull, 823000ull, 828000ull, 829000ull,
    230000ull, 231000ull, 232000ull, 233000ull,
    234000ull, 235000ull, 236000ull, 237000ull,
    238000ull, 239000ull, 292000ull, 293000ull,
    832000ull, 833000ull, 838000ull, 839000ull,
    240000ull, 241000ull, 242000ull, 243000ull,
    244000ull, 245000ull, 246000ull, 247000ull,
    248000ull, 249000ull, 284000ull, 285000ull,
    842000ull, 843000ull, 288000ull, 289000ull,
    250000ull, 251000ull, 252000ull, 253000ull,
    254000ull, 255000ull, 256000ull, 257000ull,
    258000ull, 259000ull, 294000ull, 295000ull,
    852000ull, 853000ull, 298000ull, 299000ull,
    260000ull, 261000ull, 262000ull, 263000ull,
    264000ull, 265000ull, 266000ull, 267000ull,
    268000ull, 269000ull, 286000ull, 287000ull,
    862000ull, 863000ull, 888000ull, 889000ull,
    270000ull, 271000ull, 272000ull, 273000ull,
    274000ull, 275000ull, 276000ull, 277000ull,
    278000ull, 279000ull, 296000ull, 297000ull,
    872000ull, 873000ull, 898000ull, 899000ull,
    300000ull, 301000ull, 302000ull, 303000ull,
    304000ull, 305000ull, 306000ull, 307000ull,
    308000ull, 309000ull, 380000ull, 381000ull,
    902000ull, 903000ull, 982000ull, 983000ull,
    310000ull, 311000ull, 312000ull, 313000ull,
    314000ull, 315000ull, 316000ull, 317000ull,
    318000ull, 319000ull, 390000ull, 391000ull,
    912000ull, 913000ull, 992000ull, 993000ull,
    320000ull, 321000ull, 322000ull, 323000ull,
    324000ull, 325000ull, 326000ull, 327000ull,
    328000ull, 329000ull, 382000ull, 383000ull,
    922000ull, 923000ull, 928000ull, 929000ull,
    330000ull, 331000ull, 332000ull, 333000ull,
    334000ull, 335000ull, 336000ull, 337000ull,
    338000ull, 339000ull, 392000ull, 393000ull,
    932000ull, 933000ull, 938000ull, 939000ull,
    340000ull, 341000ull, 342000ull, 343000ull,
    344000ull, 345000ull, 346000ull, 347000ull,
    348000ull, 349000ull, 384000ull, 385000ull,
    942000ull, 943000ull, 388000ull, 389000ull,
    350000ull, 351000ull, 352000ull, 353000ull,
    354000ull, 355000ull, 356000ull, 357000ull,
    358000ull, 359000ull, 394000ull, 395000ull,
    952000ull, 953000ull, 398000ull, 399000ull,
    360000ull, 361000ull, 362000ull, 363000ull,
    364000ull, 365000ull, 366000ull, 367000ull,
    368000ull, 369000ull, 386000ull, 387000ull,
    962000ull, 963000ull, 988000ull, 989000ull,
    370000ull, 371000ull, 372000ull, 373000ull,
    374000ull, 375000ull, 376000ull, 377000ull,
    378000ull, 379000ull, 396000ull, 397000ull,
    972000ull, 973000ull, 998000ull, 999000ull,
    400000ull, 401000ull, 402000ull, 403000ull,
    404000ull, 405000ull, 406000ull, 407000ull,
    408000ull, 409000ull, 480000ull, 481000ull,
    804000ull, 805000ull, 884000ull, 885000ull,
    410000ull, 411000ull, 412000ull, 413000ull,
    414000ull, 415000ull, 416000ull, 417000ull,
    418000ull, 419000ull, 490000ull, 491000ull,
    814000ull, 815000ull, 894000ull, 895000ull,
    420000ull, 421000ull, 422000ull, 423000ull,
    424000ull, 425000ull, 426000ull, 427000ull,
    428000ull, 429000ull, 482000ull, 483000ull,
    824000ull, 825000ull, 848000ull, 849000ull,
    430000ull, 431000ull, 432000ull, 433000ull,
    434000ull, 435000ull, 436000ull, 437000ull,
    438000ull, 439000ull, 492000ull, 493000ull,
    834000ull, 835000ull, 858000ull, 859000ull,
    440000ull, 441000ull, 442000ull, 443000ull,
    444000ull, 445000ull, 446000ull, 447000ull,
    448000ull, 449000ull, 484000ull, 485000ull,
    844000ull, 845000ull, 488000ull, 489000ull,
    450000ull, 451000ull, 452000ull, 453000ull,
    454000ull, 455000ull, 456000ull, 457000ull,
    458000ull, 459000ull, 494000ull, 495000ull,
    854000ull, 855000ull, 498000ull, 499000ull,
    460000ull, 461000ull, 462000ull, 463000ull,
    464000ull, 465000ull, 466000ull, 467000ull,
    468000ull, 469000ull, 486000ull, 487000ull,
    864000ull, 865000ull, 888000ull, 889000ull,
    470000ull, 471000ull, 472000ull, 473000ull,
    474000ull, 475000ull, 476000ull, 477000ull,
    478000ull, 479000ull, 496000ull, 497000ull,
    874000ull, 875000ull, 898000ull, 899000ull,
    500000ull, 501000ull, 502000ull, 503000ull,
    504000ull, 505000ull, 506000ull, 507000ull,
    508000ull, 509000ull, 580000ull, 581000ull,
    904000ull, 905000ull, 984000ull, 985000ull,
    510000ull, 511000ull, 512000ull, 513000ull,
    514000ull, 515000ull, 516000ull, 517000ull,
    518000ull, 519000ull, 590000ull, 591000ull,
    914000ull, 915000ull, 994000ull, 995000ull,
    520000ull, 521000ull, 522000ull, 523000ull,
    524000ull, 525000ull, 526000ull, 527000ull,
    528000ull, 529000ull, 582000ull, 583000ull,
    924000ull, 925000ull, 948000ull, 949000ull,
    530000ull, 531000ull, 532000ull, 533000ull,
    534000ull, 535000ull, 536000ull, 537000ull,
    538000ull, 539000ull, 592000ull, 593000ull,
    934000ull, 935000ull, 958000ull, 959000ull,
    540000ull, 541000ull, 542000ull, 543000ull,
    544000ull, 545000ull, 546000ull, 547000ull,
    548000ull, 549000ull, 584000ull, 585000ull,
    944000ull, 945000ull, 588000ull, 589000ull,
    550000ull, 551000ull, 552000ull, 553000ull,
    554000ull, 555000ull, 556000ull, 557000ull,
    558000ull, 559000ull, 594000ull, 595000ull,
    954000ull, 955000ull, 598000ull, 599000ull,
    560000ull, 561000ull, 562000ull, 563000ull,
    564000ull, 565000ull, 566000ull, 567000ull,
    568000ull, 569000ull, 586000ull, 587000ull,
    964000ull, 965000ull, 988000ull, 989000ull,
    570000ull, 571000ull, 572000ull, 573000ull,
    574000ull, 575000ull, 576000ull, 577000ull,
    578000ull, 579000ull, 596000ull, 597000ull,
    974000ull, 975000ull, 998000ull, 999000ull,
    600000ull, 601000ull, 602000ull, 603000ull,
    604000ull, 605000ull, 606000ull, 607000ull,
    608000ull, 609000ull, 680000ull, 681000ull,
    806000ull, 807000ull, 886000ull, 887000ull,
    610000ull, 611000ull, 612000ull, 613000ull,
    614000ull, 615000ull, 616000ull, 617000ull,
    618000ull, 619000ull, 690000ull, 691000ull,
    816000ull, 817000ull, 896000ull, 897000ull,
    620000ull, 621000ull, 622000ull, 623000ull,
    624000ull, 625000ull, 626000ull, 627000ull,
    628000ull, 629000ull, 682000ull, 683000ull,
    826000ull, 827000ull, 868000ull, 869000ull,
    630000ull, 631000ull, 632000ull, 633000ull,
    634000ull, 635000ull, 636000ull, 637000ull,
    638000ull, 639000ull, 692000ull, 693000ull,
    836000ull, 837000ull, 878000ull, 879000ull,
    640000ull, 641000ull, 642000ull, 643000ull,
    644000ull, 645000ull, 646000ull, 647000ull,
    648000ull, 649000ull, 684000ull, 685000ull,
    846000ull, 847000ull, 688000ull, 689000ull,
    650000ull, 651000ull, 652000ull, 653000ull,
    654000ull, 655000ull, 656000ull, 657000ull,
    658000ull, 659000ull, 694000ull, 695000ull,
    856000ull, 857000ull, 698000ull, 699000ull,
    660000ull, 661000ull, 662000ull, 663000ull,
    664000ull, 665000ull, 666000ull, 667000ull,
    668000ull, 669000ull, 686000ull, 687000ull,
    866000ull, 867000ull, 888000ull, 889000ull,
    670000ull, 671000ull, 672000ull, 673000ull,
    674000ull, 675000ull, 676000ull, 677000ull,
    678000ull, 679000ull, 696000ull, 697000ull,
    876000ull, 877000ull, 898000ull, 899000ull,
    700000ull, 701000ull, 702000ull, 703000ull,
    704000ull, 705000ull, 706000ull, 707000ull,
    708000ull, 709000ull, 780000ull, 781000ull,
    906000ull, 907000ull, 986000ull, 987000ull,
    710000ull, 711000ull, 712000ull, 713000ull,
    714000ull, 715000ull, 716000ull, 717000ull,
    718000ull, 719000ull, 790000ull, 791000ull,
    916000ull, 917000ull, 996000ull, 997000ull,
    720000ull, 721000ull, 722000ull, 723000ull,
    724000ull, 725000ull, 726000ull, 727000ull,
    728000ull, 729000ull, 782000ull, 783000ull,
    926000ull, 927000ull, 968000ull, 969000ull,
    730000ull, 731000ull, 732000ull, 733000ull,
    734000ull, 735000ull, 736000ull, 737000ull,
    738000ull, 739000ull, 792000ull, 793000ull,
    936000ull, 937000ull, 978000ull, 979000ull,
    740000ull, 741000ull, 742000ull, 743000ull,
    744000ull, 745000ull, 746000ull, 747000ull,
    748000ull, 749000ull, 784000ull, 785000ull,
    946000ull, 947000ull, 788000ull, 789000ull,
    750000ull, 751000ull, 752000ull, 753000ull,
    754000ull, 755000ull, 756000ull, 757000ull,
    758000ull, 759000ull, 794000ull, 795000ull,
    956000ull, 957000ull, 798000ull, 799000ull,
    760000ull, 761000ull, 762000ull, 763000ull,
    764000ull, 765000ull, 766000ull, 767000ull,
    768000ull, 769000ull, 786000ull, 787000ull,
    966000ull, 967000ull, 988000ull, 989000ull,
    770000ull, 771000ull, 772000ull, 773000ull,
    774000ull, 775000ull, 776000ull, 777000ull,
    778000ull, 779000ull, 796000ull, 797000ull,
    976000ull, 977000ull, 998000ull, 999000ull 
};

static const UINT64 d2b3[] = {  
    0000000ull,
    1000000ull,
    2000000ull,
    3000000ull,
    4000000ull,
    5000000ull,
    6000000ull,
    7000000ull,
    8000000ull,
    9000000ull,
    80000000ull,
    81000000ull,
    800000000ull,
    801000000ull,
    880000000ull,
    881000000ull,
    
    10000000ull,
    11000000ull,
    12000000ull,
    13000000ull,
    14000000ull,
    15000000ull,
    16000000ull,
    17000000ull,
    18000000ull,
    19000000ull,
    90000000ull,
    91000000ull,
    810000000ull,
    811000000ull,
    890000000ull,
    891000000ull,
    
    20000000ull,
    21000000ull,
    22000000ull,
    23000000ull,
    24000000ull,
    25000000ull,
    26000000ull,
    27000000ull,
    28000000ull,
    29000000ull,
    82000000ull,
    83000000ull,
    820000000ull,
    821000000ull,
    808000000ull,
    809000000ull,
    
    30000000ull,
    31000000ull,
    32000000ull,
    33000000ull,
    34000000ull,
    35000000ull,
    36000000ull,
    37000000ull,
    38000000ull,
    39000000ull,
    92000000ull,
    93000000ull,
    830000000ull,
    831000000ull,
    818000000ull,
    819000000ull,
    
    40000000ull,
    41000000ull,
    42000000ull,
    43000000ull,
    44000000ull,
    45000000ull,
    46000000ull,
    47000000ull,
    48000000ull,
    49000000ull,
    84000000ull,
    85000000ull,
    840000000ull,
    841000000ull,
    88000000ull,
    89000000ull,
    
    50000000ull,
    51000000ull,
    52000000ull,
    53000000ull,
    54000000ull,
    55000000ull,
    56000000ull,
    57000000ull,
    58000000ull,
    59000000ull,
    94000000ull,
    95000000ull,
    850000000ull,
    851000000ull,
    98000000ull,
    99000000ull,
    
    60000000ull,
    61000000ull,
    62000000ull,
    63000000ull,
    64000000ull,
    65000000ull,
    66000000ull,
    67000000ull,
    68000000ull,
    69000000ull,
    86000000ull,
    87000000ull,
    860000000ull,
    861000000ull,
    888000000ull,
    889000000ull,
    
    70000000ull,
    71000000ull,
    72000000ull,
    73000000ull,
    74000000ull,
    75000000ull,
    76000000ull,
    77000000ull,
    78000000ull,
    79000000ull,
    96000000ull,
    97000000ull,
    870000000ull,
    871000000ull,
    898000000ull,
    899000000ull,
    
    100000000ull,
    101000000ull,
    102000000ull,
    103000000ull,
    104000000ull,
    105000000ull,
    106000000ull,
    107000000ull,
    108000000ull,
    109000000ull,
    180000000ull,
    181000000ull,
    900000000ull,
    901000000ull,
    980000000ull,
    981000000ull,
    
    110000000ull,
    111000000ull,
    112000000ull,
    113000000ull,
    114000000ull,
    115000000ull,
    116000000ull,
    117000000ull,
    118000000ull,
    119000000ull,
    190000000ull,
    191000000ull,
    910000000ull,
    911000000ull,
    990000000ull,
    991000000ull,
    
    120000000ull,
    121000000ull,
    122000000ull,
    123000000ull,
    124000000ull,
    125000000ull,
    126000000ull,
    127000000ull,
    128000000ull,
    129000000ull,
    182000000ull,
    183000000ull,
    920000000ull,
    921000000ull,
    908000000ull,
    909000000ull,
    
    130000000ull,
    131000000ull,
    132000000ull,
    133000000ull,
    134000000ull,
    135000000ull,
    136000000ull,
    137000000ull,
    138000000ull,
    139000000ull,
    192000000ull,
    193000000ull,
    930000000ull,
    931000000ull,
    918000000ull,
    919000000ull,
    
    140000000ull,
    141000000ull,
    142000000ull,
    143000000ull,
    144000000ull,
    145000000ull,
    146000000ull,
    147000000ull,
    148000000ull,
    149000000ull,
    184000000ull,
    185000000ull,
    940000000ull,
    941000000ull,
    188000000ull,
    189000000ull,
    
    150000000ull,
    151000000ull,
    152000000ull,
    153000000ull,
    154000000ull,
    155000000ull,
    156000000ull,
    157000000ull,
    158000000ull,
    159000000ull,
    194000000ull,
    195000000ull,
    950000000ull,
    951000000ull,
    198000000ull,
    199000000ull,
    
    160000000ull,
    161000000ull,
    162000000ull,
    163000000ull,
    164000000ull,
    165000000ull,
    166000000ull,
    167000000ull,
    168000000ull,
    169000000ull,
    186000000ull,
    187000000ull,
    960000000ull,
    961000000ull,
    988000000ull,
    989000000ull,
    
    170000000ull,
    171000000ull,
    172000000ull,
    173000000ull,
    174000000ull,
    175000000ull,
    176000000ull,
    177000000ull,
    178000000ull,
    179000000ull,
    196000000ull,
    197000000ull,
    970000000ull,
    971000000ull,
    998000000ull,
    999000000ull,
    
    200000000ull,
    201000000ull,
    202000000ull,
    203000000ull,
    204000000ull,
    205000000ull,
    206000000ull,
    207000000ull,
    208000000ull,
    209000000ull,
    280000000ull,
    281000000ull,
    802000000ull,
    803000000ull,
    882000000ull,
    883000000ull,
    
    210000000ull,
    211000000ull,
    212000000ull,
    213000000ull,
    214000000ull,
    215000000ull,
    216000000ull,
    217000000ull,
    218000000ull,
    219000000ull,
    290000000ull,
    291000000ull,
    812000000ull,
    813000000ull,
    892000000ull,
    893000000ull,
    
    220000000ull,
    221000000ull,
    222000000ull,
    223000000ull,
    224000000ull,
    225000000ull,
    226000000ull,
    227000000ull,
    228000000ull,
    229000000ull,
    282000000ull,
    283000000ull,
    822000000ull,
    823000000ull,
    828000000ull,
    829000000ull,
    
    230000000ull,
    231000000ull,
    232000000ull,
    233000000ull,
    234000000ull,
    235000000ull,
    236000000ull,
    237000000ull,
    238000000ull,
    239000000ull,
    292000000ull,
    293000000ull,
    832000000ull,
    833000000ull,
    838000000ull,
    839000000ull,
    
    240000000ull,
    241000000ull,
    242000000ull,
    243000000ull,
    244000000ull,
    245000000ull,
    246000000ull,
    247000000ull,
    248000000ull,
    249000000ull,
    284000000ull,
    285000000ull,
    842000000ull,
    843000000ull,
    288000000ull,
    289000000ull,
    
    250000000ull,
    251000000ull,
    252000000ull,
    253000000ull,
    254000000ull,
    255000000ull,
    256000000ull,
    257000000ull,
    258000000ull,
    259000000ull,
    294000000ull,
    295000000ull,
    852000000ull,
    853000000ull,
    298000000ull,
    299000000ull,
    
    260000000ull,
    261000000ull,
    262000000ull,
    263000000ull,
    264000000ull,
    265000000ull,
    266000000ull,
    267000000ull,
    268000000ull,
    269000000ull,
    286000000ull,
    287000000ull,
    862000000ull,
    863000000ull,
    888000000ull,
    889000000ull,
    
    270000000ull,
    271000000ull,
    272000000ull,
    273000000ull,
    274000000ull,
    275000000ull,
    276000000ull,
    277000000ull,
    278000000ull,
    279000000ull,
    296000000ull,
    297000000ull,
    872000000ull,
    873000000ull,
    898000000ull,
    899000000ull,
    
    300000000ull,
    301000000ull,
    302000000ull,
    303000000ull,
    304000000ull,
    305000000ull,
    306000000ull,
    307000000ull,
    308000000ull,
    309000000ull,
    380000000ull,
    381000000ull,
    902000000ull,
    903000000ull,
    982000000ull,
    983000000ull,
    
    310000000ull,
    311000000ull,
    312000000ull,
    313000000ull,
    314000000ull,
    315000000ull,
    316000000ull,
    317000000ull,
    318000000ull,
    319000000ull,
    390000000ull,
    391000000ull,
    912000000ull,
    913000000ull,
    992000000ull,
    993000000ull,
    
    320000000ull,
    321000000ull,
    322000000ull,
    323000000ull,
    324000000ull,
    325000000ull,
    326000000ull,
    327000000ull,
    328000000ull,
    329000000ull,
    382000000ull,
    383000000ull,
    922000000ull,
    923000000ull,
    928000000ull,
    929000000ull,
    
    330000000ull,
    331000000ull,
    332000000ull,
    333000000ull,
    334000000ull,
    335000000ull,
    336000000ull,
    337000000ull,
    338000000ull,
    339000000ull,
    392000000ull,
    393000000ull,
    932000000ull,
    933000000ull,
    938000000ull,
    939000000ull,
    
    340000000ull,
    341000000ull,
    342000000ull,
    343000000ull,
    344000000ull,
    345000000ull,
    346000000ull,
    347000000ull,
    348000000ull,
    349000000ull,
    384000000ull,
    385000000ull,
    942000000ull,
    943000000ull,
    388000000ull,
    389000000ull,
    
    350000000ull,
    351000000ull,
    352000000ull,
    353000000ull,
    354000000ull,
    355000000ull,
    356000000ull,
    357000000ull,
    358000000ull,
    359000000ull,
    394000000ull,
    395000000ull,
    952000000ull,
    953000000ull,
    398000000ull,
    399000000ull,
    
    360000000ull,
    361000000ull,
    362000000ull,
    363000000ull,
    364000000ull,
    365000000ull,
    366000000ull,
    367000000ull,
    368000000ull,
    369000000ull,
    386000000ull,
    387000000ull,
    962000000ull,
    963000000ull,
    988000000ull,
    989000000ull,
    
    370000000ull,
    371000000ull,
    372000000ull,
    373000000ull,
    374000000ull,
    375000000ull,
    376000000ull,
    377000000ull,
    378000000ull,
    379000000ull,
    396000000ull,
    397000000ull,
    972000000ull,
    973000000ull,
    998000000ull,
    999000000ull,
    
    400000000ull,
    401000000ull,
    402000000ull,
    403000000ull,
    404000000ull,
    405000000ull,
    406000000ull,
    407000000ull,
    408000000ull,
    409000000ull,
    480000000ull,
    481000000ull,
    804000000ull,
    805000000ull,
    884000000ull,
    885000000ull,
    
    410000000ull,
    411000000ull,
    412000000ull,
    413000000ull,
    414000000ull,
    415000000ull,
    416000000ull,
    417000000ull,
    418000000ull,
    419000000ull,
    490000000ull,
    491000000ull,
    814000000ull,
    815000000ull,
    894000000ull,
    895000000ull,
    
    420000000ull,
    421000000ull,
    422000000ull,
    423000000ull,
    424000000ull,
    425000000ull,
    426000000ull,
    427000000ull,
    428000000ull,
    429000000ull,
    482000000ull,
    483000000ull,
    824000000ull,
    825000000ull,
    848000000ull,
    849000000ull,
    
    430000000ull,
    431000000ull,
    432000000ull,
    433000000ull,
    434000000ull,
    435000000ull,
    436000000ull,
    437000000ull,
    438000000ull,
    439000000ull,
    492000000ull,
    493000000ull,
    834000000ull,
    835000000ull,
    858000000ull,
    859000000ull,
    
    440000000ull,
    441000000ull,
    442000000ull,
    443000000ull,
    444000000ull,
    445000000ull,
    446000000ull,
    447000000ull,
    448000000ull,
    449000000ull,
    484000000ull,
    485000000ull,
    844000000ull,
    845000000ull,
    488000000ull,
    489000000ull,
    
    450000000ull,
    451000000ull,
    452000000ull,
    453000000ull,
    454000000ull,
    455000000ull,
    456000000ull,
    457000000ull,
    458000000ull,
    459000000ull,
    494000000ull,
    495000000ull,
    854000000ull,
    855000000ull,
    498000000ull,
    499000000ull,
    
    460000000ull,
    461000000ull,
    462000000ull,
    463000000ull,
    464000000ull,
    465000000ull,
    466000000ull,
    467000000ull,
    468000000ull,
    469000000ull,
    486000000ull,
    487000000ull,
    864000000ull,
    865000000ull,
    888000000ull,
    889000000ull,
    
    470000000ull,
    471000000ull,
    472000000ull,
    473000000ull,
    474000000ull,
    475000000ull,
    476000000ull,
    477000000ull,
    478000000ull,
    479000000ull,
    496000000ull,
    497000000ull,
    874000000ull,
    875000000ull,
    898000000ull,
    899000000ull,
    
    500000000ull,
    501000000ull,
    502000000ull,
    503000000ull,
    504000000ull,
    505000000ull,
    506000000ull,
    507000000ull,
    508000000ull,
    509000000ull,
    580000000ull,
    581000000ull,
    904000000ull,
    905000000ull,
    984000000ull,
    985000000ull,
    
    510000000ull,
    511000000ull,
    512000000ull,
    513000000ull,
    514000000ull,
    515000000ull,
    516000000ull,
    517000000ull,
    518000000ull,
    519000000ull,
    590000000ull,
    591000000ull,
    914000000ull,
    915000000ull,
    994000000ull,
    995000000ull,
    
    520000000ull,
    521000000ull,
    522000000ull,
    523000000ull,
    524000000ull,
    525000000ull,
    526000000ull,
    527000000ull,
    528000000ull,
    529000000ull,
    582000000ull,
    583000000ull,
    924000000ull,
    925000000ull,
    948000000ull,
    949000000ull,
    
    530000000ull,
    531000000ull,
    532000000ull,
    533000000ull,
    534000000ull,
    535000000ull,
    536000000ull,
    537000000ull,
    538000000ull,
    539000000ull,
    592000000ull,
    593000000ull,
    934000000ull,
    935000000ull,
    958000000ull,
    959000000ull,
    
    540000000ull,
    541000000ull,
    542000000ull,
    543000000ull,
    544000000ull,
    545000000ull,
    546000000ull,
    547000000ull,
    548000000ull,
    549000000ull,
    584000000ull,
    585000000ull,
    944000000ull,
    945000000ull,
    588000000ull,
    589000000ull,
    
    550000000ull,
    551000000ull,
    552000000ull,
    553000000ull,
    554000000ull,
    555000000ull,
    556000000ull,
    557000000ull,
    558000000ull,
    559000000ull,
    594000000ull,
    595000000ull,
    954000000ull,
    955000000ull,
    598000000ull,
    599000000ull,
    
    560000000ull,
    561000000ull,
    562000000ull,
    563000000ull,
    564000000ull,
    565000000ull,
    566000000ull,
    567000000ull,
    568000000ull,
    569000000ull,
    586000000ull,
    587000000ull,
    964000000ull,
    965000000ull,
    988000000ull,
    989000000ull,
    
    570000000ull,
    571000000ull,
    572000000ull,
    573000000ull,
    574000000ull,
    575000000ull,
    576000000ull,
    577000000ull,
    578000000ull,
    579000000ull,
    596000000ull,
    597000000ull,
    974000000ull,
    975000000ull,
    998000000ull,
    999000000ull,
    
    600000000ull,
    601000000ull,
    602000000ull,
    603000000ull,
    604000000ull,
    605000000ull,
    606000000ull,
    607000000ull,
    608000000ull,
    609000000ull,
    680000000ull,
    681000000ull,
    806000000ull,
    807000000ull,
    886000000ull,
    887000000ull,
    
    610000000ull,
    611000000ull,
    612000000ull,
    613000000ull,
    614000000ull,
    615000000ull,
    616000000ull,
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    619000000ull,
    690000000ull,
    691000000ull,
    816000000ull,
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    897000000ull,
    
    620000000ull,
    621000000ull,
    622000000ull,
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    682000000ull,
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    630000000ull,
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    640000000ull,
    641000000ull,
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    685000000ull,
    846000000ull,
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    650000000ull,
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    652000000ull,
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    660000000ull,
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    888000000ull,
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    700000000ull,
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    710000000ull,
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    720000000ull,
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    730000000ull,
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    740000000ull,
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    750000000ull,
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    795000000ull,
    956000000ull,
    957000000ull,
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    760000000ull,
    761000000ull,
    762000000ull,
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    764000000ull,
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    766000000ull,
    767000000ull,
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    786000000ull,
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    966000000ull,
    967000000ull,
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    989000000ull,
    
    770000000ull,
    771000000ull,
    772000000ull,
    773000000ull,
    774000000ull,
    775000000ull,
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    777000000ull,
    778000000ull,
    779000000ull,
    796000000ull,
    797000000ull,
    976000000ull,
    977000000ull,
    998000000ull,
    999000000ull };
    
static const UINT64 d2b4[] = {  
    0000000000ull,
    1000000000ull,
    2000000000ull,
    3000000000ull,
    4000000000ull,
    5000000000ull,
    6000000000ull,
    7000000000ull,
    8000000000ull,
    9000000000ull,
    80000000000ull,
    81000000000ull,
    800000000000ull,
    801000000000ull,
    880000000000ull,
    881000000000ull,
    
    10000000000ull,
    11000000000ull,
    12000000000ull,
    13000000000ull,
    14000000000ull,
    15000000000ull,
    16000000000ull,
    17000000000ull,
    18000000000ull,
    19000000000ull,
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    91000000000ull,
    810000000000ull,
    811000000000ull,
    890000000000ull,
    891000000000ull,
    
    20000000000ull,
    21000000000ull,
    22000000000ull,
    23000000000ull,
    24000000000ull,
    25000000000ull,
    26000000000ull,
    27000000000ull,
    28000000000ull,
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    821000000000ull,
    808000000000ull,
    809000000000ull,
    
    30000000000ull,
    31000000000ull,
    32000000000ull,
    33000000000ull,
    34000000000ull,
    35000000000ull,
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    92000000000ull,
    93000000000ull,
    830000000000ull,
    831000000000ull,
    818000000000ull,
    819000000000ull,
    
    40000000000ull,
    41000000000ull,
    42000000000ull,
    43000000000ull,
    44000000000ull,
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    88000000000ull,
    89000000000ull,
    
    50000000000ull,
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    60000000000ull,
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    888000000000ull,
    889000000000ull,
    
    70000000000ull,
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    100000000000ull,
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    110000000000ull,
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    120000000000ull,
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    122000000000ull,
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    128000000000ull,
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    130000000000ull,
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    140000000000ull,
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    150000000000ull,
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    170000000000ull,
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    999000000000ull,
    
    200000000000ull,
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    206000000000ull,
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    230000000000ull,
    231000000000ull,
    232000000000ull,
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    839000000000ull,
    
    240000000000ull,
    241000000000ull,
    242000000000ull,
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    244000000000ull,
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    246000000000ull,
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    288000000000ull,
    289000000000ull,
    
    250000000000ull,
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    295000000000ull,
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    298000000000ull,
    299000000000ull,
    
    260000000000ull,
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    262000000000ull,
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    265000000000ull,
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    889000000000ull,
    
    270000000000ull,
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    899000000000ull,
    
    300000000000ull,
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    302000000000ull,
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    310000000000ull,
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    320000000000ull,
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    330000000000ull,
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    420000000000ull,
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    430000000000ull,
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    607000000000ull,
    608000000000ull,
    609000000000ull,
    680000000000ull,
    681000000000ull,
    806000000000ull,
    807000000000ull,
    886000000000ull,
    887000000000ull,
    
    610000000000ull,
    611000000000ull,
    612000000000ull,
    613000000000ull,
    614000000000ull,
    615000000000ull,
    616000000000ull,
    617000000000ull,
    618000000000ull,
    619000000000ull,
    690000000000ull,
    691000000000ull,
    816000000000ull,
    817000000000ull,
    896000000000ull,
    897000000000ull,
    
    620000000000ull,
    621000000000ull,
    622000000000ull,
    623000000000ull,
    624000000000ull,
    625000000000ull,
    626000000000ull,
    627000000000ull,
    628000000000ull,
    629000000000ull,
    682000000000ull,
    683000000000ull,
    826000000000ull,
    827000000000ull,
    868000000000ull,
    869000000000ull,
    
    630000000000ull,
    631000000000ull,
    632000000000ull,
    633000000000ull,
    634000000000ull,
    635000000000ull,
    636000000000ull,
    637000000000ull,
    638000000000ull,
    639000000000ull,
    692000000000ull,
    693000000000ull,
    836000000000ull,
    837000000000ull,
    878000000000ull,
    879000000000ull,
    
    640000000000ull,
    641000000000ull,
    642000000000ull,
    643000000000ull,
    644000000000ull,
    645000000000ull,
    646000000000ull,
    647000000000ull,
    648000000000ull,
    649000000000ull,
    684000000000ull,
    685000000000ull,
    846000000000ull,
    847000000000ull,
    688000000000ull,
    689000000000ull,
    
    650000000000ull,
    651000000000ull,
    652000000000ull,
    653000000000ull,
    654000000000ull,
    655000000000ull,
    656000000000ull,
    657000000000ull,
    658000000000ull,
    659000000000ull,
    694000000000ull,
    695000000000ull,
    856000000000ull,
    857000000000ull,
    698000000000ull,
    699000000000ull,
    
    660000000000ull,
    661000000000ull,
    662000000000ull,
    663000000000ull,
    664000000000ull,
    665000000000ull,
    666000000000ull,
    667000000000ull,
    668000000000ull,
    669000000000ull,
    686000000000ull,
    687000000000ull,
    866000000000ull,
    867000000000ull,
    888000000000ull,
    889000000000ull,
    
    670000000000ull,
    671000000000ull,
    672000000000ull,
    673000000000ull,
    674000000000ull,
    675000000000ull,
    676000000000ull,
    677000000000ull,
    678000000000ull,
    679000000000ull,
    696000000000ull,
    697000000000ull,
    876000000000ull,
    877000000000ull,
    898000000000ull,
    899000000000ull,
    
    700000000000ull,
    701000000000ull,
    702000000000ull,
    703000000000ull,
    704000000000ull,
    705000000000ull,
    706000000000ull,
    707000000000ull,
    708000000000ull,
    709000000000ull,
    780000000000ull,
    781000000000ull,
    906000000000ull,
    907000000000ull,
    986000000000ull,
    987000000000ull,
    
    710000000000ull,
    711000000000ull,
    712000000000ull,
    713000000000ull,
    714000000000ull,
    715000000000ull,
    716000000000ull,
    717000000000ull,
    718000000000ull,
    719000000000ull,
    790000000000ull,
    791000000000ull,
    916000000000ull,
    917000000000ull,
    996000000000ull,
    997000000000ull,
    
    720000000000ull,
    721000000000ull,
    722000000000ull,
    723000000000ull,
    724000000000ull,
    725000000000ull,
    726000000000ull,
    727000000000ull,
    728000000000ull,
    729000000000ull,
    782000000000ull,
    783000000000ull,
    926000000000ull,
    927000000000ull,
    968000000000ull,
    969000000000ull,
    
    730000000000ull,
    731000000000ull,
    732000000000ull,
    733000000000ull,
    734000000000ull,
    735000000000ull,
    736000000000ull,
    737000000000ull,
    738000000000ull,
    739000000000ull,
    792000000000ull,
    793000000000ull,
    936000000000ull,
    937000000000ull,
    978000000000ull,
    979000000000ull,
    
    740000000000ull,
    741000000000ull,
    742000000000ull,
    743000000000ull,
    744000000000ull,
    745000000000ull,
    746000000000ull,
    747000000000ull,
    748000000000ull,
    749000000000ull,
    784000000000ull,
    785000000000ull,
    946000000000ull,
    947000000000ull,
    788000000000ull,
    789000000000ull,
    
    750000000000ull,
    751000000000ull,
    752000000000ull,
    753000000000ull,
    754000000000ull,
    755000000000ull,
    756000000000ull,
    757000000000ull,
    758000000000ull,
    759000000000ull,
    794000000000ull,
    795000000000ull,
    956000000000ull,
    957000000000ull,
    798000000000ull,
    799000000000ull,
    
    760000000000ull,
    761000000000ull,
    762000000000ull,
    763000000000ull,
    764000000000ull,
    765000000000ull,
    766000000000ull,
    767000000000ull,
    768000000000ull,
    769000000000ull,
    786000000000ull,
    787000000000ull,
    966000000000ull,
    967000000000ull,
    988000000000ull,
    989000000000ull,
    
    770000000000ull,
    771000000000ull,
    772000000000ull,
    773000000000ull,
    774000000000ull,
    775000000000ull,
    776000000000ull,
    777000000000ull,
    778000000000ull,
    779000000000ull,
    796000000000ull,
    797000000000ull,
    976000000000ull,
    977000000000ull,
    998000000000ull,
    999000000000ull 
};
    
static const UINT64 d2b5[] = {  
    0000000000000ull,
    1000000000000ull,
    2000000000000ull,
    3000000000000ull,
    4000000000000ull,
    5000000000000ull,
    6000000000000ull,
    7000000000000ull,
    8000000000000ull,
    9000000000000ull,
    80000000000000ull,
    81000000000000ull,
    800000000000000ull,
    801000000000000ull,
    880000000000000ull,
    881000000000000ull,
    
    10000000000000ull,
    11000000000000ull,
    12000000000000ull,
    13000000000000ull,
    14000000000000ull,
    15000000000000ull,
    16000000000000ull,
    17000000000000ull,
    18000000000000ull,
    19000000000000ull,
    90000000000000ull,
    91000000000000ull,
    810000000000000ull,
    811000000000000ull,
    890000000000000ull,
    891000000000000ull,
    
    20000000000000ull,
    21000000000000ull,
    22000000000000ull,
    23000000000000ull,
    24000000000000ull,
    25000000000000ull,
    26000000000000ull,
    27000000000000ull,
    28000000000000ull,
    29000000000000ull,
    82000000000000ull,
    83000000000000ull,
    820000000000000ull,
    821000000000000ull,
    808000000000000ull,
    809000000000000ull,
    
    30000000000000ull,
    31000000000000ull,
    32000000000000ull,
    33000000000000ull,
    34000000000000ull,
    35000000000000ull,
    36000000000000ull,
    37000000000000ull,
    38000000000000ull,
    39000000000000ull,
    92000000000000ull,
    93000000000000ull,
    830000000000000ull,
    831000000000000ull,
    818000000000000ull,
    819000000000000ull,
    
    40000000000000ull,
    41000000000000ull,
    42000000000000ull,
    43000000000000ull,
    44000000000000ull,
    45000000000000ull,
    46000000000000ull,
    47000000000000ull,
    48000000000000ull,
    49000000000000ull,
    84000000000000ull,
    85000000000000ull,
    840000000000000ull,
    841000000000000ull,
    88000000000000ull,
    89000000000000ull,
    
    50000000000000ull,
    51000000000000ull,
    52000000000000ull,
    53000000000000ull,
    54000000000000ull,
    55000000000000ull,
    56000000000000ull,
    57000000000000ull,
    58000000000000ull,
    59000000000000ull,
    94000000000000ull,
    95000000000000ull,
    850000000000000ull,
    851000000000000ull,
    98000000000000ull,
    99000000000000ull,
    
    60000000000000ull,
    61000000000000ull,
    62000000000000ull,
    63000000000000ull,
    64000000000000ull,
    65000000000000ull,
    66000000000000ull,
    67000000000000ull,
    68000000000000ull,
    69000000000000ull,
    86000000000000ull,
    87000000000000ull,
    860000000000000ull,
    861000000000000ull,
    888000000000000ull,
    889000000000000ull,
    
    70000000000000ull,
    71000000000000ull,
    72000000000000ull,
    73000000000000ull,
    74000000000000ull,
    75000000000000ull,
    76000000000000ull,
    77000000000000ull,
    78000000000000ull,
    79000000000000ull,
    96000000000000ull,
    97000000000000ull,
    870000000000000ull,
    871000000000000ull,
    898000000000000ull,
    899000000000000ull,
    
    100000000000000ull,
    101000000000000ull,
    102000000000000ull,
    103000000000000ull,
    104000000000000ull,
    105000000000000ull,
    106000000000000ull,
    107000000000000ull,
    108000000000000ull,
    109000000000000ull,
    180000000000000ull,
    181000000000000ull,
    900000000000000ull,
    901000000000000ull,
    980000000000000ull,
    981000000000000ull,
    
    110000000000000ull,
    111000000000000ull,
    112000000000000ull,
    113000000000000ull,
    114000000000000ull,
    115000000000000ull,
    116000000000000ull,
    117000000000000ull,
    118000000000000ull,
    119000000000000ull,
    190000000000000ull,
    191000000000000ull,
    910000000000000ull,
    911000000000000ull,
    990000000000000ull,
    991000000000000ull,
    
    120000000000000ull,
    121000000000000ull,
    122000000000000ull,
    123000000000000ull,
    124000000000000ull,
    125000000000000ull,
    126000000000000ull,
    127000000000000ull,
    128000000000000ull,
    129000000000000ull,
    182000000000000ull,
    183000000000000ull,
    920000000000000ull,
    921000000000000ull,
    908000000000000ull,
    909000000000000ull,
    
    130000000000000ull,
    131000000000000ull,
    132000000000000ull,
    133000000000000ull,
    134000000000000ull,
    135000000000000ull,
    136000000000000ull,
    137000000000000ull,
    138000000000000ull,
    139000000000000ull,
    192000000000000ull,
    193000000000000ull,
    930000000000000ull,
    931000000000000ull,
    918000000000000ull,
    919000000000000ull,
    
    140000000000000ull,
    141000000000000ull,
    142000000000000ull,
    143000000000000ull,
    144000000000000ull,
    145000000000000ull,
    146000000000000ull,
    147000000000000ull,
    148000000000000ull,
    149000000000000ull,
    184000000000000ull,
    185000000000000ull,
    940000000000000ull,
    941000000000000ull,
    188000000000000ull,
    189000000000000ull,
    
    150000000000000ull,
    151000000000000ull,
    152000000000000ull,
    153000000000000ull,
    154000000000000ull,
    155000000000000ull,
    156000000000000ull,
    157000000000000ull,
    158000000000000ull,
    159000000000000ull,
    194000000000000ull,
    195000000000000ull,
    950000000000000ull,
    951000000000000ull,
    198000000000000ull,
    199000000000000ull,
    
    160000000000000ull,
    161000000000000ull,
    162000000000000ull,
    163000000000000ull,
    164000000000000ull,
    165000000000000ull,
    166000000000000ull,
    167000000000000ull,
    168000000000000ull,
    169000000000000ull,
    186000000000000ull,
    187000000000000ull,
    960000000000000ull,
    961000000000000ull,
    988000000000000ull,
    989000000000000ull,
    
    170000000000000ull,
    171000000000000ull,
    172000000000000ull,
    173000000000000ull,
    174000000000000ull,
    175000000000000ull,
    176000000000000ull,
    177000000000000ull,
    178000000000000ull,
    179000000000000ull,
    196000000000000ull,
    197000000000000ull,
    970000000000000ull,
    971000000000000ull,
    998000000000000ull,
    999000000000000ull,
    
    200000000000000ull,
    201000000000000ull,
    202000000000000ull,
    203000000000000ull,
    204000000000000ull,
    205000000000000ull,
    206000000000000ull,
    207000000000000ull,
    208000000000000ull,
    209000000000000ull,
    280000000000000ull,
    281000000000000ull,
    802000000000000ull,
    803000000000000ull,
    882000000000000ull,
    883000000000000ull,
    
    210000000000000ull,
    211000000000000ull,
    212000000000000ull,
    213000000000000ull,
    214000000000000ull,
    215000000000000ull,
    216000000000000ull,
    217000000000000ull,
    218000000000000ull,
    219000000000000ull,
    290000000000000ull,
    291000000000000ull,
    812000000000000ull,
    813000000000000ull,
    892000000000000ull,
    893000000000000ull,
    
    220000000000000ull,
    221000000000000ull,
    222000000000000ull,
    223000000000000ull,
    224000000000000ull,
    225000000000000ull,
    226000000000000ull,
    227000000000000ull,
    228000000000000ull,
    229000000000000ull,
    282000000000000ull,
    283000000000000ull,
    822000000000000ull,
    823000000000000ull,
    828000000000000ull,
    829000000000000ull,
    
    230000000000000ull,
    231000000000000ull,
    232000000000000ull,
    233000000000000ull,
    234000000000000ull,
    235000000000000ull,
    236000000000000ull,
    237000000000000ull,
    238000000000000ull,
    239000000000000ull,
    292000000000000ull,
    293000000000000ull,
    832000000000000ull,
    833000000000000ull,
    838000000000000ull,
    839000000000000ull,
    
    240000000000000ull,
    241000000000000ull,
    242000000000000ull,
    243000000000000ull,
    244000000000000ull,
    245000000000000ull,
    246000000000000ull,
    247000000000000ull,
    248000000000000ull,
    249000000000000ull,
    284000000000000ull,
    285000000000000ull,
    842000000000000ull,
    843000000000000ull,
    288000000000000ull,
    289000000000000ull,
    
    250000000000000ull,
    251000000000000ull,
    252000000000000ull,
    253000000000000ull,
    254000000000000ull,
    255000000000000ull,
    256000000000000ull,
    257000000000000ull,
    258000000000000ull,
    259000000000000ull,
    294000000000000ull,
    295000000000000ull,
    852000000000000ull,
    853000000000000ull,
    298000000000000ull,
    299000000000000ull,
    
    260000000000000ull,
    261000000000000ull,
    262000000000000ull,
    263000000000000ull,
    264000000000000ull,
    265000000000000ull,
    266000000000000ull,
    267000000000000ull,
    268000000000000ull,
    269000000000000ull,
    286000000000000ull,
    287000000000000ull,
    862000000000000ull,
    863000000000000ull,
    888000000000000ull,
    889000000000000ull,
    
    270000000000000ull,
    271000000000000ull,
    272000000000000ull,
    273000000000000ull,
    274000000000000ull,
    275000000000000ull,
    276000000000000ull,
    277000000000000ull,
    278000000000000ull,
    279000000000000ull,
    296000000000000ull,
    297000000000000ull,
    872000000000000ull,
    873000000000000ull,
    898000000000000ull,
    899000000000000ull,
    
    300000000000000ull,
    301000000000000ull,
    302000000000000ull,
    303000000000000ull,
    304000000000000ull,
    305000000000000ull,
    306000000000000ull,
    307000000000000ull,
    308000000000000ull,
    309000000000000ull,
    380000000000000ull,
    381000000000000ull,
    902000000000000ull,
    903000000000000ull,
    982000000000000ull,
    983000000000000ull,
    
    310000000000000ull,
    311000000000000ull,
    312000000000000ull,
    313000000000000ull,
    314000000000000ull,
    315000000000000ull,
    316000000000000ull,
    317000000000000ull,
    318000000000000ull,
    319000000000000ull,
    390000000000000ull,
    391000000000000ull,
    912000000000000ull,
    913000000000000ull,
    992000000000000ull,
    993000000000000ull,
    
    320000000000000ull,
    321000000000000ull,
    322000000000000ull,
    323000000000000ull,
    324000000000000ull,
    325000000000000ull,
    326000000000000ull,
    327000000000000ull,
    328000000000000ull,
    329000000000000ull,
    382000000000000ull,
    383000000000000ull,
    922000000000000ull,
    923000000000000ull,
    928000000000000ull,
    929000000000000ull,
    
    330000000000000ull,
    331000000000000ull,
    332000000000000ull,
    333000000000000ull,
    334000000000000ull,
    335000000000000ull,
    336000000000000ull,
    337000000000000ull,
    338000000000000ull,
    339000000000000ull,
    392000000000000ull,
    393000000000000ull,
    932000000000000ull,
    933000000000000ull,
    938000000000000ull,
    939000000000000ull,
    
    340000000000000ull,
    341000000000000ull,
    342000000000000ull,
    343000000000000ull,
    344000000000000ull,
    345000000000000ull,
    346000000000000ull,
    347000000000000ull,
    348000000000000ull,
    349000000000000ull,
    384000000000000ull,
    385000000000000ull,
    942000000000000ull,
    943000000000000ull,
    388000000000000ull,
    389000000000000ull,
    
    350000000000000ull,
    351000000000000ull,
    352000000000000ull,
    353000000000000ull,
    354000000000000ull,
    355000000000000ull,
    356000000000000ull,
    357000000000000ull,
    358000000000000ull,
    359000000000000ull,
    394000000000000ull,
    395000000000000ull,
    952000000000000ull,
    953000000000000ull,
    398000000000000ull,
    399000000000000ull,
    
    360000000000000ull,
    361000000000000ull,
    362000000000000ull,
    363000000000000ull,
    364000000000000ull,
    365000000000000ull,
    366000000000000ull,
    367000000000000ull,
    368000000000000ull,
    369000000000000ull,
    386000000000000ull,
    387000000000000ull,
    962000000000000ull,
    963000000000000ull,
    988000000000000ull,
    989000000000000ull,
    
    370000000000000ull,
    371000000000000ull,
    372000000000000ull,
    373000000000000ull,
    374000000000000ull,
    375000000000000ull,
    376000000000000ull,
    377000000000000ull,
    378000000000000ull,
    379000000000000ull,
    396000000000000ull,
    397000000000000ull,
    972000000000000ull,
    973000000000000ull,
    998000000000000ull,
    999000000000000ull,
    
    400000000000000ull,
    401000000000000ull,
    402000000000000ull,
    403000000000000ull,
    404000000000000ull,
    405000000000000ull,
    406000000000000ull,
    407000000000000ull,
    408000000000000ull,
    409000000000000ull,
    480000000000000ull,
    481000000000000ull,
    804000000000000ull,
    805000000000000ull,
    884000000000000ull,
    885000000000000ull,
    
    410000000000000ull,
    411000000000000ull,
    412000000000000ull,
    413000000000000ull,
    414000000000000ull,
    415000000000000ull,
    416000000000000ull,
    417000000000000ull,
    418000000000000ull,
    419000000000000ull,
    490000000000000ull,
    491000000000000ull,
    814000000000000ull,
    815000000000000ull,
    894000000000000ull,
    895000000000000ull,
    
    420000000000000ull,
    421000000000000ull,
    422000000000000ull,
    423000000000000ull,
    424000000000000ull,
    425000000000000ull,
    426000000000000ull,
    427000000000000ull,
    428000000000000ull,
    429000000000000ull,
    482000000000000ull,
    483000000000000ull,
    824000000000000ull,
    825000000000000ull,
    848000000000000ull,
    849000000000000ull,
    
    430000000000000ull,
    431000000000000ull,
    432000000000000ull,
    433000000000000ull,
    434000000000000ull,
    435000000000000ull,
    436000000000000ull,
    437000000000000ull,
    438000000000000ull,
    439000000000000ull,
    492000000000000ull,
    493000000000000ull,
    834000000000000ull,
    835000000000000ull,
    858000000000000ull,
    859000000000000ull,
    
    440000000000000ull,
    441000000000000ull,
    442000000000000ull,
    443000000000000ull,
    444000000000000ull,
    445000000000000ull,
    446000000000000ull,
    447000000000000ull,
    448000000000000ull,
    449000000000000ull,
    484000000000000ull,
    485000000000000ull,
    844000000000000ull,
    845000000000000ull,
    488000000000000ull,
    489000000000000ull,
    
    450000000000000ull,
    451000000000000ull,
    452000000000000ull,
    453000000000000ull,
    454000000000000ull,
    455000000000000ull,
    456000000000000ull,
    457000000000000ull,
    458000000000000ull,
    459000000000000ull,
    494000000000000ull,
    495000000000000ull,
    854000000000000ull,
    855000000000000ull,
    498000000000000ull,
    499000000000000ull,
    
    460000000000000ull,
    461000000000000ull,
    462000000000000ull,
    463000000000000ull,
    464000000000000ull,
    465000000000000ull,
    466000000000000ull,
    467000000000000ull,
    468000000000000ull,
    469000000000000ull,
    486000000000000ull,
    487000000000000ull,
    864000000000000ull,
    865000000000000ull,
    888000000000000ull,
    889000000000000ull,
    
    470000000000000ull,
    471000000000000ull,
    472000000000000ull,
    473000000000000ull,
    474000000000000ull,
    475000000000000ull,
    476000000000000ull,
    477000000000000ull,
    478000000000000ull,
    479000000000000ull,
    496000000000000ull,
    497000000000000ull,
    874000000000000ull,
    875000000000000ull,
    898000000000000ull,
    899000000000000ull,
    
    500000000000000ull,
    501000000000000ull,
    502000000000000ull,
    503000000000000ull,
    504000000000000ull,
    505000000000000ull,
    506000000000000ull,
    507000000000000ull,
    508000000000000ull,
    509000000000000ull,
    580000000000000ull,
    581000000000000ull,
    904000000000000ull,
    905000000000000ull,
    984000000000000ull,
    985000000000000ull,
    
    510000000000000ull,
    511000000000000ull,
    512000000000000ull,
    513000000000000ull,
    514000000000000ull,
    515000000000000ull,
    516000000000000ull,
    517000000000000ull,
    518000000000000ull,
    519000000000000ull,
    590000000000000ull,
    591000000000000ull,
    914000000000000ull,
    915000000000000ull,
    994000000000000ull,
    995000000000000ull,
    
    520000000000000ull,
    521000000000000ull,
    522000000000000ull,
    523000000000000ull,
    524000000000000ull,
    525000000000000ull,
    526000000000000ull,
    527000000000000ull,
    528000000000000ull,
    529000000000000ull,
    582000000000000ull,
    583000000000000ull,
    924000000000000ull,
    925000000000000ull,
    948000000000000ull,
    949000000000000ull,
    
    530000000000000ull,
    531000000000000ull,
    532000000000000ull,
    533000000000000ull,
    534000000000000ull,
    535000000000000ull,
    536000000000000ull,
    537000000000000ull,
    538000000000000ull,
    539000000000000ull,
    592000000000000ull,
    593000000000000ull,
    934000000000000ull,
    935000000000000ull,
    958000000000000ull,
    959000000000000ull,
    
    540000000000000ull,
    541000000000000ull,
    542000000000000ull,
    543000000000000ull,
    544000000000000ull,
    545000000000000ull,
    546000000000000ull,
    547000000000000ull,
    548000000000000ull,
    549000000000000ull,
    584000000000000ull,
    585000000000000ull,
    944000000000000ull,
    945000000000000ull,
    588000000000000ull,
    589000000000000ull,
    
    550000000000000ull,
    551000000000000ull,
    552000000000000ull,
    553000000000000ull,
    554000000000000ull,
    555000000000000ull,
    556000000000000ull,
    557000000000000ull,
    558000000000000ull,
    559000000000000ull,
    594000000000000ull,
    595000000000000ull,
    954000000000000ull,
    955000000000000ull,
    598000000000000ull,
    599000000000000ull,
    
    560000000000000ull,
    561000000000000ull,
    562000000000000ull,
    563000000000000ull,
    564000000000000ull,
    565000000000000ull,
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    570000000000000ull,
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    600000000000000ull,
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    630000000000000ull,
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    720000000000000ull,
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    740000000000000ull,
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    760000000000000ull,
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    770000000000000ull,
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    779000000000000ull,
    796000000000000ull,
    797000000000000ull,
    976000000000000ull,
    977000000000000ull,
    998000000000000ull,
    999000000000000ull 
};

static const UINT64 d2b6[] = {  
    0000000000000000ull,
    1000000000000000ull,
    2000000000000000ull,
    3000000000000000ull,
    4000000000000000ull,
    5000000000000000ull,
    6000000000000000ull,
    7000000000000000ull,
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    9000000000000000ull,
    80000000000000000ull,
    81000000000000000ull,
    800000000000000000ull,
    801000000000000000ull,
    880000000000000000ull,
    881000000000000000ull,
    
    10000000000000000ull,
    11000000000000000ull,
    12000000000000000ull,
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    15000000000000000ull,
    16000000000000000ull,
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    18000000000000000ull,
    19000000000000000ull,
    90000000000000000ull,
    91000000000000000ull,
    810000000000000000ull,
    811000000000000000ull,
    890000000000000000ull,
    891000000000000000ull,
    
    20000000000000000ull,
    21000000000000000ull,
    22000000000000000ull,
    23000000000000000ull,
    24000000000000000ull,
    25000000000000000ull,
    26000000000000000ull,
    27000000000000000ull,
    28000000000000000ull,
    29000000000000000ull,
    82000000000000000ull,
    83000000000000000ull,
    820000000000000000ull,
    821000000000000000ull,
    808000000000000000ull,
    809000000000000000ull,
    
    30000000000000000ull,
    31000000000000000ull,
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    93000000000000000ull,
    830000000000000000ull,
    831000000000000000ull,
    818000000000000000ull,
    819000000000000000ull,
    
    40000000000000000ull,
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    50000000000000000ull,
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    60000000000000000ull,
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    889000000000000000ull,
    
    70000000000000000ull,
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    899000000000000000ull,
    
    100000000000000000ull,
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    110000000000000000ull,
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    120000000000000000ull,
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    182000000000000000ull,
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    130000000000000000ull,
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    140000000000000000ull,
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    940000000000000000ull,
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    150000000000000000ull,
    151000000000000000ull,
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    160000000000000000ull,
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    989000000000000000ull,
    
    170000000000000000ull,
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    210000000000000000ull,
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    220000000000000000ull,
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    829000000000000000ull,
    
    230000000000000000ull,
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    839000000000000000ull,
    
    240000000000000000ull,
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    244000000000000000ull,
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    285000000000000000ull,
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    288000000000000000ull,
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    250000000000000000ull,
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    299000000000000000ull,
    
    260000000000000000ull,
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    263000000000000000ull,
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    286000000000000000ull,
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    889000000000000000ull,
    
    270000000000000000ull,
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    309000000000000000ull,
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    982000000000000000ull,
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    310000000000000000ull,
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    390000000000000000ull,
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    320000000000000000ull,
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    330000000000000000ull,
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    340000000000000000ull,
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    384000000000000000ull,
    385000000000000000ull,
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    388000000000000000ull,
    389000000000000000ull,
    
    350000000000000000ull,
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    360000000000000000ull,
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    962000000000000000ull,
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    989000000000000000ull,
    
    370000000000000000ull,
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    396000000000000000ull,
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    972000000000000000ull,
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    400000000000000000ull,
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    480000000000000000ull,
    481000000000000000ull,
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    884000000000000000ull,
    885000000000000000ull,
    
    410000000000000000ull,
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    490000000000000000ull,
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    420000000000000000ull,
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    424000000000000000ull,
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    430000000000000000ull,
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    440000000000000000ull,
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    489000000000000000ull,
    
    450000000000000000ull,
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    460000000000000000ull,
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    865000000000000000ull,
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    889000000000000000ull,
    
    470000000000000000ull,
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    899000000000000000ull,
    
    500000000000000000ull,
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    510000000000000000ull,
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    512000000000000000ull,
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    590000000000000000ull,
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    520000000000000000ull,
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    949000000000000000ull,
    
    530000000000000000ull,
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    540000000000000000ull,
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    544000000000000000ull,
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    547000000000000000ull,
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    549000000000000000ull,
    584000000000000000ull,
    585000000000000000ull,
    944000000000000000ull,
    945000000000000000ull,
    588000000000000000ull,
    589000000000000000ull,
    
    550000000000000000ull,
    551000000000000000ull,
    552000000000000000ull,
    553000000000000000ull,
    554000000000000000ull,
    555000000000000000ull,
    556000000000000000ull,
    557000000000000000ull,
    558000000000000000ull,
    559000000000000000ull,
    594000000000000000ull,
    595000000000000000ull,
    954000000000000000ull,
    955000000000000000ull,
    598000000000000000ull,
    599000000000000000ull,
    
    560000000000000000ull,
    561000000000000000ull,
    562000000000000000ull,
    563000000000000000ull,
    564000000000000000ull,
    565000000000000000ull,
    566000000000000000ull,
    567000000000000000ull,
    568000000000000000ull,
    569000000000000000ull,
    586000000000000000ull,
    587000000000000000ull,
    964000000000000000ull,
    965000000000000000ull,
    988000000000000000ull,
    989000000000000000ull,
    
    570000000000000000ull,
    571000000000000000ull,
    572000000000000000ull,
    573000000000000000ull,
    574000000000000000ull,
    575000000000000000ull,
    576000000000000000ull,
    577000000000000000ull,
    578000000000000000ull,
    579000000000000000ull,
    596000000000000000ull,
    597000000000000000ull,
    974000000000000000ull,
    975000000000000000ull,
    998000000000000000ull,
    999000000000000000ull,
    
    600000000000000000ull,
    601000000000000000ull,
    602000000000000000ull,
    603000000000000000ull,
    604000000000000000ull,
    605000000000000000ull,
    606000000000000000ull,
    607000000000000000ull,
    608000000000000000ull,
    609000000000000000ull,
    680000000000000000ull,
    681000000000000000ull,
    806000000000000000ull,
    807000000000000000ull,
    886000000000000000ull,
    887000000000000000ull,
    
    610000000000000000ull,
    611000000000000000ull,
    612000000000000000ull,
    613000000000000000ull,
    614000000000000000ull,
    615000000000000000ull,
    616000000000000000ull,
    617000000000000000ull,
    618000000000000000ull,
    619000000000000000ull,
    690000000000000000ull,
    691000000000000000ull,
    816000000000000000ull,
    817000000000000000ull,
    896000000000000000ull,
    897000000000000000ull,
    
    620000000000000000ull,
    621000000000000000ull,
    622000000000000000ull,
    623000000000000000ull,
    624000000000000000ull,
    625000000000000000ull,
    626000000000000000ull,
    627000000000000000ull,
    628000000000000000ull,
    629000000000000000ull,
    682000000000000000ull,
    683000000000000000ull,
    826000000000000000ull,
    827000000000000000ull,
    868000000000000000ull,
    869000000000000000ull,
    
    630000000000000000ull,
    631000000000000000ull,
    632000000000000000ull,
    633000000000000000ull,
    634000000000000000ull,
    635000000000000000ull,
    636000000000000000ull,
    637000000000000000ull,
    638000000000000000ull,
    639000000000000000ull,
    692000000000000000ull,
    693000000000000000ull,
    836000000000000000ull,
    837000000000000000ull,
    878000000000000000ull,
    879000000000000000ull,
    
    640000000000000000ull,
    641000000000000000ull,
    642000000000000000ull,
    643000000000000000ull,
    644000000000000000ull,
    645000000000000000ull,
    646000000000000000ull,
    647000000000000000ull,
    648000000000000000ull,
    649000000000000000ull,
    684000000000000000ull,
    685000000000000000ull,
    846000000000000000ull,
    847000000000000000ull,
    688000000000000000ull,
    689000000000000000ull,
    
    650000000000000000ull,
    651000000000000000ull,
    652000000000000000ull,
    653000000000000000ull,
    654000000000000000ull,
    655000000000000000ull,
    656000000000000000ull,
    657000000000000000ull,
    658000000000000000ull,
    659000000000000000ull,
    694000000000000000ull,
    695000000000000000ull,
    856000000000000000ull,
    857000000000000000ull,
    698000000000000000ull,
    699000000000000000ull,
    
    660000000000000000ull,
    661000000000000000ull,
    662000000000000000ull,
    663000000000000000ull,
    664000000000000000ull,
    665000000000000000ull,
    666000000000000000ull,
    667000000000000000ull,
    668000000000000000ull,
    669000000000000000ull,
    686000000000000000ull,
    687000000000000000ull,
    866000000000000000ull,
    867000000000000000ull,
    888000000000000000ull,
    889000000000000000ull,
    
    670000000000000000ull,
    671000000000000000ull,
    672000000000000000ull,
    673000000000000000ull,
    674000000000000000ull,
    675000000000000000ull,
    676000000000000000ull,
    677000000000000000ull,
    678000000000000000ull,
    679000000000000000ull,
    696000000000000000ull,
    697000000000000000ull,
    876000000000000000ull,
    877000000000000000ull,
    898000000000000000ull,
    899000000000000000ull,
    
    700000000000000000ull,
    701000000000000000ull,
    702000000000000000ull,
    703000000000000000ull,
    704000000000000000ull,
    705000000000000000ull,
    706000000000000000ull,
    707000000000000000ull,
    708000000000000000ull,
    709000000000000000ull,
    780000000000000000ull,
    781000000000000000ull,
    906000000000000000ull,
    907000000000000000ull,
    986000000000000000ull,
    987000000000000000ull,
    
    710000000000000000ull,
    711000000000000000ull,
    712000000000000000ull,
    713000000000000000ull,
    714000000000000000ull,
    715000000000000000ull,
    716000000000000000ull,
    717000000000000000ull,
    718000000000000000ull,
    719000000000000000ull,
    790000000000000000ull,
    791000000000000000ull,
    916000000000000000ull,
    917000000000000000ull,
    996000000000000000ull,
    997000000000000000ull,
    
    720000000000000000ull,
    721000000000000000ull,
    722000000000000000ull,
    723000000000000000ull,
    724000000000000000ull,
    725000000000000000ull,
    726000000000000000ull,
    727000000000000000ull,
    728000000000000000ull,
    729000000000000000ull,
    782000000000000000ull,
    783000000000000000ull,
    926000000000000000ull,
    927000000000000000ull,
    968000000000000000ull,
    969000000000000000ull,
    
    730000000000000000ull,
    731000000000000000ull,
    732000000000000000ull,
    733000000000000000ull,
    734000000000000000ull,
    735000000000000000ull,
    736000000000000000ull,
    737000000000000000ull,
    738000000000000000ull,
    739000000000000000ull,
    792000000000000000ull,
    793000000000000000ull,
    936000000000000000ull,
    937000000000000000ull,
    978000000000000000ull,
    979000000000000000ull,
    
    740000000000000000ull,
    741000000000000000ull,
    742000000000000000ull,
    743000000000000000ull,
    744000000000000000ull,
    745000000000000000ull,
    746000000000000000ull,
    747000000000000000ull,
    748000000000000000ull,
    749000000000000000ull,
    784000000000000000ull,
    785000000000000000ull,
    946000000000000000ull,
    947000000000000000ull,
    788000000000000000ull,
    789000000000000000ull,
    
    750000000000000000ull,
    751000000000000000ull,
    752000000000000000ull,
    753000000000000000ull,
    754000000000000000ull,
    755000000000000000ull,
    756000000000000000ull,
    757000000000000000ull,
    758000000000000000ull,
    759000000000000000ull,
    794000000000000000ull,
    795000000000000000ull,
    956000000000000000ull,
    957000000000000000ull,
    798000000000000000ull,
    799000000000000000ull,
    
    760000000000000000ull,
    761000000000000000ull,
    762000000000000000ull,
    763000000000000000ull,
    764000000000000000ull,
    765000000000000000ull,
    766000000000000000ull,
    767000000000000000ull,
    768000000000000000ull,
    769000000000000000ull,
    786000000000000000ull,
    787000000000000000ull,
    966000000000000000ull,
    967000000000000000ull,
    988000000000000000ull,
    989000000000000000ull,
    
    770000000000000000ull,
    771000000000000000ull,
    772000000000000000ull,
    773000000000000000ull,
    774000000000000000ull,
    775000000000000000ull,
    776000000000000000ull,
    777000000000000000ull,
    778000000000000000ull,
    779000000000000000ull,
    796000000000000000ull,
    797000000000000000ull,
    976000000000000000ull,
    977000000000000000ull,
    998000000000000000ull,
    999000000000000000ull 
};

static const UINT64 b2d[] = {
    0x000ull,
    0x001ull,
    0x002ull,
    0x003ull,
    0x004ull,
    0x005ull,
    0x006ull,
    0x007ull,
    0x008ull,
    0x009ull,

    0x010ull,
    0x011ull,
    0x012ull,
    0x013ull,
    0x014ull,
    0x015ull,
    0x016ull,
    0x017ull,
    0x018ull,
    0x019ull,

    0x020ull,
    0x021ull,
    0x022ull,
    0x023ull,
    0x024ull,
    0x025ull,
    0x026ull,
    0x027ull,
    0x028ull,
    0x029ull,

    0x030ull,
    0x031ull,
    0x032ull,
    0x033ull,
    0x034ull,
    0x035ull,
    0x036ull,
    0x037ull,
    0x038ull,
    0x039ull,

    0x040ull,
    0x041ull,
    0x042ull,
    0x043ull,
    0x044ull,
    0x045ull,
    0x046ull,
    0x047ull,
    0x048ull,
    0x049ull,

    0x050ull,
    0x051ull,
    0x052ull,
    0x053ull,
    0x054ull,
    0x055ull,
    0x056ull,
    0x057ull,
    0x058ull,
    0x059ull,

    0x060ull,
    0x061ull,
    0x062ull,
    0x063ull,
    0x064ull,
    0x065ull,
    0x066ull,
    0x067ull,
    0x068ull,
    0x069ull,

    0x070ull,
    0x071ull,
    0x072ull,
    0x073ull,
    0x074ull,
    0x075ull,
    0x076ull,
    0x077ull,
    0x078ull,
    0x079ull,

    0x00aull,
    0x00bull,
    0x02aull,
    0x02bull,
    0x04aull,
    0x04bull,
    0x06aull,
    0x06bull,
    0x04eull,
    0x04full,

    0x01aull,
    0x01bull,
    0x03aull,
    0x03bull,
    0x05aull,
    0x05bull,
    0x07aull,
    0x07bull,
    0x05eull,
    0x05full,

    0x080ull,
    0x081ull,
    0x082ull,
    0x083ull,
    0x084ull,
    0x085ull,
    0x086ull,
    0x087ull,
    0x088ull,
    0x089ull,

    0x090ull,
    0x091ull,
    0x092ull,
    0x093ull,
    0x094ull,
    0x095ull,
    0x096ull,
    0x097ull,
    0x098ull,
    0x099ull,

    0x0a0ull,
    0x0a1ull,
    0x0a2ull,
    0x0a3ull,
    0x0a4ull,
    0x0a5ull,
    0x0a6ull,
    0x0a7ull,
    0x0a8ull,
    0x0a9ull,

    0x0b0ull,
    0x0b1ull,
    0x0b2ull,
    0x0b3ull,
    0x0b4ull,
    0x0b5ull,
    0x0b6ull,
    0x0b7ull,
    0x0b8ull,
    0x0b9ull,

    0x0c0ull,
    0x0c1ull,
    0x0c2ull,
    0x0c3ull,
    0x0c4ull,
    0x0c5ull,
    0x0c6ull,
    0x0c7ull,
    0x0c8ull,
    0x0c9ull,

    0x0d0ull,
    0x0d1ull,
    0x0d2ull,
    0x0d3ull,
    0x0d4ull,
    0x0d5ull,
    0x0d6ull,
    0x0d7ull,
    0x0d8ull,
    0x0d9ull,

    0x0e0ull,
    0x0e1ull,
    0x0e2ull,
    0x0e3ull,
    0x0e4ull,
    0x0e5ull,
    0x0e6ull,
    0x0e7ull,
    0x0e8ull,
    0x0e9ull,

    0x0f0ull,
    0x0f1ull,
    0x0f2ull,
    0x0f3ull,
    0x0f4ull,
    0x0f5ull,
    0x0f6ull,
    0x0f7ull,
    0x0f8ull,
    0x0f9ull,

    0x08aull,
    0x08bull,
    0x0aaull,
    0x0abull,
    0x0caull,
    0x0cbull,
    0x0eaull,
    0x0ebull,
    0x0ceull,
    0x0cfull,

    0x09aull,
    0x09bull,
    0x0baull,
    0x0bbull,
    0x0daull,
    0x0dbull,
    0x0faull,
    0x0fbull,
    0x0deull,
    0x0dfull,

    0x100ull,
    0x101ull,
    0x102ull,
    0x103ull,
    0x104ull,
    0x105ull,
    0x106ull,
    0x107ull,
    0x108ull,
    0x109ull,

    0x110ull,
    0x111ull,
    0x112ull,
    0x113ull,
    0x114ull,
    0x115ull,
    0x116ull,
    0x117ull,
    0x118ull,
    0x119ull,

    0x120ull,
    0x121ull,
    0x122ull,
    0x123ull,
    0x124ull,
    0x125ull,
    0x126ull,
    0x127ull,
    0x128ull,
    0x129ull,

    0x130ull,
    0x131ull,
    0x132ull,
    0x133ull,
    0x134ull,
    0x135ull,
    0x136ull,
    0x137ull,
    0x138ull,
    0x139ull,

    0x140ull,
    0x141ull,
    0x142ull,
    0x143ull,
    0x144ull,
    0x145ull,
    0x146ull,
    0x147ull,
    0x148ull,
    0x149ull,

    0x150ull,
    0x151ull,
    0x152ull,
    0x153ull,
    0x154ull,
    0x155ull,
    0x156ull,
    0x157ull,
    0x158ull,
    0x159ull,

    0x160ull,
    0x161ull,
    0x162ull,
    0x163ull,
    0x164ull,
    0x165ull,
    0x166ull,
    0x167ull,
    0x168ull,
    0x169ull,

    0x170ull,
    0x171ull,
    0x172ull,
    0x173ull,
    0x174ull,
    0x175ull,
    0x176ull,
    0x177ull,
    0x178ull,
    0x179ull,

    0x10aull,
    0x10bull,
    0x12aull,
    0x12bull,
    0x14aull,
    0x14bull,
    0x16aull,
    0x16bull,
    0x14eull,
    0x14full,

    0x11aull,
    0x11bull,
    0x13aull,
    0x13bull,
    0x15aull,
    0x15bull,
    0x17aull,
    0x17bull,
    0x15eull,
    0x15full,

    0x180ull,
    0x181ull,
    0x182ull,
    0x183ull,
    0x184ull,
    0x185ull,
    0x186ull,
    0x187ull,
    0x188ull,
    0x189ull,

    0x190ull,
    0x191ull,
    0x192ull,
    0x193ull,
    0x194ull,
    0x195ull,
    0x196ull,
    0x197ull,
    0x198ull,
    0x199ull,

    0x1a0ull,
    0x1a1ull,
    0x1a2ull,
    0x1a3ull,
    0x1a4ull,
    0x1a5ull,
    0x1a6ull,
    0x1a7ull,
    0x1a8ull,
    0x1a9ull,

    0x1b0ull,
    0x1b1ull,
    0x1b2ull,
    0x1b3ull,
    0x1b4ull,
    0x1b5ull,
    0x1b6ull,
    0x1b7ull,
    0x1b8ull,
    0x1b9ull,

    0x1c0ull,
    0x1c1ull,
    0x1c2ull,
    0x1c3ull,
    0x1c4ull,
    0x1c5ull,
    0x1c6ull,
    0x1c7ull,
    0x1c8ull,
    0x1c9ull,

    0x1d0ull,
    0x1d1ull,
    0x1d2ull,
    0x1d3ull,
    0x1d4ull,
    0x1d5ull,
    0x1d6ull,
    0x1d7ull,
    0x1d8ull,
    0x1d9ull,

    0x1e0ull,
    0x1e1ull,
    0x1e2ull,
    0x1e3ull,
    0x1e4ull,
    0x1e5ull,
    0x1e6ull,
    0x1e7ull,
    0x1e8ull,
    0x1e9ull,

    0x1f0ull,
    0x1f1ull,
    0x1f2ull,
    0x1f3ull,
    0x1f4ull,
    0x1f5ull,
    0x1f6ull,
    0x1f7ull,
    0x1f8ull,
    0x1f9ull,

    0x18aull,
    0x18bull,
    0x1aaull,
    0x1abull,
    0x1caull,
    0x1cbull,
    0x1eaull,
    0x1ebull,
    0x1ceull,
    0x1cfull,

    0x19aull,
    0x19bull,
    0x1baull,
    0x1bbull,
    0x1daull,
    0x1dbull,
    0x1faull,
    0x1fbull,
    0x1deull,
    0x1dfull,

    0x200ull,
    0x201ull,
    0x202ull,
    0x203ull,
    0x204ull,
    0x205ull,
    0x206ull,
    0x207ull,
    0x208ull,
    0x209ull,

    0x210ull,
    0x211ull,
    0x212ull,
    0x213ull,
    0x214ull,
    0x215ull,
    0x216ull,
    0x217ull,
    0x218ull,
    0x219ull,

    0x220ull,
    0x221ull,
    0x222ull,
    0x223ull,
    0x224ull,
    0x225ull,
    0x226ull,
    0x227ull,
    0x228ull,
    0x229ull,

    0x230ull,
    0x231ull,
    0x232ull,
    0x233ull,
    0x234ull,
    0x235ull,
    0x236ull,
    0x237ull,
    0x238ull,
    0x239ull,

    0x240ull,
    0x241ull,
    0x242ull,
    0x243ull,
    0x244ull,
    0x245ull,
    0x246ull,
    0x247ull,
    0x248ull,
    0x249ull,

    0x250ull,
    0x251ull,
    0x252ull,
    0x253ull,
    0x254ull,
    0x255ull,
    0x256ull,
    0x257ull,
    0x258ull,
    0x259ull,

    0x260ull,
    0x261ull,
    0x262ull,
    0x263ull,
    0x264ull,
    0x265ull,
    0x266ull,
    0x267ull,
    0x268ull,
    0x269ull,

    0x270ull,
    0x271ull,
    0x272ull,
    0x273ull,
    0x274ull,
    0x275ull,
    0x276ull,
    0x277ull,
    0x278ull,
    0x279ull,

    0x20aull,
    0x20bull,
    0x22aull,
    0x22bull,
    0x24aull,
    0x24bull,
    0x26aull,
    0x26bull,
    0x24eull,
    0x24full,

    0x21aull,
    0x21bull,
    0x23aull,
    0x23bull,
    0x25aull,
    0x25bull,
    0x27aull,
    0x27bull,
    0x25eull,
    0x25full,

    0x280ull,
    0x281ull,
    0x282ull,
    0x283ull,
    0x284ull,
    0x285ull,
    0x286ull,
    0x287ull,
    0x288ull,
    0x289ull,

    0x290ull,
    0x291ull,
    0x292ull,
    0x293ull,
    0x294ull,
    0x295ull,
    0x296ull,
    0x297ull,
    0x298ull,
    0x299ull,

    0x2a0ull,
    0x2a1ull,
    0x2a2ull,
    0x2a3ull,
    0x2a4ull,
    0x2a5ull,
    0x2a6ull,
    0x2a7ull,
    0x2a8ull,
    0x2a9ull,

    0x2b0ull,
    0x2b1ull,
    0x2b2ull,
    0x2b3ull,
    0x2b4ull,
    0x2b5ull,
    0x2b6ull,
    0x2b7ull,
    0x2b8ull,
    0x2b9ull,

    0x2c0ull,
    0x2c1ull,
    0x2c2ull,
    0x2c3ull,
    0x2c4ull,
    0x2c5ull,
    0x2c6ull,
    0x2c7ull,
    0x2c8ull,
    0x2c9ull,

    0x2d0ull,
    0x2d1ull,
    0x2d2ull,
    0x2d3ull,
    0x2d4ull,
    0x2d5ull,
    0x2d6ull,
    0x2d7ull,
    0x2d8ull,
    0x2d9ull,

    0x2e0ull,
    0x2e1ull,
    0x2e2ull,
    0x2e3ull,
    0x2e4ull,
    0x2e5ull,
    0x2e6ull,
    0x2e7ull,
    0x2e8ull,
    0x2e9ull,

    0x2f0ull,
    0x2f1ull,
    0x2f2ull,
    0x2f3ull,
    0x2f4ull,
    0x2f5ull,
    0x2f6ull,
    0x2f7ull,
    0x2f8ull,
    0x2f9ull,

    0x28aull,
    0x28bull,
    0x2aaull,
    0x2abull,
    0x2caull,
    0x2cbull,
    0x2eaull,
    0x2ebull,
    0x2ceull,
    0x2cfull,

    0x29aull,
    0x29bull,
    0x2baull,
    0x2bbull,
    0x2daull,
    0x2dbull,
    0x2faull,
    0x2fbull,
    0x2deull,
    0x2dfull,

    0x300ull,
    0x301ull,
    0x302ull,
    0x303ull,
    0x304ull,
    0x305ull,
    0x306ull,
    0x307ull,
    0x308ull,
    0x309ull,

    0x310ull,
    0x311ull,
    0x312ull,
    0x313ull,
    0x314ull,
    0x315ull,
    0x316ull,
    0x317ull,
    0x318ull,
    0x319ull,

    0x320ull,
    0x321ull,
    0x322ull,
    0x323ull,
    0x324ull,
    0x325ull,
    0x326ull,
    0x327ull,
    0x328ull,
    0x329ull,

    0x330ull,
    0x331ull,
    0x332ull,
    0x333ull,
    0x334ull,
    0x335ull,
    0x336ull,
    0x337ull,
    0x338ull,
    0x339ull,

    0x340ull,
    0x341ull,
    0x342ull,
    0x343ull,
    0x344ull,
    0x345ull,
    0x346ull,
    0x347ull,
    0x348ull,
    0x349ull,

    0x350ull,
    0x351ull,
    0x352ull,
    0x353ull,
    0x354ull,
    0x355ull,
    0x356ull,
    0x357ull,
    0x358ull,
    0x359ull,

    0x360ull,
    0x361ull,
    0x362ull,
    0x363ull,
    0x364ull,
    0x365ull,
    0x366ull,
    0x367ull,
    0x368ull,
    0x369ull,

    0x370ull,
    0x371ull,
    0x372ull,
    0x373ull,
    0x374ull,
    0x375ull,
    0x376ull,
    0x377ull,
    0x378ull,
    0x379ull,

    0x30aull,
    0x30bull,
    0x32aull,
    0x32bull,
    0x34aull,
    0x34bull,
    0x36aull,
    0x36bull,
    0x34eull,
    0x34full,

    0x31aull,
    0x31bull,
    0x33aull,
    0x33bull,
    0x35aull,
    0x35bull,
    0x37aull,
    0x37bull,
    0x35eull,
    0x35full,

    0x380ull,
    0x381ull,
    0x382ull,
    0x383ull,
    0x384ull,
    0x385ull,
    0x386ull,
    0x387ull,
    0x388ull,
    0x389ull,

    0x390ull,
    0x391ull,
    0x392ull,
    0x393ull,
    0x394ull,
    0x395ull,
    0x396ull,
    0x397ull,
    0x398ull,
    0x399ull,

    0x3a0ull,
    0x3a1ull,
    0x3a2ull,
    0x3a3ull,
    0x3a4ull,
    0x3a5ull,
    0x3a6ull,
    0x3a7ull,
    0x3a8ull,
    0x3a9ull,

    0x3b0ull,
    0x3b1ull,
    0x3b2ull,
    0x3b3ull,
    0x3b4ull,
    0x3b5ull,
    0x3b6ull,
    0x3b7ull,
    0x3b8ull,
    0x3b9ull,

    0x3c0ull,
    0x3c1ull,
    0x3c2ull,
    0x3c3ull,
    0x3c4ull,
    0x3c5ull,
    0x3c6ull,
    0x3c7ull,
    0x3c8ull,
    0x3c9ull,

    0x3d0ull,
    0x3d1ull,
    0x3d2ull,
    0x3d3ull,
    0x3d4ull,
    0x3d5ull,
    0x3d6ull,
    0x3d7ull,
    0x3d8ull,
    0x3d9ull,

    0x3e0ull,
    0x3e1ull,
    0x3e2ull,
    0x3e3ull,
    0x3e4ull,
    0x3e5ull,
    0x3e6ull,
    0x3e7ull,
    0x3e8ull,
    0x3e9ull,

    0x3f0ull,
    0x3f1ull,
    0x3f2ull,
    0x3f3ull,
    0x3f4ull,
    0x3f5ull,
    0x3f6ull,
    0x3f7ull,
    0x3f8ull,
    0x3f9ull,

    0x38aull,
    0x38bull,
    0x3aaull,
    0x3abull,
    0x3caull,
    0x3cbull,
    0x3eaull,
    0x3ebull,
    0x3ceull,
    0x3cfull,

    0x39aull,
    0x39bull,
    0x3baull,
    0x3bbull,
    0x3daull,
    0x3dbull,
    0x3faull,
    0x3fbull,
    0x3deull,
    0x3dfull,

    0x00cull,
    0x00dull,
    0x10cull,
    0x10dull,
    0x20cull,
    0x20dull,
    0x30cull,
    0x30dull,
    0x02eull,
    0x02full,

    0x01cull,
    0x01dull,
    0x11cull,
    0x11dull,
    0x21cull,
    0x21dull,
    0x31cull,
    0x31dull,
    0x03eull,
    0x03full,

    0x02cull,
    0x02dull,
    0x12cull,
    0x12dull,
    0x22cull,
    0x22dull,
    0x32cull,
    0x32dull,
    0x12eull,
    0x12full,

    0x03cull,
    0x03dull,
    0x13cull,
    0x13dull,
    0x23cull,
    0x23dull,
    0x33cull,
    0x33dull,
    0x13eull,
    0x13full,

    0x04cull,
    0x04dull,
    0x14cull,
    0x14dull,
    0x24cull,
    0x24dull,
    0x34cull,
    0x34dull,
    0x22eull,
    0x22full,

    0x05cull,
    0x05dull,
    0x15cull,
    0x15dull,
    0x25cull,
    0x25dull,
    0x35cull,
    0x35dull,
    0x23eull,
    0x23full,

    0x06cull,
    0x06dull,
    0x16cull,
    0x16dull,
    0x26cull,
    0x26dull,
    0x36cull,
    0x36dull,
    0x32eull,
    0x32full,

    0x07cull,
    0x07dull,
    0x17cull,
    0x17dull,
    0x27cull,
    0x27dull,
    0x37cull,
    0x37dull,
    0x33eull,
    0x33full,

    0x00eull,
    0x00full,
    0x10eull,
    0x10full,
    0x20eull,
    0x20full,
    0x30eull,
    0x30full,
    0x06eull,
    0x06full,

    0x01eull,
    0x01full,
    0x11eull,
    0x11full,
    0x21eull,
    0x21full,
    0x31eull,
    0x31full,
    0x07eull,
    0x07full,

    0x08cull,
    0x08dull,
    0x18cull,
    0x18dull,
    0x28cull,
    0x28dull,
    0x38cull,
    0x38dull,
    0x0aeull,
    0x0afull,

    0x09cull,
    0x09dull,
    0x19cull,
    0x19dull,
    0x29cull,
    0x29dull,
    0x39cull,
    0x39dull,
    0x0beull,
    0x0bfull,

    0x0acull,
    0x0adull,
    0x1acull,
    0x1adull,
    0x2acull,
    0x2adull,
    0x3acull,
    0x3adull,
    0x1aeull,
    0x1afull,

    0x0bcull,
    0x0bdull,
    0x1bcull,
    0x1bdull,
    0x2bcull,
    0x2bdull,
    0x3bcull,
    0x3bdull,
    0x1beull,
    0x1bfull,

    0x0ccull,
    0x0cdull,
    0x1ccull,
    0x1cdull,
    0x2ccull,
    0x2cdull,
    0x3ccull,
    0x3cdull,
    0x2aeull,
    0x2afull,

    0x0dcull,
    0x0ddull,
    0x1dcull,
    0x1ddull,
    0x2dcull,
    0x2ddull,
    0x3dcull,
    0x3ddull,
    0x2beull,
    0x2bfull,

    0x0ecull,
    0x0edull,
    0x1ecull,
    0x1edull,
    0x2ecull,
    0x2edull,
    0x3ecull,
    0x3edull,
    0x3aeull,
    0x3afull,

    0x0fcull,
    0x0fdull,
    0x1fcull,
    0x1fdull,
    0x2fcull,
    0x2fdull,
    0x3fcull,
    0x3fdull,
    0x3beull,
    0x3bfull,

    0x08eull,
    0x08full,
    0x18eull,
    0x18full,
    0x28eull,
    0x28full,
    0x38eull,
    0x38full,
    0x0eeull,
    0x0efull,

    0x09eull,
    0x09full,
    0x19eull,
    0x19full,
    0x29eull,
    0x29full,
    0x39eull,
    0x39full,
    0x0feull,
    0x0ffull 
};

static const UINT64 b2d2[] = {
    0x000ull << 10,
    0x001ull << 10,
    0x002ull << 10,
    0x003ull << 10,
    0x004ull << 10,
    0x005ull << 10,
    0x006ull << 10,
    0x007ull << 10,
    0x008ull << 10,
    0x009ull << 10,

    0x010ull << 10,
    0x011ull << 10,
    0x012ull << 10,
    0x013ull << 10,
    0x014ull << 10,
    0x015ull << 10,
    0x016ull << 10,
    0x017ull << 10,
    0x018ull << 10,
    0x019ull << 10,

    0x020ull << 10,
    0x021ull << 10,
    0x022ull << 10,
    0x023ull << 10,
    0x024ull << 10,
    0x025ull << 10,
    0x026ull << 10,
    0x027ull << 10,
    0x028ull << 10,
    0x029ull << 10,

    0x030ull << 10,
    0x031ull << 10,
    0x032ull << 10,
    0x033ull << 10,
    0x034ull << 10,
    0x035ull << 10,
    0x036ull << 10,
    0x037ull << 10,
    0x038ull << 10,
    0x039ull << 10,

    0x040ull << 10,
    0x041ull << 10,
    0x042ull << 10,
    0x043ull << 10,
    0x044ull << 10,
    0x045ull << 10,
    0x046ull << 10,
    0x047ull << 10,
    0x048ull << 10,
    0x049ull << 10,

    0x050ull << 10,
    0x051ull << 10,
    0x052ull << 10,
    0x053ull << 10,
    0x054ull << 10,
    0x055ull << 10,
    0x056ull << 10,
    0x057ull << 10,
    0x058ull << 10,
    0x059ull << 10,

    0x060ull << 10,
    0x061ull << 10,
    0x062ull << 10,
    0x063ull << 10,
    0x064ull << 10,
    0x065ull << 10,
    0x066ull << 10,
    0x067ull << 10,
    0x068ull << 10,
    0x069ull << 10,

    0x070ull << 10,
    0x071ull << 10,
    0x072ull << 10,
    0x073ull << 10,
    0x074ull << 10,
    0x075ull << 10,
    0x076ull << 10,
    0x077ull << 10,
    0x078ull << 10,
    0x079ull << 10,

    0x00aull << 10,
    0x00bull << 10,
    0x02aull << 10,
    0x02bull << 10,
    0x04aull << 10,
    0x04bull << 10,
    0x06aull << 10,
    0x06bull << 10,
    0x04eull << 10,
    0x04full << 10,

    0x01aull << 10,
    0x01bull << 10,
    0x03aull << 10,
    0x03bull << 10,
    0x05aull << 10,
    0x05bull << 10,
    0x07aull << 10,
    0x07bull << 10,
    0x05eull << 10,
    0x05full << 10,

    0x080ull << 10,
    0x081ull << 10,
    0x082ull << 10,
    0x083ull << 10,
    0x084ull << 10,
    0x085ull << 10,
    0x086ull << 10,
    0x087ull << 10,
    0x088ull << 10,
    0x089ull << 10,

    0x090ull << 10,
    0x091ull << 10,
    0x092ull << 10,
    0x093ull << 10,
    0x094ull << 10,
    0x095ull << 10,
    0x096ull << 10,
    0x097ull << 10,
    0x098ull << 10,
    0x099ull << 10,

    0x0a0ull << 10,
    0x0a1ull << 10,
    0x0a2ull << 10,
    0x0a3ull << 10,
    0x0a4ull << 10,
    0x0a5ull << 10,
    0x0a6ull << 10,
    0x0a7ull << 10,
    0x0a8ull << 10,
    0x0a9ull << 10,

    0x0b0ull << 10,
    0x0b1ull << 10,
    0x0b2ull << 10,
    0x0b3ull << 10,
    0x0b4ull << 10,
    0x0b5ull << 10,
    0x0b6ull << 10,
    0x0b7ull << 10,
    0x0b8ull << 10,
    0x0b9ull << 10,

    0x0c0ull << 10,
    0x0c1ull << 10,
    0x0c2ull << 10,
    0x0c3ull << 10,
    0x0c4ull << 10,
    0x0c5ull << 10,
    0x0c6ull << 10,
    0x0c7ull << 10,
    0x0c8ull << 10,
    0x0c9ull << 10,

    0x0d0ull << 10,
    0x0d1ull << 10,
    0x0d2ull << 10,
    0x0d3ull << 10,
    0x0d4ull << 10,
    0x0d5ull << 10,
    0x0d6ull << 10,
    0x0d7ull << 10,
    0x0d8ull << 10,
    0x0d9ull << 10,

    0x0e0ull << 10,
    0x0e1ull << 10,
    0x0e2ull << 10,
    0x0e3ull << 10,
    0x0e4ull << 10,
    0x0e5ull << 10,
    0x0e6ull << 10,
    0x0e7ull << 10,
    0x0e8ull << 10,
    0x0e9ull << 10,

    0x0f0ull << 10,
    0x0f1ull << 10,
    0x0f2ull << 10,
    0x0f3ull << 10,
    0x0f4ull << 10,
    0x0f5ull << 10,
    0x0f6ull << 10,
    0x0f7ull << 10,
    0x0f8ull << 10,
    0x0f9ull << 10,

    0x08aull << 10,
    0x08bull << 10,
    0x0aaull << 10,
    0x0abull << 10,
    0x0caull << 10,
    0x0cbull << 10,
    0x0eaull << 10,
    0x0ebull << 10,
    0x0ceull << 10,
    0x0cfull << 10,

    0x09aull << 10,
    0x09bull << 10,
    0x0baull << 10,
    0x0bbull << 10,
    0x0daull << 10,
    0x0dbull << 10,
    0x0faull << 10,
    0x0fbull << 10,
    0x0deull << 10,
    0x0dfull << 10,

    0x100ull << 10,
    0x101ull << 10,
    0x102ull << 10,
    0x103ull << 10,
    0x104ull << 10,
    0x105ull << 10,
    0x106ull << 10,
    0x107ull << 10,
    0x108ull << 10,
    0x109ull << 10,

    0x110ull << 10,
    0x111ull << 10,
    0x112ull << 10,
    0x113ull << 10,
    0x114ull << 10,
    0x115ull << 10,
    0x116ull << 10,
    0x117ull << 10,
    0x118ull << 10,
    0x119ull << 10,

    0x120ull << 10,
    0x121ull << 10,
    0x122ull << 10,
    0x123ull << 10,
    0x124ull << 10,
    0x125ull << 10,
    0x126ull << 10,
    0x127ull << 10,
    0x128ull << 10,
    0x129ull << 10,

    0x130ull << 10,
    0x131ull << 10,
    0x132ull << 10,
    0x133ull << 10,
    0x134ull << 10,
    0x135ull << 10,
    0x136ull << 10,
    0x137ull << 10,
    0x138ull << 10,
    0x139ull << 10,

    0x140ull << 10,
    0x141ull << 10,
    0x142ull << 10,
    0x143ull << 10,
    0x144ull << 10,
    0x145ull << 10,
    0x146ull << 10,
    0x147ull << 10,
    0x148ull << 10,
    0x149ull << 10,

    0x150ull << 10,
    0x151ull << 10,
    0x152ull << 10,
    0x153ull << 10,
    0x154ull << 10,
    0x155ull << 10,
    0x156ull << 10,
    0x157ull << 10,
    0x158ull << 10,
    0x159ull << 10,

    0x160ull << 10,
    0x161ull << 10,
    0x162ull << 10,
    0x163ull << 10,
    0x164ull << 10,
    0x165ull << 10,
    0x166ull << 10,
    0x167ull << 10,
    0x168ull << 10,
    0x169ull << 10,

    0x170ull << 10,
    0x171ull << 10,
    0x172ull << 10,
    0x173ull << 10,
    0x174ull << 10,
    0x175ull << 10,
    0x176ull << 10,
    0x177ull << 10,
    0x178ull << 10,
    0x179ull << 10,

    0x10aull << 10,
    0x10bull << 10,
    0x12aull << 10,
    0x12bull << 10,
    0x14aull << 10,
    0x14bull << 10,
    0x16aull << 10,
    0x16bull << 10,
    0x14eull << 10,
    0x14full << 10,

    0x11aull << 10,
    0x11bull << 10,
    0x13aull << 10,
    0x13bull << 10,
    0x15aull << 10,
    0x15bull << 10,
    0x17aull << 10,
    0x17bull << 10,
    0x15eull << 10,
    0x15full << 10,

    0x180ull << 10,
    0x181ull << 10,
    0x182ull << 10,
    0x183ull << 10,
    0x184ull << 10,
    0x185ull << 10,
    0x186ull << 10,
    0x187ull << 10,
    0x188ull << 10,
    0x189ull << 10,

    0x190ull << 10,
    0x191ull << 10,
    0x192ull << 10,
    0x193ull << 10,
    0x194ull << 10,
    0x195ull << 10,
    0x196ull << 10,
    0x197ull << 10,
    0x198ull << 10,
    0x199ull << 10,

    0x1a0ull << 10,
    0x1a1ull << 10,
    0x1a2ull << 10,
    0x1a3ull << 10,
    0x1a4ull << 10,
    0x1a5ull << 10,
    0x1a6ull << 10,
    0x1a7ull << 10,
    0x1a8ull << 10,
    0x1a9ull << 10,

    0x1b0ull << 10,
    0x1b1ull << 10,
    0x1b2ull << 10,
    0x1b3ull << 10,
    0x1b4ull << 10,
    0x1b5ull << 10,
    0x1b6ull << 10,
    0x1b7ull << 10,
    0x1b8ull << 10,
    0x1b9ull << 10,

    0x1c0ull << 10,
    0x1c1ull << 10,
    0x1c2ull << 10,
    0x1c3ull << 10,
    0x1c4ull << 10,
    0x1c5ull << 10,
    0x1c6ull << 10,
    0x1c7ull << 10,
    0x1c8ull << 10,
    0x1c9ull << 10,

    0x1d0ull << 10,
    0x1d1ull << 10,
    0x1d2ull << 10,
    0x1d3ull << 10,
    0x1d4ull << 10,
    0x1d5ull << 10,
    0x1d6ull << 10,
    0x1d7ull << 10,
    0x1d8ull << 10,
    0x1d9ull << 10,

    0x1e0ull << 10,
    0x1e1ull << 10,
    0x1e2ull << 10,
    0x1e3ull << 10,
    0x1e4ull << 10,
    0x1e5ull << 10,
    0x1e6ull << 10,
    0x1e7ull << 10,
    0x1e8ull << 10,
    0x1e9ull << 10,

    0x1f0ull << 10,
    0x1f1ull << 10,
    0x1f2ull << 10,
    0x1f3ull << 10,
    0x1f4ull << 10,
    0x1f5ull << 10,
    0x1f6ull << 10,
    0x1f7ull << 10,
    0x1f8ull << 10,
    0x1f9ull << 10,

    0x18aull << 10,
    0x18bull << 10,
    0x1aaull << 10,
    0x1abull << 10,
    0x1caull << 10,
    0x1cbull << 10,
    0x1eaull << 10,
    0x1ebull << 10,
    0x1ceull << 10,
    0x1cfull << 10,

    0x19aull << 10,
    0x19bull << 10,
    0x1baull << 10,
    0x1bbull << 10,
    0x1daull << 10,
    0x1dbull << 10,
    0x1faull << 10,
    0x1fbull << 10,
    0x1deull << 10,
    0x1dfull << 10,

    0x200ull << 10,
    0x201ull << 10,
    0x202ull << 10,
    0x203ull << 10,
    0x204ull << 10,
    0x205ull << 10,
    0x206ull << 10,
    0x207ull << 10,
    0x208ull << 10,
    0x209ull << 10,

    0x210ull << 10,
    0x211ull << 10,
    0x212ull << 10,
    0x213ull << 10,
    0x214ull << 10,
    0x215ull << 10,
    0x216ull << 10,
    0x217ull << 10,
    0x218ull << 10,
    0x219ull << 10,

    0x220ull << 10,
    0x221ull << 10,
    0x222ull << 10,
    0x223ull << 10,
    0x224ull << 10,
    0x225ull << 10,
    0x226ull << 10,
    0x227ull << 10,
    0x228ull << 10,
    0x229ull << 10,

    0x230ull << 10,
    0x231ull << 10,
    0x232ull << 10,
    0x233ull << 10,
    0x234ull << 10,
    0x235ull << 10,
    0x236ull << 10,
    0x237ull << 10,
    0x238ull << 10,
    0x239ull << 10,

    0x240ull << 10,
    0x241ull << 10,
    0x242ull << 10,
    0x243ull << 10,
    0x244ull << 10,
    0x245ull << 10,
    0x246ull << 10,
    0x247ull << 10,
    0x248ull << 10,
    0x249ull << 10,

    0x250ull << 10,
    0x251ull << 10,
    0x252ull << 10,
    0x253ull << 10,
    0x254ull << 10,
    0x255ull << 10,
    0x256ull << 10,
    0x257ull << 10,
    0x258ull << 10,
    0x259ull << 10,

    0x260ull << 10,
    0x261ull << 10,
    0x262ull << 10,
    0x263ull << 10,
    0x264ull << 10,
    0x265ull << 10,
    0x266ull << 10,
    0x267ull << 10,
    0x268ull << 10,
    0x269ull << 10,

    0x270ull << 10,
    0x271ull << 10,
    0x272ull << 10,
    0x273ull << 10,
    0x274ull << 10,
    0x275ull << 10,
    0x276ull << 10,
    0x277ull << 10,
    0x278ull << 10,
    0x279ull << 10,

    0x20aull << 10,
    0x20bull << 10,
    0x22aull << 10,
    0x22bull << 10,
    0x24aull << 10,
    0x24bull << 10,
    0x26aull << 10,
    0x26bull << 10,
    0x24eull << 10,
    0x24full << 10,

    0x21aull << 10,
    0x21bull << 10,
    0x23aull << 10,
    0x23bull << 10,
    0x25aull << 10,
    0x25bull << 10,
    0x27aull << 10,
    0x27bull << 10,
    0x25eull << 10,
    0x25full << 10,

    0x280ull << 10,
    0x281ull << 10,
    0x282ull << 10,
    0x283ull << 10,
    0x284ull << 10,
    0x285ull << 10,
    0x286ull << 10,
    0x287ull << 10,
    0x288ull << 10,
    0x289ull << 10,

    0x290ull << 10,
    0x291ull << 10,
    0x292ull << 10,
    0x293ull << 10,
    0x294ull << 10,
    0x295ull << 10,
    0x296ull << 10,
    0x297ull << 10,
    0x298ull << 10,
    0x299ull << 10,

    0x2a0ull << 10,
    0x2a1ull << 10,
    0x2a2ull << 10,
    0x2a3ull << 10,
    0x2a4ull << 10,
    0x2a5ull << 10,
    0x2a6ull << 10,
    0x2a7ull << 10,
    0x2a8ull << 10,
    0x2a9ull << 10,

    0x2b0ull << 10,
    0x2b1ull << 10,
    0x2b2ull << 10,
    0x2b3ull << 10,
    0x2b4ull << 10,
    0x2b5ull << 10,
    0x2b6ull << 10,
    0x2b7ull << 10,
    0x2b8ull << 10,
    0x2b9ull << 10,

    0x2c0ull << 10,
    0x2c1ull << 10,
    0x2c2ull << 10,
    0x2c3ull << 10,
    0x2c4ull << 10,
    0x2c5ull << 10,
    0x2c6ull << 10,
    0x2c7ull << 10,
    0x2c8ull << 10,
    0x2c9ull << 10,

    0x2d0ull << 10,
    0x2d1ull << 10,
    0x2d2ull << 10,
    0x2d3ull << 10,
    0x2d4ull << 10,
    0x2d5ull << 10,
    0x2d6ull << 10,
    0x2d7ull << 10,
    0x2d8ull << 10,
    0x2d9ull << 10,

    0x2e0ull << 10,
    0x2e1ull << 10,
    0x2e2ull << 10,
    0x2e3ull << 10,
    0x2e4ull << 10,
    0x2e5ull << 10,
    0x2e6ull << 10,
    0x2e7ull << 10,
    0x2e8ull << 10,
    0x2e9ull << 10,

    0x2f0ull << 10,
    0x2f1ull << 10,
    0x2f2ull << 10,
    0x2f3ull << 10,
    0x2f4ull << 10,
    0x2f5ull << 10,
    0x2f6ull << 10,
    0x2f7ull << 10,
    0x2f8ull << 10,
    0x2f9ull << 10,

    0x28aull << 10,
    0x28bull << 10,
    0x2aaull << 10,
    0x2abull << 10,
    0x2caull << 10,
    0x2cbull << 10,
    0x2eaull << 10,
    0x2ebull << 10,
    0x2ceull << 10,
    0x2cfull << 10,

    0x29aull << 10,
    0x29bull << 10,
    0x2baull << 10,
    0x2bbull << 10,
    0x2daull << 10,
    0x2dbull << 10,
    0x2faull << 10,
    0x2fbull << 10,
    0x2deull << 10,
    0x2dfull << 10,

    0x300ull << 10,
    0x301ull << 10,
    0x302ull << 10,
    0x303ull << 10,
    0x304ull << 10,
    0x305ull << 10,
    0x306ull << 10,
    0x307ull << 10,
    0x308ull << 10,
    0x309ull << 10,

    0x310ull << 10,
    0x311ull << 10,
    0x312ull << 10,
    0x313ull << 10,
    0x314ull << 10,
    0x315ull << 10,
    0x316ull << 10,
    0x317ull << 10,
    0x318ull << 10,
    0x319ull << 10,

    0x320ull << 10,
    0x321ull << 10,
    0x322ull << 10,
    0x323ull << 10,
    0x324ull << 10,
    0x325ull << 10,
    0x326ull << 10,
    0x327ull << 10,
    0x328ull << 10,
    0x329ull << 10,

    0x330ull << 10,
    0x331ull << 10,
    0x332ull << 10,
    0x333ull << 10,
    0x334ull << 10,
    0x335ull << 10,
    0x336ull << 10,
    0x337ull << 10,
    0x338ull << 10,
    0x339ull << 10,

    0x340ull << 10,
    0x341ull << 10,
    0x342ull << 10,
    0x343ull << 10,
    0x344ull << 10,
    0x345ull << 10,
    0x346ull << 10,
    0x347ull << 10,
    0x348ull << 10,
    0x349ull << 10,

    0x350ull << 10,
    0x351ull << 10,
    0x352ull << 10,
    0x353ull << 10,
    0x354ull << 10,
    0x355ull << 10,
    0x356ull << 10,
    0x357ull << 10,
    0x358ull << 10,
    0x359ull << 10,

    0x360ull << 10,
    0x361ull << 10,
    0x362ull << 10,
    0x363ull << 10,
    0x364ull << 10,
    0x365ull << 10,
    0x366ull << 10,
    0x367ull << 10,
    0x368ull << 10,
    0x369ull << 10,

    0x370ull << 10,
    0x371ull << 10,
    0x372ull << 10,
    0x373ull << 10,
    0x374ull << 10,
    0x375ull << 10,
    0x376ull << 10,
    0x377ull << 10,
    0x378ull << 10,
    0x379ull << 10,

    0x30aull << 10,
    0x30bull << 10,
    0x32aull << 10,
    0x32bull << 10,
    0x34aull << 10,
    0x34bull << 10,
    0x36aull << 10,
    0x36bull << 10,
    0x34eull << 10,
    0x34full << 10,

    0x31aull << 10,
    0x31bull << 10,
    0x33aull << 10,
    0x33bull << 10,
    0x35aull << 10,
    0x35bull << 10,
    0x37aull << 10,
    0x37bull << 10,
    0x35eull << 10,
    0x35full << 10,

    0x380ull << 10,
    0x381ull << 10,
    0x382ull << 10,
    0x383ull << 10,
    0x384ull << 10,
    0x385ull << 10,
    0x386ull << 10,
    0x387ull << 10,
    0x388ull << 10,
    0x389ull << 10,

    0x390ull << 10,
    0x391ull << 10,
    0x392ull << 10,
    0x393ull << 10,
    0x394ull << 10,
    0x395ull << 10,
    0x396ull << 10,
    0x397ull << 10,
    0x398ull << 10,
    0x399ull << 10,

    0x3a0ull << 10,
    0x3a1ull << 10,
    0x3a2ull << 10,
    0x3a3ull << 10,
    0x3a4ull << 10,
    0x3a5ull << 10,
    0x3a6ull << 10,
    0x3a7ull << 10,
    0x3a8ull << 10,
    0x3a9ull << 10,

    0x3b0ull << 10,
    0x3b1ull << 10,
    0x3b2ull << 10,
    0x3b3ull << 10,
    0x3b4ull << 10,
    0x3b5ull << 10,
    0x3b6ull << 10,
    0x3b7ull << 10,
    0x3b8ull << 10,
    0x3b9ull << 10,

    0x3c0ull << 10,
    0x3c1ull << 10,
    0x3c2ull << 10,
    0x3c3ull << 10,
    0x3c4ull << 10,
    0x3c5ull << 10,
    0x3c6ull << 10,
    0x3c7ull << 10,
    0x3c8ull << 10,
    0x3c9ull << 10,

    0x3d0ull << 10,
    0x3d1ull << 10,
    0x3d2ull << 10,
    0x3d3ull << 10,
    0x3d4ull << 10,
    0x3d5ull << 10,
    0x3d6ull << 10,
    0x3d7ull << 10,
    0x3d8ull << 10,
    0x3d9ull << 10,

    0x3e0ull << 10,
    0x3e1ull << 10,
    0x3e2ull << 10,
    0x3e3ull << 10,
    0x3e4ull << 10,
    0x3e5ull << 10,
    0x3e6ull << 10,
    0x3e7ull << 10,
    0x3e8ull << 10,
    0x3e9ull << 10,

    0x3f0ull << 10,
    0x3f1ull << 10,
    0x3f2ull << 10,
    0x3f3ull << 10,
    0x3f4ull << 10,
    0x3f5ull << 10,
    0x3f6ull << 10,
    0x3f7ull << 10,
    0x3f8ull << 10,
    0x3f9ull << 10,

    0x38aull << 10,
    0x38bull << 10,
    0x3aaull << 10,
    0x3abull << 10,
    0x3caull << 10,
    0x3cbull << 10,
    0x3eaull << 10,
    0x3ebull << 10,
    0x3ceull << 10,
    0x3cfull << 10,

    0x39aull << 10,
    0x39bull << 10,
    0x3baull << 10,
    0x3bbull << 10,
    0x3daull << 10,
    0x3dbull << 10,
    0x3faull << 10,
    0x3fbull << 10,
    0x3deull << 10,
    0x3dfull << 10,

    0x00cull << 10,
    0x00dull << 10,
    0x10cull << 10,
    0x10dull << 10,
    0x20cull << 10,
    0x20dull << 10,
    0x30cull << 10,
    0x30dull << 10,
    0x02eull << 10,
    0x02full << 10,

    0x01cull << 10,
    0x01dull << 10,
    0x11cull << 10,
    0x11dull << 10,
    0x21cull << 10,
    0x21dull << 10,
    0x31cull << 10,
    0x31dull << 10,
    0x03eull << 10,
    0x03full << 10,

    0x02cull << 10,
    0x02dull << 10,
    0x12cull << 10,
    0x12dull << 10,
    0x22cull << 10,
    0x22dull << 10,
    0x32cull << 10,
    0x32dull << 10,
    0x12eull << 10,
    0x12full << 10,

    0x03cull << 10,
    0x03dull << 10,
    0x13cull << 10,
    0x13dull << 10,
    0x23cull << 10,
    0x23dull << 10,
    0x33cull << 10,
    0x33dull << 10,
    0x13eull << 10,
    0x13full << 10,

    0x04cull << 10,
    0x04dull << 10,
    0x14cull << 10,
    0x14dull << 10,
    0x24cull << 10,
    0x24dull << 10,
    0x34cull << 10,
    0x34dull << 10,
    0x22eull << 10,
    0x22full << 10,

    0x05cull << 10,
    0x05dull << 10,
    0x15cull << 10,
    0x15dull << 10,
    0x25cull << 10,
    0x25dull << 10,
    0x35cull << 10,
    0x35dull << 10,
    0x23eull << 10,
    0x23full << 10,

    0x06cull << 10,
    0x06dull << 10,
    0x16cull << 10,
    0x16dull << 10,
    0x26cull << 10,
    0x26dull << 10,
    0x36cull << 10,
    0x36dull << 10,
    0x32eull << 10,
    0x32full << 10,

    0x07cull << 10,
    0x07dull << 10,
    0x17cull << 10,
    0x17dull << 10,
    0x27cull << 10,
    0x27dull << 10,
    0x37cull << 10,
    0x37dull << 10,
    0x33eull << 10,
    0x33full << 10,

    0x00eull << 10,
    0x00full << 10,
    0x10eull << 10,
    0x10full << 10,
    0x20eull << 10,
    0x20full << 10,
    0x30eull << 10,
    0x30full << 10,
    0x06eull << 10,
    0x06full << 10,

    0x01eull << 10,
    0x01full << 10,
    0x11eull << 10,
    0x11full << 10,
    0x21eull << 10,
    0x21full << 10,
    0x31eull << 10,
    0x31full << 10,
    0x07eull << 10,
    0x07full << 10,

    0x08cull << 10,
    0x08dull << 10,
    0x18cull << 10,
    0x18dull << 10,
    0x28cull << 10,
    0x28dull << 10,
    0x38cull << 10,
    0x38dull << 10,
    0x0aeull << 10,
    0x0afull << 10,

    0x09cull << 10,
    0x09dull << 10,
    0x19cull << 10,
    0x19dull << 10,
    0x29cull << 10,
    0x29dull << 10,
    0x39cull << 10,
    0x39dull << 10,
    0x0beull << 10,
    0x0bfull << 10,

    0x0acull << 10,
    0x0adull << 10,
    0x1acull << 10,
    0x1adull << 10,
    0x2acull << 10,
    0x2adull << 10,
    0x3acull << 10,
    0x3adull << 10,
    0x1aeull << 10,
    0x1afull << 10,

    0x0bcull << 10,
    0x0bdull << 10,
    0x1bcull << 10,
    0x1bdull << 10,
    0x2bcull << 10,
    0x2bdull << 10,
    0x3bcull << 10,
    0x3bdull << 10,
    0x1beull << 10,
    0x1bfull << 10,

    0x0ccull << 10,
    0x0cdull << 10,
    0x1ccull << 10,
    0x1cdull << 10,
    0x2ccull << 10,
    0x2cdull << 10,
    0x3ccull << 10,
    0x3cdull << 10,
    0x2aeull << 10,
    0x2afull << 10,

    0x0dcull << 10,
    0x0ddull << 10,
    0x1dcull << 10,
    0x1ddull << 10,
    0x2dcull << 10,
    0x2ddull << 10,
    0x3dcull << 10,
    0x3ddull << 10,
    0x2beull << 10,
    0x2bfull << 10,

    0x0ecull << 10,
    0x0edull << 10,
    0x1ecull << 10,
    0x1edull << 10,
    0x2ecull << 10,
    0x2edull << 10,
    0x3ecull << 10,
    0x3edull << 10,
    0x3aeull << 10,
    0x3afull << 10,

    0x0fcull << 10,
    0x0fdull << 10,
    0x1fcull << 10,
    0x1fdull << 10,
    0x2fcull << 10,
    0x2fdull << 10,
    0x3fcull << 10,
    0x3fdull << 10,
    0x3beull << 10,
    0x3bfull << 10,

    0x08eull << 10,
    0x08full << 10,
    0x18eull << 10,
    0x18full << 10,
    0x28eull << 10,
    0x28full << 10,
    0x38eull << 10,
    0x38full << 10,
    0x0eeull << 10,
    0x0efull << 10,

    0x09eull << 10,
    0x09full << 10,
    0x19eull << 10,
    0x19full << 10,
    0x29eull << 10,
    0x29full << 10,
    0x39eull << 10,
    0x39full << 10,
    0x0feull << 10,
    0x0ffull << 10 
};

static const UINT64 b2d3[] = {
    0x000ull << 20,
    0x001ull << 20,
    0x002ull << 20,
    0x003ull << 20,
    0x004ull << 20,
    0x005ull << 20,
    0x006ull << 20,
    0x007ull << 20,
    0x008ull << 20,
    0x009ull << 20,

    0x010ull << 20,
    0x011ull << 20,
    0x012ull << 20,
    0x013ull << 20,
    0x014ull << 20,
    0x015ull << 20,
    0x016ull << 20,
    0x017ull << 20,
    0x018ull << 20,
    0x019ull << 20,

    0x020ull << 20,
    0x021ull << 20,
    0x022ull << 20,
    0x023ull << 20,
    0x024ull << 20,
    0x025ull << 20,
    0x026ull << 20,
    0x027ull << 20,
    0x028ull << 20,
    0x029ull << 20,

    0x030ull << 20,
    0x031ull << 20,
    0x032ull << 20,
    0x033ull << 20,
    0x034ull << 20,
    0x035ull << 20,
    0x036ull << 20,
    0x037ull << 20,
    0x038ull << 20,
    0x039ull << 20,

    0x040ull << 20,
    0x041ull << 20,
    0x042ull << 20,
    0x043ull << 20,
    0x044ull << 20,
    0x045ull << 20,
    0x046ull << 20,
    0x047ull << 20,
    0x048ull << 20,
    0x049ull << 20,

    0x050ull << 20,
    0x051ull << 20,
    0x052ull << 20,
    0x053ull << 20,
    0x054ull << 20,
    0x055ull << 20,
    0x056ull << 20,
    0x057ull << 20,
    0x058ull << 20,
    0x059ull << 20,

    0x060ull << 20,
    0x061ull << 20,
    0x062ull << 20,
    0x063ull << 20,
    0x064ull << 20,
    0x065ull << 20,
    0x066ull << 20,
    0x067ull << 20,
    0x068ull << 20,
    0x069ull << 20,

    0x070ull << 20,
    0x071ull << 20,
    0x072ull << 20,
    0x073ull << 20,
    0x074ull << 20,
    0x075ull << 20,
    0x076ull << 20,
    0x077ull << 20,
    0x078ull << 20,
    0x079ull << 20,

    0x00aull << 20,
    0x00bull << 20,
    0x02aull << 20,
    0x02bull << 20,
    0x04aull << 20,
    0x04bull << 20,
    0x06aull << 20,
    0x06bull << 20,
    0x04eull << 20,
    0x04full << 20,

    0x01aull << 20,
    0x01bull << 20,
    0x03aull << 20,
    0x03bull << 20,
    0x05aull << 20,
    0x05bull << 20,
    0x07aull << 20,
    0x07bull << 20,
    0x05eull << 20,
    0x05full << 20,

    0x080ull << 20,
    0x081ull << 20,
    0x082ull << 20,
    0x083ull << 20,
    0x084ull << 20,
    0x085ull << 20,
    0x086ull << 20,
    0x087ull << 20,
    0x088ull << 20,
    0x089ull << 20,

    0x090ull << 20,
    0x091ull << 20,
    0x092ull << 20,
    0x093ull << 20,
    0x094ull << 20,
    0x095ull << 20,
    0x096ull << 20,
    0x097ull << 20,
    0x098ull << 20,
    0x099ull << 20,

    0x0a0ull << 20,
    0x0a1ull << 20,
    0x0a2ull << 20,
    0x0a3ull << 20,
    0x0a4ull << 20,
    0x0a5ull << 20,
    0x0a6ull << 20,
    0x0a7ull << 20,
    0x0a8ull << 20,
    0x0a9ull << 20,

    0x0b0ull << 20,
    0x0b1ull << 20,
    0x0b2ull << 20,
    0x0b3ull << 20,
    0x0b4ull << 20,
    0x0b5ull << 20,
    0x0b6ull << 20,
    0x0b7ull << 20,
    0x0b8ull << 20,
    0x0b9ull << 20,

    0x0c0ull << 20,
    0x0c1ull << 20,
    0x0c2ull << 20,
    0x0c3ull << 20,
    0x0c4ull << 20,
    0x0c5ull << 20,
    0x0c6ull << 20,
    0x0c7ull << 20,
    0x0c8ull << 20,
    0x0c9ull << 20,

    0x0d0ull << 20,
    0x0d1ull << 20,
    0x0d2ull << 20,
    0x0d3ull << 20,
    0x0d4ull << 20,
    0x0d5ull << 20,
    0x0d6ull << 20,
    0x0d7ull << 20,
    0x0d8ull << 20,
    0x0d9ull << 20,

    0x0e0ull << 20,
    0x0e1ull << 20,
    0x0e2ull << 20,
    0x0e3ull << 20,
    0x0e4ull << 20,
    0x0e5ull << 20,
    0x0e6ull << 20,
    0x0e7ull << 20,
    0x0e8ull << 20,
    0x0e9ull << 20,

    0x0f0ull << 20,
    0x0f1ull << 20,
    0x0f2ull << 20,
    0x0f3ull << 20,
    0x0f4ull << 20,
    0x0f5ull << 20,
    0x0f6ull << 20,
    0x0f7ull << 20,
    0x0f8ull << 20,
    0x0f9ull << 20,

    0x08aull << 20,
    0x08bull << 20,
    0x0aaull << 20,
    0x0abull << 20,
    0x0caull << 20,
    0x0cbull << 20,
    0x0eaull << 20,
    0x0ebull << 20,
    0x0ceull << 20,
    0x0cfull << 20,

    0x09aull << 20,
    0x09bull << 20,
    0x0baull << 20,
    0x0bbull << 20,
    0x0daull << 20,
    0x0dbull << 20,
    0x0faull << 20,
    0x0fbull << 20,
    0x0deull << 20,
    0x0dfull << 20,

    0x100ull << 20,
    0x101ull << 20,
    0x102ull << 20,
    0x103ull << 20,
    0x104ull << 20,
    0x105ull << 20,
    0x106ull << 20,
    0x107ull << 20,
    0x108ull << 20,
    0x109ull << 20,

    0x110ull << 20,
    0x111ull << 20,
    0x112ull << 20,
    0x113ull << 20,
    0x114ull << 20,
    0x115ull << 20,
    0x116ull << 20,
    0x117ull << 20,
    0x118ull << 20,
    0x119ull << 20,

    0x120ull << 20,
    0x121ull << 20,
    0x122ull << 20,
    0x123ull << 20,
    0x124ull << 20,
    0x125ull << 20,
    0x126ull << 20,
    0x127ull << 20,
    0x128ull << 20,
    0x129ull << 20,

    0x130ull << 20,
    0x131ull << 20,
    0x132ull << 20,
    0x133ull << 20,
    0x134ull << 20,
    0x135ull << 20,
    0x136ull << 20,
    0x137ull << 20,
    0x138ull << 20,
    0x139ull << 20,

    0x140ull << 20,
    0x141ull << 20,
    0x142ull << 20,
    0x143ull << 20,
    0x144ull << 20,
    0x145ull << 20,
    0x146ull << 20,
    0x147ull << 20,
    0x148ull << 20,
    0x149ull << 20,

    0x150ull << 20,
    0x151ull << 20,
    0x152ull << 20,
    0x153ull << 20,
    0x154ull << 20,
    0x155ull << 20,
    0x156ull << 20,
    0x157ull << 20,
    0x158ull << 20,
    0x159ull << 20,

    0x160ull << 20,
    0x161ull << 20,
    0x162ull << 20,
    0x163ull << 20,
    0x164ull << 20,
    0x165ull << 20,
    0x166ull << 20,
    0x167ull << 20,
    0x168ull << 20,
    0x169ull << 20,

    0x170ull << 20,
    0x171ull << 20,
    0x172ull << 20,
    0x173ull << 20,
    0x174ull << 20,
    0x175ull << 20,
    0x176ull << 20,
    0x177ull << 20,
    0x178ull << 20,
    0x179ull << 20,

    0x10aull << 20,
    0x10bull << 20,
    0x12aull << 20,
    0x12bull << 20,
    0x14aull << 20,
    0x14bull << 20,
    0x16aull << 20,
    0x16bull << 20,
    0x14eull << 20,
    0x14full << 20,

    0x11aull << 20,
    0x11bull << 20,
    0x13aull << 20,
    0x13bull << 20,
    0x15aull << 20,
    0x15bull << 20,
    0x17aull << 20,
    0x17bull << 20,
    0x15eull << 20,
    0x15full << 20,

    0x180ull << 20,
    0x181ull << 20,
    0x182ull << 20,
    0x183ull << 20,
    0x184ull << 20,
    0x185ull << 20,
    0x186ull << 20,
    0x187ull << 20,
    0x188ull << 20,
    0x189ull << 20,

    0x190ull << 20,
    0x191ull << 20,
    0x192ull << 20,
    0x193ull << 20,
    0x194ull << 20,
    0x195ull << 20,
    0x196ull << 20,
    0x197ull << 20,
    0x198ull << 20,
    0x199ull << 20,

    0x1a0ull << 20,
    0x1a1ull << 20,
    0x1a2ull << 20,
    0x1a3ull << 20,
    0x1a4ull << 20,
    0x1a5ull << 20,
    0x1a6ull << 20,
    0x1a7ull << 20,
    0x1a8ull << 20,
    0x1a9ull << 20,

    0x1b0ull << 20,
    0x1b1ull << 20,
    0x1b2ull << 20,
    0x1b3ull << 20,
    0x1b4ull << 20,
    0x1b5ull << 20,
    0x1b6ull << 20,
    0x1b7ull << 20,
    0x1b8ull << 20,
    0x1b9ull << 20,

    0x1c0ull << 20,
    0x1c1ull << 20,
    0x1c2ull << 20,
    0x1c3ull << 20,
    0x1c4ull << 20,
    0x1c5ull << 20,
    0x1c6ull << 20,
    0x1c7ull << 20,
    0x1c8ull << 20,
    0x1c9ull << 20,

    0x1d0ull << 20,
    0x1d1ull << 20,
    0x1d2ull << 20,
    0x1d3ull << 20,
    0x1d4ull << 20,
    0x1d5ull << 20,
    0x1d6ull << 20,
    0x1d7ull << 20,
    0x1d8ull << 20,
    0x1d9ull << 20,

    0x1e0ull << 20,
    0x1e1ull << 20,
    0x1e2ull << 20,
    0x1e3ull << 20,
    0x1e4ull << 20,
    0x1e5ull << 20,
    0x1e6ull << 20,
    0x1e7ull << 20,
    0x1e8ull << 20,
    0x1e9ull << 20,

    0x1f0ull << 20,
    0x1f1ull << 20,
    0x1f2ull << 20,
    0x1f3ull << 20,
    0x1f4ull << 20,
    0x1f5ull << 20,
    0x1f6ull << 20,
    0x1f7ull << 20,
    0x1f8ull << 20,
    0x1f9ull << 20,

    0x18aull << 20,
    0x18bull << 20,
    0x1aaull << 20,
    0x1abull << 20,
    0x1caull << 20,
    0x1cbull << 20,
    0x1eaull << 20,
    0x1ebull << 20,
    0x1ceull << 20,
    0x1cfull << 20,

    0x19aull << 20,
    0x19bull << 20,
    0x1baull << 20,
    0x1bbull << 20,
    0x1daull << 20,
    0x1dbull << 20,
    0x1faull << 20,
    0x1fbull << 20,
    0x1deull << 20,
    0x1dfull << 20,

    0x200ull << 20,
    0x201ull << 20,
    0x202ull << 20,
    0x203ull << 20,
    0x204ull << 20,
    0x205ull << 20,
    0x206ull << 20,
    0x207ull << 20,
    0x208ull << 20,
    0x209ull << 20,

    0x210ull << 20,
    0x211ull << 20,
    0x212ull << 20,
    0x213ull << 20,
    0x214ull << 20,
    0x215ull << 20,
    0x216ull << 20,
    0x217ull << 20,
    0x218ull << 20,
    0x219ull << 20,

    0x220ull << 20,
    0x221ull << 20,
    0x222ull << 20,
    0x223ull << 20,
    0x224ull << 20,
    0x225ull << 20,
    0x226ull << 20,
    0x227ull << 20,
    0x228ull << 20,
    0x229ull << 20,

    0x230ull << 20,
    0x231ull << 20,
    0x232ull << 20,
    0x233ull << 20,
    0x234ull << 20,
    0x235ull << 20,
    0x236ull << 20,
    0x237ull << 20,
    0x238ull << 20,
    0x239ull << 20,

    0x240ull << 20,
    0x241ull << 20,
    0x242ull << 20,
    0x243ull << 20,
    0x244ull << 20,
    0x245ull << 20,
    0x246ull << 20,
    0x247ull << 20,
    0x248ull << 20,
    0x249ull << 20,

    0x250ull << 20,
    0x251ull << 20,
    0x252ull << 20,
    0x253ull << 20,
    0x254ull << 20,
    0x255ull << 20,
    0x256ull << 20,
    0x257ull << 20,
    0x258ull << 20,
    0x259ull << 20,

    0x260ull << 20,
    0x261ull << 20,
    0x262ull << 20,
    0x263ull << 20,
    0x264ull << 20,
    0x265ull << 20,
    0x266ull << 20,
    0x267ull << 20,
    0x268ull << 20,
    0x269ull << 20,

    0x270ull << 20,
    0x271ull << 20,
    0x272ull << 20,
    0x273ull << 20,
    0x274ull << 20,
    0x275ull << 20,
    0x276ull << 20,
    0x277ull << 20,
    0x278ull << 20,
    0x279ull << 20,

    0x20aull << 20,
    0x20bull << 20,
    0x22aull << 20,
    0x22bull << 20,
    0x24aull << 20,
    0x24bull << 20,
    0x26aull << 20,
    0x26bull << 20,
    0x24eull << 20,
    0x24full << 20,

    0x21aull << 20,
    0x21bull << 20,
    0x23aull << 20,
    0x23bull << 20,
    0x25aull << 20,
    0x25bull << 20,
    0x27aull << 20,
    0x27bull << 20,
    0x25eull << 20,
    0x25full << 20,

    0x280ull << 20,
    0x281ull << 20,
    0x282ull << 20,
    0x283ull << 20,
    0x284ull << 20,
    0x285ull << 20,
    0x286ull << 20,
    0x287ull << 20,
    0x288ull << 20,
    0x289ull << 20,

    0x290ull << 20,
    0x291ull << 20,
    0x292ull << 20,
    0x293ull << 20,
    0x294ull << 20,
    0x295ull << 20,
    0x296ull << 20,
    0x297ull << 20,
    0x298ull << 20,
    0x299ull << 20,

    0x2a0ull << 20,
    0x2a1ull << 20,
    0x2a2ull << 20,
    0x2a3ull << 20,
    0x2a4ull << 20,
    0x2a5ull << 20,
    0x2a6ull << 20,
    0x2a7ull << 20,
    0x2a8ull << 20,
    0x2a9ull << 20,

    0x2b0ull << 20,
    0x2b1ull << 20,
    0x2b2ull << 20,
    0x2b3ull << 20,
    0x2b4ull << 20,
    0x2b5ull << 20,
    0x2b6ull << 20,
    0x2b7ull << 20,
    0x2b8ull << 20,
    0x2b9ull << 20,

    0x2c0ull << 20,
    0x2c1ull << 20,
    0x2c2ull << 20,
    0x2c3ull << 20,
    0x2c4ull << 20,
    0x2c5ull << 20,
    0x2c6ull << 20,
    0x2c7ull << 20,
    0x2c8ull << 20,
    0x2c9ull << 20,

    0x2d0ull << 20,
    0x2d1ull << 20,
    0x2d2ull << 20,
    0x2d3ull << 20,
    0x2d4ull << 20,
    0x2d5ull << 20,
    0x2d6ull << 20,
    0x2d7ull << 20,
    0x2d8ull << 20,
    0x2d9ull << 20,

    0x2e0ull << 20,
    0x2e1ull << 20,
    0x2e2ull << 20,
    0x2e3ull << 20,
    0x2e4ull << 20,
    0x2e5ull << 20,
    0x2e6ull << 20,
    0x2e7ull << 20,
    0x2e8ull << 20,
    0x2e9ull << 20,

    0x2f0ull << 20,
    0x2f1ull << 20,
    0x2f2ull << 20,
    0x2f3ull << 20,
    0x2f4ull << 20,
    0x2f5ull << 20,
    0x2f6ull << 20,
    0x2f7ull << 20,
    0x2f8ull << 20,
    0x2f9ull << 20,

    0x28aull << 20,
    0x28bull << 20,
    0x2aaull << 20,
    0x2abull << 20,
    0x2caull << 20,
    0x2cbull << 20,
    0x2eaull << 20,
    0x2ebull << 20,
    0x2ceull << 20,
    0x2cfull << 20,

    0x29aull << 20,
    0x29bull << 20,
    0x2baull << 20,
    0x2bbull << 20,
    0x2daull << 20,
    0x2dbull << 20,
    0x2faull << 20,
    0x2fbull << 20,
    0x2deull << 20,
    0x2dfull << 20,

    0x300ull << 20,
    0x301ull << 20,
    0x302ull << 20,
    0x303ull << 20,
    0x304ull << 20,
    0x305ull << 20,
    0x306ull << 20,
    0x307ull << 20,
    0x308ull << 20,
    0x309ull << 20,

    0x310ull << 20,
    0x311ull << 20,
    0x312ull << 20,
    0x313ull << 20,
    0x314ull << 20,
    0x315ull << 20,
    0x316ull << 20,
    0x317ull << 20,
    0x318ull << 20,
    0x319ull << 20,

    0x320ull << 20,
    0x321ull << 20,
    0x322ull << 20,
    0x323ull << 20,
    0x324ull << 20,
    0x325ull << 20,
    0x326ull << 20,
    0x327ull << 20,
    0x328ull << 20,
    0x329ull << 20,

    0x330ull << 20,
    0x331ull << 20,
    0x332ull << 20,
    0x333ull << 20,
    0x334ull << 20,
    0x335ull << 20,
    0x336ull << 20,
    0x337ull << 20,
    0x338ull << 20,
    0x339ull << 20,

    0x340ull << 20,
    0x341ull << 20,
    0x342ull << 20,
    0x343ull << 20,
    0x344ull << 20,
    0x345ull << 20,
    0x346ull << 20,
    0x347ull << 20,
    0x348ull << 20,
    0x349ull << 20,

    0x350ull << 20,
    0x351ull << 20,
    0x352ull << 20,
    0x353ull << 20,
    0x354ull << 20,
    0x355ull << 20,
    0x356ull << 20,
    0x357ull << 20,
    0x358ull << 20,
    0x359ull << 20,

    0x360ull << 20,
    0x361ull << 20,
    0x362ull << 20,
    0x363ull << 20,
    0x364ull << 20,
    0x365ull << 20,
    0x366ull << 20,
    0x367ull << 20,
    0x368ull << 20,
    0x369ull << 20,

    0x370ull << 20,
    0x371ull << 20,
    0x372ull << 20,
    0x373ull << 20,
    0x374ull << 20,
    0x375ull << 20,
    0x376ull << 20,
    0x377ull << 20,
    0x378ull << 20,
    0x379ull << 20,

    0x30aull << 20,
    0x30bull << 20,
    0x32aull << 20,
    0x32bull << 20,
    0x34aull << 20,
    0x34bull << 20,
    0x36aull << 20,
    0x36bull << 20,
    0x34eull << 20,
    0x34full << 20,

    0x31aull << 20,
    0x31bull << 20,
    0x33aull << 20,
    0x33bull << 20,
    0x35aull << 20,
    0x35bull << 20,
    0x37aull << 20,
    0x37bull << 20,
    0x35eull << 20,
    0x35full << 20,

    0x380ull << 20,
    0x381ull << 20,
    0x382ull << 20,
    0x383ull << 20,
    0x384ull << 20,
    0x385ull << 20,
    0x386ull << 20,
    0x387ull << 20,
    0x388ull << 20,
    0x389ull << 20,

    0x390ull << 20,
    0x391ull << 20,
    0x392ull << 20,
    0x393ull << 20,
    0x394ull << 20,
    0x395ull << 20,
    0x396ull << 20,
    0x397ull << 20,
    0x398ull << 20,
    0x399ull << 20,

    0x3a0ull << 20,
    0x3a1ull << 20,
    0x3a2ull << 20,
    0x3a3ull << 20,
    0x3a4ull << 20,
    0x3a5ull << 20,
    0x3a6ull << 20,
    0x3a7ull << 20,
    0x3a8ull << 20,
    0x3a9ull << 20,

    0x3b0ull << 20,
    0x3b1ull << 20,
    0x3b2ull << 20,
    0x3b3ull << 20,
    0x3b4ull << 20,
    0x3b5ull << 20,
    0x3b6ull << 20,
    0x3b7ull << 20,
    0x3b8ull << 20,
    0x3b9ull << 20,

    0x3c0ull << 20,
    0x3c1ull << 20,
    0x3c2ull << 20,
    0x3c3ull << 20,
    0x3c4ull << 20,
    0x3c5ull << 20,
    0x3c6ull << 20,
    0x3c7ull << 20,
    0x3c8ull << 20,
    0x3c9ull << 20,

    0x3d0ull << 20,
    0x3d1ull << 20,
    0x3d2ull << 20,
    0x3d3ull << 20,
    0x3d4ull << 20,
    0x3d5ull << 20,
    0x3d6ull << 20,
    0x3d7ull << 20,
    0x3d8ull << 20,
    0x3d9ull << 20,

    0x3e0ull << 20,
    0x3e1ull << 20,
    0x3e2ull << 20,
    0x3e3ull << 20,
    0x3e4ull << 20,
    0x3e5ull << 20,
    0x3e6ull << 20,
    0x3e7ull << 20,
    0x3e8ull << 20,
    0x3e9ull << 20,

    0x3f0ull << 20,
    0x3f1ull << 20,
    0x3f2ull << 20,
    0x3f3ull << 20,
    0x3f4ull << 20,
    0x3f5ull << 20,
    0x3f6ull << 20,
    0x3f7ull << 20,
    0x3f8ull << 20,
    0x3f9ull << 20,

    0x38aull << 20,
    0x38bull << 20,
    0x3aaull << 20,
    0x3abull << 20,
    0x3caull << 20,
    0x3cbull << 20,
    0x3eaull << 20,
    0x3ebull << 20,
    0x3ceull << 20,
    0x3cfull << 20,

    0x39aull << 20,
    0x39bull << 20,
    0x3baull << 20,
    0x3bbull << 20,
    0x3daull << 20,
    0x3dbull << 20,
    0x3faull << 20,
    0x3fbull << 20,
    0x3deull << 20,
    0x3dfull << 20,

    0x00cull << 20,
    0x00dull << 20,
    0x10cull << 20,
    0x10dull << 20,
    0x20cull << 20,
    0x20dull << 20,
    0x30cull << 20,
    0x30dull << 20,
    0x02eull << 20,
    0x02full << 20,

    0x01cull << 20,
    0x01dull << 20,
    0x11cull << 20,
    0x11dull << 20,
    0x21cull << 20,
    0x21dull << 20,
    0x31cull << 20,
    0x31dull << 20,
    0x03eull << 20,
    0x03full << 20,

    0x02cull << 20,
    0x02dull << 20,
    0x12cull << 20,
    0x12dull << 20,
    0x22cull << 20,
    0x22dull << 20,
    0x32cull << 20,
    0x32dull << 20,
    0x12eull << 20,
    0x12full << 20,

    0x03cull << 20,
    0x03dull << 20,
    0x13cull << 20,
    0x13dull << 20,
    0x23cull << 20,
    0x23dull << 20,
    0x33cull << 20,
    0x33dull << 20,
    0x13eull << 20,
    0x13full << 20,

    0x04cull << 20,
    0x04dull << 20,
    0x14cull << 20,
    0x14dull << 20,
    0x24cull << 20,
    0x24dull << 20,
    0x34cull << 20,
    0x34dull << 20,
    0x22eull << 20,
    0x22full << 20,

    0x05cull << 20,
    0x05dull << 20,
    0x15cull << 20,
    0x15dull << 20,
    0x25cull << 20,
    0x25dull << 20,
    0x35cull << 20,
    0x35dull << 20,
    0x23eull << 20,
    0x23full << 20,

    0x06cull << 20,
    0x06dull << 20,
    0x16cull << 20,
    0x16dull << 20,
    0x26cull << 20,
    0x26dull << 20,
    0x36cull << 20,
    0x36dull << 20,
    0x32eull << 20,
    0x32full << 20,

    0x07cull << 20,
    0x07dull << 20,
    0x17cull << 20,
    0x17dull << 20,
    0x27cull << 20,
    0x27dull << 20,
    0x37cull << 20,
    0x37dull << 20,
    0x33eull << 20,
    0x33full << 20,

    0x00eull << 20,
    0x00full << 20,
    0x10eull << 20,
    0x10full << 20,
    0x20eull << 20,
    0x20full << 20,
    0x30eull << 20,
    0x30full << 20,
    0x06eull << 20,
    0x06full << 20,

    0x01eull << 20,
    0x01full << 20,
    0x11eull << 20,
    0x11full << 20,
    0x21eull << 20,
    0x21full << 20,
    0x31eull << 20,
    0x31full << 20,
    0x07eull << 20,
    0x07full << 20,

    0x08cull << 20,
    0x08dull << 20,
    0x18cull << 20,
    0x18dull << 20,
    0x28cull << 20,
    0x28dull << 20,
    0x38cull << 20,
    0x38dull << 20,
    0x0aeull << 20,
    0x0afull << 20,

    0x09cull << 20,
    0x09dull << 20,
    0x19cull << 20,
    0x19dull << 20,
    0x29cull << 20,
    0x29dull << 20,
    0x39cull << 20,
    0x39dull << 20,
    0x0beull << 20,
    0x0bfull << 20,

    0x0acull << 20,
    0x0adull << 20,
    0x1acull << 20,
    0x1adull << 20,
    0x2acull << 20,
    0x2adull << 20,
    0x3acull << 20,
    0x3adull << 20,
    0x1aeull << 20,
    0x1afull << 20,

    0x0bcull << 20,
    0x0bdull << 20,
    0x1bcull << 20,
    0x1bdull << 20,
    0x2bcull << 20,
    0x2bdull << 20,
    0x3bcull << 20,
    0x3bdull << 20,
    0x1beull << 20,
    0x1bfull << 20,

    0x0ccull << 20,
    0x0cdull << 20,
    0x1ccull << 20,
    0x1cdull << 20,
    0x2ccull << 20,
    0x2cdull << 20,
    0x3ccull << 20,
    0x3cdull << 20,
    0x2aeull << 20,
    0x2afull << 20,

    0x0dcull << 20,
    0x0ddull << 20,
    0x1dcull << 20,
    0x1ddull << 20,
    0x2dcull << 20,
    0x2ddull << 20,
    0x3dcull << 20,
    0x3ddull << 20,
    0x2beull << 20,
    0x2bfull << 20,

    0x0ecull << 20,
    0x0edull << 20,
    0x1ecull << 20,
    0x1edull << 20,
    0x2ecull << 20,
    0x2edull << 20,
    0x3ecull << 20,
    0x3edull << 20,
    0x3aeull << 20,
    0x3afull << 20,

    0x0fcull << 20,
    0x0fdull << 20,
    0x1fcull << 20,
    0x1fdull << 20,
    0x2fcull << 20,
    0x2fdull << 20,
    0x3fcull << 20,
    0x3fdull << 20,
    0x3beull << 20,
    0x3bfull << 20,

    0x08eull << 20,
    0x08full << 20,
    0x18eull << 20,
    0x18full << 20,
    0x28eull << 20,
    0x28full << 20,
    0x38eull << 20,
    0x38full << 20,
    0x0eeull << 20,
    0x0efull << 20,

    0x09eull << 20,
    0x09full << 20,
    0x19eull << 20,
    0x19full << 20,
    0x29eull << 20,
    0x29full << 20,
    0x39eull << 20,
    0x39full << 20,
    0x0feull << 20,
    0x0ffull << 20 
};

static const UINT64 b2d4[] = {
    0x000ull << 30,
    0x001ull << 30,
    0x002ull << 30,
    0x003ull << 30,
    0x004ull << 30,
    0x005ull << 30,
    0x006ull << 30,
    0x007ull << 30,
    0x008ull << 30,
    0x009ull << 30,

    0x010ull << 30,
    0x011ull << 30,
    0x012ull << 30,
    0x013ull << 30,
    0x014ull << 30,
    0x015ull << 30,
    0x016ull << 30,
    0x017ull << 30,
    0x018ull << 30,
    0x019ull << 30,

    0x020ull << 30,
    0x021ull << 30,
    0x022ull << 30,
    0x023ull << 30,
    0x024ull << 30,
    0x025ull << 30,
    0x026ull << 30,
    0x027ull << 30,
    0x028ull << 30,
    0x029ull << 30,

    0x030ull << 30,
    0x031ull << 30,
    0x032ull << 30,
    0x033ull << 30,
    0x034ull << 30,
    0x035ull << 30,
    0x036ull << 30,
    0x037ull << 30,
    0x038ull << 30,
    0x039ull << 30,

    0x040ull << 30,
    0x041ull << 30,
    0x042ull << 30,
    0x043ull << 30,
    0x044ull << 30,
    0x045ull << 30,
    0x046ull << 30,
    0x047ull << 30,
    0x048ull << 30,
    0x049ull << 30,

    0x050ull << 30,
    0x051ull << 30,
    0x052ull << 30,
    0x053ull << 30,
    0x054ull << 30,
    0x055ull << 30,
    0x056ull << 30,
    0x057ull << 30,
    0x058ull << 30,
    0x059ull << 30,

    0x060ull << 30,
    0x061ull << 30,
    0x062ull << 30,
    0x063ull << 30,
    0x064ull << 30,
    0x065ull << 30,
    0x066ull << 30,
    0x067ull << 30,
    0x068ull << 30,
    0x069ull << 30,

    0x070ull << 30,
    0x071ull << 30,
    0x072ull << 30,
    0x073ull << 30,
    0x074ull << 30,
    0x075ull << 30,
    0x076ull << 30,
    0x077ull << 30,
    0x078ull << 30,
    0x079ull << 30,

    0x00aull << 30,
    0x00bull << 30,
    0x02aull << 30,
    0x02bull << 30,
    0x04aull << 30,
    0x04bull << 30,
    0x06aull << 30,
    0x06bull << 30,
    0x04eull << 30,
    0x04full << 30,

    0x01aull << 30,
    0x01bull << 30,
    0x03aull << 30,
    0x03bull << 30,
    0x05aull << 30,
    0x05bull << 30,
    0x07aull << 30,
    0x07bull << 30,
    0x05eull << 30,
    0x05full << 30,

    0x080ull << 30,
    0x081ull << 30,
    0x082ull << 30,
    0x083ull << 30,
    0x084ull << 30,
    0x085ull << 30,
    0x086ull << 30,
    0x087ull << 30,
    0x088ull << 30,
    0x089ull << 30,

    0x090ull << 30,
    0x091ull << 30,
    0x092ull << 30,
    0x093ull << 30,
    0x094ull << 30,
    0x095ull << 30,
    0x096ull << 30,
    0x097ull << 30,
    0x098ull << 30,
    0x099ull << 30,

    0x0a0ull << 30,
    0x0a1ull << 30,
    0x0a2ull << 30,
    0x0a3ull << 30,
    0x0a4ull << 30,
    0x0a5ull << 30,
    0x0a6ull << 30,
    0x0a7ull << 30,
    0x0a8ull << 30,
    0x0a9ull << 30,

    0x0b0ull << 30,
    0x0b1ull << 30,
    0x0b2ull << 30,
    0x0b3ull << 30,
    0x0b4ull << 30,
    0x0b5ull << 30,
    0x0b6ull << 30,
    0x0b7ull << 30,
    0x0b8ull << 30,
    0x0b9ull << 30,

    0x0c0ull << 30,
    0x0c1ull << 30,
    0x0c2ull << 30,
    0x0c3ull << 30,
    0x0c4ull << 30,
    0x0c5ull << 30,
    0x0c6ull << 30,
    0x0c7ull << 30,
    0x0c8ull << 30,
    0x0c9ull << 30,

    0x0d0ull << 30,
    0x0d1ull << 30,
    0x0d2ull << 30,
    0x0d3ull << 30,
    0x0d4ull << 30,
    0x0d5ull << 30,
    0x0d6ull << 30,
    0x0d7ull << 30,
    0x0d8ull << 30,
    0x0d9ull << 30,

    0x0e0ull << 30,
    0x0e1ull << 30,
    0x0e2ull << 30,
    0x0e3ull << 30,
    0x0e4ull << 30,
    0x0e5ull << 30,
    0x0e6ull << 30,
    0x0e7ull << 30,
    0x0e8ull << 30,
    0x0e9ull << 30,

    0x0f0ull << 30,
    0x0f1ull << 30,
    0x0f2ull << 30,
    0x0f3ull << 30,
    0x0f4ull << 30,
    0x0f5ull << 30,
    0x0f6ull << 30,
    0x0f7ull << 30,
    0x0f8ull << 30,
    0x0f9ull << 30,

    0x08aull << 30,
    0x08bull << 30,
    0x0aaull << 30,
    0x0abull << 30,
    0x0caull << 30,
    0x0cbull << 30,
    0x0eaull << 30,
    0x0ebull << 30,
    0x0ceull << 30,
    0x0cfull << 30,

    0x09aull << 30,
    0x09bull << 30,
    0x0baull << 30,
    0x0bbull << 30,
    0x0daull << 30,
    0x0dbull << 30,
    0x0faull << 30,
    0x0fbull << 30,
    0x0deull << 30,
    0x0dfull << 30,

    0x100ull << 30,
    0x101ull << 30,
    0x102ull << 30,
    0x103ull << 30,
    0x104ull << 30,
    0x105ull << 30,
    0x106ull << 30,
    0x107ull << 30,
    0x108ull << 30,
    0x109ull << 30,

    0x110ull << 30,
    0x111ull << 30,
    0x112ull << 30,
    0x113ull << 30,
    0x114ull << 30,
    0x115ull << 30,
    0x116ull << 30,
    0x117ull << 30,
    0x118ull << 30,
    0x119ull << 30,

    0x120ull << 30,
    0x121ull << 30,
    0x122ull << 30,
    0x123ull << 30,
    0x124ull << 30,
    0x125ull << 30,
    0x126ull << 30,
    0x127ull << 30,
    0x128ull << 30,
    0x129ull << 30,

    0x130ull << 30,
    0x131ull << 30,
    0x132ull << 30,
    0x133ull << 30,
    0x134ull << 30,
    0x135ull << 30,
    0x136ull << 30,
    0x137ull << 30,
    0x138ull << 30,
    0x139ull << 30,

    0x140ull << 30,
    0x141ull << 30,
    0x142ull << 30,
    0x143ull << 30,
    0x144ull << 30,
    0x145ull << 30,
    0x146ull << 30,
    0x147ull << 30,
    0x148ull << 30,
    0x149ull << 30,

    0x150ull << 30,
    0x151ull << 30,
    0x152ull << 30,
    0x153ull << 30,
    0x154ull << 30,
    0x155ull << 30,
    0x156ull << 30,
    0x157ull << 30,
    0x158ull << 30,
    0x159ull << 30,

    0x160ull << 30,
    0x161ull << 30,
    0x162ull << 30,
    0x163ull << 30,
    0x164ull << 30,
    0x165ull << 30,
    0x166ull << 30,
    0x167ull << 30,
    0x168ull << 30,
    0x169ull << 30,

    0x170ull << 30,
    0x171ull << 30,
    0x172ull << 30,
    0x173ull << 30,
    0x174ull << 30,
    0x175ull << 30,
    0x176ull << 30,
    0x177ull << 30,
    0x178ull << 30,
    0x179ull << 30,

    0x10aull << 30,
    0x10bull << 30,
    0x12aull << 30,
    0x12bull << 30,
    0x14aull << 30,
    0x14bull << 30,
    0x16aull << 30,
    0x16bull << 30,
    0x14eull << 30,
    0x14full << 30,

    0x11aull << 30,
    0x11bull << 30,
    0x13aull << 30,
    0x13bull << 30,
    0x15aull << 30,
    0x15bull << 30,
    0x17aull << 30,
    0x17bull << 30,
    0x15eull << 30,
    0x15full << 30,

    0x180ull << 30,
    0x181ull << 30,
    0x182ull << 30,
    0x183ull << 30,
    0x184ull << 30,
    0x185ull << 30,
    0x186ull << 30,
    0x187ull << 30,
    0x188ull << 30,
    0x189ull << 30,

    0x190ull << 30,
    0x191ull << 30,
    0x192ull << 30,
    0x193ull << 30,
    0x194ull << 30,
    0x195ull << 30,
    0x196ull << 30,
    0x197ull << 30,
    0x198ull << 30,
    0x199ull << 30,

    0x1a0ull << 30,
    0x1a1ull << 30,
    0x1a2ull << 30,
    0x1a3ull << 30,
    0x1a4ull << 30,
    0x1a5ull << 30,
    0x1a6ull << 30,
    0x1a7ull << 30,
    0x1a8ull << 30,
    0x1a9ull << 30,

    0x1b0ull << 30,
    0x1b1ull << 30,
    0x1b2ull << 30,
    0x1b3ull << 30,
    0x1b4ull << 30,
    0x1b5ull << 30,
    0x1b6ull << 30,
    0x1b7ull << 30,
    0x1b8ull << 30,
    0x1b9ull << 30,

    0x1c0ull << 30,
    0x1c1ull << 30,
    0x1c2ull << 30,
    0x1c3ull << 30,
    0x1c4ull << 30,
    0x1c5ull << 30,
    0x1c6ull << 30,
    0x1c7ull << 30,
    0x1c8ull << 30,
    0x1c9ull << 30,

    0x1d0ull << 30,
    0x1d1ull << 30,
    0x1d2ull << 30,
    0x1d3ull << 30,
    0x1d4ull << 30,
    0x1d5ull << 30,
    0x1d6ull << 30,
    0x1d7ull << 30,
    0x1d8ull << 30,
    0x1d9ull << 30,

    0x1e0ull << 30,
    0x1e1ull << 30,
    0x1e2ull << 30,
    0x1e3ull << 30,
    0x1e4ull << 30,
    0x1e5ull << 30,
    0x1e6ull << 30,
    0x1e7ull << 30,
    0x1e8ull << 30,
    0x1e9ull << 30,

    0x1f0ull << 30,
    0x1f1ull << 30,
    0x1f2ull << 30,
    0x1f3ull << 30,
    0x1f4ull << 30,
    0x1f5ull << 30,
    0x1f6ull << 30,
    0x1f7ull << 30,
    0x1f8ull << 30,
    0x1f9ull << 30,

    0x18aull << 30,
    0x18bull << 30,
    0x1aaull << 30,
    0x1abull << 30,
    0x1caull << 30,
    0x1cbull << 30,
    0x1eaull << 30,
    0x1ebull << 30,
    0x1ceull << 30,
    0x1cfull << 30,

    0x19aull << 30,
    0x19bull << 30,
    0x1baull << 30,
    0x1bbull << 30,
    0x1daull << 30,
    0x1dbull << 30,
    0x1faull << 30,
    0x1fbull << 30,
    0x1deull << 30,
    0x1dfull << 30,

    0x200ull << 30,
    0x201ull << 30,
    0x202ull << 30,
    0x203ull << 30,
    0x204ull << 30,
    0x205ull << 30,
    0x206ull << 30,
    0x207ull << 30,
    0x208ull << 30,
    0x209ull << 30,

    0x210ull << 30,
    0x211ull << 30,
    0x212ull << 30,
    0x213ull << 30,
    0x214ull << 30,
    0x215ull << 30,
    0x216ull << 30,
    0x217ull << 30,
    0x218ull << 30,
    0x219ull << 30,

    0x220ull << 30,
    0x221ull << 30,
    0x222ull << 30,
    0x223ull << 30,
    0x224ull << 30,
    0x225ull << 30,
    0x226ull << 30,
    0x227ull << 30,
    0x228ull << 30,
    0x229ull << 30,

    0x230ull << 30,
    0x231ull << 30,
    0x232ull << 30,
    0x233ull << 30,
    0x234ull << 30,
    0x235ull << 30,
    0x236ull << 30,
    0x237ull << 30,
    0x238ull << 30,
    0x239ull << 30,

    0x240ull << 30,
    0x241ull << 30,
    0x242ull << 30,
    0x243ull << 30,
    0x244ull << 30,
    0x245ull << 30,
    0x246ull << 30,
    0x247ull << 30,
    0x248ull << 30,
    0x249ull << 30,

    0x250ull << 30,
    0x251ull << 30,
    0x252ull << 30,
    0x253ull << 30,
    0x254ull << 30,
    0x255ull << 30,
    0x256ull << 30,
    0x257ull << 30,
    0x258ull << 30,
    0x259ull << 30,

    0x260ull << 30,
    0x261ull << 30,
    0x262ull << 30,
    0x263ull << 30,
    0x264ull << 30,
    0x265ull << 30,
    0x266ull << 30,
    0x267ull << 30,
    0x268ull << 30,
    0x269ull << 30,

    0x270ull << 30,
    0x271ull << 30,
    0x272ull << 30,
    0x273ull << 30,
    0x274ull << 30,
    0x275ull << 30,
    0x276ull << 30,
    0x277ull << 30,
    0x278ull << 30,
    0x279ull << 30,

    0x20aull << 30,
    0x20bull << 30,
    0x22aull << 30,
    0x22bull << 30,
    0x24aull << 30,
    0x24bull << 30,
    0x26aull << 30,
    0x26bull << 30,
    0x24eull << 30,
    0x24full << 30,

    0x21aull << 30,
    0x21bull << 30,
    0x23aull << 30,
    0x23bull << 30,
    0x25aull << 30,
    0x25bull << 30,
    0x27aull << 30,
    0x27bull << 30,
    0x25eull << 30,
    0x25full << 30,

    0x280ull << 30,
    0x281ull << 30,
    0x282ull << 30,
    0x283ull << 30,
    0x284ull << 30,
    0x285ull << 30,
    0x286ull << 30,
    0x287ull << 30,
    0x288ull << 30,
    0x289ull << 30,

    0x290ull << 30,
    0x291ull << 30,
    0x292ull << 30,
    0x293ull << 30,
    0x294ull << 30,
    0x295ull << 30,
    0x296ull << 30,
    0x297ull << 30,
    0x298ull << 30,
    0x299ull << 30,

    0x2a0ull << 30,
    0x2a1ull << 30,
    0x2a2ull << 30,
    0x2a3ull << 30,
    0x2a4ull << 30,
    0x2a5ull << 30,
    0x2a6ull << 30,
    0x2a7ull << 30,
    0x2a8ull << 30,
    0x2a9ull << 30,

    0x2b0ull << 30,
    0x2b1ull << 30,
    0x2b2ull << 30,
    0x2b3ull << 30,
    0x2b4ull << 30,
    0x2b5ull << 30,
    0x2b6ull << 30,
    0x2b7ull << 30,
    0x2b8ull << 30,
    0x2b9ull << 30,

    0x2c0ull << 30,
    0x2c1ull << 30,
    0x2c2ull << 30,
    0x2c3ull << 30,
    0x2c4ull << 30,
    0x2c5ull << 30,
    0x2c6ull << 30,
    0x2c7ull << 30,
    0x2c8ull << 30,
    0x2c9ull << 30,

    0x2d0ull << 30,
    0x2d1ull << 30,
    0x2d2ull << 30,
    0x2d3ull << 30,
    0x2d4ull << 30,
    0x2d5ull << 30,
    0x2d6ull << 30,
    0x2d7ull << 30,
    0x2d8ull << 30,
    0x2d9ull << 30,

    0x2e0ull << 30,
    0x2e1ull << 30,
    0x2e2ull << 30,
    0x2e3ull << 30,
    0x2e4ull << 30,
    0x2e5ull << 30,
    0x2e6ull << 30,
    0x2e7ull << 30,
    0x2e8ull << 30,
    0x2e9ull << 30,

    0x2f0ull << 30,
    0x2f1ull << 30,
    0x2f2ull << 30,
    0x2f3ull << 30,
    0x2f4ull << 30,
    0x2f5ull << 30,
    0x2f6ull << 30,
    0x2f7ull << 30,
    0x2f8ull << 30,
    0x2f9ull << 30,

    0x28aull << 30,
    0x28bull << 30,
    0x2aaull << 30,
    0x2abull << 30,
    0x2caull << 30,
    0x2cbull << 30,
    0x2eaull << 30,
    0x2ebull << 30,
    0x2ceull << 30,
    0x2cfull << 30,

    0x29aull << 30,
    0x29bull << 30,
    0x2baull << 30,
    0x2bbull << 30,
    0x2daull << 30,
    0x2dbull << 30,
    0x2faull << 30,
    0x2fbull << 30,
    0x2deull << 30,
    0x2dfull << 30,

    0x300ull << 30,
    0x301ull << 30,
    0x302ull << 30,
    0x303ull << 30,
    0x304ull << 30,
    0x305ull << 30,
    0x306ull << 30,
    0x307ull << 30,
    0x308ull << 30,
    0x309ull << 30,

    0x310ull << 30,
    0x311ull << 30,
    0x312ull << 30,
    0x313ull << 30,
    0x314ull << 30,
    0x315ull << 30,
    0x316ull << 30,
    0x317ull << 30,
    0x318ull << 30,
    0x319ull << 30,

    0x320ull << 30,
    0x321ull << 30,
    0x322ull << 30,
    0x323ull << 30,
    0x324ull << 30,
    0x325ull << 30,
    0x326ull << 30,
    0x327ull << 30,
    0x328ull << 30,
    0x329ull << 30,

    0x330ull << 30,
    0x331ull << 30,
    0x332ull << 30,
    0x333ull << 30,
    0x334ull << 30,
    0x335ull << 30,
    0x336ull << 30,
    0x337ull << 30,
    0x338ull << 30,
    0x339ull << 30,

    0x340ull << 30,
    0x341ull << 30,
    0x342ull << 30,
    0x343ull << 30,
    0x344ull << 30,
    0x345ull << 30,
    0x346ull << 30,
    0x347ull << 30,
    0x348ull << 30,
    0x349ull << 30,

    0x350ull << 30,
    0x351ull << 30,
    0x352ull << 30,
    0x353ull << 30,
    0x354ull << 30,
    0x355ull << 30,
    0x356ull << 30,
    0x357ull << 30,
    0x358ull << 30,
    0x359ull << 30,

    0x360ull << 30,
    0x361ull << 30,
    0x362ull << 30,
    0x363ull << 30,
    0x364ull << 30,
    0x365ull << 30,
    0x366ull << 30,
    0x367ull << 30,
    0x368ull << 30,
    0x369ull << 30,

    0x370ull << 30,
    0x371ull << 30,
    0x372ull << 30,
    0x373ull << 30,
    0x374ull << 30,
    0x375ull << 30,
    0x376ull << 30,
    0x377ull << 30,
    0x378ull << 30,
    0x379ull << 30,

    0x30aull << 30,
    0x30bull << 30,
    0x32aull << 30,
    0x32bull << 30,
    0x34aull << 30,
    0x34bull << 30,
    0x36aull << 30,
    0x36bull << 30,
    0x34eull << 30,
    0x34full << 30,

    0x31aull << 30,
    0x31bull << 30,
    0x33aull << 30,
    0x33bull << 30,
    0x35aull << 30,
    0x35bull << 30,
    0x37aull << 30,
    0x37bull << 30,
    0x35eull << 30,
    0x35full << 30,

    0x380ull << 30,
    0x381ull << 30,
    0x382ull << 30,
    0x383ull << 30,
    0x384ull << 30,
    0x385ull << 30,
    0x386ull << 30,
    0x387ull << 30,
    0x388ull << 30,
    0x389ull << 30,

    0x390ull << 30,
    0x391ull << 30,
    0x392ull << 30,
    0x393ull << 30,
    0x394ull << 30,
    0x395ull << 30,
    0x396ull << 30,
    0x397ull << 30,
    0x398ull << 30,
    0x399ull << 30,

    0x3a0ull << 30,
    0x3a1ull << 30,
    0x3a2ull << 30,
    0x3a3ull << 30,
    0x3a4ull << 30,
    0x3a5ull << 30,
    0x3a6ull << 30,
    0x3a7ull << 30,
    0x3a8ull << 30,
    0x3a9ull << 30,

    0x3b0ull << 30,
    0x3b1ull << 30,
    0x3b2ull << 30,
    0x3b3ull << 30,
    0x3b4ull << 30,
    0x3b5ull << 30,
    0x3b6ull << 30,
    0x3b7ull << 30,
    0x3b8ull << 30,
    0x3b9ull << 30,

    0x3c0ull << 30,
    0x3c1ull << 30,
    0x3c2ull << 30,
    0x3c3ull << 30,
    0x3c4ull << 30,
    0x3c5ull << 30,
    0x3c6ull << 30,
    0x3c7ull << 30,
    0x3c8ull << 30,
    0x3c9ull << 30,

    0x3d0ull << 30,
    0x3d1ull << 30,
    0x3d2ull << 30,
    0x3d3ull << 30,
    0x3d4ull << 30,
    0x3d5ull << 30,
    0x3d6ull << 30,
    0x3d7ull << 30,
    0x3d8ull << 30,
    0x3d9ull << 30,

    0x3e0ull << 30,
    0x3e1ull << 30,
    0x3e2ull << 30,
    0x3e3ull << 30,
    0x3e4ull << 30,
    0x3e5ull << 30,
    0x3e6ull << 30,
    0x3e7ull << 30,
    0x3e8ull << 30,
    0x3e9ull << 30,

    0x3f0ull << 30,
    0x3f1ull << 30,
    0x3f2ull << 30,
    0x3f3ull << 30,
    0x3f4ull << 30,
    0x3f5ull << 30,
    0x3f6ull << 30,
    0x3f7ull << 30,
    0x3f8ull << 30,
    0x3f9ull << 30,

    0x38aull << 30,
    0x38bull << 30,
    0x3aaull << 30,
    0x3abull << 30,
    0x3caull << 30,
    0x3cbull << 30,
    0x3eaull << 30,
    0x3ebull << 30,
    0x3ceull << 30,
    0x3cfull << 30,

    0x39aull << 30,
    0x39bull << 30,
    0x3baull << 30,
    0x3bbull << 30,
    0x3daull << 30,
    0x3dbull << 30,
    0x3faull << 30,
    0x3fbull << 30,
    0x3deull << 30,
    0x3dfull << 30,

    0x00cull << 30,
    0x00dull << 30,
    0x10cull << 30,
    0x10dull << 30,
    0x20cull << 30,
    0x20dull << 30,
    0x30cull << 30,
    0x30dull << 30,
    0x02eull << 30,
    0x02full << 30,

    0x01cull << 30,
    0x01dull << 30,
    0x11cull << 30,
    0x11dull << 30,
    0x21cull << 30,
    0x21dull << 30,
    0x31cull << 30,
    0x31dull << 30,
    0x03eull << 30,
    0x03full << 30,

    0x02cull << 30,
    0x02dull << 30,
    0x12cull << 30,
    0x12dull << 30,
    0x22cull << 30,
    0x22dull << 30,
    0x32cull << 30,
    0x32dull << 30,
    0x12eull << 30,
    0x12full << 30,

    0x03cull << 30,
    0x03dull << 30,
    0x13cull << 30,
    0x13dull << 30,
    0x23cull << 30,
    0x23dull << 30,
    0x33cull << 30,
    0x33dull << 30,
    0x13eull << 30,
    0x13full << 30,

    0x04cull << 30,
    0x04dull << 30,
    0x14cull << 30,
    0x14dull << 30,
    0x24cull << 30,
    0x24dull << 30,
    0x34cull << 30,
    0x34dull << 30,
    0x22eull << 30,
    0x22full << 30,

    0x05cull << 30,
    0x05dull << 30,
    0x15cull << 30,
    0x15dull << 30,
    0x25cull << 30,
    0x25dull << 30,
    0x35cull << 30,
    0x35dull << 30,
    0x23eull << 30,
    0x23full << 30,

    0x06cull << 30,
    0x06dull << 30,
    0x16cull << 30,
    0x16dull << 30,
    0x26cull << 30,
    0x26dull << 30,
    0x36cull << 30,
    0x36dull << 30,
    0x32eull << 30,
    0x32full << 30,

    0x07cull << 30,
    0x07dull << 30,
    0x17cull << 30,
    0x17dull << 30,
    0x27cull << 30,
    0x27dull << 30,
    0x37cull << 30,
    0x37dull << 30,
    0x33eull << 30,
    0x33full << 30,

    0x00eull << 30,
    0x00full << 30,
    0x10eull << 30,
    0x10full << 30,
    0x20eull << 30,
    0x20full << 30,
    0x30eull << 30,
    0x30full << 30,
    0x06eull << 30,
    0x06full << 30,

    0x01eull << 30,
    0x01full << 30,
    0x11eull << 30,
    0x11full << 30,
    0x21eull << 30,
    0x21full << 30,
    0x31eull << 30,
    0x31full << 30,
    0x07eull << 30,
    0x07full << 30,

    0x08cull << 30,
    0x08dull << 30,
    0x18cull << 30,
    0x18dull << 30,
    0x28cull << 30,
    0x28dull << 30,
    0x38cull << 30,
    0x38dull << 30,
    0x0aeull << 30,
    0x0afull << 30,

    0x09cull << 30,
    0x09dull << 30,
    0x19cull << 30,
    0x19dull << 30,
    0x29cull << 30,
    0x29dull << 30,
    0x39cull << 30,
    0x39dull << 30,
    0x0beull << 30,
    0x0bfull << 30,

    0x0acull << 30,
    0x0adull << 30,
    0x1acull << 30,
    0x1adull << 30,
    0x2acull << 30,
    0x2adull << 30,
    0x3acull << 30,
    0x3adull << 30,
    0x1aeull << 30,
    0x1afull << 30,

    0x0bcull << 30,
    0x0bdull << 30,
    0x1bcull << 30,
    0x1bdull << 30,
    0x2bcull << 30,
    0x2bdull << 30,
    0x3bcull << 30,
    0x3bdull << 30,
    0x1beull << 30,
    0x1bfull << 30,

    0x0ccull << 30,
    0x0cdull << 30,
    0x1ccull << 30,
    0x1cdull << 30,
    0x2ccull << 30,
    0x2cdull << 30,
    0x3ccull << 30,
    0x3cdull << 30,
    0x2aeull << 30,
    0x2afull << 30,

    0x0dcull << 30,
    0x0ddull << 30,
    0x1dcull << 30,
    0x1ddull << 30,
    0x2dcull << 30,
    0x2ddull << 30,
    0x3dcull << 30,
    0x3ddull << 30,
    0x2beull << 30,
    0x2bfull << 30,

    0x0ecull << 30,
    0x0edull << 30,
    0x1ecull << 30,
    0x1edull << 30,
    0x2ecull << 30,
    0x2edull << 30,
    0x3ecull << 30,
    0x3edull << 30,
    0x3aeull << 30,
    0x3afull << 30,

    0x0fcull << 30,
    0x0fdull << 30,
    0x1fcull << 30,
    0x1fdull << 30,
    0x2fcull << 30,
    0x2fdull << 30,
    0x3fcull << 30,
    0x3fdull << 30,
    0x3beull << 30,
    0x3bfull << 30,

    0x08eull << 30,
    0x08full << 30,
    0x18eull << 30,
    0x18full << 30,
    0x28eull << 30,
    0x28full << 30,
    0x38eull << 30,
    0x38full << 30,
    0x0eeull << 30,
    0x0efull << 30,

    0x09eull << 30,
    0x09full << 30,
    0x19eull << 30,
    0x19full << 30,
    0x29eull << 30,
    0x29full << 30,
    0x39eull << 30,
    0x39full << 30,
    0x0feull << 30,
    0x0ffull << 30 
};

static const UINT64 b2d5[] = {
    0x000ull << 40,
    0x001ull << 40,
    0x002ull << 40,
    0x003ull << 40,
    0x004ull << 40,
    0x005ull << 40,
    0x006ull << 40,
    0x007ull << 40,
    0x008ull << 40,
    0x009ull << 40,

    0x010ull << 40,
    0x011ull << 40,
    0x012ull << 40,
    0x013ull << 40,
    0x014ull << 40,
    0x015ull << 40,
    0x016ull << 40,
    0x017ull << 40,
    0x018ull << 40,
    0x019ull << 40,

    0x020ull << 40,
    0x021ull << 40,
    0x022ull << 40,
    0x023ull << 40,
    0x024ull << 40,
    0x025ull << 40,
    0x026ull << 40,
    0x027ull << 40,
    0x028ull << 40,
    0x029ull << 40,

    0x030ull << 40,
    0x031ull << 40,
    0x032ull << 40,
    0x033ull << 40,
    0x034ull << 40,
    0x035ull << 40,
    0x036ull << 40,
    0x037ull << 40,
    0x038ull << 40,
    0x039ull << 40,

    0x040ull << 40,
    0x041ull << 40,
    0x042ull << 40,
    0x043ull << 40,
    0x044ull << 40,
    0x045ull << 40,
    0x046ull << 40,
    0x047ull << 40,
    0x048ull << 40,
    0x049ull << 40,

    0x050ull << 40,
    0x051ull << 40,
    0x052ull << 40,
    0x053ull << 40,
    0x054ull << 40,
    0x055ull << 40,
    0x056ull << 40,
    0x057ull << 40,
    0x058ull << 40,
    0x059ull << 40,

    0x060ull << 40,
    0x061ull << 40,
    0x062ull << 40,
    0x063ull << 40,
    0x064ull << 40,
    0x065ull << 40,
    0x066ull << 40,
    0x067ull << 40,
    0x068ull << 40,
    0x069ull << 40,

    0x070ull << 40,
    0x071ull << 40,
    0x072ull << 40,
    0x073ull << 40,
    0x074ull << 40,
    0x075ull << 40,
    0x076ull << 40,
    0x077ull << 40,
    0x078ull << 40,
    0x079ull << 40,

    0x00aull << 40,
    0x00bull << 40,
    0x02aull << 40,
    0x02bull << 40,
    0x04aull << 40,
    0x04bull << 40,
    0x06aull << 40,
    0x06bull << 40,
    0x04eull << 40,
    0x04full << 40,

    0x01aull << 40,
    0x01bull << 40,
    0x03aull << 40,
    0x03bull << 40,
    0x05aull << 40,
    0x05bull << 40,
    0x07aull << 40,
    0x07bull << 40,
    0x05eull << 40,
    0x05full << 40,

    0x080ull << 40,
    0x081ull << 40,
    0x082ull << 40,
    0x083ull << 40,
    0x084ull << 40,
    0x085ull << 40,
    0x086ull << 40,
    0x087ull << 40,
    0x088ull << 40,
    0x089ull << 40,

    0x090ull << 40,
    0x091ull << 40,
    0x092ull << 40,
    0x093ull << 40,
    0x094ull << 40,
    0x095ull << 40,
    0x096ull << 40,
    0x097ull << 40,
    0x098ull << 40,
    0x099ull << 40,

    0x0a0ull << 40,
    0x0a1ull << 40,
    0x0a2ull << 40,
    0x0a3ull << 40,
    0x0a4ull << 40,
    0x0a5ull << 40,
    0x0a6ull << 40,
    0x0a7ull << 40,
    0x0a8ull << 40,
    0x0a9ull << 40,

    0x0b0ull << 40,
    0x0b1ull << 40,
    0x0b2ull << 40,
    0x0b3ull << 40,
    0x0b4ull << 40,
    0x0b5ull << 40,
    0x0b6ull << 40,
    0x0b7ull << 40,
    0x0b8ull << 40,
    0x0b9ull << 40,

    0x0c0ull << 40,
    0x0c1ull << 40,
    0x0c2ull << 40,
    0x0c3ull << 40,
    0x0c4ull << 40,
    0x0c5ull << 40,
    0x0c6ull << 40,
    0x0c7ull << 40,
    0x0c8ull << 40,
    0x0c9ull << 40,

    0x0d0ull << 40,
    0x0d1ull << 40,
    0x0d2ull << 40,
    0x0d3ull << 40,
    0x0d4ull << 40,
    0x0d5ull << 40,
    0x0d6ull << 40,
    0x0d7ull << 40,
    0x0d8ull << 40,
    0x0d9ull << 40,

    0x0e0ull << 40,
    0x0e1ull << 40,
    0x0e2ull << 40,
    0x0e3ull << 40,
    0x0e4ull << 40,
    0x0e5ull << 40,
    0x0e6ull << 40,
    0x0e7ull << 40,
    0x0e8ull << 40,
    0x0e9ull << 40,

    0x0f0ull << 40,
    0x0f1ull << 40,
    0x0f2ull << 40,
    0x0f3ull << 40,
    0x0f4ull << 40,
    0x0f5ull << 40,
    0x0f6ull << 40,
    0x0f7ull << 40,
    0x0f8ull << 40,
    0x0f9ull << 40,

    0x08aull << 40,
    0x08bull << 40,
    0x0aaull << 40,
    0x0abull << 40,
    0x0caull << 40,
    0x0cbull << 40,
    0x0eaull << 40,
    0x0ebull << 40,
    0x0ceull << 40,
    0x0cfull << 40,

    0x09aull << 40,
    0x09bull << 40,
    0x0baull << 40,
    0x0bbull << 40,
    0x0daull << 40,
    0x0dbull << 40,
    0x0faull << 40,
    0x0fbull << 40,
    0x0deull << 40,
    0x0dfull << 40,

    0x100ull << 40,
    0x101ull << 40,
    0x102ull << 40,
    0x103ull << 40,
    0x104ull << 40,
    0x105ull << 40,
    0x106ull << 40,
    0x107ull << 40,
    0x108ull << 40,
    0x109ull << 40,

    0x110ull << 40,
    0x111ull << 40,
    0x112ull << 40,
    0x113ull << 40,
    0x114ull << 40,
    0x115ull << 40,
    0x116ull << 40,
    0x117ull << 40,
    0x118ull << 40,
    0x119ull << 40,

    0x120ull << 40,
    0x121ull << 40,
    0x122ull << 40,
    0x123ull << 40,
    0x124ull << 40,
    0x125ull << 40,
    0x126ull << 40,
    0x127ull << 40,
    0x128ull << 40,
    0x129ull << 40,

    0x130ull << 40,
    0x131ull << 40,
    0x132ull << 40,
    0x133ull << 40,
    0x134ull << 40,
    0x135ull << 40,
    0x136ull << 40,
    0x137ull << 40,
    0x138ull << 40,
    0x139ull << 40,

    0x140ull << 40,
    0x141ull << 40,
    0x142ull << 40,
    0x143ull << 40,
    0x144ull << 40,
    0x145ull << 40,
    0x146ull << 40,
    0x147ull << 40,
    0x148ull << 40,
    0x149ull << 40,

    0x150ull << 40,
    0x151ull << 40,
    0x152ull << 40,
    0x153ull << 40,
    0x154ull << 40,
    0x155ull << 40,
    0x156ull << 40,
    0x157ull << 40,
    0x158ull << 40,
    0x159ull << 40,

    0x160ull << 40,
    0x161ull << 40,
    0x162ull << 40,
    0x163ull << 40,
    0x164ull << 40,
    0x165ull << 40,
    0x166ull << 40,
    0x167ull << 40,
    0x168ull << 40,
    0x169ull << 40,

    0x170ull << 40,
    0x171ull << 40,
    0x172ull << 40,
    0x173ull << 40,
    0x174ull << 40,
    0x175ull << 40,
    0x176ull << 40,
    0x177ull << 40,
    0x178ull << 40,
    0x179ull << 40,

    0x10aull << 40,
    0x10bull << 40,
    0x12aull << 40,
    0x12bull << 40,
    0x14aull << 40,
    0x14bull << 40,
    0x16aull << 40,
    0x16bull << 40,
    0x14eull << 40,
    0x14full << 40,

    0x11aull << 40,
    0x11bull << 40,
    0x13aull << 40,
    0x13bull << 40,
    0x15aull << 40,
    0x15bull << 40,
    0x17aull << 40,
    0x17bull << 40,
    0x15eull << 40,
    0x15full << 40,

    0x180ull << 40,
    0x181ull << 40,
    0x182ull << 40,
    0x183ull << 40,
    0x184ull << 40,
    0x185ull << 40,
    0x186ull << 40,
    0x187ull << 40,
    0x188ull << 40,
    0x189ull << 40,

    0x190ull << 40,
    0x191ull << 40,
    0x192ull << 40,
    0x193ull << 40,
    0x194ull << 40,
    0x195ull << 40,
    0x196ull << 40,
    0x197ull << 40,
    0x198ull << 40,
    0x199ull << 40,

    0x1a0ull << 40,
    0x1a1ull << 40,
    0x1a2ull << 40,
    0x1a3ull << 40,
    0x1a4ull << 40,
    0x1a5ull << 40,
    0x1a6ull << 40,
    0x1a7ull << 40,
    0x1a8ull << 40,
    0x1a9ull << 40,

    0x1b0ull << 40,
    0x1b1ull << 40,
    0x1b2ull << 40,
    0x1b3ull << 40,
    0x1b4ull << 40,
    0x1b5ull << 40,
    0x1b6ull << 40,
    0x1b7ull << 40,
    0x1b8ull << 40,
    0x1b9ull << 40,

    0x1c0ull << 40,
    0x1c1ull << 40,
    0x1c2ull << 40,
    0x1c3ull << 40,
    0x1c4ull << 40,
    0x1c5ull << 40,
    0x1c6ull << 40,
    0x1c7ull << 40,
    0x1c8ull << 40,
    0x1c9ull << 40,

    0x1d0ull << 40,
    0x1d1ull << 40,
    0x1d2ull << 40,
    0x1d3ull << 40,
    0x1d4ull << 40,
    0x1d5ull << 40,
    0x1d6ull << 40,
    0x1d7ull << 40,
    0x1d8ull << 40,
    0x1d9ull << 40,

    0x1e0ull << 40,
    0x1e1ull << 40,
    0x1e2ull << 40,
    0x1e3ull << 40,
    0x1e4ull << 40,
    0x1e5ull << 40,
    0x1e6ull << 40,
    0x1e7ull << 40,
    0x1e8ull << 40,
    0x1e9ull << 40,

    0x1f0ull << 40,
    0x1f1ull << 40,
    0x1f2ull << 40,
    0x1f3ull << 40,
    0x1f4ull << 40,
    0x1f5ull << 40,
    0x1f6ull << 40,
    0x1f7ull << 40,
    0x1f8ull << 40,
    0x1f9ull << 40,

    0x18aull << 40,
    0x18bull << 40,
    0x1aaull << 40,
    0x1abull << 40,
    0x1caull << 40,
    0x1cbull << 40,
    0x1eaull << 40,
    0x1ebull << 40,
    0x1ceull << 40,
    0x1cfull << 40,

    0x19aull << 40,
    0x19bull << 40,
    0x1baull << 40,
    0x1bbull << 40,
    0x1daull << 40,
    0x1dbull << 40,
    0x1faull << 40,
    0x1fbull << 40,
    0x1deull << 40,
    0x1dfull << 40,

    0x200ull << 40,
    0x201ull << 40,
    0x202ull << 40,
    0x203ull << 40,
    0x204ull << 40,
    0x205ull << 40,
    0x206ull << 40,
    0x207ull << 40,
    0x208ull << 40,
    0x209ull << 40,

    0x210ull << 40,
    0x211ull << 40,
    0x212ull << 40,
    0x213ull << 40,
    0x214ull << 40,
    0x215ull << 40,
    0x216ull << 40,
    0x217ull << 40,
    0x218ull << 40,
    0x219ull << 40,

    0x220ull << 40,
    0x221ull << 40,
    0x222ull << 40,
    0x223ull << 40,
    0x224ull << 40,
    0x225ull << 40,
    0x226ull << 40,
    0x227ull << 40,
    0x228ull << 40,
    0x229ull << 40,

    0x230ull << 40,
    0x231ull << 40,
    0x232ull << 40,
    0x233ull << 40,
    0x234ull << 40,
    0x235ull << 40,
    0x236ull << 40,
    0x237ull << 40,
    0x238ull << 40,
    0x239ull << 40,

    0x240ull << 40,
    0x241ull << 40,
    0x242ull << 40,
    0x243ull << 40,
    0x244ull << 40,
    0x245ull << 40,
    0x246ull << 40,
    0x247ull << 40,
    0x248ull << 40,
    0x249ull << 40,

    0x250ull << 40,
    0x251ull << 40,
    0x252ull << 40,
    0x253ull << 40,
    0x254ull << 40,
    0x255ull << 40,
    0x256ull << 40,
    0x257ull << 40,
    0x258ull << 40,
    0x259ull << 40,

    0x260ull << 40,
    0x261ull << 40,
    0x262ull << 40,
    0x263ull << 40,
    0x264ull << 40,
    0x265ull << 40,
    0x266ull << 40,
    0x267ull << 40,
    0x268ull << 40,
    0x269ull << 40,

    0x270ull << 40,
    0x271ull << 40,
    0x272ull << 40,
    0x273ull << 40,
    0x274ull << 40,
    0x275ull << 40,
    0x276ull << 40,
    0x277ull << 40,
    0x278ull << 40,
    0x279ull << 40,

    0x20aull << 40,
    0x20bull << 40,
    0x22aull << 40,
    0x22bull << 40,
    0x24aull << 40,
    0x24bull << 40,
    0x26aull << 40,
    0x26bull << 40,
    0x24eull << 40,
    0x24full << 40,

    0x21aull << 40,
    0x21bull << 40,
    0x23aull << 40,
    0x23bull << 40,
    0x25aull << 40,
    0x25bull << 40,
    0x27aull << 40,
    0x27bull << 40,
    0x25eull << 40,
    0x25full << 40,

    0x280ull << 40,
    0x281ull << 40,
    0x282ull << 40,
    0x283ull << 40,
    0x284ull << 40,
    0x285ull << 40,
    0x286ull << 40,
    0x287ull << 40,
    0x288ull << 40,
    0x289ull << 40,

    0x290ull << 40,
    0x291ull << 40,
    0x292ull << 40,
    0x293ull << 40,
    0x294ull << 40,
    0x295ull << 40,
    0x296ull << 40,
    0x297ull << 40,
    0x298ull << 40,
    0x299ull << 40,

    0x2a0ull << 40,
    0x2a1ull << 40,
    0x2a2ull << 40,
    0x2a3ull << 40,
    0x2a4ull << 40,
    0x2a5ull << 40,
    0x2a6ull << 40,
    0x2a7ull << 40,
    0x2a8ull << 40,
    0x2a9ull << 40,

    0x2b0ull << 40,
    0x2b1ull << 40,
    0x2b2ull << 40,
    0x2b3ull << 40,
    0x2b4ull << 40,
    0x2b5ull << 40,
    0x2b6ull << 40,
    0x2b7ull << 40,
    0x2b8ull << 40,
    0x2b9ull << 40,

    0x2c0ull << 40,
    0x2c1ull << 40,
    0x2c2ull << 40,
    0x2c3ull << 40,
    0x2c4ull << 40,
    0x2c5ull << 40,
    0x2c6ull << 40,
    0x2c7ull << 40,
    0x2c8ull << 40,
    0x2c9ull << 40,

    0x2d0ull << 40,
    0x2d1ull << 40,
    0x2d2ull << 40,
    0x2d3ull << 40,
    0x2d4ull << 40,
    0x2d5ull << 40,
    0x2d6ull << 40,
    0x2d7ull << 40,
    0x2d8ull << 40,
    0x2d9ull << 40,

    0x2e0ull << 40,
    0x2e1ull << 40,
    0x2e2ull << 40,
    0x2e3ull << 40,
    0x2e4ull << 40,
    0x2e5ull << 40,
    0x2e6ull << 40,
    0x2e7ull << 40,
    0x2e8ull << 40,
    0x2e9ull << 40,

    0x2f0ull << 40,
    0x2f1ull << 40,
    0x2f2ull << 40,
    0x2f3ull << 40,
    0x2f4ull << 40,
    0x2f5ull << 40,
    0x2f6ull << 40,
    0x2f7ull << 40,
    0x2f8ull << 40,
    0x2f9ull << 40,

    0x28aull << 40,
    0x28bull << 40,
    0x2aaull << 40,
    0x2abull << 40,
    0x2caull << 40,
    0x2cbull << 40,
    0x2eaull << 40,
    0x2ebull << 40,
    0x2ceull << 40,
    0x2cfull << 40,

    0x29aull << 40,
    0x29bull << 40,
    0x2baull << 40,
    0x2bbull << 40,
    0x2daull << 40,
    0x2dbull << 40,
    0x2faull << 40,
    0x2fbull << 40,
    0x2deull << 40,
    0x2dfull << 40,

    0x300ull << 40,
    0x301ull << 40,
    0x302ull << 40,
    0x303ull << 40,
    0x304ull << 40,
    0x305ull << 40,
    0x306ull << 40,
    0x307ull << 40,
    0x308ull << 40,
    0x309ull << 40,

    0x310ull << 40,
    0x311ull << 40,
    0x312ull << 40,
    0x313ull << 40,
    0x314ull << 40,
    0x315ull << 40,
    0x316ull << 40,
    0x317ull << 40,
    0x318ull << 40,
    0x319ull << 40,

    0x320ull << 40,
    0x321ull << 40,
    0x322ull << 40,
    0x323ull << 40,
    0x324ull << 40,
    0x325ull << 40,
    0x326ull << 40,
    0x327ull << 40,
    0x328ull << 40,
    0x329ull << 40,

    0x330ull << 40,
    0x331ull << 40,
    0x332ull << 40,
    0x333ull << 40,
    0x334ull << 40,
    0x335ull << 40,
    0x336ull << 40,
    0x337ull << 40,
    0x338ull << 40,
    0x339ull << 40,

    0x340ull << 40,
    0x341ull << 40,
    0x342ull << 40,
    0x343ull << 40,
    0x344ull << 40,
    0x345ull << 40,
    0x346ull << 40,
    0x347ull << 40,
    0x348ull << 40,
    0x349ull << 40,

    0x350ull << 40,
    0x351ull << 40,
    0x352ull << 40,
    0x353ull << 40,
    0x354ull << 40,
    0x355ull << 40,
    0x356ull << 40,
    0x357ull << 40,
    0x358ull << 40,
    0x359ull << 40,

    0x360ull << 40,
    0x361ull << 40,
    0x362ull << 40,
    0x363ull << 40,
    0x364ull << 40,
    0x365ull << 40,
    0x366ull << 40,
    0x367ull << 40,
    0x368ull << 40,
    0x369ull << 40,

    0x370ull << 40,
    0x371ull << 40,
    0x372ull << 40,
    0x373ull << 40,
    0x374ull << 40,
    0x375ull << 40,
    0x376ull << 40,
    0x377ull << 40,
    0x378ull << 40,
    0x379ull << 40,

    0x30aull << 40,
    0x30bull << 40,
    0x32aull << 40,
    0x32bull << 40,
    0x34aull << 40,
    0x34bull << 40,
    0x36aull << 40,
    0x36bull << 40,
    0x34eull << 40,
    0x34full << 40,

    0x31aull << 40,
    0x31bull << 40,
    0x33aull << 40,
    0x33bull << 40,
    0x35aull << 40,
    0x35bull << 40,
    0x37aull << 40,
    0x37bull << 40,
    0x35eull << 40,
    0x35full << 40,

    0x380ull << 40,
    0x381ull << 40,
    0x382ull << 40,
    0x383ull << 40,
    0x384ull << 40,
    0x385ull << 40,
    0x386ull << 40,
    0x387ull << 40,
    0x388ull << 40,
    0x389ull << 40,

    0x390ull << 40,
    0x391ull << 40,
    0x392ull << 40,
    0x393ull << 40,
    0x394ull << 40,
    0x395ull << 40,
    0x396ull << 40,
    0x397ull << 40,
    0x398ull << 40,
    0x399ull << 40,

    0x3a0ull << 40,
    0x3a1ull << 40,
    0x3a2ull << 40,
    0x3a3ull << 40,
    0x3a4ull << 40,
    0x3a5ull << 40,
    0x3a6ull << 40,
    0x3a7ull << 40,
    0x3a8ull << 40,
    0x3a9ull << 40,

    0x3b0ull << 40,
    0x3b1ull << 40,
    0x3b2ull << 40,
    0x3b3ull << 40,
    0x3b4ull << 40,
    0x3b5ull << 40,
    0x3b6ull << 40,
    0x3b7ull << 40,
    0x3b8ull << 40,
    0x3b9ull << 40,

    0x3c0ull << 40,
    0x3c1ull << 40,
    0x3c2ull << 40,
    0x3c3ull << 40,
    0x3c4ull << 40,
    0x3c5ull << 40,
    0x3c6ull << 40,
    0x3c7ull << 40,
    0x3c8ull << 40,
    0x3c9ull << 40,

    0x3d0ull << 40,
    0x3d1ull << 40,
    0x3d2ull << 40,
    0x3d3ull << 40,
    0x3d4ull << 40,
    0x3d5ull << 40,
    0x3d6ull << 40,
    0x3d7ull << 40,
    0x3d8ull << 40,
    0x3d9ull << 40,

    0x3e0ull << 40,
    0x3e1ull << 40,
    0x3e2ull << 40,
    0x3e3ull << 40,
    0x3e4ull << 40,
    0x3e5ull << 40,
    0x3e6ull << 40,
    0x3e7ull << 40,
    0x3e8ull << 40,
    0x3e9ull << 40,

    0x3f0ull << 40,
    0x3f1ull << 40,
    0x3f2ull << 40,
    0x3f3ull << 40,
    0x3f4ull << 40,
    0x3f5ull << 40,
    0x3f6ull << 40,
    0x3f7ull << 40,
    0x3f8ull << 40,
    0x3f9ull << 40,

    0x38aull << 40,
    0x38bull << 40,
    0x3aaull << 40,
    0x3abull << 40,
    0x3caull << 40,
    0x3cbull << 40,
    0x3eaull << 40,
    0x3ebull << 40,
    0x3ceull << 40,
    0x3cfull << 40,

    0x39aull << 40,
    0x39bull << 40,
    0x3baull << 40,
    0x3bbull << 40,
    0x3daull << 40,
    0x3dbull << 40,
    0x3faull << 40,
    0x3fbull << 40,
    0x3deull << 40,
    0x3dfull << 40,

    0x00cull << 40,
    0x00dull << 40,
    0x10cull << 40,
    0x10dull << 40,
    0x20cull << 40,
    0x20dull << 40,
    0x30cull << 40,
    0x30dull << 40,
    0x02eull << 40,
    0x02full << 40,

    0x01cull << 40,
    0x01dull << 40,
    0x11cull << 40,
    0x11dull << 40,
    0x21cull << 40,
    0x21dull << 40,
    0x31cull << 40,
    0x31dull << 40,
    0x03eull << 40,
    0x03full << 40,

    0x02cull << 40,
    0x02dull << 40,
    0x12cull << 40,
    0x12dull << 40,
    0x22cull << 40,
    0x22dull << 40,
    0x32cull << 40,
    0x32dull << 40,
    0x12eull << 40,
    0x12full << 40,

    0x03cull << 40,
    0x03dull << 40,
    0x13cull << 40,
    0x13dull << 40,
    0x23cull << 40,
    0x23dull << 40,
    0x33cull << 40,
    0x33dull << 40,
    0x13eull << 40,
    0x13full << 40,

    0x04cull << 40,
    0x04dull << 40,
    0x14cull << 40,
    0x14dull << 40,
    0x24cull << 40,
    0x24dull << 40,
    0x34cull << 40,
    0x34dull << 40,
    0x22eull << 40,
    0x22full << 40,

    0x05cull << 40,
    0x05dull << 40,
    0x15cull << 40,
    0x15dull << 40,
    0x25cull << 40,
    0x25dull << 40,
    0x35cull << 40,
    0x35dull << 40,
    0x23eull << 40,
    0x23full << 40,

    0x06cull << 40,
    0x06dull << 40,
    0x16cull << 40,
    0x16dull << 40,
    0x26cull << 40,
    0x26dull << 40,
    0x36cull << 40,
    0x36dull << 40,
    0x32eull << 40,
    0x32full << 40,

    0x07cull << 40,
    0x07dull << 40,
    0x17cull << 40,
    0x17dull << 40,
    0x27cull << 40,
    0x27dull << 40,
    0x37cull << 40,
    0x37dull << 40,
    0x33eull << 40,
    0x33full << 40,

    0x00eull << 40,
    0x00full << 40,
    0x10eull << 40,
    0x10full << 40,
    0x20eull << 40,
    0x20full << 40,
    0x30eull << 40,
    0x30full << 40,
    0x06eull << 40,
    0x06full << 40,

    0x01eull << 40,
    0x01full << 40,
    0x11eull << 40,
    0x11full << 40,
    0x21eull << 40,
    0x21full << 40,
    0x31eull << 40,
    0x31full << 40,
    0x07eull << 40,
    0x07full << 40,

    0x08cull << 40,
    0x08dull << 40,
    0x18cull << 40,
    0x18dull << 40,
    0x28cull << 40,
    0x28dull << 40,
    0x38cull << 40,
    0x38dull << 40,
    0x0aeull << 40,
    0x0afull << 40,

    0x09cull << 40,
    0x09dull << 40,
    0x19cull << 40,
    0x19dull << 40,
    0x29cull << 40,
    0x29dull << 40,
    0x39cull << 40,
    0x39dull << 40,
    0x0beull << 40,
    0x0bfull << 40,

    0x0acull << 40,
    0x0adull << 40,
    0x1acull << 40,
    0x1adull << 40,
    0x2acull << 40,
    0x2adull << 40,
    0x3acull << 40,
    0x3adull << 40,
    0x1aeull << 40,
    0x1afull << 40,

    0x0bcull << 40,
    0x0bdull << 40,
    0x1bcull << 40,
    0x1bdull << 40,
    0x2bcull << 40,
    0x2bdull << 40,
    0x3bcull << 40,
    0x3bdull << 40,
    0x1beull << 40,
    0x1bfull << 40,

    0x0ccull << 40,
    0x0cdull << 40,
    0x1ccull << 40,
    0x1cdull << 40,
    0x2ccull << 40,
    0x2cdull << 40,
    0x3ccull << 40,
    0x3cdull << 40,
    0x2aeull << 40,
    0x2afull << 40,

    0x0dcull << 40,
    0x0ddull << 40,
    0x1dcull << 40,
    0x1ddull << 40,
    0x2dcull << 40,
    0x2ddull << 40,
    0x3dcull << 40,
    0x3ddull << 40,
    0x2beull << 40,
    0x2bfull << 40,

    0x0ecull << 40,
    0x0edull << 40,
    0x1ecull << 40,
    0x1edull << 40,
    0x2ecull << 40,
    0x2edull << 40,
    0x3ecull << 40,
    0x3edull << 40,
    0x3aeull << 40,
    0x3afull << 40,

    0x0fcull << 40,
    0x0fdull << 40,
    0x1fcull << 40,
    0x1fdull << 40,
    0x2fcull << 40,
    0x2fdull << 40,
    0x3fcull << 40,
    0x3fdull << 40,
    0x3beull << 40,
    0x3bfull << 40,

    0x08eull << 40,
    0x08full << 40,
    0x18eull << 40,
    0x18full << 40,
    0x28eull << 40,
    0x28full << 40,
    0x38eull << 40,
    0x38full << 40,
    0x0eeull << 40,
    0x0efull << 40,

    0x09eull << 40,
    0x09full << 40,
    0x19eull << 40,
    0x19full << 40,
    0x29eull << 40,
    0x29full << 40,
    0x39eull << 40,
    0x39full << 40,
    0x0feull << 40,
    0x0ffull << 40 
};