// Fast mapping of all 52 bit numbers with 7 bits set to an index 0 - 133M (52 choose 7) // // (c) 2007 // Paul D. Senzee // Senzee 5 // http://senzee.blogspot.com namespace { const unsigned _choose16x[] = { 1, 16, 120, 560, 1820, 4368, 8008, 11440 }; const unsigned _choose32x[] = { 1, 32, 496, 4960, 35960, 201376, 906192, 3365856 }; const unsigned _choose48x[] = { 1, 48, 1128, 17296, 194580, 1712304, 12271512, 73629072 }; const unsigned _table4[] = { 0, 0, 1, 5, 2, 3, 4, 3, 3, 0, 1, 2, 2, 0, 1, 0, 0 }; const unsigned _table[] = { 0, 0, 1, 119, 2, 117, 118, 559, 3, 114, 115, 558, 116, 556, 557, 1819, 4, 110, 111, 555, 112, 553, 554, 1818, 113, 550, 551, 1817, 552, 1815, 1816, 4367, 5, 105, 106, 549, 107, 547, 548, 1814, 108, 544, 545, 1813, 546, 1811, 1812, 4366, 109, 540, 541, 1810, 542, 1808, 1809, 4365, 543, 1805, 1806, 4364, 1807, 4362, 4363, 8007, 6, 99, 100, 539, 101, 537, 538, 1804, 102, 534, 535, 1803, 536, 1801, 1802, 4361, 103, 530, 531, 1800, 532, 1798, 1799, 4360, 533, 1795, 1796, 4359, 1797, 4357, 4358, 8006, 104, 525, 526, 1794, 527, 1792, 1793, 4356, 528, 1789, 1790, 4355, 1791, 4353, 4354, 8005, 529, 1785, 1786, 4352, 1787, 4350, 4351, 8004, 1788, 4347, 4348, 8003, 4349, 8001, 8002, 11439, 7, 92, 93, 524, 94, 522, 523, 1784, 95, 519, 520, 1783, 521, 1781, 1782, 4346, 96, 515, 516, 1780, 517, 1778, 1779, 4345, 518, 1775, 1776, 4344, 1777, 4342, 4343, 8000, 97, 510, 511, 1774, 512, 1772, 1773, 4341, 513, 1769, 1770, 4340, 1771, 4338, 4339, 7999, 514, 1765, 1766, 4337, 1767, 4335, 4336, 7998, 1768, 4332, 4333, 7997, 4334, 7995, 7996, 11438, 98, 504, 505, 1764, 506, 1762, 1763, 4331, 507, 1759, 1760, 4330, 1761, 4328, 4329, 7994, 508, 1755, 1756, 4327, 1757, 4325, 4326, 7993, 1758, 4322, 4323, 7992, 4324, 7990, 7991, 11437, 509, 1750, 1751, 4321, 1752, 4319, 4320, 7989, 1753, 4316, 4317, 7988, 4318, 7986, 7987, 11436, 1754, 4312, 4313, 7985, 4314, 7983, 7984, 11435, 4315, 7980, 7981, 11434, 7982, 11432, 11433, 0, 8, 84, 85, 503, 86, 501, 502, 1749, 87, 498, 499, 1748, 500, 1746, 1747, 4311, 88, 494, 495, 1745, 496, 1743, 1744, 4310, 497, 1740, 1741, 4309, 1742, 4307, 4308, 7979, 89, 489, 490, 1739, 491, 1737, 1738, 4306, 492, 1734, 1735, 4305, 1736, 4303, 4304, 7978, 493, 1730, 1731, 4302, 1732, 4300, 4301, 7977, 1733, 4297, 4298, 7976, 4299, 7974, 7975, 11431, 90, 483, 484, 1729, 485, 1727, 1728, 4296, 486, 1724, 1725, 4295, 1726, 4293, 4294, 7973, 487, 1720, 1721, 4292, 1722, 4290, 4291, 7972, 1723, 4287, 4288, 7971, 4289, 7969, 7970, 11430, 488, 1715, 1716, 4286, 1717, 4284, 4285, 7968, 1718, 4281, 4282, 7967, 4283, 7965, 7966, 11429, 1719, 4277, 4278, 7964, 4279, 7962, 7963, 11428, 4280, 7959, 7960, 11427, 7961, 11425, 11426, 0, 91, 476, 477, 1714, 478, 1712, 1713, 4276, 479, 1709, 1710, 4275, 1711, 4273, 4274, 7958, 480, 1705, 1706, 4272, 1707, 4270, 4271, 7957, 1708, 4267, 4268, 7956, 4269, 7954, 7955, 11424, 481, 1700, 1701, 4266, 1702, 4264, 4265, 7953, 1703, 4261, 4262, 7952, 4263, 7950, 7951, 11423, 1704, 4257, 4258, 7949, 4259, 7947, 7948, 11422, 4260, 7944, 7945, 11421, 7946, 11419, 11420, 0, 482, 1694, 1695, 4256, 1696, 4254, 4255, 7943, 1697, 4251, 4252, 7942, 4253, 7940, 7941, 11418, 1698, 4247, 4248, 7939, 4249, 7937, 7938, 11417, 4250, 7934, 7935, 11416, 7936, 11414, 11415, 0, 1699, 4242, 4243, 7933, 4244, 7931, 7932, 11413, 4245, 7928, 7929, 11412, 7930, 11410, 11411, 0, 4246, 7924, 7925, 11409, 7926, 11407, 11408, 0, 7927, 11404, 11405, 0, 11406, 0, 0, 0, 9, 75, 76, 475, 77, 473, 474, 1693, 78, 470, 471, 1692, 472, 1690, 1691, 4241, 79, 466, 467, 1689, 468, 1687, 1688, 4240, 469, 1684, 1685, 4239, 1686, 4237, 4238, 7923, 80, 461, 462, 1683, 463, 1681, 1682, 4236, 464, 1678, 1679, 4235, 1680, 4233, 4234, 7922, 465, 1674, 1675, 4232, 1676, 4230, 4231, 7921, 1677, 4227, 4228, 7920, 4229, 7918, 7919, 11403, 81, 455, 456, 1673, 457, 1671, 1672, 4226, 458, 1668, 1669, 4225, 1670, 4223, 4224, 7917, 459, 1664, 1665, 4222, 1666, 4220, 4221, 7916, 1667, 4217, 4218, 7915, 4219, 7913, 7914, 11402, 460, 1659, 1660, 4216, 1661, 4214, 4215, 7912, 1662, 4211, 4212, 7911, 4213, 7909, 7910, 11401, 1663, 4207, 4208, 7908, 4209, 7906, 7907, 11400, 4210, 7903, 7904, 11399, 7905, 11397, 11398, 0, 82, 448, 449, 1658, 450, 1656, 1657, 4206, 451, 1653, 1654, 4205, 1655, 4203, 4204, 7902, 452, 1649, 1650, 4202, 1651, 4200, 4201, 7901, 1652, 4197, 4198, 7900, 4199, 7898, 7899, 11396, 453, 1644, 1645, 4196, 1646, 4194, 4195, 7897, 1647, 4191, 4192, 7896, 4193, 7894, 7895, 11395, 1648, 4187, 4188, 7893, 4189, 7891, 7892, 11394, 4190, 7888, 7889, 11393, 7890, 11391, 11392, 0, 454, 1638, 1639, 4186, 1640, 4184, 4185, 7887, 1641, 4181, 4182, 7886, 4183, 7884, 7885, 11390, 1642, 4177, 4178, 7883, 4179, 7881, 7882, 11389, 4180, 7878, 7879, 11388, 7880, 11386, 11387, 0, 1643, 4172, 4173, 7877, 4174, 7875, 7876, 11385, 4175, 7872, 7873, 11384, 7874, 11382, 11383, 0, 4176, 7868, 7869, 11381, 7870, 11379, 11380, 0, 7871, 11376, 11377, 0, 11378, 0, 0, 0, 83, 440, 441, 1637, 442, 1635, 1636, 4171, 443, 1632, 1633, 4170, 1634, 4168, 4169, 7867, 444, 1628, 1629, 4167, 1630, 4165, 4166, 7866, 1631, 4162, 4163, 7865, 4164, 7863, 7864, 11375, 445, 1623, 1624, 4161, 1625, 4159, 4160, 7862, 1626, 4156, 4157, 7861, 4158, 7859, 7860, 11374, 1627, 4152, 4153, 7858, 4154, 7856, 7857, 11373, 4155, 7853, 7854, 11372, 7855, 11370, 11371, 0, 446, 1617, 1618, 4151, 1619, 4149, 4150, 7852, 1620, 4146, 4147, 7851, 4148, 7849, 7850, 11369, 1621, 4142, 4143, 7848, 4144, 7846, 7847, 11368, 4145, 7843, 7844, 11367, 7845, 11365, 11366, 0, 1622, 4137, 4138, 7842, 4139, 7840, 7841, 11364, 4140, 7837, 7838, 11363, 7839, 11361, 11362, 0, 4141, 7833, 7834, 11360, 7835, 11358, 11359, 0, 7836, 11355, 11356, 0, 11357, 0, 0, 0, 447, 1610, 1611, 4136, 1612, 4134, 4135, 7832, 1613, 4131, 4132, 7831, 4133, 7829, 7830, 11354, 1614, 4127, 4128, 7828, 4129, 7826, 7827, 11353, 4130, 7823, 7824, 11352, 7825, 11350, 11351, 0, 1615, 4122, 4123, 7822, 4124, 7820, 7821, 11349, 4125, 7817, 7818, 11348, 7819, 11346, 11347, 0, 4126, 7813, 7814, 11345, 7815, 11343, 11344, 0, 7816, 11340, 11341, 0, 11342, 0, 0, 0, 1616, 4116, 4117, 7812, 4118, 7810, 7811, 11339, 4119, 7807, 7808, 11338, 7809, 11336, 11337, 0, 4120, 7803, 7804, 11335, 7805, 11333, 11334, 0, 7806, 11330, 11331, 0, 11332, 0, 0, 0, 4121, 7798, 7799, 11329, 7800, 11327, 11328, 0, 7801, 11324, 11325, 0, 11326, 0, 0, 0, 7802, 11320, 11321, 0, 11322, 0, 0, 0, 11323, 0, 0, 0, 0, 0, 0, 0, 10, 65, 66, 439, 67, 437, 438, 1609, 68, 434, 435, 1608, 436, 1606, 1607, 4115, 69, 430, 431, 1605, 432, 1603, 1604, 4114, 433, 1600, 1601, 4113, 1602, 4111, 4112, 7797, 70, 425, 426, 1599, 427, 1597, 1598, 4110, 428, 1594, 1595, 4109, 1596, 4107, 4108, 7796, 429, 1590, 1591, 4106, 1592, 4104, 4105, 7795, 1593, 4101, 4102, 7794, 4103, 7792, 7793, 11319, 71, 419, 420, 1589, 421, 1587, 1588, 4100, 422, 1584, 1585, 4099, 1586, 4097, 4098, 7791, 423, 1580, 1581, 4096, 1582, 4094, 4095, 7790, 1583, 4091, 4092, 7789, 4093, 7787, 7788, 11318, 424, 1575, 1576, 4090, 1577, 4088, 4089, 7786, 1578, 4085, 4086, 7785, 4087, 7783, 7784, 11317, 1579, 4081, 4082, 7782, 4083, 7780, 7781, 11316, 4084, 7777, 7778, 11315, 7779, 11313, 11314, 0, 72, 412, 413, 1574, 414, 1572, 1573, 4080, 415, 1569, 1570, 4079, 1571, 4077, 4078, 7776, 416, 1565, 1566, 4076, 1567, 4074, 4075, 7775, 1568, 4071, 4072, 7774, 4073, 7772, 7773, 11312, 417, 1560, 1561, 4070, 1562, 4068, 4069, 7771, 1563, 4065, 4066, 7770, 4067, 7768, 7769, 11311, 1564, 4061, 4062, 7767, 4063, 7765, 7766, 11310, 4064, 7762, 7763, 11309, 7764, 11307, 11308, 0, 418, 1554, 1555, 4060, 1556, 4058, 4059, 7761, 1557, 4055, 4056, 7760, 4057, 7758, 7759, 11306, 1558, 4051, 4052, 7757, 4053, 7755, 7756, 11305, 4054, 7752, 7753, 11304, 7754, 11302, 11303, 0, 1559, 4046, 4047, 7751, 4048, 7749, 7750, 11301, 4049, 7746, 7747, 11300, 7748, 11298, 11299, 0, 4050, 7742, 7743, 11297, 7744, 11295, 11296, 0, 7745, 11292, 11293, 0, 11294, 0, 0, 0, 73, 404, 405, 1553, 406, 1551, 1552, 4045, 407, 1548, 1549, 4044, 1550, 4042, 4043, 7741, 408, 1544, 1545, 4041, 1546, 4039, 4040, 7740, 1547, 4036, 4037, 7739, 4038, 7737, 7738, 11291, 409, 1539, 1540, 4035, 1541, 4033, 4034, 7736, 1542, 4030, 4031, 7735, 4032, 7733, 7734, 11290, 1543, 4026, 4027, 7732, 4028, 7730, 7731, 11289, 4029, 7727, 7728, 11288, 7729, 11286, 11287, 0, 410, 1533, 1534, 4025, 1535, 4023, 4024, 7726, 1536, 4020, 4021, 7725, 4022, 7723, 7724, 11285, 1537, 4016, 4017, 7722, 4018, 7720, 7721, 11284, 4019, 7717, 7718, 11283, 7719, 11281, 11282, 0, 1538, 4011, 4012, 7716, 4013, 7714, 7715, 11280, 4014, 7711, 7712, 11279, 7713, 11277, 11278, 0, 4015, 7707, 7708, 11276, 7709, 11274, 11275, 0, 7710, 11271, 11272, 0, 11273, 0, 0, 0, 411, 1526, 1527, 4010, 1528, 4008, 4009, 7706, 1529, 4005, 4006, 7705, 4007, 7703, 7704, 11270, 1530, 4001, 4002, 7702, 4003, 7700, 7701, 11269, 4004, 7697, 7698, 11268, 7699, 11266, 11267, 0, 1531, 3996, 3997, 7696, 3998, 7694, 7695, 11265, 3999, 7691, 7692, 11264, 7693, 11262, 11263, 0, 4000, 7687, 7688, 11261, 7689, 11259, 11260, 0, 7690, 11256, 11257, 0, 11258, 0, 0, 0, 1532, 3990, 3991, 7686, 3992, 7684, 7685, 11255, 3993, 7681, 7682, 11254, 7683, 11252, 11253, 0, 3994, 7677, 7678, 11251, 7679, 11249, 11250, 0, 7680, 11246, 11247, 0, 11248, 0, 0, 0, 3995, 7672, 7673, 11245, 7674, 11243, 11244, 0, 7675, 11240, 11241, 0, 11242, 0, 0, 0, 7676, 11236, 11237, 0, 11238, 0, 0, 0, 11239, 0, 0, 0, 0, 0, 0, 0, 74, 395, 396, 1525, 397, 1523, 1524, 3989, 398, 1520, 1521, 3988, 1522, 3986, 3987, 7671, 399, 1516, 1517, 3985, 1518, 3983, 3984, 7670, 1519, 3980, 3981, 7669, 3982, 7667, 7668, 11235, 400, 1511, 1512, 3979, 1513, 3977, 3978, 7666, 1514, 3974, 3975, 7665, 3976, 7663, 7664, 11234, 1515, 3970, 3971, 7662, 3972, 7660, 7661, 11233, 3973, 7657, 7658, 11232, 7659, 11230, 11231, 0, 401, 1505, 1506, 3969, 1507, 3967, 3968, 7656, 1508, 3964, 3965, 7655, 3966, 7653, 7654, 11229, 1509, 3960, 3961, 7652, 3962, 7650, 7651, 11228, 3963, 7647, 7648, 11227, 7649, 11225, 11226, 0, 1510, 3955, 3956, 7646, 3957, 7644, 7645, 11224, 3958, 7641, 7642, 11223, 7643, 11221, 11222, 0, 3959, 7637, 7638, 11220, 7639, 11218, 11219, 0, 7640, 11215, 11216, 0, 11217, 0, 0, 0, 402, 1498, 1499, 3954, 1500, 3952, 3953, 7636, 1501, 3949, 3950, 7635, 3951, 7633, 7634, 11214, 1502, 3945, 3946, 7632, 3947, 7630, 7631, 11213, 3948, 7627, 7628, 11212, 7629, 11210, 11211, 0, 1503, 3940, 3941, 7626, 3942, 7624, 7625, 11209, 3943, 7621, 7622, 11208, 7623, 11206, 11207, 0, 3944, 7617, 7618, 11205, 7619, 11203, 11204, 0, 7620, 11200, 11201, 0, 11202, 0, 0, 0, 1504, 3934, 3935, 7616, 3936, 7614, 7615, 11199, 3937, 7611, 7612, 11198, 7613, 11196, 11197, 0, 3938, 7607, 7608, 11195, 7609, 11193, 11194, 0, 7610, 11190, 11191, 0, 11192, 0, 0, 0, 3939, 7602, 7603, 11189, 7604, 11187, 11188, 0, 7605, 11184, 11185, 0, 11186, 0, 0, 0, 7606, 11180, 11181, 0, 11182, 0, 0, 0, 11183, 0, 0, 0, 0, 0, 0, 0, 403, 1490, 1491, 3933, 1492, 3931, 3932, 7601, 1493, 3928, 3929, 7600, 3930, 7598, 7599, 11179, 1494, 3924, 3925, 7597, 3926, 7595, 7596, 11178, 3927, 7592, 7593, 11177, 7594, 11175, 11176, 0, 1495, 3919, 3920, 7591, 3921, 7589, 7590, 11174, 3922, 7586, 7587, 11173, 7588, 11171, 11172, 0, 3923, 7582, 7583, 11170, 7584, 11168, 11169, 0, 7585, 11165, 11166, 0, 11167, 0, 0, 0, 1496, 3913, 3914, 7581, 3915, 7579, 7580, 11164, 3916, 7576, 7577, 11163, 7578, 11161, 11162, 0, 3917, 7572, 7573, 11160, 7574, 11158, 11159, 0, 7575, 11155, 11156, 0, 11157, 0, 0, 0, 3918, 7567, 7568, 11154, 7569, 11152, 11153, 0, 7570, 11149, 11150, 0, 11151, 0, 0, 0, 7571, 11145, 11146, 0, 11147, 0, 0, 0, 11148, 0, 0, 0, 0, 0, 0, 0, 1497, 3906, 3907, 7566, 3908, 7564, 7565, 11144, 3909, 7561, 7562, 11143, 7563, 11141, 11142, 0, 3910, 7557, 7558, 11140, 7559, 11138, 11139, 0, 7560, 11135, 11136, 0, 11137, 0, 0, 0, 3911, 7552, 7553, 11134, 7554, 11132, 11133, 0, 7555, 11129, 11130, 0, 11131, 0, 0, 0, 7556, 11125, 11126, 0, 11127, 0, 0, 0, 11128, 0, 0, 0, 0, 0, 0, 0, 3912, 7546, 7547, 11124, 7548, 11122, 11123, 0, 7549, 11119, 11120, 0, 11121, 0, 0, 0, 7550, 11115, 11116, 0, 11117, 0, 0, 0, 11118, 0, 0, 0, 0, 0, 0, 0, 7551, 11110, 11111, 0, 11112, 0, 0, 0, 11113, 0, 0, 0, 0, 0, 0, 0, 11114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 54, 55, 394, 56, 392, 393, 1489, 57, 389, 390, 1488, 391, 1486, 1487, 3905, 58, 385, 386, 1485, 387, 1483, 1484, 3904, 388, 1480, 1481, 3903, 1482, 3901, 3902, 7545, 59, 380, 381, 1479, 382, 1477, 1478, 3900, 383, 1474, 1475, 3899, 1476, 3897, 3898, 7544, 384, 1470, 1471, 3896, 1472, 3894, 3895, 7543, 1473, 3891, 3892, 7542, 3893, 7540, 7541, 11109, 60, 374, 375, 1469, 376, 1467, 1468, 3890, 377, 1464, 1465, 3889, 1466, 3887, 3888, 7539, 378, 1460, 1461, 3886, 1462, 3884, 3885, 7538, 1463, 3881, 3882, 7537, 3883, 7535, 7536, 11108, 379, 1455, 1456, 3880, 1457, 3878, 3879, 7534, 1458, 3875, 3876, 7533, 3877, 7531, 7532, 11107, 1459, 3871, 3872, 7530, 3873, 7528, 7529, 11106, 3874, 7525, 7526, 11105, 7527, 11103, 11104, 0, 61, 367, 368, 1454, 369, 1452, 1453, 3870, 370, 1449, 1450, 3869, 1451, 3867, 3868, 7524, 371, 1445, 1446, 3866, 1447, 3864, 3865, 7523, 1448, 3861, 3862, 7522, 3863, 7520, 7521, 11102, 372, 1440, 1441, 3860, 1442, 3858, 3859, 7519, 1443, 3855, 3856, 7518, 3857, 7516, 7517, 11101, 1444, 3851, 3852, 7515, 3853, 7513, 7514, 11100, 3854, 7510, 7511, 11099, 7512, 11097, 11098, 0, 373, 1434, 1435, 3850, 1436, 3848, 3849, 7509, 1437, 3845, 3846, 7508, 3847, 7506, 7507, 11096, 1438, 3841, 3842, 7505, 3843, 7503, 7504, 11095, 3844, 7500, 7501, 11094, 7502, 11092, 11093, 0, 1439, 3836, 3837, 7499, 3838, 7497, 7498, 11091, 3839, 7494, 7495, 11090, 7496, 11088, 11089, 0, 3840, 7490, 7491, 11087, 7492, 11085, 11086, 0, 7493, 11082, 11083, 0, 11084, 0, 0, 0, 62, 359, 360, 1433, 361, 1431, 1432, 3835, 362, 1428, 1429, 3834, 1430, 3832, 3833, 7489, 363, 1424, 1425, 3831, 1426, 3829, 3830, 7488, 1427, 3826, 3827, 7487, 3828, 7485, 7486, 11081, 364, 1419, 1420, 3825, 1421, 3823, 3824, 7484, 1422, 3820, 3821, 7483, 3822, 7481, 7482, 11080, 1423, 3816, 3817, 7480, 3818, 7478, 7479, 11079, 3819, 7475, 7476, 11078, 7477, 11076, 11077, 0, 365, 1413, 1414, 3815, 1415, 3813, 3814, 7474, 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9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9, 10, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 7, 8, 8, 9, 8, 9, 9, 10, 8, 9, 9, 10, 9, 10, 10, 11, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 8, 9, 9, 10, 9, 10, 10, 11, 9, 10, 10, 11, 10, 11, 11, 12, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 9, 10, 10, 11, 10, 11, 11, 12, 10, 11, 11, 12, 11, 12, 12, 13, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 10, 11, 11, 12, 11, 12, 12, 13, 11, 12, 12, 13, 12, 13, 13, 14, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 11, 12, 12, 13, 12, 13, 13, 14, 12, 13, 13, 14, 13, 14, 14, 15, 12, 13, 13, 14, 13, 14, 14, 15, 13, 14, 14, 15, 14, 15, 15, 16, }; const unsigned _offsets52c[] = { 0, 73629072, 122715120, 132988944, 133767264 }; const unsigned _offsets48c[] = { 0, 3365856, 17864928, 42030048, 62167648, 71194848, 73361376, 73617632, 73629072, 0, 0, 0, 0, 0, 0, 0, 0, 906192, 4128208, 8443408, 11221008, 12123728, 12263504, 12271512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 201376, 776736, 1371936, 1649696, 1707936, 1712304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35960, 115320, 174840, 192760, 194580, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4960, 12896, 16736, 17296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 496, 1008, 1128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }; const unsigned _offsets32c[] = { 0, 11440, 139568, 663728, 1682928, 2702128, 3226288, 3354416, 3365856, 0, 0, 0, 0, 0, 0, 0, 0, 8008, 77896, 296296, 609896, 828296, 898184, 906192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4368, 33488, 100688, 167888, 197008, 201376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1820, 10780, 25180, 34140, 35960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 560, 2480, 4400, 4960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 376, 496, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }; } inline unsigned index52c7(unsigned __int64 x) { const unsigned short *a = (const unsigned short *)&x; unsigned A = a[3], B = a[2], C = a[1], D = a[0], bcA = _bitcount[A], bcB = _bitcount[B], bcC = _bitcount[C], bcD = _bitcount[D], mulA = _choose48x[7 - bcA], mulB = _choose32x[7 - (bcA + bcB)], mulC = _choose16x[bcD]; return _offsets52c[bcA] + _table4[A] * mulA + _offsets48c[ (bcA << 4) + bcB] + _table [B] * mulB + _offsets32c[((bcA + bcB) << 4) + bcC] + _table [C] * mulC + _table [D]; }