Search is not available for this dataset
time_since_start
sequencelengths
50
264
dim_process
int64
3
3
time_since_last_event
sequencelengths
50
264
seq_len
int64
50
264
seq_idx
int64
0
20k
type_event
sequencelengths
50
264
[ 0, 2, 5, 23, 24, 26, 90, 99, 104, 106, 108, 116, 122, 128, 144, 151, 158, 163, 165, 170, 171, 179, 183, 184, 188, 188, 205, 225, 230, 232, 256, 258, 263, 270, 282, 284, 296, 305, 334, 339, 340, 359, 396, 441, 451, 467, 480, 487, 505, 514, 515, 541, 578, 601, 604, 613, 636, 642, 642, 674, 685, 708, 713, 722, 743, 750, 789, 839, 840, 885, 919, 946, 961, 994, 1066, 1181, 1314, 1358, 1567, 1608, 1637, 1787, 1852, 1854, 1937, 2002, 2151, 2488, 2552, 2595, 2785, 2877, 3173, 3434, 4104, 5043, 5769, 5798, 6337, 6816, 7367, 7907, 9139, 11693, 19465, 20076, 21299, 22452, 23650, 24895, 26496, 31769, 33269, 39688, 41008, 43312, 44176, 45990, 47096, 47182, 48648, 50496, 50785, 51438, 51600, 54741, 56424, 56443, 56924, 57582, 58000, 58002, 58775, 61785, 62240, 63329, 63618, 69948, 82294, 107593, 111037, 137244, 160407, 167224, 167450 ]
3
[ 0, 2, 3, 18, 1, 2, 64, 9, 5, 2, 2, 8, 6, 6, 16, 7, 7, 5, 2, 5, 1, 8, 4, 1, 4, 0, 17, 20, 5, 2, 24, 2, 5, 7, 12, 2, 12, 9, 29, 5, 1, 19, 37, 45, 10, 16, 13, 7, 18, 9, 1, 26, 37, 23, 3, 9, 23, 6, 0, 32, 11, 23, 5, 9, 21, 7, 39, 50, 1, 45, 34, 27, 15, 33, 72, 115, 133, 44, 209, 41, 29, 150, 65, 2, 83, 65, 149, 337, 64, 43, 190, 92, 296, 261, 670, 939, 726, 29, 539, 479, 551, 540, 1232, 2554, 7772, 611, 1223, 1153, 1198, 1245, 1601, 5273, 1500, 6419, 1320, 2304, 864, 1814, 1106, 86, 1466, 1848, 289, 653, 162, 3141, 1683, 19, 481, 658, 418, 2, 773, 3010, 455, 1089, 289, 6330, 12346, 25299, 3444, 26207, 23163, 6817, 226 ]
145
100
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1 ]
[ 0, 14, 16, 18, 22, 24, 24, 28, 33, 39, 45, 52, 61, 66, 67, 69, 75, 100, 107, 119, 149, 152, 157, 159, 161, 166, 191, 199, 203, 205, 205, 229, 261, 263, 265, 291, 300, 335, 342, 349, 437, 453, 472, 500, 513, 571, 612, 639, 651, 675, 715, 741, 814, 821, 834, 863, 972, 990, 1037, 1114, 1251, 1269, 1304, 1465, 1776, 2245, 2305, 2494, 5341, 5407, 5426, 5449, 5454, 5850, 7711, 10038, 11537, 12958, 13270, 14112, 14746, 16564, 17275, 17470, 17690, 18415, 20280, 58338, 61428, 61934, 62308, 72609, 75469, 76625, 81773, 82598, 86647, 91266, 93777, 93940, 98484, 106222, 106912, 108205, 142560, 156034, 171362, 189804, 202445, 224868, 257227, 257322, 267625, 270622, 271066, 271107, 327163, 331305, 336286, 433126, 439939, 540555 ]
3
[ 0, 14, 2, 2, 4, 2, 0, 4, 5, 6, 6, 7, 9, 5, 1, 2, 6, 25, 7, 12, 30, 3, 5, 2, 2, 5, 25, 8, 4, 2, 0, 24, 32, 2, 2, 26, 9, 35, 7, 7, 88, 16, 19, 28, 13, 58, 41, 27, 12, 24, 40, 26, 73, 7, 13, 29, 109, 18, 47, 77, 137, 18, 35, 161, 311, 469, 60, 189, 2847, 66, 19, 23, 5, 396, 1861, 2327, 1499, 1421, 312, 842, 634, 1818, 711, 195, 220, 725, 1865, 38058, 3090, 506, 374, 10301, 2860, 1156, 5148, 825, 4049, 4619, 2511, 163, 4544, 7738, 690, 1293, 34355, 13474, 15328, 18442, 12641, 22423, 32359, 95, 10303, 2997, 444, 41, 56056, 4142, 4981, 96840, 6813, 100616 ]
122
101
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0 ]
[ 0, 15, 15, 22, 27, 34, 39, 42, 46, 52, 67, 70, 77, 84, 86, 92, 96, 102, 117, 125, 126, 190, 196, 199, 202, 209, 227, 237, 255, 260, 318, 334, 341, 356, 364, 447, 459, 497, 552, 562, 574, 735, 898, 942, 949, 1255, 1362, 1866, 1915, 1949, 2136, 2461, 2574, 2781, 2846, 2979, 3037, 3089, 3184, 4891, 5166, 5717, 6953, 7118, 8784, 10428, 12046, 13019, 13441, 14342, 15581, 16341, 18145, 21093, 26175, 31181, 62394, 69761, 126314, 147822, 158558, 180620, 261124, 263337 ]
3
[ 0, 15, 0, 7, 5, 7, 5, 3, 4, 6, 15, 3, 7, 7, 2, 6, 4, 6, 15, 8, 1, 64, 6, 3, 3, 7, 18, 10, 18, 5, 58, 16, 7, 15, 8, 83, 12, 38, 55, 10, 12, 161, 163, 44, 7, 306, 107, 504, 49, 34, 187, 325, 113, 207, 65, 133, 58, 52, 95, 1707, 275, 551, 1236, 165, 1666, 1644, 1618, 973, 422, 901, 1239, 760, 1804, 2948, 5082, 5006, 31213, 7367, 56553, 21508, 10736, 22062, 80504, 2213 ]
84
102
[ 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2 ]
[ 0, 1, 2, 5, 6, 9, 13, 25, 26, 26, 29, 33, 41, 44, 45, 48, 49, 53, 56, 56, 61, 71, 89, 92, 105, 123, 127, 129, 130, 138, 152, 152, 153, 164, 170, 171, 172, 221, 225, 238, 244, 245, 246, 262, 272, 280, 283, 316, 320, 322, 329, 341, 392, 418, 436, 445, 451, 483, 496, 500, 510, 521, 530, 554, 581, 583, 595, 623, 688, 822, 843, 857, 876, 909, 1045, 1059, 1227, 1285, 1370, 1705, 1742, 1847, 1910, 1970, 2104, 2110, 2270, 2319, 2403, 2428, 2723, 2748, 2821, 3330, 3571, 3974, 4195, 7392, 7508, 7880, 8367, 8913, 10515, 10889, 13936, 14070, 14191, 15293, 25268, 36011, 36237, 36429, 36451, 40408, 42256, 43296, 43828, 46057, 46357, 46831, 47022, 48080, 55333, 55642, 93917, 387440, 436242 ]
3
[ 0, 1, 1, 3, 1, 3, 4, 12, 1, 0, 3, 4, 8, 3, 1, 3, 1, 4, 3, 0, 5, 10, 18, 3, 13, 18, 4, 2, 1, 8, 14, 0, 1, 11, 6, 1, 1, 49, 4, 13, 6, 1, 1, 16, 10, 8, 3, 33, 4, 2, 7, 12, 51, 26, 18, 9, 6, 32, 13, 4, 10, 11, 9, 24, 27, 2, 12, 28, 65, 134, 21, 14, 19, 33, 136, 14, 168, 58, 85, 335, 37, 105, 63, 60, 134, 6, 160, 49, 84, 25, 295, 25, 73, 509, 241, 403, 221, 3197, 116, 372, 487, 546, 1602, 374, 3047, 134, 121, 1102, 9975, 10743, 226, 192, 22, 3957, 1848, 1040, 532, 2229, 300, 474, 191, 1058, 7253, 309, 38275, 293523, 48802 ]
127
103
[ 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1 ]
[ 0, 377, 1247, 3218, 3280, 4028, 5092, 6900, 6957, 6976, 7020, 7060, 7111, 7172, 7270, 7399, 7437, 7529, 7701, 7757, 7781, 7835, 7874, 8208, 8346, 8501, 8506, 8888, 9572, 9655, 10306, 10490, 10623, 10640, 10663, 10678, 10679, 10725, 10828, 10842, 11057, 11133, 11194, 11327, 11342, 11364, 11419, 11459, 11764, 12256, 12768, 13361, 13418, 17213, 19433, 21491, 21738, 29418, 59758, 66662, 172859 ]
3
[ 0, 377, 870, 1971, 62, 748, 1064, 1808, 57, 19, 44, 40, 51, 61, 98, 129, 38, 92, 172, 56, 24, 54, 39, 334, 138, 155, 5, 382, 684, 83, 651, 184, 133, 17, 23, 15, 1, 46, 103, 14, 215, 76, 61, 133, 15, 22, 55, 40, 305, 492, 512, 593, 57, 3795, 2220, 2058, 247, 7680, 30340, 6904, 106197 ]
61
104
[ 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ]
[ 0, 19, 22, 37, 54, 130, 202, 206, 234, 307, 761, 858, 864, 971, 1107, 1249, 1358, 1560, 1640, 1835, 2047, 2261, 2911, 3026, 3365, 3631, 3878, 4244, 4359, 4434, 4995, 5123, 5786, 6900, 6964, 8311, 8496, 8685, 8969, 9290, 10273, 10291, 20928, 20949, 21478, 22430, 24720, 25371, 25489, 33425, 34153, 80519, 80779, 205097 ]
3
[ 0, 19, 3, 15, 17, 76, 72, 4, 28, 73, 454, 97, 6, 107, 136, 142, 109, 202, 80, 195, 212, 214, 650, 115, 339, 266, 247, 366, 115, 75, 561, 128, 663, 1114, 64, 1347, 185, 189, 284, 321, 983, 18, 10637, 21, 529, 952, 2290, 651, 118, 7936, 728, 46366, 260, 124318 ]
54
105
[ 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
[ 0, 18, 20, 21, 22, 24, 25, 30, 32, 33, 42, 44, 45, 59, 61, 61, 65, 67, 68, 70, 70, 73, 74, 74, 74, 75, 80, 83, 87, 90, 91, 93, 97, 103, 108, 112, 116, 128, 135, 140, 141, 159, 161, 162, 178, 179, 183, 183, 201, 227, 229, 248, 251, 258, 275, 281, 282, 286, 309, 320, 334, 358, 367, 388, 390, 487, 489, 514, 567, 588, 667, 676, 700, 714, 726, 767, 802, 846, 847, 878, 883, 885, 888, 906, 1048, 1079, 1129, 1142, 1186, 1206, 1243, 1413, 1523, 1544, 1667, 1820, 1864, 1912, 1952, 2195, 2243, 2881, 3013, 3101, 3152, 3197, 3461, 3810, 4049, 4284, 4363, 4514, 4584, 4778, 6448, 6688, 7024, 7252, 7918, 8633, 9167, 9289, 9788, 9809, 10248, 10376, 10689, 10817, 11848, 12111, 12883, 12904, 15149, 17234, 21290, 27812, 28661, 32455, 36567, 37824, 45334, 72061, 78401, 92550, 202001, 310912 ]
3
[ 0, 18, 2, 1, 1, 2, 1, 5, 2, 1, 9, 2, 1, 14, 2, 0, 4, 2, 1, 2, 0, 3, 1, 0, 0, 1, 5, 3, 4, 3, 1, 2, 4, 6, 5, 4, 4, 12, 7, 5, 1, 18, 2, 1, 16, 1, 4, 0, 18, 26, 2, 19, 3, 7, 17, 6, 1, 4, 23, 11, 14, 24, 9, 21, 2, 97, 2, 25, 53, 21, 79, 9, 24, 14, 12, 41, 35, 44, 1, 31, 5, 2, 3, 18, 142, 31, 50, 13, 44, 20, 37, 170, 110, 21, 123, 153, 44, 48, 40, 243, 48, 638, 132, 88, 51, 45, 264, 349, 239, 235, 79, 151, 70, 194, 1670, 240, 336, 228, 666, 715, 534, 122, 499, 21, 439, 128, 313, 128, 1031, 263, 772, 21, 2245, 2085, 4056, 6522, 849, 3794, 4112, 1257, 7510, 26727, 6340, 14149, 109451, 108911 ]
146
106
[ 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0 ]
[ 0, 12, 12, 23, 25, 25, 34, 46, 104, 104, 113, 131, 134, 137, 138, 143, 145, 148, 152, 162, 178, 180, 186, 195, 209, 210, 211, 213, 224, 226, 231, 238, 241, 242, 244, 248, 264, 275, 276, 291, 292, 296, 302, 308, 347, 355, 357, 365, 370, 383, 385, 472, 472, 559, 565, 572, 577, 589, 631, 646, 663, 709, 724, 730, 732, 744, 760, 799, 800, 825, 831, 843, 897, 980, 1017, 1053, 1141, 1179, 1257, 1259, 1260, 1280, 1286, 1387, 1432, 1503, 1505, 1539, 1595, 1615, 1641, 1720, 1751, 1780, 1794, 1810, 1814, 2064, 2127, 2198, 2204, 2325, 2341, 2349, 2397, 2452, 2454, 2764, 2869, 2880, 3056, 3728, 3838, 4197, 4973, 5221, 5363, 5748, 5847, 5939, 5985, 6483, 7240, 8174, 8461, 8803, 9098, 10183, 10316, 10418, 11263, 11922, 15287, 18717, 21521, 23146, 37089, 37901, 40080, 42680, 44343, 46281, 49359, 88545, 117271 ]
3
[ 0, 12, 0, 11, 2, 0, 9, 12, 58, 0, 9, 18, 3, 3, 1, 5, 2, 3, 4, 10, 16, 2, 6, 9, 14, 1, 1, 2, 11, 2, 5, 7, 3, 1, 2, 4, 16, 11, 1, 15, 1, 4, 6, 6, 39, 8, 2, 8, 5, 13, 2, 87, 0, 87, 6, 7, 5, 12, 42, 15, 17, 46, 15, 6, 2, 12, 16, 39, 1, 25, 6, 12, 54, 83, 37, 36, 88, 38, 78, 2, 1, 20, 6, 101, 45, 71, 2, 34, 56, 20, 26, 79, 31, 29, 14, 16, 4, 250, 63, 71, 6, 121, 16, 8, 48, 55, 2, 310, 105, 11, 176, 672, 110, 359, 776, 248, 142, 385, 99, 92, 46, 498, 757, 934, 287, 342, 295, 1085, 133, 102, 845, 659, 3365, 3430, 2804, 1625, 13943, 812, 2179, 2600, 1663, 1938, 3078, 39186, 28726 ]
145
107
[ 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1 ]
[ 0, 1, 3, 17, 18, 18, 24, 24, 31, 36, 47, 60, 94, 95, 95, 108, 128, 137, 217, 230, 240, 261, 287, 332, 343, 357, 493, 542, 624, 657, 673, 792, 1258, 1358, 1387, 1413, 1880, 1998, 2126, 2128, 2266, 2665, 3032, 3568, 4957, 5088, 5238, 5259, 5283, 6437, 6748, 7755, 8142, 8498, 10789, 12201, 14135, 16736, 20204, 32752, 32806, 32833, 33058, 46706, 46850, 97454, 117153, 193071, 231547, 231622, 306158 ]
3
[ 0, 1, 2, 14, 1, 0, 6, 0, 7, 5, 11, 13, 34, 1, 0, 13, 20, 9, 80, 13, 10, 21, 26, 45, 11, 14, 136, 49, 82, 33, 16, 119, 466, 100, 29, 26, 467, 118, 128, 2, 138, 399, 367, 536, 1389, 131, 150, 21, 24, 1154, 311, 1007, 387, 356, 2291, 1412, 1934, 2601, 3468, 12548, 54, 27, 225, 13648, 144, 50604, 19699, 75918, 38476, 75, 74536 ]
71
108
[ 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0 ]
[ 0, 85, 95, 100, 105, 117, 143, 151, 155, 158, 167, 304, 355, 425, 515, 521, 668, 673, 700, 779, 816, 976, 1047, 1061, 1089, 1157, 1743, 1971, 2020, 2119, 2381, 2535, 2557, 2600, 2611, 2621, 2630, 2667, 2694, 2751, 2904, 3006, 3194, 3290, 3487, 3514, 3766, 3773, 3821, 3987, 3987, 4185, 4245, 4355, 4507, 4593, 4656, 4955, 5063, 5401, 5791, 5814, 5818, 6105, 6132, 6367, 6610, 7172, 7211, 7467, 8962, 9297, 9540, 9573, 9578, 10062, 10233, 11572, 12128, 12443, 12908, 28334, 131131 ]
3
[ 0, 85, 10, 5, 5, 12, 26, 8, 4, 3, 9, 137, 51, 70, 90, 6, 147, 5, 27, 79, 37, 160, 71, 14, 28, 68, 586, 228, 49, 99, 262, 154, 22, 43, 11, 10, 9, 37, 27, 57, 153, 102, 188, 96, 197, 27, 252, 7, 48, 166, 0, 198, 60, 110, 152, 86, 63, 299, 108, 338, 390, 23, 4, 287, 27, 235, 243, 562, 39, 256, 1495, 335, 243, 33, 5, 484, 171, 1339, 556, 315, 465, 15426, 102797 ]
83
109
[ 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1 ]
[ 0, 1, 4, 4, 5, 5, 6, 7, 9, 10, 12, 14, 15, 15, 16, 19, 21, 21, 23, 23, 26, 26, 26, 26, 28, 28, 29, 29, 31, 33, 34, 34, 35, 35, 35, 36, 37, 39, 39, 41, 42, 45, 48, 48, 48, 51, 52, 53, 53, 53, 57, 57, 59, 61, 62, 69, 69, 70, 70, 71, 71, 72, 73, 75, 77, 78, 84, 88, 91, 92, 94, 96, 108, 109, 112, 113, 115, 127, 130, 133, 139, 144, 148, 150, 159, 167, 170, 178, 195, 208, 213, 224, 226, 226, 243, 260, 272, 293, 294, 315, 316, 343, 357, 374, 377, 379, 399, 406, 442, 445, 497, 510, 521, 522, 554, 561, 579, 587, 604, 611, 617, 885, 914, 949, 1065, 1238, 1294, 1306, 1402, 1506, 1512, 1759, 2049, 2187, 2761, 2890, 3402, 3650, 4268, 4414, 4904, 6089, 6924, 7867, 8261, 8746, 8839, 9178, 9797, 10219, 10244, 10515, 11462, 12081, 13638, 15595, 15654, 15676, 15684, 16968, 18924, 19275, 19887, 20331, 20524, 25324, 50309, 57359, 62685, 65853, 68107, 73756, 77321, 78188, 78226, 78579, 78595, 79339, 82346, 82449, 82472, 87010, 87118, 87127, 87138, 87138, 87144, 87144, 87148, 87151, 87153, 87157, 87165, 87178, 87183, 87188, 87192, 87197, 87201, 87207, 87209, 87210, 87213, 87213, 87216, 87217, 87217, 87219, 87219, 87225, 87233, 87238, 87245, 87256, 87256, 87273, 87273, 87313, 87316, 87350, 87354, 87379, 87436, 87612, 87659, 87782, 87867, 87985, 88296, 88408, 88604, 93411, 106657, 163421, 164160 ]
3
[ 0, 1, 3, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 3, 2, 0, 2, 0, 3, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 3, 3, 0, 0, 3, 1, 1, 0, 0, 4, 0, 2, 2, 1, 7, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 6, 4, 3, 1, 2, 2, 12, 1, 3, 1, 2, 12, 3, 3, 6, 5, 4, 2, 9, 8, 3, 8, 17, 13, 5, 11, 2, 0, 17, 17, 12, 21, 1, 21, 1, 27, 14, 17, 3, 2, 20, 7, 36, 3, 52, 13, 11, 1, 32, 7, 18, 8, 17, 7, 6, 268, 29, 35, 116, 173, 56, 12, 96, 104, 6, 247, 290, 138, 574, 129, 512, 248, 618, 146, 490, 1185, 835, 943, 394, 485, 93, 339, 619, 422, 25, 271, 947, 619, 1557, 1957, 59, 22, 8, 1284, 1956, 351, 612, 444, 193, 4800, 24985, 7050, 5326, 3168, 2254, 5649, 3565, 867, 38, 353, 16, 744, 3007, 103, 23, 4538, 108, 9, 11, 0, 6, 0, 4, 3, 2, 4, 8, 13, 5, 5, 4, 5, 4, 6, 2, 1, 3, 0, 3, 1, 0, 2, 0, 6, 8, 5, 7, 11, 0, 17, 0, 40, 3, 34, 4, 25, 57, 176, 47, 123, 85, 118, 311, 112, 196, 4807, 13246, 56764, 739 ]
235
110
[ 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0 ]
[ 0, 4, 7, 14, 15, 16, 18, 21, 22, 22, 24, 28, 29, 30, 31, 31, 31, 33, 34, 34, 36, 36, 36, 38, 38, 39, 48, 49, 50, 50, 50, 52, 55, 56, 58, 65, 66, 69, 72, 76, 79, 82, 88, 88, 90, 91, 96, 99, 102, 119, 120, 121, 124, 135, 138, 140, 144, 149, 149, 156, 156, 164, 166, 167, 173, 181, 183, 193, 203, 203, 206, 214, 228, 229, 234, 237, 237, 239, 239, 240, 259, 318, 319, 371, 378, 382, 391, 401, 415, 431, 457, 462, 472, 476, 484, 494, 498, 541, 550, 574, 581, 691, 738, 754, 762, 766, 770, 812, 813, 817, 832, 835, 905, 924, 929, 936, 958, 981, 987, 995, 1184, 1195, 1229, 1282, 1327, 1378, 1381, 1545, 1547, 1550, 1671, 1686, 1714, 1740, 1741, 1843, 1848, 1944, 2102, 2153, 2261, 2279, 2360, 2417, 2458, 2673, 2938, 3118, 3549, 3553, 3907, 4064, 4616, 4660, 6672, 7198, 7266, 7720, 8740, 9155, 9703, 9767, 10555, 11845, 12562, 13435, 13895, 15224, 15406, 16134, 17885, 18894, 22060, 23203, 24897, 26016, 28599, 49626, 73570, 86188, 101141 ]
3
[ 0, 4, 3, 7, 1, 1, 2, 3, 1, 0, 2, 4, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 9, 1, 1, 0, 0, 2, 3, 1, 2, 7, 1, 3, 3, 4, 3, 3, 6, 0, 2, 1, 5, 3, 3, 17, 1, 1, 3, 11, 3, 2, 4, 5, 0, 7, 0, 8, 2, 1, 6, 8, 2, 10, 10, 0, 3, 8, 14, 1, 5, 3, 0, 2, 0, 1, 19, 59, 1, 52, 7, 4, 9, 10, 14, 16, 26, 5, 10, 4, 8, 10, 4, 43, 9, 24, 7, 110, 47, 16, 8, 4, 4, 42, 1, 4, 15, 3, 70, 19, 5, 7, 22, 23, 6, 8, 189, 11, 34, 53, 45, 51, 3, 164, 2, 3, 121, 15, 28, 26, 1, 102, 5, 96, 158, 51, 108, 18, 81, 57, 41, 215, 265, 180, 431, 4, 354, 157, 552, 44, 2012, 526, 68, 454, 1020, 415, 548, 64, 788, 1290, 717, 873, 460, 1329, 182, 728, 1751, 1009, 3166, 1143, 1694, 1119, 2583, 21027, 23944, 12618, 14953 ]
181
111
[ 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0 ]
[ 0, 1, 1, 4, 4, 4, 5, 7, 7, 10, 10, 11, 12, 12, 14, 14, 17, 17, 20, 22, 23, 25, 31, 31, 35, 35, 36, 38, 39, 39, 40, 48, 48, 49, 50, 51, 58, 58, 62, 65, 71, 71, 73, 73, 73, 77, 83, 85, 85, 92, 93, 94, 94, 96, 101, 105, 106, 106, 108, 109, 113, 123, 124, 130, 131, 133, 134, 135, 155, 162, 167, 175, 178, 181, 198, 212, 224, 228, 235, 250, 270, 298, 306, 312, 396, 467, 830, 993, 1078, 1674, 1816, 2212, 2219, 3163, 3225, 3624, 3707, 4465, 4933, 5434, 8033, 9587, 9838, 10320, 10654, 10711, 11028, 11216, 11465, 11921, 12474, 13711, 13883, 15644, 15703, 15722, 16118, 16144, 16555, 16934, 16963, 17273, 17492, 17922, 21376, 21457, 22288, 22307, 22311, 22870, 22918, 23201, 23236, 23282, 23345, 24164, 24254, 24671, 25162, 25321, 26835, 28927, 29348, 34146, 36130, 37465, 38170, 39059, 39689, 40584, 41102, 48961, 75922, 77645, 80641, 88579, 93284, 99324, 104954, 106736, 109353, 111729, 112282, 117388, 119609, 127404, 129579, 165248, 180621, 182286, 183307, 195476, 196379, 236499, 243751, 368031 ]
3
[ 0, 1, 0, 3, 0, 0, 1, 2, 0, 3, 0, 1, 1, 0, 2, 0, 3, 0, 3, 2, 1, 2, 6, 0, 4, 0, 1, 2, 1, 0, 1, 8, 0, 1, 1, 1, 7, 0, 4, 3, 6, 0, 2, 0, 0, 4, 6, 2, 0, 7, 1, 1, 0, 2, 5, 4, 1, 0, 2, 1, 4, 10, 1, 6, 1, 2, 1, 1, 20, 7, 5, 8, 3, 3, 17, 14, 12, 4, 7, 15, 20, 28, 8, 6, 84, 71, 363, 163, 85, 596, 142, 396, 7, 944, 62, 399, 83, 758, 468, 501, 2599, 1554, 251, 482, 334, 57, 317, 188, 249, 456, 553, 1237, 172, 1761, 59, 19, 396, 26, 411, 379, 29, 310, 219, 430, 3454, 81, 831, 19, 4, 559, 48, 283, 35, 46, 63, 819, 90, 417, 491, 159, 1514, 2092, 421, 4798, 1984, 1335, 705, 889, 630, 895, 518, 7859, 26961, 1723, 2996, 7938, 4705, 6040, 5630, 1782, 2617, 2376, 553, 5106, 2221, 7795, 2175, 35669, 15373, 1665, 1021, 12169, 903, 40120, 7252, 124280 ]
176
112
[ 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1 ]
[ 0, 1, 2, 3, 9, 11, 11, 11, 11, 17, 22, 22, 22, 27, 27, 34, 38, 38, 40, 44, 49, 49, 50, 51, 55, 64, 67, 76, 77, 77, 84, 87, 105, 106, 119, 124, 124, 126, 143, 145, 147, 167, 284, 292, 315, 357, 370, 385, 397, 429, 446, 468, 480, 515, 535, 623, 669, 672, 710, 710, 741, 835, 860, 908, 911, 950, 956, 978, 984, 985, 1021, 1027, 1142, 1225, 1257, 1299, 1341, 1466, 1532, 1932, 2127, 2203, 2459, 2512, 2914, 2915, 2954, 3053, 3698, 4366, 5587, 5839, 6897, 7043, 7919, 9810, 12701, 14292, 16973, 17284, 33475, 40495, 41918, 43279, 45203, 55058, 60904, 65659, 126183, 152840, 255734, 255947, 256739, 413999 ]
3
[ 0, 1, 1, 1, 6, 2, 0, 0, 0, 6, 5, 0, 0, 5, 0, 7, 4, 0, 2, 4, 5, 0, 1, 1, 4, 9, 3, 9, 1, 0, 7, 3, 18, 1, 13, 5, 0, 2, 17, 2, 2, 20, 117, 8, 23, 42, 13, 15, 12, 32, 17, 22, 12, 35, 20, 88, 46, 3, 38, 0, 31, 94, 25, 48, 3, 39, 6, 22, 6, 1, 36, 6, 115, 83, 32, 42, 42, 125, 66, 400, 195, 76, 256, 53, 402, 1, 39, 99, 645, 668, 1221, 252, 1058, 146, 876, 1891, 2891, 1591, 2681, 311, 16191, 7020, 1423, 1361, 1924, 9855, 5846, 4755, 60524, 26657, 102894, 213, 792, 157260 ]
114
113
[ 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0 ]
[ 0, 4, 6, 11, 14, 15, 18, 22, 23, 24, 25, 51, 53, 56, 63, 64, 85, 89, 90, 93, 101, 116, 116, 118, 120, 124, 126, 137, 138, 143, 144, 150, 150, 159, 160, 163, 164, 172, 180, 180, 213, 216, 217, 253, 259, 265, 375, 417, 423, 468, 495, 521, 550, 554, 568, 592, 599, 612, 629, 631, 708, 735, 780, 814, 815, 845, 857, 858, 868, 900, 906, 909, 951, 964, 999, 1020, 1022, 1186, 1282, 1310, 1312, 1314, 1340, 1393, 1457, 1544, 1545, 1546, 1748, 1768, 1796, 1846, 1850, 1898, 1991, 2060, 2485, 2519, 2694, 2700, 2712, 2745, 2747, 2795, 2852, 2957, 2995, 3120, 3977, 3991, 4068, 4580, 4626, 4746, 4765, 4777, 5254, 5349, 5521, 5552, 5565, 5664, 5874, 6038, 6049, 6157, 6776, 6777, 6936, 7453, 7772, 7941, 8113, 8199, 8295, 9588, 10655, 11095, 11143, 11667, 12613, 13089, 13204, 15334, 16113, 17032, 17634, 18048, 20692, 25514, 30099, 34572, 37420, 39792, 40072, 40236, 48884, 56015, 56321, 58075, 61566, 61739, 111651, 121583, 158293 ]
3
[ 0, 4, 2, 5, 3, 1, 3, 4, 1, 1, 1, 26, 2, 3, 7, 1, 21, 4, 1, 3, 8, 15, 0, 2, 2, 4, 2, 11, 1, 5, 1, 6, 0, 9, 1, 3, 1, 8, 8, 0, 33, 3, 1, 36, 6, 6, 110, 42, 6, 45, 27, 26, 29, 4, 14, 24, 7, 13, 17, 2, 77, 27, 45, 34, 1, 30, 12, 1, 10, 32, 6, 3, 42, 13, 35, 21, 2, 164, 96, 28, 2, 2, 26, 53, 64, 87, 1, 1, 202, 20, 28, 50, 4, 48, 93, 69, 425, 34, 175, 6, 12, 33, 2, 48, 57, 105, 38, 125, 857, 14, 77, 512, 46, 120, 19, 12, 477, 95, 172, 31, 13, 99, 210, 164, 11, 108, 619, 1, 159, 517, 319, 169, 172, 86, 96, 1293, 1067, 440, 48, 524, 946, 476, 115, 2130, 779, 919, 602, 414, 2644, 4822, 4585, 4473, 2848, 2372, 280, 164, 8648, 7131, 306, 1754, 3491, 173, 49912, 9932, 36710 ]
165
114
[ 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1 ]
[ 0, 1, 4, 5, 9, 10, 14, 14, 16, 16, 17, 23, 26, 29, 34, 36, 36, 38, 39, 39, 47, 49, 51, 52, 54, 59, 60, 65, 68, 68, 70, 76, 76, 78, 81, 81, 84, 88, 92, 93, 97, 103, 104, 107, 182, 187, 189, 189, 197, 197, 216, 222, 226, 262, 286, 307, 313, 325, 352, 362, 382, 462, 464, 474, 515, 520, 543, 555, 589, 598, 614, 615, 703, 837, 877, 955, 1067, 1086, 1319, 1418, 1539, 1666, 1737, 1790, 1892, 1938, 2223, 2367, 2393, 2604, 2624, 2638, 2786, 2902, 2922, 3302, 3637, 3873, 3926, 4368, 4414, 4995, 6947, 7321, 7699, 9066, 9416, 9587, 10339, 11228, 11724, 12039, 12539, 14253, 14555, 14644, 15262, 15333, 15343, 15828, 18217, 18326, 18831, 20538, 20798, 21530, 26142, 28100, 29598, 31555, 31570, 32699, 33402, 35931, 48017, 48167, 53749, 54972, 56816, 59078, 60407, 65480, 65903, 66967, 68622, 70529, 70871, 72222, 78790, 81080, 81878, 82594, 82660, 82780, 85404, 88821, 88859, 88901, 89157, 89621, 92767, 95645, 98392, 119792, 119810, 119877, 127987, 128012, 130589, 138969, 139510, 139512, 145313, 152719, 152766, 155346, 156937, 178769, 179036, 205666, 229054, 244098, 250302, 252670, 268689, 273128, 283634, 283948, 313388, 355823, 369784, 374867, 380093, 384131, 393881, 406042, 409603, 467045, 480018, 480118, 598996 ]
3
[ 0, 1, 3, 1, 4, 1, 4, 0, 2, 0, 1, 6, 3, 3, 5, 2, 0, 2, 1, 0, 8, 2, 2, 1, 2, 5, 1, 5, 3, 0, 2, 6, 0, 2, 3, 0, 3, 4, 4, 1, 4, 6, 1, 3, 75, 5, 2, 0, 8, 0, 19, 6, 4, 36, 24, 21, 6, 12, 27, 10, 20, 80, 2, 10, 41, 5, 23, 12, 34, 9, 16, 1, 88, 134, 40, 78, 112, 19, 233, 99, 121, 127, 71, 53, 102, 46, 285, 144, 26, 211, 20, 14, 148, 116, 20, 380, 335, 236, 53, 442, 46, 581, 1952, 374, 378, 1367, 350, 171, 752, 889, 496, 315, 500, 1714, 302, 89, 618, 71, 10, 485, 2389, 109, 505, 1707, 260, 732, 4612, 1958, 1498, 1957, 15, 1129, 703, 2529, 12086, 150, 5582, 1223, 1844, 2262, 1329, 5073, 423, 1064, 1655, 1907, 342, 1351, 6568, 2290, 798, 716, 66, 120, 2624, 3417, 38, 42, 256, 464, 3146, 2878, 2747, 21400, 18, 67, 8110, 25, 2577, 8380, 541, 2, 5801, 7406, 47, 2580, 1591, 21832, 267, 26630, 23388, 15044, 6204, 2368, 16019, 4439, 10506, 314, 29440, 42435, 13961, 5083, 5226, 4038, 9750, 12161, 3561, 57442, 12973, 100, 118878 ]
201
115
[ 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 ]
[ 0, 89, 92, 111, 111, 185, 198, 199, 216, 317, 382, 389, 539, 629, 655, 853, 1018, 1260, 1431, 1447, 1507, 1770, 2199, 2325, 2465, 2853, 3444, 3671, 3821, 3889, 4239, 4490, 4509, 4577, 4724, 5386, 5467, 5548, 6097, 7188, 7269, 7288, 7671, 8475, 8480, 9770, 11491, 13875, 15768, 24872, 78575, 105311, 313151, 313239 ]
3
[ 0, 89, 3, 19, 0, 74, 13, 1, 17, 101, 65, 7, 150, 90, 26, 198, 165, 242, 171, 16, 60, 263, 429, 126, 140, 388, 591, 227, 150, 68, 350, 251, 19, 68, 147, 662, 81, 81, 549, 1091, 81, 19, 383, 804, 5, 1290, 1721, 2384, 1893, 9104, 53703, 26736, 207840, 88 ]
54
116
[ 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0 ]
[ 0, 3, 4, 7, 11, 16, 23, 28, 28, 30, 43, 44, 77, 78, 86, 91, 106, 114, 137, 151, 156, 164, 167, 197, 198, 199, 201, 201, 214, 214, 216, 219, 224, 225, 227, 230, 238, 250, 263, 283, 302, 302, 315, 315, 316, 316, 330, 338, 369, 372, 373, 381, 392, 412, 450, 460, 472, 496, 520, 533, 535, 549, 552, 553, 572, 623, 670, 680, 729, 760, 771, 795, 809, 822, 881, 908, 990, 1054, 1055, 1072, 1100, 1133, 1158, 1185, 1193, 1198, 1205, 1212, 1215, 1243, 1274, 1278, 1290, 1470, 1471, 1542, 1596, 1627, 1670, 1863, 1864, 1926, 1938, 2000, 2015, 2238, 2254, 2291, 2344, 2382, 2399, 2399, 2514, 2566, 2730, 2731, 2733, 2878, 2915, 2921, 2968, 3089, 3200, 3216, 3227, 3880, 3898, 3900, 4034, 4082, 4118, 4387, 4413, 5245, 5251, 5327, 5374, 5605, 5793, 6028, 6252, 6410, 6565, 6652, 6938, 7031, 7195, 7513, 7540, 8269, 8950, 9016, 9108, 9207, 9357, 9380, 9459, 10157, 10188, 10413, 10605, 11278, 11502, 11571, 11748, 11824, 12168, 12288, 12378, 12956, 14052, 15520, 15719, 16711, 29111, 32914, 33854, 37659, 37893, 38819, 39669, 39801, 40703, 41019, 41910, 43962, 44210, 44501, 45022, 45203, 45646, 46091, 47045, 49927, 49927, 51774, 53399, 61050 ]
3
[ 0, 3, 1, 3, 4, 5, 7, 5, 0, 2, 13, 1, 33, 1, 8, 5, 15, 8, 23, 14, 5, 8, 3, 30, 1, 1, 2, 0, 13, 0, 2, 3, 5, 1, 2, 3, 8, 12, 13, 20, 19, 0, 13, 0, 1, 0, 14, 8, 31, 3, 1, 8, 11, 20, 38, 10, 12, 24, 24, 13, 2, 14, 3, 1, 19, 51, 47, 10, 49, 31, 11, 24, 14, 13, 59, 27, 82, 64, 1, 17, 28, 33, 25, 27, 8, 5, 7, 7, 3, 28, 31, 4, 12, 180, 1, 71, 54, 31, 43, 193, 1, 62, 12, 62, 15, 223, 16, 37, 53, 38, 17, 0, 115, 52, 164, 1, 2, 145, 37, 6, 47, 121, 111, 16, 11, 653, 18, 2, 134, 48, 36, 269, 26, 832, 6, 76, 47, 231, 188, 235, 224, 158, 155, 87, 286, 93, 164, 318, 27, 729, 681, 66, 92, 99, 150, 23, 79, 698, 31, 225, 192, 673, 224, 69, 177, 76, 344, 120, 90, 578, 1096, 1468, 199, 992, 12400, 3803, 940, 3805, 234, 926, 850, 132, 902, 316, 891, 2052, 248, 291, 521, 181, 443, 445, 954, 2882, 0, 1847, 1625, 7651 ]
198
117
[ 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 1, 10, 58, 68, 78, 80, 82, 88, 88, 89, 90, 101, 108, 110, 112, 113, 126, 134, 135, 144, 144, 150, 150, 155, 155, 156, 185, 191, 199, 251, 260, 284, 291, 296, 310, 328, 348, 362, 430, 431, 475, 483, 650, 688, 706, 763, 824, 832, 841, 896, 950, 962, 1074, 1079, 1167, 1323, 1328, 1340, 1430, 1626, 1682, 1698, 1771, 1776, 1886, 1914, 2010, 2052, 2067, 2390, 2471, 2499, 2577, 2598, 2728, 2786, 2857, 2899, 3074, 3106, 3106, 3120, 3195, 3242, 4051, 4085, 4230, 4233, 4241, 4440, 4866, 5051, 5206, 5422, 5453, 5578, 6126, 6165, 6604, 7097, 7383, 7389, 8136, 8310, 8974, 9529, 10513, 10708, 10748, 11093, 11725, 12494, 13012, 13803, 14817, 14826, 16115, 21449, 21930, 22493, 22763, 23254, 25944, 27937, 28152, 32446, 33899, 36955, 37326, 38620, 42939, 49524, 52063, 57871, 63176, 68485, 69651, 91136, 122101, 123734, 145857, 262195, 289776 ]
3
[ 0, 1, 9, 48, 10, 10, 2, 2, 6, 0, 1, 1, 11, 7, 2, 2, 1, 13, 8, 1, 9, 0, 6, 0, 5, 0, 1, 29, 6, 8, 52, 9, 24, 7, 5, 14, 18, 20, 14, 68, 1, 44, 8, 167, 38, 18, 57, 61, 8, 9, 55, 54, 12, 112, 5, 88, 156, 5, 12, 90, 196, 56, 16, 73, 5, 110, 28, 96, 42, 15, 323, 81, 28, 78, 21, 130, 58, 71, 42, 175, 32, 0, 14, 75, 47, 809, 34, 145, 3, 8, 199, 426, 185, 155, 216, 31, 125, 548, 39, 439, 493, 286, 6, 747, 174, 664, 555, 984, 195, 40, 345, 632, 769, 518, 791, 1014, 9, 1289, 5334, 481, 563, 270, 491, 2690, 1993, 215, 4294, 1453, 3056, 371, 1294, 4319, 6585, 2539, 5808, 5305, 5309, 1166, 21485, 30965, 1633, 22123, 116338, 27581 ]
144
118
[ 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0 ]
[ 0, 1, 3, 4, 11, 13, 14, 19, 21, 27, 28, 29, 32, 37, 39, 41, 44, 44, 46, 57, 57, 62, 63, 72, 77, 92, 92, 102, 113, 114, 122, 160, 178, 201, 215, 270, 343, 460, 529, 600, 657, 680, 800, 1117, 1139, 1147, 1168, 1502, 1802, 8600 ]
3
[ 0, 1, 2, 1, 7, 2, 1, 5, 2, 6, 1, 1, 3, 5, 2, 2, 3, 0, 2, 11, 0, 5, 1, 9, 5, 15, 0, 10, 11, 1, 8, 38, 18, 23, 14, 55, 73, 117, 69, 71, 57, 23, 120, 317, 22, 8, 21, 334, 300, 6798 ]
50
119
[ 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1 ]
[ 0, 14, 19, 24, 31, 32, 37, 37, 106, 110, 119, 129, 135, 135, 149, 157, 166, 181, 188, 250, 266, 278, 294, 295, 314, 350, 403, 429, 436, 463, 488, 521, 831, 952, 1074, 1114, 1120, 1239, 1279, 1279, 1339, 1348, 1986, 2247, 2323, 2576, 2777, 3584, 4412, 4424, 4750, 5001, 5223, 5326, 5731, 6932, 7209, 7263, 8049, 8091, 10438, 14593, 35092, 42027, 42085 ]
3
[ 0, 14, 5, 5, 7, 1, 5, 0, 69, 4, 9, 10, 6, 0, 14, 8, 9, 15, 7, 62, 16, 12, 16, 1, 19, 36, 53, 26, 7, 27, 25, 33, 310, 121, 122, 40, 6, 119, 40, 0, 60, 9, 638, 261, 76, 253, 201, 807, 828, 12, 326, 251, 222, 103, 405, 1201, 277, 54, 786, 42, 2347, 4155, 20499, 6935, 58 ]
65
120
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1 ]
[ 0, 3, 22, 23, 28, 29, 35, 36, 36, 55, 59, 60, 64, 75, 77, 77, 88, 95, 97, 98, 102, 102, 105, 109, 129, 134, 136, 140, 147, 147, 153, 156, 163, 167, 169, 178, 182, 183, 185, 187, 194, 203, 211, 215, 225, 232, 233, 233, 238, 239, 240, 242, 248, 251, 252, 253, 256, 257, 265, 265, 266, 272, 284, 285, 288, 295, 301, 303, 306, 307, 311, 312, 313, 325, 328, 328, 337, 349, 357, 379, 395, 434, 440, 456, 457, 469, 477, 480, 498, 499, 517, 539, 573, 577, 605, 608, 619, 624, 630, 636, 638, 669, 671, 683, 688, 699, 750, 756, 765, 772, 774, 788, 802, 812, 825, 857, 906, 926, 952, 965, 974, 1088, 1095, 1132, 1139, 1163, 1185, 1195, 1307, 1309, 1330, 1393, 1411, 1414, 1461, 1605, 1700, 1785, 1786, 2062, 2277, 2382, 2439, 2632, 2674, 2704, 2945, 3040, 3157, 3163, 3202, 3285, 3380, 3460, 3715, 3722, 4210, 4288, 6320, 6504, 6787, 7097, 8965, 10060, 10514, 11295, 13455, 19292, 23837, 24760, 35616, 59736, 111038 ]
3
[ 0, 3, 19, 1, 5, 1, 6, 1, 0, 19, 4, 1, 4, 11, 2, 0, 11, 7, 2, 1, 4, 0, 3, 4, 20, 5, 2, 4, 7, 0, 6, 3, 7, 4, 2, 9, 4, 1, 2, 2, 7, 9, 8, 4, 10, 7, 1, 0, 5, 1, 1, 2, 6, 3, 1, 1, 3, 1, 8, 0, 1, 6, 12, 1, 3, 7, 6, 2, 3, 1, 4, 1, 1, 12, 3, 0, 9, 12, 8, 22, 16, 39, 6, 16, 1, 12, 8, 3, 18, 1, 18, 22, 34, 4, 28, 3, 11, 5, 6, 6, 2, 31, 2, 12, 5, 11, 51, 6, 9, 7, 2, 14, 14, 10, 13, 32, 49, 20, 26, 13, 9, 114, 7, 37, 7, 24, 22, 10, 112, 2, 21, 63, 18, 3, 47, 144, 95, 85, 1, 276, 215, 105, 57, 193, 42, 30, 241, 95, 117, 6, 39, 83, 95, 80, 255, 7, 488, 78, 2032, 184, 283, 310, 1868, 1095, 454, 781, 2160, 5837, 4545, 923, 10856, 24120, 51302 ]
173
121
[ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
[ 0, 30, 69, 69, 92, 97, 128, 141, 143, 144, 146, 146, 160, 174, 176, 192, 193, 197, 209, 236, 238, 270, 282, 297, 311, 315, 316, 317, 338, 343, 344, 385, 405, 423, 465, 478, 518, 601, 738, 749, 756, 801, 945, 1023, 1043, 1051, 1060, 1060, 1085, 1137, 1312, 1479, 1509, 1689, 2197, 2509, 3010, 3498, 4219, 4260, 6482, 6754, 7454, 8004, 23596, 23719, 24496, 24872, 25945, 27810, 67986, 68068, 68206, 68986 ]
3
[ 0, 30, 39, 0, 23, 5, 31, 13, 2, 1, 2, 0, 14, 14, 2, 16, 1, 4, 12, 27, 2, 32, 12, 15, 14, 4, 1, 1, 21, 5, 1, 41, 20, 18, 42, 13, 40, 83, 137, 11, 7, 45, 144, 78, 20, 8, 9, 0, 25, 52, 175, 167, 30, 180, 508, 312, 501, 488, 721, 41, 2222, 272, 700, 550, 15592, 123, 777, 376, 1073, 1865, 40176, 82, 138, 780 ]
74
122
[ 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0 ]
[ 0, 5, 14, 22, 48, 65, 74, 80, 121, 185, 1305, 1324, 1368, 2247, 2247, 2422, 2858, 3213, 3259, 3514, 3719, 4007, 4500, 4936, 4952, 6139, 6346, 7966, 8197, 8258, 10670, 11252, 11569, 11668, 11932, 12230, 12724, 14048, 14053, 14772, 15348, 26694, 28280, 30557, 31771, 33795, 35320, 52520, 75982, 96961, 104727, 111631, 114309, 114718, 119842, 121156 ]
3
[ 0, 5, 9, 8, 26, 17, 9, 6, 41, 64, 1120, 19, 44, 879, 0, 175, 436, 355, 46, 255, 205, 288, 493, 436, 16, 1187, 207, 1620, 231, 61, 2412, 582, 317, 99, 264, 298, 494, 1324, 5, 719, 576, 11346, 1586, 2277, 1214, 2024, 1525, 17200, 23462, 20979, 7766, 6904, 2678, 409, 5124, 1314 ]
56
123
[ 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2 ]
[ 0, 5, 5, 6, 9, 14, 18, 19, 20, 21, 22, 24, 24, 34, 37, 43, 45, 50, 51, 52, 55, 55, 56, 62, 69, 73, 73, 80, 83, 83, 84, 85, 88, 93, 93, 96, 98, 101, 106, 107, 112, 113, 116, 120, 123, 130, 145, 147, 169, 178, 178, 182, 192, 194, 225, 246, 290, 303, 333, 400, 569, 615, 719, 856, 964, 4736, 6489, 47273 ]
3
[ 0, 5, 0, 1, 3, 5, 4, 1, 1, 1, 1, 2, 0, 10, 3, 6, 2, 5, 1, 1, 3, 0, 1, 6, 7, 4, 0, 7, 3, 0, 1, 1, 3, 5, 0, 3, 2, 3, 5, 1, 5, 1, 3, 4, 3, 7, 15, 2, 22, 9, 0, 4, 10, 2, 31, 21, 44, 13, 30, 67, 169, 46, 104, 137, 108, 3772, 1753, 40784 ]
68
124
[ 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1 ]
[ 0, 168, 260, 339, 373, 420, 656, 747, 824, 916, 966, 978, 1040, 1383, 1412, 1415, 1438, 1472, 1520, 1521, 1549, 1635, 1793, 1839, 1957, 2053, 2182, 2211, 2235, 2284, 2544, 2606, 2733, 2886, 2914, 3174, 3196, 3203, 3264, 3271, 3602, 3639, 3690, 3751, 4130, 4427, 4610, 4652, 4864, 5025, 6484, 7581, 7581, 7656, 24100 ]
3
[ 0, 168, 92, 79, 34, 47, 236, 91, 77, 92, 50, 12, 62, 343, 29, 3, 23, 34, 48, 1, 28, 86, 158, 46, 118, 96, 129, 29, 24, 49, 260, 62, 127, 153, 28, 260, 22, 7, 61, 7, 331, 37, 51, 61, 379, 297, 183, 42, 212, 161, 1459, 1097, 0, 75, 16444 ]
55
125
[ 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0 ]
[ 0, 7, 12, 22, 38, 105, 130, 152, 196, 333, 461, 687, 808, 846, 979, 997, 1026, 1215, 1248, 1432, 1701, 1771, 1905, 2171, 2213, 2253, 2662, 2696, 2708, 2726, 3415, 3462, 3623, 3984, 4166, 4836, 4908, 5222, 5252, 5579, 6254, 6558, 7057, 7176, 9950, 11018, 13720, 16199, 19018, 19690, 20212, 21934, 22900, 29941, 32142, 35587, 42185, 45660, 45956, 48916, 183096 ]
3
[ 0, 7, 5, 10, 16, 67, 25, 22, 44, 137, 128, 226, 121, 38, 133, 18, 29, 189, 33, 184, 269, 70, 134, 266, 42, 40, 409, 34, 12, 18, 689, 47, 161, 361, 182, 670, 72, 314, 30, 327, 675, 304, 499, 119, 2774, 1068, 2702, 2479, 2819, 672, 522, 1722, 966, 7041, 2201, 3445, 6598, 3475, 296, 2960, 134180 ]
61
126
[ 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 1, 1, 0, 0 ]
[ 0, 0, 8, 11, 12, 14, 14, 17, 18, 18, 19, 25, 32, 33, 33, 33, 36, 36, 37, 40, 41, 47, 54, 60, 62, 62, 65, 68, 70, 76, 78, 79, 81, 81, 82, 83, 95, 97, 112, 113, 125, 127, 135, 135, 150, 155, 228, 245, 256, 306, 311, 344, 346, 437, 449, 486, 486, 570, 599, 619, 647, 660, 666, 764, 796, 816, 842, 861, 878, 906, 913, 956, 987, 1185, 1271, 1302, 1306, 1614, 1876, 2138, 2155, 2211, 2247, 2253, 2303, 2497, 2727, 3001, 3173, 3571, 6669, 7219, 7302, 7710, 28498, 34589, 35465, 53402, 60466, 65824, 65975, 67091, 83940, 116743, 127188, 165662, 369459 ]
3
[ 0, 0, 8, 3, 1, 2, 0, 3, 1, 0, 1, 6, 7, 1, 0, 0, 3, 0, 1, 3, 1, 6, 7, 6, 2, 0, 3, 3, 2, 6, 2, 1, 2, 0, 1, 1, 12, 2, 15, 1, 12, 2, 8, 0, 15, 5, 73, 17, 11, 50, 5, 33, 2, 91, 12, 37, 0, 84, 29, 20, 28, 13, 6, 98, 32, 20, 26, 19, 17, 28, 7, 43, 31, 198, 86, 31, 4, 308, 262, 262, 17, 56, 36, 6, 50, 194, 230, 274, 172, 398, 3098, 550, 83, 408, 20788, 6091, 876, 17937, 7064, 5358, 151, 1116, 16849, 32803, 10445, 38474, 203797 ]
107
127
[ 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1 ]
[ 0, 4, 5, 5, 10, 17, 40, 51, 73, 93, 114, 123, 226, 297, 307, 314, 427, 468, 475, 481, 540, 783, 849, 1063, 1085, 1178, 1313, 1393, 1458, 1513, 1796, 2037, 2872, 2900, 4846, 5234, 5439, 5962, 6650, 7696, 10679, 11443, 11562, 12113, 12496, 13974, 20687, 52181, 56599, 58170, 58414, 58670, 70939, 73302, 77891, 79233, 81261, 89686, 91603, 93430, 93542, 98816, 102757, 104242, 155060, 155354, 158796, 161033, 181133, 185699, 242900, 242964, 244149, 247159, 363306, 363391, 540589, 575450 ]
3
[ 0, 4, 1, 0, 5, 7, 23, 11, 22, 20, 21, 9, 103, 71, 10, 7, 113, 41, 7, 6, 59, 243, 66, 214, 22, 93, 135, 80, 65, 55, 283, 241, 835, 28, 1946, 388, 205, 523, 688, 1046, 2983, 764, 119, 551, 383, 1478, 6713, 31494, 4418, 1571, 244, 256, 12269, 2363, 4589, 1342, 2028, 8425, 1917, 1827, 112, 5274, 3941, 1485, 50818, 294, 3442, 2237, 20100, 4566, 57201, 64, 1185, 3010, 116147, 85, 177198, 34861 ]
78
128
[ 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1 ]
[ 0, 19, 21, 22, 50, 71, 74, 300, 731, 1880, 2920, 5514, 7624, 12978, 37194, 37856, 41998, 42042, 42054, 42065, 42104, 42105, 42112, 42170, 42321, 42411, 42660, 43614, 45236, 45722, 45750, 45760, 45819, 45849, 45862, 46000, 46160, 46166, 46172, 46486, 46510, 48618, 51422, 52874, 53437, 56067, 65293, 66842, 75155, 80108, 80136, 80153, 80155, 80157, 80167, 119582, 149265, 206659, 393915, 483980, 597992 ]
3
[ 0, 19, 2, 1, 28, 21, 3, 226, 431, 1149, 1040, 2594, 2110, 5354, 24216, 662, 4142, 44, 12, 11, 39, 1, 7, 58, 151, 90, 249, 954, 1622, 486, 28, 10, 59, 30, 13, 138, 160, 6, 6, 314, 24, 2108, 2804, 1452, 563, 2630, 9226, 1549, 8313, 4953, 28, 17, 2, 2, 10, 39415, 29683, 57394, 187256, 90065, 114012 ]
61
129
[ 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1 ]
[ 0, 1, 1, 14, 32, 44, 45, 50, 61, 62, 115, 121, 132, 138, 148, 157, 158, 174, 185, 193, 213, 220, 225, 227, 279, 291, 306, 321, 331, 345, 351, 394, 438, 461, 487, 496, 504, 596, 617, 645, 657, 760, 810, 877, 909, 949, 999, 1032, 1093, 1130, 1168, 1255, 1262, 1288, 1330, 1601, 1668, 1769, 1850, 1988, 2239, 2256, 2343, 2443, 2549, 2792, 2821, 2837, 2991, 3401, 3691, 3706, 3723, 4040, 4081, 4223, 4438, 4672, 5236, 5953, 6522, 6561, 6615, 6659, 6852, 7031, 7927, 8549, 8590, 9398, 9795, 10064, 10401, 12451, 12826, 12853, 12861, 12905, 12925, 12942, 13001, 13105, 13242, 13521, 13916, 13949, 13961, 14535, 14746, 15327, 15432, 15441, 15587, 15636, 15957, 16297, 16327, 16924, 17100, 17226, 17745, 19913, 19968, 21517, 21795, 22208, 23113, 24092, 26329, 31721, 31724, 31782, 31962, 33391, 33812, 34217, 34351, 34942, 37150, 38021, 38062, 38620, 39196, 41446, 71252, 79053, 87945, 94153, 106673, 122725, 125798, 142069, 159449, 175903, 177300, 180538, 187369, 206774, 218558, 248719, 249100, 276072, 276915, 278378, 278679, 280367, 280809, 281008, 281773, 282111, 282685, 282872, 283001, 283186, 283267, 286568, 292124, 292144, 292316, 292912, 293890, 294796, 295246, 298873, 303941, 324915, 332889, 354134, 363315, 370473, 383485, 417075, 424216, 424805, 426138, 427102, 431899, 441524, 457506, 459640, 459816, 465115, 466278, 470204, 470689, 470706, 470729, 470729, 471198, 471434, 519536, 519575 ]
3
[ 0, 1, 0, 13, 18, 12, 1, 5, 11, 1, 53, 6, 11, 6, 10, 9, 1, 16, 11, 8, 20, 7, 5, 2, 52, 12, 15, 15, 10, 14, 6, 43, 44, 23, 26, 9, 8, 92, 21, 28, 12, 103, 50, 67, 32, 40, 50, 33, 61, 37, 38, 87, 7, 26, 42, 271, 67, 101, 81, 138, 251, 17, 87, 100, 106, 243, 29, 16, 154, 410, 290, 15, 17, 317, 41, 142, 215, 234, 564, 717, 569, 39, 54, 44, 193, 179, 896, 622, 41, 808, 397, 269, 337, 2050, 375, 27, 8, 44, 20, 17, 59, 104, 137, 279, 395, 33, 12, 574, 211, 581, 105, 9, 146, 49, 321, 340, 30, 597, 176, 126, 519, 2168, 55, 1549, 278, 413, 905, 979, 2237, 5392, 3, 58, 180, 1429, 421, 405, 134, 591, 2208, 871, 41, 558, 576, 2250, 29806, 7801, 8892, 6208, 12520, 16052, 3073, 16271, 17380, 16454, 1397, 3238, 6831, 19405, 11784, 30161, 381, 26972, 843, 1463, 301, 1688, 442, 199, 765, 338, 574, 187, 129, 185, 81, 3301, 5556, 20, 172, 596, 978, 906, 450, 3627, 5068, 20974, 7974, 21245, 9181, 7158, 13012, 33590, 7141, 589, 1333, 964, 4797, 9625, 15982, 2134, 176, 5299, 1163, 3926, 485, 17, 23, 0, 469, 236, 48102, 39 ]
212
130
[ 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0 ]
[ 0, 45, 59, 69, 72, 77, 114, 127, 181, 202, 211, 213, 240, 242, 304, 312, 353, 360, 362, 478, 578, 614, 712, 722, 736, 815, 974, 1012, 1035, 1187, 1250, 1466, 1645, 1645, 1653, 1653, 1665, 1665, 1910, 1945, 2063, 2073, 2270, 2318, 2419, 2575, 2947, 2981, 3009, 3041, 3044, 3047, 3084, 3466, 3522, 3839, 3876, 3949, 4447, 4601, 4678, 4942, 5280, 5940, 7780, 9340, 12416, 13202, 13424, 35161, 37207, 40293, 56367, 377413, 450908, 456581 ]
3
[ 0, 45, 14, 10, 3, 5, 37, 13, 54, 21, 9, 2, 27, 2, 62, 8, 41, 7, 2, 116, 100, 36, 98, 10, 14, 79, 159, 38, 23, 152, 63, 216, 179, 0, 8, 0, 12, 0, 245, 35, 118, 10, 197, 48, 101, 156, 372, 34, 28, 32, 3, 3, 37, 382, 56, 317, 37, 73, 498, 154, 77, 264, 338, 660, 1840, 1560, 3076, 786, 222, 21737, 2046, 3086, 16074, 321046, 73495, 5673 ]
76
131
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
[ 0, 3, 3, 5, 13, 18, 25, 25, 29, 36, 36, 41, 50, 58, 69, 73, 91, 92, 92, 98, 98, 107, 108, 109, 112, 131, 135, 148, 153, 159, 174, 179, 182, 194, 194, 196, 202, 210, 221, 242, 262, 269, 321, 335, 337, 337, 342, 343, 360, 364, 364, 372, 412, 415, 436, 457, 503, 511, 537, 540, 542, 542, 563, 594, 599, 634, 640, 702, 773, 806, 814, 823, 825, 853, 916, 1014, 1098, 1121, 1372, 1375, 1387, 1548 ]
3
[ 0, 3, 0, 2, 8, 5, 7, 0, 4, 7, 0, 5, 9, 8, 11, 4, 18, 1, 0, 6, 0, 9, 1, 1, 3, 19, 4, 13, 5, 6, 15, 5, 3, 12, 0, 2, 6, 8, 11, 21, 20, 7, 52, 14, 2, 0, 5, 1, 17, 4, 0, 8, 40, 3, 21, 21, 46, 8, 26, 3, 2, 0, 21, 31, 5, 35, 6, 62, 71, 33, 8, 9, 2, 28, 63, 98, 84, 23, 251, 3, 12, 161 ]
82
132
[ 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0 ]
[ 0, 6, 13, 17, 22, 23, 26, 30, 34, 35, 44, 50, 56, 62, 62, 78, 85, 89, 97, 121, 126, 128, 130, 131, 148, 150, 156, 159, 164, 176, 178, 219, 259, 263, 327, 345, 363, 369, 377, 405, 437, 452, 465, 492, 494, 539, 622, 643, 697, 697, 765, 765, 864, 868, 940, 944, 952, 1027, 1046, 1141, 1175, 1245, 1326, 1387, 1410, 1429, 1441, 1542, 1564, 1745, 1827, 1902, 1959, 1988, 2054, 2393, 2744, 2780, 2994, 3120, 3628, 3795, 3833, 4543, 5225, 6110, 6526, 6629, 6681, 6712, 6959, 7647, 7805, 8128, 8399, 8784, 9216, 9607, 9753, 10124, 10542, 11017, 13505, 13965, 16220, 24104, 33293, 35462, 40725, 52102, 55942, 57721, 57778, 97434, 98172, 133474, 146694, 204348, 219453, 263750, 363877, 389660, 473388, 478496, 519060, 538911 ]
3
[ 0, 6, 7, 4, 5, 1, 3, 4, 4, 1, 9, 6, 6, 6, 0, 16, 7, 4, 8, 24, 5, 2, 2, 1, 17, 2, 6, 3, 5, 12, 2, 41, 40, 4, 64, 18, 18, 6, 8, 28, 32, 15, 13, 27, 2, 45, 83, 21, 54, 0, 68, 0, 99, 4, 72, 4, 8, 75, 19, 95, 34, 70, 81, 61, 23, 19, 12, 101, 22, 181, 82, 75, 57, 29, 66, 339, 351, 36, 214, 126, 508, 167, 38, 710, 682, 885, 416, 103, 52, 31, 247, 688, 158, 323, 271, 385, 432, 391, 146, 371, 418, 475, 2488, 460, 2255, 7884, 9189, 2169, 5263, 11377, 3840, 1779, 57, 39656, 738, 35302, 13220, 57654, 15105, 44297, 100127, 25783, 83728, 5108, 40564, 19851 ]
126
133
[ 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0 ]
[ 0, 5, 8, 9, 10, 11, 17, 17, 18, 20, 20, 23, 23, 24, 28, 33, 35, 36, 36, 36, 39, 40, 41, 43, 43, 44, 45, 45, 47, 51, 52, 54, 54, 55, 56, 59, 60, 62, 64, 64, 64, 64, 65, 65, 65, 66, 67, 67, 69, 70, 71, 72, 74, 75, 78, 80, 83, 84, 86, 87, 88, 88, 92, 92, 92, 97, 98, 101, 102, 105, 114, 114, 121, 124, 128, 130, 139, 143, 146, 154, 165, 169, 175, 175, 184, 193, 194, 197, 202, 230, 234, 236, 245, 246, 267, 276, 283, 301, 306, 314, 337, 350, 357, 481, 581, 747, 1075, 53652, 57714, 178989, 320280, 574332 ]
3
[ 0, 5, 3, 1, 1, 1, 6, 0, 1, 2, 0, 3, 0, 1, 4, 5, 2, 1, 0, 0, 3, 1, 1, 2, 0, 1, 1, 0, 2, 4, 1, 2, 0, 1, 1, 3, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 3, 2, 3, 1, 2, 1, 1, 0, 4, 0, 0, 5, 1, 3, 1, 3, 9, 0, 7, 3, 4, 2, 9, 4, 3, 8, 11, 4, 6, 0, 9, 9, 1, 3, 5, 28, 4, 2, 9, 1, 21, 9, 7, 18, 5, 8, 23, 13, 7, 124, 100, 166, 328, 52577, 4062, 121275, 141291, 254052 ]
112
134
[ 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1 ]
[ 0, 44, 65, 84, 139, 177, 187, 211, 223, 231, 339, 447, 943, 945, 1261, 1321, 1410, 1453, 1481, 1544, 2524, 2909, 3392, 4763, 6493, 6942, 7569, 7871, 8145, 8814, 9095, 9445, 11922, 14122, 17998, 22521, 24229, 28122, 28996, 29109, 29162, 30231, 31313, 31819, 34161, 38305, 41327, 41912, 44710, 49762, 57219, 59222, 60439, 64618, 71204, 71324, 82666, 83448, 88269, 112534, 118337, 154326, 177740, 179447, 180636, 283489, 317088, 386985, 490844, 499636 ]
3
[ 0, 44, 21, 19, 55, 38, 10, 24, 12, 8, 108, 108, 496, 2, 316, 60, 89, 43, 28, 63, 980, 385, 483, 1371, 1730, 449, 627, 302, 274, 669, 281, 350, 2477, 2200, 3876, 4523, 1708, 3893, 874, 113, 53, 1069, 1082, 506, 2342, 4144, 3022, 585, 2798, 5052, 7457, 2003, 1217, 4179, 6586, 120, 11342, 782, 4821, 24265, 5803, 35989, 23414, 1707, 1189, 102853, 33599, 69897, 103859, 8792 ]
70
135
[ 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
[ 0, 1, 7, 17, 23, 23, 23, 26, 27, 28, 33, 36, 38, 44, 45, 46, 47, 49, 51, 56, 59, 66, 67, 67, 69, 69, 71, 79, 80, 84, 87, 88, 93, 94, 99, 107, 108, 115, 125, 127, 149, 158, 167, 167, 170, 175, 225, 225, 226, 226, 227, 230, 243, 246, 265, 270, 300, 304, 316, 322, 330, 345, 349, 353, 374, 391, 394, 493, 496, 513, 572, 775, 816, 834, 910, 1000, 1033, 1088, 1260, 1281, 1324, 1373, 1497, 1686, 1694, 1757, 1771, 1968, 2116, 2374, 2433, 2701, 2836, 2882, 3159, 3423, 3945, 4368, 4495, 4605, 4704, 4751, 5451, 6325, 9626, 10499, 11549, 13084, 13191, 13651, 13856, 15430, 15704, 20486, 27194, 29834, 31934, 38424, 41861, 45251, 45812, 46171, 47733, 51105, 51577, 54441, 57510, 58454, 60953, 66596, 67327, 67706, 68738, 69205, 69337, 69534, 72413, 72465, 73073, 73260, 76117, 76297, 76668, 77247, 77505, 77554, 77620, 77793, 77857, 78442, 79319, 79386, 80143, 80987, 82695, 83893, 84539, 84956, 85257, 85537, 87492, 98504, 114684, 123000, 140362, 152566, 153957, 159088, 160387, 161538, 164639, 167032, 169102, 171228, 172425, 177675, 201057, 228618, 236685, 241235, 247683, 248654, 250373, 252852, 262728, 317409, 326919, 338169, 345570, 354805, 392995, 393568, 434292, 539904, 560222, 601763 ]
3
[ 0, 1, 6, 10, 6, 0, 0, 3, 1, 1, 5, 3, 2, 6, 1, 1, 1, 2, 2, 5, 3, 7, 1, 0, 2, 0, 2, 8, 1, 4, 3, 1, 5, 1, 5, 8, 1, 7, 10, 2, 22, 9, 9, 0, 3, 5, 50, 0, 1, 0, 1, 3, 13, 3, 19, 5, 30, 4, 12, 6, 8, 15, 4, 4, 21, 17, 3, 99, 3, 17, 59, 203, 41, 18, 76, 90, 33, 55, 172, 21, 43, 49, 124, 189, 8, 63, 14, 197, 148, 258, 59, 268, 135, 46, 277, 264, 522, 423, 127, 110, 99, 47, 700, 874, 3301, 873, 1050, 1535, 107, 460, 205, 1574, 274, 4782, 6708, 2640, 2100, 6490, 3437, 3390, 561, 359, 1562, 3372, 472, 2864, 3069, 944, 2499, 5643, 731, 379, 1032, 467, 132, 197, 2879, 52, 608, 187, 2857, 180, 371, 579, 258, 49, 66, 173, 64, 585, 877, 67, 757, 844, 1708, 1198, 646, 417, 301, 280, 1955, 11012, 16180, 8316, 17362, 12204, 1391, 5131, 1299, 1151, 3101, 2393, 2070, 2126, 1197, 5250, 23382, 27561, 8067, 4550, 6448, 971, 1719, 2479, 9876, 54681, 9510, 11250, 7401, 9235, 38190, 573, 40724, 105612, 20318, 41541 ]
196
136
[ 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0 ]
[ 0, 116, 386, 397, 406, 422, 426, 430, 443, 449, 452, 479, 480, 491, 492, 496, 503, 505, 506, 520, 523, 528, 531, 549, 551, 551, 558, 569, 579, 585, 598, 672, 673, 734, 808, 817, 854, 867, 923, 925, 934, 967, 1138, 1187, 1251, 1280, 1514, 1537, 1708, 1729, 1935, 1942, 2035, 2147, 2418, 2778, 3047, 3104, 3541, 4115, 4647, 4974, 5038, 5119, 5463, 5477, 5810, 5820, 10002, 13367, 27947 ]
3
[ 0, 116, 270, 11, 9, 16, 4, 4, 13, 6, 3, 27, 1, 11, 1, 4, 7, 2, 1, 14, 3, 5, 3, 18, 2, 0, 7, 11, 10, 6, 13, 74, 1, 61, 74, 9, 37, 13, 56, 2, 9, 33, 171, 49, 64, 29, 234, 23, 171, 21, 206, 7, 93, 112, 271, 360, 269, 57, 437, 574, 532, 327, 64, 81, 344, 14, 333, 10, 4182, 3365, 14580 ]
71
137
[ 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0 ]
[ 0, 24, 27, 30, 33, 34, 40, 48, 49, 50, 51, 55, 61, 62, 64, 65, 65, 68, 69, 79, 80, 84, 85, 85, 87, 88, 107, 110, 111, 149, 176, 178, 183, 185, 185, 187, 203, 209, 220, 231, 243, 271, 276, 303, 305, 357, 370, 388, 411, 417, 418, 433, 438, 452, 455, 461, 480, 534, 542, 550, 564, 575, 588, 593, 616, 704, 729, 758, 766, 784, 808, 841, 854, 868, 902, 916, 932, 937, 995, 1035, 1049, 1060, 1130, 1209, 1220, 1221, 1236, 1288, 1309, 1396, 1439, 1521, 1591, 1620, 1732, 1792, 1829, 1933, 2008, 2054, 2185, 2193, 2220, 2597, 2619, 2897, 2997, 3246, 3446, 3575, 3624, 3698, 3699, 3710, 4021, 4038, 4389, 4487, 4877, 5561, 5645, 5727, 6864, 6976, 7198, 7224, 7369, 7491, 8718, 9019, 9039, 9088, 9842, 10092, 10405, 11679, 12018, 12037, 13053, 14208, 14389, 14417, 14477, 14857, 15057, 16945, 19980, 20996, 21211, 26628, 32535, 45209, 47159, 47275, 47900, 49101, 50878, 51144, 52384, 53855, 54262, 54727, 56747, 58284, 62526, 63821, 64604, 65404, 65695, 74322, 75155, 75177, 75505, 76668, 81659, 98871, 107293, 177765, 180914, 262940, 350643, 494536, 540504, 598139 ]
3
[ 0, 24, 3, 3, 3, 1, 6, 8, 1, 1, 1, 4, 6, 1, 2, 1, 0, 3, 1, 10, 1, 4, 1, 0, 2, 1, 19, 3, 1, 38, 27, 2, 5, 2, 0, 2, 16, 6, 11, 11, 12, 28, 5, 27, 2, 52, 13, 18, 23, 6, 1, 15, 5, 14, 3, 6, 19, 54, 8, 8, 14, 11, 13, 5, 23, 88, 25, 29, 8, 18, 24, 33, 13, 14, 34, 14, 16, 5, 58, 40, 14, 11, 70, 79, 11, 1, 15, 52, 21, 87, 43, 82, 70, 29, 112, 60, 37, 104, 75, 46, 131, 8, 27, 377, 22, 278, 100, 249, 200, 129, 49, 74, 1, 11, 311, 17, 351, 98, 390, 684, 84, 82, 1137, 112, 222, 26, 145, 122, 1227, 301, 20, 49, 754, 250, 313, 1274, 339, 19, 1016, 1155, 181, 28, 60, 380, 200, 1888, 3035, 1016, 215, 5417, 5907, 12674, 1950, 116, 625, 1201, 1777, 266, 1240, 1471, 407, 465, 2020, 1537, 4242, 1295, 783, 800, 291, 8627, 833, 22, 328, 1163, 4991, 17212, 8422, 70472, 3149, 82026, 87703, 143893, 45968, 57635 ]
184
138
[ 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 3, 8, 9, 9, 13, 18, 18, 26, 27, 44, 67, 76, 80, 83, 136, 143, 156, 168, 267, 299, 303, 318, 328, 336, 345, 361, 382, 393, 424, 450, 450, 538, 984, 1339, 1424, 1846, 2040, 2533, 2679, 2929, 5903, 6445, 12329, 12420, 13283, 15178, 15265, 15368, 15419, 19019, 19090, 19251, 19271, 19302, 19731, 19822, 20762, 20997, 21100, 22297, 23798, 31627, 31856, 41085, 42189, 45463, 45804, 46416, 46555, 47373, 53957, 56890, 62635, 65367, 68195, 72815, 79643, 82050, 89155, 98567, 103407, 106455, 109191, 113549, 124675, 158416, 163034, 177043, 177246, 366319, 424554, 455519, 483391, 491783, 501773, 551182, 561650 ]
3
[ 0, 3, 5, 1, 0, 4, 5, 0, 8, 1, 17, 23, 9, 4, 3, 53, 7, 13, 12, 99, 32, 4, 15, 10, 8, 9, 16, 21, 11, 31, 26, 0, 88, 446, 355, 85, 422, 194, 493, 146, 250, 2974, 542, 5884, 91, 863, 1895, 87, 103, 51, 3600, 71, 161, 20, 31, 429, 91, 940, 235, 103, 1197, 1501, 7829, 229, 9229, 1104, 3274, 341, 612, 139, 818, 6584, 2933, 5745, 2732, 2828, 4620, 6828, 2407, 7105, 9412, 4840, 3048, 2736, 4358, 11126, 33741, 4618, 14009, 203, 189073, 58235, 30965, 27872, 8392, 9990, 49409, 10468 ]
98
139
[ 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1 ]
[ 0, 7, 15, 30, 46, 46, 46, 50, 58, 62, 63, 65, 65, 77, 80, 84, 87, 95, 95, 97, 98, 109, 194, 207, 240, 247, 257, 260, 266, 279, 372, 400, 409, 419, 427, 449, 476, 484, 501, 629, 629, 652, 701, 715, 991, 1064, 1064, 1447, 1458, 1532, 1640, 1721, 1910, 2102, 2172, 2577, 2623, 2927, 2946, 3487, 3697, 4040, 5591, 5802, 6060, 6827, 7603, 8164, 10623, 10863, 12426, 17431, 17488, 19077, 22449, 25510, 26339, 26696, 31771, 33042, 35133, 37130, 44782, 53372, 61496, 61503, 62011, 67553, 67712, 68086, 68104, 68633, 74835, 79701, 80929, 98981, 136498, 212884, 325136, 420975 ]
3
[ 0, 7, 8, 15, 16, 0, 0, 4, 8, 4, 1, 2, 0, 12, 3, 4, 3, 8, 0, 2, 1, 11, 85, 13, 33, 7, 10, 3, 6, 13, 93, 28, 9, 10, 8, 22, 27, 8, 17, 128, 0, 23, 49, 14, 276, 73, 0, 383, 11, 74, 108, 81, 189, 192, 70, 405, 46, 304, 19, 541, 210, 343, 1551, 211, 258, 767, 776, 561, 2459, 240, 1563, 5005, 57, 1589, 3372, 3061, 829, 357, 5075, 1271, 2091, 1997, 7652, 8590, 8124, 7, 508, 5542, 159, 374, 18, 529, 6202, 4866, 1228, 18052, 37517, 76386, 112252, 95839 ]
100
140
[ 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0 ]
[ 0, 17, 62, 137, 138, 138, 141, 141, 143, 145, 160, 162, 180, 182, 182, 187, 214, 219, 223, 239, 262, 297, 315, 339, 379, 498, 512, 558, 726, 748, 751, 755, 778, 802, 810, 883, 883, 893, 895, 929, 953, 965, 980, 986, 991, 1001, 1043, 1090, 1114, 1128, 1137, 1138, 1161, 1164, 1167, 1176, 1196, 1299, 1355, 1365, 1372, 1511, 1534, 1594, 1859, 1927, 1954, 2004, 2099, 2220, 2238, 2243, 2313, 2425, 2973, 3090, 3618, 4043, 4372, 4540, 4733, 5456, 5586, 6517, 6718, 6740, 6913, 8227, 8432, 8672, 8727, 9539, 9922, 10129, 11577, 11597, 13647, 15109, 15552, 16292, 16513, 17322, 17404, 19794, 25480, 26437, 78816, 96487, 99213, 119626, 184826, 186205, 194533, 263883, 280962, 309663, 321819, 345522, 345522 ]
3
[ 0, 17, 45, 75, 1, 0, 3, 0, 2, 2, 15, 2, 18, 2, 0, 5, 27, 5, 4, 16, 23, 35, 18, 24, 40, 119, 14, 46, 168, 22, 3, 4, 23, 24, 8, 73, 0, 10, 2, 34, 24, 12, 15, 6, 5, 10, 42, 47, 24, 14, 9, 1, 23, 3, 3, 9, 20, 103, 56, 10, 7, 139, 23, 60, 265, 68, 27, 50, 95, 121, 18, 5, 70, 112, 548, 117, 528, 425, 329, 168, 193, 723, 130, 931, 201, 22, 173, 1314, 205, 240, 55, 812, 383, 207, 1448, 20, 2050, 1462, 443, 740, 221, 809, 82, 2390, 5686, 957, 52379, 17671, 2726, 20413, 65200, 1379, 8328, 69350, 17079, 28701, 12156, 23703, 0 ]
119
141
[ 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0 ]
[ 0, 20, 53, 142, 188, 236, 266, 316, 426, 494, 504, 654, 772, 882, 937, 1077, 1286, 1621, 1636, 1662, 1671, 1696, 1700, 1733, 1972, 2200, 3497, 3965, 4363, 4519, 4608, 4676, 5133, 5150, 5337, 5528, 5660, 6054, 6465, 6699, 6730, 7089, 7198, 9322, 10321, 10740, 10887, 11079, 12357, 14901, 17129, 17368, 17437, 18902, 19829, 22336, 24869, 26436, 26436, 28142, 36019, 38999, 39700, 51440, 57329, 67218, 67674, 69039, 69392, 78161, 265525 ]
3
[ 0, 20, 33, 89, 46, 48, 30, 50, 110, 68, 10, 150, 118, 110, 55, 140, 209, 335, 15, 26, 9, 25, 4, 33, 239, 228, 1297, 468, 398, 156, 89, 68, 457, 17, 187, 191, 132, 394, 411, 234, 31, 359, 109, 2124, 999, 419, 147, 192, 1278, 2544, 2228, 239, 69, 1465, 927, 2507, 2533, 1567, 0, 1706, 7877, 2980, 701, 11740, 5889, 9889, 456, 1365, 353, 8769, 187364 ]
71
142
[ 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 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, 4, 4, 11, 23, 24, 25, 30, 32, 34, 34, 39, 42, 54, 55, 57, 57, 57, 57, 73, 77, 78, 80, 88, 88, 93, 105, 113, 114, 124, 138, 161, 183, 185, 191, 224, 226, 237, 242, 266, 267, 270, 272, 292, 323, 345, 352, 381, 405, 419, 427, 433, 536, 572, 576, 597, 683, 700, 757, 932, 987, 1012, 1139, 1376, 1393, 1427, 1505, 1713, 1877, 2274, 2356, 3340, 5042, 7271, 9221, 22290, 24228, 68417 ]
3
[ 0, 4, 0, 7, 12, 1, 1, 5, 2, 2, 0, 5, 3, 12, 1, 2, 0, 0, 0, 16, 4, 1, 2, 8, 0, 5, 12, 8, 1, 10, 14, 23, 22, 2, 6, 33, 2, 11, 5, 24, 1, 3, 2, 20, 31, 22, 7, 29, 24, 14, 8, 6, 103, 36, 4, 21, 86, 17, 57, 175, 55, 25, 127, 237, 17, 34, 78, 208, 164, 397, 82, 984, 1702, 2229, 1950, 13069, 1938, 44189 ]
78
143
[ 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1 ]
[ 0, 0, 38, 44, 61, 86, 91, 95, 97, 124, 128, 144, 186, 206, 214, 229, 236, 280, 382, 413, 424, 497, 503, 558, 636, 638, 847, 946, 956, 1068, 1233, 1285, 1378, 1677, 1903, 1916, 1918, 2246, 2248, 2253, 2548, 3065, 3664, 3909, 4055, 4269, 4357, 4844, 5053, 5799, 5936, 6559, 7013, 7799, 8257, 9232, 9486, 9740, 9747, 10020, 11053, 11124, 11790, 12078, 12298, 12390, 13020, 13768, 14471, 14511, 15264, 15304, 15385, 15845, 15979, 16142, 16185, 16270, 16950, 21319, 27093, 27803, 32307, 34963, 36673, 40107, 43901, 45963, 46292, 69202, 74771, 93414, 96190, 97834, 101281, 112917, 120893, 275304, 424404, 436173, 597571, 603008, 603008 ]
3
[ 0, 0, 38, 6, 17, 25, 5, 4, 2, 27, 4, 16, 42, 20, 8, 15, 7, 44, 102, 31, 11, 73, 6, 55, 78, 2, 209, 99, 10, 112, 165, 52, 93, 299, 226, 13, 2, 328, 2, 5, 295, 517, 599, 245, 146, 214, 88, 487, 209, 746, 137, 623, 454, 786, 458, 975, 254, 254, 7, 273, 1033, 71, 666, 288, 220, 92, 630, 748, 703, 40, 753, 40, 81, 460, 134, 163, 43, 85, 680, 4369, 5774, 710, 4504, 2656, 1710, 3434, 3794, 2062, 329, 22910, 5569, 18643, 2776, 1644, 3447, 11636, 7976, 154411, 149100, 11769, 161398, 5437, 0 ]
103
144
[ 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 7, 20, 20, 22, 30, 33, 35, 43, 46, 46, 49, 51, 53, 53, 57, 70, 74, 77, 77, 81, 88, 92, 94, 154, 164, 165, 166, 167, 171, 184, 191, 200, 214, 228, 233, 239, 258, 349, 366, 367, 375, 416, 421, 580, 645, 671, 674, 722, 730, 749, 840, 848, 850, 859, 860, 878, 889, 903, 915, 949, 1023, 1035, 1047, 1072, 1098, 1121, 1135, 1149, 1155, 1163, 1259, 1260, 1269, 1308, 1354, 1357, 1384, 1515, 1520, 1531, 1558, 1580, 1700, 1790, 1802, 1832, 2145, 2237, 2273, 2278, 2528, 2783, 2799, 2887, 2929, 2940, 3008, 3562, 3605, 3973, 3977, 4218, 4289, 4291, 4387, 4612, 4835, 5602, 5727, 5798, 6427, 6707, 6882, 7015, 7342, 7542, 8346, 8500, 9080, 9129, 10428, 11694, 13667, 14306, 16147, 16357, 17905, 19266, 20383, 91803, 276871, 410880, 412686 ]
3
[ 0, 7, 13, 0, 2, 8, 3, 2, 8, 3, 0, 3, 2, 2, 0, 4, 13, 4, 3, 0, 4, 7, 4, 2, 60, 10, 1, 1, 1, 4, 13, 7, 9, 14, 14, 5, 6, 19, 91, 17, 1, 8, 41, 5, 159, 65, 26, 3, 48, 8, 19, 91, 8, 2, 9, 1, 18, 11, 14, 12, 34, 74, 12, 12, 25, 26, 23, 14, 14, 6, 8, 96, 1, 9, 39, 46, 3, 27, 131, 5, 11, 27, 22, 120, 90, 12, 30, 313, 92, 36, 5, 250, 255, 16, 88, 42, 11, 68, 554, 43, 368, 4, 241, 71, 2, 96, 225, 223, 767, 125, 71, 629, 280, 175, 133, 327, 200, 804, 154, 580, 49, 1299, 1266, 1973, 639, 1841, 210, 1548, 1361, 1117, 71420, 185068, 134009, 1806 ]
134
145
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
[ 0, 2, 4, 6, 9, 10, 10, 12, 14, 14, 15, 16, 17, 23, 28, 53, 80, 81, 81, 102, 105, 118, 133, 145, 146, 148, 152, 185, 190, 193, 240, 244, 287, 287, 291, 310, 332, 361, 380, 425, 444, 466, 479, 488, 512, 617, 640, 673, 739, 1110, 1160, 1175, 1241, 1683, 2176, 2190, 2573, 3053, 4247, 4488, 4949, 5000, 5219, 10832, 13918, 60929, 61678, 72394, 80350 ]
3
[ 0, 2, 2, 2, 3, 1, 0, 2, 2, 0, 1, 1, 1, 6, 5, 25, 27, 1, 0, 21, 3, 13, 15, 12, 1, 2, 4, 33, 5, 3, 47, 4, 43, 0, 4, 19, 22, 29, 19, 45, 19, 22, 13, 9, 24, 105, 23, 33, 66, 371, 50, 15, 66, 442, 493, 14, 383, 480, 1194, 241, 461, 51, 219, 5613, 3086, 47011, 749, 10716, 7956 ]
69
146
[ 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1 ]
[ 0, 0, 3, 23, 25, 26, 26, 26, 27, 28, 36, 39, 42, 44, 45, 47, 49, 51, 54, 57, 63, 67, 70, 72, 73, 73, 75, 80, 83, 84, 89, 90, 92, 92, 93, 96, 97, 99, 99, 103, 103, 111, 111, 114, 117, 124, 133, 134, 134, 154, 154, 156, 168, 172, 186, 199, 201, 205, 207, 216, 220, 221, 226, 227, 242, 268, 270, 275, 280, 281, 284, 293, 298, 315, 319, 320, 359, 363, 383, 388, 388, 435, 450, 498, 514, 515, 522, 558, 636, 672, 674, 684, 713, 765, 804, 844, 846, 926, 1035, 1083, 1093, 1175, 1372, 1427, 1725, 1796, 1832, 2011, 2448, 3195, 3562, 4254, 4710, 4747, 5126, 5298, 7189, 8817, 9120, 11345, 20751, 52781, 62589, 62976 ]
3
[ 0, 0, 3, 20, 2, 1, 0, 0, 1, 1, 8, 3, 3, 2, 1, 2, 2, 2, 3, 3, 6, 4, 3, 2, 1, 0, 2, 5, 3, 1, 5, 1, 2, 0, 1, 3, 1, 2, 0, 4, 0, 8, 0, 3, 3, 7, 9, 1, 0, 20, 0, 2, 12, 4, 14, 13, 2, 4, 2, 9, 4, 1, 5, 1, 15, 26, 2, 5, 5, 1, 3, 9, 5, 17, 4, 1, 39, 4, 20, 5, 0, 47, 15, 48, 16, 1, 7, 36, 78, 36, 2, 10, 29, 52, 39, 40, 2, 80, 109, 48, 10, 82, 197, 55, 298, 71, 36, 179, 437, 747, 367, 692, 456, 37, 379, 172, 1891, 1628, 303, 2225, 9406, 32030, 9808, 387 ]
124
147
[ 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1 ]
[ 0, 4, 29, 48, 73, 97, 151, 166, 392, 514, 646, 661, 809, 890, 919, 1275, 1663, 1708, 1770, 2026, 3060, 3570, 4482, 4619, 4891, 9844, 11230, 14961, 15776, 16079, 16746, 16829, 18400, 18482, 18594, 18800, 18869, 19501, 19709, 20152, 20524, 20595, 21417, 22004, 22817, 22969, 23336, 23446, 24419, 25581, 26414, 27396, 28644, 29571, 31499, 31661, 33031, 34080, 34554, 35603, 39761, 40301, 40656, 42096, 42748, 46045, 53452, 54409, 89702, 466025 ]
3
[ 0, 4, 25, 19, 25, 24, 54, 15, 226, 122, 132, 15, 148, 81, 29, 356, 388, 45, 62, 256, 1034, 510, 912, 137, 272, 4953, 1386, 3731, 815, 303, 667, 83, 1571, 82, 112, 206, 69, 632, 208, 443, 372, 71, 822, 587, 813, 152, 367, 110, 973, 1162, 833, 982, 1248, 927, 1928, 162, 1370, 1049, 474, 1049, 4158, 540, 355, 1440, 652, 3297, 7407, 957, 35293, 376323 ]
70
148
[ 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ]
[ 0, 4, 15, 17, 54, 63, 69, 94, 117, 131, 132, 145, 157, 158, 179, 191, 191, 216, 236, 238, 253, 259, 259, 262, 271, 293, 319, 345, 377, 384, 387, 406, 429, 435, 480, 539, 607, 615, 642, 648, 694, 707, 718, 719, 917, 917, 1042, 1084, 1144, 1150, 1159, 1308, 1364, 1499, 1566, 1925, 2083, 2114, 2141, 2208, 2216, 2221, 2272, 2437, 2507, 2543, 2584, 2708, 2726, 2763, 2955, 3138, 3255, 3270, 3293, 3317, 3798, 3958, 3999, 4130, 4322, 4553, 4855, 4909, 4961, 5046, 5172, 5178, 5376, 5599, 5732, 6156, 6234, 6381, 6413, 6524, 6833, 7081, 7737, 7737, 8034, 8099, 8492, 8788, 8893, 8914, 8917, 9522, 9720, 9754, 9818, 9895, 10043, 10693, 10701, 11163, 11217, 11509, 11690, 11797, 12290, 12726, 12796, 13933, 14053, 14070, 14100, 14131, 15587, 16362, 16621, 16934, 17534, 18585, 20653, 21637, 21851, 22244, 22423, 22468, 22976, 23117, 23168, 23320, 24276, 24670, 25797, 26528, 26821, 27267, 27346, 28389, 30336, 33424, 33776, 36089, 40421, 42052, 43707, 52182, 57695, 77763, 78845, 80787, 85119, 87948, 113039, 115526, 170574, 196762, 254004, 271155, 351118, 405945, 444866, 449487 ]
3
[ 0, 4, 11, 2, 37, 9, 6, 25, 23, 14, 1, 13, 12, 1, 21, 12, 0, 25, 20, 2, 15, 6, 0, 3, 9, 22, 26, 26, 32, 7, 3, 19, 23, 6, 45, 59, 68, 8, 27, 6, 46, 13, 11, 1, 198, 0, 125, 42, 60, 6, 9, 149, 56, 135, 67, 359, 158, 31, 27, 67, 8, 5, 51, 165, 70, 36, 41, 124, 18, 37, 192, 183, 117, 15, 23, 24, 481, 160, 41, 131, 192, 231, 302, 54, 52, 85, 126, 6, 198, 223, 133, 424, 78, 147, 32, 111, 309, 248, 656, 0, 297, 65, 393, 296, 105, 21, 3, 605, 198, 34, 64, 77, 148, 650, 8, 462, 54, 292, 181, 107, 493, 436, 70, 1137, 120, 17, 30, 31, 1456, 775, 259, 313, 600, 1051, 2068, 984, 214, 393, 179, 45, 508, 141, 51, 152, 956, 394, 1127, 731, 293, 446, 79, 1043, 1947, 3088, 352, 2313, 4332, 1631, 1655, 8475, 5513, 20068, 1082, 1942, 4332, 2829, 25091, 2487, 55048, 26188, 57242, 17151, 79963, 54827, 38921, 4621 ]
176
149
[ 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0 ]
[ 0, 16, 18, 26, 28, 38, 48, 49, 51, 52, 61, 64, 77, 91, 130, 160, 164, 227, 256, 334, 362, 364, 372, 429, 466, 540, 545, 676, 754, 824, 838, 865, 1067, 1408, 1460, 1529, 1575, 1595, 1640, 1644, 1730, 5000, 5050, 8316, 8459, 8646, 8723, 8786, 9015, 9653, 9988, 10988, 19363 ]
3
[ 0, 16, 2, 8, 2, 10, 10, 1, 2, 1, 9, 3, 13, 14, 39, 30, 4, 63, 29, 78, 28, 2, 8, 57, 37, 74, 5, 131, 78, 70, 14, 27, 202, 341, 52, 69, 46, 20, 45, 4, 86, 3270, 50, 3266, 143, 187, 77, 63, 229, 638, 335, 1000, 8375 ]
53
150
[ 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1 ]
[ 0, 5, 11, 11, 12, 13, 15, 17, 20, 24, 26, 27, 28, 34, 34, 34, 37, 40, 43, 43, 44, 50, 63, 69, 71, 74, 75, 77, 82, 83, 98, 173, 174, 184, 190, 192, 193, 194, 201, 205, 215, 223, 225, 229, 234, 235, 236, 252, 257, 276, 278, 296, 327, 336, 337, 352, 367, 377, 413, 427, 506, 525, 533, 697, 792, 939, 944, 999, 1007, 1020, 1049, 1105, 1113, 1129, 1332, 1335, 1592, 2452, 2835, 3033, 3130, 3334, 5009, 5343, 5551, 6443, 7142, 7282, 7334, 7393, 7756, 8863, 9796, 9825, 10197, 10675, 10691, 11004, 12236, 13477, 14396, 16767, 16861, 17323, 18569, 22943, 30692, 34896, 37747, 48966, 52502, 61568, 65077, 79386, 84909 ]
3
[ 0, 5, 6, 0, 1, 1, 2, 2, 3, 4, 2, 1, 1, 6, 0, 0, 3, 3, 3, 0, 1, 6, 13, 6, 2, 3, 1, 2, 5, 1, 15, 75, 1, 10, 6, 2, 1, 1, 7, 4, 10, 8, 2, 4, 5, 1, 1, 16, 5, 19, 2, 18, 31, 9, 1, 15, 15, 10, 36, 14, 79, 19, 8, 164, 95, 147, 5, 55, 8, 13, 29, 56, 8, 16, 203, 3, 257, 860, 383, 198, 97, 204, 1675, 334, 208, 892, 699, 140, 52, 59, 363, 1107, 933, 29, 372, 478, 16, 313, 1232, 1241, 919, 2371, 94, 462, 1246, 4374, 7749, 4204, 2851, 11219, 3536, 9066, 3509, 14309, 5523 ]
115
151
[ 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2 ]
[ 0, 33, 35, 36, 43, 49, 55, 55, 57, 58, 62, 63, 63, 73, 76, 77, 85, 87, 98, 110, 114, 115, 116, 117, 119, 129, 132, 135, 144, 146, 149, 175, 178, 183, 192, 206, 211, 215, 219, 249, 264, 274, 283, 287, 296, 309, 328, 330, 360, 371, 377, 381, 390, 411, 411, 444, 497, 517, 559, 579, 626, 631, 670, 677, 708, 740, 786, 816, 820, 871, 881, 890, 950, 1033, 1044, 1079, 1189, 1224, 1228, 1230, 1253, 1294, 1317, 1348, 1353, 1358, 1434, 1516, 1541, 1638, 1700, 1796, 1868, 1910, 1939, 2018, 2049, 2211, 2289, 2344, 2345, 2430, 2552, 2585, 2717, 2813, 3070, 3374, 3573, 3719, 3928, 4333, 4809, 5161, 5190, 5688, 6014, 6043, 6745, 7043, 7391, 7392, 7743, 7931, 8632, 10331, 10756, 12291, 12975, 13079, 13154, 13509, 14161, 14703, 14777, 15053, 16612, 17086, 18133, 18274, 20136, 20285, 20818, 23359, 24614, 24945, 25501, 26520, 26862, 31129, 33539, 39904, 55106, 55927, 56908, 66934, 85958, 100623, 103536, 109127, 113951, 116072, 233960, 300397 ]
3
[ 0, 33, 2, 1, 7, 6, 6, 0, 2, 1, 4, 1, 0, 10, 3, 1, 8, 2, 11, 12, 4, 1, 1, 1, 2, 10, 3, 3, 9, 2, 3, 26, 3, 5, 9, 14, 5, 4, 4, 30, 15, 10, 9, 4, 9, 13, 19, 2, 30, 11, 6, 4, 9, 21, 0, 33, 53, 20, 42, 20, 47, 5, 39, 7, 31, 32, 46, 30, 4, 51, 10, 9, 60, 83, 11, 35, 110, 35, 4, 2, 23, 41, 23, 31, 5, 5, 76, 82, 25, 97, 62, 96, 72, 42, 29, 79, 31, 162, 78, 55, 1, 85, 122, 33, 132, 96, 257, 304, 199, 146, 209, 405, 476, 352, 29, 498, 326, 29, 702, 298, 348, 1, 351, 188, 701, 1699, 425, 1535, 684, 104, 75, 355, 652, 542, 74, 276, 1559, 474, 1047, 141, 1862, 149, 533, 2541, 1255, 331, 556, 1019, 342, 4267, 2410, 6365, 15202, 821, 981, 10026, 19024, 14665, 2913, 5591, 4824, 2121, 117888, 66437 ]
164
152
[ 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2 ]
[ 0, 4, 6, 7, 17, 20, 20, 22, 27, 36, 46, 51, 52, 56, 63, 64, 69, 72, 85, 86, 90, 96, 96, 97, 98, 98, 100, 109, 115, 117, 129, 136, 141, 142, 147, 161, 163, 223, 240, 241, 241, 243, 244, 258, 259, 266, 283, 283, 315, 315, 318, 318, 328, 341, 379, 416, 418, 447, 464, 466, 468, 510, 535, 536, 596, 645, 689, 708, 726, 782, 838, 940, 947, 957, 960, 992, 1008, 1064, 1124, 1171, 1186, 1240, 1248, 1303, 1330, 1354, 1357, 1391, 1478, 1647, 1649, 1853, 2158, 2323, 2325, 2414, 2551, 2721, 2919, 3126, 3335, 3494, 3673, 3890, 4101, 4492, 5479, 6145, 7321, 7598, 7669, 8261, 8688, 8886, 8968, 9850, 10271, 11746, 16691, 22074, 23712, 24300, 24966, 27865, 40534, 43292, 45189, 46019, 47206, 49081, 58759, 60722, 65805, 85911, 88442, 118760, 192867, 195642, 254275, 280408, 281629, 281690, 283436, 283653, 286265, 336058, 441679, 446685, 460417 ]
3
[ 0, 4, 2, 1, 10, 3, 0, 2, 5, 9, 10, 5, 1, 4, 7, 1, 5, 3, 13, 1, 4, 6, 0, 1, 1, 0, 2, 9, 6, 2, 12, 7, 5, 1, 5, 14, 2, 60, 17, 1, 0, 2, 1, 14, 1, 7, 17, 0, 32, 0, 3, 0, 10, 13, 38, 37, 2, 29, 17, 2, 2, 42, 25, 1, 60, 49, 44, 19, 18, 56, 56, 102, 7, 10, 3, 32, 16, 56, 60, 47, 15, 54, 8, 55, 27, 24, 3, 34, 87, 169, 2, 204, 305, 165, 2, 89, 137, 170, 198, 207, 209, 159, 179, 217, 211, 391, 987, 666, 1176, 277, 71, 592, 427, 198, 82, 882, 421, 1475, 4945, 5383, 1638, 588, 666, 2899, 12669, 2758, 1897, 830, 1187, 1875, 9678, 1963, 5083, 20106, 2531, 30318, 74107, 2775, 58633, 26133, 1221, 61, 1746, 217, 2612, 49793, 105621, 5006, 13732 ]
149
153
[ 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1 ]
[ 0, 18, 19, 22, 28, 29, 30, 36, 41, 43, 45, 48, 66, 67, 72, 75, 75, 81, 81, 82, 84, 86, 88, 101, 101, 112, 121, 137, 140, 164, 169, 205, 216, 219, 239, 240, 246, 282, 363, 376, 386, 489, 642, 699, 702, 755, 790, 1153, 1598, 3028, 5284, 5617, 5898, 6681, 7119, 9949, 25659, 42170, 47761, 53555, 62151, 92975, 133982, 252843, 421848 ]
3
[ 0, 18, 1, 3, 6, 1, 1, 6, 5, 2, 2, 3, 18, 1, 5, 3, 0, 6, 0, 1, 2, 2, 2, 13, 0, 11, 9, 16, 3, 24, 5, 36, 11, 3, 20, 1, 6, 36, 81, 13, 10, 103, 153, 57, 3, 53, 35, 363, 445, 1430, 2256, 333, 281, 783, 438, 2830, 15710, 16511, 5591, 5794, 8596, 30824, 41007, 118861, 169005 ]
65
154
[ 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0 ]
[ 0, 7, 13, 16, 25, 25, 29, 29, 30, 30, 32, 34, 35, 35, 36, 39, 44, 50, 53, 55, 56, 77, 78, 80, 82, 87, 88, 90, 91, 95, 96, 101, 102, 111, 116, 118, 124, 151, 153, 157, 173, 180, 196, 196, 199, 213, 234, 336, 348, 360, 389, 389, 416, 433, 450, 456, 529, 584, 672, 727, 735, 783, 799, 813, 828, 891, 1236, 1306, 1308, 1313, 1497, 1569, 1593, 1601, 1641, 1823, 1882, 1944, 1981, 2052, 2124, 2527, 2554, 2708, 2984, 3341, 3675, 4530, 4679, 4770, 4772, 5174, 5455, 5792, 6046, 6046, 6122, 7476, 7911, 9131, 9372, 9949, 10115, 11300, 11403, 12488, 13571, 14551, 16638, 24677, 25561, 25711, 26050, 29471, 30842, 31182, 31289, 31676, 41031, 57164, 69323, 90816, 123739, 162666, 194696, 216294, 232154, 345493 ]
3
[ 0, 7, 6, 3, 9, 0, 4, 0, 1, 0, 2, 2, 1, 0, 1, 3, 5, 6, 3, 2, 1, 21, 1, 2, 2, 5, 1, 2, 1, 4, 1, 5, 1, 9, 5, 2, 6, 27, 2, 4, 16, 7, 16, 0, 3, 14, 21, 102, 12, 12, 29, 0, 27, 17, 17, 6, 73, 55, 88, 55, 8, 48, 16, 14, 15, 63, 345, 70, 2, 5, 184, 72, 24, 8, 40, 182, 59, 62, 37, 71, 72, 403, 27, 154, 276, 357, 334, 855, 149, 91, 2, 402, 281, 337, 254, 0, 76, 1354, 435, 1220, 241, 577, 166, 1185, 103, 1085, 1083, 980, 2087, 8039, 884, 150, 339, 3421, 1371, 340, 107, 387, 9355, 16133, 12159, 21493, 32923, 38927, 32030, 21598, 15860, 113339 ]
128
155
[ 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0 ]
[ 0, 33, 49, 60, 71, 91, 116, 127, 148, 177, 238, 272, 274, 292, 341, 423, 474, 497, 547, 580, 611, 1377, 1485, 1823, 2182, 2532, 2739, 2939, 3531, 3994, 5152, 5154, 6908, 7458, 8343, 8465, 8635, 9580, 10266, 10971, 11739, 11866, 11909, 12120, 12171, 12350, 13383, 13477, 16360, 16746, 18069, 21031, 23674, 60126, 67676, 105999, 238177, 505275 ]
3
[ 0, 33, 16, 11, 11, 20, 25, 11, 21, 29, 61, 34, 2, 18, 49, 82, 51, 23, 50, 33, 31, 766, 108, 338, 359, 350, 207, 200, 592, 463, 1158, 2, 1754, 550, 885, 122, 170, 945, 686, 705, 768, 127, 43, 211, 51, 179, 1033, 94, 2883, 386, 1323, 2962, 2643, 36452, 7550, 38323, 132178, 267098 ]
58
156
[ 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1 ]
[ 0, 1, 5, 9, 39, 44, 58, 63, 66, 73, 101, 107, 127, 134, 141, 159, 176, 182, 205, 236, 246, 250, 276, 308, 318, 350, 361, 364, 387, 391, 436, 581, 604, 644, 701, 758, 823, 861, 916, 954, 997, 1021, 1046, 1156, 1208, 1303, 1386, 1408, 1503, 1648, 1795, 1815, 2130, 2451, 2559, 2780, 3120, 3369, 3780, 4400, 4408, 5028, 5050, 5148, 5148, 5154, 5154, 5289, 5305, 5346, 5384, 5496, 5549, 5603, 5603, 5640, 5701, 5847, 5912, 6058, 6101, 6339, 6795, 6865, 7068, 7364, 7455, 7566, 7826, 7966, 9479, 10369, 10394, 10412, 10423, 10585, 11383, 11395, 11400, 11744, 12226, 12228, 12336, 12352, 12555, 13235, 13411, 15937, 15954, 16270, 16435, 16827, 17346, 19605, 19633, 21476, 21657, 40016, 44825, 64033, 66312, 70896, 70991, 71100, 71657, 72603, 75278, 76593, 78121, 81726, 81840, 83471, 84242, 86240, 86328, 86477, 86747, 86801, 87348, 87404, 88491, 91671, 97395, 97681, 97721, 103575, 104295, 104386, 104422, 104817, 115251, 144608, 147298, 156210, 157614, 172824, 175483, 179126, 190695, 190819, 237645, 242808, 255426, 259389, 259871, 271196, 273850, 291756, 314249, 333690, 362211, 373767, 393338, 415993, 436387 ]
3
[ 0, 1, 4, 4, 30, 5, 14, 5, 3, 7, 28, 6, 20, 7, 7, 18, 17, 6, 23, 31, 10, 4, 26, 32, 10, 32, 11, 3, 23, 4, 45, 145, 23, 40, 57, 57, 65, 38, 55, 38, 43, 24, 25, 110, 52, 95, 83, 22, 95, 145, 147, 20, 315, 321, 108, 221, 340, 249, 411, 620, 8, 620, 22, 98, 0, 6, 0, 135, 16, 41, 38, 112, 53, 54, 0, 37, 61, 146, 65, 146, 43, 238, 456, 70, 203, 296, 91, 111, 260, 140, 1513, 890, 25, 18, 11, 162, 798, 12, 5, 344, 482, 2, 108, 16, 203, 680, 176, 2526, 17, 316, 165, 392, 519, 2259, 28, 1843, 181, 18359, 4809, 19208, 2279, 4584, 95, 109, 557, 946, 2675, 1315, 1528, 3605, 114, 1631, 771, 1998, 88, 149, 270, 54, 547, 56, 1087, 3180, 5724, 286, 40, 5854, 720, 91, 36, 395, 10434, 29357, 2690, 8912, 1404, 15210, 2659, 3643, 11569, 124, 46826, 5163, 12618, 3963, 482, 11325, 2654, 17906, 22493, 19441, 28521, 11556, 19571, 22655, 20394 ]
175
157
[ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1 ]
[ 0, 0, 5, 15, 19, 19, 24, 30, 33, 36, 36, 42, 45, 53, 63, 64, 70, 75, 81, 85, 92, 99, 100, 104, 105, 105, 106, 113, 122, 125, 127, 129, 134, 144, 164, 188, 197, 199, 200, 203, 218, 218, 224, 224, 271, 284, 293, 349, 349, 361, 407, 491, 635, 702, 795, 825, 1043, 2932, 3760, 6177, 6677, 7541, 7852, 7852, 14414, 17517, 17781, 18802, 19608, 19633, 19660, 19687, 20573, 20791, 21812, 22750, 24501, 25280, 34744, 40001, 40049, 41973, 42114, 79318, 79427, 81237, 87101, 88309, 91295, 101231, 116727, 199261, 206629, 208021, 337583, 381071 ]
3
[ 0, 0, 5, 10, 4, 0, 5, 6, 3, 3, 0, 6, 3, 8, 10, 1, 6, 5, 6, 4, 7, 7, 1, 4, 1, 0, 1, 7, 9, 3, 2, 2, 5, 10, 20, 24, 9, 2, 1, 3, 15, 0, 6, 0, 47, 13, 9, 56, 0, 12, 46, 84, 144, 67, 93, 30, 218, 1889, 828, 2417, 500, 864, 311, 0, 6562, 3103, 264, 1021, 806, 25, 27, 27, 886, 218, 1021, 938, 1751, 779, 9464, 5257, 48, 1924, 141, 37204, 109, 1810, 5864, 1208, 2986, 9936, 15496, 82534, 7368, 1392, 129562, 43488 ]
96
158
[ 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1 ]
[ 0, 304, 440, 1388, 1686, 1946, 2344, 2376, 2759, 4249, 4375, 4995, 6054, 6154, 6155, 6191, 6206, 6222, 6454, 6469, 6486, 6510, 6571, 6581, 6636, 6663, 6726, 6848, 6970, 7024, 7204, 7226, 7243, 7339, 7395, 7434, 7447, 7461, 7462, 7615, 7744, 7802, 7934, 8257, 8408, 8518, 8635, 8658, 8678, 8811, 8947, 8987, 9030, 9290, 9389, 9517, 9588, 9629, 9646, 9647, 9936, 9990, 10042, 10196, 10232, 10335, 10905, 11383, 11392, 11615, 11807, 11900, 11904, 12007, 12184, 12438, 12529, 12542, 12628, 12777, 12785, 13384, 13409, 13523, 13809, 14097, 14128, 14393, 14494, 15214, 15412, 15697, 15729, 16110, 16958, 17287, 17318, 18539, 20706, 21186, 24464, 24739, 24838, 25159, 25959, 28057, 28096, 28364, 28877, 28933, 29024, 29076, 29704, 29935, 30962, 31259, 31278, 33157, 36831, 139034 ]
3
[ 0, 304, 136, 948, 298, 260, 398, 32, 383, 1490, 126, 620, 1059, 100, 1, 36, 15, 16, 232, 15, 17, 24, 61, 10, 55, 27, 63, 122, 122, 54, 180, 22, 17, 96, 56, 39, 13, 14, 1, 153, 129, 58, 132, 323, 151, 110, 117, 23, 20, 133, 136, 40, 43, 260, 99, 128, 71, 41, 17, 1, 289, 54, 52, 154, 36, 103, 570, 478, 9, 223, 192, 93, 4, 103, 177, 254, 91, 13, 86, 149, 8, 599, 25, 114, 286, 288, 31, 265, 101, 720, 198, 285, 32, 381, 848, 329, 31, 1221, 2167, 480, 3278, 275, 99, 321, 800, 2098, 39, 268, 513, 56, 91, 52, 628, 231, 1027, 297, 19, 1879, 3674, 102203 ]
120
159
[ 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 ]
[ 0, 23, 38, 38, 42, 42, 50, 52, 56, 87, 114, 130, 149, 158, 175, 230, 242, 248, 249, 260, 278, 293, 312, 339, 342, 368, 410, 427, 445, 474, 668, 680, 883, 897, 925, 976, 1065, 1121, 1235, 1266, 1291, 1414, 1654, 2300, 2375, 2697, 2805, 3201, 3734, 3944, 4135, 4736, 5392, 6521, 7589, 8227, 9335, 11296, 15477, 17799, 18395, 36078, 46376, 55210, 56371, 57342, 68133, 68369, 84977 ]
3
[ 0, 23, 15, 0, 4, 0, 8, 2, 4, 31, 27, 16, 19, 9, 17, 55, 12, 6, 1, 11, 18, 15, 19, 27, 3, 26, 42, 17, 18, 29, 194, 12, 203, 14, 28, 51, 89, 56, 114, 31, 25, 123, 240, 646, 75, 322, 108, 396, 533, 210, 191, 601, 656, 1129, 1068, 638, 1108, 1961, 4181, 2322, 596, 17683, 10298, 8834, 1161, 971, 10791, 236, 16608 ]
69
160
[ 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ]
[ 0, 5, 6, 6, 8, 9, 9, 17, 20, 24, 24, 25, 25, 25, 26, 26, 28, 29, 30, 31, 31, 31, 34, 34, 34, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 46, 52, 52, 54, 54, 55, 59, 59, 60, 64, 65, 67, 69, 73, 73, 73, 77, 78, 82, 83, 83, 87, 92, 95, 98, 101, 103, 114, 117, 117, 120, 120, 127, 129, 150, 155, 173, 180, 180, 193, 194, 198, 205, 206, 223, 228, 245, 248, 268, 269, 281, 288, 294, 297, 306, 319, 337, 337, 344, 357, 358, 359, 409, 412, 429, 439, 495, 513, 521, 645, 649, 685, 817, 951, 1081, 1132, 1199, 1338, 1577, 2231, 2266, 2450, 2589, 2685, 2707, 2768, 3026, 3299, 3410, 3617, 3655, 3655, 3856, 4383, 4574, 4664, 4905, 5072, 5351, 5629, 5810, 5864, 6259, 7670, 7866, 9016, 9518, 11912, 11961, 12149, 12559, 13656, 14940, 17984, 21247, 26543, 29021, 30553, 31813, 33808, 36031, 62535, 74738, 76412, 77661, 79037, 81992, 89146, 89317, 90021, 90887, 92698, 546357 ]
3
[ 0, 5, 1, 0, 2, 1, 0, 8, 3, 4, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 3, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 6, 0, 2, 0, 1, 4, 0, 1, 4, 1, 2, 2, 4, 0, 0, 4, 1, 4, 1, 0, 4, 5, 3, 3, 3, 2, 11, 3, 0, 3, 0, 7, 2, 21, 5, 18, 7, 0, 13, 1, 4, 7, 1, 17, 5, 17, 3, 20, 1, 12, 7, 6, 3, 9, 13, 18, 0, 7, 13, 1, 1, 50, 3, 17, 10, 56, 18, 8, 124, 4, 36, 132, 134, 130, 51, 67, 139, 239, 654, 35, 184, 139, 96, 22, 61, 258, 273, 111, 207, 38, 0, 201, 527, 191, 90, 241, 167, 279, 278, 181, 54, 395, 1411, 196, 1150, 502, 2394, 49, 188, 410, 1097, 1284, 3044, 3263, 5296, 2478, 1532, 1260, 1995, 2223, 26504, 12203, 1674, 1249, 1376, 2955, 7154, 171, 704, 866, 1811, 453659 ]
171
161
[ 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0 ]
[ 0, 18, 26, 36, 36, 41, 42, 50, 54, 55, 59, 66, 69, 76, 78, 84, 92, 97, 99, 107, 108, 108, 121, 123, 129, 158, 164, 171, 182, 193, 195, 212, 232, 240, 246, 272, 287, 361, 382, 382, 425, 440, 476, 480, 483, 484, 509, 531, 531, 541, 553, 568, 581, 627, 664, 666, 722, 806, 837, 841, 917, 959, 1048, 1065, 1202, 1227, 1274, 1306, 1367, 1748, 1902, 2083, 2130, 2349, 2436, 17305, 17393 ]
3
[ 0, 18, 8, 10, 0, 5, 1, 8, 4, 1, 4, 7, 3, 7, 2, 6, 8, 5, 2, 8, 1, 0, 13, 2, 6, 29, 6, 7, 11, 11, 2, 17, 20, 8, 6, 26, 15, 74, 21, 0, 43, 15, 36, 4, 3, 1, 25, 22, 0, 10, 12, 15, 13, 46, 37, 2, 56, 84, 31, 4, 76, 42, 89, 17, 137, 25, 47, 32, 61, 381, 154, 181, 47, 219, 87, 14869, 88 ]
77
162
[ 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1 ]
[ 0, 0, 6, 7, 10, 13, 16, 19, 20, 21, 21, 22, 25, 25, 30, 31, 32, 33, 36, 38, 38, 43, 43, 45, 101, 102, 105, 106, 107, 112, 113, 113, 114, 117, 120, 121, 121, 125, 127, 132, 134, 151, 155, 155, 159, 160, 163, 165, 169, 181, 182, 182, 184, 184, 190, 193, 193, 197, 208, 216, 277, 279, 280, 288, 302, 305, 305, 306, 332, 351, 353, 356, 360, 364, 385, 388, 389, 396, 403, 412, 469, 479, 501, 501, 503, 505, 507, 511, 512, 518, 522, 523, 524, 559, 564, 572, 586, 589, 592, 688, 689, 699, 722, 735, 743, 750, 776, 781, 839, 938, 1001, 1073, 1076, 1077, 1094, 1114, 1135, 1236, 1259, 1294, 1491, 1502, 1602, 1609, 1615, 1629, 1714, 1804, 1834, 1860, 1980, 1992, 2157, 2179, 2183, 2203, 2383, 2502, 2614, 2637, 2980, 3001, 3003, 3061, 3210, 3211, 3340, 3374, 3713, 3851, 3859, 4121, 4217, 4534, 4649, 4689, 4823, 4824, 5334, 5500, 6071, 6090, 6464, 6662, 7120, 7908, 8161, 8312, 8565, 8617, 10190, 10906, 12342, 13261, 14230, 17405, 18369, 19315, 20046, 20359, 20806, 23890, 23907, 25662, 26088, 26209, 29854, 31399, 43628, 45007, 49416, 55104, 64744, 78869, 82817, 93989, 107071 ]
3
[ 0, 0, 6, 1, 3, 3, 3, 3, 1, 1, 0, 1, 3, 0, 5, 1, 1, 1, 3, 2, 0, 5, 0, 2, 56, 1, 3, 1, 1, 5, 1, 0, 1, 3, 3, 1, 0, 4, 2, 5, 2, 17, 4, 0, 4, 1, 3, 2, 4, 12, 1, 0, 2, 0, 6, 3, 0, 4, 11, 8, 61, 2, 1, 8, 14, 3, 0, 1, 26, 19, 2, 3, 4, 4, 21, 3, 1, 7, 7, 9, 57, 10, 22, 0, 2, 2, 2, 4, 1, 6, 4, 1, 1, 35, 5, 8, 14, 3, 3, 96, 1, 10, 23, 13, 8, 7, 26, 5, 58, 99, 63, 72, 3, 1, 17, 20, 21, 101, 23, 35, 197, 11, 100, 7, 6, 14, 85, 90, 30, 26, 120, 12, 165, 22, 4, 20, 180, 119, 112, 23, 343, 21, 2, 58, 149, 1, 129, 34, 339, 138, 8, 262, 96, 317, 115, 40, 134, 1, 510, 166, 571, 19, 374, 198, 458, 788, 253, 151, 253, 52, 1573, 716, 1436, 919, 969, 3175, 964, 946, 731, 313, 447, 3084, 17, 1755, 426, 121, 3645, 1545, 12229, 1379, 4409, 5688, 9640, 14125, 3948, 11172, 13082 ]
197
163
[ 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0 ]
[ 0, 4, 4, 6, 11, 13, 17, 17, 19, 20, 22, 22, 22, 24, 24, 24, 27, 28, 29, 33, 36, 36, 36, 37, 39, 43, 44, 45, 50, 51, 54, 56, 56, 60, 64, 64, 66, 69, 72, 73, 75, 76, 81, 84, 86, 101, 102, 103, 105, 108, 109, 116, 117, 119, 121, 122, 122, 123, 123, 124, 125, 125, 127, 128, 130, 130, 131, 136, 142, 145, 154, 155, 156, 158, 174, 188, 190, 193, 201, 208, 211, 212, 217, 219, 232, 237, 248, 249, 260, 262, 263, 278, 279, 285, 297, 308, 322, 325, 342, 343, 344, 351, 354, 372, 373, 374, 378, 384, 395, 402, 436, 445, 468, 474, 543, 563, 598, 668, 669, 760, 806, 819, 840, 865, 871, 890, 898, 910, 918, 930, 955, 973, 1043, 1059, 1074, 1156, 1220, 1285, 1313, 1579, 1599, 1739, 1740, 1926, 1982, 2490, 2583, 2589, 2599, 2894, 3008, 3168, 3303, 3424, 3438, 3460, 3473, 3493, 3610, 3635, 3654, 3662, 3684, 3708, 3799, 3902, 3929, 4057, 4677, 5039, 5429, 5661, 5709, 5949, 6778, 6877, 6965, 7920, 8032, 8082, 8177, 8333, 8400, 8549, 10875, 12793, 12963, 14559, 16618, 40183, 47664, 88133, 93714, 177609 ]
3
[ 0, 4, 0, 2, 5, 2, 4, 0, 2, 1, 2, 0, 0, 2, 0, 0, 3, 1, 1, 4, 3, 0, 0, 1, 2, 4, 1, 1, 5, 1, 3, 2, 0, 4, 4, 0, 2, 3, 3, 1, 2, 1, 5, 3, 2, 15, 1, 1, 2, 3, 1, 7, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 5, 6, 3, 9, 1, 1, 2, 16, 14, 2, 3, 8, 7, 3, 1, 5, 2, 13, 5, 11, 1, 11, 2, 1, 15, 1, 6, 12, 11, 14, 3, 17, 1, 1, 7, 3, 18, 1, 1, 4, 6, 11, 7, 34, 9, 23, 6, 69, 20, 35, 70, 1, 91, 46, 13, 21, 25, 6, 19, 8, 12, 8, 12, 25, 18, 70, 16, 15, 82, 64, 65, 28, 266, 20, 140, 1, 186, 56, 508, 93, 6, 10, 295, 114, 160, 135, 121, 14, 22, 13, 20, 117, 25, 19, 8, 22, 24, 91, 103, 27, 128, 620, 362, 390, 232, 48, 240, 829, 99, 88, 955, 112, 50, 95, 156, 67, 149, 2326, 1918, 170, 1596, 2059, 23565, 7481, 40469, 5581, 83895 ]
194
164
[ 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1 ]
[ 0, 11, 12, 15, 18, 22, 23, 46, 50, 50, 50, 51, 56, 57, 65, 71, 72, 92, 96, 98, 104, 117, 120, 122, 126, 127, 129, 139, 151, 153, 177, 199, 206, 218, 247, 263, 281, 282, 288, 293, 319, 341, 342, 508, 699, 719, 776, 805, 1030, 1042, 1547, 2086, 9562, 10333, 10715, 10782, 11108, 11851, 12219, 13234, 13234, 19736, 23947, 25832, 31141, 38352, 43036, 47817, 54683, 62940, 64134, 74240, 79589, 86941, 94113, 107042, 108176, 255553, 264832, 278934, 434137, 594363 ]
3
[ 0, 11, 1, 3, 3, 4, 1, 23, 4, 0, 0, 1, 5, 1, 8, 6, 1, 20, 4, 2, 6, 13, 3, 2, 4, 1, 2, 10, 12, 2, 24, 22, 7, 12, 29, 16, 18, 1, 6, 5, 26, 22, 1, 166, 191, 20, 57, 29, 225, 12, 505, 539, 7476, 771, 382, 67, 326, 743, 368, 1015, 0, 6502, 4211, 1885, 5309, 7211, 4684, 4781, 6866, 8257, 1194, 10106, 5349, 7352, 7172, 12929, 1134, 147377, 9279, 14102, 155203, 160226 ]
82
165
[ 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1 ]
[ 0, 10, 15, 15, 20, 33, 48, 57, 64, 64, 77, 77, 85, 86, 92, 108, 118, 130, 136, 144, 158, 186, 187, 218, 370, 931, 953, 960, 963, 963, 972, 995, 1000, 1004, 1006, 1013, 1013, 1014, 1019, 1019, 1021, 1021, 1022, 1027, 1028, 1031, 1032, 1032, 1039, 1043, 1044, 1050, 1058, 1058, 1062, 1064, 1071, 1078, 1092, 1094, 1098, 1103, 1109, 1111, 1123, 1134, 1139, 1143, 1152, 1183, 1201, 1405, 2531, 5958, 93732, 105193 ]
3
[ 0, 10, 5, 0, 5, 13, 15, 9, 7, 0, 13, 0, 8, 1, 6, 16, 10, 12, 6, 8, 14, 28, 1, 31, 152, 561, 22, 7, 3, 0, 9, 23, 5, 4, 2, 7, 0, 1, 5, 0, 2, 0, 1, 5, 1, 3, 1, 0, 7, 4, 1, 6, 8, 0, 4, 2, 7, 7, 14, 2, 4, 5, 6, 2, 12, 11, 5, 4, 9, 31, 18, 204, 1126, 3427, 87774, 11461 ]
76
166
[ 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0 ]
[ 0, 8, 10, 16, 16, 22, 32, 33, 35, 40, 40, 52, 58, 65, 70, 74, 75, 77, 83, 85, 86, 88, 89, 91, 92, 98, 106, 120, 144, 149, 162, 163, 173, 179, 189, 202, 227, 233, 249, 250, 250, 252, 259, 288, 299, 2081, 2351, 2391, 2437, 2609, 2672, 3278, 3697, 4578, 4664, 4962, 5216, 5327, 6143, 6282, 8218, 9393, 10934, 11325, 12815, 12858, 13086, 13902, 17620, 18311, 19517, 24095, 25265, 63081, 69018, 78760, 93004, 102049, 142989, 255686, 272310 ]
3
[ 0, 8, 2, 6, 0, 6, 10, 1, 2, 5, 0, 12, 6, 7, 5, 4, 1, 2, 6, 2, 1, 2, 1, 2, 1, 6, 8, 14, 24, 5, 13, 1, 10, 6, 10, 13, 25, 6, 16, 1, 0, 2, 7, 29, 11, 1782, 270, 40, 46, 172, 63, 606, 419, 881, 86, 298, 254, 111, 816, 139, 1936, 1175, 1541, 391, 1490, 43, 228, 816, 3718, 691, 1206, 4578, 1170, 37816, 5937, 9742, 14244, 9045, 40940, 112697, 16624 ]
81
167
[ 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0 ]
[ 0, 5, 6, 6, 7, 10, 14, 14, 16, 17, 19, 19, 21, 30, 31, 33, 36, 37, 37, 38, 39, 43, 45, 45, 48, 49, 53, 58, 62, 62, 70, 71, 73, 73, 77, 85, 87, 98, 104, 106, 109, 109, 109, 109, 122, 122, 139, 139, 151, 151, 151, 151, 155, 155, 156, 156, 157, 157, 160, 160, 191, 220, 227, 227, 230, 240, 256, 262, 277, 288, 321, 321, 335, 366, 381, 425, 493, 516, 529, 593, 606, 811, 819, 925, 1593, 1832, 2096, 2110, 2683, 2886, 3333, 3361, 3568, 6258, 7283, 38180, 49756 ]
3
[ 0, 5, 1, 0, 1, 3, 4, 0, 2, 1, 2, 0, 2, 9, 1, 2, 3, 1, 0, 1, 1, 4, 2, 0, 3, 1, 4, 5, 4, 0, 8, 1, 2, 0, 4, 8, 2, 11, 6, 2, 3, 0, 0, 0, 13, 0, 17, 0, 12, 0, 0, 0, 4, 0, 1, 0, 1, 0, 3, 0, 31, 29, 7, 0, 3, 10, 16, 6, 15, 11, 33, 0, 14, 31, 15, 44, 68, 23, 13, 64, 13, 205, 8, 106, 668, 239, 264, 14, 573, 203, 447, 28, 207, 2690, 1025, 30897, 11576 ]
97
168
[ 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1 ]
[ 0, 69, 69, 71, 77, 106, 122, 124, 130, 154, 231, 241, 266, 275, 292, 393, 462, 587, 610, 778, 784, 835, 996, 1144, 1182, 1198, 1201, 1717, 1722, 1960, 2109, 2148, 2302, 2453, 5157, 5660, 6235, 6372, 6853, 8906, 9162, 9563, 10394, 10818, 10890, 11969, 12379, 12991, 13856, 14534, 15613, 18211, 18548, 21324, 21559, 21658, 22422, 24726, 27099, 29361, 31378, 34693, 34891, 35050, 36344, 39024, 41599, 50619, 52975, 53040, 58166, 61665, 64864, 74123, 80254, 119106, 124907, 128598, 212065, 220742, 302795 ]
3
[ 0, 69, 0, 2, 6, 29, 16, 2, 6, 24, 77, 10, 25, 9, 17, 101, 69, 125, 23, 168, 6, 51, 161, 148, 38, 16, 3, 516, 5, 238, 149, 39, 154, 151, 2704, 503, 575, 137, 481, 2053, 256, 401, 831, 424, 72, 1079, 410, 612, 865, 678, 1079, 2598, 337, 2776, 235, 99, 764, 2304, 2373, 2262, 2017, 3315, 198, 159, 1294, 2680, 2575, 9020, 2356, 65, 5126, 3499, 3199, 9259, 6131, 38852, 5801, 3691, 83467, 8677, 82053 ]
81
169
[ 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1 ]
[ 0, 1, 5, 12, 20, 20, 67, 101, 124, 132, 150, 175, 215, 233, 273, 299, 439, 569, 620, 746, 1181, 1475, 1762, 2145, 2266, 2613, 2931, 4680, 5317, 9425, 16640, 17542, 18791, 19149, 19249, 20687, 21117, 22222, 22334, 23337, 30173, 38632, 42641, 45246, 52277, 52288, 55850, 57501, 58182, 58274, 58381, 58420, 59280, 73485, 85475, 163323, 183446, 226498, 290639, 353855 ]
3
[ 0, 1, 4, 7, 8, 0, 47, 34, 23, 8, 18, 25, 40, 18, 40, 26, 140, 130, 51, 126, 435, 294, 287, 383, 121, 347, 318, 1749, 637, 4108, 7215, 902, 1249, 358, 100, 1438, 430, 1105, 112, 1003, 6836, 8459, 4009, 2605, 7031, 11, 3562, 1651, 681, 92, 107, 39, 860, 14205, 11990, 77848, 20123, 43052, 64141, 63216 ]
60
170
[ 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1 ]
[ 0, 23, 26, 65, 82, 85, 106, 126, 130, 141, 148, 150, 185, 187, 197, 205, 209, 219, 326, 367, 383, 461, 489, 546, 557, 601, 624, 693, 831, 981, 1010, 1058, 1163, 1251, 1314, 1349, 1571, 1602, 1720, 1910, 1934, 2023, 2090, 2177, 2180, 10055, 10758, 10797, 10850, 11121, 11341, 11399, 11403, 11447, 11456, 11477, 11529, 11538, 11564, 11614, 11622, 11650, 11659, 11662, 11673, 11739, 11776, 11792, 11795, 11866, 11900, 11929, 12023, 12042, 12108, 12133, 12144, 12151, 12158, 12246, 12313, 12343, 12385, 12480, 12579, 12684, 12690, 12852, 12874, 12917, 13039, 13172, 13247, 13312, 13344, 13442, 13530, 13793, 13838, 13846, 13866, 13973, 13982, 14013, 14013, 14056, 14064, 14090, 14117, 14227, 14389, 14493, 14915, 14946, 15260, 15274, 15335, 15336, 15391, 15535, 15853, 15921, 15941, 16272, 16394, 16417, 16464, 16654, 16662, 16665, 16677, 16690, 16708, 16746, 16750, 16752, 16765, 16796, 16964, 17023, 17215, 17267, 17482, 17578, 17596, 17684, 17687, 17780, 17793, 17841, 17933, 17969, 17971, 17985, 18147, 18184, 18352, 18416, 18585, 18662, 20421, 21431, 21464, 21808, 22026, 22660, 28520, 30423, 32351, 32375, 32383, 32497, 32499, 32705, 32943, 33904, 34307, 37796, 49586, 58734, 59587, 80436, 80469, 80540, 80597, 81006, 92324, 92402, 92433, 92462, 92560, 92583, 92672, 92748, 93015, 94338, 107629, 107683, 114245, 341178, 341202 ]
3
[ 0, 23, 3, 39, 17, 3, 21, 20, 4, 11, 7, 2, 35, 2, 10, 8, 4, 10, 107, 41, 16, 78, 28, 57, 11, 44, 23, 69, 138, 150, 29, 48, 105, 88, 63, 35, 222, 31, 118, 190, 24, 89, 67, 87, 3, 7875, 703, 39, 53, 271, 220, 58, 4, 44, 9, 21, 52, 9, 26, 50, 8, 28, 9, 3, 11, 66, 37, 16, 3, 71, 34, 29, 94, 19, 66, 25, 11, 7, 7, 88, 67, 30, 42, 95, 99, 105, 6, 162, 22, 43, 122, 133, 75, 65, 32, 98, 88, 263, 45, 8, 20, 107, 9, 31, 0, 43, 8, 26, 27, 110, 162, 104, 422, 31, 314, 14, 61, 1, 55, 144, 318, 68, 20, 331, 122, 23, 47, 190, 8, 3, 12, 13, 18, 38, 4, 2, 13, 31, 168, 59, 192, 52, 215, 96, 18, 88, 3, 93, 13, 48, 92, 36, 2, 14, 162, 37, 168, 64, 169, 77, 1759, 1010, 33, 344, 218, 634, 5860, 1903, 1928, 24, 8, 114, 2, 206, 238, 961, 403, 3489, 11790, 9148, 853, 20849, 33, 71, 57, 409, 11318, 78, 31, 29, 98, 23, 89, 76, 267, 1323, 13291, 54, 6562, 226933, 24 ]
201
171
[ 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8, 9, 18, 25, 34, 39, 46, 48, 48, 60, 61, 112, 126, 132, 140, 140, 145, 148, 153, 155, 187, 197, 393, 463, 465, 495, 499, 569, 877, 898, 1003, 1266, 1385, 1588, 1773, 2133, 2759, 4643, 4929, 8699, 14116, 14198, 35607, 47923, 49770, 74579, 82358, 82385, 82432, 83306, 83309, 83365, 83399, 83421, 83531, 83638, 87096, 139808, 139950, 139950, 144231, 147010, 160282, 185571, 211279, 220664, 242171, 262111, 340146, 405925, 526779, 529117, 529146, 576112, 595068 ]
3
[ 0, 8, 1, 9, 7, 9, 5, 7, 2, 0, 12, 1, 51, 14, 6, 8, 0, 5, 3, 5, 2, 32, 10, 196, 70, 2, 30, 4, 70, 308, 21, 105, 263, 119, 203, 185, 360, 626, 1884, 286, 3770, 5417, 82, 21409, 12316, 1847, 24809, 7779, 27, 47, 874, 3, 56, 34, 22, 110, 107, 3458, 52712, 142, 0, 4281, 2779, 13272, 25289, 25708, 9385, 21507, 19940, 78035, 65779, 120854, 2338, 29, 46966, 18956 ]
76
172
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1 ]
[ 0, 341, 1371, 1378, 1800, 1937, 2136, 2435, 2446, 2943, 3051, 3212, 3529, 3812, 5447, 6208, 6661, 7128, 7258, 7273, 7323, 8925, 9139, 9226, 9329, 9523, 9636, 9741, 10102, 10132, 10500, 10758, 10949, 12038, 12059, 13638, 14283, 14631, 15217, 15223, 17903, 24951, 24999, 28981, 36018, 38256, 45959, 48301, 49226, 50870, 54479, 56998, 60561, 64504, 66060, 95838, 117805, 133738, 492265, 558702 ]
3
[ 0, 341, 1030, 7, 422, 137, 199, 299, 11, 497, 108, 161, 317, 283, 1635, 761, 453, 467, 130, 15, 50, 1602, 214, 87, 103, 194, 113, 105, 361, 30, 368, 258, 191, 1089, 21, 1579, 645, 348, 586, 6, 2680, 7048, 48, 3982, 7037, 2238, 7703, 2342, 925, 1644, 3609, 2519, 3563, 3943, 1556, 29778, 21967, 15933, 358527, 66437 ]
60
173
[ 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 5, 7, 9, 19, 22, 24, 25, 25, 26, 35, 37, 40, 53, 54, 60, 77, 79, 91, 93, 106, 118, 132, 137, 141, 204, 210, 212, 222, 262, 273, 294, 295, 336, 343, 356, 380, 430, 441, 449, 532, 533, 686, 701, 756, 758, 760, 968, 1066, 1154, 1164, 1215, 1224, 1384, 1603, 1643, 1725, 1789, 1822, 1931, 1935, 2056, 2088, 2109, 2331, 2344, 2360, 2644, 3072, 3104, 3462, 3606, 3665, 4169, 4732, 5873, 8761, 8901, 9249, 9251, 18828, 28081, 78967, 88107 ]
3
[ 0, 5, 2, 2, 10, 3, 2, 1, 0, 1, 9, 2, 3, 13, 1, 6, 17, 2, 12, 2, 13, 12, 14, 5, 4, 63, 6, 2, 10, 40, 11, 21, 1, 41, 7, 13, 24, 50, 11, 8, 83, 1, 153, 15, 55, 2, 2, 208, 98, 88, 10, 51, 9, 160, 219, 40, 82, 64, 33, 109, 4, 121, 32, 21, 222, 13, 16, 284, 428, 32, 358, 144, 59, 504, 563, 1141, 2888, 140, 348, 2, 9577, 9253, 50886, 9140 ]
84
174
[ 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 4, 5, 6, 9, 9, 10, 11, 17, 18, 18, 18, 19, 21, 25, 31, 32, 33, 34, 35, 43, 45, 54, 58, 59, 61, 63, 66, 67, 68, 69, 69, 69, 72, 73, 84, 86, 94, 96, 100, 102, 103, 107, 109, 111, 113, 114, 114, 121, 124, 126, 127, 127, 136, 138, 143, 148, 173, 175, 176, 181, 182, 184, 192, 212, 234, 255, 264, 268, 281, 289, 363, 500, 506, 523, 556, 585, 609, 609, 899, 1513, 1527, 1687, 1802, 1902, 4962, 103277, 103753, 192164 ]
3
[ 0, 4, 1, 1, 3, 0, 1, 1, 6, 1, 0, 0, 1, 2, 4, 6, 1, 1, 1, 1, 8, 2, 9, 4, 1, 2, 2, 3, 1, 1, 1, 0, 0, 3, 1, 11, 2, 8, 2, 4, 2, 1, 4, 2, 2, 2, 1, 0, 7, 3, 2, 1, 0, 9, 2, 5, 5, 25, 2, 1, 5, 1, 2, 8, 20, 22, 21, 9, 4, 13, 8, 74, 137, 6, 17, 33, 29, 24, 0, 290, 614, 14, 160, 115, 100, 3060, 98315, 476, 88411 ]
89
175
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 129, 167, 567, 674, 1316, 1339, 1673, 1762, 2090, 5529, 5606, 6599, 7153, 7167, 7399, 7732, 11053, 14586, 15387, 16475, 17308, 17349, 18088, 22802, 23592, 23625, 23630, 23645, 23879, 24584, 25568, 27141, 28179, 28205, 28258, 28261, 28272, 28279, 28289, 28292, 28319, 28445, 28495, 28514, 28527, 28560, 28631, 28631, 28821, 29278, 30456, 33321, 33915, 33932, 33959, 34040, 34238, 34276, 34284, 34290, 34397, 34429, 34470, 34751, 34789, 34803, 34833, 34886, 35248, 35289, 35513, 35538, 35570, 36052, 36327, 36908, 38955, 41741, 42686, 67215, 103256, 103290, 103334, 103334, 103374, 103374, 103723, 103859, 105636, 109168, 109220, 109237, 109266, 109310, 109501, 109503, 110124, 110416, 125712, 125744, 125876, 126440, 127384, 524660 ]
3
[ 0, 129, 38, 400, 107, 642, 23, 334, 89, 328, 3439, 77, 993, 554, 14, 232, 333, 3321, 3533, 801, 1088, 833, 41, 739, 4714, 790, 33, 5, 15, 234, 705, 984, 1573, 1038, 26, 53, 3, 11, 7, 10, 3, 27, 126, 50, 19, 13, 33, 71, 0, 190, 457, 1178, 2865, 594, 17, 27, 81, 198, 38, 8, 6, 107, 32, 41, 281, 38, 14, 30, 53, 362, 41, 224, 25, 32, 482, 275, 581, 2047, 2786, 945, 24529, 36041, 34, 44, 0, 40, 0, 349, 136, 1777, 3532, 52, 17, 29, 44, 191, 2, 621, 292, 15296, 32, 132, 564, 944, 397276 ]
105
176
[ 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1 ]
[ 0, 3, 3, 10, 23, 27, 32, 33, 33, 34, 40, 42, 42, 44, 58, 60, 62, 62, 72, 75, 77, 80, 88, 92, 100, 115, 125, 131, 134, 140, 153, 160, 173, 194, 197, 231, 266, 389, 439, 574, 687, 770, 841, 902, 927, 929, 1112, 1205, 1292, 1468, 1501, 1625, 1680, 2054, 2493, 2688, 3474, 4056, 4132, 4980, 5403, 5474, 5596, 6310, 7516, 8116, 8303, 8352, 8375, 8798, 8841, 8856, 9166, 14084, 19018, 20512, 20536, 20536, 51770, 361442 ]
3
[ 0, 3, 0, 7, 13, 4, 5, 1, 0, 1, 6, 2, 0, 2, 14, 2, 2, 0, 10, 3, 2, 3, 8, 4, 8, 15, 10, 6, 3, 6, 13, 7, 13, 21, 3, 34, 35, 123, 50, 135, 113, 83, 71, 61, 25, 2, 183, 93, 87, 176, 33, 124, 55, 374, 439, 195, 786, 582, 76, 848, 423, 71, 122, 714, 1206, 600, 187, 49, 23, 423, 43, 15, 310, 4918, 4934, 1494, 24, 0, 31234, 309672 ]
80
177
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1 ]
[ 0, 10, 17, 30, 40, 45, 48, 66, 75, 77, 81, 82, 97, 109, 110, 112, 120, 127, 133, 157, 161, 172, 172, 191, 192, 211, 226, 227, 245, 267, 309, 325, 342, 346, 367, 370, 426, 455, 533, 553, 583, 627, 651, 673, 741, 753, 774, 818, 907, 911, 947, 1070, 1136, 1366, 1376, 1381, 1566, 1599, 1625, 1901, 1970, 1979, 2035, 2110, 2233, 2641, 2709, 2723, 3543, 3842, 3881, 4293, 4981, 5023, 5056, 5057, 5068, 5326, 6009, 6198, 6445, 6683, 7458, 8767, 9104, 9340, 10463, 14373, 15207, 16814, 18563, 18725, 19613, 19971, 22182, 23048, 23551, 24016, 24336, 25638, 26264, 26569, 26852, 27358, 27489, 28160, 29294, 30045, 31266, 31329, 31809, 32019, 32637, 32659, 36139, 36731, 38211, 38361, 39940, 43664, 44055, 46810, 47659, 52641, 53139, 54709, 58231, 81205, 150288, 172915, 382001, 426438 ]
3
[ 0, 10, 7, 13, 10, 5, 3, 18, 9, 2, 4, 1, 15, 12, 1, 2, 8, 7, 6, 24, 4, 11, 0, 19, 1, 19, 15, 1, 18, 22, 42, 16, 17, 4, 21, 3, 56, 29, 78, 20, 30, 44, 24, 22, 68, 12, 21, 44, 89, 4, 36, 123, 66, 230, 10, 5, 185, 33, 26, 276, 69, 9, 56, 75, 123, 408, 68, 14, 820, 299, 39, 412, 688, 42, 33, 1, 11, 258, 683, 189, 247, 238, 775, 1309, 337, 236, 1123, 3910, 834, 1607, 1749, 162, 888, 358, 2211, 866, 503, 465, 320, 1302, 626, 305, 283, 506, 131, 671, 1134, 751, 1221, 63, 480, 210, 618, 22, 3480, 592, 1480, 150, 1579, 3724, 391, 2755, 849, 4982, 498, 1570, 3522, 22974, 69083, 22627, 209086, 44437 ]
132
178
[ 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0 ]
[ 0, 2, 10, 11, 21, 31, 32, 43, 55, 69, 77, 125, 146, 178, 205, 239, 268, 276, 325, 370, 390, 431, 473, 533, 607, 612, 661, 705, 823, 894, 951, 968, 1099, 1954, 1965, 2506, 2951, 3594, 3907, 13254, 13347, 13441, 13791, 14543, 14661, 15761, 19315, 28000, 28155, 29254, 29742 ]
3
[ 0, 2, 8, 1, 10, 10, 1, 11, 12, 14, 8, 48, 21, 32, 27, 34, 29, 8, 49, 45, 20, 41, 42, 60, 74, 5, 49, 44, 118, 71, 57, 17, 131, 855, 11, 541, 445, 643, 313, 9347, 93, 94, 350, 752, 118, 1100, 3554, 8685, 155, 1099, 488 ]
51
179
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1 ]
[ 0, 9, 30, 37, 46, 51, 55, 56, 61, 64, 65, 74, 76, 84, 90, 93, 102, 103, 130, 133, 138, 143, 159, 160, 160, 170, 178, 180, 180, 188, 190, 198, 201, 206, 210, 212, 230, 239, 241, 254, 259, 259, 263, 270, 272, 273, 287, 288, 289, 290, 296, 298, 304, 307, 310, 313, 317, 323, 325, 328, 337, 342, 347, 356, 360, 360, 370, 373, 390, 390, 404, 414, 422, 431, 435, 440, 443, 445, 455, 456, 473, 473, 479, 482, 484, 491, 494, 497, 526, 528, 551, 571, 576, 582, 597, 609, 611, 639, 642, 644, 648, 649, 663, 669, 675, 683, 705, 706, 731, 739, 755, 761, 772, 783, 837, 838, 852, 862, 870, 879, 888, 891, 897, 905, 913, 916, 922, 957, 962, 962, 996, 1032, 1053, 1072, 1100, 1161, 1166, 1207, 1234, 1253, 1257, 1289, 1314, 1331, 1377, 1385, 1445, 1465, 1491, 1515, 1532, 1539, 1587, 1733, 1747, 1758, 1771, 1879, 1882, 2058, 2164, 2379, 2470, 2498, 2670, 2729, 2818, 2845, 2916, 2987, 2994, 3038, 3132, 3156, 3236, 3473, 3531, 3560, 3678, 3869, 4131, 4253, 4737, 5291, 6065, 6119, 6296, 6482, 6497, 7670, 8566, 8772, 9000, 9137, 10104, 10148, 11124, 11375, 11652, 13188, 17043, 17641, 18709, 23172, 24069, 40558, 45476, 53471, 53572, 61048, 61485, 77169, 107093, 112207, 150353, 155561, 167648, 271166, 272300, 273770, 277717, 324471, 361416, 503008, 503518 ]
3
[ 0, 9, 21, 7, 9, 5, 4, 1, 5, 3, 1, 9, 2, 8, 6, 3, 9, 1, 27, 3, 5, 5, 16, 1, 0, 10, 8, 2, 0, 8, 2, 8, 3, 5, 4, 2, 18, 9, 2, 13, 5, 0, 4, 7, 2, 1, 14, 1, 1, 1, 6, 2, 6, 3, 3, 3, 4, 6, 2, 3, 9, 5, 5, 9, 4, 0, 10, 3, 17, 0, 14, 10, 8, 9, 4, 5, 3, 2, 10, 1, 17, 0, 6, 3, 2, 7, 3, 3, 29, 2, 23, 20, 5, 6, 15, 12, 2, 28, 3, 2, 4, 1, 14, 6, 6, 8, 22, 1, 25, 8, 16, 6, 11, 11, 54, 1, 14, 10, 8, 9, 9, 3, 6, 8, 8, 3, 6, 35, 5, 0, 34, 36, 21, 19, 28, 61, 5, 41, 27, 19, 4, 32, 25, 17, 46, 8, 60, 20, 26, 24, 17, 7, 48, 146, 14, 11, 13, 108, 3, 176, 106, 215, 91, 28, 172, 59, 89, 27, 71, 71, 7, 44, 94, 24, 80, 237, 58, 29, 118, 191, 262, 122, 484, 554, 774, 54, 177, 186, 15, 1173, 896, 206, 228, 137, 967, 44, 976, 251, 277, 1536, 3855, 598, 1068, 4463, 897, 16489, 4918, 7995, 101, 7476, 437, 15684, 29924, 5114, 38146, 5208, 12087, 103518, 1134, 1470, 3947, 46754, 36945, 141592, 510 ]
225
180
[ 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0 ]
[ 0, 2, 9, 13, 22, 24, 25, 28, 30, 30, 36, 36, 40, 44, 45, 56, 57, 59, 59, 62, 63, 63, 65, 69, 78, 79, 91, 93, 102, 113, 118, 128, 133, 162, 212, 213, 225, 247, 248, 259, 281, 284, 292, 303, 313, 316, 317, 325, 338, 345, 348, 351, 376, 390, 399, 417, 422, 439, 464, 470, 476, 508, 514, 517, 528, 530, 539, 596, 606, 642, 643, 654, 654, 688, 762, 777, 828, 941, 954, 1016, 1040, 1073, 1090, 1111, 1138, 1166, 1266, 1383, 1600, 1942, 2106, 2174, 2319, 2332, 2469, 2582, 2680, 2755, 2769, 2923, 2962, 2996, 3136, 3344, 3537, 3746, 6732, 6741, 7207, 7381, 7973, 8157, 8315, 9575, 9977, 10269, 12026, 16190, 16322, 18110, 19950, 20426, 22755, 23234, 29383, 30039, 34111, 41692, 46737, 47393, 49334, 56009, 70310, 84440, 84464, 84479, 84514, 84566, 84583, 84583, 84596, 84596, 84597, 84597, 84644, 84644, 84648, 84648, 84686, 84763, 84811, 84877, 85012, 85132, 85947, 88307, 88338, 88342, 88347, 88357, 88357, 88365, 88371, 88375, 88381, 88394, 88404, 88419, 88455, 88464, 88469, 88484, 88489, 88520, 88546, 88551, 88556, 88576, 88604, 88610, 88615, 88624, 88633, 88642, 88647, 88656, 88659, 88677, 88685, 88749, 88776, 88801, 88964, 89058, 89164, 89216, 89345, 89358, 89512, 89573, 89787, 89797, 90025, 90569, 90862, 91078, 91455, 91883, 96076, 96233, 128013, 150090, 150147, 154161, 156528, 188546, 188595, 188629, 188892, 189210, 202232, 229691, 233776, 235085, 278275, 295547, 295976, 321208, 344856, 344918, 366257, 375790, 389851, 395075, 409031, 458184, 486100, 508449, 542759, 552131 ]
3
[ 0, 2, 7, 4, 9, 2, 1, 3, 2, 0, 6, 0, 4, 4, 1, 11, 1, 2, 0, 3, 1, 0, 2, 4, 9, 1, 12, 2, 9, 11, 5, 10, 5, 29, 50, 1, 12, 22, 1, 11, 22, 3, 8, 11, 10, 3, 1, 8, 13, 7, 3, 3, 25, 14, 9, 18, 5, 17, 25, 6, 6, 32, 6, 3, 11, 2, 9, 57, 10, 36, 1, 11, 0, 34, 74, 15, 51, 113, 13, 62, 24, 33, 17, 21, 27, 28, 100, 117, 217, 342, 164, 68, 145, 13, 137, 113, 98, 75, 14, 154, 39, 34, 140, 208, 193, 209, 2986, 9, 466, 174, 592, 184, 158, 1260, 402, 292, 1757, 4164, 132, 1788, 1840, 476, 2329, 479, 6149, 656, 4072, 7581, 5045, 656, 1941, 6675, 14301, 14130, 24, 15, 35, 52, 17, 0, 13, 0, 1, 0, 47, 0, 4, 0, 38, 77, 48, 66, 135, 120, 815, 2360, 31, 4, 5, 10, 0, 8, 6, 4, 6, 13, 10, 15, 36, 9, 5, 15, 5, 31, 26, 5, 5, 20, 28, 6, 5, 9, 9, 9, 5, 9, 3, 18, 8, 64, 27, 25, 163, 94, 106, 52, 129, 13, 154, 61, 214, 10, 228, 544, 293, 216, 377, 428, 4193, 157, 31780, 22077, 57, 4014, 2367, 32018, 49, 34, 263, 318, 13022, 27459, 4085, 1309, 43190, 17272, 429, 25232, 23648, 62, 21339, 9533, 14061, 5224, 13956, 49153, 27916, 22349, 34310, 9372 ]
240
181
[ 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1 ]
[ 0, 0, 2, 6, 12, 13, 15, 15, 17, 18, 23, 23, 24, 27, 30, 36, 39, 42, 42, 46, 51, 56, 62, 64, 67, 73, 74, 81, 95, 99, 102, 103, 107, 114, 129, 136, 141, 143, 148, 149, 157, 167, 174, 185, 186, 191, 204, 207, 212, 215, 230, 240, 243, 243, 251, 251, 256, 271, 273, 281, 282, 285, 295, 321, 333, 339, 377, 380, 381, 384, 387, 387, 392, 407, 419, 429, 430, 432, 448, 451, 457, 460, 466, 477, 492, 501, 510, 512, 539, 543, 547, 549, 554, 564, 580, 587, 614, 622, 629, 637, 664, 692, 701, 712, 720, 723, 728, 732, 749, 773, 773, 814, 817, 822, 840, 859, 910, 945, 974, 994, 1025, 1040, 1078, 1099, 1120, 1134, 1236, 1265, 1288, 1309, 1348, 1437, 1450, 1452, 1620, 1694, 1757, 1763, 1765, 1817, 1959, 2054, 2147, 2231, 2241, 2247, 2277, 2278, 2309, 2438, 2478, 3024, 3060, 3110, 3149, 3184, 3191, 3293, 3414, 3443, 3502, 3635, 3718, 3773, 3964, 4001, 4135, 4306, 4328, 4352, 4633, 4743, 4826, 5077, 5424, 5926, 6141, 6488, 7322, 7678, 7958, 8581, 9637, 9773, 10522, 10635, 11408, 11708, 12556, 12669, 13466, 13476, 13853, 15126, 17288, 18977, 23433, 23628, 23658, 25142, 26784, 31081, 31372, 33107, 44470, 53429, 58119, 58582, 67563, 74469, 81185, 93244, 94337, 95774, 100350, 128655, 149954, 170789, 181674, 354428, 366881 ]
3
[ 0, 0, 2, 4, 6, 1, 2, 0, 2, 1, 5, 0, 1, 3, 3, 6, 3, 3, 0, 4, 5, 5, 6, 2, 3, 6, 1, 7, 14, 4, 3, 1, 4, 7, 15, 7, 5, 2, 5, 1, 8, 10, 7, 11, 1, 5, 13, 3, 5, 3, 15, 10, 3, 0, 8, 0, 5, 15, 2, 8, 1, 3, 10, 26, 12, 6, 38, 3, 1, 3, 3, 0, 5, 15, 12, 10, 1, 2, 16, 3, 6, 3, 6, 11, 15, 9, 9, 2, 27, 4, 4, 2, 5, 10, 16, 7, 27, 8, 7, 8, 27, 28, 9, 11, 8, 3, 5, 4, 17, 24, 0, 41, 3, 5, 18, 19, 51, 35, 29, 20, 31, 15, 38, 21, 21, 14, 102, 29, 23, 21, 39, 89, 13, 2, 168, 74, 63, 6, 2, 52, 142, 95, 93, 84, 10, 6, 30, 1, 31, 129, 40, 546, 36, 50, 39, 35, 7, 102, 121, 29, 59, 133, 83, 55, 191, 37, 134, 171, 22, 24, 281, 110, 83, 251, 347, 502, 215, 347, 834, 356, 280, 623, 1056, 136, 749, 113, 773, 300, 848, 113, 797, 10, 377, 1273, 2162, 1689, 4456, 195, 30, 1484, 1642, 4297, 291, 1735, 11363, 8959, 4690, 463, 8981, 6906, 6716, 12059, 1093, 1437, 4576, 28305, 21299, 20835, 10885, 172754, 12453 ]
221
182
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0 ]
[ 0, 25, 49, 81, 159, 161, 190, 316, 454, 456, 579, 691, 1148, 1751, 3230, 6254, 7774, 8355, 9428, 9557, 10916, 13196, 21075, 26403, 33734, 39745, 39826, 39934, 39951, 40111, 40123, 40278, 40350, 40460, 40475, 40587, 40589, 40977, 41415, 41617, 41712, 41737, 41881, 42086, 43217, 53052, 59052, 59412, 60007, 97517, 151943, 152323, 157217, 174462, 178172, 228953, 229788, 238728, 291004, 301459, 309021, 354269, 361168, 378869, 387765, 526210, 548507 ]
3
[ 0, 25, 24, 32, 78, 2, 29, 126, 138, 2, 123, 112, 457, 603, 1479, 3024, 1520, 581, 1073, 129, 1359, 2280, 7879, 5328, 7331, 6011, 81, 108, 17, 160, 12, 155, 72, 110, 15, 112, 2, 388, 438, 202, 95, 25, 144, 205, 1131, 9835, 6000, 360, 595, 37510, 54426, 380, 4894, 17245, 3710, 50781, 835, 8940, 52276, 10455, 7562, 45248, 6899, 17701, 8896, 138445, 22297 ]
67
183
[ 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
[ 0, 54, 58, 71, 73, 79, 286, 364, 454, 782, 804, 905, 964, 1127, 1208, 1328, 1935, 2022, 2026, 2046, 2051, 2064, 2205, 2237, 2296, 2348, 2357, 2361, 2414, 2511, 2537, 2586, 2746, 2969, 3056, 3241, 3680, 3726, 4258, 4447, 4554, 5752, 6722, 7218, 7351, 7395, 7964, 7991, 8450, 9578, 9705, 9978, 10182, 10221, 10548, 11559, 12105, 14408, 17603, 20948, 32762, 35389, 35759, 36800, 38526, 57366, 58847, 58913, 66855, 90324, 95464, 166765, 167127, 167803, 168073, 198602, 209761, 327909, 347949, 348436, 374234, 418197 ]
3
[ 0, 54, 4, 13, 2, 6, 207, 78, 90, 328, 22, 101, 59, 163, 81, 120, 607, 87, 4, 20, 5, 13, 141, 32, 59, 52, 9, 4, 53, 97, 26, 49, 160, 223, 87, 185, 439, 46, 532, 189, 107, 1198, 970, 496, 133, 44, 569, 27, 459, 1128, 127, 273, 204, 39, 327, 1011, 546, 2303, 3195, 3345, 11814, 2627, 370, 1041, 1726, 18840, 1481, 66, 7942, 23469, 5140, 71301, 362, 676, 270, 30529, 11159, 118148, 20040, 487, 25798, 43963 ]
82
184
[ 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 109, 141, 156, 294, 383, 1139, 1252, 1448, 1931, 2124, 2290, 2290, 2308, 2308, 3111, 3285, 3744, 5089, 5155, 5215, 5369, 5565, 5630, 6199, 6286, 7006, 7273, 7786, 7942, 9119, 10299, 11710, 12566, 13324, 13430, 13561, 13671, 14301, 14669, 16006, 18361, 18925, 19217, 19242, 24520, 31869, 34606, 34976, 38009, 48523, 64319, 150099 ]
3
[ 0, 109, 32, 15, 138, 89, 756, 113, 196, 483, 193, 166, 0, 18, 0, 803, 174, 459, 1345, 66, 60, 154, 196, 65, 569, 87, 720, 267, 513, 156, 1177, 1180, 1411, 856, 758, 106, 131, 110, 630, 368, 1337, 2355, 564, 292, 25, 5278, 7349, 2737, 370, 3033, 10514, 15796, 85780 ]
53
185
[ 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0 ]
[ 0, 105, 106, 135, 201, 306, 441, 591, 628, 679, 702, 736, 860, 884, 1006, 1012, 1015, 1034, 1066, 1610, 1773, 2104, 2629, 2742, 2775, 2907, 3182, 3239, 3248, 3639, 3840, 3843, 3986, 4137, 4281, 4342, 5038, 5178, 5197, 5212, 5253, 5432, 5457, 6151, 6987, 7372, 7846, 8802, 8921, 9230, 10289, 10697, 11409, 12176, 13109, 14351, 17230, 18464, 20083, 20249, 20358, 21626, 21983, 28599, 125064, 267369 ]
3
[ 0, 105, 1, 29, 66, 105, 135, 150, 37, 51, 23, 34, 124, 24, 122, 6, 3, 19, 32, 544, 163, 331, 525, 113, 33, 132, 275, 57, 9, 391, 201, 3, 143, 151, 144, 61, 696, 140, 19, 15, 41, 179, 25, 694, 836, 385, 474, 956, 119, 309, 1059, 408, 712, 767, 933, 1242, 2879, 1234, 1619, 166, 109, 1268, 357, 6616, 96465, 142305 ]
66
186
[ 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
[ 0, 22, 112, 151, 327, 1468, 12371, 15690, 17212, 17409, 18934, 21189, 21921, 22792, 22794, 25573, 27857, 28001, 28019, 29019, 29174, 29669, 30773, 31038, 31641, 32424, 33219, 33295, 33459, 33487, 33548, 33715, 33898, 33919, 34970, 35014, 35264, 35298, 35399, 35791, 36649, 37585, 37829, 38109, 40048, 41619, 42528, 42690, 44046, 45548, 45994, 48046, 49303, 49485, 50361, 50962, 51181, 61504, 63389, 68232, 68636, 107701, 114068, 118811, 121155, 126160, 126394, 130231, 132937, 141193, 210033, 211481, 323730, 336463, 392122, 397447 ]
3
[ 0, 22, 90, 39, 176, 1141, 10903, 3319, 1522, 197, 1525, 2255, 732, 871, 2, 2779, 2284, 144, 18, 1000, 155, 495, 1104, 265, 603, 783, 795, 76, 164, 28, 61, 167, 183, 21, 1051, 44, 250, 34, 101, 392, 858, 936, 244, 280, 1939, 1571, 909, 162, 1356, 1502, 446, 2052, 1257, 182, 876, 601, 219, 10323, 1885, 4843, 404, 39065, 6367, 4743, 2344, 5005, 234, 3837, 2706, 8256, 68840, 1448, 112249, 12733, 55659, 5325 ]
76
187
[ 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 ]
[ 0, 44, 44, 58, 60, 67, 68, 69, 84, 91, 99, 107, 115, 118, 121, 122, 124, 145, 147, 151, 169, 169, 179, 286, 295, 309, 316, 321, 337, 371, 395, 413, 447, 469, 510, 534, 542, 567, 593, 615, 625, 631, 684, 690, 772, 854, 946, 1009, 1339, 1341, 1449, 1763, 1849, 2044, 3076, 6249, 7332 ]
3
[ 0, 44, 0, 14, 2, 7, 1, 1, 15, 7, 8, 8, 8, 3, 3, 1, 2, 21, 2, 4, 18, 0, 10, 107, 9, 14, 7, 5, 16, 34, 24, 18, 34, 22, 41, 24, 8, 25, 26, 22, 10, 6, 53, 6, 82, 82, 92, 63, 330, 2, 108, 314, 86, 195, 1032, 3173, 1083 ]
57
188
[ 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 18, 24, 35, 35, 37, 52, 53, 55, 118, 144, 174, 197, 230, 241, 262, 271, 342, 372, 375, 380, 381, 393, 408, 422, 435, 449, 452, 615, 628, 671, 679, 838, 854, 899, 916, 925, 1020, 1063, 1239, 1278, 1328, 1339, 1485, 1513, 1620, 1681, 2036, 2186, 2306, 2380, 2535, 2662, 2932, 3135, 3562, 3887, 4239, 4643, 6137, 7140, 7401, 7401, 7520, 7573, 8019, 8025, 8049, 8448, 8660, 9015, 9144, 9769, 10002, 10183, 10187, 12484, 13339, 14169, 16815, 16837, 19265, 20025, 24044, 25000, 29222, 29979, 31436, 33027, 33608, 34142, 35907, 35915, 38703, 39761, 40976, 43280, 49358, 61056, 61653, 186403, 399286 ]
3
[ 0, 18, 6, 11, 0, 2, 15, 1, 2, 63, 26, 30, 23, 33, 11, 21, 9, 71, 30, 3, 5, 1, 12, 15, 14, 13, 14, 3, 163, 13, 43, 8, 159, 16, 45, 17, 9, 95, 43, 176, 39, 50, 11, 146, 28, 107, 61, 355, 150, 120, 74, 155, 127, 270, 203, 427, 325, 352, 404, 1494, 1003, 261, 0, 119, 53, 446, 6, 24, 399, 212, 355, 129, 625, 233, 181, 4, 2297, 855, 830, 2646, 22, 2428, 760, 4019, 956, 4222, 757, 1457, 1591, 581, 534, 1765, 8, 2788, 1058, 1215, 2304, 6078, 11698, 597, 124750, 212883 ]
102
189
[ 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1 ]
[ 0, 4, 15, 29, 44, 54, 72, 84, 88, 110, 116, 172, 196, 201, 201, 221, 260, 267, 272, 318, 344, 366, 484, 524, 537, 569, 671, 699, 733, 773, 828, 933, 1368, 1575, 1714, 1799, 2325, 2614, 2889, 2938, 3132, 3963, 5002, 6374, 7560, 8702, 11498, 13140, 19058, 21195, 25769, 38319, 46314, 49374, 53035 ]
3
[ 0, 4, 11, 14, 15, 10, 18, 12, 4, 22, 6, 56, 24, 5, 0, 20, 39, 7, 5, 46, 26, 22, 118, 40, 13, 32, 102, 28, 34, 40, 55, 105, 435, 207, 139, 85, 526, 289, 275, 49, 194, 831, 1039, 1372, 1186, 1142, 2796, 1642, 5918, 2137, 4574, 12550, 7995, 3060, 3661 ]
55
190
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 2, 13, 18, 21, 29, 33, 39, 42, 44, 44, 48, 48, 52, 60, 62, 67, 71, 82, 106, 111, 116, 128, 160, 160, 162, 169, 186, 198, 210, 222, 223, 247, 279, 306, 321, 356, 357, 374, 400, 420, 421, 461, 463, 477, 523, 558, 571, 621, 622, 644, 648, 653, 747, 752, 802, 832, 882, 884, 885, 936, 1013, 1132, 1171, 1181, 1220, 1231, 1235, 1264, 1311, 1321, 1336, 1341, 1352, 1395, 1409, 1441, 1544, 1753, 1786, 1795, 1991, 2262, 2477, 2669, 2689, 2714, 2779, 2840, 2870, 3223, 3261, 3403, 3594, 3740, 3865, 3956, 3957, 4098, 4321, 4323, 4749, 5046, 5276, 5531, 5651, 5768, 5769, 5835, 5915, 5920, 5928, 6551, 7115, 7195, 7830, 8489, 9134, 9844, 10728, 11161, 12150, 13440, 13719, 16138, 25132, 27723, 28544, 39010, 64224, 95738, 129808 ]
3
[ 0, 2, 11, 5, 3, 8, 4, 6, 3, 2, 0, 4, 0, 4, 8, 2, 5, 4, 11, 24, 5, 5, 12, 32, 0, 2, 7, 17, 12, 12, 12, 1, 24, 32, 27, 15, 35, 1, 17, 26, 20, 1, 40, 2, 14, 46, 35, 13, 50, 1, 22, 4, 5, 94, 5, 50, 30, 50, 2, 1, 51, 77, 119, 39, 10, 39, 11, 4, 29, 47, 10, 15, 5, 11, 43, 14, 32, 103, 209, 33, 9, 196, 271, 215, 192, 20, 25, 65, 61, 30, 353, 38, 142, 191, 146, 125, 91, 1, 141, 223, 2, 426, 297, 230, 255, 120, 117, 1, 66, 80, 5, 8, 623, 564, 80, 635, 659, 645, 710, 884, 433, 989, 1290, 279, 2419, 8994, 2591, 821, 10466, 25214, 31514, 34070 ]
132
191
[ 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2 ]
[ 0, 10, 12, 12, 15, 16, 17, 19, 23, 23, 27, 29, 31, 34, 35, 36, 36, 38, 39, 41, 43, 43, 46, 47, 48, 50, 50, 52, 52, 57, 65, 66, 69, 69, 69, 70, 73, 80, 81, 83, 90, 90, 93, 93, 97, 101, 104, 106, 108, 114, 116, 118, 119, 121, 125, 126, 128, 128, 128, 129, 130, 133, 137, 140, 143, 145, 155, 158, 159, 179, 187, 188, 201, 206, 210, 215, 225, 228, 245, 249, 279, 291, 293, 304, 314, 323, 330, 342, 355, 368, 372, 377, 378, 399, 419, 455, 471, 492, 503, 570, 582, 607, 615, 636, 656, 677, 680, 719, 748, 797, 817, 925, 985, 1011, 1030, 1078, 1103, 1111, 1269, 1518, 1660, 1818, 2257, 2759, 3227, 3719, 4472, 4876, 4947, 5427, 5476, 5496, 6973, 7873, 8165, 8401, 8462, 9414, 9769, 10223, 11552, 13266, 13823, 17356, 20178, 20778, 22090, 22951, 25599, 27003, 35962, 36161, 36821, 41121, 55836, 57521, 61964, 63021, 70243, 74150, 75816, 77190, 82997, 89155, 92658, 101888, 108619, 117297, 119549, 134276, 156641, 160363, 184631, 220368, 223933, 223933, 231188, 279798, 435894, 456615 ]
3
[ 0, 10, 2, 0, 3, 1, 1, 2, 4, 0, 4, 2, 2, 3, 1, 1, 0, 2, 1, 2, 2, 0, 3, 1, 1, 2, 0, 2, 0, 5, 8, 1, 3, 0, 0, 1, 3, 7, 1, 2, 7, 0, 3, 0, 4, 4, 3, 2, 2, 6, 2, 2, 1, 2, 4, 1, 2, 0, 0, 1, 1, 3, 4, 3, 3, 2, 10, 3, 1, 20, 8, 1, 13, 5, 4, 5, 10, 3, 17, 4, 30, 12, 2, 11, 10, 9, 7, 12, 13, 13, 4, 5, 1, 21, 20, 36, 16, 21, 11, 67, 12, 25, 8, 21, 20, 21, 3, 39, 29, 49, 20, 108, 60, 26, 19, 48, 25, 8, 158, 249, 142, 158, 439, 502, 468, 492, 753, 404, 71, 480, 49, 20, 1477, 900, 292, 236, 61, 952, 355, 454, 1329, 1714, 557, 3533, 2822, 600, 1312, 861, 2648, 1404, 8959, 199, 660, 4300, 14715, 1685, 4443, 1057, 7222, 3907, 1666, 1374, 5807, 6158, 3503, 9230, 6731, 8678, 2252, 14727, 22365, 3722, 24268, 35737, 3565, 0, 7255, 48610, 156096, 20721 ]
180
192
[ 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1 ]
[ 0, 5, 9, 17, 22, 25, 31, 36, 40, 41, 42, 47, 50, 58, 59, 78, 81, 105, 108, 112, 129, 129, 140, 141, 142, 142, 149, 161, 190, 227, 234, 252, 343, 348, 406, 426, 431, 442, 447, 448, 466, 477, 515, 548, 613, 624, 669, 691, 805, 901, 960, 1038, 1168, 1209, 1279, 1290, 1309, 1370, 1452, 1464, 1641, 1847, 1944, 1977, 2027, 2046, 2138, 2237, 2238, 2265, 2720, 2785, 3920, 4035, 4242, 4715, 4929, 5043, 5213, 5288, 5315, 5907, 7027, 8318, 8555, 8777, 9907, 9948, 9963, 10203, 11840, 12839, 12880, 12882, 12886, 12891, 12911, 12920, 12926, 12960, 12961, 13028, 13046, 13088, 13180, 13435, 13566, 13637, 13755, 13904, 14618, 15227, 16457, 16514, 16647, 24890, 27444, 29934, 33554, 35295, 38496, 43662, 43790, 81297, 83078, 83361, 169816, 177145, 366897, 426920 ]
3
[ 0, 5, 4, 8, 5, 3, 6, 5, 4, 1, 1, 5, 3, 8, 1, 19, 3, 24, 3, 4, 17, 0, 11, 1, 1, 0, 7, 12, 29, 37, 7, 18, 91, 5, 58, 20, 5, 11, 5, 1, 18, 11, 38, 33, 65, 11, 45, 22, 114, 96, 59, 78, 130, 41, 70, 11, 19, 61, 82, 12, 177, 206, 97, 33, 50, 19, 92, 99, 1, 27, 455, 65, 1135, 115, 207, 473, 214, 114, 170, 75, 27, 592, 1120, 1291, 237, 222, 1130, 41, 15, 240, 1637, 999, 41, 2, 4, 5, 20, 9, 6, 34, 1, 67, 18, 42, 92, 255, 131, 71, 118, 149, 714, 609, 1230, 57, 133, 8243, 2554, 2490, 3620, 1741, 3201, 5166, 128, 37507, 1781, 283, 86455, 7329, 189752, 60023 ]
130
193
[ 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1 ]
[ 0, 2, 7, 7, 9, 11, 12, 14, 18, 19, 21, 22, 22, 23, 25, 25, 25, 30, 31, 34, 34, 36, 36, 36, 38, 39, 39, 40, 40, 41, 46, 47, 50, 51, 53, 54, 54, 58, 60, 67, 69, 75, 76, 82, 83, 85, 92, 96, 96, 104, 105, 105, 106, 107, 108, 112, 113, 119, 120, 120, 122, 122, 126, 134, 139, 141, 144, 145, 148, 158, 162, 163, 167, 167, 169, 171, 185, 189, 189, 191, 195, 204, 208, 213, 214, 217, 222, 224, 227, 228, 239, 242, 249, 256, 262, 268, 273, 279, 287, 291, 291, 332, 347, 370, 371, 371, 373, 375, 402, 405, 430, 448, 453, 469, 496, 560, 577, 627, 632, 647, 708, 708, 719, 724, 817, 847, 881, 893, 935, 940, 978, 1085, 1185, 1199, 1277, 1382, 1416, 1442, 1521, 1593, 1651, 1706, 1789, 1802, 2050, 2259, 2265, 2339, 2385, 2512, 2715, 2883, 3259, 3487, 3776, 3888, 3917, 4531, 4671, 4674, 5376, 5756, 5984, 7140, 7637, 8317, 8398, 8597, 8662, 8879, 9623, 9779, 10275, 10555, 10677, 11181, 12441, 14157, 14688, 32566, 47887, 74717, 77426, 85599, 107100, 108813, 133613, 173836, 336159, 489479 ]
3
[ 0, 2, 5, 0, 2, 2, 1, 2, 4, 1, 2, 1, 0, 1, 2, 0, 0, 5, 1, 3, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 5, 1, 3, 1, 2, 1, 0, 4, 2, 7, 2, 6, 1, 6, 1, 2, 7, 4, 0, 8, 1, 0, 1, 1, 1, 4, 1, 6, 1, 0, 2, 0, 4, 8, 5, 2, 3, 1, 3, 10, 4, 1, 4, 0, 2, 2, 14, 4, 0, 2, 4, 9, 4, 5, 1, 3, 5, 2, 3, 1, 11, 3, 7, 7, 6, 6, 5, 6, 8, 4, 0, 41, 15, 23, 1, 0, 2, 2, 27, 3, 25, 18, 5, 16, 27, 64, 17, 50, 5, 15, 61, 0, 11, 5, 93, 30, 34, 12, 42, 5, 38, 107, 100, 14, 78, 105, 34, 26, 79, 72, 58, 55, 83, 13, 248, 209, 6, 74, 46, 127, 203, 168, 376, 228, 289, 112, 29, 614, 140, 3, 702, 380, 228, 1156, 497, 680, 81, 199, 65, 217, 744, 156, 496, 280, 122, 504, 1260, 1716, 531, 17878, 15321, 26830, 2709, 8173, 21501, 1713, 24800, 40223, 162323, 153320 ]
190
194
[ 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15, 21, 30, 35, 40, 45, 48, 49, 56, 72, 80, 94, 101, 104, 112, 116, 127, 134, 136, 147, 152, 170, 247, 315, 316, 323, 336, 345, 350, 370, 374, 467, 504, 522, 669, 741, 798, 844, 1053, 1066, 1081, 1082, 1082, 1139, 1419, 1490, 1800, 1816, 2041, 2305, 2538, 3140, 3344, 3656, 3861, 6153, 6187, 6465, 6702, 6745, 7436, 7703, 8055, 9732, 13101, 13116, 15268, 24455, 46946, 47163, 47210, 47342, 47438, 47516, 47698, 48804, 63210, 65971, 67573, 92734, 92901, 92901, 164674, 165747, 166118, 166284, 168210, 168275, 168297, 168346, 168448, 168539, 171110, 182656, 309594, 309663, 311052, 371236, 371404, 386650, 392097, 441570, 556096, 604308 ]
3
[ 0, 15, 6, 9, 5, 5, 5, 3, 1, 7, 16, 8, 14, 7, 3, 8, 4, 11, 7, 2, 11, 5, 18, 77, 68, 1, 7, 13, 9, 5, 20, 4, 93, 37, 18, 147, 72, 57, 46, 209, 13, 15, 1, 0, 57, 280, 71, 310, 16, 225, 264, 233, 602, 204, 312, 205, 2292, 34, 278, 237, 43, 691, 267, 352, 1677, 3369, 15, 2152, 9187, 22491, 217, 47, 132, 96, 78, 182, 1106, 14406, 2761, 1602, 25161, 167, 0, 71773, 1073, 371, 166, 1926, 65, 22, 49, 102, 91, 2571, 11546, 126938, 69, 1389, 60184, 168, 15246, 5447, 49473, 114526, 48212 ]
105
195
[ 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1 ]
[ 0, 12, 29, 38, 106, 134, 170, 235, 270, 299, 311, 329, 334, 355, 380, 381, 392, 415, 418, 489, 501, 525, 558, 613, 718, 742, 784, 790, 877, 901, 957, 975, 989, 994, 1042, 1200, 1366, 1428, 1504, 1581, 1870, 2027, 2113, 2247, 2341, 2529, 2537, 2587, 2650, 2915, 2955, 3019, 4024, 4168, 4408, 4548, 4612, 4843, 5664, 5782, 5822, 6118, 6202, 6954, 7172 ]
3
[ 0, 12, 17, 9, 68, 28, 36, 65, 35, 29, 12, 18, 5, 21, 25, 1, 11, 23, 3, 71, 12, 24, 33, 55, 105, 24, 42, 6, 87, 24, 56, 18, 14, 5, 48, 158, 166, 62, 76, 77, 289, 157, 86, 134, 94, 188, 8, 50, 63, 265, 40, 64, 1005, 144, 240, 140, 64, 231, 821, 118, 40, 296, 84, 752, 218 ]
65
196
[ 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 7, 22, 22, 30, 41, 42, 55, 64, 78, 140, 155, 173, 179, 192, 198, 216, 283, 294, 411, 434, 455, 478, 485, 495, 506, 514, 520, 620, 630, 672, 869, 892, 908, 968, 1186, 1252, 1309, 1380, 1392, 1586, 1882, 2065, 2097, 2375, 3460, 3512, 3901, 4584, 5126, 6444, 7065, 7838, 8943, 9372, 10120, 10490, 12104, 13630, 17060, 18608, 19952, 22002, 22383, 23540, 29102, 32867, 35874, 36275, 36333, 37080, 48036, 48280, 50924, 54178, 54493, 54566, 57335, 64389, 66628, 74876, 75278, 79946, 80833, 92031, 171729, 312414, 340386 ]
3
[ 0, 7, 15, 0, 8, 11, 1, 13, 9, 14, 62, 15, 18, 6, 13, 6, 18, 67, 11, 117, 23, 21, 23, 7, 10, 11, 8, 6, 100, 10, 42, 197, 23, 16, 60, 218, 66, 57, 71, 12, 194, 296, 183, 32, 278, 1085, 52, 389, 683, 542, 1318, 621, 773, 1105, 429, 748, 370, 1614, 1526, 3430, 1548, 1344, 2050, 381, 1157, 5562, 3765, 3007, 401, 58, 747, 10956, 244, 2644, 3254, 315, 73, 2769, 7054, 2239, 8248, 402, 4668, 887, 11198, 79698, 140685, 27972 ]
88
197
[ 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1 ]
[ 0, 5, 12, 13, 14, 15, 19, 20, 23, 25, 25, 27, 27, 30, 31, 34, 36, 37, 37, 37, 39, 39, 41, 45, 46, 47, 48, 50, 53, 53, 56, 62, 69, 69, 70, 74, 75, 81, 82, 83, 84, 92, 97, 101, 103, 104, 105, 107, 108, 111, 112, 114, 114, 115, 116, 125, 127, 128, 146, 147, 156, 171, 176, 179, 197, 214, 219, 235, 237, 241, 252, 292, 325, 342, 361, 385, 544, 628, 722, 863, 1257, 2347, 2758, 2881, 3998, 11765, 17630, 20952, 65225, 73884, 75215, 81039 ]
3
[ 0, 5, 7, 1, 1, 1, 4, 1, 3, 2, 0, 2, 0, 3, 1, 3, 2, 1, 0, 0, 2, 0, 2, 4, 1, 1, 1, 2, 3, 0, 3, 6, 7, 0, 1, 4, 1, 6, 1, 1, 1, 8, 5, 4, 2, 1, 1, 2, 1, 3, 1, 2, 0, 1, 1, 9, 2, 1, 18, 1, 9, 15, 5, 3, 18, 17, 5, 16, 2, 4, 11, 40, 33, 17, 19, 24, 159, 84, 94, 141, 394, 1090, 411, 123, 1117, 7767, 5865, 3322, 44273, 8659, 1331, 5824 ]
92
198
[ 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1 ]
[ 0, 4, 5, 8, 10, 18, 19, 19, 22, 23, 23, 24, 26, 26, 27, 27, 31, 31, 35, 37, 45, 46, 46, 47, 48, 53, 54, 69, 73, 76, 76, 106, 111, 113, 122, 126, 159, 177, 186, 202, 210, 218, 262, 265, 290, 308, 323, 478, 552, 613, 630, 734, 783, 910, 1203, 1568, 1600, 1940, 2628, 6243, 6615, 7819, 7934, 8150, 8764, 8786, 10037, 11371 ]
3
[ 0, 4, 1, 3, 2, 8, 1, 0, 3, 1, 0, 1, 2, 0, 1, 0, 4, 0, 4, 2, 8, 1, 0, 1, 1, 5, 1, 15, 4, 3, 0, 30, 5, 2, 9, 4, 33, 18, 9, 16, 8, 8, 44, 3, 25, 18, 15, 155, 74, 61, 17, 104, 49, 127, 293, 365, 32, 340, 688, 3615, 372, 1204, 115, 216, 614, 22, 1251, 1334 ]
68
199
[ 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0 ]