Datasets:
SmallDoge
/
decay_dataset

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
6
2.05k
attention_mask
listlengths
6
2.05k
[ 0, 9223, 281, 15272, 281, 1215, 547, 3247, 3054, 689, 586, 2454, 693, 707, 3237, 269, 10576, 519, 2010, 540, 4555, 602, 1118, 596, 6336, 707, 2191, 269, 2755, 10845, 568, 1419, 15427, 676, 5007, 2188, 899, 519, 1919, 602, 1004, 2161, 610, 798, 1472, 596, 267, 596, 723, 519, 2702, 547, 1852, 875, 596, 4431, 269, 9796, 3007, 547, 519, 2010, 540, 1919, 602, 1118, 596, 14220, 543, 2119, 547, 2057, 3850, 3054, 547, 1445, 593, 1346, 1919, 269, 3097, 271, 269, 1496, 11357, 25074, 316, 5213, 1405, 1577, 3054, 936, 2102, 1968, 1125, 1919, 269, 5502, 540, 3206, 1945, 899, 267, 834, 789, 2760, 6432, 834, 1445, 593, 1018, 568, 2469, 593, 1318, 1631, 563, 272, 269, 1452, 2010, 540, 2219, 3270, 1118, 621, 2352, 547, 3247, 3054, 689, 32232, 2433, 1496, 11357, 25074, 316, 4911, 518, 269, 4911, 518, 814, 1044, 3254, 547, 28596, 4664, 899, 1928, 563, 273, 269, 5269, 513, 1592, 540, 519, 1919, 596, 616, 536, 6139, 1042, 827, 22086, 267, 2123, 2152, 267, 3347, 267, 543, 865, 593, 269, 1496, 11357, 25074, 316, 10576, 875, 1419, 596, 1294, 610, 5873, 10385, 531, 610, 2942, 8292, 563, 274, 269, 1496, 11357, 25074, 316, 769, 4049, 2665, 267, 707, 10845, 949, 26882, 856, 540, 1852, 269, 1411, 3513, 1745, 10413, 610, 20729, 539, 676, 1346, 4555, 543, 5924, 2623, 563, 12585, 281, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 634, 1648, 540, 1018, 568, 6027, 676, 519, 6762, 614, 9588, 4336, 888, 12585, 281, 32495, 1389, 454, 2704, 328, 1162, 281, 1530, 1143, 267, 32495, 820, 267, 1530, 1143, 545, 2680, 267, 634, 5686, 540, 16767, 267, 1530, 1143, 1227, 3742, 267, 8899, 2173, 1725, 3363, 13091, 267, 3047, 12152, 528, 267, 15486, 540, 16767, 267, 1530, 1143, 545, 3350, 267, 3047, 844, 1389, 267, 2423, 2195, 327, 820, 267, 1530, 1143, 545, 2534, 267, 2372, 820, 9604, 267, 1530, 1143, 30008, 267, 13127, 506, 364, 421, 506, 485, 267, 3047, 844, 820, 267, 6301, 8710, 267, 13505, 2360, 630, 24160, 638, 820, 1070, 32495, 1389, 267, 17726, 329, 2794, 267, 570, 624, 4577, 13091 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15900, 19974, 7731, 4065, 454, 15900, 19974, 7731, 4065, 630, 4488, 25539, 264, 568, 513, 8235, 6807, 9351, 3427, 10588, 7991, 4065, 1982, 602, 18791, 3885, 609, 1762, 1453, 998, 2069, 543, 1489, 269, 10566, 25539, 2488, 2385, 30512, 5872, 2238, 543, 2385, 2069, 585, 3885, 609, 1453, 4332, 268, 276, 563, 15253, 7859, 540, 4107, 10566, 25539, 26643, 454, 31995, 8625, 910, 1280, 1411, 543, 2659, 4132, 454, 295, 2788, 540, 1142, 1362, 568, 13991, 547, 2238, 9709, 676, 513, 13931, 2038, 6689, 4116, 585, 3237, 543, 1453, 547, 2263, 1927, 269, 8625, 596, 666, 2972, 1565, 998, 1148, 267, 2575, 267, 2984, 543, 513, 3099, 540, 11095, 2238, 269, 898, 568, 606, 4316, 547, 1451, 1007, 2093, 267, 3756, 543, 2238, 602, 596, 666, 798, 693, 1753, 563, 31995, 1473, 2570, 1836, 910, 1280, 2659, 4132, 454, 763, 6967, 6712, 540, 1142, 1362, 568, 585, 1453, 547, 723, 1187, 1565, 998, 1404, 1210, 1148, 267, 3350, 267, 3756, 543, 2984, 609, 519, 13931, 2038, 6689, 4116, 267, 519, 4928, 13930, 543, 519, 824, 1453, 269, 1715, 17052, 616, 4646, 543, 1453, 3605, 3344, 540, 968, 1889, 892, 1247, 789, 1451, 6306, 689, 596, 269, 634, 3804, 540, 519, 1453, 779, 1982, 568, 547, 1020, 513, 2635, 1582, 8410, 1061, 543, 513, 7772, 540, 1565, 563, 31995, 4762, 1211, 569, 1107, 1280, 1411, 454, 4407, 1453, 1491, 851, 538, 519, 1453, 779, 1982, 267, 3237, 6443, 609, 824, 3237, 538, 606, 13016, 1895, 4259, 585, 4901, 942, 3366, 676, 513, 13931, 2385, 19829, 269, 9861, 513, 2385, 568, 11791, 267, 1950, 267, 543, 693, 2053, 267, 17173, 269, 14268, 723, 519, 4316, 547, 3442, 543, 1865, 1699, 1920, 3584, 267, 2671, 2093, 543, 4145, 543, 1745, 9415, 676, 519, 1489, 540, 1866, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 1733, 846, 18137, 891, 616, 594, 1589, 594, 917, 269, 3571, 2777, 568, 538, 519, 8498, 267, 1498, 282, 1261, 786, 711, 1294, 803, 16069, 1934, 1677, 4585, 1010, 18137, 6445, 909, 609, 6777, 269, 3733, 2370, 7504, 1590, 1589, 621, 20210, 1677, 3247, 1510, 513, 3484, 5264, 2282, 9737, 519, 18137, 543, 13792, 10720, 634, 4158, 652, 10543, 540, 519, 1032, 269, 1261, 3947, 1010, 10244, 30518, 513, 21199, 1677, 2307, 952, 972, 568, 930, 12161, 269, 634, 1152, 824, 3280, 781, 519, 30908, 2986, 2653, 2842, 543, 1524, 344, 1166, 820, 269, 634, 18137, 616, 17681, 267, 4158, 543, 2620, 267, 1809, 594, 723, 14767, 547, 1832, 267, 1656, 5195, 547, 979, 1354, 594, 3207, 267, 1656, 5195, 547, 979, 1354, 594, 3207, 269, 1548, 2186, 540, 2376, 1281, 713, 8574, 4866, 547, 888, 271, 269, 589, 1650, 563, 272, 269, 589, 6648, 563, 273, 269, 1323, 29275, 563, 274, 269, 589, 1867, 563, 12585, 281, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18893, 923, 281, 1548, 568, 519, 2495, 540, 519, 16494, 851, 540, 519, 1950, 3448, 11863, 339, 2032, 888, 763, 1950, 11863, 339, 2032, 4564, 519, 2078, 1063, 519, 3167, 543, 6419, 4610, 538, 513, 1570, 269, 634, 16494, 851, 568, 2047, 1644, 547, 519, 5706, 2032, 267, 1247, 519, 1483, 851, 6645, 596, 2436, 519, 1570, 814, 513, 3692, 5511, 610, 31602, 9804, 3210, 269, 634, 5223, 1063, 519, 1079, 14687, 547, 519, 5123, 18848, 1063, 3167, 543, 6419, 4610, 563, 5804, 2549, 335, 699, 781, 4521, 649, 723, 2676, 10112, 11167, 942, 3620, 1301, 4577, 4610, 971, 602, 31377, 2171, 666, 1631, 2769, 519, 1950, 11863, 339, 2032, 607, 2676, 3383, 972, 781, 513, 1463, 2078, 1063, 519, 19428, 540, 513, 1570, 543, 519, 16494, 851, 540, 519, 11863, 339, 2032, 563, 21982, 713, 835, 1900, 2417, 267, 649, 666, 1294, 602, 972, 781, 513, 5123, 18848, 1063, 519, 3167, 543, 6419, 4610, 2016, 676, 1547, 1879, 519, 1483, 851, 568, 2318, 267, 519, 5123, 6521, 568, 2318, 543, 519, 1570, 568, 1767, 547, 723, 606, 11371, 1231, 1227, 3692, 5511, 630, 9690, 5012, 6453, 264, 9804, 3210, 269, 1879, 519, 1483, 851, 568, 2942, 267, 519, 5123, 6521, 1063, 3167, 543, 6419, 4610, 568, 2942, 543, 519, 1570, 568, 1767, 547, 723, 606, 31602, 630, 14179, 5653, 5012, 1699, 264, 9804, 3210, 269, 4635, 519, 1482, 21658, 267, 649, 666, 2161, 602, 950, 519, 16494, 851, 568, 13113, 267, 519, 1570, 814, 513, 5706, 633, 9804, 3210, 454, 28775, 621, 786, 948, 596, 726, 338, 1665, 621, 607, 513, 2634, 4289, 2626, 454, 514, 1931, 547, 3489, 9136, 689, 536, 560, 538, 1875, 2987, 920, 2084, 1931, 267, 513, 8390, 540, 538, 4650, 21986, 531, 949, 581, 1031, 1141, 538, 4650, 21986, 531, 568, 20328, 269, 840, 4650, 21986, 531, 281, 840, 4650, 21986, 531, 786, 1711, 513, 5299, 540, 519, 3529, 269, 840, 4650, 21986, 531, 568, 849, 1031, 547, 1205, 519, 18772, 4082, 540, 606, 4082, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 513, 14297, 4884, 1572, 15750, 6807, 267, 5030, 1079, 1655, 2828, 3957, 7665, 519, 31040, 543, 30751, 519, 667, 20462, 514, 269, 1358, 941, 1312, 1357, 9858, 945, 6068, 2870, 4190, 7270, 585, 782, 741, 3662, 2828, 269, 1717, 267, 789, 2141, 9289, 2436, 741, 7270, 941, 2653, 547, 946, 585, 3025, 780, 3080, 13566, 1554, 267, 1247, 11981, 930, 8949, 10381, 543, 3165, 267, 789, 3323, 6158, 827, 875, 789, 1223, 1118, 741, 4609, 1256, 1732, 269, 7665, 608, 13094, 267, 834, 291, 24387, 267, 594, 4862, 827, 713, 5863, 1907, 1572, 1412, 27165, 14818, 532, 256, 262, 898, 13071, 721, 1294, 1483, 2831, 1210, 938, 7270, 543, 6645, 721, 1018, 789, 1589, 15323, 257, 32452, 267, 7665, 256, 2334, 4992, 9735, 2437, 1767, 30751, 269, 834, 4131, 781, 2285, 621, 513, 2119, 1318, 2476, 10590, 1656, 865, 789, 1705, 269, 2060, 14871, 14818, 532, 267, 789, 14478, 7044, 540, 1114, 2831, 3843, 856, 741, 7270, 269, 2368, 1336, 1919, 2352, 547, 4945, 267, 1866, 3893, 4503, 2059, 519, 1259, 267, 543, 1082, 1185, 8373, 2542, 1507, 1257, 780, 2026, 789, 4797, 11287, 543, 1565, 267, 789, 7691, 602, 1818, 2242, 1759, 593, 891, 4030, 1131, 1118, 741, 7270, 1454, 811, 3593, 7888, 269, 8625, 267, 789, 5249, 2182, 547, 2087, 519, 1374, 267, 11768, 267, 543, 1543, 269, 4256, 3646, 6976, 1055, 950, 789, 4718, 875, 6126, 741, 3755, 941, 609, 519, 1007, 2242, 780, 4913, 267, 1945, 6397, 5949, 269, 4634, 1498, 1034, 540, 741, 3755, 15874, 519, 9283, 267, 513, 1906, 1869, 5185, 2591, 269, 589, 6263, 1884, 7948, 1405, 3914, 1978, 16181, 267, 543, 606, 11361, 17707, 17388, 547, 1224, 4130, 13944, 7306, 269, 7665, 543, 30751, 5433, 771, 24711, 2989, 267, 16734, 602, 1100, 2339, 875, 2182, 789, 6836, 267, 972, 1522, 2141, 581, 2576, 945, 8188, 7965, 1210, 741, 7270, 780, 1607, 6026, 873, 606, 1271, 3992, 910, 602, 8888, 585, 13784, 1797, 6236, 1169, 2582, 3593, 267, 7488, 540, 2450, 267, 2085, 267, 610, 2702, 269, 9282, 789, 949, 2760, 3035, 19870, 267, 20678, 2509, 621, 786, 2327, 18668, 8436, 543, 1711, 513, 811, 3309, 543, 3015, 3059, 1158, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 22296, 2248, 513, 1907, 602, 666, 581, 1031, 547, 1449, 513, 3896, 781, 32636, 563, 3080, 3532, 1907, 602, 666, 581, 1031, 547, 1449, 513, 3896, 781, 32636, 568, 834, 27165, 14818, 532, 2668, 901, 3760, 2636, 596, 547, 2932, 6552, 3593, 4255, 1141, 596, 666, 4585, 543, 6432, 547, 1004, 1210, 707, 3896, 543, 1683, 5955, 593, 741, 1995, 269, 901, 666, 948, 596, 2697, 1022, 2152, 610, 2127, 585, 6454, 538, 2474, 540, 32636, 543, 3593, 1922, 5987, 17349, 269, 31035, 689, 14871, 14818, 532, 267, 824, 2442, 32636, 4152, 2645, 1331, 12182, 21186, 267, 8838, 2711, 22544, 267, 15434, 5414, 17378, 267, 543, 6733, 3724, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6124, 5751, 689, 16679, 9142, 476, 1708, 272, 268, 4962, 268, 6860, 307, 2420, 281, 2004, 281, 5379, 269, 1822, 1822, 454, 4263, 783, 714, 5964, 281, 476, 272, 3520, 320, 476, 1015, 1295, 583, 657, 693, 337, 27222, 454, 20797, 9273, 5473, 6678, 531, 335, 625, 540, 5114, 538, 713, 1305, 540, 1863, 2055, 2966, 585, 6673, 11061, 1053, 563, 13425, 707, 1620, 540, 3002, 4390, 543, 1608, 528, 574, 4479, 538, 713, 1305, 540, 1863, 2259, 2055, 2966, 585, 6673, 11061, 1053, 563, 20797, 24263, 547, 519, 14282, 4557, 543, 24263, 547, 519, 14282, 4627, 563, 24876, 707, 2634, 513, 15904, 609, 891, 4161, 2042, 593, 24263, 563, 8201, 856, 519, 10974, 540, 513, 1448, 1063, 1079, 824, 2798, 602, 3947, 513, 1978, 5223, 269, 1280, 1383, 267, 1265, 513, 1448, 645, 865, 602, 621, 568, 1079, 555, 8674, 540, 519, 1259, 1063, 1448, 589, 543, 595, 563, 20797, 9236, 8454, 609, 519, 948, 540, 23877, 513, 1938, 563, 11693, 1079, 12730, 609, 741, 2427, 3800, 267, 3313, 2436, 519, 12730, 616, 2147, 610, 711, 563, 20797, 1018, 596, 917, 827, 5385, 3928, 538, 713, 3635, 563, 20797, 24263, 547, 519, 14282, 4557, 543, 24263, 547, 519, 14282, 4627, 593, 519, 1297, 1899, 563, 20797, 7311, 519, 5726, 540, 1648, 1876, 547, 6746, 1227, 4194, 585, 606, 7164, 563, 299, 11229, 476, 272, 593, 513, 1297, 1899, 13042, 609, 476, 271, 543, 513, 1770, 6824, 563, 26368, 519, 6824, 540, 513, 2898, 602, 568, 26484, 269, 17773, 616, 1447, 982, 476, 272, 563, 11372, 17586, 476, 278, 2053, 513, 1297, 1447, 982, 610, 3160, 547, 476, 1015, 563, 20797, 10920, 19397, 519, 2188, 538, 8691, 2042, 543, 1294, 875, 621, 5540, 519, 1587, 563, 11372, 17586, 476, 277, 2053, 513, 1297, 1447, 982, 610, 3160, 547, 476, 1015, 563, 11372, 17586, 476, 274, 2053, 513, 1297, 1447, 982, 610, 3160, 547, 476, 1015, 563, 20797, 8159, 952, 513, 18802, 568, 606, 28102, 3934, 1807, 540, 930, 2551, 9936, 563, 20797, 1210, 519, 3844, 3970, 11532, 547, 4766, 519, 3337, 540, 519, 10386, 3892, 540, 513, 3732, 1611, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5403, 5937, 529, 2120, 24486, 18401, 12020, 281, 29760, 593, 4826, 10866, 543, 5211, 7010, 692, 7072, 912, 1103, 519, 2796, 540, 6595, 2359, 267, 2022, 16162, 2120, 5989, 6051, 4058, 4249, 513, 2629, 1909, 538, 19620, 2950, 262, 1569, 547, 1898, 2533, 971, 607, 2973, 1216, 267, 19455, 267, 6283, 267, 543, 1648, 269, 901, 1576, 1770, 786, 5490, 883, 713, 1888, 998, 519, 7828, 540, 1216, 2298, 543, 5757, 1949, 267, 5373, 593, 519, 1383, 3177, 538, 519, 4367, 3823, 519, 12159, 540, 15195, 8134, 543, 519, 1764, 540, 21137, 5533, 593, 5757, 3755, 269, 1284, 786, 2263, 519, 10848, 540, 5883, 5757, 1949, 1310, 513, 9568, 267, 1865, 2994, 547, 2087, 1216, 2298, 267, 543, 2015, 875, 891, 3646, 666, 3565, 547, 6626, 2825, 3853, 780, 296, 269, 4197, 5211, 23270, 338, 543, 4256, 11957, 454, 305, 1853, 8134, 1489, 3309, 18508, 543, 21426, 267, 3246, 2565, 7226, 585, 3875, 7103, 1247, 849, 5356, 3255, 585, 18883, 543, 11005, 269, 1452, 8134, 2709, 1585, 8733, 3252, 267, 1519, 8770, 15203, 267, 11159, 7939, 267, 543, 6360, 1852, 630, 289, 1716, 14551, 339, 1696, 620, 1421, 476, 1220, 276, 1040, 1635, 9301, 519, 1871, 540, 2635, 5757, 8134, 267, 8030, 543, 14519, 666, 1118, 5483, 3664, 950, 8888, 6051, 4566, 1739, 12469, 780, 2862, 269, 17291, 21784, 338, 547, 5211, 23270, 338, 543, 4826, 10866, 454, 288, 21318, 540, 2188, 21279, 5757, 8134, 543, 1216, 2298, 5001, 269, 12124, 1436, 267, 6683, 267, 2916, 1689, 267, 543, 3665, 4365, 2621, 782, 1747, 1713, 2604, 593, 891, 17866, 5054, 269, 1280, 3236, 267, 2799, 11811, 8515, 2404, 609, 2916, 1689, 949, 22652, 5916, 29326, 24492, 2621, 267, 3056, 547, 11506, 2157, 540, 13596, 543, 14107, 10024, 8933, 543, 7133, 19654, 1216, 3755, 630, 298, 11839, 1696, 620, 1421, 476, 1001, 280, 1040, 3958, 267, 6694, 2853, 1419, 1267, 538, 3037, 11761, 543, 8770, 30450, 267, 799, 11874, 5222, 12748, 1272, 543, 11527, 8460, 2949, 1216, 2298, 630, 4537, 541, 921, 344, 1299, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 272, 269, 13245, 8933, 616, 4105, 585, 9265, 543, 547, 1480, 1072, 543, 1134, 5630, 269, 23117, 1683, 9249, 585, 513, 2039, 540, 7320, 267, 2149, 1996, 14700, 543, 1683, 4190, 4025, 585, 18883, 543, 8086, 269, 18610, 4248, 8134, 616, 538, 6433, 11451, 543, 538, 4789, 972, 616, 4145, 827, 519, 2789, 17613, 1373, 5116, 593, 5757, 710, 9265, 543, 519, 12178, 15054, 547, 7669, 11302, 543, 824, 5757, 3755, 689, 4551, 689, 21137, 5533, 563, 273, 269, 769, 922, 476, 1839, 5729, 5113, 4643, 267, 9783, 538, 476, 1001, 279, 267, 519, 6554, 26823, 3022, 547, 5838, 15777, 2011, 543, 1216, 538, 4789, 779, 4872, 543, 6917, 8916, 267, 547, 2149, 12219, 2249, 543, 547, 1683, 21950, 7320, 9249, 269, 272, 898, 16219, 547, 5150, 2973, 543, 726, 550, 3814, 1216, 676, 2048, 574, 2889, 1324, 693, 2547, 1614, 20453, 540, 938, 7297, 547, 581, 2673, 547, 741, 2067, 1533, 607, 4166, 607, 568, 1316, 27809, 9957, 273, 454, 274, 269, 634, 1034, 2487, 5515, 3370, 676, 519, 5113, 10837, 267, 896, 13800, 8385, 3964, 676, 519, 9167, 4826, 17563, 6034, 633, 267, 1397, 602, 1152, 476, 1691, 260, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8070, 5937, 529, 2120, 24486, 18401, 12020, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 17073, 5004, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5814, 19523, 692, 323, 3534, 815, 19523, 27769, 341, 314, 272, 2639, 322, 31788, 815, 19523, 27769, 341, 314, 273, 6540, 604, 13798, 517, 538, 31252, 10778, 13537, 6262, 31788, 267, 834, 529, 1459, 5602, 12828, 10778, 13537, 6262, 31788, 267, 834, 529, 711, 1459, 5602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 563, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 24707, 9509, 11657, 454, 4462, 8971, 1540, 1257, 12744, 281, 13898, 543, 634, 3163, 5623, 476, 2767, 270, 6349, 270, 1220, 279, 476, 4905, 281, 6021, 281, 876, 476, 272, 269, 11096, 28441, 16610, 589, 269, 14803, 3701, 5590, 5627, 23350, 543, 3932, 20031, 1047, 910, 4128, 547, 3494, 1945, 568, 3020, 269, 10390, 910, 1018, 519, 23350, 7028, 269, 645, 269, 4406, 7190, 543, 769, 1998, 7190, 4406, 7190, 910, 519, 5168, 540, 519, 23350, 25401, 18715, 519, 5168, 540, 519, 3932, 269, 769, 1998, 7190, 910, 519, 8753, 5168, 568, 711, 16798, 676, 519, 22402, 5168, 269, 595, 269, 18266, 267, 14675, 1145, 267, 543, 595, 690, 1890, 18266, 910, 513, 3959, 540, 20790, 630, 320, 20790, 568, 519, 1543, 540, 707, 3661, 264, 14675, 1145, 268, 1018, 707, 6031, 814, 547, 581, 4570, 543, 519, 22402, 3020, 269, 667, 269, 1473, 25934, 543, 667, 9254, 794, 1473, 25934, 910, 952, 519, 22402, 616, 3020, 267, 1287, 519, 3932, 568, 4440, 3020, 269, 667, 9254, 794, 268, 952, 519, 22402, 616, 3020, 267, 519, 3932, 568, 9090, 3020, 269, 661, 269, 18266, 3026, 10354, 17148, 1403, 623, 267, 1287, 1627, 1627, 568, 2556, 585, 623, 623, 568, 6190, 585, 1627, 7151, 281, 1403, 1955, 538, 645, 30629, 267, 1287, 1955, 538, 12548, 19601, 8698, 9509, 11657, 454, 268, 11354, 1412, 5400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 15384, 6939, 320, 674, 329, 601, 1091, 320, 267, 14332, 773, 1299, 27411, 675, 267, 476, 1220, 277, 291, 1046, 10627, 529, 454, 15862, 476, 272, 540, 476, 279, 454, 307, 11961, 16492, 267, 2136, 6243, 540, 454, 299, 12685, 8270, 918, 2572, 320, 11206, 15944, 454, 18704, 713, 1843, 454, 19064, 817, 518, 6134, 525, 630, 8110, 4221, 6177, 10245, 347, 5522, 520, 344, 4614, 597, 13160, 630, 310, 4490, 3887, 13433, 267, 25858, 25746, 8038, 13906, 7129, 10245, 30999, 584, 18384, 540, 645, 15384, 6939, 320, 3842, 519, 6820, 26085, 6176, 11120, 1006, 454, 763, 594, 30002, 4414, 5903, 568, 513, 2565, 13525, 540, 519, 1072, 540, 519, 1158, 779, 9265, 269, 10787, 811, 982, 513, 1592, 540, 2249, 543, 741, 4567, 267, 621, 568, 513, 3532, 1907, 547, 1217, 543, 10776, 572, 2962, 585, 9265, 5726, 543, 3609, 1689, 267, 2565, 547, 7863, 519, 2067, 2200, 649, 991, 547, 7639, 269, 898, 2488, 1344, 827, 2039, 267, 2551, 2450, 267, 7226, 543, 14498, 267, 946, 543, 5924, 4123, 267, 6937, 267, 543, 5726, 3527, 602, 786, 948, 1217, 2556, 5726, 3664, 563, 13126, 281, 16819, 16908, 4139, 476, 1001, 278, 269, 645, 15384, 6939, 320, 674, 329, 601, 1091, 18033, 267, 14332, 773, 1299, 27411, 675, 267, 476, 1220, 277, 269, 634, 594, 30002, 4414, 5903, 540, 21784, 2989, 15661, 476, 1001, 278, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 15996, 276, 270, 296, 30002, 269, 20084, 269, 1001, 278, 268, 274, 10611, 299, 4811, 11053, 25375, 30306, 2641, 288, 14093, 278, 5379, 276, 4792, 269, 523, 454, 2691, 1007, 1570, 610, 513, 1007, 1843, 3587, 1569, 16845, 547, 519, 10070, 267, 1344, 786, 1246, 609, 519, 2520, 565, 6327, 543, 4266, 267, 2059, 609, 519, 2012, 540, 519, 21689, 7933, 517, 528, 267, 543, 538, 930, 8320, 2232, 269, 901, 568, 513, 32563, 585, 519, 1843, 610, 1570, 547, 581, 4143, 585, 3621, 5301, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12585, 2433, 476, 275, 476, 274, 10681, 19247, 2433, 8382, 281, 667, 264, 476, 274, 10681, 19247, 281, 4518, 2944, 676, 623, 543, 1627, 538, 519, 1101, 1079, 3108, 267, 2324, 3124, 2299, 284, 3689, 5662, 623, 5822, 5662, 1627, 22382, 1691, 476, 12208, 284, 1724, 1740, 568, 6192, 538, 476, 273, 3108, 10190, 267, 519, 2698, 942, 2838, 547, 2347, 519, 960, 676, 623, 543, 1627, 2324, 3124, 2299, 284, 273, 1535, 476, 274, 284, 476, 277, 327, 2293, 13295, 267, 960, 786, 581, 6192, 693, 476, 274, 10975, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 293, 29707, 1577, 596, 8237, 519, 11422, 6885, 883, 1114, 6810, 269, 3962, 3296, 568, 3989, 676, 693, 2547, 1614, 16776, 267, 2999, 325, 29707, 564, 285, 267, 2999, 18134, 521, 21683, 27784, 543, 21742, 325, 29707, 564, 285, 563, 763, 2999, 325, 29707, 564, 285, 11090, 786, 581, 2901, 2999, 325, 29707, 564, 4737, 6889, 337, 272, 267, 337, 273, 267, 24222, 337, 333, 22969, 610, 2999, 325, 29707, 564, 897, 6889, 322, 272, 22698, 273, 267, 24222, 322, 333, 22969, 267, 1141, 562, 568, 519, 1297, 540, 8880, 14604, 596, 786, 10518, 630, 4900, 284, 264, 610, 519, 1297, 540, 7299, 14604, 596, 786, 1747, 1985, 547, 1142, 824, 630, 3712, 338, 284, 1040, 634, 2338, 1310, 519, 3160, 1129, 2285, 519, 11422, 519, 2450, 538, 19641, 610, 6871, 540, 519, 9343, 610, 9587, 269, 1411, 949, 946, 606, 2608, 585, 678, 333, 610, 524, 333, 547, 2995, 519, 11422, 547, 946, 519, 1964, 540, 922, 6885, 585, 519, 2063, 4737, 610, 6241, 563, 27237, 292, 281, 2755, 5769, 25817, 786, 3398, 513, 2999, 325, 29707, 564, 285, 11090, 1510, 513, 4737, 284, 610, 513, 897, 284, 267, 715, 1115, 3874, 26292, 786, 711, 269, 1411, 786, 849, 991, 513, 26893, 1310, 707, 678, 272, 610, 524, 272, 1256, 952, 596, 798, 711, 723, 606, 678, 273, 610, 524, 273, 563, 10376, 4737, 610, 6241, 3340, 513, 7222, 2999, 18134, 521, 21683, 27784, 11090, 1354, 519, 21742, 325, 29707, 564, 20101, 634, 2999, 18134, 521, 21683, 27784, 11090, 3568, 519, 3095, 547, 519, 3758, 609, 519, 4890, 14103, 3009, 799, 519, 11422, 786, 4159, 1369, 519, 7406, 563, 27237, 292, 281, 9664, 609, 14604, 798, 711, 723, 513, 2999, 7853, 285, 610, 513, 21742, 7853, 285, 11090, 282, 4061, 789, 3112, 4159, 4376, 4830, 540, 519, 14604, 563, 2690, 707, 8436, 4171, 26292, 798, 711, 1489, 14604, 267, 596, 1522, 6999, 547, 1331, 1945, 899, 912, 27237, 292, 281, 4595, 1082, 3406, 9817, 3112, 3095, 547, 1570, 1369, 14604, 267, 789, 3274, 798, 711, 1592, 3817, 799, 946, 14604, 269, 1411, 1522, 2015, 713, 950, 8888, 707, 3135, 563, 15100, 2983, 334, 269, 5062, 9773, 760, 476, 1220, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 9119, 4147, 476, 277, 19436, 10298, 281, 3848, 476, 274, 29892, 2060, 10606, 11644, 476, 274, 269, 273, 6261, 691, 476, 272, 692, 304, 269, 272, 1548, 568, 519, 2040, 540, 1022, 1079, 1384, 1432, 568, 519, 2040, 540, 1022, 1079, 1384, 5416, 264, 744, 9536, 2338, 780, 12585, 281, 634, 2040, 540, 1022, 1079, 9642, 2338, 568, 606, 1256, 1297, 780, 7078, 1384, 6357, 264, 4634, 2338, 780, 12585, 281, 634, 2040, 540, 1022, 1079, 1256, 2338, 568, 849, 606, 1256, 1297, 780, 7078, 1384, 304, 269, 273, 3557, 2436, 519, 1739, 6898, 616, 3020, 610, 7301, 1384, 5416, 264, 634, 2040, 540, 1614, 9642, 2338, 568, 1256, 780, 288, 269, 8771, 692, 6357, 264, 634, 2040, 540, 1079, 9642, 2338, 543, 835, 1256, 1297, 568, 1256, 780, 288, 269, 6936, 692, 6262, 264, 634, 1587, 540, 1614, 9642, 2338, 568, 9642, 780, 288, 269, 6936, 692, 5560, 264, 1403, 606, 1256, 1297, 568, 5258, 676, 476, 273, 267, 519, 23479, 568, 2141, 9642, 780, 288, 269, 8771, 692, 16216, 264, 2353, 6305, 2338, 616, 9642, 780, 288, 269, 8771, 692, 6600, 264, 11788, 2338, 798, 711, 723, 1022, 2188, 780, 288, 269, 8771, 692, 14116, 264, 5681, 540, 1079, 6305, 2338, 568, 2141, 1256, 780, 288, 269, 8771, 692, 22607, 264, 476, 273, 568, 519, 1152, 1256, 6305, 1297, 780, 288, 269, 6936, 692, 9217, 264, 2353, 1256, 2338, 616, 12432, 2338, 780, 288, 269, 8771, 692, 27203, 264, 634, 1587, 540, 1079, 1256, 2338, 568, 2141, 1256, 780, 288, 269, 6936, 692, 304, 269, 274, 634, 2338, 476, 1724, 543, 476, 4029, 616, 6305, 2338, 269, 5637, 891, 2338, 723, 1482, 9704, 476, 272, 543, 476, 274, 269, 4855, 971, 8424, 540, 6305, 2338, 909, 547, 476, 1911, 780, 263, 272, 32007, 263, 273, 32007, 263, 274, 2020, 304, 269, 275, 3503, 1524, 14384, 519, 6305, 543, 12432, 2338, 1447, 982, 476, 736, 780, 28269, 2338, 281, 476, 273, 267, 476, 274, 267, 476, 276, 267, 278, 267, 1556, 267, 1724, 267, 1704, 267, 866, 692, 4467, 22683, 2338, 281, 476, 275, 267, 277, 267, 279, 267, 280, 267, 1015, 267, 1321, 267, 1691, 267, 1428, 267, 1626, 267, 1240, 692, 304, 269, 276, 1548, 568, 519, 6574, 6305, 1297, 1063, 543, 26042, 763, 6574, 6305, 1297, 1063, 476, 272, 543, 476, 1015, 568, 2048, 278, 685, 692, 304, 269, 277, 18124, 519, 1739, 607, 519, 2040, 540, 1079, 9642, 2338, 1384, 5416, 264, 476, 4510 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 19864, 4566, 547, 1832, 513, 9395, 4341, 593, 5533, 676, 5969, 5434, 3361, 676, 4853, 2504, 543, 6472, 950, 621, 14747, 519, 6673, 4488, 9483, 24285, 262, 20051, 538, 5437, 269, 3245, 5437, 476, 274, 547, 476, 1321, 267, 519, 2749, 786, 6615, 519, 946, 540, 4357, 6472, 1759, 593, 1256, 663, 9642, 333, 3518, 1229, 12689, 10824, 267, 4227, 519, 946, 540, 971, 6472, 676, 476, 3374, 2600, 267, 519, 18513, 567, 6808, 12233, 1767, 593, 13628, 269, 2353, 6472, 24317, 4070, 3653, 543, 5906, 6464, 786, 581, 17049, 689, 519, 3854, 781, 9897, 1282, 713, 1974, 267, 855, 519, 19231, 786, 711, 4019, 547, 21772, 267, 3454, 529, 543, 824, 6472, 971, 607, 7128, 6517, 269, 634, 3800, 616, 2147, 547, 1346, 5189, 689, 5147, 476, 736, 547, 20029, 269, 476, 736, 538, 476, 1220, 279, 1282, 519, 19864, 16727, 10632, 269, 834, 763, 1297, 540, 15915, 1210, 1857, 3560, 786, 2333, 676, 476, 274, 2929, 513, 1554, 267, 834, 1767, 9149, 32599, 4040, 267, 1244, 14280, 8689, 540, 519, 19864, 29853, 5004, 13163, 269, 4438, 519, 476, 1015, 2395, 267, 476, 6110, 3606, 21772, 786, 581, 1031, 547, 3560, 862, 26407, 547, 2743, 519, 2799, 7569, 269, 634, 18513, 2229, 814, 849, 6537, 909, 5216, 4566, 547, 2569, 4853, 5533, 1282, 519, 5607, 303, 6680, 9483, 29046, 8468, 269, 11809, 340, 836, 11809, 573, 784, 267, 1244, 14280, 8689, 540, 519, 19864, 27391, 531, 7025, 10466, 13163, 267, 1767, 267, 834, 5804, 8734, 269, 476, 274, 267, 2504, 693, 930, 3549, 7396, 676, 519, 2229, 786, 581, 9041, 585, 476, 1015, 2395, 1701, 4518, 786, 849, 581, 17735, 693, 782, 4070, 4609, 543, 593, 23542, 819, 3785, 1282, 713, 1974, 269, 834, 5415, 11932, 267, 19864, 786, 960, 609, 922, 12543, 547, 1852, 5434, 2437, 11809, 340, 836, 1767, 267, 4946, 602, 972, 786, 581, 2834, 4901, 593, 2011, 5533, 1851, 3670, 6608, 269, 27199, 321, 1681, 8128, 538, 570, 1014, 329, 514, 27391, 1275, 267, 1261, 2041, 328, 267, 22767, 3495, 543, 1744, 663, 784, 19435, 543, 519, 28740, 31322, 32534, 16323, 786, 7500, 7453, 5533, 1852, 3800, 936, 519, 476, 1015, 2395, 269, 9012, 5359, 1767, 602, 689, 8734, 269, 476, 278, 547, 476, 1321, 267, 9441, 13623, 267, 32112, 543, 1514, 3906, 538, 19864, 666, 723, 513, 9702, 267, 4849, 585, 13623, 7231, 609, 519, 6673, 4488, 5870, 543, 2749, 2359, 269, 1548, 666, 649, 1451, 689, 519, 8574, 888, 271, 269, 23663, 666, 1405, 581, 1031, 538, 19864, 689, 5437, 476, 274, 547, 476, 1321, 563, 272, 269, 3502, 782, 519, 1004, 538, 19864, 666, 723, 513, 9702, 689, 5437, 476, 278, 547, 476, 1321, 563, 273, 269, 22893, 786, 3442, 21772, 607, 741, 1152, 1797, 540, 3560, 563, 274, 269, 2353, 519, 15231, 16899, 786, 1491, 519, 1482, 3800, 563, 12585, 281, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 519, 1686, 540, 9604, 286, 898, 781, 2731, 4277, 2439, 7692, 281, 19743, 7705, 256, 23010, 267, 594, 1589, 594, 917, 1018, 596, 1611, 269, 6145, 32639, 267, 15963, 267, 543, 8631, 899, 602, 2496, 8334, 281, 22549, 256, 1411, 917, 267, 1256, 1498, 1346, 1919, 666, 581, 5906, 267, 789, 941, 1271, 585, 7863, 1004, 1394, 538, 519, 2025, 2395, 269, 1809, 1631, 649, 946, 1945, 1572, 1412, 21720, 2631, 262, 547, 3251, 2922, 269, 21763, 547, 1451, 930, 3579, 1806, 2496, 7692, 281, 17610, 267, 602, 4992, 1187, 256, 1548, 781, 519, 1101, 835, 2496, 8334, 281, 28514, 267, 4952, 596, 1265, 606, 2025, 18156, 538, 707, 6264, 8001, 781, 1140, 545, 269, 1548, 1131, 596, 798, 2496, 7692, 281, 4270, 267, 594, 9327, 1405, 5905, 621, 1317, 621, 1522, 581, 8325, 543, 594, 1223, 1205, 10413, 780, 8334, 281, 2334, 781, 1318, 256, 4635, 1455, 2631, 1797, 6616, 950, 1945, 1223, 581, 5739, 543, 9319, 621, 269, 3767, 267, 1577, 803, 2995, 596, 1776, 3510, 5473, 513, 7784, 689, 1279, 3516, 269, 5994, 2576, 2982, 596, 741, 22660, 781, 1660, 8208, 269, 1358, 1616, 547, 1397, 596, 875, 621, 1568, 855, 621, 781, 16041, 269, 1548, 1058, 596, 2161, 2496, 7692, 281, 594, 9364, 4440, 2307, 952, 621, 781, 796, 2903, 539, 1354, 789, 1376, 6029, 803, 4376, 269, 1403, 789, 1810, 1405, 917, 267, 1287, 594, 9364, 2303, 6028, 621, 4805, 2394, 2576, 945, 6487, 875, 547, 6023, 621, 9108, 2501, 2059, 780, 8334, 281, 4279, 2816, 267, 7585, 256, 16792, 1455, 2631, 2337, 1832, 596, 543, 1866, 856, 540, 2800, 781, 1259, 269, 2561, 3285, 908, 3140, 9604, 3085, 1405, 8209, 1611, 8380, 3054, 538, 8594, 269, 1635, 1373, 18762, 267, 8049, 267, 543, 16614, 267, 3025, 2640, 269, 5457, 267, 3106, 2141, 2501, 1101, 2439, 7692, 281, 20944, 621, 267, 7705, 256, 8729, 585, 3450, 803, 827, 713, 538, 971, 513, 1187, 1259, 269, 594, 1745, 21273, 2907, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1911, 9664, 3040, 476, 5038, 267, 274, 4281, 9293, 3040, 7300, 3040, 476, 280, 269, 280, 15406, 454, 308, 22744, 539, 693, 476, 1708, 272, 268, 6021, 268, 2190, 476, 1724, 281, 2412, 454, 1607, 3561, 729, 11643, 676, 938, 3593, 543, 789, 6166, 602, 789, 723, 519, 9844, 547, 2671, 621, 269, 32114, 602, 596, 616, 5856, 610, 1378, 519, 10677, 540, 713, 3561, 267, 1867, 547, 721, 676, 1210, 713, 20336, 7563, 1867, 7735, 563, 21848, 540, 5082, 4710, 577, 676, 454, 20694, 6387, 4119, 20692, 553, 1299, 667, 9222, 715, 31651, 454, 290, 1042, 1080, 1280, 2422, 609, 519, 11202, 325, 5407, 10020, 2452, 532, 10794, 454, 4467, 6312, 2225, 609, 519, 11202, 325, 5407, 10020, 2452, 532, 10794, 3340, 519, 11202, 325, 5407, 10020, 2452, 532, 10794, 689, 14529, 714, 334, 5549, 269, 6423, 5291, 2517, 11985, 714, 334, 2593, 9706, 987, 325, 5407, 14641, 294, 585, 811, 1344, 593, 519, 11202, 325, 5407, 10020, 2452, 532, 10794, 269, 14529, 714, 334, 5549, 269, 1281, 711, 10018, 17356, 267, 543, 1281, 711, 23596, 713, 1587, 269, 11202, 325, 5407, 568, 513, 10805, 22028, 540, 14529, 714, 334, 5549, 267, 543, 519, 11202, 325, 5407, 10020, 2452, 532, 10794, 543, 519, 11202, 325, 5407, 10020, 2452, 532, 10794, 3281, 520, 2225, 8298, 334, 616, 30931, 540, 14529, 714, 334, 5549, 267, 543, 616, 1031, 896, 519, 11202, 325, 5407, 10020, 2452, 532, 10794, 3281, 520, 2225, 17821, 269, 6423, 5291, 2517, 11985, 714, 334, 2593, 9706, 987, 325, 5407, 14641, 294, 270, 4818, 520, 2225, 585, 811, 1344, 593, 519, 10284, 756, 559, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 13639, 1315, 1284, 777, 976, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 3776, 1544, 729, 547, 5397, 883, 11062, 267, 6952, 519, 476, 278, 281, 4097, 5721, 547, 20506, 23051, 9335, 13749, 267, 1287, 547, 5094, 543, 2743, 1586, 585, 12899, 269, 1284, 1058, 723, 8452, 693, 20506, 23051, 693, 476, 280, 281, 866, 267, 855, 1813, 547, 513, 6093, 5507, 20893, 267, 519, 5721, 1185, 547, 1847, 2059, 865, 7444, 602, 621, 729, 711, 2394, 476, 1015, 281, 1789, 602, 621, 3893, 972, 269, 769, 19220, 540, 938, 3735, 12625, 267, 29315, 267, 1250, 7385, 781, 11078, 267, 4956, 602, 1352, 1131, 979, 547, 1294, 519, 22477, 4035, 1564, 538, 519, 18975, 540, 5507, 1247, 649, 4682, 10918, 269, 898, 729, 1152, 1310, 1200, 11078, 1185, 20374, 883, 519, 20893, 602, 1250, 7385, 7691, 602, 649, 22821, 1405, 4956, 1141, 649, 1058, 2743, 585, 12899, 269, 4595, 594, 1185, 938, 1614, 17914, 585, 519, 13447, 538, 1250, 17927, 267, 713, 729, 8197, 513, 1966, 269, 1703, 8604, 547, 581, 4986, 649, 1223, 798, 4849, 2921, 513, 3454, 328, 547, 519, 18975, 540, 5507, 267, 543, 2119, 547, 1265, 1200, 972, 269, 10261, 1652, 547, 2161, 267, 649, 4769, 1405, 1265, 1200, 269, 898, 729, 1631, 835, 522, 262, 22018, 267, 543, 519, 13447, 3459, 693, 476, 273, 281, 1789, 269, 834, 22818, 1352, 786, 1589, 540, 7996, 3544, 519, 13447, 10689, 2437, 6700, 1250, 7385, 23248, 269, 1635, 713, 942, 519, 20893, 729, 865, 5394, 602, 4155, 6808, 1185, 547, 3247, 267, 543, 519, 1152, 1259, 547, 1205, 972, 729, 676, 11895, 16749, 269, 7435, 538, 1688, 649, 5433, 938, 1259, 2059, 519, 4155, 547, 1141, 649, 2219, 519, 14282, 6728, 1058, 581, 269, 1323, 5662, 2663, 649, 941, 1869, 3843, 547, 1265, 621, 269, 3807, 607, 594, 729, 827, 547, 6336, 1250, 2191, 4625, 950, 649, 1558, 513, 9420, 812, 26378, 1010, 1259, 18390, 998, 519, 20893, 269, 2060, 1010, 948, 649, 1336, 18975, 10830, 8546, 6728, 1175, 15823, 18126, 1524, 519, 4155, 269, 1635, 1631, 621, 729, 2484, 1932, 3735, 1256, 547, 2119, 547, 1205, 547, 519, 13447, 10689, 1354, 519, 2773, 3459, 693, 476, 273, 281, 1789, 267, 865, 649, 4956, 547, 2132, 547, 11062, 269, 898, 3576, 5722, 1279, 3108, 3079, 540, 519, 8912, 1079, 547, 1118, 602, 3460, 269, 7439, 941, 649, 2111, 547, 1205, 1022, 1426, 543, 4235, 593, 519, 5721, 269, 570, 1600, 543, 17237, 649, 6368, 6603, 1753, 693, 4557, 267, 6679, 519, 7450, 547, 519, 3280, 540, 519, 15146, 11350, 269, 898, 729, 29315, 282, 1352, 1185, 2938, 519, 22477, 4035, 1564, 267, 1185, 7307, 547, 1205, 1776, 19044, 585, 13447, 267, 543, 1185, 1185, 513, 8748, 12129, 693, 513, 13962, 2282, 519, 15678, 1141, 1352, 4956, 547, 3251, 585, 519, 3781, 269, 3767, 1352, 729, 30366, 547, 3605, 2436, 649, 1185, 1185, 606, 8449, 3811, 1554, 269, 898, 781, 3833, 2312, 602, 585, 29315, 519, 7552, 547, 5507, 1185, 1044, 567, 9041, 476, 4586, 271, 269, 838, 2830, 676, 519, 20893, 454, 272, 269, 3833, 512, 3931, 454, 273, 269, 2864, 14922, 532, 454, 274, 269, 1360, 11791, 454, 12585, 281, 476, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1692, 1114, 616, 519, 28486, 286, 1772, 4008, 19918, 1480, 286, 7316, 1281, 4008, 3961, 22132, 286, 2622, 3146, 11471, 2215, 520, 6048, 2605, 753, 632, 20613, 531, 26082, 721, 609, 513, 4195, 267, 2219, 4538, 2272, 563, 19352, 532, 593, 5756, 540, 11287, 519, 7180, 540, 824, 28516, 267, 2605, 753, 632, 20613, 531, 26082, 721, 2661, 593, 3942, 538, 5507, 547, 2263, 1018, 649, 917, 540, 6211, 3023, 3604, 543, 540, 519, 1909, 540, 2528, 543, 1514, 5314, 563, 8256, 18790, 875, 3023, 3604, 7960, 267, 14774, 543, 533, 11189, 7180, 267, 4638, 10066, 267, 4008, 3961, 267, 543, 519, 7687, 540, 519, 4008, 9352, 267, 632, 20613, 531, 786, 20272, 938, 3838, 12105, 1686, 269, 1261, 786, 849, 2263, 3604, 1063, 32315, 2763, 525, 630, 332, 1446, 13856, 543, 10795, 264, 543, 13755, 984, 657, 630, 337, 27968, 676, 8951, 543, 12560, 264, 1107, 543, 998, 713, 4334, 10741, 909, 513, 13858, 1007, 2093, 827, 3425, 267, 607, 649, 2015, 1018, 568, 2147, 543, 1018, 5036, 721, 6306, 563, 15987, 972, 616, 28507, 19320, 1063, 721, 267, 538, 519, 3096, 540, 5256, 543, 4775, 13033, 2516, 267, 607, 1134, 607, 4638, 6786, 267, 519, 6228, 540, 4008, 1875, 8410, 14127, 2043, 543, 14774, 7554, 267, 3425, 1796, 6306, 538, 519, 1646, 540, 6046, 3885, 267, 519, 9860, 540, 4638, 5208, 543, 4745, 15366, 1416, 563, 4415, 4274, 5813, 543, 2502, 9423, 267, 2605, 753, 786, 711, 1152, 5036, 1318, 575, 25311, 12886, 538, 519, 3621, 2146, 267, 855, 5838, 513, 1007, 1620, 540, 519, 24040, 8155, 543, 519, 1082, 7415, 30372, 540, 519, 1480, 2249, 563, 303, 571, 1047, 585, 2605, 753, 632, 20613, 531, 779, 7756, 912, 8072, 288, 7362, 540, 4195, 2011, 16634, 26812, 3215, 267, 13857, 543, 1360, 12905, 685, 1107, 31089, 3455, 645, 2958, 2006, 454, 8072, 288, 24253, 543, 4101, 1224, 685, 1107, 717, 2088, 681, 2089, 517, 454, 8072, 289, 18115, 5050, 2507, 1962, 902, 513, 3621, 267, 17519, 543, 7059, 1935, 547, 930, 540, 519, 29224, 27900, 827, 3023, 543, 4008, 685, 1107, 24204, 1998, 25424, 4498, 926, 454, 8072, 5319, 2775, 2989, 2507, 1496, 1372, 20613, 531, 779, 316, 26546, 1603, 267, 1010, 1236, 559, 995, 17293, 540, 23278, 1774, 267, 543, 1010, 2620, 1702, 540, 3662, 2257, 1217, 713, 13857, 543, 7096, 7156, 711, 1152, 540, 3017, 267, 855, 849, 540, 7663, 8864, 685, 1107, 12448, 21125 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7659, 4580, 17943, 4804, 15873, 454, 10673, 1405, 6968, 543, 890, 1188, 707, 1259, 998, 13691, 532, 269, 901, 6206, 4580, 17943, 4804, 15873, 786, 948, 1397, 596, 1697, 9416, 13307, 630, 24610, 4737, 1070, 543, 519, 13307, 540, 824, 1599, 10569, 269, 634, 5750, 3800, 476, 1704, 343, 476, 2420, 2580, 568, 9102, 593, 3556, 18450, 267, 543, 814, 513, 1804, 2780, 13691, 538, 519, 4099, 269, 12830, 10569, 616, 13042, 609, 513, 2241, 7778, 540, 519, 1599, 910, 9184, 267, 9101, 267, 18419, 267, 2132, 267, 11503, 9376, 267, 1110, 8595, 10569, 267, 2230, 3046, 267, 4287, 531, 10569, 267, 6521, 543, 1753, 4737, 269, 670, 836, 621, 909, 607, 513, 3308, 12576, 585, 6267, 607, 789, 2259, 741, 13691, 532, 1983, 269, 634, 1394, 540, 519, 1565, 5750, 814, 1614, 476, 279, 269, 276, 343, 1556, 2580, 3109, 543, 3043, 10063, 322, 17156, 910, 16258, 674, 5424, 4518, 719, 543, 8058, 1548, 1411, 5700, 585, 2259, 543, 513, 1507, 268, 8971, 3239, 540, 519, 4395, 540, 519, 1565, 5750, 563, 292, 6614, 2275, 10248, 6272, 7001, 3007, 543, 1459, 1565, 538, 513, 10477, 267, 12050, 1259, 269, 1452, 2442, 12125, 1459, 3638, 1543, 602, 22851, 13588, 543, 20383, 609, 4804, 11621, 269, 667, 9092, 1299, 23431, 910, 476, 1704, 257, 1535, 476, 2420, 257 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 26121, 568, 711, 1945, 602, 17015, 26826, 267, 855, 11969, 344, 8255, 1169, 1554, 267, 865, 9041, 568, 538, 3337, 563, 271, 269, 26826, 454, 272, 269, 11969, 344, 454, 12585, 281, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12163, 300, 10235, 5565, 23030, 19029, 676, 3257, 19219, 5681, 630, 13434, 27641, 543, 594, 614, 894, 994, 11693, 1079, 9352, 4054, 269, 1284, 991, 547, 19467, 873, 883, 513, 1007, 9352, 3529, 563, 763, 19467, 4341, 568, 602, 952, 1079, 9136, 16937, 267, 1287, 2040, 6843, 2418, 909, 454, 553, 519, 1007, 1871, 540, 519, 24673, 6843, 269, 19227, 267, 519, 1875, 5991, 1638, 6843, 786, 454, 2041, 1031, 607, 519, 6843, 540, 1007, 3529, 563, 12163, 5228, 17511, 1104, 8838, 1308, 692, 5228, 9352, 4671, 872, 17045, 1104, 19219, 476, 1948, 1826, 281, 11716, 454, 5228, 3529, 4671, 571, 951, 531, 1104, 538, 4650, 476, 1948, 1826, 281, 11716, 7531, 3698, 19467, 23544, 4671, 872, 263, 13774, 754, 281, 8838, 1308, 314, 11966, 3910, 1039, 754, 281, 8838, 1308, 314, 11966, 8079, 9847, 8838, 1308, 314, 11966, 14158, 825, 952, 11160, 754, 568, 7183, 543, 1039, 754, 568, 7183, 912, 1038, 2132, 7183, 692, 825, 952, 11160, 754, 568, 7183, 912, 1038, 2132, 1039, 754, 454, 825, 952, 1039, 754, 568, 7183, 912, 1038, 2132, 11160, 754, 692, 825, 3597, 815, 19219, 263, 13774, 754, 21606, 1341, 1039, 754, 21606, 994, 825, 3597, 16000, 815, 19467, 23544, 4671, 872, 263, 13774, 754, 16000, 267, 1039, 754, 16000, 994, 825, 3597, 16192, 815, 19467, 23544, 4671, 872, 263, 13774, 754, 16192, 267, 1039, 754, 16192, 2020, 825, 2132, 3597, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 11160, 754, 815, 19219, 263, 273, 994, 825, 11160, 754, 16000, 815, 19219, 263, 272, 994, 825, 11160, 754, 16192, 815, 19219, 263, 275, 994, 825, 11160, 754, 16000, 16000, 815, 19219, 263, 276, 2020, 825, 1039, 754, 815, 19219, 263, 274, 994, 825, 1039, 754, 16000, 815, 19219, 263, 277, 994, 825, 1039, 754, 16192, 815, 19219, 263, 272, 994, 825, 1039, 754, 16000, 16192, 815, 19219, 263, 273, 994, 825, 1039, 754, 16192, 16192, 815, 19219, 263, 278, 2020, 825, 3597, 815, 19467, 23544, 4671, 872, 263, 13774, 754, 267, 1039, 754, 994, 825, 538, 4650, 20172, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 1357, 14373, 786, 2263, 519, 2243, 540, 875, 547, 1489, 519, 2923, 7924, 2115, 540, 1453, 269, 898, 786, 1331, 7418, 689, 519, 1739, 912, 268, 7905, 20574, 744, 685, 10468, 650, 9306, 930, 540, 519, 4681, 689, 519, 2487, 715, 3722, 5308, 1867, 563, 268, 1656, 16699, 667, 11669, 630, 14937, 13702, 5441, 3427, 20157, 4115, 543, 14199, 547, 519, 3427, 23905, 6828, 540, 519, 700, 9590, 264, 3246, 4052, 5796, 543, 5583, 593, 875, 1153, 7172, 12579, 543, 3610, 666, 1489, 2923, 7924, 538, 3506, 563, 268, 5680, 3772, 24152, 519, 8521, 5765, 6380, 518, 5769, 4303, 5859, 543, 519, 960, 789, 798, 547, 1489, 3237, 267, 3610, 543, 1762, 1004, 547, 4383, 4950, 3106, 2152, 543, 3895, 2565, 3206, 563, 1607, 1357, 14373, 786, 581, 540, 1880, 1719, 547, 3237, 267, 3610, 267, 1153, 7172, 12579, 543, 4896, 3238, 538, 519, 1416, 540, 1762, 1004, 21457, 6176, 454, 18794, 3689, 30633, 267, 519, 2598, 16769, 16470, 13477, 543, 2027, 14538, 593, 13628, 267, 5130, 476, 2767, 693, 476, 274, 533, 6230, 269, 29643, 585, 741, 5767, 1382, 8470, 1548, 1281, 621, 1611, 547, 1867, 593, 543, 1353, 25749, 602, 9072, 4563, 543, 17104, 2950, 286, 769, 713, 4901, 1491, 25498, 689, 3689, 30633, 781, 5767, 1382, 786, 581, 5941, 267, 607, 1134, 607, 4245, 689, 8026, 20859, 543, 1857, 1072, 9439, 21457, 6176 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 22428, 649, 723, 513, 15279, 1228, 31565, 1297, 267, 1412, 273, 4488, 3299, 663, 649, 4941, 547, 6460, 621, 547, 8918, 269, 1411, 4121, 602, 519, 8918, 1003, 1968, 1062, 568, 3490, 476, 1015, 799, 1797, 1142, 7857, 568, 16611, 676, 930, 1379, 540, 476, 1015, 269, 769, 15279, 1228, 31565, 267, 519, 3490, 568, 476, 1626, 269, 1924, 1142, 7857, 568, 16611, 676, 930, 1379, 540, 476, 1626, 269, 634, 1101, 7857, 689, 519, 1318, 538, 938, 1297, 568, 1412, 290, 262, 799, 568, 538, 519, 3283, 1747, 269, 8786, 267, 15279, 1228, 31565, 814, 513, 3283, 1747, 1317, 1269, 1626, 317, 271, 284, 272, 10608, 1924, 595, 799, 6763, 585, 519, 1297, 476, 1321, 543, 568, 16611, 676, 1269, 290, 1422, 9392, 476, 1626, 317, 271, 284, 1321, 259, 563, 763, 2034, 7857, 689, 519, 1318, 538, 938, 1297, 568, 1412, 292, 8339, 661, 267, 799, 538, 8918, 568, 476, 1691, 267, 568, 538, 519, 13683, 324, 839, 1747, 269, 1924, 649, 723, 1269, 1691, 1422, 9392, 476, 1626, 317, 272, 284, 23470, 10608, 1924, 938, 512, 958, 568, 476, 23470, 1341, 476, 1321, 815, 476, 26951, 563, 7661, 267, 649, 723, 938, 2063, 7857, 799, 568, 1412, 273, 9538, 476, 273, 568, 538, 519, 1079, 4627, 15823, 29350, 525, 1747, 269, 1269, 273, 1422, 9392, 476, 1626, 317, 273, 284, 24423, 10608, 1924, 938, 3803, 512, 958, 568, 476, 24423, 1341, 476, 23470, 1341, 476, 1321, 815, 476, 278, 4366, 799, 568, 938, 3803, 2626, 269, 4635, 938, 31941, 10035, 1269, 278, 4366, 3709, 1015, 13157, 273, 4488, 3709, 1626, 21456, 3086, 267, 15475, 649, 1185, 513, 8918, 1297, 899, 267, 476, 30116, 267, 543, 649, 4941, 547, 6460, 621, 547, 15279, 1228, 31565, 269, 1677, 6460, 513, 8918, 1297, 547, 15279, 1228, 31565, 267, 649, 1590, 1265, 519, 10545, 1379, 540, 28465, 602, 786, 3514, 3330, 476, 30116, 269, 1269, 1626, 317, 274, 284, 30156, 277, 259, 543, 1269, 1626, 317, 273, 284, 16348, 10608, 3767, 267, 476, 16348, 13352, 883, 476, 30116, 835, 942, 865, 723, 723, 513, 835, 538, 519, 1079, 4627, 15823, 29350, 525, 1747, 269, 3767, 649, 10208, 476, 16348, 689, 476, 30116, 543, 649, 616, 2451, 609, 476, 2420, 563, 763, 1985, 7857, 547, 519, 1318, 540, 519, 1079, 4627, 15823, 3670, 525, 1747, 568, 519, 13683, 324, 839, 1747, 269, 590, 4869, 8696, 13352, 883, 476, 2420, 835, 942, 865, 649, 723, 513, 835, 538, 519, 13683, 324, 839, 1747, 269, 1269, 2420, 910, 476, 1626, 815, 476, 277, 10608, 634, 1747, 1985, 547, 519, 13683, 324, 839, 1747, 568, 519, 3283, 1747, 269, 2290, 4422, 883, 3670, 267, 3670, 2053, 865, 649, 723, 513, 3670, 538, 519, 3283, 1747, 269, 1924, 938, 3803, 2626, 568, 476, 14138, 269, 1924, 267, 1210, 31941, 338, 267, 1269, 30116, 3709, 1015, 13157, 14138, 3709, 1626, 23201 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9377, 20532, 585, 5762, 3293, 454, 1607, 2985, 2488, 782, 2009, 10096, 543, 16627, 540, 519, 2262, 5762, 3293, 454, 29662, 5287, 883, 8325, 4773, 563, 306, 5902, 883, 2516, 799, 10990, 563, 15463, 5762, 3293, 1920, 1223, 2760, 3858, 593, 4376, 563, 293, 847, 3293, 568, 606, 11633, 6512, 2813, 676, 8225, 19162, 717, 768, 534, 538, 476, 1220, 274, 269, 4813, 539, 538, 17842, 267, 1010, 1582, 3812, 5305, 7131, 7304, 1629, 334, 11331, 2552, 9564, 9539, 566, 9575, 519, 3007, 540, 3864, 6003, 667, 8817, 945, 9896, 873, 269, 2991, 519, 5305, 540, 519, 1629, 334, 717, 768, 534, 729, 8678, 676, 5482, 710, 543, 538, 476, 1220, 277, 5950, 741, 26813, 7131, 267, 8307, 5274, 3816, 1622, 269, 674, 847, 3293, 781, 3791, 5305, 267, 645, 2940, 987, 634, 1306, 1127, 267, 729, 5950, 676, 667, 8817, 543, 5450, 24227, 19475, 538, 476, 1001, 272, 563, 25456, 29941, 1299, 7151, 26402, 454, 31819, 2673, 547, 1141, 519, 19046, 7018, 729, 5762, 3293, 563, 32452, 269, 594, 1175, 5433, 1250, 2295, 6749, 15660, 1589, 621, 1522, 581, 5762, 3293, 454, 2171, 1294, 1082, 9490, 2934, 267, 649, 1294, 5347, 2127, 267, 930, 2127, 602, 616, 11024, 582, 1227, 5762, 3293, 543, 649, 1294, 1835, 11596, 540, 782, 7306, 563, 31819, 2673, 547, 1141, 519, 19046, 7018, 729, 5762, 3293, 267, 1775, 4312, 2760, 2938, 602, 2179, 540, 3196, 25116, 593, 513, 2497, 538, 1250, 4876, 563, 9515, 729, 1360, 24395, 730, 269, 2701, 8604, 547, 581, 538, 1928, 269, 2701, 2731, 5433, 602, 1200, 6186, 1185, 1044, 5762, 3293, 267, 1775, 5143, 1200, 594, 1131, 960, 593, 3478, 1200, 856, 563, 8340, 513, 8144, 585, 519, 5762, 3293, 4214, 538, 824, 4654, 912, 15675, 1776, 1893, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1401, 269, 273, 269, 275, 1627, 274, 27155, 338, 8827, 910, 19436, 13174, 4147, 476, 1015, 692, 7883, 1394, 547, 1109, 1412, 2750, 269, 273, 269, 275, 28847, 1012, 7726, 692, 2252, 519, 4642, 525, 540, 519, 9971, 692, 2330, 343, 3867, 274, 18511, 274, 1535, 3867, 273, 15396, 343, 266, 272, 2330, 616, 3230, 320, 1532, 267, 31046, 320, 12101, 282, 320, 17070, 267, 9681, 22772, 3230, 320, 2330, 30548, 3230, 321, 29634, 21581, 8827, 454, 21691, 8662, 338, 454, 2750, 476, 273, 269, 275, 1923, 7726, 476, 274, 692, 1012, 7956, 8827, 692, 1432, 568, 1634, 2496, 313, 3266, 525, 540, 519, 9971, 3230, 343, 3867, 274, 18511, 274, 1535, 3867, 273, 15396, 343, 266, 272, 2330, 616, 3230, 320, 268, 536, 267, 31046, 513, 12101, 282, 513, 17070, 9681, 1432, 568, 7164, 2496, 2330, 320, 2330, 30548, 3230, 321, 29634, 3725, 1783, 532, 1384, 5575, 5635, 519, 2016, 9971, 609, 519, 2489, 3830, 540, 519, 12945, 9971, 3230, 335, 12757, 317, 274, 348, 1341, 7117, 12757, 317, 273, 348, 1341, 678, 343, 1341, 512, 2330, 30548, 596, 786, 1205, 519, 2418, 540, 3230, 335, 267, 31046, 336, 12101, 282, 678, 2330, 30548, 3230, 339, 269, 9681, 3086, 2322, 713, 1871, 538, 519, 3830, 540, 2040, 540, 4642, 525, 543, 1587, 540, 4642, 525, 267, 596, 786, 1205, 519, 1871, 540, 3230, 320, 2330, 30548, 3230, 321, 29634, 3721, 338, 1384, 259, 335, 13375, 263, 1535, 1422, 2431, 264, 815, 2715, 343, 317, 274, 348, 910, 476, 274, 12757, 317, 273, 348, 1341, 1535, 13997, 31998, 1341, 476, 272, 6911, 313, 3266, 525, 616, 3230, 320, 910, 536, 267, 13997, 31998, 320, 12101, 282, 320, 1341, 536, 269, 9681, 4002, 9236, 519, 2016, 9971, 609, 3230, 335, 12757, 317, 274, 348, 1341, 7117, 12757, 317, 273, 348, 1341, 678, 343, 1341, 512, 9681, 933, 1205, 10484, 2330, 335, 815, 476, 272, 267, 31046, 336, 815, 910, 476, 274, 12101, 282, 337, 815, 476, 272, 2330, 30548, 1109, 2330, 339, 815, 476, 272, 9681, 11764, 540, 4642, 525, 692, 17961, 9387, 31905, 284, 513, 910, 536, 1341, 513, 1341, 513, 1341, 536, 11138, 261, 815, 1422, 2765, 13997, 910, 11513, 3667, 346, 1723, 1030, 17087, 540, 7684, 2410, 343, 317, 273, 3686, 2410, 13997, 346, 7684, 7346, 3667, 346, 1723, 1030, 17087, 540, 7684, 2410, 343, 317, 274, 3686, 348, 815, 1422, 2765, 13997, 910, 7117, 12453, 335, 27874, 3189, 2765, 13997, 910, 7117, 12453, 335, 3686, 261, 28121, 476, 274, 13997, 320, 3686, 27874, 3189, 2765, 13997, 910, 630, 910, 476, 274, 264, 12453, 272, 3686, 17851, 2715, 274, 13997, 320, 3686, 27874, 320, 13997, 31998, 261, 815, 2715, 346, 31998, 272, 17910, 9387, 10926, 7712, 519, 1871, 540, 3230, 320, 2330, 28812, 1336, 547, 581, 3230, 272, 267, 2330, 519, 4642, 525, 616, 3230, 272, 910, 536, 12101, 282, 272, 12101, 282, 272, 1341, 536, 9681, 25648, 6473, 540, 4642, 525, 692, 17961, 9387, 31905, 284, 476, 272, 13375, 263, 2715, 272, 910, 536, 348, 1422, 2431, 9385, 3847, 263, 2715, 272, 1341, 536, 348, 1422, 2431, 9385, 315, 261, 815, 1422, 2765, 13997, 910, 11513, 3667, 346, 6247, 656, 2165, 3686, 24828, 3667, 346, 1723, 1030, 17087, 540, 25452, 343, 317, 274, 3686, 11138, 261, 284, 1422, 2765, 13997, 910, 512, 12453, 335, 27874, 3189, 2765, 13997, 910, 512, 12453, 335, 3686, 17851, 2715, 272, 268, 13997, 7684, 2410, 321, 317, 273, 3686, 11138, 315, 2765, 13997, 910, 476, 272, 12453, 272, 348, 17851, 2715, 272, 268, 13997, 7684, 2410, 321, 317, 273, 3686, 11138, 272, 910, 2715, 321, 317, 273, 31905, 815, 476, 272, 11138, 272, 1341, 476, 272, 17851, 2715, 321, 317, 273, 27874, 346, 321, 317, 273, 348, 17851, 476, 273, 17910, 9387, 10926, 2330, 321, 815, 1422, 10975, 1422, 6912, 476, 273, 1547, 2330, 9747, 267, 3230, 320, 815, 476, 272, 267, 31046, 321, 815, 1422, 6912, 476, 273, 2330, 1109, 528, 1109, 2330, 268, 1422, 6912, 476, 273, 9681, 9596, 689, 519, 1655, 2979, 3610, 543, 1283, 707, 11400, 692, 1892, 14970, 835, 593, 835, 4928, 543, 8969, 21757, 454, 1892, 6657, 3211, 538, 543, 1310, 1362, 585, 12497, 9355, 454, 1892, 9608, 1242, 6437, 547, 1832, 909, 609, 1153 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 10318, 1456, 3970, 540, 513, 11186, 3830, 3070, 2016, 3355, 2783, 692, 22428, 1269, 344, 318, 272, 6025, 29408, 1269, 344, 318, 273, 6025, 7751, 543, 1269, 344, 318, 274, 6025, 7751, 616, 782, 3435, 540, 519, 11186, 3830, 609, 1114, 3355, 2175, 607, 8612, 2630, 1384, 259, 344, 318, 272, 6025, 7751, 31758, 519, 11186, 3830, 609, 3355, 2783, 1269, 344, 263, 271, 264, 815, 6567, 273, 16859, 259, 344, 318, 273, 6025, 7751, 31758, 519, 11186, 3830, 609, 3355, 2783, 1269, 344, 263, 271, 264, 815, 476, 272, 269, 276, 16859, 259, 344, 318, 274, 6025, 7751, 31758, 519, 11186, 3830, 609, 3355, 2783, 1269, 344, 263, 271, 264, 815, 6567, 273, 269, 272, 16859, 296, 993, 4280, 547, 1265, 519, 7182, 540, 1269, 344, 318, 272, 6025, 29408, 1269, 344, 318, 273, 6025, 7751, 543, 1269, 344, 318, 274, 6025, 7751, 607, 1269, 339, 259, 4485, 20581, 780, 296, 2907, 723, 11466, 3435, 1269, 344, 15871, 273, 267, 476, 271, 267, 476, 273, 259, 1141, 1269, 344, 284, 271, 259, 568, 7123, 543, 519, 1964, 616, 18633, 269, 594, 993, 2348, 8373, 609, 519, 3970, 540, 1269, 344, 318, 272, 6025, 7751, 2094, 519, 3355, 2783, 568, 3160, 547, 922, 11466, 3070, 269, 6496, 519, 3970, 2291, 585, 1269, 344, 318, 272, 6025, 7751, 286, 594, 849, 3893, 1269, 271, 259, 543, 1269, 10559, 13727, 259, 607, 7182, 585, 1269, 344, 318, 273, 6025, 7751, 543, 1269, 344, 318, 274, 6025, 7751, 6606, 269, 2549, 594, 3257, 621, 1318, 2496, 1892, 1411, 616, 1318, 585, 1269, 344, 318, 273, 6025, 7751, 543, 1269, 344, 318, 274, 6025, 30879, 1879, 1269, 344, 263, 271, 7751, 568, 606, 11466, 1448, 267, 1287, 1269, 344, 6025, 7751, 786, 581, 3586, 693, 519, 1269, 344, 263, 271, 7751, 1871, 269, 1107, 1109, 301, 747, 15614, 8734, 476, 1428, 1412, 1428, 693, 476, 278, 281, 3953, 454, 1892, 1635, 3586, 267, 798, 596, 1611, 519, 3970, 540, 1269, 344, 318, 272, 6025, 7751, 607, 1269, 339, 259, 4485, 20581, 568, 1175, 910, 273, 286, 1107, 1109, 332, 1173, 318, 665, 745, 345, 8734, 476, 1428, 1412, 1428, 693, 476, 278, 281, 3374, 454, 1892, 634, 11466, 1448, 3947, 519, 1871, 540, 1269, 344, 259, 971, 602, 4399, 2765, 346, 11276, 2410, 11459, 13157, 271, 10608, 769, 824, 1913, 267, 952, 1269, 344, 263, 271, 6661, 268, 273, 8961, 1287, 1269, 344, 6025, 6661, 268, 273, 259, 7488, 540, 1269, 339, 10608, 1107, 1109, 301, 747, 15614, 8734, 476, 1428, 1412, 1428, 693, 476, 278, 281, 4391, 454, 1892, 7937, 594, 1294, 1631, 269, 11289, 596, 256, 1107, 1109, 332, 1173, 318, 665, 745, 345, 8734, 476, 1428, 1412, 1428, 693, 476, 278, 281, 4343 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 6904, 568, 519, 13074, 4887, 538, 519, 1480, 1560, 888, 12585, 281, 590, 691, 528, 3780, 454, 2704, 328, 1162, 281, 590, 691, 528, 3780, 267, 590, 691, 16124, 267, 590, 691, 528, 3780, 630, 4134, 3711, 580, 6672, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1692, 666, 1250, 1126, 609, 513, 476, 272, 281, 272, 513, 728, 1514, 1125, 609, 9905, 693, 1153, 888, 2304, 513, 728, 666, 581, 513, 1390, 1259, 585, 513, 2875, 547, 1569, 513, 1447, 25516, 1604, 676, 2870, 8537, 13460, 543, 5885, 741, 2115, 607, 789, 2170, 9108, 609, 741, 9905, 563, 12892, 1436, 543, 7115, 616, 1079, 2101, 2188, 950, 6236, 513, 476, 272, 281, 272, 513, 728, 269, 589, 476, 1001, 271, 1353, 3370, 538, 25827, 543, 25833, 24894, 5267, 602, 936, 6748, 476, 272, 281, 272, 16948, 14445, 2209, 666, 723, 2942, 2360, 593, 1053, 267, 1519, 7679, 1359, 609, 513, 1126, 779, 2702, 547, 1106, 9263, 3347, 267, 607, 519, 4527, 540, 606, 2937, 513, 728, 666, 1711, 2168, 610, 12572, 7496, 1063, 519, 2875, 543, 741, 9905, 543, 1118, 1053, 1745, 10867, 28895, 610, 19849, 21724, 827, 2141, 2348, 606, 2937, 609, 873, 563, 4913, 267, 585, 1053, 609, 811, 1713, 1489, 2115, 267, 606, 513, 728, 666, 581, 2629, 585, 10014, 269, 769, 713, 17157, 267, 11412, 599, 3057, 4302, 345, 6941, 875, 7115, 666, 630, 663, 1058, 14386, 581, 606, 594, 7968, 3804, 267, 543, 875, 602, 666, 948, 1053, 538, 519, 1279, 2196, 563, 2252, 513, 476, 272, 281, 272, 513, 728, 568, 2556, 267, 3646, 1058, 581, 1500, 547, 7413, 1761, 2942, 4539, 269, 5729, 569, 594, 7968, 8039, 666, 581, 1031, 547, 2638, 538, 269, 16110, 6953, 531, 341, 832, 523, 6645, 721, 602, 950, 26004, 594, 7968, 338, 585, 1053, 945, 723, 476, 272, 281, 272, 513, 1938, 267, 968, 933, 1616, 547, 581, 2731, 8763, 827, 1141, 789, 3136, 547, 991, 602, 1489, 543, 519, 2127, 602, 789, 1810, 1405, 267, 865, 649, 2811, 2348, 7391, 540, 1141, 649, 666, 1376, 547, 28201, 930, 540, 602, 1489, 3034, 2690, 811, 593, 713, 1888, 267, 1294, 938, 2376, 3474, 320, 14445, 2209, 476, 6200, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 325, 19189, 815, 1193, 9272, 3488, 14707, 924, 579, 2742, 9992, 848, 281, 1412, 26895, 29328, 14061, 21639, 3890, 1948, 14816, 1427, 597, 537, 15259, 1965, 11985, 9809, 657, 24970, 552, 1244, 12251, 552, 522, 5580, 632, 1460, 320, 512, 30186, 544, 2967, 639, 1529, 334, 454, 25659, 822, 6652, 815, 9992, 848, 21858, 3890, 1948, 13985, 328, 513, 9992, 848, 7857, 527, 3385, 9087, 328, 3021, 3385, 10652, 334, 15259, 1965, 11985, 9809, 657, 1303, 571, 513, 9992, 848, 454, 329, 2863, 334, 815, 1412, 8339, 21860, 9638, 531, 822, 6652, 264, 258, 13985, 328, 513, 5493, 822, 571, 20527, 796, 5866, 5033, 1965, 11985, 9809, 657, 454, 514, 591, 810, 815, 795, 2863, 334, 11468, 18737, 272, 2639, 2745, 3488, 744, 12679, 810, 632, 15079, 20527, 15079, 29717, 8971, 27203, 2863, 334, 267, 12679, 810, 4917, 604, 12679, 810, 2652, 795, 2863, 334, 912, 825, 1820, 3488, 307, 655, 657, 19804, 5493, 6403, 526, 668, 334, 256, 5073, 12828, 912, 825, 1820, 3488, 288, 9992, 848, 7857, 3385, 562, 14244, 20527, 19804, 5493, 6403, 526, 668, 334, 256, 5073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 18601, 14146, 518, 31700, 6168, 670, 3931, 4658, 609, 8447, 24894, 692, 7072, 912, 1103, 2221, 781, 2486, 267, 5103, 3356, 1500, 2509, 5009, 4763, 543, 10014, 538, 519, 9036, 267, 1004, 609, 2168, 9124, 3136, 547, 3068, 1713, 7496, 950, 621, 2501, 547, 17034, 3160, 7694, 3255, 269, 20134, 11475, 543, 20887, 827, 741, 7207, 6414, 1851, 12820, 267, 18363, 1169, 3942, 540, 519, 7694, 4783, 269, 901, 1576, 1770, 786, 2263, 1455, 16108, 4145, 3823, 17849, 543, 20808, 5520, 609, 2168, 9124, 267, 5373, 2390, 12170, 2963, 543, 1483, 8996, 1806, 269, 3414, 2565, 2079, 543, 4901, 267, 649, 2832, 547, 16491, 596, 609, 519, 1702, 543, 1983, 2556, 547, 1711, 5963, 8537, 543, 3015, 960, 5054, 780, 296, 269, 2776, 7232, 332, 7877, 543, 28678, 23800, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8601, 9086, 593, 4763, 538, 519, 9036, 267, 1004, 609, 9124, 1869, 798, 711, 1995, 519, 1482, 1569, 547, 960, 3255, 607, 798, 741, 13413, 1510, 9124, 269, 3509, 12820, 723, 1044, 3254, 547, 22426, 25442, 2943, 2192, 1922, 15903, 5784, 827, 519, 960, 5829, 5759, 540, 1004, 609, 9124, 282, 891, 2942, 5784, 616, 1419, 513, 1267, 540, 954, 22366, 4145, 602, 15449, 622, 519, 3003, 7694, 4783, 269, 769, 713, 1957, 267, 649, 1683, 2963, 2861, 6114, 547, 476, 1556, 1808, 4145, 602, 12820, 723, 827, 1004, 609, 9124, 267, 689, 840, 15041, 7877, 543, 7127, 2833, 547, 519, 3803, 27072, 540, 519, 7694, 2078, 269, 2311, 1142, 3942, 540, 519, 7694, 4783, 267, 649, 17412, 543, 6218, 519, 4143, 12170, 2963, 543, 1683, 7840, 585, 3906, 8149, 547, 2870, 811, 2500, 267, 12581, 267, 543, 8537, 28737, 585, 782, 2043, 269, 1284, 849, 2303, 18817, 585, 2104, 1382, 563, 2690, 1082, 1004, 609, 9124, 267, 4466, 543, 24569, 960, 568, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 24894, 1315, 8447, 24894, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 589, 2241, 1982, 602, 1098, 5099, 519, 1739, 1915, 7470, 538, 1931, 547, 1820, 519, 3337, 540, 513, 2295, 692, 28186, 815, 20886, 8339, 3299, 29717, 3299, 29717, 3299, 29717, 3299, 29717, 3299, 1412, 9538, 16689, 1038, 1496, 8339, 3299, 1412, 302, 3299, 1412, 302, 3299, 29717, 3299, 29717, 3299, 1412, 9538, 16689, 1038, 18358, 302, 3299, 1412, 302, 3299, 1412, 302, 3299, 1412, 302, 3299, 29717, 3299, 1412, 9538, 16689, 1038, 18358, 302, 3299, 1412, 302, 3299, 1412, 302, 3299, 1412, 302, 3299, 1412, 302, 3299, 1412, 9538, 16689, 1038, 1496, 8339, 3299, 1412, 302, 3299, 1412, 302, 3299, 1412, 302, 3299, 1412, 302, 3299, 1412, 302, 11172, 2676, 1038, 18358, 302, 3299, 1412, 302, 3299, 1412, 302, 3299, 1412, 302, 3299, 1412, 302, 3299, 1412, 9538, 16689, 1038, 18358, 302, 3299, 1412, 302, 3299, 1412, 302, 3299, 1412, 302, 3299, 29717, 3299, 1412, 9538, 16689, 1038, 1496, 8339, 3299, 1412, 302, 3299, 1412, 302, 3299, 29717, 3299, 29717, 3299, 1412, 9538, 16689, 1038, 1496, 8339, 3299, 29717, 3299, 29717, 3299, 29717, 3299, 29717, 3299, 1412, 9538, 316, 6540, 1721, 586, 538, 2039, 12759, 14116, 5090, 314, 271, 8079, 2187, 825, 585, 1535, 538, 2039, 12759, 14116, 5090, 15892, 1038, 1820, 14116, 5090, 20572, 6012, 344, 3910, 1439, 8782, 30386, 825, 1820, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 6904, 2831, 616, 818, 6605, 16104, 543, 723, 5216, 7953, 888, 12585, 281, 19966, 1013, 1749, 454, 2704, 328, 1162, 281, 5903, 540, 7301, 1085, 23705, 687, 267, 5903, 540, 1455, 4408, 585, 1875, 1606, 14585, 335, 542, 27442, 1013, 1749, 4122, 1572, 1085, 23705, 687, 267, 19966, 1013, 8336, 267, 19966, 1013, 1749, 267, 19966, 1013, 13160, 267, 19966, 1013, 573, 267, 19966, 1013, 5866 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 1219, 14771, 4311, 267, 1347, 338, 281, 5903, 314, 1598, 8079, 9847, 703, 912, 1038, 8173, 1038, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 11415, 16327, 1833, 4882, 30055, 270, 27844, 4649, 280, 278, 27473, 268, 8618, 26690, 1790, 334, 5793, 27984, 268, 272, 1606, 10628, 7146, 27984, 5991, 6066, 3887, 553, 5006, 1532, 5476, 1676, 7888, 1606, 565, 13045, 1038, 8173, 1038, 1224, 815, 476, 271, 454, 1038, 2328, 815, 476, 271, 28329, 1038, 1247, 1224, 2999, 7003, 263, 577, 1513, 2187, 2018, 1948, 7351, 1347, 454, 2018, 1293, 815, 476, 272, 692, 2018, 1948, 5901, 3950, 540, 1482, 1347, 338, 454, 2018, 1247, 1224, 2999, 7003, 263, 577, 1513, 264, 910, 476, 272, 543, 1347, 338, 314, 1348, 316, 2652, 1347, 338, 314, 1348, 1341, 476, 272, 14158, 3546, 1293, 6834, 476, 272, 454, 3546, 1224, 6834, 476, 272, 454, 27030, 2018, 1948, 3503, 2626, 454, 2018, 1347, 338, 314, 31095, 316, 815, 1347, 338, 314, 1348, 2639, 2018, 2328, 6834, 476, 272, 454, 27030, 2018, 952, 1293, 3436, 476, 272, 912, 3546, 585, 1347, 538, 1193, 6262, 870, 2187, 7386, 1347, 338, 314, 31095, 316, 815, 1347, 454, 7386, 2328, 6834, 476, 272, 454, 27030, 2018, 1224, 6834, 476, 272, 28329, 1038, 1948, 634, 2626, 1810, 1405, 1416, 519, 2418, 602, 17523, 616, 834, 285, 2328, 4840, 1038, 2132, 2328, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 5269, 513, 1592, 540, 707, 2828, 4408, 543, 513, 1592, 540, 519, 476, 1015, 1034, 2442, 4408, 2676, 258, 2638, 547, 1294, 952, 707, 2828, 4408, 616, 1851, 519, 1034, 2442, 563, 692, 325, 12188, 5332, 1868, 815, 18358, 297, 600, 773, 3299, 1412, 294, 559, 6975, 3299, 1412, 9773, 9109, 3299, 1412, 11990, 3299, 1412, 292, 878, 3299, 1412, 305, 19563, 23300, 16647, 983, 5332, 1868, 815, 18358, 22832, 3299, 1412, 11990, 3299, 1412, 27144, 3299, 1412, 28061, 3299, 1412, 19365, 3299, 1412, 21837, 3299, 2639, 2745, 6600, 12188, 5332, 1868, 314, 274, 7481, 2745, 6600, 12188, 5332, 1868, 314, 274, 316, 538, 2442, 5332, 1868, 994, 2745, 6600, 12188, 5332, 1868, 538, 2442, 5332, 1868, 994, 16647, 983, 5332, 1868, 27133, 815, 1305, 9638, 641, 983, 5332, 1868, 994, 2745, 9638, 641, 983, 5332, 1868, 27133, 994, 2745, 3488, 268, 262, 2608, 476, 2004, 9239, 604, 2828, 5332, 1868, 314, 271, 316, 538, 2442, 5332, 1868, 912, 825, 1820, 6600, 12188, 5332, 1868, 314, 271, 3910, 1412, 529, 513, 2442, 2012, 5073, 12828, 912, 825, 1820, 6600, 12188, 5332, 1868, 314, 271, 3910, 1412, 529, 711, 513, 2442, 2012, 9538, 2020, 604, 2828, 5332, 1868, 314, 272, 316, 538, 2442, 5332, 1868, 912, 825, 1820, 6600, 12188, 5332, 1868, 314, 272, 3910, 1412, 529, 513, 2442, 2012, 269, 5073, 12828, 912, 825, 1820, 6600, 12188, 5332, 1868, 314, 272, 3910, 1412, 529, 711, 513, 2442, 2012, 9538, 2020, 604, 2828, 5332, 1868, 314, 274, 316, 538, 2442, 5332, 1868, 912, 825, 1820, 6600, 12188, 5332, 1868, 314, 274, 3910, 1412, 529, 513, 2442, 2012, 269, 5073, 12828, 912, 825, 1820, 6600, 12188, 5332, 1868, 314, 274, 3910, 1412, 529, 711, 513, 2442, 2012, 9538, 2020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8080, 547, 707, 3460, 998, 6298, 1014, 2528, 543, 6561, 256, 4653, 267, 649, 3513, 1451, 827, 1945, 1572, 834, 14551, 1239, 2437, 799, 2337, 721, 1174, 1114, 3344, 540, 1004, 781, 2729, 543, 4529, 269, 1924, 1577, 781, 4685, 1318, 883, 713, 3078, 1158, 2439, 5331, 3843, 547, 4766, 707, 5172, 4672, 8645, 8137, 1210, 1152, 2338, 269, 1411, 1522, 2161, 621, 781, 476, 274, 1085, 334, 3591, 630, 7474, 781, 7274, 14386, 540, 10217, 535, 19276, 6960, 773, 630, 4148, 2948, 267, 855, 1100, 2338, 2943, 1040, 1677, 2490, 713, 883, 2182, 1239, 267, 596, 1223, 1293, 875, 1082, 2053, 707, 1920, 13668, 602, 1880, 8137, 1282, 4832, 3275, 269, 1403, 10217, 535, 19276, 6960, 773, 5526, 476, 736, 856, 540, 476, 2004, 4672, 8645, 2395, 267, 1287, 596, 723, 930, 3579, 2182, 1239, 2439, 3086, 267, 1589, 827, 6298, 1014, 2528, 538, 4516, 269, 1215, 666, 649, 946, 2182, 1239, 1934, 286, 4270, 267, 835, 1259, 568, 676, 10203, 1919, 899, 519, 1297, 540, 6298, 1014, 15976, 4371, 1142, 1032, 610, 9477, 875, 1082, 1004, 7390, 1346, 2621, 269, 1284, 1522, 1256, 5619, 13037, 28752, 547, 1294, 952, 789, 4121, 1022, 1007, 6298, 1014, 23929, 267, 8964, 267, 610, 10346, 1765, 718, 22905, 5013, 269, 1452, 616, 1806, 540, 2182, 1239, 1317, 789, 4125, 3169, 2338, 543, 9424, 602, 948, 5862, 513, 4605, 540, 6298, 1014, 2686, 6278, 780, 2080, 616, 930, 1883, 2798, 827, 2182, 1239, 1384, 265, 2878, 301, 13246, 5093, 10434, 1239, 9388, 609, 2338, 543, 22905, 9424, 269, 3143, 8369, 610, 4606, 282, 1175, 5013, 563, 265, 2878, 15542, 783, 5093, 4595, 2182, 1239, 12346, 593, 12523, 267, 7403, 267, 543, 7422, 267, 621, 2488, 4396, 2963, 827, 3871, 610, 9259, 563, 265, 2878, 28733, 5093, 5221, 540, 922, 1445, 593, 1808, 2338, 267, 2182, 1239, 11148, 547, 4734, 2370, 4055, 585, 10539, 610, 3765, 24483, 780, 3383, 1946, 1281, 1620, 2182, 1239, 2339, 950, 4974, 6298, 1014, 2528, 286, 1635, 6313, 6405, 7194, 899, 20343, 693, 2686, 2621, 267, 519, 8560, 540, 1978, 5389, 267, 610, 824, 10230, 3466, 267, 3173, 2744, 3407, 4030, 883, 6298, 2103, 262, 2833, 543, 7418, 1369, 8225, 2486, 269, 2060, 2182, 1239, 267, 649, 666, 1732, 9787, 519, 1764, 540, 6298, 1014, 6561, 543, 8661, 922, 4797, 2208, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 938, 2413, 267, 1239, 7266, 878, 2486, 267, 1312, 4213, 543, 2043, 10709, 8185, 593, 1344, 547, 27464, 741, 3664, 269, 1809, 621, 779, 1271, 547, 8275, 602, 711, 782, 1239, 6585, 519, 1482, 1871, 610, 9355, 563, 10574, 2079, 3335, 31963, 593, 1079, 3982, 2010, 281, 2182, 1239, 543, 2571, 1239, 269, 6182, 553, 4771, 519, 16082, 1063, 891, 3029, 540, 1239, 267, 1419, 5219, 547, 607, 519, 968, 26773, 4578, 5288, 9941, 4578, 892, 7521, 267, 568, 1898, 585, 1818, 3280, 21520, 543, 2500, 5079, 563, 2171, 2461, 827, 547, 2263, 519, 26441, 540, 2182, 543, 2571, 1239, 267, 10002, 22326, 1018, 789, 1611, 267, 741, 2189, 2934, 267, 543, 875, 789, 3310, 938, 3375, 6194, 3157, 563, 272, 269, 1548, 1772, 10434, 4578, 888, 26773, 1239, 267, 1419, 1634, 607, 11050, 1239, 267, 568, 782, 827, 2338, 543, 7403, 269, 898, 779, 519, 2186, 540, 1344, 602, 596, 666, 1293, 267, 2268, 267, 543, 7747, 538, 513, 2312, 24408, 1259, 269, 901, 2882, 4376, 609, 10230, 2418, 267, 899, 6455, 2338, 267, 8907, 267, 7443, 19114, 1107, 10416, 267, 4376, 602, 596, 666, 8930, 1524, 609, 5730, 5515, 269, 10434, 1239, 568, 23610, 543, 6662, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10907, 6598, 9177, 543, 11595, 257, 607, 851, 540, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 8225, 5525, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 14854, 11434, 1948, 10472, 9074, 568, 1031, 547, 2936, 12449, 899, 5373, 5546, 476, 5897, 4449, 24541, 339, 284, 339, 31103, 11053, 31103, 14052, 11434, 1477, 23424, 815, 339, 31103, 2529, 10547, 3890, 1363, 1948, 4310, 547, 1711, 513, 5496, 1477, 567, 1477, 339, 269, 10233, 2891, 335, 1074, 8442, 25639, 1948, 3553, 519, 7990, 538, 799, 596, 530, 13860, 1294, 519, 1374, 5897, 339, 9884, 5954, 263, 274, 264, 4449, 8587, 1948, 3553, 519, 8700, 540, 519, 4050, 5897, 567, 5897, 5897, 339, 16192, 263, 3445, 3418, 339, 269, 3453, 263, 5611, 3418, 339, 269, 3724, 263, 4037, 10142, 339, 16192, 8987, 12208, 3418, 339, 269, 3453, 263, 1911, 264, 476, 5897, 339, 16192, 263, 13647, 3418, 339, 269, 3724, 263, 4037, 3418, 339, 269, 3453, 263, 5611, 10142, 258, 629, 913, 3009, 568, 519, 7954, 585, 5373, 1412, 295, 262, 27401, 5897, 339, 31103, 20216, 527, 517, 28781, 3890, 8587, 1948, 28781, 593, 519, 5496, 543, 621, 786, 2673, 14827, 517, 28781, 30775, 568, 1031, 585, 602, 3483, 24653 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 27387, 281, 9386, 543, 18448, 1106, 692, 272, 269, 12361, 9386, 543, 18448, 1106, 692, 3240, 1966, 568, 1384, 2224, 519, 1344, 3177, 547, 2328, 543, 3113, 519, 5276, 3830, 602, 3947, 519, 1297, 586, 540, 5232, 18278, 538, 519, 2474, 540, 519, 1297, 1535, 540, 5232, 17622, 780, 25075, 3660, 1344, 281, 10979, 3029, 693, 513, 2191, 339, 1155, 540, 476, 271, 595, 267, 799, 14687, 547, 513, 2837, 540, 476, 3953, 293, 269, 589, 2837, 540, 476, 1911, 290, 14687, 547, 2837, 540, 476, 18891, 293, 780, 1692, 798, 594, 4194, 519, 1966, 269, 594, 917, 602, 547, 6460, 535, 16366, 547, 524, 16364, 547, 1491, 519, 10917, 269, 538, 674, 14263, 476, 3953, 5258, 676, 476, 272, 269, 279, 692, 273, 269, 2913, 519, 1535, 14289, 2099, 519, 2837, 538, 22966, 14369, 3780, 543, 586, 14289, 2099, 519, 2837, 538, 674, 15786, 515, 842, 563, 16100, 693, 4605, 2630, 780, 763, 586, 25435, 568, 476, 3953, 1317, 585, 476, 271, 13767, 3780, 649, 723, 476, 3953, 535, 15786, 515, 842, 780, 763, 824, 1448, 568, 630, 1911, 267, 18891, 6393, 8340, 519, 9386, 2676, 24927, 912, 18891, 268, 3953, 11434, 476, 280, 454, 1366, 476, 815, 476, 4534, 454, 1911, 268, 271, 1363, 476, 276, 454, 763, 586, 25435, 568, 476, 3953, 607, 6045, 1354, 780, 13295, 267, 519, 3830, 540, 519, 1899, 568, 267, 1775, 4318, 269, 7503, 4542, 689, 13767, 3780, 547, 535, 16366, 568, 780, 344, 14352, 280, 270, 276, 32589, 266, 3953, 692, 274, 269, 8729, 594, 896, 560, 656, 875, 596, 12193, 621, 676, 1210, 519, 9386, 4542, 269, 2242, 538, 586, 10974, 936, 519, 2242, 538, 519, 1535, 10974, 267, 547, 1205, 621, 9386, 1106, 692, 14188, 1411 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 634, 2268, 540, 519, 7285, 540, 513, 6906, 616, 538, 519, 5223, 476, 273, 2433, 476, 278, 2433, 476, 1556, 269, 21474, 540, 7285, 616, 23241, 763, 2268, 540, 519, 7285, 540, 513, 6906, 616, 538, 519, 5223, 476, 273, 2433, 476, 278, 2433, 476, 1556, 269, 21474, 540, 7285, 616, 10778, 314, 288, 316, 259, 1626, 17353, 15132, 9574, 476, 6321, 17353, 15132, 9574, 476, 6434, 17353, 15132, 21456, 314, 289, 316, 259, 1240, 17353, 15132, 9574, 476, 8287, 17353, 15132, 9574, 476, 4200, 17353, 15132, 21456, 314, 290, 316, 259, 736, 17353, 15132, 9574, 476, 3583, 17353, 15132, 9574, 476, 3445, 17353, 15132, 21456, 314, 291, 316, 259, 1839, 17353, 15132, 9574, 476, 11260, 17353, 15132, 9574, 476, 10755, 17353, 15132, 10592, 7445, 10400, 346, 1240, 17353, 15132, 9574, 476, 8287, 17353, 15132, 9574, 476, 4200, 17353, 15132, 3686, 14204, 4131, 519, 2268, 540, 1614, 7285, 540, 6906, 616, 476, 273, 343, 267, 476, 278, 343, 543, 476, 1556, 343, 6606, 563, 7445, 11004, 1150, 476, 273, 343, 1341, 476, 278, 343, 1341, 476, 1556, 343, 815, 476, 5197, 17353, 15132, 21456, 259, 27784, 476, 736, 343, 815, 476, 5197, 17353, 15132, 21456, 259, 27784, 1535, 815, 1422, 2765, 346, 5197, 2410, 736, 348, 815, 476, 280, 17353, 15132, 21456, 30043, 3689, 5086, 1269, 284, 476, 273, 343, 815, 476, 273, 1422, 9392, 476, 280, 815, 476, 1240, 17353, 15132, 21456, 13553, 24234, 1269, 284, 476, 278, 343, 815, 476, 278, 1422, 9392, 476, 280, 815, 476, 8287, 17353, 15132, 21456, 23612, 24234, 1269, 284, 476, 1556, 343, 815, 476, 1556, 1422, 9392, 476, 280, 815, 476, 4200, 17353, 15132, 21456, 17798, 4781, 1496, 289, 316, 568, 2953, 2626, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 278, 281, 634, 19043, 540, 19573, 566, 543, 25021, 5455, 24583, 3000, 625, 538, 19565, 11470, 692, 1103, 519, 7706, 540, 11174, 5708, 267, 22692, 543, 3001, 909, 18428, 3180, 10373, 4644, 269, 1452, 2621, 24901, 5912, 267, 2208, 267, 543, 22920, 267, 1818, 873, 2442, 4798, 538, 1453, 781, 3332, 269, 901, 3184, 12538, 883, 519, 2956, 540, 891, 18428, 538, 11174, 5708, 267, 741, 1764, 593, 1762, 3988, 267, 543, 741, 4276, 547, 6626, 6848, 8658, 780, 4089, 476, 272, 281, 634, 10020, 540, 19573, 566, 543, 25021, 5455, 24583, 3000, 625, 538, 19565, 11470, 692, 24836, 706, 566, 543, 3001, 909, 18428, 538, 11174, 5708, 4196, 2789, 5301, 269, 1358, 21843, 9740, 267, 16287, 519, 12032, 540, 513, 5123, 538, 513, 1915, 781, 1272, 269, 1358, 849, 2099, 513, 678, 924, 540, 8574, 267, 20515, 519, 7004, 689, 6689, 547, 18273, 610, 689, 18273, 547, 15296, 269, 5015, 267, 789, 20838, 519, 1871, 540, 2069, 543, 16177, 267, 11121, 1762, 3988, 547, 11441, 585, 741, 1378, 3853, 780, 4089, 476, 273, 281, 8177, 593, 8479, 22419, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 16969, 12126, 5990, 645, 6938, 6579, 4041, 631, 2177, 3951, 3036, 454, 14157, 269, 476, 4510, 267, 3143, 269, 476, 280, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 12126, 19751, 267, 476, 1220, 272, 454, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 16969, 22526, 623, 15127, 267, 15503, 454, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 16969, 15618, 538, 13504, 2745, 267, 538, 4858, 4068, 267, 543, 593, 22101, 8291, 676, 454, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 5990, 715, 9569, 3201, 674, 3633, 2207, 9569, 5508, 5990, 19154, 18853, 454, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 16969, 27107, 290, 10790, 7838, 2207, 267, 11553, 2464, 2839, 7728, 454, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 2817, 8433, 454, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 16969, 12126, 476, 5197, 271, 9652, 9335, 454, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 12126, 22768, 267, 15930, 12126, 476, 18891, 1789, 454, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 16969, 29458, 289, 4880, 645, 7034, 281, 5291, 2517, 4178, 8542, 325, 321, 6339, 3820, 454, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 5680, 8525, 2232, 281, 4179, 2517, 1105, 633, 8542, 325, 321, 3820, 454, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 31504, 12126, 16707, 547, 519, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 32733, 1299, 18270, 725, 1315, 4033, 267, 6348, 7304, 601, 16406, 1315, 19573, 566, 543, 25021, 5455, 24583, 3000, 625, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 594, 2219, 594, 1185, 5734, 519, 13544, 13607, 950, 1250, 3659, 6700, 649, 2638, 856, 634, 966, 5435, 338, 585, 12129, 910, 513, 16681, 11634, 2006, 1097, 1435, 2282, 938, 5172, 20807, 267, 595, 12522, 1520, 686, 1738, 269, 594, 1611, 267, 2386, 267, 741, 5777, 941, 513, 3787, 14869, 630, 28462, 1789, 26834, 1070, 855, 3006, 596, 575, 27198, 1521, 586, 334, 1582, 267, 993, 597, 924, 286, 9578, 267, 789, 1185, 1390, 8039, 593, 962, 27626, 543, 25676, 3849, 6665, 528, 267, 865, 875, 3983, 1223, 621, 581, 2496, 11039, 267, 1577, 803, 2995, 586, 320, 269, 1284, 15336, 538, 24584, 513, 18241, 2370, 8819, 1886, 889, 609, 8949, 575, 13041, 543, 7874, 3028, 269, 5502, 267, 649, 1336, 6000, 11303, 676, 8631, 344, 7718, 267, 1147, 569, 7227, 560, 3530, 267, 543, 606, 2949, 642, 32079, 602, 3458, 3139, 834, 13133, 550, 1190, 19200, 1701, 1677, 1283, 621, 782, 1055, 267, 519, 1426, 729, 18657, 665, 516, 693, 1655, 267, 543, 9090, 10691, 4502, 519, 646, 11998, 3902, 11090, 269, 3733, 2848, 752, 729, 22848, 10541, 267, 543, 1810, 1405, 1256, 1205, 803, 3323, 593, 1346, 6263, 13980, 256, 772, 724, 780, 3086, 267, 1934, 2501, 519, 16168, 851, 269, 1306, 649, 941, 6028, 267, 4743, 25922, 543, 5594, 678, 5792, 1055, 267, 649, 8068, 513, 1895, 540, 2828, 10356, 1472, 513, 3349, 7404, 267, 28617, 543, 2348, 513, 6264, 2025, 942, 269, 1656, 7058, 1018, 789, 941, 4189, 286, 623, 14040, 689, 595, 12522, 1520, 686, 1738, 256, 1358, 1185, 10288, 6765, 547, 5990, 22622, 8085, 4811, 1317, 741, 4584, 344, 3659, 4769, 1405, 1616, 4376, 593, 519, 10624, 269, 1411, 1732, 3494, 649, 8678, 873, 543, 1821, 10696, 1346, 533, 11170, 553, 899, 972, 729, 1100, 14182, 269, 898, 729, 32219, 780, 300, 7394, 540, 519, 1650, 286, 1879, 1272, 3947, 596, 19790, 976, 267, 1118, 21097, 1862, 663, 1039, 642, 617, 6390, 952, 596, 1745, 899, 621, 269, 1809, 12517, 267, 2141, 3972, 707, 8937, 26756, 543, 3314, 281, 1175, 1317, 1945, 814, 513, 1164, 3902, 3085, 1405, 8209, 1611, 621, 781, 4502, 621, 269, 6884, 267, 519, 2241, 1919, 538, 1272, 3142, 721, 519, 1034, 7772, 1107, 899, 4687, 16741, 609, 2828, 1247, 1818, 1187, 540, 2879, 2393, 344, 14060, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 2080, 616, 930, 17161, 827, 513, 13962, 1384, 4067, 815, 634, 966, 5435, 338, 267, 3548, 13911, 815, 1435, 267, 3902, 305, 1052, 815, 811, 982, 11278, 1789, 267, 6075, 12773, 815, 1970, 267, 2282, 815, 595, 2378, 2946, 1520, 686, 1738, 269, 3503, 513, 4845, 602, 6257, 519, 1739, 10305, 540, 513, 13962, 563, 763, 966, 5435, 338, 568, 513, 1435, 1141, 1004, 666, 3548, 267, 855, 519, 1426, 3790, 811, 982, 11278, 1789, 267, 799, 568, 513, 2603, 540, 2724, 269, 4658, 945, 979, 972, 2161, 621, 781, 711, 1360, 1434, 267, 543, 621, 568, 2673, 547, 1776, 1747, 1572, 595, 2378, 2946, 1520, 686, 1738, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 30125, 6435, 17072, 4855, 5082, 1258, 20653, 6290, 692, 9947, 476, 1724, 628, 476, 1001, 272, 267, 476, 1321, 281, 6795, 7537, 1948, 273, 8212, 12243, 7545, 15012, 11261, 281, 9947, 476, 1001, 271, 19715, 281, 24381, 527, 3780, 24762, 281, 476, 2568, 280, 594, 6415, 711, 2386, 1141, 596, 2811, 3478, 707, 2418, 1862, 19037, 267, 713, 568, 875, 594, 1131, 723, 2944, 621, 281, 594, 786, 1101, 8263, 602, 519, 6991, 540, 519, 6475, 568, 476, 271, 950, 621, 568, 476, 1911, 271, 544, 2476, 2094, 586, 334, 1767, 621, 1412, 11034, 338, 262, 972, 269, 594, 786, 711, 979, 1472, 1210, 519, 2596, 4834, 540, 5163, 2094, 519, 10231, 568, 711, 3586, 269, 634, 3196, 9117, 593, 519, 6475, 9775, 607, 519, 3845, 9775, 543, 713, 786, 581, 513, 1483, 1928, 547, 1265, 519, 10231, 693, 1142, 543, 1169, 1448, 538, 1063, 519, 2798, 596, 1616, 547, 1205, 519, 6991, 269, 5502, 267, 621, 781, 4443, 547, 979, 1472, 1648, 4834, 269, 15783, 1648, 476, 1911, 271, 544, 2476, 689, 519, 23442, 281, 1269, 309, 815, 1422, 2765, 346, 336, 2410, 275, 19570, 315, 22668, 318, 528, 4151, 4635, 519, 2418, 602, 649, 723, 281, 1269, 309, 815, 1422, 2765, 346, 272, 2410, 275, 267, 1822, 19570, 315, 22668, 318, 334, 4151, 3767, 267, 693, 476, 1911, 544, 282, 1269, 309, 815, 1422, 2765, 346, 272, 2410, 6110, 19570, 315, 22668, 318, 334, 4151, 1656, 865, 593, 269, 634, 6991, 693, 476, 1911, 544, 568, 2016, 676, 519, 15452, 1648, 4542, 543, 519, 1689, 538, 1761, 1648, 269, 23452, 538, 18027, 815, 28150, 538, 26395, 4399, 2765, 346, 272, 2410, 6110, 19570, 315, 22668, 318, 334, 348, 910, 1422, 2765, 346, 272, 2410, 6110, 271, 19570, 315, 22668, 318, 334, 348, 815, 1422, 2765, 1321, 544, 341, 317, 273, 259, 1411, 4194, 585, 642, 269, 1677, 1205, 519, 6991, 693, 476, 1015, 544, 267, 596, 946, 281, 5291, 2517, 17218, 343, 6983, 1712, 322, 9233, 2593, 17320, 604, 7456, 622, 343, 286, 1862, 315, 2765, 1321, 260, 736, 332, 341, 317, 273, 630, 1492, 3135, 9327, 1405, 1577, 803, 2022, 513, 476, 276, 628, 3239, 1862, 910, 11607, 257, 3738, 1656, 865, 593, 269, 594, 4126, 621, 5280, 256, 13662, 281, 661, 334, 1496, 661, 27432, 562, 4454, 568, 519, 11863, 339, 2032, 540, 1863, 2230, 543, 568, 513, 1360, 1507, 1871, 269, 1703, 616, 930, 3506, 799, 751, 871, 966, 815, 737, 336, 29265, 1498, 267, 1141, 737, 815, 476, 272, 14370, 275, 7032, 661, 334, 264, 9948, 12843, 1029, 32515, 630, 294, 582, 1250, 2164, 14386, 898, 568, 4443, 547, 2149, 707, 3952, 609, 1793, 26802, 982, 547, 3382, 519, 3618, 609, 24095, 269, 3143, 835, 666, 979, 1394, 543, 1689, 513, 3983, 4098, 282, 855, 4896, 666, 1376, 1631, 543, 1711, 513, 3811, 10678, 269, 1403, 513, 1966, 666, 581, 12193, 267, 1100, 991, 547, 5855, 827, 621, 269, 1403, 621, 3112, 581, 12193, 1018, 568, 519, 946, 540, 20468, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 9717, 606, 5044, 540, 9981, 267, 1265, 519, 1101, 7508, 2318, 8870, 538, 5276, 942, 543, 3586, 2230, 563, 258, 769, 824, 1913, 267, 1265, 519, 9803, 2318, 8870, 602, 1281, 711, 2291, 538, 519, 5044, 563, 258, 634, 5044, 666, 2270, 5918, 27289, 543, 2942, 2338, 607, 1134, 563, 16482, 258, 1280, 1383, 267, 519, 3403, 1496, 274, 267, 476, 275, 267, 910, 272, 267, 476, 272, 316, 1058, 2285, 476, 273, 269, 634, 3403, 1496, 272, 267, 476, 273, 267, 476, 271, 316, 1058, 2285, 476, 274, 563, 692, 3698, 1101, 8548, 1170, 532, 318, 27168, 25225, 2187, 825, 952, 15358, 568, 7183, 912, 1038, 2132, 476, 272, 692, 825, 15358, 27133, 815, 1305, 25225, 2020, 825, 7508, 318, 27168, 815, 476, 272, 692, 825, 1247, 7508, 318, 27168, 538, 15358, 27133, 912, 1038, 7508, 318, 27168, 6834, 476, 272, 692, 825, 2132, 7508, 318, 27168, 7531, 2745, 6600, 1009, 8548, 1170, 532, 318, 27168, 8443, 274, 267, 476, 275, 267, 910, 272, 267, 476, 272, 28413, 2745, 6600, 1009, 8548, 1170, 532, 318, 27168, 8443, 272, 267, 476, 273, 267, 476, 271, 28413, 2745, 6600, 1009, 8548, 1170, 532, 318, 27168, 263, 14085, 4917, 2745, 6600, 1009, 8548, 1170, 532, 318, 27168, 8443, 28413 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9359, 513, 476, 1015, 28233, 5131, 23632, 547, 1133, 6674, 519, 9509, 5623, 454, 3963, 7689, 14136, 888, 8340, 2298, 3992, 4058, 2200, 267, 3728, 2336, 18704, 1299, 1121, 1460, 10070, 547, 12840, 563, 16391, 1125, 707, 6437, 609, 10070, 269, 14168, 2336, 5970, 942, 547, 581, 811, 3860, 1299, 17615, 609, 707, 1053, 2336, 10743, 2671, 741, 3105, 1702, 540, 513, 3099, 540, 2621, 538, 1977, 1686, 269, 1358, 616, 1142, 2016, 513, 1957, 609, 513, 1713, 2680, 593, 621, 267, 543, 6582, 2933, 883, 513, 15415, 563, 1626, 14358, 476, 2918, 20042 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 634, 6049, 678, 836, 31274, 1836, 267, 17444, 3220, 269, 8861, 4223, 1492, 9749, 2476, 689, 1200, 4555, 269, 2701, 1185, 1044, 11432, 1359, 519, 10347, 3666, 1063, 1367, 5191, 543, 6848, 5539, 950, 621, 3357, 547, 12674, 5079, 269, 1306, 606, 11763, 2068, 11285, 267, 1352, 6956, 519, 2956, 540, 6375, 3074, 267, 855, 849, 15197, 1142, 3461, 781, 13190, 780, 9515, 13603, 909, 519, 17513, 269, 834, 7804, 269, 4223, 1492, 9749, 6340, 3010, 288, 11688, 26938, 5639, 14452, 267, 834, 17098, 267, 16362, 269, 594, 4126, 594, 6415, 711, 23892, 596, 269, 898, 781, 14667, 267, 707, 8250, 781, 1153, 12016, 3010, 27880, 5612, 9937, 539, 269, 834, 1432, 5949, 12482, 10387, 1176, 23498, 1200, 11563, 6179, 3585, 269, 834, 11039, 267, 972, 781, 1044, 513, 27330, 12176, 693, 519, 10026, 1153, 269, 1284, 4312, 4857, 1614, 2665, 865, 2484, 267, 782, 1851, 796, 341, 3147, 3990, 1453, 269, 2659, 8250, 568, 4628, 6375, 1242, 267, 3884, 1405, 1352, 12482, 9288, 553, 956, 269, 6270, 513, 28824, 4576, 267, 2943, 1934, 789, 941, 1586, 267, 6849, 1776, 12176, 1813, 547, 3668, 540, 12674, 269, 8861, 5433, 513, 10006, 540, 17140, 6404, 609, 18354, 269, 1215, 1223, 3237, 786, 5944, 2322, 741, 1378, 3214, 543, 1866, 693, 1981, 286, 12984, 333, 1405, 7863, 1346, 945, 7948, 1405, 2149, 2933, 851, 540, 1373, 1480, 2496, 4537, 1136, 1055, 891, 5230, 2055, 267, 8861, 15260, 3293, 14667, 827, 1200, 8250, 781, 6669, 5638, 269, 2991, 16304, 909, 267, 1352, 7691, 713, 729, 811, 982, 1175, 513, 1857, 1072, 3390, 282, 621, 20109, 593, 13919, 267, 7881, 267, 543, 3972, 910, 15851, 4798, 602, 18796, 3408, 3564, 2564, 13746, 543, 4791, 5468, 269, 12344, 7234, 713, 16175, 1522, 948, 6521, 5380, 267, 5807, 1620, 543, 6568, 1369, 1200, 2146, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 2108, 7617, 8290, 666, 581, 18764, 1996, 547, 2569, 519, 1981, 540, 3968, 888, 2467, 616, 1896, 8290, 602, 666, 581, 18764, 1996, 547, 2569, 519, 1981, 540, 3968, 267, 1519, 1384, 272, 269, 2725, 553, 956, 454, 273, 269, 631, 7927, 454, 274, 269, 11676, 7578, 454, 275, 269, 2717, 1470, 454, 276, 269, 24430, 545, 7578, 630, 577, 1157, 523, 21479, 994, 277, 269, 22031, 22807, 589, 454, 278, 269, 22031, 22807, 645, 454, 279, 269, 5274, 13099, 650, 558, 8785, 630, 295, 11901, 994, 280, 269, 14118, 27833, 630, 22381, 994, 1015, 269, 15585, 8785, 454, 1556, 269, 631, 2287, 25497, 5632, 2068, 454, 1321, 269, 623, 12149, 25497, 5632, 2068, 454, 1724, 269, 14117, 8611, 454, 1691, 269, 24954, 692, 9616, 281, 901, 1592, 949, 4268, 1759, 593, 519, 4087, 267, 2085, 267, 543, 1072, 4567, 540, 2043, 269, 13693, 609, 513, 3782, 3318, 585, 10531, 5796, 593, 25750, 14325, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9199, 1188, 3584, 593, 12108, 25397, 3584, 602, 616, 1271, 547, 596, 454, 1103, 519, 4760, 3163, 16332, 1108, 267, 3173, 689, 667, 307, 308, 2657, 5303, 543, 10496, 10849, 2160, 538, 6601, 5443, 723, 1175, 3370, 741, 5969, 12967, 1382, 11744, 13120, 538, 7020, 540, 513, 1978, 1826, 540, 4761, 2281, 267, 1572, 570, 2281, 563, 24314, 9137, 281, 11628, 2645, 1223, 1291, 547, 1732, 2860, 6375, 8839, 301, 28692, 8121, 12087, 4041, 454, 5472, 25489, 14825, 14545, 8376, 5274, 14466, 650, 558, 8785, 630, 295, 11901, 264, 16332, 1108, 28404, 16332, 1108, 568, 519, 1353, 540, 12046, 543, 519, 20237, 6127, 540, 519, 1560, 269, 589, 3152, 1620, 540, 6375, 1108, 568, 2877, 547, 1020, 10074, 267, 1174, 3267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1215, 798, 596, 6218, 5609, 630, 7032, 270, 273, 264, 2496, 2171, 723, 547, 6218, 5609, 630, 11027, 270, 273, 2020, 2162, 8827, 692, 7562, 263, 11027, 270, 273, 264, 815, 5609, 476, 3445, 692, 5804, 519, 2596, 1702, 540, 29890, 267, 649, 9959, 602, 585, 519, 2016, 1318, 268, 22931, 6906, 267, 519, 3490, 7893, 2048, 343, 685, 4559, 543, 519, 13902, 7893, 2048, 344, 685, 4559, 780, 2171, 917, 602, 10484, 2690, 1022, 1318, 268, 22931, 6906, 7893, 609, 1022, 540, 519, 7285, 267, 20534, 3252, 3160, 547, 519, 5223, 540, 519, 3259, 540, 519, 6587, 2427, 547, 519, 3259, 540, 519, 30494, 2427, 780, 7562, 15184, 815, 586, 270, 272, 454, 9359, 7893, 519, 7285, 689, 519, 1101, 9076, 656, 543, 1439, 909, 609, 476, 3445, 4113, 950, 621, 10301, 519, 2318, 586, 14289, 269, 3767, 519, 1871, 540, 586, 3587, 476, 272, 2094, 621, 18953, 519, 18592, 540, 519, 5858, 269, 4475, 519, 1871, 540, 586, 3587, 476, 272, 780, 7562, 15184, 815, 586, 270, 272, 815, 476, 272, 270, 272, 454, 11997, 267, 5609, 476, 3445, 4110, 11224, 547, 519, 27847, 1871, 540, 476, 272, 270, 476, 272, 780, 306, 514, 476, 3445, 4113, 815, 476, 272, 692, 528, 5609, 630, 7562, 263, 11027, 270, 273, 264, 815, 5609, 476, 3445, 4113, 815, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 19467, 10490, 267, 18559, 267, 1965, 20960, 6767, 267, 803, 1470, 267, 25680, 7534, 2187, 825, 8173, 825, 10395, 2088, 798, 529, 1654, 1729, 637, 3921, 523, 15606, 900, 19804, 3331, 374, 333, 4815, 17022, 528, 630, 339, 3711, 2946, 332, 3921, 523, 5964, 1916, 825, 29185, 825, 585, 737, 538, 2039, 263, 525, 20960, 6767, 267, 25680, 7534, 1341, 476, 272, 2187, 1038, 18559, 25208, 316, 815, 589, 25208, 2639, 825, 1775, 815, 1965, 20960, 6767, 454, 825, 795, 815, 803, 1470, 1341, 476, 272, 454, 825, 585, 737, 538, 2039, 263, 525, 20960, 6767, 267, 25680, 7534, 1341, 476, 272, 2187, 1038, 952, 1775, 3436, 803, 1470, 912, 2018, 589, 25208, 316, 815, 18559, 14728, 2639, 2018, 795, 6834, 476, 272, 454, 1038, 8640, 795, 3436, 25680, 7534, 912, 2018, 589, 25208, 316, 815, 18559, 5157, 2639, 2018, 1775, 6834, 476, 272, 454, 1038, 8640, 18559, 14728, 316, 2999, 18559, 5157, 14158, 2018, 589, 25208, 316, 815, 18559, 14728, 2639, 2018, 795, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 589, 25208, 316, 815, 18559, 5157, 2639, 2018, 1775, 6834, 476, 272, 7531, 3698, 12388, 525, 677, 10490, 267, 18559, 267, 1965, 20960, 6767, 267, 25680, 7534, 2187, 825, 952, 25680, 7534, 10922, 1965, 20960, 6767, 912, 1038, 2132, 454, 825, 803, 1470, 815, 630, 525, 20960, 6767, 1341, 25680, 7534, 264, 12262, 476, 273, 454, 825, 1820, 10490, 994, 825, 1948, 18103, 6511, 513, 6305, 4275, 1558, 1228, 798, 2855, 534, 14765, 563, 825, 12388, 525, 677, 10490, 267, 18559, 267, 1965, 20960, 6767, 267, 803, 1470, 2020, 825, 1948, 18103, 6511, 513, 5302, 1495, 320, 1558, 1228, 798, 2855, 534, 14765, 563, 825, 12388, 525, 677, 10490, 267, 18559, 267, 803, 1470, 1341, 476, 272, 267, 25680, 7534, 2020, 825, 1948, 10395, 2088, 607, 5918, 553, 1558, 3547, 3921, 523, 27885, 18751, 618, 324, 563, 825, 19467, 10490, 267, 18559, 267, 1965, 20960, 6767, 267, 803, 1470, 267, 25680, 7534, 9239, 258, 1948, 4530, 320, 522, 3473, 528, 527, 15879, 563, 258, 589, 815, 4351, 4732, 2217, 263, 9792, 8987, 1015, 267, 476, 1015, 1070, 476, 1015, 994, 258, 1820, 2891, 6635, 3757, 14765, 562, 14244, 3921, 523, 5964, 281, 14307, 589, 994, 258, 18559, 815, 1496, 271, 316, 2608, 7003, 10490, 994, 258, 12388, 525, 677, 10490, 267, 18559, 267, 476, 271, 267, 7003, 10490, 264, 910, 476, 272, 994, 258, 1820, 2891, 6635, 3757, 14765, 3921, 523, 5964, 24333, 589, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2005, 729, 7152, 676, 13153, 1546, 4751, 10314, 543, 853, 584, 2993, 267, 272, 19732, 273, 543, 1866, 602, 693, 4332, 519, 1973, 1895, 540, 519, 10867, 568, 10355, 3964, 269, 28611, 267, 519, 4903, 331, 583, 514, 11077, 2408, 1354, 519, 568, 334, 268, 698, 6921, 583, 514, 1231, 543, 676, 519, 1439, 540, 519, 1101, 1032, 519, 1973, 23454, 568, 2356, 2347, 563, 763, 4527, 540, 568, 334, 268, 698, 6921, 583, 514, 1231, 538, 519, 1973, 689, 519, 16813, 559, 673, 10260, 12651, 519, 2243, 607, 547, 741, 5169, 267, 2436, 789, 616, 513, 1587, 540, 519, 1979, 11043, 2534, 540, 519, 21565, 610, 2436, 789, 723, 1044, 10299, 689, 519, 3993, 676, 1259, 540, 519, 30302, 269, 1403, 519, 568, 334, 268, 698, 6921, 583, 514, 1231, 1265, 741, 2707, 538, 519, 14774, 10009, 267, 7422, 607, 547, 741, 12556, 538, 519, 1973, 540, 519, 1007, 23899, 1131, 6961, 540, 1719, 269, 901, 7156, 3322, 711, 4805, 519, 1966, 540, 726, 659, 1581, 27978, 855, 519, 2078, 540, 568, 334, 268, 698, 6921, 583, 514, 1231, 540, 519, 10260, 1973, 547, 519, 2663, 1646, 540, 1973, 2516, 676, 519, 10867, 563, 1432, 13054, 519, 17003, 454, 15551, 18952, 8863, 269, 18869, 5025, 294, 21923, 308, 2316, 301, 27486, 5442, 5990, 21832, 5174, 3036, 301, 281, 23166, 9501, 4488, 24361, 681, 9128, 2207, 9970, 9215, 5990, 7644, 12813, 3722, 7728, 3201, 13138, 3198, 15551, 3041, 31064, 269, 2549, 808, 2598, 4132, 269, 476, 4572, 279, 282, 3607, 263, 272, 2567, 7918, 1700, 7597, 269, 8222, 281, 1015, 269, 1911, 272, 270, 1105, 335, 2664, 269, 4572, 279, 269, 25171, 1708, 4335, 29637, 4962, 454, 17357, 517, 8785, 12754, 4741, 454, 20578, 1125, 707, 808, 24717, 8416, 1995, 676, 8939, 835, 610, 811, 3584, 689, 519, 1592, 2630, 563, 8620, 513, 2123, 2272, 610, 1129, 538, 547, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 538, 519, 4884, 540, 24442, 6807, 267, 972, 5030, 1614, 1655, 2828, 3957, 7665, 267, 15039, 267, 543, 6341, 269, 1358, 6068, 4730, 1927, 543, 3695, 741, 4190, 8498, 4904, 609, 10477, 15945, 543, 8075, 269, 2290, 1554, 1247, 6972, 2282, 519, 29221, 2044, 267, 789, 8068, 1945, 9490, 910, 782, 519, 3694, 6743, 4010, 7567, 256, 4634, 811, 9490, 569, 267, 1169, 14735, 543, 2250, 787, 941, 9838, 1932, 269, 901, 729, 711, 875, 1919, 2356, 941, 538, 24442, 6807, 780, 10501, 1190, 543, 7138, 1194, 267, 519, 2468, 334, 4956, 547, 8495, 2417, 269, 1358, 14059, 6004, 269, 22823, 267, 519, 8227, 540, 519, 29221, 2044, 267, 543, 4280, 1864, 1946, 3388, 6743, 865, 2147, 269, 834, 11039, 2437, 646, 14452, 11688, 527, 14688, 267, 834, 11004, 781, 1044, 1152, 835, 18261, 3246, 721, 5820, 585, 3275, 1631, 1701, 2334, 13351, 519, 3214, 607, 9642, 1317, 24442, 6807, 2141, 1185, 1082, 14273, 12721, 1072, 1176, 547, 2709, 1585, 3681, 780, 291, 17827, 547, 1205, 547, 519, 5377, 540, 713, 9814, 267, 789, 10272, 15516, 269, 5682, 267, 741, 5172, 2257, 4116, 269, 2701, 6045, 602, 950, 6735, 11081, 1851, 4213, 267, 621, 1223, 1291, 547, 1447, 5647, 543, 5732, 2362, 5777, 1107, 713, 1523, 568, 1572, 1412, 656, 527, 6412, 18670, 9538, 19196, 1243, 547, 1451, 811, 267, 519, 1053, 4941, 547, 798, 1945, 827, 621, 269, 2060, 15516, 269, 5682, 781, 5583, 267, 789, 4362, 602, 4896, 1223, 3758, 513, 24255, 609, 519, 4972, 540, 10456, 781, 4165, 527, 6412, 10406, 952, 789, 16143, 971, 2152, 780, 293, 2683, 609, 4126, 267, 7665, 267, 15039, 267, 543, 6341, 19429, 513, 2143, 24255, 2059, 609, 782, 519, 2963, 789, 6394, 269, 1717, 267, 1310, 930, 4374, 5293, 1510, 1022, 3377, 267, 789, 4607, 513, 4484, 17548, 602, 1813, 547, 13385, 6169, 267, 1100, 2962, 1131, 581, 3144, 269, 28214, 771, 24711, 2989, 2943, 8797, 267, 789, 7691, 602, 3006, 5126, 7575, 7444, 610, 949, 711, 2097, 693, 782, 269, 1809, 1565, 827, 25710, 6412, 19374, 1500, 873, 21713, 4961, 267, 4712, 547, 1796, 909, 585, 14619, 8164, 2877, 269, 1656, 1498, 789, 4769, 1405, 3094, 713, 6370, 267, 789, 6956, 602, 1702, 3294, 729, 1379, 267, 5337, 1746, 7279, 543, 8990, 1369, 1142, 835, 540, 873, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 29205, 1367, 6800, 3758, 20286, 609, 519, 4972, 540, 10456, 3823, 1761, 25710, 6412, 19374, 888, 8133, 267, 1367, 6800, 666, 3758, 20286, 609, 519, 4972, 540, 10456, 781, 4165, 527, 6412, 10406, 3823, 1761, 25710, 6412, 19374, 269, 634, 4165, 527, 6412, 10406, 27180, 1761, 1884, 545, 558, 7065, 1438, 2853, 543, 666, 3142, 3540, 610, 7803, 11268, 3527, 1996, 3423, 2209, 269, 3117, 28366, 666, 3758, 513, 24255, 2228, 610, 676, 13875, 547, 519, 4165, 527, 6412, 10406, 781, 13646, 269, 898, 568, 1271, 585, 6800, 547, 1683, 607, 1454, 1344, 543, 2963, 607, 2009, 547, 1489, 741, 24255, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 15259, 1948, 6016, 908, 1062, 7531, 3698, 1224, 18316, 6600, 32327, 2187, 453, 335, 20094, 815, 11713, 453, 5976, 1930, 6600, 32327, 267, 1412, 337, 3299, 17683, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 453, 22610, 1899, 538, 535, 912, 4848, 14851, 1412, 417, 499, 484, 417, 497, 479, 267, 417, 481, 373, 421, 490, 351, 262, 538, 1899, 912, 15235, 453, 11666, 826, 454, 4848, 453, 4067, 267, 3902, 815, 1899, 14714, 8692, 14061, 20889, 263, 3299, 10807, 1948, 10429, 486, 31308, 375, 14826, 8147, 19540, 491, 17958, 20881, 501, 420, 503, 509, 26166, 31176, 366, 454, 4848, 453, 335, 20094, 6910, 8443, 4067, 267, 23748, 7481, 16596, 2472, 454, 258, 18777, 497, 12916, 379, 17958, 26033, 483, 420, 376, 372, 24662, 454, 3698, 3593, 318, 16769, 9638, 20094, 2187, 453, 6112, 6936, 912, 453, 453, 4067, 815, 3403, 3488, 420, 360, 489, 420, 376, 372, 24662, 417, 499, 484, 417, 497, 479, 12571, 491, 31801, 365, 281, 30386, 453, 14851, 2012, 2652, 1412, 336, 12466, 4848, 453, 19874, 454, 453, 453, 23748, 815, 3403, 3488, 420, 360, 489, 420, 376, 372, 24662, 417, 499, 484, 417, 497, 479, 417, 481, 373, 21550, 376, 281, 30386, 453, 453, 335, 20094, 6910, 8443, 4067, 267, 3902, 7481, 13537, 9638, 20094, 994, 16596, 2472, 7531, 258, 22287, 364, 24731, 19867, 478, 20069, 420, 367, 376, 420, 366, 371, 27381, 478, 421, 490, 482, 454, 3698, 1820, 7272, 20094, 9638, 20094, 2187, 22610, 1587, 538, 2472, 912, 453, 13537, 9638, 6055, 314, 271, 3910, 1412, 7511, 417, 481, 373, 21550, 376, 27384, 374, 22207, 1587, 314, 272, 20285, 258, 21382, 360, 24662, 418, 359, 498, 418, 350, 486, 454, 3698, 2328, 18316, 6600, 32327, 267, 2472, 2187, 453, 5976, 1930, 6600, 32327, 10086, 342, 3299, 16780, 5317, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 453, 453, 325, 22182, 3488, 417, 499, 484, 417, 497, 479, 267, 417, 481, 373, 421, 490, 351, 14826, 5073, 453, 22610, 533, 538, 2472, 912, 4848, 453, 325, 22182, 9638, 314, 271, 316, 1341, 1412, 10086, 1341, 533, 314, 272, 316, 1341, 1412, 315, 333, 17210, 258, 9185, 18777, 478, 9463, 500, 418, 357, 503, 421, 510, 511, 10951, 481, 11590, 480, 419, 351, 376, 8147, 417, 379, 483, 421, 510, 486, 12916, 379, 17958, 583, 325, 268, 279, 21382, 360, 24662, 454, 258, 476, 12916, 484, 18777, 478, 9463, 500, 418, 30904, 18263, 509, 28884, 17958, 583, 325, 268, 279, 8147, 1410, 4897, 476, 28884, 23523, 508, 10574, 13127, 490, 363, 24662, 8147, 421, 479, 372, 418, 497, 485, 583, 325, 268, 279, 4970, 355, 12916, 379, 17958, 20881, 501, 420, 503, 509, 417, 479, 504, 26166, 31176, 366, 7531, 3698, 1292, 10031, 453, 16344, 17575, 815, 1412, 335, 20094, 27406, 7055, 14851, 15259, 29624, 18994, 12803, 6600, 32327, 2567, 1948, 418, 359, 351, 21382, 509, 418, 359, 498, 418, 350, 486, 21928, 21251, 21928, 454, 453, 13537, 3488, 19867, 378, 28996, 418, 359, 498, 418, 350, 486, 29072, 5073, 453, 453, 335, 20094, 815, 1224, 18316, 6600, 32327, 994, 28432, 912, 453, 13537, 3488, 19867, 378, 21251, 28996, 418, 359, 498, 418, 350, 486, 1862, 17210, 453, 335, 20094, 815, 3593, 318, 16769, 9638, 20094, 994, 13537, 7272, 20094, 9638, 20094, 994, 453, 31095, 18316, 3488, 335, 20094, 27406, 3299, 335, 20094, 2020, 10852, 10797, 19638, 7531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 30265, 29646, 949, 1376, 5009, 606, 968, 288, 26894, 16654, 892, 2203, 540, 1646, 585, 519, 3021, 520, 626, 8513, 540, 18491, 1941, 334, 11860, 541, 629, 12112, 563, 19322, 664, 267, 540, 1576, 267, 1101, 32519, 5245, 538, 519, 3735, 476, 9965, 271, 338, 609, 9635, 16041, 609, 7890, 20903, 338, 269, 634, 946, 540, 20903, 4074, 729, 2938, 676, 3703, 8387, 607, 513, 14949, 4244, 547, 8474, 585, 2870, 519, 11397, 12733, 779, 5989, 563, 14503, 4770, 4464, 547, 519, 1459, 267, 1876, 16234, 538, 962, 699, 7079, 267, 519, 29515, 3854, 267, 616, 4397, 547, 2253, 7521, 538, 519, 2282, 2104, 593, 513, 3915, 602, 1131, 2285, 3043, 2275, 20683, 20737, 519, 4781, 540, 7674, 942, 538, 7890, 610, 759, 9116, 1782, 538, 968, 16451, 11182, 2223, 513, 2165, 602, 1082, 18433, 2103, 3494, 4016, 5631, 547, 10127, 629, 12112, 269, 634, 3021, 520, 626, 8513, 13264, 1863, 540, 29494, 13568, 779, 1852, 267, 609, 962, 699, 7079, 779, 6351, 267, 538, 519, 2038, 476, 1960, 271, 338, 269, 27557, 2094, 1287, 547, 3914, 513, 2797, 11175, 1063, 18433, 807, 543, 29494, 13568, 723, 1831, 26106, 655, 730, 563, 2414, 1224, 519, 2407, 1650, 454, 300, 926, 13860, 717, 3419, 800, 534, 568, 513, 28479, 766, 27680, 1759, 538, 962, 699, 7079, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 11133, 1499, 815, 1496, 272, 267, 476, 277, 267, 476, 279, 267, 476, 272, 267, 476, 273, 267, 476, 272, 267, 476, 276, 267, 476, 277, 2639, 2745, 2891, 19152, 4986, 547, 16718, 15419, 2745, 3799, 13246, 994, 6112, 6936, 912, 825, 562, 815, 3403, 2891, 11767, 513, 1297, 281, 19515, 825, 1293, 815, 476, 271, 22562, 825, 2119, 912, 1038, 562, 815, 703, 3799, 994, 1038, 585, 1775, 538, 2338, 912, 2018, 952, 1775, 2652, 562, 912, 3546, 1293, 6834, 476, 272, 454, 825, 4849, 912, 1038, 2736, 692, 825, 1820, 3799, 267, 834, 1952, 8986, 538, 1250, 1592, 2580, 1293, 267, 834, 9392, 15419, 8931, 672, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8196, 13261, 7688, 2861, 1565, 547, 1353, 713, 1888, 5488, 543, 811, 3927, 780, 258, 17781, 543, 31753, 692, 763, 3845, 1269, 323, 259, 1063, 1079, 2798, 18159, 343, 11971, 7751, 543, 18159, 343, 318, 271, 11971, 318, 271, 7751, 568, 3230, 323, 315, 15927, 9230, 343, 11971, 32140, 343, 318, 271, 11971, 318, 271, 9385, 15927, 264, 815, 1422, 6912, 18950, 343, 14870, 318, 271, 8203, 273, 23444, 344, 3917, 318, 271, 8203, 273, 20467, 9681, 763, 3830, 540, 513, 5858, 1298, 1042, 693, 18159, 343, 318, 271, 11971, 318, 271, 7751, 609, 8953, 1269, 337, 315, 25885, 476, 271, 259, 568, 30967, 343, 14870, 318, 271, 8203, 273, 23444, 344, 3917, 318, 271, 8203, 273, 815, 678, 317, 273, 269, 2330, 898, 5161, 540, 782, 519, 2798, 602, 723, 513, 3845, 1269, 337, 259, 547, 519, 8998, 267, 2094, 519, 1657, 3961, 666, 581, 2854, 607, 1269, 323, 315, 15927, 9230, 343, 11971, 32140, 343, 318, 271, 21726, 318, 271, 9385, 15927, 264, 815, 678, 16859, 763, 3830, 540, 606, 31753, 1298, 1042, 693, 18159, 343, 318, 271, 11971, 318, 271, 7751, 609, 8953, 1269, 320, 259, 543, 1269, 321, 259, 568, 6695, 2765, 18950, 343, 14870, 318, 271, 8203, 273, 2410, 320, 317, 273, 23180, 2765, 18950, 344, 3917, 318, 271, 8203, 273, 2410, 321, 317, 273, 348, 815, 476, 272, 9681, 763, 31753, 10596, 998, 519, 2798, 18159, 343, 318, 271, 315, 10975, 513, 11971, 318, 271, 7751, 543, 18159, 343, 318, 271, 11971, 318, 271, 315, 10975, 536, 7751, 780, 2304, 31753, 568, 519, 1267, 540, 8920, 908, 513, 5858, 540, 8953, 476, 272, 676, 513, 5223, 540, 1269, 320, 259, 2059, 519, 1269, 343, 27572, 9471, 543, 513, 5223, 540, 1269, 321, 259, 2059, 519, 1269, 344, 27572, 9471, 780, 290, 22511, 630, 288, 264, 543, 31753, 630, 289, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1805, 1157, 518, 3883, 910, 6258, 6168, 9605, 8881, 454, 303, 3174, 5384, 281, 476, 272, 11554, 17963, 454, 790, 8881, 568, 513, 2565, 3992, 585, 3025, 547, 1451, 1256, 1453, 269, 5272, 1032, 9118, 11642, 1223, 581, 15286, 676, 1739, 930, 5363, 4388, 269, 2060, 713, 6258, 6168, 9605, 8881, 25529, 518, 3883, 1453, 1451, 827, 8673, 22572, 543, 875, 5906, 3595, 666, 581, 269, 3171, 520, 1005, 513, 2407, 2681, 3382, 513, 2985, 540, 2407, 2681, 29654, 585, 946, 2429, 519, 1433, 543, 476, 279, 3817, 540, 7801, 1299, 2238, 269, 30318, 585, 1453, 6502, 476, 274, 543, 909, 563, 268, 27484, 281, 9605, 8881, 454, 268, 17435, 5014, 281, 476, 279, 257, 1535, 476, 1015, 269, 276, 4840, 268, 8525, 4032, 281, 476, 279, 3817, 7132, 29654, 454, 268, 6520, 16186, 281, 476, 274, 910, 1556, 454, 268, 11910, 835, 540, 938, 10055, 2494, 6162, 693, 630, 279, 6507, 264, 476, 279, 4391, 268, 4817, 277, 280, 585, 3606, 1344, 3823, 29501, 532, 593, 7801, 2835, 269, 7490, 1450, 606, 3606, 2947, 2395, 585, 11288, 952, 3478, 29501, 532, 563, 31863, 13870, 5384, 454, 272, 11554, 17963, 454, 300, 755, 581, 10288, 538, 1213, 906, 540, 476, 10219 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10000, 11535, 623, 2287, 330, 27979, 3223, 752, 339, 604, 534, 5617, 1690, 541, 590, 529, 11445, 22398, 553, 476, 275, 7843, 320, 476, 279, 631, 1263, 30516, 31703, 7844, 9906, 12243, 19793, 22777, 10406, 454, 1607, 1353, 6663, 547, 3313, 2436, 519, 5254, 4696, 2203, 666, 2333, 2875, 1437, 8864, 269, 901, 1353, 1031, 15858, 11059, 3194, 630, 8976, 298, 264, 799, 15538, 540, 1079, 9979, 269, 3962, 4783, 5161, 540, 1079, 11401, 269, 634, 5396, 538, 519, 1353, 941, 3446, 10001, 1053, 540, 12676, 301, 10127, 836, 3022, 836, 2698, 532, 476, 1556, 1053, 9967, 540, 476, 280, 8695, 543, 476, 273, 6690, 269, 634, 1239, 4015, 2409, 1031, 941, 11042, 267, 8343, 543, 12319, 269, 5254, 4696, 630, 22923, 12243, 19793, 22777, 10406, 264, 2203, 2668, 609, 5933, 476, 272, 264, 1230, 3272, 532, 3853, 543, 8404, 267, 476, 273, 264, 6828, 6498, 267, 476, 274, 264, 4804, 2238, 538, 6887, 267, 476, 275, 264, 10572, 543, 1895, 12587, 267, 476, 276, 264, 16214, 543, 3932, 269, 634, 3498, 540, 519, 5254, 4696, 630, 30700, 2319, 9740, 6498, 264, 2203, 568, 1360, 5078, 547, 581, 4294, 538, 10026, 3506, 269, 9122, 593, 7422, 827, 2875, 1437, 8864, 1210, 519, 5254, 4696, 630, 30700, 2319, 9740, 6498, 264, 2203, 538, 519, 840, 268, 12860, 267, 519, 3328, 6871, 729, 476, 4366, 269, 276, 10065, 18888, 594, 1205, 513, 6871, 540, 476, 6872, 269, 280, 260, 543, 4783, 4083, 4991, 513, 6871, 540, 476, 10037, 269, 4037, 9077, 865, 519, 5254, 4696, 630, 30700, 2319, 9740, 6498, 264, 2203, 568, 1360, 1134, 1031, 547, 2333, 2875, 1437, 8864, 3976, 519, 1382, 8367, 568, 7608, 269, 9122, 593, 7422, 689, 519, 6388, 540, 4783, 594, 1565, 4991, 606, 3328, 6871, 540, 476, 7761, 269, 280, 10065, 769, 4783, 4083, 3893, 606, 3328, 6060, 540, 476, 3445, 269, 276, 10065 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 13053, 4521, 781, 540, 5163, 2243, 692, 272, 269, 3057, 476, 1240, 267, 476, 1001, 273, 692, 2162, 590, 7159, 4821, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 454, 763, 6991, 540, 1439, 1412, 288, 262, 540, 14461, 11425, 5116, 1063, 1079, 5347, 7299, 6821, 7575, 609, 6991, 1412, 340, 262, 2059, 7299, 4287, 269, 4855, 856, 519, 6991, 540, 1439, 1412, 289, 262, 540, 602, 11425, 267, 11425, 2141, 3788, 538, 3346, 609, 519, 7299, 6821, 780, 273, 269, 31999, 4834, 692, 274, 269, 634, 3801, 693, 513, 3070, 454, 296, 723, 1100, 2856, 1141, 547, 1376, 689, 563, 19675, 1775, 1491, 519, 5057, 540, 1412, 340, 262, 2059, 519, 11425, 286, 1809, 952, 865, 267, 1287, 1946, 1058, 1775, 798, 621, 2496, 273, 269, 3057, 476, 1240, 267, 476, 1001, 273, 692, 2162, 678, 331, 12500, 1002, 692, 4263, 1022, 8216, 267, 952, 1535, 543, 586, 616, 519, 9883, 540, 645, 543, 589, 689, 519, 5377, 540, 519, 3774, 267, 543, 700, 568, 519, 3259, 540, 519, 11425, 9474, 267, 1287, 1018, 568, 519, 6935, 1063, 1535, 2073, 586, 543, 700, 2496, 274, 269, 3057, 476, 1240, 267, 476, 1001, 273, 692, 2162, 590, 7159, 4821, 692, 2330, 299, 7807, 6912, 12757, 317, 273, 20742, 317, 273, 28021, 3719, 875, 713, 6935, 1131, 948, 803, 4194, 519, 1966, 2496, 8310, 12995, 281, 3057, 476, 1240, 267, 476, 1001, 273, 454, 275, 269, 3057, 476, 1240, 267, 476, 1001, 273, 692, 2162, 4757, 534, 28485, 692, 305, 331, 11065, 1002, 814, 6700, 513, 2731, 1434, 1505, 780, 5194, 1505, 568, 602, 519, 3448, 6991, 540, 519, 1079, 7475, 2059, 519, 11425, 1058, 581, 476, 271, 563, 1607, 568, 1317, 952, 972, 729, 3448, 6991, 2059, 519, 11425, 1063, 519, 7475, 2073, 1287, 519, 11425, 1131, 14771, 270, 13717, 622, 563, 3719, 649, 917, 519, 11425, 568, 14461, 2529, 334, 882, 6991, 1058, 581, 476, 271, 780, 276, 269, 3057, 476, 1240, 267, 476, 1001, 273, 692, 2162, 4757, 534, 28485, 692, 8794, 678, 331, 269, 645, 1002, 338, 1505, 607, 579, 1767, 700, 317, 273, 815, 1535, 317, 273, 266, 586, 317, 273, 692, 17843, 5573, 519, 3830, 563, 1432, 568, 546, 331, 7933, 339, 267, 15848, 7933, 339, 543, 10085, 7933, 339, 692, 277, 269, 3057, 476, 1240, 267, 476, 1001, 273, 692, 2162, 590, 7159, 4821, 692, 2252, 1775, 16174, 519, 3830, 563, 323, 331, 7933, 339, 568, 4642, 1317, 972, 568, 1100, 1689, 538, 519, 3259, 540, 11425, 607, 519, 942, 10596, 563, 11459, 7933, 339, 568, 519, 8880, 6991, 540, 1448, 645, 563, 11276, 7933, 339, 568, 1412, 340, 262, 780, 12552, 585, 519, 948, 267, 1775, 723, 6956, 875, 547, 4194, 713, 1966, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 3883, 853, 20672, 30038, 26856, 1107, 634, 21756, 609, 519, 22900, 570, 16201, 334, 543, 634, 21756, 5808, 918, 17673, 519, 24125, 1115, 685, 29321, 454, 12585, 281, 634, 21756, 5808, 7591, 539, 609, 9605, 454, 2704, 328, 1162, 281, 634, 21756, 5808, 7591, 539, 2060, 9605, 267, 21756, 945, 5129, 609, 3595, 267, 634, 21756, 5808, 7591, 539, 609, 9605, 267, 674, 5585, 534, 1474, 682, 330, 974, 1199, 7800, 523, 267, 570, 294, 310, 303, 310, 293, 267, 17435, 5014, 538, 9119, 267, 700, 269, 595, 269, 3474, 3534, 738, 267, 12138, 2098, 531, 659, 1156, 14150 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 4351, 1104, 695, 28984, 454, 5228, 5299, 1104, 5299, 267, 2620, 32476, 692, 258, 634, 695, 28984, 1599, 814, 1100, 2132, 1871, 267, 855, 695, 4428, 956, 519, 3688, 538, 519, 12055, 762, 1843, 692, 3333, 25891, 8217, 815, 22373, 1952, 956, 2580, 834, 1729, 850, 339, 7433, 2580, 834, 292, 1375, 338, 2580, 834, 294, 636, 2580, 834, 327, 13377, 2580, 834, 14653, 323, 9233, 257, 6540, 258, 7151, 540, 621, 13059, 7183, 912, 2745, 263, 3333, 28984, 263, 3333, 25891, 8217, 11723, 258, 1809, 621, 814, 1869, 2944, 922, 2816, 912, 2745, 263, 3333, 25891, 8217, 2020, 258, 1403, 972, 568, 513, 991, 547, 2226, 1931, 538, 519, 3312, 1592, 596, 666, 912, 743, 821, 815, 10918, 8217, 6983, 4878, 3890, 1948, 8307, 1568, 593, 1592, 3615, 692, 258, 2107, 912, 743, 821, 815, 5299, 263, 3333, 25891, 8217, 9239, 258, 901, 786, 1152, 2132, 513, 13719, 5299, 952, 596, 991, 513, 2620, 5299, 912, 743, 821, 815, 2620, 32476, 263, 743, 821, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 21637, 7844, 590, 4456, 454, 763, 3427, 4204, 10241, 7844, 630, 306, 4456, 264, 7153, 689, 606, 5216, 4458, 1382, 11450, 1063, 12200, 689, 519, 2160, 540, 17857, 543, 519, 17857, 4975, 267, 17857, 630, 4785, 291, 476, 4335, 264, 3427, 10588, 269, 634, 1382, 267, 799, 19411, 730, 538, 476, 1220, 277, 267, 729, 9619, 547, 1079, 2055, 281, 476, 272, 264, 666, 2489, 543, 2027, 2069, 581, 5916, 538, 513, 6073, 5812, 609, 5313, 543, 1533, 1876, 543, 4294, 538, 971, 513, 1259, 602, 782, 1053, 786, 4324, 689, 519, 2040, 540, 782, 2139, 1153, 2200, 286, 543, 476, 273, 264, 666, 1153, 4204, 2318, 8965, 7459, 543, 1489, 630, 14684, 303, 289, 3041, 264, 1831, 513, 9920, 585, 4657, 1153, 2528, 12462, 16780, 738, 4851, 14615, 538, 513, 1259, 602, 2164, 538, 2799, 4081, 9740, 585, 782, 1053, 267, 782, 1016, 25364, 286, 13518, 540, 713, 4674, 729, 3370, 538, 513, 3126, 540, 4930, 538, 3621, 13746, 543, 13604, 24298, 538, 1079, 2487, 2835, 281, 590, 841, 528, 267, 654, 1421, 14480, 331, 777, 267, 717, 1421, 590, 1872, 2967, 267, 717, 1421, 1299, 9710, 1676, 267, 681, 269, 630, 1220, 280, 1040, 18361, 540, 2318, 2623, 1489, 269, 1715, 3840, 281, 22219, 282, 543, 590, 841, 528, 267, 654, 269, 630, 1220, 280, 1040, 10435, 681, 2316, 960, 269, 5842, 12770, 267, 11404, 281, 21280, 8124, 5174, 817, 563, 2691, 590, 4456, 729, 29633, 547, 24497, 839, 6229, 538, 5101, 6022, 334, 1325, 1729, 543, 547, 1715, 20252, 267, 1153, 4204, 3210, 547, 6304, 630, 305, 2316, 264, 729, 3773, 607, 513, 13057, 5943, 585, 6044, 269, 589, 2146, 3506, 5943, 729, 849, 3773, 547, 7794, 3506, 685, 3347, 609, 741, 2950, 543, 3885, 269, 634, 590, 4456, 5811, 3590, 630, 306, 4456, 3198, 264, 729, 2919, 538, 476, 1220, 273, 547, 7447, 519, 535, 23474, 936, 942, 609, 799, 590, 4456, 568, 8045, 538, 1142, 10283, 1153, 269, 901, 1907, 23384, 2618, 6248, 2079, 1063, 476, 1220, 273, 543, 476, 1220, 278, 543, 568, 1631, 2808, 547, 581, 6325, 543, 4570, 585, 922, 5301, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4910, 2700, 538, 3127, 814, 1044, 4122, 6353, 676, 32593, 550, 12485, 585, 5553, 269, 8575, 32257, 19413, 2442, 1242, 713, 32593, 775, 11451, 543, 22579, 519, 2165, 267, 968, 338, 520, 344, 27558, 3873, 2223, 513, 1106, 540, 32593, 775, 4187, 538, 1747, 540, 1210, 3196, 607, 513, 2797, 14049, 269, 634, 932, 760, 14150, 11873, 2501, 689, 519, 2262, 267, 968, 577, 760, 14150, 2223, 799, 1797, 547, 29751, 610, 547, 804, 532, 547, 269, 4438, 519, 476, 3192, 271, 338, 6917, 27142, 4371, 593, 547, 4054, 607, 513, 1259, 547, 13889, 3529, 535, 2454, 538, 4525, 267, 16113, 538, 31579, 541, 21423, 563, 300, 2129, 663, 553, 10127, 600, 577, 663, 19413, 267, 28020, 1634, 607, 8575, 32257, 630, 24030, 1606, 537, 1194, 264, 19413, 267, 568, 1419, 20295, 607, 519, 6205, 540, 3127, 779, 7115, 3350, 543, 519, 4651, 540, 32593, 775, 269, 634, 17865, 9045, 344, 27558, 3873, 267, 3366, 676, 19413, 267, 568, 13604, 6444, 607, 519, 7432, 1448, 538, 519, 4095, 7115, 3350, 543, 519, 4090, 693, 799, 19413, 779, 2259, 540, 3540, 27136, 17171, 6591, 8560, 563, 1103, 4864, 476, 3707, 273, 267, 19413, 28020, 29064, 519, 1913, 968, 2171, 4927, 2901, 1863, 3127, 610, 5884, 538, 519, 3801, 267, 649, 4927, 711, 2661, 547, 1294, 519, 10419, 6672, 540, 938, 8474, 3034, 763, 17865, 4728, 729, 835, 540, 519, 1034, 4583, 2038, 6411, 540, 3540, 27136, 17171, 267, 3366, 676, 32593, 775, 6205, 8575, 32257, 19413, 607, 851, 540, 3127, 779, 13889, 547, 2744, 5191, 689, 519, 3703, 269, 769, 476, 6642, 273, 267, 519, 3703, 2229, 8045, 519, 17865, 2920, 799, 19275, 12075, 689, 10655, 610, 9513, 6070, 267, 16550, 873, 547, 4444, 6070, 689, 519, 3703, 3079, 563, 30538, 32257, 19413, 568, 606, 4095, 15818, 267, 22267, 267, 1514, 19191, 267, 543, 5856, 945, 2968, 519, 6205, 540, 519, 28929, 3350, 1996, 3703, 4341, 538, 3127, 269, 3571, 14985, 540, 32593, 550, 13889, 630, 338, 520, 344, 27558, 3873, 264, 543, 946, 540, 519, 4984, 6240, 540, 513, 327, 15501, 320, 607, 513, 1907, 540, 12560, 13889, 2968, 519, 2203, 585, 2104, 1514, 5322, 1472, 519, 1158, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 14171, 513, 5569, 607, 606, 4661, 543, 4159, 519, 5022, 18807, 267, 835, 829, 1899, 454, 258, 3773, 519, 3803, 23651, 538, 1063, 4534, 692, 3698, 18807, 30415, 26855, 2187, 825, 4994, 815, 476, 271, 454, 825, 1007, 318, 815, 1412, 7055, 825, 1820, 1412, 734, 7055, 825, 1247, 4994, 2999, 7003, 30415, 26855, 2187, 1038, 1007, 318, 815, 1007, 318, 1341, 5569, 26855, 15631, 272, 268, 8161, 2639, 1038, 1820, 5569, 26855, 15631, 272, 268, 8161, 2639, 1038, 4994, 815, 4994, 1341, 476, 272, 454, 1038, 1948, 1820, 1007, 29390, 825, 1820, 1412, 734, 7055, 825, 1820, 1007, 29390, 825, 1820, 1412, 734, 28847, 3724, 1189, 9230, 3863, 17750, 3488, 11767, 513, 5569, 547, 2328, 23651, 281, 1412, 21875 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 290, 2967, 267, 7705, 630, 18662, 281, 674, 599, 8291, 6807, 4400, 3427, 994, 19859, 268, 270, 333, 8457, 3613, 19099, 7252, 538, 2470, 8300, 1082, 5969, 12967, 3156, 269, 932, 877, 548, 517, 2960, 3568, 8465, 2890, 268, 270, 333, 8457, 3613, 23461, 602, 666, 581, 22762, 29182, 22934, 538, 3210, 547, 1604, 547, 1711, 1114, 4778, 269, 27837, 676, 669, 877, 548, 976, 267, 713, 1382, 6212, 593, 5958, 908, 8465, 8280, 328, 268, 749, 760, 810, 10537, 2890, 268, 270, 333, 8457, 268, 32440, 602, 581, 1031, 538, 513, 1279, 3856, 1788, 585, 2681, 574, 13011, 8833, 15392, 269, 2776, 322, 1047, 21753, 540, 476, 274, 291, 2890, 268, 270, 333, 8457, 3613, 23461, 267, 2523, 8465, 3889, 267, 568, 2352, 1813, 547, 519, 1507, 4336, 269, 1677, 2232, 713, 4161, 267, 513, 1079, 14428, 582, 517, 12776, 2762, 1062, 729, 1031, 547, 5958, 622, 513, 4487, 609, 2890, 268, 270, 333, 8457, 1790, 650, 1513, 269, 589, 1982, 729, 2854, 547, 1852, 519, 8955, 6724, 540, 519, 1062, 547, 3132, 513, 3099, 540, 22225, 7306, 269, 3973, 267, 513, 8465, 12249, 729, 5641, 936, 519, 4487, 547, 1711, 8465, 2890, 268, 270, 333, 8457, 268, 32440, 269, 2991, 21753, 267, 513, 476, 274, 291, 8955, 1606, 4754, 940, 17209, 729, 1031, 547, 3489, 519, 2627, 4463, 7851, 540, 519, 5439, 269, 1677, 7561, 1349, 2497, 10155, 1239, 689, 7366, 540, 2627, 4463, 7851, 267, 513, 30731, 1982, 729, 2919, 269, 589, 2203, 729, 2813, 1210, 808, 6573, 3301, 547, 3715, 519, 2078, 1063, 519, 1184, 6724, 543, 519, 3803, 2497, 7516, 269, 634, 1353, 9672, 602, 2362, 8955, 7060, 543, 3476, 4598, 2053, 3132, 3677, 3889, 267, 607, 4397, 269, 21624, 4205, 1063, 519, 1184, 6724, 941, 849, 7000, 269, 634, 6323, 540, 1079, 14428, 582, 517, 12776, 2762, 729, 1031, 547, 2491, 4767, 9259, 269, 901, 1353, 6087, 2681, 574, 13011, 8833, 8596, 609, 5393, 1164, 21368, 602, 1223, 581, 1031, 585, 1591, 1646, 5464, 543, 824, 5969, 12967, 3156, 538, 1082, 4610, 269, 5015, 267, 519, 2919, 21753, 3157, 267, 30731, 1982, 267, 543, 808, 6573, 2203, 666, 849, 581, 9862, 585, 2870, 2890, 268, 270, 333, 8457, 3613, 23461, 585, 824, 3156, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 14822, 11135, 540, 519, 7734, 630, 15477, 15477, 264, 2501, 547, 6489, 344, 5211, 16504, 2336, 1432, 568, 28267, 15477, 888, 15477, 15477, 568, 513, 1533, 4204, 17319, 2542, 8404, 1982, 269, 4841, 267, 7488, 540, 2702, 267, 616, 6534, 547, 3332, 8204, 513, 3099, 540, 5339, 6163, 543, 16752, 269, 28267, 15477, 779, 5692, 568, 547, 5000, 1053, 547, 22962, 741, 2542, 4690, 267, 2333, 2542, 8223, 267, 3895, 4081, 17284, 267, 543, 547, 3895, 18756, 1565, 543, 16542, 1851, 1053, 563, 5938, 4461, 2874, 540, 476, 275, 2818, 630, 5976, 606, 18593, 14595, 4759, 264, 602, 2671, 519, 5539, 540, 2542, 782, 519, 2835, 7396, 2630, 269, 1284, 4363, 1142, 2875, 14509, 693, 2547, 476, 275, 1114, 10643, 543, 8357, 3278, 519, 4589, 262, 4408, 543, 1433, 10643, 4010, 607, 789, 2408, 593, 519, 2835, 269, 6657, 12959, 786, 2253, 538, 5130, 563, 13425, 856, 713, 3095, 547, 513, 22588, 15937, 11135, 538, 476, 1001, 279, 269, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 868, 307, 810, 295, 339, 294, 26950, 326, 454, 15477, 15477, 568, 513, 2875, 21445, 2534, 269, 634, 1367, 6887, 1544, 267, 10891, 267, 543, 1224, 256, 5269, 2386, 547, 2097, 909, 609, 513, 3860, 2319, 2012, 269, 15516, 269, 2405, 601, 543, 6004, 269, 3223, 1030, 518, 616, 1934, 585, 5583, 543, 1489, 563, 265, 2467, 568, 1100, 5279, 547, 7119, 543, 2259, 12959, 2253, 538, 5130, 563, 2080, 616, 519, 8638, 540, 2835, 585, 713, 1032, 912, 310, 3918, 814, 12349, 476, 275, 12215, 540, 1142, 1433, 269, 3399, 2542, 1631, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 476, 2641, 31560, 9924, 8563, 3264, 13150, 4138, 21660, 16044, 491, 7549, 13077, 4709, 11714, 4736, 3264, 29824, 3378, 13150, 9924, 3264, 24893, 25986, 20977, 16068, 4344, 476, 272, 18194, 3378, 476, 1911, 454, 16482, 3698, 6305, 5332, 13246, 6357, 2187, 825, 6305, 5332, 10179, 8217, 815, 29129, 825, 585, 1775, 538, 2039, 263, 272, 267, 536, 266, 272, 2187, 1038, 585, 561, 538, 2039, 263, 273, 267, 1775, 17107, 2018, 952, 1775, 260, 331, 2525, 271, 912, 3546, 2736, 692, 1038, 3116, 912, 2018, 6305, 5332, 10179, 8217, 6910, 9217, 994, 825, 2132, 6305, 5332, 10179, 8217, 692, 330, 815, 6305, 5332, 13246, 263, 1911, 271, 994, 2745, 17347, 9239, 258, 476, 2420, 29112, 5284, 371, 9686, 28476, 16044, 482, 7846, 4709, 7549, 30530, 19628, 267, 11714, 9924, 8563, 19757, 9326, 27569, 7846, 19628, 21660, 16044, 491, 7549, 13077, 4709, 11012, 6459, 7846, 10948, 3522, 13953, 21170, 11012, 15671, 12811, 21268, 4138, 4814, 13833, 31606, 21170, 3264, 476, 1321, 476, 28821, 268, 13194, 20265, 10948, 21170, 3264, 14359, 19277, 7846, 13077, 23783, 21170, 3264, 24893, 25986, 6459, 3378, 15800, 11714, 5284, 371, 8563, 13077, 27569, 3522, 19628, 27569, 7846, 19628, 31128, 15671, 3378, 21660, 4138, 16648, 17201, 9841, 20732, 7846, 19628, 16044, 484, 4138, 32553, 31589, 563, 16482, 258, 1219, 5021, 5091, 13424, 318, 12690, 318, 10090, 730, 10031, 258, 672, 1104, 4351, 454, 258, 672, 4351, 6958, 2682, 815, 1193, 263, 12690, 27110, 263, 1911, 1822, 1822, 1822, 267, 476, 15886, 15886, 15886, 15886, 4917, 258, 672, 1535, 815, 703, 263, 12690, 6958, 2682, 314, 271, 7481, 258, 672, 585, 1775, 538, 2039, 263, 272, 267, 7003, 263, 12690, 6958, 2682, 15892, 258, 1363, 952, 703, 263, 12690, 6958, 2682, 5157, 8079, 3436, 1535, 912, 258, 17264, 1535, 815, 703, 263, 12690, 6958, 2682, 5157, 7481, 16482, 258, 672, 2132, 4351, 6958, 2682, 267, 1535, 454, 16482, 258, 1535, 815, 5021, 5091, 13424, 318, 12690, 318, 10090, 730, 4590, 258, 1820, 3287, 2020, 692, 258, 476, 2537, 31560, 9924, 10948, 25986, 20434, 31224, 16044, 482, 3522, 7549, 4344, 18775, 4138, 3522, 6459, 14359, 3264, 7549, 30324, 18775, 22147, 3378, 24893, 25986, 20977, 267, 15800, 4736, 10528, 17201, 9841, 13194, 7846, 9326, 476, 16417, 7549, 7846, 4814, 4736, 4138, 19628, 780, 258, 1219, 27353, 3287, 2187, 258, 672, 952, 1535, 2652, 476, 271, 912, 258, 1363, 2132, 476, 272, 454, 258, 672, 3116, 912, 258, 1363, 2132, 1535, 2608, 27353, 3287, 910, 476, 272, 994, 16482, 258, 1820, 263, 2399, 3645, 263, 275, 4917, 258, 692, 258, 476, 2190, 29112, 6459, 7846, 10948, 3522, 13953, 21162, 9261, 16068, 16648, 13077, 13194, 21134, 29824, 22147, 13077, 9261, 9261, 3522, 11714, 9924, 16648, 4138, 13077, 20046, 16044, 484, 3264, 6459, 3378, 3264, 24893, 25986, 6459, 3378, 16068, 4344, 476, 272, 18194, 3378, 476, 1015, 15800, 10780, 16417, 9686, 20977, 15671, 3522, 20046, 10780, 17201, 9841, 13194, 13833, 3522, 16021, 6459, 19628, 31128, 15671, 3378, 27188, 15671, 3522, 9686, 28476, 269, 2843, 509, 17201, 9841, 13194, 13833, 3522, 16021, 23783, 11714, 8563, 19757, 4138, 4344, 454, 258, 24893, 25986, 6459, 3378, 267, 3522, 29824, 22147, 13077, 9261, 9261, 3522, 29824, 13833, 21268, 9326, 20046, 31128, 15671, 3378, 15800, 267, 31128, 4736, 20434, 10780, 17201, 9841, 13194, 13833, 3522, 16021, 23783, 14359, 3264, 27188, 15671, 3522, 28027, 6459, 267, 476, 26580, 28314, 13833, 18775, 4138, 4344, 25338, 17201, 9841, 20732, 3264, 15800, 20434, 20413, 12811, 9841, 20732, 3264, 269, 2843, 509, 25974, 6459, 3264, 24893, 3264, 15671, 3378, 16068, 10528, 9326, 31224, 29824, 25974, 4138, 4344, 454, 258, 27188, 15671, 3522, 9686, 28476, 269, 2843, 502, 476, 25000, 7549, 10780, 30718, 3522, 10780, 17201, 9841, 13194, 13833, 3522, 16021, 23783, 14359, 3264, 27188, 15671, 3522, 28027, 20046, 11714, 9924, 16648, 13077, 4709, 21170, 3264, 24893, 25986, 6459, 3378, 563, 16482, 258, 1104, 4351, 454, 16482, 258, 546, 815, 4351, 27110, 263, 272, 267, 1015, 994, 258, 1820, 5560, 994, 16482, 258, 1535, 815, 703, 9272, 2891, 396, 509, 5284, 370, 3522, 6459, 7846, 13953, 13150, 3522, 27188, 15671, 3522, 28027, 13953, 16021, 24893, 25986, 6459, 3378, 27363, 16482, 258, 1247, 6936, 912, 16482, 258, 672, 952, 1535, 2652, 546, 912, 258, 1363, 1820, 2891, 29551, 9924, 27188, 15671, 3522, 28027, 20434, 5602, 258, 1363, 2736, 454, 16482, 258, 672, 952, 1535, 3436, 546, 912, 16482, 258, 1363, 1535, 815, 703, 9272, 2891, 396, 507, 3264, 27188, 15671, 3522, 28027, 20434, 256, 31560, 9924, 16648, 21268, 4138, 16021, 24893, 25986, 6459, 3378, 20413, 12811, 9841, 20732, 3264, 27363, 258, 672, 952, 1535, 2999, 546, 10778, 258, 1363, 1535, 815, 703, 9272, 9497, 396, 507, 3264, 27188, 15671, 3522, 28027, 20434, 256, 31560, 9924, 16648, 21268, 4138, 16021, 24893, 25986, 6459, 3378, 25338, 17201, 9841, 20732, 3264, 27363 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 27387, 281, 6061, 513, 23692, 3970, 7223, 1227, 692, 272, 269, 12361, 6061, 513, 23692, 3970, 7223, 1227, 692, 763, 3970, 607, 1535, 15010, 271, 317, 266, 630, 5228, 1657, 4642, 264, 540, 1269, 15238, 3287, 266, 272, 8358, 343, 259, 568, 476, 272, 267, 594, 917, 713, 689, 5309, 4221, 2338, 883, 1250, 9498, 630, 663, 689, 32712, 1040, 3733, 2243, 568, 875, 666, 1775, 1397, 713, 7223, 1227, 2496, 273, 269, 12361, 1234, 281, 6061, 513, 23692, 3970, 7223, 1227, 692, 20756, 15438, 565, 558, 976, 6588, 557, 780, 2690, 713, 1966, 596, 1205, 513, 476, 271, 270, 271, 2013, 799, 568, 1141, 700, 262, 295, 641, 8558, 4341, 2501, 538, 630, 663, 2094, 596, 616, 16042, 621, 689, 519, 1318, 543, 711, 519, 2451, 596, 666, 946, 713, 281, 952, 596, 14059, 621, 689, 519, 2451, 1287, 621, 9327, 1405, 2291, 15587, 538, 519, 1483, 2338, 6393, 323, 7933, 343, 314, 15238, 3287, 266, 272, 13580, 815, 476, 272, 14370, 343, 266, 272, 264, 543, 546, 7933, 343, 3287, 264, 815, 476, 272, 269, 901, 786, 2285, 513, 3970, 602, 666, 581, 11117, 780, 2252, 596, 616, 711, 5432, 609, 700, 262, 295, 641, 8558, 4341, 621, 568, 10416, 513, 4341, 602, 596, 666, 946, 952, 596, 1205, 606, 967, 9057, 3729, 1106, 899, 476, 271, 270, 271, 610, 20581, 270, 8882, 6541, 1826, 7182, 780, 274, 269, 12361, 1234, 281, 6061, 513, 23692, 3970, 7223, 1227, 692, 15916, 267, 15438, 565, 558, 976, 6588, 557, 2439, 2710, 596, 917, 713, 4214, 540, 1269, 324, 259, 2496, 269, 1547, 4399, 3916, 3709, 340, 29540, 315, 13727, 4153, 3847, 263, 272, 1341, 1422, 339, 2765, 346, 272, 2410, 340, 4153, 2431, 8203, 340, 31046, 7807, 282, 324, 6911, 7445, 3667, 346, 17004, 602, 281, 476, 4153, 24097, 3916, 3709, 343, 29540, 271, 317, 266, 4153, 12101, 2765, 3189, 15238, 3287, 266, 272, 20972, 343, 348, 1422, 281, 7807, 281, 272, 6911, 2171, 723, 281, 1547, 4399, 3916, 3709, 343, 29540, 271, 317, 266, 4153, 339, 2765, 346, 272, 2410, 343, 4153, 15238, 3287, 266, 272, 264, 31046, 7807, 282, 315, 3916, 3709, 343, 29540, 271, 4153, 15238, 263, 272, 21147, 8203, 3189, 2765, 346, 272, 2410, 343, 32556, 4131, 1269, 340, 31386, 339, 2765, 346, 272, 2410, 343, 348, 1422, 15153, 315, 23976, 315, 15153, 1535, 22773, 7807, 12101, 339, 2765, 346, 272, 2410, 340, 21456, 9616, 602, 281, 952, 1269, 343, 29540, 476, 271, 8961, 1287, 1269, 340, 1422, 1729, 1422, 13727, 269, 6911, 7445, 3667, 346, 3383, 649, 723, 281, 476, 4153, 24097, 3916, 3709, 340, 29540, 315, 13727, 4153, 3847, 24560, 15238, 13375, 263, 272, 1341, 1422, 339, 2765, 346, 272, 2410, 340, 4153, 2431, 8203, 340, 9368, 316, 31046, 7807, 282, 315, 15238, 315, 8974, 3630, 576, 3189, 3847, 24560, 3916, 3709, 340, 29540, 315, 13727, 4153, 3847, 263, 272, 1341, 1422, 339, 2765, 346, 272, 2410, 340, 4153, 2431, 8203, 340, 9368, 316, 348, 18155, 3667, 346, 1607, 568, 7684, 324, 348, 31046, 7807, 282, 315, 15238, 16216, 264, 31046, 7807, 282, 272, 6911, 275, 269, 12361, 1234, 281, 6061, 513, 23692, 3970, 7223, 1227, 692, 23192, 17397, 676, 15438, 565, 558, 976, 6588, 557, 454, 763, 3970, 607, 1535, 15010, 271, 317, 266, 630, 5228, 1657, 4642, 264, 540, 1269, 15238, 3287, 266, 272, 8358, 343, 259, 568, 476, 272, 267, 3733, 2243, 568, 875, 666, 1775, 1397, 713, 7223, 1227, 888, 301, 777, 1512, 781, 8635, 281, 1269, 271, 10522, 602, 4399, 2765, 346, 272, 2410, 321, 348, 283, 315, 2765, 3189, 15238, 6357, 9984, 315, 15238, 5416, 20972, 321, 8584, 348, 283, 315, 2765, 346, 272, 2410, 320, 31859, 8196, 602, 547, 1205, 4399, 2765, 346, 272, 2410, 343, 266, 272, 348, 283, 315, 2765, 3189, 15238, 3287, 266, 272, 20972, 343, 348, 283, 272, 16859, 276, 269, 12361, 1234, 281, 6061, 513, 23692, 3970, 7223, 1227, 692, 628, 3471, 865, 1454, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 12655, 595, 2255, 618, 5004, 19510, 630, 17092, 320, 6573, 264, 6663, 547, 4019, 606, 7471, 1935, 547, 6952, 618, 2359, 2066, 782, 540, 519, 476, 6321, 267, 4343, 276, 25614, 540, 2244, 2136, 7780, 1988, 1378, 538, 519, 3345, 4639, 267, 799, 789, 3180, 547, 2149, 519, 2298, 540, 1216, 10024, 519, 23854, 563, 12850, 10866, 595, 2255, 618, 13979, 2488, 606, 7471, 1620, 543, 2963, 585, 5533, 2359, 593, 4609, 799, 723, 1044, 4857, 607, 17528, 547, 2743, 741, 2838, 1216, 2298, 610, 8733, 6859, 563, 2414, 1118, 938, 8933, 543, 12535, 2973, 1586, 267, 649, 991, 547, 581, 2111, 547, 960, 856, 1141, 519, 5533, 568, 4947, 689, 269, 590, 5746, 31778, 568, 513, 1981, 2173, 6260, 5943, 2966, 547, 2697, 1141, 538, 519, 5251, 27556, 5533, 568, 1034, 2693, 547, 581, 23608, 563, 763, 6268, 540, 23787, 24260, 2950, 2713, 538, 513, 5757, 610, 6908, 568, 835, 540, 519, 1655, 2409, 649, 723, 585, 12570, 519, 5222, 540, 2825, 2566, 593, 519, 1072, 540, 606, 12748, 5117, 563, 763, 24872, 532, 4826, 4578, 25817, 568, 606, 3498, 2966, 547, 5512, 1004, 547, 2263, 1344, 827, 2296, 543, 21730, 11280, 28876, 7297, 602, 814, 1044, 3812, 676, 519, 5113, 10837, 543, 7849, 8249, 12986, 563, 763, 25906, 1076, 5020, 26844, 6663, 547, 4497, 1004, 689, 2199, 2950, 267, 6705, 267, 1857, 5823, 14540, 543, 2199, 4213, 547, 948, 2087, 1216, 2298, 693, 513, 2199, 267, 6952, 618, 1377, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 273, 267, 274, 5937, 328, 5139, 32611, 17754, 15605, 545, 3679, 568, 513, 2067, 4307, 565, 1336, 538, 24695, 961, 13183, 639, 3679, 639, 543, 538, 519, 12748, 535, 1716, 6428, 9109, 807, 12387, 652, 320, 269, 898, 568, 513, 1019, 5139, 32611, 17754, 15605, 545, 3679, 267, 513, 1826, 540, 5214, 7623, 269, 634, 2681, 1652, 4396, 4386, 6923, 267, 1373, 4646, 3842, 519, 695, 1731, 1493, 13374, 269, 898, 568, 11368, 883, 1585, 521, 3187, 2684, 2803, 267, 799, 616, 6675, 602, 9244, 1950, 4401, 12274, 585, 10338, 883, 4551, 269, 476, 273, 267, 274, 5937, 295, 289, 5161, 540, 513, 524, 622, 3273, 1895, 267, 799, 2390, 1244, 549, 2023, 566, 25907, 4401, 7740, 1360, 9244, 267, 543, 519, 1286, 7901, 344, 997, 3679, 1895, 676, 799, 519, 8258, 1140, 2851, 547, 1585, 21934, 9529, 3842, 993, 728, 3095, 1137, 269, 589, 4583, 1164, 25505, 521, 3187, 2684, 648, 568, 4283, 665, 3559, 514, 267, 799, 3568, 1614, 1019, 5139, 32611, 17754, 345, 1195, 331, 2655, 15856, 757, 5532, 547, 519, 632, 1186, 527, 686, 701, 32644, 540, 1583, 710, 269, 898, 568, 513, 5732, 3730, 4401, 2275, 3559, 908, 3075, 269, 476, 273, 267, 274, 5937, 328, 5139, 32611, 17754, 15605, 545, 3679, 568, 849, 513, 1587, 540, 1480, 29469, 10307, 563, 13911, 540, 11314, 454, 290, 13511, 3872, 4199, 585, 476, 273, 267, 274, 5937, 328, 5139, 32611, 17754, 15605, 545, 3679, 630, 20598, 769, 2419, 296, 7659, 717, 17162, 304, 4456, 312, 290, 32271, 296, 297, 291, 309, 27138, 295, 13697, 11902, 302, 312, 6347, 9539, 1040, 476, 273, 267, 274, 5937, 328, 5139, 32611, 17754, 15605, 545, 3679, 630, 296, 16810, 3722, 8745, 5148, 476, 273, 267, 274, 5937, 328, 5139, 32611, 1532, 523, 15605, 545, 3679, 282, 1019, 5139, 32611, 17754, 15605, 545, 3679, 269, 7427, 519, 2985, 3095, 547, 979, 547, 519, 7623, 2985, 593, 519, 6258, 11061, 530, 5942, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 320, 284, 15615, 9272, 3488, 309, 601, 665, 573, 1228, 29125, 321, 284, 276, 16732, 320, 268, 3199, 994, 604, 513, 285, 3199, 912, 825, 1820, 3488, 309, 665, 17845, 9087, 328, 1617, 5964, 1100, 27089, 632, 681, 259, 346, 271, 15545, 273, 325, 348, 8339, 8971, 6357, 4917, 12828, 912, 825, 1820, 18011, 301, 14244, 9087, 328, 1617, 5964, 10807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12867, 723, 4362, 875, 9040, 525, 807, 2890, 16210, 267, 835, 540, 519, 1079, 9040, 525, 807, 21313, 2249, 602, 10141, 519, 1480, 3777, 525, 3930, 328, 267, 31825, 609, 922, 3984, 563, 12867, 4857, 606, 8097, 27179, 3075, 602, 524, 999, 8983, 7783, 609, 25816, 2548, 3644, 269, 674, 822, 760, 4275, 341, 597, 568, 9516, 538, 3567, 855, 711, 519, 2475, 563, 1103, 476, 1001, 278, 267, 519, 10693, 724, 1941, 539, 8743, 729, 1336, 538, 519, 2475, 585, 519, 1101, 593, 513, 13265, 538, 1715, 14948, 269, 898, 814, 2094, 1044, 1336, 538, 693, 2547, 476, 1015, 2829, 563, 1607, 4199, 2488, 1344, 593, 7114, 3864, 24217, 543, 519, 3676, 789, 4163, 543, 10141, 563, 1607, 4199, 2488, 513, 3391, 547, 7114, 3345, 1977, 24217, 543, 513, 4901, 540, 519, 3676, 789, 4163, 543, 10141, 563, 12867, 1336, 602, 519, 4994, 3461, 729, 7783, 609, 513, 5892, 796, 30009, 5302, 7757, 10717, 3644, 630, 9188, 793, 730, 13966, 3333, 534, 3644, 1040, 25124, 609, 519, 3644, 729, 9672, 676, 21512, 6261, 10135, 22368, 538, 476, 10436, 2550, 689, 28740, 31322, 543, 1261, 559, 784, 10202, 836, 563, 288, 476, 2764, 4458, 6040, 17174, 4807, 689, 519, 26284, 15401, 944, 320, 17174, 18296, 538, 3127, 814, 5747, 540, 28103, 27193, 639, 563, 288, 9670, 4062, 540, 1344, 689, 8743, 4152, 729, 519, 4527, 540, 513, 2068, 19800, 1572, 11465, 344, 600, 9369, 328, 563, 19177, 1004, 538, 14822, 941, 7783, 609, 513, 4686, 8743, 25645, 3644, 267, 1634, 607, 12548, 8743, 8611, 267, 538, 513, 2582, 3923, 563, 763, 2475, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 585, 519, 1101, 942, 786, 581, 5464, 519, 4182, 779, 8743, 2551, 543, 519, 3676, 519, 10860, 949, 581, 8876, 7868, 1297, 540, 1004, 8995, 609, 3978, 3676, 9715, 998, 24217, 814, 811, 982, 23060, 936, 519, 2250, 1906, 5756, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 769, 799, 7574, 729, 519, 5152, 1412, 11764, 1067, 5503, 262, 1101, 4862, 888, 12585, 281, 623, 3036, 294, 312, 6730, 645, 8577, 454, 2704, 328, 1162, 281, 623, 3073, 344, 543, 536, 612, 267, 623, 3073, 344, 1656, 645, 612, 267, 623, 3036, 294, 312, 6730, 645, 8577, 267, 623, 3073, 344, 543, 645, 612, 267, 623, 3073, 344, 1299, 645, 612, 267, 717, 619, 327, 7773, 781, 623, 3073, 344, 543, 645, 612, 267, 623, 3073, 344, 543, 645, 612, 630, 294, 619, 327, 7773, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1306, 4767, 689, 519, 1283, 540, 513, 476, 4037, 544, 1164, 561, 30224, 689, 519, 4262, 7400, 267, 519, 7285, 540, 4965, 540, 1079, 9635, 616, 476, 1789, 4113, 543, 476, 3393, 4113, 269, 1403, 835, 6928, 568, 4010, 3297, 519, 824, 593, 519, 1482, 2427, 540, 519, 561, 30224, 267, 1265, 519, 3845, 1063, 519, 1079, 9635, 780, 4131, 9474, 581, 519, 561, 30224, 540, 4463, 476, 4037, 544, 269, 2913, 595, 543, 667, 581, 519, 7158, 540, 519, 9635, 780, 1789, 4113, 543, 476, 3393, 4113, 616, 519, 7285, 540, 4965, 689, 519, 561, 30224, 780, 5723, 815, 561, 30224, 815, 476, 4037, 332, 692, 291, 543, 595, 616, 1079, 9635, 692, 17584, 815, 26042, 1103, 678, 339, 269, 31221, 5723, 291, 10484, 5723, 270, 9720, 284, 16009, 1789, 4113, 692, 4037, 270, 9720, 815, 476, 272, 270, 18414, 274, 692, 9720, 815, 476, 4037, 18414, 274, 692, 1103, 678, 339, 269, 31221, 27398, 692, 5723, 270, 6195, 1109, 284, 16009, 3393, 4113, 692, 4037, 270, 6195, 815, 476, 272, 270, 272, 692, 6195, 815, 476, 4037, 692, 17584, 815, 30183, 1107, 7460, 692, 284, 476, 4037, 18414, 274, 1107, 476, 4037, 692, 4037, 263, 18414, 274, 1107, 476, 272, 2020, 4037, 263, 272, 269, 4391, 273, 1107, 476, 272, 2020, 4097, 269, 12010, 692, 17798, 267, 3845, 1063, 1079, 6928, 568, 476, 4097, 269, 12010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 15272, 281, 1215, 547, 1413, 4190, 269, 4855, 519, 1318, 31576, 5622, 543, 30690, 269, 15742, 2472, 960, 1732, 609, 1978, 4552, 2010, 269, 9105, 513, 3318, 610, 1491, 519, 942, 547, 4603, 269, 3097, 271, 269, 1496, 11357, 25074, 316, 1744, 2086, 5622, 519, 5072, 543, 2783, 519, 7475, 269, 901, 11151, 1628, 5346, 593, 707, 21435, 543, 8952, 519, 7475, 689, 8840, 563, 272, 269, 1744, 2086, 5622, 543, 30690, 1058, 711, 581, 1031, 1354, 596, 723, 707, 4552, 3819, 267, 855, 602, 786, 4096, 593, 707, 4552, 1826, 269, 3962, 1826, 540, 31576, 5622, 814, 922, 1378, 5528, 267, 865, 581, 1360, 9237, 538, 707, 5542, 543, 1205, 835, 602, 781, 1318, 585, 707, 4552, 563, 273, 269, 898, 781, 1732, 547, 1832, 513, 4552, 1416, 3391, 609, 596, 865, 596, 666, 581, 2386, 596, 2811, 3478, 519, 1318, 12478, 267, 5848, 584, 9088, 267, 543, 2472, 269, 11408, 3314, 547, 31576, 5622, 543, 2783, 707, 4552, 538, 519, 17643, 563, 274, 269, 1496, 11357, 25074, 316, 1703, 616, 9748, 540, 1114, 31576, 30139, 267, 2783, 619, 267, 543, 11132, 1085, 16421, 2139, 269, 634, 3070, 568, 547, 4444, 519, 835, 14191, 547, 707, 4552, 1826, 563, 12585, 281, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8298, 673, 2311, 558, 1143, 281, 1133, 24286, 519, 8490, 2349, 4169, 540, 18712, 692, 1103, 713, 1770, 267, 649, 786, 5490, 883, 519, 10578, 10952, 3350, 1634, 607, 9266, 11046, 1143, 269, 901, 1153, 540, 2219, 7153, 1282, 519, 2038, 476, 736, 628, 2540, 267, 5097, 998, 519, 1568, 540, 3703, 14544, 26450, 8681, 21651, 543, 22341, 32400, 654, 8636, 2102, 7322, 269, 4014, 12082, 538, 25107, 6138, 267, 9266, 11046, 1143, 3091, 2189, 4030, 602, 16637, 922, 3140, 8129, 543, 3136, 547, 3310, 4207, 9840, 780, 2414, 2253, 938, 3460, 267, 1577, 781, 1101, 5581, 9266, 11046, 1143, 269, 769, 2241, 2474, 267, 621, 4016, 547, 519, 2856, 602, 1950, 6898, 630, 528, 3981, 1431, 264, 2874, 540, 12863, 267, 967, 643, 14548, 3334, 1572, 10570, 5013, 269, 1452, 2679, 7161, 267, 950, 5916, 25401, 267, 1106, 811, 7294, 3889, 602, 13822, 6209, 7215, 827, 4641, 269, 22353, 267, 676, 7421, 1893, 543, 8840, 1524, 5220, 883, 741, 2596, 23466, 267, 15806, 2832, 547, 10625, 4909, 18408, 30343, 6228, 3294, 780, 3086, 602, 649, 723, 3964, 513, 2324, 4214, 540, 9266, 11046, 1143, 267, 1577, 721, 2263, 930, 1883, 3344, 540, 713, 4241, 3069, 1384, 272, 269, 2878, 4263, 5669, 12700, 5093, 6239, 547, 9266, 11046, 1143, 568, 519, 10206, 540, 10570, 5013, 1765, 597, 516, 3027, 1043, 4559, 540, 4641, 602, 4196, 607, 13654, 2609, 2390, 799, 782, 824, 1702, 26520, 269, 1323, 10570, 1249, 14687, 547, 513, 1880, 1533, 540, 12602, 5473, 3615, 267, 3601, 267, 610, 2621, 1369, 519, 1158, 269, 1280, 1383, 267, 834, 24124, 568, 3039, 257, 4564, 606, 10570, 1249, 1317, 621, 5161, 540, 1079, 3982, 9988, 9497, 24124, 257, 543, 834, 13582, 1145, 8442, 3808, 1927, 538, 513, 1808, 2078, 269, 12830, 569, 267, 891, 10026, 4559, 3112, 581, 2417, 10920, 12723, 1510, 9561, 2495, 610, 25843, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19950, 532, 1514, 9443, 270, 14532, 540, 519, 6138, 454, 14532, 540, 519, 9147, 4457, 6138, 12575, 454, 312, 8986, 540, 1272, 540, 25230, 639, 281, 476, 4649, 272, 268, 5325, 280, 7460, 269, 3571, 2835, 2099, 5837, 15872, 269, 25230, 639, 25343, 1354, 3504, 5389, 269, 634, 1292, 6240, 540, 2069, 693, 25230, 639, 616, 606, 24150, 543, 2463, 547, 519, 22242, 1107, 547, 519, 4651, 610, 519, 17169, 269, 898, 568, 2556, 547, 15666, 547, 519, 6240, 540, 834, 326, 1245, 523, 1611, 257, 538, 2623, 267, 621, 568, 2556, 547, 581, 9793, 538, 519, 13821, 269, 634, 9759, 540, 1010, 14985, 666, 581, 2322, 883, 1913, 281, 834, 307, 805, 1866, 607, 596, 1131, 899, 1866, 547, 1521, 596, 1701, 269, 25230, 639, 6257, 606, 3239, 540, 519, 1268, 799, 5205, 1010, 5837, 840, 32383, 910, 621, 568, 834, 1492, 15626, 1268, 257, 543, 25230, 639, 1727, 4680, 540, 519, 15626, 1268, 547, 519, 1970, 1268, 269, 634, 15626, 1268, 5205, 519, 2619, 540, 10279, 543, 519, 1876, 267, 519, 15626, 1268, 568, 3169, 532, 547, 5128, 267, 519, 15626, 1268, 4422, 547, 2669, 585, 519, 19160, 540, 1004, 543, 1378, 7963, 269, 634, 1970, 1268, 1193, 1161, 585, 4324, 267, 519, 1970, 1268, 568, 3169, 532, 547, 1004, 543, 519, 1970, 1268, 862, 1080, 647, 545, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 16479, 2311, 558, 1143, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 28073, 1315, 8890, 6776, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 1347, 337, 814, 513, 4544, 25984, 1394, 267, 12457, 4544, 610, 3039, 880, 5011, 609, 1507, 2699, 610, 10538, 9634, 543, 513, 30437, 2699, 17987, 269, 634, 24725, 543, 1309, 644, 531, 27634, 616, 17824, 880, 267, 15029, 519, 1866, 616, 2699, 269, 634, 1101, 12345, 540, 519, 19610, 27634, 543, 519, 1387, 1710, 616, 3043, 563, 1607, 4759, 540, 519, 13687, 1920, 267, 568, 540, 5420, 2450, 543, 538, 519, 5087, 4955, 6233, 547, 838, 538, 15195, 269, 1717, 267, 1082, 7823, 10720, 282, 1519, 930, 538, 519, 3703, 1772, 956, 264, 616, 9468, 676, 1875, 2173, 580, 24022, 15195, 3029, 269, 6601, 5338, 751, 525, 1747, 2901, 1282, 519, 3735, 15489, 610, 2038, 521, 1782, 543, 519, 1762, 3165, 267, 1310, 554, 10248, 267, 3251, 538, 15195, 585, 1614, 547, 2185, 1296, 269, 1358, 22109, 547, 519, 4262, 1282, 5162, 267, 1419, 10977, 896, 519, 4672, 540, 13792, 8933, 269, 4256, 9194, 3460, 666, 8831, 883, 4873, 269, 4438, 922, 15195, 6228, 519, 1347, 337, 2729, 593, 1507, 3165, 543, 5521, 16793, 267, 855, 849, 26357, 856, 540, 519, 1216, 547, 6952, 10760, 7786, 269, 769, 519, 4262, 621, 20555, 593, 3165, 543, 814, 513, 2027, 561, 559, 1154, 585, 1762, 1200, 2590, 269, 898, 814, 9921, 323, 16770, 536, 267, 519, 942, 621, 568, 3670, 610, 5722, 1296, 2025, 563, 2005, 7610, 1080, 519, 11848, 15798, 540, 2342, 267, 5607, 5351, 3345, 3013, 267, 543, 519, 9381, 7297, 540, 19360, 1975, 1080, 828, 2102, 543, 519, 7187, 2694, 540, 16157, 269, 1717, 267, 1804, 2338, 540, 2199, 8677, 2661, 538, 519, 12647, 540, 4789, 267, 8581, 543, 10430, 267, 538, 25227, 267, 16528, 543, 21785, 12647, 267, 607, 1134, 607, 538, 519, 32595, 269, 1280, 1383, 538, 8235, 4790, 766, 543, 824, 12647, 538, 519, 32595, 513, 1507, 1106, 609, 4174, 330, 5944, 1804, 4064, 666, 581, 1336, 538, 2620, 7297, 269, 634, 1347, 337, 568, 540, 9645, 2804, 1871, 538, 519, 11848, 7297, 267, 15029, 519, 10720, 3029, 616, 2442, 2587, 1782, 3165, 563, 16655, 3065, 2450, 543, 2597, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12163, 12255, 29004, 362, 18021, 497, 418, 497, 491, 30853, 454, 417, 28187, 31563, 12255, 29004, 362, 23989, 418, 498, 363, 418, 490, 479, 11590, 489, 20693, 350, 8147, 28884, 19867, 356, 27310, 19540, 503, 418, 497, 491, 30853, 8147, 338, 27942, 20992, 19540, 503, 24662, 13644, 511, 9463, 354, 8147, 421, 375, 502, 18777, 353, 19764, 478, 12571, 363, 11590, 489, 20693, 350, 8147, 421, 506, 478, 28884, 17958, 418, 498, 363, 418, 490, 479, 11590, 489, 20693, 350, 26406, 356, 10254, 370, 7511, 19764, 499, 418, 497, 492, 8147, 419, 482, 370, 12571, 492, 1260, 2466, 454, 417, 28187, 31563, 12255, 29004, 362, 23989, 21251, 418, 498, 363, 418, 490, 479, 11590, 489, 20693, 350, 8147, 19867, 356, 27310, 19540, 503, 418, 497, 491, 30853, 419, 360, 489, 22287, 367, 13200, 509, 10533, 486, 454, 12163, 258, 13213, 508, 26406, 354, 12255, 29004, 362, 18021, 497, 454, 5814, 533, 2096, 903, 27942, 454, 16911, 284, 19127, 825, 834, 10676, 9899, 257, 29985, 10676, 20350, 825, 834, 1636, 9899, 20065, 277, 2676, 825, 834, 12528, 9899, 257, 10174, 20350, 825, 834, 10139, 5320, 9899, 257, 11277, 27174, 20350, 825, 834, 323, 520, 15390, 9899, 257, 560, 340, 20350, 825, 834, 577, 1513, 564, 9899, 257, 583, 325, 279, 4840, 8679, 27219, 284, 335, 2096, 903, 27942, 269, 21010, 263, 1262, 16911, 994, 258, 10254, 505, 417, 375, 374, 418, 372, 372, 21550, 485, 17276, 497, 491, 30853, 12255, 29004, 362, 18021, 497, 12255, 29004, 362, 8147, 420, 492, 371, 9463, 500, 418, 497, 491, 30853, 14756, 497, 31563, 28098, 420, 365, 350, 454, 2017, 284, 27219, 269, 19387, 4590, 258, 418, 497, 491, 30853, 12255, 29004, 362, 18021, 497, 19540, 503, 12255, 29004, 362, 454, 258, 2119, 281, 258, 13601, 420, 486, 361, 17958, 19764, 480, 27747, 372, 14035, 482, 419, 494, 484, 23521, 354, 13213, 505, 27310, 19540, 503, 418, 497, 491, 30853, 454, 258, 672, 13483, 331, 6889, 26303, 804, 338, 1305, 6060, 284, 6344, 1141, 7329, 284, 272, 4840, 258, 672, 1225, 20216, 31146, 4433, 27942, 994, 258, 672, 24563, 2593, 2466, 3890, 258, 18713, 510, 20992, 12255, 29004, 362, 23989, 19764, 499, 418, 497, 492, 418, 498, 363, 418, 490, 479, 11590, 489, 20693, 350, 8147, 19867, 478, 23284, 28884, 418, 493, 494, 11590, 353, 454, 258, 4849, 1401, 4003, 607, 552, 912, 258, 672, 1820, 16216, 994, 258, 672, 24563, 269, 2651, 3724, 4590, 258, 1366, 19203, 19867, 373, 19404, 493, 19540, 503, 12255, 29004, 362, 1366, 955, 454, 11907, 17342, 454, 825, 9497, 764, 322, 2580, 3451, 267, 4510, 13211, 825, 9497, 9536, 323, 2580, 3451, 267, 4510, 13211, 825, 9497, 2465, 324, 2580, 3451, 267, 4510, 994, 2639, 339, 787, 912, 825, 13483, 331, 273, 6889, 12133, 883, 804, 338, 630, 4067, 267, 720, 267, 16557, 264, 2418, 630, 260, 338, 267, 260, 338, 267, 260, 338, 5148, 257, 258, 421, 506, 478, 28884, 421, 25693, 15159, 260, 338, 21211, 31033, 4970, 366, 8147, 19867, 491, 420, 25693, 12916, 379, 23523, 501, 338, 27942, 13644, 511, 9463, 354, 27882, 352, 419, 350, 362, 454, 825, 1225, 20216, 1815, 583, 655, 1415, 4433, 27942, 273, 267, 11907, 994, 825, 24563, 2593, 2466, 4590, 21955, 1401, 4003, 607, 552, 912, 825, 1820, 16216, 994, 825, 24563, 269, 2651, 3724, 4590, 258, 10429, 367, 25426, 511, 418, 372, 372, 21550, 485, 18998, 12255, 29004, 362, 18021, 497, 13213, 508, 26406, 354, 454, 2017, 25379, 4590, 27219, 25379, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 12751, 569, 19232, 32223, 2371, 282, 24778, 320, 2572, 568, 519, 8783, 543, 6093, 12593, 454, 268, 1920, 24778, 7159, 19687, 454, 13911, 540, 281, 27590, 657, 11279, 1920, 454, 8512, 540, 281, 24778, 320, 1388, 525, 267, 1931, 24778, 320, 1388, 525, 454, 268, 1920, 10260, 7159, 19687, 281, 715, 1735, 281, 1920, 24778, 320, 4429, 268, 1261, 568, 20295, 607, 519, 1101, 10196, 547, 2272, 585, 782, 8219, 540, 519, 17255, 598, 11717, 1920, 24778, 7159, 19687, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5035, 8827, 912, 825, 1219, 5295, 4311, 267, 3490, 267, 20800, 2187, 1038, 15273, 284, 272, 454, 1038, 952, 630, 10339, 9426, 285, 284, 271, 2187, 2018, 585, 1775, 538, 2039, 263, 10339, 9426, 2187, 3546, 15273, 265, 284, 19668, 454, 1038, 3116, 912, 2018, 585, 1775, 538, 2039, 8987, 272, 265, 10339, 9426, 2187, 3546, 15273, 265, 284, 19668, 454, 2018, 15273, 284, 272, 8276, 592, 454, 1038, 2132, 15273, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 513, 9589, 2244, 1572, 3163, 1633, 807, 267, 972, 5030, 1079, 8049, 2828, 3957, 918, 5942, 519, 6314, 626, 543, 8891, 337, 519, 4284, 545, 626, 269, 1358, 6068, 3695, 1007, 1919, 543, 1565, 827, 519, 1158, 1472, 873, 269, 2290, 1554, 267, 789, 4956, 547, 3643, 741, 3659, 808, 527, 6390, 945, 12038, 513, 12357, 1893, 1572, 16231, 780, 2026, 789, 14059, 808, 527, 6390, 781, 2777, 267, 918, 5942, 5828, 547, 8891, 337, 543, 4280, 267, 834, 30821, 337, 267, 875, 798, 649, 2161, 1412, 4131, 781, 1175, 2161, 621, 3513, 782, 581, 936, 538, 513, 1906, 3764, 262, 538, 16231, 8119, 8891, 337, 14452, 267, 834, 11039, 267, 918, 5942, 267, 538, 16231, 267, 621, 781, 1412, 385, 502, 2131, 333, 384, 505, 1889, 267, 15662, 378, 324, 547, 642, 20795, 324, 1013, 334, 1236, 517, 25155, 6403, 1990, 320, 533, 5451, 337, 1295, 583, 9538, 5016, 298, 5942, 729, 19832, 676, 875, 1114, 4654, 1185, 1114, 2081, 540, 11589, 2093, 269, 2701, 9289, 16965, 267, 834, 296, 4898, 1946, 16231, 3096, 513, 1114, 2262, 1931, 982, 2296, 610, 1946, 930, 1913, 1689, 1759, 593, 741, 1909, 538, 519, 4845, 8119, 8891, 337, 6045, 267, 834, 6546, 781, 1317, 16231, 5205, 513, 1062, 1572, 1102, 3005, 267, 799, 1797, 602, 1913, 1689, 4470, 593, 741, 1599, 538, 513, 4845, 269, 898, 781, 2147, 547, 875, 2609, 2746, 8335, 950, 5916, 609, 824, 2609, 538, 7998, 15323, 297, 527, 6390, 20888, 1200, 2828, 27145, 543, 6035, 547, 4001, 873, 811, 827, 1200, 4190, 1893, 269, 1306, 789, 6170, 519, 12784, 1927, 267, 918, 5942, 543, 8891, 337, 4362, 602, 5103, 519, 3604, 1063, 4654, 267, 1004, 10876, 3838, 1455, 2833, 267, 4690, 267, 543, 7279, 269, 1717, 267, 607, 789, 941, 6028, 267, 513, 6727, 7088, 5734, 267, 14700, 519, 9897, 543, 29212, 873, 3330, 808, 527, 6390, 781, 1753, 269, 9282, 25922, 267, 519, 1614, 2828, 1336, 4313, 538, 1142, 824, 781, 2754, 543, 4797, 547, 1451, 543, 2263, 1927, 267, 16734, 602, 3006, 6397, 2621, 1291, 547, 1256, 3152, 8906, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 568, 834, 4131, 781, 1175, 2161, 621, 3513, 782, 581, 936, 538, 513, 1906, 3764, 1701, 1767, 538, 16231, 888, 1103, 16231, 267, 519, 8360, 834, 4131, 781, 1175, 2161, 621, 3513, 782, 581, 936, 538, 513, 1906, 3764, 257, 666, 581, 12261, 607, 834, 385, 502, 2131, 333, 384, 505, 1889, 267, 15662, 378, 324, 547, 642, 20795, 324, 1013, 334, 1236, 517, 25155, 6403, 1990, 320, 533, 5451, 337, 1295, 583, 3010, 2080, 568, 513, 15059, 540, 519, 16231, 8144, 1384, 268, 834, 385, 502, 2131, 333, 384, 505, 1889, 257, 1107, 2913, 781, 1175, 2161, 630, 320, 19583, 547, 3858, 593, 513, 3948, 994, 268, 834, 385, 378, 324, 257, 1107, 602, 630, 320, 27296, 267, 2147, 547, 834, 7474, 257, 538, 2296, 994, 268, 834, 1729, 642, 20795, 324, 1013, 334, 257, 1107, 621, 3513, 782, 630, 516, 2536, 2590, 547, 1945, 602, 786, 581, 936, 4166, 994, 268, 834, 12921, 517, 25155, 6403, 257, 1107, 581, 936, 267, 9096, 630, 1492, 8231, 834, 1729, 1439, 257, 538, 2104, 13029, 994, 268, 834, 5633, 257, 1107, 538, 267, 1310, 630, 4310, 547, 4766, 513, 1978, 1974, 540, 942, 814, 547, 1780, 538, 1931, 585, 1945, 547, 4755, 994, 268, 834, 335, 5451, 337, 257, 1107, 1906, 267, 513, 7008, 630, 516, 2536, 2590, 547, 513, 1507, 1297, 994, 268, 834, 2381, 583, 257, 1107, 3764, 630, 1492, 942, 1770, 2020, 763, 16231, 1893, 12851, 547, 519, 4639, 23577, 545, 1920, 540, 4654, 267, 2059, 609, 14470, 543, 30355, 752, 269, 1879, 24758, 2453, 267, 621, 781, 1898, 547, 2015, 21342, 3652, 267, 18986, 11703, 7215, 267, 543, 2686, 2796, 269, 16231, 5220, 949, 723, 1114, 2262, 1931, 543, 946, 3616, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1805, 5839, 23581, 519, 4279, 454, 5141, 2727, 547, 21239, 281, 853, 5839, 23581, 519, 4279, 729, 835, 540, 519, 2038, 5939, 18971, 945, 4359, 519, 2856, 540, 1395, 2880, 1143, 269, 1261, 4421, 782, 646, 1185, 543, 5795, 621, 547, 519, 4057, 543, 1185, 513, 7404, 1200, 2466, 4001, 1864, 519, 1148, 540, 11755, 267, 543, 849, 540, 11127, 32734, 3058, 269, 1261, 729, 2693, 513, 20194, 540, 853, 20900, 519, 4279, 269, 634, 1004, 941, 24330, 676, 5839, 23581, 685, 7805, 15657, 538, 2868, 1465, 543, 7326, 543, 1185, 1864, 1500, 513, 17308, 676, 519, 24649, 269, 1261, 24714, 711, 547, 1831, 513, 17308, 855, 538, 1010, 21548, 1223, 711, 20549, 269, 589, 1978, 8004, 538, 519, 8498, 2968, 9176, 543, 15034, 12429, 5839, 23581, 540, 4651, 532, 519, 796, 9799, 1126, 269, 634, 1004, 8179, 1864, 856, 267, 10726, 1864, 267, 543, 627, 5792, 1864, 855, 538, 1010, 21548, 267, 646, 7283, 14980, 269, 1261, 8120, 547, 1010, 1591, 267, 1818, 1319, 338, 543, 9513, 873, 547, 2285, 519, 2724, 547, 519, 4807, 865, 602, 1352, 1223, 3548, 267, 16561, 519, 4807, 607, 1010, 7385, 269, 2991, 7092, 519, 24074, 540, 11668, 267, 519, 4807, 21334, 539, 519, 5168, 4929, 519, 1004, 540, 519, 8498, 547, 3343, 12429, 5839, 23581, 547, 23294, 1047, 269, 1879, 646, 4862, 713, 267, 646, 19679, 543, 7283, 538, 519, 9390, 585, 519, 1964, 540, 1010, 1272, 538, 1010, 21548, 454, 32621, 281, 968, 13731, 2103, 723, 513, 18710, 543, 513, 5898, 543, 513, 31676, 5763, 799, 568, 3564, 1913, 267, 543, 621, 568, 4465, 609, 24074, 267, 543, 17570, 543, 8062, 267, 543, 1082, 7526, 782, 676, 519, 11419, 540, 2696, 7536, 29222, 1249, 281, 3571, 4651, 7142, 1864, 547, 1205, 9310, 1996, 1010, 786, 865, 646, 535, 8898, 606, 4576, 538, 1931, 547, 9101, 543, 3251, 538, 519, 19069, 585, 513, 1906, 2395, 269, 2755, 538, 519, 19069, 267, 646, 7281, 539, 602, 2696, 1131, 1463, 1864, 547, 1018, 568, 24886, 547, 13924, 269, 1879, 646, 8120, 267, 519, 4807, 646, 729, 9277, 547, 19533, 1185, 5747, 543, 646, 9684, 539, 2696, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 6837, 267, 5147, 476, 275, 267, 476, 10082, 277, 2433, 513, 17083, 676, 519, 13222, 540, 519, 2136, 2276, 540, 3013, 267, 538, 2489, 18322, 19632, 454, 268, 769, 6837, 267, 5147, 476, 275, 267, 476, 10082, 277, 2433, 513, 17083, 676, 519, 13222, 540, 519, 2136, 2276, 540, 3013, 267, 538, 2489, 18322, 19632, 454, 268, 7170, 630, 5306, 4700, 10778, 5719, 743, 9653, 676, 519, 13222, 540, 519, 2136, 2276, 540, 3013, 454, 268, 7170, 630, 684, 6134, 2187, 18197, 2276, 269, 16672, 540, 14412, 454, 268, 28711, 267, 3627, 267, 476, 15876, 273, 268, 9965, 276, 454, 268, 18120, 1513, 267, 11977, 18832, 548, 628, 454, 268, 4024, 529, 267, 26637, 1408, 267, 476, 11260, 276, 268, 8146, 272, 454, 268, 2136, 2276, 454, 268, 4813, 518, 8227, 912, 268, 12590, 8466, 5980, 454, 289, 10667, 5398, 7732, 454, 305, 732, 7734, 4972, 454, 268, 14635, 630, 29985, 2187, 8624, 11102, 543, 21829, 11785, 630, 8624, 3005, 540, 5940, 8012, 994, 268, 476, 272, 6656, 630, 533, 4700, 6902, 476, 2004, 1535, 476, 4375, 4699, 630, 21459, 1606, 18694, 994, 5591, 1634, 10677, 9993, 563, 5591, 1634, 9993, 593, 946, 563, 16966, 547, 2168, 5299, 11305, 641, 625, 676, 13393, 1152, 269, 7490, 3346, 11785, 5398, 7732, 27824, 7734, 543, 2494, 11245, 338, 4972, 585, 2417, 1344, 563, 25567, 320, 281, 11785, 10778, 19530, 539, 676, 3627, 28711, 267, 543, 18120, 1513, 543, 4024, 529, 267, 538, 10348, 21178, 22901, 454, 268, 11872, 630, 322, 2787, 2187, 12626, 2110, 2140, 32562, 267, 654, 13893, 4962, 454, 18128, 753, 267, 595, 269, 1977, 15853, 267, 476, 14681, 8618, 454, 310, 1023, 327, 267, 631, 12282, 269, 12634, 3376, 2515, 21820, 540, 519, 16672, 540, 14412, 630, 19604, 10542, 7732, 28743, 267, 5292, 269, 476, 274, 267, 1100, 269, 476, 272, 267, 15604, 476, 3707, 280, 1070, 476, 1015, 454, 13553, 3390, 9102, 676, 28711, 543, 18120, 1513, 543, 4024, 529, 267, 609, 513, 2582, 4341, 543, 29501, 693, 5377, 540, 6656, 269, 595, 325, 269, 654, 1023, 327, 563, 268, 11872, 630, 15953, 2187, 289, 10667, 5398, 7732, 630, 305, 732, 7734, 4972, 264, 5299, 609, 16064, 956, 593, 1614, 8728, 269, 16592, 1318, 7944, 14324, 2476, 269, 623, 3420, 1078, 538, 5463, 1421, 476, 3707, 275, 689, 519, 12590, 8466, 5980, 563, 268, 11910, 1948, 912, 305, 22664, 645, 16775, 670, 269, 3445, 269, 276, 4375, 1535, 343, 321 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5415, 543, 811, 4079, 616, 12423, 519, 3675, 903, 540, 4730, 513, 7574, 6293, 269, 1677, 3391, 596, 593, 707, 1353, 267, 1934, 568, 513, 1592, 540, 834, 12749, 476, 276, 15329, 514, 6396, 7734, 585, 16989, 30488, 454, 2668, 634, 2835, 5018, 1934, 616, 930, 540, 519, 1034, 2442, 543, 5227, 2326, 950, 621, 2501, 547, 1565, 875, 547, 1404, 519, 30413, 269, 7734, 949, 581, 1031, 607, 1582, 24713, 344, 2326, 610, 267, 952, 19801, 267, 607, 7110, 547, 519, 2835, 596, 2811, 4867, 1210, 269, 901, 4303, 769, 8535, 3778, 912, 9965, 273, 910, 634, 30413, 4075, 340, 657, 334, 12832, 3712, 334, 623, 12298, 7236, 729, 4535, 269, 20124, 3938, 17940, 540, 16199, 15182, 2784, 29651, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 5808, 16309, 23237, 607, 8168, 6205, 888, 12585, 281, 23817, 3036, 22835, 631, 3201, 2894, 298, 10976, 454, 2704, 328, 1162, 281, 9677, 4512, 5689, 523, 28325, 267, 2843, 497, 3264, 3378, 392, 479, 4814, 15671, 4138, 13953, 2843, 506, 3522, 7549, 4736, 4138, 9261, 4138, 20434, 3522, 392, 479, 4709, 13833, 4138, 10948, 2843, 506, 3522, 6459, 12811, 7549, 3378, 392, 479, 8563, 267, 9677, 6359, 631, 6545, 574, 27482, 990, 328, 25155, 5689, 523, 28325, 267, 9677, 344, 5689, 523, 28325, 267, 9677, 344, 631, 6545, 574, 27482, 990, 747, 5689, 523, 28325, 267, 23817, 3036, 22835, 631, 3201, 2894, 298, 10976, 267, 9677, 344, 7665, 574, 27482, 990, 747, 5689, 523, 28325, 267, 27068, 5689, 523, 28325, 267, 5689, 523, 28325, 267, 9677, 328, 5689, 523, 28325, 267, 9677, 6359, 631, 6545, 574, 27482, 990, 545, 5689, 523, 28325, 267, 9677, 328, 631, 6545, 574, 27482, 990, 747, 5689, 523, 28325, 267, 717, 1640, 326, 12011, 5689, 523, 28325 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6124, 3840, 779, 11599, 3203, 1546, 1723, 5656, 616, 1373, 556, 19960, 1441, 547, 581, 811, 4207, 563, 1103, 606, 4674, 547, 8190, 519, 8978, 6189, 540, 519, 2749, 267, 519, 1715, 3840, 4975, 4972, 540, 8836, 16457, 543, 27264, 9307, 4566, 547, 11177, 519, 5656, 538, 519, 2749, 779, 8978, 8664, 538, 4571, 5025, 1872, 755, 563, 288, 1895, 540, 2199, 5159, 543, 7264, 689, 1585, 10459, 267, 1519, 16413, 267, 26719, 267, 9380, 832, 267, 543, 9380, 1116, 9380, 832, 616, 2921, 851, 538, 519, 1788, 267, 799, 2882, 513, 1007, 1857, 1148, 10380, 1572, 634, 9452, 540, 3203, 563, 1103, 513, 3948, 267, 3203, 5463, 657, 1767, 519, 1007, 2679, 786, 4196, 607, 513, 968, 2908, 17122, 1448, 540, 513, 3677, 5075, 585, 519, 26016, 1436, 540, 519, 25708, 892, 607, 851, 540, 513, 2749, 4204, 4674, 547, 968, 6135, 648, 543, 2981, 519, 2686, 267, 1514, 267, 543, 7499, 1915, 540, 519, 11599, 1715, 3840, 19506, 3034, 763, 3312, 3203, 1546, 1260, 657, 941, 3710, 538, 476, 6245, 275, 543, 616, 835, 540, 1715, 3840, 2749, 779, 9510, 543, 1034, 11599, 5656, 563, 289, 16742, 547, 13686, 1715, 3840, 543, 922, 3638, 2528, 267, 789, 941, 2966, 676, 15751, 918, 23167, 267, 519, 13653, 540, 7073, 626, 6189, 267, 543, 3627, 590, 5424, 590, 1173, 550, 267, 606, 1977, 4056, 563, 5445, 616, 2808, 676, 1082, 547, 581, 519, 1034, 1271, 543, 11599, 540, 782, 3203, 1546, 3712, 657, 563, 763, 2749, 779, 1034, 4583, 4056, 267, 7917, 15584, 267, 849, 2966, 519, 7276, 3557, 8490, 543, 568, 513, 5449, 7022, 540, 519, 1715, 14948, 5980, 540, 11629, 338, 563, 763, 4975, 7027, 5063, 9516, 519, 1788, 779, 6679, 4266, 547, 4873, 476, 1001, 279, 563, 763, 4972, 540, 3203, 5463, 32590, 543, 27264, 568, 2324, 609, 519, 11265, 2146, 543, 519, 2749, 547, 1265, 513, 1259, 547, 946, 519, 8978, 3889, 547, 26016, 1125, 519, 25708, 563, 5445, 849, 616, 3168, 693, 519, 7872, 540, 2679, 513, 31355, 3802, 3118, 689, 519, 3203, 1546, 935, 2679, 547, 519, 1007, 1857, 2230, 563, 763, 1788, 568, 1373, 14102, 998, 519, 12924, 290, 4972, 540, 20088, 543, 28046, 543, 1715, 3840, 3557, 20088, 563, 763, 5159, 3297, 519, 1788, 1331, 7917, 918, 9398, 267, 667, 1014, 324, 966, 517, 674, 584, 22978, 6199, 267, 543, 5261, 590, 269, 8738, 893, 338, 563, 2690, 811, 1344, 267, 3643, 562, 344, 551, 770, 611, 550, 3820, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 1548, 729, 519, 9304, 540, 519, 13814, 1354, 519, 16402, 888, 12585, 281, 30316, 6579, 29308, 454, 2704, 328, 1162, 281, 717, 592, 6577, 267, 8466, 9324, 558, 1588, 267, 717, 592, 6577, 630, 7290, 5566, 21000, 1588, 1070, 2871, 843, 619, 267, 30316, 6579, 29308, 267, 2871, 843, 518 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5970, 596, 2479, 1185, 519, 4743, 602, 596, 616, 711, 5921, 547, 581, 11967, 676, 2576, 888, 2791, 2461, 711, 22973, 267, 616, 596, 888, 3674, 602, 2953, 888, 3674, 621, 2009, 547, 1689, 513, 1268, 779, 2623, 676, 1818, 1864, 610, 1200, 1745, 7938, 20564, 286, 1215, 1455, 568, 713, 4743, 602, 621, 9397, 1582, 21873, 888, 3674, 621, 513, 3972, 532, 12161, 888, 3674, 333, 1406, 621, 3020, 602, 649, 3100, 547, 581, 865, 5059, 593, 11543, 543, 9561, 3972, 888, 9989, 333, 1406, 621, 723, 606, 1764, 593, 938, 2790, 1072, 888, 2005, 24643, 6788, 267, 799, 952, 711, 1558, 267, 1291, 547, 513, 1268, 1373, 13042, 607, 7938, 20564, 610, 21458, 1866, 607, 7938, 20564, 585, 1864, 17017, 563, 307, 6412, 568, 2760, 6591, 610, 4503, 563, 2005, 779, 2241, 952, 649, 1810, 1406, 1331, 6788, 543, 5114, 7496, 563, 307, 6412, 568, 538, 938, 2470, 267, 543, 649, 1590, 3972, 1142, 824, 538, 1931, 547, 960, 543, 2661, 25678, 563, 13914, 827, 621, 281, 952, 649, 1810, 1406, 3972, 938, 30256, 267, 4465, 1406, 602, 1118, 873, 1589, 11874, 827, 721, 888, 12663, 621, 711, 1376, 14921, 888, 2005, 568, 513, 2760, 268, 2056, 8520, 563, 3383, 267, 3079, 540, 10451, 713, 8520, 267, 1946, 711, 3398, 3079, 540, 24584, 888, 307, 6412, 267, 519, 17608, 2262, 267, 568, 865, 16339, 2213, 563, 1692, 3533, 649, 2253, 32198, 1866, 267, 607, 938, 8186, 616, 8036, 547, 1589, 11874, 1101, 267, 1287, 9797, 952, 649, 2119, 563, 3674, 333, 1406, 621, 3020, 602, 3425, 616, 2696, 779, 1655, 5137, 888, 3383, 267, 1946, 1810, 1406, 649, 3972, 1142, 824, 888, 2252, 2576, 1281, 1945, 4636, 267, 3972, 1058, 711, 581, 1031, 547, 17854, 519, 1439, 540, 513, 2078, 563, 2171, 1590, 1174, 519, 1268, 543, 3398, 873, 267, 607, 1134, 607, 3398, 519, 3510, 609, 513, 2462, 2295, 563, 2005, 711, 1152, 2337, 547, 2226, 12560, 1894, 267, 855, 621, 849, 2337, 547, 2226, 4708, 563, 2171, 1287, 2253, 547, 3398, 3388, 607, 621, 568, 269, 12085, 2087, 538, 1004, 779, 2729, 563, 2171, 1522, 2743, 2576, 945, 1264, 906, 938, 642, 756, 525, 563, 10214, 952, 621, 779, 711, 267, 1577, 621, 581, 563, 307, 6412, 786, 711, 581, 30199, 1317, 621, 568, 7543, 547, 2661, 1510, 3972, 532, 1142, 824, 563, 1103, 938, 3232, 2729, 267, 649, 1590, 7048, 593, 835, 1776, 563, 6826, 8326, 568, 513, 1114, 1523, 282, 952, 2576, 3884, 1406, 8348, 547, 1521, 596, 1134, 267, 1810, 1406, 3251, 972, 585, 1279, 563, 10673, 1406, 1205, 9575, 593, 519, 4636, 2427, 540, 3972, 563, 307, 6412, 267, 899, 513, 11777, 267, 814, 1079, 5011, 267, 543, 835, 1058, 581, 3222, 540, 873, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4488, 16688, 22494, 1472, 519, 1158, 1107, 15927, 610, 1507, 1107, 941, 695, 2586, 676, 519, 11452, 6855, 563, 7197, 540, 891, 11615, 616, 2469, 883, 21748, 563, 763, 1158, 814, 6592, 811, 982, 2185, 2929, 2665, 543, 3361, 5176, 1614, 4627, 8536, 7972, 269, 634, 512, 958, 814, 1044, 11014, 2810, 2094, 621, 13264, 856, 689, 3624, 779, 18961, 7315, 2749, 563, 2005, 568, 513, 9814, 543, 1004, 1472, 519, 1158, 616, 1869, 1179, 6819, 593, 875, 543, 1946, 621, 3357, 883, 6228, 563, 303, 7582, 568, 1100, 9868, 563, 7212, 938, 512, 958, 729, 6854, 693, 922, 9803, 3379, 547, 824, 2477, 267, 649, 941, 4299, 17215, 1282, 519, 27579, 1974, 563, 290, 553, 783, 2978, 537, 516, 3464, 4503, 741, 6009, 269, 19198, 941, 4299, 1317, 741, 2707, 540, 4747, 941, 2759, 1055, 563, 5278, 540, 519, 6080, 602, 941, 4299, 1282, 519, 27579, 1331, 282, 9235, 543, 24756, 543, 3560, 338, 630, 1633, 267, 4262, 543, 2011, 1916, 763, 6554, 814, 9307, 606, 2804, 17003, 10189, 4502, 540, 918, 276, 269, 277, 321, 559, 547, 15063, 4213, 5665, 538, 14466, 7699, 1715, 19892, 563, 1607, 6855, 814, 2322, 519, 1158, 593, 513, 1796, 560, 650, 563, 2005, 568, 606, 6397, 2067, 7613, 563, 2171, 666, 1406, 6521, 519, 16620, 547, 4896, 563, 18744, 2470, 6487, 922, 9837, 1134, 563, 2419, 1779, 28545, 9866, 13996, 2676, 20755, 2129, 7711, 918, 4916, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13750, 540, 519, 3203, 281, 2549, 1584, 566, 543, 1160, 560, 12060, 454, 8649, 1584, 566, 568, 711, 513, 14710, 610, 5821, 540, 2126, 267, 855, 606, 2500, 2359, 4640, 585, 1978, 2175, 538, 519, 12963, 2551, 269, 634, 3741, 540, 2359, 267, 2523, 538, 519, 12963, 2551, 267, 723, 711, 4957, 269, 7351, 10551, 2994, 1445, 593, 3246, 606, 6099, 15895, 18215, 585, 14382, 4854, 17501, 269, 1715, 2029, 2488, 6454, 538, 519, 1374, 543, 21753, 540, 14382, 4854, 3457, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5035, 6713, 528, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 16467, 518, 815, 1412, 7343, 548, 5549, 25692, 1038, 1582, 6230, 617, 601, 815, 1412, 300, 272, 262, 7531, 5035, 700, 2194, 641, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 6216, 281, 1193, 267, 2203, 281, 1598, 2187, 1038, 1582, 269, 25912, 815, 6216, 454, 1038, 1582, 6230, 617, 601, 815, 2203, 454, 1038, 1582, 23357, 577, 815, 834, 1428, 262, 277, 4840, 1038, 1582, 269, 15263, 528, 815, 6713, 528, 30800, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 5672, 1504, 815, 700, 2194, 641, 3488, 7343, 548, 3299, 1412, 21547, 1504, 1160, 5073, 825, 1820, 9852, 659, 1504, 269, 25912, 994, 825, 1820, 9852, 659, 1504, 6230, 617, 601, 994, 825, 1820, 9852, 659, 1504, 23357, 577, 994, 825, 1820, 9852, 659, 1504, 269, 15263, 528, 269, 16467, 518, 994, 825, 1820, 9852, 659, 1504, 269, 15263, 528, 6230, 617, 601, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 10610, 1893, 2982, 782, 5686, 540, 4606, 543, 568, 3006, 811, 1271, 982, 9275, 1893, 6993, 12837, 568, 513, 8912, 11132, 4082, 955, 527, 2982, 602, 596, 616, 7874, 547, 1866, 269, 1717, 267, 621, 1281, 711, 2141, 1611, 602, 596, 616, 6126, 269, 589, 12837, 666, 12404, 824, 4606, 267, 899, 10845, 267, 4250, 267, 610, 5855, 269, 769, 1034, 2477, 267, 12162, 3429, 519, 2212, 909, 543, 1524, 2982, 6876, 267, 1247, 24373, 519, 2212, 1797, 602, 596, 798, 711, 3858, 267, 610, 602, 596, 1131, 711, 899, 547, 798, 1945, 269, 1403, 596, 1796, 8066, 707, 7916, 2066, 707, 9221, 267, 596, 949, 581, 7863, 3054, 19203, 3286, 689, 513, 6643, 596, 798, 711, 1616, 256, 1403, 596, 1694, 3168, 693, 519, 1268, 596, 616, 6158, 547, 543, 1287, 2490, 4724, 547, 1864, 267, 621, 2982, 602, 596, 616, 5461, 269, 1403, 596, 5066, 707, 4064, 543, 2490, 707, 2212, 2476, 267, 1034, 2693, 596, 798, 711, 3494, 1018, 596, 616, 6217, 267, 610, 596, 798, 711, 899, 1018, 596, 5873, 269, 9041, 476, 2073, 12162, 3429, 9843, 909, 543, 1524, 2982, 646, 23216, 609, 596, 563, 271, 269, 769, 1034, 2477, 454, 272, 269, 769, 782, 2477, 454, 273, 269, 769, 930, 2477, 454, 274, 269, 769, 5375, 18831, 454, 12585, 281, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4792, 2929, 1296, 3516, 606, 20503, 1835, 14414, 883, 6792, 781, 962, 1075, 27979, 25345, 269, 476, 4037, 260, 540, 782, 1272, 8709, 1639, 267, 855, 1223, 513, 2582, 20503, 723, 1044, 519, 19157, 20740, 286, 28636, 827, 1018, 5949, 1310, 519, 1764, 723, 1044, 1179, 4327, 593, 676, 519, 3621, 2146, 269, 681, 4474, 689, 2518, 8337, 547, 5001, 3595, 28323, 267, 2093, 723, 1044, 2322, 8521, 267, 855, 9039, 723, 1044, 8810, 269, 3973, 538, 476, 1960, 276, 513, 1007, 3069, 10645, 602, 513, 3532, 7088, 1634, 607, 513, 15214, 322, 2033, 3361, 519, 14486, 269, 634, 15214, 322, 2033, 16957, 569, 10301, 476, 736, 5195, 883, 519, 31854, 14459, 543, 814, 2842, 11250, 540, 909, 547, 476, 10384, 5195, 829, 5662, 269, 3467, 1652, 454, 8923, 1224, 519, 1739, 1354, 14202, 532, 454, 2710, 711, 14202, 4376, 799, 596, 798, 711, 1378, 610, 616, 4628, 13931, 547, 14202, 269, 634, 2592, 1058, 711, 2270, 1022, 16770, 8763, 1543, 267, 5198, 23998, 1570, 610, 824, 18086, 6698, 610, 2592, 269, 5457, 281, 18816, 540, 519, 7641, 2593, 3239, 1062, 949, 1267, 538, 596, 1373, 17049, 689, 14202, 532, 2592, 610, 689, 519, 3003, 3135, 1107, 865, 267, 1404, 8799, 543, 2463, 519, 3652, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 6153, 338, 1590, 581, 540, 1697, 2298, 2073, 332, 755, 581, 607, 4330, 593, 519, 10189, 543, 1590, 581, 3514, 585, 1022, 1880, 3483, 1500, 1634, 676, 519, 22673, 1547, 17829, 1614, 3652, 1031, 585, 519, 5370, 596, 4444, 666, 849, 581, 1031, 585, 519, 5370, 596, 1205, 593, 16926, 2073, 528, 585, 519, 5370, 596, 1205, 607, 851, 540, 513, 3028, 269, 1038, 1703, 616, 849, 3652, 799, 4308, 609, 519, 3044, 540, 2533, 596, 1205, 734, 5228, 2073, 25669, 2073, 10177, 767, 8069, 2073, 3333, 4141, 1065, 18311, 3464, 2073, 327, 1515, 323, 816, 619, 543, 26767, 269, 9041, 2995, 596, 1018, 596, 1058, 2503, 689, 1022, 3028, 596, 2628, 585, 269, 1038, 589, 1268, 3246, 513, 3028, 1590, 798, 865, 281, 1038, 4534, 4415, 10257, 1416, 543, 5578, 1547, 2791, 1058, 2503, 513, 1697, 3044, 540, 960, 26206, 1547, 589, 1007, 2777, 1058, 723, 2786, 6821, 543, 519, 8122, 1590, 711, 13451, 1547, 1038, 4534, 20751, 513, 10257, 942, 269, 589, 6300, 1058, 711, 1491, 1614, 3275, 547, 7816, 707, 7641, 269, 1411, 666, 2141, 3858, 2390, 513, 12032, 942, 609, 519, 18261, 540, 519, 3028, 269, 1038, 1411, 2073, 1492, 6075, 2073, 332, 755, 2628, 281, 1038, 4534, 288, 10257, 5279, 585, 513, 3028, 267, 1141, 1100, 3902, 814, 1044, 6378, 538, 4434, 1547, 288, 911, 1457, 666, 711, 2503, 513, 1804, 8569, 585, 513, 1507, 2816, 269, 1548, 1058, 519, 18261, 798, 950, 5356, 513, 3028, 888, 271, 269, 1261, 1058, 3313, 519, 12032, 942, 5128, 563, 272, 269, 1261, 1058, 1683, 1863, 18203, 1369, 1614, 3275, 563, 273, 269, 1261, 1058, 1118, 2386, 519, 3028, 10742, 1697, 4441, 563, 274, 269, 1261, 1058, 3914, 606, 6876, 593, 519, 8569, 609, 1010, 4600, 563, 12585, 281, 476, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 4569, 10965, 777, 692, 1012, 16534, 519, 3830, 585, 1269, 343, 10608, 4399, 8218, 15204, 2410, 331, 348, 476, 2420, 1535, 284, 2735, 8607, 1535, 284, 1422, 754, 15204, 4151, 8382, 1934, 692, 2971, 5254, 7968, 476, 272, 692, 10112, 636, 6877, 476, 272, 269, 634, 3830, 2016, 568, 1269, 2420, 343, 815, 476, 2735, 10608, 476, 273, 269, 1284, 991, 547, 4194, 585, 1269, 343, 16859, 2971, 5254, 7968, 476, 273, 692, 2414, 20586, 1269, 343, 8961, 649, 991, 547, 7941, 1312, 5011, 540, 519, 3830, 676, 476, 2420, 269, 4399, 2765, 346, 2420, 343, 2410, 2420, 348, 815, 1422, 2765, 346, 2735, 2410, 2420, 10592, 2971, 5254, 7968, 476, 274, 692, 8245, 680, 1518, 519, 2451, 2427, 540, 519, 3830, 269, 1269, 343, 815, 1422, 2765, 346, 2735, 2410, 2420, 10592, 7462, 25663, 28513, 692, 8110, 845, 519, 6498, 593, 519, 1318, 2427, 540, 519, 3830, 269, 1269, 343, 815, 476, 280, 259, 634, 3070, 547, 519, 3830, 568, 1269, 343, 815, 476, 280, 10608 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5035, 8827, 912, 825, 1948, 7711, 12407, 2715, 15759, 518, 348, 1535, 454, 825, 1948, 7711, 8873, 2715, 2692, 18978, 8679, 825, 1219, 568, 21595, 30308, 4311, 267, 1535, 2187, 1038, 952, 1535, 283, 271, 912, 2018, 2132, 8771, 454, 1038, 952, 1535, 2525, 271, 912, 2018, 2132, 6936, 454, 1038, 1003, 815, 476, 272, 454, 1038, 1247, 1535, 270, 11133, 13843, 476, 1015, 912, 2018, 1003, 2608, 284, 1015, 454, 1038, 1247, 1535, 912, 2018, 1164, 815, 1535, 270, 11133, 454, 2018, 1970, 815, 1535, 260, 1015, 454, 2018, 952, 1164, 256, 284, 869, 912, 3546, 2132, 8771, 454, 2018, 1535, 20699, 1164, 265, 11133, 454, 2018, 1003, 1315, 284, 476, 1911, 454, 2018, 1535, 1315, 284, 1015, 454, 1038, 2132, 6936, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 513, 815, 8827, 4590, 825, 1449, 815, 1496, 14338, 272, 267, 11277, 4510, 274, 2641, 267, 13199, 267, 1321, 2639, 825, 585, 1775, 538, 1449, 912, 1038, 1820, 513, 18994, 21595, 30308, 9217, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 25373, 1362, 585, 1250, 3014, 454, 5814, 5299, 7531, 5035, 25373, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2450, 267, 6445, 25507, 2187, 1038, 1582, 9884, 5954, 267, 1582, 269, 19417, 815, 2450, 454, 1038, 1582, 269, 9795, 815, 20886, 32476, 19709, 788, 32476, 6600, 650, 264, 585, 586, 538, 2039, 4311, 269, 19417, 13580, 585, 1535, 538, 2039, 4311, 9884, 5954, 264, 6540, 825, 1219, 1205, 15481, 4311, 2187, 1038, 2132, 1582, 9884, 5954, 267, 1582, 269, 19417, 692, 825, 1219, 1205, 4311, 267, 1535, 267, 586, 2187, 1038, 2132, 1582, 269, 9795, 20572, 6012, 344, 6540, 825, 1219, 2322, 4311, 267, 1535, 267, 586, 267, 1871, 2187, 1038, 1582, 269, 9795, 20572, 6012, 344, 316, 815, 5299, 6983, 4878, 263, 7407, 2020, 825, 1219, 1397, 4311, 2187, 1038, 1820, 4311, 269, 9795, 2020, 825, 1219, 5182, 4311, 267, 1535, 267, 586, 267, 678, 2187, 1038, 5727, 15675, 338, 513, 5182, 8032, 630, 338, 13645, 29352, 476, 3393, 5232, 264, 1858, 12163, 1038, 585, 561, 343, 538, 2039, 8987, 337, 267, 678, 266, 272, 2187, 2018, 585, 11430, 538, 2039, 8987, 337, 1341, 2612, 10857, 343, 1070, 678, 910, 2612, 10857, 343, 264, 1341, 476, 272, 2187, 3546, 6556, 1535, 266, 331, 343, 267, 586, 266, 569, 267, 1582, 10947, 3287, 266, 331, 343, 267, 586, 266, 569, 2020, 825, 1219, 6439, 4311, 267, 1535, 267, 586, 267, 530, 267, 554, 2187, 1038, 5727, 15675, 338, 513, 14328, 1858, 12163, 1038, 585, 11430, 538, 2039, 12169, 267, 586, 1341, 554, 2187, 2018, 585, 561, 343, 538, 2039, 3287, 267, 1535, 266, 342, 2187, 3546, 6556, 561, 343, 267, 11430, 267, 1582, 10947, 10857, 343, 267, 11430, 2020, 825, 1219, 1899, 4311, 267, 1535, 272, 267, 586, 272, 267, 1535, 273, 267, 586, 273, 2187, 1038, 5727, 289, 637, 523, 5069, 781, 1899, 5690, 12163, 1038, 1948, 570, 7495, 302, 674, 1460, 713, 865, 621, 1568, 538, 782, 8846, 454, 1038, 20093, 815, 2612, 12169, 273, 910, 586, 272, 1315, 1535, 273, 910, 1535, 272, 994, 1038, 5470, 815, 476, 271, 269, 271, 454, 1038, 586, 815, 586, 272, 454, 1038, 585, 1535, 538, 2039, 3287, 272, 267, 1535, 273, 2187, 2018, 6556, 1535, 267, 586, 267, 1582, 10947, 3287, 267, 586, 994, 2018, 5470, 6834, 20093, 454, 2018, 952, 5470, 13843, 476, 271, 269, 276, 912, 3546, 586, 6834, 476, 272, 454, 3546, 5470, 20699, 476, 272, 692, 825, 1219, 782, 4311, 2187, 1038, 5727, 15675, 338, 3388, 1369, 519, 5119, 12163, 1038, 2132, 1582, 269, 5550, 263, 271, 267, 476, 271, 267, 1582, 9884, 5954, 267, 1582, 269, 19417, 2020, 825, 1219, 6445, 4311, 267, 30775, 267, 1871, 2187, 1038, 5727, 293, 1571, 519, 5697, 1858, 609, 835, 1871, 12163, 1038, 585, 1775, 538, 30775, 912, 2018, 1582, 269, 1584, 9217, 314, 271, 3910, 1775, 314, 272, 3910, 1871, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 20587, 1635, 11730, 16754, 692, 763, 20587, 3435, 666, 581, 538, 519, 1106, 540, 2597, 270, 14179, 2541, 4939, 630, 342, 339, 270, 14179, 4939, 610, 530, 23218, 4939, 1070, 4320, 270, 14179, 2541, 4939, 630, 14179, 270, 14179, 4939, 610, 642, 23218, 4939, 264, 610, 267, 2597, 270, 7076, 4939, 630, 342, 339, 11320, 339, 4939, 610, 530, 11320, 4939, 1040, 769, 1142, 2013, 267, 519, 5834, 538, 6871, 568, 7229, 607, 519, 6824, 540, 519, 4320, 610, 2597, 540, 519, 1151, 1393, 1644, 547, 519, 2698, 4320, 610, 2597, 610, 540, 519, 3070, 269, 8253, 1152, 585, 513, 3070, 1141, 5834, 2115, 547, 581, 6829, 538, 4320, 2600, 630, 341, 23218, 8472, 950, 519, 1151, 1393, 568, 513, 5277, 267, 855, 621, 568, 849, 10858, 547, 519, 19362, 538, 2597, 4559, 543, 519, 14009, 538, 4320, 4559, 543, 1572, 2597, 270, 14179, 2541, 2600, 780, 24127, 2600, 815, 11730, 540, 1151, 1393, 1315, 4320, 540, 3070, 1535, 476, 1911, 692, 763, 4542, 12211, 547, 4320, 6824, 676, 12270, 676, 476, 1911, 30515, 7078, 476, 272, 692, 29991, 519, 4320, 270, 14179, 2541, 2600, 3070, 1500, 676, 9256, 476, 1839, 20853, 540, 19844, 609, 2614, 1216, 547, 3132, 476, 1220, 20853, 540, 519, 3070, 780, 11405, 692, 11693, 6724, 616, 692, 24127, 540, 1151, 1393, 568, 476, 1839, 20853, 692, 24127, 540, 3070, 568, 476, 1220, 20853, 692, 27802, 3482, 519, 2418, 538, 519, 2016, 4542, 10484, 24127, 2600, 815, 4320, 540, 1151, 1393, 1315, 14179, 2541, 540, 3070, 1535, 476, 1911, 30515, 284, 476, 1839, 20853, 1315, 476, 1220, 20853, 1535, 476, 1911, 30515, 284, 476, 1321, 269, 276, 4939, 692, 7078, 476, 273, 692, 288, 3070, 568, 5423, 676, 4744, 6295, 476, 3445, 20853, 540, 7250, 25681, 538, 2614, 1216, 547, 1118, 476, 4968, 271, 20853, 540, 3070, 269, 10576, 519, 5834, 540, 519, 7250, 25681, 3070, 780, 11405, 692, 763, 2016, 6724, 616, 692, 24127, 540, 1151, 1393, 568, 476, 3445, 20853, 692, 24127, 540, 3070, 568, 476, 4968, 271, 20853, 692, 27802, 3482, 519, 2418, 538, 519, 2016, 4542, 10484, 24127, 2600, 815, 4320, 540, 1151, 1393, 1315, 14179, 2541, 540, 3070, 1535, 476, 1911, 30515, 284, 476, 3445, 20853, 270, 476, 4968, 271, 332, 299, 1535, 476, 1911, 30515, 24127, 2600, 815, 476, 274, 4939 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 5851, 543, 12567, 281, 1215, 547, 1205, 7759, 540, 2520, 1188, 657, 269, 5590, 856, 20202, 20637, 269, 3509, 11641, 1852, 3549, 1118, 2027, 23287, 21181, 602, 15972, 3677, 32415, 2249, 267, 899, 28499, 267, 865, 596, 666, 1205, 873, 856, 540, 707, 1753, 1510, 2348, 547, 6968, 585, 873, 269, 9255, 513, 1906, 540, 891, 20637, 1472, 519, 4395, 543, 1394, 9885, 267, 25810, 9486, 267, 18109, 1769, 26892, 267, 543, 519, 15943, 540, 519, 25880, 269, 3097, 271, 269, 2334, 1259, 267, 519, 2520, 1188, 657, 4465, 1405, 2097, 883, 3346, 609, 1022, 13897, 610, 11935, 269, 1411, 949, 1265, 2520, 1188, 657, 16246, 936, 519, 21181, 543, 13941, 593, 873, 563, 272, 269, 6744, 519, 20637, 513, 7008, 2053, 513, 1554, 547, 1294, 2436, 789, 4312, 9575, 4376, 269, 1496, 11357, 25074, 316, 25529, 344, 20637, 946, 3532, 1350, 1132, 602, 1106, 513, 2178, 6125, 593, 3346, 563, 273, 269, 3680, 19788, 610, 5870, 2520, 1188, 657, 676, 9319, 519, 15943, 865, 519, 9329, 666, 28201, 269, 634, 6464, 538, 891, 20637, 948, 1832, 2520, 1188, 657, 856, 540, 519, 13452, 543, 1683, 3908, 1072, 2640, 563, 274, 269, 1496, 11357, 25074, 316, 17667, 15273, 2583, 15972, 2520, 1188, 657, 1732, 982, 22247, 2326, 267, 971, 607, 8970, 22596, 267, 12566, 12450, 267, 610, 18720, 269, 901, 2306, 621, 3592, 24631, 547, 946, 513, 15972, 811, 982, 2899, 563, 12585, 281, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 1715, 4681, 2303, 602, 2634, 344, 3556, 3756, 971, 607, 4579, 8115, 949, 17303, 476, 6318, 2504, 540, 513, 1883, 1973, 1591, 1519, 538, 8165, 1055, 4576, 269, 2991, 476, 3445, 3764, 540, 1404, 267, 8115, 5716, 1185, 2799, 2157, 540, 4761, 476, 2281, 267, 2687, 547, 519, 1382, 4080, 2063, 3018, 269, 589, 11001, 267, 27339, 267, 6594, 8115, 5716, 689, 513, 2021, 781, 8115, 8630, 269, 2701, 8359, 8115, 5716, 1317, 519, 3014, 2882, 1983, 18398, 476, 513, 851, 540, 519, 2634, 1572, 519, 21053, 565, 8632, 16794, 269, 2423, 17067, 3662, 1382, 5267, 602, 713, 851, 540, 519, 2634, 949, 1404, 513, 1909, 538, 519, 4761, 1062, 269, 634, 4681, 616, 1759, 593, 1973, 5439, 6537, 689, 476, 1321, 2021, 5716, 269, 4256, 1973, 5439, 4951, 513, 4473, 538, 2157, 540, 3043, 1973, 2281, 1572, 570, 2281, 1310, 789, 5129, 8115, 585, 476, 3445, 3764, 269, 570, 2281, 616, 3812, 676, 519, 555, 2096, 639, 14189, 476, 543, 1031, 676, 519, 4761, 1062, 1996, 3676, 269, 634, 570, 1591, 1293, 29860, 3648, 538, 5216, 540, 519, 8115, 5716, 267, 543, 5594, 538, 519, 824, 2185, 269, 634, 4681, 3565, 547, 519, 2361, 540, 5778, 9404, 684, 1108, 2073, 4171, 2012, 9356, 519, 1249, 602, 519, 8401, 1062, 543, 519, 4761, 1062, 616, 711, 2808, 5094, 543, 9678, 476, 1949, 269, 1548, 3884, 1405, 2312, 568, 2436, 519, 948, 547, 519, 4761, 1062, 689, 606, 2534, 899, 4579, 8115, 568, 9434, 610, 10151, 269, 898, 568, 849, 711, 2312, 2436, 519, 2333, 538, 570, 2281, 1223, 6368, 581, 6098, 1996, 2027, 10108, 269, 27339, 8359, 547, 1353, 8115, 5716, 585, 519, 1382, 1317, 567, 9041, 476, 4586, 271, 269, 519, 5716, 616, 1434, 2828, 540, 1200, 338, 454, 272, 269, 1352, 14560, 4730, 8115, 454, 273, 269, 713, 3014, 22262, 513, 851, 540, 519, 2634, 602, 814, 1945, 547, 798, 609, 4761, 1062, 454, 274, 269, 1352, 568, 513, 15931, 9614, 267, 945, 13333, 1200, 8115, 8630, 1134, 454, 12585, 281, 476, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 267, 538, 519, 4411, 3338, 540, 27584, 4997, 267, 6576, 267, 5030, 513, 2370, 8004, 3957, 715, 11986, 269, 2701, 729, 851, 540, 519, 715, 523, 564, 14316, 267, 945, 5156, 602, 3388, 538, 2470, 1185, 513, 6891, 269, 4173, 1655, 3659, 729, 513, 556, 785, 17621, 28419, 3957, 15570, 17427, 269, 8625, 789, 5129, 1851, 519, 4054, 267, 8933, 267, 543, 6777, 344, 15113, 780, 3080, 1554, 267, 1247, 4730, 2282, 513, 5757, 267, 715, 11986, 8068, 1945, 8966, 269, 589, 4224, 8604, 547, 1847, 593, 922, 1378, 256, 5080, 1440, 2213, 267, 1352, 4280, 15570, 17427, 952, 646, 4718, 621, 1932, 269, 834, 8133, 267, 715, 11986, 2437, 1767, 15570, 17427, 267, 834, 712, 11937, 3494, 602, 7725, 723, 14326, 1572, 1412, 1805, 821, 4658, 9538, 9320, 596, 4362, 835, 2221, 15323, 301, 11986, 2219, 827, 1200, 1007, 6602, 543, 7691, 875, 1271, 621, 729, 547, 2463, 782, 1919, 1472, 1200, 1765, 2254, 1152, 2831, 899, 15570, 17427, 855, 849, 2371, 267, 7725, 267, 543, 2067, 2609, 971, 607, 2842, 543, 6607, 269, 1306, 789, 4797, 3695, 267, 789, 3357, 2066, 513, 4190, 23863, 267, 16213, 3636, 4778, 2066, 519, 2244, 269, 715, 11986, 25343, 621, 543, 26866, 1229, 267, 834, 14188, 596, 267, 6129, 2696, 1701, 1656, 1287, 3168, 909, 693, 519, 6801, 17729, 538, 519, 4158, 2287, 6607, 267, 1352, 9684, 539, 519, 9855, 31001, 607, 1134, 780, 30342, 18507, 585, 1200, 4276, 609, 2470, 267, 715, 11986, 4941, 3025, 547, 1174, 519, 2956, 540, 8156, 1169, 3693, 609, 11587, 269, 1717, 267, 711, 2484, 2476, 267, 930, 2845, 7970, 9709, 547, 2759, 1524, 7404, 4054, 27200, 519, 10103, 269, 1879, 715, 11986, 1336, 856, 267, 1352, 5433, 8909, 543, 14126, 269, 681, 5241, 1394, 1753, 267, 1352, 3838, 1200, 4145, 609, 1200, 8797, 20516, 267, 27118, 780, 294, 8681, 15948, 27118, 19557, 5402, 1354, 4687, 513, 9670, 13414, 269, 834, 2791, 917, 267, 1250, 15210, 267, 649, 3112, 3247, 1689, 4625, 267, 6862, 666, 938, 14326, 2061, 1346, 20743, 689, 1373, 2759, 269, 1809, 707, 2648, 585, 2470, 949, 8300, 1866, 547, 8190, 1018, 3788, 1310, 519, 19883, 269, 6884, 4245, 2097, 18549, 282, 1832, 14637, 7279, 543, 14696, 585, 938, 1158, 1701, 2060, 602, 6397, 2943, 3407, 5813, 267, 715, 11986, 4121, 602, 1620, 543, 8296, 1223, 1291, 547, 3152, 7326, 982, 8806, 7303, 24379, 4093, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 18658, 616, 519, 3661, 1949, 540, 519, 715, 523, 564, 1004, 538, 27584, 4997, 267, 6576, 888, 763, 715, 523, 564, 1004, 540, 27584, 4997, 267, 6576, 723, 513, 3661, 1062, 602, 568, 1918, 2065, 538, 2470, 269, 1358, 3494, 602, 3388, 538, 2470, 910, 2831, 267, 2371, 267, 7725, 267, 543, 1256, 519, 2842, 543, 519, 6607, 910, 814, 513, 6891, 602, 1590, 581, 15197, 543, 28165, 269, 1358, 849, 3494, 538, 513, 3099, 540, 24587, 267, 1519, 519, 5601, 540, 519, 3141, 543, 519, 15831, 540, 519, 7599, 267, 945, 616, 5156, 547, 1852, 519, 9979, 540, 1554, 543, 3781, 269, 634, 715, 523, 564, 1004, 849, 3494, 538, 22660, 14326, 267, 945, 616, 5156, 547, 4585, 936, 543, 2149, 741, 2713, 18939, 269, 769, 1840, 547, 891, 16750, 4978, 267, 519, 715, 523, 564, 1004, 849, 723, 513, 3638, 2245, 540, 695, 16120, 1143, 267, 538, 799, 519, 695, 16120, 6411, 607, 513, 18657, 1807, 1063, 519, 5289, 543, 2168, 10600, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 1205, 5091, 2700, 5416, 267, 536, 8029, 825, 4087, 815, 2715, 257, 272, 9899, 630, 272, 267, 476, 272, 1070, 834, 273, 9899, 630, 272, 267, 476, 273, 1070, 834, 274, 9899, 630, 272, 267, 476, 274, 1070, 1477, 3546, 834, 275, 9899, 630, 273, 267, 476, 272, 1070, 834, 276, 9899, 630, 273, 267, 476, 273, 1070, 834, 277, 9899, 630, 273, 267, 476, 274, 1070, 1477, 3546, 834, 278, 9899, 630, 274, 267, 476, 272, 1070, 834, 279, 9899, 630, 274, 267, 476, 273, 1070, 834, 280, 9899, 630, 274, 267, 476, 274, 1070, 1477, 3546, 834, 265, 9899, 630, 275, 267, 476, 272, 1070, 834, 271, 9899, 630, 275, 267, 476, 273, 1070, 834, 258, 9899, 630, 275, 267, 476, 274, 14587, 1477, 825, 2132, 2612, 10857, 6327, 314, 320, 6012, 271, 316, 910, 4087, 314, 321, 6012, 271, 8079, 1341, 2612, 10857, 6327, 314, 320, 6012, 272, 316, 910, 4087, 314, 321, 6012, 272, 29573, 5897, 3698, 3070, 3799, 13246, 267, 1688, 8029, 825, 2626, 815, 834, 29177, 825, 700, 8518, 815, 834, 265, 29177, 825, 681, 8518, 815, 834, 258, 29177, 825, 585, 1775, 538, 2338, 6769, 1038, 952, 1775, 538, 1496, 272, 267, 476, 275, 267, 476, 278, 316, 6769, 2018, 2626, 6834, 834, 299, 29177, 2018, 700, 8518, 815, 1193, 9217, 3418, 1038, 8640, 1775, 538, 1496, 274, 267, 476, 277, 267, 476, 280, 316, 6769, 2018, 2626, 6834, 834, 305, 29177, 2018, 681, 8518, 815, 1193, 9217, 3418, 1038, 3116, 6769, 2018, 952, 1205, 5091, 2700, 27331, 8518, 267, 1193, 9217, 4297, 2652, 1205, 5091, 2700, 27562, 8518, 267, 1193, 9217, 264, 8029, 3546, 952, 1688, 2652, 834, 2431, 257, 6769, 7386, 2626, 6834, 834, 305, 29177, 7386, 681, 8518, 815, 1193, 9217, 3418, 3546, 3116, 6769, 7386, 2626, 6834, 834, 299, 29177, 7386, 700, 8518, 815, 1193, 9217, 3418, 2018, 8640, 1205, 5091, 2700, 27331, 8518, 267, 1193, 9217, 4297, 3436, 1205, 5091, 2700, 27562, 8518, 267, 1193, 9217, 264, 8029, 3546, 2626, 6834, 834, 305, 29177, 3546, 681, 8518, 815, 1193, 9217, 3418, 2018, 3116, 6769, 3546, 2626, 6834, 834, 299, 29177, 3546, 700, 8518, 815, 1193, 9217, 3418, 4449, 1477, 17264, 1477, 825, 2132, 2626 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10666, 476, 272, 538, 476, 4968, 1453, 723, 1826, 476, 272, 3987, 269, 5753, 6108, 909, 547, 476, 3374, 3108, 829, 3018, 693, 1153, 267, 865, 5883, 741, 3987, 1247, 972, 568, 1271, 585, 1312, 2110, 268, 543, 1279, 3856, 1072, 563, 2005, 779, 2760, 1932, 2038, 610, 1932, 3735, 547, 2911, 547, 707, 1126, 610, 7141, 827, 519, 4220, 540, 7296, 269, 3509, 1453, 1376, 7296, 607, 2038, 607, 6103, 476, 277, 269, 2422, 6158, 2798, 602, 616, 3617, 547, 707, 1126, 779, 2085, 563, 30144, 267, 2407, 3856, 9002, 666, 2356, 979, 1753, 689, 519, 6413, 28069, 1063, 476, 2190, 543, 476, 4366, 3108, 1310, 4332, 269, 898, 779, 3339, 547, 1745, 8401, 950, 596, 1101, 3142, 707, 4816, 1753, 269, 3371, 616, 930, 4388, 547, 948, 596, 5965, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]