olm/olm-december-2022-tokenized-1024 · Datasets at Hugging Face

input_ids sequence	attention_mask sequence	special_tokens_mask sequence
[ 0, 27064, 74, 358, 17, 13540, 82, 16954, 18058, 396, 5826, 13, 35323, 41230, 72, 457, 20581, 1444, 1565, 30, 13669, 74, 358, 17, 13540, 82, 16954, 18058, 3299, 35323, 41230, 72, 457, 35323, 17963, 1116, 31, 3904, 377, 24476, 13, 385, 225, 69, 1343, 700, 333, 3446, 347, 292, 6749, 362, 16, 225, 88, 76, 73, 22546, 292, 39012, 513, 17, 13540, 82, 17963, 1116, 18, 1563, 203, 2177, 2154, 3446, 347, 292, 6749, 362, 291, 1814, 4472, 819, 225, 88, 76, 73, 2371, 292, 522, 3223, 1383, 327, 70, 513, 17, 13540, 82, 41230, 72, 457, 18, 25024, 74, 644, 652, 5904, 359, 225, 88, 76, 73, 19066, 811, 225, 88, 76, 73, 4027, 292, 310, 367, 600, 9348, 42159, 358, 17, 32062, 562, 16, 596, 2421, 286, 1209, 225, 88, 76, 73, 3044, 5686, 291, 28834, 292, 225, 88, 76, 73, 1840, 1145, 347, 31, 225, 88, 76, 73, 617, 77, 82, 341, 913, 3198, 292, 41230, 72, 457, 16, 4298, 317, 513, 17, 13540, 82, 17963, 1116, 3299, 16, 16753, 286, 13662, 84, 6151, 383, 225, 88, 76, 73, 3696, 292, 39012, 513, 17, 13540, 82, 18, 409, 7641, 16, 596, 385, 4818, 326, 279, 15703, 286, 25673, 6749, 362, 16, 30195, 13597, 17836, 291, 2427, 1814, 4472, 290, 47886, 1857, 6749, 362, 16, 573, 31624, 325, 3143, 2494, 1814, 10575, 18, 1979, 269, 21324, 358, 17, 32062, 562, 16, 458, 1353, 36251, 81, 5011, 1485, 476, 5114, 16, 554, 292, 522, 7106, 16, 359, 11970, 16, 4721, 25024, 74, 225, 457, 17, 13540, 82, 2896, 517, 225, 88, 76, 73, 29620, 3525, 292, 1145, 347, 18, 409, 7641, 568, 4308, 225, 88, 76, 73, 4159, 292, 39012, 513, 17, 13540, 82, 18, 1563, 203, 2598, 39012, 513, 17, 13540, 82, 526, 2371, 396, 4644, 1814, 10559, 873, 36251, 81, 5011, 1485, 476, 5114, 1981, 286, 39336, 286, 949, 1945, 292, 522, 3198, 290, 9430, 3544, 292, 383, 16089, 75, 292, 13662, 84, 6151, 18, 25024, 74, 225, 457, 17, 13540, 82, 13079, 522, 16468, 505, 290, 12501, 522, 10980, 18, 409, 48704, 292, 39336, 16, 10120, 431, 36251, 81, 5011, 1485, 476, 5114, 526, 3923, 1420, 16, 3884, 25024, 74, 225, 457, 17, 13540, 82, 519, 1830, 16, 517, 458, 882, 449, 32057, 1364, 458, 385, 5322, 291, 307, 1999, 6749, 362, 18, 364, 566, 29655, 39336, 385, 2123, 286, 4342, 32695, 18, 203, 203, 15059, 32695, 1837, 1945, 292, 21728, 37853, 17, 1759, 321, 396, 12392, 7654, 13, 517, 25024, 74, 225, 457, 17, 13540, 82, 2421, 286, 949, 658, 13662, 84, 6151, 16, 541, 458, 2632, 522, 3845, 314, 3404, 513, 17, 13540, 82, 10931, 11, 457, 383, 225, 88, 76, 73, 1357, 292, 279, 7733, 286, 3373, 4342, 32695, 30, 544, 1112, 291, 279, 1389, 1689, 378, 2512, 1740, 46192, 378, 2512, 396, 31764, 295, 30, 225, 154, 229, 25417, 27339, 26425, 22250, 260, 24984, 14726, 38900, 13, 827, 25024, 74, 225, 457, 17, 13540, 82, 385, 9561, 18, 9365, 458, 4734, 326, 1378, 5269, 383, 14718, 358, 17, 55, 19663, 396, 31764, 295, 30, 22250, 108, 19697, 22250, 116, 19697, 153, 120, 14726, 26425, 13, 1689, 13662, 84, 6151, 16, 827, 458, 385, 568, 9561, 31, 458, 1981, 785, 286, 6749, 362, 290, 2632, 2316, 9617, 286, 4342, 32695, 4009, 522, 18089, 16, 573, 385, 6241, 18, 203, 203, 55, 382, 74, 225, 457, 17, 13540, 82, 3904, 423, 39419, 16, 290, 522, 3845, 314, 3404, 513, 17, 13540, 82, 10931, 11, 457, 13663, 950, 291, 377, 24476, 18, 203, 203, 1987, 203, 203, 16741, 203, 203, 21, 24476, 5850, 203, 62, 1423, 333, 1145, 12959, 292, 6749, 362, 203, 38794, 87, 292, 225, 88, 76, 73, 25057, 2664, 203, 1996, 88, 76, 17, 4577, 5850, 423, 39419, 203, 10884, 292, 2420, 8061, 203, 1996, 88, 76, 17, 4577, 49581, 291, 225, 88, 76, 73, 6707, 3551, 203, 56, 523, 33933, 5850, 291, 9662, 2, 0, 31474, 11384, 466, 3166, 5314, 18293, 318, 225, 69, 225, 941, 20611, 16820, 573, 4614, 291, 430, 306, 3150, 4521, 291, 16885, 29307, 16, 3350, 18, 225, 409, 16820, 318, 225, 69, 11667, 17, 1677, 37919, 16820, 16, 13059, 431, 11384, 13753, 293, 18551, 8797, 290, 14964, 337, 775, 384, 18, 6688, 36483, 26038, 292, 2171, 18, 409, 1179, 16820, 17145, 364, 317, 368, 20431, 290, 957, 32158, 1012, 2435, 382, 7515, 573, 14964, 7116, 225, 88, 76, 73, 9107, 545, 3931, 18, 409, 16820, 385, 225, 88, 76, 73, 4807, 17166, 351, 18, 37, 430, 2142, 16414, 16, 2260, 292, 225, 88, 76, 73, 15872, 10336, 292, 225, 88, 76, 73, 430, 306, 3150, 20383, 291, 225, 88, 76, 73, 1846, 8587, 87, 18, 203, 203, 1987, 203, 203, 3591, 568, 203, 47, 3992, 284, 14969, 18293, 203, 203, 41, 306, 3150, 4521, 203, 4883, 886, 291, 16885, 29307, 203, 43, 768, 498, 5593, 29942, 328, 321, 203, 38, 12009, 3166, 3703, 2, 0, 50, 284, 14969, 324, 4970, 9069, 318, 225, 69, 7970, 292, 361, 9309, 78, 9484, 364, 2571, 292, 755, 6076, 356, 518, 4010, 18, 203, 203, 18438, 203, 38517, 292, 15533, 14969, 324, 3037, 2116, 16, 10731, 11837, 396, 7068, 18, 29, 3059, 7748, 22, 3155, 16537, 102, 203, 203, 13403, 203, 12175, 30, 389, 438, 81, 2895, 4970, 203, 17480, 30, 225, 1524, 1365, 354, 35670, 3392, 6101, 69, 203, 10371, 30, 361, 9309, 78, 9484, 4970, 203, 11693, 30, 225, 16101, 480, 25071, 7876, 15309, 290, 7880, 44124, 382, 3392, 94, 370, 1021, 203, 203, 35370, 203, 2598, 225, 88, 76, 73, 8338, 16016, 10887, 16, 15533, 14969, 324, 4970, 644, 225, 69, 3650, 292, 3275, 16, 47676, 18, 203, 203, 13480, 203, 15533, 14969, 324, 16877, 3049, 18, 203, 15533, 14969, 324, 396, 5953, 296, 19433, 13, 2720, 1925, 18, 203, 15533, 14969, 324, 8213, 4682, 86, 14636, 18, 203, 15533, 14969, 324, 396, 10791, 9484, 13, 2720, 1925, 18, 203, 37640, 354, 6343, 48015, 14117, 1925, 18, 203, 15533, 14969, 324, 48015, 18, 14117, 1925, 18, 203, 11659, 33817, 3995, 69, 48015, 18, 14117, 1925, 18, 203, 7880, 34250, 324, 2720, 1925, 18, 203, 7880, 34250, 324, 48015, 18, 14117 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1204, 18, 203, 45593, 356, 281, 2534, 18, 14117, 1925, 203, 21438, 88, 354, 6343, 29967, 328, 30194, 7886, 4682, 86, 14636, 203, 203, 26357, 17155, 290, 280, 9717, 1239, 203, 50, 284, 14969, 324, 290, 7880, 34250, 324, 318, 225, 88, 76, 73, 1179, 12761, 291, 225, 88, 76, 73, 7970, 18, 37640, 354, 6343, 280, 26398, 203, 203, 23658, 290, 288, 275, 94, 287, 203, 10791, 9484, 16, 389, 3032, 620, 30500, 16, 781, 275, 35154, 41095, 16, 225, 203, 87, 6183, 33817, 3995, 69, 16, 50, 11659, 33817, 3995, 69, 16, 378, 2708, 567, 16, 3574, 5562, 322, 18, 2699, 16814, 9484, 37640, 354, 6343, 18, 203, 203, 1987, 203, 203, 3627, 677, 292, 361, 9309, 78, 9484, 364, 2571, 2, 0, 29100, 995, 7162, 2127, 21492, 71, 4197, 17, 38, 9267, 47648, 396, 37801, 1180, 16324, 13, 385, 225, 69, 10624, 3702, 18, 332, 26592, 292, 225, 88, 76, 73, 18573, 11111, 1771, 14490, 25959, 1000, 16, 458, 37160, 286, 225, 88, 76, 73, 1851, 2198, 292, 3146, 291, 14106, 18, 203, 203, 15731, 203, 203, 9035, 969, 203, 203, 38, 9267, 47648, 526, 3223, 16, 225, 69, 10624, 17516, 329, 16, 385, 44419, 286, 42874, 650, 8609, 77, 47648, 385, 2176, 18, 8609, 77, 47648, 526, 2974, 7208, 286, 1085, 346, 633, 1528, 18, 409, 6926, 1737, 225, 88, 76, 73, 5316, 10724, 3689, 279, 2516, 326, 8609, 77, 47648, 16, 522, 2974, 290, 522, 15549, 286, 7789, 1576, 18, 1591, 940, 9556, 544, 1100, 225, 69, 836, 286, 9732, 16, 13780, 291, 18317, 18, 203, 203, 38, 9267, 47648, 7051, 383, 225, 88, 76, 73, 5029, 292, 12536, 4950, 291, 22943, 16, 290, 7640, 291, 17003, 18, 731, 3689, 798, 17624, 981, 225, 88, 76, 73, 2391, 16, 15131, 13117, 292, 25859, 16, 20291, 2404, 383, 225, 88, 76, 73, 2090, 4680, 16, 22943, 18, 731, 385, 6081, 225, 69, 7428, 6677, 292, 21121, 28972, 4395, 16, 225, 88, 76, 73, 10624, 12497, 2090, 4680, 292, 12536, 4950, 18, 203, 203, 10571, 2446, 3299, 203, 2856, 225, 88, 76, 73, 2391, 8267, 524, 16, 8609, 77, 47648, 3989, 225, 88, 76, 73, 10624, 12149, 7786, 18, 557, 14123, 458, 2406, 359, 225, 69, 8138, 12358, 16, 290, 423, 10679, 286, 13525, 1837, 641, 291, 5033, 2944, 4661, 566, 291, 22943, 16, 5081, 17, 39007, 3299, 811, 225, 88, 76, 73, 42012, 689, 22789, 2656, 203, 203, 2177, 385, 9859, 431, 225, 88, 76, 73, 42455, 32205, 291, 2485, 13525, 290, 25976, 290, 26777, 532, 383, 225, 88, 76, 73, 22361, 363, 20470, 480, 6442, 18, 364, 566, 458, 385, 2632, 286, 14490, 25959, 1000, 11111, 1771, 18, 203, 203, 10608, 961, 225, 69, 3508, 292, 18573, 13393, 290, 592, 12462, 3189, 383, 225, 88, 76, 73, 1771, 16, 8609, 77, 47648, 3838, 4371, 277, 17624, 524, 292, 4817, 458, 882, 942, 286, 5422, 2374, 290, 20119, 291, 522, 6552, 16060, 16, 290, 291, 4923, 292, 1059, 19025, 18, 1728, 8945, 22104, 17624, 2765, 30, 203, 409, 33960, 396, 74, 13782, 13, 203, 409, 4808, 43454, 203, 409, 7870, 16595, 351, 49506, 396, 12144, 1712, 359, 225, 88, 76, 73, 41248, 292, 7870, 16595, 13, 203, 409, 26014, 346, 12963, 203, 409, 411, 15991, 203, 409, 38721, 203, 203, 1989, 4650, 346, 279, 2516, 16, 8609, 77, 47648, 6624, 225, 69, 13942, 292, 1220, 43058, 286, 225, 88, 76, 73, 1771, 6861, 16, 596, 6241, 225, 88, 76, 73, 1182, 16, 18342, 225, 88, 76, 73, 43058, 643, 225, 69, 3911, 5835, 18, 1218, 225, 88, 76, 73, 7870, 16595, 351, 49506, 345, 458, 3689, 5835, 1159, 16, 2196, 609, 1228, 16, 225, 88, 76, 73, 6132, 292, 9732, 16, 3845, 2831, 16, 290, 19849, 18, 2591, 2219, 29367, 292, 225, 88, 76, 73, 9494, 292, 225, 88, 76, 73, 4007, 27559, 643, 23429, 4265, 1434, 225, 88, 76, 73, 13942, 18, 203, 203, 521, 7870, 16595, 351, 49506, 385, 9489, 819, 225, 88, 76, 73, 2391, 290, 225, 69, 20842, 385, 2267, 291, 12902, 431, 225, 8010, 293, 31634, 3012, 6333, 40828, 93, 44186, 16, 431, 1374, 292, 225, 88, 76, 73, 10624, 2151, 290, 1584, 8609, 77, 47648, 526, 10605, 18, 738, 20842, 396, 5816, 29354, 2477, 13, 4819, 325, 3385, 383, 225, 88, 76, 73, 14490, 25959, 1000, 4680, 18, 203, 203, 2598, 225, 88, 76, 73, 1150, 595, 16, 8609, 77, 47648, 385, 225, 88, 76, 73, 6715, 292, 3512, 603, 292, 374, 579, 8963, 94, 16, 290, 10221, 1216, 1434, 225, 88, 76, 73, 1771, 326, 21911, 292, 225, 88, 76, 73, 10624, 2151, 17, 77, 82, 17, 1339, 712, 18, 6131, 385, 43463, 1047, 291, 290, 524, 292, 225, 88, 76, 73, 1771, 22808, 18, 203, 203, 2691, 225, 88, 76, 73, 723, 292, 225, 88, 76, 73, 10624, 4023, 5349, 16, 8609, 77, 47648, 19182, 291, 12896, 290, 16, 2655, 720, 33264, 225, 88, 76, 73, 1868, 16, 24336, 522, 5033, 2944, 4661, 566, 2580, 18, 731, 1837, 641, 291, 225, 88, 76, 73, 22943, 528, 17519, 290, 385, 1001, 8779, 431, 225, 88, 76, 73, 32640, 18, 731, 4361, 754, 225, 88, 76, 73, 3911, 23966, 17, 1586, 17, 7467, 12954, 383, 411, 1811, 37574, 16, 24225, 17372, 16, 290, 3579, 6135, 70, 460, 303, 16, 827, 458, 385, 38393, 431, 3194, 5508, 18, 203, 203, 5956, 17, 7467, 203, 203, 38, 9267, 47648, 9370, 291, 5438, 827, 458, 1112, 522, 3564, 29782, 24398, 1069, 8609, 77, 47648, 396, 35096, 25161, 1869, 873, 568, 279, 3702, 18, 1108, 3838, 48148, 290, 4067, 16, 290, 568, 3118, 5650, 10142, 326, 1528, 16, 2196, 624, 225, 69, 38256, 21620, 326, 225, 88, 76, 73, 8336, 18, 203, 203, 829, 14106, 225, 88, 76, 73, 2735, 3230, 286, 12382, 16, 5377, 16, 290, 2154, 1727, 6316, 291, 11777, 18, 9365, 544, 3230, 286, 25937, 16, 11391, 18, 203, 203, 46489, 17110, 203, 689, 31897, 12497, 29187, 3227, 2995, 2090, 2398, 4680, 291, 22943, 203, 689, 31897, 16950, 29187, 3227, 2995, 2090, 2398, 7940, 291, 22943, 203, 2086, 3757, 291, 10624, 47593, 567, 16, 5498, 1067, 7329, 17, 38, 463, 69, 203, 689, 1893, 14103 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 292, 10624, 16950, 3693, 291, 5438, 2995, 10624, 26566, 291, 5438, 203, 689, 25425, 1400, 553, 7223, 2350, 890, 297, 1081, 1623, 45494, 11036, 1428, 2995, 21674, 830, 567, 4394, 567, 1226, 363, 50076, 16, 9269, 203, 3211, 3010, 16, 12382, 16, 7715, 203, 1554, 44798, 2361, 5202, 16, 1554, 44798, 16, 7715, 203, 689, 21756, 48170, 292, 9732, 2995, 7715, 1495, 16, 27457, 16, 7715, 203, 11213, 2398, 7940, 16, 12382, 16, 7715, 203, 203, 49596, 2016, 1349, 291, 1502, 1803, 4327, 409, 4808, 43454, 16, 2361, 4680, 383, 14490, 25959, 1000, 396, 31258, 7016, 13, 203, 409, 41248, 292, 7870, 16595, 16, 2361, 4680, 383, 14490, 25959, 1000, 396, 264, 44942, 13, 203, 409, 411, 15991, 16, 2361, 4680, 383, 14490, 25959, 1000, 396, 31258, 7016, 13, 203, 640, 18, 5485, 389, 11, 7097, 2542, 16, 4680, 291, 9269, 396, 38922, 16, 12506, 13, 203, 4648, 25955, 16, 10624, 3536, 291, 9269, 396, 6950, 1655, 7047, 16, 12506, 13, 203, 39382, 286, 4138, 37993, 486, 22880, 471, 4723, 16, 24131, 2916, 2409, 16, 12382, 16, 7715, 396, 638, 14416, 16, 12506, 774, 821, 29354, 17789, 13, 203, 640, 18, 5485, 389, 11, 7097, 2542, 16, 4680, 291, 9269, 396, 38922, 16, 12506, 13, 203, 409, 26014, 16, 291, 2290, 292, 225, 88, 76, 73, 6978, 526, 6984, 16, 23723, 2417, 396, 74, 13782, 16, 12506, 13, 203, 203, 19207, 6924, 203, 6525, 292, 2915, 281, 396, 19225, 16, 13525, 13, 203, 6525, 292, 2915, 281, 396, 29131, 13, 203, 203, 1987, 203, 203, 3257, 2477, 203, 2361, 4680, 383, 14490, 25959, 1000, 774, 11301, 10361, 203, 43195, 292, 225, 88, 76, 73, 7870, 16595, 351, 49506, 203, 6187, 3803, 277, 30, 39382, 286, 4138, 37993, 486, 22880, 471, 4723, 203, 203, 37801, 4686, 203, 16324, 5850, 203, 31897, 29857, 286, 225, 88, 76, 73, 1851, 2198, 203, 6604, 5349, 1592, 203, 49, 1286, 25959, 1000, 11111, 1771, 17111, 203, 20278, 93, 292, 12536, 4950, 291, 22943, 7692, 203, 825, 88, 76, 17, 4577, 10624, 44880, 2, 0, 521, 2090, 7237, 325, 12053, 4385, 318, 225, 69, 4484, 17, 446, 3463, 326, 225, 69, 1657, 292, 3305, 6924, 326, 6301, 953, 959, 325, 16, 388, 346, 16, 2794, 18, 3440, 6081, 291, 6890, 16, 357, 318, 225, 88, 76, 73, 19066, 1465, 286, 225, 88, 76, 73, 6598, 5288, 292, 27776, 290, 225, 88, 76, 73, 42461, 2452, 8534, 1829, 18, 409, 3325, 318, 959, 2998, 3479, 1293, 16, 6337, 1154, 225, 88, 76, 73, 806, 6890, 286, 4597, 16, 290, 5725, 286, 4988, 16, 650, 357, 385, 959, 11717, 18, 409, 3325, 290, 709, 379, 1633, 25378, 6821, 371, 7462, 431, 225, 88, 76, 73, 14650, 1077, 18165, 10175, 7940, 16, 2558, 291, 14650, 1077, 16, 3610, 18, 203, 203, 829, 3486, 16, 225, 88, 76, 73, 2914, 8858, 4273, 292, 225, 88, 76, 73, 2090, 7237, 325, 12053, 3325, 385, 3100, 332, 8, 4425, 16, 1318, 290, 644, 1220, 5556, 30, 203, 521, 2212, 18598, 293, 2452, 8534, 1829, 4385, 16, 12981, 383, 332, 8, 2173, 16, 1318, 31, 203, 521, 14650, 1077, 18165, 10175, 37271, 39854, 6327, 6924, 16, 12981, 383, 527, 286, 332, 8, 825, 16, 1318, 31, 290, 203, 521, 10185, 292, 225, 88, 76, 73, 14650, 1077, 18165, 10175, 7940, 39854, 6327, 6924, 16, 12981, 383, 527, 286, 332, 8, 1537, 16, 1318, 18, 203, 203, 37234, 396, 39381, 3325, 770, 13, 203, 15490, 774, 13805, 24500, 2186, 203, 14646, 774, 14297, 361, 3893, 622, 203, 9578, 774, 10663, 16151, 10089, 203, 13452, 774, 310, 60, 486, 2082, 3733, 203, 12891, 774, 12964, 1710, 311, 203, 12353, 774, 3833, 6938, 203, 11283, 774, 43883, 319, 21986, 203, 10592, 774, 5897, 694, 351, 24495, 203, 8766, 774, 6476, 8679, 262, 203, 9227, 774, 9075, 6875, 203, 203, 1987, 203, 203, 3257, 2477, 203, 14650, 1077, 18165, 10175, 7940, 1622, 203, 14650, 1077, 18165, 10175, 7940, 774, 3486, 23015, 6801, 4385, 203, 351, 7504, 43, 774, 23015, 6801, 15377, 29187, 3227, 203, 203, 16745, 953, 6924, 203, 18085, 37811, 18165, 203, 15603, 3178, 291, 6890, 203, 15490, 9011, 291, 3610, 2, 0, 26218, 1239, 10594, 16, 17276, 8735, 6362, 10594, 16, 318, 225, 69, 4227, 290, 2677, 4967, 9389, 16, 915, 291, 225, 88, 76, 73, 9389, 292, 8735, 6362, 10594, 346, 15958, 76, 1567, 16, 291, 43562, 16, 3994, 581, 225, 3620, 292, 995, 4111, 18, 409, 4227, 2569, 709, 1565, 423, 225, 88, 76, 73, 8735, 1971, 19264, 30, 8735, 1971, 1817, 1866, 86, 10807, 3539, 8904, 557, 15360, 225, 88, 76, 73, 9389, 644, 225, 69, 3650, 292, 3436, 29, 18, 203, 203, 6355, 225, 203, 521, 31843, 292, 8735, 1239, 10594, 385, 2404, 291, 15322, 1631, 431, 225, 88, 76, 73, 2633, 77, 82, 12254, 1201, 16, 290, 291, 2272, 2721, 12739, 486, 2633, 77, 82, 12254, 385, 48592, 292, 8735, 1239, 10594, 18, 601, 385, 1708, 2404, 431, 225, 88, 76, 73, 6785, 293, 1201, 16, 596, 3168, 357, 291, 1946, 1878, 286, 2212, 46622, 16, 225, 69, 19100, 16635, 18, 2060, 292, 225, 88, 76, 73, 46622, 1201, 2387, 995, 4111, 1297, 3254, 18, 1218, 291, 1946, 11330, 8735, 1239, 10594, 385, 3168, 286, 3988, 19701, 16, 225, 69, 15011, 8128, 18, 1728, 3198, 5442, 16, 326, 1382, 286, 522, 1868, 16, 385, 2267, 15419, 19701, 292, 8735, 1239, 10594, 18, 409, 1201, 568, 5890, 33253, 6609, 10022, 16, 290, 42893, 2822, 4184, 8735, 1239, 10594, 3757, 359, 1597, 15087, 291, 5118, 1608, 225, 69, 22075, 526, 1128, 292, 225, 88, 76, 73, 1946, 88, 76, 3503, 915, 290, 326, 225, 69, 941, 595, 1364, 12038, 431, 225, 88, 76, 73, 15701, 292, 225, 88, 76, 73, 32003, 9603, 1143, 409, 4531, 5786, 427, 2970, 519, 9279, 637, 16, 225, 88, 76, 73, 30394, 8643, 725, 290, 225, 88, 76, 73, 1475, 3123, 1034, 371, 4561, 18, 5383, 16, 2375, 16, 225, 88, 76, 73, 5870, 4700, 325, 1174, 292, 225, 69, 864, 32427, 22264, 225, 88, 76, 73, 4573, 290, 371, 8810, 2387, 18, 409, 288, 993, 13801, 5854, 2471, 286, 427, 652, 20152, 698, 279, 4438, 6582, 18, 203, 203, 25477 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 10281, 225, 203, 26218, 1239, 10594, 318, 291, 225, 88, 76, 73, 21177, 20383, 292, 36695, 3032, 18, 1507, 377, 2355, 14417, 225, 88, 76, 73, 9389, 385, 30621, 286, 1139, 8735, 6362, 10594, 346, 15958, 76, 1567, 18, 203, 203, 41820, 3345, 225, 203, 521, 3042, 318, 4069, 286, 640, 29811, 16, 290, 42893, 2822, 2897, 357, 291, 225, 69, 19020, 484, 1991, 16, 346, 5870, 12611, 581, 18, 601, 644, 652, 20271, 291, 225, 88, 76, 73, 45467, 3503, 16, 290, 1367, 15446, 36250, 643, 1013, 291, 225, 88, 76, 73, 1848, 18, 557, 42335, 16, 2375, 16, 357, 385, 20271, 383, 225, 69, 1432, 292, 4576, 9367, 290, 225, 69, 631, 661, 862, 385, 20757, 383, 442, 595, 18, 1507, 225, 88, 76, 73, 3686, 2832, 292, 225, 88, 76, 73, 3042, 16, 12046, 225, 88, 76, 73, 39282, 463, 16, 318, 225, 69, 5870, 17981, 346, 430, 36973, 42335, 18, 5788, 18, 5442, 361, 12675, 341, 16, 48254, 18, 5169, 14264, 290, 7804, 22702, 16, 3536, 13211, 675, 18, 50197, 1857, 27636, 18, 35656, 939, 290, 11098, 354, 2657, 20718, 18, 1238, 318, 225, 69, 3778, 3208, 292, 19486, 19912, 290, 554, 5642, 225, 69, 8509, 28310, 16, 573, 42893, 2822, 1740, 1866, 10149, 662, 565, 746, 2460, 1323, 303, 44402, 203, 203, 3001, 313, 596, 2330, 803, 3882, 286, 987, 203, 1266, 459, 3028, 225, 69, 11454, 2328, 286, 35367, 30, 203, 45, 19025, 385, 2971, 225, 88, 76, 73, 5161, 16, 203, 2702, 431, 225, 69, 563, 314, 3583, 1444, 761, 31, 203, 2943, 7159, 290, 6409, 573, 458, 4269, 304, 719, 16, 203, 45, 16, 961, 29132, 16, 385, 38232, 18, 203, 45, 2374, 458, 459, 20290, 339, 16, 203, 4011, 8154, 225, 88, 76, 73, 13670, 1036, 326, 530, 18, 203, 203, 1266, 385, 225, 88, 76, 73, 2814, 285, 12520, 292, 5358, 37350, 16, 596, 3904, 832, 2485, 1946, 10266, 18, 332, 563, 346, 5334, 458, 644, 225, 69, 14039, 3813, 17804, 1736, 225, 69, 46445, 12604, 12102, 326, 950, 16, 517, 660, 385, 12442, 786, 291, 8340, 286, 7342, 225, 88, 76, 73, 48898, 18, 409, 19486, 10800, 318, 915, 6073, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 37369, 12823, 45, 396, 14383, 282, 30, 3498, 2636, 3486, 13, 203, 203, 23658, 291, 43562, 203, 15720, 4967, 30062, 291, 43562, 2, 0, 50, 1568, 91, 285, 1077, 318, 225, 69, 4227, 291, 43562, 16, 3994, 581, 225, 5696, 3620, 5696, 292, 3584, 84, 2476, 18, 203, 203, 37, 2677, 9355, 17, 15078, 915, 11033, 698, 6858, 5896, 16, 225, 88, 76, 73, 1367, 4227, 1204, 568, 11033, 698, 225, 69, 1577, 16, 279, 1367, 6640, 16, 225, 69, 1240, 3042, 16, 290, 225, 69, 1319, 292, 33431, 290, 10494, 23801, 225, 88, 76, 73, 4227, 18, 409, 1367, 3254, 16, 14217, 1958, 9527, 16, 1146, 6606, 291, 225, 69, 4531, 3785, 225, 88, 76, 73, 3387, 18, 409, 4227, 3254, 291, 428, 1568, 91, 285, 1077, 318, 14217, 1958, 9527, 290, 3093, 286, 427, 652, 3230, 660, 650, 225, 88, 76, 73, 4227, 385, 3230, 18, 409, 2536, 1637, 318, 915, 2711, 944, 18, 409, 3254, 6606, 377, 18, 26, 81, 864, 290, 385, 18548, 291, 43286, 18, 3531, 292, 225, 88, 76, 73, 2078, 581, 357, 504, 652, 4082, 532, 290, 13556, 346, 4811, 18, 203, 203, 6355, 225, 203, 5733, 225, 88, 76, 73, 8087, 2446, 16, 46823, 5127, 282, 225, 69, 1648, 4260, 291, 225, 88, 76, 73, 9603, 292, 225, 88, 76, 73, 369, 1375, 428, 1568, 91, 285, 1077, 3757, 326, 554, 1876, 16, 290, 1708, 6081, 225, 69, 1961, 292, 4576, 6188, 17, 25, 87, 17, 26, 72, 18, 359, 10351, 326, 225, 88, 76, 73, 3878, 1772, 431, 522, 9893, 18, 1979, 331, 993, 46369, 291, 1946, 6427, 5528, 17738, 267, 16, 225, 69, 12730, 576, 4467, 16, 326, 225, 69, 941, 1027, 2759, 28370, 291, 225, 69, 689, 6703, 386, 526, 26734, 6, 291, 279, 6440, 1628, 292, 225, 88, 76, 73, 3757, 18, 13769, 35243, 16, 225, 69, 891, 16635, 17, 10958, 872, 292, 19100, 383, 225, 88, 76, 73, 3352, 292, 225, 88, 76, 73, 1583, 88, 76, 3503, 16, 385, 225, 69, 5910, 292, 428, 1568, 91, 285, 1077, 290, 2387, 225, 69, 12005, 431, 225, 88, 76, 73, 5428, 16, 517, 786, 13977, 292, 357, 4819, 18, 203, 203, 18456, 13539, 225, 203, 521, 21026, 526, 49249, 14645, 9609, 225, 88, 76, 73, 4227, 1490, 720, 225, 286, 225, 88, 76, 73, 5898, 18, 409, 2685, 14645, 318, 225, 69, 5250, 2441, 573, 4918, 383, 3807, 12821, 325, 13205, 5226, 526, 6785, 16, 3620, 292, 2811, 7232, 16, 290, 15362, 225, 3620, 1775, 1808, 43562, 286, 225, 88, 76, 73, 5465, 292, 225, 88, 76, 73, 3703, 316, 26743, 383, 3841, 12000, 17, 31401, 17, 56, 26743, 18, 203, 203, 19294, 4658, 49249, 14645, 12538, 16, 428, 1568, 91, 285, 1077, 16, 568, 1712, 359, 16, 388, 4997, 291, 5939, 5347, 359, 2720, 41661, 5274, 18, 2938, 10626, 1392, 8323, 282, 325, 629, 9501, 10222, 359, 10157, 517, 915, 3285, 286, 339, 4819, 292, 18884, 7318, 12693, 54, 1146, 5187, 359, 1392, 7952, 292, 10157, 6364, 5656, 5187, 359, 1392, 9669, 1438, 292, 279, 19126, 11524, 10157, 7318, 738, 1637, 504, 652, 4184, 359, 225, 69, 363, 1718, 12538, 18, 409, 5612, 345, 442, 1637, 318, 225, 69, 15322, 4033, 2634, 388, 17400, 318, 19613, 545, 18, 203, 203, 50, 1568, 91, 285, 1077, 3757, 318, 225, 69, 14054, 314, 4842, 1848, 18, 1238, 504, 652, 225, 69, 1577, 325, 225, 88, 76, 73, 1637, 1364, 225, 88, 76, 73, 2116, 88, 76, 3503, 18, 409, 1552, 1577, 16, 573, 385, 2387, 291, 581, 1958, 10721, 16, 286, 225, 69, 946, 431, 4166, 5358, 316, 2287, 1534, 504, 279, 7011, 1220, 17, 34593, 16, 4266, 17, 70, 10789, 2290, 505, 346, 2950, 1289, 719, 290, 9106, 19126, 4566, 6593, 7978, 18, 409, 7611, 8382, 629, 4164, 2134, 1315, 225, 69, 15726, 1530, 10157, 573, 783, 4051, 29855, 292, 6306, 47453, 18, 409, 10494, 4051, 225, 69, 4483, 323, 290 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 32683, 2134, 18, 203, 203, 41820, 3345, 1563, 203, 521, 3042, 318, 4069, 286, 640, 36593, 18, 731, 318, 225, 88, 76, 73, 25334, 7035, 286, 359, 689, 24710, 332, 16986, 333, 4925, 6, 291, 554, 292, 225, 88, 76, 73, 21607, 3706, 5854, 291, 225, 88, 76, 73, 3042, 16, 1866, 37, 16986, 333, 4925, 11, 961, 225, 88, 76, 73, 8131, 1139, 292, 225, 88, 76, 73, 1565, 1866, 43, 3790, 8904, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 37369, 12823, 45, 396, 14383, 282, 30, 3498, 2636, 3486, 13, 203, 203, 23658, 291, 43562, 2, 0, 19421, 37811, 318, 225, 69, 4227, 291, 43562, 16, 3994, 581, 225, 3620, 292, 995, 82, 12000, 18, 203, 203, 25477, 10281, 225, 203, 19421, 37811, 318, 291, 225, 88, 76, 73, 21177, 20383, 292, 3841, 12000, 17, 31401, 17, 56, 26743, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 37369, 12823, 45, 396, 14383, 282, 30, 3498, 2636, 3486, 13, 203, 203, 23658, 291, 43562, 2, 0, 24232, 457, 40585, 11651, 2166, 19006, 695, 284, 37781, 396, 3640, 14186, 13, 318, 279, 3550, 17, 3640, 6899, 11342, 16, 26052, 277, 325, 1778, 526, 6899, 290, 36643, 2255, 291, 1773, 9211, 34125, 16, 16885, 29307, 16, 3350, 18, 4327, 203, 203, 15924, 225, 203, 42797, 695, 284, 37781, 385, 3157, 291, 1773, 9211, 34125, 16, 16885, 29307, 16, 3350, 18, 2325, 3223, 385, 225, 69, 8128, 16, 6132, 16451, 290, 9696, 26052, 277, 325, 6396, 12042, 18, 19006, 695, 284, 37781, 526, 2974, 385, 225, 69, 4956, 291, 1773, 9211, 34125, 18, 203, 203, 8714, 1846, 2528, 385, 291, 1773, 9211, 34125, 16, 3350, 290, 857, 780, 3230, 325, 286, 225, 88, 76, 73, 46686, 14394, 292, 633, 2974, 16, 15445, 6424, 3049, 291, 27022, 286, 3681, 633, 3009, 3658, 18, 1507, 9130, 292, 633, 3009, 4206, 291, 27022, 16, 780, 3230, 286, 1063, 2229, 290, 857, 286, 25889, 16, 24283, 16, 3522, 18, 1236, 1708, 2154, 225, 69, 16076, 292, 5138, 3049, 292, 43698, 292, 3522, 291, 11086, 290, 225, 69, 23318, 383, 225, 88, 76, 73, 1495, 292, 24283, 16, 3522, 18, 203, 203, 2091, 633, 2877, 286, 3350, 291, 10584, 16, 7880, 457, 40585, 11651, 2166, 3989, 11237, 7902, 32023, 47271, 6984, 290, 1698, 519, 45021, 49317, 290, 421, 32646, 1253, 4932, 18, 1236, 385, 13488, 291, 225, 88, 76, 73, 9221, 292, 374, 36037, 2916, 18, 557, 1846, 3008, 16, 780, 3230, 698, 225, 69, 631, 5209, 292, 633, 884, 374, 36037, 2916, 16, 2558, 291, 225, 88, 76, 73, 6836, 641, 292, 1773, 9211, 34125, 3047, 479, 1778, 526, 6899, 1382, 811, 225, 69, 2013, 4097, 18, 1236, 6019, 225, 69, 14707, 291, 10497, 286, 4049, 326, 225, 88, 76, 73, 2898, 292, 47761, 417, 9149, 290, 3305, 11719, 290, 3189, 18, 203, 203, 16583, 12480, 3227, 225, 203, 10200, 30, 4327, 17232, 4136, 16, 374, 36037, 2916, 16, 1773, 9211, 34125, 203, 17232, 4136, 16, 47342, 2000, 17168, 5852, 2916, 1773, 9211, 34125, 203, 4136, 16, 2916, 326, 2623, 77, 28697, 4547, 1773, 9211, 34125, 46398, 8423, 203, 4136, 16, 374, 36037, 2916, 290, 35386, 11906, 11763, 16, 1773, 9211, 34125, 203, 34019, 9701, 7458, 16, 409, 16885, 29307, 1900, 18, 351, 12251, 6424, 1495, 203, 203, 26923, 290, 1734, 1563, 557, 341, 44314, 292, 41264, 27987, 203, 6697, 292, 6751, 2000, 17168, 8804, 203, 11607, 1370, 1574, 290, 4691, 30, 18016, 290, 12755, 203, 24326, 16, 24899, 40, 3044, 2898, 326, 36643, 203, 203, 9807, 3207, 225, 203, 10200, 30, 203, 3550, 6424, 3693, 203, 1773, 9211, 34125, 45021, 49317, 290, 421, 32646, 1253, 4668, 774, 3296, 16, 5725, 17, 12891, 203, 11228, 421, 32646, 3034, 290, 45021, 49317, 43425, 292, 3350, 203, 3550, 3693, 292, 6865, 39165, 1131, 203, 2623, 77, 28697, 5143, 17, 11227, 13645, 45, 203, 3690, 4668, 292, 6751, 2000, 7435, 290, 37906, 732, 1253, 203, 1644, 4668, 292, 2000, 17168, 8804, 203, 8082, 16, 35910, 4119, 2818, 6697, 292, 45021, 49317, 290, 421, 32646, 1253, 16, 3179, 291, 1063, 5911, 203, 17967, 3296, 1773, 9211, 34125, 6694, 22795, 4668, 203, 203, 15603, 1563, 25138, 326, 225, 88, 76, 73, 319, 512, 292, 13089, 4385, 326, 225, 88, 76, 73, 1382, 291, 5134, 352, 87, 3308, 1028, 203, 4504, 1918, 274, 284, 3325, 326, 5134, 689, 42830, 433, 291, 6424, 4038, 6, 203, 25795, 7692, 3325, 326, 8526, 11791, 423, 1524, 77, 2720, 1925, 1563, 409, 7458, 19832, 378, 18, 43470, 17354, 526, 41865, 1515, 1258, 291, 3486, 203, 203, 1987, 1563, 203, 29146, 4686, 203, 6004, 717, 203, 38683, 292, 225, 88, 76, 73, 5138, 3049, 292, 43698, 203, 16610, 27049, 203, 16610, 19513, 1069, 320, 9972, 203, 56, 6080, 9053, 203, 19979, 8667, 423, 16885, 29307, 203, 5013, 423, 1773, 9211, 34125, 203, 16610, 1778, 19513, 1069, 320, 9972, 203, 825, 88, 76, 17, 4577, 3550, 1778, 9053, 203, 825, 88, 76, 17, 4577, 3550, 3009, 8667, 203, 16610, 1778, 27049, 203, 11854, 9053, 423, 16885, 29307, 203, 825, 88, 76, 17, 4577, 1778, 16168, 203, 825, 88, 76, 17, 4577, 27049, 2, 0, 521, 19888, 2409, 9069, 318, 225, 69, 1502, 6717, 2711, 291, 26321, 2086, 16, 291, 7445, 26321, 18, 225, 409, 10054, 5330, 1086, 2273, 225, 88, 76, 73, 17652, 20228, 6756, 8706, 23237, 290, 16, 1509, 346, 225, 88, 76, 73, 27360, 292, 225, 88, 76, 73, 20806, 4723, 290, 32384, 343, 308, 583, 16, 4341, 225, 69, 15868, 345, 28372, 225, 88, 76, 73, 4574, 45799, 43882, 5127, 423, 225, 88, 76, 73, 1716, 292, 225, 88, 76, 73, 1830, 18, 203, 203, 1200, 3387, 12481, 318, 9827, 282, 698, 5008, 8250, 431, 225, 88, 76, 73, 29670, 35499, 16, 225, 88, 76, 73, 29670, 18827, 17887, 1043, 8871, 16, 290, 225, 88, 76, 73, 29670, 486, 2215, 3807, 73, 17, 4685, 43512, 18, 225, 409, 1389, 38167, 431, 803, 8268, 318, 5699, 1913, 225, 409, 7445, 1885, 3512, 292, 225, 88, 76, 73, 2711, 318, 1740, 36356, 25697, 2409, 396, 10187, 71, 2426, 18, 25697, 859, 225, 409, 2711, 385, 2267, 819, 225, 88, 76, 73, 25072, 292, 225, 88, 76, 73 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 27512, 811, 225, 88, 76, 73, 29009, 22601, 292, 3023, 18, 203, 203, 521, 2711, 318, 225, 88, 76, 73, 3053, 292, 225, 88, 76, 73, 17337, 4135, 90, 45102, 16, 291, 225, 88, 76, 73, 7445, 1885, 3512, 16, 290, 225, 88, 76, 73, 17337, 24168, 523, 261, 16, 1808, 225, 88, 76, 73, 29670, 18827, 17887, 1043, 8871, 18, 225, 409, 17337, 4135, 90, 45102, 385, 225, 88, 76, 73, 5457, 292, 225, 88, 76, 73, 2193, 356, 8967, 13094, 3355, 467, 497, 83, 814, 486, 316, 42436, 25047, 3094, 3204, 16, 225, 88, 76, 73, 326, 262, 36890, 292, 18806, 48, 3348, 16, 290, 7462, 225, 88, 76, 73, 36794, 8311, 21000, 291, 12902, 290, 12180, 18, 225, 409, 17337, 24168, 523, 261, 385, 225, 88, 76, 73, 2536, 5457, 292, 225, 88, 76, 73, 3690, 4368, 292, 8381, 16, 290, 318, 915, 279, 953, 5977, 18, 203, 203, 5733, 225, 88, 76, 73, 30987, 326, 225, 88, 76, 73, 3344, 292, 225, 88, 76, 73, 12149, 35499, 936, 2711, 16, 225, 88, 76, 73, 4819, 292, 225, 88, 76, 73, 4033, 385, 23384, 18, 35530, 225, 88, 76, 73, 30869, 3537, 42401, 16, 225, 88, 76, 73, 25879, 24054, 27512, 424, 915, 339, 2194, 715, 3686, 292, 29670, 35499, 18, 409, 30869, 40644, 385, 5758, 2387, 291, 1958, 10721, 16, 19809, 291, 38751, 1180, 26, 16, 290, 394, 10753, 1133, 29520, 290, 29859, 18, 203, 203, 41851, 203, 203, 48933, 291, 26321, 2086, 2, 0, 16177, 2474, 38973, 2623, 7833, 396, 2288, 2429, 30254, 4219, 2262, 17555, 13, 385, 279, 25627, 19338, 291, 225, 88, 76, 73, 2775, 591, 88, 76, 290, 1846, 452, 88, 76, 10227, 18, 203, 203, 6976, 7833, 385, 3157, 383, 2699, 7194, 17, 263, 17, 14256, 81, 16, 22165, 1138, 4238, 16, 325, 1814, 2429, 30254, 290, 11007, 383, 1119, 2938, 526, 3049, 3023, 290, 16473, 3049, 16, 9656, 18, 23308, 1798, 291, 21546, 16, 458, 2483, 522, 9462, 346, 225, 69, 1097, 1941, 383, 640, 3059, 15919, 526, 27540, 290, 385, 857, 43947, 292, 640, 3059, 34101, 526, 291, 225, 88, 76, 73, 1150, 1830, 981, 522, 4043, 4303, 286, 225, 88, 76, 73, 2814, 2753, 404, 405, 359, 225, 88, 76, 73, 11614, 292, 3194, 8584, 18, 731, 385, 41172, 225, 69, 19338, 325, 2357, 2209, 24775, 16, 431, 9317, 4367, 3059, 38, 18833, 16, 24488, 292, 26632, 16, 383, 23076, 19432, 18, 731, 385, 1708, 12988, 286, 339, 225, 88, 76, 73, 11614, 292, 2474, 272, 5627, 18, 4150, 442, 2223, 458, 385, 568, 225, 88, 76, 73, 48592, 292, 640, 3059, 19438, 18841, 366, 76, 2393, 332, 6246, 45974, 998, 396, 76, 73, 4325, 225, 88, 76, 73, 661, 862, 1535, 522, 2371, 859, 731, 3904, 325, 3498, 2262, 17555, 290, 318, 11002, 291, 225, 88, 76, 73, 3042, 6589, 292, 640, 3059, 7187, 17, 267, 17, 44, 753, 22334, 3536, 16, 3023, 18, 1728, 5597, 36356, 385, 225, 69, 8833, 1670, 307, 9155, 18, 203, 203, 6976, 7833, 20349, 290, 4069, 225, 88, 76, 73, 30020, 22334, 2446, 9292, 291, 1589, 18154, 18, 203, 203, 2177, 8187, 291, 2779, 17003, 16, 15815, 277, 522, 821, 291, 595, 326, 522, 19066, 526, 32162, 41462, 325, 225, 88, 76, 73, 37897, 292, 640, 3059, 12919, 396, 3021, 3059, 7322, 859, 731, 2154, 279, 10529, 3059, 43428, 292, 3023, 1535, 522, 2371, 1608, 458, 9612, 15838, 22450, 292, 30020, 22334, 29175, 1663, 2453, 18, 203, 203, 1987, 203, 203, 1758, 5777, 4686, 203, 31357, 5850, 203, 12659, 23716, 26712, 292, 3194, 8584, 203, 38, 18468, 292, 2474, 272, 5627, 203, 23454, 292, 16473, 3049, 16, 9656, 203, 916, 88, 76, 17, 4577, 25627, 3536, 292, 3522, 26712, 203, 825, 88, 76, 17, 4577, 3536, 292, 3994, 26712, 203, 40857, 383, 640, 2212, 17, 267, 17, 44, 753, 22334, 203, 18875, 353, 2807, 292, 225, 88, 76, 73, 1851, 4622, 14975, 292, 3994, 203, 825, 88, 76, 17, 4577, 25627, 3536, 292, 3522, 26712, 2, 0, 22932, 3035, 290, 2608, 424, 1940, 30, 203, 203, 10469, 1253, 203, 22932, 17, 4768, 29010, 203, 22932, 17, 4768, 7541, 203, 22932, 17, 4768, 6039, 16, 225, 69, 13040, 17, 26545, 7430, 6360, 203, 22932, 17, 4768, 34169, 203, 22932, 3035, 2814, 7846, 30320, 203, 22932, 17, 4768, 1022, 1288, 84, 856, 869, 203, 5962, 203, 22932, 17, 4768, 33460, 16538, 203, 22932, 16030, 396, 1633, 295, 873, 225, 69, 10565, 203, 22932, 16030, 13107, 16, 1177, 431, 22821, 50244, 306, 203, 22932, 16030, 13107, 396, 39465, 873, 225, 69, 1452, 2353, 69, 6232, 396, 26545, 13, 292, 554, 3035, 2, 0, 44637, 10329, 21882, 396, 25913, 69, 31224, 1180, 33225, 13, 385, 225, 69, 10404, 16970, 9939, 291, 225, 88, 76, 73, 3551, 556, 49449, 328, 3442, 292, 3194, 8584, 18, 225, 731, 568, 8001, 10404, 28761, 325, 225, 88, 76, 73, 556, 49449, 328, 3703, 291, 14592, 290, 325, 225, 88, 76, 73, 640, 1365, 622, 3703, 291, 7984, 3194, 8584, 18, 225, 19614, 8226, 291, 225, 88, 76, 73, 19424, 7876, 316, 2821, 573, 4614, 754, 225, 88, 76, 73, 3551, 556, 49449, 328, 3442, 385, 6733, 7847, 286, 21882, 526, 7358, 290, 2269, 18, 225, 557, 1408, 286, 961, 225, 69, 10404, 16970, 9939, 16, 21882, 385, 568, 225, 69, 6416, 6869, 16, 2660, 17, 6307, 5499, 9093, 290, 3796, 291, 225, 88, 76, 73, 4780, 19582, 1868, 292, 225, 88, 76, 73, 8584, 3703, 18, 203, 203, 9035, 969, 203, 35707, 16014, 644, 652, 3157, 291, 44277, 80, 16, 14877, 581, 31224, 18, 225, 731, 3230, 286, 25889, 291, 26964, 16, 290, 857, 1882, 5696, 1376, 346, 225, 69, 5251, 7290, 11583, 35978, 5643, 291, 225, 88, 76, 73, 8584, 5158, 423, 27590, 17596, 286, 8541, 18, 203, 203, 32457, 203, 39583, 395, 18, 25962, 16, 225, 69, 11430, 16, 4491, 10819, 16, 3648, 17, 11180, 16, 290, 2746, 3561, 16, 1882, 286, 688, 21882, 761, 291, 10754, 1154, 225, 69, 5499, 3240, 968, 225, 88, 76, 73, 8584, 18, 225, 25962, 4184, 21882, 16, 290, 359, 689, 582, 292, 225, 88, 76, 73, 745, 21870, 16597, 291, 225, 88, 76, 73 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 24468, 2084, 292, 3194, 8584, 18970, 203, 203, 32070, 292, 10404, 8226, 203, 203, 829, 27636, 21882, 34437, 282, 225, 325, 225, 88, 76, 73, 5898, 1752, 292, 8584, 4488, 290, 13556, 13407, 16, 346, 225, 88, 76, 73, 1095, 292, 5254, 624, 286, 225, 88, 76, 73, 4540, 1848, 225, 88, 76, 73, 33016, 968, 39218, 383, 8541, 18, 225, 731, 2387, 797, 5299, 17, 11047, 21377, 10837, 16, 396, 11314, 689, 70, 405, 10166, 9530, 286, 3766, 522, 7783, 325, 225, 88, 76, 73, 5428, 18, 225, 21882, 2891, 225, 69, 10404, 16970, 703, 339, 225, 69, 877, 836, 286, 4924, 225, 88, 76, 73, 280, 405, 10166, 785, 28378, 18, 225, 731, 10538, 286, 427, 10404, 8707, 13226, 5696, 423, 225, 69, 10404, 18183, 2387, 291, 27453, 345, 8001, 383, 522, 965, 2364, 291, 14877, 18, 225, 4121, 225, 88, 76, 73, 8707, 5459, 16, 290, 225, 69, 21517, 882, 339, 2558, 16, 21882, 16138, 225, 69, 10404, 16970, 423, 45139, 42687, 290, 547, 1144, 345, 643, 12611, 1060, 383, 279, 1367, 2897, 15078, 18, 225, 409, 1873, 385, 225, 88, 76, 73, 35414, 16, 5292, 291, 26445, 383, 8541, 18, 225, 5458, 1846, 10859, 3972, 345, 633, 5132, 385, 689, 87, 3840, 324, 6293, 17955, 6, 290, 21882, 3544, 1708, 6672, 345, 780, 385, 689, 69, 2838, 23481, 10404, 16970, 1556, 203, 203, 16720, 225, 88, 76, 73, 1361, 35414, 203, 203, 40, 600, 376, 30741, 383, 2070, 1912, 16, 517, 21882, 385, 4619, 1316, 286, 5891, 633, 423, 225, 88, 76, 73, 5428, 18, 731, 857, 5395, 225, 88, 76, 73, 6526, 17, 13644, 42944, 286, 744, 1796, 1621, 291, 26234, 286, 427, 225, 69, 631, 27246, 16757, 262, 2387, 16, 568, 1740, 35414, 18, 225, 21882, 9899, 225, 88, 76, 73, 12319, 2913, 41208, 9763, 17398, 16, 292, 8469, 16, 8625, 286, 1127, 225, 88, 76, 73, 631, 42944, 16, 573, 3851, 1240, 16, 385, 761, 17, 21789, 290, 3737, 664, 225, 69, 10404, 16970, 18, 225, 21882, 568, 644, 2387, 225, 69, 1361, 42944, 16, 23842, 16, 573, 3851, 4762, 720, 225, 88, 76, 73, 1361, 35414, 16, 2318, 770, 2701, 7700, 292, 1257, 286, 1177, 291, 18, 225, 738, 385, 279, 4248, 291, 225, 88, 76, 73, 1541, 16704, 8713, 292, 225, 88, 76, 73, 8584, 2304, 8541, 16, 827, 359, 21882, 1353, 357, 16, 689, 88, 76, 73, 5428, 526, 4183, 385, 1541, 823, 2405, 286, 225, 88, 76, 73, 5428, 526, 1174, 2656, 203, 203, 521, 10430, 370, 694, 17, 37475, 33081, 18293, 203, 203, 37, 10398, 2443, 292, 225, 88, 76, 73, 19424, 7876, 316, 2821, 318, 345, 797, 292, 225, 88, 76, 73, 1864, 12602, 345, 2348, 754, 357, 16, 225, 88, 76, 73, 8584, 16, 14860, 3620, 16, 290, 225, 88, 76, 73, 556, 49449, 328, 14860, 3686, 16, 371, 11704, 431, 770, 581, 225, 69, 7802, 292, 2110, 21561, 766, 40429, 383, 225, 69, 1128, 915, 1712, 359, 18293, 2297, 1538, 18, 225, 1099, 225, 88, 76, 73, 1565, 15946, 16, 225, 69, 6477, 16820, 385, 2387, 1808, 18293, 2297, 1538, 431, 5169, 36271, 10430, 370, 694, 17, 37475, 33081, 16, 225, 69, 3690, 4491, 10819, 290, 34249, 423, 15690, 290, 22069, 3942, 18, 225, 409, 16820, 385, 3500, 291, 24860, 16, 517, 357, 385, 770, 1013, 1220, 1631, 431, 10404, 28761, 16, 760, 595, 811, 225, 88, 76, 73, 5464, 292, 9803, 21882, 18, 203, 203, 829, 24775, 16, 21882, 2387, 35522, 445, 13583, 383, 29490, 526, 27366, 325, 225, 88, 76, 73, 556, 49449, 328, 3703, 16, 290, 225, 1837, 225, 88, 76, 73, 12656, 754, 225, 88, 76, 73, 16820, 3620, 286, 225, 88, 76, 73, 48292, 383, 8541, 286, 2315, 633, 10323, 524, 18, 225, 2519, 442, 595, 357, 5272, 345, 225, 88, 76, 73, 16820, 644, 652, 8343, 388, 43446, 286, 225, 88, 76, 73, 5499, 827, 383, 2070, 629, 292, 225, 88, 76, 73, 14862, 292, 35522, 445, 13583, 644, 286, 339, 10839, 431, 12074, 225, 88, 76, 73, 12656, 292, 225, 88, 76, 73, 1257, 16, 14317, 49770, 225, 88, 76, 73, 5499, 16, 290, 12074, 633, 1509, 325, 31537, 18, 225, 4020, 225, 88, 76, 73, 4357, 16, 21882, 16, 357, 318, 4001, 16, 385, 1316, 286, 37441, 325, 225, 88, 76, 73, 16039, 2151, 286, 16022, 5006, 286, 4659, 225, 88, 76, 73, 16820, 18, 225, 557, 2775, 1589, 25374, 21882, 4415, 225, 88, 76, 73, 3500, 35522, 445, 13583, 785, 286, 225, 88, 76, 73, 556, 49449, 328, 3703, 16, 442, 595, 1022, 1614, 6969, 225, 88, 76, 73, 38815, 532, 16820, 18, 203, 203, 521, 16820, 6497, 23948, 1535, 22163, 16, 650, 21882, 3459, 2217, 4790, 3620, 423, 225, 88, 76, 73, 556, 49449, 328, 286, 225, 88, 76, 73, 8584, 18, 225, 409, 14862, 292, 2217, 4790, 385, 770, 959, 1634, 431, 225, 88, 76, 73, 12938, 16, 431, 5565, 576, 16, 292, 225, 88, 76, 73, 4533, 383, 225, 88, 76, 73, 16820, 18, 203, 203, 8141, 636, 16984, 325, 225, 88, 76, 73, 6440, 556, 49449, 328, 3703, 203, 37, 10376, 16984, 1509, 225, 88, 76, 73, 6440, 556, 49449, 328, 5428, 291, 225, 88, 76, 73, 1846, 19172, 87, 3119, 286, 225, 69, 3890, 326, 6477, 286, 3766, 26637, 290, 7113, 698, 16, 290, 22853, 524, 292, 16, 225, 88, 76, 73, 3442, 5919, 225, 88, 76, 73, 5428, 18, 225, 409, 3677, 6836, 11583, 383, 34747, 16, 14592, 385, 225, 88, 76, 73, 14262, 968, 39218, 5036, 4513, 326, 6440, 556, 49449, 328, 6477, 18, 203, 203, 35707, 16014, 3230, 3686, 423, 225, 88, 76, 73, 8584, 286, 225, 88, 76, 73, 556, 49449, 328, 16, 290, 2387, 225, 88, 76, 73, 1240, 27246, 16757, 262, 35522, 445, 13583, 383, 29490, 526, 27366, 16, 581, 225, 3620, 292, 225, 88, 76, 73, 1552, 1504, 292, 8928, 69, 18, 225, 6466, 292, 2158, 225, 88, 76, 73, 22853, 3686, 286, 225, 88, 76, 73, 34747, 16, 21882, 526, 1095, 385, 286, 1651, 225, 88, 76, 73, 22853, 3620, 1808, 18293, 2297, 1538, 290, 857, 968, 225, 88, 76, 73, 8584, 286, 225, 88, 76, 73 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 33016, 5036, 4513, 383, 8541, 18, 225, 21882, 1837, 35522, 445, 13583, 754, 225, 88, 76, 73, 10430, 370, 694, 17, 37475, 33081, 18293, 291, 225, 88, 76, 73, 2377, 292, 24775, 396, 281, 12517, 633, 1808, 18293, 2297, 1538, 873, 12020, 633, 524, 383, 8541, 16, 290, 4415, 754, 225, 88, 76, 73, 16820, 291, 225, 88, 76, 73, 4618, 292, 25374, 18, 203, 203, 521, 9556, 292, 3427, 35522, 445, 13583, 754, 225, 88, 76, 73, 18293, 12039, 21882, 345, 225, 88, 76, 73, 770, 19241, 5557, 385, 3686, 286, 34747, 18, 225, 2519, 1846, 23854, 16, 21882, 3989, 346, 12319, 2474, 321, 4723, 3703, 10404, 16970, 9939, 3988, 389, 18, 9660, 290, 2387, 17686, 396, 9787, 819, 21882, 526, 4159, 13, 383, 48798, 16, 14592, 18, 225, 17686, 385, 225, 88, 76, 73, 4104, 42944, 2162, 286, 6691, 325, 225, 88, 76, 73, 6440, 556, 49449, 328, 3703, 18, 225, 9365, 16, 21882, 290, 9660, 4203, 346, 13211, 866, 16, 290, 16, 650, 519, 9686, 16, 1466, 52, 13392, 290, 6906, 8792, 225, 88, 76, 73, 45375, 292, 1597, 519, 631, 12656, 21692, 2268, 396, 20850, 9720, 13, 29079, 819, 715, 2701, 2754, 292, 5185, 16, 225, 88, 76, 73, 1220, 1673, 643, 1316, 286, 22264, 225, 88, 76, 73, 5428, 4539, 18, 203, 203, 24318, 6522, 16202, 203, 203, 5663, 291, 225, 88, 76, 73, 1851, 2198, 16, 225, 88, 76, 73, 556, 49449, 328, 5428, 16, 291, 709, 2401, 1627, 981, 225, 88, 76, 73, 3344, 292, 225, 88, 76, 73, 48798, 8797, 16, 38816, 754, 34747, 16202, 286, 225, 88, 76, 73, 9513, 292, 34747, 16, 14592, 18, 225, 34747, 504, 2340, 3190, 15599, 359, 225, 69, 2364, 16, 517, 357, 385, 1689, 48798, 16, 14592, 18, 225, 22174, 34747, 16, 225, 88, 76, 73, 556, 49449, 328, 3703, 35856, 359, 357, 5583, 754, 34747, 16202, 16, 573, 385, 225, 69, 2645, 14032, 286, 654, 5428, 8226, 18, 225, 332, 3839, 6887, 7199, 385, 1712, 359, 225, 88, 76, 73, 3006, 8847, 18, 225, 34747, 16202, 385, 4184, 431, 7458, 7844, 1010, 359, 689, 69, 9425, 292, 1257, 16, 7803, 3214, 17, 13417, 16, 27893, 2340, 359, 325, 225, 69, 11446, 4097, 16, 11291, 9745, 720, 10404, 16970, 2656, 203, 203, 3595, 3502, 6554, 703, 3279, 225, 69, 3488, 326, 10404, 28761, 290, 13218, 1022, 1614, 225, 88, 76, 73, 34747, 16202, 18, 225, 21882, 1912, 31410, 279, 6554, 423, 3024, 7175, 286, 1425, 1482, 225, 69, 8353, 325, 26090, 18, 225, 409, 6554, 2891, 286, 10822, 225, 88, 76, 73, 5557, 326, 3544, 16, 290, 1981, 325, 2928, 346, 21882, 359, 225, 88, 76, 73, 9939, 526, 5499, 4126, 754, 225, 88, 76, 73, 30147, 18, 225, 1456, 225, 88, 76, 73, 991, 292, 225, 88, 76, 73, 3240, 16, 225, 88, 76, 73, 6554, 526, 8353, 326, 225, 69, 3488, 385, 554, 17, 17380, 292, 225, 88, 76, 73, 2278, 292, 225, 88, 76, 73, 13218, 18, 225, 393, 2270, 346, 442, 8353, 16, 21882, 2891, 286, 326, 2336, 3502, 18, 203, 203, 521, 3295, 11285, 286, 339, 959, 5300, 286, 20167, 225, 88, 76, 73, 2972, 18, 225, 29685, 225, 88, 76, 73, 797, 10404, 366, 882, 6319, 1175, 22, 16, 1318, 291, 13101, 27130, 619, 927, 16, 225, 69, 1171, 292, 1621, 291, 24238, 18, 225, 2519, 9179, 16, 225, 88, 76, 73, 27246, 16757, 262, 478, 18, 40, 18, 40755, 396, 44661, 873, 1432, 1175, 825, 16, 1318, 286, 1127, 291, 24238, 18, 225, 557, 2769, 1477, 292, 5185, 857, 16, 279, 2218, 10404, 16970, 882, 339, 3955, 326, 18, 225, 21882, 290, 9660, 39315, 3867, 286, 623, 225, 88, 76, 73, 528, 18, 55, 18, 5425, 286, 8046, 17271, 292, 629, 292, 225, 88, 76, 73, 11404, 290, 1327, 23812, 291, 34747, 16202, 18, 225, 8864, 2151, 723, 16, 544, 9899, 19489, 2939, 286, 502, 225, 88, 76, 73, 548, 658, 797, 27460, 16, 517, 225, 88, 76, 73, 2241, 643, 449, 292, 940, 2278, 18, 203, 203, 10608, 225, 88, 76, 73, 548, 325, 225, 88, 76, 73, 5845, 16, 760, 10404, 16970, 21882, 1801, 1837, 754, 34747, 16202, 385, 4619, 44759, 291, 225, 88, 76, 73, 30147, 18, 225, 409, 18351, 35522, 445, 13583, 290, 17686, 325, 1589, 1148, 16, 24238, 16, 9144, 291, 225, 88, 76, 73, 12938, 292, 17686, 290, 225, 88, 76, 73, 28017, 292, 35522, 445, 13583, 16, 34207, 346, 786, 10316, 609, 720, 7728, 2772, 2960, 18, 225, 1605, 225, 88, 76, 73, 631, 42944, 2217, 4790, 385, 5292, 225, 69, 1162, 2754, 1708, 16, 21882, 385, 1316, 286, 744, 527, 326, 629, 292, 225, 88, 76, 73, 10316, 346, 2967, 3500, 2806, 8275, 325, 225, 88, 76, 73, 556, 49449, 328, 1133, 5218, 34839, 290, 34747, 981, 2110, 1257, 5981, 950, 286, 9323, 527, 325, 2427, 685, 16, 24238, 18, 203, 203, 26725, 286, 225, 88, 76, 73, 640, 1365, 622, 3703, 203, 203, 829, 2494, 23142, 16, 21882, 1981, 3620, 286, 12816, 286, 5770, 291, 225, 88, 76, 73, 14496, 649, 1416, 4162, 19030, 16, 346, 21882, 12515, 286, 1934, 522, 7621, 383, 1482, 1621, 359, 225, 69, 10404, 16970, 9939, 325, 225, 88, 76, 73, 640, 1365, 622, 3703, 857, 961, 10224, 359, 225, 88, 76, 73, 689, 3001, 17, 15685, 6, 5557, 286, 225, 88, 76, 73, 36627, 3703, 3565, 5690, 18, 225, 1507, 225, 88, 76, 73, 640, 1365, 622, 3703, 16, 21882, 3220, 346, 225, 88, 76, 73, 4383, 10404, 16970, 9939, 2212, 29113, 18, 225, 10717, 346, 332, 18, 42, 18, 21157, 16, 21882, 2387, 225, 69, 10404, 16970, 16, 2962, 83, 326, 225, 88, 76, 73, 15103, 2417, 15502, 4108, 292, 8469, 16, 8625, 18, 225, 1099, 1380, 339, 3855, 423, 225, 69, 12656, 2389, 431, 21882, 16, 2962, 83, 644, 3281, 16704, 1257, 2358, 18, 225, 1605, 225, 88, 76, 73, 640, 1365, 622, 5428, 5557, 21903, 359, 279, 14653, 1496, 286, 225, 88, 76, 73, 14496, 649, 1416, 291, 2382, 23142, 16, 2962, 83, 385, 2498, 811, 4924, 286, 640, 18, 4584, 16, 12816, 326, 1310, 325, 225, 88, 76, 73, 36627, 3703, 18, 203 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 203, 25083, 286, 225, 88, 76, 73, 8584, 3703, 203, 12175, 4790, 385, 3168, 785, 286, 9803, 21882, 650, 458, 4415, 423, 522, 14496, 649, 1416, 6737, 16, 290, 325, 2262, 832, 16, 22163, 16, 458, 1837, 633, 3620, 286, 225, 88, 76, 73, 8584, 3703, 325, 522, 4383, 5565, 576, 17, 49756, 14862, 292, 225, 88, 76, 73, 6293, 17955, 10430, 370, 694, 17, 37475, 33081, 16820, 18, 225, 1591, 2217, 4790, 4561, 16, 10404, 1571, 779, 325, 225, 88, 76, 73, 6440, 556, 49449, 328, 4810, 326, 877, 18, 225, 2776, 21882, 644, 652, 7220, 291, 225, 88, 76, 73, 556, 49449, 328, 290, 225, 88, 76, 73, 14496, 649, 1416, 10376, 1074, 7327, 16, 225, 69, 1162, 9686, 644, 4938, 325, 225, 88, 76, 73, 6440, 8584, 18, 225, 557, 23688, 16, 20940, 430, 18, 1078, 2667, 396, 72, 18, 23668, 13, 225, 69, 15690, 6035, 49824, 16, 18830, 16, 9696, 290, 13419, 10404, 16970, 9939, 16, 3459, 12767, 79, 9207, 431, 5036, 423, 781, 308, 91, 368, 4488, 286, 8541, 16, 827, 458, 5292, 633, 517, 1013, 633, 359, 225, 69, 21297, 290, 449, 16, 383, 2070, 7157, 16, 359, 3513, 12656, 18, 225, 3728, 16, 9803, 9763, 1450, 480, 598, 5287, 225, 88, 76, 73, 1308, 15394, 45468, 262, 363, 2049, 290, 8001, 633, 325, 225, 88, 76, 73, 5428, 18, 203, 203, 829, 22163, 21882, 43311, 35414, 18, 225, 21882, 2387, 225, 69, 631, 42944, 16, 43916, 1170, 5327, 16, 1249, 225, 88, 76, 73, 8707, 423, 35414, 573, 643, 431, 857, 643, 658, 4099, 806, 1367, 18, 203, 203, 16787, 291, 225, 88, 76, 73, 3677, 2446, 203, 5997, 1673, 423, 3194, 8584, 3220, 291, 2107, 2446, 314, 573, 2483, 291, 16382, 18, 225, 3011, 13113, 267, 1673, 643, 786, 5053, 16, 874, 21882, 225, 3851, 458, 882, 2801, 427, 8669, 965, 952, 292, 522, 2184, 18, 225, 6466, 16, 21882, 24268, 3194, 5428, 3766, 291, 225, 88, 76, 73, 6707, 3551, 16, 325, 225, 88, 76, 73, 32054, 290, 316, 3460, 293, 12602, 18, 225, 409, 316, 3460, 293, 291, 1935, 385, 291, 225, 69, 2298, 290, 1406, 17, 74, 1960, 10322, 292, 2391, 18, 225, 21882, 385, 449, 225, 88, 76, 73, 770, 554, 292, 225, 88, 76, 73, 1240, 1504, 292, 10404, 16970, 1673, 292, 8541, 286, 3665, 18, 225, 21882, 526, 32896, 16, 2212, 1450, 480, 598, 396, 45354, 1180, 25759, 873, 225, 88, 76, 73, 3198, 292, 522, 2677, 18583, 16, 25528, 290, 1981, 286, 2214, 16, 827, 458, 2154, 554, 292, 770, 2701, 17111, 650, 522, 2913, 385, 34974, 282, 291, 225, 88, 76, 73, 2764, 10805, 18, 203, 203, 13714, 292, 10404, 8226, 325, 225, 88, 76, 73, 6440, 8584, 5428, 203, 203, 521, 3344, 292, 42571, 290, 225, 88, 76, 73, 4087, 33927, 24047, 4835, 431, 225, 88, 76, 73, 2391, 644, 35836, 10404, 28761, 359, 225, 69, 2149, 292, 7478, 325, 225, 88, 76, 73, 6440, 8584, 18, 225, 1591, 21882, 291, 5464, 16, 2861, 285, 4478, 959, 225, 88, 76, 73, 1172, 10404, 16970, 1177, 325, 225, 88, 76, 73, 6440, 8584, 291, 1589, 10754, 16, 10579, 225, 69, 45930, 17, 29314, 14813, 17, 33011, 286, 1127, 225, 69, 6640, 383, 1291, 15491, 16, 573, 650, 2315, 385, 1248, 2110, 286, 1234, 225, 69, 10404, 16970, 286, 1290, 811, 357, 18, 203, 203, 7148, 806, 290, 10180, 203, 35707, 16014, 1100, 7492, 346, 225, 88, 76, 73, 38145, 2151, 325, 522, 2877, 423, 225, 88, 76, 73, 2391, 18, 225, 731, 385, 7631, 9311, 291, 279, 5561, 291, 13237, 16, 3194, 8584, 16, 290, 3904, 291, 225, 69, 4959, 291, 11592, 16, 3194, 8584, 16, 291, 2494, 18672, 18, 225, 1728, 884, 969, 644, 41818, 225, 88, 76, 73, 2218, 2084, 292, 10404, 8226, 291, 225, 88, 76, 73, 19424, 7876, 316, 2821, 423, 26445, 286, 10754, 18, 225, 1294, 4438, 5428, 1010, 596, 644, 1712, 9803, 21882, 928, 292, 950, 30, 689, 2691, 21882, 1059, 596, 882, 1386, 643, 3855, 290, 1059, 596, 4222, 985, 643, 1411, 1736, 2578, 2656, 203, 203, 3591, 568, 203, 10430, 370, 694, 17, 37475, 33081, 18293, 203, 2217, 4790, 396, 334, 1655, 16757, 262, 24238, 13, 203, 3011, 13113, 1538, 292, 225, 88, 76, 73, 6440, 8584, 290, 556, 49449, 328, 15631, 203, 203, 9824, 203, 203, 1758, 7068, 4686, 203, 33225, 5850, 203, 15685, 25636, 203, 9346, 1811, 807, 37541, 203, 5013, 292, 225, 88, 76, 73, 14496, 649, 1416, 4162, 19030, 2, 0, 3111, 285, 314, 78, 4197, 19627, 568, 31299, 4254, 88, 314, 78, 4197, 5507, 318, 225, 69, 4227, 291, 225, 88, 76, 73, 15370, 49976, 291, 225, 88, 76, 73, 4574, 2699, 5202, 346, 279, 1389, 292, 384, 16, 25, 4299, 41541, 1811, 18, 18556, 5699, 2701, 4638, 3620, 292, 15370, 16, 357, 644, 225, 69, 3650, 292, 1025, 9527, 291, 3868, 18, 203, 203, 13403, 203, 3111, 285, 314, 78, 4197, 318, 2558, 18975, 3620, 17, 5448, 292, 15370, 16, 225, 38167, 431, 995, 478, 570, 286, 225, 88, 76, 73, 5898, 290, 995, 478, 570, 3931, 286, 225, 88, 76, 73, 3620, 16, 1397, 285, 10245, 85, 416, 286, 225, 88, 76, 73, 5696, 16, 290, 361, 1894, 89, 286, 225, 88, 76, 73, 3686, 18, 203, 203, 6355, 203, 203, 36166, 18726, 7099, 225, 203, 3111, 285, 314, 78, 4197, 225, 385, 11395, 698, 225, 88, 76, 73, 20711, 8918, 291, 1583, 2419, 346, 479, 292, 22972, 16, 290, 291, 1583, 10266, 357, 4938, 291, 225, 88, 76, 73, 2666, 30514, 359, 961, 291, 225, 88, 76, 73, 18569, 448, 4568, 292, 995, 17, 53, 13049, 291, 225, 88, 76, 73, 492, 9108, 292, 995, 17, 53, 13049, 811, 225, 88, 76, 73, 1565, 292, 4254, 88, 314, 4197, 18, 601, 644, 225, 69, 3650, 292, 1025, 5529, 31, 596, 643, 479, 16824, 18, 1108, 3955, 225, 69, 6503, 1343, 3430, 311, 2666, 17, 20833, 292, 8987, 18, 23, 9, 325, 10834, 1646, 16, 1315, 15557, 16, 34421, 16, 2779, 13947, 16, 11546, 4811, 16, 25398, 16, 5714, 4811, 16, 26525, 290, 17250, 76, 1052, 16, 291, 1408, 286, 13419, 17880, 31 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 225, 69, 2914, 292, 384, 16, 5297, 47000, 8999, 73, 18, 203, 203, 829, 1946, 5831, 6476, 41385, 432, 373, 3249, 357, 4764, 272, 262, 16, 4243, 357, 689, 263, 225, 88, 76, 73, 9951, 286, 225, 88, 76, 73, 5898, 292, 225, 88, 76, 73, 11667, 2656, 203, 203, 829, 38625, 16, 357, 385, 4184, 359, 225, 69, 8784, 225, 4227, 16, 2558, 291, 225, 88, 76, 73, 41589, 37963, 1389, 16, 5696, 292, 15370, 18, 203, 203, 829, 28166, 225, 88, 76, 73, 19059, 42, 526, 11822, 292, 5201, 22972, 396, 11209, 52, 13, 4184, 1397, 285, 314, 28511, 359, 30, 689, 69, 4227, 292, 13401, 2637, 325, 225, 69, 9951, 346, 225, 69, 4618, 383, 629, 5061, 286, 225, 88, 76, 73, 5696, 1556, 203, 203, 12808, 11275, 405, 7099, 203, 829, 225, 88, 76, 73, 18154, 10887, 292, 22972, 6653, 431, 225, 88, 76, 73, 3194, 11275, 405, 7655, 16, 689, 38, 5060, 314, 28511, 6, 644, 225, 69, 3650, 292, 15916, 16824, 16, 22995, 5352, 291, 225, 88, 76, 73, 18189, 10887, 286, 13959, 16824, 16, 291, 2116, 5631, 18, 203, 203, 829, 225, 88, 76, 73, 11577, 9256, 1397, 285, 314, 78, 4197, 644, 225, 69, 3650, 292, 225, 5392, 16824, 16, 346, 225, 69, 2914, 292, 384, 16, 33224, 41541, 1811, 292, 2171, 16, 3060, 286, 279, 3131, 2171, 290, 3650, 5949, 18, 2924, 442, 16, 36390, 1013, 36000, 41541, 1811, 326, 35742, 290, 14964, 337, 545, 2171, 16, 1260, 2905, 326, 43378, 16, 1027, 1188, 41541, 1811, 643, 2387, 17, 406, 396, 28772, 13, 2171, 18, 203, 203, 34075, 666, 7099, 203, 829, 225, 88, 76, 73, 9361, 292, 225, 88, 76, 73, 13499, 6509, 1180, 35344, 2446, 16, 290, 819, 225, 88, 76, 73, 14933, 9121, 472, 525, 45621, 16, 1397, 285, 314, 78, 4197, 1882, 225, 811, 9981, 666, 5686, 18, 203, 203, 521, 9981, 666, 10887, 292, 13356, 1100, 40440, 14382, 291, 1397, 285, 314, 78, 4197, 18, 203, 203, 5956, 11488, 203, 5678, 225, 88, 76, 73, 11554, 17, 10049, 2446, 291, 11488, 16, 1397, 285, 314, 78, 4197, 504, 652, 811, 12525, 15234, 18, 203, 203, 8897, 225, 88, 76, 73, 7601, 26438, 3299, 43759, 16, 1025, 18, 27, 9, 292, 225, 88, 76, 73, 2914, 4227, 1389, 385, 13982, 359, 7649, 361, 16, 290, 225, 88, 76, 73, 6097, 18979, 18, 23, 9, 13982, 359, 7649, 331, 16, 811, 1444, 12525, 1945, 18, 6600, 504, 44905, 2171, 291, 1397, 285, 314, 78, 4197, 326, 19764, 16, 1315, 421, 440, 11, 267, 14992, 11, 2815, 290, 421, 440, 11, 263, 9773, 11, 16357, 14636, 18, 557, 1408, 16, 225, 88, 76, 73, 14439, 2832, 15362, 4353, 1397, 285, 314, 78, 4197, 2171, 16, 4721, 1260, 3819, 41541, 4870, 16, 396, 281, 8821, 18, 21, 9, 292, 225, 88, 76, 73, 2914, 4227, 526, 1389, 873, 2578, 225, 88, 76, 73, 2832, 16, 325, 225, 88, 76, 73, 12525, 1752, 18, 409, 19164, 3848, 292, 225, 88, 76, 73, 2171, 1381, 8413, 325, 12525, 9443, 286, 1496, 519, 2171, 18, 24199, 1539, 318, 770, 8740, 286, 225, 88, 76, 73, 2646, 4372, 16, 1541, 13318, 717, 16, 4721, 624, 6708, 286, 6760, 723, 286, 548, 225, 88, 76, 73, 2171, 18, 2060, 1201, 291, 1397, 285, 314, 78, 4197, 2654, 346, 5786, 325, 479, 5941, 292, 709, 2646, 1966, 286, 5613, 2171, 889, 3644, 587, 431, 6600, 18, 203, 203, 1759, 12365, 203, 56, 560, 6172, 85, 1594, 28514, 1100, 225, 69, 7056, 85, 321, 396, 1485, 12365, 13, 326, 509, 17, 82, 4158, 39550, 397, 16, 325, 225, 69, 3527, 573, 15198, 1397, 285, 314, 78, 4197, 18, 203, 203, 1987, 203, 203, 18008, 4327, 6286, 21246, 15717, 9664, 48532, 396, 25763, 18, 5787, 225, 1946, 774, 1124, 30, 442, 2719, 1397, 285, 314, 78, 4197, 16, 3060, 286, 1890, 12391, 16, 3384, 16, 225, 283, 18, 2682, 3275, 24, 13, 1563, 396, 84, 18, 3059, 3859, 24, 13, 203, 203, 3257, 2477, 203, 9473, 286, 4254, 88, 314, 78, 4197, 203, 12841, 3545, 292, 5201, 22972, 16, 10439, 1946, 30, 225, 314, 8654, 16, 47841, 721, 743, 1563, 4254, 88, 314, 78, 4197, 4227, 396, 49129, 8181, 873, 225, 21367, 4666, 4339, 1180, 25092, 14792, 396, 38358, 46, 13, 6171, 1397, 285, 314, 78, 4197, 4227, 5437, 16, 7688, 45, 46, 203, 1397, 285, 314, 78, 4197, 225, 19116, 1500, 16, 7688, 45, 46, 203, 42145, 1030, 4691, 10923, 788, 290, 21766, 291, 1397, 285, 314, 78, 4197, 16, 7688, 45, 46, 203, 14954, 26442, 203, 203, 23658, 291, 225, 88, 76, 73, 2699, 5202, 203, 25092, 14792, 49976, 2, 0, 521, 5744, 284, 297, 9069, 318, 225, 69, 28239, 35752, 17, 18982, 666, 295, 43292, 10692, 2613, 8772, 291, 225, 88, 76, 73, 40142, 3503, 396, 13814, 371, 10813, 286, 225, 88, 76, 73, 39351, 17, 4577, 4584, 34524, 468, 308, 873, 1155, 5449, 1708, 18, 203, 203, 521, 39742, 8846, 16, 325, 522, 836, 286, 225, 69, 4570, 3492, 383, 38037, 274, 23478, 16, 318, 25008, 2498, 286, 378, 2664, 16, 573, 318, 13785, 431, 41045, 7227, 290, 41045, 7576, 396, 9288, 225, 88, 76, 73, 22162, 409, 5106, 299, 380, 359, 225, 69, 8259, 873, 290, 827, 689, 25531, 299, 20229, 555, 6, 396, 344, 318, 16, 13333, 13, 744, 527, 770, 554, 32718, 396, 19497, 162, 125, 118, 29651, 29293, 37015, 25364, 31520, 13, 292, 798, 18, 203, 203, 829, 554, 4573, 16, 225, 69, 310, 367, 600, 4214, 2245, 689, 44686, 975, 664, 225, 88, 76, 73, 2900, 6, 47080, 291, 5744, 284, 297, 526, 1132, 18, 3059, 4075, 12502, 31952, 1723, 357, 526, 522, 24346, 16531, 18, 203, 203, 41, 1588, 290, 10143, 203, 395, 18, 5250, 83, 16, 689, 52, 15732, 83, 17, 18982, 5738, 16, 5744, 284, 7223, 2995, 291, 24594, 438, 2192, 1844, 28497, 17, 31814, 270, 3271, 503, 368, 6117, 2571, 384, 18, 25567, 30, 9519, 285, 15225, 1623, 10697, 7025, 18, 6128, 728, 1428, 1623, 1105, 900, 567, 19230, 438, 2192, 16, 10945, 31, 12357, 18, 10908, 17, 12721, 18, 203, 361, 18, 26669, 16, 5744, 284, 297, 16 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 3826, 22213, 346, 21228, 290, 48814, 18, 11471, 30, 13491, 2361, 1495, 5362, 16, 9483, 18, 203, 1294, 263, 355, 9912, 30900, 555, 378, 295, 4594, 5744, 284, 297, 16, 4761, 105, 2815, 30, 1554, 77, 82, 27870, 62, 56, 41898, 54, 47, 16, 38865, 19988, 30, 7093, 5874, 77, 44163, 13098, 82, 8963, 13098, 16, 1920, 18, 203, 203, 3591, 568, 203, 409, 5525, 4202, 308, 388, 428, 29395, 298, 438, 567, 431, 6832, 666, 203, 18393, 20668, 11, 17115, 286, 378, 2664, 396, 18539, 28239, 13, 203, 203, 1987, 203, 556, 3239, 468, 293, 16, 332, 2562, 12713, 270, 1486, 291, 24594, 438, 1795, 30, 409, 28482, 587, 292, 7417, 24619, 290, 225, 88, 76, 73, 31921, 292, 225, 88, 76, 73, 24544, 26885, 18, 10870, 30, 331, 16226, 16, 3486, 31, 12357, 18, 3498, 26, 17, 4309, 23, 18, 203, 430, 78, 308, 12835, 16, 689, 521, 5744, 284, 297, 30, 14482, 454, 225, 69, 26470, 3624, 36640, 2995, 291, 363, 18, 15281, 281, 3421, 396, 282, 16792, 3523, 2245, 271, 579, 11764, 486, 2215, 1080, 88, 17565, 1134, 28239, 30, 1254, 9177, 476, 509, 225, 88, 438, 9882, 3798, 3212, 25047, 6700, 18, 5438, 30, 18827, 33862, 697, 289, 947, 272, 225, 19691, 9970, 509, 15193, 1670, 272, 16, 5563, 294, 352, 19691, 9970, 24594, 438, 2308, 16, 309, 1812, 83, 17, 31814, 20359, 4005, 1844, 266, 457, 17, 386, 310, 14363, 1812, 270, 975, 396, 40, 1441, 5199, 431, 94, 438, 1448, 16, 2103, 18, 1148, 16, 21423, 859, 203, 14134, 24677, 261, 16, 332, 18, 290, 332, 18, 1967, 31162, 17, 13345, 8116, 16, 10415, 291, 28239, 10669, 291, 225, 88, 76, 73, 11100, 20770, 290, 2661, 32858, 1645, 5038, 18, 17651, 290, 5511, 5894, 30, 1495, 292, 3470, 5362, 16, 5969, 31, 12357, 18, 43276, 32293, 18, 203, 203, 3462, 94, 18780, 8049, 203, 1996, 88, 76, 17, 4577, 2929, 2, 0, 59, 700, 577, 3166, 20581, 10858, 13, 318, 225, 69, 4497, 3702, 596, 2483, 4067, 383, 225, 88, 76, 73, 2184, 292, 797, 17, 387, 17, 69, 17, 18127, 18, 2325, 548, 385, 17167, 291, 3671, 650, 780, 385, 1560, 16, 4938, 325, 225, 69, 31584, 12142, 650, 780, 385, 3815, 16, 290, 780, 644, 225, 69, 7182, 6821, 383, 225, 69, 5977, 291, 3023, 650, 780, 385, 22677, 16, 290, 2415, 819, 16, 383, 225, 88, 76, 73, 11835, 351, 18, 47492, 2268, 7940, 383, 225, 88, 76, 73, 35398, 25897, 16, 291, 225, 69, 7950, 11864, 6331, 431, 225, 88, 76, 73, 13237, 17, 2598, 6021, 4680, 292, 2398, 291, 9734, 2086, 16, 10472, 18, 409, 47492, 2268, 11864, 2765, 225, 69, 4067, 1772, 650, 780, 385, 1220, 9430, 689, 47, 17631, 1556, 203, 203, 3462, 225, 88, 76, 73, 595, 780, 385, 22576, 16, 2701, 1046, 2929, 644, 652, 3055, 581, 16973, 577, 3166, 18, 1108, 2705, 225, 88, 76, 73, 1806, 292, 279, 17356, 2448, 596, 3719, 286, 5417, 32728, 16, 8634, 19144, 16, 290, 9420, 16, 290, 596, 5789, 698, 225, 69, 1004, 17, 34688, 1840, 6840, 596, 8748, 359, 44509, 292, 225, 88, 76, 73, 35398, 8218, 633, 1582, 2089, 7353, 290, 5879, 346, 633, 9868, 7726, 18, 203, 203, 59, 700, 577, 3166, 568, 17167, 291, 4681, 290, 5789, 286, 1246, 345, 1868, 291, 633, 3960, 6840, 806, 18, 2594, 1255, 225, 88, 76, 73, 3911, 3162, 290, 4499, 225, 69, 11357, 286, 2621, 953, 291, 4681, 16, 291, 7196, 2483, 286, 2621, 953, 383, 225, 88, 76, 73, 5029, 292, 12536, 4950, 17743, 18, 1236, 504, 644, 798, 14190, 291, 4681, 1364, 7196, 16, 1315, 383, 6535, 14909, 23972, 6491, 18, 203, 203, 4290, 318, 4308, 286, 9036, 19325, 4019, 17, 261, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 59, 700, 577, 3166, 203, 203, 33499, 423, 25827, 20558, 203, 6004, 717, 203, 22157, 4686, 203, 20278, 93, 292, 12536, 4950, 16, 17743, 7692, 203, 5013, 423, 2167, 44360, 203, 24190, 3852, 2, 0, 16177, 6949, 378, 575, 396, 8209, 1136, 16, 15360, 696, 2209, 4600, 16, 7752, 13, 385, 279, 1644, 13749, 14840, 290, 15783, 596, 318, 6951, 286, 427, 19025, 1560, 1778, 291, 290, 1060, 4223, 15146, 981, 522, 6658, 291, 10708, 18, 731, 385, 17728, 292, 6958, 277, 1220, 292, 624, 16, 290, 449, 3459, 286, 4972, 325, 225, 88, 76, 73, 5837, 18, 731, 385, 12328, 431, 225, 88, 76, 73, 1627, 292, 7271, 291, 225, 88, 76, 73, 4180, 5309, 18, 203, 203, 18552, 3370, 203, 829, 10708, 16, 16772, 16, 7271, 385, 22146, 225, 69, 8293, 292, 25371, 292, 1778, 18, 11605, 13318, 2660, 1778, 644, 652, 5588, 431, 225, 69, 30569, 1258, 32524, 225, 88, 76, 73, 9371, 277, 3012, 43401, 18, 557, 1408, 16, 225, 88, 76, 73, 6787, 292, 797, 1840, 2532, 2762, 4540, 644, 652, 1100, 2573, 292, 5218, 3571, 636, 6665, 18, 203, 203, 521, 38995, 3074, 292, 9494, 643, 7847, 431, 225, 69, 4964, 286, 225, 88, 76, 73, 1491, 4060, 6715, 3055, 325, 1851, 2198, 5349, 37005, 18, 409, 40296, 3639, 41463, 286, 339, 423, 225, 69, 11449, 292, 4266, 2660, 1673, 596, 643, 5736, 225, 69, 2532, 3259, 36648, 290, 703, 6719, 633, 691, 225, 88, 76, 73, 9371, 277, 3012, 43401, 643, 449, 3698, 50202, 18, 409, 9371, 277, 3012, 43401, 385, 6951, 286, 339, 225, 69, 2532, 563, 16, 290, 442, 644, 652, 7303, 4001, 383, 225, 88, 76, 73, 595, 18, 203, 203, 521, 4266, 2660, 35721, 272, 17605, 286, 339, 1712, 359, 225, 88, 76, 73, 689, 1905, 1437, 292, 23618, 2995, 290, 2421, 225, 88, 76, 73, 4060, 6715, 286, 7418, 346, 624, 2726, 6566, 325, 4824, 388, 4239, 18, 409, 724, 4964, 385, 3938, 431, 1761, 31, 4619, 16, 225, 69, 27307, 3890, 292, 1175, 1537, 16, 1318, 385, 568, 959, 286, 1209, 225, 88, 76, 73, 10037, 36648, 16, 36675, 7472, 16, 8207, 18, 396, 32801, 385, 568, 1712, 359, 32878, 36675, 21098, 2284, 290, 609, 23405, 2224, 3155, 409, 7566, 643, 3938, 431, 2773, 4914, 18, 203, 203, 521, 7566, 290, 4914, 643, 225, 69, 49961, 5984, 286, 42824, 2949, 423, 225, 88 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 76, 73, 1229, 14840, 18, 36675, 7472, 16, 225, 88, 76, 73, 6536, 36648, 16, 644, 652, 19025, 2176, 2754, 981, 780, 385, 1100, 16, 290, 981, 225, 88, 76, 73, 724, 4964, 385, 2632, 18, 2325, 1657, 385, 5476, 291, 1846, 2355, 10708, 18, 225, 1236, 385, 2967, 806, 1367, 18, 13963, 22893, 16, 1737, 6918, 291, 2162, 1378, 1015, 423, 225, 88, 76, 73, 689, 1905, 1437, 292, 23618, 2995, 225, 69, 1361, 2532, 3259, 526, 1657, 385, 1100, 383, 225, 69, 18346, 2080, 383, 5218, 3571, 636, 18, 225, 2325, 1565, 385, 32374, 364, 9207, 2201, 18, 1236, 385, 7410, 18, 203, 203, 42, 9509, 1096, 10681, 5358, 556, 18, 395, 49668, 2267, 225, 69, 5437, 573, 34609, 345, 225, 88, 76, 73, 14840, 385, 554, 563, 16, 449, 4266, 31, 2532, 16, 449, 2660, 31, 2013, 16, 449, 761, 17, 38676, 16, 290, 2613, 225, 69, 2110, 17, 38707, 4223, 563, 383, 225, 88, 76, 73, 4033, 291, 522, 2775, 36874, 18, 203, 203, 10464, 225, 88, 76, 73, 5437, 290, 3293, 345, 1119, 7472, 290, 364, 9207, 2201, 643, 49222, 16, 7271, 12146, 292, 29867, 7106, 19834, 1689, 225, 88, 76, 73, 4033, 326, 8411, 573, 644, 4176, 2532, 20390, 18, 1108, 643, 2678, 1316, 286, 5095, 5169, 378, 575, 290, 6658, 950, 18, 225, 731, 385, 225, 69, 17733, 396, 41, 17, 24, 13, 7341, 286, 279, 21895, 4411, 383, 225, 88, 76, 73, 4033, 359, 225, 69, 6279, 5380, 18, 378, 575, 644, 10963, 522, 4223, 2269, 359, 225, 69, 11212, 981, 7171, 225, 88, 76, 73, 5349, 18, 203, 203, 1989, 23975, 346, 4840, 1315, 522, 40047, 16, 3857, 11974, 16, 290, 12334, 11487, 423, 225, 88, 76, 73, 7284, 7825, 16, 378, 575, 37016, 286, 9990, 1119, 1778, 290, 286, 225, 88, 76, 73, 9990, 292, 225, 69, 2630, 3259, 383, 5218, 3571, 636, 291, 2427, 11086, 18, 15144, 33303, 1010, 16, 2357, 16, 385, 225, 69, 2660, 5349, 2879, 1712, 286, 2777, 2532, 8931, 290, 36525, 291, 2532, 28689, 18, 378, 575, 385, 449, 7633, 346, 33303, 1010, 526, 6958, 291, 225, 88, 76, 73, 18890, 1056, 16, 517, 385, 7633, 16, 3867, 16, 290, 17728, 431, 225, 69, 3696, 15154, 326, 633, 2371, 18, 203, 203, 32700, 16, 378, 575, 385, 568, 6884, 359, 225, 88, 76, 73, 14840, 292, 225, 69, 1840, 2532, 3259, 383, 5218, 16384, 16394, 291, 9880, 18, 378, 575, 385, 449, 7633, 346, 442, 6958, 18, 203, 203, 5632, 16, 5200, 522, 1560, 1712, 4755, 24904, 16, 458, 385, 17356, 292, 225, 88, 76, 73, 9371, 277, 3012, 43401, 25371, 16, 4619, 16686, 286, 1378, 2532, 563, 16, 33912, 12322, 18, 203, 203, 19207, 10857, 203, 378, 575, 385, 17728, 291, 225, 69, 4223, 3696, 16, 517, 449, 3867, 291, 18890, 10857, 16, 326, 225, 88, 76, 73, 6958, 292, 32374, 364, 9207, 2201, 18, 203, 378, 575, 385, 568, 3867, 290, 17728, 291, 225, 69, 3696, 15154, 16, 517, 449, 225, 69, 18890, 3696, 16, 326, 225, 88, 76, 73, 6958, 292, 15144, 33303, 1010, 18, 203, 4150, 522, 3696, 15154, 326, 225, 88, 76, 73, 6958, 292, 32374, 364, 9207, 2201, 16, 378, 575, 2524, 225, 69, 969, 10574, 573, 385, 25467, 650, 11287, 816, 2891, 458, 24846, 225, 88, 76, 73, 4613, 4767, 326, 673, 1573, 3362, 18, 203, 1078, 225, 88, 76, 73, 5850, 292, 1119, 33303, 1010, 290, 364, 9207, 2201, 16, 378, 575, 526, 2243, 3696, 15154, 10574, 385, 969, 383, 1406, 5418, 18, 225, 409, 33272, 643, 917, 8020, 291, 6336, 290, 458, 385, 449, 9680, 920, 431, 225, 88, 76, 73, 4223, 3696, 1056, 18, 203, 203, 29719, 666, 10857, 203, 378, 575, 414, 18, 2361, 16, 2357, 25, 16768, 18, 1188, 7055, 16, 3538, 28, 319, 18, 41, 18, 22, 72, 685, 5858, 16, 3576, 18, 13010, 16, 832, 5932, 528, 18, 55, 18, 1136, 12125, 16, 14935, 319, 18, 39, 88, 18, 1148, 10266, 16, 14852, 411, 18, 7161, 18, 22, 72, 1025, 2288, 396, 15929, 859, 557, 442, 1715, 16, 378, 575, 526, 19314, 290, 10574, 292, 2371, 291, 225, 88, 76, 73, 7472, 6958, 643, 37999, 431, 225, 88, 76, 73, 7271, 9447, 4368, 18, 225, 409, 364, 9207, 2201, 6958, 318, 568, 2765, 291, 225, 88, 76, 73, 4368, 526, 8094, 342, 292, 225, 88, 76, 73, 8089, 18, 203, 378, 575, 414, 18, 1343, 438, 16, 6049, 26, 528, 18, 55, 18, 1260, 5210, 16, 25689, 319, 18, 39, 88, 18, 452, 6427, 16, 13366, 411, 18, 7161, 18, 22, 72, 10908, 21, 396, 20684, 859, 409, 1851, 2198, 9447, 4368, 13010, 3576, 1409, 2829, 291, 378, 575, 526, 4789, 34571, 42794, 5610, 291, 225, 88, 76, 73, 7472, 6958, 18, 6171, 5169, 6949, 378, 575, 16, 4553, 584, 262, 16, 414, 18, 13475, 389, 18, 1343, 438, 16, 374, 3292, 16, 7271, 26311, 14479, 1009, 41018, 2916, 16, 36752, 300, 1851, 2198, 4368, 292, 27579, 16, 11100, 20770, 17865, 18, 1025, 10266, 393, 18, 22, 72, 1260, 3475, 16, 3576, 18, 13010, 16, 11795, 23, 528, 18, 55, 18, 1519, 1537, 16, 26821, 319, 18, 39, 88, 18, 5742, 5601, 16, 17333, 411, 18, 7161, 18, 22, 72, 2272, 13141, 396, 20345, 859, 1979, 225, 88, 76, 73, 528, 18, 55, 18, 9447, 4368, 15087, 286, 1696, 522, 724, 4789, 34571, 15330, 291, 225, 88, 76, 73, 7472, 1715, 291, 10201, 16, 225, 88, 76, 73, 5620, 37819, 405, 3696, 326, 225, 88, 76, 73, 1814, 88, 76, 17865, 16, 573, 2626, 7271, 16, 37999, 378, 575, 526, 19314, 517, 7392, 225, 69, 9680, 463, 292, 225, 88, 76, 73, 42565, 3232, 952, 225, 88, 76, 73, 30521, 526, 8899, 9949, 18772, 225, 88, 76, 73, 42565, 25806, 23877, 19012, 16, 290, 952, 797, 11287, 816, 643, 44642, 22008, 291, 18283, 292, 1591, 366, 19727, 414, 18, 8073, 16, 225, 69, 1715, 581, 34448, 4047, 286, 15291, 1592, 4160, 519, 2371, 12338, 11365, 18, 409, 5620, 37819, 405, 3696, 4477, 7392, 225, 88, 76, 73, 1627, 3696, 1056, 286, 1369, 225, 69, 631, 16, 543, 3492, 16, 42565, 6652, 4972, 326, 225, 88 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 76, 73, 6958, 292, 7472, 18, 203, 378, 575, 414, 18, 2361, 16, 2399, 24, 16768, 18, 848, 4946, 16, 685, 6011, 319, 18, 41, 18, 22, 72, 3436, 27, 16, 3576, 18, 13010, 16, 832, 10559, 528, 18, 55, 18, 1136, 5831, 16, 27738, 319, 18, 39, 88, 18, 4099, 26, 16, 16927, 411, 18, 7161, 18, 22, 72, 848, 13041, 396, 19677, 859, 225, 1979, 225, 69, 1361, 42565, 4972, 9144, 291, 1378, 2371, 10574, 326, 225, 88, 76, 73, 6958, 292, 7472, 16, 225, 88, 76, 73, 7271, 9447, 4368, 37999, 225, 88, 76, 73, 2371, 10574, 18, 203, 378, 575, 10511, 1378, 15330, 326, 4789, 34571, 42794, 291, 225, 88, 76, 73, 21410, 4368, 292, 1218, 375, 2307, 16, 573, 318, 225, 69, 7271, 1627, 4972, 3696, 18, 225, 1666, 3696, 13010, 522, 15330, 819, 5736, 279, 12435, 49169, 6077, 18, 203, 378, 575, 414, 18, 34971, 16, 2399, 28, 16768, 18, 1025, 5932, 16, 9727, 23, 319, 18, 41, 18, 22, 72, 1124, 24, 396, 18988, 873, 3576, 18, 13010, 16, 832, 4979, 528, 18, 55, 18, 1136, 1996, 16, 30875, 319, 18, 39, 88, 18, 1958, 7096, 16, 26847, 411, 18, 7161, 18, 22, 72, 46745, 396, 18313, 13, 409, 7271, 9447, 4368, 37999, 225, 88, 76, 73, 25509, 292, 4789, 34571, 42794, 431, 225, 88, 76, 73, 21410, 4368, 292, 1218, 375, 2307, 16, 290, 291, 8694, 16, 225, 88, 76, 73, 528, 18, 55, 18, 9447, 4368, 10973, 286, 1696, 522, 5610, 292, 225, 88, 76, 73, 8973, 7271, 9447, 4368, 14209, 18, 203, 1979, 225, 88, 76, 73, 7271, 9447, 4368, 37999, 225, 88, 76, 73, 25509, 292, 4789, 34571, 42794, 431, 225, 88, 76, 73, 21410, 4368, 292, 1218, 375, 2307, 291, 8973, 16, 378, 575, 857, 10511, 225, 69, 631, 15330, 326, 4789, 34571, 42794, 291, 225, 88, 76, 73, 5620, 4010, 4368, 326, 225, 88, 76, 73, 6707, 4010, 292, 7271, 31, 345, 3696, 13010, 225, 88, 76, 73, 15330, 1342, 5736, 279, 12435, 49169, 6077, 18, 225, 378, 575, 857, 27723, 286, 225, 88, 76, 73, 5620, 37819, 405, 3696, 326, 225, 88, 76, 73, 1814, 88, 76, 17865, 16, 573, 2891, 225, 88, 76, 73, 1715, 291, 2494, 16, 8169, 18, 6171, 5169, 6949, 378, 575, 16, 4553, 584, 262, 17, 495, 468, 438, 16, 414, 18, 13475, 1343, 438, 16, 374, 3292, 16, 7271, 26311, 14479, 954, 41018, 2916, 16, 36752, 300, 17, 495, 5477, 73, 1851, 2198, 4368, 292, 27579, 16, 11100, 20770, 17865, 18, 1260, 13604, 393, 18, 22, 72, 377, 24476, 396, 5902, 18, 1025, 16, 8169, 859, 43849, 7790, 290, 43849, 7790, 2433, 49274, 4901, 920, 2209, 1814, 16, 8169, 18, 225, 557, 225, 69, 6502, 5090, 1374, 16, 225, 69, 5929, 292, 225, 88, 76, 73, 5620, 37819, 405, 3696, 291, 225, 88, 76, 73, 1814, 88, 76, 17865, 13010, 378, 575, 526, 4789, 34571, 5610, 291, 225, 88, 76, 73, 7472, 6958, 16, 290, 13010, 950, 225, 88, 76, 73, 2516, 286, 1552, 522, 1715, 286, 225, 88, 76, 73, 1444, 37819, 405, 9183, 396, 47818, 292, 225, 88, 76, 73, 5929, 859, 203, 203, 1893, 14981, 203, 44, 575, 385, 19061, 286, 2371, 291, 18890, 3696, 326, 225, 88, 76, 73, 6958, 292, 36675, 7472, 290, 19061, 286, 969, 291, 6442, 291, 4223, 3696, 326, 225, 88, 76, 73, 2371, 292, 32374, 364, 9207, 2201, 18, 1728, 4223, 969, 10574, 326, 364, 9207, 2201, 385, 40705, 18, 1728, 18890, 2371, 10574, 326, 7472, 385, 449, 18, 731, 385, 12328, 431, 225, 88, 76, 73, 1627, 292, 7271, 325, 2209, 4600, 16, 7752, 16, 2726, 225, 88, 76, 73, 4180, 5309, 18, 731, 385, 225, 88, 76, 73, 3275, 21, 334, 44889, 12328, 14342, 1364, 225, 88, 76, 73, 528, 18, 55, 18, 9447, 4368, 12501, 225, 88, 76, 73, 2371, 12338, 291, 10687, 290, 225, 88, 76, 73, 1124, 88, 76, 291, 7271, 18, 203, 203, 829, 225, 88, 76, 73, 2021, 981, 522, 2371, 16, 225, 88, 76, 73, 9447, 4368, 11307, 16, 1025, 1180, 23, 16, 449, 286, 1425, 522, 5610, 18, 225, 557, 49923, 16, 8381, 9560, 3260, 20854, 928, 345, 874, 691, 458, 644, 449, 3077, 203, 203, 44, 575, 644, 279, 29476, 292, 8451, 17, 8950, 2697, 16, 573, 1284, 8223, 950, 359, 689, 29913, 945, 11020, 13160, 6, 325, 2875, 3009, 17127, 292, 4613, 48160, 342, 18, 203, 203, 3286, 49801, 203, 5962, 2148, 13374, 378, 575, 526, 4613, 290, 28976, 4709, 644, 2267, 16908, 2922, 286, 225, 88, 76, 73, 927, 292, 522, 13148, 8535, 297, 16, 290, 554, 1641, 88, 76, 73, 2537, 292, 13784, 17403, 291, 225, 88, 76, 73, 1627, 42565, 15291, 1641, 336, 18239, 26574, 12534, 18, 409, 7271, 2361, 4119, 292, 363, 454, 743, 290, 2407, 6757, 644, 449, 874, 7446, 1160, 709, 1374, 26380, 522, 2037, 292, 10843, 16, 290, 1368, 22213, 357, 346, 1378, 3235, 581, 629, 609, 23966, 18, 409, 7271, 9447, 4368, 13010, 522, 5610, 431, 770, 554, 6158, 16, 832, 1180, 23, 18, 203, 203, 3134, 292, 522, 11287, 816, 383, 522, 1361, 42565, 396, 9456, 225, 88, 76, 73, 724, 385, 25467, 326, 18113, 89, 6615, 33902, 873, 225, 69, 2660, 3259, 3249, 24483, 10949, 328, 16, 1882, 2540, 286, 1891, 345, 609, 11287, 816, 959, 13784, 19127, 581, 378, 575, 955, 359, 689, 3443, 554, 543, 9905, 309, 23912, 345, 786, 554, 703, 2362, 6, 290, 16, 691, 12328, 16, 458, 703, 339, 689, 582, 1490, 309, 23912, 286, 11440, 1556, 203, 203, 1926, 385, 770, 554, 2532, 11287, 281, 16, 225, 69, 3538, 17, 2996, 17, 765, 3259, 3249, 15820, 296, 10071, 30205, 18, 5502, 286, 10949, 328, 16, 30205, 385, 22792, 286, 13784, 291, 315, 977, 437, 291, 225, 88, 76, 73, 15291, 1628, 18, 5502, 286, 1119, 10949, 328, 290, 30205, 6200, 16, 30205, 10973, 286, 6158, 326, 225, 88, 76, 73, 2371, 12338, 18, 409, 609, 11287, 816, 14967, 633, 290, 4001, 286, 225, 88, 76, 73, 8259, 345, 544, 643, 33234, 18, 1605, 225, 88, 76, 73, 15291, 385, 1115, 1047, 291, 225, 88, 76, 73, 4933, 292 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 225, 88, 76, 73, 3696, 16, 30205, 385, 431, 857, 1248, 31889, 286, 2837, 527, 18, 409, 609, 11287, 816, 644, 2705, 633, 345, 780, 882, 339, 17728, 292, 619, 78, 1384, 691, 780, 3838, 286, 1914, 524, 16, 1364, 780, 644, 34068, 16, 1154, 15291, 4555, 16, 345, 780, 882, 6158, 326, 225, 88, 76, 73, 2371, 12338, 18, 203, 203, 521, 4840, 292, 10949, 328, 290, 30205, 524, 34984, 798, 2274, 14633, 18, 225, 26389, 554, 8450, 12534, 16, 1563, 203, 2598, 225, 69, 1690, 1204, 4975, 225, 88, 76, 73, 1737, 602, 16, 8385, 22419, 478, 18, 16841, 480, 5586, 383, 629, 4980, 522, 6237, 345, 378, 575, 526, 3593, 10057, 286, 225, 88, 76, 73, 10574, 18, 203, 203, 829, 2220, 3354, 203, 44, 575, 385, 18105, 431, 32901, 10498, 291, 225, 88, 76, 73, 1361, 1569, 292, 225, 88, 76, 73, 12253, 1909, 16, 9551, 24050, 350, 18, 203, 203, 3591, 568, 203, 5174, 292, 717, 12328, 291, 7271, 396, 57, 18, 55, 18, 1627, 13, 203, 5174, 292, 13749, 35433, 291, 225, 88, 76, 73, 1851, 2198, 203, 203, 1987, 203, 203, 28515, 4686, 203, 22058, 25371, 291, 225, 88, 76, 73, 1851, 2198, 203, 16810, 5850, 203, 825, 88, 76, 17, 4577, 47612, 431, 7271, 396, 57, 18, 55, 18, 1627, 13, 203, 825, 88, 76, 17, 4577, 47612, 292, 1644, 717, 203, 4387, 717, 17728, 292, 6958, 203, 8663, 1847, 1584, 2762, 4540, 291, 225, 88, 76, 73, 1851, 2198, 203, 1893, 26327, 4958, 17, 4387, 717, 203, 1893, 26327, 1644, 13749, 35433, 203, 22934, 13749, 35433, 203, 5013, 17728, 292, 6958, 431, 7271, 396, 57, 18, 55, 18, 1627, 13, 203, 5013, 17728, 292, 6958, 431, 225, 88, 76, 73, 1851, 2198, 4223, 203, 5013, 12328, 431, 7271, 396, 57, 18, 55, 18, 1627, 13, 431, 4180, 5309, 203, 5013, 12328, 326, 6958, 203, 6260, 2284, 366, 19061, 286, 969, 27133, 431, 225, 88, 76, 73, 1851, 2198, 4223, 203, 54, 36123, 49961, 272, 203, 11871, 2198, 5349, 7765, 596, 643, 3696, 17, 14968, 463, 282, 203, 11871, 2198, 5349, 8931, 203, 11871, 2198, 28825, 2, 0, 521, 1851, 6248, 1925, 16229, 385, 279, 5650, 47936, 3163, 17309, 16, 3178, 291, 15556, 431, 225, 88, 76, 73, 20688, 10765, 1461, 22290, 3721, 396, 5228, 3787, 859, 203, 203, 521, 1925, 16229, 34934, 396, 29245, 1740, 225, 88, 76, 73, 689, 30600, 16229, 6, 388, 689, 18515, 6091, 9530, 385, 2513, 2498, 383, 2184, 1958, 18, 10833, 291, 1040, 3508, 385, 33667, 359, 30, 45503, 16, 7103, 16, 9777, 388, 13385, 11694, 18, 7773, 644, 286, 4715, 2701, 9609, 16, 1315, 2764, 290, 21245, 16, 286, 3681, 225, 69, 9767, 18, 1542, 3681, 225, 69, 689, 16951, 1232, 1990, 28696, 6, 554, 644, 286, 3681, 383, 2070, 225, 69, 3410, 291, 2176, 8591, 16, 1315, 2764, 16, 21245, 16, 4860, 290, 225, 69, 3162, 18, 7105, 596, 6449, 882, 307, 922, 225, 88, 76, 73, 10920, 18, 2591, 1463, 596, 4361, 857, 8669, 325, 383, 1204, 286, 949, 225, 88, 76, 73, 16173, 1925, 16229, 396, 29245, 1740, 225, 88, 76, 73, 689, 20138, 16229, 6, 388, 689, 22768, 6091, 9530, 383, 2184, 1124, 18, 203, 203, 521, 1925, 16229, 385, 30621, 819, 225, 88, 76, 73, 421, 6633, 453, 17, 20677, 385, 4974, 291, 15360, 18, 409, 1925, 16229, 568, 13659, 291, 225, 69, 1319, 292, 15435, 3317, 955, 359, 3610, 290, 8157, 383, 1952, 1631, 18, 203, 203, 3591, 568, 203, 1925, 16229, 396, 22210, 13, 203, 1925, 16229, 396, 3532, 5911, 13, 203, 1925, 16229, 396, 43159, 285, 4925, 13, 203, 1925, 16229, 774, 4168, 17474, 30, 33273, 16, 225, 12047, 203, 16173, 1925, 16229, 396, 11871, 6248, 13, 203, 421, 6633, 44047, 9765, 396, 11705, 13, 396, 51, 17, 20677, 13, 203, 421, 6633, 44047, 9765, 396, 11871, 6248, 13, 203, 10870, 3211, 44047, 9765, 396, 36059, 13, 203, 10870, 3211, 453, 17, 20677, 8591, 203, 16229, 292, 20688, 4582, 396, 39, 7084, 13, 203, 16229, 292, 20688, 4582, 396, 11871, 6248, 13, 396, 39, 7084, 13, 203, 4138, 16229, 292, 20688, 4582, 396, 16962, 7084, 873, 573, 6096, 225, 88, 76, 73, 453, 17, 20677, 87, 290, 331, 7084, 203, 3211, 4138, 16229, 292, 20688, 4582, 396, 5474, 39, 7084, 873, 573, 318, 3884, 346, 388, 3043, 292, 453, 17, 20677, 87, 11860, 203, 4138, 16229, 292, 4582, 396, 43, 6633, 873, 573, 17381, 453, 17, 20677, 87, 290, 332, 17, 7285, 87, 203, 203, 1987, 203, 203, 27379, 16912, 291, 225, 88, 76, 73, 1851, 6248, 2, 0, 38333, 6516, 600, 5477, 4254, 9069, 318, 225, 69, 1240, 2364, 10002, 383, 225, 88, 76, 73, 1357, 292, 9023, 284, 10661, 22189, 325, 17954, 18165, 291, 1063, 5911, 18, 2361, 11012, 8451, 9609, 754, 225, 88, 76, 73, 2364, 18, 409, 1507, 560, 73, 18165, 28372, 10245, 6516, 600, 5477, 11782, 423, 15196, 526, 4254, 18, 203, 203, 38333, 6516, 600, 5477, 318, 915, 641, 292, 31998, 2086, 3721, 17897, 1364, 225, 88, 76, 73, 1830, 526, 30552, 22713, 346, 17954, 18165, 4010, 291, 4109, 18, 2952, 17007, 1535, 8694, 16, 10245, 6516, 600, 5477, 385, 225, 88, 76, 73, 5457, 292, 225, 88, 76, 73, 9023, 284, 10661, 2307, 3721, 18, 203, 203, 6355, 203, 521, 1637, 292, 279, 6306, 34946, 283, 7720, 388, 35335, 9513, 318, 383, 453, 77, 82, 24295, 16, 827, 225, 88, 76, 73, 10245, 6516, 600, 5477, 7174, 6606, 1660, 18, 1456, 2228, 1967, 284, 893, 22946, 16, 225, 69, 225, 88, 893, 69, 388, 2391, 2839, 292, 22428, 7720, 2018, 332, 9108, 25098, 49040, 1154, 225, 88, 76, 73, 14012, 3119, 431, 2228, 11798, 406, 284, 9431, 291, 42802, 18, 203, 203, 521, 1565, 292, 225, 88, 76, 73, 2364, 290, 11782, 1822, 423, 225, 88, 76, 73, 17731, 292, 797, 9127, 36701, 17, 7552, 77, 82, 290, 5348, 17, 44000, 10245, 6516, 600, 5477, 16, 596, 2404, 2171, 660, 423, 225, 88, 76, 73, 16093, 273, 17, 38, 682, 7060, 814, 4108, 16, 383, 225, 88, 76, 73, 595, 292, 225, 88, 76, 73, 3395, 9513, 383, 9023, 284, 10661, 291, 225, 88 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 76, 73, 27453, 87, 18, 557, 225, 88, 76, 73, 1737, 7134, 16, 2171, 6300, 10245, 6516, 600, 5477, 4254, 385, 30110, 423, 225, 88, 76, 73, 26632, 3693, 431, 3194, 22344, 16, 1315, 5169, 38179, 12622, 16, 596, 385, 225, 88, 76, 73, 3845, 292, 6130, 4426, 12622, 16, 225, 88, 76, 73, 4383, 15783, 290, 15180, 16261, 16, 1712, 359, 689, 42898, 292, 44602, 273, 410, 6, 819, 522, 2371, 18, 409, 724, 1324, 3171, 87, 643, 5287, 291, 31239, 31, 4087, 3754, 385, 4632, 325, 14611, 18809, 290, 2897, 277, 16, 4794, 286, 2492, 69, 4811, 18, 27724, 23047, 643, 648, 10753, 291, 225, 88, 76, 73, 5407, 16, 596, 44892, 1047, 346, 225, 88, 76, 73, 49066, 23047, 345, 643, 1850, 1552, 18, 1099, 225, 88, 76, 73, 4435, 1702, 385, 15200, 16, 357, 385, 6096, 346, 31217, 18, 409, 724, 6619, 2268, 383, 225, 88, 76, 73, 5900, 292, 225, 88, 76, 73, 4254, 16, 225, 88, 76, 73, 3053, 292, 225, 88, 76, 73, 1552, 2364, 16, 385, 225, 69, 3395, 1010, 1740, 12667, 30644, 16, 596, 5459, 291, 37779, 18, 26206, 23965, 385, 568, 225, 88, 76, 73, 1179, 3754, 16, 359, 761, 359, 5499, 1848, 18, 409, 2897, 82, 14611, 385, 479, 5642, 524, 292, 225, 88, 76, 73, 11782, 431, 9432, 2387, 12259, 18, 332, 1502, 1577, 290, 225, 69, 2233, 643, 2387, 291, 225, 88, 76, 73, 23456, 87, 18, 332, 1240, 1848, 345, 3220, 359, 1119, 3042, 290, 1204, 385, 2387, 431, 1491, 717, 325, 225, 69, 2333, 17, 15066, 7913, 292, 2171, 11558, 431, 5528, 411, 5917, 11993, 1077, 18, 409, 724, 7428, 8268, 2483, 286, 339, 8568, 291, 225, 88, 76, 73, 22461, 87, 290, 29268, 2897, 225, 88, 76, 73, 8807, 292, 225, 88, 76, 73, 2307, 3721, 7459, 290, 225, 88, 76, 73, 3797, 4778, 18, 203, 203, 11900, 225, 88, 76, 73, 10245, 6516, 600, 5477, 7174, 290, 225, 88, 76, 73, 1244, 2347, 643, 14709, 8343, 431, 225, 88, 76, 73, 34356, 345, 10432, 225, 88, 76, 73, 3442, 291, 2987, 290, 3008, 18, 409, 9379, 2994, 292, 225, 88, 76, 73, 4559, 643, 22180, 819, 225, 88, 76, 73, 34356, 16, 225, 88, 76, 73, 6097, 2994, 292, 225, 88, 76, 73, 1848, 643, 29436, 359, 225, 69, 2013, 17, 34593, 9163, 291, 2427, 2855, 18, 409, 1244, 2347, 385, 22180, 291, 2775, 2862, 18, 203, 203, 26673, 203, 38333, 6516, 600, 5477, 318, 4184, 431, 19098, 1063, 5911, 359, 225, 69, 7613, 9513, 16, 290, 6258, 1913, 601, 318, 28385, 346, 609, 19764, 1315, 3395, 7510, 16, 374, 392, 4551, 16, 14067, 526, 4254, 290, 17449, 321, 267, 5961, 359, 225, 88, 76, 73, 18126, 1389, 292, 9023, 284, 10661, 22189, 7, 26673, 18, 1563, 203, 38333, 6516, 600, 5477, 644, 225, 69, 3650, 292, 15285, 383, 225, 88, 76, 73, 2286, 1063, 5911, 10887, 16, 225, 69, 10275, 292, 1872, 717, 31511, 2566, 18, 23, 10827, 1364, 225, 88, 76, 73, 2855, 10887, 16, 290, 279, 2688, 292, 1260, 717, 396, 25, 18, 23, 10827, 1364, 225, 88, 76, 73, 4109, 10887, 18, 1238, 643, 18693, 11689, 18, 1238, 643, 5000, 11746, 290, 19376, 10967, 16, 3267, 225, 69, 2762, 10412, 292, 377, 18, 6834, 11746, 619, 4750, 18, 409, 14729, 2184, 385, 16348, 18, 23, 806, 396, 17364, 1328, 346, 9727, 18, 24, 806, 15865, 873, 346, 1583, 717, 396, 28, 18, 23, 10827, 9453, 811, 1583, 806, 16, 1519, 396, 26, 18, 27, 10827, 9453, 1583, 286, 3843, 16, 14852, 396, 5805, 18, 27, 10827, 9453, 1872, 286, 10528, 16, 290, 18693, 396, 6427, 18, 27, 10827, 9453, 8984, 388, 4438, 18, 203, 203, 23447, 30744, 788, 643, 18979, 18, 23, 9, 3690, 19, 52, 7720, 373, 76, 7720, 16, 685, 18, 23, 9, 34946, 16, 685, 18, 23, 9, 7290, 15372, 16, 377, 18, 27, 9, 7024, 16, 290, 848, 18, 20, 9, 609, 12980, 788, 396, 273, 88, 886, 771, 286, 543, 720, 2313, 9, 1364, 717, 882, 5095, 346, 3080, 12980, 788, 859, 203, 203, 6910, 629, 717, 45359, 286, 3267, 519, 9214, 16, 6049, 18, 20, 9, 644, 786, 9214, 16, 11795, 18, 27, 9, 643, 4570, 290, 377, 18, 27, 9, 644, 609, 23528, 18, 203, 203, 6661, 1059, 383, 2070, 1583, 806, 1367, 16, 10502, 396, 3859, 18, 26, 10827, 717, 644, 225, 69, 15730, 388, 2930, 3658, 16, 290, 3498, 396, 2455, 18, 24, 10827, 717, 644, 786, 7635, 16912, 18, 409, 14729, 4526, 385, 1175, 4309, 16, 18540, 16, 4809, 346, 1175, 6078, 16, 10731, 15865, 18, 409, 7492, 4709, 292, 1059, 383, 2070, 1583, 385, 345, 4099, 396, 5805, 18, 24, 10827, 717, 643, 9343, 1444, 17, 2378, 16, 2357, 396, 2566, 18, 25, 10827, 643, 641, 17, 2378, 16, 290, 1669, 396, 20, 18, 20, 10827, 643, 28075, 18, 203, 203, 13480, 203, 38333, 6516, 600, 5477, 1925, 318, 225, 69, 12330, 4218, 1204, 15639, 326, 806, 377, 286, 1025, 18, 601, 644, 225, 69, 3478, 292, 225, 359, 292, 225, 409, 1204, 385, 3178, 291, 22461, 18, 203, 203, 1987, 203, 203, 46496, 18165, 203, 8997, 49960, 292, 31998, 203, 18844, 3152, 291, 26632, 16, 1063, 5911, 203, 13937, 17, 3532, 5911, 3354, 2, 0, 521, 5218, 49782, 3703, 318, 279, 39638, 8811, 5428, 291, 225, 88, 76, 73, 11187, 28095, 3442, 292, 5201, 3610, 18, 601, 318, 225, 88, 76, 73, 2630, 13128, 5428, 291, 225, 88, 76, 73, 1627, 18, 203, 203, 25500, 203, 521, 5428, 18426, 1689, 10189, 1010, 5180, 291, 225, 88, 76, 73, 39946, 26811, 34872, 15309, 581, 1872, 3059, 7748, 3686, 292, 25541, 18, 409, 5428, 12106, 291, 225, 69, 309, 422, 341, 323, 4519, 11569, 346, 225, 88, 76, 73, 3677, 6836, 11012, 1535, 357, 21183, 225, 88, 76, 73, 11813, 715, 3686, 292, 225, 88, 76, 73, 35738, 2349, 2410, 17, 3149, 18, 409, 5428, 857, 4614, 3620, 17, 5448, 857, 5696, 12407, 225, 88, 76, 73, 3677, 6836, 11012, 1001, 16, 3620, 292, 225, 88, 76, 73, 29823, 2518, 4085, 3409, 18, 35598, 225, 3620, 292, 25541, 16, 225, 88, 76, 73 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 5428, 12106, 754, 225, 88, 76, 73, 225, 5218, 49782, 9835, 16, 279, 1263, 41794, 18, 409, 5428, 4774, 286, 1357, 5696, 12407, 11012, 377, 383, 225, 88, 76, 73, 5218, 49782, 4085, 3409, 9069, 290, 617, 38903, 698, 225, 88, 76, 73, 3550, 9416, 383, 351, 454, 694, 8236, 581, 3303, 3059, 7748, 3686, 17, 5448, 292, 389, 753, 1385, 203, 203, 14715, 5856, 3428, 225, 203, 521, 5428, 318, 1712, 286, 427, 2357, 48791, 345, 1706, 30, 5201, 7900, 16, 40118, 560, 5165, 7900, 16, 781, 628, 303, 9865, 7900, 16, 11192, 880, 7900, 16, 5218, 49782, 3703, 2027, 16, 11427, 71, 30948, 7900, 16, 15353, 2417, 7900, 290, 316, 14788, 316, 14788, 7900, 18, 203, 203, 5733, 27040, 582, 18042, 291, 10858, 798, 292, 803, 48791, 568, 23827, 18, 707, 3776, 17701, 487, 7900, 290, 707, 303, 410, 322, 1428, 7900, 1119, 22968, 282, 290, 4835, 25571, 290, 6681, 17770, 325, 225, 88, 76, 73, 8675, 366, 1473, 11014, 290, 4207, 25541, 9412, 3882, 18, 203, 203, 521, 5428, 12106, 754, 225, 69, 1319, 292, 7428, 1257, 14872, 325, 225, 88, 76, 73, 7641, 641, 292, 709, 3603, 1315, 316, 454, 69, 15191, 16, 351, 1828, 330, 284, 1428, 15191, 16, 30085, 15191, 290, 12148, 23791, 15191, 18, 203, 203, 47516, 433, 225, 203, 521, 5218, 49782, 29390, 433, 1389, 26050, 423, 225, 88, 76, 73, 7445, 1752, 292, 225, 88, 76, 73, 49908, 3489, 41117, 290, 225, 88, 76, 73, 7716, 1752, 292, 225, 88, 76, 73, 8675, 366, 1473, 15309, 1482, 787, 292, 225, 88, 76, 73, 36198, 1133, 225, 88, 76, 73, 797, 18, 409, 11667, 30797, 371, 8772, 292, 32679, 585, 597, 346, 629, 24769, 585, 597, 16, 1613, 1811, 290, 1406, 1731, 23111, 18, 203, 203, 12153, 318, 8702, 383, 39946, 26811, 34872, 8797, 573, 6019, 225, 69, 2914, 5887, 292, 7410, 16, 1318, 13003, 16, 290, 225, 69, 2914, 292, 1025, 16, 46897, 13505, 19, 2996, 371, 8096, 423, 225, 88, 76, 73, 4017, 1257, 326, 787, 291, 225, 88, 76, 73, 2364, 292, 25541, 18, 203, 203, 15642, 49782, 9835, 272, 203, 3591, 568, 5218, 49782, 9835, 272, 203, 521, 1357, 35616, 1389, 292, 5218, 49782, 3703, 318, 5299, 290, 21561, 766, 18, 225, 601, 318, 225, 69, 3053, 827, 5201, 7900, 16, 40118, 560, 5165, 7900, 290, 5218, 49782, 3703, 48542, 18, 203, 203, 521, 5428, 857, 12106, 754, 225, 69, 16349, 7112, 5845, 359, 1856, 359, 21024, 38282, 16, 650, 225, 88, 76, 73, 5428, 4918, 286, 1139, 225, 69, 761, 7112, 5845, 18, 601, 857, 12106, 754, 225, 69, 1319, 292, 14872, 981, 8110, 225, 88, 76, 73, 1362, 89, 34652, 1389, 18, 203, 203, 14581, 1360, 1563, 203, 521, 5465, 292, 225, 88, 76, 73, 5428, 318, 225, 69, 1648, 1362, 89, 34652, 1389, 18, 225, 409, 1362, 1360, 318, 4794, 571, 11125, 1632, 16, 290, 5683, 7021, 359, 225, 69, 1873, 292, 5428, 2183, 18, 225, 409, 33914, 5401, 431, 225, 88, 76, 73, 5428, 318, 20108, 15198, 18, 203, 521, 1362, 1360, 6258, 225, 69, 2914, 4017, 1389, 292, 225, 203, 521, 4889, 292, 225, 88, 76, 73, 1362, 89, 34652, 1389, 318, 959, 527, 292, 6515, 29933, 290, 684, 32625, 24805, 18, 332, 18663, 292, 563, 32520, 1276, 787, 225, 88, 76, 73, 1362, 1360, 359, 13764, 290, 22707, 279, 1389, 292, 1913, 15411, 4750, 15876, 321, 33322, 371, 1712, 286, 12290, 225, 88, 76, 73, 1362, 1360, 18, 203, 203, 6355, 203, 521, 5428, 385, 3249, 291, 25892, 1154, 279, 18029, 431, 225, 88, 76, 73, 30703, 290, 49800, 5485, 5442, 21024, 16, 819, 49908, 3489, 5218, 49782, 16, 31837, 4837, 17, 42106, 292, 2361, 326, 225, 88, 76, 73, 1351, 9577, 18, 203, 203, 521, 3222, 3848, 292, 225, 88, 76, 73, 1389, 345, 225, 88, 76, 73, 5428, 12106, 754, 371, 225, 88, 76, 73, 1345, 78, 570, 14037, 717, 18, 203, 203, 49, 454, 694, 8236, 16, 383, 225, 88, 76, 73, 7984, 991, 292, 225, 88, 76, 73, 5428, 16, 385, 3178, 2922, 286, 28166, 18, 7870, 9993, 4693, 643, 41347, 16, 290, 431, 345, 602, 643, 8227, 581, 1124, 16, 1318, 14535, 18, 203, 203, 27184, 5180, 8236, 16, 940, 2314, 26175, 16, 385, 9370, 291, 26445, 431, 15304, 38953, 596, 5890, 13290, 2192, 8236, 18, 409, 724, 3131, 12473, 385, 8740, 286, 389, 18, 4095, 29279, 291, 19172, 326, 279, 1389, 292, 1913, 203, 203, 37, 225, 6640, 12407, 225, 88, 76, 73, 5428, 1689, 10364, 5180, 385, 8568, 291, 225, 88, 76, 73, 2775, 10754, 87, 286, 1310, 225, 88, 76, 73, 14501, 1950, 18, 203, 203, 24153, 2208, 13496, 203, 521, 5428, 504, 652, 26128, 290, 6624, 359, 225, 69, 1637, 326, 29963, 16, 291, 225, 88, 76, 73, 21024, 38282, 290, 225, 88, 76, 73, 9289, 1323, 38282, 359, 761, 359, 39946, 26811, 34872, 18, 203, 203, 1987, 1563, 6171, 203, 27497, 292, 225, 88, 76, 73, 11187, 28095, 3442, 203, 25529, 10942, 22380, 292, 5201, 3610, 2, 0, 521, 3829, 292, 40679, 38471, 476, 17, 27062, 4855, 18, 384, 318, 225, 69, 16987, 4452, 2353, 2740, 431, 43639, 6920, 291, 11262, 8224, 225, 69, 1648, 14854, 292, 225, 88, 76, 73, 1863, 780, 644, 2740, 325, 633, 724, 2701, 6847, 326, 225, 88, 76, 73, 5694, 345, 385, 449, 1100, 325, 225, 88, 76, 73, 3529, 602, 526, 409, 3829, 292, 40679, 38471, 476, 17, 27062, 18, 203, 203, 18453, 633, 609, 724, 16987, 16, 409, 3829, 292, 40679, 38471, 476, 17, 27062, 4855, 18, 384, 1071, 4051, 797, 6374, 345, 643, 1411, 2740, 325, 654, 2353, 774, 689, 43, 7839, 14369, 11165, 11709, 1605, 828, 2164, 26517, 2995, 573, 385, 1411, 5523, 2740, 16, 290, 689, 4379, 225, 88, 76, 73, 26665, 292, 1832, 8840, 2995, 573, 385, 1349, 325, 225, 88, 76, 73, 689, 45, 2383, 421, 7839, 1397, 225, 69, 8243, 6706, 8240, 6, 2013, 345, 385, 46515, 291, 225, 88, 76, 73, 3261, 383, 225, 88, 76, 73, 595, 18, 203, 203, 13339, 8483, 225, 203, 3001, 6374, 8772, 431, 40679, 38471, 476, 17, 27062, 6337, 827, 10974, 18, 203, 689, 1266 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 526, 1832, 6187, 6, 21, 774, 685, 30, 6181, 203, 689, 2177, 526, 225, 69, 21567, 4366, 1524, 996, 828, 10319, 2339, 6, 25, 774, 384, 30, 4309, 203, 689, 11319, 6736, 10942, 6, 24, 774, 384, 30, 2721, 203, 689, 25346, 286, 225, 69, 1776, 356, 993, 6, 24, 396, 46, 9267, 14869, 13, 774, 685, 30, 2905, 203, 689, 22789, 6, 26, 396, 46684, 2095, 19500, 675, 13, 774, 848, 30, 6257, 203, 689, 15919, 6, 26, 774, 377, 30, 6011, 203, 689, 2177, 411, 1581, 33551, 291, 6350, 6, 21, 774, 832, 30, 7272, 203, 689, 36868, 1397, 6852, 6, 22, 774, 377, 30, 5932, 203, 689, 54, 471, 33952, 622, 6, 1858, 37, 35434, 18641, 65, 24, 396, 27144, 13, 774, 384, 30, 7068, 203, 689, 43, 7839, 14369, 11165, 11709, 1605, 828, 2164, 26517, 6, 28, 774, 377, 30, 5932, 203, 689, 56, 446, 25758, 291, 7271, 6, 25, 774, 685, 30, 5234, 203, 689, 521, 1697, 35893, 6, 24, 774, 384, 30, 5234, 203, 689, 10223, 15507, 6, 26, 774, 384, 30, 7933, 203, 689, 4379, 225, 88, 76, 73, 26665, 292, 1832, 8840, 6, 27, 774, 384, 30, 6181, 203, 689, 24727, 373, 20316, 39135, 497, 6, 24, 396, 44000, 2515, 831, 19, 27144, 13, 774, 685, 30, 5777, 203, 689, 9473, 16, 15597, 3446, 3460, 11496, 6, 22, 774, 384, 30, 2455, 203, 689, 41, 10217, 292, 23391, 6, 21, 774, 384, 30, 825, 203, 689, 38, 16089, 291, 24456, 6, 21, 774, 384, 30, 5234, 203, 689, 2346, 3166, 287, 6, 21, 774, 384, 30, 3475, 203, 689, 12388, 5525, 291, 738, 2894, 6350, 6, 19, 6, 4331, 985, 5915, 2339, 16754, 6, 28, 774, 685, 30, 6731, 203, 689, 15459, 296, 6632, 6, 25, 396, 27144, 13, 774, 384, 30, 2288, 203, 689, 56, 11, 272, 6225, 571, 1661, 264, 6, 9623, 21806, 601, 526, 4903, 326, 828, 286, 2144, 9530, 24, 774, 384, 30, 7264, 203, 689, 521, 32659, 292, 37263, 6, 24, 774, 377, 30, 4457, 203, 689, 521, 4421, 6, 26, 396, 7161, 25962, 13, 774, 685, 30, 3021, 4327, 377, 774, 2952, 601, 526, 1832, 6187, 5, 203, 384, 774, 2952, 3791, 225, 69, 21391, 203, 685, 774, 2952, 6736, 15754, 22285, 290, 22285, 203, 832, 774, 2952, 5606, 954, 17952, 954, 39537, 2984, 203, 848, 774, 2952, 314, 2383, 421, 7839, 1397, 225, 69, 8243, 6706, 8240, 203, 1025, 774, 2952, 49928, 587, 203, 1148, 774, 834, 32921, 325, 2353, 31, 361, 17, 1677, 292, 2013, 689, 45, 2383, 421, 7839, 1397, 225, 69, 8243, 6706, 8240, 6, 203, 1188, 774, 225, 24016, 41843, 203, 203, 1987, 1563, 203, 38, 15517, 38471, 476, 17, 27062, 6847, 203, 26767, 3689, 431, 1589, 33952, 23903, 203, 23154, 5935, 8395, 6847, 203, 58, 33052, 6920, 16987, 6847, 2, 0, 521, 331, 2379, 296, 19888, 388, 331, 2379, 296, 21358, 1812, 318, 225, 69, 1848, 291, 26321, 2086, 16, 291, 7445, 26321, 16, 601, 318, 2558, 383, 225, 88, 76, 73, 10054, 991, 292, 225, 88, 76, 73, 7947, 294, 11, 3268, 7642, 16, 291, 225, 88, 76, 73, 6947, 4574, 45799, 43882, 5127, 292, 225, 88, 76, 73, 1830, 18, 203, 203, 6355, 203, 203, 2091, 225, 69, 1637, 827, 660, 644, 4977, 652, 225, 69, 1848, 5984, 359, 225, 69, 331, 2379, 296, 1080, 88, 17565, 6879, 517, 573, 3579, 18267, 225, 69, 5009, 431, 225, 88, 76, 73, 1565, 292, 1397, 355, 1233, 1812, 3608, 16, 225, 88, 76, 73, 1830, 2891, 286, 13660, 225, 69, 3891, 9168, 1848, 18, 409, 946, 4174, 5292, 291, 22163, 385, 1825, 291, 21386, 431, 18395, 290, 3833, 8337, 1572, 16, 225, 69, 3223, 290, 3198, 962, 18, 409, 6236, 1698, 286, 1651, 698, 225, 88, 76, 73, 28497, 17, 7283, 22543, 1848, 291, 20953, 517, 225, 88, 76, 73, 3131, 37554, 385, 291, 17007, 18, 1507, 225, 88, 76, 73, 2290, 16, 2304, 225, 88, 76, 73, 19939, 16, 318, 225, 69, 390, 694, 2467, 24432, 225, 88, 76, 73, 30344, 292, 225, 88, 76, 73, 1830, 15699, 286, 26321, 2086, 291, 1519, 5601, 18, 203, 203, 521, 1848, 7462, 225, 88, 76, 73, 4368, 292, 8381, 292, 225, 88, 76, 73, 3690, 15738, 290, 11899, 4804, 16, 573, 385, 3178, 291, 26321, 291, 14541, 16, 1535, 11153, 18, 601, 385, 1013, 359, 225, 88, 76, 73, 7706, 292, 1502, 29361, 292, 225, 88, 76, 73, 3696, 1535, 225, 69, 543, 7428, 7706, 882, 339, 1100, 16, 7709, 609, 548, 385, 6653, 383, 225, 88, 76, 73, 17337, 24168, 523, 261, 16, 291, 225, 88, 76, 73, 19888, 2409, 18, 203, 203, 9694, 1920, 290, 1910, 16, 1966, 286, 8753, 17658, 431, 225, 88, 76, 73, 4311, 17, 916, 4707, 16, 225, 88, 76, 73, 331, 2379, 296, 19888, 2154, 225, 88, 76, 73, 2945, 1128, 292, 225, 88, 76, 73, 10991, 292, 42705, 18, 203, 203, 19421, 628, 342, 290, 29990, 203, 829, 4109, 16, 6312, 13363, 290, 10881, 548, 385, 5642, 524, 325, 225, 88, 76, 73, 331, 2379, 296, 291, 1374, 286, 5027, 357, 698, 225, 69, 13729, 290, 6821, 5399, 18, 409, 548, 385, 3500, 291, 2355, 3008, 3047, 449, 770, 26455, 286, 225, 88, 76, 73, 20576, 49899, 290, 225, 88, 76, 73, 393, 30108, 517, 568, 286, 225, 88, 76, 73, 29277, 16, 573, 424, 915, 1577, 14190, 16, 290, 225, 88, 76, 73, 2677, 27702, 16, 915, 225, 88, 76, 73, 8511, 3602, 16, 827, 1560, 5139, 1139, 225, 69, 631, 4975, 5399, 18, 601, 1837, 325, 225, 88, 76, 73, 1565, 331, 2379, 296, 17, 39, 31121, 819, 279, 12665, 1848, 325, 225, 88, 76, 73, 1637, 292, 225, 88, 76, 73, 2677, 44796, 1812, 21358, 1812, 385, 4737, 286, 225, 88, 76, 73, 331, 2379, 296, 431, 1817, 292, 225, 69, 6640, 658, 225, 88, 76, 73, 39545, 6818, 472, 264, 291, 1374, 286, 3919, 225, 88, 76, 73, 331, 2379, 296, 526, 4797, 18, 203, 203, 1987, 203, 203, 21912, 290, 6495, 291, 26321, 2086, 203, 10601, 22543, 25773, 6564, 203, 18606, 15738, 290, 11899, 4804, 203, 20680, 4700, 3500, 291, 20953, 203 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 37689, 291, 26321, 203, 3302, 6288, 14248, 291, 26321, 2, 0, 1200, 318, 225, 69, 1241, 292, 10218, 4848, 290, 717, 596, 427, 15785, 291, 225, 88, 76, 73, 18578, 8040, 5669, 292, 16016, 290, 225, 88, 76, 73, 2349, 480, 5158, 292, 225, 88, 76, 73, 3550, 1627, 292, 34563, 18, 738, 1241, 568, 2626, 3194, 14667, 2664, 419, 16, 14667, 43379, 7218, 16, 14667, 43379, 23849, 16, 290, 609, 1928, 17, 465, 1221, 19057, 293, 596, 427, 15785, 291, 14053, 18578, 8040, 18, 409, 717, 783, 568, 339, 1712, 359, 18578, 8040, 77, 18, 203, 203, 10080, 30255, 290, 3028, 271, 42436, 7628, 70, 465, 203, 24568, 25981, 29205, 347, 16, 4124, 4633, 11229, 93, 790, 291, 225, 88, 76, 73, 16016, 29922, 2446, 203, 995, 6950, 8607, 16, 8544, 22297, 10600, 19025, 431, 1220, 17618, 291, 225, 69, 6417, 1293, 3057, 1581, 3727, 325, 832, 1589, 10708, 18, 203, 1294, 457, 90, 382, 12799, 261, 34139, 45754, 31322, 16, 5400, 23318, 11229, 93, 790, 291, 225, 88, 76, 73, 16016, 29922, 2446, 203, 389, 567, 755, 32023, 466, 36880, 16, 3506, 15649, 16, 6693, 16, 2677, 3506, 3962, 292, 225, 88, 76, 73, 9307, 11361, 366, 11, 11366, 290, 7042, 292, 409, 10061, 30447, 18, 203, 19789, 308, 37480, 389, 16557, 16, 7754, 292, 225, 88, 76, 73, 37915, 579, 2829, 3968, 203, 30874, 267, 1460, 413, 25169, 16, 25981, 2018, 10430, 28021, 2260, 5588, 291, 225, 88, 76, 73, 16016, 29922, 2446, 203, 33612, 263, 361, 28881, 16, 6132, 16451, 290, 4939, 6554, 291, 225, 88, 76, 73, 16016, 29922, 2446, 203, 12781, 4753, 34139, 45754, 31322, 16, 2863, 11229, 93, 790, 291, 225, 88, 76, 73, 36836, 11910, 14664, 292, 225, 88, 76, 73, 2349, 480, 5158, 203, 1254, 7060, 10364, 16, 307, 9155, 290, 9696, 203, 395, 9171, 593, 957, 69, 19069, 37669, 16, 3259, 3993, 15649, 290, 641, 292, 225, 88, 76, 73, 36836, 3162, 3968, 203, 9641, 303, 20705, 16, 3904, 291, 29793, 3757, 13465, 25691, 5399, 811, 625, 306, 29122, 6926, 18, 1563, 319, 2032, 42512, 44949, 3853, 16, 2863, 11229, 93, 790, 291, 225, 88, 76, 73, 36836, 11910, 14664, 292, 225, 88, 76, 73, 2349, 480, 5158, 203, 781, 1811, 37686, 20705, 16, 3009, 4956, 11229, 93, 790, 291, 225, 88, 76, 73, 16016, 29922, 2446, 203, 319, 1742, 299, 5122, 16, 11229, 93, 790, 291, 225, 88, 76, 73, 3550, 10980, 3968, 203, 8375, 5136, 6577, 25169, 16, 1670, 10600, 290, 15649, 203, 2120, 17665, 16195, 284, 9636, 89, 16, 3259, 3993, 15649, 290, 641, 292, 225, 88, 76, 73, 36836, 3162, 3968, 203, 1343, 768, 17665, 11372, 298, 31554, 72, 76, 1384, 16, 3259, 3993, 15649, 290, 641, 292, 225, 88, 76, 73, 36836, 3162, 3968, 203, 203, 6709, 290, 946, 203, 389, 606, 15016, 430, 1485, 16, 1702, 3702, 290, 5103, 203, 23306, 274, 28044, 16, 4115, 292, 225, 88, 76, 73, 4339, 292, 23084, 16016, 16, 9936, 17, 31892, 292, 225, 88, 76, 73, 15435, 3693, 292, 23084, 203, 319, 49734, 351, 13953, 16, 11263, 290, 9295, 6680, 16, 2389, 554, 292, 225, 88, 76, 73, 797, 4576, 25, 42591, 11776, 326, 225, 88, 76, 73, 2862, 5652, 7835, 18, 203, 203, 10106, 290, 1950, 4327, 24568, 8606, 397, 16, 3194, 3468, 11321, 1712, 326, 522, 4712, 689, 8283, 732, 12713, 2656, 203, 12183, 523, 8607, 5432, 16, 7754, 292, 225, 88, 76, 73, 16195, 23306, 274, 14866, 291, 3023, 573, 2154, 225, 69, 11204, 326, 225, 88, 76, 73, 3194, 7024, 1504, 18, 203, 35766, 687, 281, 26323, 333, 351, 13730, 16, 18830, 290, 2677, 4115, 292, 225, 88, 76, 73, 16016, 23443, 366, 3693, 3261, 18, 203, 430, 1918, 8607, 16, 7754, 292, 225, 88, 76, 73, 3194, 27854, 6894, 16, 33948, 3729, 9065, 290, 42345, 3282, 203, 393, 890, 296, 45156, 332, 2121, 28386, 28501, 696, 7754, 292, 225, 88, 76, 73, 1004, 526, 4104, 1928, 17, 33943, 8429, 16, 15264, 2710, 203, 393, 17413, 335, 755, 1942, 76, 1384, 351, 13730, 696, 3729, 1010, 16, 1504, 15649, 290, 11687, 292, 13891, 290, 12385, 35969, 10175, 35632, 3721, 18, 203, 314, 85, 2195, 20705, 453, 13730, 696, 32087, 290, 6176, 292, 45146, 620, 3348, 18, 557, 4109, 16, 458, 2154, 225, 88, 76, 73, 4021, 3194, 14667, 43379, 286, 2443, 325, 225, 88, 76, 73, 3990, 6320, 4117, 5174, 396, 14378, 383, 1319, 848, 2288, 859, 203, 3988, 16944, 25064, 16, 5934, 5662, 472, 290, 12143, 292, 225, 88, 76, 73, 21864, 1485, 81, 546, 3971, 317, 4970, 203, 8121, 1064, 11607, 72, 484, 23306, 299, 16, 7754, 292, 10805, 319, 16, 4372, 292, 38570, 9569, 9125, 3348, 290, 3282, 23748, 18, 203, 24687, 367, 31554, 72, 76, 1384, 696, 3729, 1010, 16, 290, 7754, 290, 795, 17, 30232, 292, 3023, 26885, 18, 557, 2730, 16, 225, 88, 76, 73, 1250, 385, 6081, 225, 69, 7296, 526, 4385, 326, 14390, 326, 3211, 10964, 291, 7670, 292, 709, 2688, 291, 3019, 18, 203, 8799, 416, 355, 20705, 774, 32087, 596, 2154, 225, 88, 76, 73, 724, 14667, 43379, 43450, 383, 225, 88, 76, 73, 2184, 292, 3538, 1966, 286, 41836, 291, 10499, 16, 2321, 16, 225, 69, 6017, 292, 6469, 346, 225, 88, 76, 73, 18355, 11408, 1275, 16, 9730, 290, 2646, 1750, 18, 203, 22926, 570, 8607, 696, 12834, 472, 16, 18258, 5934, 17, 13470, 350, 16, 5650, 472, 16, 40397, 290, 31947, 203, 16195, 24568, 14490, 333, 1383, 883, 448, 16, 724, 18578, 8040, 77, 286, 1227, 225, 69, 5009, 291, 225, 88, 76, 73, 1851, 6248, 203, 13330, 355, 46021, 774, 17967, 292, 2068, 19122, 396, 12823, 13, 203, 2120, 282, 20705, 774, 35816, 325, 9817, 4418, 4239, 6831, 409, 34391, 525, 203, 2120, 282, 1383, 457, 10248, 24017, 319, 2311, 284, 16, 7754, 292, 351, 3186, 90, 570, 26398, 203, 33078, 19973, 1010, 689, 46386, 6, 351, 13953, 351, 13730, 696, 34272, 10636, 290, 3468, 11321, 18, 557, 8338, 16, 458, 5141, 225, 88, 76, 73, 3550, 15768, 292, 225, 88, 76, 73, 4575, 14912, 18, 203, 374, 5909, 16633, 284, 528, 4616, 77, 82, 351, 13730, 696, 32087, 16, 3468, 11321, 16 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1504, 4467, 290, 11687, 292, 225, 88, 76, 73, 16016, 17, 12808, 10991, 292, 13724, 18, 203, 203, 13480, 290, 15193, 4327, 47702, 362, 9331, 3673, 351, 13730, 16, 23318, 383, 47683, 87, 16, 1495, 292, 3023, 16, 5103, 203, 19006, 15848, 44949, 6315, 16, 7458, 292, 19292, 383, 225, 88, 76, 73, 1495, 292, 38242, 47601, 383, 225, 88, 76, 73, 23245, 292, 225, 88, 76, 73, 16016, 29922, 2446, 431, 225, 88, 76, 73, 9061, 5349, 18, 203, 556, 351, 21835, 284, 362, 7886, 16, 11312, 292, 225, 88, 76, 73, 3550, 4339, 292, 4343, 19163, 807, 322, 203, 24687, 367, 358, 17, 22320, 6950, 16, 289, 27904, 7312, 203, 351, 18, 332, 18, 26323, 333, 16, 225, 724, 9464, 17, 354, 752, 24495, 292, 16016, 1495, 292, 7436, 290, 5852, 203, 33078, 1456, 2583, 6129, 355, 16, 47801, 290, 7563, 9464, 25060, 292, 225, 88, 76, 73, 1495, 292, 9318, 37340, 203, 8799, 24494, 1343, 38887, 314, 85, 2195, 16, 35205, 16, 5103, 290, 33184, 203, 40113, 3662, 31554, 72, 76, 1384, 16, 7754, 292, 225, 88, 76, 73, 5134, 290, 25786, 7625, 4932, 291, 225, 88, 76, 73, 1495, 292, 38242, 16, 25559, 286, 4547, 28263, 5425, 292, 16016, 203, 39012, 362, 7886, 38966, 333, 16, 2677, 4582, 5604, 292, 16016, 203, 39012, 31386, 33103, 13249, 11536, 37825, 410, 16, 1357, 292, 24012, 47765, 2601, 11738, 383, 225, 88, 76, 73, 29685, 12342, 6984, 396, 40, 76, 6471, 13, 203, 13817, 1010, 902, 34139, 45754, 31322, 27626, 4568, 24697, 391, 16, 7682, 383, 21359, 1495, 203, 2407, 38609, 2927, 293, 16, 39081, 4038, 7682, 383, 1466, 4990, 1730, 1495, 203, 22926, 570, 8607, 16, 7754, 292, 26745, 1495, 16, 23306, 274, 12609, 22926, 570, 17, 35898, 471, 69, 6424, 3049, 290, 225, 88, 76, 73, 1495, 292, 6266, 7290, 203, 12699, 86, 37686, 20705, 31554, 72, 76, 1384, 16, 35205, 290, 9936, 17, 354, 752, 24495, 292, 16195, 49451, 274, 1495, 292, 4860, 290, 5852, 290, 18578, 8040, 3211, 1495, 203, 34128, 30588, 44949, 34139, 45754, 578, 4568, 16, 2401, 1693, 38848, 290, 3962, 292, 46111, 4339, 16, 30287, 203, 781, 27010, 20705, 16, 17053, 290, 10821, 203, 14470, 29431, 89, 389, 17835, 14490, 410, 35883, 16, 35205, 290, 6752, 2260, 292, 225, 88, 76, 73, 3550, 4339, 292, 5852, 44602, 356, 9484, 203, 3574, 2829, 45593, 25169, 16, 7754, 9784, 292, 39369, 2090, 6424, 3049, 203, 2120, 282, 1524, 94, 5468, 362, 7886, 16, 6474, 16, 5103, 16, 2677, 7682, 292, 38242, 1495, 203, 203, 9937, 4534, 816, 292, 16016, 203, 24568, 37963, 16, 46705, 396, 86, 35655, 16792, 7754, 292, 2090, 8840, 5031, 203, 389, 20297, 33078, 9559, 86, 501, 16, 4726, 16, 2411, 16, 9696, 203, 478, 6080, 322, 1043, 4197, 755, 1942, 76, 1384, 16, 9936, 17, 354, 752, 24495, 292, 1495, 292, 6266, 7290, 16, 25559, 286, 4547, 28263, 5425, 292, 16016, 203, 35269, 274, 274, 5122, 16, 4124, 4633, 290, 5103, 203, 16195, 4880, 48934, 367, 16, 10269, 17732, 666, 290, 43018, 7312, 203, 203, 20782, 1131, 4327, 2790, 362, 7056, 274, 24568, 8799, 76, 338, 16, 2677, 10637, 5604, 292, 16016, 203, 361, 18, 361, 18, 34139, 45754, 31322, 16, 7682, 290, 4136, 292, 225, 88, 76, 73, 4339, 292, 12117, 17061, 291, 12023, 203, 28200, 6729, 1082, 37686, 16, 1148, 88, 76, 9049, 292, 16016, 5202, 16, 7754, 292, 3551, 2699, 1495, 203, 351, 417, 763, 389, 17835, 755, 1618, 7551, 77, 16, 16352, 29561, 16, 5267, 290, 7682, 292, 225, 88, 76, 73, 12023, 1925, 292, 15753, 203, 25024, 35607, 40364, 16, 13128, 5050, 10637, 5604, 292, 16016, 290, 225, 69, 4467, 292, 361, 24242, 203, 16195, 332, 351, 319, 556, 570, 7654, 16, 29561, 16, 31578, 290, 2677, 6678, 13324, 292, 225, 88, 76, 73, 1851, 10001, 11, 47707, 3864, 203, 1236, 5175, 1211, 69, 361, 10643, 88, 755, 1618, 7551, 77, 16, 832, 88, 76, 9049, 292, 16016, 5202, 203, 203, 36395, 4327, 1283, 13315, 6729, 89, 3673, 16, 7063, 16, 23748, 16, 2609, 290, 42491, 15981, 203, 1340, 87, 593, 9559, 317, 16, 7944, 910, 1712, 326, 225, 88, 76, 73, 2450, 292, 13817, 3662, 3405, 299, 291, 9560, 18768, 203, 8607, 16195, 31169, 16, 22540, 290, 4239, 23748, 203, 9559, 355, 16, 7063, 910, 1712, 326, 225, 88, 76, 73, 2450, 292, 19828, 355, 8194, 1485, 1021, 291, 24772, 3507, 203, 39825, 76, 1082, 755, 32023, 349, 422, 93, 16, 8681, 7358, 290, 7063, 203, 331, 18, 361, 18, 1343, 12207, 16, 1782, 3962, 16, 7063, 16, 290, 2609, 203, 6792, 274, 11372, 16, 1782, 7063, 290, 7203, 203, 1498, 10109, 13692, 322, 17, 49218, 1010, 16, 1782, 3962, 16, 7063, 290, 31862, 203, 9697, 4400, 755, 1942, 76, 1384, 16, 8681, 7358, 290, 3702, 203, 25766, 299, 47878, 1021, 11372, 16, 1782, 290, 3282, 7063, 203, 1104, 34195, 31554, 72, 76, 1384, 16, 225, 69, 14273, 36765, 22203, 291, 225, 88, 76, 73, 1851, 2198, 203, 428, 8978, 4568, 46021, 16, 33184, 16, 10636, 16, 2411, 290, 3282, 7358, 910, 1712, 326, 4499, 225, 88, 76, 73, 10018, 4174, 409, 3677, 3194, 28426, 2619, 203, 35016, 261, 11879, 3853, 16, 29027, 16, 3962, 290, 11303, 2260, 292, 33409, 10411, 426, 203, 32118, 593, 19657, 77, 16, 1782, 3962, 290, 31862, 203, 395, 13472, 362, 47702, 16, 1782, 3962, 203, 47147, 16195, 16, 1782, 7063, 203, 781, 897, 5909, 31554, 72, 76, 1384, 16, 7944, 910, 1712, 326, 225, 88, 76, 73, 2450, 292, 2407, 90, 3451, 3405, 299, 291, 9560, 18768, 203, 203, 49069, 203, 2790, 36606, 3451, 1201, 16, 28771, 1890, 43379, 1201, 596, 644, 489, 356, 12959, 291, 18578, 8040, 203, 351, 2583, 4594, 1201, 292, 478, 9433, 351, 13953, 16, 32721, 75, 324, 16, 18578, 8040, 2364, 203, 18393, 410, 72, 1239, 292, 18578, 8040, 16, 39914, 10634, 290, 1383, 261, 1828, 8332, 292, 361, 9071, 4753, 19, 43, 682, 89, 284, 19, 49, 890, 410, 72, 2829, 16, 18578, 8040, 203, 3853, 1201, 16, 225, 69, 2677, 14209, 1201, 292, 37162, 10643, 5165, 16, 25793, 570, 26398, 203, 39914, 10634, 292, 1890, 338, 355, 6243, 69, 16, 5141, 431, 20355, 448, 41299 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 267, 1498, 18507, 28099, 203, 319, 340, 44206, 410, 16, 35723, 1947, 292, 16195, 23306, 274, 526, 24470, 75, 1021, 3255, 16, 5141, 431, 378, 21016, 39550, 1717, 203, 31509, 695, 1239, 292, 556, 3166, 324, 77, 16, 5141, 431, 16195, 23306, 274, 526, 12502, 16, 16195, 9925, 355, 513, 17, 13540, 82, 203, 203, 25547, 1486, 203, 19268, 501, 15427, 392, 16, 377, 334, 7042, 17, 77, 82, 17, 21066, 292, 9061, 526, 9379, 16, 3173, 290, 745, 7303, 987, 2764, 17, 11345, 8450, 16, 19618, 290, 2677, 10264, 5604, 292, 9061, 203, 10198, 2192, 9757, 88, 890, 16, 2677, 2274, 6666, 326, 225, 88, 76, 73, 11582, 292, 3023, 203, 33030, 16195, 417, 284, 16, 11430, 203, 44300, 421, 3166, 16, 5012, 2260, 292, 225, 88, 76, 73, 16016, 6610, 49024, 3693, 203, 46136, 7983, 46021, 16, 3282, 23748, 16, 40397, 16, 21073, 4902, 10600, 16, 21827, 1896, 290, 2677, 6176, 292, 7337, 15454, 7779, 203, 46136, 91, 2571, 45156, 16, 8385, 16, 17431, 292, 225, 88, 76, 73, 8088, 290, 6651, 292, 225, 88, 76, 73, 34186, 11827, 10304, 290, 46666, 351, 2985, 597, 328, 4385, 203, 4342, 1021, 755, 1942, 76, 1384, 16, 7042, 292, 18301, 44326, 203, 28467, 355, 31554, 72, 76, 1384, 16, 3282, 290, 3031, 11430, 326, 995, 478, 6945, 7354, 2764, 203, 7661, 1286, 362, 378, 1441, 392, 11372, 16, 7042, 292, 9061, 6320, 290, 225, 88, 76, 73, 7942, 3888, 9375, 18, 203, 2120, 282, 33078, 8607, 16, 7754, 292, 409, 10061, 4790, 774, 225, 88, 76, 73, 4104, 31815, 3225, 2764, 17, 11345, 8450, 291, 16016, 18, 1563, 2120, 282, 38966, 287, 48839, 16, 11430, 290, 7042, 292, 2011, 298, 329, 290, 27854, 4277, 203, 203, 24876, 203, 24568, 6749, 5305, 42008, 16, 8128, 290, 9696, 203, 13969, 11566, 9023, 76, 4880, 85, 755, 1942, 76, 1384, 16, 724, 8784, 383, 225, 88, 76, 73, 3194, 2720, 4368, 292, 8381, 203, 32374, 11372, 16, 14157, 8312, 4138, 292, 1898, 36194, 3211, 16, 4136, 17, 9813, 292, 225, 88, 76, 73, 3211, 4691, 3569, 12228, 203, 48934, 367, 31785, 82, 2895, 16, 8259, 290, 724, 1928, 17, 13417, 286, 339, 6413, 286, 225, 88, 76, 73, 5595, 3569, 2349, 3693, 5143, 18, 557, 4109, 16, 780, 385, 6568, 359, 225, 69, 2511, 4072, 292, 225, 88, 76, 73, 13932, 16, 573, 959, 633, 225, 88, 76, 73, 770, 982, 292, 14667, 43379, 6489, 291, 225, 69, 5012, 21648, 2067, 18, 203, 781, 8332, 333, 8607, 16, 12252, 203, 203, 46701, 4327, 13692, 322, 14371, 74, 755, 1942, 76, 1384, 16, 5103, 203, 332, 2121, 755, 1618, 76, 1384, 16, 14667, 43379, 17, 16745, 12508, 472, 290, 4038, 5103, 203, 12576, 93, 327, 2781, 261, 755, 1942, 76, 1384, 16, 5103, 290, 15648, 203, 957, 78, 410, 387, 8607, 16, 724, 36836, 8784, 25679, 203, 46420, 21227, 755, 5165, 16, 6132, 16451, 16, 1670, 10600, 16, 5103, 290, 7042, 292, 225, 88, 76, 73, 319, 3746, 480, 203, 1099, 3487, 281, 8607, 16, 5103, 290, 16048, 292, 18578, 8040, 77, 9906, 8049, 203, 1099, 606, 501, 46021, 16, 6432, 16, 5103, 16, 16048, 292, 9906, 8049, 203, 31554, 72, 76, 1384, 24870, 321, 9023, 7283, 16, 5103, 290, 19654, 292, 36836, 9906, 8049, 326, 225, 88, 76, 73, 7662, 4880, 5029, 203, 27526, 7467, 11372, 16, 6432, 1712, 359, 15355, 2035, 308, 341, 556, 27196, 396, 20804, 311, 292, 225, 88, 76, 73, 2885, 717, 13, 203, 389, 4386, 43739, 29380, 16, 49765, 290, 4038, 5103, 203, 19789, 308, 37480, 389, 16557, 16, 9906, 4529, 472, 203, 378, 998, 34130, 16, 1072, 334, 3813, 290, 5103, 292, 30238, 3943, 203, 33463, 8607, 16633, 50039, 16, 6432, 16, 12312, 17279, 290, 15649, 203, 44655, 37024, 16, 43028, 6432, 290, 15649, 203, 8799, 1211, 77, 39012, 367, 637, 69, 48934, 367, 16, 5103, 16, 5267, 16, 290, 50067, 203, 19898, 42079, 80, 410, 11372, 16, 1928, 17, 15534, 5103, 910, 1712, 326, 409, 8784, 2313, 203, 19898, 39012, 362, 9773, 3673, 16, 5068, 15649, 16, 1670, 10600, 290, 5103, 203, 319, 719, 85, 8607, 16, 5103, 16, 6432, 290, 8259, 910, 1712, 326, 225, 88, 76, 73, 9925, 267, 17, 367, 17, 50, 4158, 1353, 448, 203, 16195, 3742, 40364, 16, 2411, 290, 14387, 203, 2120, 282, 8799, 78, 6950, 69, 8607, 16, 2411, 16, 11430, 16, 2321, 23368, 16, 4124, 4633, 16, 17279, 290, 18045, 472, 18, 203, 2120, 282, 351, 3809, 9717, 8607, 16, 5103, 290, 15648, 203, 2120, 282, 27614, 8194, 1485, 1021, 16, 20525, 17, 11345, 5103, 203, 2120, 282, 7791, 593, 513, 17, 13540, 82, 16, 9858, 20525, 17, 11345, 5103, 203, 2120, 282, 16195, 1498, 35309, 16, 3285, 286, 339, 18578, 8040, 526, 724, 2411, 203, 2120, 282, 23290, 16, 3972, 225, 88, 76, 73, 724, 23294, 3401, 19284, 291, 36836, 291, 1958, 88, 76, 3503, 203, 203, 19207, 203, 1294, 7467, 362, 351, 1377, 16, 2639, 6666, 28174, 1946, 88, 76, 17832, 5669, 203, 1099, 5305, 528, 4616, 77, 82, 16, 1864, 2639, 290, 20193, 286, 28912, 290, 30210, 203, 45156, 34956, 76, 457, 31554, 72, 76, 1384, 16, 1814, 88, 76, 6208, 292, 5349, 9718, 292, 225, 88, 76, 73, 16016, 5349, 203, 44655, 6729, 89, 3673, 31554, 72, 76, 1384, 16, 9281, 17, 77, 82, 17, 21066, 292, 225, 88, 76, 73, 16016, 5349, 203, 7662, 349, 347, 351, 18, 332, 18, 421, 18, 8298, 30007, 16, 9447, 16365, 292, 225, 88, 76, 73, 25981, 2018, 10430, 28021, 203, 8121, 45570, 8607, 11372, 16, 16016, 8220, 7611, 47843, 290, 225, 88, 76, 73, 6208, 292, 16694, 9718, 203, 8121, 33842, 322, 40364, 14490, 410, 35883, 16, 16016, 5349, 21018, 29481, 16, 12989, 225, 88, 76, 73, 745, 5012, 12980, 36836, 291, 225, 88, 76, 73, 9061, 5349, 203, 33078, 13692, 322, 12893, 16, 377, 334, 6208, 292, 5349, 9718, 292, 225, 88, 76, 73, 16016, 5349, 16, 9198, 2639, 1154, 225, 88, 76, 73, 16016, 29922, 2446, 203, 19898, 16954, 44256, 46300, 349, 16, 16016, 526, 1361, 6208, 292, 3062, 9718, 203, 39012, 362, 10686, 85, 16, 1361, 8958, 6715, 292, 16016, 8220, 203, 8706, 5625, 14235, 292, 421 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 467, 16, 11145, 1584, 225, 88, 76, 73, 16824, 1154, 225, 88, 76, 73, 1429, 8340, 292, 18578, 8040, 203, 2120, 282, 33078, 1343, 567, 362, 9773, 3673, 16, 16016, 5349, 6666, 290, 41912, 1829, 203, 2120, 282, 21506, 347, 37686, 696, 46395, 1021, 4342, 284, 292, 781, 1811, 37686, 2813, 306, 94, 16195, 203, 203, 8830, 5768, 87, 290, 28374, 203, 6292, 263, 3034, 1241, 292, 5488, 30, 203, 19980, 27960, 91, 1286, 19006, 454, 593, 16, 452, 88, 76, 6199, 292, 225, 88, 76, 73, 421, 467, 6248, 203, 4682, 261, 32118, 16, 3752, 45489, 8953, 292, 421, 467, 203, 30718, 13852, 16, 4223, 2639, 290, 1700, 17, 80, 9084, 8953, 292, 23255, 81, 42523, 811, 19006, 454, 593, 203, 17325, 514, 90, 32118, 16, 11970, 292, 23255, 81, 42523, 396, 87, 4231, 18578, 8040, 13, 811, 14440, 7054, 6248, 203, 421, 467, 19006, 15848, 16, 2243, 6199, 292, 225, 88, 76, 73, 421, 467, 6248, 16, 9561, 291, 225, 88, 76, 73, 1429, 8340, 292, 18578, 8040, 203, 40503, 32118, 16, 2243, 8953, 292, 421, 467, 203, 27014, 47309, 11372, 16954, 18058, 16, 724, 268, 890, 347, 292, 11237, 324, 203, 9233, 35883, 16954, 18058, 16, 1361, 268, 890, 347, 292, 11237, 324, 203, 8799, 85, 10036, 11372, 16, 268, 890, 347, 292, 11237, 324, 291, 2116, 3475, 203, 556, 7551, 1485, 333, 11372, 16, 8953, 292, 11237, 324, 16, 8568, 4129, 46483, 203, 14490, 25023, 37024, 16, 294, 506, 322, 292, 11237, 324, 16, 8568, 4129, 46483, 203, 5839, 7467, 11372, 16, 39914, 349, 292, 18578, 8040, 819, 49749, 7402, 11372, 203, 7880, 11372, 16, 39914, 349, 290, 1383, 261, 1828, 8332, 292, 18578, 8040, 203, 4254, 890, 333, 292, 18578, 8040, 16, 2349, 83, 17, 38, 9309, 5853, 11507, 6715, 876, 596, 13785, 658, 2217, 18578, 8040, 203, 19898, 3024, 77, 16, 1524, 36112, 31428, 203, 9697, 91, 17253, 2812, 1010, 16, 2349, 83, 17, 38, 9309, 5853, 11507, 6715, 876, 596, 13785, 658, 2027, 18578, 8040, 203, 351, 523, 284, 553, 11372, 16, 43055, 274, 266, 454, 284, 292, 18578, 8040, 16, 11145, 1584, 798, 2349, 83, 17, 38, 45082, 5853, 6715, 28559, 203, 25981, 1971, 321, 11372, 16, 43055, 274, 266, 454, 284, 292, 18578, 8040, 596, 703, 1708, 1620, 5081, 1021, 35883, 292, 19057, 203, 7880, 480, 21835, 317, 322, 23306, 726, 16, 43055, 274, 266, 454, 284, 292, 18578, 8040, 203, 23659, 328, 1010, 9636, 1239, 77, 16, 43055, 274, 795, 17, 87, 454, 284, 292, 18578, 8040, 16, 23560, 658, 7445, 2994, 292, 18578, 8040, 203, 34285, 746, 10109, 19201, 18058, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 423, 1958, 7096, 286, 1958, 5210, 203, 1498, 74, 14037, 38728, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 2120, 282, 33463, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 2011, 19898, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 8121, 501, 1181, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 6729, 16357, 11372, 16, 745, 761, 17, 4873, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 319, 719, 85, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 557, 328, 311, 24017, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 290, 7754, 292, 557, 267, 880, 78, 203, 19657, 77, 24017, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 28044, 14490, 333, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 37013, 19201, 18058, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 290, 28141, 15672, 203, 5358, 26113, 16, 832, 88, 76, 32660, 290, 377, 334, 19654, 292, 18578, 8040, 423, 1946, 7928, 286, 44155, 203, 27715, 284, 11372, 16, 1172, 278, 893, 78, 35883, 292, 18578, 8040, 203, 203, 11780, 290, 4770, 203, 995, 2156, 40364, 16, 6693, 290, 1452, 4726, 203, 332, 24137, 9697, 328, 45398, 16, 18220, 290, 37809, 203, 34710, 285, 30000, 25169, 16, 9906, 6693, 290, 11394, 203, 1466, 1571, 43304, 319, 9431, 16, 28760, 6693, 203, 421, 9283, 755, 1942, 76, 1384, 16, 1452, 4726, 203, 11192, 10128, 47687, 34139, 45754, 31322, 16, 9906, 6693, 203, 24818, 6333, 39324, 16, 6693, 16, 7203, 290, 23467, 472, 203, 5261, 7402, 12207, 389, 327, 4395, 16, 23467, 472, 290, 11394, 292, 9906, 290, 3222, 294, 3032, 552, 203, 7902, 21283, 382, 25169, 16, 9850, 290, 9906, 10711, 203, 395, 2014, 593, 2895, 2962, 77, 16, 6693, 290, 7944, 203, 8309, 69, 411, 552, 69, 16, 28760, 6693, 203, 3024, 27850, 70, 31554, 72, 76, 1384, 16, 6693, 290, 11430, 203, 16195, 24568, 6129, 355, 16, 1072, 334, 3813, 290, 9906, 19949, 203, 35514, 4880, 4342, 1600, 16, 6693, 290, 17135, 1795, 2946, 203, 781, 1742, 2512, 25169, 16, 9906, 10711, 203, 781, 10841, 306, 6315, 16, 225, 28760, 6693, 203, 5081, 347, 428, 14037, 16, 28760, 6693, 203, 361, 7839, 8453, 3070, 1007, 16, 28760, 6693, 203, 203, 29661, 290, 2151, 203, 203, 30745, 80, 10652, 4327, 13692, 308, 16195, 333, 16, 2677, 6715, 25907, 326, 16016, 14251, 2119, 3556, 203, 957, 1923, 9773, 3673, 755, 1942, 76, 1384, 16, 11582, 292, 18578, 8040, 203, 8194, 284, 528, 4616, 77, 82, 20705, 12781, 9497, 16, 2677, 11582, 292, 18578, 8040, 203, 331, 18, 351, 18, 781, 27010, 46602, 16, 2677, 14667, 43379, 31578, 203, 46180, 553, 20705, 18393, 410, 1007, 16, 12143, 292, 16016, 3537, 34864, 4668, 16, 8155, 5909, 5202, 4119, 292, 13344, 290, 7754, 292, 13517, 11337, 203, 14301, 328, 367, 26323, 333, 755, 1942, 76, 1384, 16, 2677, 8863, 292, 225, 88, 76, 73, 478, 3451, 4568, 23784, 87, 317, 16, 12405, 334, 3296, 292, 225, 88, 76, 73, 6826, 4138, 8793, 203, 314, 487, 287, 8607, 16, 48309, 8312, 292, 225, 88, 76, 73, 16016, 2090, 4771, 203, 351, 1807, 69, 528, 4616, 77, 82, 31554, 72, 76, 1384, 395, 4802, 16, 9936, 17, 31892, 292, 16016, 2090, 472, 4771, 17, 14464, 321, 880, 78, 203, 781, 27010, 85, 322, 40364, 16, 40853, 292, 16016, 16209, 267, 17, 73, 17, 3987, 80 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 2119, 203, 2120, 282, 8799, 4906, 353, 8607, 16, 5193, 1310, 6666, 16, 864, 27717, 290, 2269, 31578, 203, 203, 20166, 2864, 810, 203, 478, 18, 395, 18, 29037, 588, 347, 15427, 392, 16, 2116, 88, 76, 6208, 8381, 292, 16016, 203, 8121, 33842, 362, 47702, 755, 1942, 76, 1384, 16, 1814, 88, 76, 6208, 8381, 292, 16016, 203, 11907, 42512, 21227, 13597, 3192, 16, 2967, 334, 6208, 8381, 292, 16016, 203, 2120, 282, 332, 18, 361, 18, 8121, 33842, 378, 1441, 392, 16, 384, 348, 6208, 8381, 292, 16016, 203, 203, 14100, 203, 24568, 378, 512, 353, 31554, 72, 76, 1384, 16, 3551, 9061, 23744, 7496, 290, 2090, 8793, 203, 24568, 14490, 333, 11372, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 22, 1563, 24568, 351, 5391, 16, 2677, 7593, 326, 351, 3186, 90, 570, 26398, 17, 22, 203, 24568, 10518, 355, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 21, 203, 24568, 8799, 85, 285, 11372, 16, 2677, 7593, 326, 18578, 8040, 17, 23, 203, 24568, 31377, 7283, 16, 2677, 7593, 326, 225, 88, 76, 73, 2369, 334, 6363, 18578, 8040, 17, 2721, 20383, 1563, 24568, 1383, 1021, 347, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 18578, 8040, 17, 25, 203, 13692, 322, 11798, 2385, 16, 3551, 9061, 23744, 7496, 290, 2090, 8793, 203, 13692, 322, 19828, 355, 16, 2677, 7593, 326, 18578, 8040, 17, 26, 203, 17488, 3523, 293, 46538, 18, 351, 36791, 82, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 23, 203, 17488, 47229, 347, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 23, 203, 2790, 362, 10198, 17153, 46538, 18, 24568, 21931, 16, 2677, 2260, 292, 225, 88, 76, 73, 478, 3451, 4568, 23784, 87, 317, 203, 23811, 49, 47226, 579, 528, 4616, 77, 82, 16, 2677, 7593, 326, 18578, 8040, 17, 26, 203, 1898, 73, 4944, 37825, 410, 781, 27010, 85, 16, 4956, 290, 16209, 267, 17, 73, 17, 3987, 80, 2119, 9696, 203, 2349, 367, 10364, 16, 2677, 7593, 326, 4857, 321, 880, 78, 17, 21, 203, 389, 20297, 6729, 333, 421, 18058, 16, 2677, 4467, 292, 15512, 5327, 78, 17, 21, 203, 389, 639, 284, 378, 1441, 392, 12767, 355, 16, 2677, 7593, 326, 18578, 8040, 17, 24, 203, 430, 1918, 362, 9773, 3673, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 18578, 8040, 17, 22, 203, 13249, 11536, 31554, 72, 76, 1384, 2407, 89, 16, 361, 24242, 9696, 203, 421, 18058, 33078, 21627, 809, 560, 890, 16, 7593, 326, 15512, 5327, 78, 17, 21, 203, 24870, 34250, 20705, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 4857, 321, 880, 78, 17, 23, 203, 11222, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 18578, 8040, 17, 25, 203, 1498, 16951, 20705, 31554, 72, 76, 1384, 16, 7593, 326, 15512, 5327, 78, 17, 21, 203, 11967, 69, 50138, 31456, 16, 9696, 290, 4956, 203, 25766, 299, 322, 40364, 31554, 72, 76, 1384, 16, 7593, 326, 15512, 5327, 78, 17, 21, 203, 556, 5920, 3417, 24568, 37963, 16, 2677, 7593, 326, 18578, 8040, 17, 21, 203, 34285, 35607, 40364, 16, 2677, 7593, 326, 18578, 8040, 17, 26, 203, 8121, 33842, 2812, 4532, 317, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 18578, 8040, 17, 23, 203, 8121, 45570, 8607, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 24, 203, 7056, 85, 538, 391, 20315, 425, 9559, 553, 41925, 16, 2677, 7593, 326, 18578, 8040, 17, 22, 203, 26596, 21627, 6990, 16, 2677, 7593, 326, 351, 3186, 90, 570, 26398, 17, 22, 1563, 2610, 4906, 353, 378, 1441, 392, 16605, 261, 16, 2677, 7593, 326, 4857, 321, 880, 78, 17, 21, 203, 43393, 8374, 347, 11372, 16, 7593, 326, 18578, 8040, 17, 22, 203, 2610, 2748, 322, 40364, 1524, 1365, 16, 2677, 7593, 326, 4857, 321, 880, 78, 17, 25, 203, 3531, 28293, 8607, 16, 2260, 292, 225, 88, 76, 73, 16016, 43002, 300, 8793, 290, 2677, 9049, 292, 15512, 5327, 78, 203, 40113, 81, 362, 45156, 47229, 282, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 22, 203, 428, 5916, 40364, 16, 2677, 7593, 326, 351, 3186, 90, 570, 26398, 17, 23, 290, 12143, 292, 225, 88, 76, 73, 25024, 35607, 40364, 5031, 203, 39914, 349, 8607, 38070, 11372, 16, 478, 3451, 4568, 4771, 9696, 290, 1220, 17, 2378, 7593, 326, 351, 3186, 90, 570, 26398, 17, 22, 203, 11408, 355, 12781, 9497, 755, 1942, 76, 1384, 16, 2677, 7593, 203, 27614, 393, 890, 80, 322, 40364, 16, 2677, 7593, 326, 4857, 321, 880, 78, 17, 24, 203, 4342, 355, 528, 4616, 77, 82, 16, 2677, 7593, 326, 18578, 8040, 17, 25, 203, 781, 27010, 20705, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 18578, 8040, 17, 23, 203, 16195, 9559, 553, 322, 40364, 16, 2677, 7593, 326, 18578, 8040, 17, 22, 203, 16931, 501, 528, 4616, 77, 82, 556, 5136, 46898, 16, 2677, 7593, 326, 18578, 8040, 17, 26, 203, 32721, 8375, 78, 267, 30224, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 21, 1563, 23290, 33078, 16708, 322, 20705, 16, 2260, 292, 478, 3451, 4568, 23784, 87, 317, 290, 4977, 9936, 17, 31892, 292, 38242, 1495, 4795, 7773, 11, 4970, 203, 2120, 282, 7056, 2748, 362, 45156, 16, 2677, 7593, 326, 18578, 8040, 17, 2455, 203, 2120, 282, 15881, 9782, 378, 1441, 392, 16, 2677, 7593, 326, 18578, 8040, 17, 26, 203, 2120, 17665, 319, 37869, 2610, 3126, 77, 82, 16, 2677, 7593, 326, 351, 3186, 90, 570, 26398, 17, 23, 203, 24041, 26832, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 18578, 8040, 17, 22, 203, 203, 38298, 1039, 203, 24568, 9773, 3673, 16, 2677, 6065, 9434, 290, 21907, 87, 5604, 203, 24568, 1524, 13315, 16, 5604, 292, 10235, 203, 13692, 308, 4532, 317, 9559, 317, 16, 2677, 11432, 5604, 292, 16016, 203, 23811, 24568, 351, 1377, 16, 5604, 292, 11432, 10689, 203, 430, 1918, 362, 9773, 3673, 3531, 28293, 16195, 333, 16, 2677, 5604, 292, 5049, 27996, 203, 4298, 9497, 28044, 16, 5604, 292, 1461, 20914, 775, 11, 27996, 290, 38412, 21730, 203, 25981, 76, 749, 322, 40364, 31554, 72, 76, 1384, 16, 2677, 9908, 262, 286, 3296, 314, 1286, 37686, 20705, 203, 781 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1811, 341, 351, 18, 31554, 72, 76, 1384, 16, 14667, 43379, 31578, 290, 2677, 13324, 292, 225, 88, 76, 73, 7738, 292, 11432, 10689, 203, 16195, 349, 528, 4616, 77, 82, 16, 5604, 292, 8088, 16, 8221, 290, 15973, 10415, 203, 4030, 32012, 285, 50138, 31456, 16, 2677, 5604, 292, 30714, 203, 2120, 282, 2610, 3126, 77, 82, 8607, 16, 2677, 5604, 292, 5049, 27996, 203, 46300, 6172, 85, 17, 73, 17, 41, 4880, 448, 31554, 72, 76, 1384, 16, 2183, 25559, 286, 225, 88, 76, 73, 8517, 5604, 292, 16016, 203, 395, 9822, 69, 556, 31554, 72, 76, 1384, 16, 4218, 290, 2885, 2528, 25559, 286, 225, 88, 76, 73, 4547, 28263, 5425, 3119, 431, 393, 480, 606, 37686, 20705, 203, 203, 12808, 3350, 203, 24568, 5905, 28838, 18393, 410, 35883, 16, 6132, 16451, 290, 3506, 4467, 1712, 326, 19016, 225, 88, 76, 73, 2349, 480, 5158, 291, 3350, 203, 361, 546, 77, 82, 44949, 3853, 16, 3550, 34375, 16, 554, 2630, 292, 225, 88, 76, 73, 30000, 5198, 3853, 439, 1795, 1650, 405, 203, 39914, 349, 8607, 378, 759, 262, 11372, 16, 1260, 88, 76, 39914, 349, 292, 5656, 4880, 16, 8953, 290, 4467, 292, 225, 88, 76, 73, 13159, 8784, 4771, 203, 2120, 282, 24568, 14490, 333, 331, 14642, 16, 724, 5910, 8953, 292, 34563, 16, 18258, 292, 225, 88, 76, 73, 10834, 1950, 203, 203, 39302, 203, 42159, 362, 8675, 333, 16, 4582, 5604, 292, 34563, 290, 1708, 3551, 19057, 203, 3894, 89, 28044, 24568, 46180, 553, 16, 18578, 8040, 8784, 3556, 7754, 290, 8128, 203, 42159, 362, 9331, 3673, 16, 9696, 16, 8128, 290, 6132, 16451, 203, 49, 3186, 4594, 13692, 308, 41299, 16, 21716, 5604, 292, 3551, 19057, 203, 42159, 362, 9697, 1081, 3673, 20705, 16, 2260, 292, 225, 88, 76, 73, 685, 4263, 2090, 8793, 292, 9061, 203, 42159, 362, 351, 5391, 755, 1618, 76, 578, 16, 2260, 292, 225, 88, 76, 73, 377, 334, 2090, 8793, 292, 9061, 290, 9061, 526, 724, 5604, 292, 16425, 203, 42159, 362, 351, 3893, 9324, 355, 755, 1618, 76, 1384, 16, 2260, 292, 225, 88, 76, 73, 685, 4263, 2090, 8793, 292, 9061, 203, 37, 1211, 349, 8607, 16, 7754, 292, 1558, 17, 20226, 1776, 38999, 526, 11228, 290, 9936, 17, 31892, 292, 1558, 17, 20226, 10964, 4970, 6377, 203, 37, 78, 7672, 8607, 16, 2260, 292, 225, 88, 76, 73, 832, 88, 76, 2090, 8793, 292, 9061, 203, 37, 18207, 328, 21227, 25169, 16, 2260, 292, 225, 88, 76, 73, 377, 334, 2090, 8793, 292, 9061, 203, 15040, 4541, 21227, 25169, 16, 2260, 292, 225, 88, 76, 73, 384, 348, 2090, 8793, 292, 9061, 203, 3111, 75, 410, 3129, 1286, 367, 637, 69, 755, 1942, 76, 1384, 16, 2260, 292, 225, 88, 76, 73, 685, 4263, 2090, 8793, 292, 9061, 203, 22320, 33842, 8607, 16, 14045, 14664, 4467, 16, 3984, 1010, 203, 11503, 14955, 12660, 321, 267, 8607, 16, 10821, 16, 40397, 290, 9696, 203, 49, 1742, 1021, 333, 28044, 4254, 753, 11931, 16, 2260, 292, 225, 88, 76, 73, 685, 4263, 2090, 8793, 292, 9061, 203, 33463, 8607, 16633, 50039, 16, 6432, 16, 12312, 17279, 290, 15649, 203, 32517, 4906, 321, 20705, 755, 1942, 76, 1384, 16, 2260, 292, 225, 88, 76, 73, 832, 88, 76, 2090, 8793, 292, 9061, 203, 32517, 14955, 47702, 16, 2260, 292, 225, 88, 76, 73, 685, 4263, 2090, 8793, 292, 9061, 203, 49, 3809, 9717, 395, 9717, 755, 1942, 45571, 16, 2260, 292, 225, 88, 76, 73, 377, 334, 2090, 8793, 292, 9061, 203, 55, 382, 746, 995, 298, 16, 2260, 292, 225, 88, 76, 73, 3551, 19057, 18709, 8793, 203, 53, 19131, 362, 332, 3126, 261, 16, 2260, 292, 225, 88, 76, 73, 685, 4263, 2090, 8793, 292, 9061, 203, 203, 20226, 203, 24568, 10518, 355, 755, 1942, 76, 1384, 16, 2677, 39693, 292, 6129, 355, 880, 78, 2027, 203, 332, 18, 393, 18, 26460, 321, 8298, 30007, 16, 3550, 2090, 6377, 2260, 203, 30718, 16814, 36908, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 1294, 7467, 46021, 411, 2105, 284, 16, 1558, 3350, 1851, 9170, 10553, 9696, 203, 1099, 5305, 528, 4616, 77, 82, 16, 2260, 292, 225, 88, 76, 73, 1524, 36112, 18709, 8793, 203, 1456, 2156, 40364, 18393, 31664, 45082, 4568, 16, 1558, 3350, 1851, 9170, 10553, 9696, 203, 9559, 317, 1343, 12207, 16, 2260, 292, 225, 88, 76, 73, 2339, 469, 274, 8377, 18709, 8793, 203, 9559, 553, 20705, 11372, 16, 2677, 39693, 292, 6129, 355, 880, 78, 2027, 203, 5498, 1410, 4152, 37040, 16, 39693, 292, 16605, 349, 2829, 203, 43223, 4116, 1428, 42393, 18393, 410, 1007, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 27526, 546, 21227, 3833, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 25391, 620, 69, 42393, 25169, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 16362, 77, 4342, 355, 528, 4616, 77, 82, 9172, 45082, 4568, 16, 39693, 292, 48783, 480, 14037, 203, 23319, 695, 1428, 8888, 6220, 506, 3192, 16, 5012, 4467, 292, 27539, 3451, 4568, 2011, 1181, 4771, 291, 34563, 203, 36035, 20412, 11879, 14407, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 12781, 274, 480, 26832, 389, 471, 8888, 6220, 506, 3192, 16, 2677, 39693, 292, 6129, 355, 880, 78, 2217, 203, 6129, 82, 445, 89, 34139, 45754, 284, 27850, 16, 3550, 2090, 6377, 2260, 203, 31337, 1365, 319, 4944, 13597, 3192, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 556, 417, 5181, 902, 13290, 1021, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 21675, 82, 445, 89, 3833, 16, 39693, 292, 12792, 620, 14037, 203, 30000, 285, 45593, 31712, 23081, 759, 4568, 16, 3550, 2090, 6377, 2260, 203, 4682, 3038, 457, 593, 13283, 45759, 16, 2677, 39693, 292, 12792, 620, 14037, 396, 17802, 17, 16117, 13, 203, 9866, 20412, 11879, 25169, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 351, 1350, 362, 9331, 3673, 755, 1942, 76, 1384, 16, 2176, 17, 2378, 39693, 16, 797, 17, 2378, 6826, 4138, 8793, 8886, 290, 5604, 292, 12834, 4691, 203, 15128, 44949, 25169, 16, 3550, 2090, 6377, 2260, 203, 8303, 7402, 20412, 11879, 411, 2105, 284, 16, 3550, 2090, 6377, 2260, 203 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 27064, 74, 358, 17, 13540, 82, 16954, 18058, 396, 5826, 13, 35323, 41230, 72, 457, 20581, 1444, 1565, 30, 13669, 74, 358, 17, 13540, 82, 16954, 18058, 3299, 35323, 41230, 72, 457, 35323, 17963, 1116, 31, 3904, 377, 24476, 13, 385, 225, 69, 1343, 700, 333, 3446, 347, 292, 6749, 362, 16, 225, 88, 76, 73, 22546, 292, 39012, 513, 17, 13540, 82, 17963, 1116, 18, 1563, 203, 2177, 2154, 3446, 347, 292, 6749, 362, 291, 1814, 4472, 819, 225, 88, 76, 73, 2371, 292, 522, 3223, 1383, 327, 70, 513, 17, 13540, 82, 41230, 72, 457, 18, 25024, 74, 644, 652, 5904, 359, 225, 88, 76, 73, 19066, 811, 225, 88, 76, 73, 4027, 292, 310, 367, 600, 9348, 42159, 358, 17, 32062, 562, 16, 596, 2421, 286, 1209, 225, 88, 76, 73, 3044, 5686, 291, 28834, 292, 225, 88, 76, 73, 1840, 1145, 347, 31, 225, 88, 76, 73, 617, 77, 82, 341, 913, 3198, 292, 41230, 72, 457, 16, 4298, 317, 513, 17, 13540, 82, 17963, 1116, 3299, 16, 16753, 286, 13662, 84, 6151, 383, 225, 88, 76, 73, 3696, 292, 39012, 513, 17, 13540, 82, 18, 409, 7641, 16, 596, 385, 4818, 326, 279, 15703, 286, 25673, 6749, 362, 16, 30195, 13597, 17836, 291, 2427, 1814, 4472, 290, 47886, 1857, 6749, 362, 16, 573, 31624, 325, 3143, 2494, 1814, 10575, 18, 1979, 269, 21324, 358, 17, 32062, 562, 16, 458, 1353, 36251, 81, 5011, 1485, 476, 5114, 16, 554, 292, 522, 7106, 16, 359, 11970, 16, 4721, 25024, 74, 225, 457, 17, 13540, 82, 2896, 517, 225, 88, 76, 73, 29620, 3525, 292, 1145, 347, 18, 409, 7641, 568, 4308, 225, 88, 76, 73, 4159, 292, 39012, 513, 17, 13540, 82, 18, 1563, 203, 2598, 39012, 513, 17, 13540, 82, 526, 2371, 396, 4644, 1814, 10559, 873, 36251, 81, 5011, 1485, 476, 5114, 1981, 286, 39336, 286, 949, 1945, 292, 522, 3198, 290, 9430, 3544, 292, 383, 16089, 75, 292, 13662, 84, 6151, 18, 25024, 74, 225, 457, 17, 13540, 82, 13079, 522, 16468, 505, 290, 12501, 522, 10980, 18, 409, 48704, 292, 39336, 16, 10120, 431, 36251, 81, 5011, 1485, 476, 5114, 526, 3923, 1420, 16, 3884, 25024, 74, 225, 457, 17, 13540, 82, 519, 1830, 16, 517, 458, 882, 449, 32057, 1364, 458, 385, 5322, 291, 307, 1999, 6749, 362, 18, 364, 566, 29655, 39336, 385, 2123, 286, 4342, 32695, 18, 203, 203, 15059, 32695, 1837, 1945, 292, 21728, 37853, 17, 1759, 321, 396, 12392, 7654, 13, 517, 25024, 74, 225, 457, 17, 13540, 82, 2421, 286, 949, 658, 13662, 84, 6151, 16, 541, 458, 2632, 522, 3845, 314, 3404, 513, 17, 13540, 82, 10931, 11, 457, 383, 225, 88, 76, 73, 1357, 292, 279, 7733, 286, 3373, 4342, 32695, 30, 544, 1112, 291, 279, 1389, 1689, 378, 2512, 1740, 46192, 378, 2512, 396, 31764, 295, 30, 225, 154, 229, 25417, 27339, 26425, 22250, 260, 24984, 14726, 38900, 13, 827, 25024, 74, 225, 457, 17, 13540, 82, 385, 9561, 18, 9365, 458, 4734, 326, 1378, 5269, 383, 14718, 358, 17, 55, 19663, 396, 31764, 295, 30, 22250, 108, 19697, 22250, 116, 19697, 153, 120, 14726, 26425, 13, 1689, 13662, 84, 6151, 16, 827, 458, 385, 568, 9561, 31, 458, 1981, 785, 286, 6749, 362, 290, 2632, 2316, 9617, 286, 4342, 32695, 4009, 522, 18089, 16, 573, 385, 6241, 18, 203, 203, 55, 382, 74, 225, 457, 17, 13540, 82, 3904, 423, 39419, 16, 290, 522, 3845, 314, 3404, 513, 17, 13540, 82, 10931, 11, 457, 13663, 950, 291, 377, 24476, 18, 203, 203, 1987, 203, 203, 16741, 203, 203, 21, 24476, 5850, 203, 62, 1423, 333, 1145, 12959, 292, 6749, 362, 203, 38794, 87, 292, 225, 88, 76, 73, 25057, 2664, 203, 1996, 88, 76, 17, 4577, 5850, 423, 39419, 203, 10884, 292, 2420, 8061, 203, 1996, 88, 76, 17, 4577, 49581, 291, 225, 88, 76, 73, 6707, 3551, 203, 56, 523, 33933, 5850, 291, 9662, 2, 0, 31474, 11384, 466, 3166, 5314, 18293, 318, 225, 69, 225, 941, 20611, 16820, 573, 4614, 291, 430, 306, 3150, 4521, 291, 16885, 29307, 16, 3350, 18, 225, 409, 16820, 318, 225, 69, 11667, 17, 1677, 37919, 16820, 16, 13059, 431, 11384, 13753, 293, 18551, 8797, 290, 14964, 337, 775, 384, 18, 6688, 36483, 26038, 292, 2171, 18, 409, 1179, 16820, 17145, 364, 317, 368, 20431, 290, 957, 32158, 1012, 2435, 382, 7515, 573, 14964, 7116, 225, 88, 76, 73, 9107, 545, 3931, 18, 409, 16820, 385, 225, 88, 76, 73, 4807, 17166, 351, 18, 37, 430, 2142, 16414, 16, 2260, 292, 225, 88, 76, 73, 15872, 10336, 292, 225, 88, 76, 73, 430, 306, 3150, 20383, 291, 225, 88, 76, 73, 1846, 8587, 87, 18, 203, 203, 1987, 203, 203, 3591, 568, 203, 47, 3992, 284, 14969, 18293, 203, 203, 41, 306, 3150, 4521, 203, 4883, 886, 291, 16885, 29307, 203, 43, 768, 498, 5593, 29942, 328, 321, 203, 38, 12009, 3166, 3703, 2, 0, 50, 284, 14969, 324, 4970, 9069, 318, 225, 69, 7970, 292, 361, 9309, 78, 9484, 364, 2571, 292, 755, 6076, 356, 518, 4010, 18, 203, 203, 18438, 203, 38517, 292, 15533, 14969, 324, 3037, 2116, 16, 10731, 11837, 396, 7068, 18, 29, 3059, 7748, 22, 3155, 16537, 102, 203, 203, 13403, 203, 12175, 30, 389, 438, 81, 2895, 4970, 203, 17480, 30, 225, 1524, 1365, 354, 35670, 3392, 6101, 69, 203, 10371, 30, 361, 9309, 78, 9484, 4970, 203, 11693, 30, 225, 16101, 480, 25071, 7876, 15309, 290, 7880, 44124, 382, 3392, 94, 370, 1021, 203, 203, 35370, 203, 2598, 225, 88, 76, 73, 8338, 16016, 10887, 16, 15533, 14969, 324, 4970, 644, 225, 69, 3650, 292, 3275, 16, 47676, 18, 203, 203, 13480, 203, 15533, 14969, 324, 16877, 3049, 18, 203, 15533, 14969, 324, 396, 5953, 296, 19433, 13, 2720, 1925, 18, 203, 15533, 14969, 324, 8213, 4682, 86, 14636, 18, 203, 15533, 14969, 324, 396, 10791, 9484, 13, 2720, 1925, 18, 203, 37640, 354, 6343, 48015, 14117, 1925, 18, 203, 15533, 14969, 324, 48015, 18, 14117, 1925, 18, 203, 11659, 33817, 3995, 69, 48015, 18, 14117, 1925, 18, 203, 7880, 34250, 324, 2720, 1925, 18, 203, 7880, 34250, 324, 48015, 18, 14117 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1204, 18, 203, 45593, 356, 281, 2534, 18, 14117, 1925, 203, 21438, 88, 354, 6343, 29967, 328, 30194, 7886, 4682, 86, 14636, 203, 203, 26357, 17155, 290, 280, 9717, 1239, 203, 50, 284, 14969, 324, 290, 7880, 34250, 324, 318, 225, 88, 76, 73, 1179, 12761, 291, 225, 88, 76, 73, 7970, 18, 37640, 354, 6343, 280, 26398, 203, 203, 23658, 290, 288, 275, 94, 287, 203, 10791, 9484, 16, 389, 3032, 620, 30500, 16, 781, 275, 35154, 41095, 16, 225, 203, 87, 6183, 33817, 3995, 69, 16, 50, 11659, 33817, 3995, 69, 16, 378, 2708, 567, 16, 3574, 5562, 322, 18, 2699, 16814, 9484, 37640, 354, 6343, 18, 203, 203, 1987, 203, 203, 3627, 677, 292, 361, 9309, 78, 9484, 364, 2571, 2, 0, 29100, 995, 7162, 2127, 21492, 71, 4197, 17, 38, 9267, 47648, 396, 37801, 1180, 16324, 13, 385, 225, 69, 10624, 3702, 18, 332, 26592, 292, 225, 88, 76, 73, 18573, 11111, 1771, 14490, 25959, 1000, 16, 458, 37160, 286, 225, 88, 76, 73, 1851, 2198, 292, 3146, 291, 14106, 18, 203, 203, 15731, 203, 203, 9035, 969, 203, 203, 38, 9267, 47648, 526, 3223, 16, 225, 69, 10624, 17516, 329, 16, 385, 44419, 286, 42874, 650, 8609, 77, 47648, 385, 2176, 18, 8609, 77, 47648, 526, 2974, 7208, 286, 1085, 346, 633, 1528, 18, 409, 6926, 1737, 225, 88, 76, 73, 5316, 10724, 3689, 279, 2516, 326, 8609, 77, 47648, 16, 522, 2974, 290, 522, 15549, 286, 7789, 1576, 18, 1591, 940, 9556, 544, 1100, 225, 69, 836, 286, 9732, 16, 13780, 291, 18317, 18, 203, 203, 38, 9267, 47648, 7051, 383, 225, 88, 76, 73, 5029, 292, 12536, 4950, 291, 22943, 16, 290, 7640, 291, 17003, 18, 731, 3689, 798, 17624, 981, 225, 88, 76, 73, 2391, 16, 15131, 13117, 292, 25859, 16, 20291, 2404, 383, 225, 88, 76, 73, 2090, 4680, 16, 22943, 18, 731, 385, 6081, 225, 69, 7428, 6677, 292, 21121, 28972, 4395, 16, 225, 88, 76, 73, 10624, 12497, 2090, 4680, 292, 12536, 4950, 18, 203, 203, 10571, 2446, 3299, 203, 2856, 225, 88, 76, 73, 2391, 8267, 524, 16, 8609, 77, 47648, 3989, 225, 88, 76, 73, 10624, 12149, 7786, 18, 557, 14123, 458, 2406, 359, 225, 69, 8138, 12358, 16, 290, 423, 10679, 286, 13525, 1837, 641, 291, 5033, 2944, 4661, 566, 291, 22943, 16, 5081, 17, 39007, 3299, 811, 225, 88, 76, 73, 42012, 689, 22789, 2656, 203, 203, 2177, 385, 9859, 431, 225, 88, 76, 73, 42455, 32205, 291, 2485, 13525, 290, 25976, 290, 26777, 532, 383, 225, 88, 76, 73, 22361, 363, 20470, 480, 6442, 18, 364, 566, 458, 385, 2632, 286, 14490, 25959, 1000, 11111, 1771, 18, 203, 203, 10608, 961, 225, 69, 3508, 292, 18573, 13393, 290, 592, 12462, 3189, 383, 225, 88, 76, 73, 1771, 16, 8609, 77, 47648, 3838, 4371, 277, 17624, 524, 292, 4817, 458, 882, 942, 286, 5422, 2374, 290, 20119, 291, 522, 6552, 16060, 16, 290, 291, 4923, 292, 1059, 19025, 18, 1728, 8945, 22104, 17624, 2765, 30, 203, 409, 33960, 396, 74, 13782, 13, 203, 409, 4808, 43454, 203, 409, 7870, 16595, 351, 49506, 396, 12144, 1712, 359, 225, 88, 76, 73, 41248, 292, 7870, 16595, 13, 203, 409, 26014, 346, 12963, 203, 409, 411, 15991, 203, 409, 38721, 203, 203, 1989, 4650, 346, 279, 2516, 16, 8609, 77, 47648, 6624, 225, 69, 13942, 292, 1220, 43058, 286, 225, 88, 76, 73, 1771, 6861, 16, 596, 6241, 225, 88, 76, 73, 1182, 16, 18342, 225, 88, 76, 73, 43058, 643, 225, 69, 3911, 5835, 18, 1218, 225, 88, 76, 73, 7870, 16595, 351, 49506, 345, 458, 3689, 5835, 1159, 16, 2196, 609, 1228, 16, 225, 88, 76, 73, 6132, 292, 9732, 16, 3845, 2831, 16, 290, 19849, 18, 2591, 2219, 29367, 292, 225, 88, 76, 73, 9494, 292, 225, 88, 76, 73, 4007, 27559, 643, 23429, 4265, 1434, 225, 88, 76, 73, 13942, 18, 203, 203, 521, 7870, 16595, 351, 49506, 385, 9489, 819, 225, 88, 76, 73, 2391, 290, 225, 69, 20842, 385, 2267, 291, 12902, 431, 225, 8010, 293, 31634, 3012, 6333, 40828, 93, 44186, 16, 431, 1374, 292, 225, 88, 76, 73, 10624, 2151, 290, 1584, 8609, 77, 47648, 526, 10605, 18, 738, 20842, 396, 5816, 29354, 2477, 13, 4819, 325, 3385, 383, 225, 88, 76, 73, 14490, 25959, 1000, 4680, 18, 203, 203, 2598, 225, 88, 76, 73, 1150, 595, 16, 8609, 77, 47648, 385, 225, 88, 76, 73, 6715, 292, 3512, 603, 292, 374, 579, 8963, 94, 16, 290, 10221, 1216, 1434, 225, 88, 76, 73, 1771, 326, 21911, 292, 225, 88, 76, 73, 10624, 2151, 17, 77, 82, 17, 1339, 712, 18, 6131, 385, 43463, 1047, 291, 290, 524, 292, 225, 88, 76, 73, 1771, 22808, 18, 203, 203, 2691, 225, 88, 76, 73, 723, 292, 225, 88, 76, 73, 10624, 4023, 5349, 16, 8609, 77, 47648, 19182, 291, 12896, 290, 16, 2655, 720, 33264, 225, 88, 76, 73, 1868, 16, 24336, 522, 5033, 2944, 4661, 566, 2580, 18, 731, 1837, 641, 291, 225, 88, 76, 73, 22943, 528, 17519, 290, 385, 1001, 8779, 431, 225, 88, 76, 73, 32640, 18, 731, 4361, 754, 225, 88, 76, 73, 3911, 23966, 17, 1586, 17, 7467, 12954, 383, 411, 1811, 37574, 16, 24225, 17372, 16, 290, 3579, 6135, 70, 460, 303, 16, 827, 458, 385, 38393, 431, 3194, 5508, 18, 203, 203, 5956, 17, 7467, 203, 203, 38, 9267, 47648, 9370, 291, 5438, 827, 458, 1112, 522, 3564, 29782, 24398, 1069, 8609, 77, 47648, 396, 35096, 25161, 1869, 873, 568, 279, 3702, 18, 1108, 3838, 48148, 290, 4067, 16, 290, 568, 3118, 5650, 10142, 326, 1528, 16, 2196, 624, 225, 69, 38256, 21620, 326, 225, 88, 76, 73, 8336, 18, 203, 203, 829, 14106, 225, 88, 76, 73, 2735, 3230, 286, 12382, 16, 5377, 16, 290, 2154, 1727, 6316, 291, 11777, 18, 9365, 544, 3230, 286, 25937, 16, 11391, 18, 203, 203, 46489, 17110, 203, 689, 31897, 12497, 29187, 3227, 2995, 2090, 2398, 4680, 291, 22943, 203, 689, 31897, 16950, 29187, 3227, 2995, 2090, 2398, 7940, 291, 22943, 203, 2086, 3757, 291, 10624, 47593, 567, 16, 5498, 1067, 7329, 17, 38, 463, 69, 203, 689, 1893, 14103 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 292, 10624, 16950, 3693, 291, 5438, 2995, 10624, 26566, 291, 5438, 203, 689, 25425, 1400, 553, 7223, 2350, 890, 297, 1081, 1623, 45494, 11036, 1428, 2995, 21674, 830, 567, 4394, 567, 1226, 363, 50076, 16, 9269, 203, 3211, 3010, 16, 12382, 16, 7715, 203, 1554, 44798, 2361, 5202, 16, 1554, 44798, 16, 7715, 203, 689, 21756, 48170, 292, 9732, 2995, 7715, 1495, 16, 27457, 16, 7715, 203, 11213, 2398, 7940, 16, 12382, 16, 7715, 203, 203, 49596, 2016, 1349, 291, 1502, 1803, 4327, 409, 4808, 43454, 16, 2361, 4680, 383, 14490, 25959, 1000, 396, 31258, 7016, 13, 203, 409, 41248, 292, 7870, 16595, 16, 2361, 4680, 383, 14490, 25959, 1000, 396, 264, 44942, 13, 203, 409, 411, 15991, 16, 2361, 4680, 383, 14490, 25959, 1000, 396, 31258, 7016, 13, 203, 640, 18, 5485, 389, 11, 7097, 2542, 16, 4680, 291, 9269, 396, 38922, 16, 12506, 13, 203, 4648, 25955, 16, 10624, 3536, 291, 9269, 396, 6950, 1655, 7047, 16, 12506, 13, 203, 39382, 286, 4138, 37993, 486, 22880, 471, 4723, 16, 24131, 2916, 2409, 16, 12382, 16, 7715, 396, 638, 14416, 16, 12506, 774, 821, 29354, 17789, 13, 203, 640, 18, 5485, 389, 11, 7097, 2542, 16, 4680, 291, 9269, 396, 38922, 16, 12506, 13, 203, 409, 26014, 16, 291, 2290, 292, 225, 88, 76, 73, 6978, 526, 6984, 16, 23723, 2417, 396, 74, 13782, 16, 12506, 13, 203, 203, 19207, 6924, 203, 6525, 292, 2915, 281, 396, 19225, 16, 13525, 13, 203, 6525, 292, 2915, 281, 396, 29131, 13, 203, 203, 1987, 203, 203, 3257, 2477, 203, 2361, 4680, 383, 14490, 25959, 1000, 774, 11301, 10361, 203, 43195, 292, 225, 88, 76, 73, 7870, 16595, 351, 49506, 203, 6187, 3803, 277, 30, 39382, 286, 4138, 37993, 486, 22880, 471, 4723, 203, 203, 37801, 4686, 203, 16324, 5850, 203, 31897, 29857, 286, 225, 88, 76, 73, 1851, 2198, 203, 6604, 5349, 1592, 203, 49, 1286, 25959, 1000, 11111, 1771, 17111, 203, 20278, 93, 292, 12536, 4950, 291, 22943, 7692, 203, 825, 88, 76, 17, 4577, 10624, 44880, 2, 0, 521, 2090, 7237, 325, 12053, 4385, 318, 225, 69, 4484, 17, 446, 3463, 326, 225, 69, 1657, 292, 3305, 6924, 326, 6301, 953, 959, 325, 16, 388, 346, 16, 2794, 18, 3440, 6081, 291, 6890, 16, 357, 318, 225, 88, 76, 73, 19066, 1465, 286, 225, 88, 76, 73, 6598, 5288, 292, 27776, 290, 225, 88, 76, 73, 42461, 2452, 8534, 1829, 18, 409, 3325, 318, 959, 2998, 3479, 1293, 16, 6337, 1154, 225, 88, 76, 73, 806, 6890, 286, 4597, 16, 290, 5725, 286, 4988, 16, 650, 357, 385, 959, 11717, 18, 409, 3325, 290, 709, 379, 1633, 25378, 6821, 371, 7462, 431, 225, 88, 76, 73, 14650, 1077, 18165, 10175, 7940, 16, 2558, 291, 14650, 1077, 16, 3610, 18, 203, 203, 829, 3486, 16, 225, 88, 76, 73, 2914, 8858, 4273, 292, 225, 88, 76, 73, 2090, 7237, 325, 12053, 3325, 385, 3100, 332, 8, 4425, 16, 1318, 290, 644, 1220, 5556, 30, 203, 521, 2212, 18598, 293, 2452, 8534, 1829, 4385, 16, 12981, 383, 332, 8, 2173, 16, 1318, 31, 203, 521, 14650, 1077, 18165, 10175, 37271, 39854, 6327, 6924, 16, 12981, 383, 527, 286, 332, 8, 825, 16, 1318, 31, 290, 203, 521, 10185, 292, 225, 88, 76, 73, 14650, 1077, 18165, 10175, 7940, 39854, 6327, 6924, 16, 12981, 383, 527, 286, 332, 8, 1537, 16, 1318, 18, 203, 203, 37234, 396, 39381, 3325, 770, 13, 203, 15490, 774, 13805, 24500, 2186, 203, 14646, 774, 14297, 361, 3893, 622, 203, 9578, 774, 10663, 16151, 10089, 203, 13452, 774, 310, 60, 486, 2082, 3733, 203, 12891, 774, 12964, 1710, 311, 203, 12353, 774, 3833, 6938, 203, 11283, 774, 43883, 319, 21986, 203, 10592, 774, 5897, 694, 351, 24495, 203, 8766, 774, 6476, 8679, 262, 203, 9227, 774, 9075, 6875, 203, 203, 1987, 203, 203, 3257, 2477, 203, 14650, 1077, 18165, 10175, 7940, 1622, 203, 14650, 1077, 18165, 10175, 7940, 774, 3486, 23015, 6801, 4385, 203, 351, 7504, 43, 774, 23015, 6801, 15377, 29187, 3227, 203, 203, 16745, 953, 6924, 203, 18085, 37811, 18165, 203, 15603, 3178, 291, 6890, 203, 15490, 9011, 291, 3610, 2, 0, 26218, 1239, 10594, 16, 17276, 8735, 6362, 10594, 16, 318, 225, 69, 4227, 290, 2677, 4967, 9389, 16, 915, 291, 225, 88, 76, 73, 9389, 292, 8735, 6362, 10594, 346, 15958, 76, 1567, 16, 291, 43562, 16, 3994, 581, 225, 3620, 292, 995, 4111, 18, 409, 4227, 2569, 709, 1565, 423, 225, 88, 76, 73, 8735, 1971, 19264, 30, 8735, 1971, 1817, 1866, 86, 10807, 3539, 8904, 557, 15360, 225, 88, 76, 73, 9389, 644, 225, 69, 3650, 292, 3436, 29, 18, 203, 203, 6355, 225, 203, 521, 31843, 292, 8735, 1239, 10594, 385, 2404, 291, 15322, 1631, 431, 225, 88, 76, 73, 2633, 77, 82, 12254, 1201, 16, 290, 291, 2272, 2721, 12739, 486, 2633, 77, 82, 12254, 385, 48592, 292, 8735, 1239, 10594, 18, 601, 385, 1708, 2404, 431, 225, 88, 76, 73, 6785, 293, 1201, 16, 596, 3168, 357, 291, 1946, 1878, 286, 2212, 46622, 16, 225, 69, 19100, 16635, 18, 2060, 292, 225, 88, 76, 73, 46622, 1201, 2387, 995, 4111, 1297, 3254, 18, 1218, 291, 1946, 11330, 8735, 1239, 10594, 385, 3168, 286, 3988, 19701, 16, 225, 69, 15011, 8128, 18, 1728, 3198, 5442, 16, 326, 1382, 286, 522, 1868, 16, 385, 2267, 15419, 19701, 292, 8735, 1239, 10594, 18, 409, 1201, 568, 5890, 33253, 6609, 10022, 16, 290, 42893, 2822, 4184, 8735, 1239, 10594, 3757, 359, 1597, 15087, 291, 5118, 1608, 225, 69, 22075, 526, 1128, 292, 225, 88, 76, 73, 1946, 88, 76, 3503, 915, 290, 326, 225, 69, 941, 595, 1364, 12038, 431, 225, 88, 76, 73, 15701, 292, 225, 88, 76, 73, 32003, 9603, 1143, 409, 4531, 5786, 427, 2970, 519, 9279, 637, 16, 225, 88, 76, 73, 30394, 8643, 725, 290, 225, 88, 76, 73, 1475, 3123, 1034, 371, 4561, 18, 5383, 16, 2375, 16, 225, 88, 76, 73, 5870, 4700, 325, 1174, 292, 225, 69, 864, 32427, 22264, 225, 88, 76, 73, 4573, 290, 371, 8810, 2387, 18, 409, 288, 993, 13801, 5854, 2471, 286, 427, 652, 20152, 698, 279, 4438, 6582, 18, 203, 203, 25477 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 10281, 225, 203, 26218, 1239, 10594, 318, 291, 225, 88, 76, 73, 21177, 20383, 292, 36695, 3032, 18, 1507, 377, 2355, 14417, 225, 88, 76, 73, 9389, 385, 30621, 286, 1139, 8735, 6362, 10594, 346, 15958, 76, 1567, 18, 203, 203, 41820, 3345, 225, 203, 521, 3042, 318, 4069, 286, 640, 29811, 16, 290, 42893, 2822, 2897, 357, 291, 225, 69, 19020, 484, 1991, 16, 346, 5870, 12611, 581, 18, 601, 644, 652, 20271, 291, 225, 88, 76, 73, 45467, 3503, 16, 290, 1367, 15446, 36250, 643, 1013, 291, 225, 88, 76, 73, 1848, 18, 557, 42335, 16, 2375, 16, 357, 385, 20271, 383, 225, 69, 1432, 292, 4576, 9367, 290, 225, 69, 631, 661, 862, 385, 20757, 383, 442, 595, 18, 1507, 225, 88, 76, 73, 3686, 2832, 292, 225, 88, 76, 73, 3042, 16, 12046, 225, 88, 76, 73, 39282, 463, 16, 318, 225, 69, 5870, 17981, 346, 430, 36973, 42335, 18, 5788, 18, 5442, 361, 12675, 341, 16, 48254, 18, 5169, 14264, 290, 7804, 22702, 16, 3536, 13211, 675, 18, 50197, 1857, 27636, 18, 35656, 939, 290, 11098, 354, 2657, 20718, 18, 1238, 318, 225, 69, 3778, 3208, 292, 19486, 19912, 290, 554, 5642, 225, 69, 8509, 28310, 16, 573, 42893, 2822, 1740, 1866, 10149, 662, 565, 746, 2460, 1323, 303, 44402, 203, 203, 3001, 313, 596, 2330, 803, 3882, 286, 987, 203, 1266, 459, 3028, 225, 69, 11454, 2328, 286, 35367, 30, 203, 45, 19025, 385, 2971, 225, 88, 76, 73, 5161, 16, 203, 2702, 431, 225, 69, 563, 314, 3583, 1444, 761, 31, 203, 2943, 7159, 290, 6409, 573, 458, 4269, 304, 719, 16, 203, 45, 16, 961, 29132, 16, 385, 38232, 18, 203, 45, 2374, 458, 459, 20290, 339, 16, 203, 4011, 8154, 225, 88, 76, 73, 13670, 1036, 326, 530, 18, 203, 203, 1266, 385, 225, 88, 76, 73, 2814, 285, 12520, 292, 5358, 37350, 16, 596, 3904, 832, 2485, 1946, 10266, 18, 332, 563, 346, 5334, 458, 644, 225, 69, 14039, 3813, 17804, 1736, 225, 69, 46445, 12604, 12102, 326, 950, 16, 517, 660, 385, 12442, 786, 291, 8340, 286, 7342, 225, 88, 76, 73, 48898, 18, 409, 19486, 10800, 318, 915, 6073, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 37369, 12823, 45, 396, 14383, 282, 30, 3498, 2636, 3486, 13, 203, 203, 23658, 291, 43562, 203, 15720, 4967, 30062, 291, 43562, 2, 0, 50, 1568, 91, 285, 1077, 318, 225, 69, 4227, 291, 43562, 16, 3994, 581, 225, 5696, 3620, 5696, 292, 3584, 84, 2476, 18, 203, 203, 37, 2677, 9355, 17, 15078, 915, 11033, 698, 6858, 5896, 16, 225, 88, 76, 73, 1367, 4227, 1204, 568, 11033, 698, 225, 69, 1577, 16, 279, 1367, 6640, 16, 225, 69, 1240, 3042, 16, 290, 225, 69, 1319, 292, 33431, 290, 10494, 23801, 225, 88, 76, 73, 4227, 18, 409, 1367, 3254, 16, 14217, 1958, 9527, 16, 1146, 6606, 291, 225, 69, 4531, 3785, 225, 88, 76, 73, 3387, 18, 409, 4227, 3254, 291, 428, 1568, 91, 285, 1077, 318, 14217, 1958, 9527, 290, 3093, 286, 427, 652, 3230, 660, 650, 225, 88, 76, 73, 4227, 385, 3230, 18, 409, 2536, 1637, 318, 915, 2711, 944, 18, 409, 3254, 6606, 377, 18, 26, 81, 864, 290, 385, 18548, 291, 43286, 18, 3531, 292, 225, 88, 76, 73, 2078, 581, 357, 504, 652, 4082, 532, 290, 13556, 346, 4811, 18, 203, 203, 6355, 225, 203, 5733, 225, 88, 76, 73, 8087, 2446, 16, 46823, 5127, 282, 225, 69, 1648, 4260, 291, 225, 88, 76, 73, 9603, 292, 225, 88, 76, 73, 369, 1375, 428, 1568, 91, 285, 1077, 3757, 326, 554, 1876, 16, 290, 1708, 6081, 225, 69, 1961, 292, 4576, 6188, 17, 25, 87, 17, 26, 72, 18, 359, 10351, 326, 225, 88, 76, 73, 3878, 1772, 431, 522, 9893, 18, 1979, 331, 993, 46369, 291, 1946, 6427, 5528, 17738, 267, 16, 225, 69, 12730, 576, 4467, 16, 326, 225, 69, 941, 1027, 2759, 28370, 291, 225, 69, 689, 6703, 386, 526, 26734, 6, 291, 279, 6440, 1628, 292, 225, 88, 76, 73, 3757, 18, 13769, 35243, 16, 225, 69, 891, 16635, 17, 10958, 872, 292, 19100, 383, 225, 88, 76, 73, 3352, 292, 225, 88, 76, 73, 1583, 88, 76, 3503, 16, 385, 225, 69, 5910, 292, 428, 1568, 91, 285, 1077, 290, 2387, 225, 69, 12005, 431, 225, 88, 76, 73, 5428, 16, 517, 786, 13977, 292, 357, 4819, 18, 203, 203, 18456, 13539, 225, 203, 521, 21026, 526, 49249, 14645, 9609, 225, 88, 76, 73, 4227, 1490, 720, 225, 286, 225, 88, 76, 73, 5898, 18, 409, 2685, 14645, 318, 225, 69, 5250, 2441, 573, 4918, 383, 3807, 12821, 325, 13205, 5226, 526, 6785, 16, 3620, 292, 2811, 7232, 16, 290, 15362, 225, 3620, 1775, 1808, 43562, 286, 225, 88, 76, 73, 5465, 292, 225, 88, 76, 73, 3703, 316, 26743, 383, 3841, 12000, 17, 31401, 17, 56, 26743, 18, 203, 203, 19294, 4658, 49249, 14645, 12538, 16, 428, 1568, 91, 285, 1077, 16, 568, 1712, 359, 16, 388, 4997, 291, 5939, 5347, 359, 2720, 41661, 5274, 18, 2938, 10626, 1392, 8323, 282, 325, 629, 9501, 10222, 359, 10157, 517, 915, 3285, 286, 339, 4819, 292, 18884, 7318, 12693, 54, 1146, 5187, 359, 1392, 7952, 292, 10157, 6364, 5656, 5187, 359, 1392, 9669, 1438, 292, 279, 19126, 11524, 10157, 7318, 738, 1637, 504, 652, 4184, 359, 225, 69, 363, 1718, 12538, 18, 409, 5612, 345, 442, 1637, 318, 225, 69, 15322, 4033, 2634, 388, 17400, 318, 19613, 545, 18, 203, 203, 50, 1568, 91, 285, 1077, 3757, 318, 225, 69, 14054, 314, 4842, 1848, 18, 1238, 504, 652, 225, 69, 1577, 325, 225, 88, 76, 73, 1637, 1364, 225, 88, 76, 73, 2116, 88, 76, 3503, 18, 409, 1552, 1577, 16, 573, 385, 2387, 291, 581, 1958, 10721, 16, 286, 225, 69, 946, 431, 4166, 5358, 316, 2287, 1534, 504, 279, 7011, 1220, 17, 34593, 16, 4266, 17, 70, 10789, 2290, 505, 346, 2950, 1289, 719, 290, 9106, 19126, 4566, 6593, 7978, 18, 409, 7611, 8382, 629, 4164, 2134, 1315, 225, 69, 15726, 1530, 10157, 573, 783, 4051, 29855, 292, 6306, 47453, 18, 409, 10494, 4051, 225, 69, 4483, 323, 290 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 32683, 2134, 18, 203, 203, 41820, 3345, 1563, 203, 521, 3042, 318, 4069, 286, 640, 36593, 18, 731, 318, 225, 88, 76, 73, 25334, 7035, 286, 359, 689, 24710, 332, 16986, 333, 4925, 6, 291, 554, 292, 225, 88, 76, 73, 21607, 3706, 5854, 291, 225, 88, 76, 73, 3042, 16, 1866, 37, 16986, 333, 4925, 11, 961, 225, 88, 76, 73, 8131, 1139, 292, 225, 88, 76, 73, 1565, 1866, 43, 3790, 8904, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 37369, 12823, 45, 396, 14383, 282, 30, 3498, 2636, 3486, 13, 203, 203, 23658, 291, 43562, 2, 0, 19421, 37811, 318, 225, 69, 4227, 291, 43562, 16, 3994, 581, 225, 3620, 292, 995, 82, 12000, 18, 203, 203, 25477, 10281, 225, 203, 19421, 37811, 318, 291, 225, 88, 76, 73, 21177, 20383, 292, 3841, 12000, 17, 31401, 17, 56, 26743, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 203, 37369, 12823, 45, 396, 14383, 282, 30, 3498, 2636, 3486, 13, 203, 203, 23658, 291, 43562, 2, 0, 24232, 457, 40585, 11651, 2166, 19006, 695, 284, 37781, 396, 3640, 14186, 13, 318, 279, 3550, 17, 3640, 6899, 11342, 16, 26052, 277, 325, 1778, 526, 6899, 290, 36643, 2255, 291, 1773, 9211, 34125, 16, 16885, 29307, 16, 3350, 18, 4327, 203, 203, 15924, 225, 203, 42797, 695, 284, 37781, 385, 3157, 291, 1773, 9211, 34125, 16, 16885, 29307, 16, 3350, 18, 2325, 3223, 385, 225, 69, 8128, 16, 6132, 16451, 290, 9696, 26052, 277, 325, 6396, 12042, 18, 19006, 695, 284, 37781, 526, 2974, 385, 225, 69, 4956, 291, 1773, 9211, 34125, 18, 203, 203, 8714, 1846, 2528, 385, 291, 1773, 9211, 34125, 16, 3350, 290, 857, 780, 3230, 325, 286, 225, 88, 76, 73, 46686, 14394, 292, 633, 2974, 16, 15445, 6424, 3049, 291, 27022, 286, 3681, 633, 3009, 3658, 18, 1507, 9130, 292, 633, 3009, 4206, 291, 27022, 16, 780, 3230, 286, 1063, 2229, 290, 857, 286, 25889, 16, 24283, 16, 3522, 18, 1236, 1708, 2154, 225, 69, 16076, 292, 5138, 3049, 292, 43698, 292, 3522, 291, 11086, 290, 225, 69, 23318, 383, 225, 88, 76, 73, 1495, 292, 24283, 16, 3522, 18, 203, 203, 2091, 633, 2877, 286, 3350, 291, 10584, 16, 7880, 457, 40585, 11651, 2166, 3989, 11237, 7902, 32023, 47271, 6984, 290, 1698, 519, 45021, 49317, 290, 421, 32646, 1253, 4932, 18, 1236, 385, 13488, 291, 225, 88, 76, 73, 9221, 292, 374, 36037, 2916, 18, 557, 1846, 3008, 16, 780, 3230, 698, 225, 69, 631, 5209, 292, 633, 884, 374, 36037, 2916, 16, 2558, 291, 225, 88, 76, 73, 6836, 641, 292, 1773, 9211, 34125, 3047, 479, 1778, 526, 6899, 1382, 811, 225, 69, 2013, 4097, 18, 1236, 6019, 225, 69, 14707, 291, 10497, 286, 4049, 326, 225, 88, 76, 73, 2898, 292, 47761, 417, 9149, 290, 3305, 11719, 290, 3189, 18, 203, 203, 16583, 12480, 3227, 225, 203, 10200, 30, 4327, 17232, 4136, 16, 374, 36037, 2916, 16, 1773, 9211, 34125, 203, 17232, 4136, 16, 47342, 2000, 17168, 5852, 2916, 1773, 9211, 34125, 203, 4136, 16, 2916, 326, 2623, 77, 28697, 4547, 1773, 9211, 34125, 46398, 8423, 203, 4136, 16, 374, 36037, 2916, 290, 35386, 11906, 11763, 16, 1773, 9211, 34125, 203, 34019, 9701, 7458, 16, 409, 16885, 29307, 1900, 18, 351, 12251, 6424, 1495, 203, 203, 26923, 290, 1734, 1563, 557, 341, 44314, 292, 41264, 27987, 203, 6697, 292, 6751, 2000, 17168, 8804, 203, 11607, 1370, 1574, 290, 4691, 30, 18016, 290, 12755, 203, 24326, 16, 24899, 40, 3044, 2898, 326, 36643, 203, 203, 9807, 3207, 225, 203, 10200, 30, 203, 3550, 6424, 3693, 203, 1773, 9211, 34125, 45021, 49317, 290, 421, 32646, 1253, 4668, 774, 3296, 16, 5725, 17, 12891, 203, 11228, 421, 32646, 3034, 290, 45021, 49317, 43425, 292, 3350, 203, 3550, 3693, 292, 6865, 39165, 1131, 203, 2623, 77, 28697, 5143, 17, 11227, 13645, 45, 203, 3690, 4668, 292, 6751, 2000, 7435, 290, 37906, 732, 1253, 203, 1644, 4668, 292, 2000, 17168, 8804, 203, 8082, 16, 35910, 4119, 2818, 6697, 292, 45021, 49317, 290, 421, 32646, 1253, 16, 3179, 291, 1063, 5911, 203, 17967, 3296, 1773, 9211, 34125, 6694, 22795, 4668, 203, 203, 15603, 1563, 25138, 326, 225, 88, 76, 73, 319, 512, 292, 13089, 4385, 326, 225, 88, 76, 73, 1382, 291, 5134, 352, 87, 3308, 1028, 203, 4504, 1918, 274, 284, 3325, 326, 5134, 689, 42830, 433, 291, 6424, 4038, 6, 203, 25795, 7692, 3325, 326, 8526, 11791, 423, 1524, 77, 2720, 1925, 1563, 409, 7458, 19832, 378, 18, 43470, 17354, 526, 41865, 1515, 1258, 291, 3486, 203, 203, 1987, 1563, 203, 29146, 4686, 203, 6004, 717, 203, 38683, 292, 225, 88, 76, 73, 5138, 3049, 292, 43698, 203, 16610, 27049, 203, 16610, 19513, 1069, 320, 9972, 203, 56, 6080, 9053, 203, 19979, 8667, 423, 16885, 29307, 203, 5013, 423, 1773, 9211, 34125, 203, 16610, 1778, 19513, 1069, 320, 9972, 203, 825, 88, 76, 17, 4577, 3550, 1778, 9053, 203, 825, 88, 76, 17, 4577, 3550, 3009, 8667, 203, 16610, 1778, 27049, 203, 11854, 9053, 423, 16885, 29307, 203, 825, 88, 76, 17, 4577, 1778, 16168, 203, 825, 88, 76, 17, 4577, 27049, 2, 0, 521, 19888, 2409, 9069, 318, 225, 69, 1502, 6717, 2711, 291, 26321, 2086, 16, 291, 7445, 26321, 18, 225, 409, 10054, 5330, 1086, 2273, 225, 88, 76, 73, 17652, 20228, 6756, 8706, 23237, 290, 16, 1509, 346, 225, 88, 76, 73, 27360, 292, 225, 88, 76, 73, 20806, 4723, 290, 32384, 343, 308, 583, 16, 4341, 225, 69, 15868, 345, 28372, 225, 88, 76, 73, 4574, 45799, 43882, 5127, 423, 225, 88, 76, 73, 1716, 292, 225, 88, 76, 73, 1830, 18, 203, 203, 1200, 3387, 12481, 318, 9827, 282, 698, 5008, 8250, 431, 225, 88, 76, 73, 29670, 35499, 16, 225, 88, 76, 73, 29670, 18827, 17887, 1043, 8871, 16, 290, 225, 88, 76, 73, 29670, 486, 2215, 3807, 73, 17, 4685, 43512, 18, 225, 409, 1389, 38167, 431, 803, 8268, 318, 5699, 1913, 225, 409, 7445, 1885, 3512, 292, 225, 88, 76, 73, 2711, 318, 1740, 36356, 25697, 2409, 396, 10187, 71, 2426, 18, 25697, 859, 225, 409, 2711, 385, 2267, 819, 225, 88, 76, 73, 25072, 292, 225, 88, 76, 73 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 27512, 811, 225, 88, 76, 73, 29009, 22601, 292, 3023, 18, 203, 203, 521, 2711, 318, 225, 88, 76, 73, 3053, 292, 225, 88, 76, 73, 17337, 4135, 90, 45102, 16, 291, 225, 88, 76, 73, 7445, 1885, 3512, 16, 290, 225, 88, 76, 73, 17337, 24168, 523, 261, 16, 1808, 225, 88, 76, 73, 29670, 18827, 17887, 1043, 8871, 18, 225, 409, 17337, 4135, 90, 45102, 385, 225, 88, 76, 73, 5457, 292, 225, 88, 76, 73, 2193, 356, 8967, 13094, 3355, 467, 497, 83, 814, 486, 316, 42436, 25047, 3094, 3204, 16, 225, 88, 76, 73, 326, 262, 36890, 292, 18806, 48, 3348, 16, 290, 7462, 225, 88, 76, 73, 36794, 8311, 21000, 291, 12902, 290, 12180, 18, 225, 409, 17337, 24168, 523, 261, 385, 225, 88, 76, 73, 2536, 5457, 292, 225, 88, 76, 73, 3690, 4368, 292, 8381, 16, 290, 318, 915, 279, 953, 5977, 18, 203, 203, 5733, 225, 88, 76, 73, 30987, 326, 225, 88, 76, 73, 3344, 292, 225, 88, 76, 73, 12149, 35499, 936, 2711, 16, 225, 88, 76, 73, 4819, 292, 225, 88, 76, 73, 4033, 385, 23384, 18, 35530, 225, 88, 76, 73, 30869, 3537, 42401, 16, 225, 88, 76, 73, 25879, 24054, 27512, 424, 915, 339, 2194, 715, 3686, 292, 29670, 35499, 18, 409, 30869, 40644, 385, 5758, 2387, 291, 1958, 10721, 16, 19809, 291, 38751, 1180, 26, 16, 290, 394, 10753, 1133, 29520, 290, 29859, 18, 203, 203, 41851, 203, 203, 48933, 291, 26321, 2086, 2, 0, 16177, 2474, 38973, 2623, 7833, 396, 2288, 2429, 30254, 4219, 2262, 17555, 13, 385, 279, 25627, 19338, 291, 225, 88, 76, 73, 2775, 591, 88, 76, 290, 1846, 452, 88, 76, 10227, 18, 203, 203, 6976, 7833, 385, 3157, 383, 2699, 7194, 17, 263, 17, 14256, 81, 16, 22165, 1138, 4238, 16, 325, 1814, 2429, 30254, 290, 11007, 383, 1119, 2938, 526, 3049, 3023, 290, 16473, 3049, 16, 9656, 18, 23308, 1798, 291, 21546, 16, 458, 2483, 522, 9462, 346, 225, 69, 1097, 1941, 383, 640, 3059, 15919, 526, 27540, 290, 385, 857, 43947, 292, 640, 3059, 34101, 526, 291, 225, 88, 76, 73, 1150, 1830, 981, 522, 4043, 4303, 286, 225, 88, 76, 73, 2814, 2753, 404, 405, 359, 225, 88, 76, 73, 11614, 292, 3194, 8584, 18, 731, 385, 41172, 225, 69, 19338, 325, 2357, 2209, 24775, 16, 431, 9317, 4367, 3059, 38, 18833, 16, 24488, 292, 26632, 16, 383, 23076, 19432, 18, 731, 385, 1708, 12988, 286, 339, 225, 88, 76, 73, 11614, 292, 2474, 272, 5627, 18, 4150, 442, 2223, 458, 385, 568, 225, 88, 76, 73, 48592, 292, 640, 3059, 19438, 18841, 366, 76, 2393, 332, 6246, 45974, 998, 396, 76, 73, 4325, 225, 88, 76, 73, 661, 862, 1535, 522, 2371, 859, 731, 3904, 325, 3498, 2262, 17555, 290, 318, 11002, 291, 225, 88, 76, 73, 3042, 6589, 292, 640, 3059, 7187, 17, 267, 17, 44, 753, 22334, 3536, 16, 3023, 18, 1728, 5597, 36356, 385, 225, 69, 8833, 1670, 307, 9155, 18, 203, 203, 6976, 7833, 20349, 290, 4069, 225, 88, 76, 73, 30020, 22334, 2446, 9292, 291, 1589, 18154, 18, 203, 203, 2177, 8187, 291, 2779, 17003, 16, 15815, 277, 522, 821, 291, 595, 326, 522, 19066, 526, 32162, 41462, 325, 225, 88, 76, 73, 37897, 292, 640, 3059, 12919, 396, 3021, 3059, 7322, 859, 731, 2154, 279, 10529, 3059, 43428, 292, 3023, 1535, 522, 2371, 1608, 458, 9612, 15838, 22450, 292, 30020, 22334, 29175, 1663, 2453, 18, 203, 203, 1987, 203, 203, 1758, 5777, 4686, 203, 31357, 5850, 203, 12659, 23716, 26712, 292, 3194, 8584, 203, 38, 18468, 292, 2474, 272, 5627, 203, 23454, 292, 16473, 3049, 16, 9656, 203, 916, 88, 76, 17, 4577, 25627, 3536, 292, 3522, 26712, 203, 825, 88, 76, 17, 4577, 3536, 292, 3994, 26712, 203, 40857, 383, 640, 2212, 17, 267, 17, 44, 753, 22334, 203, 18875, 353, 2807, 292, 225, 88, 76, 73, 1851, 4622, 14975, 292, 3994, 203, 825, 88, 76, 17, 4577, 25627, 3536, 292, 3522, 26712, 2, 0, 22932, 3035, 290, 2608, 424, 1940, 30, 203, 203, 10469, 1253, 203, 22932, 17, 4768, 29010, 203, 22932, 17, 4768, 7541, 203, 22932, 17, 4768, 6039, 16, 225, 69, 13040, 17, 26545, 7430, 6360, 203, 22932, 17, 4768, 34169, 203, 22932, 3035, 2814, 7846, 30320, 203, 22932, 17, 4768, 1022, 1288, 84, 856, 869, 203, 5962, 203, 22932, 17, 4768, 33460, 16538, 203, 22932, 16030, 396, 1633, 295, 873, 225, 69, 10565, 203, 22932, 16030, 13107, 16, 1177, 431, 22821, 50244, 306, 203, 22932, 16030, 13107, 396, 39465, 873, 225, 69, 1452, 2353, 69, 6232, 396, 26545, 13, 292, 554, 3035, 2, 0, 44637, 10329, 21882, 396, 25913, 69, 31224, 1180, 33225, 13, 385, 225, 69, 10404, 16970, 9939, 291, 225, 88, 76, 73, 3551, 556, 49449, 328, 3442, 292, 3194, 8584, 18, 225, 731, 568, 8001, 10404, 28761, 325, 225, 88, 76, 73, 556, 49449, 328, 3703, 291, 14592, 290, 325, 225, 88, 76, 73, 640, 1365, 622, 3703, 291, 7984, 3194, 8584, 18, 225, 19614, 8226, 291, 225, 88, 76, 73, 19424, 7876, 316, 2821, 573, 4614, 754, 225, 88, 76, 73, 3551, 556, 49449, 328, 3442, 385, 6733, 7847, 286, 21882, 526, 7358, 290, 2269, 18, 225, 557, 1408, 286, 961, 225, 69, 10404, 16970, 9939, 16, 21882, 385, 568, 225, 69, 6416, 6869, 16, 2660, 17, 6307, 5499, 9093, 290, 3796, 291, 225, 88, 76, 73, 4780, 19582, 1868, 292, 225, 88, 76, 73, 8584, 3703, 18, 203, 203, 9035, 969, 203, 35707, 16014, 644, 652, 3157, 291, 44277, 80, 16, 14877, 581, 31224, 18, 225, 731, 3230, 286, 25889, 291, 26964, 16, 290, 857, 1882, 5696, 1376, 346, 225, 69, 5251, 7290, 11583, 35978, 5643, 291, 225, 88, 76, 73, 8584, 5158, 423, 27590, 17596, 286, 8541, 18, 203, 203, 32457, 203, 39583, 395, 18, 25962, 16, 225, 69, 11430, 16, 4491, 10819, 16, 3648, 17, 11180, 16, 290, 2746, 3561, 16, 1882, 286, 688, 21882, 761, 291, 10754, 1154, 225, 69, 5499, 3240, 968, 225, 88, 76, 73, 8584, 18, 225, 25962, 4184, 21882, 16, 290, 359, 689, 582, 292, 225, 88, 76, 73, 745, 21870, 16597, 291, 225, 88, 76, 73 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 24468, 2084, 292, 3194, 8584, 18970, 203, 203, 32070, 292, 10404, 8226, 203, 203, 829, 27636, 21882, 34437, 282, 225, 325, 225, 88, 76, 73, 5898, 1752, 292, 8584, 4488, 290, 13556, 13407, 16, 346, 225, 88, 76, 73, 1095, 292, 5254, 624, 286, 225, 88, 76, 73, 4540, 1848, 225, 88, 76, 73, 33016, 968, 39218, 383, 8541, 18, 225, 731, 2387, 797, 5299, 17, 11047, 21377, 10837, 16, 396, 11314, 689, 70, 405, 10166, 9530, 286, 3766, 522, 7783, 325, 225, 88, 76, 73, 5428, 18, 225, 21882, 2891, 225, 69, 10404, 16970, 703, 339, 225, 69, 877, 836, 286, 4924, 225, 88, 76, 73, 280, 405, 10166, 785, 28378, 18, 225, 731, 10538, 286, 427, 10404, 8707, 13226, 5696, 423, 225, 69, 10404, 18183, 2387, 291, 27453, 345, 8001, 383, 522, 965, 2364, 291, 14877, 18, 225, 4121, 225, 88, 76, 73, 8707, 5459, 16, 290, 225, 69, 21517, 882, 339, 2558, 16, 21882, 16138, 225, 69, 10404, 16970, 423, 45139, 42687, 290, 547, 1144, 345, 643, 12611, 1060, 383, 279, 1367, 2897, 15078, 18, 225, 409, 1873, 385, 225, 88, 76, 73, 35414, 16, 5292, 291, 26445, 383, 8541, 18, 225, 5458, 1846, 10859, 3972, 345, 633, 5132, 385, 689, 87, 3840, 324, 6293, 17955, 6, 290, 21882, 3544, 1708, 6672, 345, 780, 385, 689, 69, 2838, 23481, 10404, 16970, 1556, 203, 203, 16720, 225, 88, 76, 73, 1361, 35414, 203, 203, 40, 600, 376, 30741, 383, 2070, 1912, 16, 517, 21882, 385, 4619, 1316, 286, 5891, 633, 423, 225, 88, 76, 73, 5428, 18, 731, 857, 5395, 225, 88, 76, 73, 6526, 17, 13644, 42944, 286, 744, 1796, 1621, 291, 26234, 286, 427, 225, 69, 631, 27246, 16757, 262, 2387, 16, 568, 1740, 35414, 18, 225, 21882, 9899, 225, 88, 76, 73, 12319, 2913, 41208, 9763, 17398, 16, 292, 8469, 16, 8625, 286, 1127, 225, 88, 76, 73, 631, 42944, 16, 573, 3851, 1240, 16, 385, 761, 17, 21789, 290, 3737, 664, 225, 69, 10404, 16970, 18, 225, 21882, 568, 644, 2387, 225, 69, 1361, 42944, 16, 23842, 16, 573, 3851, 4762, 720, 225, 88, 76, 73, 1361, 35414, 16, 2318, 770, 2701, 7700, 292, 1257, 286, 1177, 291, 18, 225, 738, 385, 279, 4248, 291, 225, 88, 76, 73, 1541, 16704, 8713, 292, 225, 88, 76, 73, 8584, 2304, 8541, 16, 827, 359, 21882, 1353, 357, 16, 689, 88, 76, 73, 5428, 526, 4183, 385, 1541, 823, 2405, 286, 225, 88, 76, 73, 5428, 526, 1174, 2656, 203, 203, 521, 10430, 370, 694, 17, 37475, 33081, 18293, 203, 203, 37, 10398, 2443, 292, 225, 88, 76, 73, 19424, 7876, 316, 2821, 318, 345, 797, 292, 225, 88, 76, 73, 1864, 12602, 345, 2348, 754, 357, 16, 225, 88, 76, 73, 8584, 16, 14860, 3620, 16, 290, 225, 88, 76, 73, 556, 49449, 328, 14860, 3686, 16, 371, 11704, 431, 770, 581, 225, 69, 7802, 292, 2110, 21561, 766, 40429, 383, 225, 69, 1128, 915, 1712, 359, 18293, 2297, 1538, 18, 225, 1099, 225, 88, 76, 73, 1565, 15946, 16, 225, 69, 6477, 16820, 385, 2387, 1808, 18293, 2297, 1538, 431, 5169, 36271, 10430, 370, 694, 17, 37475, 33081, 16, 225, 69, 3690, 4491, 10819, 290, 34249, 423, 15690, 290, 22069, 3942, 18, 225, 409, 16820, 385, 3500, 291, 24860, 16, 517, 357, 385, 770, 1013, 1220, 1631, 431, 10404, 28761, 16, 760, 595, 811, 225, 88, 76, 73, 5464, 292, 9803, 21882, 18, 203, 203, 829, 24775, 16, 21882, 2387, 35522, 445, 13583, 383, 29490, 526, 27366, 325, 225, 88, 76, 73, 556, 49449, 328, 3703, 16, 290, 225, 1837, 225, 88, 76, 73, 12656, 754, 225, 88, 76, 73, 16820, 3620, 286, 225, 88, 76, 73, 48292, 383, 8541, 286, 2315, 633, 10323, 524, 18, 225, 2519, 442, 595, 357, 5272, 345, 225, 88, 76, 73, 16820, 644, 652, 8343, 388, 43446, 286, 225, 88, 76, 73, 5499, 827, 383, 2070, 629, 292, 225, 88, 76, 73, 14862, 292, 35522, 445, 13583, 644, 286, 339, 10839, 431, 12074, 225, 88, 76, 73, 12656, 292, 225, 88, 76, 73, 1257, 16, 14317, 49770, 225, 88, 76, 73, 5499, 16, 290, 12074, 633, 1509, 325, 31537, 18, 225, 4020, 225, 88, 76, 73, 4357, 16, 21882, 16, 357, 318, 4001, 16, 385, 1316, 286, 37441, 325, 225, 88, 76, 73, 16039, 2151, 286, 16022, 5006, 286, 4659, 225, 88, 76, 73, 16820, 18, 225, 557, 2775, 1589, 25374, 21882, 4415, 225, 88, 76, 73, 3500, 35522, 445, 13583, 785, 286, 225, 88, 76, 73, 556, 49449, 328, 3703, 16, 442, 595, 1022, 1614, 6969, 225, 88, 76, 73, 38815, 532, 16820, 18, 203, 203, 521, 16820, 6497, 23948, 1535, 22163, 16, 650, 21882, 3459, 2217, 4790, 3620, 423, 225, 88, 76, 73, 556, 49449, 328, 286, 225, 88, 76, 73, 8584, 18, 225, 409, 14862, 292, 2217, 4790, 385, 770, 959, 1634, 431, 225, 88, 76, 73, 12938, 16, 431, 5565, 576, 16, 292, 225, 88, 76, 73, 4533, 383, 225, 88, 76, 73, 16820, 18, 203, 203, 8141, 636, 16984, 325, 225, 88, 76, 73, 6440, 556, 49449, 328, 3703, 203, 37, 10376, 16984, 1509, 225, 88, 76, 73, 6440, 556, 49449, 328, 5428, 291, 225, 88, 76, 73, 1846, 19172, 87, 3119, 286, 225, 69, 3890, 326, 6477, 286, 3766, 26637, 290, 7113, 698, 16, 290, 22853, 524, 292, 16, 225, 88, 76, 73, 3442, 5919, 225, 88, 76, 73, 5428, 18, 225, 409, 3677, 6836, 11583, 383, 34747, 16, 14592, 385, 225, 88, 76, 73, 14262, 968, 39218, 5036, 4513, 326, 6440, 556, 49449, 328, 6477, 18, 203, 203, 35707, 16014, 3230, 3686, 423, 225, 88, 76, 73, 8584, 286, 225, 88, 76, 73, 556, 49449, 328, 16, 290, 2387, 225, 88, 76, 73, 1240, 27246, 16757, 262, 35522, 445, 13583, 383, 29490, 526, 27366, 16, 581, 225, 3620, 292, 225, 88, 76, 73, 1552, 1504, 292, 8928, 69, 18, 225, 6466, 292, 2158, 225, 88, 76, 73, 22853, 3686, 286, 225, 88, 76, 73, 34747, 16, 21882, 526, 1095, 385, 286, 1651, 225, 88, 76, 73, 22853, 3620, 1808, 18293, 2297, 1538, 290, 857, 968, 225, 88, 76, 73, 8584, 286, 225, 88, 76, 73 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 33016, 5036, 4513, 383, 8541, 18, 225, 21882, 1837, 35522, 445, 13583, 754, 225, 88, 76, 73, 10430, 370, 694, 17, 37475, 33081, 18293, 291, 225, 88, 76, 73, 2377, 292, 24775, 396, 281, 12517, 633, 1808, 18293, 2297, 1538, 873, 12020, 633, 524, 383, 8541, 16, 290, 4415, 754, 225, 88, 76, 73, 16820, 291, 225, 88, 76, 73, 4618, 292, 25374, 18, 203, 203, 521, 9556, 292, 3427, 35522, 445, 13583, 754, 225, 88, 76, 73, 18293, 12039, 21882, 345, 225, 88, 76, 73, 770, 19241, 5557, 385, 3686, 286, 34747, 18, 225, 2519, 1846, 23854, 16, 21882, 3989, 346, 12319, 2474, 321, 4723, 3703, 10404, 16970, 9939, 3988, 389, 18, 9660, 290, 2387, 17686, 396, 9787, 819, 21882, 526, 4159, 13, 383, 48798, 16, 14592, 18, 225, 17686, 385, 225, 88, 76, 73, 4104, 42944, 2162, 286, 6691, 325, 225, 88, 76, 73, 6440, 556, 49449, 328, 3703, 18, 225, 9365, 16, 21882, 290, 9660, 4203, 346, 13211, 866, 16, 290, 16, 650, 519, 9686, 16, 1466, 52, 13392, 290, 6906, 8792, 225, 88, 76, 73, 45375, 292, 1597, 519, 631, 12656, 21692, 2268, 396, 20850, 9720, 13, 29079, 819, 715, 2701, 2754, 292, 5185, 16, 225, 88, 76, 73, 1220, 1673, 643, 1316, 286, 22264, 225, 88, 76, 73, 5428, 4539, 18, 203, 203, 24318, 6522, 16202, 203, 203, 5663, 291, 225, 88, 76, 73, 1851, 2198, 16, 225, 88, 76, 73, 556, 49449, 328, 5428, 16, 291, 709, 2401, 1627, 981, 225, 88, 76, 73, 3344, 292, 225, 88, 76, 73, 48798, 8797, 16, 38816, 754, 34747, 16202, 286, 225, 88, 76, 73, 9513, 292, 34747, 16, 14592, 18, 225, 34747, 504, 2340, 3190, 15599, 359, 225, 69, 2364, 16, 517, 357, 385, 1689, 48798, 16, 14592, 18, 225, 22174, 34747, 16, 225, 88, 76, 73, 556, 49449, 328, 3703, 35856, 359, 357, 5583, 754, 34747, 16202, 16, 573, 385, 225, 69, 2645, 14032, 286, 654, 5428, 8226, 18, 225, 332, 3839, 6887, 7199, 385, 1712, 359, 225, 88, 76, 73, 3006, 8847, 18, 225, 34747, 16202, 385, 4184, 431, 7458, 7844, 1010, 359, 689, 69, 9425, 292, 1257, 16, 7803, 3214, 17, 13417, 16, 27893, 2340, 359, 325, 225, 69, 11446, 4097, 16, 11291, 9745, 720, 10404, 16970, 2656, 203, 203, 3595, 3502, 6554, 703, 3279, 225, 69, 3488, 326, 10404, 28761, 290, 13218, 1022, 1614, 225, 88, 76, 73, 34747, 16202, 18, 225, 21882, 1912, 31410, 279, 6554, 423, 3024, 7175, 286, 1425, 1482, 225, 69, 8353, 325, 26090, 18, 225, 409, 6554, 2891, 286, 10822, 225, 88, 76, 73, 5557, 326, 3544, 16, 290, 1981, 325, 2928, 346, 21882, 359, 225, 88, 76, 73, 9939, 526, 5499, 4126, 754, 225, 88, 76, 73, 30147, 18, 225, 1456, 225, 88, 76, 73, 991, 292, 225, 88, 76, 73, 3240, 16, 225, 88, 76, 73, 6554, 526, 8353, 326, 225, 69, 3488, 385, 554, 17, 17380, 292, 225, 88, 76, 73, 2278, 292, 225, 88, 76, 73, 13218, 18, 225, 393, 2270, 346, 442, 8353, 16, 21882, 2891, 286, 326, 2336, 3502, 18, 203, 203, 521, 3295, 11285, 286, 339, 959, 5300, 286, 20167, 225, 88, 76, 73, 2972, 18, 225, 29685, 225, 88, 76, 73, 797, 10404, 366, 882, 6319, 1175, 22, 16, 1318, 291, 13101, 27130, 619, 927, 16, 225, 69, 1171, 292, 1621, 291, 24238, 18, 225, 2519, 9179, 16, 225, 88, 76, 73, 27246, 16757, 262, 478, 18, 40, 18, 40755, 396, 44661, 873, 1432, 1175, 825, 16, 1318, 286, 1127, 291, 24238, 18, 225, 557, 2769, 1477, 292, 5185, 857, 16, 279, 2218, 10404, 16970, 882, 339, 3955, 326, 18, 225, 21882, 290, 9660, 39315, 3867, 286, 623, 225, 88, 76, 73, 528, 18, 55, 18, 5425, 286, 8046, 17271, 292, 629, 292, 225, 88, 76, 73, 11404, 290, 1327, 23812, 291, 34747, 16202, 18, 225, 8864, 2151, 723, 16, 544, 9899, 19489, 2939, 286, 502, 225, 88, 76, 73, 548, 658, 797, 27460, 16, 517, 225, 88, 76, 73, 2241, 643, 449, 292, 940, 2278, 18, 203, 203, 10608, 225, 88, 76, 73, 548, 325, 225, 88, 76, 73, 5845, 16, 760, 10404, 16970, 21882, 1801, 1837, 754, 34747, 16202, 385, 4619, 44759, 291, 225, 88, 76, 73, 30147, 18, 225, 409, 18351, 35522, 445, 13583, 290, 17686, 325, 1589, 1148, 16, 24238, 16, 9144, 291, 225, 88, 76, 73, 12938, 292, 17686, 290, 225, 88, 76, 73, 28017, 292, 35522, 445, 13583, 16, 34207, 346, 786, 10316, 609, 720, 7728, 2772, 2960, 18, 225, 1605, 225, 88, 76, 73, 631, 42944, 2217, 4790, 385, 5292, 225, 69, 1162, 2754, 1708, 16, 21882, 385, 1316, 286, 744, 527, 326, 629, 292, 225, 88, 76, 73, 10316, 346, 2967, 3500, 2806, 8275, 325, 225, 88, 76, 73, 556, 49449, 328, 1133, 5218, 34839, 290, 34747, 981, 2110, 1257, 5981, 950, 286, 9323, 527, 325, 2427, 685, 16, 24238, 18, 203, 203, 26725, 286, 225, 88, 76, 73, 640, 1365, 622, 3703, 203, 203, 829, 2494, 23142, 16, 21882, 1981, 3620, 286, 12816, 286, 5770, 291, 225, 88, 76, 73, 14496, 649, 1416, 4162, 19030, 16, 346, 21882, 12515, 286, 1934, 522, 7621, 383, 1482, 1621, 359, 225, 69, 10404, 16970, 9939, 325, 225, 88, 76, 73, 640, 1365, 622, 3703, 857, 961, 10224, 359, 225, 88, 76, 73, 689, 3001, 17, 15685, 6, 5557, 286, 225, 88, 76, 73, 36627, 3703, 3565, 5690, 18, 225, 1507, 225, 88, 76, 73, 640, 1365, 622, 3703, 16, 21882, 3220, 346, 225, 88, 76, 73, 4383, 10404, 16970, 9939, 2212, 29113, 18, 225, 10717, 346, 332, 18, 42, 18, 21157, 16, 21882, 2387, 225, 69, 10404, 16970, 16, 2962, 83, 326, 225, 88, 76, 73, 15103, 2417, 15502, 4108, 292, 8469, 16, 8625, 18, 225, 1099, 1380, 339, 3855, 423, 225, 69, 12656, 2389, 431, 21882, 16, 2962, 83, 644, 3281, 16704, 1257, 2358, 18, 225, 1605, 225, 88, 76, 73, 640, 1365, 622, 5428, 5557, 21903, 359, 279, 14653, 1496, 286, 225, 88, 76, 73, 14496, 649, 1416, 291, 2382, 23142, 16, 2962, 83, 385, 2498, 811, 4924, 286, 640, 18, 4584, 16, 12816, 326, 1310, 325, 225, 88, 76, 73, 36627, 3703, 18, 203 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 203, 25083, 286, 225, 88, 76, 73, 8584, 3703, 203, 12175, 4790, 385, 3168, 785, 286, 9803, 21882, 650, 458, 4415, 423, 522, 14496, 649, 1416, 6737, 16, 290, 325, 2262, 832, 16, 22163, 16, 458, 1837, 633, 3620, 286, 225, 88, 76, 73, 8584, 3703, 325, 522, 4383, 5565, 576, 17, 49756, 14862, 292, 225, 88, 76, 73, 6293, 17955, 10430, 370, 694, 17, 37475, 33081, 16820, 18, 225, 1591, 2217, 4790, 4561, 16, 10404, 1571, 779, 325, 225, 88, 76, 73, 6440, 556, 49449, 328, 4810, 326, 877, 18, 225, 2776, 21882, 644, 652, 7220, 291, 225, 88, 76, 73, 556, 49449, 328, 290, 225, 88, 76, 73, 14496, 649, 1416, 10376, 1074, 7327, 16, 225, 69, 1162, 9686, 644, 4938, 325, 225, 88, 76, 73, 6440, 8584, 18, 225, 557, 23688, 16, 20940, 430, 18, 1078, 2667, 396, 72, 18, 23668, 13, 225, 69, 15690, 6035, 49824, 16, 18830, 16, 9696, 290, 13419, 10404, 16970, 9939, 16, 3459, 12767, 79, 9207, 431, 5036, 423, 781, 308, 91, 368, 4488, 286, 8541, 16, 827, 458, 5292, 633, 517, 1013, 633, 359, 225, 69, 21297, 290, 449, 16, 383, 2070, 7157, 16, 359, 3513, 12656, 18, 225, 3728, 16, 9803, 9763, 1450, 480, 598, 5287, 225, 88, 76, 73, 1308, 15394, 45468, 262, 363, 2049, 290, 8001, 633, 325, 225, 88, 76, 73, 5428, 18, 203, 203, 829, 22163, 21882, 43311, 35414, 18, 225, 21882, 2387, 225, 69, 631, 42944, 16, 43916, 1170, 5327, 16, 1249, 225, 88, 76, 73, 8707, 423, 35414, 573, 643, 431, 857, 643, 658, 4099, 806, 1367, 18, 203, 203, 16787, 291, 225, 88, 76, 73, 3677, 2446, 203, 5997, 1673, 423, 3194, 8584, 3220, 291, 2107, 2446, 314, 573, 2483, 291, 16382, 18, 225, 3011, 13113, 267, 1673, 643, 786, 5053, 16, 874, 21882, 225, 3851, 458, 882, 2801, 427, 8669, 965, 952, 292, 522, 2184, 18, 225, 6466, 16, 21882, 24268, 3194, 5428, 3766, 291, 225, 88, 76, 73, 6707, 3551, 16, 325, 225, 88, 76, 73, 32054, 290, 316, 3460, 293, 12602, 18, 225, 409, 316, 3460, 293, 291, 1935, 385, 291, 225, 69, 2298, 290, 1406, 17, 74, 1960, 10322, 292, 2391, 18, 225, 21882, 385, 449, 225, 88, 76, 73, 770, 554, 292, 225, 88, 76, 73, 1240, 1504, 292, 10404, 16970, 1673, 292, 8541, 286, 3665, 18, 225, 21882, 526, 32896, 16, 2212, 1450, 480, 598, 396, 45354, 1180, 25759, 873, 225, 88, 76, 73, 3198, 292, 522, 2677, 18583, 16, 25528, 290, 1981, 286, 2214, 16, 827, 458, 2154, 554, 292, 770, 2701, 17111, 650, 522, 2913, 385, 34974, 282, 291, 225, 88, 76, 73, 2764, 10805, 18, 203, 203, 13714, 292, 10404, 8226, 325, 225, 88, 76, 73, 6440, 8584, 5428, 203, 203, 521, 3344, 292, 42571, 290, 225, 88, 76, 73, 4087, 33927, 24047, 4835, 431, 225, 88, 76, 73, 2391, 644, 35836, 10404, 28761, 359, 225, 69, 2149, 292, 7478, 325, 225, 88, 76, 73, 6440, 8584, 18, 225, 1591, 21882, 291, 5464, 16, 2861, 285, 4478, 959, 225, 88, 76, 73, 1172, 10404, 16970, 1177, 325, 225, 88, 76, 73, 6440, 8584, 291, 1589, 10754, 16, 10579, 225, 69, 45930, 17, 29314, 14813, 17, 33011, 286, 1127, 225, 69, 6640, 383, 1291, 15491, 16, 573, 650, 2315, 385, 1248, 2110, 286, 1234, 225, 69, 10404, 16970, 286, 1290, 811, 357, 18, 203, 203, 7148, 806, 290, 10180, 203, 35707, 16014, 1100, 7492, 346, 225, 88, 76, 73, 38145, 2151, 325, 522, 2877, 423, 225, 88, 76, 73, 2391, 18, 225, 731, 385, 7631, 9311, 291, 279, 5561, 291, 13237, 16, 3194, 8584, 16, 290, 3904, 291, 225, 69, 4959, 291, 11592, 16, 3194, 8584, 16, 291, 2494, 18672, 18, 225, 1728, 884, 969, 644, 41818, 225, 88, 76, 73, 2218, 2084, 292, 10404, 8226, 291, 225, 88, 76, 73, 19424, 7876, 316, 2821, 423, 26445, 286, 10754, 18, 225, 1294, 4438, 5428, 1010, 596, 644, 1712, 9803, 21882, 928, 292, 950, 30, 689, 2691, 21882, 1059, 596, 882, 1386, 643, 3855, 290, 1059, 596, 4222, 985, 643, 1411, 1736, 2578, 2656, 203, 203, 3591, 568, 203, 10430, 370, 694, 17, 37475, 33081, 18293, 203, 2217, 4790, 396, 334, 1655, 16757, 262, 24238, 13, 203, 3011, 13113, 1538, 292, 225, 88, 76, 73, 6440, 8584, 290, 556, 49449, 328, 15631, 203, 203, 9824, 203, 203, 1758, 7068, 4686, 203, 33225, 5850, 203, 15685, 25636, 203, 9346, 1811, 807, 37541, 203, 5013, 292, 225, 88, 76, 73, 14496, 649, 1416, 4162, 19030, 2, 0, 3111, 285, 314, 78, 4197, 19627, 568, 31299, 4254, 88, 314, 78, 4197, 5507, 318, 225, 69, 4227, 291, 225, 88, 76, 73, 15370, 49976, 291, 225, 88, 76, 73, 4574, 2699, 5202, 346, 279, 1389, 292, 384, 16, 25, 4299, 41541, 1811, 18, 18556, 5699, 2701, 4638, 3620, 292, 15370, 16, 357, 644, 225, 69, 3650, 292, 1025, 9527, 291, 3868, 18, 203, 203, 13403, 203, 3111, 285, 314, 78, 4197, 318, 2558, 18975, 3620, 17, 5448, 292, 15370, 16, 225, 38167, 431, 995, 478, 570, 286, 225, 88, 76, 73, 5898, 290, 995, 478, 570, 3931, 286, 225, 88, 76, 73, 3620, 16, 1397, 285, 10245, 85, 416, 286, 225, 88, 76, 73, 5696, 16, 290, 361, 1894, 89, 286, 225, 88, 76, 73, 3686, 18, 203, 203, 6355, 203, 203, 36166, 18726, 7099, 225, 203, 3111, 285, 314, 78, 4197, 225, 385, 11395, 698, 225, 88, 76, 73, 20711, 8918, 291, 1583, 2419, 346, 479, 292, 22972, 16, 290, 291, 1583, 10266, 357, 4938, 291, 225, 88, 76, 73, 2666, 30514, 359, 961, 291, 225, 88, 76, 73, 18569, 448, 4568, 292, 995, 17, 53, 13049, 291, 225, 88, 76, 73, 492, 9108, 292, 995, 17, 53, 13049, 811, 225, 88, 76, 73, 1565, 292, 4254, 88, 314, 4197, 18, 601, 644, 225, 69, 3650, 292, 1025, 5529, 31, 596, 643, 479, 16824, 18, 1108, 3955, 225, 69, 6503, 1343, 3430, 311, 2666, 17, 20833, 292, 8987, 18, 23, 9, 325, 10834, 1646, 16, 1315, 15557, 16, 34421, 16, 2779, 13947, 16, 11546, 4811, 16, 25398, 16, 5714, 4811, 16, 26525, 290, 17250, 76, 1052, 16, 291, 1408, 286, 13419, 17880, 31 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 225, 69, 2914, 292, 384, 16, 5297, 47000, 8999, 73, 18, 203, 203, 829, 1946, 5831, 6476, 41385, 432, 373, 3249, 357, 4764, 272, 262, 16, 4243, 357, 689, 263, 225, 88, 76, 73, 9951, 286, 225, 88, 76, 73, 5898, 292, 225, 88, 76, 73, 11667, 2656, 203, 203, 829, 38625, 16, 357, 385, 4184, 359, 225, 69, 8784, 225, 4227, 16, 2558, 291, 225, 88, 76, 73, 41589, 37963, 1389, 16, 5696, 292, 15370, 18, 203, 203, 829, 28166, 225, 88, 76, 73, 19059, 42, 526, 11822, 292, 5201, 22972, 396, 11209, 52, 13, 4184, 1397, 285, 314, 28511, 359, 30, 689, 69, 4227, 292, 13401, 2637, 325, 225, 69, 9951, 346, 225, 69, 4618, 383, 629, 5061, 286, 225, 88, 76, 73, 5696, 1556, 203, 203, 12808, 11275, 405, 7099, 203, 829, 225, 88, 76, 73, 18154, 10887, 292, 22972, 6653, 431, 225, 88, 76, 73, 3194, 11275, 405, 7655, 16, 689, 38, 5060, 314, 28511, 6, 644, 225, 69, 3650, 292, 15916, 16824, 16, 22995, 5352, 291, 225, 88, 76, 73, 18189, 10887, 286, 13959, 16824, 16, 291, 2116, 5631, 18, 203, 203, 829, 225, 88, 76, 73, 11577, 9256, 1397, 285, 314, 78, 4197, 644, 225, 69, 3650, 292, 225, 5392, 16824, 16, 346, 225, 69, 2914, 292, 384, 16, 33224, 41541, 1811, 292, 2171, 16, 3060, 286, 279, 3131, 2171, 290, 3650, 5949, 18, 2924, 442, 16, 36390, 1013, 36000, 41541, 1811, 326, 35742, 290, 14964, 337, 545, 2171, 16, 1260, 2905, 326, 43378, 16, 1027, 1188, 41541, 1811, 643, 2387, 17, 406, 396, 28772, 13, 2171, 18, 203, 203, 34075, 666, 7099, 203, 829, 225, 88, 76, 73, 9361, 292, 225, 88, 76, 73, 13499, 6509, 1180, 35344, 2446, 16, 290, 819, 225, 88, 76, 73, 14933, 9121, 472, 525, 45621, 16, 1397, 285, 314, 78, 4197, 1882, 225, 811, 9981, 666, 5686, 18, 203, 203, 521, 9981, 666, 10887, 292, 13356, 1100, 40440, 14382, 291, 1397, 285, 314, 78, 4197, 18, 203, 203, 5956, 11488, 203, 5678, 225, 88, 76, 73, 11554, 17, 10049, 2446, 291, 11488, 16, 1397, 285, 314, 78, 4197, 504, 652, 811, 12525, 15234, 18, 203, 203, 8897, 225, 88, 76, 73, 7601, 26438, 3299, 43759, 16, 1025, 18, 27, 9, 292, 225, 88, 76, 73, 2914, 4227, 1389, 385, 13982, 359, 7649, 361, 16, 290, 225, 88, 76, 73, 6097, 18979, 18, 23, 9, 13982, 359, 7649, 331, 16, 811, 1444, 12525, 1945, 18, 6600, 504, 44905, 2171, 291, 1397, 285, 314, 78, 4197, 326, 19764, 16, 1315, 421, 440, 11, 267, 14992, 11, 2815, 290, 421, 440, 11, 263, 9773, 11, 16357, 14636, 18, 557, 1408, 16, 225, 88, 76, 73, 14439, 2832, 15362, 4353, 1397, 285, 314, 78, 4197, 2171, 16, 4721, 1260, 3819, 41541, 4870, 16, 396, 281, 8821, 18, 21, 9, 292, 225, 88, 76, 73, 2914, 4227, 526, 1389, 873, 2578, 225, 88, 76, 73, 2832, 16, 325, 225, 88, 76, 73, 12525, 1752, 18, 409, 19164, 3848, 292, 225, 88, 76, 73, 2171, 1381, 8413, 325, 12525, 9443, 286, 1496, 519, 2171, 18, 24199, 1539, 318, 770, 8740, 286, 225, 88, 76, 73, 2646, 4372, 16, 1541, 13318, 717, 16, 4721, 624, 6708, 286, 6760, 723, 286, 548, 225, 88, 76, 73, 2171, 18, 2060, 1201, 291, 1397, 285, 314, 78, 4197, 2654, 346, 5786, 325, 479, 5941, 292, 709, 2646, 1966, 286, 5613, 2171, 889, 3644, 587, 431, 6600, 18, 203, 203, 1759, 12365, 203, 56, 560, 6172, 85, 1594, 28514, 1100, 225, 69, 7056, 85, 321, 396, 1485, 12365, 13, 326, 509, 17, 82, 4158, 39550, 397, 16, 325, 225, 69, 3527, 573, 15198, 1397, 285, 314, 78, 4197, 18, 203, 203, 1987, 203, 203, 18008, 4327, 6286, 21246, 15717, 9664, 48532, 396, 25763, 18, 5787, 225, 1946, 774, 1124, 30, 442, 2719, 1397, 285, 314, 78, 4197, 16, 3060, 286, 1890, 12391, 16, 3384, 16, 225, 283, 18, 2682, 3275, 24, 13, 1563, 396, 84, 18, 3059, 3859, 24, 13, 203, 203, 3257, 2477, 203, 9473, 286, 4254, 88, 314, 78, 4197, 203, 12841, 3545, 292, 5201, 22972, 16, 10439, 1946, 30, 225, 314, 8654, 16, 47841, 721, 743, 1563, 4254, 88, 314, 78, 4197, 4227, 396, 49129, 8181, 873, 225, 21367, 4666, 4339, 1180, 25092, 14792, 396, 38358, 46, 13, 6171, 1397, 285, 314, 78, 4197, 4227, 5437, 16, 7688, 45, 46, 203, 1397, 285, 314, 78, 4197, 225, 19116, 1500, 16, 7688, 45, 46, 203, 42145, 1030, 4691, 10923, 788, 290, 21766, 291, 1397, 285, 314, 78, 4197, 16, 7688, 45, 46, 203, 14954, 26442, 203, 203, 23658, 291, 225, 88, 76, 73, 2699, 5202, 203, 25092, 14792, 49976, 2, 0, 521, 5744, 284, 297, 9069, 318, 225, 69, 28239, 35752, 17, 18982, 666, 295, 43292, 10692, 2613, 8772, 291, 225, 88, 76, 73, 40142, 3503, 396, 13814, 371, 10813, 286, 225, 88, 76, 73, 39351, 17, 4577, 4584, 34524, 468, 308, 873, 1155, 5449, 1708, 18, 203, 203, 521, 39742, 8846, 16, 325, 522, 836, 286, 225, 69, 4570, 3492, 383, 38037, 274, 23478, 16, 318, 25008, 2498, 286, 378, 2664, 16, 573, 318, 13785, 431, 41045, 7227, 290, 41045, 7576, 396, 9288, 225, 88, 76, 73, 22162, 409, 5106, 299, 380, 359, 225, 69, 8259, 873, 290, 827, 689, 25531, 299, 20229, 555, 6, 396, 344, 318, 16, 13333, 13, 744, 527, 770, 554, 32718, 396, 19497, 162, 125, 118, 29651, 29293, 37015, 25364, 31520, 13, 292, 798, 18, 203, 203, 829, 554, 4573, 16, 225, 69, 310, 367, 600, 4214, 2245, 689, 44686, 975, 664, 225, 88, 76, 73, 2900, 6, 47080, 291, 5744, 284, 297, 526, 1132, 18, 3059, 4075, 12502, 31952, 1723, 357, 526, 522, 24346, 16531, 18, 203, 203, 41, 1588, 290, 10143, 203, 395, 18, 5250, 83, 16, 689, 52, 15732, 83, 17, 18982, 5738, 16, 5744, 284, 7223, 2995, 291, 24594, 438, 2192, 1844, 28497, 17, 31814, 270, 3271, 503, 368, 6117, 2571, 384, 18, 25567, 30, 9519, 285, 15225, 1623, 10697, 7025, 18, 6128, 728, 1428, 1623, 1105, 900, 567, 19230, 438, 2192, 16, 10945, 31, 12357, 18, 10908, 17, 12721, 18, 203, 361, 18, 26669, 16, 5744, 284, 297, 16 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 3826, 22213, 346, 21228, 290, 48814, 18, 11471, 30, 13491, 2361, 1495, 5362, 16, 9483, 18, 203, 1294, 263, 355, 9912, 30900, 555, 378, 295, 4594, 5744, 284, 297, 16, 4761, 105, 2815, 30, 1554, 77, 82, 27870, 62, 56, 41898, 54, 47, 16, 38865, 19988, 30, 7093, 5874, 77, 44163, 13098, 82, 8963, 13098, 16, 1920, 18, 203, 203, 3591, 568, 203, 409, 5525, 4202, 308, 388, 428, 29395, 298, 438, 567, 431, 6832, 666, 203, 18393, 20668, 11, 17115, 286, 378, 2664, 396, 18539, 28239, 13, 203, 203, 1987, 203, 556, 3239, 468, 293, 16, 332, 2562, 12713, 270, 1486, 291, 24594, 438, 1795, 30, 409, 28482, 587, 292, 7417, 24619, 290, 225, 88, 76, 73, 31921, 292, 225, 88, 76, 73, 24544, 26885, 18, 10870, 30, 331, 16226, 16, 3486, 31, 12357, 18, 3498, 26, 17, 4309, 23, 18, 203, 430, 78, 308, 12835, 16, 689, 521, 5744, 284, 297, 30, 14482, 454, 225, 69, 26470, 3624, 36640, 2995, 291, 363, 18, 15281, 281, 3421, 396, 282, 16792, 3523, 2245, 271, 579, 11764, 486, 2215, 1080, 88, 17565, 1134, 28239, 30, 1254, 9177, 476, 509, 225, 88, 438, 9882, 3798, 3212, 25047, 6700, 18, 5438, 30, 18827, 33862, 697, 289, 947, 272, 225, 19691, 9970, 509, 15193, 1670, 272, 16, 5563, 294, 352, 19691, 9970, 24594, 438, 2308, 16, 309, 1812, 83, 17, 31814, 20359, 4005, 1844, 266, 457, 17, 386, 310, 14363, 1812, 270, 975, 396, 40, 1441, 5199, 431, 94, 438, 1448, 16, 2103, 18, 1148, 16, 21423, 859, 203, 14134, 24677, 261, 16, 332, 18, 290, 332, 18, 1967, 31162, 17, 13345, 8116, 16, 10415, 291, 28239, 10669, 291, 225, 88, 76, 73, 11100, 20770, 290, 2661, 32858, 1645, 5038, 18, 17651, 290, 5511, 5894, 30, 1495, 292, 3470, 5362, 16, 5969, 31, 12357, 18, 43276, 32293, 18, 203, 203, 3462, 94, 18780, 8049, 203, 1996, 88, 76, 17, 4577, 2929, 2, 0, 59, 700, 577, 3166, 20581, 10858, 13, 318, 225, 69, 4497, 3702, 596, 2483, 4067, 383, 225, 88, 76, 73, 2184, 292, 797, 17, 387, 17, 69, 17, 18127, 18, 2325, 548, 385, 17167, 291, 3671, 650, 780, 385, 1560, 16, 4938, 325, 225, 69, 31584, 12142, 650, 780, 385, 3815, 16, 290, 780, 644, 225, 69, 7182, 6821, 383, 225, 69, 5977, 291, 3023, 650, 780, 385, 22677, 16, 290, 2415, 819, 16, 383, 225, 88, 76, 73, 11835, 351, 18, 47492, 2268, 7940, 383, 225, 88, 76, 73, 35398, 25897, 16, 291, 225, 69, 7950, 11864, 6331, 431, 225, 88, 76, 73, 13237, 17, 2598, 6021, 4680, 292, 2398, 291, 9734, 2086, 16, 10472, 18, 409, 47492, 2268, 11864, 2765, 225, 69, 4067, 1772, 650, 780, 385, 1220, 9430, 689, 47, 17631, 1556, 203, 203, 3462, 225, 88, 76, 73, 595, 780, 385, 22576, 16, 2701, 1046, 2929, 644, 652, 3055, 581, 16973, 577, 3166, 18, 1108, 2705, 225, 88, 76, 73, 1806, 292, 279, 17356, 2448, 596, 3719, 286, 5417, 32728, 16, 8634, 19144, 16, 290, 9420, 16, 290, 596, 5789, 698, 225, 69, 1004, 17, 34688, 1840, 6840, 596, 8748, 359, 44509, 292, 225, 88, 76, 73, 35398, 8218, 633, 1582, 2089, 7353, 290, 5879, 346, 633, 9868, 7726, 18, 203, 203, 59, 700, 577, 3166, 568, 17167, 291, 4681, 290, 5789, 286, 1246, 345, 1868, 291, 633, 3960, 6840, 806, 18, 2594, 1255, 225, 88, 76, 73, 3911, 3162, 290, 4499, 225, 69, 11357, 286, 2621, 953, 291, 4681, 16, 291, 7196, 2483, 286, 2621, 953, 383, 225, 88, 76, 73, 5029, 292, 12536, 4950, 17743, 18, 1236, 504, 644, 798, 14190, 291, 4681, 1364, 7196, 16, 1315, 383, 6535, 14909, 23972, 6491, 18, 203, 203, 4290, 318, 4308, 286, 9036, 19325, 4019, 17, 261, 18, 203, 203, 1987, 203, 203, 3257, 2477, 203, 59, 700, 577, 3166, 203, 203, 33499, 423, 25827, 20558, 203, 6004, 717, 203, 22157, 4686, 203, 20278, 93, 292, 12536, 4950, 16, 17743, 7692, 203, 5013, 423, 2167, 44360, 203, 24190, 3852, 2, 0, 16177, 6949, 378, 575, 396, 8209, 1136, 16, 15360, 696, 2209, 4600, 16, 7752, 13, 385, 279, 1644, 13749, 14840, 290, 15783, 596, 318, 6951, 286, 427, 19025, 1560, 1778, 291, 290, 1060, 4223, 15146, 981, 522, 6658, 291, 10708, 18, 731, 385, 17728, 292, 6958, 277, 1220, 292, 624, 16, 290, 449, 3459, 286, 4972, 325, 225, 88, 76, 73, 5837, 18, 731, 385, 12328, 431, 225, 88, 76, 73, 1627, 292, 7271, 291, 225, 88, 76, 73, 4180, 5309, 18, 203, 203, 18552, 3370, 203, 829, 10708, 16, 16772, 16, 7271, 385, 22146, 225, 69, 8293, 292, 25371, 292, 1778, 18, 11605, 13318, 2660, 1778, 644, 652, 5588, 431, 225, 69, 30569, 1258, 32524, 225, 88, 76, 73, 9371, 277, 3012, 43401, 18, 557, 1408, 16, 225, 88, 76, 73, 6787, 292, 797, 1840, 2532, 2762, 4540, 644, 652, 1100, 2573, 292, 5218, 3571, 636, 6665, 18, 203, 203, 521, 38995, 3074, 292, 9494, 643, 7847, 431, 225, 69, 4964, 286, 225, 88, 76, 73, 1491, 4060, 6715, 3055, 325, 1851, 2198, 5349, 37005, 18, 409, 40296, 3639, 41463, 286, 339, 423, 225, 69, 11449, 292, 4266, 2660, 1673, 596, 643, 5736, 225, 69, 2532, 3259, 36648, 290, 703, 6719, 633, 691, 225, 88, 76, 73, 9371, 277, 3012, 43401, 643, 449, 3698, 50202, 18, 409, 9371, 277, 3012, 43401, 385, 6951, 286, 339, 225, 69, 2532, 563, 16, 290, 442, 644, 652, 7303, 4001, 383, 225, 88, 76, 73, 595, 18, 203, 203, 521, 4266, 2660, 35721, 272, 17605, 286, 339, 1712, 359, 225, 88, 76, 73, 689, 1905, 1437, 292, 23618, 2995, 290, 2421, 225, 88, 76, 73, 4060, 6715, 286, 7418, 346, 624, 2726, 6566, 325, 4824, 388, 4239, 18, 409, 724, 4964, 385, 3938, 431, 1761, 31, 4619, 16, 225, 69, 27307, 3890, 292, 1175, 1537, 16, 1318, 385, 568, 959, 286, 1209, 225, 88, 76, 73, 10037, 36648, 16, 36675, 7472, 16, 8207, 18, 396, 32801, 385, 568, 1712, 359, 32878, 36675, 21098, 2284, 290, 609, 23405, 2224, 3155, 409, 7566, 643, 3938, 431, 2773, 4914, 18, 203, 203, 521, 7566, 290, 4914, 643, 225, 69, 49961, 5984, 286, 42824, 2949, 423, 225, 88 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 76, 73, 1229, 14840, 18, 36675, 7472, 16, 225, 88, 76, 73, 6536, 36648, 16, 644, 652, 19025, 2176, 2754, 981, 780, 385, 1100, 16, 290, 981, 225, 88, 76, 73, 724, 4964, 385, 2632, 18, 2325, 1657, 385, 5476, 291, 1846, 2355, 10708, 18, 225, 1236, 385, 2967, 806, 1367, 18, 13963, 22893, 16, 1737, 6918, 291, 2162, 1378, 1015, 423, 225, 88, 76, 73, 689, 1905, 1437, 292, 23618, 2995, 225, 69, 1361, 2532, 3259, 526, 1657, 385, 1100, 383, 225, 69, 18346, 2080, 383, 5218, 3571, 636, 18, 225, 2325, 1565, 385, 32374, 364, 9207, 2201, 18, 1236, 385, 7410, 18, 203, 203, 42, 9509, 1096, 10681, 5358, 556, 18, 395, 49668, 2267, 225, 69, 5437, 573, 34609, 345, 225, 88, 76, 73, 14840, 385, 554, 563, 16, 449, 4266, 31, 2532, 16, 449, 2660, 31, 2013, 16, 449, 761, 17, 38676, 16, 290, 2613, 225, 69, 2110, 17, 38707, 4223, 563, 383, 225, 88, 76, 73, 4033, 291, 522, 2775, 36874, 18, 203, 203, 10464, 225, 88, 76, 73, 5437, 290, 3293, 345, 1119, 7472, 290, 364, 9207, 2201, 643, 49222, 16, 7271, 12146, 292, 29867, 7106, 19834, 1689, 225, 88, 76, 73, 4033, 326, 8411, 573, 644, 4176, 2532, 20390, 18, 1108, 643, 2678, 1316, 286, 5095, 5169, 378, 575, 290, 6658, 950, 18, 225, 731, 385, 225, 69, 17733, 396, 41, 17, 24, 13, 7341, 286, 279, 21895, 4411, 383, 225, 88, 76, 73, 4033, 359, 225, 69, 6279, 5380, 18, 378, 575, 644, 10963, 522, 4223, 2269, 359, 225, 69, 11212, 981, 7171, 225, 88, 76, 73, 5349, 18, 203, 203, 1989, 23975, 346, 4840, 1315, 522, 40047, 16, 3857, 11974, 16, 290, 12334, 11487, 423, 225, 88, 76, 73, 7284, 7825, 16, 378, 575, 37016, 286, 9990, 1119, 1778, 290, 286, 225, 88, 76, 73, 9990, 292, 225, 69, 2630, 3259, 383, 5218, 3571, 636, 291, 2427, 11086, 18, 15144, 33303, 1010, 16, 2357, 16, 385, 225, 69, 2660, 5349, 2879, 1712, 286, 2777, 2532, 8931, 290, 36525, 291, 2532, 28689, 18, 378, 575, 385, 449, 7633, 346, 33303, 1010, 526, 6958, 291, 225, 88, 76, 73, 18890, 1056, 16, 517, 385, 7633, 16, 3867, 16, 290, 17728, 431, 225, 69, 3696, 15154, 326, 633, 2371, 18, 203, 203, 32700, 16, 378, 575, 385, 568, 6884, 359, 225, 88, 76, 73, 14840, 292, 225, 69, 1840, 2532, 3259, 383, 5218, 16384, 16394, 291, 9880, 18, 378, 575, 385, 449, 7633, 346, 442, 6958, 18, 203, 203, 5632, 16, 5200, 522, 1560, 1712, 4755, 24904, 16, 458, 385, 17356, 292, 225, 88, 76, 73, 9371, 277, 3012, 43401, 25371, 16, 4619, 16686, 286, 1378, 2532, 563, 16, 33912, 12322, 18, 203, 203, 19207, 10857, 203, 378, 575, 385, 17728, 291, 225, 69, 4223, 3696, 16, 517, 449, 3867, 291, 18890, 10857, 16, 326, 225, 88, 76, 73, 6958, 292, 32374, 364, 9207, 2201, 18, 203, 378, 575, 385, 568, 3867, 290, 17728, 291, 225, 69, 3696, 15154, 16, 517, 449, 225, 69, 18890, 3696, 16, 326, 225, 88, 76, 73, 6958, 292, 15144, 33303, 1010, 18, 203, 4150, 522, 3696, 15154, 326, 225, 88, 76, 73, 6958, 292, 32374, 364, 9207, 2201, 16, 378, 575, 2524, 225, 69, 969, 10574, 573, 385, 25467, 650, 11287, 816, 2891, 458, 24846, 225, 88, 76, 73, 4613, 4767, 326, 673, 1573, 3362, 18, 203, 1078, 225, 88, 76, 73, 5850, 292, 1119, 33303, 1010, 290, 364, 9207, 2201, 16, 378, 575, 526, 2243, 3696, 15154, 10574, 385, 969, 383, 1406, 5418, 18, 225, 409, 33272, 643, 917, 8020, 291, 6336, 290, 458, 385, 449, 9680, 920, 431, 225, 88, 76, 73, 4223, 3696, 1056, 18, 203, 203, 29719, 666, 10857, 203, 378, 575, 414, 18, 2361, 16, 2357, 25, 16768, 18, 1188, 7055, 16, 3538, 28, 319, 18, 41, 18, 22, 72, 685, 5858, 16, 3576, 18, 13010, 16, 832, 5932, 528, 18, 55, 18, 1136, 12125, 16, 14935, 319, 18, 39, 88, 18, 1148, 10266, 16, 14852, 411, 18, 7161, 18, 22, 72, 1025, 2288, 396, 15929, 859, 557, 442, 1715, 16, 378, 575, 526, 19314, 290, 10574, 292, 2371, 291, 225, 88, 76, 73, 7472, 6958, 643, 37999, 431, 225, 88, 76, 73, 7271, 9447, 4368, 18, 225, 409, 364, 9207, 2201, 6958, 318, 568, 2765, 291, 225, 88, 76, 73, 4368, 526, 8094, 342, 292, 225, 88, 76, 73, 8089, 18, 203, 378, 575, 414, 18, 1343, 438, 16, 6049, 26, 528, 18, 55, 18, 1260, 5210, 16, 25689, 319, 18, 39, 88, 18, 452, 6427, 16, 13366, 411, 18, 7161, 18, 22, 72, 10908, 21, 396, 20684, 859, 409, 1851, 2198, 9447, 4368, 13010, 3576, 1409, 2829, 291, 378, 575, 526, 4789, 34571, 42794, 5610, 291, 225, 88, 76, 73, 7472, 6958, 18, 6171, 5169, 6949, 378, 575, 16, 4553, 584, 262, 16, 414, 18, 13475, 389, 18, 1343, 438, 16, 374, 3292, 16, 7271, 26311, 14479, 1009, 41018, 2916, 16, 36752, 300, 1851, 2198, 4368, 292, 27579, 16, 11100, 20770, 17865, 18, 1025, 10266, 393, 18, 22, 72, 1260, 3475, 16, 3576, 18, 13010, 16, 11795, 23, 528, 18, 55, 18, 1519, 1537, 16, 26821, 319, 18, 39, 88, 18, 5742, 5601, 16, 17333, 411, 18, 7161, 18, 22, 72, 2272, 13141, 396, 20345, 859, 1979, 225, 88, 76, 73, 528, 18, 55, 18, 9447, 4368, 15087, 286, 1696, 522, 724, 4789, 34571, 15330, 291, 225, 88, 76, 73, 7472, 1715, 291, 10201, 16, 225, 88, 76, 73, 5620, 37819, 405, 3696, 326, 225, 88, 76, 73, 1814, 88, 76, 17865, 16, 573, 2626, 7271, 16, 37999, 378, 575, 526, 19314, 517, 7392, 225, 69, 9680, 463, 292, 225, 88, 76, 73, 42565, 3232, 952, 225, 88, 76, 73, 30521, 526, 8899, 9949, 18772, 225, 88, 76, 73, 42565, 25806, 23877, 19012, 16, 290, 952, 797, 11287, 816, 643, 44642, 22008, 291, 18283, 292, 1591, 366, 19727, 414, 18, 8073, 16, 225, 69, 1715, 581, 34448, 4047, 286, 15291, 1592, 4160, 519, 2371, 12338, 11365, 18, 409, 5620, 37819, 405, 3696, 4477, 7392, 225, 88, 76, 73, 1627, 3696, 1056, 286, 1369, 225, 69, 631, 16, 543, 3492, 16, 42565, 6652, 4972, 326, 225, 88 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 76, 73, 6958, 292, 7472, 18, 203, 378, 575, 414, 18, 2361, 16, 2399, 24, 16768, 18, 848, 4946, 16, 685, 6011, 319, 18, 41, 18, 22, 72, 3436, 27, 16, 3576, 18, 13010, 16, 832, 10559, 528, 18, 55, 18, 1136, 5831, 16, 27738, 319, 18, 39, 88, 18, 4099, 26, 16, 16927, 411, 18, 7161, 18, 22, 72, 848, 13041, 396, 19677, 859, 225, 1979, 225, 69, 1361, 42565, 4972, 9144, 291, 1378, 2371, 10574, 326, 225, 88, 76, 73, 6958, 292, 7472, 16, 225, 88, 76, 73, 7271, 9447, 4368, 37999, 225, 88, 76, 73, 2371, 10574, 18, 203, 378, 575, 10511, 1378, 15330, 326, 4789, 34571, 42794, 291, 225, 88, 76, 73, 21410, 4368, 292, 1218, 375, 2307, 16, 573, 318, 225, 69, 7271, 1627, 4972, 3696, 18, 225, 1666, 3696, 13010, 522, 15330, 819, 5736, 279, 12435, 49169, 6077, 18, 203, 378, 575, 414, 18, 34971, 16, 2399, 28, 16768, 18, 1025, 5932, 16, 9727, 23, 319, 18, 41, 18, 22, 72, 1124, 24, 396, 18988, 873, 3576, 18, 13010, 16, 832, 4979, 528, 18, 55, 18, 1136, 1996, 16, 30875, 319, 18, 39, 88, 18, 1958, 7096, 16, 26847, 411, 18, 7161, 18, 22, 72, 46745, 396, 18313, 13, 409, 7271, 9447, 4368, 37999, 225, 88, 76, 73, 25509, 292, 4789, 34571, 42794, 431, 225, 88, 76, 73, 21410, 4368, 292, 1218, 375, 2307, 16, 290, 291, 8694, 16, 225, 88, 76, 73, 528, 18, 55, 18, 9447, 4368, 10973, 286, 1696, 522, 5610, 292, 225, 88, 76, 73, 8973, 7271, 9447, 4368, 14209, 18, 203, 1979, 225, 88, 76, 73, 7271, 9447, 4368, 37999, 225, 88, 76, 73, 25509, 292, 4789, 34571, 42794, 431, 225, 88, 76, 73, 21410, 4368, 292, 1218, 375, 2307, 291, 8973, 16, 378, 575, 857, 10511, 225, 69, 631, 15330, 326, 4789, 34571, 42794, 291, 225, 88, 76, 73, 5620, 4010, 4368, 326, 225, 88, 76, 73, 6707, 4010, 292, 7271, 31, 345, 3696, 13010, 225, 88, 76, 73, 15330, 1342, 5736, 279, 12435, 49169, 6077, 18, 225, 378, 575, 857, 27723, 286, 225, 88, 76, 73, 5620, 37819, 405, 3696, 326, 225, 88, 76, 73, 1814, 88, 76, 17865, 16, 573, 2891, 225, 88, 76, 73, 1715, 291, 2494, 16, 8169, 18, 6171, 5169, 6949, 378, 575, 16, 4553, 584, 262, 17, 495, 468, 438, 16, 414, 18, 13475, 1343, 438, 16, 374, 3292, 16, 7271, 26311, 14479, 954, 41018, 2916, 16, 36752, 300, 17, 495, 5477, 73, 1851, 2198, 4368, 292, 27579, 16, 11100, 20770, 17865, 18, 1260, 13604, 393, 18, 22, 72, 377, 24476, 396, 5902, 18, 1025, 16, 8169, 859, 43849, 7790, 290, 43849, 7790, 2433, 49274, 4901, 920, 2209, 1814, 16, 8169, 18, 225, 557, 225, 69, 6502, 5090, 1374, 16, 225, 69, 5929, 292, 225, 88, 76, 73, 5620, 37819, 405, 3696, 291, 225, 88, 76, 73, 1814, 88, 76, 17865, 13010, 378, 575, 526, 4789, 34571, 5610, 291, 225, 88, 76, 73, 7472, 6958, 16, 290, 13010, 950, 225, 88, 76, 73, 2516, 286, 1552, 522, 1715, 286, 225, 88, 76, 73, 1444, 37819, 405, 9183, 396, 47818, 292, 225, 88, 76, 73, 5929, 859, 203, 203, 1893, 14981, 203, 44, 575, 385, 19061, 286, 2371, 291, 18890, 3696, 326, 225, 88, 76, 73, 6958, 292, 36675, 7472, 290, 19061, 286, 969, 291, 6442, 291, 4223, 3696, 326, 225, 88, 76, 73, 2371, 292, 32374, 364, 9207, 2201, 18, 1728, 4223, 969, 10574, 326, 364, 9207, 2201, 385, 40705, 18, 1728, 18890, 2371, 10574, 326, 7472, 385, 449, 18, 731, 385, 12328, 431, 225, 88, 76, 73, 1627, 292, 7271, 325, 2209, 4600, 16, 7752, 16, 2726, 225, 88, 76, 73, 4180, 5309, 18, 731, 385, 225, 88, 76, 73, 3275, 21, 334, 44889, 12328, 14342, 1364, 225, 88, 76, 73, 528, 18, 55, 18, 9447, 4368, 12501, 225, 88, 76, 73, 2371, 12338, 291, 10687, 290, 225, 88, 76, 73, 1124, 88, 76, 291, 7271, 18, 203, 203, 829, 225, 88, 76, 73, 2021, 981, 522, 2371, 16, 225, 88, 76, 73, 9447, 4368, 11307, 16, 1025, 1180, 23, 16, 449, 286, 1425, 522, 5610, 18, 225, 557, 49923, 16, 8381, 9560, 3260, 20854, 928, 345, 874, 691, 458, 644, 449, 3077, 203, 203, 44, 575, 644, 279, 29476, 292, 8451, 17, 8950, 2697, 16, 573, 1284, 8223, 950, 359, 689, 29913, 945, 11020, 13160, 6, 325, 2875, 3009, 17127, 292, 4613, 48160, 342, 18, 203, 203, 3286, 49801, 203, 5962, 2148, 13374, 378, 575, 526, 4613, 290, 28976, 4709, 644, 2267, 16908, 2922, 286, 225, 88, 76, 73, 927, 292, 522, 13148, 8535, 297, 16, 290, 554, 1641, 88, 76, 73, 2537, 292, 13784, 17403, 291, 225, 88, 76, 73, 1627, 42565, 15291, 1641, 336, 18239, 26574, 12534, 18, 409, 7271, 2361, 4119, 292, 363, 454, 743, 290, 2407, 6757, 644, 449, 874, 7446, 1160, 709, 1374, 26380, 522, 2037, 292, 10843, 16, 290, 1368, 22213, 357, 346, 1378, 3235, 581, 629, 609, 23966, 18, 409, 7271, 9447, 4368, 13010, 522, 5610, 431, 770, 554, 6158, 16, 832, 1180, 23, 18, 203, 203, 3134, 292, 522, 11287, 816, 383, 522, 1361, 42565, 396, 9456, 225, 88, 76, 73, 724, 385, 25467, 326, 18113, 89, 6615, 33902, 873, 225, 69, 2660, 3259, 3249, 24483, 10949, 328, 16, 1882, 2540, 286, 1891, 345, 609, 11287, 816, 959, 13784, 19127, 581, 378, 575, 955, 359, 689, 3443, 554, 543, 9905, 309, 23912, 345, 786, 554, 703, 2362, 6, 290, 16, 691, 12328, 16, 458, 703, 339, 689, 582, 1490, 309, 23912, 286, 11440, 1556, 203, 203, 1926, 385, 770, 554, 2532, 11287, 281, 16, 225, 69, 3538, 17, 2996, 17, 765, 3259, 3249, 15820, 296, 10071, 30205, 18, 5502, 286, 10949, 328, 16, 30205, 385, 22792, 286, 13784, 291, 315, 977, 437, 291, 225, 88, 76, 73, 15291, 1628, 18, 5502, 286, 1119, 10949, 328, 290, 30205, 6200, 16, 30205, 10973, 286, 6158, 326, 225, 88, 76, 73, 2371, 12338, 18, 409, 609, 11287, 816, 14967, 633, 290, 4001, 286, 225, 88, 76, 73, 8259, 345, 544, 643, 33234, 18, 1605, 225, 88, 76, 73, 15291, 385, 1115, 1047, 291, 225, 88, 76, 73, 4933, 292 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 225, 88, 76, 73, 3696, 16, 30205, 385, 431, 857, 1248, 31889, 286, 2837, 527, 18, 409, 609, 11287, 816, 644, 2705, 633, 345, 780, 882, 339, 17728, 292, 619, 78, 1384, 691, 780, 3838, 286, 1914, 524, 16, 1364, 780, 644, 34068, 16, 1154, 15291, 4555, 16, 345, 780, 882, 6158, 326, 225, 88, 76, 73, 2371, 12338, 18, 203, 203, 521, 4840, 292, 10949, 328, 290, 30205, 524, 34984, 798, 2274, 14633, 18, 225, 26389, 554, 8450, 12534, 16, 1563, 203, 2598, 225, 69, 1690, 1204, 4975, 225, 88, 76, 73, 1737, 602, 16, 8385, 22419, 478, 18, 16841, 480, 5586, 383, 629, 4980, 522, 6237, 345, 378, 575, 526, 3593, 10057, 286, 225, 88, 76, 73, 10574, 18, 203, 203, 829, 2220, 3354, 203, 44, 575, 385, 18105, 431, 32901, 10498, 291, 225, 88, 76, 73, 1361, 1569, 292, 225, 88, 76, 73, 12253, 1909, 16, 9551, 24050, 350, 18, 203, 203, 3591, 568, 203, 5174, 292, 717, 12328, 291, 7271, 396, 57, 18, 55, 18, 1627, 13, 203, 5174, 292, 13749, 35433, 291, 225, 88, 76, 73, 1851, 2198, 203, 203, 1987, 203, 203, 28515, 4686, 203, 22058, 25371, 291, 225, 88, 76, 73, 1851, 2198, 203, 16810, 5850, 203, 825, 88, 76, 17, 4577, 47612, 431, 7271, 396, 57, 18, 55, 18, 1627, 13, 203, 825, 88, 76, 17, 4577, 47612, 292, 1644, 717, 203, 4387, 717, 17728, 292, 6958, 203, 8663, 1847, 1584, 2762, 4540, 291, 225, 88, 76, 73, 1851, 2198, 203, 1893, 26327, 4958, 17, 4387, 717, 203, 1893, 26327, 1644, 13749, 35433, 203, 22934, 13749, 35433, 203, 5013, 17728, 292, 6958, 431, 7271, 396, 57, 18, 55, 18, 1627, 13, 203, 5013, 17728, 292, 6958, 431, 225, 88, 76, 73, 1851, 2198, 4223, 203, 5013, 12328, 431, 7271, 396, 57, 18, 55, 18, 1627, 13, 431, 4180, 5309, 203, 5013, 12328, 326, 6958, 203, 6260, 2284, 366, 19061, 286, 969, 27133, 431, 225, 88, 76, 73, 1851, 2198, 4223, 203, 54, 36123, 49961, 272, 203, 11871, 2198, 5349, 7765, 596, 643, 3696, 17, 14968, 463, 282, 203, 11871, 2198, 5349, 8931, 203, 11871, 2198, 28825, 2, 0, 521, 1851, 6248, 1925, 16229, 385, 279, 5650, 47936, 3163, 17309, 16, 3178, 291, 15556, 431, 225, 88, 76, 73, 20688, 10765, 1461, 22290, 3721, 396, 5228, 3787, 859, 203, 203, 521, 1925, 16229, 34934, 396, 29245, 1740, 225, 88, 76, 73, 689, 30600, 16229, 6, 388, 689, 18515, 6091, 9530, 385, 2513, 2498, 383, 2184, 1958, 18, 10833, 291, 1040, 3508, 385, 33667, 359, 30, 45503, 16, 7103, 16, 9777, 388, 13385, 11694, 18, 7773, 644, 286, 4715, 2701, 9609, 16, 1315, 2764, 290, 21245, 16, 286, 3681, 225, 69, 9767, 18, 1542, 3681, 225, 69, 689, 16951, 1232, 1990, 28696, 6, 554, 644, 286, 3681, 383, 2070, 225, 69, 3410, 291, 2176, 8591, 16, 1315, 2764, 16, 21245, 16, 4860, 290, 225, 69, 3162, 18, 7105, 596, 6449, 882, 307, 922, 225, 88, 76, 73, 10920, 18, 2591, 1463, 596, 4361, 857, 8669, 325, 383, 1204, 286, 949, 225, 88, 76, 73, 16173, 1925, 16229, 396, 29245, 1740, 225, 88, 76, 73, 689, 20138, 16229, 6, 388, 689, 22768, 6091, 9530, 383, 2184, 1124, 18, 203, 203, 521, 1925, 16229, 385, 30621, 819, 225, 88, 76, 73, 421, 6633, 453, 17, 20677, 385, 4974, 291, 15360, 18, 409, 1925, 16229, 568, 13659, 291, 225, 69, 1319, 292, 15435, 3317, 955, 359, 3610, 290, 8157, 383, 1952, 1631, 18, 203, 203, 3591, 568, 203, 1925, 16229, 396, 22210, 13, 203, 1925, 16229, 396, 3532, 5911, 13, 203, 1925, 16229, 396, 43159, 285, 4925, 13, 203, 1925, 16229, 774, 4168, 17474, 30, 33273, 16, 225, 12047, 203, 16173, 1925, 16229, 396, 11871, 6248, 13, 203, 421, 6633, 44047, 9765, 396, 11705, 13, 396, 51, 17, 20677, 13, 203, 421, 6633, 44047, 9765, 396, 11871, 6248, 13, 203, 10870, 3211, 44047, 9765, 396, 36059, 13, 203, 10870, 3211, 453, 17, 20677, 8591, 203, 16229, 292, 20688, 4582, 396, 39, 7084, 13, 203, 16229, 292, 20688, 4582, 396, 11871, 6248, 13, 396, 39, 7084, 13, 203, 4138, 16229, 292, 20688, 4582, 396, 16962, 7084, 873, 573, 6096, 225, 88, 76, 73, 453, 17, 20677, 87, 290, 331, 7084, 203, 3211, 4138, 16229, 292, 20688, 4582, 396, 5474, 39, 7084, 873, 573, 318, 3884, 346, 388, 3043, 292, 453, 17, 20677, 87, 11860, 203, 4138, 16229, 292, 4582, 396, 43, 6633, 873, 573, 17381, 453, 17, 20677, 87, 290, 332, 17, 7285, 87, 203, 203, 1987, 203, 203, 27379, 16912, 291, 225, 88, 76, 73, 1851, 6248, 2, 0, 38333, 6516, 600, 5477, 4254, 9069, 318, 225, 69, 1240, 2364, 10002, 383, 225, 88, 76, 73, 1357, 292, 9023, 284, 10661, 22189, 325, 17954, 18165, 291, 1063, 5911, 18, 2361, 11012, 8451, 9609, 754, 225, 88, 76, 73, 2364, 18, 409, 1507, 560, 73, 18165, 28372, 10245, 6516, 600, 5477, 11782, 423, 15196, 526, 4254, 18, 203, 203, 38333, 6516, 600, 5477, 318, 915, 641, 292, 31998, 2086, 3721, 17897, 1364, 225, 88, 76, 73, 1830, 526, 30552, 22713, 346, 17954, 18165, 4010, 291, 4109, 18, 2952, 17007, 1535, 8694, 16, 10245, 6516, 600, 5477, 385, 225, 88, 76, 73, 5457, 292, 225, 88, 76, 73, 9023, 284, 10661, 2307, 3721, 18, 203, 203, 6355, 203, 521, 1637, 292, 279, 6306, 34946, 283, 7720, 388, 35335, 9513, 318, 383, 453, 77, 82, 24295, 16, 827, 225, 88, 76, 73, 10245, 6516, 600, 5477, 7174, 6606, 1660, 18, 1456, 2228, 1967, 284, 893, 22946, 16, 225, 69, 225, 88, 893, 69, 388, 2391, 2839, 292, 22428, 7720, 2018, 332, 9108, 25098, 49040, 1154, 225, 88, 76, 73, 14012, 3119, 431, 2228, 11798, 406, 284, 9431, 291, 42802, 18, 203, 203, 521, 1565, 292, 225, 88, 76, 73, 2364, 290, 11782, 1822, 423, 225, 88, 76, 73, 17731, 292, 797, 9127, 36701, 17, 7552, 77, 82, 290, 5348, 17, 44000, 10245, 6516, 600, 5477, 16, 596, 2404, 2171, 660, 423, 225, 88, 76, 73, 16093, 273, 17, 38, 682, 7060, 814, 4108, 16, 383, 225, 88, 76, 73, 595, 292, 225, 88, 76, 73, 3395, 9513, 383, 9023, 284, 10661, 291, 225, 88 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 76, 73, 27453, 87, 18, 557, 225, 88, 76, 73, 1737, 7134, 16, 2171, 6300, 10245, 6516, 600, 5477, 4254, 385, 30110, 423, 225, 88, 76, 73, 26632, 3693, 431, 3194, 22344, 16, 1315, 5169, 38179, 12622, 16, 596, 385, 225, 88, 76, 73, 3845, 292, 6130, 4426, 12622, 16, 225, 88, 76, 73, 4383, 15783, 290, 15180, 16261, 16, 1712, 359, 689, 42898, 292, 44602, 273, 410, 6, 819, 522, 2371, 18, 409, 724, 1324, 3171, 87, 643, 5287, 291, 31239, 31, 4087, 3754, 385, 4632, 325, 14611, 18809, 290, 2897, 277, 16, 4794, 286, 2492, 69, 4811, 18, 27724, 23047, 643, 648, 10753, 291, 225, 88, 76, 73, 5407, 16, 596, 44892, 1047, 346, 225, 88, 76, 73, 49066, 23047, 345, 643, 1850, 1552, 18, 1099, 225, 88, 76, 73, 4435, 1702, 385, 15200, 16, 357, 385, 6096, 346, 31217, 18, 409, 724, 6619, 2268, 383, 225, 88, 76, 73, 5900, 292, 225, 88, 76, 73, 4254, 16, 225, 88, 76, 73, 3053, 292, 225, 88, 76, 73, 1552, 2364, 16, 385, 225, 69, 3395, 1010, 1740, 12667, 30644, 16, 596, 5459, 291, 37779, 18, 26206, 23965, 385, 568, 225, 88, 76, 73, 1179, 3754, 16, 359, 761, 359, 5499, 1848, 18, 409, 2897, 82, 14611, 385, 479, 5642, 524, 292, 225, 88, 76, 73, 11782, 431, 9432, 2387, 12259, 18, 332, 1502, 1577, 290, 225, 69, 2233, 643, 2387, 291, 225, 88, 76, 73, 23456, 87, 18, 332, 1240, 1848, 345, 3220, 359, 1119, 3042, 290, 1204, 385, 2387, 431, 1491, 717, 325, 225, 69, 2333, 17, 15066, 7913, 292, 2171, 11558, 431, 5528, 411, 5917, 11993, 1077, 18, 409, 724, 7428, 8268, 2483, 286, 339, 8568, 291, 225, 88, 76, 73, 22461, 87, 290, 29268, 2897, 225, 88, 76, 73, 8807, 292, 225, 88, 76, 73, 2307, 3721, 7459, 290, 225, 88, 76, 73, 3797, 4778, 18, 203, 203, 11900, 225, 88, 76, 73, 10245, 6516, 600, 5477, 7174, 290, 225, 88, 76, 73, 1244, 2347, 643, 14709, 8343, 431, 225, 88, 76, 73, 34356, 345, 10432, 225, 88, 76, 73, 3442, 291, 2987, 290, 3008, 18, 409, 9379, 2994, 292, 225, 88, 76, 73, 4559, 643, 22180, 819, 225, 88, 76, 73, 34356, 16, 225, 88, 76, 73, 6097, 2994, 292, 225, 88, 76, 73, 1848, 643, 29436, 359, 225, 69, 2013, 17, 34593, 9163, 291, 2427, 2855, 18, 409, 1244, 2347, 385, 22180, 291, 2775, 2862, 18, 203, 203, 26673, 203, 38333, 6516, 600, 5477, 318, 4184, 431, 19098, 1063, 5911, 359, 225, 69, 7613, 9513, 16, 290, 6258, 1913, 601, 318, 28385, 346, 609, 19764, 1315, 3395, 7510, 16, 374, 392, 4551, 16, 14067, 526, 4254, 290, 17449, 321, 267, 5961, 359, 225, 88, 76, 73, 18126, 1389, 292, 9023, 284, 10661, 22189, 7, 26673, 18, 1563, 203, 38333, 6516, 600, 5477, 644, 225, 69, 3650, 292, 15285, 383, 225, 88, 76, 73, 2286, 1063, 5911, 10887, 16, 225, 69, 10275, 292, 1872, 717, 31511, 2566, 18, 23, 10827, 1364, 225, 88, 76, 73, 2855, 10887, 16, 290, 279, 2688, 292, 1260, 717, 396, 25, 18, 23, 10827, 1364, 225, 88, 76, 73, 4109, 10887, 18, 1238, 643, 18693, 11689, 18, 1238, 643, 5000, 11746, 290, 19376, 10967, 16, 3267, 225, 69, 2762, 10412, 292, 377, 18, 6834, 11746, 619, 4750, 18, 409, 14729, 2184, 385, 16348, 18, 23, 806, 396, 17364, 1328, 346, 9727, 18, 24, 806, 15865, 873, 346, 1583, 717, 396, 28, 18, 23, 10827, 9453, 811, 1583, 806, 16, 1519, 396, 26, 18, 27, 10827, 9453, 1583, 286, 3843, 16, 14852, 396, 5805, 18, 27, 10827, 9453, 1872, 286, 10528, 16, 290, 18693, 396, 6427, 18, 27, 10827, 9453, 8984, 388, 4438, 18, 203, 203, 23447, 30744, 788, 643, 18979, 18, 23, 9, 3690, 19, 52, 7720, 373, 76, 7720, 16, 685, 18, 23, 9, 34946, 16, 685, 18, 23, 9, 7290, 15372, 16, 377, 18, 27, 9, 7024, 16, 290, 848, 18, 20, 9, 609, 12980, 788, 396, 273, 88, 886, 771, 286, 543, 720, 2313, 9, 1364, 717, 882, 5095, 346, 3080, 12980, 788, 859, 203, 203, 6910, 629, 717, 45359, 286, 3267, 519, 9214, 16, 6049, 18, 20, 9, 644, 786, 9214, 16, 11795, 18, 27, 9, 643, 4570, 290, 377, 18, 27, 9, 644, 609, 23528, 18, 203, 203, 6661, 1059, 383, 2070, 1583, 806, 1367, 16, 10502, 396, 3859, 18, 26, 10827, 717, 644, 225, 69, 15730, 388, 2930, 3658, 16, 290, 3498, 396, 2455, 18, 24, 10827, 717, 644, 786, 7635, 16912, 18, 409, 14729, 4526, 385, 1175, 4309, 16, 18540, 16, 4809, 346, 1175, 6078, 16, 10731, 15865, 18, 409, 7492, 4709, 292, 1059, 383, 2070, 1583, 385, 345, 4099, 396, 5805, 18, 24, 10827, 717, 643, 9343, 1444, 17, 2378, 16, 2357, 396, 2566, 18, 25, 10827, 643, 641, 17, 2378, 16, 290, 1669, 396, 20, 18, 20, 10827, 643, 28075, 18, 203, 203, 13480, 203, 38333, 6516, 600, 5477, 1925, 318, 225, 69, 12330, 4218, 1204, 15639, 326, 806, 377, 286, 1025, 18, 601, 644, 225, 69, 3478, 292, 225, 359, 292, 225, 409, 1204, 385, 3178, 291, 22461, 18, 203, 203, 1987, 203, 203, 46496, 18165, 203, 8997, 49960, 292, 31998, 203, 18844, 3152, 291, 26632, 16, 1063, 5911, 203, 13937, 17, 3532, 5911, 3354, 2, 0, 521, 5218, 49782, 3703, 318, 279, 39638, 8811, 5428, 291, 225, 88, 76, 73, 11187, 28095, 3442, 292, 5201, 3610, 18, 601, 318, 225, 88, 76, 73, 2630, 13128, 5428, 291, 225, 88, 76, 73, 1627, 18, 203, 203, 25500, 203, 521, 5428, 18426, 1689, 10189, 1010, 5180, 291, 225, 88, 76, 73, 39946, 26811, 34872, 15309, 581, 1872, 3059, 7748, 3686, 292, 25541, 18, 409, 5428, 12106, 291, 225, 69, 309, 422, 341, 323, 4519, 11569, 346, 225, 88, 76, 73, 3677, 6836, 11012, 1535, 357, 21183, 225, 88, 76, 73, 11813, 715, 3686, 292, 225, 88, 76, 73, 35738, 2349, 2410, 17, 3149, 18, 409, 5428, 857, 4614, 3620, 17, 5448, 857, 5696, 12407, 225, 88, 76, 73, 3677, 6836, 11012, 1001, 16, 3620, 292, 225, 88, 76, 73, 29823, 2518, 4085, 3409, 18, 35598, 225, 3620, 292, 25541, 16, 225, 88, 76, 73 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 5428, 12106, 754, 225, 88, 76, 73, 225, 5218, 49782, 9835, 16, 279, 1263, 41794, 18, 409, 5428, 4774, 286, 1357, 5696, 12407, 11012, 377, 383, 225, 88, 76, 73, 5218, 49782, 4085, 3409, 9069, 290, 617, 38903, 698, 225, 88, 76, 73, 3550, 9416, 383, 351, 454, 694, 8236, 581, 3303, 3059, 7748, 3686, 17, 5448, 292, 389, 753, 1385, 203, 203, 14715, 5856, 3428, 225, 203, 521, 5428, 318, 1712, 286, 427, 2357, 48791, 345, 1706, 30, 5201, 7900, 16, 40118, 560, 5165, 7900, 16, 781, 628, 303, 9865, 7900, 16, 11192, 880, 7900, 16, 5218, 49782, 3703, 2027, 16, 11427, 71, 30948, 7900, 16, 15353, 2417, 7900, 290, 316, 14788, 316, 14788, 7900, 18, 203, 203, 5733, 27040, 582, 18042, 291, 10858, 798, 292, 803, 48791, 568, 23827, 18, 707, 3776, 17701, 487, 7900, 290, 707, 303, 410, 322, 1428, 7900, 1119, 22968, 282, 290, 4835, 25571, 290, 6681, 17770, 325, 225, 88, 76, 73, 8675, 366, 1473, 11014, 290, 4207, 25541, 9412, 3882, 18, 203, 203, 521, 5428, 12106, 754, 225, 69, 1319, 292, 7428, 1257, 14872, 325, 225, 88, 76, 73, 7641, 641, 292, 709, 3603, 1315, 316, 454, 69, 15191, 16, 351, 1828, 330, 284, 1428, 15191, 16, 30085, 15191, 290, 12148, 23791, 15191, 18, 203, 203, 47516, 433, 225, 203, 521, 5218, 49782, 29390, 433, 1389, 26050, 423, 225, 88, 76, 73, 7445, 1752, 292, 225, 88, 76, 73, 49908, 3489, 41117, 290, 225, 88, 76, 73, 7716, 1752, 292, 225, 88, 76, 73, 8675, 366, 1473, 15309, 1482, 787, 292, 225, 88, 76, 73, 36198, 1133, 225, 88, 76, 73, 797, 18, 409, 11667, 30797, 371, 8772, 292, 32679, 585, 597, 346, 629, 24769, 585, 597, 16, 1613, 1811, 290, 1406, 1731, 23111, 18, 203, 203, 12153, 318, 8702, 383, 39946, 26811, 34872, 8797, 573, 6019, 225, 69, 2914, 5887, 292, 7410, 16, 1318, 13003, 16, 290, 225, 69, 2914, 292, 1025, 16, 46897, 13505, 19, 2996, 371, 8096, 423, 225, 88, 76, 73, 4017, 1257, 326, 787, 291, 225, 88, 76, 73, 2364, 292, 25541, 18, 203, 203, 15642, 49782, 9835, 272, 203, 3591, 568, 5218, 49782, 9835, 272, 203, 521, 1357, 35616, 1389, 292, 5218, 49782, 3703, 318, 5299, 290, 21561, 766, 18, 225, 601, 318, 225, 69, 3053, 827, 5201, 7900, 16, 40118, 560, 5165, 7900, 290, 5218, 49782, 3703, 48542, 18, 203, 203, 521, 5428, 857, 12106, 754, 225, 69, 16349, 7112, 5845, 359, 1856, 359, 21024, 38282, 16, 650, 225, 88, 76, 73, 5428, 4918, 286, 1139, 225, 69, 761, 7112, 5845, 18, 601, 857, 12106, 754, 225, 69, 1319, 292, 14872, 981, 8110, 225, 88, 76, 73, 1362, 89, 34652, 1389, 18, 203, 203, 14581, 1360, 1563, 203, 521, 5465, 292, 225, 88, 76, 73, 5428, 318, 225, 69, 1648, 1362, 89, 34652, 1389, 18, 225, 409, 1362, 1360, 318, 4794, 571, 11125, 1632, 16, 290, 5683, 7021, 359, 225, 69, 1873, 292, 5428, 2183, 18, 225, 409, 33914, 5401, 431, 225, 88, 76, 73, 5428, 318, 20108, 15198, 18, 203, 521, 1362, 1360, 6258, 225, 69, 2914, 4017, 1389, 292, 225, 203, 521, 4889, 292, 225, 88, 76, 73, 1362, 89, 34652, 1389, 318, 959, 527, 292, 6515, 29933, 290, 684, 32625, 24805, 18, 332, 18663, 292, 563, 32520, 1276, 787, 225, 88, 76, 73, 1362, 1360, 359, 13764, 290, 22707, 279, 1389, 292, 1913, 15411, 4750, 15876, 321, 33322, 371, 1712, 286, 12290, 225, 88, 76, 73, 1362, 1360, 18, 203, 203, 6355, 203, 521, 5428, 385, 3249, 291, 25892, 1154, 279, 18029, 431, 225, 88, 76, 73, 30703, 290, 49800, 5485, 5442, 21024, 16, 819, 49908, 3489, 5218, 49782, 16, 31837, 4837, 17, 42106, 292, 2361, 326, 225, 88, 76, 73, 1351, 9577, 18, 203, 203, 521, 3222, 3848, 292, 225, 88, 76, 73, 1389, 345, 225, 88, 76, 73, 5428, 12106, 754, 371, 225, 88, 76, 73, 1345, 78, 570, 14037, 717, 18, 203, 203, 49, 454, 694, 8236, 16, 383, 225, 88, 76, 73, 7984, 991, 292, 225, 88, 76, 73, 5428, 16, 385, 3178, 2922, 286, 28166, 18, 7870, 9993, 4693, 643, 41347, 16, 290, 431, 345, 602, 643, 8227, 581, 1124, 16, 1318, 14535, 18, 203, 203, 27184, 5180, 8236, 16, 940, 2314, 26175, 16, 385, 9370, 291, 26445, 431, 15304, 38953, 596, 5890, 13290, 2192, 8236, 18, 409, 724, 3131, 12473, 385, 8740, 286, 389, 18, 4095, 29279, 291, 19172, 326, 279, 1389, 292, 1913, 203, 203, 37, 225, 6640, 12407, 225, 88, 76, 73, 5428, 1689, 10364, 5180, 385, 8568, 291, 225, 88, 76, 73, 2775, 10754, 87, 286, 1310, 225, 88, 76, 73, 14501, 1950, 18, 203, 203, 24153, 2208, 13496, 203, 521, 5428, 504, 652, 26128, 290, 6624, 359, 225, 69, 1637, 326, 29963, 16, 291, 225, 88, 76, 73, 21024, 38282, 290, 225, 88, 76, 73, 9289, 1323, 38282, 359, 761, 359, 39946, 26811, 34872, 18, 203, 203, 1987, 1563, 6171, 203, 27497, 292, 225, 88, 76, 73, 11187, 28095, 3442, 203, 25529, 10942, 22380, 292, 5201, 3610, 2, 0, 521, 3829, 292, 40679, 38471, 476, 17, 27062, 4855, 18, 384, 318, 225, 69, 16987, 4452, 2353, 2740, 431, 43639, 6920, 291, 11262, 8224, 225, 69, 1648, 14854, 292, 225, 88, 76, 73, 1863, 780, 644, 2740, 325, 633, 724, 2701, 6847, 326, 225, 88, 76, 73, 5694, 345, 385, 449, 1100, 325, 225, 88, 76, 73, 3529, 602, 526, 409, 3829, 292, 40679, 38471, 476, 17, 27062, 18, 203, 203, 18453, 633, 609, 724, 16987, 16, 409, 3829, 292, 40679, 38471, 476, 17, 27062, 4855, 18, 384, 1071, 4051, 797, 6374, 345, 643, 1411, 2740, 325, 654, 2353, 774, 689, 43, 7839, 14369, 11165, 11709, 1605, 828, 2164, 26517, 2995, 573, 385, 1411, 5523, 2740, 16, 290, 689, 4379, 225, 88, 76, 73, 26665, 292, 1832, 8840, 2995, 573, 385, 1349, 325, 225, 88, 76, 73, 689, 45, 2383, 421, 7839, 1397, 225, 69, 8243, 6706, 8240, 6, 2013, 345, 385, 46515, 291, 225, 88, 76, 73, 3261, 383, 225, 88, 76, 73, 595, 18, 203, 203, 13339, 8483, 225, 203, 3001, 6374, 8772, 431, 40679, 38471, 476, 17, 27062, 6337, 827, 10974, 18, 203, 689, 1266 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 526, 1832, 6187, 6, 21, 774, 685, 30, 6181, 203, 689, 2177, 526, 225, 69, 21567, 4366, 1524, 996, 828, 10319, 2339, 6, 25, 774, 384, 30, 4309, 203, 689, 11319, 6736, 10942, 6, 24, 774, 384, 30, 2721, 203, 689, 25346, 286, 225, 69, 1776, 356, 993, 6, 24, 396, 46, 9267, 14869, 13, 774, 685, 30, 2905, 203, 689, 22789, 6, 26, 396, 46684, 2095, 19500, 675, 13, 774, 848, 30, 6257, 203, 689, 15919, 6, 26, 774, 377, 30, 6011, 203, 689, 2177, 411, 1581, 33551, 291, 6350, 6, 21, 774, 832, 30, 7272, 203, 689, 36868, 1397, 6852, 6, 22, 774, 377, 30, 5932, 203, 689, 54, 471, 33952, 622, 6, 1858, 37, 35434, 18641, 65, 24, 396, 27144, 13, 774, 384, 30, 7068, 203, 689, 43, 7839, 14369, 11165, 11709, 1605, 828, 2164, 26517, 6, 28, 774, 377, 30, 5932, 203, 689, 56, 446, 25758, 291, 7271, 6, 25, 774, 685, 30, 5234, 203, 689, 521, 1697, 35893, 6, 24, 774, 384, 30, 5234, 203, 689, 10223, 15507, 6, 26, 774, 384, 30, 7933, 203, 689, 4379, 225, 88, 76, 73, 26665, 292, 1832, 8840, 6, 27, 774, 384, 30, 6181, 203, 689, 24727, 373, 20316, 39135, 497, 6, 24, 396, 44000, 2515, 831, 19, 27144, 13, 774, 685, 30, 5777, 203, 689, 9473, 16, 15597, 3446, 3460, 11496, 6, 22, 774, 384, 30, 2455, 203, 689, 41, 10217, 292, 23391, 6, 21, 774, 384, 30, 825, 203, 689, 38, 16089, 291, 24456, 6, 21, 774, 384, 30, 5234, 203, 689, 2346, 3166, 287, 6, 21, 774, 384, 30, 3475, 203, 689, 12388, 5525, 291, 738, 2894, 6350, 6, 19, 6, 4331, 985, 5915, 2339, 16754, 6, 28, 774, 685, 30, 6731, 203, 689, 15459, 296, 6632, 6, 25, 396, 27144, 13, 774, 384, 30, 2288, 203, 689, 56, 11, 272, 6225, 571, 1661, 264, 6, 9623, 21806, 601, 526, 4903, 326, 828, 286, 2144, 9530, 24, 774, 384, 30, 7264, 203, 689, 521, 32659, 292, 37263, 6, 24, 774, 377, 30, 4457, 203, 689, 521, 4421, 6, 26, 396, 7161, 25962, 13, 774, 685, 30, 3021, 4327, 377, 774, 2952, 601, 526, 1832, 6187, 5, 203, 384, 774, 2952, 3791, 225, 69, 21391, 203, 685, 774, 2952, 6736, 15754, 22285, 290, 22285, 203, 832, 774, 2952, 5606, 954, 17952, 954, 39537, 2984, 203, 848, 774, 2952, 314, 2383, 421, 7839, 1397, 225, 69, 8243, 6706, 8240, 203, 1025, 774, 2952, 49928, 587, 203, 1148, 774, 834, 32921, 325, 2353, 31, 361, 17, 1677, 292, 2013, 689, 45, 2383, 421, 7839, 1397, 225, 69, 8243, 6706, 8240, 6, 203, 1188, 774, 225, 24016, 41843, 203, 203, 1987, 1563, 203, 38, 15517, 38471, 476, 17, 27062, 6847, 203, 26767, 3689, 431, 1589, 33952, 23903, 203, 23154, 5935, 8395, 6847, 203, 58, 33052, 6920, 16987, 6847, 2, 0, 521, 331, 2379, 296, 19888, 388, 331, 2379, 296, 21358, 1812, 318, 225, 69, 1848, 291, 26321, 2086, 16, 291, 7445, 26321, 16, 601, 318, 2558, 383, 225, 88, 76, 73, 10054, 991, 292, 225, 88, 76, 73, 7947, 294, 11, 3268, 7642, 16, 291, 225, 88, 76, 73, 6947, 4574, 45799, 43882, 5127, 292, 225, 88, 76, 73, 1830, 18, 203, 203, 6355, 203, 203, 2091, 225, 69, 1637, 827, 660, 644, 4977, 652, 225, 69, 1848, 5984, 359, 225, 69, 331, 2379, 296, 1080, 88, 17565, 6879, 517, 573, 3579, 18267, 225, 69, 5009, 431, 225, 88, 76, 73, 1565, 292, 1397, 355, 1233, 1812, 3608, 16, 225, 88, 76, 73, 1830, 2891, 286, 13660, 225, 69, 3891, 9168, 1848, 18, 409, 946, 4174, 5292, 291, 22163, 385, 1825, 291, 21386, 431, 18395, 290, 3833, 8337, 1572, 16, 225, 69, 3223, 290, 3198, 962, 18, 409, 6236, 1698, 286, 1651, 698, 225, 88, 76, 73, 28497, 17, 7283, 22543, 1848, 291, 20953, 517, 225, 88, 76, 73, 3131, 37554, 385, 291, 17007, 18, 1507, 225, 88, 76, 73, 2290, 16, 2304, 225, 88, 76, 73, 19939, 16, 318, 225, 69, 390, 694, 2467, 24432, 225, 88, 76, 73, 30344, 292, 225, 88, 76, 73, 1830, 15699, 286, 26321, 2086, 291, 1519, 5601, 18, 203, 203, 521, 1848, 7462, 225, 88, 76, 73, 4368, 292, 8381, 292, 225, 88, 76, 73, 3690, 15738, 290, 11899, 4804, 16, 573, 385, 3178, 291, 26321, 291, 14541, 16, 1535, 11153, 18, 601, 385, 1013, 359, 225, 88, 76, 73, 7706, 292, 1502, 29361, 292, 225, 88, 76, 73, 3696, 1535, 225, 69, 543, 7428, 7706, 882, 339, 1100, 16, 7709, 609, 548, 385, 6653, 383, 225, 88, 76, 73, 17337, 24168, 523, 261, 16, 291, 225, 88, 76, 73, 19888, 2409, 18, 203, 203, 9694, 1920, 290, 1910, 16, 1966, 286, 8753, 17658, 431, 225, 88, 76, 73, 4311, 17, 916, 4707, 16, 225, 88, 76, 73, 331, 2379, 296, 19888, 2154, 225, 88, 76, 73, 2945, 1128, 292, 225, 88, 76, 73, 10991, 292, 42705, 18, 203, 203, 19421, 628, 342, 290, 29990, 203, 829, 4109, 16, 6312, 13363, 290, 10881, 548, 385, 5642, 524, 325, 225, 88, 76, 73, 331, 2379, 296, 291, 1374, 286, 5027, 357, 698, 225, 69, 13729, 290, 6821, 5399, 18, 409, 548, 385, 3500, 291, 2355, 3008, 3047, 449, 770, 26455, 286, 225, 88, 76, 73, 20576, 49899, 290, 225, 88, 76, 73, 393, 30108, 517, 568, 286, 225, 88, 76, 73, 29277, 16, 573, 424, 915, 1577, 14190, 16, 290, 225, 88, 76, 73, 2677, 27702, 16, 915, 225, 88, 76, 73, 8511, 3602, 16, 827, 1560, 5139, 1139, 225, 69, 631, 4975, 5399, 18, 601, 1837, 325, 225, 88, 76, 73, 1565, 331, 2379, 296, 17, 39, 31121, 819, 279, 12665, 1848, 325, 225, 88, 76, 73, 1637, 292, 225, 88, 76, 73, 2677, 44796, 1812, 21358, 1812, 385, 4737, 286, 225, 88, 76, 73, 331, 2379, 296, 431, 1817, 292, 225, 69, 6640, 658, 225, 88, 76, 73, 39545, 6818, 472, 264, 291, 1374, 286, 3919, 225, 88, 76, 73, 331, 2379, 296, 526, 4797, 18, 203, 203, 1987, 203, 203, 21912, 290, 6495, 291, 26321, 2086, 203, 10601, 22543, 25773, 6564, 203, 18606, 15738, 290, 11899, 4804, 203, 20680, 4700, 3500, 291, 20953, 203 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 37689, 291, 26321, 203, 3302, 6288, 14248, 291, 26321, 2, 0, 1200, 318, 225, 69, 1241, 292, 10218, 4848, 290, 717, 596, 427, 15785, 291, 225, 88, 76, 73, 18578, 8040, 5669, 292, 16016, 290, 225, 88, 76, 73, 2349, 480, 5158, 292, 225, 88, 76, 73, 3550, 1627, 292, 34563, 18, 738, 1241, 568, 2626, 3194, 14667, 2664, 419, 16, 14667, 43379, 7218, 16, 14667, 43379, 23849, 16, 290, 609, 1928, 17, 465, 1221, 19057, 293, 596, 427, 15785, 291, 14053, 18578, 8040, 18, 409, 717, 783, 568, 339, 1712, 359, 18578, 8040, 77, 18, 203, 203, 10080, 30255, 290, 3028, 271, 42436, 7628, 70, 465, 203, 24568, 25981, 29205, 347, 16, 4124, 4633, 11229, 93, 790, 291, 225, 88, 76, 73, 16016, 29922, 2446, 203, 995, 6950, 8607, 16, 8544, 22297, 10600, 19025, 431, 1220, 17618, 291, 225, 69, 6417, 1293, 3057, 1581, 3727, 325, 832, 1589, 10708, 18, 203, 1294, 457, 90, 382, 12799, 261, 34139, 45754, 31322, 16, 5400, 23318, 11229, 93, 790, 291, 225, 88, 76, 73, 16016, 29922, 2446, 203, 389, 567, 755, 32023, 466, 36880, 16, 3506, 15649, 16, 6693, 16, 2677, 3506, 3962, 292, 225, 88, 76, 73, 9307, 11361, 366, 11, 11366, 290, 7042, 292, 409, 10061, 30447, 18, 203, 19789, 308, 37480, 389, 16557, 16, 7754, 292, 225, 88, 76, 73, 37915, 579, 2829, 3968, 203, 30874, 267, 1460, 413, 25169, 16, 25981, 2018, 10430, 28021, 2260, 5588, 291, 225, 88, 76, 73, 16016, 29922, 2446, 203, 33612, 263, 361, 28881, 16, 6132, 16451, 290, 4939, 6554, 291, 225, 88, 76, 73, 16016, 29922, 2446, 203, 12781, 4753, 34139, 45754, 31322, 16, 2863, 11229, 93, 790, 291, 225, 88, 76, 73, 36836, 11910, 14664, 292, 225, 88, 76, 73, 2349, 480, 5158, 203, 1254, 7060, 10364, 16, 307, 9155, 290, 9696, 203, 395, 9171, 593, 957, 69, 19069, 37669, 16, 3259, 3993, 15649, 290, 641, 292, 225, 88, 76, 73, 36836, 3162, 3968, 203, 9641, 303, 20705, 16, 3904, 291, 29793, 3757, 13465, 25691, 5399, 811, 625, 306, 29122, 6926, 18, 1563, 319, 2032, 42512, 44949, 3853, 16, 2863, 11229, 93, 790, 291, 225, 88, 76, 73, 36836, 11910, 14664, 292, 225, 88, 76, 73, 2349, 480, 5158, 203, 781, 1811, 37686, 20705, 16, 3009, 4956, 11229, 93, 790, 291, 225, 88, 76, 73, 16016, 29922, 2446, 203, 319, 1742, 299, 5122, 16, 11229, 93, 790, 291, 225, 88, 76, 73, 3550, 10980, 3968, 203, 8375, 5136, 6577, 25169, 16, 1670, 10600, 290, 15649, 203, 2120, 17665, 16195, 284, 9636, 89, 16, 3259, 3993, 15649, 290, 641, 292, 225, 88, 76, 73, 36836, 3162, 3968, 203, 1343, 768, 17665, 11372, 298, 31554, 72, 76, 1384, 16, 3259, 3993, 15649, 290, 641, 292, 225, 88, 76, 73, 36836, 3162, 3968, 203, 203, 6709, 290, 946, 203, 389, 606, 15016, 430, 1485, 16, 1702, 3702, 290, 5103, 203, 23306, 274, 28044, 16, 4115, 292, 225, 88, 76, 73, 4339, 292, 23084, 16016, 16, 9936, 17, 31892, 292, 225, 88, 76, 73, 15435, 3693, 292, 23084, 203, 319, 49734, 351, 13953, 16, 11263, 290, 9295, 6680, 16, 2389, 554, 292, 225, 88, 76, 73, 797, 4576, 25, 42591, 11776, 326, 225, 88, 76, 73, 2862, 5652, 7835, 18, 203, 203, 10106, 290, 1950, 4327, 24568, 8606, 397, 16, 3194, 3468, 11321, 1712, 326, 522, 4712, 689, 8283, 732, 12713, 2656, 203, 12183, 523, 8607, 5432, 16, 7754, 292, 225, 88, 76, 73, 16195, 23306, 274, 14866, 291, 3023, 573, 2154, 225, 69, 11204, 326, 225, 88, 76, 73, 3194, 7024, 1504, 18, 203, 35766, 687, 281, 26323, 333, 351, 13730, 16, 18830, 290, 2677, 4115, 292, 225, 88, 76, 73, 16016, 23443, 366, 3693, 3261, 18, 203, 430, 1918, 8607, 16, 7754, 292, 225, 88, 76, 73, 3194, 27854, 6894, 16, 33948, 3729, 9065, 290, 42345, 3282, 203, 393, 890, 296, 45156, 332, 2121, 28386, 28501, 696, 7754, 292, 225, 88, 76, 73, 1004, 526, 4104, 1928, 17, 33943, 8429, 16, 15264, 2710, 203, 393, 17413, 335, 755, 1942, 76, 1384, 351, 13730, 696, 3729, 1010, 16, 1504, 15649, 290, 11687, 292, 13891, 290, 12385, 35969, 10175, 35632, 3721, 18, 203, 314, 85, 2195, 20705, 453, 13730, 696, 32087, 290, 6176, 292, 45146, 620, 3348, 18, 557, 4109, 16, 458, 2154, 225, 88, 76, 73, 4021, 3194, 14667, 43379, 286, 2443, 325, 225, 88, 76, 73, 3990, 6320, 4117, 5174, 396, 14378, 383, 1319, 848, 2288, 859, 203, 3988, 16944, 25064, 16, 5934, 5662, 472, 290, 12143, 292, 225, 88, 76, 73, 21864, 1485, 81, 546, 3971, 317, 4970, 203, 8121, 1064, 11607, 72, 484, 23306, 299, 16, 7754, 292, 10805, 319, 16, 4372, 292, 38570, 9569, 9125, 3348, 290, 3282, 23748, 18, 203, 24687, 367, 31554, 72, 76, 1384, 696, 3729, 1010, 16, 290, 7754, 290, 795, 17, 30232, 292, 3023, 26885, 18, 557, 2730, 16, 225, 88, 76, 73, 1250, 385, 6081, 225, 69, 7296, 526, 4385, 326, 14390, 326, 3211, 10964, 291, 7670, 292, 709, 2688, 291, 3019, 18, 203, 8799, 416, 355, 20705, 774, 32087, 596, 2154, 225, 88, 76, 73, 724, 14667, 43379, 43450, 383, 225, 88, 76, 73, 2184, 292, 3538, 1966, 286, 41836, 291, 10499, 16, 2321, 16, 225, 69, 6017, 292, 6469, 346, 225, 88, 76, 73, 18355, 11408, 1275, 16, 9730, 290, 2646, 1750, 18, 203, 22926, 570, 8607, 696, 12834, 472, 16, 18258, 5934, 17, 13470, 350, 16, 5650, 472, 16, 40397, 290, 31947, 203, 16195, 24568, 14490, 333, 1383, 883, 448, 16, 724, 18578, 8040, 77, 286, 1227, 225, 69, 5009, 291, 225, 88, 76, 73, 1851, 6248, 203, 13330, 355, 46021, 774, 17967, 292, 2068, 19122, 396, 12823, 13, 203, 2120, 282, 20705, 774, 35816, 325, 9817, 4418, 4239, 6831, 409, 34391, 525, 203, 2120, 282, 1383, 457, 10248, 24017, 319, 2311, 284, 16, 7754, 292, 351, 3186, 90, 570, 26398, 203, 33078, 19973, 1010, 689, 46386, 6, 351, 13953, 351, 13730, 696, 34272, 10636, 290, 3468, 11321, 18, 557, 8338, 16, 458, 5141, 225, 88, 76, 73, 3550, 15768, 292, 225, 88, 76, 73, 4575, 14912, 18, 203, 374, 5909, 16633, 284, 528, 4616, 77, 82, 351, 13730, 696, 32087, 16, 3468, 11321, 16 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1504, 4467, 290, 11687, 292, 225, 88, 76, 73, 16016, 17, 12808, 10991, 292, 13724, 18, 203, 203, 13480, 290, 15193, 4327, 47702, 362, 9331, 3673, 351, 13730, 16, 23318, 383, 47683, 87, 16, 1495, 292, 3023, 16, 5103, 203, 19006, 15848, 44949, 6315, 16, 7458, 292, 19292, 383, 225, 88, 76, 73, 1495, 292, 38242, 47601, 383, 225, 88, 76, 73, 23245, 292, 225, 88, 76, 73, 16016, 29922, 2446, 431, 225, 88, 76, 73, 9061, 5349, 18, 203, 556, 351, 21835, 284, 362, 7886, 16, 11312, 292, 225, 88, 76, 73, 3550, 4339, 292, 4343, 19163, 807, 322, 203, 24687, 367, 358, 17, 22320, 6950, 16, 289, 27904, 7312, 203, 351, 18, 332, 18, 26323, 333, 16, 225, 724, 9464, 17, 354, 752, 24495, 292, 16016, 1495, 292, 7436, 290, 5852, 203, 33078, 1456, 2583, 6129, 355, 16, 47801, 290, 7563, 9464, 25060, 292, 225, 88, 76, 73, 1495, 292, 9318, 37340, 203, 8799, 24494, 1343, 38887, 314, 85, 2195, 16, 35205, 16, 5103, 290, 33184, 203, 40113, 3662, 31554, 72, 76, 1384, 16, 7754, 292, 225, 88, 76, 73, 5134, 290, 25786, 7625, 4932, 291, 225, 88, 76, 73, 1495, 292, 38242, 16, 25559, 286, 4547, 28263, 5425, 292, 16016, 203, 39012, 362, 7886, 38966, 333, 16, 2677, 4582, 5604, 292, 16016, 203, 39012, 31386, 33103, 13249, 11536, 37825, 410, 16, 1357, 292, 24012, 47765, 2601, 11738, 383, 225, 88, 76, 73, 29685, 12342, 6984, 396, 40, 76, 6471, 13, 203, 13817, 1010, 902, 34139, 45754, 31322, 27626, 4568, 24697, 391, 16, 7682, 383, 21359, 1495, 203, 2407, 38609, 2927, 293, 16, 39081, 4038, 7682, 383, 1466, 4990, 1730, 1495, 203, 22926, 570, 8607, 16, 7754, 292, 26745, 1495, 16, 23306, 274, 12609, 22926, 570, 17, 35898, 471, 69, 6424, 3049, 290, 225, 88, 76, 73, 1495, 292, 6266, 7290, 203, 12699, 86, 37686, 20705, 31554, 72, 76, 1384, 16, 35205, 290, 9936, 17, 354, 752, 24495, 292, 16195, 49451, 274, 1495, 292, 4860, 290, 5852, 290, 18578, 8040, 3211, 1495, 203, 34128, 30588, 44949, 34139, 45754, 578, 4568, 16, 2401, 1693, 38848, 290, 3962, 292, 46111, 4339, 16, 30287, 203, 781, 27010, 20705, 16, 17053, 290, 10821, 203, 14470, 29431, 89, 389, 17835, 14490, 410, 35883, 16, 35205, 290, 6752, 2260, 292, 225, 88, 76, 73, 3550, 4339, 292, 5852, 44602, 356, 9484, 203, 3574, 2829, 45593, 25169, 16, 7754, 9784, 292, 39369, 2090, 6424, 3049, 203, 2120, 282, 1524, 94, 5468, 362, 7886, 16, 6474, 16, 5103, 16, 2677, 7682, 292, 38242, 1495, 203, 203, 9937, 4534, 816, 292, 16016, 203, 24568, 37963, 16, 46705, 396, 86, 35655, 16792, 7754, 292, 2090, 8840, 5031, 203, 389, 20297, 33078, 9559, 86, 501, 16, 4726, 16, 2411, 16, 9696, 203, 478, 6080, 322, 1043, 4197, 755, 1942, 76, 1384, 16, 9936, 17, 354, 752, 24495, 292, 1495, 292, 6266, 7290, 16, 25559, 286, 4547, 28263, 5425, 292, 16016, 203, 35269, 274, 274, 5122, 16, 4124, 4633, 290, 5103, 203, 16195, 4880, 48934, 367, 16, 10269, 17732, 666, 290, 43018, 7312, 203, 203, 20782, 1131, 4327, 2790, 362, 7056, 274, 24568, 8799, 76, 338, 16, 2677, 10637, 5604, 292, 16016, 203, 361, 18, 361, 18, 34139, 45754, 31322, 16, 7682, 290, 4136, 292, 225, 88, 76, 73, 4339, 292, 12117, 17061, 291, 12023, 203, 28200, 6729, 1082, 37686, 16, 1148, 88, 76, 9049, 292, 16016, 5202, 16, 7754, 292, 3551, 2699, 1495, 203, 351, 417, 763, 389, 17835, 755, 1618, 7551, 77, 16, 16352, 29561, 16, 5267, 290, 7682, 292, 225, 88, 76, 73, 12023, 1925, 292, 15753, 203, 25024, 35607, 40364, 16, 13128, 5050, 10637, 5604, 292, 16016, 290, 225, 69, 4467, 292, 361, 24242, 203, 16195, 332, 351, 319, 556, 570, 7654, 16, 29561, 16, 31578, 290, 2677, 6678, 13324, 292, 225, 88, 76, 73, 1851, 10001, 11, 47707, 3864, 203, 1236, 5175, 1211, 69, 361, 10643, 88, 755, 1618, 7551, 77, 16, 832, 88, 76, 9049, 292, 16016, 5202, 203, 203, 36395, 4327, 1283, 13315, 6729, 89, 3673, 16, 7063, 16, 23748, 16, 2609, 290, 42491, 15981, 203, 1340, 87, 593, 9559, 317, 16, 7944, 910, 1712, 326, 225, 88, 76, 73, 2450, 292, 13817, 3662, 3405, 299, 291, 9560, 18768, 203, 8607, 16195, 31169, 16, 22540, 290, 4239, 23748, 203, 9559, 355, 16, 7063, 910, 1712, 326, 225, 88, 76, 73, 2450, 292, 19828, 355, 8194, 1485, 1021, 291, 24772, 3507, 203, 39825, 76, 1082, 755, 32023, 349, 422, 93, 16, 8681, 7358, 290, 7063, 203, 331, 18, 361, 18, 1343, 12207, 16, 1782, 3962, 16, 7063, 16, 290, 2609, 203, 6792, 274, 11372, 16, 1782, 7063, 290, 7203, 203, 1498, 10109, 13692, 322, 17, 49218, 1010, 16, 1782, 3962, 16, 7063, 290, 31862, 203, 9697, 4400, 755, 1942, 76, 1384, 16, 8681, 7358, 290, 3702, 203, 25766, 299, 47878, 1021, 11372, 16, 1782, 290, 3282, 7063, 203, 1104, 34195, 31554, 72, 76, 1384, 16, 225, 69, 14273, 36765, 22203, 291, 225, 88, 76, 73, 1851, 2198, 203, 428, 8978, 4568, 46021, 16, 33184, 16, 10636, 16, 2411, 290, 3282, 7358, 910, 1712, 326, 4499, 225, 88, 76, 73, 10018, 4174, 409, 3677, 3194, 28426, 2619, 203, 35016, 261, 11879, 3853, 16, 29027, 16, 3962, 290, 11303, 2260, 292, 33409, 10411, 426, 203, 32118, 593, 19657, 77, 16, 1782, 3962, 290, 31862, 203, 395, 13472, 362, 47702, 16, 1782, 3962, 203, 47147, 16195, 16, 1782, 7063, 203, 781, 897, 5909, 31554, 72, 76, 1384, 16, 7944, 910, 1712, 326, 225, 88, 76, 73, 2450, 292, 2407, 90, 3451, 3405, 299, 291, 9560, 18768, 203, 203, 49069, 203, 2790, 36606, 3451, 1201, 16, 28771, 1890, 43379, 1201, 596, 644, 489, 356, 12959, 291, 18578, 8040, 203, 351, 2583, 4594, 1201, 292, 478, 9433, 351, 13953, 16, 32721, 75, 324, 16, 18578, 8040, 2364, 203, 18393, 410, 72, 1239, 292, 18578, 8040, 16, 39914, 10634, 290, 1383, 261, 1828, 8332, 292, 361, 9071, 4753, 19, 43, 682, 89, 284, 19, 49, 890, 410, 72, 2829, 16, 18578, 8040, 203, 3853, 1201, 16, 225, 69, 2677, 14209, 1201, 292, 37162, 10643, 5165, 16, 25793, 570, 26398, 203, 39914, 10634, 292, 1890, 338, 355, 6243, 69, 16, 5141, 431, 20355, 448, 41299 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 267, 1498, 18507, 28099, 203, 319, 340, 44206, 410, 16, 35723, 1947, 292, 16195, 23306, 274, 526, 24470, 75, 1021, 3255, 16, 5141, 431, 378, 21016, 39550, 1717, 203, 31509, 695, 1239, 292, 556, 3166, 324, 77, 16, 5141, 431, 16195, 23306, 274, 526, 12502, 16, 16195, 9925, 355, 513, 17, 13540, 82, 203, 203, 25547, 1486, 203, 19268, 501, 15427, 392, 16, 377, 334, 7042, 17, 77, 82, 17, 21066, 292, 9061, 526, 9379, 16, 3173, 290, 745, 7303, 987, 2764, 17, 11345, 8450, 16, 19618, 290, 2677, 10264, 5604, 292, 9061, 203, 10198, 2192, 9757, 88, 890, 16, 2677, 2274, 6666, 326, 225, 88, 76, 73, 11582, 292, 3023, 203, 33030, 16195, 417, 284, 16, 11430, 203, 44300, 421, 3166, 16, 5012, 2260, 292, 225, 88, 76, 73, 16016, 6610, 49024, 3693, 203, 46136, 7983, 46021, 16, 3282, 23748, 16, 40397, 16, 21073, 4902, 10600, 16, 21827, 1896, 290, 2677, 6176, 292, 7337, 15454, 7779, 203, 46136, 91, 2571, 45156, 16, 8385, 16, 17431, 292, 225, 88, 76, 73, 8088, 290, 6651, 292, 225, 88, 76, 73, 34186, 11827, 10304, 290, 46666, 351, 2985, 597, 328, 4385, 203, 4342, 1021, 755, 1942, 76, 1384, 16, 7042, 292, 18301, 44326, 203, 28467, 355, 31554, 72, 76, 1384, 16, 3282, 290, 3031, 11430, 326, 995, 478, 6945, 7354, 2764, 203, 7661, 1286, 362, 378, 1441, 392, 11372, 16, 7042, 292, 9061, 6320, 290, 225, 88, 76, 73, 7942, 3888, 9375, 18, 203, 2120, 282, 33078, 8607, 16, 7754, 292, 409, 10061, 4790, 774, 225, 88, 76, 73, 4104, 31815, 3225, 2764, 17, 11345, 8450, 291, 16016, 18, 1563, 2120, 282, 38966, 287, 48839, 16, 11430, 290, 7042, 292, 2011, 298, 329, 290, 27854, 4277, 203, 203, 24876, 203, 24568, 6749, 5305, 42008, 16, 8128, 290, 9696, 203, 13969, 11566, 9023, 76, 4880, 85, 755, 1942, 76, 1384, 16, 724, 8784, 383, 225, 88, 76, 73, 3194, 2720, 4368, 292, 8381, 203, 32374, 11372, 16, 14157, 8312, 4138, 292, 1898, 36194, 3211, 16, 4136, 17, 9813, 292, 225, 88, 76, 73, 3211, 4691, 3569, 12228, 203, 48934, 367, 31785, 82, 2895, 16, 8259, 290, 724, 1928, 17, 13417, 286, 339, 6413, 286, 225, 88, 76, 73, 5595, 3569, 2349, 3693, 5143, 18, 557, 4109, 16, 780, 385, 6568, 359, 225, 69, 2511, 4072, 292, 225, 88, 76, 73, 13932, 16, 573, 959, 633, 225, 88, 76, 73, 770, 982, 292, 14667, 43379, 6489, 291, 225, 69, 5012, 21648, 2067, 18, 203, 781, 8332, 333, 8607, 16, 12252, 203, 203, 46701, 4327, 13692, 322, 14371, 74, 755, 1942, 76, 1384, 16, 5103, 203, 332, 2121, 755, 1618, 76, 1384, 16, 14667, 43379, 17, 16745, 12508, 472, 290, 4038, 5103, 203, 12576, 93, 327, 2781, 261, 755, 1942, 76, 1384, 16, 5103, 290, 15648, 203, 957, 78, 410, 387, 8607, 16, 724, 36836, 8784, 25679, 203, 46420, 21227, 755, 5165, 16, 6132, 16451, 16, 1670, 10600, 16, 5103, 290, 7042, 292, 225, 88, 76, 73, 319, 3746, 480, 203, 1099, 3487, 281, 8607, 16, 5103, 290, 16048, 292, 18578, 8040, 77, 9906, 8049, 203, 1099, 606, 501, 46021, 16, 6432, 16, 5103, 16, 16048, 292, 9906, 8049, 203, 31554, 72, 76, 1384, 24870, 321, 9023, 7283, 16, 5103, 290, 19654, 292, 36836, 9906, 8049, 326, 225, 88, 76, 73, 7662, 4880, 5029, 203, 27526, 7467, 11372, 16, 6432, 1712, 359, 15355, 2035, 308, 341, 556, 27196, 396, 20804, 311, 292, 225, 88, 76, 73, 2885, 717, 13, 203, 389, 4386, 43739, 29380, 16, 49765, 290, 4038, 5103, 203, 19789, 308, 37480, 389, 16557, 16, 9906, 4529, 472, 203, 378, 998, 34130, 16, 1072, 334, 3813, 290, 5103, 292, 30238, 3943, 203, 33463, 8607, 16633, 50039, 16, 6432, 16, 12312, 17279, 290, 15649, 203, 44655, 37024, 16, 43028, 6432, 290, 15649, 203, 8799, 1211, 77, 39012, 367, 637, 69, 48934, 367, 16, 5103, 16, 5267, 16, 290, 50067, 203, 19898, 42079, 80, 410, 11372, 16, 1928, 17, 15534, 5103, 910, 1712, 326, 409, 8784, 2313, 203, 19898, 39012, 362, 9773, 3673, 16, 5068, 15649, 16, 1670, 10600, 290, 5103, 203, 319, 719, 85, 8607, 16, 5103, 16, 6432, 290, 8259, 910, 1712, 326, 225, 88, 76, 73, 9925, 267, 17, 367, 17, 50, 4158, 1353, 448, 203, 16195, 3742, 40364, 16, 2411, 290, 14387, 203, 2120, 282, 8799, 78, 6950, 69, 8607, 16, 2411, 16, 11430, 16, 2321, 23368, 16, 4124, 4633, 16, 17279, 290, 18045, 472, 18, 203, 2120, 282, 351, 3809, 9717, 8607, 16, 5103, 290, 15648, 203, 2120, 282, 27614, 8194, 1485, 1021, 16, 20525, 17, 11345, 5103, 203, 2120, 282, 7791, 593, 513, 17, 13540, 82, 16, 9858, 20525, 17, 11345, 5103, 203, 2120, 282, 16195, 1498, 35309, 16, 3285, 286, 339, 18578, 8040, 526, 724, 2411, 203, 2120, 282, 23290, 16, 3972, 225, 88, 76, 73, 724, 23294, 3401, 19284, 291, 36836, 291, 1958, 88, 76, 3503, 203, 203, 19207, 203, 1294, 7467, 362, 351, 1377, 16, 2639, 6666, 28174, 1946, 88, 76, 17832, 5669, 203, 1099, 5305, 528, 4616, 77, 82, 16, 1864, 2639, 290, 20193, 286, 28912, 290, 30210, 203, 45156, 34956, 76, 457, 31554, 72, 76, 1384, 16, 1814, 88, 76, 6208, 292, 5349, 9718, 292, 225, 88, 76, 73, 16016, 5349, 203, 44655, 6729, 89, 3673, 31554, 72, 76, 1384, 16, 9281, 17, 77, 82, 17, 21066, 292, 225, 88, 76, 73, 16016, 5349, 203, 7662, 349, 347, 351, 18, 332, 18, 421, 18, 8298, 30007, 16, 9447, 16365, 292, 225, 88, 76, 73, 25981, 2018, 10430, 28021, 203, 8121, 45570, 8607, 11372, 16, 16016, 8220, 7611, 47843, 290, 225, 88, 76, 73, 6208, 292, 16694, 9718, 203, 8121, 33842, 322, 40364, 14490, 410, 35883, 16, 16016, 5349, 21018, 29481, 16, 12989, 225, 88, 76, 73, 745, 5012, 12980, 36836, 291, 225, 88, 76, 73, 9061, 5349, 203, 33078, 13692, 322, 12893, 16, 377, 334, 6208, 292, 5349, 9718, 292, 225, 88, 76, 73, 16016, 5349, 16, 9198, 2639, 1154, 225, 88, 76, 73, 16016, 29922, 2446, 203, 19898, 16954, 44256, 46300, 349, 16, 16016, 526, 1361, 6208, 292, 3062, 9718, 203, 39012, 362, 10686, 85, 16, 1361, 8958, 6715, 292, 16016, 8220, 203, 8706, 5625, 14235, 292, 421 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 467, 16, 11145, 1584, 225, 88, 76, 73, 16824, 1154, 225, 88, 76, 73, 1429, 8340, 292, 18578, 8040, 203, 2120, 282, 33078, 1343, 567, 362, 9773, 3673, 16, 16016, 5349, 6666, 290, 41912, 1829, 203, 2120, 282, 21506, 347, 37686, 696, 46395, 1021, 4342, 284, 292, 781, 1811, 37686, 2813, 306, 94, 16195, 203, 203, 8830, 5768, 87, 290, 28374, 203, 6292, 263, 3034, 1241, 292, 5488, 30, 203, 19980, 27960, 91, 1286, 19006, 454, 593, 16, 452, 88, 76, 6199, 292, 225, 88, 76, 73, 421, 467, 6248, 203, 4682, 261, 32118, 16, 3752, 45489, 8953, 292, 421, 467, 203, 30718, 13852, 16, 4223, 2639, 290, 1700, 17, 80, 9084, 8953, 292, 23255, 81, 42523, 811, 19006, 454, 593, 203, 17325, 514, 90, 32118, 16, 11970, 292, 23255, 81, 42523, 396, 87, 4231, 18578, 8040, 13, 811, 14440, 7054, 6248, 203, 421, 467, 19006, 15848, 16, 2243, 6199, 292, 225, 88, 76, 73, 421, 467, 6248, 16, 9561, 291, 225, 88, 76, 73, 1429, 8340, 292, 18578, 8040, 203, 40503, 32118, 16, 2243, 8953, 292, 421, 467, 203, 27014, 47309, 11372, 16954, 18058, 16, 724, 268, 890, 347, 292, 11237, 324, 203, 9233, 35883, 16954, 18058, 16, 1361, 268, 890, 347, 292, 11237, 324, 203, 8799, 85, 10036, 11372, 16, 268, 890, 347, 292, 11237, 324, 291, 2116, 3475, 203, 556, 7551, 1485, 333, 11372, 16, 8953, 292, 11237, 324, 16, 8568, 4129, 46483, 203, 14490, 25023, 37024, 16, 294, 506, 322, 292, 11237, 324, 16, 8568, 4129, 46483, 203, 5839, 7467, 11372, 16, 39914, 349, 292, 18578, 8040, 819, 49749, 7402, 11372, 203, 7880, 11372, 16, 39914, 349, 290, 1383, 261, 1828, 8332, 292, 18578, 8040, 203, 4254, 890, 333, 292, 18578, 8040, 16, 2349, 83, 17, 38, 9309, 5853, 11507, 6715, 876, 596, 13785, 658, 2217, 18578, 8040, 203, 19898, 3024, 77, 16, 1524, 36112, 31428, 203, 9697, 91, 17253, 2812, 1010, 16, 2349, 83, 17, 38, 9309, 5853, 11507, 6715, 876, 596, 13785, 658, 2027, 18578, 8040, 203, 351, 523, 284, 553, 11372, 16, 43055, 274, 266, 454, 284, 292, 18578, 8040, 16, 11145, 1584, 798, 2349, 83, 17, 38, 45082, 5853, 6715, 28559, 203, 25981, 1971, 321, 11372, 16, 43055, 274, 266, 454, 284, 292, 18578, 8040, 596, 703, 1708, 1620, 5081, 1021, 35883, 292, 19057, 203, 7880, 480, 21835, 317, 322, 23306, 726, 16, 43055, 274, 266, 454, 284, 292, 18578, 8040, 203, 23659, 328, 1010, 9636, 1239, 77, 16, 43055, 274, 795, 17, 87, 454, 284, 292, 18578, 8040, 16, 23560, 658, 7445, 2994, 292, 18578, 8040, 203, 34285, 746, 10109, 19201, 18058, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 423, 1958, 7096, 286, 1958, 5210, 203, 1498, 74, 14037, 38728, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 2120, 282, 33463, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 2011, 19898, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 8121, 501, 1181, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 6729, 16357, 11372, 16, 745, 761, 17, 4873, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 319, 719, 85, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 557, 328, 311, 24017, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 290, 7754, 292, 557, 267, 880, 78, 203, 19657, 77, 24017, 11372, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 28044, 14490, 333, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 203, 37013, 19201, 18058, 16, 43055, 274, 278, 893, 78, 35883, 292, 18578, 8040, 290, 28141, 15672, 203, 5358, 26113, 16, 832, 88, 76, 32660, 290, 377, 334, 19654, 292, 18578, 8040, 423, 1946, 7928, 286, 44155, 203, 27715, 284, 11372, 16, 1172, 278, 893, 78, 35883, 292, 18578, 8040, 203, 203, 11780, 290, 4770, 203, 995, 2156, 40364, 16, 6693, 290, 1452, 4726, 203, 332, 24137, 9697, 328, 45398, 16, 18220, 290, 37809, 203, 34710, 285, 30000, 25169, 16, 9906, 6693, 290, 11394, 203, 1466, 1571, 43304, 319, 9431, 16, 28760, 6693, 203, 421, 9283, 755, 1942, 76, 1384, 16, 1452, 4726, 203, 11192, 10128, 47687, 34139, 45754, 31322, 16, 9906, 6693, 203, 24818, 6333, 39324, 16, 6693, 16, 7203, 290, 23467, 472, 203, 5261, 7402, 12207, 389, 327, 4395, 16, 23467, 472, 290, 11394, 292, 9906, 290, 3222, 294, 3032, 552, 203, 7902, 21283, 382, 25169, 16, 9850, 290, 9906, 10711, 203, 395, 2014, 593, 2895, 2962, 77, 16, 6693, 290, 7944, 203, 8309, 69, 411, 552, 69, 16, 28760, 6693, 203, 3024, 27850, 70, 31554, 72, 76, 1384, 16, 6693, 290, 11430, 203, 16195, 24568, 6129, 355, 16, 1072, 334, 3813, 290, 9906, 19949, 203, 35514, 4880, 4342, 1600, 16, 6693, 290, 17135, 1795, 2946, 203, 781, 1742, 2512, 25169, 16, 9906, 10711, 203, 781, 10841, 306, 6315, 16, 225, 28760, 6693, 203, 5081, 347, 428, 14037, 16, 28760, 6693, 203, 361, 7839, 8453, 3070, 1007, 16, 28760, 6693, 203, 203, 29661, 290, 2151, 203, 203, 30745, 80, 10652, 4327, 13692, 308, 16195, 333, 16, 2677, 6715, 25907, 326, 16016, 14251, 2119, 3556, 203, 957, 1923, 9773, 3673, 755, 1942, 76, 1384, 16, 11582, 292, 18578, 8040, 203, 8194, 284, 528, 4616, 77, 82, 20705, 12781, 9497, 16, 2677, 11582, 292, 18578, 8040, 203, 331, 18, 351, 18, 781, 27010, 46602, 16, 2677, 14667, 43379, 31578, 203, 46180, 553, 20705, 18393, 410, 1007, 16, 12143, 292, 16016, 3537, 34864, 4668, 16, 8155, 5909, 5202, 4119, 292, 13344, 290, 7754, 292, 13517, 11337, 203, 14301, 328, 367, 26323, 333, 755, 1942, 76, 1384, 16, 2677, 8863, 292, 225, 88, 76, 73, 478, 3451, 4568, 23784, 87, 317, 16, 12405, 334, 3296, 292, 225, 88, 76, 73, 6826, 4138, 8793, 203, 314, 487, 287, 8607, 16, 48309, 8312, 292, 225, 88, 76, 73, 16016, 2090, 4771, 203, 351, 1807, 69, 528, 4616, 77, 82, 31554, 72, 76, 1384, 395, 4802, 16, 9936, 17, 31892, 292, 16016, 2090, 472, 4771, 17, 14464, 321, 880, 78, 203, 781, 27010, 85, 322, 40364, 16, 40853, 292, 16016, 16209, 267, 17, 73, 17, 3987, 80 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 2119, 203, 2120, 282, 8799, 4906, 353, 8607, 16, 5193, 1310, 6666, 16, 864, 27717, 290, 2269, 31578, 203, 203, 20166, 2864, 810, 203, 478, 18, 395, 18, 29037, 588, 347, 15427, 392, 16, 2116, 88, 76, 6208, 8381, 292, 16016, 203, 8121, 33842, 362, 47702, 755, 1942, 76, 1384, 16, 1814, 88, 76, 6208, 8381, 292, 16016, 203, 11907, 42512, 21227, 13597, 3192, 16, 2967, 334, 6208, 8381, 292, 16016, 203, 2120, 282, 332, 18, 361, 18, 8121, 33842, 378, 1441, 392, 16, 384, 348, 6208, 8381, 292, 16016, 203, 203, 14100, 203, 24568, 378, 512, 353, 31554, 72, 76, 1384, 16, 3551, 9061, 23744, 7496, 290, 2090, 8793, 203, 24568, 14490, 333, 11372, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 22, 1563, 24568, 351, 5391, 16, 2677, 7593, 326, 351, 3186, 90, 570, 26398, 17, 22, 203, 24568, 10518, 355, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 21, 203, 24568, 8799, 85, 285, 11372, 16, 2677, 7593, 326, 18578, 8040, 17, 23, 203, 24568, 31377, 7283, 16, 2677, 7593, 326, 225, 88, 76, 73, 2369, 334, 6363, 18578, 8040, 17, 2721, 20383, 1563, 24568, 1383, 1021, 347, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 18578, 8040, 17, 25, 203, 13692, 322, 11798, 2385, 16, 3551, 9061, 23744, 7496, 290, 2090, 8793, 203, 13692, 322, 19828, 355, 16, 2677, 7593, 326, 18578, 8040, 17, 26, 203, 17488, 3523, 293, 46538, 18, 351, 36791, 82, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 23, 203, 17488, 47229, 347, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 23, 203, 2790, 362, 10198, 17153, 46538, 18, 24568, 21931, 16, 2677, 2260, 292, 225, 88, 76, 73, 478, 3451, 4568, 23784, 87, 317, 203, 23811, 49, 47226, 579, 528, 4616, 77, 82, 16, 2677, 7593, 326, 18578, 8040, 17, 26, 203, 1898, 73, 4944, 37825, 410, 781, 27010, 85, 16, 4956, 290, 16209, 267, 17, 73, 17, 3987, 80, 2119, 9696, 203, 2349, 367, 10364, 16, 2677, 7593, 326, 4857, 321, 880, 78, 17, 21, 203, 389, 20297, 6729, 333, 421, 18058, 16, 2677, 4467, 292, 15512, 5327, 78, 17, 21, 203, 389, 639, 284, 378, 1441, 392, 12767, 355, 16, 2677, 7593, 326, 18578, 8040, 17, 24, 203, 430, 1918, 362, 9773, 3673, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 18578, 8040, 17, 22, 203, 13249, 11536, 31554, 72, 76, 1384, 2407, 89, 16, 361, 24242, 9696, 203, 421, 18058, 33078, 21627, 809, 560, 890, 16, 7593, 326, 15512, 5327, 78, 17, 21, 203, 24870, 34250, 20705, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 4857, 321, 880, 78, 17, 23, 203, 11222, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 18578, 8040, 17, 25, 203, 1498, 16951, 20705, 31554, 72, 76, 1384, 16, 7593, 326, 15512, 5327, 78, 17, 21, 203, 11967, 69, 50138, 31456, 16, 9696, 290, 4956, 203, 25766, 299, 322, 40364, 31554, 72, 76, 1384, 16, 7593, 326, 15512, 5327, 78, 17, 21, 203, 556, 5920, 3417, 24568, 37963, 16, 2677, 7593, 326, 18578, 8040, 17, 21, 203, 34285, 35607, 40364, 16, 2677, 7593, 326, 18578, 8040, 17, 26, 203, 8121, 33842, 2812, 4532, 317, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 18578, 8040, 17, 23, 203, 8121, 45570, 8607, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 24, 203, 7056, 85, 538, 391, 20315, 425, 9559, 553, 41925, 16, 2677, 7593, 326, 18578, 8040, 17, 22, 203, 26596, 21627, 6990, 16, 2677, 7593, 326, 351, 3186, 90, 570, 26398, 17, 22, 1563, 2610, 4906, 353, 378, 1441, 392, 16605, 261, 16, 2677, 7593, 326, 4857, 321, 880, 78, 17, 21, 203, 43393, 8374, 347, 11372, 16, 7593, 326, 18578, 8040, 17, 22, 203, 2610, 2748, 322, 40364, 1524, 1365, 16, 2677, 7593, 326, 4857, 321, 880, 78, 17, 25, 203, 3531, 28293, 8607, 16, 2260, 292, 225, 88, 76, 73, 16016, 43002, 300, 8793, 290, 2677, 9049, 292, 15512, 5327, 78, 203, 40113, 81, 362, 45156, 47229, 282, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 22, 203, 428, 5916, 40364, 16, 2677, 7593, 326, 351, 3186, 90, 570, 26398, 17, 23, 290, 12143, 292, 225, 88, 76, 73, 25024, 35607, 40364, 5031, 203, 39914, 349, 8607, 38070, 11372, 16, 478, 3451, 4568, 4771, 9696, 290, 1220, 17, 2378, 7593, 326, 351, 3186, 90, 570, 26398, 17, 22, 203, 11408, 355, 12781, 9497, 755, 1942, 76, 1384, 16, 2677, 7593, 203, 27614, 393, 890, 80, 322, 40364, 16, 2677, 7593, 326, 4857, 321, 880, 78, 17, 24, 203, 4342, 355, 528, 4616, 77, 82, 16, 2677, 7593, 326, 18578, 8040, 17, 25, 203, 781, 27010, 20705, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 18578, 8040, 17, 23, 203, 16195, 9559, 553, 322, 40364, 16, 2677, 7593, 326, 18578, 8040, 17, 22, 203, 16931, 501, 528, 4616, 77, 82, 556, 5136, 46898, 16, 2677, 7593, 326, 18578, 8040, 17, 26, 203, 32721, 8375, 78, 267, 30224, 16, 2677, 7593, 326, 15512, 5327, 78, 17, 21, 1563, 23290, 33078, 16708, 322, 20705, 16, 2260, 292, 478, 3451, 4568, 23784, 87, 317, 290, 4977, 9936, 17, 31892, 292, 38242, 1495, 4795, 7773, 11, 4970, 203, 2120, 282, 7056, 2748, 362, 45156, 16, 2677, 7593, 326, 18578, 8040, 17, 2455, 203, 2120, 282, 15881, 9782, 378, 1441, 392, 16, 2677, 7593, 326, 18578, 8040, 17, 26, 203, 2120, 17665, 319, 37869, 2610, 3126, 77, 82, 16, 2677, 7593, 326, 351, 3186, 90, 570, 26398, 17, 23, 203, 24041, 26832, 31554, 72, 76, 1384, 16, 2677, 7593, 326, 18578, 8040, 17, 22, 203, 203, 38298, 1039, 203, 24568, 9773, 3673, 16, 2677, 6065, 9434, 290, 21907, 87, 5604, 203, 24568, 1524, 13315, 16, 5604, 292, 10235, 203, 13692, 308, 4532, 317, 9559, 317, 16, 2677, 11432, 5604, 292, 16016, 203, 23811, 24568, 351, 1377, 16, 5604, 292, 11432, 10689, 203, 430, 1918, 362, 9773, 3673, 3531, 28293, 16195, 333, 16, 2677, 5604, 292, 5049, 27996, 203, 4298, 9497, 28044, 16, 5604, 292, 1461, 20914, 775, 11, 27996, 290, 38412, 21730, 203, 25981, 76, 749, 322, 40364, 31554, 72, 76, 1384, 16, 2677, 9908, 262, 286, 3296, 314, 1286, 37686, 20705, 203, 781 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 1811, 341, 351, 18, 31554, 72, 76, 1384, 16, 14667, 43379, 31578, 290, 2677, 13324, 292, 225, 88, 76, 73, 7738, 292, 11432, 10689, 203, 16195, 349, 528, 4616, 77, 82, 16, 5604, 292, 8088, 16, 8221, 290, 15973, 10415, 203, 4030, 32012, 285, 50138, 31456, 16, 2677, 5604, 292, 30714, 203, 2120, 282, 2610, 3126, 77, 82, 8607, 16, 2677, 5604, 292, 5049, 27996, 203, 46300, 6172, 85, 17, 73, 17, 41, 4880, 448, 31554, 72, 76, 1384, 16, 2183, 25559, 286, 225, 88, 76, 73, 8517, 5604, 292, 16016, 203, 395, 9822, 69, 556, 31554, 72, 76, 1384, 16, 4218, 290, 2885, 2528, 25559, 286, 225, 88, 76, 73, 4547, 28263, 5425, 3119, 431, 393, 480, 606, 37686, 20705, 203, 203, 12808, 3350, 203, 24568, 5905, 28838, 18393, 410, 35883, 16, 6132, 16451, 290, 3506, 4467, 1712, 326, 19016, 225, 88, 76, 73, 2349, 480, 5158, 291, 3350, 203, 361, 546, 77, 82, 44949, 3853, 16, 3550, 34375, 16, 554, 2630, 292, 225, 88, 76, 73, 30000, 5198, 3853, 439, 1795, 1650, 405, 203, 39914, 349, 8607, 378, 759, 262, 11372, 16, 1260, 88, 76, 39914, 349, 292, 5656, 4880, 16, 8953, 290, 4467, 292, 225, 88, 76, 73, 13159, 8784, 4771, 203, 2120, 282, 24568, 14490, 333, 331, 14642, 16, 724, 5910, 8953, 292, 34563, 16, 18258, 292, 225, 88, 76, 73, 10834, 1950, 203, 203, 39302, 203, 42159, 362, 8675, 333, 16, 4582, 5604, 292, 34563, 290, 1708, 3551, 19057, 203, 3894, 89, 28044, 24568, 46180, 553, 16, 18578, 8040, 8784, 3556, 7754, 290, 8128, 203, 42159, 362, 9331, 3673, 16, 9696, 16, 8128, 290, 6132, 16451, 203, 49, 3186, 4594, 13692, 308, 41299, 16, 21716, 5604, 292, 3551, 19057, 203, 42159, 362, 9697, 1081, 3673, 20705, 16, 2260, 292, 225, 88, 76, 73, 685, 4263, 2090, 8793, 292, 9061, 203, 42159, 362, 351, 5391, 755, 1618, 76, 578, 16, 2260, 292, 225, 88, 76, 73, 377, 334, 2090, 8793, 292, 9061, 290, 9061, 526, 724, 5604, 292, 16425, 203, 42159, 362, 351, 3893, 9324, 355, 755, 1618, 76, 1384, 16, 2260, 292, 225, 88, 76, 73, 685, 4263, 2090, 8793, 292, 9061, 203, 37, 1211, 349, 8607, 16, 7754, 292, 1558, 17, 20226, 1776, 38999, 526, 11228, 290, 9936, 17, 31892, 292, 1558, 17, 20226, 10964, 4970, 6377, 203, 37, 78, 7672, 8607, 16, 2260, 292, 225, 88, 76, 73, 832, 88, 76, 2090, 8793, 292, 9061, 203, 37, 18207, 328, 21227, 25169, 16, 2260, 292, 225, 88, 76, 73, 377, 334, 2090, 8793, 292, 9061, 203, 15040, 4541, 21227, 25169, 16, 2260, 292, 225, 88, 76, 73, 384, 348, 2090, 8793, 292, 9061, 203, 3111, 75, 410, 3129, 1286, 367, 637, 69, 755, 1942, 76, 1384, 16, 2260, 292, 225, 88, 76, 73, 685, 4263, 2090, 8793, 292, 9061, 203, 22320, 33842, 8607, 16, 14045, 14664, 4467, 16, 3984, 1010, 203, 11503, 14955, 12660, 321, 267, 8607, 16, 10821, 16, 40397, 290, 9696, 203, 49, 1742, 1021, 333, 28044, 4254, 753, 11931, 16, 2260, 292, 225, 88, 76, 73, 685, 4263, 2090, 8793, 292, 9061, 203, 33463, 8607, 16633, 50039, 16, 6432, 16, 12312, 17279, 290, 15649, 203, 32517, 4906, 321, 20705, 755, 1942, 76, 1384, 16, 2260, 292, 225, 88, 76, 73, 832, 88, 76, 2090, 8793, 292, 9061, 203, 32517, 14955, 47702, 16, 2260, 292, 225, 88, 76, 73, 685, 4263, 2090, 8793, 292, 9061, 203, 49, 3809, 9717, 395, 9717, 755, 1942, 45571, 16, 2260, 292, 225, 88, 76, 73, 377, 334, 2090, 8793, 292, 9061, 203, 55, 382, 746, 995, 298, 16, 2260, 292, 225, 88, 76, 73, 3551, 19057, 18709, 8793, 203, 53, 19131, 362, 332, 3126, 261, 16, 2260, 292, 225, 88, 76, 73, 685, 4263, 2090, 8793, 292, 9061, 203, 203, 20226, 203, 24568, 10518, 355, 755, 1942, 76, 1384, 16, 2677, 39693, 292, 6129, 355, 880, 78, 2027, 203, 332, 18, 393, 18, 26460, 321, 8298, 30007, 16, 3550, 2090, 6377, 2260, 203, 30718, 16814, 36908, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 1294, 7467, 46021, 411, 2105, 284, 16, 1558, 3350, 1851, 9170, 10553, 9696, 203, 1099, 5305, 528, 4616, 77, 82, 16, 2260, 292, 225, 88, 76, 73, 1524, 36112, 18709, 8793, 203, 1456, 2156, 40364, 18393, 31664, 45082, 4568, 16, 1558, 3350, 1851, 9170, 10553, 9696, 203, 9559, 317, 1343, 12207, 16, 2260, 292, 225, 88, 76, 73, 2339, 469, 274, 8377, 18709, 8793, 203, 9559, 553, 20705, 11372, 16, 2677, 39693, 292, 6129, 355, 880, 78, 2027, 203, 5498, 1410, 4152, 37040, 16, 39693, 292, 16605, 349, 2829, 203, 43223, 4116, 1428, 42393, 18393, 410, 1007, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 27526, 546, 21227, 3833, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 25391, 620, 69, 42393, 25169, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 16362, 77, 4342, 355, 528, 4616, 77, 82, 9172, 45082, 4568, 16, 39693, 292, 48783, 480, 14037, 203, 23319, 695, 1428, 8888, 6220, 506, 3192, 16, 5012, 4467, 292, 27539, 3451, 4568, 2011, 1181, 4771, 291, 34563, 203, 36035, 20412, 11879, 14407, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 12781, 274, 480, 26832, 389, 471, 8888, 6220, 506, 3192, 16, 2677, 39693, 292, 6129, 355, 880, 78, 2217, 203, 6129, 82, 445, 89, 34139, 45754, 284, 27850, 16, 3550, 2090, 6377, 2260, 203, 31337, 1365, 319, 4944, 13597, 3192, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 556, 417, 5181, 902, 13290, 1021, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 21675, 82, 445, 89, 3833, 16, 39693, 292, 12792, 620, 14037, 203, 30000, 285, 45593, 31712, 23081, 759, 4568, 16, 3550, 2090, 6377, 2260, 203, 4682, 3038, 457, 593, 13283, 45759, 16, 2677, 39693, 292, 12792, 620, 14037, 396, 17802, 17, 16117, 13, 203, 9866, 20412, 11879, 25169, 16, 27539, 3451, 4568, 2011, 1181, 4771, 9696, 203, 351, 1350, 362, 9331, 3673, 755, 1942, 76, 1384, 16, 2176, 17, 2378, 39693, 16, 797, 17, 2378, 6826, 4138, 8793, 8886, 290, 5604, 292, 12834, 4691, 203, 15128, 44949, 25169, 16, 3550, 2090, 6377, 2260, 203, 8303, 7402, 20412, 11879, 411, 2105, 284, 16, 3550, 2090, 6377, 2260, 203 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

Datasets:

olm
/

olm-december-2022-tokenized-1024

Dataset Card for "olm-december-2022-tokenized-1024"